From 99f3fe1eceecccb7d9487e8ecdb171c7d6865428 Mon Sep 17 00:00:00 2001 From: jthorn Date: Wed, 28 Aug 2002 11:42:25 +0000 Subject: add Maple code and C skeletons for Hermite polynomial interpolation git-svn-id: http://svn.cactuscode.org/arrangements/CactusBase/LocalInterp/trunk@101 df1f8a13-aa1d-4dd4-9681-27ded5b42416 --- .../1d.coeffs/1d.cube.order2/coeff-I.compute.c | 12 + .../1d.coeffs/1d.cube.order2/coeff-dx.compute.c | 8 + .../1d.coeffs/1d.cube.order2/coeff-dxx.compute.c | 4 + .../1d.coeffs/1d.cube.order3/coeff-I.compute.c | 17 + .../1d.coeffs/1d.cube.order3/coeff-dx.compute.c | 11 + .../1d.coeffs/1d.cube.order3/coeff-dxx.compute.c | 6 + .../1d.coeffs/1d.cube.order4/coeff-I.compute.c | 33 + .../1d.coeffs/1d.cube.order4/coeff-dx.compute.c | 20 + .../1d.coeffs/1d.cube.order4/coeff-dxx.compute.c | 20 + .../Hermite/1d.cube.order2.c | 49 + .../Hermite/1d.cube.order3.c | 49 + .../Hermite/1d.cube.order4.c | 49 + src/GeneralizedPolynomial-Uniform/Hermite/1d.log | 2420 + src/GeneralizedPolynomial-Uniform/Hermite/1d.maple | 106 + .../2d.coeffs/2d.cube.order2/coeff-I.compute.c | 132 + .../2d.coeffs/2d.cube.order2/coeff-dx.compute.c | 125 + .../2d.coeffs/2d.cube.order2/coeff-dxx.compute.c | 104 + .../2d.coeffs/2d.cube.order2/coeff-dxy.compute.c | 120 + .../2d.coeffs/2d.cube.order2/coeff-dy.compute.c | 124 + .../2d.coeffs/2d.cube.order2/coeff-dyy.compute.c | 106 + .../2d.coeffs/2d.cube.order3/coeff-I.compute.c | 341 + .../2d.coeffs/2d.cube.order3/coeff-dx.compute.c | 275 + .../2d.coeffs/2d.cube.order3/coeff-dxx.compute.c | 218 + .../2d.coeffs/2d.cube.order3/coeff-dxy.compute.c | 296 + .../2d.coeffs/2d.cube.order3/coeff-dy.compute.c | 277 + .../2d.coeffs/2d.cube.order3/coeff-dyy.compute.c | 214 + .../Hermite/2d.cube.order2.c | 62 + .../Hermite/2d.cube.order3.c | 62 + src/GeneralizedPolynomial-Uniform/Hermite/2d.log | 5668 + src/GeneralizedPolynomial-Uniform/Hermite/2d.maple | 114 + .../3d.coeffs/3d.cube.order2/coeff-I.compute.c | 1276 + .../3d.coeffs/3d.cube.order2/coeff-dx.compute.c | 1142 + .../3d.coeffs/3d.cube.order2/coeff-dxx.compute.c | 910 + .../3d.coeffs/3d.cube.order2/coeff-dxy.compute.c | 1122 + .../3d.coeffs/3d.cube.order2/coeff-dxz.compute.c | 1139 + .../3d.coeffs/3d.cube.order2/coeff-dy.compute.c | 1135 + .../3d.coeffs/3d.cube.order2/coeff-dyy.compute.c | 972 + .../3d.coeffs/3d.cube.order2/coeff-dyz.compute.c | 1152 + .../3d.coeffs/3d.cube.order2/coeff-dz.compute.c | 1165 + .../3d.coeffs/3d.cube.order2/coeff-dzz.compute.c | 955 + .../3d.coeffs/3d.cube.order3/coeff-I.compute.c | 4369 + .../3d.coeffs/3d.cube.order3/coeff-dx.compute.c | 4354 + .../3d.coeffs/3d.cube.order3/coeff-dxx.compute.c | 3556 + .../3d.coeffs/3d.cube.order3/coeff-dxy.compute.c | 4201 + .../3d.coeffs/3d.cube.order3/coeff-dxz.compute.c | 4252 + .../3d.coeffs/3d.cube.order3/coeff-dy.compute.c | 4279 + .../3d.coeffs/3d.cube.order3/coeff-dyy.compute.c | 3538 + .../3d.coeffs/3d.cube.order3/coeff-dyz.compute.c | 4267 + .../3d.coeffs/3d.cube.order3/coeff-dz.compute.c | 4307 + .../3d.coeffs/3d.cube.order3/coeff-dzz.compute.c | 3517 + .../Hermite/3d.cube.order2.c | 82 + .../Hermite/3d.cube.order3.c | 82 + src/GeneralizedPolynomial-Uniform/Hermite/3d.log | 161292 ++++++++++++++++++ src/GeneralizedPolynomial-Uniform/Hermite/3d.maple | 170 + .../Hermite/all_prototypes.h | 44 + .../Hermite/fns.maple | 451 + .../Hermite/make.code.defn | 15 + src/GeneralizedPolynomial-Uniform/Hermite/makefile | 66 + 58 files changed, 224852 insertions(+) create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/1d.coeffs/1d.cube.order2/coeff-I.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/1d.coeffs/1d.cube.order2/coeff-dx.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/1d.coeffs/1d.cube.order2/coeff-dxx.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/1d.coeffs/1d.cube.order3/coeff-I.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/1d.coeffs/1d.cube.order3/coeff-dx.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/1d.coeffs/1d.cube.order3/coeff-dxx.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/1d.coeffs/1d.cube.order4/coeff-I.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/1d.coeffs/1d.cube.order4/coeff-dx.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/1d.coeffs/1d.cube.order4/coeff-dxx.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/1d.cube.order2.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/1d.cube.order3.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/1d.cube.order4.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/1d.log create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/1d.maple create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order2/coeff-I.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order2/coeff-dx.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order2/coeff-dxx.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order2/coeff-dxy.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order2/coeff-dy.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order2/coeff-dyy.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order3/coeff-I.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order3/coeff-dx.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order3/coeff-dxx.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order3/coeff-dxy.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order3/coeff-dy.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order3/coeff-dyy.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/2d.cube.order2.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/2d.cube.order3.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/2d.log create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/2d.maple create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-I.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-dx.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-dxx.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-dxy.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-dxz.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-dy.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-dyy.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-dyz.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-dz.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-dzz.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-I.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-dx.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-dxx.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-dxy.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-dxz.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-dy.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-dyy.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-dyz.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-dz.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-dzz.compute.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/3d.cube.order2.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/3d.cube.order3.c create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/3d.log create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/3d.maple create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/all_prototypes.h create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/fns.maple create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/make.code.defn create mode 100644 src/GeneralizedPolynomial-Uniform/Hermite/makefile diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/1d.coeffs/1d.cube.order2/coeff-I.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/1d.coeffs/1d.cube.order2/coeff-I.compute.c new file mode 100644 index 0000000..81bc4e1 --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/1d.coeffs/1d.cube.order2/coeff-I.compute.c @@ -0,0 +1,12 @@ +fp t4, + t3, + t2, + t1; + t4 = x*x; + t3 = x*t4; + t2 = RATIONAL(1.0,2.0); + t1 = RATIONAL(-1.0,2.0); + coeff_I_m1 = t4+(x+t3)*t1; + coeff_I_0 = RATIONAL(-5.0,2.0)*t4+RATIONAL(1.0,1.0)+RATIONAL(3.0,2.0)*t3; + coeff_I_p1 = RATIONAL(-3.0,2.0)*t3+t2*x+RATIONAL(2.0,1.0)*t4; + coeff_I_p2 = t2*t3+t1*t4; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/1d.coeffs/1d.cube.order2/coeff-dx.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/1d.coeffs/1d.cube.order2/coeff-dx.compute.c new file mode 100644 index 0000000..91da0b2 --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/1d.coeffs/1d.cube.order2/coeff-dx.compute.c @@ -0,0 +1,8 @@ +fp t6; + t6 = x*x; + coeff_dx_m1 = RATIONAL(2.0,1.0)*x+RATIONAL(-3.0,2.0)*t6+RATIONAL(-1.0,2.0 +); + coeff_dx_0 = RATIONAL(-5.0,1.0)*x+RATIONAL(9.0,2.0)*t6; + coeff_dx_p1 = RATIONAL(1.0,2.0)+RATIONAL(4.0,1.0)*x+RATIONAL(-9.0,2.0)*t6 +; + coeff_dx_p2 = -x+RATIONAL(3.0,2.0)*t6; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/1d.coeffs/1d.cube.order2/coeff-dxx.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/1d.coeffs/1d.cube.order2/coeff-dxx.compute.c new file mode 100644 index 0000000..9cb9a24 --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/1d.coeffs/1d.cube.order2/coeff-dxx.compute.c @@ -0,0 +1,4 @@ + coeff_dxx_m1 = RATIONAL(2.0,1.0)+RATIONAL(-3.0,1.0)*x; + coeff_dxx_0 = RATIONAL(-5.0,1.0)+RATIONAL(9.0,1.0)*x; + coeff_dxx_p1 = RATIONAL(-9.0,1.0)*x+RATIONAL(4.0,1.0); + coeff_dxx_p2 = RATIONAL(-1.0,1.0)+RATIONAL(3.0,1.0)*x; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/1d.coeffs/1d.cube.order3/coeff-I.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/1d.coeffs/1d.cube.order3/coeff-I.compute.c new file mode 100644 index 0000000..758efe3 --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/1d.coeffs/1d.cube.order3/coeff-I.compute.c @@ -0,0 +1,17 @@ +fp t10, + t9, + t8, + t7; + t10 = x*x; + t9 = x*t10; + t8 = RATIONAL(1.0,12.0); + t7 = RATIONAL(-1.0,12.0); + coeff_I_m2 = RATIONAL(-1.0,6.0)*t10+(x+t9)*t8; + coeff_I_m1 = RATIONAL(-2.0,3.0)*x+RATIONAL(5.0,4.0)*t10+RATIONAL(-7.0, +12.0)*t9; + coeff_I_0 = RATIONAL(-7.0,3.0)*t10+RATIONAL(1.0,1.0)+RATIONAL(4.0,3.0)*t9 +; + coeff_I_p1 = RATIONAL(-4.0,3.0)*t9+RATIONAL(2.0,3.0)*x+RATIONAL(5.0,3.0)* +t10; + coeff_I_p2 = RATIONAL(7.0,12.0)*t9+t7*x+RATIONAL(-1.0,2.0)*t10; + coeff_I_p3 = t7*t9+t8*t10; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/1d.coeffs/1d.cube.order3/coeff-dx.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/1d.coeffs/1d.cube.order3/coeff-dx.compute.c new file mode 100644 index 0000000..4300a83 --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/1d.coeffs/1d.cube.order3/coeff-dx.compute.c @@ -0,0 +1,11 @@ +fp t12; + t12 = x*x; + coeff_dx_m2 = RATIONAL(-1.0,3.0)*x+RATIONAL(1.0,12.0)+RATIONAL(1.0,4.0)* +t12; + coeff_dx_m1 = RATIONAL(-2.0,3.0)+RATIONAL(5.0,2.0)*x+RATIONAL(-7.0,4.0)* +t12; + coeff_dx_0 = RATIONAL(-14.0,3.0)*x+RATIONAL(4.0,1.0)*t12; + coeff_dx_p1 = RATIONAL(-4.0,1.0)*t12+RATIONAL(10.0,3.0)*x+RATIONAL(2.0, +3.0); + coeff_dx_p2 = RATIONAL(7.0,4.0)*t12+RATIONAL(-1.0,12.0)-x; + coeff_dx_p3 = RATIONAL(1.0,6.0)*x+RATIONAL(-1.0,4.0)*t12; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/1d.coeffs/1d.cube.order3/coeff-dxx.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/1d.coeffs/1d.cube.order3/coeff-dxx.compute.c new file mode 100644 index 0000000..79fc889 --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/1d.coeffs/1d.cube.order3/coeff-dxx.compute.c @@ -0,0 +1,6 @@ + coeff_dxx_m2 = RATIONAL(-1.0,3.0)+RATIONAL(1.0,2.0)*x; + coeff_dxx_m1 = RATIONAL(-7.0,2.0)*x+RATIONAL(5.0,2.0); + coeff_dxx_0 = RATIONAL(-14.0,3.0)+RATIONAL(8.0,1.0)*x; + coeff_dxx_p1 = RATIONAL(10.0,3.0)+RATIONAL(-8.0,1.0)*x; + coeff_dxx_p2 = RATIONAL(7.0,2.0)*x+RATIONAL(-1.0,1.0); + coeff_dxx_p3 = RATIONAL(1.0,6.0)+RATIONAL(-1.0,2.0)*x; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/1d.coeffs/1d.cube.order4/coeff-I.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/1d.coeffs/1d.cube.order4/coeff-I.compute.c new file mode 100644 index 0000000..139a39a --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/1d.coeffs/1d.cube.order4/coeff-I.compute.c @@ -0,0 +1,33 @@ +fp t23, + t24, + t22, + t20, + t19, + t18, + t17, + t16, + t15, + t14, + t13; + t23 = x*x; + t24 = x*t23; + t22 = t24*t23; + t20 = t23*t23; + t19 = RATIONAL(-1.0,24.0); + t18 = RATIONAL(1.0,12.0); + t17 = RATIONAL(-7.0,12.0); + t16 = RATIONAL(5.0,12.0); + t15 = RATIONAL(-1.0,12.0); + t14 = RATIONAL(13.0,12.0); + t13 = t19*t24; + coeff_I_m2 = t18*x+RATIONAL(-1.0,8.0)*t23+t13+RATIONAL(1.0,8.0)*t20+t19* +t22; + coeff_I_m1 = RATIONAL(-2.0,3.0)*x+t14*t23+t13+t17*t20+RATIONAL(5.0,24.0)* +t22; + coeff_I_0 = RATIONAL(-25.0,12.0)*t23+t16*t24+t14*t20+RATIONAL(1.0,1.0)+ +RATIONAL(-5.0,12.0)*t22; + coeff_I_p1 = t17*t24+RATIONAL(2.0,3.0)*x+RATIONAL(3.0,2.0)*t23+t16*t22- +t20; + coeff_I_p2 = t15*x+RATIONAL(-11.0,24.0)*t23+RATIONAL(7.0,24.0)*t24+ +RATIONAL(-5.0,24.0)*t22+RATIONAL(11.0,24.0)*t20; + coeff_I_p3 = t13+RATIONAL(1.0,24.0)*t22+t18*t23+t15*t20; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/1d.coeffs/1d.cube.order4/coeff-dx.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/1d.coeffs/1d.cube.order4/coeff-dx.compute.c new file mode 100644 index 0000000..2eac534 --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/1d.coeffs/1d.cube.order4/coeff-dx.compute.c @@ -0,0 +1,20 @@ +fp t30, + t29, + t28, + t27; + t30 = x*x; + t29 = x*t30; + t28 = t30*t30; + t27 = RATIONAL(-1.0,8.0)*t30; + coeff_dx_m2 = RATIONAL(1.0,2.0)*t29+RATIONAL(-5.0,24.0)*t28+t27+RATIONAL( +1.0,12.0)+RATIONAL(-1.0,4.0)*x; + coeff_dx_m1 = RATIONAL(-7.0,3.0)*t29+RATIONAL(13.0,6.0)*x+RATIONAL(25.0, +24.0)*t28+t27+RATIONAL(-2.0,3.0); + coeff_dx_0 = RATIONAL(-25.0,6.0)*x+RATIONAL(5.0,4.0)*t30+RATIONAL(13.0, +3.0)*t29+RATIONAL(-25.0,12.0)*t28; + coeff_dx_p1 = RATIONAL(-7.0,4.0)*t30+RATIONAL(3.0,1.0)*x+RATIONAL(-4.0, +1.0)*t29+RATIONAL(2.0,3.0)+RATIONAL(25.0,12.0)*t28; + coeff_dx_p2 = RATIONAL(-1.0,12.0)+RATIONAL(11.0,6.0)*t29+RATIONAL(-25.0, +24.0)*t28+RATIONAL(-11.0,12.0)*x+RATIONAL(7.0,8.0)*t30; + coeff_dx_p3 = RATIONAL(-1.0,3.0)*t29+RATIONAL(1.0,6.0)*x+RATIONAL(5.0, +24.0)*t28+t27; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/1d.coeffs/1d.cube.order4/coeff-dxx.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/1d.coeffs/1d.cube.order4/coeff-dxx.compute.c new file mode 100644 index 0000000..78113c5 --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/1d.coeffs/1d.cube.order4/coeff-dxx.compute.c @@ -0,0 +1,20 @@ +fp t37, + t36, + t35, + t34, + t33; + t37 = x*x; + t36 = t37*x; + t35 = RATIONAL(-1.0,4.0); + t34 = RATIONAL(-25.0,6.0); + t33 = t35*x; + coeff_dxx_m2 = t35+t33+RATIONAL(3.0,2.0)*t37+RATIONAL(-5.0,6.0)*t36; + coeff_dxx_m1 = RATIONAL(13.0,6.0)+t33+RATIONAL(-7.0,1.0)*t37+RATIONAL( +25.0,6.0)*t36; + coeff_dxx_0 = RATIONAL(-25.0,3.0)*t36+RATIONAL(13.0,1.0)*t37+t34+RATIONAL +(5.0,2.0)*x; + coeff_dxx_p1 = RATIONAL(3.0,1.0)+RATIONAL(-7.0,2.0)*x+RATIONAL(-12.0,1.0) +*t37+RATIONAL(25.0,3.0)*t36; + coeff_dxx_p2 = RATIONAL(11.0,2.0)*t37+t34*t36+RATIONAL(7.0,4.0)*x+ +RATIONAL(-11.0,12.0); + coeff_dxx_p3 = RATIONAL(5.0,6.0)*t36+RATIONAL(1.0,6.0)+t33-t37; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/1d.cube.order2.c b/src/GeneralizedPolynomial-Uniform/Hermite/1d.cube.order2.c new file mode 100644 index 0000000..02376e3 --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/1d.cube.order2.c @@ -0,0 +1,49 @@ +/* $Header$ */ + +#include +#include +#include +#include +#include + +#include "util_ErrorCodes.h" +#include "cctk.h" +#include "../InterpLocalUniform.h" + +/* function prototype */ +#define FUNCTION_NAME LocalInterp_UHermite_1dcube_2 +#include "../template.h" + +#define N_DIMS 1 +#define MOLECULE_MIN_M -1 +#define MOLECULE_MAX_M 2 +#define MOLECULE_SIZE 4 + +/* which derivative ops do we support? */ +#define HAVE_OP_I +#define HAVE_OP_DX +#define HAVE_OP_DXX + +/* note pathnames are all relative to *this* directory */ + +#define DATA_VAR_DCL_FILE_NAME "../common/1d.cube.size4/data-var.dcl.c" +#define DATA_VAR_ASSIGN_FILE_NAME "../common/1d.cube.size4/data-var.assign.c" + +#define COEFF_I_VAR_STORE_FILE_NAME "../common/1d.cube.size4/coeff-I.store.c" +#define COEFF_DX_VAR_STORE_FILE_NAME "../common/1d.cube.size4/coeff-dx.store.c" +#define COEFF_DXX_VAR_STORE_FILE_NAME "../common/1d.cube.size4/coeff-dxx.store.c" + +#define COEFF_I_DCL_FILE_NAME "../common/1d.cube.size4/coeff-I.dcl.c" +#define COEFF_DX_DCL_FILE_NAME "../common/1d.cube.size4/coeff-dx.dcl.c" +#define COEFF_DXX_DCL_FILE_NAME "../common/1d.cube.size4/coeff-dxx.dcl.c" + +#define INTERP_I_COMPUTE_FILE_NAME "../common/1d.cube.size4/interp-I.compute.c" +#define INTERP_DX_COMPUTE_FILE_NAME "../common/1d.cube.size4/interp-dx.compute.c" +#define INTERP_DXX_COMPUTE_FILE_NAME "../common/1d.cube.size4/interp-dxx.compute.c" + +#define COEFF_I_COMPUTE_FILE_NAME "1d.coeffs/1d.cube.order2/coeff-I.compute.c" +#define COEFF_DX_COMPUTE_FILE_NAME "1d.coeffs/1d.cube.order2/coeff-dx.compute.c" +#define COEFF_DXX_COMPUTE_FILE_NAME "1d.coeffs/1d.cube.order2/coeff-dxx.compute.c" + +/* actual code */ +#include "../template.c" diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/1d.cube.order3.c b/src/GeneralizedPolynomial-Uniform/Hermite/1d.cube.order3.c new file mode 100644 index 0000000..a08e91c --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/1d.cube.order3.c @@ -0,0 +1,49 @@ +/* $Header$ */ + +#include +#include +#include +#include +#include + +#include "util_ErrorCodes.h" +#include "cctk.h" +#include "../InterpLocalUniform.h" + +/* function prototype */ +#define FUNCTION_NAME LocalInterp_UHermite_1dcube_3 +#include "../template.h" + +#define N_DIMS 1 +#define MOLECULE_MIN_M -2 +#define MOLECULE_MAX_M 3 +#define MOLECULE_SIZE 6 + +/* which derivative ops do we support? */ +#define HAVE_OP_I +#define HAVE_OP_DX +#define HAVE_OP_DXX + +/* note pathnames are all relative to *this* directory */ + +#define DATA_VAR_DCL_FILE_NAME "../common/1d.cube.size6/data-var.dcl.c" +#define DATA_VAR_ASSIGN_FILE_NAME "../common/1d.cube.size6/data-var.assign.c" + +#define COEFF_I_VAR_STORE_FILE_NAME "../common/1d.cube.size6/coeff-I.store.c" +#define COEFF_DX_VAR_STORE_FILE_NAME "../common/1d.cube.size6/coeff-dx.store.c" +#define COEFF_DXX_VAR_STORE_FILE_NAME "../common/1d.cube.size6/coeff-dxx.store.c" + +#define COEFF_I_DCL_FILE_NAME "../common/1d.cube.size6/coeff-I.dcl.c" +#define COEFF_DX_DCL_FILE_NAME "../common/1d.cube.size6/coeff-dx.dcl.c" +#define COEFF_DXX_DCL_FILE_NAME "../common/1d.cube.size6/coeff-dxx.dcl.c" + +#define INTERP_I_COMPUTE_FILE_NAME "../common/1d.cube.size6/interp-I.compute.c" +#define INTERP_DX_COMPUTE_FILE_NAME "../common/1d.cube.size6/interp-dx.compute.c" +#define INTERP_DXX_COMPUTE_FILE_NAME "../common/1d.cube.size6/interp-dxx.compute.c" + +#define COEFF_I_COMPUTE_FILE_NAME "1d.coeffs/1d.cube.order3/coeff-I.compute.c" +#define COEFF_DX_COMPUTE_FILE_NAME "1d.coeffs/1d.cube.order3/coeff-dx.compute.c" +#define COEFF_DXX_COMPUTE_FILE_NAME "1d.coeffs/1d.cube.order3/coeff-dxx.compute.c" + +/* actual code */ +#include "../template.c" diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/1d.cube.order4.c b/src/GeneralizedPolynomial-Uniform/Hermite/1d.cube.order4.c new file mode 100644 index 0000000..a4e49c1 --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/1d.cube.order4.c @@ -0,0 +1,49 @@ +/* $Header$ */ + +#include +#include +#include +#include +#include + +#include "util_ErrorCodes.h" +#include "cctk.h" +#include "../InterpLocalUniform.h" + +/* function prototype */ +#define FUNCTION_NAME LocalInterp_UHermite_1dcube_4 +#include "../template.h" + +#define N_DIMS 1 +#define MOLECULE_MIN_M -2 +#define MOLECULE_MAX_M 3 +#define MOLECULE_SIZE 6 + +/* which derivative ops do we support? */ +#define HAVE_OP_I +#define HAVE_OP_DX +#define HAVE_OP_DXX + +/* note pathnames are all relative to *this* directory */ + +#define DATA_VAR_DCL_FILE_NAME "../common/1d.cube.size6/data-var.dcl.c" +#define DATA_VAR_ASSIGN_FILE_NAME "../common/1d.cube.size6/data-var.assign.c" + +#define COEFF_I_VAR_STORE_FILE_NAME "../common/1d.cube.size6/coeff-I.store.c" +#define COEFF_DX_VAR_STORE_FILE_NAME "../common/1d.cube.size6/coeff-dx.store.c" +#define COEFF_DXX_VAR_STORE_FILE_NAME "../common/1d.cube.size6/coeff-dxx.store.c" + +#define COEFF_I_DCL_FILE_NAME "../common/1d.cube.size6/coeff-I.dcl.c" +#define COEFF_DX_DCL_FILE_NAME "../common/1d.cube.size6/coeff-dx.dcl.c" +#define COEFF_DXX_DCL_FILE_NAME "../common/1d.cube.size6/coeff-dxx.dcl.c" + +#define INTERP_I_COMPUTE_FILE_NAME "../common/1d.cube.size6/interp-I.compute.c" +#define INTERP_DX_COMPUTE_FILE_NAME "../common/1d.cube.size6/interp-dx.compute.c" +#define INTERP_DXX_COMPUTE_FILE_NAME "../common/1d.cube.size6/interp-dxx.compute.c" + +#define COEFF_I_COMPUTE_FILE_NAME "1d.coeffs/1d.cube.order4/coeff-I.compute.c" +#define COEFF_DX_COMPUTE_FILE_NAME "1d.coeffs/1d.cube.order4/coeff-dx.compute.c" +#define COEFF_DXX_COMPUTE_FILE_NAME "1d.coeffs/1d.cube.order4/coeff-dxx.compute.c" + +/* actual code */ +#include "../template.c" diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/1d.log b/src/GeneralizedPolynomial-Uniform/Hermite/1d.log new file mode 100644 index 0000000..882988a --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/1d.log @@ -0,0 +1,2420 @@ + |\^/| Maple 7 (IBM INTEL LINUX) +._|\| |/|_. Copyright (c) 2001 by Waterloo Maple Inc. + \ MAPLE / All rights reserved. Maple is a registered trademark of + <____ ____> Waterloo Maple Inc. + | Type ? for help. +# util.maple -- misc utility routines +# $Header: /cactusdevcvs/CactusBase/LocalInterp/src/GeneralizedPolynomial-Uniform/util.maple,v 1.4 2002/08/20 16:46:06 jthorn Exp $ +> +# +# fix_rationals - convert numbers to RATIONAL() calls +# nonmatching_names - find names in a list which *don't* have a specified prefix +# sprint_numeric_list - convert a numeric list to a valid C identifier suffix +# print_name_list_dcl - print a C declaration for a list of names +# +# hypercube_points - compute all (integer) points in an N-dimensional hypercube +# +# ftruncate - truncate a file to zero length +# +> +################################################################################ +################################################################################ +################################################################################ +> +# +# This function converts all {integer, rational} subexpressions of its +# input except integer exponents and -1 factors in products, into function +# calls +# RATIONAL(num,den) +# This is useful in conjunction with the C() library function, since +# +# C( (1/3) * foo * bar ) +# t0 = foo*bar/3; +# +# generates a (slow) division (and runs the risk of mixed-mode-arithmetic +# problems), while +# +# C((1.0/3.0) * foo * bar); +# t0 = 0.3333333333*foo*bar; +# +# suffers from roundoff error. With this function, +# +# fix_rationals((1/3) * foo * bar); +# RATIONAL(1,3) foo bar +# C(%); +# t0 = RATIONAL(1.0,3.0)*foo*bar; +# +# which a C preprocessor macro can easily convert to the desired +# +# t0 = (1.0/3.0)*foo*bar; +# +# Additionally, this function can be told to leave certain types of +# subexpressions unconverged. For example, +# fix_rationals(expr, type, specfunc(integer, DATA)); +# will leave all subexpressions of the form DATA(integer arguments) +# unconverted. +# +# Arguments: +# expr = (in) The expression to be converted. +# inert_fn = (optional in) +# If specified, this argument should be a Boolean procedure +# or the name of a Boolean procedure. This procedure should +# take one or more argument, and return true if and only if +# the first argument should *not* be converted, i.e. if we +# should leave this expression unchanged. See the last +# example above. +# ... = (optional in) +# Any further arguments are passed as additional arguments to +# the inert_fn procedure. +# +> fix_rationals := +> proc( +> expr::{ +> algebraic, name = algebraic, +> list({algebraic, name = algebraic}), +> set ({algebraic, name = algebraic}) +> }, +> inert_fn::{name, procedure} +> ) +> local nn, k, +> base, power, fbase, fpower, +> fn, fn_args_list, +> num, den, mult; +> +# do we want to convert this expression? +> if ((nargs >= 2) and inert_fn(expr, args[3..nargs])) +> then return expr; +> end if; +> +# recurse over lists and sets +> if (type(expr, {list,set})) +> then return map(fix_rationals, expr, args[2..nargs]); +> end if; +> +# recurse over equation right hand sides +> if (type(expr, name = algebraic)) +> then return ( lhs(expr) = fix_rationals(rhs(expr), args[2..nargs]) ); +> end if; +> +# recurse over functions other than RATIONAL() +> if (type(expr, function)) +> then +> fn := op(0, expr); +> if (fn <> 'RATIONAL') +> then +> fn_args_list := [op(expr)]; +> fn_args_list := map(fix_rationals, fn_args_list, args[2..nargs]); +> fn; return '%'( op(fn_args_list) ); +> end if; +> end if; +> +> nn := nops(expr); +> +# recurse over sums +> if (type(expr, `+`)) +> then return sum('fix_rationals(op(k,expr), args[2..nargs])', 'k'=1..nn); +> end if; +> +# recurse over products +# ... leaving leading -1 factors intact, i.e. not converted to RATIONAL(-1,1) +> if (type(expr, `*`)) +> then +> if (op(1, expr) = -1) +> then return -1*fix_rationals(remove(type, expr, 'identical(-1)'), +> args[2..nargs]); +> else return product('fix_rationals(op(k,expr), args[2..nargs])', +> 'k'=1..nn); +> end if; +> end if; +> +# recurse over powers +# ... leaving integer exponents intact +> if (type(expr, `^`)) +> then +> base := op(1, expr); +> power := op(2, expr); +> +> fbase := fix_rationals(base, args[2..nargs]); +> if (type(power, integer)) +> then fpower := power; +> else fpower := fix_rationals(power, args[2..nargs]); +> end if; +> return fbase ^ fpower; +> end if; +> +# fix integers and fractions +> if (type(expr, integer)) +> then return 'RATIONAL'(expr, 1); +> end if; +> if (type(expr, fraction)) +> then +> num := op(1, expr); +> den := op(2, expr); +> +> return 'RATIONAL'(num, den); +> end if; +> +# turn Maple floating-point into integer fraction, then recursively fix that +> if (type(expr, float)) +> then +> mult := op(1, expr); +> power := op(2, expr); +> return fix_rationals(mult * 10^power, args[2..nargs]); +> end if; +> +# identity op on names +> if (type(expr, name)) +> then return expr; +> end if; +> +# unknown type +> error "%0", +> "unknown type for expr!", +> " whattype(expr) = ", whattype(expr), +> " expr = ", expr; +> end proc; +fix_rationals := proc(expr::{algebraic, name = algebraic, +list({algebraic, name = algebraic}), set({algebraic, name = algebraic})}, +inert_fn::{procedure, name}) +local nn, k, base, power, fbase, fpower, fn, fn_args_list, num, den, mult; + if 2 <= nargs and inert_fn(expr, args[3 .. nargs]) then return expr + end if; + if type(expr, {set, list}) then + return map(fix_rationals, expr, args[2 .. nargs]) + end if; + if type(expr, name = algebraic) then + return lhs(expr) = fix_rationals(rhs(expr), args[2 .. nargs]) + end if; + if type(expr, function) then + fn := op(0, expr); + if fn <> 'RATIONAL' then + fn_args_list := [op(expr)]; + fn_args_list := + map(fix_rationals, fn_args_list, args[2 .. nargs]); + fn; + return '%'(op(fn_args_list)) + end if + end if; + nn := nops(expr); + if type(expr, `+`) then return + sum('fix_rationals(op(k, expr), args[2 .. nargs])', 'k' = 1 .. nn) + end if; + if type(expr, `*`) then + if op(1, expr) = -1 then return -fix_rationals( + remove(type, expr, 'identical(-1)'), args[2 .. nargs]) + else return product('fix_rationals(op(k, expr), args[2 .. nargs])', + 'k' = 1 .. nn) + end if + end if; + if type(expr, `^`) then + base := op(1, expr); + power := op(2, expr); + fbase := fix_rationals(base, args[2 .. nargs]); + if type(power, integer) then fpower := power + else fpower := fix_rationals(power, args[2 .. nargs]) + end if; + return fbase^fpower + end if; + if type(expr, integer) then return 'RATIONAL'(expr, 1) end if; + if type(expr, fraction) then + num := op(1, expr); den := op(2, expr); return 'RATIONAL'(num, den) + end if; + if type(expr, float) then + mult := op(1, expr); + power := op(2, expr); + return fix_rationals(mult*10^power, args[2 .. nargs]) + end if; + if type(expr, name) then return expr end if; + error "%0", "unknown type for expr!", " whattype(expr) = ", + whattype(expr), " expr = ", expr +end proc + +> +################################################################################ +> +# +# This function finds names in a list which *don't* have a specified prefix. +# +# Arguments: +# name_list = A list of the names. +# prefix = The prefix we want to filter out. +# +# Results: +# This function returns the subset list of names which don't have the +# specified prefix. +# +> nonmatching_names := +> proc( name_list::list({name,string}), prefix::{name,string} ) +> +> select( proc(n) +> evalb(not StringTools[IsPrefix](prefix,n)); +> end proc +> , +> name_list +> ); +> end proc; +nonmatching_names := proc( +name_list::list({name, string}), prefix::{name, string}) + select(proc(n) evalb(not StringTools[IsPrefix](prefix, n)) end proc, + name_list) +end proc + +> +################################################################################ +> +# +# This function converts a numeric list to a string which is a valid +# C identifier suffix: elements are separated by "_", decimal points are +# replaced by "x", and all nonzero values have explicit +/- signs, which +# are replaced by "p"/"m". +# +# For example, [0,-3.5,+4] --> "0_m3x5_p4". +# +> sprint_numeric_list := +> proc(nlist::list(numeric)) +> +# generate preliminary string, eg "+0_-3.5_+4" +> map2(sprintf, "%+a", nlist); +> ListTools[Join](%, "_"); +> cat(op(%)); +> +# fixup bad characters +> StringTools[SubstituteAll](%, "+0", "0"); +> StringTools[CharacterMap](".+-", "xpm", %); +> +> return %; +> end proc; +sprint_numeric_list := proc(nlist::list(numeric)) + map2(sprintf, "%+a", nlist); + ListTools[Join](%, "_"); + cat(op(%)); + StringTools[SubstituteAll](%, "+0", "0"); + StringTools[CharacterMap](".+-", "xpm", %); + return % +end proc + +> +################################################################################ +> +# +# This function prints a C declaration for a list of names. +# +# Argument: +# name_list = A list of the names. +# name_type = The C type of the names, eg. "double". +# file_name = The file name to write the declaration to. This is +# truncated before writing. +# +> print_name_list_dcl := +> proc( name_list::list({name,string}), +> name_type::string, +> file_name::string ) +> local blanks, separator_string; +> +> ftruncate(file_name); +> +# a sequence of blanks with the same length as name_type +> seq(" ", i=1..length(name_type)); +> +# string to separate names +> separator_string := cat(",\n", %, " "); +> +> map(convert, name_list, string); +> ListTools[Join](%, separator_string); +> cat(op(%)); +> +> fprintf(file_name, +> "%s %s;\n", +> name_type, %); +> +> fclose(file_name); +> NULL; +> end proc; +print_name_list_dcl := proc( +name_list::list({name, string}), name_type::string, file_name::string) +local blanks, separator_string; + ftruncate(file_name); + seq(" ", i = 1 .. length(name_type)); + separator_string := cat(",\n", %, " "); + map(convert, name_list, string); + ListTools[Join](%, separator_string); + cat(op(%)); + fprintf(file_name, "%s %s;\n", name_type, %); + fclose(file_name); + NULL +end proc + +> +################################################################################ +################################################################################ +################################################################################ +> +# +# This function computes a list of all the (integer) points in an +# N-dimensional hypercube, in lexicographic order. The present +# implementation requires N <= 4. +# +# Arguments: +# cmin,cmax = N-element lists of cube minimum/maximum coordinates. +# +# Results: +# The function returns a set of d-element lists giving the coordinates. +# For example, +# hypercube([0,0], [2,1] +# returns +# { [0,0], [0,1], [1,0], [1,1], [2,0], [2,1] } +> hypercube_points := +> proc(cmin::list(integer), cmax::list(integer)) +> local N, i,j,k,l; +> +> N := nops(cmin); +> if (nops(cmax) <> N) +> then error +> "must have same number of dimensions for min and max coordinates!"; +> fi; +> +> if (N = 1) +> then return [seq([i], i=cmin[1]..cmax[1])]; +> elif (N = 2) +> then return [ +> seq( +> seq([i,j], j=cmin[2]..cmax[2]), +> i=cmin[1]..cmax[1]) +> ]; +> elif (N = 3) +> then return [ +> seq( +> seq( +> seq([i,j,k], k=cmin[3]..cmax[3]), +> j=cmin[2]..cmax[2] ), +> i=cmin[1]..cmax[1]) +> ]; +> elif (N = 4) +> then return [ +> seq( +> seq( +> seq( +> seq([i,j,k,l], l=cmin[4]..cmax[4]), +> k=cmin[3]..cmax[3] ), +> j=cmin[2]..cmax[2]), +> i=cmin[1]..cmax[1]) +> ]; +> else +> error "implementation restriction: must have N <= 4, got %1!", N; +> fi; +> end proc; +hypercube_points := proc(cmin::list(integer), cmax::list(integer)) +local N, i, j, k, l; + N := nops(cmin); + if nops(cmax) <> N then error + "must have same number of dimensions for min and max coordinates!" + end if; + if N = 1 then return [seq([i], i = cmin[1] .. cmax[1])] + elif N = 2 then return + [seq(seq([i, j], j = cmin[2] .. cmax[2]), i = cmin[1] .. cmax[1])] + elif N = 3 then return [seq( + seq(seq([i, j, k], k = cmin[3] .. cmax[3]), j = cmin[2] .. cmax[2]) + , i = cmin[1] .. cmax[1])] + elif N = 4 then return [seq(seq(seq( + seq([i, j, k, l], l = cmin[4] .. cmax[4]), k = cmin[3] .. cmax[3]), + j = cmin[2] .. cmax[2]), i = cmin[1] .. cmax[1])] + else error "implementation restriction: must have N <= 4, got %1!", N + end if +end proc + +> +################################################################################ +################################################################################ +################################################################################ +> +# +# This function truncates a file to 0 length if it exists, or creates +# it at that length if it doesn't exist. +# +# Arguments: +# file_name = (in) The name of the file. +# +> ftruncate := +> proc(file_name::string) +> fopen(file_name, 'WRITE'); +> fclose(%); +> NULL; +> end proc; +ftruncate := + + proc(file_name::string) fopen(file_name, 'WRITE'); fclose(%); NULL end proc + +# interpolate.maple -- compute interpolation formulas/coefficients +# $Header: /cactusdevcvs/CactusBase/LocalInterp/src/GeneralizedPolynomial-Uniform/interpolate.maple,v 1.10 2002/08/28 11:31:09 jthorn Exp $ +> +# +# <<>> +# Lagrange_polynomial_interpolant - compute Lagrange polynomial interpolant +# Hermite_polynomial_interpolant - compute Hermite polynomial interpolant +# coeff_as_lc_of_data - coefficients of ... (linear combination of data) +# +# print_coeff__lc_of_data - print C code to compute coefficients +# print_data_var_assign - print C code to assign data-value variables +# print_interp_coeff_var_store - print C code to store coeff vars "somewhere" +# print_interp_cmpt__lc_of_data - print C code for computation of interpolant +# +# coeff_name - name of coefficient of data at a given [m] coordinate +# data_var_name - name of variable storing data value at a given [m] coordinate +# +> +################################################################################ +> +# +# ***** representation of numbers, data values, etc ***** +# +# We use RATIONAL(p.0,q.0) to denote the rational number p/q. +# +# We use DATA(...) to represent the data values being interpolated at a +# specified [m] coordinate, where the arguments are the [m] coordinates. +# +# We use COEFF(...) to represent the molecule coefficient at a specified +# [m] coordinate, where the arguments are the [m] coordinates. +# +# For example, the usual 1-D centered 2nd order 1st derivative molecule +# would be written +# RATIONAL(-1.0,2.0)*DATA(-1) + RATIONA(1.0,2.0)*DATA(1) +# and its coefficients as +# COEFF(-1) = RATIONAL(-1.0,2.0) +# COEFF(1) = RATIONAL(1.0,2.0) +# +> +################################################################################ +################################################################################ +################################################################################ +> +# +# This function computes a Lagrange polynomial interpolant in any +# number of dimensions. +# +# Arguments: +# fn = The interpolation function. This should be a procedure in the +# coordinates, having the coefficients as global variables. For +# example, +# proc(x,y) c00 + c10*x + c01*y end proc +# coeff_list = A set of the interpolation coefficients (coefficients in +# the interpolation function), for example [c00, c10, c01]. +# coord_list = A list of the coordinates (independent variables in the +# interpolation function), for example [x,y]. +# posn_list = A list of positions (each a list of numeric values) where the +# interpolant is to use data, for example hypercube([0,0], [1,1]). +# Any positions may be used; if they're redundant (as in the +# example) the least-squares interpolant is computed. +# +# Results: +# This function returns the interpolating polynomial, in the form of +# an algebraic expression in the coordinates and the data values. +# +> Lagrange_polynomial_interpolant := +> proc( +> fn::procedure, coeff_list::list(name), +> coord_list::list(name), posn_list::list(list(numeric)) +> ) +> local posn, data_eqns, coeff_eqns; +> +# coefficients of interpolating polynomial +> data_eqns := { seq( fn(op(posn))='DATA'(op(posn)) , posn=posn_list ) }; +> coeff_eqns := linalg[leastsqrs](data_eqns, {op(coeff_list)}); +> if (has(coeff_eqns, '_t')) +> then error "interpolation coefficients aren't uniquely determined!"; +> end if; +> +# interpolant as a polynomial in the coordinates +> return subs(coeff_eqns, eval(fn))(op(coord_list)); +> end proc; +Lagrange_polynomial_interpolant := proc(fn::procedure, coeff_list::list(name), +coord_list::list(name), posn_list::list(list(numeric))) +local posn, data_eqns, coeff_eqns; + data_eqns := {seq(fn(op(posn)) = 'DATA'(op(posn)), posn = posn_list)}; + coeff_eqns := linalg[leastsqrs](data_eqns, {op(coeff_list)}); + if has(coeff_eqns, '_t') then + error "interpolation coefficients aren't uniquely determined!" + end if; + return subs(coeff_eqns, eval(fn))(op(coord_list)) +end proc + +> +################################################################################ +> +# +# This function computes a Hermite polynomial interpolant in any +# number of dimensions. This is a polynomial which +# * has values which match the given data DATA() at a specified set of +# points, and +# * has derivatives which match the specified finite-difference derivatives +# of the given data DATA() at a specified set of points +# +# For the derivative matching, we actually match all possible products +# of 1st derivatives, i.e. in 2-D we match dx, dy, and dxy, in 3-D we +# match dx, dy, dz, dxy, dxz, dyz, and dxyz, etc etc. +# +# Arguments: +# fn = The interpolation function. This should be a procedure in the +# coordinates, having the coefficients as global variables. For +# example, +# proc(x,y) +# + c03*y^3 + c13*x*y^3 + c23*x^2*y^3 + c33*x^3*y^3 +# + c02*y^2 + c12*x*y^2 + c22*x^2*y^2 + c32*x^3*y^2 +# + c01*y + c11*x*y + c21*x^2*y + c31*x^3*y +# + c00 + c10*x + c20*x^2 + c30*x^3 +# end proc; +# coeff_set = A set of the interpolation coefficients (coefficients in +# the interpolation function), for example +# { +# c03, c13, c23, c33, +# c02, c12, c22, c32, +# c01, c11, c21, c31, +# c00, c10, c20, c30 +# } +# coord_list = A list of the coordinates (independent variables in the +# interpolation function), for example [x,y]. +# deriv_set = A set of equations of the form +# {coords} = proc +# giving the derivatives which are to be matched, and the +# procedures to compute their finite-difference approximations. +# Each procedure should take N_dims integer arguments specifying +# an evaluation point, and return a suitable linear combination +# of the DATA() for the derivative at that point. For example +# { +# {x} = proc(i::integer, j::integer) +# - 1/2*DATA(i-1,j) + 1/2*DATA(i+1,j) +# end proc +# , +# {y} = proc(i::integer, j::integer) +# - 1/2*DATA(i,j-1) + 1/2*DATA(i,j+1) +# end proc +# , +# {x,y} = proc(i::integer, j::integer) +# - 1/4*DATA(i-1,j+1) + 1/4*DATA(i+1,j+1) +# + 1/4*DATA(i-1,j-1) - 1/4*DATA(i+1,j-1) +# end proc +# } +# fn_posn_set = A set of positions (each a list of numeric values) +# where the interpolant is to match the given data DATA(), +# for example +# {[0,0], [0,1], [1,0], [1,1]} +# deriv_posn_set = A list of positions (each a list of numeric values) +# where the interpolant is to match the derivatives +# specified by deriv_set , for example +# {[0,0], [0,1], [1,0], [1,1]} +# +# Results: +# This function returns the interpolating polynomial, in the form of +# an algebraic expression in the coordinates and the data values. +# +> Hermite_polynomial_interpolant := +> proc( +> fn::procedure, +> coeff_set::set(name), +> coord_list::list(name), +> deriv_set::set(set(name) = procedure), +> fn_posn_set::set(list(numeric)), +> deriv_posn_set::set(list(numeric)) +> ) +> local fn_eqnset, deriv_eqnset, coeff_eqns, subs_eqnset; +> +> +# +# compute a set of equations +# {fn(posn) = DATA(posn)} +# giving the function values to be matched +# +> fn_eqnset := map( +> # return equation that fn(posn) = DATA(posn) +> proc(posn::list(integer)) +> fn(op(posn)) = 'DATA'(op(posn)); +> end proc +> , +> fn_posn_set +> ); +> +> +# +# compute a set of equations +# { diff(fn,coords)(posn) = DERIV(coords)(posn) } +# giving the derivative values to be matched, where DERIV(coords) +# is a placeholder for the appropriate derivative +# +> map( +> # return set of equations for this particular derivative +> proc(deriv_coords::set(name)) +> local deriv_fn; +> fn(op(coord_list)); +> diff(%, op(deriv_coords)); +> deriv_fn := unapply(%, op(coord_list)); +> map( +> proc(posn::list(integer)) +> deriv_fn(op(posn)) = 'DERIV'(op(deriv_coords))(op(posn)); +> end proc +> , +> deriv_posn_set +> ); +> end proc +> , +> map(lhs, deriv_set) +> ); +> deriv_eqnset := `union`(op(%)); +> +> +# +# solve overall set of equations for coefficients +# in terms of DATA() and DERIV() values +# +> coeff_eqns := solve[linear](fn_eqnset union deriv_eqnset, coeff_set); +> if (indets(map(rhs,%)) <> {}) +> then error "no unique solution for coefficients -- %1 eqns for %2 coeffs", +> nops(fn_eqnset union deriv_eqnset), +> nops(coeff_set); +> fi; +> +> +# +# compute a set of substitution equations +# {'DERIV'(coords) = procedure} +# +> subs_eqnset := map( +> proc(eqn::set(name) = procedure) +> 'DERIV'(op(lhs(eqn))) = rhs(eqn); +> end proc +> , +> deriv_set +> ); +> +> +# +# compute the coefficients in terms of the DATA() values +# +> subs(subs_eqnset, coeff_eqns); +> eval(%); +> +# +# compute the interpolant as a polynomial in the coordinates +# +> subs(%, fn(op(coord_list))); +> end proc; +Hermite_polynomial_interpolant := proc(fn::procedure, coeff_set::set(name), +coord_list::list(name), deriv_set::set(set(name) = procedure), +fn_posn_set::set(list(numeric)), deriv_posn_set::set(list(numeric))) +local fn_eqnset, deriv_eqnset, coeff_eqns, subs_eqnset; + fn_eqnset := map( + proc(posn::list(integer)) fn(op(posn)) = 'DATA'(op(posn)) end proc, + fn_posn_set); + map(proc(deriv_coords::set(name)) + local deriv_fn; + fn(op(coord_list)); + diff(%, op(deriv_coords)); + deriv_fn := unapply(%, op(coord_list)); + map(proc(posn::list(integer)) + deriv_fn(op(posn)) = + 'DERIV'(op(deriv_coords))(op(posn)) + end proc, deriv_posn_set) + end proc, map(lhs, deriv_set)); + deriv_eqnset := `union`(op(%)); + coeff_eqns := solve[linear](fn_eqnset union deriv_eqnset, coeff_set); + if indets(map(rhs, %)) <> {} then error + "no unique solution for coefficients -- %1 eqns for %2 coeffs", + nops(fn_eqnset union deriv_eqnset), nops(coeff_set) + end if; + subs_eqnset := map(proc(eqn::(set(name) = procedure)) + 'DERIV'(op(lhs(eqn))) = rhs(eqn) + end proc, deriv_set); + subs(subs_eqnset, coeff_eqns); + eval(%); + subs(%, fn(op(coord_list))) +end proc + +> +################################################################################ +> +# +# This function takes as input an interpolating polynomial, expresses +# it as a linear combination of the data values, and returns the coefficeints +# of that form. +# +# Arguments: +# interpolant = The interpolating polynomial (an algebraic expression +# in the coordinates and the data values). +# posn_list = The same list of data positions used in the interpolant. +# +# Results: +# This function returns the coefficients, as a list of equations of the +# form COEFF(...) = value , where each value is a polynomial in the +# coordinates. The order of the list matches that of posn_list. +# +> coeff_as_lc_of_data := +> proc( +> interpolant::algebraic, +> posn_list::list(list(numeric)) +> ) +> local data_list, interpolant_as_lc_of_data; +> +# interpolant as a linear combination of the data values +> data_list := [ seq( 'DATA'(op(posn)) , posn=posn_list ) ]; +> interpolant_as_lc_of_data := collect(interpolant, data_list); +> +# coefficients of the data values in the linear combination +> return map( +> proc(posn::list(numeric)) +> coeff(interpolant_as_lc_of_data, DATA(op(posn))); +> 'COEFF'(op(posn)) = %; +> end proc +> , +> posn_list +> ); +> end proc; +coeff_as_lc_of_data := proc( +interpolant::algebraic, posn_list::list(list(numeric))) +local data_list, interpolant_as_lc_of_data; + data_list := [seq('DATA'(op(posn)), posn = posn_list)]; + interpolant_as_lc_of_data := collect(interpolant, data_list); + return map(proc(posn::list(numeric)) + coeff(interpolant_as_lc_of_data, DATA(op(posn))); + 'COEFF'(op(posn)) = % + end proc, posn_list) +end proc + +> +################################################################################ +################################################################################ +################################################################################ +> +# +# This function prints C expressions for the coefficients of an +# interpolating polynomial. (The polynomial is expressed as linear +# combinations of the data values with coefficients which are +# RATIONAL(p,q) calls.) +# +# Arguments: +# coeff_list = A list of the coefficients, as returned from +# coeff_as_lc_of_data() . +# coeff_name_prefix = A prefix string for the coefficient names. +# temp_name_type = The C type to be used for Maple-introduced temporary +# names, eg. "double". +# file_name = The file name to write the coefficients to. This is +# truncated before writing. +# +> print_coeff__lc_of_data := +> proc( coeff_list::list(specfunc(numeric,COEFF) = algebraic), +> coeff_name_prefix::string, +> temp_name_type::string, +> file_name::string ) +> global `codegen/C/function/informed`; +> local coeff_list2, cmpt_list, temp_name_list; +> +# convert LHS of each equation from a COEFF() call (eg COEFF(-1,+1)) +# to a Maple/C variable name (eg coeff_I_m1_p1) +> coeff_list2 := map( +> proc(coeff_eqn::specfunc(numeric,COEFF) = algebraic) +> local posn; +> posn := [op(lhs(coeff_eqn))]; +> coeff_name(posn,coeff_name_prefix); +> convert(%, name); # codegen[C] wants LHS +> # to be an actual Maple *name* +> % = fix_rationals(rhs(coeff_eqn)); +> end proc +> , +> coeff_list +> ); +> +# +# generate the C code +# +> +# tell codegen[C] not to warn about unknown RATIONAL() and DATA() "fn calls" +# via undocumented :( global table +> `codegen/C/function/informed`['RATIONAL'] := true; +> `codegen/C/function/informed`['DATA'] := true; +> +> ftruncate(file_name); +> +# optimized computation sequence for all the coefficients +# (may use local variables t0,t1,t2,...) +> cmpt_list := [codegen[optimize](coeff_list2, tryhard)]; +> +# list of the t0,t1,t2,... local variables +> temp_name_list := nonmatching_names(map(lhs,cmpt_list), coeff_name_prefix); +> +# declare the t0,t1,t2,... local variables (if there are any) +> if (nops(temp_name_list) > 0) +> then print_name_list_dcl(%, temp_name_type, file_name); +> fi; +> +# now print the optimized computation sequence +> codegen[C](cmpt_list, filename=file_name); +> +> fclose(file_name); +> +> NULL; +> end proc; +print_coeff__lc_of_data := proc( +coeff_list::list(specfunc(numeric, COEFF) = algebraic), +coeff_name_prefix::string, temp_name_type::string, file_name::string) +local coeff_list2, cmpt_list, temp_name_list; +global `codegen/C/function/informed`; + coeff_list2 := map(proc( + coeff_eqn::(specfunc(numeric, COEFF) = algebraic)) + local posn; + posn := [op(lhs(coeff_eqn))]; + coeff_name(posn, coeff_name_prefix); + convert(%, name); + % = fix_rationals(rhs(coeff_eqn)) + end proc, coeff_list); + `codegen/C/function/informed`['RATIONAL'] := true; + `codegen/C/function/informed`['DATA'] := true; + ftruncate(file_name); + cmpt_list := [codegen[optimize](coeff_list2, tryhard)]; + temp_name_list := + nonmatching_names(map(lhs, cmpt_list), coeff_name_prefix); + if 0 < nops(temp_name_list) then + print_name_list_dcl(%, temp_name_type, file_name) + end if; + codegen[C](cmpt_list, filename = file_name); + fclose(file_name); + NULL +end proc + +> +################################################################################ +> +# +# This function prints a sequence of C expression to assign the data-value +# variables, eg +# data_m1_p1 = DATA(-1,1); +# +# Arguments: +# posn_list = The same list of positions as was used to compute the +# interpolating polynomial. +# data_var_name_prefix = A prefix string for the data variable names. +# file_name = The file name to write the coefficients to. This is +# truncated before writing. +# +> print_data_var_assign := +> proc( +> posn_list::list(list(numeric)), +> data_var_name_prefix::string, +> file_name::string +> ) +> +> ftruncate(file_name); +> map( +> proc(posn::list(numeric)) +> fprintf(file_name, +> "%s = %a;\n", +> data_var_name(posn,data_var_name_prefix), +> DATA(op(posn))); +> end proc +> , +> posn_list +> ); +> fclose(file_name); +> +> NULL; +> end proc; +print_data_var_assign := proc(posn_list::list(list(numeric)), +data_var_name_prefix::string, file_name::string) + ftruncate(file_name); + map(proc(posn::list(numeric)) + fprintf(file_name, "%s = %a;\n", + data_var_name(posn, data_var_name_prefix), DATA(op(posn))) + end proc, posn_list); + fclose(file_name); + NULL +end proc + +> +################################################################################ +> +# +# This function prints a sequence of C expression to store the interpolation +# coefficients in COEFF(...) expressions, eg +# COEFF(1,-1) = factor * coeff_dx_p1_m1; +# +# Arguments: +# posn_list = The same list of positions as was used to compute the +# interpolating polynomial. +# RHS_factor_name = If this string is non-empty, then the coefficient is +# multiplied by this factor before being stored, eg +# setting this to "factor" would give the example above. +# If this string is empty (""), the multiplication is +# omitted, eg +# COEFF(1,-1) = coeff_dx_p1_m1; +# coeff_name_prefix = A prefix string for the coefficient names. +# file_name = The file name to write the coefficients to. This is +# truncated before writing. +# +> print_interp_coeff_var_store := +> proc( +> posn_list::list(list(numeric)), +> RHS_factor_name::string, +> coeff_name_prefix::string, +> file_name::string +> ) +> +> ftruncate(file_name); +> map( +> proc(posn::list(numeric)) +> if (length(RHS_factor_name) > 0) +> then fprintf(file_name, +> "%a = %s * %s;\n", +> 'COEFF'(op(posn)), +> RHS_factor_name, +> coeff_name(posn,coeff_name_prefix)); +> else fprintf(file_name, +> "%a = %s;\n", +> 'COEFF'(op(posn)), +> coeff_name(posn,coeff_name_prefix)); +> end if; +> end proc +> , +> posn_list +> ); +> fclose(file_name); +> +> NULL; +> end proc; +print_interp_coeff_var_store := proc(posn_list::list(list(numeric)), +RHS_factor_name::string, coeff_name_prefix::string, file_name::string) + ftruncate(file_name); + map(proc(posn::list(numeric)) + if 0 < length(RHS_factor_name) then fprintf(file_name, + "%a = %s * %s;\n", 'COEFF'(op(posn)), RHS_factor_name, + coeff_name(posn, coeff_name_prefix)) + else fprintf(file_name, "%a = %s;\n", 'COEFF'(op(posn)), + coeff_name(posn, coeff_name_prefix)) + end if + end proc, posn_list); + fclose(file_name); + NULL +end proc + +> +################################################################################ +> +# +# This function prints a C expression to compute the interpolant, +# using the coefficients computed by print_coeff__lc_of_data() +# (i.e. expressing the interpolant as a linear combination of the +# data values). +# +# Arguments: +# posn_list = The same list of positions as was used to compute the +# interpolating polynomial. +# result_var_name = The (string) name of the variable to which the +# result is to be assigned. +# coeff_name_prefix = A prefix string for the coefficient names. +# data_var_name_prefix = A prefix string for the data variable names. +# file_name = The file name to write the coefficients to. This is +# truncated before writing. +# +> print_interp_cmpt__lc_of_data := +> proc( +> posn_list::list(list(numeric)), +> result_var_name::string, +> coeff_name_prefix::string, +> data_var_name_prefix::string, +> file_name::string +> ) +> +> ftruncate(file_name); +> +> fprintf(file_name, "%s =\n", result_var_name); +> +# list of "coeff*data_var" terms +> map( +> proc(posn::list(numeric)) +> sprintf("%s*%s", +> coeff_name(posn,coeff_name_prefix), +> data_var_name(posn,data_var_name_prefix)); +> end proc +> , +> posn_list +> ); +> +> ListTools[Join](%, "\n\t+ "); +> cat(op(%)); +> fprintf(file_name, "\t%s;\n", %); +> +> fclose(file_name); +> +> NULL; +> end proc; +print_interp_cmpt__lc_of_data := proc(posn_list::list(list(numeric)), +result_var_name::string, coeff_name_prefix::string, +data_var_name_prefix::string, file_name::string) + ftruncate(file_name); + fprintf(file_name, "%s =\n", result_var_name); + map(proc(posn::list(numeric)) + sprintf("%s*%s", coeff_name(posn, coeff_name_prefix), + data_var_name(posn, data_var_name_prefix)) + end proc, posn_list); + ListTools[Join](%, "\n\t+ "); + cat(op(%)); + fprintf(file_name, "\t%s;\n", %); + fclose(file_name); + NULL +end proc + +> +################################################################################ +################################################################################ +################################################################################ +> +# +# This function computes the name of the coefficient of the data at a +# given [m] position, i.e. it encapsulates our naming convention for this. +# +# Arguments: +# posn = (in) The [m] coordinates. +# name_prefix = A prefix string for the coefficient name. +# +# Results: +# The function returns the coefficient, as a Maple string. +# +> coeff_name := +> proc(posn::list(numeric), name_prefix::string) +> cat(name_prefix, sprint_numeric_list(posn)); +> end proc; +coeff_name := proc(posn::list(numeric), name_prefix::string) + cat(name_prefix, sprint_numeric_list(posn)) +end proc + +> +################################################################################ +> +# +# This function computes the name of the variable in which the C code +# will store the input data at a given [m] position, i.e. it encapsulates +# our naming convention for this. +# +# Arguments: +# posn = (in) The [m] coordinates. +# name_prefix = A prefix string for the variable name. +# +# Results: +# The function returns the variable name, as a Maple string. +# +> data_var_name := +> proc(posn::list(numeric), name_prefix::string) +> cat(name_prefix, sprint_numeric_list(posn)); +> end proc; +data_var_name := proc(posn::list(numeric), name_prefix::string) + cat(name_prefix, sprint_numeric_list(posn)) +end proc + +# Maple code to compute lists of point positions in hypercube-shaped molecules +# $Header: /cactusdevcvs/CactusBase/LocalInterp/src/GeneralizedPolynomial-Uniform/common/cube_posns.maple,v 1.3 2002/08/20 16:56:41 jthorn Exp $ +> +################################################################################ +> +# +# 1D interpolation points +# +> posn_list_1d_size2 := hypercube_points([ 0], [+1]); + posn_list_1d_size2 := [[0], [1]] + +> posn_list_1d_size3 := hypercube_points([-1], [+1]); + posn_list_1d_size3 := [[-1], [0], [1]] + +> posn_list_1d_size4 := hypercube_points([-1], [+2]); + posn_list_1d_size4 := [[-1], [0], [1], [2]] + +> posn_list_1d_size5 := hypercube_points([-2], [+2]); + posn_list_1d_size5 := [[-2], [-1], [0], [1], [2]] + +> posn_list_1d_size6 := hypercube_points([-2], [+3]); + posn_list_1d_size6 := [[-2], [-1], [0], [1], [2], [3]] + +> posn_list_1d_size7 := hypercube_points([-3], [+3]); + posn_list_1d_size7 := [[-3], [-2], [-1], [0], [1], [2], [3]] + +> +################################################################################ +> +# +# 2D interpolation points (Fortran ordering) +# +> posn_list_2d_size2 := map(ListTools[Reverse], +> hypercube_points([ 0, 0], [+1,+1])); + posn_list_2d_size2 := [[0, 0], [1, 0], [0, 1], [1, 1]] + +> posn_list_2d_size3 := map(ListTools[Reverse], +> hypercube_points([-1,-1], [+1,+1])); +posn_list_2d_size3 := [[-1, -1], [0, -1], [1, -1], [-1, 0], [0, 0], [1, 0], + + [-1, 1], [0, 1], [1, 1]] + +> posn_list_2d_size4 := map(ListTools[Reverse], +> hypercube_points([-1,-1], [+2,+2])); +posn_list_2d_size4 := [[-1, -1], [0, -1], [1, -1], [2, -1], [-1, 0], [0, 0], + + [1, 0], [2, 0], [-1, 1], [0, 1], [1, 1], [2, 1], [-1, 2], [0, 2], [1, 2], + + [2, 2]] + +> posn_list_2d_size5 := map(ListTools[Reverse], +> hypercube_points([-2,-2], [+2,+2])); +posn_list_2d_size5 := [[-2, -2], [-1, -2], [0, -2], [1, -2], [2, -2], [-2, -1], + + [-1, -1], [0, -1], [1, -1], [2, -1], [-2, 0], [-1, 0], [0, 0], [1, 0], + + [2, 0], [-2, 1], [-1, 1], [0, 1], [1, 1], [2, 1], [-2, 2], [-1, 2], [0, 2], + + [1, 2], [2, 2]] + +> posn_list_2d_size6 := map(ListTools[Reverse], +> hypercube_points([-2,-2], [+3,+3])); +posn_list_2d_size6 := [[-2, -2], [-1, -2], [0, -2], [1, -2], [2, -2], [3, -2], + + [-2, -1], [-1, -1], [0, -1], [1, -1], [2, -1], [3, -1], [-2, 0], [-1, 0], + + [0, 0], [1, 0], [2, 0], [3, 0], [-2, 1], [-1, 1], [0, 1], [1, 1], [2, 1], + + [3, 1], [-2, 2], [-1, 2], [0, 2], [1, 2], [2, 2], [3, 2], [-2, 3], [-1, 3], + + [0, 3], [1, 3], [2, 3], [3, 3]] + +> +################################################################################ +> +# +# 3D interpolation points (Fortran ordering) +# +> posn_list_3d_size2 := map(ListTools[Reverse], +> hypercube_points([ 0, 0, 0], [+1,+1,+1])); +posn_list_3d_size2 := [[0, 0, 0], [1, 0, 0], [0, 1, 0], [1, 1, 0], [0, 0, 1], + + [1, 0, 1], [0, 1, 1], [1, 1, 1]] + +> posn_list_3d_size3 := map(ListTools[Reverse], +> hypercube_points([-1,-1,-1], [+1,+1,+1])); +posn_list_3d_size3 := [[-1, -1, -1], [0, -1, -1], [1, -1, -1], [-1, 0, -1], + + [0, 0, -1], [1, 0, -1], [-1, 1, -1], [0, 1, -1], [1, 1, -1], [-1, -1, 0], + + [0, -1, 0], [1, -1, 0], [-1, 0, 0], [0, 0, 0], [1, 0, 0], [-1, 1, 0], + + [0, 1, 0], [1, 1, 0], [-1, -1, 1], [0, -1, 1], [1, -1, 1], [-1, 0, 1], + + [0, 0, 1], [1, 0, 1], [-1, 1, 1], [0, 1, 1], [1, 1, 1]] + +> posn_list_3d_size4 := map(ListTools[Reverse], +> hypercube_points([-1,-1,-1], [+2,+2,+2])); +posn_list_3d_size4 := [[-1, -1, -1], [0, -1, -1], [1, -1, -1], [2, -1, -1], + + [-1, 0, -1], [0, 0, -1], [1, 0, -1], [2, 0, -1], [-1, 1, -1], [0, 1, -1], + + [1, 1, -1], [2, 1, -1], [-1, 2, -1], [0, 2, -1], [1, 2, -1], [2, 2, -1], + + [-1, -1, 0], [0, -1, 0], [1, -1, 0], [2, -1, 0], [-1, 0, 0], [0, 0, 0], + + [1, 0, 0], [2, 0, 0], [-1, 1, 0], [0, 1, 0], [1, 1, 0], [2, 1, 0], + + [-1, 2, 0], [0, 2, 0], [1, 2, 0], [2, 2, 0], [-1, -1, 1], [0, -1, 1], + + [1, -1, 1], [2, -1, 1], [-1, 0, 1], [0, 0, 1], [1, 0, 1], [2, 0, 1], + + [-1, 1, 1], [0, 1, 1], [1, 1, 1], [2, 1, 1], [-1, 2, 1], [0, 2, 1], + + [1, 2, 1], [2, 2, 1], [-1, -1, 2], [0, -1, 2], [1, -1, 2], [2, -1, 2], + + [-1, 0, 2], [0, 0, 2], [1, 0, 2], [2, 0, 2], [-1, 1, 2], [0, 1, 2], + + [1, 1, 2], [2, 1, 2], [-1, 2, 2], [0, 2, 2], [1, 2, 2], [2, 2, 2]] + +> posn_list_3d_size5 := map(ListTools[Reverse], +> hypercube_points([-2,-2,-2], [+2,+2,+2])); +posn_list_3d_size5 := [[-2, -2, -2], [-1, -2, -2], [0, -2, -2], [1, -2, -2], + + [2, -2, -2], [-2, -1, -2], [-1, -1, -2], [0, -1, -2], [1, -1, -2], + + [2, -1, -2], [-2, 0, -2], [-1, 0, -2], [0, 0, -2], [1, 0, -2], [2, 0, -2], + + [-2, 1, -2], [-1, 1, -2], [0, 1, -2], [1, 1, -2], [2, 1, -2], [-2, 2, -2], + + [-1, 2, -2], [0, 2, -2], [1, 2, -2], [2, 2, -2], [-2, -2, -1], [-1, -2, -1], + + [0, -2, -1], [1, -2, -1], [2, -2, -1], [-2, -1, -1], [-1, -1, -1], + + [0, -1, -1], [1, -1, -1], [2, -1, -1], [-2, 0, -1], [-1, 0, -1], [0, 0, -1], + + [1, 0, -1], [2, 0, -1], [-2, 1, -1], [-1, 1, -1], [0, 1, -1], [1, 1, -1], + + [2, 1, -1], [-2, 2, -1], [-1, 2, -1], [0, 2, -1], [1, 2, -1], [2, 2, -1], + + [-2, -2, 0], [-1, -2, 0], [0, -2, 0], [1, -2, 0], [2, -2, 0], [-2, -1, 0], + + [-1, -1, 0], [0, -1, 0], [1, -1, 0], [2, -1, 0], [-2, 0, 0], [-1, 0, 0], + + [0, 0, 0], [1, 0, 0], [2, 0, 0], [-2, 1, 0], [-1, 1, 0], [0, 1, 0], + + [1, 1, 0], [2, 1, 0], [-2, 2, 0], [-1, 2, 0], [0, 2, 0], [1, 2, 0], + + [2, 2, 0], [-2, -2, 1], [-1, -2, 1], [0, -2, 1], [1, -2, 1], [2, -2, 1], + + [-2, -1, 1], [-1, -1, 1], [0, -1, 1], [1, -1, 1], [2, -1, 1], [-2, 0, 1], + + [-1, 0, 1], [0, 0, 1], [1, 0, 1], [2, 0, 1], [-2, 1, 1], [-1, 1, 1], + + [0, 1, 1], [1, 1, 1], [2, 1, 1], [-2, 2, 1], [-1, 2, 1], [0, 2, 1], + + [1, 2, 1], [2, 2, 1], [-2, -2, 2], [-1, -2, 2], [0, -2, 2], [1, -2, 2], + + [2, -2, 2], [-2, -1, 2], [-1, -1, 2], [0, -1, 2], [1, -1, 2], [2, -1, 2], + + [-2, 0, 2], [-1, 0, 2], [0, 0, 2], [1, 0, 2], [2, 0, 2], [-2, 1, 2], + + [-1, 1, 2], [0, 1, 2], [1, 1, 2], [2, 1, 2], [-2, 2, 2], [-1, 2, 2], + + [0, 2, 2], [1, 2, 2], [2, 2, 2]] + +> posn_list_3d_size6 := map(ListTools[Reverse], +> hypercube_points([-2,-2,-2], [+3,+3,+3])); +posn_list_3d_size6 := [[-2, -2, -2], [-1, -2, -2], [0, -2, -2], [1, -2, -2], + + [2, -2, -2], [3, -2, -2], [-2, -1, -2], [-1, -1, -2], [0, -1, -2], + + [1, -1, -2], [2, -1, -2], [3, -1, -2], [-2, 0, -2], [-1, 0, -2], [0, 0, -2], + + [1, 0, -2], [2, 0, -2], [3, 0, -2], [-2, 1, -2], [-1, 1, -2], [0, 1, -2], + + [1, 1, -2], [2, 1, -2], [3, 1, -2], [-2, 2, -2], [-1, 2, -2], [0, 2, -2], + + [1, 2, -2], [2, 2, -2], [3, 2, -2], [-2, 3, -2], [-1, 3, -2], [0, 3, -2], + + [1, 3, -2], [2, 3, -2], [3, 3, -2], [-2, -2, -1], [-1, -2, -1], [0, -2, -1], + + [1, -2, -1], [2, -2, -1], [3, -2, -1], [-2, -1, -1], [-1, -1, -1], + + [0, -1, -1], [1, -1, -1], [2, -1, -1], [3, -1, -1], [-2, 0, -1], + + [-1, 0, -1], [0, 0, -1], [1, 0, -1], [2, 0, -1], [3, 0, -1], [-2, 1, -1], + + [-1, 1, -1], [0, 1, -1], [1, 1, -1], [2, 1, -1], [3, 1, -1], [-2, 2, -1], + + [-1, 2, -1], [0, 2, -1], [1, 2, -1], [2, 2, -1], [3, 2, -1], [-2, 3, -1], + + [-1, 3, -1], [0, 3, -1], [1, 3, -1], [2, 3, -1], [3, 3, -1], [-2, -2, 0], + + [-1, -2, 0], [0, -2, 0], [1, -2, 0], [2, -2, 0], [3, -2, 0], [-2, -1, 0], + + [-1, -1, 0], [0, -1, 0], [1, -1, 0], [2, -1, 0], [3, -1, 0], [-2, 0, 0], + + [-1, 0, 0], [0, 0, 0], [1, 0, 0], [2, 0, 0], [3, 0, 0], [-2, 1, 0], + + [-1, 1, 0], [0, 1, 0], [1, 1, 0], [2, 1, 0], [3, 1, 0], [-2, 2, 0], + + [-1, 2, 0], [0, 2, 0], [1, 2, 0], [2, 2, 0], [3, 2, 0], [-2, 3, 0], + + [-1, 3, 0], [0, 3, 0], [1, 3, 0], [2, 3, 0], [3, 3, 0], [-2, -2, 1], + + [-1, -2, 1], [0, -2, 1], [1, -2, 1], [2, -2, 1], [3, -2, 1], [-2, -1, 1], + + [-1, -1, 1], [0, -1, 1], [1, -1, 1], [2, -1, 1], [3, -1, 1], [-2, 0, 1], + + [-1, 0, 1], [0, 0, 1], [1, 0, 1], [2, 0, 1], [3, 0, 1], [-2, 1, 1], + + [-1, 1, 1], [0, 1, 1], [1, 1, 1], [2, 1, 1], [3, 1, 1], [-2, 2, 1], + + [-1, 2, 1], [0, 2, 1], [1, 2, 1], [2, 2, 1], [3, 2, 1], [-2, 3, 1], + + [-1, 3, 1], [0, 3, 1], [1, 3, 1], [2, 3, 1], [3, 3, 1], [-2, -2, 2], + + [-1, -2, 2], [0, -2, 2], [1, -2, 2], [2, -2, 2], [3, -2, 2], [-2, -1, 2], + + [-1, -1, 2], [0, -1, 2], [1, -1, 2], [2, -1, 2], [3, -1, 2], [-2, 0, 2], + + [-1, 0, 2], [0, 0, 2], [1, 0, 2], [2, 0, 2], [3, 0, 2], [-2, 1, 2], + + [-1, 1, 2], [0, 1, 2], [1, 1, 2], [2, 1, 2], [3, 1, 2], [-2, 2, 2], + + [-1, 2, 2], [0, 2, 2], [1, 2, 2], [2, 2, 2], [3, 2, 2], [-2, 3, 2], + + [-1, 3, 2], [0, 3, 2], [1, 3, 2], [2, 3, 2], [3, 3, 2], [-2, -2, 3], + + [-1, -2, 3], [0, -2, 3], [1, -2, 3], [2, -2, 3], [3, -2, 3], [-2, -1, 3], + + [-1, -1, 3], [0, -1, 3], [1, -1, 3], [2, -1, 3], [3, -1, 3], [-2, 0, 3], + + [-1, 0, 3], [0, 0, 3], [1, 0, 3], [2, 0, 3], [3, 0, 3], [-2, 1, 3], + + [-1, 1, 3], [0, 1, 3], [1, 1, 3], [2, 1, 3], [3, 1, 3], [-2, 2, 3], + + [-1, 2, 3], [0, 2, 3], [1, 2, 3], [2, 2, 3], [3, 2, 3], [-2, 3, 3], + + [-1, 3, 3], [0, 3, 3], [1, 3, 3], [2, 3, 3], [3, 3, 3]] + +# Maple code to define Hermite interpolating functions/coords/coeffs/mols +# $Header:$ +> +# +# Note: +# interpolation order 2 <==> fn order 3, 3-point (2nd order) derivative mols +# interpolation order 3 <==> fn order 3, 5-point (4th order) derivative mols +# interpolation order 4 <==> fn order 5, 5-point (4th order) derivative mols +# +> +################################################################################ +################################################################################ +################################################################################ +> +# +# derivative primitives +# (argument is a procedure which should map m into the DATA() reference) +# +> +> dx_3point := +> proc(f::procedure(integer)) +> (1/2) * (-f(-1) + f(+1)) +> end proc; + dx_3point := proc(f::procedure(integer)) -1/2*f(-1) + 1/2*f(1) end proc + +> +> dx_5point := +> proc(f::procedure(integer)) +> (1/12) * (f(-2) - 8*f(-1) + 8*f(+1) - f(+2)) +> end proc; +dx_5point := proc(f::procedure(integer)) + 1/12*f(-2) - 2/3*f(-1) + 2/3*f(1) - 1/12*f(2) +end proc + +> +################################################################################ +################################################################################ +################################################################################ +> +# +# 1-D interpolating functions +# +> +> fn_1d_order3 := +> proc(x) +> + c0 + c1*x + c2*x^2 + c3*x^3 +> end proc; + fn_1d_order3 := proc(x) c0 + c1*x + c2*x^2 + c3*x^3 end proc + +> +> fn_1d_order5 := +> proc(x) +> + c0 + c1*x + c2*x^2 + c3*x^3 + c4*x^4 + c5*x^5 +> end proc; + fn_1d_order5 := proc(x) c0 + c1*x + c2*x^2 + c3*x^3 + c4*x^4 + c5*x^5 end proc + +> +################################################################################ +> +# coordinates for 1-D interpolating functions +> coord_list_1d := [x]; + coord_list_1d := [x] + +> +################################################################################ +> +# +# coefficients in 1-D interpolating functions +# +> +> coeff_set_1d_order3 := {c0, c1, c2, c3}; + coeff_set_1d_order3 := {c0, c1, c2, c3} + +> coeff_set_1d_order5 := {c0, c1, c2, c3, c4, c5}; + coeff_set_1d_order5 := {c0, c1, c2, c3, c4, c5} + +> +################################################################################ +> +# +# 1-D derivative molecules (argument = molecule center) +# +> +> deriv_1d_dx_3point := proc(i::integer) +> dx_3point(proc(mi::integer) DATA(i+mi) end proc) +> end proc; +deriv_1d_dx_3point := proc(i::integer) + dx_3point(proc(mi::integer) DATA(i + mi) end proc) +end proc + +> deriv_1d_dx_5point := proc(i::integer) +> dx_5point(proc(mi::integer) DATA(i+mi) end proc) +> end proc; +deriv_1d_dx_5point := proc(i::integer) + dx_5point(proc(mi::integer) DATA(i + mi) end proc) +end proc + +> +################################################################################ +################################################################################ +################################################################################ +> +# +# 2-D interpolating functions +# +> +> fn_2d_order3 := +> proc(x,y) +> + c03*y^3 + c13*x*y^3 + c23*x^2*y^3 + c33*x^3*y^3 +> + c02*y^2 + c12*x*y^2 + c22*x^2*y^2 + c32*x^3*y^2 +> + c01*y + c11*x*y + c21*x^2*y + c31*x^3*y +> + c00 + c10*x + c20*x^2 + c30*x^3 +> end proc; +fn_2d_order3 := proc(x, y) + c03*y^3 + c13*x*y^3 + c23*x^2*y^3 + c33*x^3*y^3 + c02*y^2 + c12*x*y^2 + + c22*x^2*y^2 + c32*x^3*y^2 + c01*y + c11*x*y + c21*x^2*y + c31*x^3*y + + c00 + c10*x + c20*x^2 + c30*x^3 +end proc + +> +> fn_2d_order5 := +> proc(x,y) +> + c05*y^5 + c15*x*y^5 + c25*x^2*y^5 + c35*x^3*y^5 + c45*x^4*y^5 + c55*x^5*y^5 +> + c04*y^4 + c14*x*y^4 + c24*x^2*y^4 + c34*x^3*y^4 + c44*x^4*y^4 + c54*x^5*y^4 +> + c03*y^3 + c13*x*y^3 + c23*x^2*y^3 + c33*x^3*y^3 + c43*x^4*y^3 + c53*x^5*y^3 +> + c02*y^2 + c12*x*y^2 + c22*x^2*y^2 + c32*x^3*y^2 + c42*x^4*y^2 + c52*x^5*y^2 +> + c01*y + c11*x*y + c21*x^2*y + c31*x^3*y + c41*x^4*y + c51*x^5*y +> + c00 + c10*x + c20*x^2 + c30*x^3 + c40*x^4 + c50*x^5 +> end proc; +fn_2d_order5 := proc(x, y) + c34*x^3*y^4 + c14*x*y^4 + c03*y^3 + c02*y^2 + c01*y + c10*x + c20*x^2 + + c30*x^3 + c05*y^5 + c04*y^4 + c40*x^4 + c50*x^5 + c13*x*y^3 + + c23*x^2*y^3 + c00 + c33*x^3*y^3 + c12*x*y^2 + c22*x^2*y^2 + + c32*x^3*y^2 + c11*x*y + c21*x^2*y + c31*x^3*y + c15*x*y^5 + + c25*x^2*y^5 + c35*x^3*y^5 + c45*x^4*y^5 + c55*x^5*y^5 + c24*x^2*y^4 + + c44*x^4*y^4 + c54*x^5*y^4 + c43*x^4*y^3 + c53*x^5*y^3 + c42*x^4*y^2 + + c52*x^5*y^2 + c41*x^4*y + c51*x^5*y +end proc + +> +################################################################################ +> +# coordinates for 2-D interpolating functions +> coord_list_2d := [x,y]; + coord_list_2d := [x, y] + +> +################################################################################ +> +# +# coefficients in 2-D interpolating functions +# +> +> coeff_set_2d_order3 := { +> c03, c13, c23, c33, +> c02, c12, c22, c32, +> c01, c11, c21, c31, +> c00, c10, c20, c30 +> }; +coeff_set_2d_order3 := {c03, c13, c23, c33, c02, c12, c22, c32, c01, c11, c21, + + c31, c00, c10, c20, c30} + +> +> coeff_set_2d_order5 := { +> c05, c15, c25, c35, c45, c55, +> c04, c14, c24, c34, c44, c54, +> c03, c13, c23, c33, c43, c53, +> c02, c12, c22, c32, c42, c52, +> c01, c11, c21, c31, c41, c51, +> c00, c10, c20, c30, c40, c50 +> }; +coeff_set_2d_order5 := {c03, c13, c23, c33, c02, c12, c22, c32, c01, c11, c21, + + c31, c00, c10, c20, c30, c05, c15, c25, c35, c45, c55, c04, c14, c24, c34, + + c44, c54, c43, c53, c42, c52, c41, c51, c40, c50} + +> +################################################################################ +> +# +# 2-D derivative molecules (arguments = molecule center) +# +> +> deriv_2d_dx_3point := proc(i::integer, j::integer) +> dx_3point( +> proc(mi::integer) DATA(i+mi,j) end proc +> ) +> end proc; +deriv_2d_dx_3point := proc(i::integer, j::integer) + dx_3point(proc(mi::integer) DATA(i + mi, j) end proc) +end proc + +> deriv_2d_dy_3point := proc(i::integer, j::integer) +> dx_3point( +> proc(mj::integer) DATA(i,j+mj) end proc +> ) +> end proc; +deriv_2d_dy_3point := proc(i::integer, j::integer) + dx_3point(proc(mj::integer) DATA(i, j + mj) end proc) +end proc + +> deriv_2d_dxy_3point := proc(i::integer, j::integer) +> dx_3point( +> proc(mi::integer) +> dx_3point(proc(mj::integer) DATA(i+mi,j+mj) end proc) +> end proc +> ) +> end proc; +deriv_2d_dxy_3point := proc(i::integer, j::integer) + dx_3point(proc(mi::integer) + dx_3point(proc(mj::integer) DATA(i + mi, j + mj) end proc) + end proc) +end proc + +> +> deriv_2d_dx_5point := proc(i::integer, j::integer) +> dx_5point( +> proc(mi::integer) DATA(i+mi,j) end proc +> ) +> end proc; +deriv_2d_dx_5point := proc(i::integer, j::integer) + dx_5point(proc(mi::integer) DATA(i + mi, j) end proc) +end proc + +> deriv_2d_dy_5point := proc(i::integer, j::integer) +> dx_5point( +> proc(mj::integer) DATA(i,j+mj) end proc +> ) +> end proc; +deriv_2d_dy_5point := proc(i::integer, j::integer) + dx_5point(proc(mj::integer) DATA(i, j + mj) end proc) +end proc + +> deriv_2d_dxy_5point := proc(i::integer, j::integer) +> dx_5point( +> proc(mi::integer) +> dx_5point(proc(mj::integer) DATA(i+mi,j+mj) end proc) +> end proc +> ) +> end proc; +deriv_2d_dxy_5point := proc(i::integer, j::integer) + dx_5point(proc(mi::integer) + dx_5point(proc(mj::integer) DATA(i + mi, j + mj) end proc) + end proc) +end proc + +> +################################################################################ +################################################################################ +################################################################################ +> +# +# 3-D interpolating functions +# +> +> fn_3d_order3 := +> proc(x,y,z) +# z^3 --------------------------------------------------------------- +> + c033*y^3*z^3 + c133*x*y^3*z^3 + c233*x^2*y^3*z^3 + c333*x^3*y^3*z^3 +> + c023*y^2*z^3 + c123*x*y^2*z^3 + c223*x^2*y^2*z^3 + c323*x^3*y^2*z^3 +> + c013*y *z^3 + c113*x*y *z^3 + c213*x^2*y *z^3 + c313*x^3*y *z^3 +> + c003 *z^3 + c103*x *z^3 + c203*x^2 *z^3 + c303*x^3 *z^3 +# z^2 --------------------------------------------------------------- +> + c032*y^3*z^2 + c132*x*y^3*z^2 + c232*x^2*y^3*z^2 + c332*x^3*y^3*z^2 +> + c022*y^2*z^2 + c122*x*y^2*z^2 + c222*x^2*y^2*z^2 + c322*x^3*y^2*z^2 +> + c012*y *z^2 + c112*x*y *z^2 + c212*x^2*y *z^2 + c312*x^3*y *z^2 +> + c002 *z^2 + c102*x *z^2 + c202*x^2 *z^2 + c302*x^3 *z^2 +# z^1 --------------------------------------------------------------- +> + c031*y^3*z + c131*x*y^3*z + c231*x^2*y^3*z + c331*x^3*y^3*z +> + c021*y^2*z + c121*x*y^2*z + c221*x^2*y^2*z + c321*x^3*y^2*z +> + c011*y *z + c111*x*y *z + c211*x^2*y *z + c311*x^3*y *z +> + c001 *z + c101*x *z + c201*x^2 *z + c301*x^3 *z +# z^0 --------------------------------------------------------------- +> + c030*y^3 + c130*x*y^3 + c230*x^2*y^3 + c330*x^3*y^3 +> + c020*y^2 + c120*x*y^2 + c220*x^2*y^2 + c320*x^3*y^2 +> + c010*y + c110*x*y + c210*x^2*y + c310*x^3*y +> + c000 + c100*x + c200*x^2 + c300*x^3 +> end proc; +fn_3d_order3 := proc(x, y, z) + c330*x^3*y^3 + c031*y^3*z + c103*x*z^3 + c022*y^2*z^2 + c301*x^3*z + + c133*x*y^3*z^3 + c233*x^2*y^3*z^3 + c333*x^3*y^3*z^3 + + c123*x*y^2*z^3 + c223*x^2*y^2*z^3 + c323*x^3*y^2*z^3 + c113*x*y*z^3 + + c213*x^2*y*z^3 + c313*x^3*y*z^3 + c132*x*y^3*z^2 + c232*x^2*y^3*z^2 + + c332*x^3*y^3*z^2 + c122*x*y^2*z^2 + c222*x^2*y^2*z^2 + + c322*x^3*y^2*z^2 + c112*x*y*z^2 + c212*x^2*y*z^2 + c312*x^3*y*z^2 + + c131*x*y^3*z + c231*x^2*y^3*z + c331*x^3*y^3*z + c121*x*y^2*z + + c221*x^2*y^2*z + c321*x^3*y^2*z + c111*x*y*z + c211*x^2*y*z + + c311*x^3*y*z + c033*y^3*z^3 + c023*y^2*z^3 + c013*y*z^3 + + c203*x^2*z^3 + c303*x^3*z^3 + c032*y^3*z^2 + c003*z^3 + c002*z^2 + + c001*z + c030*y^3 + c020*y^2 + c010*y + c000 + c100*x + c200*x^2 + + c300*x^3 + c012*y*z^2 + c102*x*z^2 + c202*x^2*z^2 + c302*x^3*z^2 + + c021*y^2*z + c011*y*z + c101*x*z + c201*x^2*z + c130*x*y^3 + + c230*x^2*y^3 + c120*x*y^2 + c220*x^2*y^2 + c320*x^3*y^2 + c110*x*y + + c210*x^2*y + c310*x^3*y +end proc + +> +> fn_3d_order5 := +> proc(x,y,z) +# z^5 +> + c055*y^5*z^5 + c155*x*y^5*z^5 + c255*x^2*y^5*z^5 + c355*x^3*y^5*z^5 + c455*x^4*y^5*z^5 + c555*x^5*y^5*z^5 +> + c045*y^4*z^5 + c145*x*y^4*z^5 + c245*x^2*y^4*z^5 + c345*x^3*y^4*z^5 + c445*x^4*y^4*z^5 + c545*x^5*y^4*z^5 +> + c035*y^3*z^5 + c135*x*y^3*z^5 + c235*x^2*y^3*z^5 + c335*x^3*y^3*z^5 + c435*x^4*y^3*z^5 + c535*x^5*y^3*z^5 +> + c025*y^2*z^5 + c125*x*y^2*z^5 + c225*x^2*y^2*z^5 + c325*x^3*y^2*z^5 + c425*x^4*y^2*z^5 + c525*x^5*y^2*z^5 +> + c015*y *z^5 + c115*x*y *z^5 + c215*x^2*y *z^5 + c315*x^3*y *z^5 + c415*x^4*y *z^5 + c515*x^5*y *z^5 +> + c005 *z^5 + c105*x *z^5 + c205*x^2 *z^5 + c305*x^3 *z^5 + c405*x^4 *z^5 + c505*x^5 *z^5 +# z^4 +> + c054*y^5*z^4 + c154*x*y^5*z^4 + c254*x^2*y^5*z^4 + c354*x^3*y^5*z^4 + c454*x^4*y^5*z^4 + c554*x^5*y^5*z^4 +> + c044*y^4*z^4 + c144*x*y^4*z^4 + c244*x^2*y^4*z^4 + c344*x^3*y^4*z^4 + c444*x^4*y^4*z^4 + c544*x^5*y^4*z^4 +> + c034*y^3*z^4 + c134*x*y^3*z^4 + c234*x^2*y^3*z^4 + c334*x^3*y^3*z^4 + c434*x^4*y^3*z^4 + c534*x^5*y^3*z^4 +> + c024*y^2*z^4 + c124*x*y^2*z^4 + c224*x^2*y^2*z^4 + c324*x^3*y^2*z^4 + c424*x^4*y^2*z^4 + c524*x^5*y^2*z^4 +> + c014*y *z^4 + c114*x*y *z^4 + c214*x^2*y *z^4 + c314*x^3*y *z^4 + c414*x^4*y *z^4 + c514*x^5*y *z^4 +> + c004 *z^4 + c104*x *z^4 + c204*x^2 *z^4 + c304*x^3 *z^4 + c404*x^4 *z^4 + c504*x^5 *z^4 +# z^3 +> + c053*y^5*z^3 + c153*x*y^5*z^3 + c253*x^2*y^5*z^3 + c353*x^3*y^5*z^3 + c453*x^4*y^5*z^3 + c553*x^5*y^5*z^3 +> + c043*y^4*z^3 + c143*x*y^4*z^3 + c243*x^2*y^4*z^3 + c343*x^3*y^4*z^3 + c443*x^4*y^4*z^3 + c543*x^5*y^4*z^3 +> + c033*y^3*z^3 + c133*x*y^3*z^3 + c233*x^2*y^3*z^3 + c333*x^3*y^3*z^3 + c433*x^4*y^3*z^3 + c533*x^5*y^3*z^3 +> + c023*y^2*z^3 + c123*x*y^2*z^3 + c223*x^2*y^2*z^3 + c323*x^3*y^2*z^3 + c423*x^4*y^2*z^3 + c523*x^5*y^2*z^3 +> + c013*y *z^3 + c113*x*y *z^3 + c213*x^2*y *z^3 + c313*x^3*y *z^3 + c413*x^4*y *z^3 + c513*x^5*y *z^3 +> + c003 *z^3 + c103*x *z^3 + c203*x^2 *z^3 + c303*x^3 *z^3 + c403*x^4 *z^3 + c503*x^5 *z^3 +# z^2 +> + c052*y^5*z^2 + c152*x*y^5*z^2 + c252*x^2*y^5*z^2 + c352*x^3*y^5*z^2 + c452*x^4*y^5*z^2 + c552*x^5*y^5*z^2 +> + c042*y^4*z^2 + c142*x*y^4*z^2 + c242*x^2*y^4*z^2 + c342*x^3*y^4*z^2 + c442*x^4*y^4*z^2 + c542*x^5*y^4*z^2 +> + c032*y^3*z^2 + c132*x*y^3*z^2 + c232*x^2*y^3*z^2 + c332*x^3*y^3*z^2 + c432*x^4*y^3*z^2 + c532*x^5*y^3*z^2 +> + c022*y^2*z^2 + c122*x*y^2*z^2 + c222*x^2*y^2*z^2 + c322*x^3*y^2*z^2 + c422*x^4*y^2*z^2 + c522*x^5*y^2*z^2 +> + c012*y *z^2 + c112*x*y *z^2 + c212*x^2*y *z^2 + c312*x^3*y *z^2 + c412*x^4*y *z^2 + c512*x^5*y *z^2 +> + c002 *z^2 + c102*x *z^2 + c202*x^2 *z^2 + c302*x^3 *z^2 + c402*x^4 *z^2 + c502*x^5 *z^2 +# z^1 +> + c051*y^5*z + c151*x*y^5*z + c251*x^2*y^5*z + c351*x^3*y^5*z + c451*x^4*y^5*z + c551*x^5*y^5*z +> + c041*y^4*z + c141*x*y^4*z + c241*x^2*y^4*z + c341*x^3*y^4*z + c441*x^4*y^4*z + c541*x^5*y^4*z +> + c031*y^3*z + c131*x*y^3*z + c231*x^2*y^3*z + c331*x^3*y^3*z + c431*x^4*y^3*z + c531*x^5*y^3*z +> + c021*y^2*z + c121*x*y^2*z + c221*x^2*y^2*z + c321*x^3*y^2*z + c421*x^4*y^2*z + c521*x^5*y^2*z +> + c011*y *z + c111*x*y *z + c211*x^2*y *z + c311*x^3*y *z + c411*x^4*y *z + c511*x^5*y *z +> + c001 *z + c101*x *z + c201*x^2 *z + c301*x^3 *z + c401*x^4 *z + c501*x^5 *z +# z^0 +> + c050*y^5 + c150*x*y^5 + c250*x^2*y^5 + c350*x^3*y^5 + c450*x^4*y^5 + c550*x^5*y^5 +> + c040*y^4 + c140*x*y^4 + c240*x^2*y^4 + c340*x^3*y^4 + c440*x^4*y^4 + c540*x^5*y^4 +> + c030*y^3 + c130*x*y^3 + c230*x^2*y^3 + c330*x^3*y^3 + c430*x^4*y^3 + c530*x^5*y^3 +> + c020*y^2 + c120*x*y^2 + c220*x^2*y^2 + c320*x^3*y^2 + c420*x^4*y^2 + c520*x^5*y^2 +> + c010*y + c110*x*y + c210*x^2*y + c310*x^3*y + c410*x^4*y + c510*x^5*y +> + c000 + c100*x + c200*x^2 + c300*x^3 + c400*x^4 + c500*x^5 +> end proc; +fn_3d_order5 := proc(x, y, z) + c043*y^4*z^3 + c204*x^2*z^4 + c104*x*z^4 + c330*x^3*y^3 + c503*x^5*z^3 + + c250*x^2*y^5 + c031*y^3*z + c103*x*z^3 + c052*y^5*z^2 + c051*y^5*z + + c550*x^5*y^5 + c045*y^4*z^5 + c404*x^4*z^4 + c304*x^3*z^4 + + c042*y^4*z^2 + c140*x*y^4 + c022*y^2*z^2 + c205*x^2*z^5 + c150*x*y^5 + + c301*x^3*z + c133*x*y^3*z^3 + c233*x^2*y^3*z^3 + c333*x^3*y^3*z^3 + + c123*x*y^2*z^3 + c223*x^2*y^2*z^3 + c323*x^3*y^2*z^3 + c113*x*y*z^3 + + c213*x^2*y*z^3 + c313*x^3*y*z^3 + c132*x*y^3*z^2 + c232*x^2*y^3*z^2 + + c332*x^3*y^3*z^2 + c122*x*y^2*z^2 + c222*x^2*y^2*z^2 + + c322*x^3*y^2*z^2 + c112*x*y*z^2 + c212*x^2*y*z^2 + c312*x^3*y*z^2 + + c131*x*y^3*z + c231*x^2*y^3*z + c331*x^3*y^3*z + c121*x*y^2*z + + c221*x^2*y^2*z + c321*x^3*y^2*z + c111*x*y*z + c211*x^2*y*z + + c311*x^3*y*z + c155*x*y^5*z^5 + c255*x^2*y^5*z^5 + c355*x^3*y^5*z^5 + + c455*x^4*y^5*z^5 + c555*x^5*y^5*z^5 + c145*x*y^4*z^5 + + c245*x^2*y^4*z^5 + c345*x^3*y^4*z^5 + c445*x^4*y^4*z^5 + + c545*x^5*y^4*z^5 + c135*x*y^3*z^5 + c235*x^2*y^3*z^5 + + c335*x^3*y^3*z^5 + c435*x^4*y^3*z^5 + c535*x^5*y^3*z^5 + + c125*x*y^2*z^5 + c225*x^2*y^2*z^5 + c325*x^3*y^2*z^5 + + c425*x^4*y^2*z^5 + c525*x^5*y^2*z^5 + c115*x*y*z^5 + c215*x^2*y*z^5 + + c315*x^3*y*z^5 + c415*x^4*y*z^5 + c515*x^5*y*z^5 + c154*x*y^5*z^4 + + c254*x^2*y^5*z^4 + c354*x^3*y^5*z^4 + c454*x^4*y^5*z^4 + + c554*x^5*y^5*z^4 + c144*x*y^4*z^4 + c244*x^2*y^4*z^4 + + c344*x^3*y^4*z^4 + c444*x^4*y^4*z^4 + c544*x^5*y^4*z^4 + + c134*x*y^3*z^4 + c234*x^2*y^3*z^4 + c334*x^3*y^3*z^4 + + c434*x^4*y^3*z^4 + c534*x^5*y^3*z^4 + c124*x*y^2*z^4 + c035*y^3*z^5 + + c540*x^5*y^4 + c033*y^3*z^3 + c023*y^2*z^3 + c013*y*z^3 + + c203*x^2*z^3 + c303*x^3*z^3 + c032*y^3*z^2 + c003*z^3 + c002*z^2 + + c001*z + c030*y^3 + c020*y^2 + c010*y + c000 + c100*x + c200*x^2 + + c300*x^3 + c005*z^5 + c012*y*z^2 + c102*x*z^2 + c202*x^2*z^2 + + c302*x^3*z^2 + c021*y^2*z + c011*y*z + c101*x*z + c201*x^2*z + + c130*x*y^3 + c230*x^2*y^3 + c120*x*y^2 + c220*x^2*y^2 + c320*x^3*y^2 + + c110*x*y + c210*x^2*y + c310*x^3*y + c055*y^5*z^5 + c025*y^2*z^5 + + c015*y*z^5 + c105*x*z^5 + c305*x^3*z^5 + c405*x^4*z^5 + c505*x^5*z^5 + + c054*y^5*z^4 + c044*y^4*z^4 + c034*y^3*z^4 + c024*y^2*z^4 + + c224*x^2*y^2*z^4 + c324*x^3*y^2*z^4 + c424*x^4*y^2*z^4 + + c524*x^5*y^2*z^4 + c114*x*y*z^4 + c214*x^2*y*z^4 + c314*x^3*y*z^4 + + c414*x^4*y*z^4 + c514*x^5*y*z^4 + c153*x*y^5*z^3 + c253*x^2*y^5*z^3 + + c353*x^3*y^5*z^3 + c453*x^4*y^5*z^3 + c553*x^5*y^5*z^3 + + c143*x*y^4*z^3 + c243*x^2*y^4*z^3 + c343*x^3*y^4*z^3 + + c443*x^4*y^4*z^3 + c543*x^5*y^4*z^3 + c433*x^4*y^3*z^3 + + c533*x^5*y^3*z^3 + c423*x^4*y^2*z^3 + c523*x^5*y^2*z^3 + + c413*x^4*y*z^3 + c513*x^5*y*z^3 + c152*x*y^5*z^2 + c252*x^2*y^5*z^2 + + c352*x^3*y^5*z^2 + c452*x^4*y^5*z^2 + c552*x^5*y^5*z^2 + + c142*x*y^4*z^2 + c242*x^2*y^4*z^2 + c342*x^3*y^4*z^2 + + c442*x^4*y^4*z^2 + c542*x^5*y^4*z^2 + c432*x^4*y^3*z^2 + + c532*x^5*y^3*z^2 + c422*x^4*y^2*z^2 + c522*x^5*y^2*z^2 + + c412*x^4*y*z^2 + c512*x^5*y*z^2 + c151*x*y^5*z + c251*x^2*y^5*z + + c351*x^3*y^5*z + c451*x^4*y^5*z + c551*x^5*y^5*z + c141*x*y^4*z + + c241*x^2*y^4*z + c341*x^3*y^4*z + c441*x^4*y^4*z + c541*x^5*y^4*z + + c431*x^4*y^3*z + c531*x^5*y^3*z + c421*x^4*y^2*z + c521*x^5*y^2*z + + c411*x^4*y*z + c511*x^5*y*z + c004*z^4 + c050*y^5 + c040*y^4 + + c400*x^4 + c500*x^5 + c014*y*z^4 + c504*x^5*z^4 + c053*y^5*z^3 + + c403*x^4*z^3 + c402*x^4*z^2 + c502*x^5*z^2 + c041*y^4*z + c401*x^4*z + + c501*x^5*z + c350*x^3*y^5 + c450*x^4*y^5 + c240*x^2*y^4 + + c340*x^3*y^4 + c440*x^4*y^4 + c430*x^4*y^3 + c530*x^5*y^3 + + c420*x^4*y^2 + c520*x^5*y^2 + c410*x^4*y + c510*x^5*y +end proc + +> +################################################################################ +> +# coordinates for 3-D interpolating functions +> coord_list_3d := [x,y,z]; + coord_list_3d := [x, y, z] + +> +################################################################################ +> +# +# coefficients in 3-D interpolating functions +# +> +> coeff_set_3d_order3 := { +> # z^3 +> c033, c133, c233, c333, +> c023, c123, c223, c323, +> c013, c113, c213, c313, +> c003, c103, c203, c303, +> # z^2 +> c032, c132, c232, c332, +> c022, c122, c222, c322, +> c012, c112, c212, c312, +> c002, c102, c202, c302, +> # z^1 +> c031, c131, c231, c331, +> c021, c121, c221, c321, +> c011, c111, c211, c311, +> c001, c101, c201, c301, +> # z^0 +> c030, c130, c230, c330, +> c020, c120, c220, c320, +> c010, c110, c210, c310, +> c000, c100, c200, c300 +> }; +coeff_set_3d_order3 := {c033, c133, c233, c333, c023, c123, c223, c323, c013, + + c113, c213, c313, c003, c103, c203, c303, c032, c132, c232, c332, c022, + + c122, c222, c322, c012, c112, c212, c312, c002, c102, c202, c302, c031, + + c131, c231, c331, c021, c121, c221, c321, c011, c111, c211, c311, c001, + + c101, c201, c301, c030, c130, c230, c330, c020, c120, c220, c320, c010, + + c110, c210, c310, c000, c100, c200, c300} + +> +> coeff_set_3d_order5 := { +> # z^5 +> c055, c155, c255, c355, c455, c555, +> c045, c145, c245, c345, c445, c545, +> c035, c135, c235, c335, c435, c535, +> c025, c125, c225, c325, c425, c525, +> c015, c115, c215, c315, c415, c515, +> c005, c105, c205, c305, c405, c505, +> # z^4 +> c054, c154, c254, c354, c454, c554, +> c044, c144, c244, c344, c444, c544, +> c034, c134, c234, c334, c434, c534, +> c024, c124, c224, c324, c424, c524, +> c014, c114, c214, c314, c414, c514, +> c004, c104, c204, c304, c404, c504, +> # z^3 +> c053, c153, c253, c353, c453, c553, +> c043, c143, c243, c343, c443, c543, +> c033, c133, c233, c333, c433, c533, +> c023, c123, c223, c323, c423, c523, +> c013, c113, c213, c313, c413, c513, +> c003, c103, c203, c303, c403, c503, +> # z^2 +> c052, c152, c252, c352, c452, c552, +> c042, c142, c242, c342, c442, c542, +> c032, c132, c232, c332, c432, c532, +> c022, c122, c222, c322, c422, c522, +> c012, c112, c212, c312, c412, c512, +> c002, c102, c202, c302, c402, c502, +> # z^1 +> c051, c151, c251, c351, c451, c551, +> c041, c141, c241, c341, c441, c541, +> c031, c131, c231, c331, c431, c531, +> c021, c121, c221, c321, c421, c521, +> c011, c111, c211, c311, c411, c511, +> c001, c101, c201, c301, c401, c501, +> # z^0 +> c050, c150, c250, c350, c450, c550, +> c040, c140, c240, c340, c440, c540, +> c030, c130, c230, c330, c430, c530, +> c020, c120, c220, c320, c420, c520, +> c010, c110, c210, c310, c410, c510, +> c000, c100, c200, c300, c400, c500 +> }; +coeff_set_3d_order5 := {c033, c133, c233, c333, c023, c123, c223, c323, c013, + + c113, c213, c313, c003, c103, c203, c303, c032, c132, c232, c332, c022, + + c122, c222, c322, c012, c112, c212, c312, c002, c102, c202, c302, c031, + + c131, c231, c331, c021, c121, c221, c321, c011, c111, c211, c311, c001, + + c101, c201, c301, c030, c130, c230, c330, c020, c120, c220, c320, c010, + + c110, c210, c310, c000, c100, c200, c300, c055, c155, c255, c355, c455, + + c555, c045, c145, c245, c345, c445, c545, c035, c135, c235, c335, c435, + + c535, c025, c125, c225, c325, c425, c525, c015, c115, c215, c315, c415, + + c515, c005, c105, c205, c305, c405, c505, c054, c154, c254, c354, c454, + + c554, c044, c144, c244, c344, c444, c544, c034, c134, c234, c334, c434, + + c534, c024, c124, c224, c324, c424, c524, c014, c114, c214, c314, c414, + + c514, c004, c104, c204, c304, c404, c504, c053, c153, c253, c353, c453, + + c553, c043, c143, c243, c343, c443, c543, c433, c533, c423, c523, c413, + + c513, c403, c503, c052, c152, c252, c352, c452, c552, c042, c142, c242, + + c342, c442, c542, c432, c532, c422, c522, c412, c512, c402, c502, c051, + + c151, c251, c351, c451, c551, c041, c141, c241, c341, c441, c541, c431, + + c531, c421, c521, c411, c511, c401, c501, c050, c150, c250, c350, c450, + + c550, c040, c140, c240, c340, c440, c540, c430, c530, c420, c520, c410, + + c510, c400, c500} + +> +################################################################################ +> +# +# 3-D derivative molecules (arguments = molecule center) +# +> +> deriv_3d_dx_3point := proc(i::integer, j::integer, k::integer) +> dx_3point( +> proc(mi::integer) DATA(i+mi,j,k) end proc +> ) +> end proc; +deriv_3d_dx_3point := proc(i::integer, j::integer, k::integer) + dx_3point(proc(mi::integer) DATA(i + mi, j, k) end proc) +end proc + +> deriv_3d_dy_3point := proc(i::integer, j::integer, k::integer) +> dx_3point( +> proc(mj::integer) DATA(i,j+mj,k) end proc +> ) +> end proc; +deriv_3d_dy_3point := proc(i::integer, j::integer, k::integer) + dx_3point(proc(mj::integer) DATA(i, j + mj, k) end proc) +end proc + +> deriv_3d_dz_3point := proc(i::integer, j::integer, k::integer) +> dx_3point( +> proc(mk::integer) DATA(i,j,k+mk) end proc +> ) +> end proc; +deriv_3d_dz_3point := proc(i::integer, j::integer, k::integer) + dx_3point(proc(mk::integer) DATA(i, j, k + mk) end proc) +end proc + +> deriv_3d_dxy_3point := proc(i::integer, j::integer, k::integer) +> dx_3point( +> proc(mi::integer) +> dx_3point( +> proc(mj::integer) DATA(i+mi,j+mj,k) end proc +> ) +> end proc +> ) +> end proc; +deriv_3d_dxy_3point := proc(i::integer, j::integer, k::integer) + dx_3point(proc(mi::integer) + dx_3point(proc(mj::integer) DATA(i + mi, j + mj, k) end proc) + end proc) +end proc + +> deriv_3d_dxz_3point := proc(i::integer, j::integer, k::integer) +> dx_3point( +> proc(mi::integer) +> dx_3point( +> proc(mk::integer) DATA(i+mi,j,k+mk) end proc +> ) +> end proc +> ) +> end proc; +deriv_3d_dxz_3point := proc(i::integer, j::integer, k::integer) + dx_3point(proc(mi::integer) + dx_3point(proc(mk::integer) DATA(i + mi, j, k + mk) end proc) + end proc) +end proc + +> deriv_3d_dyz_3point := proc(i::integer, j::integer, k::integer) +> dx_3point( +> proc(mj::integer) +> dx_3point( +> proc(mk::integer) DATA(i,j+mj,k+mk) end proc +> ) +> end proc +> ) +> end proc; +deriv_3d_dyz_3point := proc(i::integer, j::integer, k::integer) + dx_3point(proc(mj::integer) + dx_3point(proc(mk::integer) DATA(i, j + mj, k + mk) end proc) + end proc) +end proc + +> deriv_3d_dxyz_3point := proc(i::integer, j::integer, k::integer) +> dx_3point( +> proc(mi::integer) +> dx_3point( +> proc(mj::integer) +> dx_3point( +> proc(mk::integer) +> DATA(i+mi,j+mj,k+mk) +> end proc +> ) +> end proc +> ) +> end proc +> ) +> end proc; +deriv_3d_dxyz_3point := proc(i::integer, j::integer, k::integer) + dx_3point(proc(mi::integer) + dx_3point(proc(mj::integer) + dx_3point( + proc(mk::integer) DATA(i + mi, j + mj, k + mk) end proc) + end proc) + end proc) +end proc + +> +> deriv_3d_dx_5point := proc(i::integer, j::integer, k::integer) +> dx_5point( +> proc(mi::integer) DATA(i+mi,j,k) end proc +> ) +> end proc; +deriv_3d_dx_5point := proc(i::integer, j::integer, k::integer) + dx_5point(proc(mi::integer) DATA(i + mi, j, k) end proc) +end proc + +> deriv_3d_dy_5point := proc(i::integer, j::integer, k::integer) +> dx_5point( +> proc(mj::integer) DATA(i,j+mj,k) end proc +> ) +> end proc; +deriv_3d_dy_5point := proc(i::integer, j::integer, k::integer) + dx_5point(proc(mj::integer) DATA(i, j + mj, k) end proc) +end proc + +> deriv_3d_dz_5point := proc(i::integer, j::integer, k::integer) +> dx_5point( +> proc(mk::integer) DATA(i,j,k+mk) end proc +> ) +> end proc; +deriv_3d_dz_5point := proc(i::integer, j::integer, k::integer) + dx_5point(proc(mk::integer) DATA(i, j, k + mk) end proc) +end proc + +> deriv_3d_dxy_5point := proc(i::integer, j::integer, k::integer) +> dx_5point( +> proc(mi::integer) +> dx_5point( +> proc(mj::integer) DATA(i+mi,j+mj,k) end proc +> ) +> end proc +> ) +> end proc; +deriv_3d_dxy_5point := proc(i::integer, j::integer, k::integer) + dx_5point(proc(mi::integer) + dx_5point(proc(mj::integer) DATA(i + mi, j + mj, k) end proc) + end proc) +end proc + +> deriv_3d_dxz_5point := proc(i::integer, j::integer, k::integer) +> dx_5point( +> proc(mi::integer) +> dx_5point( +> proc(mk::integer) DATA(i+mi,j,k+mk) end proc +> ) +> end proc +> ) +> end proc; +deriv_3d_dxz_5point := proc(i::integer, j::integer, k::integer) + dx_5point(proc(mi::integer) + dx_5point(proc(mk::integer) DATA(i + mi, j, k + mk) end proc) + end proc) +end proc + +> deriv_3d_dyz_5point := proc(i::integer, j::integer, k::integer) +> dx_5point( +> proc(mj::integer) +> dx_5point( +> proc(mk::integer) DATA(i,j+mj,k+mk) end proc +> ) +> end proc +> ) +> end proc; +deriv_3d_dyz_5point := proc(i::integer, j::integer, k::integer) + dx_5point(proc(mj::integer) + dx_5point(proc(mk::integer) DATA(i, j + mj, k + mk) end proc) + end proc) +end proc + +> deriv_3d_dxyz_5point := proc(i::integer, j::integer, k::integer) +> dx_5point( +> proc(mi::integer) +> dx_5point( +> proc(mj::integer) +> dx_5point( +> proc(mk::integer) +> DATA(i+mi,j+mj,k+mk) +> end proc +> ) +> end proc +> ) +> end proc +> ) +> end proc; +deriv_3d_dxyz_5point := proc(i::integer, j::integer, k::integer) + dx_5point(proc(mi::integer) + dx_5point(proc(mj::integer) + dx_5point( + proc(mk::integer) DATA(i + mi, j + mj, k + mk) end proc) + end proc) + end proc) +end proc + +> +################################################################################ +################################################################################ +################################################################################ +# 1d.maple -- compute Hermite interpolation coefficients in 1-D +# $Header:$ +> +################################################################################ +> +# +# 1d, cube, polynomial order=3, derivatives via 3-point order=2 formula +# ==> overall order=2, 4-point molecule +# +> +# interpolating polynomial +> interp_1d_cube_order2 +> := Hermite_polynomial_interpolant(fn_1d_order3, +> coeff_set_1d_order3, +> [x], +> { {x} = deriv_1d_dx_3point }, +> {op(posn_list_1d_size2)}, +> {op(posn_list_1d_size2)}); +interp_1d_cube_order2 := DATA(0) + (- 1/2 DATA(-1) + 1/2 DATA(1)) x + + 2 + + (DATA(-1) + 2 DATA(1) - 5/2 DATA(0) - 1/2 DATA(2)) x + + 3 + + (3/2 DATA(0) - 1/2 DATA(-1) - 3/2 DATA(1) + 1/2 DATA(2)) x + +> +# I +> coeff_as_lc_of_data(%, posn_list_1d_size4); + 2 3 2 3 +[COEFF(-1) = - 1/2 x + x - 1/2 x , COEFF(0) = - 5/2 x + 1 + 3/2 x , + + 3 2 3 2 + COEFF(1) = - 3/2 x + 1/2 x + 2 x , COEFF(2) = 1/2 x - 1/2 x ] + +> print_coeff__lc_of_data(%, "coeff_I_", "fp", +> "1d.coeffs/1d.cube.order2/coeff-I.compute.c"); +bytes used=1000076, alloc=917336, time=0.09 +> +# d/dx +> simplify( diff(interp_1d_cube_order2,x) ); +- 1/2 DATA(-1) + 1/2 DATA(1) + 2 x DATA(-1) + 4 x DATA(1) - 5 x DATA(0) + + 2 2 2 + - x DATA(2) + 9/2 x DATA(0) - 3/2 x DATA(-1) - 9/2 x DATA(1) + + 2 + + 3/2 x DATA(2) + +> coeff_as_lc_of_data(%, posn_list_1d_size4); + 2 2 +[COEFF(-1) = 2 x - 3/2 x - 1/2, COEFF(0) = -5 x + 9/2 x , + + 2 2 + COEFF(1) = 1/2 + 4 x - 9/2 x , COEFF(2) = -x + 3/2 x ] + +> print_coeff__lc_of_data(%, "coeff_dx_", "fp", +> "1d.coeffs/1d.cube.order2/coeff-dx.compute.c"); +bytes used=2000240, alloc=1441528, time=0.17 +> +# d^2/dx^2 +> simplify( diff(interp_1d_cube_order2,x,x) ); +2 DATA(-1) + 4 DATA(1) - 5 DATA(0) - DATA(2) + 9 x DATA(0) - 3 x DATA(-1) + + - 9 x DATA(1) + 3 x DATA(2) + +> coeff_as_lc_of_data(%, posn_list_1d_size4); +[COEFF(-1) = 2 - 3 x, COEFF(0) = -5 + 9 x, COEFF(1) = -9 x + 4, + + COEFF(2) = -1 + 3 x] + +> print_coeff__lc_of_data(%, "coeff_dxx_", "fp", +> "1d.coeffs/1d.cube.order2/coeff-dxx.compute.c"); +> +################################################################################ +> +# +# 1d, cube, polynomial order=3, derivatives via 5-point order=4 formula +# ==> overall order=3, 6-point molecule +# +> +# interpolating polynomial +> interp_1d_cube_order3 +> := Hermite_polynomial_interpolant(fn_1d_order3, +> coeff_set_1d_order3, +> [x], +> { {x} = deriv_1d_dx_5point }, +> {op(posn_list_1d_size2)}, +> {op(posn_list_1d_size2)}); +interp_1d_cube_order3 := DATA(0) + + + (1/12 DATA(-2) - 2/3 DATA(-1) + 2/3 DATA(1) - 1/12 DATA(2)) x + ( + + - 1/6 DATA(-2) + 5/4 DATA(-1) + 5/3 DATA(1) - 1/2 DATA(2) - 7/3 DATA(0) + + 2 + + 1/12 DATA(3)) x + (4/3 DATA(0) + 1/12 DATA(-2) - 7/12 DATA(-1) + + 3 + - 4/3 DATA(1) + 7/12 DATA(2) - 1/12 DATA(3)) x + +> +# I +> coeff_as_lc_of_data(%, posn_list_1d_size6); + 2 3 2 3 +[COEFF(-2) = 1/12 x - 1/6 x + 1/12 x , COEFF(-1) = - 2/3 x + 5/4 x - 7/12 x , + + 2 3 3 2 + COEFF(0) = - 7/3 x + 1 + 4/3 x , COEFF(1) = - 4/3 x + 2/3 x + 5/3 x , + + 3 2 3 2 + COEFF(2) = 7/12 x - 1/12 x - 1/2 x , COEFF(3) = - 1/12 x + 1/12 x ] + +> print_coeff__lc_of_data(%, "coeff_I_", "fp", +> "1d.coeffs/1d.cube.order3/coeff-I.compute.c"); +bytes used=3000532, alloc=1703624, time=0.26 +> +# d/dx +> simplify( diff(interp_1d_cube_order3,x) ); +1/12 DATA(-2) - 2/3 DATA(-1) + 2/3 DATA(1) - 1/12 DATA(2) - 1/3 x DATA(-2) + + + 5/2 x DATA(-1) + 10/3 x DATA(1) - x DATA(2) - 14/3 x DATA(0) + + 2 2 2 + + 1/6 x DATA(3) + 4 x DATA(0) + 1/4 x DATA(-2) - 7/4 x DATA(-1) + + 2 2 2 + - 4 x DATA(1) + 7/4 x DATA(2) - 1/4 x DATA(3) + +> coeff_as_lc_of_data(%, posn_list_1d_size6); + 2 2 +[COEFF(-2) = - 1/3 x + 1/12 + 1/4 x , COEFF(-1) = - 2/3 + 5/2 x - 7/4 x , + + 2 2 + COEFF(0) = - 14/3 x + 4 x , COEFF(1) = -4 x + 10/3 x + 2/3, + + 2 2 + COEFF(2) = 7/4 x - 1/12 - x, COEFF(3) = 1/6 x - 1/4 x ] + +> print_coeff__lc_of_data(%, "coeff_dx_", "fp", +> "1d.coeffs/1d.cube.order3/coeff-dx.compute.c"); +bytes used=4000780, alloc=1769148, time=0.32 +> +# d^2/dx^2 +> simplify( diff(interp_1d_cube_order3,x,x) ); +- 1/3 DATA(-2) + 5/2 DATA(-1) + 10/3 DATA(1) - DATA(2) - 14/3 DATA(0) + + + 1/6 DATA(3) + 8 x DATA(0) + 1/2 x DATA(-2) - 7/2 x DATA(-1) + + - 8 x DATA(1) + 7/2 x DATA(2) - 1/2 x DATA(3) + +> coeff_as_lc_of_data(%, posn_list_1d_size6); +[COEFF(-2) = - 1/3 + 1/2 x, COEFF(-1) = - 7/2 x + 5/2, COEFF(0) = - 14/3 + 8 x, + + COEFF(1) = 10/3 - 8 x, COEFF(2) = 7/2 x - 1, COEFF(3) = 1/6 - 1/2 x] + +> print_coeff__lc_of_data(%, "coeff_dxx_", "fp", +> "1d.coeffs/1d.cube.order3/coeff-dxx.compute.c"); +> +################################################################################ +> +# +# 1d, cube, polynomial order=5, derivatives via 5-point order=4 formula +# ==> overall order=4, 6-point molecule +# +# n.b. in higher dimensions this doesn't work -- there aren't enough +# equations to determine all the coefficients :( :( +# +> +# interpolating polynomial +> interp_1d_cube_order4 +> := Hermite_polynomial_interpolant(fn_1d_order5, +> coeff_set_1d_order5, +> [x], +> { {x} = deriv_1d_dx_5point }, +> {op(posn_list_1d_size4)}, +> {op(posn_list_1d_size2)}); +bytes used=5001896, alloc=1769148, time=0.41 +interp_1d_cube_order4 := DATA(0) + + / + + (1/12 DATA(-2) - 2/3 DATA(-1) + 2/3 DATA(1) - 1/12 DATA(2)) x + | + \ + + 13 11 25 + - 1/8 DATA(-2) + -- DATA(-1) + 3/2 DATA(1) - -- DATA(2) - -- DATA(0) + 12 24 12 + + \ 2 + + 1/12 DATA(3)| x + (5/12 DATA(0) - 1/24 DATA(-2) - 1/24 DATA(-1) + / + + 3 /13 + - 7/12 DATA(1) + 7/24 DATA(2) - 1/24 DATA(3)) x + |-- DATA(0) + \12 + + 11 \ 4 + + 1/8 DATA(-2) - 7/12 DATA(-1) - DATA(1) + -- DATA(2) - 1/12 DATA(3)| x + 24 / + + + (- 5/12 DATA(0) - 1/24 DATA(-2) + 5/24 DATA(-1) + 5/12 DATA(1) + + 5 + - 5/24 DATA(2) + 1/24 DATA(3)) x + +> +# I +> coeff_as_lc_of_data(%, posn_list_1d_size6); + 2 3 4 5 +[COEFF(-2) = 1/12 x - 1/8 x - 1/24 x + 1/8 x - 1/24 x , + + 13 2 3 4 5 + COEFF(-1) = - 2/3 x + -- x - 1/24 x - 7/12 x + 5/24 x , + 12 + + 25 2 3 13 4 5 + COEFF(0) = - -- x + 5/12 x + -- x + 1 - 5/12 x , + 12 12 + + 3 2 5 4 + COEFF(1) = - 7/12 x + 2/3 x + 3/2 x + 5/12 x - x , + + 11 2 3 5 11 4 + COEFF(2) = - 1/12 x - -- x + 7/24 x - 5/24 x + -- x , + 24 24 + + 3 5 2 4 + COEFF(3) = - 1/24 x + 1/24 x + 1/12 x - 1/12 x ] + +> print_coeff__lc_of_data(%, "coeff_I_", "fp", +> "1d.coeffs/1d.cube.order4/coeff-I.compute.c"); +bytes used=6002224, alloc=1834672, time=0.49 +> +# d/dx +> simplify( diff(interp_1d_cube_order4,x) ); + 3 3 +2/3 DATA(1) - 2/3 DATA(-1) - 1/12 DATA(2) + 1/2 x DATA(-2) + 13/3 x DATA(0) + + 3 3 3 3 + - 7/3 x DATA(-1) - 4 x DATA(1) + 11/6 x DATA(2) - 1/3 x DATA(3) + + 25 4 4 25 4 25 4 + - -- x DATA(0) - 5/24 x DATA(-2) + -- x DATA(-1) + -- x DATA(1) + 12 24 12 + + 25 4 4 + - -- x DATA(2) + 5/24 x DATA(3) - 1/4 x DATA(-2) + 13/6 x DATA(-1) + 24 + + 11 + + 3 x DATA(1) - -- x DATA(2) - 25/6 x DATA(0) + 1/6 x DATA(3) + 12 + + 2 2 2 2 + + 5/4 x DATA(0) - 1/8 x DATA(-2) - 1/8 x DATA(-1) - 7/4 x DATA(1) + + 2 2 + + 7/8 x DATA(2) - 1/8 x DATA(3) + 1/12 DATA(-2) + +> coeff_as_lc_of_data(%, posn_list_1d_size6); +bytes used=7002492, alloc=1834672, time=0.57 + 3 4 2 +[COEFF(-2) = 1/2 x - 5/24 x - 1/8 x + 1/12 - 1/4 x, + + 3 25 4 2 + COEFF(-1) = - 7/3 x + 13/6 x + -- x - 1/8 x - 2/3, + 24 + + 2 3 25 4 + COEFF(0) = - 25/6 x + 5/4 x + 13/3 x - -- x , + 12 + + 2 3 25 4 + COEFF(1) = - 7/4 x + 3 x - 4 x + 2/3 + -- x , + 12 + + 3 25 4 11 2 + COEFF(2) = - 1/12 + 11/6 x - -- x - -- x + 7/8 x , + 24 12 + + 3 4 2 + COEFF(3) = - 1/3 x + 1/6 x + 5/24 x - 1/8 x ] + +> print_coeff__lc_of_data(%, "coeff_dx_", "fp", +> "1d.coeffs/1d.cube.order4/coeff-dx.compute.c"); +> +# d^2/dx^2 +> simplify( diff(interp_1d_cube_order4,x,x) ); +bytes used=8002712, alloc=1834672, time=0.65 + 11 +- 1/4 DATA(-2) + 13/6 DATA(-1) + 3 DATA(1) - -- DATA(2) - 25/6 DATA(0) + 12 + + + 1/6 DATA(3) + 5/2 x DATA(0) - 1/4 x DATA(-2) - 1/4 x DATA(-1) + + 2 + - 7/2 x DATA(1) + 7/4 x DATA(2) - 1/4 x DATA(3) + 13 x DATA(0) + + 2 2 2 2 + + 3/2 x DATA(-2) - 7 x DATA(-1) - 12 x DATA(1) + 11/2 x DATA(2) + + 2 3 3 3 + - x DATA(3) - 25/3 x DATA(0) - 5/6 x DATA(-2) + 25/6 x DATA(-1) + + 3 3 3 + + 25/3 x DATA(1) - 25/6 x DATA(2) + 5/6 x DATA(3) + +> coeff_as_lc_of_data(%, posn_list_1d_size6); + 2 3 +[COEFF(-2) = - 1/4 - 1/4 x + 3/2 x - 5/6 x , + + 2 3 + COEFF(-1) = 13/6 - 1/4 x - 7 x + 25/6 x , + + 3 2 + COEFF(0) = - 25/3 x + 13 x - 25/6 + 5/2 x, + + 2 3 + COEFF(1) = 3 - 7/2 x - 12 x + 25/3 x , + + 2 3 11 + COEFF(2) = 11/2 x - 25/6 x + 7/4 x - --, + 12 + + 3 2 + COEFF(3) = 5/6 x + 1/6 - 1/4 x - x ] + +> print_coeff__lc_of_data(%, "coeff_dxx_", "fp", +> "1d.coeffs/1d.cube.order4/coeff-dxx.compute.c"); +bytes used=9002944, alloc=1834672, time=0.71 +> +################################################################################ +> quit +bytes used=9085136, alloc=1834672, time=0.72 diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/1d.maple b/src/GeneralizedPolynomial-Uniform/Hermite/1d.maple new file mode 100644 index 0000000..1b8b47c --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/1d.maple @@ -0,0 +1,106 @@ +# 1d.maple -- compute Hermite interpolation coefficients in 1-D +# $Header$ + +################################################################################ + +# +# 1d, cube, polynomial order=3, derivatives via 3-point order=2 formula +# ==> overall order=2, 4-point molecule +# + +# interpolating polynomial +interp_1d_cube_order2 + := Hermite_polynomial_interpolant(fn_1d_order3, + coeff_set_1d_order3, + [x], + { {x} = deriv_1d_dx_3point }, + {op(posn_list_1d_size2)}, + {op(posn_list_1d_size2)}); + +# I +coeff_as_lc_of_data(%, posn_list_1d_size4); +print_coeff__lc_of_data(%, "coeff_I_", "fp", + "1d.coeffs/1d.cube.order2/coeff-I.compute.c"); + +# d/dx +simplify( diff(interp_1d_cube_order2,x) ); +coeff_as_lc_of_data(%, posn_list_1d_size4); +print_coeff__lc_of_data(%, "coeff_dx_", "fp", + "1d.coeffs/1d.cube.order2/coeff-dx.compute.c"); + +# d^2/dx^2 +simplify( diff(interp_1d_cube_order2,x,x) ); +coeff_as_lc_of_data(%, posn_list_1d_size4); +print_coeff__lc_of_data(%, "coeff_dxx_", "fp", + "1d.coeffs/1d.cube.order2/coeff-dxx.compute.c"); + +################################################################################ + +# +# 1d, cube, polynomial order=3, derivatives via 5-point order=4 formula +# ==> overall order=3, 6-point molecule +# + +# interpolating polynomial +interp_1d_cube_order3 + := Hermite_polynomial_interpolant(fn_1d_order3, + coeff_set_1d_order3, + [x], + { {x} = deriv_1d_dx_5point }, + {op(posn_list_1d_size2)}, + {op(posn_list_1d_size2)}); + +# I +coeff_as_lc_of_data(%, posn_list_1d_size6); +print_coeff__lc_of_data(%, "coeff_I_", "fp", + "1d.coeffs/1d.cube.order3/coeff-I.compute.c"); + +# d/dx +simplify( diff(interp_1d_cube_order3,x) ); +coeff_as_lc_of_data(%, posn_list_1d_size6); +print_coeff__lc_of_data(%, "coeff_dx_", "fp", + "1d.coeffs/1d.cube.order3/coeff-dx.compute.c"); + +# d^2/dx^2 +simplify( diff(interp_1d_cube_order3,x,x) ); +coeff_as_lc_of_data(%, posn_list_1d_size6); +print_coeff__lc_of_data(%, "coeff_dxx_", "fp", + "1d.coeffs/1d.cube.order3/coeff-dxx.compute.c"); + +################################################################################ + +# +# 1d, cube, polynomial order=5, derivatives via 5-point order=4 formula +# ==> overall order=4, 6-point molecule +# +# n.b. in higher dimensions this doesn't work -- there aren't enough +# equations to determine all the coefficients :( :( +# + +# interpolating polynomial +interp_1d_cube_order4 + := Hermite_polynomial_interpolant(fn_1d_order5, + coeff_set_1d_order5, + [x], + { {x} = deriv_1d_dx_5point }, + {op(posn_list_1d_size4)}, + {op(posn_list_1d_size2)}); + +# I +coeff_as_lc_of_data(%, posn_list_1d_size6); +print_coeff__lc_of_data(%, "coeff_I_", "fp", + "1d.coeffs/1d.cube.order4/coeff-I.compute.c"); + +# d/dx +simplify( diff(interp_1d_cube_order4,x) ); +coeff_as_lc_of_data(%, posn_list_1d_size6); +print_coeff__lc_of_data(%, "coeff_dx_", "fp", + "1d.coeffs/1d.cube.order4/coeff-dx.compute.c"); + +# d^2/dx^2 +simplify( diff(interp_1d_cube_order4,x,x) ); +coeff_as_lc_of_data(%, posn_list_1d_size6); +print_coeff__lc_of_data(%, "coeff_dxx_", "fp", + "1d.coeffs/1d.cube.order4/coeff-dxx.compute.c"); + +################################################################################ diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order2/coeff-I.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order2/coeff-I.compute.c new file mode 100644 index 0000000..b18719b --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order2/coeff-I.compute.c @@ -0,0 +1,132 @@ +fp t41, + t40, + t68, + t38, + t39, + t67, + t48, + t49, + t36, + t69, + t28, + t66, + t35, + t34, + t56, + t7, + t52, + t65, + t60, + t37, + t64, + t61, + t63, + t27, + t55, + t21, + t32, + t51, + t62, + t59, + t58, + t57, + t54, + t53, + t31, + t50, + t25, + t29, + t47, + t46, + t33, + t30, + t26, + t24, + t23, + t22, + t20, + t19, + t18, + t16, + t12, + t11, + t10, + t9, + t8, + t6, + t4; + t41 = x*x; + t40 = t41*x; + t68 = t40+x; + t38 = y*y; + t39 = y*t38; + t67 = y+t39; + t48 = t68*t38; + t49 = t67*t41; + t36 = RATIONAL(1.0,4.0); + t69 = x*t36; + t28 = RATIONAL(-1.0,4.0); + t66 = t28*y; + t35 = RATIONAL(-5.0,2.0); + t34 = RATIONAL(-3.0,4.0); + t56 = t34*t40; + t7 = t39*t56; + t52 = t41*t38; + t65 = t7+t35*t52; + t60 = t28*t39; + t37 = RATIONAL(-1.0,2.0); + t64 = t40*t60+t37*t52; + t61 = t39*t40; + t63 = RATIONAL(-9.0,4.0)*t61+RATIONAL(-5.0,1.0)*t52; + t27 = RATIONAL(3.0,4.0); + t55 = t27*t39; + t21 = t40*t55; + t32 = RATIONAL(5.0,4.0); + t51 = t32*t38; + t62 = t41*t51+t21; + t59 = t36*t40; + t58 = t34*t39; + t57 = t27*t40; + t54 = t41*t39; + t53 = t40*t38; + t31 = RATIONAL(2.0,1.0); + t50 = t21+t31*t52+x*t66; + t25 = RATIONAL(-5.0,4.0); + t29 = RATIONAL(1.0,2.0); + t47 = t25*t38+t29; + t46 = t29+t25*t41; + t33 = RATIONAL(3.0,2.0); + t30 = RATIONAL(-3.0,2.0); + t26 = RATIONAL(3.0,1.0); + t24 = RATIONAL(-3.0,1.0); + t23 = RATIONAL(15.0,4.0); + t22 = RATIONAL(-15.0,4.0); + t20 = y*t69; + t19 = x*t60; + t18 = x*t55; + t16 = t40*t66; + t12 = RATIONAL(9.0,4.0)*t61; + t11 = x*t58; + t10 = t39*t69; + t9 = y*t59; + t8 = t39*t59; + t6 = y*t56; + t4 = y*t57; + coeff_I_m1_m1 = t20+t10+t9+t8+t52+(t49+t48)*t37; + coeff_I_0_m1 = t38+t6+t33*t53+t65+t67*(t32*t41+t37); + coeff_I_p1_m1 = t19+t4-t49+(t30*t40+t29*x)*t38+t50; + coeff_I_p2_m1 = t29*t53+t16+t36*t49+t64; + coeff_I_m1_0 = t11+t41+t33*t54+t65+t68*(t51+t37); + coeff_I_0_0 = t12+RATIONAL(1.0,1.0)+(t35+t22*t39)*t41+(t39+t40)*t33+(t35+ +t22*t40+RATIONAL(25.0,4.0)*t41)*t38; + coeff_I_p1_0 = t18+(t31+t26*t39)*t41+(t30+t23*t38)*t40+t47*x+t63; + coeff_I_p2_0 = (t37+t58)*t41+t47*t40+t62; + coeff_I_m1_p1 = t16+t18+(t30*t39+t29*y)*t41-t48+t50; + coeff_I_0_p1 = t4+(t23*t41+t30)*t39+(t26*t40+t31)*t38+t46*y+t63; + coeff_I_p1_p1 = t20+t11+t6+t12+(t24*t39+y)*t41+(RATIONAL(4.0,1.0)*t41+x+ +t24*t40)*t38; + coeff_I_p2_p1 = t7+t9+t53+(t55+t66-t38)*t41; + coeff_I_m1_p2 = t29*t54+t19+t36*t48+t64; + coeff_I_0_p2 = t46*t39+(t56+t37)*t38+t62; + coeff_I_p1_p2 = t7+t54+t10+(t57+t28*x-t41)*t38; + coeff_I_p2_p2 = t8+t36*t52+(t54+t53)*t28; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order2/coeff-dx.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order2/coeff-dx.compute.c new file mode 100644 index 0000000..a4abe98 --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order2/coeff-dx.compute.c @@ -0,0 +1,125 @@ +fp t111, + t112, + t130, + t129, + t128, + t99, + t113, + t119, + t84, + t93, + t127, + t96, + t75, + t98, + t126, + t110, + t125, + t124, + t123, + t122, + t100, + t121, + t106, + t120, + t95, + t101, + t118, + t117, + t102, + t116, + t103, + t109, + t115, + t108, + t107, + t105, + t104, + t97, + t94, + t92, + t90, + t89, + t88, + t87, + t86, + t83, + t82, + t81, + t78, + t77, + t76, + t72; + t111 = y*y; + t112 = t111*y; + t130 = t112+y; + t129 = x*t111; + t128 = x*t112; + t99 = RATIONAL(9.0,4.0); + t113 = x*x; + t119 = t112*t113; + t84 = t99*t119; + t93 = RATIONAL(5.0,2.0); + t127 = t84+t93*t129; + t96 = RATIONAL(-9.0,4.0); + t75 = t96*t119; + t98 = RATIONAL(-5.0,1.0); + t126 = t75+t98*t129; + t110 = RATIONAL(-2.0,1.0); + t125 = t75+t110*t129; + t124 = RATIONAL(-10.0,1.0)*t129+RATIONAL(-27.0,4.0)*t119; + t123 = t99*t113; + t122 = t111*t113; + t100 = RATIONAL(3.0,4.0); + t121 = t100*t113; + t106 = RATIONAL(-3.0,4.0); + t120 = t106*t113; + t95 = RATIONAL(4.0,1.0); + t101 = RATIONAL(-1.0,4.0); + t118 = t84+t101*y+t95*t129; + t117 = x*t130; + t102 = RATIONAL(1.0,2.0); + t116 = RATIONAL(-9.0,2.0)*t113+t102; + t103 = RATIONAL(-3.0,2.0); + t109 = RATIONAL(-1.0,2.0); + t115 = t109+t103*t113; + t108 = RATIONAL(1.0,4.0); + t107 = RATIONAL(-5.0,2.0); + t105 = RATIONAL(3.0,2.0); + t104 = RATIONAL(2.0,1.0); + t97 = RATIONAL(3.0,1.0); + t94 = RATIONAL(-3.0,1.0); + t92 = RATIONAL(9.0,2.0); + t90 = t100*t112; + t89 = t106*t112; + t88 = t108*t112; + t87 = t108*y; + t86 = t101*t112; + t83 = y*t123; + t82 = t106*t119; + t81 = y*t120; + t78 = t100*t119; + t77 = y*t121; + t76 = t96*t113*y; + t72 = RATIONAL(27.0,4.0)*t119; + coeff_dx_m1_m1 = t88+t87+t78+t77+t115*t111+(t104*t111-t130)*x; + coeff_dx_0_m1 = t76+t92*t122+t93*t117+t126; + coeff_dx_p1_m1 = t86+t83+t116*t111+t110*t117+t118; + coeff_dx_p2_m1 = t82+t105*t122+t81+(-t111+t130*t102)*x; + coeff_dx_m1_0 = t89+(RATIONAL(5.0,4.0)+RATIONAL(15.0,4.0)*t113)*t111+(t97 +*t112+t104)*x+t115+t126; + coeff_dx_0_0 = t72+(t92+RATIONAL(-45.0,4.0)*t111)*t113+(RATIONAL(25.0,2.0 +)*t111+t98+RATIONAL(-15.0,2.0)*t112)*x; + coeff_dx_p1_0 = t90+(RATIONAL(45.0,4.0)*t113+RATIONAL(-5.0,4.0))*t111+( +t95+RATIONAL(6.0,1.0)*t112)*x+t116+t124; + coeff_dx_p2_0 = -x+t103*t128+(RATIONAL(-15.0,4.0)*t111+t105)*t113+t127; + coeff_dx_m1_p1 = t94*t122+t90-t111+t81+(y+t94*t112)*x+t118; + coeff_dx_0_p1 = t83+RATIONAL(9.0,1.0)*t122+(RATIONAL(15.0,2.0)*t112+t107* +y)*x+t124; + coeff_dx_p1_p1 = t89+t76+RATIONAL(-9.0,1.0)*t122+t111+t87+t72+(RATIONAL( +8.0,1.0)*t111+RATIONAL(-6.0,1.0)*t112+t104*y)*x; + coeff_dx_p2_p1 = t97*t122+t77+(t109*y+t105*t112)*x+t125; + coeff_dx_m1_p2 = t86+t128+t82+(t121+t108-x)*t111; + coeff_dx_0_p2 = t107*t128+t96*t122+t127; + coeff_dx_p1_p2 = t88+t104*t128+(t123+t101)*t111+t125; + coeff_dx_p2_p2 = t111*t120+t78+(t109*t112+t102*t111)*x; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order2/coeff-dxx.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order2/coeff-dxx.compute.c new file mode 100644 index 0000000..05e8adc --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order2/coeff-dxx.compute.c @@ -0,0 +1,104 @@ +fp t240, + t215, + t239, + t225, + t226, + t238, + t237, + t236, + t207, + t199, + t224, + t235, + t234, + t211, + t208, + t198, + t233, + t217, + t232, + t231, + t213, + t230, + t229, + t209, + t228, + t223, + t222, + t221, + t220, + t219, + t218, + t216, + t214, + t212, + t210, + t206, + t205, + t197, + t196, + t194, + t193, + t192, + t191; + t240 = x*y; + t215 = RATIONAL(-3.0,2.0); + t239 = t215*x; + t225 = y*y; + t226 = t225*y; + t238 = x*t226; + t237 = y+t226; + t236 = x*t225; + t207 = RATIONAL(-9.0,2.0); + t199 = t207*t238; + t224 = RATIONAL(-2.0,1.0); + t235 = t199+t224*t225; + t234 = RATIONAL(-10.0,1.0)*t225+RATIONAL(-27.0,2.0)*t238; + t211 = RATIONAL(4.0,1.0); + t208 = RATIONAL(9.0,2.0); + t198 = t208*t238; + t233 = t198+t211*t225; + t217 = RATIONAL(3.0,2.0); + t232 = t217*t226; + t231 = t215*t226; + t213 = RATIONAL(-5.0,1.0); + t230 = t199+t213*t225; + t229 = -t225+x*t231; + t209 = RATIONAL(5.0,2.0); + t228 = t198+t209*t225; + t223 = RATIONAL(6.0,1.0); + t222 = RATIONAL(9.0,1.0); + t221 = RATIONAL(-6.0,1.0); + t220 = RATIONAL(-1.0,2.0); + t219 = RATIONAL(-9.0,1.0); + t218 = RATIONAL(-5.0,2.0); + t216 = RATIONAL(2.0,1.0); + t214 = RATIONAL(1.0,2.0); + t212 = RATIONAL(3.0,1.0); + t210 = RATIONAL(-3.0,1.0); + t206 = RATIONAL(-15.0,2.0); + t205 = RATIONAL(15.0,2.0); + t197 = t208*t240; + t196 = y*t239; + t194 = t207*t240; + t193 = x*t232; + t192 = t217*t240; + t191 = RATIONAL(27.0,2.0)*t238; + coeff_dxx_m1_m1 = t192+t193+(t216+t210*x)*t225-t237; + coeff_dxx_0_m1 = t222*t236+t194+t237*t209+t230; + coeff_dxx_p1_m1 = t219*t236+t197+t237*t224+t233; + coeff_dxx_p2_m1 = t196+t212*t236+t237*t214+t229; + coeff_dxx_m1_0 = t216+t212*t226+(t210+t205*t225)*x+t230; + coeff_dxx_0_0 = RATIONAL(25.0,2.0)*t225+t191+t213+t206*t226+(t222+ +RATIONAL(-45.0,2.0)*t225)*x; + coeff_dxx_p1_0 = t223*t226+t211+(t219+RATIONAL(45.0,2.0)*t225)*x+t234; + coeff_dxx_p2_0 = t231+RATIONAL(-1.0,1.0)+(t206*t225+t212)*x+t228; + coeff_dxx_m1_p1 = y+t221*t236+t196+t210*t226+t233; + coeff_dxx_0_p1 = t218*y+t205*t226+t197+RATIONAL(18.0,1.0)*t236+t234; + coeff_dxx_p1_p1 = t191+t194+t221*t226+t216*y+(RATIONAL(-18.0,1.0)*x+ +RATIONAL(8.0,1.0))*t225; + coeff_dxx_p2_p1 = t223*t236+t232+t192+t220*y+t235; + coeff_dxx_m1_p2 = t217*t236+t226+t229; + coeff_dxx_0_p2 = t218*t226+t207*t236+t228; + coeff_dxx_p1_p2 = t208*t236+t216*t226+t235; + coeff_dxx_p2_p2 = t193+t220*t226+(t214+t239)*t225; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order2/coeff-dxy.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order2/coeff-dxy.compute.c new file mode 100644 index 0000000..6df54ad --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order2/coeff-dxy.compute.c @@ -0,0 +1,120 @@ +fp t300, + t289, + t299, + t290, + t298, + t294, + t241, + t297, + t296, + t242, + t295, + t293, + t268, + t288, + t292, + t291, + t287, + t286, + t285, + t284, + t283, + t282, + t281, + t280, + t279, + t278, + t277, + t276, + t275, + t274, + t273, + t272, + t271, + t270, + t269, + t266, + t265, + t264, + t263, + t262, + t261, + t260, + t259, + t258, + t257, + t256, + t255, + t254, + t253, + t249, + t246; + t300 = x*y; + t289 = y*y; + t299 = x*t289; + t290 = x*x; + t298 = t290*y; + t294 = t290*t289; + t241 = RATIONAL(-27.0,4.0)*t294; + t297 = t241+RATIONAL(-10.0,1.0)*t300; + t296 = RATIONAL(-81.0,4.0)*t294+RATIONAL(-20.0,1.0)*t300; + t242 = RATIONAL(27.0,4.0)*t294; + t295 = t242+RATIONAL(5.0,1.0)*t300; + t293 = t241+RATIONAL(-4.0,1.0)*t300; + t268 = RATIONAL(-9.0,4.0); + t288 = RATIONAL(-2.0,1.0); + t292 = t288*t300+t268*t294; + t291 = RATIONAL(-1.0,4.0)+t242+RATIONAL(8.0,1.0)*t300; + t287 = RATIONAL(6.0,1.0); + t286 = RATIONAL(9.0,1.0); + t285 = RATIONAL(-6.0,1.0); + t284 = RATIONAL(-1.0,2.0); + t283 = RATIONAL(-9.0,1.0); + t282 = RATIONAL(-5.0,2.0); + t281 = RATIONAL(3.0,2.0); + t280 = RATIONAL(2.0,1.0); + t279 = RATIONAL(-3.0,2.0); + t278 = RATIONAL(1.0,2.0); + t277 = RATIONAL(3.0,1.0); + t276 = RATIONAL(-3.0,1.0); + t275 = RATIONAL(9.0,4.0); + t274 = RATIONAL(3.0,4.0); + t273 = RATIONAL(1.0,4.0); + t272 = RATIONAL(5.0,2.0); + t271 = RATIONAL(9.0,2.0); + t270 = RATIONAL(-9.0,2.0); + t269 = RATIONAL(-3.0,4.0); + t266 = RATIONAL(-15.0,2.0); + t265 = RATIONAL(15.0,2.0); + t264 = RATIONAL(-45.0,2.0); + t263 = RATIONAL(45.0,2.0); + t262 = RATIONAL(18.0,1.0); + t261 = RATIONAL(-18.0,1.0); + t260 = t268*t289; + t259 = t275*t289; + t258 = t274*t289; + t257 = t274*t290; + t256 = t275*t290; + t255 = t269*t289; + t254 = t268*t290; + t253 = t269*t290; + t249 = t275*t294; + t246 = RATIONAL(81.0,4.0)*t294; + coeff_dxy_m1_m1 = t276*t298+t257-y+t273+t258+t249+(RATIONAL(4.0,1.0)*y +-1.0+t276*t289)*x; + coeff_dxy_0_m1 = t254+t286*t298+(t272+t265*t289)*x+t297; + coeff_dxy_p1_m1 = t283*t298+t255+t256+y+(t288+t285*t289)*x+t291; + coeff_dxy_p2_m1 = t253+t277*t298+(t281*t289+t278)*x+t292; + coeff_dxy_m1_0 = t286*t299+t260+(t265*t290+t272)*y+t297; + coeff_dxy_0_0 = t246+t264*t298+(t264*t289+RATIONAL(25.0,1.0)*y)*x; + coeff_dxy_p1_0 = t262*t299+t259+(t282+t263*t290)*y+t296; + coeff_dxy_p2_0 = t270*t299+t266*t298+t295; + coeff_dxy_m1_p1 = t259+t253+x+t283*t299+(t288+t285*t290)*y+t291; + coeff_dxy_0_p1 = t262*t298+t256+(t263*t289+t282)*x+t296; + coeff_dxy_p1_p1 = t254+t246+t260+t273+(t280+t261*t290)*y+(t261*t289+t280+ +RATIONAL(16.0,1.0)*y)*x; + coeff_dxy_p2_p1 = t287*t298+t257+(t271*t289+t284)*x+t293; + coeff_dxy_m1_p2 = t255+t277*t299+(t278+t281*t290)*y+t292; + coeff_dxy_0_p2 = t266*t299+t270*t298+t295; + coeff_dxy_p1_p2 = t287*t299+t258+(t284+t271*t290)*y+t293; + coeff_dxy_p2_p2 = t249+t279*t298+(t279*t289+y)*x; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order2/coeff-dy.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order2/coeff-dy.compute.c new file mode 100644 index 0000000..229c17a --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order2/coeff-dy.compute.c @@ -0,0 +1,124 @@ +fp t174, + t173, + t189, + t172, + t188, + t187, + t186, + t160, + t185, + t157, + t182, + t140, + t159, + t184, + t183, + t171, + t181, + t180, + t161, + t179, + t145, + t154, + t178, + t177, + t156, + t162, + t176, + t170, + t169, + t168, + t167, + t166, + t165, + t164, + t163, + t158, + t155, + t153, + t152, + t151, + t150, + t148, + t147, + t146, + t144, + t143, + t139, + t138, + t137, + t135, + t133; + t174 = x*x; + t173 = t174*x; + t189 = t173*y; + t172 = y*y; + t188 = x*t172; + t187 = t174*y; + t186 = x+t173; + t160 = RATIONAL(9.0,4.0); + t185 = t160*t172; + t157 = RATIONAL(-9.0,4.0); + t182 = t172*t173; + t140 = t157*t182; + t159 = RATIONAL(-5.0,1.0); + t184 = t140+t159*t187; + t183 = RATIONAL(-27.0,4.0)*t182+RATIONAL(-10.0,1.0)*t187; + t171 = RATIONAL(-2.0,1.0); + t181 = t171*t187+t140; + t180 = t172*t174; + t161 = RATIONAL(3.0,4.0); + t179 = t161*t172; + t145 = t160*t182; + t154 = RATIONAL(5.0,2.0); + t178 = t154*t187+t145; + t177 = y*t186; + t156 = RATIONAL(4.0,1.0); + t162 = RATIONAL(-1.0,4.0); + t176 = t156*t187+t145+t162*x; + t170 = RATIONAL(-1.0,2.0); + t169 = RATIONAL(1.0,4.0); + t168 = RATIONAL(-5.0,2.0); + t167 = RATIONAL(-3.0,4.0); + t166 = RATIONAL(3.0,2.0); + t165 = RATIONAL(2.0,1.0); + t164 = RATIONAL(-3.0,2.0); + t163 = RATIONAL(1.0,2.0); + t158 = RATIONAL(3.0,1.0); + t155 = RATIONAL(-3.0,1.0); + t153 = RATIONAL(9.0,2.0); + t152 = RATIONAL(-9.0,2.0); + t151 = t167*t173; + t150 = t161*t173; + t148 = t162*t173; + t147 = t169*x; + t146 = t169*t173; + t144 = x*t179; + t143 = t167*t188; + t139 = t167*t182; + t138 = t157*t188; + t137 = x*t185; + t135 = t173*t179; + t133 = RATIONAL(27.0,4.0)*t182; + coeff_dy_m1_m1 = t144+t135+t147+t146+(t164*t172+t170)*t174+(t165*t174- +t186)*y; + coeff_dy_0_m1 = RATIONAL(5.0,4.0)*t174+t151+t170+(t164+RATIONAL(15.0,4.0) +*t174)*t172+(t158*t173+t165)*y+t184; + coeff_dy_p1_m1 = t155*t180+t143+t150-t174+(t155*t173+x)*y+t176; + coeff_dy_p2_m1 = t148+t189+t139+(t179+t169-y)*t174; + coeff_dy_m1_0 = t153*t180+t138+t154*t177+t184; + coeff_dy_0_0 = t133+(RATIONAL(-45.0,4.0)*t174+t153)*t172+(t159+RATIONAL( +-15.0,2.0)*t173+RATIONAL(25.0,2.0)*t174)*y; + coeff_dy_p1_0 = t137+RATIONAL(9.0,1.0)*t180+(RATIONAL(15.0,2.0)*t173+t168 +*x)*y+t183; + coeff_dy_p2_0 = t168*t189+t157*t180+t178; + coeff_dy_m1_p1 = t148+t137+(t152*t172+t163)*t174+t171*t177+t176; + coeff_dy_0_p1 = t163+t150+RATIONAL(-5.0,4.0)*t174+(t152+RATIONAL(45.0,4.0 +)*t174)*t172+(RATIONAL(6.0,1.0)*t173+t156)*y+t183; + coeff_dy_p1_p1 = t151+RATIONAL(-9.0,1.0)*t180+t133+t147+t174+t138+( +RATIONAL(-6.0,1.0)*t173+RATIONAL(8.0,1.0)*t174+t165*x)*y; + coeff_dy_p2_p1 = t146+t165*t189+(t185+t162)*t174+t181; + coeff_dy_m1_p2 = t166*t180+t139+t143+(-t174+t186*t163)*y; + coeff_dy_0_p2 = t164*t189-y+(t166+RATIONAL(-15.0,4.0)*t174)*t172+t178; + coeff_dy_p1_p2 = t158*t180+t144+(t170*x+t166*t173)*y+t181; + coeff_dy_p2_p2 = t135+t167*t180+(t170*t173+t163*t174)*y; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order2/coeff-dyy.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order2/coeff-dyy.compute.c new file mode 100644 index 0000000..c1a4e13 --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order2/coeff-dyy.compute.c @@ -0,0 +1,106 @@ +fp t352, + t337, + t336, + t351, + t350, + t325, + t349, + t318, + t348, + t347, + t346, + t335, + t305, + t345, + t344, + t327, + t343, + t322, + t319, + t306, + t342, + t320, + t341, + t334, + t340, + t339, + t333, + t332, + t331, + t330, + t329, + t328, + t326, + t324, + t323, + t321, + t317, + t316, + t310, + t308, + t307, + t304, + t303, + t302; + t352 = x*y; + t337 = x*x; + t336 = t337*x; + t351 = x+t336; + t350 = y*t337; + t325 = RATIONAL(-3.0,2.0); + t349 = t325*y; + t318 = RATIONAL(-9.0,2.0); + t348 = y*t318; + t347 = y*t336; + t346 = RATIONAL(-10.0,1.0)*t337+RATIONAL(-27.0,2.0)*t347; + t335 = RATIONAL(-2.0,1.0); + t305 = t318*t347; + t345 = t335*t337+t305; + t344 = t325*t336; + t327 = RATIONAL(3.0,2.0); + t343 = t327*t336; + t322 = RATIONAL(4.0,1.0); + t319 = RATIONAL(9.0,2.0); + t306 = t319*t347; + t342 = t322*t337+t306; + t320 = RATIONAL(5.0,2.0); + t341 = t320*t337+t306; + t334 = RATIONAL(-5.0,1.0); + t340 = t305+t334*t337; + t339 = y*t344-t337; + t333 = RATIONAL(6.0,1.0); + t332 = RATIONAL(9.0,1.0); + t331 = RATIONAL(-6.0,1.0); + t330 = RATIONAL(-1.0,2.0); + t329 = RATIONAL(-9.0,1.0); + t328 = RATIONAL(-5.0,2.0); + t326 = RATIONAL(2.0,1.0); + t324 = RATIONAL(1.0,2.0); + t323 = RATIONAL(3.0,1.0); + t321 = RATIONAL(-3.0,1.0); + t317 = RATIONAL(-15.0,2.0); + t316 = RATIONAL(15.0,2.0); + t310 = x*t349; + t308 = x*t348; + t307 = t319*t352; + t304 = y*t343; + t303 = t327*t352; + t302 = RATIONAL(27.0,2.0)*t347; + coeff_dyy_m1_m1 = t303+t304+(t321*y+t326)*t337-t351; + coeff_dyy_0_m1 = t326+t323*t336+(t321+t316*t337)*y+t340; + coeff_dyy_p1_m1 = x+t310+t331*t350+t321*t336+t342; + coeff_dyy_p2_m1 = t327*t350+t336+t339; + coeff_dyy_m1_0 = t308+t332*t350+t351*t320+t340; + coeff_dyy_0_0 = t317*t336+t302+t334+RATIONAL(25.0,2.0)*t337+(t332+ +RATIONAL(-45.0,2.0)*t337)*y; + coeff_dyy_p1_0 = t328*x+t316*t336+RATIONAL(18.0,1.0)*t350+t307+t346; + coeff_dyy_p2_0 = t337*t348+t328*t336+t341; + coeff_dyy_m1_p1 = t329*t350+t307+t351*t335+t342; + coeff_dyy_0_p1 = t333*t336+t322+(RATIONAL(45.0,2.0)*t337+t329)*y+t346; + coeff_dyy_p1_p1 = t302+t331*t336+t308+t326*x+(RATIONAL(8.0,1.0)+RATIONAL( +-18.0,1.0)*y)*t337; + coeff_dyy_p2_p1 = t319*t350+t326*t336+t345; + coeff_dyy_m1_p2 = t323*t350+t310+t351*t324+t339; + coeff_dyy_0_p2 = t344+RATIONAL(-1.0,1.0)+(t323+t317*t337)*y+t341; + coeff_dyy_p1_p2 = t303+t330*x+t333*t350+t343+t345; + coeff_dyy_p2_p2 = t304+t330*t336+(t349+t324)*t337; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order3/coeff-I.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order3/coeff-I.compute.c new file mode 100644 index 0000000..c3036a7 --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order3/coeff-I.compute.c @@ -0,0 +1,341 @@ +fp t470, + t471, + t519, + t518, + t473, + t472, + t517, + t516, + t449, + t515, + t425, + t514, + t414, + t513, + t512, + t511, + t411, + t510, + t504, + t506, + t509, + t410, + t494, + t360, + t435, + t508, + t396, + t507, + t426, + t486, + t505, + t462, + t503, + t451, + t488, + t394, + t448, + t502, + t416, + t501, + t500, + t420, + t489, + t491, + t408, + t499, + t424, + t492, + t369, + t498, + t497, + t496, + t495, + t421, + t493, + t490, + t406, + t487, + t372, + t485, + t457, + t484, + t483, + t422, + t482, + t392, + t481, + t480, + t479, + t478, + t434, + t436, + t477, + t469, + t468, + t467, + t466, + t465, + t464, + t463, + t461, + t460, + t459, + t458, + t456, + t455, + t454, + t453, + t452, + t450, + t447, + t446, + t445, + t444, + t443, + t442, + t441, + t440, + t439, + t438, + t437, + t433, + t432, + t431, + t430, + t429, + t428, + t427, + t423, + t419, + t418, + t417, + t415, + t413, + t412, + t409, + t407, + t405, + t402, + t401, + t400, + t398, + t397, + t393, + t390, + t387, + t384, + t383, + t382, + t378, + t377, + t374, + t373, + t368, + t365, + t363, + t362, + t361, + t359, + t358, + t357, + t356, + t355, + t353; + t470 = y*y; + t471 = y*t470; + t519 = t471+y; + t518 = x*y; + t473 = x*x; + t472 = t473*x; + t517 = t472+x; + t516 = t472*y; + t449 = RATIONAL(1.0,18.0); + t515 = t449*y; + t425 = RATIONAL(-1.0,18.0); + t514 = t425*y; + t414 = RATIONAL(-1.0,144.0); + t513 = t414*x; + t512 = t449*x; + t511 = x*t471; + t411 = RATIONAL(1.0,144.0); + t510 = x*t411; + t504 = t470*t473; + t506 = t472*t471; + t509 = RATIONAL(-16.0,9.0)*t506+RATIONAL(-35.0,9.0)*t504; + t410 = RATIONAL(-7.0,144.0); + t494 = t410*t471; + t360 = t472*t494; + t435 = RATIONAL(-1.0,24.0); + t508 = t435*t504+t360; + t396 = RATIONAL(-7.0,9.0)*t506; + t507 = t396+RATIONAL(-35.0,12.0)*t504; + t426 = RATIONAL(-1.0,72.0); + t486 = t414*t472; + t505 = t426*t504+t471*t486; + t462 = RATIONAL(-1.0,9.0); + t503 = t462*t471; + t451 = RATIONAL(1.0,9.0); + t488 = t451*t472; + t394 = t471*t488; + t448 = RATIONAL(5.0,36.0); + t502 = t448*t504+t394; + t416 = RATIONAL(7.0,144.0); + t501 = t416*t471; + t500 = t451*t471; + t420 = RATIONAL(-7.0,36.0); + t489 = t420*t473; + t491 = t462*t472; + t408 = t471*t491; + t499 = t408+t470*t489; + t424 = RATIONAL(5.0,48.0); + t492 = t416*t472; + t369 = t471*t492; + t498 = t369+t424*t504; + t497 = t473*t471; + t496 = t472*t470; + t495 = t410*t472; + t421 = RATIONAL(7.0,18.0); + t493 = t421*t504+t394; + t490 = t472*t411; + t406 = RATIONAL(7.0,9.0)*t506; + t487 = RATIONAL(7.0,6.0)*t504+t406; + t372 = x*t514; + t485 = t360+t372+RATIONAL(-5.0,24.0)*t504; + t457 = RATIONAL(-5.0,6.0); + t484 = t457*t504+t396+t372; + t483 = RATIONAL(-4.0,9.0)*t518+RATIONAL(25.0,12.0)*t504+t406; + t422 = RATIONAL(1.0,12.0); + t482 = t422*t504+y*t513+t369; + t392 = y*t512; + t481 = RATIONAL(-5.0,18.0)*t504+t392+t408; + t480 = t392+RATIONAL(-49.0,144.0)*t506+RATIONAL(-5.0,8.0)*t504; + t479 = t517*t470; + t478 = t519*t473; + t434 = RATIONAL(-1.0,12.0); + t436 = RATIONAL(7.0,36.0); + t477 = t434+t436*t473; + t469 = RATIONAL(5.0,4.0); + t468 = RATIONAL(-2.0,9.0); + t467 = RATIONAL(-8.0,9.0); + t466 = RATIONAL(2.0,9.0); + t465 = RATIONAL(-2.0,3.0); + t464 = RATIONAL(-1.0,3.0); + t463 = RATIONAL(-5.0,3.0); + t461 = RATIONAL(5.0,6.0); + t460 = RATIONAL(8.0,9.0); + t459 = RATIONAL(1.0,3.0); + t458 = RATIONAL(-1.0,2.0); + t456 = RATIONAL(4.0,3.0); + t455 = RATIONAL(-7.0,3.0); + t454 = RATIONAL(-4.0,3.0); + t453 = RATIONAL(2.0,3.0); + t452 = RATIONAL(5.0,3.0); + t450 = RATIONAL(-1.0,6.0); + t447 = RATIONAL(-10.0,9.0); + t446 = RATIONAL(-7.0,18.0); + t445 = RATIONAL(7.0,24.0); + t444 = RATIONAL(-5.0,48.0); + t443 = RATIONAL(-5.0,36.0); + t442 = RATIONAL(-7.0,72.0); + t441 = RATIONAL(-28.0,9.0); + t440 = RATIONAL(20.0,9.0); + t439 = RATIONAL(-14.0,9.0); + t438 = RATIONAL(1.0,72.0); + t437 = RATIONAL(28.0,9.0); + t433 = RATIONAL(7.0,12.0); + t432 = RATIONAL(-7.0,12.0); + t431 = RATIONAL(14.0,9.0); + t430 = RATIONAL(10.0,9.0); + t429 = RATIONAL(-20.0,9.0); + t428 = RATIONAL(-7.0,24.0); + t427 = RATIONAL(1.0,24.0); + t423 = RATIONAL(7.0,72.0); + t419 = RATIONAL(-35.0,36.0); + t418 = RATIONAL(35.0,48.0); + t417 = RATIONAL(35.0,36.0); + t415 = RATIONAL(-49.0,36.0); + t413 = RATIONAL(-35.0,48.0); + t412 = RATIONAL(49.0,36.0); + t409 = y*t491; + t407 = t467*t516; + t405 = t460*t516; + t402 = x*t500; + t401 = t467*t511; + t400 = t460*t511; + t398 = x*t503; + t397 = RATIONAL(4.0,9.0)*t518; + t393 = y*t488; + t390 = t449*t511; + t387 = t446*t511; + t384 = t446*t516; + t383 = t472*t515; + t382 = RATIONAL(16.0,9.0)*t506; + t378 = t472*t514; + t377 = t421*t511; + t374 = t421*t516; + t373 = t425*t511; + t368 = y*t492; + t365 = t414*t511; + t363 = x*t501; + t362 = y*t486; + t361 = x*t494; + t359 = y*t495; + t358 = t471*t490; + t357 = y*t490; + t356 = t471*t510; + t355 = y*t510; + t353 = RATIONAL(49.0,144.0)*t506; + coeff_I_m2_m2 = t355+t356+t357+t358+RATIONAL(1.0,36.0)*t504+(t478+t479)* +t426; + coeff_I_m1_m2 = t359+t373+t424*t478+(t423*t472+t451*x)*t470+t485; + coeff_I_0_m2 = t393+(t450+t468*t472)*t470+t493+t519*(t422+t489); + coeff_I_p1_m2 = t390+t409+t448*t478+(t466*t472+t462*x)*t470+t481; + coeff_I_p2_m2 = t365+t368+t435*t478+(t442*t472+t438*x)*t470+t482; + coeff_I_p3_m2 = t362+t438*t496+t411*t478+t505; + coeff_I_m2_m1 = t361+t378+(t423*t471+t451*y)*t473+t424*t479+t485; + coeff_I_m1_m1 = t377+t397+t353+t374+(t457*y+t413*t471)*t473+(t457*x+ +RATIONAL(25.0,16.0)*t473+t413*t472)*t470; + coeff_I_0_m1 = t407+(t412*t473+t432)*t471+(t431*t473+t465)*y+(t452*t472+ +t469)*t470+t507; + coeff_I_p1_m1 = t405+t387+(t419*t471+t447*y)*t473+(t461*x+t463*t472)*t470 ++t483; + coeff_I_p2_m1 = t363+t384+(t445*t471+t459*y)*t473+(t418*t472+t444*x)*t470 ++t480; + coeff_I_p3_m1 = t444*t496+t383+(t514+t494)*t473+t498; + coeff_I_m2_0 = t402+t517*t422+(t450+t468*t471)*t473+t420*t479+t493; + coeff_I_m1_0 = t432*t472+t401+t465*x+(t452*t471+t469)*t473+(t412*t472+ +t431*x)*t470+t507; + coeff_I_0_0 = t455*t473+t456*t472+RATIONAL(1.0,1.0)+t382+(t456+t441*t473) +*t471+(RATIONAL(49.0,9.0)*t473+t455+t441*t472)*t470; + coeff_I_p1_0 = t453*x+t400+t454*t472+(t440*t471+t452)*t473+(t439*x+t437* +t472)*t470+t509; + coeff_I_p2_0 = t434*x+t398+t433*t472+(t465*t471+t458)*t473+(t415*t472+ +t436*x)*t470+t487; + coeff_I_p3_0 = (t422+t500)*t473+(t434+t436*t470)*t472+t499; + coeff_I_m2_p1 = t398+t383+(t466*t471+t462*y)*t473+t448*t479+t481; + coeff_I_m1_p1 = t384+t400+(t461*y+t463*t471)*t473+(t447*x+t419*t472)*t470 ++t483; + coeff_I_0_p1 = t405+(t454+t437*t473)*t471+(t453+t439*t473)*y+(t452+t440* +t472)*t470+t509; + coeff_I_p1_p1 = t382+t407+t397+t401+(t430*y+t429*t471)*t473+(t430*x+t429* +t472+RATIONAL(25.0,9.0)*t473)*t470; + coeff_I_p2_p1 = t374+t402+(t464*y+t453*t471)*t473+(t417*t472+t443*x)*t470 ++t484; + coeff_I_p3_p1 = t443*t496+t378+(t515+t503)*t473+t502; + coeff_I_m2_p2 = t363+t362+(t442*t471+t438*y)*t473+t435*t479+t482; + coeff_I_m1_p2 = t387+t368+(t418*t471+t444*y)*t473+(t459*x+t445*t472)*t470 ++t480; + coeff_I_0_p2 = t409+(t415*t473+t433)*t471+t477*y+(t458+t465*t472)*t470+ +t487; + coeff_I_p1_p2 = t377+t393+(t417*t471+t443*y)*t473+(t464*x+t453*t472)*t470 ++t484; + coeff_I_p2_p2 = t359+t355+t353+t361+(t428*t471+t427*y)*t473+(t427*x+t428* +t472+RATIONAL(1.0,4.0)*t473)*t470; + coeff_I_p3_p2 = t427*t496+t357+(t414*y+t501)*t473+t508; + coeff_I_m2_p3 = t365+t438*t497+t411*t479+t505; + coeff_I_m1_p3 = t390+t444*t497+(t425*x+t495)*t470+t498; + coeff_I_0_p3 = t477*t471+(t488+t422)*t470+t499; + coeff_I_p1_p3 = t373+t443*t497+(t512+t491)*t470+t502; + coeff_I_p2_p3 = t427*t497+t356+(t513+t492)*t470+t508; + coeff_I_p3_p3 = t358+t411*t504+(t496+t497)*t414; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order3/coeff-dx.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order3/coeff-dx.compute.c new file mode 100644 index 0000000..034e400 --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order3/coeff-dx.compute.c @@ -0,0 +1,275 @@ +fp t620, + t649, + t618, + t648, + t619, + t647, + t646, + t598, + t639, + t535, + t645, + t593, + t644, + t610, + t640, + t553, + t583, + t643, + t642, + t641, + t638, + t637, + t636, + t587, + t566, + t546, + t635, + t634, + t584, + t633, + t602, + t614, + t631, + t556, + t632, + t605, + t545, + t630, + t582, + t530, + t629, + t628, + t611, + t627, + t604, + t568, + t626, + t591, + t570, + t586, + t625, + t606, + t578, + t624, + t613, + t623, + t622, + t617, + t616, + t615, + t612, + t609, + t608, + t607, + t603, + t601, + t600, + t599, + t597, + t596, + t595, + t594, + t592, + t590, + t589, + t585, + t579, + t577, + t576, + t575, + t573, + t572, + t571, + t569, + t567, + t565, + t564, + t563, + t561, + t560, + t559, + t555, + t554, + t551, + t548, + t547, + t544, + t543, + t541, + t537, + t536, + t531, + t529, + t528, + t524, + t521; + t620 = x*x; + t649 = y*t620; + t618 = y*y; + t648 = x*t618; + t619 = t618*y; + t647 = x*t619; + t646 = t619+y; + t598 = RATIONAL(-1.0,12.0); + t639 = RATIONAL(-7.0,48.0)*t620; + t535 = t619*t639; + t645 = t535+t598*t648; + t593 = RATIONAL(1.0,48.0); + t644 = t593*t620; + t610 = RATIONAL(1.0,3.0); + t640 = t610*t620; + t553 = t619*t640; + t583 = RATIONAL(5.0,18.0); + t643 = t553+t583*t648; + t642 = t620*t619; + t641 = t618*t620; + t638 = RATIONAL(-16.0,3.0)*t642+RATIONAL(-70.0,9.0)*t648; + t637 = RATIONAL(7.0,9.0)*t648+t553; + t636 = RATIONAL(-1.0,48.0)*t620; + t587 = RATIONAL(7.0,18.0); + t566 = t587*t619; + t546 = RATIONAL(-7.0,3.0)*t642; + t635 = t546+RATIONAL(-35.0,6.0)*t648; + t634 = RATIONAL(7.0,48.0)*t620; + t584 = RATIONAL(-1.0,36.0); + t633 = t619*t636+t584*t648; + t602 = RATIONAL(-7.0,18.0); + t614 = RATIONAL(-1.0,3.0); + t631 = t614*t620; + t556 = t619*t631; + t632 = t556+t602*t648; + t605 = RATIONAL(7.0,3.0); + t545 = t605*t642; + t630 = t605*t648+t545; + t582 = RATIONAL(5.0,24.0); + t530 = t619*t634; + t629 = t582*t648+t530; + t628 = x*t646; + t611 = RATIONAL(-4.0,9.0); + t627 = RATIONAL(25.0,6.0)*t648+t545+t611*y; + t604 = RATIONAL(1.0,18.0); + t568 = t604*y; + t626 = t556+RATIONAL(-5.0,9.0)*t648+t568; + t591 = RATIONAL(-1.0,18.0); + t570 = t591*y; + t586 = RATIONAL(-5.0,12.0); + t625 = t570+t535+t586*t648; + t606 = RATIONAL(1.0,6.0); + t578 = RATIONAL(-1.0,144.0); + t624 = t578*y+t530+t606*t648; + t613 = RATIONAL(-5.0,3.0); + t623 = t613*t648+t546+t570; + t622 = RATIONAL(-49.0,48.0)*t642+RATIONAL(-5.0,4.0)*t648+t568; + t617 = RATIONAL(-2.0,9.0); + t616 = RATIONAL(2.0,9.0); + t615 = RATIONAL(-2.0,3.0); + t612 = RATIONAL(-1.0,9.0); + t609 = RATIONAL(2.0,3.0); + t608 = RATIONAL(4.0,9.0); + t607 = RATIONAL(1.0,9.0); + t603 = RATIONAL(-5.0,18.0); + t601 = RATIONAL(1.0,72.0); + t600 = RATIONAL(7.0,36.0); + t599 = RATIONAL(-1.0,24.0); + t597 = RATIONAL(7.0,12.0); + t596 = RATIONAL(-7.0,12.0); + t595 = RATIONAL(1.0,24.0); + t594 = RATIONAL(-1.0,72.0); + t592 = RATIONAL(1.0,36.0); + t590 = RATIONAL(-5.0,24.0); + t589 = RATIONAL(1.0,12.0); + t585 = RATIONAL(-7.0,36.0); + t579 = RATIONAL(10.0,3.0); + t577 = RATIONAL(1.0,144.0); + t576 = t612*t619; + t575 = t608*y; + t573 = t607*t619; + t572 = RATIONAL(-8.0,9.0)*t619; + t571 = RATIONAL(8.0,9.0)*t619; + t569 = t591*t619; + t567 = t604*t619; + t565 = t602*t619; + t564 = t577*t619; + t563 = t577*y; + t561 = t578*t619; + t560 = RATIONAL(-7.0,144.0)*t619; + t559 = RATIONAL(7.0,144.0)*t619; + t555 = y*t631; + t554 = y*t640; + t551 = RATIONAL(-1.0,6.0)*t649; + t548 = RATIONAL(7.0,6.0)*t649; + t547 = RATIONAL(-8.0,3.0)*t649; + t544 = RATIONAL(8.0,3.0)*t649; + t543 = RATIONAL(-7.0,6.0)*t649; + t541 = t606*t649; + t537 = y*t636; + t536 = y*t639; + t531 = y*t634; + t529 = t593*t642; + t528 = y*t644; + t524 = RATIONAL(16.0,3.0)*t642; + t521 = RATIONAL(49.0,48.0)*t642; + coeff_dx_m2_m2 = t529+t564+t528+t563+(t599*t620+t594)*t618+(t604*t618+ +t646*t584)*x; + coeff_dx_m1_m2 = t569+t536+(t607+RATIONAL(7.0,24.0)*t620)*t618+t582*t628+ +t625; + coeff_dx_0_m2 = t615*t641+t554+t602*t628+t637; + coeff_dx_p1_m2 = t555+t567+(t612+t609*t620)*t618+t583*t628+t626; + coeff_dx_p2_m2 = t561+t531+(t601+RATIONAL(-7.0,24.0)*t620)*t618+t598*t628 ++t624; + coeff_dx_p3_m2 = t537+t595*t641+t601*t628+t633; + coeff_dx_m2_m1 = t551+t560+(RATIONAL(5.0,48.0)+RATIONAL(5.0,16.0)*t620)* +t618+(t600*t619+t616*y)*x+t625; + coeff_dx_m1_m1 = t548+t575+t566+t521+(RATIONAL(-35.0,16.0)*t620+RATIONAL( +-5.0,6.0))*t618+(t613*y+RATIONAL(25.0,8.0)*t618+RATIONAL(-35.0,24.0)*t619)*x; + coeff_dx_0_m1 = t547+RATIONAL(5.0,1.0)*t641+(RATIONAL(28.0,9.0)*y+ +RATIONAL(49.0,18.0)*t619)*x+t635; + coeff_dx_p1_m1 = t565+t544+(RATIONAL(-5.0,1.0)*t620+RATIONAL(5.0,6.0))* +t618+(RATIONAL(-35.0,18.0)*t619+RATIONAL(-20.0,9.0)*y)*x+t627; + coeff_dx_p2_m1 = t543+t559+(RATIONAL(35.0,16.0)*t620+RATIONAL(-5.0,48.0)) +*t618+(t597*t619+t609*y)*x+t622; + coeff_dx_p3_m1 = t541+RATIONAL(-5.0,16.0)*t641+(RATIONAL(-7.0,72.0)*t619+ +t612*y)*x+t629; + coeff_dx_m2_0 = t589+t573+RATIONAL(1.0,4.0)*t620+(t585+t596*t620)*t618+( +t614+t611*t619)*x+t637; + coeff_dx_m1_0 = RATIONAL(-7.0,4.0)*t620+t615+t572+(RATIONAL(14.0,9.0)+ +RATIONAL(49.0,12.0)*t620)*t618+(t579*t619+RATIONAL(5.0,2.0))*x+t635; + coeff_dx_0_0 = t524+(RATIONAL(-28.0,3.0)*t618+RATIONAL(4.0,1.0))*t620+( +RATIONAL(-14.0,3.0)+RATIONAL(98.0,9.0)*t618+RATIONAL(-56.0,9.0)*t619)*x; + coeff_dx_p1_0 = RATIONAL(-4.0,1.0)*t620+t571+t609+(RATIONAL(28.0,3.0)* +t620+RATIONAL(-14.0,9.0))*t618+(t579+RATIONAL(40.0,9.0)*t619)*x+t638; + coeff_dx_p2_0 = t598+RATIONAL(-4.0,3.0)*t647-x+t576+RATIONAL(7.0,4.0)* +t620+(RATIONAL(-49.0,12.0)*t620+t600)*t618+t630; + coeff_dx_p3_0 = (t597*t618+RATIONAL(-1.0,4.0))*t620+(t616*t619+t606)*x+ +t632; + coeff_dx_m2_p1 = t576+t541+(RATIONAL(5.0,12.0)*t620+RATIONAL(5.0,36.0))* +t618+(t617*y+t608*t619)*x+t626; + coeff_dx_m1_p1 = t571+t543+(RATIONAL(-10.0,9.0)+RATIONAL(-35.0,12.0)*t620 +)*t618+(RATIONAL(-10.0,3.0)*t619+RATIONAL(5.0,3.0)*y)*x+t627; + coeff_dx_0_p1 = t544+RATIONAL(20.0,3.0)*t641+(RATIONAL(56.0,9.0)*t619+ +RATIONAL(-28.0,9.0)*y)*x+t638; + coeff_dx_p1_p1 = t575+t547+t572+t524+(RATIONAL(-20.0,3.0)*t620+RATIONAL( +10.0,9.0))*t618+(RATIONAL(50.0,9.0)*t618+RATIONAL(20.0,9.0)*y+RATIONAL(-40.0, +9.0)*t619)*x; + coeff_dx_p2_p1 = t548+t573+(RATIONAL(-5.0,36.0)+RATIONAL(35.0,12.0)*t620) +*t618+(RATIONAL(4.0,3.0)*t619+t615*y)*x+t623; + coeff_dx_p3_p1 = t551+t586*t641+(t607*y+t617*t619)*x+t643; + coeff_dx_m2_p2 = t537+t559+(RATIONAL(-1.0,8.0)*t620+t599)*t618+(t592*y+ +t585*t619)*x+t624; + coeff_dx_m1_p2 = t565+t531+(RATIONAL(7.0,8.0)*t620+t610)*t618+(RATIONAL( +35.0,24.0)*t619+t590*y)*x+t622; + coeff_dx_0_p2 = t555+RATIONAL(-2.0,1.0)*t641+(RATIONAL(-49.0,18.0)*t619+ +t587*y)*x+t630; + coeff_dx_p1_p2 = t554+t566+(RATIONAL(2.0,1.0)*t620+t614)*t618+(t603*y+ +RATIONAL(35.0,18.0)*t619)*x+t623; + coeff_dx_p2_p2 = t563+t521+t536+t560+(RATIONAL(-7.0,8.0)*t620+t595)*t618+ +(t596*t619+t589*y+RATIONAL(1.0,2.0)*t618)*x; + coeff_dx_p3_p2 = t528+RATIONAL(1.0,8.0)*t641+(t594*y+RATIONAL(7.0,72.0)* +t619)*x+t645; + coeff_dx_m2_p3 = t592*t647+t561+(t644+t577)*t618+t633; + coeff_dx_m1_p3 = t590*t647+t567+(t639+t591)*t618+t629; + coeff_dx_0_p3 = x*t566+t618*t640+t632; + coeff_dx_p1_p3 = t603*t647+t569+(t604+t631)*t618+t643; + coeff_dx_p2_p3 = t564+t589*t647+(t634+t578)*t618+t645; + coeff_dx_p3_p3 = t529+t618*t636+(t594*t619+t601*t618)*x; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order3/coeff-dxx.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order3/coeff-dxx.compute.c new file mode 100644 index 0000000..6ee2c84 --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order3/coeff-dxx.compute.c @@ -0,0 +1,218 @@ +fp t878, + t835, + t877, + t851, + t876, + t842, + t875, + t852, + t874, + t837, + t873, + t848, + t872, + t830, + t871, + t831, + t870, + t869, + t841, + t794, + t868, + t799, + t867, + t822, + t866, + t789, + t840, + t865, + t864, + t824, + t863, + t805, + t796, + t862, + t861, + t783, + t860, + t819, + t791, + t859, + t838, + t858, + t823, + t857, + t834, + t856, + t846, + t855, + t854, + t850, + t849, + t847, + t845, + t844, + t843, + t839, + t836, + t833, + t832, + t829, + t828, + t827, + t826, + t825, + t820, + t803, + t802, + t801, + t800, + t798, + t797, + t795, + t793, + t790, + t788, + t787, + t786, + t785, + t784, + t781; + t878 = x*y; + t835 = RATIONAL(-1.0,24.0); + t877 = t835*x; + t851 = y*y; + t876 = x*t851; + t842 = RATIONAL(2.0,3.0); + t875 = t842*y; + t852 = t851*y; + t874 = t852+y; + t837 = RATIONAL(7.0,24.0); + t873 = x*t837; + t848 = RATIONAL(-2.0,3.0); + t872 = x*t848; + t830 = RATIONAL(1.0,24.0); + t871 = x*t830; + t831 = RATIONAL(-7.0,24.0); + t870 = x*t831; + t869 = x*t852; + t841 = RATIONAL(1.0,6.0); + t794 = t837*t869; + t868 = t794+t841*t851; + t799 = t842*t869; + t867 = t799+RATIONAL(7.0,9.0)*t851; + t822 = RATIONAL(5.0,24.0); + t866 = t794+t822*t851; + t789 = RATIONAL(14.0,3.0)*t869; + t840 = RATIONAL(7.0,3.0); + t865 = t789+t840*t851; + t864 = RATIONAL(-49.0,24.0)*t869+RATIONAL(-5.0,4.0)*t851; + t824 = RATIONAL(-1.0,36.0); + t863 = t835*t869+t824*t851; + t805 = RATIONAL(-35.0,6.0)*t851; + t796 = t848*t869; + t862 = t796+RATIONAL(-5.0,9.0)*t851; + t861 = RATIONAL(-32.0,3.0)*t869+RATIONAL(-70.0,9.0)*t851; + t783 = t831*t869; + t860 = t783+RATIONAL(-5.0,12.0)*t851; + t819 = RATIONAL(-14.0,3.0); + t791 = t819*t869; + t859 = t791+t805; + t838 = RATIONAL(-7.0,18.0); + t858 = t796+t838*t851; + t823 = RATIONAL(5.0,18.0); + t857 = t799+t823*t851; + t834 = RATIONAL(-1.0,12.0); + t856 = t783+t834*t851; + t846 = RATIONAL(-5.0,3.0); + t855 = t791+t846*t851; + t854 = t789+RATIONAL(25.0,6.0)*t851; + t850 = RATIONAL(-2.0,9.0); + t849 = RATIONAL(2.0,9.0); + t847 = RATIONAL(-1.0,3.0); + t845 = RATIONAL(1.0,2.0); + t844 = RATIONAL(4.0,3.0); + t843 = RATIONAL(-4.0,3.0); + t839 = RATIONAL(-5.0,18.0); + t836 = RATIONAL(1.0,72.0); + t833 = RATIONAL(7.0,12.0); + t832 = RATIONAL(-7.0,12.0); + t829 = RATIONAL(-1.0,72.0); + t828 = RATIONAL(1.0,36.0); + t827 = RATIONAL(-5.0,24.0); + t826 = RATIONAL(1.0,12.0); + t825 = RATIONAL(7.0,18.0); + t820 = RATIONAL(10.0,3.0); + t803 = t847*t878; + t802 = t840*t878; + t801 = RATIONAL(-7.0,3.0)*t878; + t800 = RATIONAL(1.0,3.0)*t878; + t798 = x*t875; + t797 = y*t872; + t795 = y*t873; + t793 = y*t877; + t790 = RATIONAL(-16.0,3.0)*t878; + t788 = RATIONAL(16.0,3.0)*t878; + t787 = RATIONAL(32.0,3.0)*t869; + t786 = t830*t869; + t785 = y*t870; + t784 = y*t871; + t781 = RATIONAL(49.0,24.0)*t869; + coeff_dxx_m2_m2 = t786+t784+t874*t824+(RATIONAL(1.0,18.0)+t834*x)*t851; + coeff_dxx_m1_m2 = t833*t876+t785+t874*t822+t860; + coeff_dxx_0_m2 = t798+t843*t876+t874*t838+t867; + coeff_dxx_p1_m2 = t844*t876+t797+t874*t823+t862; + coeff_dxx_p2_m2 = t832*t876+t795+t874*t834+t868; + coeff_dxx_p3_m2 = t826*t876+t793+t874*t836+t863; + coeff_dxx_m2_m1 = t803+RATIONAL(5.0,8.0)*t876+t849*y+RATIONAL(7.0,36.0)* +t852+t860; + coeff_dxx_m1_m1 = t802+t846*y+RATIONAL(-35.0,24.0)*t852+t781+(RATIONAL( +25.0,8.0)+RATIONAL(-35.0,8.0)*x)*t851; + coeff_dxx_0_m1 = RATIONAL(49.0,18.0)*t852+t790+RATIONAL(28.0,9.0)*y+ +RATIONAL(10.0,1.0)*t876+t859; + coeff_dxx_p1_m1 = RATIONAL(-35.0,18.0)*t852+RATIONAL(-20.0,9.0)*y+ +RATIONAL(-10.0,1.0)*t876+t788+t854; + coeff_dxx_p2_m1 = t801+t833*t852+t875+RATIONAL(35.0,8.0)*t876+t864; + coeff_dxx_p3_m1 = t800+RATIONAL(-7.0,72.0)*t852+RATIONAL(-1.0,9.0)*y+ +RATIONAL(-5.0,8.0)*t876+t866; + coeff_dxx_m2_0 = t847+RATIONAL(-4.0,9.0)*t852+(t845+RATIONAL(-7.0,6.0)* +t851)*x+t867; + coeff_dxx_m1_0 = t820*t852+RATIONAL(5.0,2.0)+(RATIONAL(49.0,6.0)*t851+ +RATIONAL(-7.0,2.0))*x+t859; + coeff_dxx_0_0 = t819+t787+RATIONAL(98.0,9.0)*t851+RATIONAL(-56.0,9.0)* +t852+(RATIONAL(8.0,1.0)+RATIONAL(-56.0,3.0)*t851)*x; + coeff_dxx_p1_0 = t820+RATIONAL(40.0,9.0)*t852+(RATIONAL(-8.0,1.0)+ +RATIONAL(56.0,3.0)*t851)*x+t861; + coeff_dxx_p2_0 = RATIONAL(-1.0,1.0)+t843*t852+(RATIONAL(-49.0,6.0)*t851+ +RATIONAL(7.0,2.0))*x+t865; + coeff_dxx_p3_0 = t841+t849*t852+(RATIONAL(-1.0,2.0)+RATIONAL(7.0,6.0)* +t851)*x+t858; + coeff_dxx_m2_p1 = t800+RATIONAL(4.0,9.0)*t852+RATIONAL(5.0,6.0)*t876+t850 +*y+t862; + coeff_dxx_m1_p1 = t801+RATIONAL(-10.0,3.0)*t852+RATIONAL(5.0,3.0)*y+x* +t805+t854; + coeff_dxx_0_p1 = RATIONAL(-28.0,9.0)*y+RATIONAL(40.0,3.0)*t876+t788+ +RATIONAL(56.0,9.0)*t852+t861; + coeff_dxx_p1_p1 = RATIONAL(20.0,9.0)*y+t790+RATIONAL(-40.0,9.0)*t852+t787 ++(RATIONAL(-40.0,3.0)*x+RATIONAL(50.0,9.0))*t851; + coeff_dxx_p2_p1 = RATIONAL(35.0,6.0)*t876+t802+t844*t852+t848*y+t855; + coeff_dxx_p3_p1 = t803+RATIONAL(-5.0,6.0)*t876+RATIONAL(1.0,9.0)*y+t850* +t852+t857; + coeff_dxx_m2_p2 = t793+RATIONAL(-1.0,4.0)*t876+RATIONAL(-7.0,36.0)*t852+ +t828*y+t868; + coeff_dxx_m1_p2 = t827*y+t795+RATIONAL(7.0,4.0)*t876+RATIONAL(35.0,24.0)* +t852+t864; + coeff_dxx_0_p2 = RATIONAL(-4.0,1.0)*t876+t825*y+RATIONAL(-49.0,18.0)*t852 ++t797+t865; + coeff_dxx_p1_p2 = t839*y+t798+RATIONAL(35.0,18.0)*t852+RATIONAL(4.0,1.0)* +t876+t855; + coeff_dxx_p2_p2 = t832*t852+t826*y+t785+t781+(RATIONAL(-7.0,4.0)*x+t845)* +t851; + coeff_dxx_p3_p2 = t784+RATIONAL(1.0,4.0)*t876+RATIONAL(7.0,72.0)*t852+ +t829*y+t856; + coeff_dxx_m2_p3 = t851*t871+t828*t852+t863; + coeff_dxx_m1_p3 = t851*t870+t827*t852+t866; + coeff_dxx_0_p3 = t825*t852+t842*t876+t858; + coeff_dxx_p1_p3 = t839*t852+t851*t872+t857; + coeff_dxx_p2_p3 = t826*t852+t851*t873+t856; + coeff_dxx_p3_p3 = t829*t852+t786+(t877+t836)*t851; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order3/coeff-dxy.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order3/coeff-dxy.compute.c new file mode 100644 index 0000000..84daf78 --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order3/coeff-dxy.compute.c @@ -0,0 +1,296 @@ +fp t1020, + t1001, + t1019, + t1002, + t1018, + t1000, + t889, + t977, + t1017, + t898, + t1016, + t888, + t1015, + t942, + t1014, + t1013, + t897, + t1012, + t980, + t918, + t974, + t915, + t917, + t913, + t1011, + t1010, + t1009, + t969, + t1008, + t986, + t1007, + t989, + t1006, + t1005, + t1004, + t1003, + t999, + t998, + t997, + t996, + t995, + t994, + t993, + t992, + t990, + t988, + t987, + t985, + t984, + t983, + t982, + t981, + t979, + t978, + t976, + t975, + t973, + t972, + t971, + t970, + t968, + t967, + t966, + t965, + t964, + t963, + t962, + t961, + t960, + t959, + t958, + t957, + t956, + t955, + t954, + t953, + t952, + t951, + t950, + t949, + t948, + t947, + t946, + t945, + t944, + t943, + t941, + t940, + t939, + t938, + t937, + t936, + t935, + t934, + t933, + t932, + t931, + t930, + t929, + t927, + t926, + t925, + t924, + t923, + t922, + t921, + t920, + t919, + t916, + t914, + t912, + t911, + t910, + t909, + t908, + t907, + t906, + t905, + t904, + t895, + t885, + t880; + t1020 = x*y; + t1001 = y*y; + t1019 = x*t1001; + t1002 = x*x; + t1018 = t1002*y; + t1000 = t1002*t1001; + t889 = RATIONAL(-7.0,16.0)*t1000; + t977 = RATIONAL(-1.0,6.0); + t1017 = t889+t977*t1020; + t898 = RATIONAL(-7.0,1.0)*t1000; + t1016 = RATIONAL(-35.0,3.0)*t1020+t898; + t888 = RATIONAL(7.0,16.0)*t1000; + t1015 = t888+RATIONAL(5.0,12.0)*t1020; + t942 = RATIONAL(-1.0,18.0); + t1014 = t942*t1020+RATIONAL(-1.0,16.0)*t1000; + t1013 = RATIONAL(-16.0,1.0)*t1000+RATIONAL(-140.0,9.0)*t1020; + t897 = RATIONAL(7.0,1.0)*t1000; + t1012 = RATIONAL(14.0,3.0)*t1020+t897; + t980 = RATIONAL(7.0,6.0); + t918 = t980*t1001; + t974 = RATIONAL(-7.0,6.0); + t915 = t974*t1001; + t917 = t980*t1002; + t913 = t974*t1002; + t1011 = -t1000+RATIONAL(-7.0,9.0)*t1020; + t1010 = RATIONAL(14.0,9.0)*t1020+t1000; + t1009 = t1000+RATIONAL(5.0,9.0)*t1020; + t969 = RATIONAL(1.0,18.0); + t1008 = RATIONAL(-5.0,2.0)*t1020+t969+RATIONAL(-49.0,16.0)*t1000; + t986 = RATIONAL(-5.0,6.0); + t1007 = t889+t942+t986*t1020; + t989 = RATIONAL(1.0,3.0); + t1006 = RATIONAL(-1.0,144.0)+t888+t989*t1020; + t1005 = RATIONAL(25.0,3.0)*t1020+RATIONAL(-4.0,9.0)+t897; + t1004 = t942+RATIONAL(-10.0,3.0)*t1020+t898; + t1003 = -t1000+RATIONAL(-10.0,9.0)*t1020+t969; + t999 = RATIONAL(-2.0,9.0); + t998 = RATIONAL(1.0,4.0); + t997 = RATIONAL(2.0,9.0); + t996 = RATIONAL(-2.0,3.0); + t995 = RATIONAL(-1.0,3.0); + t994 = RATIONAL(-5.0,3.0); + t993 = RATIONAL(-1.0,9.0); + t992 = RATIONAL(5.0,6.0); + t990 = RATIONAL(7.0,4.0); + t988 = RATIONAL(5.0,8.0); + t987 = RATIONAL(-1.0,4.0); + t985 = RATIONAL(4.0,3.0); + t984 = RATIONAL(-5.0,8.0); + t983 = RATIONAL(-4.0,3.0); + t982 = RATIONAL(2.0,3.0); + t981 = RATIONAL(4.0,9.0); + t979 = RATIONAL(5.0,3.0); + t978 = RATIONAL(1.0,9.0); + t976 = RATIONAL(1.0,6.0); + t975 = RATIONAL(-8.0,3.0); + t973 = RATIONAL(8.0,3.0); + t972 = RATIONAL(-7.0,4.0); + t971 = RATIONAL(4.0,1.0); + t970 = RATIONAL(-4.0,1.0); + t968 = RATIONAL(10.0,1.0); + t967 = RATIONAL(-49.0,6.0); + t966 = RATIONAL(-10.0,1.0); + t965 = RATIONAL(-5.0,18.0); + t964 = RATIONAL(-7.0,18.0); + t963 = RATIONAL(7.0,24.0); + t962 = RATIONAL(40.0,3.0); + t961 = RATIONAL(35.0,8.0); + t960 = RATIONAL(35.0,6.0); + t959 = RATIONAL(-40.0,3.0); + t958 = RATIONAL(-28.0,9.0); + t957 = RATIONAL(20.0,9.0); + t956 = RATIONAL(1.0,72.0); + t955 = RATIONAL(28.0,9.0); + t954 = RATIONAL(-1.0,24.0); + t953 = RATIONAL(-1.0,12.0); + t952 = RATIONAL(7.0,12.0); + t951 = RATIONAL(49.0,6.0); + t950 = RATIONAL(-7.0,12.0); + t949 = RATIONAL(-35.0,8.0); + t948 = RATIONAL(-20.0,9.0); + t947 = RATIONAL(-56.0,3.0); + t946 = RATIONAL(-7.0,24.0); + t945 = RATIONAL(1.0,24.0); + t944 = RATIONAL(1.0,48.0); + t943 = RATIONAL(-1.0,72.0); + t941 = RATIONAL(1.0,36.0); + t940 = RATIONAL(-7.0,48.0); + t939 = RATIONAL(-5.0,24.0); + t938 = RATIONAL(1.0,12.0); + t937 = RATIONAL(7.0,18.0); + t936 = RATIONAL(-1.0,36.0); + t935 = RATIONAL(-1.0,48.0); + t934 = RATIONAL(5.0,18.0); + t933 = RATIONAL(5.0,24.0); + t932 = RATIONAL(7.0,48.0); + t931 = RATIONAL(56.0,3.0); + t930 = RATIONAL(-35.0,6.0); + t929 = RATIONAL(1.0,144.0); + t927 = t989*t1001; + t926 = t975*t1001; + t925 = t973*t1001; + t924 = t995*t1001; + t923 = t977*t1001; + t922 = t995*t1002; + t921 = t976*t1001; + t920 = t989*t1002; + t919 = t977*t1002; + t916 = t975*t1002; + t914 = t973*t1002; + t912 = t976*t1002; + t911 = t944*t1002; + t910 = t944*t1001; + t909 = t940*t1002; + t908 = t935*t1001; + t907 = t932*t1002; + t906 = t940*t1001; + t905 = t935*t1002; + t904 = t932*t1001; + t895 = RATIONAL(16.0,1.0)*t1000; + t885 = RATIONAL(1.0,16.0)*t1000; + t880 = RATIONAL(49.0,16.0)*t1000; + coeff_dxy_m2_m2 = t885+t929+t911+t910+(t953*t1002+t936)*y+(t978*y+t953* +t1001+t936)*x; + coeff_dxy_m1_m2 = t923+t909+(t952*t1002+t997)*y+(t933+t988*t1001)*x+t1007 +; + coeff_dxy_0_m2 = t983*t1018+t920+(t915+t964)*x+t1010; + coeff_dxy_p1_m2 = t921+t922+(t999+t985*t1002)*y+(t934+t992*t1001)*x+t1003 +; + coeff_dxy_p2_m2 = t907+t908+(t950*t1002+t941)*y+(t953+t987*t1001)*x+t1006 +; + coeff_dxy_p3_m2 = t938*t1018+t905+(t956+t945*t1001)*x+t1014; + coeff_dxy_m2_m1 = t919+t906+(t988*t1002+t933)*y+(t952*t1001+t997)*x+t1007 +; + coeff_dxy_m1_m1 = t981+t880+t918+t917+(t949*t1002+t994)*y+(RATIONAL(25.0, +4.0)*y+t994+t949*t1001)*x; + coeff_dxy_0_m1 = t916+t968*t1018+(t951*t1001+t955)*x+t1016; + coeff_dxy_p1_m1 = t915+t914+(t979+t966*t1002)*y+(t930*t1001+t948)*x+t1005 +; + coeff_dxy_p2_m1 = t913+t904+(t939+t961*t1002)*y+(t990*t1001+t982)*x+t1008 +; + coeff_dxy_p3_m1 = t984*t1018+t912+(t993+t946*t1001)*x+t1015; + coeff_dxy_m2_0 = t927+t983*t1019+(t913+t964)*y+t1010; + coeff_dxy_m1_0 = t968*t1019+t926+(t951*t1002+t955)*y+t1016; + coeff_dxy_0_0 = t947*t1018+t895+(t947*t1001+RATIONAL(196.0,9.0)*y)*x; + coeff_dxy_p1_0 = t962*t1019+t925+(t931*t1002+t958)*y+t1013; + coeff_dxy_p2_0 = t924+t970*t1019+(t937+t967*t1002)*y+t1012; + coeff_dxy_p3_0 = y*t917+t982*t1019+t1011; + coeff_dxy_m2_p1 = t924+t912+(t992*t1002+t934)*y+(t999+t985*t1001)*x+t1003 +; + coeff_dxy_m1_p1 = t913+t925+(t948+t930*t1002)*y+(t966*t1001+t979)*x+t1005 +; + coeff_dxy_0_p1 = t962*t1018+t914+(t931*t1001+t958)*x+t1013; + coeff_dxy_p1_p1 = t895+t916+t926+t981+(t957+t959*t1002)*y+(t957+RATIONAL( +100.0,9.0)*y+t959*t1001)*x; + coeff_dxy_p2_p1 = t917+t927+(t960*t1002+t965)*y+(t971*t1001+t996)*x+t1004 +; + coeff_dxy_p3_p1 = t986*t1018+t919+(t996*t1001+t978)*x+t1009; + coeff_dxy_m2_p2 = t904+t905+(t987*t1002+t953)*y+(t950*t1001+t941)*x+t1006 +; + coeff_dxy_m1_p2 = t907+t915+(t982+t990*t1002)*y+(t939+t961*t1001)*x+t1008 +; + coeff_dxy_0_p2 = t970*t1018+t922+(t967*t1001+t937)*x+t1012; + coeff_dxy_p1_p2 = t918+t920+(t971*t1002+t996)*y+(t965+t960*t1001)*x+t1004 +; + coeff_dxy_p2_p2 = t906+t929+t909+t880+(t938+t972*t1002)*y+(t972*t1001+y+ +t938)*x; + coeff_dxy_p3_p2 = t911+t998*t1018+(t963*t1001+t943)*x+t1017; + coeff_dxy_m2_p3 = t908+t938*t1019+(t956+t945*t1002)*y+t1014; + coeff_dxy_m1_p3 = t984*t1019+t921+(t993+t946*t1002)*y+t1015; + coeff_dxy_0_p3 = x*t918+t982*t1018+t1011; + coeff_dxy_p1_p3 = t923+t986*t1019+(t996*t1002+t978)*y+t1009; + coeff_dxy_p2_p3 = t910+t998*t1019+(t963*t1002+t943)*y+t1017; + coeff_dxy_p3_p3 = t885+t954*t1018+(t954*t1001+t941*y)*x; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order3/coeff-dy.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order3/coeff-dy.compute.c new file mode 100644 index 0000000..31e4695 --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order3/coeff-dy.compute.c @@ -0,0 +1,277 @@ +fp t750, + t779, + t748, + t778, + t749, + t777, + t776, + t775, + t740, + t761, + t688, + t713, + t774, + t711, + t773, + t744, + t759, + t687, + t732, + t772, + t718, + t771, + t735, + t677, + t770, + t680, + t769, + t717, + t698, + t768, + t767, + t670, + t728, + t766, + t765, + t710, + t714, + t764, + t763, + t668, + t712, + t762, + t760, + t758, + t741, + t757, + t734, + t695, + t756, + t755, + t736, + t708, + t754, + t743, + t721, + t700, + t753, + t752, + t747, + t746, + t745, + t742, + t739, + t738, + t737, + t733, + t731, + t730, + t729, + t727, + t726, + t725, + t724, + t722, + t720, + t719, + t715, + t709, + t707, + t706, + t705, + t703, + t702, + t701, + t699, + t697, + t696, + t694, + t693, + t692, + t691, + t690, + t686, + t683, + t681, + t679, + t676, + t675, + t673, + t672, + t669, + t666, + t663, + t658, + t656, + t655, + t651; + t750 = x*x; + t779 = y*t750; + t748 = y*y; + t778 = x*t748; + t749 = t750*x; + t777 = t749+x; + t776 = y*t749; + t775 = t748*t750; + t740 = RATIONAL(1.0,3.0); + t761 = t748*t749; + t688 = t740*t761; + t713 = RATIONAL(5.0,18.0); + t774 = t688+t713*t779; + t711 = RATIONAL(7.0,48.0); + t773 = t711*t748; + t744 = RATIONAL(-1.0,3.0); + t759 = t744*t748; + t687 = t749*t759; + t732 = RATIONAL(-7.0,18.0); + t772 = t687+t732*t779; + t718 = RATIONAL(-7.0,48.0); + t771 = t718*t748; + t735 = RATIONAL(7.0,3.0); + t677 = t735*t761; + t770 = t735*t779+t677; + t680 = RATIONAL(-7.0,3.0)*t761; + t769 = RATIONAL(-35.0,6.0)*t779+t680; + t717 = RATIONAL(7.0,18.0); + t698 = t717*t749; + t768 = RATIONAL(-16.0,3.0)*t761+RATIONAL(-70.0,9.0)*t779; + t767 = t750*RATIONAL(-5.0,12.0); + t670 = t718*t761; + t728 = RATIONAL(-1.0,12.0); + t766 = t728*t779+t670; + t765 = t740*t748; + t710 = RATIONAL(-1.0,48.0); + t714 = RATIONAL(-1.0,36.0); + t764 = t714*t779+t710*t761; + t763 = RATIONAL(7.0,9.0)*t779+t688; + t668 = t711*t761; + t712 = RATIONAL(5.0,24.0); + t762 = t712*t779+t668; + t760 = RATIONAL(1.0,48.0)*t748; + t758 = y*t777; + t741 = RATIONAL(-4.0,9.0); + t757 = RATIONAL(25.0,6.0)*t779+t741*x+t677; + t734 = RATIONAL(1.0,18.0); + t695 = t734*x; + t756 = t695+t687+RATIONAL(-5.0,9.0)*t779; + t755 = t695+RATIONAL(-49.0,48.0)*t761+RATIONAL(-5.0,4.0)*t779; + t736 = RATIONAL(1.0,6.0); + t708 = RATIONAL(-1.0,144.0); + t754 = t668+t708*x+t736*t779; + t743 = RATIONAL(-5.0,3.0); + t721 = RATIONAL(-1.0,18.0); + t700 = t721*x; + t753 = t700+t680+t743*t779; + t752 = t700+y*t767+t670; + t747 = RATIONAL(-2.0,9.0); + t746 = RATIONAL(2.0,9.0); + t745 = RATIONAL(-2.0,3.0); + t742 = RATIONAL(-1.0,9.0); + t739 = RATIONAL(2.0,3.0); + t738 = RATIONAL(4.0,9.0); + t737 = RATIONAL(1.0,9.0); + t733 = RATIONAL(-5.0,18.0); + t731 = RATIONAL(1.0,72.0); + t730 = RATIONAL(7.0,36.0); + t729 = RATIONAL(-1.0,24.0); + t727 = RATIONAL(7.0,12.0); + t726 = RATIONAL(-7.0,12.0); + t725 = RATIONAL(1.0,24.0); + t724 = RATIONAL(-1.0,72.0); + t722 = RATIONAL(1.0,36.0); + t720 = RATIONAL(-5.0,24.0); + t719 = RATIONAL(1.0,12.0); + t715 = RATIONAL(-7.0,36.0); + t709 = RATIONAL(10.0,3.0); + t707 = RATIONAL(1.0,144.0); + t706 = t738*x; + t705 = RATIONAL(-8.0,9.0)*t749; + t703 = RATIONAL(8.0,9.0)*t749; + t702 = t737*t749; + t701 = t742*t749; + t699 = t721*t749; + t697 = t732*t749; + t696 = t734*t749; + t694 = RATIONAL(7.0,144.0)*t749; + t693 = RATIONAL(-7.0,144.0)*t749; + t692 = t708*t749; + t691 = t707*x; + t690 = t707*t749; + t686 = t736*t778; + t683 = RATIONAL(7.0,6.0)*t778; + t681 = RATIONAL(-1.0,6.0)*t778; + t679 = RATIONAL(-7.0,6.0)*t778; + t676 = x*t765; + t675 = RATIONAL(-8.0,3.0)*t778; + t673 = RATIONAL(8.0,3.0)*t778; + t672 = x*t759; + t669 = t710*t778; + t666 = x*t760; + t663 = t749*t760; + t658 = x*t773; + t656 = x*t771; + t655 = RATIONAL(16.0,3.0)*t761; + t651 = RATIONAL(49.0,48.0)*t761; + coeff_dy_m2_m2 = t690+t666+t663+t691+(t724+t729*t748)*t750+(t734*t750+ +t777*t714)*y; + coeff_dy_m1_m2 = t681+t693+(RATIONAL(5.0,48.0)+RATIONAL(5.0,16.0)*t748)* +t750+(t730*t749+t746*x)*y+t752; + coeff_dy_0_m2 = t719+t715*t750+t702+(t726*t750+RATIONAL(1.0,4.0))*t748+( +t741*t749+t744)*y+t763; + coeff_dy_p1_m2 = t686+t701+(RATIONAL(5.0,36.0)+RATIONAL(5.0,12.0)*t748)* +t750+(t738*t749+t747*x)*y+t756; + coeff_dy_p2_m2 = t669+t694+(t729+RATIONAL(-1.0,8.0)*t748)*t750+(t722*x+ +t715*t749)*y+t754; + coeff_dy_p3_m2 = t692+t722*t776+(t707+t760)*t750+t764; + coeff_dy_m2_m1 = t656+t699+(t737+RATIONAL(7.0,24.0)*t748)*t750+t712*t758+ +t752; + coeff_dy_m1_m1 = t698+t683+t706+t651+(RATIONAL(-5.0,6.0)+RATIONAL(-35.0, +16.0)*t748)*t750+(RATIONAL(25.0,8.0)*t750+RATIONAL(-35.0,24.0)*t749+t743*x)*y; + coeff_dy_0_m1 = t745+RATIONAL(14.0,9.0)*t750+t705+(RATIONAL(49.0,12.0)* +t750+RATIONAL(-7.0,4.0))*t748+(RATIONAL(5.0,2.0)+t709*t749)*y+t769; + coeff_dy_p1_m1 = t703+t679+(RATIONAL(-10.0,9.0)+RATIONAL(-35.0,12.0)*t748 +)*t750+(RATIONAL(-10.0,3.0)*t749+RATIONAL(5.0,3.0)*x)*y+t757; + coeff_dy_p2_m1 = t697+t658+(t740+RATIONAL(7.0,8.0)*t748)*t750+(RATIONAL( +35.0,24.0)*t749+t720*x)*y+t755; + coeff_dy_p3_m1 = t720*t776+t696+(t721+t771)*t750+t762; + coeff_dy_m2_0 = t745*t775+t676+t732*t758+t763; + coeff_dy_m1_0 = RATIONAL(5.0,1.0)*t775+t675+(RATIONAL(28.0,9.0)*x+ +RATIONAL(49.0,18.0)*t749)*y+t769; + coeff_dy_0_0 = t655+(RATIONAL(-28.0,3.0)*t750+RATIONAL(4.0,1.0))*t748+( +RATIONAL(-56.0,9.0)*t749+RATIONAL(-14.0,3.0)+RATIONAL(98.0,9.0)*t750)*y; + coeff_dy_p1_0 = t673+RATIONAL(20.0,3.0)*t775+(RATIONAL(-28.0,9.0)*x+ +RATIONAL(56.0,9.0)*t749)*y+t768; + coeff_dy_p2_0 = t672+RATIONAL(-2.0,1.0)*t775+(t717*x+RATIONAL(-49.0,18.0) +*t749)*y+t770; + coeff_dy_p3_0 = t750*t765+y*t698+t772; + coeff_dy_m2_p1 = t672+t696+(t739*t748+t742)*t750+t713*t758+t756; + coeff_dy_m1_p1 = t697+t673+(RATIONAL(-5.0,1.0)*t748+RATIONAL(5.0,6.0))* +t750+(RATIONAL(-35.0,18.0)*t749+RATIONAL(-20.0,9.0)*x)*y+t757; + coeff_dy_0_p1 = t739+t703+RATIONAL(-14.0,9.0)*t750+(RATIONAL(28.0,3.0)* +t750+RATIONAL(-4.0,1.0))*t748+(t709+RATIONAL(40.0,9.0)*t749)*y+t768; + coeff_dy_p1_p1 = t675+t705+t655+t706+(RATIONAL(-20.0,3.0)*t748+RATIONAL( +10.0,9.0))*t750+(RATIONAL(50.0,9.0)*t750+RATIONAL(20.0,9.0)*x+RATIONAL(-40.0, +9.0)*t749)*y; + coeff_dy_p2_p1 = t676+t698+(RATIONAL(2.0,1.0)*t748+t744)*t750+(RATIONAL( +35.0,18.0)*t749+t733*x)*y+t753; + coeff_dy_p3_p1 = t699+t733*t776+(t759+t734)*t750+t774; + coeff_dy_m2_p2 = t658+t692+(t731+RATIONAL(-7.0,24.0)*t748)*t750+t728*t758 ++t754; + coeff_dy_m1_p2 = t679+t694+(RATIONAL(35.0,16.0)*t748+RATIONAL(-5.0,48.0)) +*t750+(t739*x+t727*t749)*y+t755; + coeff_dy_0_p2 = RATIONAL(-4.0,3.0)*t776+t701+t728+t730*t750-y+(RATIONAL( +-49.0,12.0)*t750+RATIONAL(7.0,4.0))*t748+t770; + coeff_dy_p1_p2 = t702+t683+(RATIONAL(35.0,12.0)*t748+RATIONAL(-5.0,36.0)) +*t750+(t745*x+RATIONAL(4.0,3.0)*t749)*y+t753; + coeff_dy_p2_p2 = t691+t656+t693+t651+(t725+RATIONAL(-7.0,8.0)*t748)*t750+ +(RATIONAL(1.0,2.0)*t750+t719*x+t726*t749)*y; + coeff_dy_p3_p2 = t690+t719*t776+(t773+t708)*t750+t766; + coeff_dy_m2_p3 = t725*t775+t669+t731*t758+t764; + coeff_dy_m1_p3 = t686+RATIONAL(-5.0,16.0)*t775+(RATIONAL(-7.0,72.0)*t749+ +t742*x)*y+t762; + coeff_dy_0_p3 = (RATIONAL(-1.0,4.0)+t727*t750)*t748+(t736+t746*t749)*y+ +t772; + coeff_dy_p1_p3 = t681+t748*t767+(t737*x+t747*t749)*y+t774; + coeff_dy_p2_p3 = RATIONAL(1.0,8.0)*t775+t666+(RATIONAL(7.0,72.0)*t749+ +t724*x)*y+t766; + coeff_dy_p3_p3 = t710*t775+t663+(t731*t750+t724*t749)*y; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order3/coeff-dyy.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order3/coeff-dyy.compute.c new file mode 100644 index 0000000..56fd101 --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/2d.coeffs/2d.cube.order3/coeff-dyy.compute.c @@ -0,0 +1,214 @@ +fp t1119, + t1093, + t1092, + t1118, + t1117, + t1072, + t1116, + t1115, + t1114, + t1113, + t1089, + t1112, + t1084, + t1111, + t1110, + t1109, + t1032, + t1075, + t1108, + t1041, + t1107, + t1081, + t1033, + t1106, + t1064, + t1105, + t1104, + t1042, + t1079, + t1103, + t1102, + t1046, + t1065, + t1029, + t1101, + t1026, + t1082, + t1100, + t1087, + t1099, + t1098, + t1062, + t1097, + t1061, + t1096, + t1095, + t1091, + t1090, + t1088, + t1086, + t1085, + t1083, + t1080, + t1077, + t1074, + t1073, + t1070, + t1069, + t1068, + t1067, + t1066, + t1063, + t1044, + t1043, + t1040, + t1039, + t1038, + t1037, + t1036, + t1034, + t1031, + t1030, + t1028, + t1025, + t1024, + t1023, + t1022; + t1119 = x*y; + t1093 = x*x; + t1092 = x*t1093; + t1118 = t1092+x; + t1117 = y*t1093; + t1072 = RATIONAL(-7.0,24.0); + t1116 = y*t1072; + t1115 = y*t1092; + t1114 = RATIONAL(-1.0,24.0)*y; + t1113 = y*RATIONAL(7.0,24.0); + t1089 = RATIONAL(-2.0,3.0); + t1112 = t1089*x; + t1084 = RATIONAL(2.0,3.0); + t1111 = y*t1084; + t1110 = y*RATIONAL(1.0,24.0); + t1109 = RATIONAL(-70.0,9.0)*t1093+RATIONAL(-32.0,3.0)*t1115; + t1032 = t1072*t1115; + t1075 = RATIONAL(-1.0,12.0); + t1108 = t1032+t1075*t1093; + t1041 = t1092*t1111; + t1107 = RATIONAL(7.0,9.0)*t1093+t1041; + t1081 = RATIONAL(1.0,6.0); + t1033 = t1092*t1113; + t1106 = t1033+t1081*t1093; + t1064 = RATIONAL(-1.0,36.0); + t1105 = t1064*t1093+t1092*t1114; + t1104 = t1032+RATIONAL(-5.0,12.0)*t1093; + t1042 = t1089*t1115; + t1079 = RATIONAL(-7.0,18.0); + t1103 = t1079*t1093+t1042; + t1102 = RATIONAL(-5.0,9.0)*t1093+t1042; + t1046 = RATIONAL(-35.0,6.0)*t1093; + t1065 = RATIONAL(-14.0,3.0); + t1029 = t1065*t1115; + t1101 = t1046+t1029; + t1026 = RATIONAL(14.0,3.0)*t1115; + t1082 = RATIONAL(7.0,3.0); + t1100 = t1026+t1082*t1093; + t1087 = RATIONAL(-5.0,3.0); + t1099 = t1087*t1093+t1029; + t1098 = RATIONAL(-5.0,4.0)*t1093+RATIONAL(-49.0,24.0)*t1115; + t1062 = RATIONAL(5.0,18.0); + t1097 = t1062*t1093+t1041; + t1061 = RATIONAL(5.0,24.0); + t1096 = t1061*t1093+t1033; + t1095 = t1026+RATIONAL(25.0,6.0)*t1093; + t1091 = RATIONAL(-2.0,9.0); + t1090 = RATIONAL(2.0,9.0); + t1088 = RATIONAL(-1.0,3.0); + t1086 = RATIONAL(4.0,3.0); + t1085 = RATIONAL(-4.0,3.0); + t1083 = RATIONAL(1.0,2.0); + t1080 = RATIONAL(-5.0,18.0); + t1077 = RATIONAL(1.0,72.0); + t1074 = RATIONAL(7.0,12.0); + t1073 = RATIONAL(-7.0,12.0); + t1070 = RATIONAL(-1.0,72.0); + t1069 = RATIONAL(1.0,36.0); + t1068 = RATIONAL(-5.0,24.0); + t1067 = RATIONAL(1.0,12.0); + t1066 = RATIONAL(7.0,18.0); + t1063 = RATIONAL(10.0,3.0); + t1044 = y*t1112; + t1043 = RATIONAL(1.0,3.0)*t1119; + t1040 = t1088*t1119; + t1039 = t1082*t1119; + t1038 = RATIONAL(-7.0,3.0)*t1119; + t1037 = x*t1111; + t1036 = RATIONAL(16.0,3.0)*t1119; + t1034 = x*t1114; + t1031 = t1092*t1110; + t1030 = x*t1110; + t1028 = x*t1116; + t1025 = x*t1113; + t1024 = RATIONAL(-16.0,3.0)*t1119; + t1023 = RATIONAL(32.0,3.0)*t1115; + t1022 = RATIONAL(49.0,24.0)*t1115; + coeff_dyy_m2_m2 = t1031+t1030+(t1075*y+RATIONAL(1.0,18.0))*t1093+t1118* +t1064; + coeff_dyy_m1_m2 = RATIONAL(7.0,36.0)*t1092+t1090*x+RATIONAL(5.0,8.0)* +t1117+t1040+t1104; + coeff_dyy_0_m2 = t1088+RATIONAL(-4.0,9.0)*t1092+(t1083+RATIONAL(-7.0,6.0) +*t1093)*y+t1107; + coeff_dyy_p1_m2 = RATIONAL(4.0,9.0)*t1092+t1043+RATIONAL(5.0,6.0)*t1117+ +t1091*x+t1102; + coeff_dyy_p2_m2 = t1069*x+RATIONAL(-1.0,4.0)*t1117+t1034+RATIONAL(-7.0, +36.0)*t1092+t1106; + coeff_dyy_p3_m2 = t1069*t1092+t1093*t1110+t1105; + coeff_dyy_m2_m1 = t1074*t1117+t1028+t1118*t1061+t1104; + coeff_dyy_m1_m1 = t1022+t1039+RATIONAL(-35.0,24.0)*t1092+t1087*x+( +RATIONAL(25.0,8.0)+RATIONAL(-35.0,8.0)*y)*t1093; + coeff_dyy_0_m1 = t1063*t1092+RATIONAL(5.0,2.0)+(RATIONAL(-7.0,2.0)+ +RATIONAL(49.0,6.0)*t1093)*y+t1101; + coeff_dyy_p1_m1 = RATIONAL(-10.0,3.0)*t1092+y*t1046+RATIONAL(5.0,3.0)*x+ +t1038+t1095; + coeff_dyy_p2_m1 = RATIONAL(7.0,4.0)*t1117+t1068*x+t1025+RATIONAL(35.0, +24.0)*t1092+t1098; + coeff_dyy_p3_m1 = t1093*t1116+t1068*t1092+t1096; + coeff_dyy_m2_0 = t1037+t1085*t1117+t1118*t1079+t1107; + coeff_dyy_m1_0 = RATIONAL(49.0,18.0)*t1092+RATIONAL(10.0,1.0)*t1117+t1024 ++RATIONAL(28.0,9.0)*x+t1101; + coeff_dyy_0_0 = t1023+t1065+RATIONAL(-56.0,9.0)*t1092+RATIONAL(98.0,9.0)* +t1093+(RATIONAL(8.0,1.0)+RATIONAL(-56.0,3.0)*t1093)*y; + coeff_dyy_p1_0 = RATIONAL(-28.0,9.0)*x+RATIONAL(40.0,3.0)*t1117+t1036+ +RATIONAL(56.0,9.0)*t1092+t1109; + coeff_dyy_p2_0 = t1044+RATIONAL(-49.0,18.0)*t1092+t1066*x+RATIONAL(-4.0, +1.0)*t1117+t1100; + coeff_dyy_p3_0 = t1093*t1111+t1066*t1092+t1103; + coeff_dyy_m2_p1 = t1044+t1086*t1117+t1118*t1062+t1102; + coeff_dyy_m1_p1 = RATIONAL(-35.0,18.0)*t1092+RATIONAL(-20.0,9.0)*x+t1036+ +RATIONAL(-10.0,1.0)*t1117+t1095; + coeff_dyy_0_p1 = RATIONAL(40.0,9.0)*t1092+t1063+(RATIONAL(56.0,3.0)*t1093 ++RATIONAL(-8.0,1.0))*y+t1109; + coeff_dyy_p1_p1 = t1023+RATIONAL(20.0,9.0)*x+t1024+RATIONAL(-40.0,9.0)* +t1092+(RATIONAL(50.0,9.0)+RATIONAL(-40.0,3.0)*y)*t1093; + coeff_dyy_p2_p1 = RATIONAL(4.0,1.0)*t1117+t1080*x+t1037+RATIONAL(35.0, +18.0)*t1092+t1099; + coeff_dyy_p3_p1 = t1080*t1092+t1089*t1117+t1097; + coeff_dyy_m2_p2 = t1073*t1117+t1025+t1118*t1075+t1106; + coeff_dyy_m1_p2 = t1084*x+t1074*t1092+RATIONAL(35.0,8.0)*t1117+t1038+ +t1098; + coeff_dyy_0_p2 = t1085*t1092+RATIONAL(-1.0,1.0)+(RATIONAL(7.0,2.0)+ +RATIONAL(-49.0,6.0)*t1093)*y+t1100; + coeff_dyy_p1_p2 = RATIONAL(35.0,6.0)*t1117+t1112+t1086*t1092+t1039+t1099; + coeff_dyy_p2_p2 = t1022+t1073*t1092+t1028+t1067*x+(RATIONAL(-7.0,4.0)*y+ +t1083)*t1093; + coeff_dyy_p3_p2 = t1093*t1113+t1067*t1092+t1108; + coeff_dyy_m2_p3 = t1034+t1067*t1117+t1118*t1077+t1105; + coeff_dyy_m1_p3 = RATIONAL(-5.0,8.0)*t1117+t1043+RATIONAL(-7.0,72.0)* +t1092+RATIONAL(-1.0,9.0)*x+t1096; + coeff_dyy_0_p3 = t1090*t1092+t1081+(RATIONAL(7.0,6.0)*t1093+RATIONAL(-1.0 +,2.0))*y+t1103; + coeff_dyy_p1_p3 = t1040+t1091*t1092+RATIONAL(1.0,9.0)*x+RATIONAL(-5.0,6.0 +)*t1117+t1097; + coeff_dyy_p2_p3 = t1030+RATIONAL(7.0,72.0)*t1092+RATIONAL(1.0,4.0)*t1117+ +t1070*x+t1108; + coeff_dyy_p3_p3 = t1070*t1092+t1031+(t1077+t1114)*t1093; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/2d.cube.order2.c b/src/GeneralizedPolynomial-Uniform/Hermite/2d.cube.order2.c new file mode 100644 index 0000000..ba1990e --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/2d.cube.order2.c @@ -0,0 +1,62 @@ +/* $Header$ */ + +#include +#include +#include +#include +#include + +#include "util_ErrorCodes.h" +#include "cctk.h" +#include "../InterpLocalUniform.h" + +/* function prototype */ +#define FUNCTION_NAME LocalInterp_UHermite_2dcube_2 +#include "../template.h" + +#define N_DIMS 2 +#define MOLECULE_MIN_M -1 +#define MOLECULE_MAX_M 2 +#define MOLECULE_SIZE 4 + +/* which derivative ops do we support? */ +#define HAVE_OP_I +#define HAVE_OP_DX +#define HAVE_OP_DY +#define HAVE_OP_DXX +#define HAVE_OP_DXY +#define HAVE_OP_DYY + +#define DATA_VAR_DCL_FILE_NAME "../common/2d.cube.size4/data-var.dcl.c" +#define DATA_VAR_ASSIGN_FILE_NAME "../common/2d.cube.size4/data-var.assign.c" + +#define COEFF_I_VAR_STORE_FILE_NAME "../common/2d.cube.size4/coeff-I.store.c" +#define COEFF_DX_VAR_STORE_FILE_NAME "../common/2d.cube.size4/coeff-dx.store.c" +#define COEFF_DY_VAR_STORE_FILE_NAME "../common/2d.cube.size4/coeff-dy.store.c" +#define COEFF_DXX_VAR_STORE_FILE_NAME "../common/2d.cube.size4/coeff-dxx.store.c" +#define COEFF_DXY_VAR_STORE_FILE_NAME "../common/2d.cube.size4/coeff-dxy.store.c" +#define COEFF_DYY_VAR_STORE_FILE_NAME "../common/2d.cube.size4/coeff-dyy.store.c" + +#define COEFF_I_DCL_FILE_NAME "../common/2d.cube.size4/coeff-I.dcl.c" +#define COEFF_DX_DCL_FILE_NAME "../common/2d.cube.size4/coeff-dx.dcl.c" +#define COEFF_DY_DCL_FILE_NAME "../common/2d.cube.size4/coeff-dy.dcl.c" +#define COEFF_DXX_DCL_FILE_NAME "../common/2d.cube.size4/coeff-dxx.dcl.c" +#define COEFF_DXY_DCL_FILE_NAME "../common/2d.cube.size4/coeff-dxy.dcl.c" +#define COEFF_DYY_DCL_FILE_NAME "../common/2d.cube.size4/coeff-dyy.dcl.c" + +#define INTERP_I_COMPUTE_FILE_NAME "../common/2d.cube.size4/interp-I.compute.c" +#define INTERP_DX_COMPUTE_FILE_NAME "../common/2d.cube.size4/interp-dx.compute.c" +#define INTERP_DY_COMPUTE_FILE_NAME "../common/2d.cube.size4/interp-dy.compute.c" +#define INTERP_DXX_COMPUTE_FILE_NAME "../common/2d.cube.size4/interp-dxx.compute.c" +#define INTERP_DXY_COMPUTE_FILE_NAME "../common/2d.cube.size4/interp-dxy.compute.c" +#define INTERP_DYY_COMPUTE_FILE_NAME "../common/2d.cube.size4/interp-dyy.compute.c" + +#define COEFF_I_COMPUTE_FILE_NAME "2d.coeffs/2d.cube.order2/coeff-I.compute.c" +#define COEFF_DX_COMPUTE_FILE_NAME "2d.coeffs/2d.cube.order2/coeff-dx.compute.c" +#define COEFF_DY_COMPUTE_FILE_NAME "2d.coeffs/2d.cube.order2/coeff-dy.compute.c" +#define COEFF_DXX_COMPUTE_FILE_NAME "2d.coeffs/2d.cube.order2/coeff-dxx.compute.c" +#define COEFF_DXY_COMPUTE_FILE_NAME "2d.coeffs/2d.cube.order2/coeff-dxy.compute.c" +#define COEFF_DYY_COMPUTE_FILE_NAME "2d.coeffs/2d.cube.order2/coeff-dyy.compute.c" + +/* actual code */ +#include "../template.c" diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/2d.cube.order3.c b/src/GeneralizedPolynomial-Uniform/Hermite/2d.cube.order3.c new file mode 100644 index 0000000..ea07ada --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/2d.cube.order3.c @@ -0,0 +1,62 @@ +/* $Header$ */ + +#include +#include +#include +#include +#include + +#include "util_ErrorCodes.h" +#include "cctk.h" +#include "../InterpLocalUniform.h" + +/* function prototype */ +#define FUNCTION_NAME LocalInterp_UHermite_2dcube_3 +#include "../template.h" + +#define N_DIMS 2 +#define MOLECULE_MIN_M -2 +#define MOLECULE_MAX_M 3 +#define MOLECULE_SIZE 6 + +/* which derivative ops do we support? */ +#define HAVE_OP_I +#define HAVE_OP_DX +#define HAVE_OP_DY +#define HAVE_OP_DXX +#define HAVE_OP_DXY +#define HAVE_OP_DYY + +#define DATA_VAR_DCL_FILE_NAME "../common/2d.cube.size6/data-var.dcl.c" +#define DATA_VAR_ASSIGN_FILE_NAME "../common/2d.cube.size6/data-var.assign.c" + +#define COEFF_I_VAR_STORE_FILE_NAME "../common/2d.cube.size6/coeff-I.store.c" +#define COEFF_DX_VAR_STORE_FILE_NAME "../common/2d.cube.size6/coeff-dx.store.c" +#define COEFF_DY_VAR_STORE_FILE_NAME "../common/2d.cube.size6/coeff-dy.store.c" +#define COEFF_DXX_VAR_STORE_FILE_NAME "../common/2d.cube.size6/coeff-dxx.store.c" +#define COEFF_DXY_VAR_STORE_FILE_NAME "../common/2d.cube.size6/coeff-dxy.store.c" +#define COEFF_DYY_VAR_STORE_FILE_NAME "../common/2d.cube.size6/coeff-dyy.store.c" + +#define COEFF_I_DCL_FILE_NAME "../common/2d.cube.size6/coeff-I.dcl.c" +#define COEFF_DX_DCL_FILE_NAME "../common/2d.cube.size6/coeff-dx.dcl.c" +#define COEFF_DY_DCL_FILE_NAME "../common/2d.cube.size6/coeff-dy.dcl.c" +#define COEFF_DXX_DCL_FILE_NAME "../common/2d.cube.size6/coeff-dxx.dcl.c" +#define COEFF_DXY_DCL_FILE_NAME "../common/2d.cube.size6/coeff-dxy.dcl.c" +#define COEFF_DYY_DCL_FILE_NAME "../common/2d.cube.size6/coeff-dyy.dcl.c" + +#define INTERP_I_COMPUTE_FILE_NAME "../common/2d.cube.size6/interp-I.compute.c" +#define INTERP_DX_COMPUTE_FILE_NAME "../common/2d.cube.size6/interp-dx.compute.c" +#define INTERP_DY_COMPUTE_FILE_NAME "../common/2d.cube.size6/interp-dy.compute.c" +#define INTERP_DXX_COMPUTE_FILE_NAME "../common/2d.cube.size6/interp-dxx.compute.c" +#define INTERP_DXY_COMPUTE_FILE_NAME "../common/2d.cube.size6/interp-dxy.compute.c" +#define INTERP_DYY_COMPUTE_FILE_NAME "../common/2d.cube.size6/interp-dyy.compute.c" + +#define COEFF_I_COMPUTE_FILE_NAME "2d.coeffs/2d.cube.order3/coeff-I.compute.c" +#define COEFF_DX_COMPUTE_FILE_NAME "2d.coeffs/2d.cube.order3/coeff-dx.compute.c" +#define COEFF_DY_COMPUTE_FILE_NAME "2d.coeffs/2d.cube.order3/coeff-dy.compute.c" +#define COEFF_DXX_COMPUTE_FILE_NAME "2d.coeffs/2d.cube.order3/coeff-dxx.compute.c" +#define COEFF_DXY_COMPUTE_FILE_NAME "2d.coeffs/2d.cube.order3/coeff-dxy.compute.c" +#define COEFF_DYY_COMPUTE_FILE_NAME "2d.coeffs/2d.cube.order3/coeff-dyy.compute.c" + +/* actual code */ +#include "../template.c" diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/2d.log b/src/GeneralizedPolynomial-Uniform/Hermite/2d.log new file mode 100644 index 0000000..f1e48ed --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/2d.log @@ -0,0 +1,5668 @@ + |\^/| Maple 7 (IBM INTEL LINUX) +._|\| |/|_. Copyright (c) 2001 by Waterloo Maple Inc. + \ MAPLE / All rights reserved. Maple is a registered trademark of + <____ ____> Waterloo Maple Inc. + | Type ? for help. +# util.maple -- misc utility routines +# $Header: /cactusdevcvs/CactusBase/LocalInterp/src/GeneralizedPolynomial-Uniform/util.maple,v 1.4 2002/08/20 16:46:06 jthorn Exp $ +> +# +# fix_rationals - convert numbers to RATIONAL() calls +# nonmatching_names - find names in a list which *don't* have a specified prefix +# sprint_numeric_list - convert a numeric list to a valid C identifier suffix +# print_name_list_dcl - print a C declaration for a list of names +# +# hypercube_points - compute all (integer) points in an N-dimensional hypercube +# +# ftruncate - truncate a file to zero length +# +> +################################################################################ +################################################################################ +################################################################################ +> +# +# This function converts all {integer, rational} subexpressions of its +# input except integer exponents and -1 factors in products, into function +# calls +# RATIONAL(num,den) +# This is useful in conjunction with the C() library function, since +# +# C( (1/3) * foo * bar ) +# t0 = foo*bar/3; +# +# generates a (slow) division (and runs the risk of mixed-mode-arithmetic +# problems), while +# +# C((1.0/3.0) * foo * bar); +# t0 = 0.3333333333*foo*bar; +# +# suffers from roundoff error. With this function, +# +# fix_rationals((1/3) * foo * bar); +# RATIONAL(1,3) foo bar +# C(%); +# t0 = RATIONAL(1.0,3.0)*foo*bar; +# +# which a C preprocessor macro can easily convert to the desired +# +# t0 = (1.0/3.0)*foo*bar; +# +# Additionally, this function can be told to leave certain types of +# subexpressions unconverged. For example, +# fix_rationals(expr, type, specfunc(integer, DATA)); +# will leave all subexpressions of the form DATA(integer arguments) +# unconverted. +# +# Arguments: +# expr = (in) The expression to be converted. +# inert_fn = (optional in) +# If specified, this argument should be a Boolean procedure +# or the name of a Boolean procedure. This procedure should +# take one or more argument, and return true if and only if +# the first argument should *not* be converted, i.e. if we +# should leave this expression unchanged. See the last +# example above. +# ... = (optional in) +# Any further arguments are passed as additional arguments to +# the inert_fn procedure. +# +> fix_rationals := +> proc( +> expr::{ +> algebraic, name = algebraic, +> list({algebraic, name = algebraic}), +> set ({algebraic, name = algebraic}) +> }, +> inert_fn::{name, procedure} +> ) +> local nn, k, +> base, power, fbase, fpower, +> fn, fn_args_list, +> num, den, mult; +> +# do we want to convert this expression? +> if ((nargs >= 2) and inert_fn(expr, args[3..nargs])) +> then return expr; +> end if; +> +# recurse over lists and sets +> if (type(expr, {list,set})) +> then return map(fix_rationals, expr, args[2..nargs]); +> end if; +> +# recurse over equation right hand sides +> if (type(expr, name = algebraic)) +> then return ( lhs(expr) = fix_rationals(rhs(expr), args[2..nargs]) ); +> end if; +> +# recurse over functions other than RATIONAL() +> if (type(expr, function)) +> then +> fn := op(0, expr); +> if (fn <> 'RATIONAL') +> then +> fn_args_list := [op(expr)]; +> fn_args_list := map(fix_rationals, fn_args_list, args[2..nargs]); +> fn; return '%'( op(fn_args_list) ); +> end if; +> end if; +> +> nn := nops(expr); +> +# recurse over sums +> if (type(expr, `+`)) +> then return sum('fix_rationals(op(k,expr), args[2..nargs])', 'k'=1..nn); +> end if; +> +# recurse over products +# ... leaving leading -1 factors intact, i.e. not converted to RATIONAL(-1,1) +> if (type(expr, `*`)) +> then +> if (op(1, expr) = -1) +> then return -1*fix_rationals(remove(type, expr, 'identical(-1)'), +> args[2..nargs]); +> else return product('fix_rationals(op(k,expr), args[2..nargs])', +> 'k'=1..nn); +> end if; +> end if; +> +# recurse over powers +# ... leaving integer exponents intact +> if (type(expr, `^`)) +> then +> base := op(1, expr); +> power := op(2, expr); +> +> fbase := fix_rationals(base, args[2..nargs]); +> if (type(power, integer)) +> then fpower := power; +> else fpower := fix_rationals(power, args[2..nargs]); +> end if; +> return fbase ^ fpower; +> end if; +> +# fix integers and fractions +> if (type(expr, integer)) +> then return 'RATIONAL'(expr, 1); +> end if; +> if (type(expr, fraction)) +> then +> num := op(1, expr); +> den := op(2, expr); +> +> return 'RATIONAL'(num, den); +> end if; +> +# turn Maple floating-point into integer fraction, then recursively fix that +> if (type(expr, float)) +> then +> mult := op(1, expr); +> power := op(2, expr); +> return fix_rationals(mult * 10^power, args[2..nargs]); +> end if; +> +# identity op on names +> if (type(expr, name)) +> then return expr; +> end if; +> +# unknown type +> error "%0", +> "unknown type for expr!", +> " whattype(expr) = ", whattype(expr), +> " expr = ", expr; +> end proc; +fix_rationals := proc(expr::{algebraic, name = algebraic, +list({algebraic, name = algebraic}), set({algebraic, name = algebraic})}, +inert_fn::{procedure, name}) +local nn, k, base, power, fbase, fpower, fn, fn_args_list, num, den, mult; + if 2 <= nargs and inert_fn(expr, args[3 .. nargs]) then return expr + end if; + if type(expr, {set, list}) then + return map(fix_rationals, expr, args[2 .. nargs]) + end if; + if type(expr, name = algebraic) then + return lhs(expr) = fix_rationals(rhs(expr), args[2 .. nargs]) + end if; + if type(expr, function) then + fn := op(0, expr); + if fn <> 'RATIONAL' then + fn_args_list := [op(expr)]; + fn_args_list := + map(fix_rationals, fn_args_list, args[2 .. nargs]); + fn; + return '%'(op(fn_args_list)) + end if + end if; + nn := nops(expr); + if type(expr, `+`) then return + sum('fix_rationals(op(k, expr), args[2 .. nargs])', 'k' = 1 .. nn) + end if; + if type(expr, `*`) then + if op(1, expr) = -1 then return -fix_rationals( + remove(type, expr, 'identical(-1)'), args[2 .. nargs]) + else return product('fix_rationals(op(k, expr), args[2 .. nargs])', + 'k' = 1 .. nn) + end if + end if; + if type(expr, `^`) then + base := op(1, expr); + power := op(2, expr); + fbase := fix_rationals(base, args[2 .. nargs]); + if type(power, integer) then fpower := power + else fpower := fix_rationals(power, args[2 .. nargs]) + end if; + return fbase^fpower + end if; + if type(expr, integer) then return 'RATIONAL'(expr, 1) end if; + if type(expr, fraction) then + num := op(1, expr); den := op(2, expr); return 'RATIONAL'(num, den) + end if; + if type(expr, float) then + mult := op(1, expr); + power := op(2, expr); + return fix_rationals(mult*10^power, args[2 .. nargs]) + end if; + if type(expr, name) then return expr end if; + error "%0", "unknown type for expr!", " whattype(expr) = ", + whattype(expr), " expr = ", expr +end proc + +> +################################################################################ +> +# +# This function finds names in a list which *don't* have a specified prefix. +# +# Arguments: +# name_list = A list of the names. +# prefix = The prefix we want to filter out. +# +# Results: +# This function returns the subset list of names which don't have the +# specified prefix. +# +> nonmatching_names := +> proc( name_list::list({name,string}), prefix::{name,string} ) +> +> select( proc(n) +> evalb(not StringTools[IsPrefix](prefix,n)); +> end proc +> , +> name_list +> ); +> end proc; +nonmatching_names := proc( +name_list::list({name, string}), prefix::{name, string}) + select(proc(n) evalb(not StringTools[IsPrefix](prefix, n)) end proc, + name_list) +end proc + +> +################################################################################ +> +# +# This function converts a numeric list to a string which is a valid +# C identifier suffix: elements are separated by "_", decimal points are +# replaced by "x", and all nonzero values have explicit +/- signs, which +# are replaced by "p"/"m". +# +# For example, [0,-3.5,+4] --> "0_m3x5_p4". +# +> sprint_numeric_list := +> proc(nlist::list(numeric)) +> +# generate preliminary string, eg "+0_-3.5_+4" +> map2(sprintf, "%+a", nlist); +> ListTools[Join](%, "_"); +> cat(op(%)); +> +# fixup bad characters +> StringTools[SubstituteAll](%, "+0", "0"); +> StringTools[CharacterMap](".+-", "xpm", %); +> +> return %; +> end proc; +sprint_numeric_list := proc(nlist::list(numeric)) + map2(sprintf, "%+a", nlist); + ListTools[Join](%, "_"); + cat(op(%)); + StringTools[SubstituteAll](%, "+0", "0"); + StringTools[CharacterMap](".+-", "xpm", %); + return % +end proc + +> +################################################################################ +> +# +# This function prints a C declaration for a list of names. +# +# Argument: +# name_list = A list of the names. +# name_type = The C type of the names, eg. "double". +# file_name = The file name to write the declaration to. This is +# truncated before writing. +# +> print_name_list_dcl := +> proc( name_list::list({name,string}), +> name_type::string, +> file_name::string ) +> local blanks, separator_string; +> +> ftruncate(file_name); +> +# a sequence of blanks with the same length as name_type +> seq(" ", i=1..length(name_type)); +> +# string to separate names +> separator_string := cat(",\n", %, " "); +> +> map(convert, name_list, string); +> ListTools[Join](%, separator_string); +> cat(op(%)); +> +> fprintf(file_name, +> "%s %s;\n", +> name_type, %); +> +> fclose(file_name); +> NULL; +> end proc; +print_name_list_dcl := proc( +name_list::list({name, string}), name_type::string, file_name::string) +local blanks, separator_string; + ftruncate(file_name); + seq(" ", i = 1 .. length(name_type)); + separator_string := cat(",\n", %, " "); + map(convert, name_list, string); + ListTools[Join](%, separator_string); + cat(op(%)); + fprintf(file_name, "%s %s;\n", name_type, %); + fclose(file_name); + NULL +end proc + +> +################################################################################ +################################################################################ +################################################################################ +> +# +# This function computes a list of all the (integer) points in an +# N-dimensional hypercube, in lexicographic order. The present +# implementation requires N <= 4. +# +# Arguments: +# cmin,cmax = N-element lists of cube minimum/maximum coordinates. +# +# Results: +# The function returns a set of d-element lists giving the coordinates. +# For example, +# hypercube([0,0], [2,1] +# returns +# { [0,0], [0,1], [1,0], [1,1], [2,0], [2,1] } +> hypercube_points := +> proc(cmin::list(integer), cmax::list(integer)) +> local N, i,j,k,l; +> +> N := nops(cmin); +> if (nops(cmax) <> N) +> then error +> "must have same number of dimensions for min and max coordinates!"; +> fi; +> +> if (N = 1) +> then return [seq([i], i=cmin[1]..cmax[1])]; +> elif (N = 2) +> then return [ +> seq( +> seq([i,j], j=cmin[2]..cmax[2]), +> i=cmin[1]..cmax[1]) +> ]; +> elif (N = 3) +> then return [ +> seq( +> seq( +> seq([i,j,k], k=cmin[3]..cmax[3]), +> j=cmin[2]..cmax[2] ), +> i=cmin[1]..cmax[1]) +> ]; +> elif (N = 4) +> then return [ +> seq( +> seq( +> seq( +> seq([i,j,k,l], l=cmin[4]..cmax[4]), +> k=cmin[3]..cmax[3] ), +> j=cmin[2]..cmax[2]), +> i=cmin[1]..cmax[1]) +> ]; +> else +> error "implementation restriction: must have N <= 4, got %1!", N; +> fi; +> end proc; +hypercube_points := proc(cmin::list(integer), cmax::list(integer)) +local N, i, j, k, l; + N := nops(cmin); + if nops(cmax) <> N then error + "must have same number of dimensions for min and max coordinates!" + end if; + if N = 1 then return [seq([i], i = cmin[1] .. cmax[1])] + elif N = 2 then return + [seq(seq([i, j], j = cmin[2] .. cmax[2]), i = cmin[1] .. cmax[1])] + elif N = 3 then return [seq( + seq(seq([i, j, k], k = cmin[3] .. cmax[3]), j = cmin[2] .. cmax[2]) + , i = cmin[1] .. cmax[1])] + elif N = 4 then return [seq(seq(seq( + seq([i, j, k, l], l = cmin[4] .. cmax[4]), k = cmin[3] .. cmax[3]), + j = cmin[2] .. cmax[2]), i = cmin[1] .. cmax[1])] + else error "implementation restriction: must have N <= 4, got %1!", N + end if +end proc + +> +################################################################################ +################################################################################ +################################################################################ +> +# +# This function truncates a file to 0 length if it exists, or creates +# it at that length if it doesn't exist. +# +# Arguments: +# file_name = (in) The name of the file. +# +> ftruncate := +> proc(file_name::string) +> fopen(file_name, 'WRITE'); +> fclose(%); +> NULL; +> end proc; +ftruncate := + + proc(file_name::string) fopen(file_name, 'WRITE'); fclose(%); NULL end proc + +# interpolate.maple -- compute interpolation formulas/coefficients +# $Header: /cactusdevcvs/CactusBase/LocalInterp/src/GeneralizedPolynomial-Uniform/interpolate.maple,v 1.10 2002/08/28 11:31:09 jthorn Exp $ +> +# +# <<>> +# Lagrange_polynomial_interpolant - compute Lagrange polynomial interpolant +# Hermite_polynomial_interpolant - compute Hermite polynomial interpolant +# coeff_as_lc_of_data - coefficients of ... (linear combination of data) +# +# print_coeff__lc_of_data - print C code to compute coefficients +# print_data_var_assign - print C code to assign data-value variables +# print_interp_coeff_var_store - print C code to store coeff vars "somewhere" +# print_interp_cmpt__lc_of_data - print C code for computation of interpolant +# +# coeff_name - name of coefficient of data at a given [m] coordinate +# data_var_name - name of variable storing data value at a given [m] coordinate +# +> +################################################################################ +> +# +# ***** representation of numbers, data values, etc ***** +# +# We use RATIONAL(p.0,q.0) to denote the rational number p/q. +# +# We use DATA(...) to represent the data values being interpolated at a +# specified [m] coordinate, where the arguments are the [m] coordinates. +# +# We use COEFF(...) to represent the molecule coefficient at a specified +# [m] coordinate, where the arguments are the [m] coordinates. +# +# For example, the usual 1-D centered 2nd order 1st derivative molecule +# would be written +# RATIONAL(-1.0,2.0)*DATA(-1) + RATIONA(1.0,2.0)*DATA(1) +# and its coefficients as +# COEFF(-1) = RATIONAL(-1.0,2.0) +# COEFF(1) = RATIONAL(1.0,2.0) +# +> +################################################################################ +################################################################################ +################################################################################ +> +# +# This function computes a Lagrange polynomial interpolant in any +# number of dimensions. +# +# Arguments: +# fn = The interpolation function. This should be a procedure in the +# coordinates, having the coefficients as global variables. For +# example, +# proc(x,y) c00 + c10*x + c01*y end proc +# coeff_list = A set of the interpolation coefficients (coefficients in +# the interpolation function), for example [c00, c10, c01]. +# coord_list = A list of the coordinates (independent variables in the +# interpolation function), for example [x,y]. +# posn_list = A list of positions (each a list of numeric values) where the +# interpolant is to use data, for example hypercube([0,0], [1,1]). +# Any positions may be used; if they're redundant (as in the +# example) the least-squares interpolant is computed. +# +# Results: +# This function returns the interpolating polynomial, in the form of +# an algebraic expression in the coordinates and the data values. +# +> Lagrange_polynomial_interpolant := +> proc( +> fn::procedure, coeff_list::list(name), +> coord_list::list(name), posn_list::list(list(numeric)) +> ) +> local posn, data_eqns, coeff_eqns; +> +# coefficients of interpolating polynomial +> data_eqns := { seq( fn(op(posn))='DATA'(op(posn)) , posn=posn_list ) }; +> coeff_eqns := linalg[leastsqrs](data_eqns, {op(coeff_list)}); +> if (has(coeff_eqns, '_t')) +> then error "interpolation coefficients aren't uniquely determined!"; +> end if; +> +# interpolant as a polynomial in the coordinates +> return subs(coeff_eqns, eval(fn))(op(coord_list)); +> end proc; +Lagrange_polynomial_interpolant := proc(fn::procedure, coeff_list::list(name), +coord_list::list(name), posn_list::list(list(numeric))) +local posn, data_eqns, coeff_eqns; + data_eqns := {seq(fn(op(posn)) = 'DATA'(op(posn)), posn = posn_list)}; + coeff_eqns := linalg[leastsqrs](data_eqns, {op(coeff_list)}); + if has(coeff_eqns, '_t') then + error "interpolation coefficients aren't uniquely determined!" + end if; + return subs(coeff_eqns, eval(fn))(op(coord_list)) +end proc + +> +################################################################################ +> +# +# This function computes a Hermite polynomial interpolant in any +# number of dimensions. This is a polynomial which +# * has values which match the given data DATA() at a specified set of +# points, and +# * has derivatives which match the specified finite-difference derivatives +# of the given data DATA() at a specified set of points +# +# For the derivative matching, we actually match all possible products +# of 1st derivatives, i.e. in 2-D we match dx, dy, and dxy, in 3-D we +# match dx, dy, dz, dxy, dxz, dyz, and dxyz, etc etc. +# +# Arguments: +# fn = The interpolation function. This should be a procedure in the +# coordinates, having the coefficients as global variables. For +# example, +# proc(x,y) +# + c03*y^3 + c13*x*y^3 + c23*x^2*y^3 + c33*x^3*y^3 +# + c02*y^2 + c12*x*y^2 + c22*x^2*y^2 + c32*x^3*y^2 +# + c01*y + c11*x*y + c21*x^2*y + c31*x^3*y +# + c00 + c10*x + c20*x^2 + c30*x^3 +# end proc; +# coeff_set = A set of the interpolation coefficients (coefficients in +# the interpolation function), for example +# { +# c03, c13, c23, c33, +# c02, c12, c22, c32, +# c01, c11, c21, c31, +# c00, c10, c20, c30 +# } +# coord_list = A list of the coordinates (independent variables in the +# interpolation function), for example [x,y]. +# deriv_set = A set of equations of the form +# {coords} = proc +# giving the derivatives which are to be matched, and the +# procedures to compute their finite-difference approximations. +# Each procedure should take N_dims integer arguments specifying +# an evaluation point, and return a suitable linear combination +# of the DATA() for the derivative at that point. For example +# { +# {x} = proc(i::integer, j::integer) +# - 1/2*DATA(i-1,j) + 1/2*DATA(i+1,j) +# end proc +# , +# {y} = proc(i::integer, j::integer) +# - 1/2*DATA(i,j-1) + 1/2*DATA(i,j+1) +# end proc +# , +# {x,y} = proc(i::integer, j::integer) +# - 1/4*DATA(i-1,j+1) + 1/4*DATA(i+1,j+1) +# + 1/4*DATA(i-1,j-1) - 1/4*DATA(i+1,j-1) +# end proc +# } +# fn_posn_set = A set of positions (each a list of numeric values) +# where the interpolant is to match the given data DATA(), +# for example +# {[0,0], [0,1], [1,0], [1,1]} +# deriv_posn_set = A list of positions (each a list of numeric values) +# where the interpolant is to match the derivatives +# specified by deriv_set , for example +# {[0,0], [0,1], [1,0], [1,1]} +# +# Results: +# This function returns the interpolating polynomial, in the form of +# an algebraic expression in the coordinates and the data values. +# +> Hermite_polynomial_interpolant := +> proc( +> fn::procedure, +> coeff_set::set(name), +> coord_list::list(name), +> deriv_set::set(set(name) = procedure), +> fn_posn_set::set(list(numeric)), +> deriv_posn_set::set(list(numeric)) +> ) +> local fn_eqnset, deriv_eqnset, coeff_eqns, subs_eqnset; +> +> +# +# compute a set of equations +# {fn(posn) = DATA(posn)} +# giving the function values to be matched +# +> fn_eqnset := map( +> # return equation that fn(posn) = DATA(posn) +> proc(posn::list(integer)) +> fn(op(posn)) = 'DATA'(op(posn)); +> end proc +> , +> fn_posn_set +> ); +> +> +# +# compute a set of equations +# { diff(fn,coords)(posn) = DERIV(coords)(posn) } +# giving the derivative values to be matched, where DERIV(coords) +# is a placeholder for the appropriate derivative +# +> map( +> # return set of equations for this particular derivative +> proc(deriv_coords::set(name)) +> local deriv_fn; +> fn(op(coord_list)); +> diff(%, op(deriv_coords)); +> deriv_fn := unapply(%, op(coord_list)); +> map( +> proc(posn::list(integer)) +> deriv_fn(op(posn)) = 'DERIV'(op(deriv_coords))(op(posn)); +> end proc +> , +> deriv_posn_set +> ); +> end proc +> , +> map(lhs, deriv_set) +> ); +> deriv_eqnset := `union`(op(%)); +> +> +# +# solve overall set of equations for coefficients +# in terms of DATA() and DERIV() values +# +> coeff_eqns := solve[linear](fn_eqnset union deriv_eqnset, coeff_set); +> if (indets(map(rhs,%)) <> {}) +> then error "no unique solution for coefficients -- %1 eqns for %2 coeffs", +> nops(fn_eqnset union deriv_eqnset), +> nops(coeff_set); +> fi; +> +> +# +# compute a set of substitution equations +# {'DERIV'(coords) = procedure} +# +> subs_eqnset := map( +> proc(eqn::set(name) = procedure) +> 'DERIV'(op(lhs(eqn))) = rhs(eqn); +> end proc +> , +> deriv_set +> ); +> +> +# +# compute the coefficients in terms of the DATA() values +# +> subs(subs_eqnset, coeff_eqns); +> eval(%); +> +# +# compute the interpolant as a polynomial in the coordinates +# +> subs(%, fn(op(coord_list))); +> end proc; +Hermite_polynomial_interpolant := proc(fn::procedure, coeff_set::set(name), +coord_list::list(name), deriv_set::set(set(name) = procedure), +fn_posn_set::set(list(numeric)), deriv_posn_set::set(list(numeric))) +local fn_eqnset, deriv_eqnset, coeff_eqns, subs_eqnset; + fn_eqnset := map( + proc(posn::list(integer)) fn(op(posn)) = 'DATA'(op(posn)) end proc, + fn_posn_set); + map(proc(deriv_coords::set(name)) + local deriv_fn; + fn(op(coord_list)); + diff(%, op(deriv_coords)); + deriv_fn := unapply(%, op(coord_list)); + map(proc(posn::list(integer)) + deriv_fn(op(posn)) = + 'DERIV'(op(deriv_coords))(op(posn)) + end proc, deriv_posn_set) + end proc, map(lhs, deriv_set)); + deriv_eqnset := `union`(op(%)); + coeff_eqns := solve[linear](fn_eqnset union deriv_eqnset, coeff_set); + if indets(map(rhs, %)) <> {} then error + "no unique solution for coefficients -- %1 eqns for %2 coeffs", + nops(fn_eqnset union deriv_eqnset), nops(coeff_set) + end if; + subs_eqnset := map(proc(eqn::(set(name) = procedure)) + 'DERIV'(op(lhs(eqn))) = rhs(eqn) + end proc, deriv_set); + subs(subs_eqnset, coeff_eqns); + eval(%); + subs(%, fn(op(coord_list))) +end proc + +> +################################################################################ +> +# +# This function takes as input an interpolating polynomial, expresses +# it as a linear combination of the data values, and returns the coefficeints +# of that form. +# +# Arguments: +# interpolant = The interpolating polynomial (an algebraic expression +# in the coordinates and the data values). +# posn_list = The same list of data positions used in the interpolant. +# +# Results: +# This function returns the coefficients, as a list of equations of the +# form COEFF(...) = value , where each value is a polynomial in the +# coordinates. The order of the list matches that of posn_list. +# +> coeff_as_lc_of_data := +> proc( +> interpolant::algebraic, +> posn_list::list(list(numeric)) +> ) +> local data_list, interpolant_as_lc_of_data; +> +# interpolant as a linear combination of the data values +> data_list := [ seq( 'DATA'(op(posn)) , posn=posn_list ) ]; +> interpolant_as_lc_of_data := collect(interpolant, data_list); +> +# coefficients of the data values in the linear combination +> return map( +> proc(posn::list(numeric)) +> coeff(interpolant_as_lc_of_data, DATA(op(posn))); +> 'COEFF'(op(posn)) = %; +> end proc +> , +> posn_list +> ); +> end proc; +coeff_as_lc_of_data := proc( +interpolant::algebraic, posn_list::list(list(numeric))) +local data_list, interpolant_as_lc_of_data; + data_list := [seq('DATA'(op(posn)), posn = posn_list)]; + interpolant_as_lc_of_data := collect(interpolant, data_list); + return map(proc(posn::list(numeric)) + coeff(interpolant_as_lc_of_data, DATA(op(posn))); + 'COEFF'(op(posn)) = % + end proc, posn_list) +end proc + +> +################################################################################ +################################################################################ +################################################################################ +> +# +# This function prints C expressions for the coefficients of an +# interpolating polynomial. (The polynomial is expressed as linear +# combinations of the data values with coefficients which are +# RATIONAL(p,q) calls.) +# +# Arguments: +# coeff_list = A list of the coefficients, as returned from +# coeff_as_lc_of_data() . +# coeff_name_prefix = A prefix string for the coefficient names. +# temp_name_type = The C type to be used for Maple-introduced temporary +# names, eg. "double". +# file_name = The file name to write the coefficients to. This is +# truncated before writing. +# +> print_coeff__lc_of_data := +> proc( coeff_list::list(specfunc(numeric,COEFF) = algebraic), +> coeff_name_prefix::string, +> temp_name_type::string, +> file_name::string ) +> global `codegen/C/function/informed`; +> local coeff_list2, cmpt_list, temp_name_list; +> +# convert LHS of each equation from a COEFF() call (eg COEFF(-1,+1)) +# to a Maple/C variable name (eg coeff_I_m1_p1) +> coeff_list2 := map( +> proc(coeff_eqn::specfunc(numeric,COEFF) = algebraic) +> local posn; +> posn := [op(lhs(coeff_eqn))]; +> coeff_name(posn,coeff_name_prefix); +> convert(%, name); # codegen[C] wants LHS +> # to be an actual Maple *name* +> % = fix_rationals(rhs(coeff_eqn)); +> end proc +> , +> coeff_list +> ); +> +# +# generate the C code +# +> +# tell codegen[C] not to warn about unknown RATIONAL() and DATA() "fn calls" +# via undocumented :( global table +> `codegen/C/function/informed`['RATIONAL'] := true; +> `codegen/C/function/informed`['DATA'] := true; +> +> ftruncate(file_name); +> +# optimized computation sequence for all the coefficients +# (may use local variables t0,t1,t2,...) +> cmpt_list := [codegen[optimize](coeff_list2, tryhard)]; +> +# list of the t0,t1,t2,... local variables +> temp_name_list := nonmatching_names(map(lhs,cmpt_list), coeff_name_prefix); +> +# declare the t0,t1,t2,... local variables (if there are any) +> if (nops(temp_name_list) > 0) +> then print_name_list_dcl(%, temp_name_type, file_name); +> fi; +> +# now print the optimized computation sequence +> codegen[C](cmpt_list, filename=file_name); +> +> fclose(file_name); +> +> NULL; +> end proc; +print_coeff__lc_of_data := proc( +coeff_list::list(specfunc(numeric, COEFF) = algebraic), +coeff_name_prefix::string, temp_name_type::string, file_name::string) +local coeff_list2, cmpt_list, temp_name_list; +global `codegen/C/function/informed`; + coeff_list2 := map(proc( + coeff_eqn::(specfunc(numeric, COEFF) = algebraic)) + local posn; + posn := [op(lhs(coeff_eqn))]; + coeff_name(posn, coeff_name_prefix); + convert(%, name); + % = fix_rationals(rhs(coeff_eqn)) + end proc, coeff_list); + `codegen/C/function/informed`['RATIONAL'] := true; + `codegen/C/function/informed`['DATA'] := true; + ftruncate(file_name); + cmpt_list := [codegen[optimize](coeff_list2, tryhard)]; + temp_name_list := + nonmatching_names(map(lhs, cmpt_list), coeff_name_prefix); + if 0 < nops(temp_name_list) then + print_name_list_dcl(%, temp_name_type, file_name) + end if; + codegen[C](cmpt_list, filename = file_name); + fclose(file_name); + NULL +end proc + +> +################################################################################ +> +# +# This function prints a sequence of C expression to assign the data-value +# variables, eg +# data_m1_p1 = DATA(-1,1); +# +# Arguments: +# posn_list = The same list of positions as was used to compute the +# interpolating polynomial. +# data_var_name_prefix = A prefix string for the data variable names. +# file_name = The file name to write the coefficients to. This is +# truncated before writing. +# +> print_data_var_assign := +> proc( +> posn_list::list(list(numeric)), +> data_var_name_prefix::string, +> file_name::string +> ) +> +> ftruncate(file_name); +> map( +> proc(posn::list(numeric)) +> fprintf(file_name, +> "%s = %a;\n", +> data_var_name(posn,data_var_name_prefix), +> DATA(op(posn))); +> end proc +> , +> posn_list +> ); +> fclose(file_name); +> +> NULL; +> end proc; +print_data_var_assign := proc(posn_list::list(list(numeric)), +data_var_name_prefix::string, file_name::string) + ftruncate(file_name); + map(proc(posn::list(numeric)) + fprintf(file_name, "%s = %a;\n", + data_var_name(posn, data_var_name_prefix), DATA(op(posn))) + end proc, posn_list); + fclose(file_name); + NULL +end proc + +> +################################################################################ +> +# +# This function prints a sequence of C expression to store the interpolation +# coefficients in COEFF(...) expressions, eg +# COEFF(1,-1) = factor * coeff_dx_p1_m1; +# +# Arguments: +# posn_list = The same list of positions as was used to compute the +# interpolating polynomial. +# RHS_factor_name = If this string is non-empty, then the coefficient is +# multiplied by this factor before being stored, eg +# setting this to "factor" would give the example above. +# If this string is empty (""), the multiplication is +# omitted, eg +# COEFF(1,-1) = coeff_dx_p1_m1; +# coeff_name_prefix = A prefix string for the coefficient names. +# file_name = The file name to write the coefficients to. This is +# truncated before writing. +# +> print_interp_coeff_var_store := +> proc( +> posn_list::list(list(numeric)), +> RHS_factor_name::string, +> coeff_name_prefix::string, +> file_name::string +> ) +> +> ftruncate(file_name); +> map( +> proc(posn::list(numeric)) +> if (length(RHS_factor_name) > 0) +> then fprintf(file_name, +> "%a = %s * %s;\n", +> 'COEFF'(op(posn)), +> RHS_factor_name, +> coeff_name(posn,coeff_name_prefix)); +> else fprintf(file_name, +> "%a = %s;\n", +> 'COEFF'(op(posn)), +> coeff_name(posn,coeff_name_prefix)); +> end if; +> end proc +> , +> posn_list +> ); +> fclose(file_name); +> +> NULL; +> end proc; +print_interp_coeff_var_store := proc(posn_list::list(list(numeric)), +RHS_factor_name::string, coeff_name_prefix::string, file_name::string) + ftruncate(file_name); + map(proc(posn::list(numeric)) + if 0 < length(RHS_factor_name) then fprintf(file_name, + "%a = %s * %s;\n", 'COEFF'(op(posn)), RHS_factor_name, + coeff_name(posn, coeff_name_prefix)) + else fprintf(file_name, "%a = %s;\n", 'COEFF'(op(posn)), + coeff_name(posn, coeff_name_prefix)) + end if + end proc, posn_list); + fclose(file_name); + NULL +end proc + +> +################################################################################ +> +# +# This function prints a C expression to compute the interpolant, +# using the coefficients computed by print_coeff__lc_of_data() +# (i.e. expressing the interpolant as a linear combination of the +# data values). +# +# Arguments: +# posn_list = The same list of positions as was used to compute the +# interpolating polynomial. +# result_var_name = The (string) name of the variable to which the +# result is to be assigned. +# coeff_name_prefix = A prefix string for the coefficient names. +# data_var_name_prefix = A prefix string for the data variable names. +# file_name = The file name to write the coefficients to. This is +# truncated before writing. +# +> print_interp_cmpt__lc_of_data := +> proc( +> posn_list::list(list(numeric)), +> result_var_name::string, +> coeff_name_prefix::string, +> data_var_name_prefix::string, +> file_name::string +> ) +> +> ftruncate(file_name); +> +> fprintf(file_name, "%s =\n", result_var_name); +> +# list of "coeff*data_var" terms +> map( +> proc(posn::list(numeric)) +> sprintf("%s*%s", +> coeff_name(posn,coeff_name_prefix), +> data_var_name(posn,data_var_name_prefix)); +> end proc +> , +> posn_list +> ); +> +> ListTools[Join](%, "\n\t+ "); +> cat(op(%)); +> fprintf(file_name, "\t%s;\n", %); +> +> fclose(file_name); +> +> NULL; +> end proc; +print_interp_cmpt__lc_of_data := proc(posn_list::list(list(numeric)), +result_var_name::string, coeff_name_prefix::string, +data_var_name_prefix::string, file_name::string) + ftruncate(file_name); + fprintf(file_name, "%s =\n", result_var_name); + map(proc(posn::list(numeric)) + sprintf("%s*%s", coeff_name(posn, coeff_name_prefix), + data_var_name(posn, data_var_name_prefix)) + end proc, posn_list); + ListTools[Join](%, "\n\t+ "); + cat(op(%)); + fprintf(file_name, "\t%s;\n", %); + fclose(file_name); + NULL +end proc + +> +################################################################################ +################################################################################ +################################################################################ +> +# +# This function computes the name of the coefficient of the data at a +# given [m] position, i.e. it encapsulates our naming convention for this. +# +# Arguments: +# posn = (in) The [m] coordinates. +# name_prefix = A prefix string for the coefficient name. +# +# Results: +# The function returns the coefficient, as a Maple string. +# +> coeff_name := +> proc(posn::list(numeric), name_prefix::string) +> cat(name_prefix, sprint_numeric_list(posn)); +> end proc; +coeff_name := proc(posn::list(numeric), name_prefix::string) + cat(name_prefix, sprint_numeric_list(posn)) +end proc + +> +################################################################################ +> +# +# This function computes the name of the variable in which the C code +# will store the input data at a given [m] position, i.e. it encapsulates +# our naming convention for this. +# +# Arguments: +# posn = (in) The [m] coordinates. +# name_prefix = A prefix string for the variable name. +# +# Results: +# The function returns the variable name, as a Maple string. +# +> data_var_name := +> proc(posn::list(numeric), name_prefix::string) +> cat(name_prefix, sprint_numeric_list(posn)); +> end proc; +data_var_name := proc(posn::list(numeric), name_prefix::string) + cat(name_prefix, sprint_numeric_list(posn)) +end proc + +# Maple code to compute lists of point positions in hypercube-shaped molecules +# $Header: /cactusdevcvs/CactusBase/LocalInterp/src/GeneralizedPolynomial-Uniform/common/cube_posns.maple,v 1.3 2002/08/20 16:56:41 jthorn Exp $ +> +################################################################################ +> +# +# 1D interpolation points +# +> posn_list_1d_size2 := hypercube_points([ 0], [+1]); + posn_list_1d_size2 := [[0], [1]] + +> posn_list_1d_size3 := hypercube_points([-1], [+1]); + posn_list_1d_size3 := [[-1], [0], [1]] + +> posn_list_1d_size4 := hypercube_points([-1], [+2]); + posn_list_1d_size4 := [[-1], [0], [1], [2]] + +> posn_list_1d_size5 := hypercube_points([-2], [+2]); + posn_list_1d_size5 := [[-2], [-1], [0], [1], [2]] + +> posn_list_1d_size6 := hypercube_points([-2], [+3]); + posn_list_1d_size6 := [[-2], [-1], [0], [1], [2], [3]] + +> posn_list_1d_size7 := hypercube_points([-3], [+3]); + posn_list_1d_size7 := [[-3], [-2], [-1], [0], [1], [2], [3]] + +> +################################################################################ +> +# +# 2D interpolation points (Fortran ordering) +# +> posn_list_2d_size2 := map(ListTools[Reverse], +> hypercube_points([ 0, 0], [+1,+1])); + posn_list_2d_size2 := [[0, 0], [1, 0], [0, 1], [1, 1]] + +> posn_list_2d_size3 := map(ListTools[Reverse], +> hypercube_points([-1,-1], [+1,+1])); +posn_list_2d_size3 := [[-1, -1], [0, -1], [1, -1], [-1, 0], [0, 0], [1, 0], + + [-1, 1], [0, 1], [1, 1]] + +> posn_list_2d_size4 := map(ListTools[Reverse], +> hypercube_points([-1,-1], [+2,+2])); +posn_list_2d_size4 := [[-1, -1], [0, -1], [1, -1], [2, -1], [-1, 0], [0, 0], + + [1, 0], [2, 0], [-1, 1], [0, 1], [1, 1], [2, 1], [-1, 2], [0, 2], [1, 2], + + [2, 2]] + +> posn_list_2d_size5 := map(ListTools[Reverse], +> hypercube_points([-2,-2], [+2,+2])); +posn_list_2d_size5 := [[-2, -2], [-1, -2], [0, -2], [1, -2], [2, -2], [-2, -1], + + [-1, -1], [0, -1], [1, -1], [2, -1], [-2, 0], [-1, 0], [0, 0], [1, 0], + + [2, 0], [-2, 1], [-1, 1], [0, 1], [1, 1], [2, 1], [-2, 2], [-1, 2], [0, 2], + + [1, 2], [2, 2]] + +> posn_list_2d_size6 := map(ListTools[Reverse], +> hypercube_points([-2,-2], [+3,+3])); +posn_list_2d_size6 := [[-2, -2], [-1, -2], [0, -2], [1, -2], [2, -2], [3, -2], + + [-2, -1], [-1, -1], [0, -1], [1, -1], [2, -1], [3, -1], [-2, 0], [-1, 0], + + [0, 0], [1, 0], [2, 0], [3, 0], [-2, 1], [-1, 1], [0, 1], [1, 1], [2, 1], + + [3, 1], [-2, 2], [-1, 2], [0, 2], [1, 2], [2, 2], [3, 2], [-2, 3], [-1, 3], + + [0, 3], [1, 3], [2, 3], [3, 3]] + +> +################################################################################ +> +# +# 3D interpolation points (Fortran ordering) +# +> posn_list_3d_size2 := map(ListTools[Reverse], +> hypercube_points([ 0, 0, 0], [+1,+1,+1])); +posn_list_3d_size2 := [[0, 0, 0], [1, 0, 0], [0, 1, 0], [1, 1, 0], [0, 0, 1], + + [1, 0, 1], [0, 1, 1], [1, 1, 1]] + +> posn_list_3d_size3 := map(ListTools[Reverse], +> hypercube_points([-1,-1,-1], [+1,+1,+1])); +posn_list_3d_size3 := [[-1, -1, -1], [0, -1, -1], [1, -1, -1], [-1, 0, -1], + + [0, 0, -1], [1, 0, -1], [-1, 1, -1], [0, 1, -1], [1, 1, -1], [-1, -1, 0], + + [0, -1, 0], [1, -1, 0], [-1, 0, 0], [0, 0, 0], [1, 0, 0], [-1, 1, 0], + + [0, 1, 0], [1, 1, 0], [-1, -1, 1], [0, -1, 1], [1, -1, 1], [-1, 0, 1], + + [0, 0, 1], [1, 0, 1], [-1, 1, 1], [0, 1, 1], [1, 1, 1]] + +> posn_list_3d_size4 := map(ListTools[Reverse], +> hypercube_points([-1,-1,-1], [+2,+2,+2])); +posn_list_3d_size4 := [[-1, -1, -1], [0, -1, -1], [1, -1, -1], [2, -1, -1], + + [-1, 0, -1], [0, 0, -1], [1, 0, -1], [2, 0, -1], [-1, 1, -1], [0, 1, -1], + + [1, 1, -1], [2, 1, -1], [-1, 2, -1], [0, 2, -1], [1, 2, -1], [2, 2, -1], + + [-1, -1, 0], [0, -1, 0], [1, -1, 0], [2, -1, 0], [-1, 0, 0], [0, 0, 0], + + [1, 0, 0], [2, 0, 0], [-1, 1, 0], [0, 1, 0], [1, 1, 0], [2, 1, 0], + + [-1, 2, 0], [0, 2, 0], [1, 2, 0], [2, 2, 0], [-1, -1, 1], [0, -1, 1], + + [1, -1, 1], [2, -1, 1], [-1, 0, 1], [0, 0, 1], [1, 0, 1], [2, 0, 1], + + [-1, 1, 1], [0, 1, 1], [1, 1, 1], [2, 1, 1], [-1, 2, 1], [0, 2, 1], + + [1, 2, 1], [2, 2, 1], [-1, -1, 2], [0, -1, 2], [1, -1, 2], [2, -1, 2], + + [-1, 0, 2], [0, 0, 2], [1, 0, 2], [2, 0, 2], [-1, 1, 2], [0, 1, 2], + + [1, 1, 2], [2, 1, 2], [-1, 2, 2], [0, 2, 2], [1, 2, 2], [2, 2, 2]] + +> posn_list_3d_size5 := map(ListTools[Reverse], +> hypercube_points([-2,-2,-2], [+2,+2,+2])); +posn_list_3d_size5 := [[-2, -2, -2], [-1, -2, -2], [0, -2, -2], [1, -2, -2], + + [2, -2, -2], [-2, -1, -2], [-1, -1, -2], [0, -1, -2], [1, -1, -2], + + [2, -1, -2], [-2, 0, -2], [-1, 0, -2], [0, 0, -2], [1, 0, -2], [2, 0, -2], + + [-2, 1, -2], [-1, 1, -2], [0, 1, -2], [1, 1, -2], [2, 1, -2], [-2, 2, -2], + + [-1, 2, -2], [0, 2, -2], [1, 2, -2], [2, 2, -2], [-2, -2, -1], [-1, -2, -1], + + [0, -2, -1], [1, -2, -1], [2, -2, -1], [-2, -1, -1], [-1, -1, -1], + + [0, -1, -1], [1, -1, -1], [2, -1, -1], [-2, 0, -1], [-1, 0, -1], [0, 0, -1], + + [1, 0, -1], [2, 0, -1], [-2, 1, -1], [-1, 1, -1], [0, 1, -1], [1, 1, -1], + + [2, 1, -1], [-2, 2, -1], [-1, 2, -1], [0, 2, -1], [1, 2, -1], [2, 2, -1], + + [-2, -2, 0], [-1, -2, 0], [0, -2, 0], [1, -2, 0], [2, -2, 0], [-2, -1, 0], + + [-1, -1, 0], [0, -1, 0], [1, -1, 0], [2, -1, 0], [-2, 0, 0], [-1, 0, 0], + + [0, 0, 0], [1, 0, 0], [2, 0, 0], [-2, 1, 0], [-1, 1, 0], [0, 1, 0], + + [1, 1, 0], [2, 1, 0], [-2, 2, 0], [-1, 2, 0], [0, 2, 0], [1, 2, 0], + + [2, 2, 0], [-2, -2, 1], [-1, -2, 1], [0, -2, 1], [1, -2, 1], [2, -2, 1], + + [-2, -1, 1], [-1, -1, 1], [0, -1, 1], [1, -1, 1], [2, -1, 1], [-2, 0, 1], + + [-1, 0, 1], [0, 0, 1], [1, 0, 1], [2, 0, 1], [-2, 1, 1], [-1, 1, 1], + + [0, 1, 1], [1, 1, 1], [2, 1, 1], [-2, 2, 1], [-1, 2, 1], [0, 2, 1], + + [1, 2, 1], [2, 2, 1], [-2, -2, 2], [-1, -2, 2], [0, -2, 2], [1, -2, 2], + + [2, -2, 2], [-2, -1, 2], [-1, -1, 2], [0, -1, 2], [1, -1, 2], [2, -1, 2], + + [-2, 0, 2], [-1, 0, 2], [0, 0, 2], [1, 0, 2], [2, 0, 2], [-2, 1, 2], + + [-1, 1, 2], [0, 1, 2], [1, 1, 2], [2, 1, 2], [-2, 2, 2], [-1, 2, 2], + + [0, 2, 2], [1, 2, 2], [2, 2, 2]] + +> posn_list_3d_size6 := map(ListTools[Reverse], +> hypercube_points([-2,-2,-2], [+3,+3,+3])); +posn_list_3d_size6 := [[-2, -2, -2], [-1, -2, -2], [0, -2, -2], [1, -2, -2], + + [2, -2, -2], [3, -2, -2], [-2, -1, -2], [-1, -1, -2], [0, -1, -2], + + [1, -1, -2], [2, -1, -2], [3, -1, -2], [-2, 0, -2], [-1, 0, -2], [0, 0, -2], + + [1, 0, -2], [2, 0, -2], [3, 0, -2], [-2, 1, -2], [-1, 1, -2], [0, 1, -2], + + [1, 1, -2], [2, 1, -2], [3, 1, -2], [-2, 2, -2], [-1, 2, -2], [0, 2, -2], + + [1, 2, -2], [2, 2, -2], [3, 2, -2], [-2, 3, -2], [-1, 3, -2], [0, 3, -2], + + [1, 3, -2], [2, 3, -2], [3, 3, -2], [-2, -2, -1], [-1, -2, -1], [0, -2, -1], + + [1, -2, -1], [2, -2, -1], [3, -2, -1], [-2, -1, -1], [-1, -1, -1], + + [0, -1, -1], [1, -1, -1], [2, -1, -1], [3, -1, -1], [-2, 0, -1], + + [-1, 0, -1], [0, 0, -1], [1, 0, -1], [2, 0, -1], [3, 0, -1], [-2, 1, -1], + + [-1, 1, -1], [0, 1, -1], [1, 1, -1], [2, 1, -1], [3, 1, -1], [-2, 2, -1], + + [-1, 2, -1], [0, 2, -1], [1, 2, -1], [2, 2, -1], [3, 2, -1], [-2, 3, -1], + + [-1, 3, -1], [0, 3, -1], [1, 3, -1], [2, 3, -1], [3, 3, -1], [-2, -2, 0], + + [-1, -2, 0], [0, -2, 0], [1, -2, 0], [2, -2, 0], [3, -2, 0], [-2, -1, 0], + + [-1, -1, 0], [0, -1, 0], [1, -1, 0], [2, -1, 0], [3, -1, 0], [-2, 0, 0], + + [-1, 0, 0], [0, 0, 0], [1, 0, 0], [2, 0, 0], [3, 0, 0], [-2, 1, 0], + + [-1, 1, 0], [0, 1, 0], [1, 1, 0], [2, 1, 0], [3, 1, 0], [-2, 2, 0], + + [-1, 2, 0], [0, 2, 0], [1, 2, 0], [2, 2, 0], [3, 2, 0], [-2, 3, 0], + + [-1, 3, 0], [0, 3, 0], [1, 3, 0], [2, 3, 0], [3, 3, 0], [-2, -2, 1], + + [-1, -2, 1], [0, -2, 1], [1, -2, 1], [2, -2, 1], [3, -2, 1], [-2, -1, 1], + + [-1, -1, 1], [0, -1, 1], [1, -1, 1], [2, -1, 1], [3, -1, 1], [-2, 0, 1], + + [-1, 0, 1], [0, 0, 1], [1, 0, 1], [2, 0, 1], [3, 0, 1], [-2, 1, 1], + + [-1, 1, 1], [0, 1, 1], [1, 1, 1], [2, 1, 1], [3, 1, 1], [-2, 2, 1], + + [-1, 2, 1], [0, 2, 1], [1, 2, 1], [2, 2, 1], [3, 2, 1], [-2, 3, 1], + + [-1, 3, 1], [0, 3, 1], [1, 3, 1], [2, 3, 1], [3, 3, 1], [-2, -2, 2], + + [-1, -2, 2], [0, -2, 2], [1, -2, 2], [2, -2, 2], [3, -2, 2], [-2, -1, 2], + + [-1, -1, 2], [0, -1, 2], [1, -1, 2], [2, -1, 2], [3, -1, 2], [-2, 0, 2], + + [-1, 0, 2], [0, 0, 2], [1, 0, 2], [2, 0, 2], [3, 0, 2], [-2, 1, 2], + + [-1, 1, 2], [0, 1, 2], [1, 1, 2], [2, 1, 2], [3, 1, 2], [-2, 2, 2], + + [-1, 2, 2], [0, 2, 2], [1, 2, 2], [2, 2, 2], [3, 2, 2], [-2, 3, 2], + + [-1, 3, 2], [0, 3, 2], [1, 3, 2], [2, 3, 2], [3, 3, 2], [-2, -2, 3], + + [-1, -2, 3], [0, -2, 3], [1, -2, 3], [2, -2, 3], [3, -2, 3], [-2, -1, 3], + + [-1, -1, 3], [0, -1, 3], [1, -1, 3], [2, -1, 3], [3, -1, 3], [-2, 0, 3], + + [-1, 0, 3], [0, 0, 3], [1, 0, 3], [2, 0, 3], [3, 0, 3], [-2, 1, 3], + + [-1, 1, 3], [0, 1, 3], [1, 1, 3], [2, 1, 3], [3, 1, 3], [-2, 2, 3], + + [-1, 2, 3], [0, 2, 3], [1, 2, 3], [2, 2, 3], [3, 2, 3], [-2, 3, 3], + + [-1, 3, 3], [0, 3, 3], [1, 3, 3], [2, 3, 3], [3, 3, 3]] + +# Maple code to define Hermite interpolating functions/coords/coeffs/mols +# $Header:$ +> +# +# Note: +# interpolation order 2 <==> fn order 3, 3-point (2nd order) derivative mols +# interpolation order 3 <==> fn order 3, 5-point (4th order) derivative mols +# interpolation order 4 <==> fn order 5, 5-point (4th order) derivative mols +# +> +################################################################################ +################################################################################ +################################################################################ +> +# +# derivative primitives +# (argument is a procedure which should map m into the DATA() reference) +# +> +> dx_3point := +> proc(f::procedure(integer)) +> (1/2) * (-f(-1) + f(+1)) +> end proc; + dx_3point := proc(f::procedure(integer)) -1/2*f(-1) + 1/2*f(1) end proc + +> +> dx_5point := +> proc(f::procedure(integer)) +> (1/12) * (f(-2) - 8*f(-1) + 8*f(+1) - f(+2)) +> end proc; +dx_5point := proc(f::procedure(integer)) + 1/12*f(-2) - 2/3*f(-1) + 2/3*f(1) - 1/12*f(2) +end proc + +> +################################################################################ +################################################################################ +################################################################################ +> +# +# 1-D interpolating functions +# +> +> fn_1d_order3 := +> proc(x) +> + c0 + c1*x + c2*x^2 + c3*x^3 +> end proc; + fn_1d_order3 := proc(x) c0 + c1*x + c2*x^2 + c3*x^3 end proc + +> +> fn_1d_order5 := +> proc(x) +> + c0 + c1*x + c2*x^2 + c3*x^3 + c4*x^4 + c5*x^5 +> end proc; + fn_1d_order5 := proc(x) c0 + c1*x + c2*x^2 + c3*x^3 + c4*x^4 + c5*x^5 end proc + +> +################################################################################ +> +# coordinates for 1-D interpolating functions +> coord_list_1d := [x]; + coord_list_1d := [x] + +> +################################################################################ +> +# +# coefficients in 1-D interpolating functions +# +> +> coeff_set_1d_order3 := {c0, c1, c2, c3}; + coeff_set_1d_order3 := {c0, c1, c2, c3} + +> coeff_set_1d_order5 := {c0, c1, c2, c3, c4, c5}; + coeff_set_1d_order5 := {c0, c1, c2, c3, c4, c5} + +> +################################################################################ +> +# +# 1-D derivative molecules (argument = molecule center) +# +> +> deriv_1d_dx_3point := proc(i::integer) +> dx_3point(proc(mi::integer) DATA(i+mi) end proc) +> end proc; +deriv_1d_dx_3point := proc(i::integer) + dx_3point(proc(mi::integer) DATA(i + mi) end proc) +end proc + +> deriv_1d_dx_5point := proc(i::integer) +> dx_5point(proc(mi::integer) DATA(i+mi) end proc) +> end proc; +deriv_1d_dx_5point := proc(i::integer) + dx_5point(proc(mi::integer) DATA(i + mi) end proc) +end proc + +> +################################################################################ +################################################################################ +################################################################################ +> +# +# 2-D interpolating functions +# +> +> fn_2d_order3 := +> proc(x,y) +> + c03*y^3 + c13*x*y^3 + c23*x^2*y^3 + c33*x^3*y^3 +> + c02*y^2 + c12*x*y^2 + c22*x^2*y^2 + c32*x^3*y^2 +> + c01*y + c11*x*y + c21*x^2*y + c31*x^3*y +> + c00 + c10*x + c20*x^2 + c30*x^3 +> end proc; +fn_2d_order3 := proc(x, y) + c03*y^3 + c13*x*y^3 + c23*x^2*y^3 + c33*x^3*y^3 + c02*y^2 + c12*x*y^2 + + c22*x^2*y^2 + c32*x^3*y^2 + c01*y + c11*x*y + c21*x^2*y + c31*x^3*y + + c00 + c10*x + c20*x^2 + c30*x^3 +end proc + +> +> fn_2d_order5 := +> proc(x,y) +> + c05*y^5 + c15*x*y^5 + c25*x^2*y^5 + c35*x^3*y^5 + c45*x^4*y^5 + c55*x^5*y^5 +> + c04*y^4 + c14*x*y^4 + c24*x^2*y^4 + c34*x^3*y^4 + c44*x^4*y^4 + c54*x^5*y^4 +> + c03*y^3 + c13*x*y^3 + c23*x^2*y^3 + c33*x^3*y^3 + c43*x^4*y^3 + c53*x^5*y^3 +> + c02*y^2 + c12*x*y^2 + c22*x^2*y^2 + c32*x^3*y^2 + c42*x^4*y^2 + c52*x^5*y^2 +> + c01*y + c11*x*y + c21*x^2*y + c31*x^3*y + c41*x^4*y + c51*x^5*y +> + c00 + c10*x + c20*x^2 + c30*x^3 + c40*x^4 + c50*x^5 +> end proc; +fn_2d_order5 := proc(x, y) + c34*x^3*y^4 + c14*x*y^4 + c03*y^3 + c02*y^2 + c01*y + c10*x + c20*x^2 + + c30*x^3 + c05*y^5 + c04*y^4 + c40*x^4 + c50*x^5 + c13*x*y^3 + + c23*x^2*y^3 + c00 + c33*x^3*y^3 + c12*x*y^2 + c22*x^2*y^2 + + c32*x^3*y^2 + c11*x*y + c21*x^2*y + c31*x^3*y + c15*x*y^5 + + c25*x^2*y^5 + c35*x^3*y^5 + c45*x^4*y^5 + c55*x^5*y^5 + c24*x^2*y^4 + + c44*x^4*y^4 + c54*x^5*y^4 + c43*x^4*y^3 + c53*x^5*y^3 + c42*x^4*y^2 + + c52*x^5*y^2 + c41*x^4*y + c51*x^5*y +end proc + +> +################################################################################ +> +# coordinates for 2-D interpolating functions +> coord_list_2d := [x,y]; + coord_list_2d := [x, y] + +> +################################################################################ +> +# +# coefficients in 2-D interpolating functions +# +> +> coeff_set_2d_order3 := { +> c03, c13, c23, c33, +> c02, c12, c22, c32, +> c01, c11, c21, c31, +> c00, c10, c20, c30 +> }; +coeff_set_2d_order3 := {c03, c13, c23, c33, c02, c12, c22, c32, c01, c11, c21, + + c31, c00, c10, c20, c30} + +> +> coeff_set_2d_order5 := { +> c05, c15, c25, c35, c45, c55, +> c04, c14, c24, c34, c44, c54, +> c03, c13, c23, c33, c43, c53, +> c02, c12, c22, c32, c42, c52, +> c01, c11, c21, c31, c41, c51, +> c00, c10, c20, c30, c40, c50 +> }; +coeff_set_2d_order5 := {c03, c13, c23, c33, c02, c12, c22, c32, c01, c11, c21, + + c31, c00, c10, c20, c30, c05, c15, c25, c35, c45, c55, c04, c14, c24, c34, + + c44, c54, c43, c53, c42, c52, c41, c51, c40, c50} + +> +################################################################################ +> +# +# 2-D derivative molecules (arguments = molecule center) +# +> +> deriv_2d_dx_3point := proc(i::integer, j::integer) +> dx_3point( +> proc(mi::integer) DATA(i+mi,j) end proc +> ) +> end proc; +deriv_2d_dx_3point := proc(i::integer, j::integer) + dx_3point(proc(mi::integer) DATA(i + mi, j) end proc) +end proc + +> deriv_2d_dy_3point := proc(i::integer, j::integer) +> dx_3point( +> proc(mj::integer) DATA(i,j+mj) end proc +> ) +> end proc; +deriv_2d_dy_3point := proc(i::integer, j::integer) + dx_3point(proc(mj::integer) DATA(i, j + mj) end proc) +end proc + +> deriv_2d_dxy_3point := proc(i::integer, j::integer) +> dx_3point( +> proc(mi::integer) +> dx_3point(proc(mj::integer) DATA(i+mi,j+mj) end proc) +> end proc +> ) +> end proc; +deriv_2d_dxy_3point := proc(i::integer, j::integer) + dx_3point(proc(mi::integer) + dx_3point(proc(mj::integer) DATA(i + mi, j + mj) end proc) + end proc) +end proc + +> +> deriv_2d_dx_5point := proc(i::integer, j::integer) +> dx_5point( +> proc(mi::integer) DATA(i+mi,j) end proc +> ) +> end proc; +deriv_2d_dx_5point := proc(i::integer, j::integer) + dx_5point(proc(mi::integer) DATA(i + mi, j) end proc) +end proc + +> deriv_2d_dy_5point := proc(i::integer, j::integer) +> dx_5point( +> proc(mj::integer) DATA(i,j+mj) end proc +> ) +> end proc; +deriv_2d_dy_5point := proc(i::integer, j::integer) + dx_5point(proc(mj::integer) DATA(i, j + mj) end proc) +end proc + +> deriv_2d_dxy_5point := proc(i::integer, j::integer) +> dx_5point( +> proc(mi::integer) +> dx_5point(proc(mj::integer) DATA(i+mi,j+mj) end proc) +> end proc +> ) +> end proc; +deriv_2d_dxy_5point := proc(i::integer, j::integer) + dx_5point(proc(mi::integer) + dx_5point(proc(mj::integer) DATA(i + mi, j + mj) end proc) + end proc) +end proc + +> +################################################################################ +################################################################################ +################################################################################ +> +# +# 3-D interpolating functions +# +> +> fn_3d_order3 := +> proc(x,y,z) +# z^3 --------------------------------------------------------------- +> + c033*y^3*z^3 + c133*x*y^3*z^3 + c233*x^2*y^3*z^3 + c333*x^3*y^3*z^3 +> + c023*y^2*z^3 + c123*x*y^2*z^3 + c223*x^2*y^2*z^3 + c323*x^3*y^2*z^3 +> + c013*y *z^3 + c113*x*y *z^3 + c213*x^2*y *z^3 + c313*x^3*y *z^3 +> + c003 *z^3 + c103*x *z^3 + c203*x^2 *z^3 + c303*x^3 *z^3 +# z^2 --------------------------------------------------------------- +> + c032*y^3*z^2 + c132*x*y^3*z^2 + c232*x^2*y^3*z^2 + c332*x^3*y^3*z^2 +> + c022*y^2*z^2 + c122*x*y^2*z^2 + c222*x^2*y^2*z^2 + c322*x^3*y^2*z^2 +> + c012*y *z^2 + c112*x*y *z^2 + c212*x^2*y *z^2 + c312*x^3*y *z^2 +> + c002 *z^2 + c102*x *z^2 + c202*x^2 *z^2 + c302*x^3 *z^2 +# z^1 --------------------------------------------------------------- +> + c031*y^3*z + c131*x*y^3*z + c231*x^2*y^3*z + c331*x^3*y^3*z +> + c021*y^2*z + c121*x*y^2*z + c221*x^2*y^2*z + c321*x^3*y^2*z +> + c011*y *z + c111*x*y *z + c211*x^2*y *z + c311*x^3*y *z +> + c001 *z + c101*x *z + c201*x^2 *z + c301*x^3 *z +# z^0 --------------------------------------------------------------- +> + c030*y^3 + c130*x*y^3 + c230*x^2*y^3 + c330*x^3*y^3 +> + c020*y^2 + c120*x*y^2 + c220*x^2*y^2 + c320*x^3*y^2 +> + c010*y + c110*x*y + c210*x^2*y + c310*x^3*y +> + c000 + c100*x + c200*x^2 + c300*x^3 +> end proc; +fn_3d_order3 := proc(x, y, z) + c330*x^3*y^3 + c031*y^3*z + c103*x*z^3 + c022*y^2*z^2 + c301*x^3*z + + c133*x*y^3*z^3 + c233*x^2*y^3*z^3 + c333*x^3*y^3*z^3 + + c123*x*y^2*z^3 + c223*x^2*y^2*z^3 + c323*x^3*y^2*z^3 + c113*x*y*z^3 + + c213*x^2*y*z^3 + c313*x^3*y*z^3 + c132*x*y^3*z^2 + c232*x^2*y^3*z^2 + + c332*x^3*y^3*z^2 + c122*x*y^2*z^2 + c222*x^2*y^2*z^2 + + c322*x^3*y^2*z^2 + c112*x*y*z^2 + c212*x^2*y*z^2 + c312*x^3*y*z^2 + + c131*x*y^3*z + c231*x^2*y^3*z + c331*x^3*y^3*z + c121*x*y^2*z + + c221*x^2*y^2*z + c321*x^3*y^2*z + c111*x*y*z + c211*x^2*y*z + + c311*x^3*y*z + c033*y^3*z^3 + c023*y^2*z^3 + c013*y*z^3 + + c203*x^2*z^3 + c303*x^3*z^3 + c032*y^3*z^2 + c003*z^3 + c002*z^2 + + c001*z + c030*y^3 + c020*y^2 + c010*y + c000 + c100*x + c200*x^2 + + c300*x^3 + c012*y*z^2 + c102*x*z^2 + c202*x^2*z^2 + c302*x^3*z^2 + + c021*y^2*z + c011*y*z + c101*x*z + c201*x^2*z + c130*x*y^3 + + c230*x^2*y^3 + c120*x*y^2 + c220*x^2*y^2 + c320*x^3*y^2 + c110*x*y + + c210*x^2*y + c310*x^3*y +end proc + +> +> fn_3d_order5 := +> proc(x,y,z) +# z^5 +> + c055*y^5*z^5 + c155*x*y^5*z^5 + c255*x^2*y^5*z^5 + c355*x^3*y^5*z^5 + c455*x^4*y^5*z^5 + c555*x^5*y^5*z^5 +> + c045*y^4*z^5 + c145*x*y^4*z^5 + c245*x^2*y^4*z^5 + c345*x^3*y^4*z^5 + c445*x^4*y^4*z^5 + c545*x^5*y^4*z^5 +> + c035*y^3*z^5 + c135*x*y^3*z^5 + c235*x^2*y^3*z^5 + c335*x^3*y^3*z^5 + c435*x^4*y^3*z^5 + c535*x^5*y^3*z^5 +> + c025*y^2*z^5 + c125*x*y^2*z^5 + c225*x^2*y^2*z^5 + c325*x^3*y^2*z^5 + c425*x^4*y^2*z^5 + c525*x^5*y^2*z^5 +> + c015*y *z^5 + c115*x*y *z^5 + c215*x^2*y *z^5 + c315*x^3*y *z^5 + c415*x^4*y *z^5 + c515*x^5*y *z^5 +> + c005 *z^5 + c105*x *z^5 + c205*x^2 *z^5 + c305*x^3 *z^5 + c405*x^4 *z^5 + c505*x^5 *z^5 +# z^4 +> + c054*y^5*z^4 + c154*x*y^5*z^4 + c254*x^2*y^5*z^4 + c354*x^3*y^5*z^4 + c454*x^4*y^5*z^4 + c554*x^5*y^5*z^4 +> + c044*y^4*z^4 + c144*x*y^4*z^4 + c244*x^2*y^4*z^4 + c344*x^3*y^4*z^4 + c444*x^4*y^4*z^4 + c544*x^5*y^4*z^4 +> + c034*y^3*z^4 + c134*x*y^3*z^4 + c234*x^2*y^3*z^4 + c334*x^3*y^3*z^4 + c434*x^4*y^3*z^4 + c534*x^5*y^3*z^4 +> + c024*y^2*z^4 + c124*x*y^2*z^4 + c224*x^2*y^2*z^4 + c324*x^3*y^2*z^4 + c424*x^4*y^2*z^4 + c524*x^5*y^2*z^4 +> + c014*y *z^4 + c114*x*y *z^4 + c214*x^2*y *z^4 + c314*x^3*y *z^4 + c414*x^4*y *z^4 + c514*x^5*y *z^4 +> + c004 *z^4 + c104*x *z^4 + c204*x^2 *z^4 + c304*x^3 *z^4 + c404*x^4 *z^4 + c504*x^5 *z^4 +# z^3 +> + c053*y^5*z^3 + c153*x*y^5*z^3 + c253*x^2*y^5*z^3 + c353*x^3*y^5*z^3 + c453*x^4*y^5*z^3 + c553*x^5*y^5*z^3 +> + c043*y^4*z^3 + c143*x*y^4*z^3 + c243*x^2*y^4*z^3 + c343*x^3*y^4*z^3 + c443*x^4*y^4*z^3 + c543*x^5*y^4*z^3 +> + c033*y^3*z^3 + c133*x*y^3*z^3 + c233*x^2*y^3*z^3 + c333*x^3*y^3*z^3 + c433*x^4*y^3*z^3 + c533*x^5*y^3*z^3 +> + c023*y^2*z^3 + c123*x*y^2*z^3 + c223*x^2*y^2*z^3 + c323*x^3*y^2*z^3 + c423*x^4*y^2*z^3 + c523*x^5*y^2*z^3 +> + c013*y *z^3 + c113*x*y *z^3 + c213*x^2*y *z^3 + c313*x^3*y *z^3 + c413*x^4*y *z^3 + c513*x^5*y *z^3 +> + c003 *z^3 + c103*x *z^3 + c203*x^2 *z^3 + c303*x^3 *z^3 + c403*x^4 *z^3 + c503*x^5 *z^3 +# z^2 +> + c052*y^5*z^2 + c152*x*y^5*z^2 + c252*x^2*y^5*z^2 + c352*x^3*y^5*z^2 + c452*x^4*y^5*z^2 + c552*x^5*y^5*z^2 +> + c042*y^4*z^2 + c142*x*y^4*z^2 + c242*x^2*y^4*z^2 + c342*x^3*y^4*z^2 + c442*x^4*y^4*z^2 + c542*x^5*y^4*z^2 +> + c032*y^3*z^2 + c132*x*y^3*z^2 + c232*x^2*y^3*z^2 + c332*x^3*y^3*z^2 + c432*x^4*y^3*z^2 + c532*x^5*y^3*z^2 +> + c022*y^2*z^2 + c122*x*y^2*z^2 + c222*x^2*y^2*z^2 + c322*x^3*y^2*z^2 + c422*x^4*y^2*z^2 + c522*x^5*y^2*z^2 +> + c012*y *z^2 + c112*x*y *z^2 + c212*x^2*y *z^2 + c312*x^3*y *z^2 + c412*x^4*y *z^2 + c512*x^5*y *z^2 +> + c002 *z^2 + c102*x *z^2 + c202*x^2 *z^2 + c302*x^3 *z^2 + c402*x^4 *z^2 + c502*x^5 *z^2 +# z^1 +> + c051*y^5*z + c151*x*y^5*z + c251*x^2*y^5*z + c351*x^3*y^5*z + c451*x^4*y^5*z + c551*x^5*y^5*z +> + c041*y^4*z + c141*x*y^4*z + c241*x^2*y^4*z + c341*x^3*y^4*z + c441*x^4*y^4*z + c541*x^5*y^4*z +> + c031*y^3*z + c131*x*y^3*z + c231*x^2*y^3*z + c331*x^3*y^3*z + c431*x^4*y^3*z + c531*x^5*y^3*z +> + c021*y^2*z + c121*x*y^2*z + c221*x^2*y^2*z + c321*x^3*y^2*z + c421*x^4*y^2*z + c521*x^5*y^2*z +> + c011*y *z + c111*x*y *z + c211*x^2*y *z + c311*x^3*y *z + c411*x^4*y *z + c511*x^5*y *z +> + c001 *z + c101*x *z + c201*x^2 *z + c301*x^3 *z + c401*x^4 *z + c501*x^5 *z +# z^0 +> + c050*y^5 + c150*x*y^5 + c250*x^2*y^5 + c350*x^3*y^5 + c450*x^4*y^5 + c550*x^5*y^5 +> + c040*y^4 + c140*x*y^4 + c240*x^2*y^4 + c340*x^3*y^4 + c440*x^4*y^4 + c540*x^5*y^4 +> + c030*y^3 + c130*x*y^3 + c230*x^2*y^3 + c330*x^3*y^3 + c430*x^4*y^3 + c530*x^5*y^3 +> + c020*y^2 + c120*x*y^2 + c220*x^2*y^2 + c320*x^3*y^2 + c420*x^4*y^2 + c520*x^5*y^2 +> + c010*y + c110*x*y + c210*x^2*y + c310*x^3*y + c410*x^4*y + c510*x^5*y +> + c000 + c100*x + c200*x^2 + c300*x^3 + c400*x^4 + c500*x^5 +> end proc; +fn_3d_order5 := proc(x, y, z) + c043*y^4*z^3 + c204*x^2*z^4 + c104*x*z^4 + c330*x^3*y^3 + c503*x^5*z^3 + + c250*x^2*y^5 + c031*y^3*z + c103*x*z^3 + c052*y^5*z^2 + c051*y^5*z + + c550*x^5*y^5 + c045*y^4*z^5 + c404*x^4*z^4 + c304*x^3*z^4 + + c042*y^4*z^2 + c140*x*y^4 + c022*y^2*z^2 + c205*x^2*z^5 + c150*x*y^5 + + c301*x^3*z + c133*x*y^3*z^3 + c233*x^2*y^3*z^3 + c333*x^3*y^3*z^3 + + c123*x*y^2*z^3 + c223*x^2*y^2*z^3 + c323*x^3*y^2*z^3 + c113*x*y*z^3 + + c213*x^2*y*z^3 + c313*x^3*y*z^3 + c132*x*y^3*z^2 + c232*x^2*y^3*z^2 + + c332*x^3*y^3*z^2 + c122*x*y^2*z^2 + c222*x^2*y^2*z^2 + + c322*x^3*y^2*z^2 + c112*x*y*z^2 + c212*x^2*y*z^2 + c312*x^3*y*z^2 + + c131*x*y^3*z + c231*x^2*y^3*z + c331*x^3*y^3*z + c121*x*y^2*z + + c221*x^2*y^2*z + c321*x^3*y^2*z + c111*x*y*z + c211*x^2*y*z + + c311*x^3*y*z + c155*x*y^5*z^5 + c255*x^2*y^5*z^5 + c355*x^3*y^5*z^5 + + c455*x^4*y^5*z^5 + c555*x^5*y^5*z^5 + c145*x*y^4*z^5 + + c245*x^2*y^4*z^5 + c345*x^3*y^4*z^5 + c445*x^4*y^4*z^5 + + c545*x^5*y^4*z^5 + c135*x*y^3*z^5 + c235*x^2*y^3*z^5 + + c335*x^3*y^3*z^5 + c435*x^4*y^3*z^5 + c535*x^5*y^3*z^5 + + c125*x*y^2*z^5 + c225*x^2*y^2*z^5 + c325*x^3*y^2*z^5 + + c425*x^4*y^2*z^5 + c525*x^5*y^2*z^5 + c115*x*y*z^5 + c215*x^2*y*z^5 + + c315*x^3*y*z^5 + c415*x^4*y*z^5 + c515*x^5*y*z^5 + c154*x*y^5*z^4 + + c254*x^2*y^5*z^4 + c354*x^3*y^5*z^4 + c454*x^4*y^5*z^4 + + c554*x^5*y^5*z^4 + c144*x*y^4*z^4 + c244*x^2*y^4*z^4 + + c344*x^3*y^4*z^4 + c444*x^4*y^4*z^4 + c544*x^5*y^4*z^4 + + c134*x*y^3*z^4 + c234*x^2*y^3*z^4 + c334*x^3*y^3*z^4 + + c434*x^4*y^3*z^4 + c534*x^5*y^3*z^4 + c124*x*y^2*z^4 + c035*y^3*z^5 + + c540*x^5*y^4 + c033*y^3*z^3 + c023*y^2*z^3 + c013*y*z^3 + + c203*x^2*z^3 + c303*x^3*z^3 + c032*y^3*z^2 + c003*z^3 + c002*z^2 + + c001*z + c030*y^3 + c020*y^2 + c010*y + c000 + c100*x + c200*x^2 + + c300*x^3 + c005*z^5 + c012*y*z^2 + c102*x*z^2 + c202*x^2*z^2 + + c302*x^3*z^2 + c021*y^2*z + c011*y*z + c101*x*z + c201*x^2*z + + c130*x*y^3 + c230*x^2*y^3 + c120*x*y^2 + c220*x^2*y^2 + c320*x^3*y^2 + + c110*x*y + c210*x^2*y + c310*x^3*y + c055*y^5*z^5 + c025*y^2*z^5 + + c015*y*z^5 + c105*x*z^5 + c305*x^3*z^5 + c405*x^4*z^5 + c505*x^5*z^5 + + c054*y^5*z^4 + c044*y^4*z^4 + c034*y^3*z^4 + c024*y^2*z^4 + + c224*x^2*y^2*z^4 + c324*x^3*y^2*z^4 + c424*x^4*y^2*z^4 + + c524*x^5*y^2*z^4 + c114*x*y*z^4 + c214*x^2*y*z^4 + c314*x^3*y*z^4 + + c414*x^4*y*z^4 + c514*x^5*y*z^4 + c153*x*y^5*z^3 + c253*x^2*y^5*z^3 + + c353*x^3*y^5*z^3 + c453*x^4*y^5*z^3 + c553*x^5*y^5*z^3 + + c143*x*y^4*z^3 + c243*x^2*y^4*z^3 + c343*x^3*y^4*z^3 + + c443*x^4*y^4*z^3 + c543*x^5*y^4*z^3 + c433*x^4*y^3*z^3 + + c533*x^5*y^3*z^3 + c423*x^4*y^2*z^3 + c523*x^5*y^2*z^3 + + c413*x^4*y*z^3 + c513*x^5*y*z^3 + c152*x*y^5*z^2 + c252*x^2*y^5*z^2 + + c352*x^3*y^5*z^2 + c452*x^4*y^5*z^2 + c552*x^5*y^5*z^2 + + c142*x*y^4*z^2 + c242*x^2*y^4*z^2 + c342*x^3*y^4*z^2 + + c442*x^4*y^4*z^2 + c542*x^5*y^4*z^2 + c432*x^4*y^3*z^2 + + c532*x^5*y^3*z^2 + c422*x^4*y^2*z^2 + c522*x^5*y^2*z^2 + + c412*x^4*y*z^2 + c512*x^5*y*z^2 + c151*x*y^5*z + c251*x^2*y^5*z + + c351*x^3*y^5*z + c451*x^4*y^5*z + c551*x^5*y^5*z + c141*x*y^4*z + + c241*x^2*y^4*z + c341*x^3*y^4*z + c441*x^4*y^4*z + c541*x^5*y^4*z + + c431*x^4*y^3*z + c531*x^5*y^3*z + c421*x^4*y^2*z + c521*x^5*y^2*z + + c411*x^4*y*z + c511*x^5*y*z + c004*z^4 + c050*y^5 + c040*y^4 + + c400*x^4 + c500*x^5 + c014*y*z^4 + c504*x^5*z^4 + c053*y^5*z^3 + + c403*x^4*z^3 + c402*x^4*z^2 + c502*x^5*z^2 + c041*y^4*z + c401*x^4*z + + c501*x^5*z + c350*x^3*y^5 + c450*x^4*y^5 + c240*x^2*y^4 + + c340*x^3*y^4 + c440*x^4*y^4 + c430*x^4*y^3 + c530*x^5*y^3 + + c420*x^4*y^2 + c520*x^5*y^2 + c410*x^4*y + c510*x^5*y +end proc + +> +################################################################################ +> +# coordinates for 3-D interpolating functions +> coord_list_3d := [x,y,z]; + coord_list_3d := [x, y, z] + +> +################################################################################ +> +# +# coefficients in 3-D interpolating functions +# +> +> coeff_set_3d_order3 := { +> # z^3 +> c033, c133, c233, c333, +> c023, c123, c223, c323, +> c013, c113, c213, c313, +> c003, c103, c203, c303, +> # z^2 +> c032, c132, c232, c332, +> c022, c122, c222, c322, +> c012, c112, c212, c312, +> c002, c102, c202, c302, +> # z^1 +> c031, c131, c231, c331, +> c021, c121, c221, c321, +> c011, c111, c211, c311, +> c001, c101, c201, c301, +> # z^0 +> c030, c130, c230, c330, +> c020, c120, c220, c320, +> c010, c110, c210, c310, +> c000, c100, c200, c300 +> }; +coeff_set_3d_order3 := {c033, c133, c233, c333, c023, c123, c223, c323, c013, + + c113, c213, c313, c003, c103, c203, c303, c032, c132, c232, c332, c022, + + c122, c222, c322, c012, c112, c212, c312, c002, c102, c202, c302, c031, + + c131, c231, c331, c021, c121, c221, c321, c011, c111, c211, c311, c001, + + c101, c201, c301, c030, c130, c230, c330, c020, c120, c220, c320, c010, + + c110, c210, c310, c000, c100, c200, c300} + +> +> coeff_set_3d_order5 := { +> # z^5 +> c055, c155, c255, c355, c455, c555, +> c045, c145, c245, c345, c445, c545, +> c035, c135, c235, c335, c435, c535, +> c025, c125, c225, c325, c425, c525, +> c015, c115, c215, c315, c415, c515, +> c005, c105, c205, c305, c405, c505, +> # z^4 +> c054, c154, c254, c354, c454, c554, +> c044, c144, c244, c344, c444, c544, +> c034, c134, c234, c334, c434, c534, +> c024, c124, c224, c324, c424, c524, +> c014, c114, c214, c314, c414, c514, +> c004, c104, c204, c304, c404, c504, +> # z^3 +> c053, c153, c253, c353, c453, c553, +> c043, c143, c243, c343, c443, c543, +> c033, c133, c233, c333, c433, c533, +> c023, c123, c223, c323, c423, c523, +> c013, c113, c213, c313, c413, c513, +> c003, c103, c203, c303, c403, c503, +> # z^2 +> c052, c152, c252, c352, c452, c552, +> c042, c142, c242, c342, c442, c542, +> c032, c132, c232, c332, c432, c532, +> c022, c122, c222, c322, c422, c522, +> c012, c112, c212, c312, c412, c512, +> c002, c102, c202, c302, c402, c502, +> # z^1 +> c051, c151, c251, c351, c451, c551, +> c041, c141, c241, c341, c441, c541, +> c031, c131, c231, c331, c431, c531, +> c021, c121, c221, c321, c421, c521, +> c011, c111, c211, c311, c411, c511, +> c001, c101, c201, c301, c401, c501, +> # z^0 +> c050, c150, c250, c350, c450, c550, +> c040, c140, c240, c340, c440, c540, +> c030, c130, c230, c330, c430, c530, +> c020, c120, c220, c320, c420, c520, +> c010, c110, c210, c310, c410, c510, +> c000, c100, c200, c300, c400, c500 +> }; +coeff_set_3d_order5 := {c033, c133, c233, c333, c023, c123, c223, c323, c013, + + c113, c213, c313, c003, c103, c203, c303, c032, c132, c232, c332, c022, + + c122, c222, c322, c012, c112, c212, c312, c002, c102, c202, c302, c031, + + c131, c231, c331, c021, c121, c221, c321, c011, c111, c211, c311, c001, + + c101, c201, c301, c030, c130, c230, c330, c020, c120, c220, c320, c010, + + c110, c210, c310, c000, c100, c200, c300, c055, c155, c255, c355, c455, + + c555, c045, c145, c245, c345, c445, c545, c035, c135, c235, c335, c435, + + c535, c025, c125, c225, c325, c425, c525, c015, c115, c215, c315, c415, + + c515, c005, c105, c205, c305, c405, c505, c054, c154, c254, c354, c454, + + c554, c044, c144, c244, c344, c444, c544, c034, c134, c234, c334, c434, + + c534, c024, c124, c224, c324, c424, c524, c014, c114, c214, c314, c414, + + c514, c004, c104, c204, c304, c404, c504, c053, c153, c253, c353, c453, + + c553, c043, c143, c243, c343, c443, c543, c433, c533, c423, c523, c413, + + c513, c403, c503, c052, c152, c252, c352, c452, c552, c042, c142, c242, + + c342, c442, c542, c432, c532, c422, c522, c412, c512, c402, c502, c051, + + c151, c251, c351, c451, c551, c041, c141, c241, c341, c441, c541, c431, + + c531, c421, c521, c411, c511, c401, c501, c050, c150, c250, c350, c450, + + c550, c040, c140, c240, c340, c440, c540, c430, c530, c420, c520, c410, + + c510, c400, c500} + +> +################################################################################ +> +# +# 3-D derivative molecules (arguments = molecule center) +# +> +> deriv_3d_dx_3point := proc(i::integer, j::integer, k::integer) +> dx_3point( +> proc(mi::integer) DATA(i+mi,j,k) end proc +> ) +> end proc; +deriv_3d_dx_3point := proc(i::integer, j::integer, k::integer) + dx_3point(proc(mi::integer) DATA(i + mi, j, k) end proc) +end proc + +> deriv_3d_dy_3point := proc(i::integer, j::integer, k::integer) +> dx_3point( +> proc(mj::integer) DATA(i,j+mj,k) end proc +> ) +> end proc; +deriv_3d_dy_3point := proc(i::integer, j::integer, k::integer) + dx_3point(proc(mj::integer) DATA(i, j + mj, k) end proc) +end proc + +> deriv_3d_dz_3point := proc(i::integer, j::integer, k::integer) +> dx_3point( +> proc(mk::integer) DATA(i,j,k+mk) end proc +> ) +> end proc; +deriv_3d_dz_3point := proc(i::integer, j::integer, k::integer) + dx_3point(proc(mk::integer) DATA(i, j, k + mk) end proc) +end proc + +> deriv_3d_dxy_3point := proc(i::integer, j::integer, k::integer) +> dx_3point( +> proc(mi::integer) +> dx_3point( +> proc(mj::integer) DATA(i+mi,j+mj,k) end proc +> ) +> end proc +> ) +> end proc; +deriv_3d_dxy_3point := proc(i::integer, j::integer, k::integer) + dx_3point(proc(mi::integer) + dx_3point(proc(mj::integer) DATA(i + mi, j + mj, k) end proc) + end proc) +end proc + +> deriv_3d_dxz_3point := proc(i::integer, j::integer, k::integer) +> dx_3point( +> proc(mi::integer) +> dx_3point( +> proc(mk::integer) DATA(i+mi,j,k+mk) end proc +> ) +> end proc +> ) +> end proc; +deriv_3d_dxz_3point := proc(i::integer, j::integer, k::integer) + dx_3point(proc(mi::integer) + dx_3point(proc(mk::integer) DATA(i + mi, j, k + mk) end proc) + end proc) +end proc + +> deriv_3d_dyz_3point := proc(i::integer, j::integer, k::integer) +> dx_3point( +> proc(mj::integer) +> dx_3point( +> proc(mk::integer) DATA(i,j+mj,k+mk) end proc +> ) +> end proc +> ) +> end proc; +deriv_3d_dyz_3point := proc(i::integer, j::integer, k::integer) + dx_3point(proc(mj::integer) + dx_3point(proc(mk::integer) DATA(i, j + mj, k + mk) end proc) + end proc) +end proc + +> deriv_3d_dxyz_3point := proc(i::integer, j::integer, k::integer) +> dx_3point( +> proc(mi::integer) +> dx_3point( +> proc(mj::integer) +> dx_3point( +> proc(mk::integer) +> DATA(i+mi,j+mj,k+mk) +> end proc +> ) +> end proc +> ) +> end proc +> ) +> end proc; +deriv_3d_dxyz_3point := proc(i::integer, j::integer, k::integer) + dx_3point(proc(mi::integer) + dx_3point(proc(mj::integer) + dx_3point( + proc(mk::integer) DATA(i + mi, j + mj, k + mk) end proc) + end proc) + end proc) +end proc + +> +> deriv_3d_dx_5point := proc(i::integer, j::integer, k::integer) +> dx_5point( +> proc(mi::integer) DATA(i+mi,j,k) end proc +> ) +> end proc; +deriv_3d_dx_5point := proc(i::integer, j::integer, k::integer) + dx_5point(proc(mi::integer) DATA(i + mi, j, k) end proc) +end proc + +> deriv_3d_dy_5point := proc(i::integer, j::integer, k::integer) +> dx_5point( +> proc(mj::integer) DATA(i,j+mj,k) end proc +> ) +> end proc; +deriv_3d_dy_5point := proc(i::integer, j::integer, k::integer) + dx_5point(proc(mj::integer) DATA(i, j + mj, k) end proc) +end proc + +> deriv_3d_dz_5point := proc(i::integer, j::integer, k::integer) +> dx_5point( +> proc(mk::integer) DATA(i,j,k+mk) end proc +> ) +> end proc; +deriv_3d_dz_5point := proc(i::integer, j::integer, k::integer) + dx_5point(proc(mk::integer) DATA(i, j, k + mk) end proc) +end proc + +> deriv_3d_dxy_5point := proc(i::integer, j::integer, k::integer) +> dx_5point( +> proc(mi::integer) +> dx_5point( +> proc(mj::integer) DATA(i+mi,j+mj,k) end proc +> ) +> end proc +> ) +> end proc; +deriv_3d_dxy_5point := proc(i::integer, j::integer, k::integer) + dx_5point(proc(mi::integer) + dx_5point(proc(mj::integer) DATA(i + mi, j + mj, k) end proc) + end proc) +end proc + +> deriv_3d_dxz_5point := proc(i::integer, j::integer, k::integer) +> dx_5point( +> proc(mi::integer) +> dx_5point( +> proc(mk::integer) DATA(i+mi,j,k+mk) end proc +> ) +> end proc +> ) +> end proc; +deriv_3d_dxz_5point := proc(i::integer, j::integer, k::integer) + dx_5point(proc(mi::integer) + dx_5point(proc(mk::integer) DATA(i + mi, j, k + mk) end proc) + end proc) +end proc + +> deriv_3d_dyz_5point := proc(i::integer, j::integer, k::integer) +> dx_5point( +> proc(mj::integer) +> dx_5point( +> proc(mk::integer) DATA(i,j+mj,k+mk) end proc +> ) +> end proc +> ) +> end proc; +deriv_3d_dyz_5point := proc(i::integer, j::integer, k::integer) + dx_5point(proc(mj::integer) + dx_5point(proc(mk::integer) DATA(i, j + mj, k + mk) end proc) + end proc) +end proc + +> deriv_3d_dxyz_5point := proc(i::integer, j::integer, k::integer) +> dx_5point( +> proc(mi::integer) +> dx_5point( +> proc(mj::integer) +> dx_5point( +> proc(mk::integer) +> DATA(i+mi,j+mj,k+mk) +> end proc +> ) +> end proc +> ) +> end proc +> ) +> end proc; +deriv_3d_dxyz_5point := proc(i::integer, j::integer, k::integer) + dx_5point(proc(mi::integer) + dx_5point(proc(mj::integer) + dx_5point( + proc(mk::integer) DATA(i + mi, j + mj, k + mk) end proc) + end proc) + end proc) +end proc + +> +################################################################################ +################################################################################ +################################################################################ +# 2d.maple -- compute Hermite interpolation coefficients in 2-D +# $Header:$ +> +################################################################################ +> +# +# 2d, cube, polynomial order=3, derivatives via 3-point order=2 formula +# ==> overall order=2, 4-point molecule +# +> +# interpolating polynomial +> interp_2d_cube_order2 +> := Hermite_polynomial_interpolant(fn_2d_order3, +> coeff_set_2d_order3, +> [x,y], +> { +> {x} = deriv_2d_dx_3point, +> {y} = deriv_2d_dy_3point, +> {x,y} = deriv_2d_dxy_3point +> }, +> {op(posn_list_2d_size2)}, +> {op(posn_list_2d_size2)}); +bytes used=1000300, alloc=917336, time=0.09 +bytes used=2000716, alloc=1310480, time=0.17 +interp_2d_cube_order2 := + + 3 + (- 1/2 DATA(0, -1) - 3/2 DATA(0, 1) + 3/2 DATA(0, 0) + 1/2 DATA(0, 2)) y + + + (1/4 DATA(-1, -1) + 3/4 DATA(-1, 1) - 1/4 DATA(1, -1) - 3/4 DATA(1, 1) + + - 3/4 DATA(-1, 0) - 1/4 DATA(-1, 2) + 3/4 DATA(1, 0) + 1/4 DATA(1, 2)) x + + 3 + y + (- 15/4 DATA(0, 0) - 3 DATA(1, 1) + 15/4 DATA(0, 1) + 3 DATA(1, 0) + + + 1/2 DATA(-1, 2) + DATA(1, 2) + 1/4 DATA(2, -1) + 3/4 DATA(2, 1) + + + 3/2 DATA(-1, 0) - 3/4 DATA(2, 0) - 1/2 DATA(-1, -1) - 3/2 DATA(-1, 1) + + 2 3 + - DATA(1, -1) + 5/4 DATA(0, -1) - 5/4 DATA(0, 2) - 1/4 DATA(2, 2)) x y + + + (9/4 DATA(0, 0) + 9/4 DATA(1, 1) - 9/4 DATA(0, 1) - 9/4 DATA(1, 0) + + - 1/4 DATA(-1, 2) - 3/4 DATA(1, 2) - 1/4 DATA(2, -1) - 3/4 DATA(2, 1) + + - 3/4 DATA(-1, 0) + 3/4 DATA(2, 0) + 1/4 DATA(-1, -1) + 3/4 DATA(-1, 1) + + 3 + + 3/4 DATA(1, -1) - 3/4 DATA(0, -1) + 3/4 DATA(0, 2) + 1/4 DATA(2, 2)) x + + 3 2 + y + (DATA(0, -1) + 2 DATA(0, 1) - 5/2 DATA(0, 0) - 1/2 DATA(0, 2)) y + ( + + - 1/2 DATA(-1, -1) - DATA(-1, 1) + 1/2 DATA(1, -1) + DATA(1, 1) + + + 5/4 DATA(-1, 0) + 1/4 DATA(-1, 2) - 5/4 DATA(1, 0) - 1/4 DATA(1, 2)) x + + 2 + y + (25/4 DATA(0, 0) + 4 DATA(1, 1) - 5 DATA(0, 1) - 5 DATA(1, 0) + + - 1/2 DATA(-1, 2) - DATA(1, 2) - 1/2 DATA(2, -1) - DATA(2, 1) + + - 5/2 DATA(-1, 0) + 5/4 DATA(2, 0) + DATA(-1, -1) + 2 DATA(-1, 1) + + 2 2 + + 2 DATA(1, -1) - 5/2 DATA(0, -1) + 5/4 DATA(0, 2) + 1/4 DATA(2, 2)) x y + + + (- 15/4 DATA(0, 0) - 3 DATA(1, 1) + 3 DATA(0, 1) + 15/4 DATA(1, 0) + + + 1/4 DATA(-1, 2) + 3/4 DATA(1, 2) + 1/2 DATA(2, -1) + DATA(2, 1) + + + 5/4 DATA(-1, 0) - 5/4 DATA(2, 0) - 1/2 DATA(-1, -1) - DATA(-1, 1) + + 3 + - 3/2 DATA(1, -1) + 3/2 DATA(0, -1) - 3/4 DATA(0, 2) - 1/4 DATA(2, 2)) x + + 2 + y + (- 1/2 DATA(0, -1) + 1/2 DATA(0, 1)) y + + + (1/4 DATA(-1, -1) - 1/4 DATA(-1, 1) - 1/4 DATA(1, -1) + 1/4 DATA(1, 1)) x y + + + (- 1/2 DATA(-1, -1) + 1/2 DATA(-1, 1) - DATA(1, -1) + DATA(1, 1) + + 2 + + 5/4 DATA(0, -1) - 5/4 DATA(0, 1) + 1/4 DATA(2, -1) - 1/4 DATA(2, 1)) x + + y + (- 3/4 DATA(0, -1) + 3/4 DATA(0, 1) + 1/4 DATA(-1, -1) + + - 1/4 DATA(-1, 1) + 3/4 DATA(1, -1) - 3/4 DATA(1, 1) - 1/4 DATA(2, -1) + + 3 + + 1/4 DATA(2, 1)) x y + DATA(0, 0) + + + (- 1/2 DATA(-1, 0) + 1/2 DATA(1, 0)) x + + 2 + + (DATA(-1, 0) + 2 DATA(1, 0) - 5/2 DATA(0, 0) - 1/2 DATA(2, 0)) x + + 3 + + (3/2 DATA(0, 0) - 1/2 DATA(-1, 0) - 3/2 DATA(1, 0) + 1/2 DATA(2, 0)) x + +> +# I +> coeff_as_lc_of_data(%, posn_list_2d_size4); +bytes used=3001044, alloc=1507052, time=0.25 + 3 2 2 3 3 +[COEFF(-1, -1) = 1/4 x y - 1/2 x y - 1/2 x y + 1/4 x y + 1/4 x y + + 2 3 2 3 3 2 2 3 2 + - 1/2 x y - 1/2 x y + 1/4 x y + x y , COEFF(0, -1) = - 1/2 y + y + + 2 3 2 3 2 2 2 3 3 + + 5/4 x y + 5/4 x y + 3/2 x y - 5/2 x y - 3/4 x y - 1/2 y + + 3 2 3 3 3 2 + - 3/4 x y, COEFF(1, -1) = -x y + 3/4 x y + 3/4 x y + 1/2 x y + + 3 2 3 3 2 2 2 + - 1/4 x y - x y - 3/2 x y - 1/4 x y + 2 x y , COEFF(2, -1) = + + 2 3 2 2 2 3 2 3 3 3 + 1/4 x y - 1/2 x y + 1/4 x y + 1/2 x y - 1/4 x y - 1/4 x y, + + 3 2 2 3 3 3 2 2 2 + COEFF(-1, 0) = - 3/4 x y + x + 3/2 x y - 1/2 x + 5/4 x y - 5/2 x y + + 3 3 2 3 3 3 2 + - 3/4 x y + 5/4 x y - 1/2 x, COEFF(0, 0) = 9/4 x y + 3/2 y - 5/2 x + + 2 2 2 2 3 3 2 3 + - 5/2 y + 25/4 x y - 15/4 x y + 1 - 15/4 x y + 3/2 x , COEFF(1, 0) + + 3 2 3 2 2 2 3 2 3 3 + = 15/4 x y - 3/2 x - 5 x y - 5/4 x y + 3/4 x y + 2 x - 9/4 x y + + 2 3 + + 1/2 x + 3 x y , COEFF(2, 0) = + + 2 3 2 2 3 2 3 2 3 3 + - 3/4 x y + 5/4 x y + 1/2 x - 1/2 x - 5/4 x y + 3/4 x y , + + 3 2 2 3 3 3 2 2 2 2 + COEFF(-1, 1) = -x y - 3/2 x y + 3/4 x y - x y + 1/2 x y + 2 x y + + 3 3 3 3 2 + + 3/4 x y - 1/4 x y - 1/4 x y, COEFF(0, 1) = - 3/2 y + 3 x y + + 2 2 3 3 3 3 2 2 2 + - 5/4 x y + 15/4 x y + 3/4 x y - 9/4 x y + 1/2 y + 2 y - 5 x y , + + 2 3 2 2 3 3 3 3 2 + COEFF(1, 1) = -3 x y + 4 x y - 3/4 x y + 9/4 x y - 3 x y + + 3 2 2 + - 3/4 x y + x y + x y + 1/4 x y, + + 3 3 3 2 3 2 2 2 3 2 + COEFF(2, 1) = - 3/4 x y + 1/4 x y + 3/4 x y - 1/4 x y - x y + x y + + , COEFF(-1, 2) = + + 2 3 3 3 2 2 3 3 2 2 + 1/2 x y - 1/4 x y - 1/2 x y - 1/4 x y + 1/4 x y + 1/4 x y , + + COEFF(0, 2) = + + 3 2 3 2 2 3 3 3 2 2 + 1/2 y - 5/4 x y + 5/4 x y + 3/4 x y - 3/4 x y - 1/2 y , + + 3 3 2 3 3 3 2 2 2 2 + COEFF(1, 2) = - 3/4 x y + x y + 1/4 x y + 3/4 x y - 1/4 x y - x y + + 3 3 2 3 2 2 3 2 + , COEFF(2, 2) = 1/4 x y - 1/4 x y + 1/4 x y - 1/4 x y ] + +> print_coeff__lc_of_data(%, "coeff_I_", "fp", +> "2d.coeffs/2d.cube.order2/coeff-I.compute.c"); +bytes used=4003068, alloc=1572576, time=0.32 +bytes used=5010492, alloc=1638100, time=0.39 +bytes used=6011312, alloc=1703624, time=0.46 +bytes used=7011440, alloc=1703624, time=0.52 +bytes used=8011844, alloc=1769148, time=0.59 +bytes used=9016760, alloc=1769148, time=0.66 +bytes used=10016888, alloc=1769148, time=0.74 +bytes used=11017076, alloc=1769148, time=0.82 +bytes used=12017232, alloc=1769148, time=0.90 +bytes used=13017384, alloc=1900196, time=0.97 +> +# d/dx +> simplify( diff(interp_2d_cube_order2,x) ); +bytes used=14017520, alloc=1900196, time=1.07 +bytes used=15017680, alloc=1965720, time=1.14 + 2 2 2 +9/2 x DATA(0, 0) - 9/2 x DATA(1, 0) + 3/2 x DATA(2, 0) - 5 x DATA(0, 0) + + 2 3 + - 3/2 x DATA(-1, 0) + 1/2 DATA(1, 0) + 3/4 y DATA(-1, 1) + + 3 3 3 + + 3/4 y DATA(1, 0) - 1/4 y DATA(-1, 2) + 1/4 y DATA(1, 2) + + 3 3 3 + - 5/2 x y DATA(0, 2) - 1/2 x y DATA(2, 2) - 15/2 x y DATA(0, 0) + + 3 3 3 + - 6 x y DATA(1, 1) + 15/2 x y DATA(0, 1) + 6 x y DATA(1, 0) + + 3 3 2 3 + + x y DATA(-1, 2) + 2 x y DATA(1, 2) + 27/4 x y DATA(0, 0) + + 2 3 3 3 + + 27/4 x y DATA(1, 1) + 1/2 x y DATA(2, -1) + 3/2 x y DATA(2, 1) + + 3 3 3 + + 3 x y DATA(-1, 0) - 3/2 x y DATA(2, 0) - x y DATA(-1, -1) + + 3 3 3 + - 3 x y DATA(-1, 1) - 2 x y DATA(1, -1) + 5/2 x y DATA(0, -1) + + 3 2 3 2 3 + - 3/4 y DATA(-1, 0) - 9/4 x y DATA(2, 1) - 9/4 x y DATA(-1, 0) + + 2 3 2 3 2 3 + + 9/4 x y DATA(2, 0) + 3/4 x y DATA(-1, -1) - 27/4 x y DATA(1, 0) + + 2 3 2 3 2 3 + - 3/4 x y DATA(-1, 2) - 9/4 x y DATA(1, 2) - 3/4 x y DATA(2, -1) + + 2 3 2 3 2 3 + - 9/4 x y DATA(0, -1) + 9/4 x y DATA(0, 2) + 3/4 x y DATA(2, 2) + + 2 2 3 2 + - 10 x y DATA(0, 1) - 27/4 x y DATA(0, 1) + 1/4 y DATA(-1, 2) + + 2 2 2 + - 1/4 y DATA(1, 2) - 1/2 y DATA(-1, -1) - y DATA(-1, 1) + + 2 3 3 + + 1/2 y DATA(1, -1) - 3/4 y DATA(1, 1) - 1/4 y DATA(1, -1) + + 2 2 2 2 2 + - 5/4 y DATA(1, 0) + 9 x y DATA(0, 1) + 45/4 x y DATA(1, 0) + + 2 2 2 2 2 + + 3/4 x y DATA(-1, 2) + 9/4 x y DATA(1, 2) - 10 x y DATA(1, 0) + + 2 2 2 + - x y DATA(-1, 2) - 2 x y DATA(1, 2) - x y DATA(2, -1) + + 2 2 2 3 + + 25/2 x y DATA(0, 0) + 8 x y DATA(1, 1) + 9/4 x y DATA(-1, 1) + + 2 3 2 2 + + 9/4 x y DATA(1, -1) - 2 x y DATA(2, 1) - 5 x y DATA(-1, 0) + + 2 2 2 + + 5/2 x y DATA(2, 0) + 2 x y DATA(-1, -1) + 4 x y DATA(-1, 1) + + 2 2 2 + + 4 x y DATA(1, -1) - 5 x y DATA(0, -1) + 5/2 x y DATA(0, 2) + + 2 2 2 2 2 + + 1/2 x y DATA(2, 2) - 9/2 x y DATA(1, -1) - 9/4 x y DATA(0, 2) + + 2 2 2 2 2 2 + - 3/4 x y DATA(2, 2) - 45/4 x y DATA(0, 0) - 9 x y DATA(1, 1) + + 2 2 + + 9/2 x y DATA(0, -1) - 2 x y DATA(1, -1) + 2 x y DATA(1, 1) + + + 5/2 x y DATA(0, -1) - 5/2 x y DATA(0, 1) + 1/2 x y DATA(2, -1) + + 2 2 + - 1/2 x y DATA(2, 1) + 9/4 x y DATA(0, 1) + 3/4 x y DATA(-1, -1) + + 2 2 2 2 + - 3/4 x y DATA(-1, 1) + 9/4 x y DATA(1, -1) + 3/2 x y DATA(2, -1) + + 2 2 2 2 2 2 + + 3 x y DATA(2, 1) + 15/4 x y DATA(-1, 0) - 15/4 x y DATA(2, 0) + + 2 2 2 2 + - 3/2 x y DATA(-1, -1) - 3 x y DATA(-1, 1) + 1/4 y DATA(-1, -1) + + 2 + + 2 x DATA(-1, 0) - 1/4 y DATA(1, -1) + 1/4 y DATA(1, 1) + y DATA(1, 1) + + 2 3 + + 5/4 y DATA(-1, 0) - 1/4 y DATA(-1, 1) + 1/4 y DATA(-1, -1) + + 2 + + 4 x DATA(1, 0) - x DATA(2, 0) - 9/4 x y DATA(1, 1) + + 2 2 2 + + 3/4 x y DATA(2, 1) - 3/4 x y DATA(2, -1) - 9/4 x y DATA(0, -1) + + - x y DATA(-1, -1) + x y DATA(-1, 1) - 1/2 DATA(-1, 0) + +> coeff_as_lc_of_data(%, posn_list_2d_size4); + 3 3 2 2 3 2 2 +[COEFF(-1, -1) = 1/4 y - x y - 1/2 y + 3/4 x y - 3/2 x y + 1/4 y + + 2 2 + + 2 x y + 3/4 x y - x y, COEFF(0, -1) = + + 2 2 3 3 2 2 2 + - 9/4 x y - 9/4 x y + 5/2 x y + 9/2 x y - 5 x y + 5/2 x y, + + 3 2 2 2 2 2 3 + COEFF(1, -1) = - 1/4 y + 4 x y - 1/4 y - 9/2 x y + 9/4 x y + 9/4 x y + + 3 2 + - 2 x y - 2 x y + 1/2 y , COEFF(2, -1) = + + 2 3 3 2 2 2 2 + - 3/4 x y + 1/2 x y + 1/2 x y - x y - 3/4 x y + 3/2 x y , + + 2 2 3 2 2 2 + COEFF(-1, 0) = -5 x y + 5/4 y + 3 x y + 15/4 x y - 3/2 x - 1/2 + + 3 2 3 + - 3/4 y - 9/4 x y + 2 x, COEFF(0, 0) = + + 2 3 2 2 2 2 3 + -5 x + 27/4 x y + 9/2 x + 25/2 x y - 45/4 x y - 15/2 x y , + + 3 2 3 2 2 3 + COEFF(1, 0) = 6 x y + 4 x - 27/4 x y + 45/4 x y + 1/2 + 3/4 y + + 2 2 2 + - 9/2 x - 10 x y - 5/4 y , + + 2 3 2 2 2 2 3 + COEFF(2, 0) = -x + 5/2 x y - 3/2 x y - 15/4 x y + 3/2 x + 9/4 x y , + + 2 2 3 2 2 3 2 + COEFF(-1, 1) = -3 x y + 3/4 y - 1/4 y + 4 x y + 9/4 x y + x y - y + + 3 2 + - 3 x y - 3/4 x y, COEFF(0, 1) = + + 2 2 2 3 2 2 3 + 9/4 x y - 10 x y - 27/4 x y + 9 x y + 15/2 x y - 5/2 x y, + + 3 2 2 3 2 3 + COEFF(1, 1) = - 3/4 y - 9/4 x y + 8 x y - 6 x y + 1/4 y + 27/4 x y + + 2 2 2 + - 9 x y + y + 2 x y, + + 2 2 3 2 2 3 2 + COEFF(2, 1) = 3 x y + 3/2 x y - 1/2 x y - 2 x y - 9/4 x y + 3/4 x y, + + 3 2 2 2 2 2 3 3 + COEFF(-1, 2) = - 1/4 y - x y + 3/4 x y + 1/4 y - 3/4 x y + x y , + + 2 2 3 3 2 2 + COEFF(0, 2) = 5/2 x y + 9/4 x y - 5/2 x y - 9/4 x y , + + 3 2 2 3 2 2 3 2 + COEFF(1, 2) = 1/4 y - 1/4 y - 9/4 x y + 9/4 x y + 2 x y - 2 x y , + + 3 2 2 2 2 3 + COEFF(2, 2) = - 1/2 x y - 3/4 x y + 1/2 x y + 3/4 x y ] + +> print_coeff__lc_of_data(%, "coeff_dx_", "fp", +> "2d.coeffs/2d.cube.order2/coeff-dx.compute.c"); +bytes used=16018016, alloc=2096768, time=1.21 +bytes used=17018208, alloc=2096768, time=1.28 +bytes used=18018528, alloc=2096768, time=1.35 +bytes used=19018880, alloc=2096768, time=1.42 +bytes used=20019044, alloc=2096768, time=1.50 +bytes used=21019528, alloc=2096768, time=1.59 +bytes used=22019688, alloc=2096768, time=1.67 +bytes used=23019852, alloc=2096768, time=1.78 +> +# d/dy +> simplify( diff(interp_2d_cube_order2,y) ); +bytes used=24020180, alloc=2096768, time=1.87 + 2 2 2 2 +1/2 DATA(0, 1) + 45/4 x y DATA(0, 1) + 9 x y DATA(1, 0) + + 2 2 2 2 2 + + 3/2 x y DATA(-1, 2) + 3 x y DATA(1, 2) + 9/4 x y DATA(1, 0) + + 2 2 2 + - 3/4 x y DATA(-1, 2) + 3/4 x y DATA(1, 2) - 9/4 x y DATA(1, 1) + + 2 2 2 + - 9/4 x y DATA(-1, 0) + 3/4 x y DATA(-1, -1) + 9/4 x y DATA(-1, 1) + + 2 2 2 2 2 + - 3/4 x y DATA(1, -1) - 3 x y DATA(1, -1) - 15/4 x y DATA(0, 2) + + 2 2 2 2 2 2 + - 3/4 x y DATA(2, 2) - 45/4 x y DATA(0, 0) - 9 x y DATA(1, 1) + + 2 2 + + 15/4 x y DATA(0, -1) + x y DATA(1, -1) + 2 x y DATA(1, 1) + + 2 2 2 + - 10 x y DATA(0, 1) + 2 x y DATA(-1, -1) + 4 x y DATA(-1, 1) + + 2 2 2 2 2 + + 4 x y DATA(1, -1) + 3/4 x y DATA(2, -1) + 9/4 x y DATA(2, 1) + + 2 2 2 2 2 2 + + 9/2 x y DATA(-1, 0) - 9/4 x y DATA(2, 0) - 3/2 x y DATA(-1, -1) + + 2 2 2 2 + - 9/2 x y DATA(-1, 1) + 8 x y DATA(1, 1) - 2 x y DATA(2, 1) + + 2 2 + - x y DATA(2, -1) - 5 x y DATA(0, -1) - x y DATA(-1, -1) + + 2 + - 2 x y DATA(-1, 1) - 3/2 y DATA(0, -1) - 1/2 DATA(0, -1) + + 3 2 3 2 3 2 + + 9/4 x y DATA(0, 2) + 3/4 x y DATA(2, 2) + 9/4 x y DATA(1, -1) + + 3 2 + + 5/2 x y DATA(-1, 0) + 1/2 x y DATA(-1, 2) + 9/4 x y DATA(-1, 1) + + 3 2 2 2 + - 9/4 x y DATA(0, -1) - 5 x y DATA(-1, 0) + 5/2 x y DATA(2, 0) + + 3 3 3 + + 15/2 x y DATA(1, 0) + 1/2 x y DATA(-1, 2) + 3/2 x y DATA(1, 2) + + 3 2 + + x y DATA(2, -1) + 25/2 x y DATA(0, 0) - 5/2 x y DATA(1, 0) + + 2 2 + - 1/2 x y DATA(1, 2) - 10 x y DATA(1, 0) - x y DATA(-1, 2) + + 2 2 2 + - 2 x y DATA(1, 2) + 5/2 x y DATA(0, 2) + 1/2 x y DATA(2, 2) + + 3 3 3 + - 15/2 x y DATA(0, 0) - 6 x y DATA(1, 1) + 6 x y DATA(0, 1) + + - 1/4 x DATA(-1, 1) - 1/4 x DATA(1, -1) + 1/4 x DATA(1, 1) + + + 2 y DATA(0, -1) + 4 y DATA(0, 1) - 5 y DATA(0, 0) - y DATA(0, 2) + + 2 2 2 + - 1/2 x DATA(-1, -1) + 1/2 x DATA(-1, 1) - x DATA(1, -1) + + 2 2 2 + + x DATA(1, 1) + 5/4 x DATA(0, -1) - 5/4 x DATA(0, 1) + + 2 2 + + 1/4 x DATA(2, -1) - 1/4 x DATA(2, 1) + 1/4 x DATA(-1, -1) + + 3 3 3 + + 2 x y DATA(2, 1) + 5/2 x y DATA(-1, 0) - 5/2 x y DATA(2, 0) + + 3 3 3 + - x y DATA(-1, -1) - 2 x y DATA(-1, 1) - 3 x y DATA(1, -1) + + 3 3 3 + + 3 x y DATA(0, -1) - 3/2 x y DATA(0, 2) - 1/2 x y DATA(2, 2) + + 2 3 2 3 2 + - 9/2 y DATA(0, 1) - 9/4 x y DATA(2, 1) + 9/4 x y DATA(2, 0) + + 3 2 3 2 3 2 + + 3/4 x y DATA(-1, -1) - 9/4 x y DATA(-1, 0) + 27/4 x y DATA(0, 0) + + 3 2 3 2 3 2 + + 27/4 x y DATA(1, 1) - 27/4 x y DATA(0, 1) - 27/4 x y DATA(1, 0) + + 3 2 3 2 3 2 + - 3/4 x y DATA(-1, 2) - 9/4 x y DATA(1, 2) - 3/4 x y DATA(2, -1) + + 2 2 3 + + 9/2 y DATA(0, 0) + 3/2 y DATA(0, 2) - 3/4 x DATA(0, -1) + + 3 3 3 + + 3/4 x DATA(0, 1) + 1/4 x DATA(-1, -1) - 1/4 x DATA(-1, 1) + + 3 3 3 + + 3/4 x DATA(1, -1) - 3/4 x DATA(1, 1) - 1/4 x DATA(2, -1) + + 3 + + 1/4 x DATA(2, 1) + +> coeff_as_lc_of_data(%, posn_list_2d_size4); +bytes used=25020344, alloc=2096768, time=1.94 + 3 2 2 2 3 2 3 +[COEFF(-1, -1) = -x y + 3/4 x y - 3/2 x y - x y + 2 x y + 1/4 x + 1/4 x + + 2 2 2 2 3 2 3 + - 1/2 x + 3/4 x y , COEFF(0, -1) = 15/4 x y + 3 x y + 5/4 x - 3/4 x + + 3 2 2 2 2 2 + - 9/4 x y - 3/2 y + 2 y - 5 x y - 1/2, COEFF(1, -1) = -3 x y + + 2 3 2 3 2 3 2 + - 3/4 x y - 3 x y + 4 x y + 9/4 x y - 1/4 x + 3/4 x + x y - x , + + 2 3 2 2 3 2 3 2 + COEFF(2, -1) = 1/4 x + x y + 3/4 x y - 3/4 x y - 1/4 x - x y, + + COEFF(-1, 0) = + + 3 2 2 2 2 3 2 + 5/2 x y - 5 x y + 5/2 x y - 9/4 x y + 9/2 x y - 9/4 x y , COEFF(0, 0) + + 2 2 3 3 2 2 2 + = -5 y - 45/4 x y - 15/2 x y + 27/4 x y + 25/2 x y + 9/2 y , + + COEFF(1, 0) = + + 3 2 3 2 2 2 2 + - 5/2 x y - 27/4 x y + 15/2 x y + 9 x y + 9/4 x y - 10 x y, + + 3 3 2 2 2 2 + COEFF(2, 0) = - 5/2 x y + 9/4 x y + 5/2 x y - 9/4 x y , COEFF(-1, 1) + + 3 2 2 2 3 2 + = - 1/4 x - 9/2 x y + 9/4 x y - 2 x y + 4 x y - 1/4 x - 2 x y + + 3 2 2 3 3 2 3 + + 9/4 x y + 1/2 x , COEFF(0, 1) = 1/2 + 6 x y - 27/4 x y + 3/4 x + + 2 2 2 2 2 3 + + 45/4 x y - 9/2 y - 10 x y - 5/4 x + 4 y, COEFF(1, 1) = - 3/4 x + + 2 3 3 2 2 2 2 2 + + 8 x y - 6 x y + 27/4 x y + 1/4 x - 9 x y + 2 x y + x - 9/4 x y , + + 3 2 2 2 3 2 3 2 + COEFF(2, 1) = - 9/4 x y + 9/4 x y + 1/4 x - 2 x y + 2 x y - 1/4 x , + + COEFF(-1, 2) = + + 2 2 2 3 2 3 2 + -x y + 3/2 x y - 3/4 x y + 1/2 x y + 1/2 x y - 3/4 x y , + + 3 2 3 2 2 2 2 + COEFF(0, 2) = 9/4 x y - 3/2 x y - y + 3/2 y - 15/4 x y + 5/2 x y, + + 3 2 3 2 2 2 2 + COEFF(1, 2) = 3/2 x y - 2 x y - 9/4 x y - 1/2 x y + 3 x y + 3/4 x y , + + 3 3 2 2 2 2 + COEFF(2, 2) = - 1/2 x y + 3/4 x y - 3/4 x y + 1/2 x y] + +> print_coeff__lc_of_data(%, "coeff_dy_", "fp", +> "2d.coeffs/2d.cube.order2/coeff-dy.compute.c"); +bytes used=26020552, alloc=2096768, time=2.01 +bytes used=27022084, alloc=2096768, time=2.09 +bytes used=28024936, alloc=2096768, time=2.15 +bytes used=29025168, alloc=2096768, time=2.24 +bytes used=30026808, alloc=2096768, time=2.32 +bytes used=31027040, alloc=2096768, time=2.42 +bytes used=32027332, alloc=2096768, time=2.52 +> +# d^2/dx^2 +> simplify( diff(interp_2d_cube_order2,x,x) ); +bytes used=33060316, alloc=2096768, time=2.62 + 2 2 +-5 DATA(0, 0) + 4 DATA(1, 0) + 45/2 x y DATA(1, 0) + 3/2 x y DATA(-1, 2) + + 2 2 2 + + 9/2 x y DATA(1, 2) - 18 x y DATA(1, 1) + 15/2 x y DATA(-1, 0) + + 2 2 2 + - 3 x y DATA(-1, -1) - 6 x y DATA(-1, 1) - 9 x y DATA(1, -1) + + + 9/2 x y DATA(1, -1) - 9/2 x y DATA(1, 1) + 3/2 x y DATA(-1, -1) + + 2 + - 3/2 x y DATA(-1, 1) - 5 y DATA(0, -1) + 2 DATA(-1, 0) - DATA(2, 0) + + 3 + - 3 y DATA(-1, 1) + 5/2 y DATA(0, -1) - 5/2 y DATA(0, 1) + + 2 2 2 + - 10 y DATA(0, 1) + 25/2 y DATA(0, 0) + 5/2 y DATA(0, 2) + + 3 3 3 + - 3/2 y DATA(2, 0) - 9/2 x y DATA(0, -1) + 9/2 x y DATA(1, -1) + + 2 2 2 + + 18 x y DATA(0, 1) + 3 x y DATA(2, -1) - 15/2 x y DATA(2, 0) + + 2 2 2 + + 6 x y DATA(2, 1) - 3/2 x y DATA(2, 2) - 9/2 x y DATA(0, 2) + + 2 + + 9 x y DATA(0, -1) + 9/2 x y DATA(0, 1) - 9/2 x y DATA(0, -1) + + 3 + + 3/2 x y DATA(2, 1) - 3/2 x y DATA(2, -1) - y DATA(-1, -1) + + 3 3 3 + - 1/2 y DATA(2, 2) - 2 y DATA(1, -1) - 5/2 y DATA(0, 2) + + 3 2 2 2 + + 5/2 y DATA(0, -1) + 8 y DATA(1, 1) - 10 y DATA(1, 0) - y DATA(-1, 2) + + 2 2 2 2 + - 2 y DATA(1, 2) - y DATA(2, -1) - 2 y DATA(2, 1) - 5 y DATA(-1, 0) + + 2 3 3 + + 5/2 y DATA(2, 0) - 27/2 x y DATA(1, 0) - 3/2 x y DATA(-1, 2) + + 3 3 3 + + 27/2 x y DATA(1, 1) - 27/2 x y DATA(0, 1) + 27/2 x y DATA(0, 0) + + 2 2 2 + + 2 y DATA(-1, -1) + 4 y DATA(1, -1) + 1/2 y DATA(2, 2) + + - y DATA(-1, -1) + y DATA(-1, 1) - 2 y DATA(1, -1) + 2 y DATA(1, 1) + + + 1/2 y DATA(2, -1) - 1/2 y DATA(2, 1) + 9 x DATA(0, 0) - 3 x DATA(-1, 0) + + 3 3 + - 9 x DATA(1, 0) + 3 x DATA(2, 0) - 15/2 y DATA(0, 0) - 6 y DATA(1, 1) + + 3 3 3 3 + + 15/2 y DATA(0, 1) + 6 y DATA(1, 0) + y DATA(-1, 2) + 2 y DATA(1, 2) + + 3 3 3 + + 1/2 y DATA(2, -1) + 3/2 y DATA(2, 1) + 3 y DATA(-1, 0) + + 2 3 3 + + 4 y DATA(-1, 1) + 9/2 x y DATA(-1, 1) + 3/2 x y DATA(-1, -1) + + 3 3 3 + + 9/2 x y DATA(2, 0) - 9/2 x y DATA(-1, 0) - 9/2 x y DATA(2, 1) + + 3 3 2 + - 3/2 x y DATA(2, -1) - 9/2 x y DATA(1, 2) - 45/2 x y DATA(0, 0) + + 3 3 + + 3/2 x y DATA(2, 2) + 9/2 x y DATA(0, 2) + +> coeff_as_lc_of_data(%, posn_list_2d_size4); +bytes used=34060560, alloc=2096768, time=2.69 + 3 2 2 3 +[COEFF(-1, -1) = 3/2 x y - y - y + 2 y - 3 x y + 3/2 x y , + + 2 3 2 3 + COEFF(0, -1) = 5/2 y - 9/2 x y - 5 y + 5/2 y + 9 x y - 9/2 x y , + + 2 3 3 2 + COEFF(1, -1) = 4 y + 9/2 x y - 2 y - 2 y - 9 x y + 9/2 x y, + + 2 2 3 3 + COEFF(2, -1) = 1/2 y + 3 x y - y - 3/2 x y - 3/2 x y + 1/2 y , + + 2 3 3 2 + COEFF(-1, 0) = -5 y - 9/2 x y - 3 x + 2 + 3 y + 15/2 x y , + + 2 2 3 3 + COEFF(0, 0) = 25/2 y - 45/2 x y - 5 - 15/2 y + 9 x + 27/2 x y , + + 2 3 3 2 + COEFF(1, 0) = -10 y + 6 y - 27/2 x y - 9 x + 4 + 45/2 x y , + + 3 3 2 2 + COEFF(2, 0) = 9/2 x y - 3/2 y + 5/2 y - 15/2 x y - 1 + 3 x, + + 3 2 3 2 + COEFF(-1, 1) = 9/2 x y + y - 6 x y - 3/2 x y - 3 y + 4 y , + + 3 3 2 2 + COEFF(0, 1) = - 5/2 y + 15/2 y - 27/2 x y - 10 y + 9/2 x y + 18 x y , + + 2 2 3 3 + COEFF(1, 1) = -18 x y + 8 y - 6 y + 2 y + 27/2 x y - 9/2 x y, + + 2 3 3 2 + COEFF(2, 1) = 6 x y + 3/2 y + 3/2 x y - 9/2 x y - 1/2 y - 2 y , + + 3 2 3 2 + COEFF(-1, 2) = - 3/2 x y + 3/2 x y + y - y , + + 3 3 2 2 + COEFF(0, 2) = 9/2 x y - 5/2 y + 5/2 y - 9/2 x y , + + 2 3 2 3 + COEFF(1, 2) = 9/2 x y + 2 y - 2 y - 9/2 x y , + + 3 2 3 2 + COEFF(2, 2) = 3/2 x y + 1/2 y - 1/2 y - 3/2 x y ] + +> print_coeff__lc_of_data(%, "coeff_dxx_", "fp", +> "2d.coeffs/2d.cube.order2/coeff-dxx.compute.c"); +bytes used=35060820, alloc=2096768, time=2.76 +bytes used=36061084, alloc=2096768, time=2.87 +bytes used=37061260, alloc=2096768, time=2.94 +bytes used=38061508, alloc=2096768, time=3.03 +bytes used=39061700, alloc=2096768, time=3.14 +> +# d^2/dxdy +> simplify( diff(interp_2d_cube_order2,x,y) ); +bytes used=40061880, alloc=2096768, time=3.21 + 2 2 2 +18 x y DATA(0, 1) + 3/2 x y DATA(-1, 2) + 9/2 x y DATA(1, 2) + + 2 2 + + 3 x y DATA(2, -1) + 45/2 x y DATA(1, 0) + 1/4 DATA(1, 1) + + 2 2 2 + + 18 x y DATA(1, 0) + 3 x y DATA(-1, 2) + 6 x y DATA(1, 2) + + 2 2 2 + - 18 x y DATA(1, 1) + 9 x y DATA(-1, 0) - 3 x y DATA(-1, -1) + + 2 2 + - 9 x y DATA(-1, 1) - 6 x y DATA(1, -1) + 8 x y DATA(1, -1) + + + 16 x y DATA(1, 1) + 4 x y DATA(-1, -1) + 8 x y DATA(-1, 1) + + + 1/2 y DATA(-1, 2) + 5/2 y DATA(-1, 0) - 1/2 y DATA(1, 2) + + - 5/2 y DATA(1, 0) - 2 x DATA(1, -1) + x DATA(-1, 1) - x DATA(-1, -1) + + - 1/2 x DATA(2, 1) + 1/2 x DATA(2, -1) - 5/2 x DATA(0, 1) + + 2 2 2 + - 3/4 x DATA(-1, 1) + 3/4 x DATA(-1, -1) + 9/4 x DATA(0, 1) + + 2 2 2 + - 9/4 x DATA(0, -1) - 9/4 x DATA(1, 1) + 9/4 x DATA(1, -1) + + - 10 x y DATA(-1, 0) + 5 x y DATA(2, 0) + 5 x y DATA(0, 2) + + 2 2 + + x y DATA(2, 2) - 45/2 x y DATA(0, 0) + 3/4 x DATA(2, 1) + + 2 2 2 + + 9 x y DATA(0, -1) - 3/4 x DATA(2, -1) - 3/2 x y DATA(2, 2) + + 2 2 2 + - 9/2 x y DATA(0, 2) + 6 x y DATA(2, 1) + 15/2 x y DATA(-1, 0) + + 2 2 2 + - 15/2 x y DATA(2, 0) - 3 x y DATA(-1, -1) - 6 x y DATA(-1, 1) + + 2 2 + - 9 x y DATA(1, -1) - 18 x y DATA(1, 1) + 25 x y DATA(0, 0) + + - 2 x y DATA(-1, 2) - 20 x y DATA(1, 0) - 4 x y DATA(1, 2) + + 2 2 2 2 + + 5/2 x DATA(0, -1) + 9/4 x y DATA(2, 2) + 27/4 x y DATA(0, 2) + + 2 2 2 2 2 2 + - 27/4 x y DATA(0, -1) + 27/4 x y DATA(1, -1) + 27/4 x y DATA(-1, 1) + + 2 2 2 2 2 2 + + 9/4 x y DATA(-1, -1) + 27/4 x y DATA(2, 0) - 27/4 x y DATA(1, 2) + + 2 2 2 2 2 2 + - 9/4 x y DATA(-1, 2) - 81/4 x y DATA(1, 0) - 81/4 x y DATA(0, 1) + + 2 2 2 2 + + 2 x DATA(1, 1) + 81/4 x y DATA(0, 0) - 27/4 x y DATA(-1, 0) + + 2 2 2 2 2 2 + - 27/4 x y DATA(2, 1) - 9/4 x y DATA(2, -1) + 81/4 x y DATA(1, 1) + + + 1/4 DATA(-1, -1) - 1/4 DATA(-1, 1) - 1/4 DATA(1, -1) + + 2 2 2 + + 45/2 x y DATA(0, 1) + 3/2 x y DATA(2, -1) - 9/2 x y DATA(2, 0) + + 2 2 2 + + 9/2 x y DATA(2, 1) - 3/2 x y DATA(2, 2) - 15/2 x y DATA(0, 2) + + 2 + + 15/2 x y DATA(0, -1) - 20 x y DATA(0, 1) - 10 x y DATA(0, -1) + + 2 + - 4 x y DATA(2, 1) - 2 x y DATA(2, -1) - 9/4 y DATA(1, 1) + + 2 2 2 + + 9/4 y DATA(1, 0) - 3/4 y DATA(-1, 2) + 3/4 y DATA(1, 2) + + 2 2 2 + - 9/4 y DATA(-1, 0) + 3/4 y DATA(-1, -1) - 3/4 y DATA(1, -1) + + - y DATA(-1, -1) - 2 y DATA(-1, 1) + y DATA(1, -1) + 2 y DATA(1, 1) + + 2 2 + + 9/4 y DATA(-1, 1) - 45/2 x y DATA(0, 0) + +> coeff_as_lc_of_data(%, posn_list_2d_size4); +[COEFF(-1, -1) = + + 2 2 2 2 2 2 + -3 x y + 3/4 x - x + 1/4 - 3 x y + 4 x y - y + 9/4 x y + 3/4 y , + + 2 2 2 2 2 + COEFF(0, -1) = - 9/4 x + 15/2 x y - 10 x y + 5/2 x + 9 x y - 27/4 x y , + + COEFF(1, -1) = + + 2 2 2 2 2 2 + 8 x y - 9 x y - 3/4 y + 27/4 x y - 6 x y + y - 2 x - 1/4 + 9/4 x , + + 2 2 2 2 2 + COEFF(2, -1) = -2 x y - 3/4 x + 3/2 x y - 9/4 x y + 1/2 x + 3 x y, + + 2 2 2 2 2 + COEFF(-1, 0) = 15/2 x y + 9 x y - 9/4 y - 27/4 x y + 5/2 y - 10 x y, + + 2 2 2 2 + COEFF(0, 0) = 81/4 x y - 45/2 x y - 45/2 x y + 25 x y, + + 2 2 2 2 2 + COEFF(1, 0) = 18 x y - 20 x y - 5/2 y + 45/2 x y + 9/4 y - 81/4 x y , + + 2 2 2 2 + COEFF(2, 0) = - 9/2 x y + 27/4 x y - 15/2 x y + 5 x y, COEFF(-1, 1) = + + 2 2 2 2 2 2 + 8 x y - 1/4 + 9/4 y - 2 y - 6 x y - 9 x y + 27/4 x y - 3/4 x + x, + + 2 2 2 2 2 + COEFF(0, 1) = 45/2 x y - 20 x y + 18 x y - 81/4 x y - 5/2 x + 9/4 x , + + COEFF(1, 1) = + + 2 2 2 2 2 2 + 2 y + 81/4 x y - 18 x y - 9/4 y + 1/4 - 9/4 x + 2 x + 16 x y - 18 x y + + 2 2 2 2 2 + , COEFF(2, 1) = 6 x y - 1/2 x - 27/4 x y + 9/2 x y - 4 x y + 3/4 x , + + 2 2 2 2 2 + COEFF(-1, 2) = - 3/4 y - 9/4 x y - 2 x y + 1/2 y + 3/2 x y + 3 x y , + + 2 2 2 2 + COEFF(0, 2) = - 15/2 x y + 27/4 x y - 9/2 x y + 5 x y, + + 2 2 2 2 2 + COEFF(1, 2) = - 27/4 x y + 6 x y + 3/4 y - 1/2 y + 9/2 x y - 4 x y, + + 2 2 2 2 + COEFF(2, 2) = 9/4 x y - 3/2 x y - 3/2 x y + x y] + +> print_coeff__lc_of_data(%, "coeff_dxy_", "fp", +> "2d.coeffs/2d.cube.order2/coeff-dxy.compute.c"); +bytes used=41062628, alloc=2162292, time=3.27 +bytes used=42069408, alloc=2162292, time=3.34 +bytes used=43069768, alloc=2162292, time=3.42 +bytes used=44070096, alloc=2162292, time=3.52 +bytes used=45070276, alloc=2162292, time=3.60 +bytes used=46070548, alloc=2162292, time=3.72 +bytes used=47070788, alloc=2162292, time=3.84 +> +# d^2/dy^2 +> simplify( diff(interp_2d_cube_order2,y,y) ); +bytes used=48078324, alloc=2162292, time=3.96 + 2 2 2 +45/2 x y DATA(0, 1) + 3 x y DATA(-1, 2) + 6 x y DATA(1, 2) + + 2 2 + + 3/2 x y DATA(2, -1) + 18 x y DATA(1, 0) - 5 DATA(0, 0) + 4 DATA(0, 1) + + - 3/2 x y DATA(1, -1) - 9/2 x y DATA(1, 1) + 3/2 x y DATA(-1, -1) + + + 9/2 x y DATA(-1, 1) + x DATA(1, -1) - 2 x DATA(-1, 1) - x DATA(-1, -1) + + 2 2 2 + + 4 x DATA(-1, 1) + 2 x DATA(-1, -1) - 10 x DATA(0, 1) + + 2 2 2 + - 5 x DATA(0, -1) + 8 x DATA(1, 1) + 4 x DATA(1, -1) + + 2 2 + - 9/2 x y DATA(-1, 0) - 45/2 x y DATA(0, 0) - 2 x DATA(2, 1) + + 2 2 2 + + 15/2 x y DATA(0, -1) - x DATA(2, -1) - 3/2 x y DATA(2, 2) + + 2 2 2 + - 15/2 x y DATA(0, 2) + 9/2 x y DATA(2, 1) + 9 x y DATA(-1, 0) + + 2 2 2 + - 9/2 x y DATA(2, 0) - 3 x y DATA(-1, -1) - 9 x y DATA(-1, 1) + + 2 2 + - 6 x y DATA(1, -1) - 18 x y DATA(1, 1) - 3/2 x y DATA(-1, 2) + + + 9/2 x y DATA(1, 0) + 3/2 x y DATA(1, 2) + 2 x DATA(1, 1) + 2 DATA(0, -1) + + 2 + - DATA(0, 2) - x DATA(-1, 2) - 3 y DATA(0, -1) - 9 y DATA(0, 1) + + 2 3 + + 9 y DATA(0, 0) + 3 y DATA(0, 2) - 2 x DATA(1, 2) + 27/2 y x DATA(0, 0) + + 3 3 3 + + 27/2 y x DATA(1, 1) - 27/2 y x DATA(0, 1) - 27/2 y x DATA(1, 0) + + 3 3 3 + - 3/2 y x DATA(-1, 2) + 1/2 x DATA(-1, 2) + 3/2 x DATA(1, 2) + + 3 3 3 + + x DATA(2, -1) + 2 x DATA(2, 1) + 5/2 x DATA(-1, 0) + + 3 3 3 + - 5/2 x DATA(2, 0) - x DATA(-1, -1) - 2 x DATA(-1, 1) + + 3 3 3 + - 3 x DATA(1, -1) + 3 x DATA(0, -1) - 3/2 x DATA(0, 2) + + 3 + - 1/2 x DATA(2, 2) + 5/2 x DATA(-1, 0) + 1/2 x DATA(-1, 2) + + 2 + - 5/2 x DATA(1, 0) - 1/2 x DATA(1, 2) + 25/2 x DATA(0, 0) + + 2 3 2 + - 10 x DATA(1, 0) - 3/2 y x DATA(2, -1) - 5 x DATA(-1, 0) + + 2 2 2 + + 5/2 x DATA(2, 0) + 5/2 x DATA(0, 2) + 1/2 x DATA(2, 2) + + 3 3 3 + - 15/2 x DATA(0, 0) - 6 x DATA(1, 1) + 6 x DATA(0, 1) + + 3 3 3 + + 15/2 x DATA(1, 0) - 9/2 y x DATA(1, 2) - 9/2 y x DATA(2, 1) + + 3 3 3 + - 9/2 y x DATA(-1, 0) + 9/2 y x DATA(2, 0) + 3/2 y x DATA(-1, -1) + + 3 3 3 + + 9/2 y x DATA(-1, 1) + 9/2 y x DATA(1, -1) - 9/2 y x DATA(0, -1) + + 3 3 + + 9/2 y x DATA(0, 2) + 3/2 y x DATA(2, 2) + +> coeff_as_lc_of_data(%, posn_list_2d_size4); +bytes used=49078508, alloc=2162292, time=4.02 + 2 2 3 3 +[COEFF(-1, -1) = 2 x + 3/2 x y - 3 x y - x - x + 3/2 y x , + + 3 2 2 3 + COEFF(0, -1) = -3 y - 9/2 y x - 5 x + 2 + 15/2 x y + 3 x , + + 3 2 2 3 + COEFF(1, -1) = x + 9/2 y x - 3/2 x y - 6 x y + 4 x - 3 x , + + 2 2 3 3 + COEFF(2, -1) = -x + 3/2 x y - 3/2 y x + x , + + 3 3 2 2 + COEFF(-1, 0) = 5/2 x + 5/2 x - 9/2 y x + 9 x y - 9/2 x y - 5 x , + + 3 3 2 2 + COEFF(0, 0) = - 15/2 x + 9 y + 27/2 y x - 5 + 25/2 x - 45/2 x y, + + 2 3 2 3 + COEFF(1, 0) = - 5/2 x - 10 x + 15/2 x + 18 x y - 27/2 y x + 9/2 x y, + + 2 3 2 3 + COEFF(2, 0) = - 9/2 x y + 9/2 y x + 5/2 x - 5/2 x , + + 2 3 2 3 + COEFF(-1, 1) = -2 x + 4 x - 2 x - 9 x y + 9/2 y x + 9/2 x y, + + 2 3 2 3 + COEFF(0, 1) = 45/2 x y + 6 x - 10 x + 4 - 27/2 y x - 9 y, + + 3 2 2 3 + COEFF(1, 1) = 27/2 y x - 18 x y - 9/2 x y + 8 x + 2 x - 6 x , + + 2 2 3 3 + COEFF(2, 1) = 9/2 x y - 2 x + 2 x - 9/2 y x , + + 2 3 2 3 + COEFF(-1, 2) = 3 x y - 3/2 y x + 1/2 x - x - 3/2 x y + 1/2 x , + + 2 3 3 2 + COEFF(0, 2) = 5/2 x + 9/2 y x - 3/2 x - 1 + 3 y - 15/2 x y, + + 3 2 2 3 + COEFF(1, 2) = - 9/2 y x - 2 x + 3/2 x y - 1/2 x + 6 x y + 3/2 x , + + 2 3 2 3 + COEFF(2, 2) = - 3/2 x y + 3/2 y x + 1/2 x - 1/2 x ] + +> print_coeff__lc_of_data(%, "coeff_dyy_", "fp", +> "2d.coeffs/2d.cube.order2/coeff-dyy.compute.c"); +bytes used=50078744, alloc=2162292, time=4.09 +bytes used=51078920, alloc=2162292, time=4.20 +bytes used=52079148, alloc=2162292, time=4.28 +bytes used=53079364, alloc=2162292, time=4.38 +bytes used=54080212, alloc=2162292, time=4.49 +> +################################################################################ +> +# +# 2d, cube, polynomial order=3, derivatives via 5-point order=4 formula +# ==> overall order=3, 6-point molecule +# +> +# interpolating polynomial +> interp_2d_cube_order3 +> := Hermite_polynomial_interpolant(fn_2d_order3, +> coeff_set_2d_order3, +> [x,y], +> { +> {x} = deriv_2d_dx_5point, +> {y} = deriv_2d_dy_5point, +> {x,y} = deriv_2d_dxy_5point +> }, +> {op(posn_list_2d_size2)}, +> {op(posn_list_2d_size2)}); +bytes used=55080848, alloc=2162292, time=4.59 +bytes used=56082112, alloc=2162292, time=4.68 +interp_2d_cube_order3 := (1/12 DATA(0, -2) - 7/12 DATA(0, -1) - 4/3 DATA(0, 1) + + 3 + + 7/12 DATA(0, 2) + 4/3 DATA(0, 0) - 1/12 DATA(0, 3)) y + ( + + - 8/9 DATA(1, 1) + 8/9 DATA(1, 0) + 1/144 DATA(2, 3) - 1/18 DATA(1, 3) + + + 1/18 DATA(-1, 3) - 1/144 DATA(-2, 3) - 1/144 DATA(2, -2) + + + 1/18 DATA(1, -2) - 1/18 DATA(-1, -2) + 1/144 DATA(-2, -2) + + - 7/144 DATA(-2, -1) - 1/9 DATA(-2, 1) + 7/144 DATA(-2, 2) + + + 1/9 DATA(-2, 0) - 7/18 DATA(-1, 2) + 7/18 DATA(1, 2) + 7/144 DATA(2, -1) + + + 1/9 DATA(2, 1) - 8/9 DATA(-1, 0) - 1/9 DATA(2, 0) + 7/18 DATA(-1, -1) + + 3 / + + 8/9 DATA(-1, 1) - 7/18 DATA(1, -1) - 7/144 DATA(2, 2)) x y + | + \ + + - 28/9 DATA(0, 0) - 20/9 DATA(1, 1) + 28/9 DATA(0, 1) + 20/9 DATA(1, 0) + + + 1/144 DATA(3, -2) - 7/144 DATA(3, -1) - 1/9 DATA(3, 1) + + + 7/144 DATA(3, 2) + 1/24 DATA(2, 3) - 5/36 DATA(1, 3) - 5/48 DATA(-1, 3) + + + 1/72 DATA(-2, 3) - 1/24 DATA(2, -2) + 5/36 DATA(1, -2) + + + 5/48 DATA(-1, -2) - 1/72 DATA(-2, -2) + 7/72 DATA(-2, -1) + + + 2/9 DATA(-2, 1) - 7/72 DATA(-2, 2) + 1/9 DATA(3, 0) + 7/36 DATA(0, 3) + + 35 + - 2/9 DATA(-2, 0) - 7/36 DATA(0, -2) - 1/144 DATA(3, 3) + -- DATA(-1, 2) + 48 + + 35 + + -- DATA(1, 2) + 7/24 DATA(2, -1) + 2/3 DATA(2, 1) + 5/3 DATA(-1, 0) + 36 + + 35 35 + - 2/3 DATA(2, 0) - -- DATA(-1, -1) - 5/3 DATA(-1, 1) - -- DATA(1, -1) + 48 36 + + 49 49 \ 2 3 / + + -- DATA(0, -1) - -- DATA(0, 2) - 7/24 DATA(2, 2)| x y + | + 36 36 / \ + + 16/9 DATA(0, 0) + 16/9 DATA(1, 1) - 16/9 DATA(0, 1) - 16/9 DATA(1, 0) + + - 1/144 DATA(3, -2) + 7/144 DATA(3, -1) + 1/9 DATA(3, 1) + + - 7/144 DATA(3, 2) - 7/144 DATA(2, 3) + 1/9 DATA(1, 3) + 7/144 DATA(-1, 3) + + - 1/144 DATA(-2, 3) + 7/144 DATA(2, -2) - 1/9 DATA(1, -2) + + - 7/144 DATA(-1, -2) + 1/144 DATA(-2, -2) - 7/144 DATA(-2, -1) + + - 1/9 DATA(-2, 1) + 7/144 DATA(-2, 2) - 1/9 DATA(3, 0) - 1/9 DATA(0, 3) + + 49 + + 1/9 DATA(-2, 0) + 1/9 DATA(0, -2) + 1/144 DATA(3, 3) - --- DATA(-1, 2) + 144 + + 49 + - 7/9 DATA(1, 2) - --- DATA(2, -1) - 7/9 DATA(2, 1) - 7/9 DATA(-1, 0) + 144 + + 49 + + 7/9 DATA(2, 0) + --- DATA(-1, -1) + 7/9 DATA(-1, 1) + 7/9 DATA(1, -1) + 144 + + 49 \ 3 3 + - 7/9 DATA(0, -1) + 7/9 DATA(0, 2) + --- DATA(2, 2)| x y + ( + 144 / + + - 1/6 DATA(0, -2) + 5/4 DATA(0, -1) + 5/3 DATA(0, 1) - 1/2 DATA(0, 2) + + 2 + - 7/3 DATA(0, 0) + 1/12 DATA(0, 3)) y + (10/9 DATA(1, 1) + + - 14/9 DATA(1, 0) - 1/144 DATA(2, 3) + 1/18 DATA(1, 3) - 1/18 DATA(-1, 3) + + + 1/144 DATA(-2, 3) + 1/72 DATA(2, -2) - 1/9 DATA(1, -2) + + + 1/9 DATA(-1, -2) - 1/72 DATA(-2, -2) + 5/48 DATA(-2, -1) + + + 5/36 DATA(-2, 1) - 1/24 DATA(-2, 2) - 7/36 DATA(-2, 0) + 1/3 DATA(-1, 2) + + - 1/3 DATA(1, 2) - 5/48 DATA(2, -1) - 5/36 DATA(2, 1) + 14/9 DATA(-1, 0) + + + 7/36 DATA(2, 0) - 5/6 DATA(-1, -1) - 10/9 DATA(-1, 1) + 5/6 DATA(1, -1) + + 2 / + + 1/24 DATA(2, 2)) x y + |49/9 DATA(0, 0) + 25/9 DATA(1, 1) + \ + + - 35/9 DATA(0, 1) - 35/9 DATA(1, 0) - 1/72 DATA(3, -2) + 5/48 DATA(3, -1) + + + 5/36 DATA(3, 1) - 1/24 DATA(3, 2) - 1/24 DATA(2, 3) + 5/36 DATA(1, 3) + + + 5/48 DATA(-1, 3) - 1/72 DATA(-2, 3) + 1/12 DATA(2, -2) + + - 5/18 DATA(1, -2) - 5/24 DATA(-1, -2) + 1/36 DATA(-2, -2) + + - 5/24 DATA(-2, -1) - 5/18 DATA(-2, 1) + 1/12 DATA(-2, 2) + + - 7/36 DATA(3, 0) - 7/36 DATA(0, 3) + 7/18 DATA(-2, 0) + 7/18 DATA(0, -2) + + + 1/144 DATA(3, 3) - 5/8 DATA(-1, 2) - 5/6 DATA(1, 2) - 5/8 DATA(2, -1) + + 35 25 + - 5/6 DATA(2, 1) - -- DATA(-1, 0) + 7/6 DATA(2, 0) + -- DATA(-1, -1) + 12 16 + + 25 25 35 + + -- DATA(-1, 1) + -- DATA(1, -1) - -- DATA(0, -1) + 7/6 DATA(0, 2) + 12 12 12 + + \ 2 2 / + + 1/4 DATA(2, 2)| x y + |- 28/9 DATA(0, 0) - 20/9 DATA(1, 1) + / \ + + + 20/9 DATA(0, 1) + 28/9 DATA(1, 0) + 1/72 DATA(3, -2) - 5/48 DATA(3, -1) + + - 5/36 DATA(3, 1) + 1/24 DATA(3, 2) + 7/144 DATA(2, 3) - 1/9 DATA(1, 3) + + - 7/144 DATA(-1, 3) + 1/144 DATA(-2, 3) - 7/72 DATA(2, -2) + + + 2/9 DATA(1, -2) + 7/72 DATA(-1, -2) - 1/72 DATA(-2, -2) + + + 5/48 DATA(-2, -1) + 5/36 DATA(-2, 1) - 1/24 DATA(-2, 2) + + + 7/36 DATA(3, 0) + 1/9 DATA(0, 3) - 7/36 DATA(-2, 0) - 2/9 DATA(0, -2) + + 35 + - 1/144 DATA(3, 3) + 7/24 DATA(-1, 2) + 2/3 DATA(1, 2) + -- DATA(2, -1) + 48 + + 35 49 49 35 + + -- DATA(2, 1) + -- DATA(-1, 0) - -- DATA(2, 0) - -- DATA(-1, -1) + 36 36 36 48 + + 35 + - -- DATA(-1, 1) - 5/3 DATA(1, -1) + 5/3 DATA(0, -1) - 2/3 DATA(0, 2) + 36 + + \ 3 2 + - 7/24 DATA(2, 2)| x y + + / + + (1/12 DATA(0, -2) - 2/3 DATA(0, -1) + 2/3 DATA(0, 1) - 1/12 DATA(0, 2)) y + + + (1/144 DATA(-2, -2) - 1/18 DATA(-2, -1) + 1/18 DATA(-2, 1) + + - 1/144 DATA(-2, 2) - 1/18 DATA(-1, -2) + 4/9 DATA(-1, -1) + + - 4/9 DATA(-1, 1) + 1/18 DATA(-1, 2) + 1/18 DATA(1, -2) - 4/9 DATA(1, -1) + + + 4/9 DATA(1, 1) - 1/18 DATA(1, 2) - 1/144 DATA(2, -2) + 1/18 DATA(2, -1) + + - 1/18 DATA(2, 1) + 1/144 DATA(2, 2)) x y + (10/9 DATA(1, 1) + + - 14/9 DATA(0, 1) + 1/144 DATA(3, -2) - 1/18 DATA(3, -1) + 1/18 DATA(3, 1) + + - 1/144 DATA(3, 2) - 1/24 DATA(2, -2) + 5/36 DATA(1, -2) + + + 5/48 DATA(-1, -2) - 1/72 DATA(-2, -2) + 1/9 DATA(-2, -1) + + - 1/9 DATA(-2, 1) + 1/72 DATA(-2, 2) - 7/36 DATA(0, -2) - 5/48 DATA(-1, 2) + + - 5/36 DATA(1, 2) + 1/3 DATA(2, -1) - 1/3 DATA(2, 1) - 5/6 DATA(-1, -1) + + + 5/6 DATA(-1, 1) - 10/9 DATA(1, -1) + 14/9 DATA(0, -1) + 7/36 DATA(0, 2) + + 2 + + 1/24 DATA(2, 2)) x y + (- 8/9 DATA(1, 1) + 8/9 DATA(0, 1) + + - 1/144 DATA(3, -2) + 1/18 DATA(3, -1) - 1/18 DATA(3, 1) + + + 1/144 DATA(3, 2) + 7/144 DATA(2, -2) - 1/9 DATA(1, -2) + + - 7/144 DATA(-1, -2) + 1/144 DATA(-2, -2) - 1/18 DATA(-2, -1) + + + 1/18 DATA(-2, 1) - 1/144 DATA(-2, 2) + 1/9 DATA(0, -2) + + + 7/144 DATA(-1, 2) + 1/9 DATA(1, 2) - 7/18 DATA(2, -1) + 7/18 DATA(2, 1) + + + 7/18 DATA(-1, -1) - 7/18 DATA(-1, 1) + 8/9 DATA(1, -1) - 8/9 DATA(0, -1) + + 3 + - 1/9 DATA(0, 2) - 7/144 DATA(2, 2)) x y + DATA(0, 0) + + + (1/12 DATA(-2, 0) - 2/3 DATA(-1, 0) + 2/3 DATA(1, 0) - 1/12 DATA(2, 0)) x + + + (- 1/6 DATA(-2, 0) + 5/4 DATA(-1, 0) + 5/3 DATA(1, 0) - 1/2 DATA(2, 0) + + 2 + - 7/3 DATA(0, 0) + 1/12 DATA(3, 0)) x + (4/3 DATA(0, 0) + + + 1/12 DATA(-2, 0) - 7/12 DATA(-1, 0) - 4/3 DATA(1, 0) + 7/12 DATA(2, 0) + + 3 + - 1/12 DATA(3, 0)) x + +> +# I +> coeff_as_lc_of_data(%, posn_list_2d_size6); +bytes used=57086940, alloc=2162292, time=4.76 +bytes used=58098416, alloc=2162292, time=4.83 + 3 2 2 3 3 +[COEFF(-2, -2) = 1/144 x y - 1/72 x y - 1/72 x y + 1/144 x y + 1/144 y x + + 2 3 2 3 3 2 2 + - 1/72 x y - 1/72 x y + 1/144 x y + 1/36 x y , COEFF(-1, -2) = + + 2 3 2 3 2 3 2 + 1/9 x y - 1/18 x y - 1/18 x y + 5/48 x y + 5/48 x y + 7/72 x y + + 2 2 3 3 3 3 + - 5/24 x y - 7/144 x y - 7/144 y x , COEFF(0, -2) = 1/12 y + + 3 3 3 2 2 2 2 3 2 + + 1/9 x y + 1/9 y x + 7/18 x y - 7/36 x y - 7/36 x y - 1/6 y + + 3 2 2 3 2 + + 1/12 y - 2/9 x y , COEFF(1, -2) = 1/18 x y + 5/36 x y + 5/36 x y + + 3 2 2 3 2 2 3 3 3 + + 2/9 x y - 1/9 x y + 1/18 x y - 5/18 x y - 1/9 x y - 1/9 y x , + + 3 3 3 2 2 2 3 + COEFF(2, -2) = 7/144 x y - 7/72 x y + 1/12 x y + 7/144 y x + + 2 2 3 3 2 + + 1/72 x y - 1/24 x y - 1/144 x y - 1/144 x y - 1/24 x y, + + 2 3 3 3 2 2 2 + COEFF(3, -2) = 1/144 x y - 1/144 x y + 1/144 x y - 1/72 x y + + 3 3 2 2 2 3 + - 1/144 y x + 1/72 x y , COEFF(-2, -1) = 1/9 x y + 7/72 x y + + 3 3 2 3 3 2 3 + - 7/144 x y - 1/18 x y + 5/48 x y - 7/144 x y + 5/48 x y - 1/18 y x + + 2 2 3 2 2 49 3 3 + - 5/24 x y , COEFF(-1, -1) = 7/18 x y - 5/6 x y - 5/6 x y + --- x y + 144 + + 3 35 2 3 25 2 2 35 3 2 + + 7/18 y x - -- x y + 4/9 x y + -- x y - -- x y , COEFF(0, -1) = + 48 16 48 + + 3 3 2 2 49 2 3 3 3 2 + - 7/12 y + 5/3 x y + 14/9 x y + -- x y - 7/9 x y + 5/4 y + 36 + + 3 35 2 2 2 3 3 + - 8/9 y x - -- x y - 2/3 y, COEFF(1, -1) = - 10/9 x y + 7/9 x y + 12 + + 2 3 2 3 25 2 2 35 2 3 + + 5/6 x y - 5/3 x y + 8/9 y x - 4/9 x y + -- x y - -- x y + 12 36 + + 3 2 2 2 35 3 2 + - 7/18 x y , COEFF(2, -1) = 1/18 x y - 5/8 x y + 1/3 x y + -- x y + 48 + + 49 3 3 2 3 3 2 3 + - --- x y + 7/24 x y - 7/18 y x - 5/48 x y + 7/144 x y , + 144 + + COEFF(3, -1) = + + 3 3 2 2 3 2 3 2 2 3 + 7/144 x y + 5/48 x y - 5/48 x y + 1/18 y x - 1/18 x y - 7/144 x y + + 3 3 2 2 3 3 3 + , COEFF(-2, 0) = 1/12 x + 1/9 x y - 1/6 x - 2/9 x y + 1/9 x y + + 3 2 2 2 2 3 + - 7/36 x y + 7/18 x y + 1/12 x - 7/36 x y , COEFF(-1, 0) = - 7/12 x + + 2 3 3 3 3 35 2 2 2 49 3 2 + + 5/3 x y - 8/9 x y - 7/9 x y - -- x y + 5/4 x - 2/3 x + -- x y + 12 36 + + 2 2 2 2 3 3 + + 14/9 x y , COEFF(0, 0) = - 7/3 x + 49/9 x y + 4/3 x + 4/3 y + 1 + + 2 3 3 3 2 2 3 2 + - 7/3 y + 16/9 x y - 28/9 x y - 28/9 x y , COEFF(1, 0) = 5/3 x + + 3 3 3 3 2 2 3 + + 8/9 x y - 16/9 x y + 28/9 x y + 2/3 x - 14/9 x y - 4/3 x + + 2 3 2 2 2 49 3 2 2 + + 20/9 x y - 35/9 x y , COEFF(2, 0) = - 1/2 x - -- x y + 7/36 x y + 36 + + 3 3 3 2 3 2 2 3 + + 7/12 x - 1/12 x + 7/9 x y - 2/3 x y + 7/6 x y - 1/9 x y , + + COEFF(3, 0) = + + 3 3 3 2 2 2 2 3 2 3 + - 1/9 x y + 7/36 x y - 7/36 x y + 1/12 x - 1/12 x + 1/9 x y , + + 2 2 2 3 3 2 2 + COEFF(-2, 1) = - 5/18 x y + 1/18 x y + 2/9 x y + 5/36 x y - 1/9 x y + + 3 3 3 2 3 3 3 + - 1/9 x y + 1/18 y x + 5/36 x y - 1/9 x y , COEFF(-1, 1) = 7/9 x y + + 3 2 35 3 2 3 2 + - 7/18 y x - 10/9 x y - -- x y + 8/9 x y + 5/6 x y - 4/9 x y + 36 + + 25 2 2 2 3 2 2 2 3 + + -- x y - 5/3 x y , COEFF(0, 1) = 5/3 y - 35/9 x y - 4/3 y + 12 + + 3 3 3 2 2 3 3 2 + - 16/9 x y + 20/9 x y + 2/3 y + 28/9 x y + 8/9 y x - 14/9 x y, + + 2 2 3 2 3 3 + COEFF(1, 1) = 10/9 x y - 20/9 x y + 4/9 x y + 10/9 x y + 16/9 x y + + 3 2 3 3 2 2 2 3 + - 20/9 x y - 8/9 x y - 8/9 y x + 25/9 x y , COEFF(2, 1) = 2/3 x y + + 2 2 3 2 3 3 2 35 3 2 + - 5/6 x y + 7/18 y x - 5/36 x y - 7/9 x y - 1/3 x y + -- x y + 36 + + 3 + - 1/18 x y + 1/9 x y , COEFF(3, 1) = + + 3 3 3 2 2 3 2 2 2 3 + 1/9 x y - 5/36 x y + 1/18 x y - 1/18 y x + 5/36 x y - 1/9 x y , + + 3 3 2 2 3 3 2 + COEFF(-2, 2) = 7/144 x y + 1/12 x y + 7/144 x y - 1/24 x y + + 2 2 3 3 2 + - 1/24 x y - 7/72 x y - 1/144 x y - 1/144 y x + 1/72 x y, + + 49 3 3 2 2 3 2 35 2 3 3 + COEFF(-1, 2) = - --- x y - 5/8 x y + 7/24 x y + -- x y - 7/18 x y + 144 48 + + 2 3 2 + + 1/3 x y + 1/18 x y + 7/144 y x - 5/48 x y, COEFF(0, 2) = - 1/12 y + + 49 2 3 3 3 2 2 3 2 3 2 + - -- x y + 7/9 x y + 7/6 x y - 2/3 x y - 1/9 y x - 1/2 y + 36 + + 3 2 3 2 + + 7/12 y + 7/36 x y, COEFF(1, 2) = 7/18 x y - 1/3 x y - 1/18 x y + + 35 2 3 3 3 3 2 2 3 2 2 + + -- x y - 7/9 x y + 1/9 y x - 5/6 x y + 2/3 x y - 5/36 x y, + 36 + + 3 2 2 3 49 3 3 + COEFF(2, 2) = - 7/144 y x + 1/24 x y + 1/144 x y - 7/24 x y + --- x y + 144 + + 3 2 2 2 3 2 + - 7/24 x y + 1/4 x y - 7/144 x y + 1/24 x y, COEFF(3, 2) = + + 3 2 3 2 2 3 2 2 + 1/24 x y + 1/144 y x - 1/144 x y + 7/144 x y - 1/24 x y + + 3 3 3 2 2 3 2 2 + - 7/144 x y , COEFF(-2, 3) = 1/144 x y + 1/72 x y - 1/72 x y + + 2 3 3 3 3 2 + + 1/144 x y - 1/144 x y - 1/144 x y , COEFF(-1, 3) = - 7/144 x y + + 2 3 2 2 2 3 3 3 + - 5/48 x y + 5/48 x y - 1/18 x y + 1/18 x y + 7/144 x y , + + COEFF(0, 3) = + + 3 2 3 2 2 2 3 3 3 2 + 1/9 x y - 1/12 y - 7/36 x y + 7/36 x y - 1/9 x y + 1/12 y , + + COEFF(1, 3) = + + 3 3 2 2 3 2 2 2 3 3 + - 1/18 x y - 1/9 x y - 5/36 x y + 5/36 x y + 1/18 x y + 1/9 x y , + + 3 2 3 2 2 2 + COEFF(2, 3) = 7/144 x y + 1/144 x y - 1/24 x y - 1/144 x y + + 2 3 3 3 + + 1/24 x y - 7/144 x y , + + 3 3 3 2 2 3 2 2 + COEFF(3, 3) = 1/144 x y - 1/144 x y - 1/144 x y + 1/144 x y ] + +> print_coeff__lc_of_data(%, "coeff_I_", "fp", +> "2d.coeffs/2d.cube.order3/coeff-I.compute.c"); +bytes used=59098624, alloc=2358864, time=4.89 +bytes used=60098880, alloc=2358864, time=4.95 +bytes used=61099072, alloc=2358864, time=5.02 +bytes used=62099268, alloc=2358864, time=5.10 +bytes used=63101508, alloc=2424388, time=5.14 +bytes used=64109432, alloc=2424388, time=5.21 +bytes used=65110672, alloc=2424388, time=5.29 +bytes used=66111848, alloc=2424388, time=5.36 +bytes used=67112076, alloc=2424388, time=5.43 +bytes used=68112456, alloc=2424388, time=5.50 +bytes used=69112700, alloc=2424388, time=5.56 +bytes used=70112884, alloc=2424388, time=5.63 +bytes used=71113220, alloc=2424388, time=5.83 +bytes used=72113496, alloc=2424388, time=5.90 +bytes used=73113668, alloc=2424388, time=5.96 +bytes used=74113848, alloc=2424388, time=6.03 +bytes used=75114056, alloc=2555436, time=6.12 +bytes used=76114324, alloc=2555436, time=6.22 +bytes used=77114496, alloc=2555436, time=6.31 +bytes used=78114672, alloc=2555436, time=6.41 +bytes used=79114912, alloc=2555436, time=6.49 +bytes used=80126992, alloc=2555436, time=6.57 +bytes used=81127148, alloc=2555436, time=6.66 +bytes used=82127348, alloc=2555436, time=6.74 +bytes used=83127668, alloc=2555436, time=6.82 +bytes used=84127860, alloc=2555436, time=6.98 +bytes used=85128120, alloc=2555436, time=7.13 +bytes used=86128376, alloc=2555436, time=7.20 +bytes used=87128612, alloc=2555436, time=7.29 +bytes used=88128872, alloc=2555436, time=7.41 +bytes used=89129112, alloc=2555436, time=7.51 +bytes used=90129644, alloc=2555436, time=7.60 +bytes used=91129824, alloc=2555436, time=7.80 +bytes used=92130096, alloc=2555436, time=7.86 +bytes used=93130352, alloc=2555436, time=7.96 +bytes used=94130508, alloc=2555436, time=8.08 +bytes used=95130724, alloc=2555436, time=8.17 +bytes used=96131376, alloc=2555436, time=8.40 +bytes used=97131704, alloc=2555436, time=8.50 +bytes used=98131856, alloc=2555436, time=8.66 +> +# d/dx +> simplify( diff(interp_2d_cube_order3,x) ); +bytes used=99132144, alloc=2555436, time=8.75 +bytes used=100132636, alloc=2555436, time=8.82 +bytes used=101133884, alloc=2555436, time=8.88 +bytes used=102134044, alloc=2555436, time=8.95 +bytes used=103134236, alloc=2555436, time=9.02 + 3 3 3 +- 1/144 y DATA(-2, 3) - 8/9 y DATA(1, 1) + 8/9 y DATA(1, 0) + + 3 3 3 + + 1/144 y DATA(2, 3) - 1/18 y DATA(1, 3) - 7/18 y DATA(-1, 2) + + 3 3 3 + + 7/18 y DATA(1, 2) + 7/144 y DATA(2, -1) + 1/9 y DATA(2, 1) + + 3 3 3 + - 8/9 y DATA(-1, 0) + 1/18 y DATA(-1, 3) - 1/18 y DATA(-1, -2) + + 3 3 3 + + 1/144 y DATA(-2, -2) - 7/144 y DATA(-2, -1) - 1/9 y DATA(-2, 1) + + 3 3 3 + + 7/144 y DATA(-2, 2) + 1/9 y DATA(-2, 0) - 5/18 x y DATA(1, 3) + + 3 3 35 3 + - 40/9 x y DATA(1, 1) - 7/36 x y DATA(-2, 2) + -- x y DATA(-1, 2) + 24 + + 35 3 3 3 + + -- x y DATA(1, 2) - 5/24 x y DATA(-1, 3) + 5/18 x y DATA(1, -2) + 18 + + 3 3 3 + + 2/9 x y DATA(3, 0) + 1/72 x y DATA(3, -2) + 40/9 x y DATA(1, 0) + + 3 3 2 + + 1/12 x y DATA(2, 3) + 5/24 x y DATA(-1, -2) - 4 x DATA(1, 0) + + 2 + - 14/3 x DATA(0, 0) + 4 x DATA(0, 0) + 1/6 x DATA(3, 0) + + - 1/3 x DATA(-2, 0) + 5/2 x DATA(-1, 0) + 10/3 x DATA(1, 0) - x DATA(2, 0) + + 3 3 3 + - 1/9 y DATA(2, 0) + 7/18 y DATA(-1, -1) + 8/9 y DATA(-1, 1) + + 3 3 3 + - 7/18 y DATA(1, -1) - 1/144 y DATA(2, -2) + 1/18 y DATA(1, -2) + + 2 2 3 + + 1/144 y DATA(-2, 3) - 1/144 y DATA(2, 3) - 7/144 y DATA(2, 2) + + 2 2 2 + + 7/4 x DATA(2, 0) - 1/4 x DATA(3, 0) + 1/4 x DATA(-2, 0) + + 2 2 2 + - 7/4 x DATA(-1, 0) + 1/72 y DATA(2, -2) - 1/9 y DATA(1, -2) + + 2 2 2 + + 1/9 y DATA(-1, -2) - 1/72 y DATA(-2, -2) + 5/48 y DATA(-2, -1) + + 2 2 2 + + 5/36 y DATA(-2, 1) - 1/24 y DATA(-2, 2) - 14/9 y DATA(1, 0) + + 2 2 2 + + 1/18 y DATA(1, 3) - 1/18 y DATA(-1, 3) - 5/48 y DATA(2, -1) + + 2 2 2 + - 5/36 y DATA(2, 1) + 14/9 y DATA(-1, 0) + 7/36 y DATA(2, 0) + + 2 2 + - 5/6 y DATA(-1, -1) + 1/3 y DATA(-1, 2) + 1/144 y DATA(-2, -2) + + - 1/18 y DATA(-2, -1) + 1/18 y DATA(-2, 1) - 1/144 y DATA(-2, 2) + + 2 2 2 + + 10/9 y DATA(1, 1) - 10/9 y DATA(-1, 1) + 5/6 y DATA(1, -1) + + 2 2 2 + + 1/24 y DATA(2, 2) - 7/36 y DATA(-2, 0) - 1/3 y DATA(1, 2) + + 2 + - 5/12 x y DATA(-2, -1) + 1/18 y DATA(-1, 2) - 4/9 y DATA(1, -1) + + + 4/9 y DATA(1, 1) - 1/18 y DATA(1, 2) + 4/9 y DATA(-1, -1) + + + 1/18 y DATA(1, -2) - 1/144 y DATA(2, -2) - 1/18 y DATA(2, 1) + + + 1/144 y DATA(2, 2) + 1/18 y DATA(2, -1) - 1/18 y DATA(-1, -2) + + 2 3 + - 4/9 y DATA(-1, 1) + 1/48 x y DATA(3, 3) + 2/3 DATA(1, 0) + + 2 3 2 3 2 3 + + 16/3 x y DATA(0, 0) - 7/48 x y DATA(2, 3) + 7/3 x y DATA(0, 2) + + 2 3 2 3 2 + - 1/3 x y DATA(0, 3) + 1/3 x y DATA(0, -2) - 7/18 x y DATA(3, 0) + + 2 3 2 3 2 3 + + 1/48 x y DATA(-2, -2) - 1/3 x y DATA(-2, 1) + 7/48 x y DATA(2, -2) + + 2 3 2 3 49 2 3 + + 7/3 x y DATA(-1, 1) + 7/3 x y DATA(1, -1) + -- x y DATA(2, 2) + 48 + + 2 3 2 3 49 2 3 + - 7/48 x y DATA(3, 2) + 7/48 x y DATA(3, -1) - -- x y DATA(2, -1) + 48 + + 2 3 2 3 2 3 + - 7/3 x y DATA(2, 1) - 7/3 x y DATA(-1, 0) + 7/3 x y DATA(2, 0) + + 49 2 3 2 3 49 2 3 + + -- x y DATA(-1, -1) - 7/48 x y DATA(-2, -1) - -- x y DATA(-1, 2) + 48 48 + + 2 2 2 2 2 + + 7/12 x y DATA(3, 0) + 1/24 x y DATA(3, -2) - 8/3 x y DATA(1, 1) + + 2 2 2 3 2 3 + + 28/3 x y DATA(1, 0) - 7/3 x y DATA(0, -1) - 16/3 x y DATA(0, 1) + + 2 3 2 2 + + 1/3 x y DATA(3, 1) - 1/12 x y DATA(3, 2) + 5/24 x y DATA(3, -1) + + 2 2 2 + - 5/4 x y DATA(2, -1) - 5/3 x y DATA(2, 1) - 35/6 x y DATA(-1, 0) + + 2 2 + + 7/3 x y DATA(2, 0) + 1/12 DATA(-2, 0) + 25/8 x y DATA(-1, -1) + + 2 3 2 2 + - 1/48 x y DATA(3, -2) + 25/6 x y DATA(-1, 1) + 25/6 x y DATA(1, -1) + + 2 2 2 + + 1/2 x y DATA(2, 2) + 98/9 x y DATA(0, 0) + 7/3 x y DATA(0, 2) + + 2 2 2 + - 7/18 x y DATA(0, 3) + 7/9 x y DATA(0, -2) + 1/72 x y DATA(3, 3) + + 2 2 2 + - 35/6 x y DATA(0, -1) - 70/9 x y DATA(0, 1) + 5/18 x y DATA(3, 1) + + 2 2 2 + + 1/6 x y DATA(-2, 2) - 5/4 x y DATA(-1, 2) - 5/3 x y DATA(1, 2) + + 2 2 2 + + 7/9 x y DATA(-2, 0) - 1/36 x y DATA(-2, 3) - 5/9 x y DATA(1, -2) + + 2 2 2 + - 5/12 x y DATA(-1, -2) + 1/18 x y DATA(-2, -2) - 5/9 x y DATA(-2, 1) + + 2 2 2 2 + + 1/6 x y DATA(2, -2) + 5/12 x y DATA(-2, 1) - 1/36 x y DATA(3, -2) + + 2 2 2 + - 70/9 x y DATA(1, 0) - 1/12 x y DATA(2, 3) + 5/18 x y DATA(1, 3) + + 2 2 2 2 + + 5/24 x y DATA(-1, 3) + 50/9 x y DATA(1, 1) + 1/48 x y DATA(-2, 3) + + 2 2 2 2 + + 2/3 x y DATA(1, -2) + 7/24 x y DATA(-1, -2) + + 2 2 2 2 2 2 + - 1/24 x y DATA(-2, -2) + 2 x y DATA(1, 2) - 7/12 x y DATA(-2, 0) + + 2 2 2 2 3 + + 5 x y DATA(0, -1) + 20/3 x y DATA(0, 1) - 10/3 x y DATA(-1, 1) + + 2 2 2 2 2 2 + + 7/48 x y DATA(2, 3) - 1/3 x y DATA(1, 3) - 7/48 x y DATA(-1, 3) + + 2 3 3 2 3 + + 1/3 x y DATA(1, 3) + 4/9 x y DATA(-2, 1) + 16/3 x y DATA(1, 1) + + 3 + - 2/3 DATA(-1, 0) - 1/12 DATA(2, 0) - 1/72 x y DATA(3, 3) + + 3 2 2 2 2 + - 2/9 x y DATA(3, 1) - 20/3 x y DATA(1, 1) - 1/8 x y DATA(-2, 2) + + 2 2 + + 7/8 x y DATA(-1, 2) + 1/72 x y DATA(3, -2) - 1/9 x y DATA(3, -1) + + + 1/9 x y DATA(3, 1) - 1/72 x y DATA(3, 2) - 1/12 x y DATA(2, -2) + + 49 3 + + 5/18 x y DATA(1, -2) + 5/24 x y DATA(-1, -2) + -- x y DATA(0, -1) + 18 + + 2 2 35 2 2 2 2 + - 7/24 x y DATA(2, -2) - -- x y DATA(-1, 1) - 5 x y DATA(1, -1) + 12 + + 2 2 2 2 2 2 + - 7/8 x y DATA(2, 2) - 28/3 x y DATA(0, 0) - 2 x y DATA(0, 2) + + 2 2 2 2 2 2 + + 1/3 x y DATA(0, 3) - 2/3 x y DATA(0, -2) - 1/48 x y DATA(3, 3) + + 2 2 2 2 2 2 + - 5/12 x y DATA(3, 1) + 1/8 x y DATA(3, 2) - 5/16 x y DATA(3, -1) + + 35 2 2 35 2 2 3 + + -- x y DATA(2, -1) + -- x y DATA(2, 1) + 7/18 x y DATA(0, 3) + 16 12 + + 49 2 2 49 2 2 35 2 2 + + -- x y DATA(-1, 0) - -- x y DATA(2, 0) - -- x y DATA(-1, -1) + 12 12 16 + + 2 2 + + 5/16 x y DATA(-2, -1) + 20/9 x y DATA(1, 1) - 28/9 x y DATA(0, 1) + + 2 2 2 + - 1/6 x y DATA(3, 1) + 1/48 x y DATA(3, 2) + 7/48 x y DATA(2, -2) + + + 28/9 x y DATA(0, -1) + 7/18 x y DATA(0, 2) + 1/12 x y DATA(2, 2) + + 2 2 2 + + 8/3 x y DATA(0, 1) - 1/48 x y DATA(3, -2) + 1/6 x y DATA(3, -1) + + - 7/18 x y DATA(0, -2) - 5/24 x y DATA(-1, 2) - 5/18 x y DATA(1, 2) + + + 2/3 x y DATA(2, -1) - 2/3 x y DATA(2, 1) - 5/3 x y DATA(-1, -1) + + 2 3 + + 5/3 x y DATA(-1, 1) - 20/9 x y DATA(1, -1) - 1/3 x y DATA(1, -2) + + 3 + - 2/9 x y DATA(-2, 1) - 7/72 x y DATA(3, -1) + 1/36 x y DATA(-2, 2) + + 3 2 2 + + 4/3 x y DATA(2, 1) + 7/6 x y DATA(-1, -1) - 7/6 x y DATA(-1, 1) + + 2 2 2 + + 8/3 x y DATA(1, -1) - 8/3 x y DATA(0, -1) - 1/3 x y DATA(0, 2) + + 35 3 + - 1/36 x y DATA(-2, -2) + 2/9 x y DATA(-2, -1) - -- x y DATA(-1, -1) + 24 + + 2 2 2 + + 1/48 x y DATA(-2, -2) - 1/6 x y DATA(-2, -1) + 1/6 x y DATA(-2, 1) + + 2 2 2 + - 1/48 x y DATA(-2, 2) + 1/3 x y DATA(0, -2) + 7/48 x y DATA(-1, 2) + + 2 2 2 + + 1/3 x y DATA(1, 2) - 7/6 x y DATA(2, -1) + 7/6 x y DATA(2, 1) + + 3 3 3 + - 7/18 x y DATA(0, -2) + 7/72 x y DATA(3, 2) - 4/3 x y DATA(2, 0) + + 2 2 2 + - 7/48 x y DATA(2, 2) - 1/3 x y DATA(1, -2) - 7/48 x y DATA(-1, -2) + + 3 49 3 3 + - 56/9 x y DATA(0, 0) - -- x y DATA(0, 2) + 7/36 x y DATA(-2, -1) + 18 + + 2 3 3 2 3 + + 1/3 x y DATA(-2, 0) - 1/36 x y DATA(-2, -2) - 7/48 x y DATA(-1, -2) + + 2 3 2 3 3 + - 16/3 x y DATA(1, 0) - 1/3 x y DATA(3, 0) + 10/3 x y DATA(-1, 0) + + 2 3 3 2 3 + + 7/48 x y DATA(-2, 2) - 7/12 x y DATA(2, 2) - 7/3 x y DATA(1, 2) + + 2 3 3 35 3 + + 7/48 x y DATA(-1, 3) - 1/12 x y DATA(2, -2) - -- x y DATA(1, -1) + 18 + + 3 3 2 3 + + 7/12 x y DATA(2, -1) + 56/9 x y DATA(0, 1) - 1/48 x y DATA(-2, 3) + + 3 3 + - 4/9 x y DATA(-2, 0) + 1/36 x y DATA(-2, 3) + +> coeff_as_lc_of_data(%, posn_list_2d_size6); +bytes used=104148576, alloc=2555436, time=9.09 +bytes used=105148880, alloc=2555436, time=9.16 + 2 3 2 2 2 2 3 +[COEFF(-2, -2) = - 1/72 y + 1/144 y + 1/48 x y - 1/24 x y + 1/48 x y + + 2 3 2 2 + - 1/36 x y + 1/144 y + 1/18 x y - 1/36 x y , COEFF(-1, -2) = 7/24 x y + + 3 2 3 2 2 + + 5/24 x y - 1/18 y + 1/9 y - 1/18 y + 5/24 x y - 5/12 x y - 7/48 x y + + 2 3 + - 7/48 x y , COEFF(0, -2) = + + 2 2 3 2 2 3 2 + - 2/3 x y - 7/18 x y + 7/9 x y - 7/18 x y + 1/3 x y + 1/3 x y, + + 2 3 2 2 2 3 + COEFF(1, -2) = - 1/3 x y + 5/18 x y + 2/3 x y - 1/3 x y + 1/18 y + + 2 3 2 + - 1/9 y + 1/18 y + 5/18 x y - 5/9 x y , COEFF(2, -2) = - 1/144 y + + 2 3 3 2 2 2 + + 1/6 x y - 1/12 x y - 1/144 y - 7/24 x y + 1/72 y - 1/12 x y + + 2 3 2 + + 7/48 x y + 7/48 x y, COEFF(3, -2) = + + 2 3 3 2 2 2 2 + - 1/48 x y + 1/72 x y + 1/72 x y + 1/24 x y - 1/36 x y - 1/48 x y, + + 2 3 3 2 2 2 + COEFF(-2, -1) = - 1/6 x y + 7/36 x y - 7/144 y - 5/12 x y + 5/16 x y + + 2 2 3 35 2 2 + + 5/48 y + 2/9 x y - 1/18 y - 7/48 x y , COEFF(-1, -1) = - -- x y + 16 + + 2 35 3 2 2 3 + - 5/3 x y + 25/8 x y - -- x y - 5/6 y + 7/6 x y + 4/9 y + 7/18 y + 24 + + 49 2 3 + + -- x y , COEFF(0, -1) = + 48 + + 2 2 3 2 2 2 49 3 + - 8/3 x y + 28/9 x y - 7/3 x y + 5 x y - 35/6 x y + -- x y , + 18 + + 35 3 2 2 2 + COEFF(1, -1) = - 20/9 x y - -- x y - 5 x y + 25/6 x y - 4/9 y + 18 + + 2 3 2 3 2 35 2 2 + + 7/3 x y + 8/3 x y - 7/18 y + 5/6 y , COEFF(2, -1) = -- x y + 16 + + 2 3 3 2 2 49 2 3 + - 7/6 x y + 7/144 y + 7/12 x y - 5/48 y - 5/4 x y + 1/18 y - -- x y + 48 + + + 2/3 x y, COEFF(3, -1) = + + 2 3 2 2 2 2 3 + 5/24 x y - 7/72 x y + 1/6 x y - 5/16 x y + 7/48 x y - 1/9 x y, + + 2 2 2 3 2 2 + COEFF(-2, 0) = 1/12 + 7/9 x y - 7/12 x y + 1/9 y + 1/4 x - 7/36 y + + 2 3 3 2 2 + - 1/3 x + 1/3 x y - 4/9 x y , COEFF(-1, 0) = - 7/4 x - 2/3 + 14/9 y + + 2 3 3 2 3 49 2 2 + - 7/3 x y + 10/3 x y - 35/6 x y - 8/9 y + -- x y + 5/2 x, + 12 + + COEFF(0, 0) = + + 2 3 2 3 2 2 2 + 98/9 x y - 56/9 x y - 14/3 x + 16/3 x y - 28/3 x y + 4 x , + + 2 3 2 2 2 2 3 + COEFF(1, 0) = -4 x + 10/3 x + 8/9 y + 28/3 x y - 70/9 x y - 16/3 x y + + 3 2 2 3 49 2 2 + + 40/9 x y - 14/9 y + 2/3, COEFF(2, 0) = 7/3 x y - -- x y - 1/12 + 12 + + 3 2 2 3 2 + - 4/3 x y + 7/3 x y + 7/36 y - x - 1/9 y + 7/4 x , COEFF(3, 0) = + + 2 2 2 3 2 3 2 + 7/12 x y - 7/18 x y + 2/9 x y + 1/6 x - 1/3 x y - 1/4 x , + + 3 2 2 3 + COEFF(-2, 1) = - 1/9 y + 1/18 y + 5/12 x y - 2/9 x y + 4/9 x y + + 2 2 2 3 2 + + 1/6 x y - 5/9 x y - 1/3 x y + 5/36 y , COEFF(-1, 1) = 5/3 x y + + 2 3 2 2 35 2 2 3 + + 7/3 x y - 10/9 y - 7/6 x y - -- x y - 10/3 x y - 4/9 y + 12 + + 2 3 + + 25/6 x y + 8/9 y , COEFF(0, 1) = + + 2 2 3 3 2 2 2 + 8/3 x y - 16/3 x y + 56/9 x y + 20/3 x y - 28/9 x y - 70/9 x y , + + 2 2 3 2 2 2 + COEFF(1, 1) = 10/9 y - 8/3 x y - 8/9 y - 20/3 x y + 4/9 y + 50/9 x y + + 2 3 3 2 3 + + 20/9 x y + 16/3 x y - 40/9 x y , COEFF(2, 1) = 7/6 x y + 4/3 x y + + 35 2 2 2 2 2 3 3 + - 1/18 y - 2/3 x y + -- x y - 5/36 y - 5/3 x y - 7/3 x y + 1/9 y , + 12 + + COEFF(3, 1) = + + 3 2 2 3 2 2 2 + - 2/9 x y - 1/6 x y + 1/9 x y + 1/3 x y + 5/18 x y - 5/12 x y , + + 2 2 2 2 + COEFF(-2, 2) = - 1/8 x y + 1/36 x y + 1/6 x y - 1/144 y - 1/24 y + + 2 3 3 2 3 49 2 3 + + 7/48 x y - 7/36 x y - 1/48 x y + 7/144 y , COEFF(-1, 2) = - -- x y + 48 + + 35 3 2 2 2 2 3 + + -- x y + 7/8 x y + 1/18 y + 1/3 y - 5/24 x y - 5/4 x y - 7/18 y + 24 + + 2 + + 7/48 x y, COEFF(0, 2) = + + 2 2 49 3 2 3 2 2 + 7/3 x y - 1/3 x y - -- x y + 7/3 x y - 2 x y + 7/18 x y, COEFF(1, 2) + 18 + + 2 2 35 3 2 3 2 2 + = - 1/18 y + 2 x y - 5/18 x y + -- x y - 7/3 x y - 1/3 y + 1/3 x y + 18 + + 2 3 49 2 3 2 2 + - 5/3 x y + 7/18 y , COEFF(2, 2) = 1/144 y + -- x y - 7/8 x y + 48 + + 2 3 2 3 2 + + 1/24 y - 7/12 x y + 1/12 x y - 7/48 x y - 7/144 y + 1/2 x y , + + COEFF(3, 2) = + + 3 2 2 2 3 2 2 + 7/72 x y + 1/8 x y - 7/48 x y - 1/72 x y + 1/48 x y - 1/12 x y , + + COEFF(-2, 3) = + + 2 3 2 2 2 3 2 3 + - 1/48 x y + 1/144 y + 1/48 x y - 1/144 y - 1/36 x y + 1/36 x y , + + COEFF(-1, 3) = + + 2 2 2 3 3 2 2 3 + - 7/48 x y + 5/24 x y - 5/24 x y + 1/18 y - 1/18 y + 7/48 x y , + + 3 2 2 3 2 2 + COEFF(0, 3) = 7/18 x y - 7/18 x y - 1/3 x y + 1/3 x y , COEFF(1, 3) = + + 3 2 2 2 3 2 3 2 + - 5/18 x y - 1/3 x y + 1/18 y - 1/18 y + 1/3 x y + 5/18 x y , + + COEFF(2, 3) = + + 3 3 2 3 2 2 2 2 + 1/144 y + 1/12 x y - 7/48 x y - 1/12 x y + 7/48 x y - 1/144 y , + + 3 2 3 2 2 2 + COEFF(3, 3) = - 1/72 x y + 1/48 x y - 1/48 x y + 1/72 x y ] + +> print_coeff__lc_of_data(%, "coeff_dx_", "fp", +> "2d.coeffs/2d.cube.order3/coeff-dx.compute.c"); +bytes used=106149084, alloc=2817532, time=9.23 +bytes used=107149356, alloc=2817532, time=9.30 +bytes used=108149508, alloc=2817532, time=9.38 +bytes used=109150000, alloc=2817532, time=9.44 +bytes used=110150256, alloc=2817532, time=9.49 +bytes used=111150420, alloc=2817532, time=9.58 +bytes used=112150672, alloc=2817532, time=9.65 +bytes used=113151304, alloc=2817532, time=9.72 +bytes used=114151984, alloc=2817532, time=9.79 +bytes used=115152436, alloc=2817532, time=9.97 +bytes used=116153808, alloc=2817532, time=10.07 +bytes used=117153960, alloc=2817532, time=10.13 +bytes used=118154120, alloc=2817532, time=10.20 +bytes used=119154300, alloc=2817532, time=10.31 +bytes used=120154500, alloc=2817532, time=10.40 +bytes used=121154868, alloc=2817532, time=10.50 +bytes used=122156604, alloc=2817532, time=10.62 +bytes used=123156772, alloc=2817532, time=10.71 +bytes used=124157332, alloc=2817532, time=10.78 +bytes used=125157496, alloc=2817532, time=11.03 +bytes used=126157692, alloc=2817532, time=11.10 +bytes used=127157880, alloc=2817532, time=11.19 +bytes used=128158048, alloc=2817532, time=11.31 +bytes used=129158460, alloc=2817532, time=11.43 +bytes used=130158672, alloc=2817532, time=11.68 +bytes used=131158880, alloc=2817532, time=11.79 +> +# d/dy +> simplify( diff(interp_2d_cube_order3,y) ); +bytes used=132176896, alloc=2817532, time=11.89 +bytes used=133177604, alloc=2817532, time=11.95 +bytes used=134177972, alloc=2817532, time=12.02 + 2 3 2 +- 7/48 x y DATA(-2, -1) + 2/3 DATA(0, 1) + 1/3 x y DATA(-2, 0) + + 49 3 2 3 2 49 3 2 + - -- x y DATA(-1, 2) - 7/3 x y DATA(1, 2) - -- x y DATA(2, -1) + 48 48 + + 3 2 3 2 49 3 2 + - 7/3 x y DATA(2, 1) - 7/3 x y DATA(-1, 0) + -- x y DATA(-1, -1) + 48 + + 3 2 3 2 3 2 + + 7/3 x y DATA(-1, 1) + 7/3 x y DATA(1, -1) - 1/48 x y DATA(3, -2) + + 3 2 3 2 + + 7/48 x y DATA(3, -1) + 1/3 x y DATA(3, 1) + 1/144 x DATA(2, 2) + + 2 2 2 2 + + 10/9 x DATA(1, 1) - 14/9 x DATA(0, 1) + 1/3 x y DATA(3, 0) + + 2 2 2 2 2 + + 1/48 x y DATA(3, -2) + 50/9 x y DATA(1, 1) + 20/3 x y DATA(1, 0) + + - 7/18 x y DATA(-2, 0) + 28/9 x y DATA(-1, 0) + 7/18 x y DATA(2, 0) + + 2 2 + + 7/9 x y DATA(-2, 0) + 7/48 x y DATA(2, -1) - 1/144 x DATA(2, -2) + + 2 2 + + 1/3 x y DATA(2, 1) - 8/3 x y DATA(-1, 0) + 1/18 x DATA(2, -1) + + 2 2 + - 1/3 x y DATA(2, 0) + 1/12 DATA(0, -2) + 7/6 x y DATA(-1, -1) + + 2 2 3 + + 8/3 x y DATA(-1, 1) - 7/6 x y DATA(1, -1) + 7/18 x DATA(2, 1) + + 3 3 3 + - 7/18 x DATA(-1, 1) + 8/9 x DATA(1, -1) - 8/9 x DATA(0, -1) + + 3 3 2 + - 1/9 x DATA(0, 2) - 7/144 x DATA(2, 2) - 7/36 x DATA(0, -2) + + 2 2 2 + - 5/48 x DATA(-1, 2) - 5/36 x DATA(1, 2) + 1/3 x DATA(2, -1) + + 2 2 2 + - 1/3 x DATA(2, 1) - 5/6 x DATA(-1, -1) + 5/6 x DATA(-1, 1) + + 2 2 2 + - 10/9 x DATA(1, -1) + 14/9 x DATA(0, -1) + 7/36 x DATA(0, 2) + + 2 3 3 + + 1/24 x DATA(2, 2) - 8/9 x DATA(1, 1) + 8/9 x DATA(0, 1) + + 3 3 3 + - 1/144 x DATA(3, -2) + 1/18 x DATA(3, -1) - 1/18 x DATA(3, 1) + + 3 3 3 + + 1/144 x DATA(3, 2) + 7/144 x DATA(2, -2) - 1/9 x DATA(1, -2) + + 3 3 2 + - 7/144 x DATA(-1, -2) + 7/18 x DATA(-1, -1) - 7/48 x y DATA(2, 2) + + 35 3 49 3 35 3 + + -- y x DATA(2, 1) + -- y x DATA(-1, 0) - -- y x DATA(-1, -1) + 18 18 24 + + 35 3 2 3 + - -- y x DATA(-1, 1) + 1/72 x y DATA(3, 3) - 4/3 y x DATA(0, 2) + 18 + + 3 3 3 + - 56/9 y x DATA(0, 0) + 2/9 y x DATA(0, 3) - 40/9 y x DATA(1, 1) + + 3 3 3 + + 56/9 y x DATA(1, 0) + 7/72 y x DATA(2, 3) - 2/9 y x DATA(1, 3) + + 3 3 3 + - 7/72 y x DATA(-1, 3) + 1/72 y x DATA(-2, 3) - 7/36 y x DATA(2, -2) + + 3 3 3 + + 4/9 y x DATA(1, -2) + 7/36 y x DATA(-1, -2) - 1/36 y x DATA(-2, -2) + + 3 3 3 + + 5/24 y x DATA(-2, -1) + 5/18 y x DATA(-2, 1) - 1/12 y x DATA(-2, 2) + + 3 3 3 + - 7/18 y x DATA(-2, 0) + 7/12 y x DATA(-1, 2) + 4/3 y x DATA(1, 2) + + 35 3 2 2 + + -- y x DATA(2, -1) + 1/144 x DATA(3, -2) - 1/18 x DATA(3, -1) + 24 + + 2 2 2 + + 1/18 x DATA(3, 1) - 1/144 x DATA(3, 2) - 1/24 x DATA(2, -2) + + 2 2 2 + + 5/36 x DATA(1, -2) + 5/48 x DATA(-1, -2) - 1/72 x DATA(-2, -2) + + 2 2 2 + + 1/9 x DATA(-2, -1) - 1/9 x DATA(-2, 1) + 1/72 x DATA(-2, 2) + + + 1/144 x DATA(-2, -2) - 1/18 x DATA(-2, -1) + 1/18 x DATA(-2, 1) + + - 1/144 x DATA(-2, 2) - 1/18 x DATA(-1, -2) + 4/9 x DATA(-1, -1) + + - 4/9 x DATA(-1, 1) + 1/18 x DATA(-1, 2) + 1/18 x DATA(1, -2) + + - 4/9 x DATA(1, -1) + 4/9 x DATA(1, 1) - 1/18 x DATA(1, 2) + + 3 3 3 + - 1/144 x DATA(-2, 2) + 1/9 x DATA(0, -2) + 7/144 x DATA(-1, 2) + + 3 3 2 + + 1/9 x DATA(1, 2) - 7/18 x DATA(2, -1) - 1/36 x y DATA(-2, 3) + + 3 3 3 + - 10/3 y x DATA(1, -1) + 1/36 y x DATA(3, -2) - 5/24 y x DATA(3, -1) + + 3 49 3 3 + - 5/18 y x DATA(3, 1) - -- y x DATA(2, 0) - 7/12 y x DATA(2, 2) + 18 + + 3 3 3 + + 1/12 y x DATA(3, 2) + 7/18 y x DATA(3, 0) - 1/72 y x DATA(3, 3) + + 3 2 3 + - 4/9 y x DATA(0, -2) - 7/18 x y DATA(3, 0) + 10/3 y x DATA(0, -1) + + 3 2 2 + + 40/9 y x DATA(0, 1) - 35/6 x y DATA(-1, 0) + 7/3 x y DATA(2, 0) + + 2 2 2 + + 98/9 x y DATA(0, 0) - 7/18 x y DATA(0, 3) - 70/9 x y DATA(1, 0) + + 2 2 2 + - 1/12 x y DATA(2, 3) + 5/18 x y DATA(1, 3) + 5/24 x y DATA(-1, 3) + + 2 2 2 + + 7/48 x y DATA(-2, 2) - 7/6 x y DATA(-1, 2) + 7/6 x y DATA(1, 2) + + 2 2 2 + + 1/3 x y DATA(-2, 0) - 1/48 x y DATA(-2, 3) + 1/6 x y DATA(1, -2) + + 3 2 3 2 3 2 + - 1/48 x y DATA(-2, 3) + 7/48 x y DATA(2, -2) - 1/3 x y DATA(1, -2) + + 3 2 3 2 + - 7/48 x y DATA(-1, -2) + 1/48 x y DATA(-2, -2) + + 3 2 3 2 3 2 + - 7/48 x y DATA(-2, -1) - 1/3 x y DATA(-2, 1) + 7/48 x y DATA(-2, 2) + + 2 2 3 2 + - 1/6 x y DATA(-1, -2) + 1/48 x y DATA(-2, -2) + 1/3 x y DATA(0, -2) + + 3 2 3 2 3 2 + - 7/3 x y DATA(0, -1) - 16/3 x y DATA(0, 1) + 7/3 x y DATA(0, 2) + + 3 2 3 2 3 2 + + 16/3 x y DATA(0, 0) - 1/3 x y DATA(0, 3) + 16/3 x y DATA(1, 1) + + 3 2 3 2 3 2 + - 16/3 x y DATA(1, 0) - 7/48 x y DATA(2, 3) + 1/3 x y DATA(1, 3) + + 3 2 2 2 + + 7/48 x y DATA(-1, 3) + 1/4 y DATA(0, -2) - 1/3 x y DATA(-2, 1) + + 2 3 3 + - 1/48 x y DATA(2, -2) + 1/144 x DATA(-2, -2) + 1/18 x DATA(-2, 1) + + 3 2 2 + - 1/18 x DATA(-2, -1) + 4 y DATA(0, 0) + 7/4 y DATA(0, 2) + + - 1/3 y DATA(0, -2) + 5/2 y DATA(0, -1) + 10/3 y DATA(0, 1) - y DATA(0, 2) + + 2 + - 14/3 y DATA(0, 0) + 1/6 y DATA(0, 3) - 1/4 y DATA(0, 3) + + 2 2 2 2 + - 7/4 y DATA(0, -1) - 4 y DATA(0, 1) + 2/3 x y DATA(-2, 1) + + 2 2 2 + + 8/3 x y DATA(1, 0) + 1/48 x y DATA(2, 3) - 1/6 x y DATA(1, 3) + + 2 2 2 2 + + 1/6 x y DATA(-1, 3) - 8/3 x y DATA(1, 1) + 1/24 x y DATA(-2, 3) + + 2 2 2 2 + + 5/12 x y DATA(1, -2) + 5/16 x y DATA(-1, -2) + + 2 2 35 2 2 2 2 + - 1/24 x y DATA(-2, -2) + -- x y DATA(1, 2) - 2/3 x y DATA(-2, 0) + 12 + + 49 2 2 2 2 2 2 + + -- x y DATA(0, -1) + 28/3 x y DATA(0, 1) + 1/8 x y DATA(2, 3) + 12 + + 2 2 2 2 + - 5/12 x y DATA(1, 3) - 5/16 x y DATA(-1, 3) - 2/3 DATA(0, -1) + + 2 2 2 2 + - 1/12 DATA(0, 2) - 20/3 x y DATA(1, 1) - 7/24 x y DATA(-2, 2) + + 35 2 2 + + -- x y DATA(-1, 2) + 1/36 x y DATA(2, -2) - 2/9 x y DATA(1, -2) + 16 + + 2 2 2 2 + + 2/9 x y DATA(-1, -2) - 1/8 x y DATA(2, -2) - 5 x y DATA(-1, 1) + + 35 2 2 2 2 2 2 + - -- x y DATA(1, -1) - 7/8 x y DATA(2, 2) - 28/3 x y DATA(0, 0) + 12 + + 49 2 2 2 2 2 2 + - -- x y DATA(0, 2) + 7/12 x y DATA(0, 3) - 7/12 x y DATA(0, -2) + 12 + + 2 2 2 2 2 2 + - 1/48 x y DATA(3, 3) - 1/3 x y DATA(3, 1) + 7/48 x y DATA(3, 2) + + 2 2 2 2 2 2 + - 7/48 x y DATA(3, -1) + 7/8 x y DATA(2, -1) + 2 x y DATA(2, 1) + + 2 2 2 2 35 2 2 + + 5 x y DATA(-1, 0) - 2 x y DATA(2, 0) - -- x y DATA(-1, -1) + 16 + + 2 2 2 + + 7/24 x y DATA(-2, -1) + 20/9 x y DATA(1, 1) + 5/18 x y DATA(3, 1) + + 2 2 + - 1/12 x y DATA(3, 2) + 1/6 x y DATA(2, -2) + 1/12 x y DATA(2, 2) + + 2 2 2 + - 70/9 x y DATA(0, 1) - 1/36 x y DATA(3, -2) + 5/24 x y DATA(3, -1) + + + 2/3 x y DATA(-1, 2) - 2/3 x y DATA(1, 2) - 5/24 x y DATA(2, -1) + + - 5/18 x y DATA(2, 1) - 5/3 x y DATA(-1, -1) - 20/9 x y DATA(-1, 1) + + + 5/3 x y DATA(1, -1) + 5/18 x y DATA(-2, 1) - 1/12 x y DATA(-2, 2) + + 2 2 2 + + 25/8 x y DATA(-1, -1) + 25/6 x y DATA(-1, 1) + 25/6 x y DATA(1, -1) + + 2 2 + - 35/6 x y DATA(0, -1) + 7/3 x y DATA(0, 2) - 1/36 x y DATA(-2, -2) + + 2 2 + + 5/24 x y DATA(-2, -1) + 1/18 x y DATA(-2, -2) - 5/12 x y DATA(-2, -1) + + 2 2 2 + - 5/9 x y DATA(-2, 1) + 1/6 x y DATA(-2, 2) + 7/9 x y DATA(0, -2) + + 2 2 2 + - 5/4 x y DATA(-1, 2) - 5/3 x y DATA(1, 2) - 5/4 x y DATA(2, -1) + + 2 2 2 + - 5/3 x y DATA(2, 1) + 1/2 x y DATA(2, 2) - 5/9 x y DATA(1, -2) + + 2 3 2 3 2 + - 5/12 x y DATA(-1, -2) + 7/3 x y DATA(2, 0) - 7/48 x y DATA(3, 2) + + 3 2 3 2 + - 1/3 x y DATA(3, 0) + 1/48 x y DATA(3, 3) - 28/9 x y DATA(1, 0) + + - 1/72 x y DATA(2, 3) + 1/9 x y DATA(1, 3) - 1/9 x y DATA(-1, 3) + + 49 3 2 + + 1/72 x y DATA(-2, 3) + -- x y DATA(2, 2) - 1/18 x DATA(2, 1) + 48 + +> coeff_as_lc_of_data(%, posn_list_2d_size6); +bytes used=135178380, alloc=2817532, time=12.09 +bytes used=136185008, alloc=2817532, time=12.16 +bytes used=137186096, alloc=2817532, time=12.22 + 2 2 2 2 +[COEFF(-2, -2) = - 1/72 x - 1/24 x y - 1/36 x y + 1/144 x + 1/18 x y + + 3 3 2 2 3 + - 1/36 y x + 1/48 x y + 1/48 x y + 1/144 x , COEFF(-1, -2) = + + 2 2 3 2 2 3 2 + 5/16 x y - 1/18 x - 7/144 x - 5/12 x y + 2/9 x y + 5/48 x - 7/48 x y + + 3 2 2 2 3 2 + + 7/36 y x - 1/6 x y , COEFF(0, -2) = - 7/12 x y + 1/3 x y + 1/12 + + 3 2 2 2 3 + - 4/9 y x + 1/4 y + 7/9 x y - 7/36 x - 1/3 y + 1/9 x , COEFF(1, -2) = + + 2 2 3 2 3 3 2 + - 5/9 x y + 1/6 x y - 1/3 x y - 2/9 x y - 1/9 x + 4/9 y x + 5/36 x + + 2 2 2 2 + + 5/12 x y + 1/18 x, COEFF(2, -2) = - 1/24 x + 1/6 x y - 1/144 x + + 2 2 3 2 2 3 3 + + 1/36 x y - 1/8 x y + 7/48 x y - 1/48 x y - 7/36 y x + 7/144 x , + + COEFF(3, -2) = + + 2 2 3 2 3 2 3 2 + 1/48 x y - 1/48 x y + 1/36 y x + 1/144 x - 1/144 x - 1/36 x y, + + 2 3 3 2 2 2 + COEFF(-2, -1) = 1/9 x - 1/18 x - 7/48 x y - 5/12 x y - 7/48 x y + + 3 2 2 2 + + 5/24 y x - 1/18 x + 5/24 x y + 7/24 x y , COEFF(-1, -1) = 25/8 x y + + 35 2 2 2 3 49 3 2 2 35 3 + - -- x y + 4/9 x - 5/6 x + 7/18 x + -- x y + 7/6 x y - -- y x + 16 48 24 + + 3 3 2 + - 5/3 x y, COEFF(0, -1) = 10/3 y x - 2/3 + 5/2 y - 8/9 x - 7/4 y + + 49 2 2 2 2 3 2 3 + + -- x y + 14/9 x - 35/6 x y - 7/3 x y , COEFF(1, -1) = 8/9 x + 12 + + 2 3 2 35 2 2 2 + - 10/9 x - 10/3 y x + 5/3 x y - 7/6 x y - 4/9 x - -- x y + 25/6 x y + 12 + + 3 2 2 2 2 35 3 + + 7/3 x y , COEFF(2, -1) = 7/8 x y - 5/4 x y + -- y x - 5/24 x y + 24 + + 3 2 2 49 3 2 + - 7/18 x + 7/48 x y + 1/18 x + 1/3 x - -- x y , COEFF(3, -1) = + 48 + + 2 2 2 3 2 3 2 3 + 5/24 x y - 7/48 x y + 1/18 x - 1/18 x + 7/48 x y - 5/24 y x , + + COEFF(-2, 0) = + + 2 2 3 2 2 2 3 + - 7/18 x y - 2/3 x y + 1/3 x y + 1/3 x y + 7/9 x y - 7/18 y x , + + COEFF(-1, 0) = + + 2 2 2 3 2 49 3 2 + - 35/6 x y + 5 x y - 7/3 x y + 28/9 x y + -- y x - 8/3 x y , + 18 + + COEFF(0, 0) = + + 2 2 2 3 2 3 2 + - 28/3 x y + 98/9 x y + 16/3 x y - 56/9 y x - 14/3 y + 4 y , + + COEFF(1, 0) = + + 2 3 2 3 2 2 2 + 8/3 x y + 56/9 y x - 28/9 x y - 70/9 x y - 16/3 x y + 20/3 x y , + + COEFF(2, 0) = + + 2 49 3 3 2 2 2 2 + - 1/3 x y - -- y x + 7/3 x y - 2 x y + 7/18 x y + 7/3 x y, + 18 + + 2 2 2 3 2 3 + COEFF(3, 0) = - 7/18 x y + 1/3 x y - 1/3 x y + 7/18 y x , COEFF(-2, 1) + + 3 2 2 2 2 + = - 1/3 x y - 5/9 x y + 1/18 x - 1/3 x y - 1/9 x + 5/18 x y + + 2 2 3 3 2 2 2 + + 2/3 x y + 1/18 x + 5/18 y x , COEFF(-1, 1) = 5/6 x - 5 x y + + 35 3 2 3 2 3 2 + - -- y x + 8/3 x y + 7/3 x y - 4/9 x - 20/9 x y - 7/18 x + 25/6 x y, + 18 + + 2 3 2 2 + COEFF(0, 1) = -4 y + 10/3 y + 8/9 x - 14/9 x - 70/9 x y + 2/3 + + 3 2 2 2 3 2 + - 16/3 x y + 28/3 x y + 40/9 y x , COEFF(1, 1) = - 8/3 x y + + 2 3 3 2 3 2 + + 50/9 x y - 8/9 x + 16/3 x y - 40/9 y x + 20/9 x y + 4/9 x + 10/9 x + + 2 2 3 2 2 35 3 + - 20/3 x y , COEFF(2, 1) = - 1/18 x - 7/3 x y + 1/3 x y + -- y x + 18 + + 2 2 2 3 2 + - 1/3 x + 2 x y + 7/18 x - 5/18 x y - 5/3 x y, COEFF(3, 1) = + + 2 2 3 2 3 3 2 2 + - 1/3 x y + 1/3 x y - 1/18 x - 5/18 y x + 1/18 x + 5/18 x y, + + 2 2 2 2 2 + COEFF(-2, 2) = - 1/12 x y + 1/72 x - 7/24 x y + 1/6 x y + 7/48 x y + + 3 3 3 2 2 + - 1/144 x - 1/12 y x - 1/144 x + 7/48 x y , COEFF(-1, 2) = - 7/6 x y + + 3 2 2 35 2 2 3 + + 2/3 x y + 7/12 y x - 5/4 x y - 5/48 x + -- x y + 7/144 x + 1/18 x + 16 + + 49 3 2 3 3 3 2 2 + - -- x y , COEFF(0, 2) = - 4/3 y x - 1/9 x + 7/3 x y + 7/3 x y + 48 + + 49 2 2 2 2 3 + - 1/12 - -- x y + 7/36 x + 7/4 y - y, COEFF(1, 2) = - 2/3 x y + 1/9 x + 12 + + 2 2 3 2 35 2 2 2 3 + - 1/18 x + 7/6 x y - 5/3 x y - 7/3 x y + -- x y - 5/36 x + 4/3 y x + 12 + + 3 2 2 3 + , COEFF(2, 2) = - 7/12 y x - 7/8 x y + 1/12 x y - 7/144 x + 1/144 x + + 2 2 2 49 3 2 + + 1/2 x y + 1/24 x - 7/48 x y + -- x y , COEFF(3, 2) = + 48 + + 3 2 3 2 2 2 3 2 + - 7/48 x y + 1/144 x + 7/48 x y - 1/12 x y + 1/12 y x - 1/144 x , + + COEFF(-2, 3) = + + 3 3 2 2 2 2 2 + 1/72 y x - 1/48 x y - 1/36 x y - 1/48 x y + 1/24 x y + 1/72 x y, + + COEFF(-1, 3) = + + 3 2 2 3 2 2 2 + 7/48 x y + 1/6 x y - 7/72 y x + 5/24 x y - 5/16 x y - 1/9 x y, + + COEFF(0, 3) = + + 2 3 2 2 2 2 3 + - 7/18 x y + 1/6 y - 1/3 x y - 1/4 y + 7/12 x y + 2/9 y x , + + COEFF(1, 3) = + + 3 2 2 2 3 2 2 + 1/9 x y + 1/3 x y + 5/18 x y - 1/6 x y - 2/9 y x - 5/12 x y , + + COEFF(2, 3) = + + 3 2 3 2 2 2 2 + - 7/48 x y + 7/72 y x - 1/12 x y + 1/8 x y + 1/48 x y - 1/72 x y, + + 2 2 3 2 2 3 + COEFF(3, 3) = - 1/48 x y + 1/48 x y + 1/72 x y - 1/72 y x ] + +> print_coeff__lc_of_data(%, "coeff_dy_", "fp", +> "2d.coeffs/2d.cube.order3/coeff-dy.compute.c"); +bytes used=138186368, alloc=2817532, time=12.30 +bytes used=139186536, alloc=2817532, time=12.37 +bytes used=140186752, alloc=2817532, time=12.45 +bytes used=141205944, alloc=2817532, time=12.53 +bytes used=142208396, alloc=2817532, time=12.61 +bytes used=143208564, alloc=2817532, time=12.67 +bytes used=144208924, alloc=2817532, time=12.74 +bytes used=145209172, alloc=2817532, time=12.81 +bytes used=146209420, alloc=2817532, time=12.89 +bytes used=147209580, alloc=2817532, time=13.16 +bytes used=148209900, alloc=2817532, time=13.23 +bytes used=149210052, alloc=2817532, time=13.30 +bytes used=150210288, alloc=2817532, time=13.36 +bytes used=151210444, alloc=2817532, time=13.47 +bytes used=152210696, alloc=2817532, time=13.57 +bytes used=153215288, alloc=2817532, time=13.68 +bytes used=154220728, alloc=2817532, time=13.76 +bytes used=155220900, alloc=2817532, time=13.85 +bytes used=156221232, alloc=2817532, time=13.93 +bytes used=157221392, alloc=2817532, time=14.24 +bytes used=158221608, alloc=2817532, time=14.32 +bytes used=159221820, alloc=2817532, time=14.41 +bytes used=160222000, alloc=2817532, time=14.55 +bytes used=161222584, alloc=2817532, time=14.65 +bytes used=162222908, alloc=2817532, time=14.91 +bytes used=163223076, alloc=2817532, time=15.02 +> +# d^2/dx^2 +> simplify( diff(interp_2d_cube_order3,x,x) ); +bytes used=164225396, alloc=2817532, time=15.12 +bytes used=165225892, alloc=2817532, time=15.18 + 2 +5/8 x y DATA(-2, -1) - 14/3 DATA(0, 0) + 10/3 DATA(1, 0) + + 2 2 3 + + 35/8 x y DATA(2, -1) + 35/6 x y DATA(2, 1) + 32/3 x y DATA(1, 1) + + 3 3 3 + - 32/3 x y DATA(0, 1) - 32/3 x y DATA(1, 0) - 1/24 x y DATA(3, -2) + + 3 3 3 + + 7/24 x y DATA(3, -1) + 2/3 x y DATA(3, 1) - 7/24 x y DATA(3, 2) + + 2 2 3 + + 49/6 x y DATA(-1, 0) - 49/6 x y DATA(2, 0) - 7/18 y DATA(0, -2) + + 3 49 3 3 + - 56/9 y DATA(0, 0) - -- y DATA(0, 2) - 10/3 y DATA(-1, 1) + 18 + + 35 3 49 3 3 + - -- y DATA(1, -1) + -- y DATA(0, -1) - 7/12 y DATA(2, 2) + 18 18 + + 2 + + 1/6 DATA(3, 0) - 1/3 DATA(-2, 0) - 35/8 x y DATA(-1, -1) + + 2 2 2 + - 35/6 x y DATA(-1, 1) - 10 x y DATA(1, -1) - 7/4 x y DATA(2, 2) + + 3 3 3 + + 7/18 y DATA(0, 3) + 7/24 x y DATA(-1, 3) - 1/24 x y DATA(-2, 3) + + 3 3 3 + + 7/24 x y DATA(2, -2) - 2/3 x y DATA(1, -2) - 7/24 x y DATA(-1, -2) + + 3 3 3 + + 1/24 x y DATA(-2, -2) - 7/24 x y DATA(-2, -1) - 2/3 x y DATA(-2, 1) + + 3 3 3 + + 7/24 x y DATA(-2, 2) - 2/3 x y DATA(3, 0) - 2/3 x y DATA(0, 3) + + 3 3 3 + + 2/3 x y DATA(-2, 0) + 2/3 x y DATA(0, -2) + 32/3 x y DATA(0, 0) + + 3 3 3 + + 14/3 x y DATA(0, 2) + 14/3 x y DATA(-1, 1) + 14/3 x y DATA(1, -1) + + 3 49 3 3 + - 14/3 x y DATA(0, -1) + -- x y DATA(2, 2) + 1/24 x y DATA(3, 3) + 24 + + 2 2 2 + - 1/4 x y DATA(-2, 2) + 7/4 x y DATA(-1, 2) + 4 x y DATA(1, 2) + + 2 2 2 + - 7/6 x y DATA(-2, 0) + 1/24 x y DATA(-2, 3) + 4/3 x y DATA(1, -2) + + 2 2 2 + + 7/12 x y DATA(-1, -2) - 1/12 x y DATA(-2, -2) + 7/9 y DATA(0, -2) + + 2 2 2 + + 5/6 x y DATA(-2, 1) - 7/12 x y DATA(2, -2) + 98/9 y DATA(0, 0) + + 2 + + 7/3 y DATA(0, 2) - 7/18 y DATA(0, -2) + 28/9 y DATA(0, -1) + + 2 + - 28/9 y DATA(0, 1) + 7/18 y DATA(0, 2) - 7/18 y DATA(0, 3) + + 2 2 + - 35/6 y DATA(0, -1) - 70/9 y DATA(0, 1) - 1/12 y DATA(2, -2) + + + 5/18 y DATA(1, -2) + 5/24 y DATA(-1, -2) - 1/36 y DATA(-2, -2) + + + 2/9 y DATA(-2, -1) - 2/9 y DATA(-2, 1) + 1/36 y DATA(-2, 2) + + - 5/24 y DATA(-1, 2) - 5/18 y DATA(1, 2) + 2/3 y DATA(2, -1) + + - 2/3 y DATA(2, 1) - 5/3 y DATA(-1, -1) + 5/3 y DATA(-1, 1) + + 2 2 2 + + 7/3 y DATA(2, 0) + 25/8 y DATA(-1, -1) - 5/4 y DATA(-1, 2) + + 2 2 2 + - 1/36 y DATA(-2, 3) + 1/6 y DATA(2, -2) - 5/9 y DATA(1, -2) + + 2 2 2 + - 5/12 y DATA(-1, -2) + 1/18 y DATA(-2, -2) - 5/12 y DATA(-2, -1) + + 2 2 2 + - 5/9 y DATA(-2, 1) + 1/6 y DATA(-2, 2) - 7/18 y DATA(3, 0) + + 2 2 2 + + 7/9 y DATA(-2, 0) + 25/6 y DATA(-1, 1) + 25/6 y DATA(1, -1) + + 2 2 2 + + 56/3 x y DATA(1, 0) + 7/24 x y DATA(2, 3) - 2/3 x y DATA(1, 3) + + 3 49 3 3 + - 14/3 x y DATA(1, 2) - -- x y DATA(2, -1) - 14/3 x y DATA(2, 1) + 24 + + 3 3 49 3 + - 14/3 x y DATA(-1, 0) + 14/3 x y DATA(2, 0) + -- x y DATA(-1, -1) + 24 + + 49 3 2 2 + - -- x y DATA(-1, 2) + 40/3 x y DATA(0, 1) + 1/12 x y DATA(3, -2) + 24 + + 2 2 2 + - 5/8 x y DATA(3, -1) - 5/6 x y DATA(3, 1) + 1/4 x y DATA(3, 2) + + 2 2 2 + + 7/6 x y DATA(3, 0) + 2/3 x y DATA(0, 3) - 7/24 x y DATA(-1, 3) + + 3 35 3 2 + - 1/72 y DATA(3, 3) + -- y DATA(1, 2) + 50/9 y DATA(1, 1) + 18 + + 2 2 2 + - 70/9 y DATA(1, 0) - 1/36 y DATA(3, -2) + 5/24 y DATA(3, -1) + + 2 2 2 + + 5/18 y DATA(3, 1) - 1/12 y DATA(3, 2) - 1/12 y DATA(2, 3) + + 2 2 3 + + 5/18 y DATA(1, 3) + 5/24 y DATA(-1, 3) + 7/12 y DATA(2, -1) + + 3 3 3 + + 4/3 y DATA(2, 1) + 10/3 y DATA(-1, 0) - 4/3 y DATA(2, 0) + + 35 3 35 3 + - -- y DATA(-1, -1) + -- y DATA(-1, 2) + 20/9 y DATA(1, 1) + 24 24 + + + 1/72 y DATA(3, -2) - 1/9 y DATA(3, -1) + 1/9 y DATA(3, 1) + + 2 3 + - 1/72 y DATA(3, 2) - 40/3 x y DATA(1, 1) + 5/18 y DATA(1, -2) + + 3 3 3 + + 5/24 y DATA(-1, -2) - 1/36 y DATA(-2, -2) + 7/36 y DATA(-2, -1) + + 3 3 3 + + 4/9 y DATA(-2, 1) - 7/36 y DATA(-2, 2) + 2/9 y DATA(3, 0) + + - 2/3 x y DATA(0, 2) + 16/3 x y DATA(0, 1) + 1/3 x y DATA(3, -1) + + - 1/3 x y DATA(3, 1) + 1/24 x y DATA(3, 2) + 2/3 x y DATA(0, -2) + + 2 2 + - 16/3 x y DATA(0, -1) - 4/3 x y DATA(0, -2) - 56/3 x y DATA(0, 0) + + 2 2 2 + - 4 x y DATA(0, 2) + 10 x y DATA(0, -1) - 1/24 x y DATA(3, 3) + + 2 2 + - 1/24 x y DATA(3, -2) + 1/2 y DATA(2, 2) + 1/72 y DATA(3, 3) + + 2 2 2 + - 5/3 y DATA(1, 2) - 5/4 y DATA(2, -1) - 5/3 y DATA(2, 1) + + 2 + - 35/6 y DATA(-1, 0) - 20/9 y DATA(1, -1) + 1/12 y DATA(2, 2) + + + 8 x DATA(0, 0) + 1/2 x DATA(-2, 0) - 7/2 x DATA(-1, 0) - 8 x DATA(1, 0) + + 3 + + 7/2 x DATA(2, 0) - 1/2 x DATA(3, 0) - 40/9 y DATA(1, 1) + + 3 3 3 + + 56/9 y DATA(0, 1) + 40/9 y DATA(1, 0) + 1/72 y DATA(3, -2) + + 3 3 3 + - 7/72 y DATA(3, -1) - 2/9 y DATA(3, 1) + 7/72 y DATA(3, 2) + + 3 3 3 + + 1/12 y DATA(2, 3) - 5/18 y DATA(1, 3) - 5/24 y DATA(-1, 3) + + 3 3 + + 1/36 y DATA(-2, 3) - 1/12 y DATA(2, -2) + 5/2 DATA(-1, 0) - DATA(2, 0) + + + 7/24 x y DATA(2, -2) - 2/3 x y DATA(1, -2) - 7/24 x y DATA(-1, -2) + + - 16/3 x y DATA(1, 1) - 7/24 x y DATA(2, 2) + 7/24 x y DATA(-1, 2) + + + 2/3 x y DATA(1, 2) - 7/3 x y DATA(2, -1) + 7/3 x y DATA(2, 1) + + + 7/3 x y DATA(-1, -1) - 7/3 x y DATA(-1, 1) + 16/3 x y DATA(1, -1) + + + 1/3 x y DATA(-2, 1) - 1/24 x y DATA(-2, 2) + 1/24 x y DATA(-2, -2) + + 3 3 + - 1/3 x y DATA(-2, -1) - 7/24 x y DATA(2, 3) + 2/3 x y DATA(1, 3) + + 3 + - 4/9 y DATA(-2, 0) + +> coeff_as_lc_of_data(%, posn_list_2d_size6); +bytes used=166226236, alloc=2817532, time=15.25 +bytes used=167226520, alloc=2817532, time=15.32 +[COEFF(-2, -2) = + + 2 3 3 2 + - 1/12 x y - 1/36 y + 1/24 x y + 1/18 y - 1/36 y + 1/24 x y, + + COEFF(-1, -2) = + + 2 3 2 3 + 7/12 x y - 7/24 x y + 5/24 y + 5/24 y - 5/12 y - 7/24 x y , + + 3 2 2 3 + COEFF(0, -2) = 2/3 x y + 2/3 x y - 7/18 y - 4/3 x y + 7/9 y - 7/18 y , + + 2 3 2 3 + COEFF(1, -2) = 5/18 y - 5/9 y - 2/3 x y - 2/3 x y + 4/3 x y + 5/18 y , + + COEFF(2, -2) = + + 3 2 3 2 + - 1/12 y - 7/12 x y + 7/24 x y - 1/12 y + 1/6 y + 7/24 x y, + + COEFF(3, -2) = + + 2 3 2 3 + 1/12 x y - 1/24 x y - 1/36 y + 1/72 y + 1/72 y - 1/24 x y, + + COEFF(-2, -1) = + + 2 2 3 3 + - 1/3 x y + 5/8 x y - 5/12 y - 7/24 x y + 2/9 y + 7/36 y , + + 2 35 3 49 3 2 + COEFF(-1, -1) = 25/8 y - 5/3 y - -- y + -- x y + 7/3 x y - 35/8 x y , + 24 24 + + 49 3 2 3 2 + COEFF(0, -1) = -- y - 16/3 x y - 35/6 y + 28/9 y - 14/3 x y + 10 x y , + 18 + + 35 3 2 2 3 + COEFF(1, -1) = - -- y + 25/6 y - 20/9 y - 10 x y + 14/3 x y + 16/3 x y, + 18 + + 3 49 3 2 2 + COEFF(2, -1) = - 7/3 x y + 7/12 y - -- x y + 2/3 y - 5/4 y + 35/8 x y , + 24 + + 3 2 3 2 + COEFF(3, -1) = 1/3 x y - 7/72 y + 5/24 y + 7/24 x y - 1/9 y - 5/8 x y , + + 2 2 3 3 + COEFF(-2, 0) = 1/2 x - 7/6 x y + 7/9 y + 2/3 x y - 1/3 - 4/9 y , + + 2 3 3 2 + COEFF(-1, 0) = 49/6 x y + 10/3 y - 14/3 x y - 35/6 y - 7/2 x + 5/2, + + 3 2 3 2 + COEFF(0, 0) = - 14/3 + 8 x + 32/3 x y + 98/9 y - 56/9 y - 56/3 x y , + + 3 2 3 2 + COEFF(1, 0) = - 32/3 x y + 56/3 x y + 40/9 y - 8 x - 70/9 y + 10/3, + + 2 2 3 3 + COEFF(2, 0) = -1 + 7/2 x - 49/6 x y + 7/3 y + 14/3 x y - 4/3 y , + + 2 2 3 3 + COEFF(3, 0) = 1/6 + 7/6 x y - 1/2 x - 7/18 y + 2/9 y - 2/3 x y , + + 3 2 3 2 + COEFF(-2, 1) = 1/3 x y + 4/9 y + 5/6 x y - 2/9 y - 2/3 x y - 5/9 y , + + COEFF(-1, 1) = + + 3 2 3 2 + - 7/3 x y - 10/3 y + 25/6 y + 5/3 y + 14/3 x y - 35/6 x y , COEFF(0, 1) + + 2 3 2 3 + = - 28/9 y + 40/3 x y + 16/3 x y + 56/9 y - 70/9 y - 32/3 x y , + + 2 2 3 3 + COEFF(1, 1) = 20/9 y - 16/3 x y - 40/3 x y + 50/9 y - 40/9 y + 32/3 x y + + 2 3 2 3 + , COEFF(2, 1) = 35/6 x y - 14/3 x y - 5/3 y + 7/3 x y + 4/3 y - 2/3 y, + + 2 3 2 3 + COEFF(3, 1) = 5/18 y - 1/3 x y + 2/3 x y - 5/6 x y + 1/9 y - 2/9 y , + + 2 3 2 3 + COEFF(-2, 2) = 1/6 y - 1/24 x y + 7/24 x y - 1/4 x y - 7/36 y + 1/36 y, + + 2 49 3 2 35 3 + COEFF(-1, 2) = - 5/4 y - 5/24 y - -- x y + 7/24 x y + 7/4 x y + -- y , + 24 24 + + 2 3 2 49 3 + COEFF(0, 2) = -4 x y + 7/18 y + 14/3 x y + 7/3 y - -- y - 2/3 x y, + 18 + + 2 35 3 3 2 + COEFF(1, 2) = - 5/18 y - 5/3 y + 2/3 x y + -- y - 14/3 x y + 4 x y , + 18 + + 3 2 49 3 2 + COEFF(2, 2) = - 7/12 y - 7/4 x y + 1/12 y - 7/24 x y + -- x y + 1/2 y , + 24 + + COEFF(3, 2) = + + 2 2 3 3 + - 1/12 y + 1/24 x y + 1/4 x y + 7/72 y - 7/24 x y - 1/72 y, + + 2 2 3 3 + COEFF(-2, 3) = - 1/36 y + 1/24 x y + 1/36 y - 1/24 x y , + + 2 3 2 3 + COEFF(-1, 3) = - 7/24 x y + 7/24 x y + 5/24 y - 5/24 y , + + 3 3 2 2 + COEFF(0, 3) = - 2/3 x y + 7/18 y - 7/18 y + 2/3 x y , + + 2 3 3 2 + COEFF(1, 3) = 5/18 y + 2/3 x y - 5/18 y - 2/3 x y , + + 3 2 2 3 + COEFF(2, 3) = 1/12 y - 1/12 y + 7/24 x y - 7/24 x y , + + 3 3 2 2 + COEFF(3, 3) = - 1/72 y + 1/24 x y - 1/24 x y + 1/72 y ] + +> print_coeff__lc_of_data(%, "coeff_dxx_", "fp", +> "2d.coeffs/2d.cube.order3/coeff-dxx.compute.c"); +bytes used=168226812, alloc=2817532, time=15.39 +bytes used=169227136, alloc=2817532, time=15.47 +bytes used=170227388, alloc=2817532, time=15.54 +bytes used=171228332, alloc=2817532, time=15.63 +bytes used=172228548, alloc=2817532, time=15.71 +bytes used=173228700, alloc=2817532, time=15.92 +bytes used=174229080, alloc=2817532, time=15.99 +bytes used=175229236, alloc=2817532, time=16.05 +bytes used=176230320, alloc=2817532, time=16.14 +bytes used=177230560, alloc=2817532, time=16.23 +bytes used=178230744, alloc=2817532, time=16.33 +bytes used=179230904, alloc=2817532, time=16.41 +bytes used=180231060, alloc=2817532, time=16.68 +bytes used=181231244, alloc=2817532, time=16.75 +bytes used=182231912, alloc=2817532, time=16.86 +bytes used=183232252, alloc=2817532, time=17.12 +bytes used=184232592, alloc=2817532, time=17.21 +> +# d^2/dxdy +> simplify( diff(interp_2d_cube_order3,x,y) ); +bytes used=185275284, alloc=2817532, time=17.34 +bytes used=186275460, alloc=2817532, time=17.40 +bytes used=187275588, alloc=2817532, time=17.47 + 2 2 +7/12 x y DATA(-2, -1) + 4/9 DATA(1, 1) + 7/4 x y DATA(2, -1) + + 2 2 + + 4 x y DATA(2, 1) + 10 x y DATA(-1, 0) - 1/144 DATA(2, -2) + + 2 + + 1/18 DATA(1, -2) - 4 x y DATA(2, 0) - 1/18 DATA(-1, -2) + + + 1/144 DATA(-2, -2) - 1/18 DATA(-2, -1) + 1/18 DATA(-2, 1) + + 2 2 2 + - 1/144 DATA(-2, 2) - 35/8 x y DATA(-1, -1) + 7 x y DATA(-1, 1) + + 2 2 49 2 2 2 + + 7 x y DATA(1, -1) + -- x y DATA(2, 2) - 10 x y DATA(-1, 1) + 16 + + 2 + - 35/6 x y DATA(1, -1) + 28/9 y DATA(-1, 0) + 7/18 y DATA(2, 0) + + 2 2 2 + - 7/4 x y DATA(2, 2) + 40/3 x y DATA(0, 1) - 5/8 x y DATA(3, -1) + + 2 2 2 + - 5/6 x y DATA(3, 1) + 1/4 x y DATA(3, 2) + 7/6 x y DATA(3, 0) + + 2 2 2 + + 2/3 x y DATA(0, 3) - 1/12 x y DATA(-2, -2) + 5/8 x y DATA(-2, -1) + + 2 2 2 + + 5/6 x y DATA(-2, 1) - 1/4 x y DATA(-2, 2) - 7/6 x y DATA(-2, 0) + + 2 2 2 + + 7/4 x y DATA(-1, 2) + 4 x y DATA(1, 2) + 35/8 x y DATA(2, -1) + + 2 2 2 + + 35/6 x y DATA(2, 1) + 49/6 x y DATA(-1, 0) + 56/3 x y DATA(1, 0) + + 2 2 2 + - 2/3 x y DATA(1, 3) + 1/12 x y DATA(3, -2) + 1/6 x DATA(-2, 1) + + 2 2 2 + - 1/48 x DATA(-2, 2) + 1/3 x DATA(0, -2) + 7/48 x DATA(-1, 2) + + 2 2 2 + + 1/3 x DATA(1, 2) - 7/6 x DATA(2, -1) + 7/6 x DATA(2, 1) + + 2 + + 7/6 x DATA(-1, -1) + 7/18 x DATA(0, 2) - 28/9 x DATA(0, 1) + + + 1/72 x DATA(3, -2) - 1/9 x DATA(3, -1) + 1/9 x DATA(3, 1) + + - 1/72 x DATA(3, 2) - 1/12 x DATA(2, -2) + 5/18 x DATA(1, -2) + + + 5/24 x DATA(-1, -2) - 1/36 x DATA(-2, -2) + 2/9 x DATA(-2, -1) + + - 2/9 x DATA(-2, 1) + 1/36 x DATA(-2, 2) - 7/18 x DATA(0, -2) + + - 5/24 x DATA(-1, 2) - 5/18 x DATA(1, 2) + 2/3 x DATA(2, -1) + + - 2/3 x DATA(2, 1) - 5/3 x DATA(-1, -1) + 5/3 x DATA(-1, 1) + + 2 2 + - 20/9 x DATA(1, -1) - 7/12 x y DATA(-2, 2) + 35/8 x y DATA(-1, 2) + + 2 2 2 + + 35/6 x y DATA(1, 2) - 4/3 x y DATA(-2, 0) + 1/12 x y DATA(-2, 3) + + 2 + + 5/6 x y DATA(1, -2) - 28/9 y DATA(1, 0) - 1/72 y DATA(2, 3) + + + 1/9 y DATA(1, 3) - 1/9 y DATA(-1, 3) + 1/72 y DATA(-2, 3) + + - 7/18 y DATA(-2, 0) + 28/9 x DATA(0, -1) + 1/12 x DATA(2, 2) + + 2 2 2 + - 8/3 x DATA(1, 1) + 8/3 x DATA(0, 1) - 1/48 x DATA(3, -2) + + 2 2 2 + + 1/6 x DATA(3, -1) - 1/6 x DATA(3, 1) + 1/48 x DATA(3, 2) + + 2 2 2 + + 7/48 x DATA(2, -2) - 1/3 x DATA(1, -2) - 7/48 x DATA(-1, -2) + + 2 2 2 2 + + 1/48 x DATA(-2, -2) - 1/6 x DATA(-2, -1) + 16 x y DATA(0, 0) + + 2 2 2 2 2 2 + - 16 x y DATA(0, 1) - 1/16 x y DATA(3, -2) + 7/16 x y DATA(3, -1) + + 2 2 2 2 2 2 + + x y DATA(3, 1) - 7/16 x y DATA(3, 2) - x y DATA(3, 0) + + 2 2 2 2 2 2 + - x y DATA(0, 3) + 1/16 x y DATA(-2, -2) - 7/16 x y DATA(-2, -1) + + 2 2 2 2 2 2 + - x y DATA(-2, 1) + 7/16 x y DATA(-2, 2) + x y DATA(-2, 0) + + 49 2 2 2 2 49 2 2 + - -- x y DATA(-1, 2) - 7 x y DATA(1, 2) - -- x y DATA(2, -1) + 16 16 + + 2 2 2 2 2 + - 7 x y DATA(2, 1) - 7 x y DATA(-1, 0) + 5/8 x y DATA(-1, -2) + + 2 2 2 + - 1/12 x y DATA(-2, -2) + 4/3 x y DATA(-2, 1) - 1/4 x y DATA(2, -2) + + + 1/36 y DATA(2, -2) - 2/9 y DATA(1, -2) + 2/9 y DATA(-1, -2) + + - 1/36 y DATA(-2, -2) + 5/24 y DATA(-2, -1) + 5/18 y DATA(-2, 1) + + - 1/12 y DATA(-2, 2) + 2/3 y DATA(-1, 2) - 2/3 y DATA(1, 2) + + - 5/24 y DATA(2, -1) - 5/18 y DATA(2, 1) - 5/3 y DATA(-1, -1) + + 2 2 + - 20/9 y DATA(-1, 1) - 1/3 y DATA(2, 0) + 7/6 y DATA(-1, -1) + + 2 2 2 + - 7/6 y DATA(-1, 2) - 1/48 y DATA(-2, 3) - 1/48 y DATA(2, -2) + + 2 2 2 + + 1/6 y DATA(1, -2) - 1/6 y DATA(-1, -2) + 1/48 y DATA(-2, -2) + + 2 2 2 + - 7/48 y DATA(-2, -1) - 1/3 y DATA(-2, 1) + 7/48 y DATA(-2, 2) + + 2 2 2 + + 1/3 y DATA(-2, 0) + 8/3 y DATA(-1, 1) - 7/6 y DATA(1, -1) + + 2 2 2 + + 40/3 x y DATA(1, 0) + 1/4 x y DATA(2, 3) - 5/6 x y DATA(1, 3) + + 2 2 2 + + 56/3 x y DATA(0, 1) + 1/24 x y DATA(3, -2) - 7/24 x y DATA(3, -1) + + 2 2 2 + - 2/3 x y DATA(3, 1) + 7/24 x y DATA(3, 2) + 2/3 x y DATA(3, 0) + + 2 2 + + 7/6 x y DATA(0, 3) - 35/3 x y DATA(-1, 0) - 40/3 x y DATA(1, 1) + + - 140/9 x y DATA(1, 0) - 1/6 x y DATA(2, 3) + 5/9 x y DATA(1, 3) + + + 5/12 x y DATA(-1, 3) - 1/18 x y DATA(-2, 3) + 1/36 x y DATA(3, 3) + + 2 2 2 + - 7/24 x y DATA(-1, 3) + 1/24 x y DATA(-2, 3) - 7/12 x y DATA(2, -2) + + 2 2 2 + + 4/3 x y DATA(1, -2) + 7/12 x y DATA(-1, -2) - 4/3 x y DATA(0, -2) + + 2 2 2 + - 1/24 x y DATA(3, 3) + 10 x y DATA(0, -1) - 4 x y DATA(0, 2) + + 2 2 2 + - 49/6 x y DATA(2, 0) - 35/8 x y DATA(-1, -1) - 35/6 x y DATA(-1, 1) + + 2 2 2 + - 10 x y DATA(1, -1) - 7/4 x y DATA(2, 2) - 56/3 x y DATA(0, 0) + + 2 + + 7/24 x y DATA(2, 3) + 196/9 x y DATA(0, 0) - 7/9 x y DATA(3, 0) + + - 7/9 x y DATA(0, 3) + 14/9 x y DATA(-2, 0) + 20/9 x DATA(1, 1) + + 2 2 2 + - 5/8 x y DATA(-1, 3) - 8/3 y DATA(1, 1) + 8/3 y DATA(1, 0) + + 2 2 2 + + 1/48 y DATA(2, 3) - 1/6 y DATA(1, 3) + 1/6 y DATA(-1, 3) + + 2 + + 20/9 y DATA(1, 1) - 40/3 x y DATA(1, 1) + 14/3 x y DATA(0, 2) + + - 140/9 x y DATA(0, 1) + 5/12 x y DATA(3, -1) + 5/9 x y DATA(3, 1) + + - 1/6 x y DATA(3, 2) + 14/9 x y DATA(0, -2) - 35/3 x y DATA(0, -1) + + 2 2 2 + - 7/6 x DATA(-1, 1) - 8/3 x DATA(0, -1) - 1/3 x DATA(0, 2) + + 2 2 2 + - 7/48 x DATA(2, 2) + 8/3 x DATA(1, -1) - 7/6 x y DATA(0, -2) + + 2 2 2 + - 56/3 x y DATA(0, 0) - 49/6 x y DATA(0, 2) + 49/6 x y DATA(0, -1) + + 2 2 + - 1/24 x y DATA(3, 3) - 1/18 x y DATA(3, -2) - 7/48 y DATA(2, 2) + + 2 2 2 + + 7/6 y DATA(1, 2) + 7/48 y DATA(2, -1) + 1/3 y DATA(2, 1) + + 2 + - 8/3 y DATA(-1, 0) + 5/3 y DATA(1, -1) + 1/12 y DATA(2, 2) + + + 14/3 x y DATA(2, 0) + 1/18 DATA(-1, 2) - 1/18 DATA(1, 2) + + + 1/18 DATA(2, -1) - 1/18 DATA(2, 1) + 4/9 DATA(-1, -1) - 4/9 DATA(-1, 1) + + - 4/9 DATA(1, -1) + 1/3 x y DATA(2, -2) - 10/9 x y DATA(1, -2) + + - 5/6 x y DATA(-1, -2) + 1/144 DATA(2, 2) + 100/9 x y DATA(1, 1) + + + x y DATA(2, 2) - 5/2 x y DATA(-1, 2) - 10/3 x y DATA(1, 2) + + - 5/2 x y DATA(2, -1) - 10/3 x y DATA(2, 1) + 25/4 x y DATA(-1, -1) + + + 25/3 x y DATA(-1, 1) + 25/3 x y DATA(1, -1) - 10/9 x y DATA(-2, 1) + + + 1/3 x y DATA(-2, 2) + 1/9 x y DATA(-2, -2) - 5/6 x y DATA(-2, -1) + + 2 2 2 2 2 2 + + 16 x y DATA(1, 1) - 16 x y DATA(1, 0) - 7/16 x y DATA(2, 3) + + 2 2 2 2 2 2 + + x y DATA(1, 3) + 7/16 x y DATA(-1, 3) - 1/16 x y DATA(-2, 3) + + 2 2 2 2 2 2 + + 7/16 x y DATA(2, -2) - x y DATA(1, -2) - 7/16 x y DATA(-1, -2) + + 2 2 2 2 2 2 + + x y DATA(0, -2) + 1/16 x y DATA(3, 3) - 7 x y DATA(0, -1) + + 2 2 2 2 49 2 2 + + 7 x y DATA(0, 2) + 7 x y DATA(2, 0) + -- x y DATA(-1, -1) + 16 + +> coeff_as_lc_of_data(%, posn_list_2d_size6); +bytes used=188276024, alloc=2817532, time=17.54 +bytes used=189276212, alloc=2817532, time=17.61 + 2 2 2 2 +[COEFF(-2, -2) = - 1/36 y + 1/144 - 1/12 x y + 1/48 x + 1/16 x y + 1/9 x y + + 2 2 2 + - 1/12 x y - 1/36 x + 1/48 y , COEFF(-1, -2) = 5/24 x - 5/6 x y - 1/6 y + + 2 2 2 2 2 + + 7/12 x y + 5/8 x y - 7/48 x - 7/16 x y + 2/9 y - 1/18, + + 2 2 2 2 2 + COEFF(0, -2) = - 7/18 x + 1/3 x - 7/6 x y + x y - 4/3 x y + 14/9 x y, + + 2 2 2 + COEFF(1, -2) = 4/3 x y + 1/6 y - 10/9 x y + 5/18 x + 1/18 - 1/3 x + + 2 2 2 2 + - x y - 2/9 y + 5/6 x y , COEFF(2, -2) = 1/36 y + 1/3 x y - 7/12 x y + + 2 2 2 2 2 + + 7/48 x - 1/4 x y - 1/48 y - 1/12 x - 1/144 + 7/16 x y , COEFF(3, -2) + + 2 2 2 2 2 + = 1/12 x y + 1/24 x y - 1/16 x y + 1/72 x - 1/48 x - 1/18 x y, + + 2 2 2 2 + COEFF(-2, -1) = - 1/6 x + 5/8 x y - 1/18 - 7/16 x y + 5/24 y + + 2 2 2 + + 7/12 x y - 7/48 y - 5/6 x y + 2/9 x, COEFF(-1, -1) = - 35/8 x y + + 2 2 49 2 2 2 + - 5/3 y + 7/6 y + 25/4 x y + 7/6 x + 4/9 + -- x y - 5/3 x - 35/8 x y , + 16 + + 2 2 2 2 2 + COEFF(0, -1) = 28/9 x - 8/3 x + 10 x y + 49/6 x y - 35/3 x y - 7 x y , + + 2 2 2 2 2 2 + COEFF(1, -1) = -10 x y - 7/6 y + 7 x y + 8/3 x - 4/9 - 35/6 x y + + 2 + + 5/3 y + 25/3 x y - 20/9 x, COEFF(2, -1) = - 5/24 y + 1/18 + 7/4 x y + + 2 49 2 2 2 2 + - 7/6 x + 2/3 x - -- x y - 5/2 x y + 7/48 y + 35/8 x y, COEFF(3, -1) + 16 + + 2 2 2 2 2 + = - 5/8 x y + 5/12 x y - 1/9 x + 1/6 x - 7/24 x y + 7/16 x y , + + 2 2 2 2 2 + COEFF(-2, 0) = - 7/18 y + 1/3 y - 7/6 x y + 14/9 x y + x y - 4/3 x y , + + 2 2 2 2 2 + COEFF(-1, 0) = 10 x y - 8/3 y + 49/6 x y - 7 x y + 28/9 y - 35/3 x y, + + 2 2 2 2 + COEFF(0, 0) = - 56/3 x y + 196/9 x y - 56/3 x y + 16 x y , COEFF(1, 0) + + 2 2 2 2 2 + = 40/3 x y - 28/9 y - 16 x y + 56/3 x y - 140/9 x y + 8/3 y , + + 2 2 2 2 2 + COEFF(2, 0) = 7/18 y - 1/3 y - 4 x y + 14/3 x y + 7 x y - 49/6 x y, + + 2 2 2 2 + COEFF(3, 0) = 7/6 x y - x y - 7/9 x y + 2/3 x y , COEFF(-2, 1) = + + 2 2 2 2 2 2 + - 10/9 x y + 1/18 - 1/3 y + 4/3 x y - x y + 5/6 x y - 2/9 x + 1/6 x + + 2 2 2 2 + + 5/18 y, COEFF(-1, 1) = - 7/6 x - 4/9 - 10 x y + 5/3 x + 7 x y + + 2 2 + - 20/9 y + 25/3 x y + 8/3 y - 35/6 x y, COEFF(0, 1) = + + 2 2 2 2 2 + - 28/9 x - 140/9 x y + 56/3 x y + 8/3 x + 40/3 x y - 16 x y , + + 2 2 2 + COEFF(1, 1) = 20/9 x - 8/3 x + 20/9 y - 8/3 y - 40/3 x y + 100/9 x y + + 2 2 2 2 2 2 + + 4/9 - 40/3 x y + 16 x y , COEFF(2, 1) = 7/6 x + 4 x y + 1/3 y + + 2 2 2 + - 1/18 + 35/6 x y - 10/3 x y - 7 x y - 2/3 x - 5/18 y, + + 2 2 2 2 2 + COEFF(3, 1) = x y - 5/6 x y - 2/3 x y + 5/9 x y + 1/9 x - 1/6 x , + + 2 2 2 2 + COEFF(-2, 2) = 1/3 x y - 1/4 x y + 7/16 x y + 1/36 x - 1/12 y + 7/48 y + + 2 2 2 2 + - 7/12 x y - 1/144 - 1/48 x , COEFF(-1, 2) = 7/4 x y - 5/2 x y - 7/6 y + + 2 49 2 2 2 + + 1/18 + 35/8 x y - 5/24 x + 2/3 y - -- x y + 7/48 x , + 16 + + 2 2 2 2 2 + COEFF(0, 2) = -4 x y - 1/3 x - 49/6 x y + 7/18 x + 14/3 x y + 7 x y , + + 2 2 2 2 + COEFF(1, 2) = - 1/18 + 4 x y - 2/3 y - 10/3 x y + 1/3 x - 7 x y + + 2 2 2 2 + - 5/18 x + 35/6 x y + 7/6 y , COEFF(2, 2) = - 7/48 y - 7/4 x y + + 2 2 49 2 2 + - 7/48 x + x y + 1/12 x - 7/4 x y + 1/144 + 1/12 y + -- x y , + 16 + + COEFF(3, 2) = + + 2 2 2 2 2 + 1/48 x + 1/4 x y - 1/6 x y + 7/24 x y - 7/16 x y - 1/72 x, + + COEFF(-2, 3) = + + 2 2 2 2 2 + 1/72 y - 1/18 x y - 1/16 x y - 1/48 y + 1/24 x y + 1/12 x y , + + COEFF(-1, 3) = + + 2 2 2 2 2 + - 5/8 x y + 5/12 x y - 1/9 y + 1/6 y + 7/16 x y - 7/24 x y, + + 2 2 2 2 + COEFF(0, 3) = 7/6 x y - 7/9 x y + 2/3 x y - x y , + + 2 2 2 2 2 + COEFF(1, 3) = - 2/3 x y + 5/9 x y - 1/6 y + x y + 1/9 y - 5/6 x y , + + COEFF(2, 3) = + + 2 2 2 2 2 + - 1/6 x y - 1/72 y + 1/48 y + 1/4 x y + 7/24 x y - 7/16 x y , + + 2 2 2 2 + COEFF(3, 3) = - 1/24 x y + 1/36 x y + 1/16 x y - 1/24 x y] + +> print_coeff__lc_of_data(%, "coeff_dxy_", "fp", +> "2d.coeffs/2d.cube.order3/coeff-dxy.compute.c"); +bytes used=190276656, alloc=2817532, time=17.67 +bytes used=191276812, alloc=2817532, time=17.74 +bytes used=192277000, alloc=2817532, time=17.82 +bytes used=193280484, alloc=2817532, time=17.89 +bytes used=194289872, alloc=2817532, time=17.98 +bytes used=195290608, alloc=2817532, time=18.06 +bytes used=196290768, alloc=2817532, time=18.13 +bytes used=197290928, alloc=2817532, time=18.19 +bytes used=198291080, alloc=2817532, time=18.50 +bytes used=199291256, alloc=2817532, time=18.57 +bytes used=200291420, alloc=2817532, time=18.64 +bytes used=201291680, alloc=2817532, time=18.73 +bytes used=202291864, alloc=2817532, time=18.83 +bytes used=203292036, alloc=2817532, time=18.92 +bytes used=204292188, alloc=2817532, time=19.01 +bytes used=205299816, alloc=2817532, time=19.09 +bytes used=206300260, alloc=2817532, time=19.18 +bytes used=207307236, alloc=2817532, time=19.47 +bytes used=208307416, alloc=2817532, time=19.62 +bytes used=209307608, alloc=2817532, time=19.69 +bytes used=210308168, alloc=2817532, time=19.80 +bytes used=211308384, alloc=2817532, time=19.90 +bytes used=212308560, alloc=2817532, time=20.06 +bytes used=213309652, alloc=2817532, time=20.34 +bytes used=214309824, alloc=2817532, time=20.45 +> +# d^2/dy^2 +> simplify( diff(interp_2d_cube_order3,y,y) ); +bytes used=215310112, alloc=2817532, time=20.55 +bytes used=216310312, alloc=2817532, time=20.62 +- 14/3 DATA(0, 0) + 10/3 DATA(0, 1) + 1/6 DATA(0, 3) - 1/3 DATA(0, -2) + + 2 2 2 + + 56/3 x y DATA(0, 1) - 7/24 x y DATA(3, -1) - 2/3 x y DATA(3, 1) + + 2 2 2 + + 7/24 x y DATA(3, 2) + 2/3 x y DATA(3, 0) + 7/6 x y DATA(0, 3) + + 2 2 2 + - 1/12 x y DATA(-2, -2) + 7/12 x y DATA(-2, -1) + 4/3 x y DATA(-2, 1) + + 2 2 2 + - 7/12 x y DATA(-2, 2) - 4/3 x y DATA(-2, 0) + 35/8 x y DATA(-1, 2) + + 2 2 2 + + 35/6 x y DATA(1, 2) + 7/4 x y DATA(2, -1) + 4 x y DATA(2, 1) + + 2 2 2 + + 10 x y DATA(-1, 0) + 40/3 x y DATA(1, 0) - 5/6 x y DATA(1, 3) + + 2 2 2 + + 1/24 x y DATA(3, -2) - 5/9 x DATA(-2, 1) + 1/6 x DATA(-2, 2) + + 2 2 2 + + 7/9 x DATA(0, -2) - 5/4 x DATA(-1, 2) - 5/3 x DATA(1, 2) + + 2 2 2 + - 5/4 x DATA(2, -1) - 5/3 x DATA(2, 1) + 25/8 x DATA(-1, -1) + + + 1/36 x DATA(2, -2) - 2/9 x DATA(1, -2) + 2/9 x DATA(-1, -2) + + - 1/36 x DATA(-2, -2) + 5/24 x DATA(-2, -1) + 5/18 x DATA(-2, 1) + + - 1/12 x DATA(-2, 2) + 2/3 x DATA(-1, 2) - 2/3 x DATA(1, 2) + + - 5/24 x DATA(2, -1) - 5/18 x DATA(2, 1) - 5/3 x DATA(-1, -1) + + - 20/9 x DATA(-1, 1) + 5/3 x DATA(1, -1) + 1/12 x DATA(2, 2) + + 2 2 2 + + 50/9 x DATA(1, 1) - 70/9 x DATA(0, 1) - 1/36 x DATA(3, -2) + + 2 2 2 + + 5/24 x DATA(3, -1) + 5/18 x DATA(3, 1) - 1/12 x DATA(3, 2) + + 2 2 2 + + 1/6 x DATA(2, -2) - 5/9 x DATA(1, -2) - 5/12 x DATA(-1, -2) + + 2 2 + + 1/18 x DATA(-2, -2) - 5/12 x DATA(-2, -1) - 16/3 x y DATA(-1, 0) + + 2 + - 40/3 x y DATA(1, 1) + 16/3 x y DATA(1, 0) + 1/24 x y DATA(2, 3) + + - 1/3 x y DATA(1, 3) + 1/3 x y DATA(-1, 3) - 1/24 x y DATA(-2, 3) + + 2 2 2 + - 5/8 x y DATA(-1, 3) + 1/12 x y DATA(-2, 3) - 1/4 x y DATA(2, -2) + + 2 2 2 + + 5/6 x y DATA(1, -2) + 5/8 x y DATA(-1, -2) - 7/6 x y DATA(0, -2) + + 2 2 2 + - 1/24 x y DATA(3, 3) + 49/6 x y DATA(0, -1) - 49/6 x y DATA(0, 2) + + 2 2 2 + - 4 x y DATA(2, 0) - 35/8 x y DATA(-1, -1) - 10 x y DATA(-1, 1) + + 2 2 2 + - 35/6 x y DATA(1, -1) - 7/4 x y DATA(2, 2) - 56/3 x y DATA(0, 0) + + 2 + + 1/4 x y DATA(2, 3) + 2/3 x y DATA(-2, 0) + 20/9 x DATA(1, 1) + + 2 2 2 + + 25/6 x DATA(-1, 1) - 35/6 x DATA(0, -1) + 7/3 x DATA(0, 2) + + 2 2 + + 1/2 x DATA(2, 2) + 25/6 x DATA(1, -1) - 2/3 x y DATA(2, 0) + + + 5/2 DATA(0, -1) - DATA(0, 2) - 1/24 x y DATA(2, -2) + + + 1/3 x y DATA(1, -2) - 1/3 x y DATA(-1, -2) - 16/3 x y DATA(1, 1) + + 3 3 + - 1/2 y DATA(0, 3) + 2/3 y x DATA(3, 1) + 1/24 y x DATA(3, 3) + + 49 3 3 3 + + -- y x DATA(2, 2) - 2/3 y x DATA(-2, 1) + 7/24 y x DATA(-2, 2) + 24 + + 3 + - 7/24 y x DATA(3, 2) - 7/18 x DATA(-2, 0) + 28/9 x DATA(-1, 0) + + 3 3 + - 2/3 y x DATA(3, 0) + 14/3 y x DATA(1, -1) - 7/24 x y DATA(2, 2) + + 3 3 3 + - 32/3 y x DATA(0, 1) + 14/3 y x DATA(0, 2) + 32/3 y x DATA(0, 0) + + 3 3 3 + - 1/24 y x DATA(3, -2) + 7/24 y x DATA(3, -1) + 7/24 y x DATA(-1, 3) + + 3 3 3 + - 1/24 y x DATA(-2, 3) + 7/24 y x DATA(2, -2) - 2/3 y x DATA(1, -2) + + 3 3 3 + + 1/24 y x DATA(-2, -2) - 2/3 y x DATA(0, 3) + 32/3 y x DATA(1, 1) + + 3 3 3 + - 32/3 y x DATA(1, 0) - 7/24 y x DATA(2, 3) + 2/3 y x DATA(-2, 0) + + 49 3 3 49 3 + - -- y x DATA(-1, 2) - 14/3 y x DATA(1, 2) - -- y x DATA(2, -1) + 24 24 + + 3 2 + - 14/3 y x DATA(2, 1) + 7/9 x DATA(-2, 0) - 28/9 x DATA(1, 0) + + - 1/72 x DATA(2, 3) + 1/9 x DATA(1, 3) - 1/9 x DATA(-1, 3) + + 3 2 + + 1/72 x DATA(-2, 3) - 7/24 y x DATA(-2, -1) + 1/72 x DATA(3, 3) + + 3 2 2 + + 2/3 y x DATA(0, -2) + 98/9 x DATA(0, 0) - 70/9 x DATA(1, 0) + + 2 2 + - 1/12 x DATA(2, 3) + 7/18 x DATA(2, 0) - 7/18 x DATA(3, 0) + + 2 3 3 + - 7/18 x DATA(0, 3) - 5/24 x DATA(3, -1) + 1/12 x DATA(3, 2) + + 3 3 3 + - 1/72 x DATA(3, 3) - 7/12 x DATA(2, 2) + 5/18 x DATA(-2, 1) + + 3 3 3 + - 1/12 x DATA(-2, 2) - 7/18 x DATA(-2, 0) + 7/18 x DATA(3, 0) + + 2 2 2 + + 5/18 x DATA(1, 3) + 5/24 x DATA(-1, 3) - 1/36 x DATA(-2, 3) + + 3 2 2 + - 5/18 x DATA(3, 1) - 35/6 x DATA(-1, 0) + 7/3 x DATA(2, 0) + + 3 35 3 35 3 + + 7/12 x DATA(-1, 2) + -- x DATA(2, -1) + -- x DATA(2, 1) + 24 18 + + 49 3 49 3 35 3 + + -- x DATA(-1, 0) - -- x DATA(2, 0) - -- x DATA(-1, -1) + 18 18 24 + + 3 3 3 + + 4/3 x DATA(1, 2) - 10/3 x DATA(1, -1) + 1/36 x DATA(3, -2) + + 35 3 3 3 + - -- x DATA(-1, 1) + 40/9 x DATA(0, 1) - 4/3 x DATA(0, 2) + 18 + + 3 3 3 + - 56/9 x DATA(0, 0) + 2/9 x DATA(0, 3) - 40/9 x DATA(1, 1) + + 3 3 3 + + 56/9 x DATA(1, 0) + 7/72 x DATA(2, 3) - 2/9 x DATA(1, 3) + + 3 3 3 + - 7/72 x DATA(-1, 3) + 1/72 x DATA(-2, 3) - 7/36 x DATA(2, -2) + + 3 3 3 + + 4/9 x DATA(1, -2) - 1/36 x DATA(-2, -2) - 14/3 y x DATA(0, -1) + + 3 3 + - 7/24 y x DATA(-1, -2) + 2/3 y x DATA(1, 3) - 7/2 y DATA(0, -1) + + - 8 y DATA(0, 1) + 7/2 y DATA(0, 2) + 8 y DATA(0, 0) + + 3 3 3 + + 5/24 x DATA(-2, -1) + 10/3 x DATA(0, -1) + 7/36 x DATA(-1, -2) + + - 7/3 x y DATA(-1, 2) + 7/3 x y DATA(1, 2) + 7/24 x y DATA(2, -1) + + + 2/3 x y DATA(2, 1) + 7/3 x y DATA(-1, -1) + 16/3 x y DATA(-1, 1) + + 3 3 + - 7/3 x y DATA(1, -1) - 14/3 y x DATA(-1, 0) + 14/3 y x DATA(2, 0) + + 49 3 3 + + -- y x DATA(-1, -1) + 14/3 y x DATA(-1, 1) - 2/3 x y DATA(-2, 1) + 24 + + + 7/24 x y DATA(-2, 2) + 1/24 x y DATA(-2, -2) - 7/24 x y DATA(-2, -1) + + 3 + - 4/9 x DATA(0, -2) + 1/2 y DATA(0, -2) + +> coeff_as_lc_of_data(%, posn_list_2d_size6); +bytes used=217310640, alloc=2817532, time=20.70 +bytes used=218311028, alloc=2817532, time=20.77 +[COEFF(-2, -2) = + + 2 2 3 3 + - 1/12 x y + 1/18 x - 1/36 x + 1/24 y x + 1/24 x y - 1/36 x, + + 3 3 2 2 + COEFF(-1, -2) = 7/36 x - 7/24 y x + 2/9 x + 5/8 x y - 5/12 x - 1/3 x y, + + 2 3 2 3 + COEFF(0, -2) = 7/9 x - 1/3 - 4/9 x + 1/2 y - 7/6 x y + 2/3 y x , + + 3 3 2 2 + COEFF(1, -2) = - 2/3 y x + 4/9 x + 1/3 x y - 5/9 x + 5/6 x y - 2/9 x, + + 2 3 2 3 + COEFF(2, -2) = 1/6 x + 1/36 x + 7/24 y x - 1/4 x y - 1/24 x y - 7/36 x , + + 3 3 2 2 + COEFF(3, -2) = - 1/24 y x + 1/36 x - 1/36 x + 1/24 x y, COEFF(-2, -1) + + 3 2 2 3 + = 5/24 x + 7/12 x y + 5/24 x - 7/24 x y - 5/12 x - 7/24 y x , + + 2 35 3 49 3 2 + COEFF(-1, -1) = 25/8 x + 7/3 x y - -- x - 5/3 x + -- y x - 35/8 x y, + 24 24 + + 3 2 2 3 + COEFF(0, -1) = 10/3 x - 35/6 x - 7/2 y + 49/6 x y - 14/3 y x + 5/2, + + COEFF(1, -1) = + + 3 2 3 2 + - 10/3 x - 35/6 x y + 14/3 y x + 5/3 x - 7/3 x y + 25/6 x , + + 2 2 49 3 35 3 + COEFF(2, -1) = 7/4 x y - 5/4 x - 5/24 x - -- y x + 7/24 x y + -- x , + 24 24 + + 3 2 3 2 + COEFF(3, -1) = 7/24 y x - 7/24 x y - 5/24 x + 5/24 x , + + 3 3 2 2 + COEFF(-2, 0) = 2/3 y x - 7/18 x - 4/3 x y - 7/18 x + 7/9 x + 2/3 x y, + + 3 49 3 2 2 + COEFF(-1, 0) = - 14/3 y x + -- x + 10 x y - 16/3 x y + 28/9 x - 35/6 x , + 18 + + 3 3 2 2 + COEFF(0, 0) = 8 y + 32/3 y x - 14/3 - 56/9 x - 56/3 x y + 98/9 x , + + COEFF(1, 0) = + + 2 2 3 3 + - 28/9 x + 40/3 x y - 70/9 x + 16/3 x y - 32/3 y x + 56/9 x , + + 2 3 49 3 2 + COEFF(2, 0) = 7/3 x + 14/3 y x - 2/3 x y - -- x + 7/18 x - 4 x y, + 18 + + 2 3 2 3 + COEFF(3, 0) = - 7/18 x - 2/3 y x + 2/3 x y + 7/18 x , + + 3 2 3 2 + COEFF(-2, 1) = 5/18 x - 2/3 y x - 2/3 x y + 4/3 x y + 5/18 x - 5/9 x , + + 35 3 3 2 2 + COEFF(-1, 1) = - -- x - 20/9 x + 16/3 x y + 14/3 y x + 25/6 x - 10 x y, + 18 + + 2 2 3 3 + COEFF(0, 1) = - 70/9 x + 56/3 x y - 32/3 y x + 40/9 x + 10/3 - 8 y, + + 3 2 2 3 + COEFF(1, 1) = 32/3 y x + 20/9 x + 50/9 x - 40/3 x y - 16/3 x y - 40/9 x + + 3 2 35 3 2 + , COEFF(2, 1) = - 14/3 y x + 4 x y - 5/18 x + 2/3 x y + -- x - 5/3 x , + 18 + + 2 3 2 3 + COEFF(3, 1) = 5/18 x - 5/18 x - 2/3 x y + 2/3 y x , + + 2 2 3 3 + COEFF(-2, 2) = 1/6 x - 7/12 x y + 7/24 x y + 7/24 y x - 1/12 x - 1/12 x + + 49 3 2 3 2 + , COEFF(-1, 2) = 2/3 x - -- y x - 5/4 x + 7/12 x + 35/8 x y - 7/3 x y, + 24 + + 2 3 3 2 + COEFF(0, 2) = 7/3 x - 4/3 x + 14/3 y x + 7/2 y - 1 - 49/6 x y, + + 2 3 2 3 + COEFF(1, 2) = 35/6 x y - 2/3 x - 14/3 y x - 5/3 x + 4/3 x + 7/3 x y, + + 2 3 2 49 3 + COEFF(2, 2) = 1/2 x - 7/12 x - 7/24 x y - 7/4 x y + -- y x + 1/12 x, + 24 + + 2 2 3 3 + COEFF(3, 2) = - 1/12 x + 7/24 x y - 7/24 y x + 1/12 x , COEFF(-2, 3) = + + 3 2 2 3 + 1/72 x + 1/72 x + 1/12 x y - 1/36 x - 1/24 y x - 1/24 x y, + + 2 2 3 3 + COEFF(-1, 3) = 5/24 x - 5/8 x y + 1/3 x y - 7/72 x + 7/24 y x - 1/9 x, + + 3 2 2 3 + COEFF(0, 3) = 2/9 x - 1/2 y + 1/6 + 7/6 x y - 7/18 x - 2/3 y x , + + 2 3 3 2 + COEFF(1, 3) = 5/18 x - 1/3 x y + 2/3 y x - 2/9 x + 1/9 x - 5/6 x y, + + COEFF(2, 3) = + + 3 3 2 2 + - 7/24 y x + 1/24 x y + 7/72 x + 1/4 x y - 1/12 x - 1/72 x, + + 2 2 3 3 + COEFF(3, 3) = 1/72 x - 1/24 x y - 1/72 x + 1/24 y x ] + +> print_coeff__lc_of_data(%, "coeff_dyy_", "fp", +> "2d.coeffs/2d.cube.order3/coeff-dyy.compute.c"); +bytes used=219311180, alloc=2817532, time=20.84 +bytes used=220311540, alloc=2817532, time=20.93 +bytes used=221317140, alloc=2817532, time=21.00 +bytes used=222318056, alloc=2817532, time=21.09 +bytes used=223318784, alloc=2817532, time=21.16 +bytes used=224319112, alloc=2817532, time=21.46 +bytes used=225319448, alloc=2817532, time=21.53 +bytes used=226319712, alloc=2817532, time=21.60 +bytes used=227319908, alloc=2817532, time=21.69 +bytes used=228321432, alloc=2817532, time=21.80 +bytes used=229321648, alloc=2817532, time=21.88 +bytes used=230328080, alloc=2817532, time=22.17 +bytes used=231328304, alloc=2817532, time=22.32 +bytes used=232328460, alloc=2817532, time=22.40 +bytes used=233328780, alloc=2817532, time=22.63 +bytes used=234329004, alloc=2817532, time=22.82 +bytes used=235329172, alloc=2817532, time=22.94 +> +################################################################################ +> quit +bytes used=235372584, alloc=2817532, time=22.95 diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/2d.maple b/src/GeneralizedPolynomial-Uniform/Hermite/2d.maple new file mode 100644 index 0000000..60b7b52 --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/2d.maple @@ -0,0 +1,114 @@ +# 2d.maple -- compute Hermite interpolation coefficients in 2-D +# $Header$ + +################################################################################ + +# +# 2d, cube, polynomial order=3, derivatives via 3-point order=2 formula +# ==> overall order=2, 4-point molecule +# + +# interpolating polynomial +interp_2d_cube_order2 + := Hermite_polynomial_interpolant(fn_2d_order3, + coeff_set_2d_order3, + [x,y], + { + {x} = deriv_2d_dx_3point, + {y} = deriv_2d_dy_3point, + {x,y} = deriv_2d_dxy_3point + }, + {op(posn_list_2d_size2)}, + {op(posn_list_2d_size2)}); + +# I +coeff_as_lc_of_data(%, posn_list_2d_size4); +print_coeff__lc_of_data(%, "coeff_I_", "fp", + "2d.coeffs/2d.cube.order2/coeff-I.compute.c"); + +# d/dx +simplify( diff(interp_2d_cube_order2,x) ); +coeff_as_lc_of_data(%, posn_list_2d_size4); +print_coeff__lc_of_data(%, "coeff_dx_", "fp", + "2d.coeffs/2d.cube.order2/coeff-dx.compute.c"); + +# d/dy +simplify( diff(interp_2d_cube_order2,y) ); +coeff_as_lc_of_data(%, posn_list_2d_size4); +print_coeff__lc_of_data(%, "coeff_dy_", "fp", + "2d.coeffs/2d.cube.order2/coeff-dy.compute.c"); + +# d^2/dx^2 +simplify( diff(interp_2d_cube_order2,x,x) ); +coeff_as_lc_of_data(%, posn_list_2d_size4); +print_coeff__lc_of_data(%, "coeff_dxx_", "fp", + "2d.coeffs/2d.cube.order2/coeff-dxx.compute.c"); + +# d^2/dxdy +simplify( diff(interp_2d_cube_order2,x,y) ); +coeff_as_lc_of_data(%, posn_list_2d_size4); +print_coeff__lc_of_data(%, "coeff_dxy_", "fp", + "2d.coeffs/2d.cube.order2/coeff-dxy.compute.c"); + +# d^2/dy^2 +simplify( diff(interp_2d_cube_order2,y,y) ); +coeff_as_lc_of_data(%, posn_list_2d_size4); +print_coeff__lc_of_data(%, "coeff_dyy_", "fp", + "2d.coeffs/2d.cube.order2/coeff-dyy.compute.c"); + +################################################################################ + +# +# 2d, cube, polynomial order=3, derivatives via 5-point order=4 formula +# ==> overall order=3, 6-point molecule +# + +# interpolating polynomial +interp_2d_cube_order3 + := Hermite_polynomial_interpolant(fn_2d_order3, + coeff_set_2d_order3, + [x,y], + { + {x} = deriv_2d_dx_5point, + {y} = deriv_2d_dy_5point, + {x,y} = deriv_2d_dxy_5point + }, + {op(posn_list_2d_size2)}, + {op(posn_list_2d_size2)}); + +# I +coeff_as_lc_of_data(%, posn_list_2d_size6); +print_coeff__lc_of_data(%, "coeff_I_", "fp", + "2d.coeffs/2d.cube.order3/coeff-I.compute.c"); + +# d/dx +simplify( diff(interp_2d_cube_order3,x) ); +coeff_as_lc_of_data(%, posn_list_2d_size6); +print_coeff__lc_of_data(%, "coeff_dx_", "fp", + "2d.coeffs/2d.cube.order3/coeff-dx.compute.c"); + +# d/dy +simplify( diff(interp_2d_cube_order3,y) ); +coeff_as_lc_of_data(%, posn_list_2d_size6); +print_coeff__lc_of_data(%, "coeff_dy_", "fp", + "2d.coeffs/2d.cube.order3/coeff-dy.compute.c"); + +# d^2/dx^2 +simplify( diff(interp_2d_cube_order3,x,x) ); +coeff_as_lc_of_data(%, posn_list_2d_size6); +print_coeff__lc_of_data(%, "coeff_dxx_", "fp", + "2d.coeffs/2d.cube.order3/coeff-dxx.compute.c"); + +# d^2/dxdy +simplify( diff(interp_2d_cube_order3,x,y) ); +coeff_as_lc_of_data(%, posn_list_2d_size6); +print_coeff__lc_of_data(%, "coeff_dxy_", "fp", + "2d.coeffs/2d.cube.order3/coeff-dxy.compute.c"); + +# d^2/dy^2 +simplify( diff(interp_2d_cube_order3,y,y) ); +coeff_as_lc_of_data(%, posn_list_2d_size6); +print_coeff__lc_of_data(%, "coeff_dyy_", "fp", + "2d.coeffs/2d.cube.order3/coeff-dyy.compute.c"); + +################################################################################ diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-I.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-I.compute.c new file mode 100644 index 0000000..f3e9737 --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-I.compute.c @@ -0,0 +1,1276 @@ +fp t460, + t461, + t711, + t459, + t458, + t708, + t681, + t453, + t463, + t462, + t454, + t816, + t519, + t709, + t415, + t442, + t651, + t371, + t704, + t632, + t815, + t684, + t449, + t406, + t417, + t576, + t814, + t689, + t403, + t673, + t556, + t813, + t448, + t696, + t546, + t436, + t812, + t446, + t669, + t397, + t702, + t547, + t811, + t703, + t633, + t348, + t810, + t692, + t537, + t672, + t809, + t418, + t544, + t435, + t690, + t373, + t808, + t618, + t427, + t680, + t443, + t807, + t393, + t806, + t677, + t356, + t584, + t805, + t399, + t804, + t358, + t803, + t655, + t355, + t550, + t802, + t645, + t559, + t212, + t434, + t641, + t529, + t801, + t450, + t682, + t567, + t260, + t582, + t414, + t800, + t604, + t799, + t456, + t530, + t798, + t362, + t797, + t361, + t551, + t796, + t697, + t795, + t433, + t698, + t525, + t81, + t439, + t665, + t570, + t794, + t302, + t793, + t668, + t386, + t792, + t447, + t675, + t564, + t207, + t366, + t791, + t514, + t231, + t451, + t659, + t563, + t790, + t350, + t440, + t631, + t216, + t789, + t788, + t586, + t257, + t424, + t644, + t351, + t787, + t786, + t431, + t538, + t430, + t667, + t606, + t287, + t785, + t523, + t432, + t534, + t784, + t315, + t541, + t783, + t390, + t263, + t782, + t715, + t719, + t605, + t781, + t780, + t423, + t330, + t779, + t612, + t197, + t778, + t640, + t540, + t343, + t777, + t623, + t376, + t776, + t652, + t527, + t693, + t346, + t775, + t636, + t639, + t603, + t155, + t774, + t718, + t628, + t173, + t396, + t773, + t526, + t333, + t445, + t111, + t772, + t349, + t771, + t713, + t638, + t347, + t770, + t653, + t561, + t298, + t769, + t671, + t617, + t144, + t650, + t557, + t768, + t660, + t608, + t767, + t666, + t535, + t766, + t656, + t531, + t765, + t513, + t516, + t457, + t764, + t521, + t763, + t217, + t762, + t528, + t761, + t177, + t760, + t265, + t759, + t621, + t294, + t758, + t254, + t648, + t592, + t757, + t377, + t756, + t716, + t637, + t626, + t184, + t755, + t420, + t699, + t562, + t422, + t365, + t754, + t410, + t536, + t119, + t753, + t248, + t752, + t271, + t751, + t299, + t750, + t749, + t429, + t646, + t394, + t407, + t748, + t211, + t747, + t392, + t746, + t108, + t745, + t643, + t522, + t642, + t387, + t625, + t744, + t329, + t743, + t224, + t742, + t404, + t741, + t382, + t138, + t740, + t437, + t661, + t616, + t739, + t670, + t352, + t203, + t738, + t674, + t353, + t545, + t737, + t565, + t274, + t250, + t736, + t615, + t533, + t568, + t735, + t700, + t452, + t520, + t54, + t426, + t662, + t622, + t734, + t416, + t733, + t555, + t524, + t542, + t181, + t732, + t408, + t412, + t425, + t657, + t731, + t370, + t730, + t729, + t69, + t455, + t728, + t401, + t727, + t553, + t58, + t140, + t726, + t156, + t86, + t725, + t282, + t624, + t223, + t724, + t182, + t378, + t723, + t722, + t649, + t620, + t337, + t721, + t720, + t717, + t714, + t712, + t710, + t688, + t630, + t687, + t610, + t126, + t707, + t558, + t277, + t706, + t244, + t705, + t701, + t398, + t175, + t354, + t178, + t695, + t279, + t694, + t691, + t686, + t685, + t683, + t679, + t678, + t676, + t137, + t149, + t664, + t663, + t658, + t409, + t654, + t109, + t647, + t383, + t635, + t7, + t634, + t51, + t369, + t629, + t627, + t619, + t614, + t613, + t611, + t572, + t71, + t609, + t359, + t607, + t266, + t602, + t105, + t601, + t600, + t225, + t599, + t598, + t597, + t441, + t44, + t596, + t595, + t594, + t593, + t591, + t389, + t245, + t590, + t589, + t588, + t587, + t585, + t583, + t206, + t221, + t581, + t580, + t579, + t569, + t578, + t577, + t575, + t574, + t571, + t566, + t560, + t552, + t549, + t151, + t548, + t143, + t147, + t543, + t539, + t532, + t395, + t518, + t517, + t515, + t512, + t511, + t510, + t411, + t509, + t413, + t508, + t507, + t229, + t506, + t295, + t505, + t145, + t504, + t503, + t502, + t501, + t500, + t499, + t498, + t497, + t14, + t496, + t23, + t495, + t494, + t20, + t493, + t492, + t491, + t490, + t489, + t488, + t487, + t486, + t485, + t289, + t118, + t484, + t285, + t483, + t482, + t481, + t480, + t479, + t478, + t477, + t476, + t475, + t444, + t319, + t474, + t473, + t421, + t94, + t472, + t471, + t470, + t438, + t428, + t419, + t340, + t328, + t326, + t320, + t310, + t307, + t304, + t303, + t293, + t290, + t288, + t284, + t281, + t278, + t276, + t264, + t259, + t258, + t256, + t251, + t247, + t246, + t239, + t236, + t230, + t227, + t222, + t219, + t214, + t204, + t196, + t189, + t187, + t183, + t176, + t174, + t170, + t167, + t161, + t154, + t150, + t146, + t142, + t135, + t131, + t124, + t123, + t116, + t106, + t104, + t102, + t99, + t89, + t84, + t78, + t76, + t74, + t72, + t70, + t68, + t67, + t65, + t64, + t61, + t60, + t53, + t52, + t50; + t460 = x*x; + t461 = t460*x; + t711 = t461+x; + t459 = y*y; + t458 = y*t459; + t708 = -y-t458; + t681 = t460*t459; + t453 = z*t681; + t463 = z*z; + t462 = t463*z; + t454 = t462*t681; + t816 = t454+t453; + t519 = t708*t460; + t709 = -z-t462; + t415 = RATIONAL(15.0,8.0); + t442 = RATIONAL(-3.0,4.0); + t651 = t442*t462; + t371 = y*t651; + t704 = t460*t462; + t632 = y*t704; + t815 = t415*t632+t371; + t684 = t458*t462; + t449 = RATIONAL(9.0,4.0); + t406 = t449*t684; + t417 = RATIONAL(-45.0,8.0); + t576 = t460*t684; + t814 = t406+t417*t576; + t689 = t461*t462; + t403 = t449*t689; + t673 = t461*t459; + t556 = t462*t673; + t813 = t403+t417*t556; + t448 = RATIONAL(9.0,8.0); + t696 = t461*t458; + t546 = t448*t696; + t436 = RATIONAL(-5.0,2.0); + t812 = t463*t546+t436*t454; + t446 = RATIONAL(5.0,4.0); + t669 = t446*t459; + t397 = t463*t669; + t702 = t461*t463; + t547 = t415*t702; + t811 = t397+t459*t547; + t703 = t459*t462; + t633 = x*t703; + t348 = x*t651; + t810 = t415*t633+t348; + t692 = t460*t458; + t537 = t415*t692; + t672 = t458*t442; + t809 = (t672+t537)*z; + t418 = RATIONAL(-15.0,8.0); + t544 = t418*t703; + t435 = RATIONAL(3.0,4.0); + t690 = t435*t462; + t373 = x*t690; + t808 = t373+x*t544; + t618 = y*t702; + t427 = RATIONAL(1.0,4.0); + t680 = t461*t427; + t443 = RATIONAL(-5.0,8.0); + t807 = y*t680+t443*t618; + t393 = t458*t651; + t806 = t462*t537+t393; + t677 = t435*t461; + t356 = y*t677; + t584 = t418*t702; + t805 = y*t584+t356; + t399 = t461*t651; + t804 = t399+t415*t556; + t358 = t461*t672; + t803 = t458*t547+t358; + t655 = t435*t458; + t355 = t461*t655; + t550 = t463*t696; + t802 = t418*t550+t355; + t645 = t448*t462; + t559 = t458*t645; + t212 = x*t559; + t434 = RATIONAL(-3.0,2.0); + t641 = t463*t434; + t529 = t458*t641; + t801 = t212+x*t529; + t450 = RATIONAL(-9.0,8.0); + t682 = t450*t462; + t567 = t461*t682; + t260 = t458*t567; + t582 = t463*t681; + t414 = RATIONAL(25.0,4.0); + t800 = t414*t582+t260; + t604 = z*t673; + t799 = t418*t604+z*t677; + t456 = t463*t692; + t530 = t461*t645; + t798 = t436*t456+t459*t530; + t362 = y*t690; + t797 = t418*t632+t362; + t361 = t462*t655; + t551 = t418*t692; + t796 = t361+t462*t551; + t697 = t461*t442; + t795 = z*t697+t415*t604; + t433 = RATIONAL(-3.0,8.0); + t698 = t433*t462; + t525 = t460*t698; + t81 = t458*t525; + t439 = RATIONAL(5.0,8.0); + t665 = t463*t439; + t570 = t459*t665; + t794 = t81+t461*t570; + t302 = t433*t550; + t793 = t439*t454+t302; + t668 = t458*t427; + t386 = t462*t668; + t792 = t386+t443*t576; + t447 = RATIONAL(3.0,8.0); + t675 = t447*t462; + t564 = t458*t675; + t207 = t461*t564; + t366 = t436*t681; + t791 = t207+t463*t366; + t514 = t711*t463; + t231 = t447*t556; + t451 = RATIONAL(-5.0,4.0); + t659 = t451*t463; + t563 = t460*t659; + t790 = t458*t563+t231; + t350 = z*t680; + t440 = RATIONAL(-1.0,8.0); + t631 = z*t696; + t216 = t440*t631; + t789 = t459*t350+t216; + t788 = t711*t459; + t586 = t461*t684; + t257 = t433*t586; + t424 = RATIONAL(2.0,1.0); + t644 = t424*t459; + t351 = t460*t644; + t787 = t257+t463*t351; + t786 = t461*t668+t443*t550; + t431 = RATIONAL(1.0,2.0); + t538 = t431*t673; + t430 = RATIONAL(1.0,8.0); + t667 = t430*t462; + t606 = y*t667; + t287 = t461*t606; + t785 = t462*t538+t287; + t523 = t460*t667; + t432 = RATIONAL(-1.0,4.0); + t534 = t432*t673; + t784 = t463*t534+t458*t523; + t315 = t460*t564; + t541 = t459*t659; + t783 = t461*t541+t315; + t390 = t449*t696; + t263 = t450*t631; + t782 = t463*t390+t263; + t715 = z*t427; + t719 = t460*y; + t605 = t443*t719; + t781 = y*t715+z*t605; + t780 = t708*t463; + t423 = RATIONAL(-2.0,1.0); + t330 = t458*t530; + t779 = t423*t582+t330; + t612 = y*t689; + t197 = t447*t612; + t778 = t460*t371+t197; + t640 = t447*t461; + t540 = t463*t640; + t343 = t458*t540; + t777 = t451*t454+t343; + t623 = z*t692; + t376 = z*t668; + t776 = t376+t443*t623; + t652 = t459*t443; + t527 = t462*t652; + t693 = t427*t462; + t346 = x*t693; + t775 = x*t527+t346; + t636 = z*t719; + t639 = t440*t461; + t603 = y*t639; + t155 = z*t603; + t774 = t155+t427*t636; + t718 = x*t458; + t628 = t440*t718; + t173 = t462*t628; + t396 = x*t668; + t773 = t463*t396+t173; + t526 = t461*t641; + t333 = t458*t526; + t445 = RATIONAL(3.0,2.0); + t111 = t445*t454; + t772 = t333+t111; + t349 = t462*t680; + t771 = t349+t461*t527; + t713 = x*t459; + t638 = z*t713; + t347 = x*t715; + t770 = t443*t638+t347; + t653 = t434*t458; + t561 = t460*t653; + t298 = z*t546; + t769 = z*t561+t298; + t671 = t433*t461; + t617 = z*t671; + t144 = t458*t617; + t650 = t431*t458; + t557 = t460*t650; + t768 = t144+z*t557; + t660 = t463*t443; + t608 = x*t660; + t767 = t396+t458*t608; + t666 = t463*t430; + t535 = t458*t666; + t766 = t432*t454+t461*t535; + t656 = t460*t431; + t531 = t459*t656; + t765 = t463*t531+t257; + t513 = t709*t460; + t516 = t709*t459; + t457 = t463*t673; + t764 = t460*t559+t436*t457; + t521 = t460*t660; + t763 = t459*t521+t207; + t217 = y*t617; + t762 = t217+t431*t636; + t528 = t461*t652; + t761 = z*t528+t350; + t177 = z*t628; + t760 = t459*t347+t177; + t265 = x*t564; + t759 = t265+t459*t348; + t621 = z*t640; + t294 = t458*t621; + t758 = t294+t463*t358; + t254 = x*t606; + t648 = t431*t462; + t592 = t459*t648; + t757 = t254+x*t592; + t377 = y*t693; + t756 = t462*t605+t377; + t716 = x*t463; + t637 = y*t716; + t626 = x*t698; + t184 = y*t626; + t755 = t431*t637+t184; + t420 = RATIONAL(5.0,2.0); + t699 = t459*t463; + t562 = t420*t699; + t422 = RATIONAL(-9.0,4.0); + t365 = t422*t684; + t754 = t460*t365+t711*t562; + t410 = RATIONAL(15.0,4.0); + t536 = t434*t673; + t119 = t462*t536; + t753 = y*t563+t410*t456+t119; + t248 = t460*t361; + t752 = t459*t608+t463*t528+t248; + t271 = t460*t393; + t751 = x*t397+t271+t446*t457; + t299 = t460*t529; + t750 = t299+t804; + t749 = t451*t453+t333+t410*t454; + t429 = RATIONAL(-9.0,2.0); + t646 = t463*t436; + t394 = t459*t646; + t407 = RATIONAL(15.0,2.0); + t748 = t407*t457+x*t394+t429*t576; + t211 = t459*t526; + t747 = t211+t806; + t392 = t460*t646; + t746 = y*t392+t407*t456+t429*t556; + t108 = t434*t454; + t745 = t108+t803; + t643 = t463*t427; + t522 = t461*t643; + t642 = t432*t462; + t387 = t458*t642; + t625 = x*t643; + t744 = t460*t387+(t625+t522)*t459; + t329 = t462*t561; + t743 = t329+t410*t457+x*t541; + t224 = t463*t355; + t742 = t443*t453+t460*t527+t224; + t404 = t422*t696; + t741 = t463*t404+t816*t420; + t382 = t462*t677; + t138 = t459*t382; + t740 = t138-t708*t521; + t437 = RATIONAL(-1.0,2.0); + t661 = t460*t432; + t616 = z*t661; + t739 = t459*t616+t437*t550+t435*t454; + t670 = t446*t463; + t352 = t460*t670; + t203 = t459*t399; + t738 = t203+y*t352+t446*t456; + t674 = t432*t461; + t353 = t458*t674; + t545 = t427*t681; + t737 = z*t545+t427*t454+t463*t353; + t565 = t445*t692; + t274 = t463*t565; + t250 = t433*t612; + t736 = t274+t250+t119; + t615 = t432*t716; + t533 = t435*t673; + t568 = t437*t692; + t735 = t462*t568+t463*t533+t459*t615; + t700 = t460*t463; + t452 = y*t700; + t520 = t445*t673; + t54 = t462*t520; + t426 = RATIONAL(-3.0,1.0); + t662 = t437*t459; + t622 = x*t662; + t734 = z*t622+t452+t426*t456+t54; + t416 = RATIONAL(-15.0,4.0); + t733 = t416*t454+t366+t803; + t555 = t460*t655; + t524 = t461*t662; + t542 = t462*t639; + t181 = y*t542; + t732 = t463*t555+t432*t452+t462*t524+t181; + t408 = RATIONAL(45.0,8.0); + t412 = RATIONAL(-15.0,2.0); + t425 = RATIONAL(-5.0,1.0); + t657 = t459*t425; + t731 = t463*t657+t412*t457+t365+t408*t576; + t370 = t460*t657; + t730 = t408*t550+t370+t404+t412*t454; + t729 = t394+t416*t457+t806; + t69 = t462*t565; + t455 = x*t699; + t728 = t426*t457+t437*t636+t69+t455; + t401 = t460*t669; + t727 = t415*t454+t401+t802; + t553 = t463*t656; + t58 = t458*t553; + t140 = y*t553; + t726 = t203+t58+t140+t197; + t156 = t431*t454; + t86 = z*t531; + t725 = t156+t86+t758; + t282 = t463*t538; + t624 = t431*t713; + t223 = t463*t624; + t724 = t265+t282+t271+t223; + t182 = y*t530; + t378 = t422*t689; + t723 = t182+t459*t378-t708*t420*t700; + t722 = y*t615+t224-t816; + t649 = t433*t458; + t620 = x*t649; + t337 = t462*t620; + t721 = t337-t457-t455+y*t616+t248; + t720 = x*z; + t717 = t432*x; + t714 = y*t440; + t712 = t432*y; + t710 = t430*y; + t688 = t440*t459; + t630 = x*t688; + t687 = t430*t458; + t610 = z*t687; + t126 = x*t610; + t707 = z*t630+t126; + t558 = t461*t687; + t277 = z*t558; + t706 = t440*t604+t277; + t244 = t667*t718; + t705 = t462*t630+t244; + t701 = t458*t463; + t398 = t437*t700; + t175 = y*t398; + t354 = t460*t662; + t178 = z*t354; + t695 = t175+t178; + t279 = t462*t558; + t694 = t459*t542+t279; + t691 = t447*t458; + t686 = t430*t604+t216; + t685 = t257+t463*t401; + t683 = t460*t439; + t679 = t432*t458; + t678 = t458+t461; + t676 = t462+t461; + t137 = t463*t568; + t149 = t437*t454; + t664 = t137+t149; + t663 = t173+x*t535; + t658 = t458+t462; + t409 = RATIONAL(25.0,8.0); + t654 = t460*t409; + t109 = t460*t562; + t647 = t109+t260; + t383 = z*t717; + t635 = z*t710; + t7 = RATIONAL(27.0,8.0)*t586; + t634 = t390+t417*t550+t7; + t51 = y*t567; + t369 = y*t697; + t629 = t51+y*t547+t369; + t627 = x*t675; + t619 = x*t701; + t614 = t439*t713; + t613 = z*t683; + t611 = t462*t714; + t572 = t458*t682; + t71 = x*t572; + t609 = t415*t619+t71+x*t672; + t359 = y*t642; + t607 = y*t665; + t266 = t691*t720; + t602 = t71+t266+t445*t619; + t105 = y*t627; + t601 = t105+(t608+t427*x)*y; + t600 = t461*t544+t382+t330; + t225 = y*t621; + t599 = t51+t225+t445*t618; + t598 = t418*t619+t212+x*t655; + t597 = t298+(t551+t655)*z; + t441 = RATIONAL(9.0,2.0); + t44 = RATIONAL(-27.0,8.0)*t586; + t596 = t182+t441*t556+t44; + t595 = t330+t796; + t594 = x*t679+t439*t619+t337; + t593 = t225+t463*t369+t197; + t591 = t359+t250+t439*t632; + t389 = t463*t662; + t245 = t461*t635; + t590 = z*t534+t277+t245; + t589 = t144+t439*t604+z*t674; + t588 = t459*t642; + t587 = t460*t648; + t585 = t463*t650; + t583 = t431*t702; + t206 = z*t620; + t221 = x*t635; + t581 = t206+z*t624+t221; + t580 = t294+t260+t445*t550; + t579 = t463*t674; + t569 = t458*t683; + t578 = t144+(t679+t569)*z; + t577 = t459*t667; + t575 = t254+t244+x*t588; + t574 = y*t674+t250+t461*t607; + t571 = t265+t266+t442*t619; + t566 = t462*t614+x*t642+t337; + t560 = t460*t672; + t552 = t458*t661; + t549 = t144+z*t538+t245; + t151 = t458*t542; + t548 = t459*t349+t181+t151; + t143 = t714*t720; + t147 = x*t611; + t543 = t143+y*t625+t147; + t539 = t461*t666; + t532 = t442*t673; + t395 = t461*t642; + t518 = t426*t462+z; + t517 = t708*t427; + t515 = t426*t461+x; + t512 = t711*t427; + t511 = t426*t458+y; + t510 = t437+t669; + t411 = RATIONAL(-75.0,8.0); + t509 = t410+t411*t459; + t413 = RATIONAL(-25.0,8.0); + t508 = t446+t413*t459; + t507 = t410*t459+t434; + t229 = t433*t556; + t506 = t463*t569+t229+t763; + t295 = t463*t545; + t505 = t295+t463*t552+t151+t430*t556; + t145 = t463*t524; + t504 = t145+t315+t765; + t503 = t459*t514; + t502 = t463*t519; + t501 = t459*t513; + t500 = -t582+t207; + t499 = t653+t431*y; + t498 = t434*t461+t431*x; + t497 = t434*t462+t431*z; + t14 = RATIONAL(-10.0,1.0)*t582; + t496 = t407*t454+t14+z*t366+t263+t7+t429*t550; + t23 = RATIONAL(25.0,2.0)*t582; + t495 = t408*t556+t412*t456+t23+t378+t44+t425*t700; + t494 = t392+t416*t456+t800+t804; + t20 = t413*t582; + t493 = t352+t463*t537+t20+t600; + t492 = t460*t607+t54+t463*t551+t197+t647; + t491 = t265+x*t570+t459*t584+t69+t647; + t490 = -t460+t677+t717; + t489 = -t459+t712+t655; + t488 = t418*t454+t109+t459*t613+t580; + t487 = t432*z+t690-t463; + t486 = t354+t439*t550+t353+t442*t454+t685; + t485 = t439*t556+t395+t398+t463*t560+t685; + t289 = t463*t520; + t118 = x*t389; + t484 = t289+t337+t329+t118+t779; + t285 = t463*t354; + t483 = t287+t459*t395+t279+t285-t643*t519; + t482 = t462*t569+t463*t532+t387+t389+t685; + t481 = z*t401+t446*t454+t758+t791; + t480 = t81+t460*t635+t155+t457+t500; + t479 = t456+t430*t638+t177+t229+t500; + t478 = t302+t454+t430*t637+t147+t500; + t477 = t431+t459*t654+(t460+t459)*t451; + t476 = t431+t463*t654+(t463+t460)*t451; + t475 = t431+t409*t699+(t463+t459)*t451; + t444 = RATIONAL(3.0,1.0); + t319 = t463*t370; + t474 = t319+t330+t444*t454+t351+t184+t802+(t607+t712)*x; + t473 = z*t614+t319+t206+t444*t456+t383+t424*t700+t600; + t421 = RATIONAL(4.0,1.0); + t94 = t421*t582; + t472 = t426*t454+t437*t637+t94+t143+t453+t105+t580; + t471 = z*t712+t319+t217+y*t613+t463*t644+t444*t457+t595; + t470 = t138+t250+t459*t383-t452-t456+t221+t126+t787; + t438 = RATIONAL(-6.0,1.0); + t428 = RATIONAL(6.0,1.0); + t419 = RATIONAL(75.0,8.0); + t340 = t435*t619; + t328 = y*t583; + t326 = t441*t550; + t320 = t441*t576; + t310 = t447*t623; + t307 = x*t577; + t304 = t433*t618; + t303 = t447*t604; + t293 = t460*t359; + t290 = y*t526; + t288 = t459*t626; + t284 = t440*t576; + t281 = t440*t636; + t278 = t440*t623; + t276 = y*t579; + t264 = z*t560; + t259 = t431*t550; + t258 = t462*t557; + t256 = y*t539; + t251 = y*t587; + t247 = z*t533; + t246 = t463*t356; + t239 = t437*t619; + t236 = t460*t611; + t230 = t463*t603; + t227 = z*t568; + t222 = t458*t615; + t219 = t433*t604; + t214 = t458*t522; + t204 = t460*t610; + t196 = z*t532; + t189 = t460*t572; + t187 = t459*t373; + t183 = t434*t632; + t176 = y*t522; + t174 = t447*t619; + t170 = t460*t376; + t167 = t445*t633; + t161 = t440*t619; + t154 = t460*t386; + t150 = t459*t346; + t146 = t460*t377; + t142 = z*t555; + t135 = t437*t618; + t131 = t445*t632; + t124 = t440*t550; + t123 = t450*t550; + t116 = t447*t632; + t106 = y*t525; + t104 = t433*t619; + t102 = z*t536; + t99 = z*t565; + t89 = t433*t623; + t84 = y*t523; + t78 = t434*t633; + t76 = x*t585; + t74 = t459*t627; + t72 = t440*t637; + t70 = t460*t362; + t68 = t462*t622; + t67 = t450*t556; + t65 = t460*t406; + t64 = z*t524; + t61 = t459*t403; + t60 = z*t552; + t53 = y*t540; + t52 = t437*t632; + t50 = z*t520; + coeff_I_m1_m1_m1 = t150+t548+t170+t214+t145+t543+t664+t176+t146+t118+t582 ++t154+t695+t760+t773+t774+t789; + coeff_I_0_m1_m1 = t289+(-t516-t780)*t437+t699+t196+t481+t593+t738+t756+ +t776+t781+t792; + coeff_I_p1_m1_m1 = t246+t222+t258+t247+t223+t251+t211+t470+t575+t722+t762 ++t768; + coeff_I_p2_m1_m1 = t281+t483+t278+t276+t284+t236+t282+t590+t737; + coeff_I_m1_0_m1 = t700+t274+(t514-t513)*t437+t481+t264+t571+t751+t761+ +t770+t771+t775; + coeff_I_0_0_m1 = t494+(1.0+t678*t445)*t463-t709*(t508*t460+t510)+t729+ +t782+t795+t809; + coeff_I_p1_0_m1 = t340+t513+t498*t463+t473+t566+t741+t743+t769+t799; + coeff_I_p2_0_m1 = t310+t583-t427*t513+t485+t589+t742+t783; + coeff_I_m1_p1_m1 = t340+t142+t276+t549+t721+t581+t299+t293+t140+t722+t757 ++t785+t787; + coeff_I_0_p1_m1 = t471+t102+t246+t499*t463+t516+t591+t597+t741+t753; + coeff_I_p1_p1_m1 = t571-t423*t501+t50+t94+t68+t99+t52+t260+t728+t543+t593 ++t734+t782; + coeff_I_p2_p1_m1 = t480+t89+t64+t176+t84+t725+t732; + coeff_I_m1_p2_m1 = t222+t60+t58+t285+t694+t705+t706+t707+t737+t744; + coeff_I_0_p2_m1 = t303+t585-t427*t516+t482+t578+t742+t790; + coeff_I_p1_p2_m1 = t307+t219+t227+t479+t725+t735+t773; + coeff_I_p2_p2_m1 = t214+t204-t440*t501+t505+t686+t784; + coeff_I_m1_m1_0 = (t788-t519)*t437+t738+t111+t681+t601+t751+t759+t767+ +t778+t786+t791+t807; + coeff_I_0_m1_0 = t61+(1.0+t676*t445)*t459+t629-t708*(t437+t670+(t446+t413 +*t463)*t460)+t729+t733+t800+t815; + coeff_I_p1_m1_0 = t474+t183+t187+t519+t498*t459+t594+t723+t743+t805; + coeff_I_p2_m1_0 = t116+t538-t460*t517+t486+t574+t740+t783; + coeff_I_m1_0_0 = t494+t65+(1.0+t658*t445)*t460+t609+t711*(t508*t463+t510) ++t733+t810; + coeff_I_0_0_0 = RATIONAL(1.0,1.0)+(t461+t658)*t445+(t436+t676*t416)*t459+ +(t436+t678*t416+(t414+t419*t461)*t459)*t463+(t436+t658*t416+(t419*t462+t414)* +t459+(t414+RATIONAL(-125.0,8.0)*t459+t419*t458)*t463)*t460+t634+t813+t814; + coeff_I_p1_0_0 = (t424+t658*t444)*t460+(t509*t463+t507)*t461+t475*x+t320+ +t495+t598+t730+t808; + coeff_I_p2_0_0 = t189+(t437+t658*t442)*t460+t475*t461+t493+t727; + coeff_I_m1_p1_0 = t499*t460+t474-t788+t78+t70+t574+t598+t753+t754; + coeff_I_0_p1_0 = t23+(t424+t676*t444)*t459+(t434+t410*t463+(t410+t411* +t463)*t460)*t458+t476*y+t596+t730+t731+t797+t805; + coeff_I_p1_p1_0 = ((t428*t462+t421)*t459+t511)*t460+t14+t167+t609+t131+ +t515*t459+t601+t629+t634+t746+t748; + coeff_I_p2_p1_0 = t673+t106+t489*t460+t492+t745+t764+t807; + coeff_I_m1_p2_0 = t557+t74+t459*t512+t486+t594+t752+t790; + coeff_I_0_p2_0 = t20+t67+(t437+t676*t442)*t459+t476*t458+t595+t727+t811; + coeff_I_p1_p2_0 = t288+t692+t490*t459+t491+t745+t767+t798; + coeff_I_p2_p2_0 = t534+(t679+(t427+t675)*t459)*t460+t506+t786+t794; + coeff_I_m1_m1_p1 = t60+t328+t108+t259+t187+t86+t70+t76+t470+t590+t721+ +t755; + coeff_I_0_m1_p1 = t471+t780+t290+t497*t459+t247+t578+t723+t749+t797; + coeff_I_p1_m1_p1 = t131+t61+t196+t239-t423*t502+t472+t227+t599+t728+t759+ +t760; + coeff_I_p2_m1_p1 = t480+t106+t204+t135+t726+t739+t789; + coeff_I_m1_0_p1 = t142+t473+t497*t460-t514+t589+t749+t754+t801+t808; + coeff_I_0_0_p1 = t495+(t424+t678*t444)*t463+(t509*t460+t507)*t462+t326+ +t477*z+t597+t731+t799; + coeff_I_p1_0_p1 = t99+t496+t515*t463+((t421+t428*t458)*t463+t518)*t460+ +t602+t748+t770+t795+t810+t813; + coeff_I_p2_0_p1 = t89+t702+t487*t460+t488+t750+t761+t764; + coeff_I_m1_p1_p1 = t167+t64+t423*t503+t65+t135+t472+t264+t602+t734+t774+ +t778; + coeff_I_0_p1_p1 = t50+t518*t459+((t421+t428*t461)*t459+t511)*t463+t496+ +t599+t746+t781+t809+t814+t815; + coeff_I_p1_p1_p1 = t102+(t424*x+t438*t461)*t699+t78+((t424*z+t438*t462)* +t459+(t438*t458+t424*y+RATIONAL(8.0,1.0)*t459)*t463)*t460+t290+t320+t326+t183+ +t581+t596+t755+t762+t769+t801; + coeff_I_p2_p1_p1 = t281+t424*t457+t310+t328+t116+t189+t549+t695+t736+t772 ++t779; + coeff_I_m1_p2_p1 = t170+t239+t479+t288+t686+t724+t739; + coeff_I_0_p2_p1 = t701+t219+t487*t459+t488+t747+t776+t798; + coeff_I_p1_p2_p1 = t67+t74+t424*t456+t178+t303+t76+t484+t707+t768+t772; + coeff_I_p2_p2_p1 = t231+t278+t137+t259+(t430*z+t698)*t681+t504+t706; + coeff_I_m1_m1_p2 = t483+t230+t124+t156+t72+t161+t293+t575+t744; + coeff_I_0_m1_p2 = t592+t53-t463*t517+t482+t591+t740+t777; + coeff_I_p1_m1_p2 = t150+t52+t478+t304+t663+t726+t735; + coeff_I_p2_m1_p2 = t295+t256+t84-t440*t502+t548+t766+t784; + coeff_I_m1_0_p2 = t587+t174+t463*t512+t485+t566+t752+t777; + coeff_I_0_0_p2 = t123+(t437+t678*t442)*t463+t477*t462+t493+t796+t811; + coeff_I_p1_0_p2 = t104+t704+t490*t463+t491+t750+t775+t812; + coeff_I_p2_0_p2 = t579+(t642+(t691+t427)*t463)*t460+t763+t771+t793+t794; + coeff_I_m1_p1_p2 = t68+t478+t146+t104+t256+t724+t732; + coeff_I_0_p1_p2 = t703+t304+t489*t463+t492+t747+t756+t812; + coeff_I_p1_p1_p2 = t174+t53+t123+t424*t454+t175+t72+t251+t484+t736+t757; + coeff_I_p2_p1_p2 = t236+t149+t230+t343+(t710+t649)*t700+t504+t785; + coeff_I_m1_p2_p2 = t154+t307+t440*t503+t505+t663+t766; + coeff_I_0_p2_p2 = t588+(t679+(t427+t640)*t459)*t463+t506+t792+t793; + coeff_I_p1_p2_p2 = t161+t258+t343+t231+(t430*x+t671)*t699+t664+t705+t765; + coeff_I_p2_p2_p2 = t124+t459*t539+t284+(t577+(t688+t687)*t463)*t460+t694; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-dx.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-dx.compute.c new file mode 100644 index 0000000..68acced --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-dx.compute.c @@ -0,0 +1,1142 @@ +fp t1274, + t1441, + t1260, + t1271, + t1270, + t1422, + t1267, + t1542, + t1442, + t1263, + t1273, + t1419, + t1265, + t1541, + t1449, + t1375, + t1446, + t1372, + t1269, + t1268, + t1225, + t1272, + t1379, + t1216, + t1322, + t886, + t1540, + t1417, + t1368, + t1240, + t1254, + t1408, + t1326, + t998, + t1539, + t1237, + t1454, + t1418, + t1239, + t1380, + t1376, + t929, + t1538, + t1445, + t1253, + t1369, + t979, + t1313, + t1251, + t1537, + t1230, + t1536, + t1242, + t1378, + t1318, + t974, + t1535, + t1257, + t920, + t1448, + t1252, + t1363, + t1534, + t1331, + t1226, + t1533, + t1317, + t950, + t1425, + t1377, + t1532, + t871, + t1235, + t1429, + t1362, + t1531, + t1420, + t1261, + t1248, + t1233, + t1530, + t1247, + t1338, + t1211, + t1371, + t846, + t1529, + t1205, + t1213, + t876, + t1528, + t1243, + t1396, + t1131, + t1385, + t1323, + t1527, + t1342, + t821, + t1526, + t1200, + t1525, + t1524, + t1220, + t867, + t1212, + t1314, + t1523, + t930, + t1522, + t1159, + t1521, + t1256, + t1400, + t1370, + t1039, + t1520, + t1222, + t1327, + t1241, + t1519, + t1518, + t1426, + t1321, + t830, + t1231, + t1517, + t1394, + t1218, + t1330, + t1516, + t1196, + t1207, + t1515, + t1384, + t1514, + t1074, + t1513, + t1246, + t1392, + t1158, + t1512, + t883, + t1511, + t1510, + t1133, + t1214, + t1509, + t1508, + t1507, + t965, + t1506, + t1221, + t1405, + t1505, + t1223, + t1388, + t1142, + t1504, + t1503, + t1502, + t928, + t1501, + t1238, + t1185, + t1245, + t1409, + t1500, + t1407, + t1499, + t1249, + t1498, + t1232, + t1415, + t1118, + t1497, + t1037, + t1496, + t1183, + t1495, + t1102, + t1236, + t1406, + t1174, + t1494, + t1250, + t1414, + t1148, + t1493, + t1492, + t1184, + t1491, + t1398, + t1181, + t1447, + t1122, + t1490, + t1109, + t1134, + t1489, + t1264, + t1451, + t1152, + t1488, + t1191, + t1412, + t1487, + t1413, + t1179, + t1486, + t1177, + t1444, + t1107, + t1485, + t1188, + t1484, + t1483, + t951, + t1482, + t1197, + t1199, + t1481, + t1443, + t1095, + t1480, + t1208, + t1130, + t1479, + t1229, + t1399, + t1478, + t1170, + t1138, + t1477, + t1316, + t1393, + t1476, + t1042, + t1143, + t1475, + t1401, + t1104, + t1474, + t1473, + t1228, + t1204, + t1472, + t1471, + t1404, + t1227, + t1156, + t1470, + t1469, + t943, + t1468, + t1019, + t1450, + t1367, + t1467, + t925, + t1386, + t1105, + t1160, + t1466, + t1387, + t1465, + t955, + t1464, + t1195, + t1215, + t1202, + t1463, + t1151, + t1374, + t1462, + t987, + t1162, + t1461, + t1460, + t1459, + t1259, + t1423, + t1123, + t1458, + t1411, + t1116, + t1244, + t1457, + t1176, + t1194, + t1456, + t1258, + t1453, + t1266, + t1455, + t1452, + t1190, + t1187, + t1186, + t1224, + t1440, + t859, + t1439, + t1361, + t999, + t1438, + t1437, + t1436, + t1383, + t1325, + t898, + t1435, + t1434, + t1332, + t1035, + t1433, + t1432, + t1059, + t1364, + t1430, + t1192, + t1424, + t1048, + t1427, + t1262, + t1421, + t1416, + t1410, + t1403, + t1402, + t1091, + t1397, + t1395, + t1391, + t1390, + t1389, + t1382, + t1255, + t1381, + t1373, + t1168, + t1085, + t1365, + t1178, + t1153, + t1124, + t923, + t1360, + t986, + t1340, + t1359, + t1358, + t1357, + t1356, + t1355, + t1354, + t1353, + t1352, + t1351, + t877, + t1344, + t1350, + t1329, + t1349, + t1348, + t1347, + t1346, + t1345, + t1013, + t1343, + t1341, + t1339, + t1093, + t1129, + t1157, + t1096, + t1002, + t1337, + t1092, + t1336, + t1144, + t1335, + t1334, + t1333, + t1328, + t1324, + t1166, + t1320, + t1319, + t1180, + t1315, + t1217, + t1312, + t1311, + t1310, + t1308, + t1307, + t1306, + t942, + t1305, + t1304, + t961, + t1303, + t1301, + t1300, + t1036, + t1030, + t1299, + t1298, + t1297, + t995, + t1296, + t833, + t1295, + t1206, + t852, + t1294, + t1293, + t1210, + t875, + t1292, + t997, + t1291, + t887, + t1290, + t1289, + t1058, + t1288, + t1046, + t1287, + t1003, + t1286, + t1077, + t1285, + t1060, + t1284, + t1283, + t1282, + t1281, + t1234, + t1280, + t1279, + t1278, + t897, + t1277, + t1219, + t1209, + t1203, + t1201, + t1198, + t1167, + t1164, + t1163, + t1155, + t1149, + t1140, + t1137, + t1136, + t1128, + t1121, + t1119, + t1103, + t1098, + t1097, + t1090, + t1075, + t1072, + t1070, + t1066, + t1055, + t1052, + t1050, + t1047, + t1045, + t1040, + t1038, + t1034, + t1028, + t1025, + t1016, + t1010, + t1009, + t1008, + t1006, + t985, + t984, + t978, + t975, + t971, + t968, + t967, + t966, + t963, + t958, + t957, + t956, + t937, + t933, + t932, + t918, + t917, + t912, + t909, + t907, + t905, + t900, + t896, + t894, + t873, + t870, + t868, + t843, + t841, + t838, + t832, + t831, + t827, + t823; + t1274 = z*z; + t1441 = x*t1274; + t1260 = y*t1441; + t1271 = y*y; + t1270 = t1271*y; + t1422 = t1274*t1270; + t1267 = x*t1422; + t1542 = t1267+t1260; + t1442 = z*t1271; + t1263 = x*t1442; + t1273 = t1274*z; + t1419 = t1273*t1271; + t1265 = x*t1419; + t1541 = t1263+t1265; + t1449 = t1273+z; + t1375 = x*t1449; + t1446 = t1270+y; + t1372 = x*t1446; + t1269 = t1271*t1274; + t1268 = x*t1269; + t1225 = RATIONAL(-4.0,1.0); + t1272 = x*x; + t1379 = t1273*t1272; + t1216 = RATIONAL(27.0,8.0); + t1322 = t1216*t1379; + t886 = t1270*t1322; + t1540 = t1225*t1268+t886; + t1417 = t1271*t1272; + t1368 = z*t1417; + t1240 = RATIONAL(-3.0,2.0); + t1254 = RATIONAL(9.0,8.0); + t1408 = t1254*t1270; + t1326 = t1272*t1408; + t998 = z*t1326; + t1539 = t1240*t1368+t998; + t1237 = RATIONAL(1.0,2.0); + t1454 = x*z; + t1418 = t1237*t1454; + t1239 = RATIONAL(-3.0,8.0); + t1380 = t1239*t1272; + t1376 = z*t1380; + t929 = y*t1376; + t1538 = y*t1418+t929; + t1445 = z*t1272; + t1253 = RATIONAL(3.0,8.0); + t1369 = t1253*t1445; + t979 = t1270*t1369; + t1313 = t1272*t1422; + t1251 = RATIONAL(3.0,2.0); + t1537 = t979+t1251*t1313; + t1230 = RATIONAL(-5.0,1.0); + t1536 = t1271*t1322+t1230*t1267; + t1242 = RATIONAL(-5.0,2.0); + t1378 = t1242*t1441; + t1318 = t1254*t1417; + t974 = t1273*t1318; + t1535 = t1270*t1378+t974; + t1257 = RATIONAL(-9.0,8.0); + t920 = t1257*t1313; + t1448 = x*t1273; + t1252 = RATIONAL(5.0,4.0); + t1363 = t1252*t1448; + t1534 = t920+t1271*t1363; + t1331 = t1274*t1417; + t1226 = RATIONAL(-9.0,4.0); + t1533 = t1270*t1363+t1226*t1331; + t1317 = t1257*t1379; + t950 = t1271*t1317; + t1425 = t1274*t1252; + t1377 = x*t1425; + t1532 = t950+t1270*t1377; + t871 = y*t1322; + t1235 = RATIONAL(-9.0,2.0); + t1429 = t1274*t1272; + t1362 = y*t1429; + t1531 = t871+t1235*t1362; + t1420 = t1273*t1270; + t1261 = x*t1420; + t1248 = RATIONAL(-3.0,4.0); + t1233 = RATIONAL(1.0,4.0); + t1530 = t1248*t1331+t1233*t1261; + t1247 = RATIONAL(9.0,2.0); + t1338 = t1247*t1429; + t1211 = RATIONAL(-27.0,8.0); + t1371 = y*t1379; + t846 = t1211*t1371; + t1529 = y*t1338+t846; + t1205 = RATIONAL(-45.0,4.0); + t1213 = RATIONAL(15.0,4.0); + t876 = t1213*t1261; + t1528 = t876+t1205*t1331; + t1243 = RATIONAL(-1.0,2.0); + t1396 = t1274*t1243; + t1131 = t1270*t1396; + t1385 = t1271*t1253; + t1323 = t1272*t1385; + t1527 = t1273*t1323+x*t1131; + t1342 = t1270*t1379; + t821 = RATIONAL(-81.0,8.0)*t1342; + t1526 = t821+RATIONAL(25.0,1.0)*t1268; + t1200 = RATIONAL(45.0,4.0); + t1525 = t1200*t1261+RATIONAL(-45.0,2.0)*t1331; + t1524 = t1230*t1265+t1216*t1313; + t1220 = RATIONAL(-15.0,4.0); + t867 = t1220*t1261; + t1212 = RATIONAL(45.0,8.0); + t1314 = t1212*t1429; + t1523 = t1271*t1314+t867; + t930 = t1254*t1313; + t1522 = t930+t1242*t1265; + t1159 = t1257*t1420; + t1521 = t1247*t1261+t1159; + t1256 = RATIONAL(9.0,4.0); + t1400 = t1257*t1272; + t1370 = z*t1400; + t1039 = t1270*t1370; + t1520 = t1256*t1313+t1039; + t1222 = RATIONAL(-15.0,8.0); + t1327 = t1271*t1379; + t1241 = RATIONAL(3.0,4.0); + t1519 = t1222*t1327+t1241*t1379; + t1518 = t1235*t1313+t1039; + t1426 = t1270*t1272; + t1321 = t1211*t1426; + t830 = t1273*t1321; + t1231 = RATIONAL(8.0,1.0); + t1517 = t830+t1231*t1268; + t1394 = t1248*t1272; + t1218 = RATIONAL(15.0,8.0); + t1330 = t1218*t1417; + t1516 = (t1394+t1330)*z; + t1196 = RATIONAL(-135.0,8.0); + t1207 = RATIONAL(27.0,4.0); + t1515 = t1196*t1313+t1207*t1426; + t1384 = t1241*t1272; + t1514 = t1270*t1384+t1222*t1313; + t1074 = t1241*t1261; + t1513 = t1220*t1331+t1074; + t1246 = RATIONAL(-1.0,8.0); + t1392 = t1246*t1270; + t1158 = t1273*t1392; + t1512 = t1158+t1237*t1261; + t883 = t1216*z*t1426; + t1511 = t883+t1235*t1368; + t1510 = y*t1394+t1218*t1362; + t1133 = t1230*t1441; + t1214 = RATIONAL(-15.0,2.0); + t1509 = t1133+t1214*t1267; + t1508 = t1212*t1327+t1226*t1379; + t1507 = t1214*t1331+t1256*t1261; + t965 = t1226*t1313; + t1506 = t965+t1541; + t1221 = RATIONAL(-45.0,8.0); + t1405 = t1256*t1272; + t1505 = t1221*t1313+t1270*t1405; + t1223 = RATIONAL(5.0,2.0); + t1388 = t1223*t1271; + t1142 = x*t1388; + t1504 = t1142+t1213*t1265; + t1503 = t1207*t1379+t1196*t1327; + t1502 = -t1267+t974; + t928 = t1240*t1331; + t1501 = t1074+t928; + t1238 = RATIONAL(-1.0,4.0); + t1185 = t1238*t1273; + t1245 = RATIONAL(5.0,8.0); + t1409 = t1245*t1271; + t1500 = t1185+t1273*t1409; + t1407 = t1245*t1274; + t1499 = (t1238+t1407)*t1270; + t1249 = RATIONAL(-5.0,8.0); + t1498 = t1249*t1419+t1233*t1273; + t1232 = RATIONAL(-3.0,1.0); + t1415 = t1239*t1273; + t1118 = t1270*t1415; + t1497 = t1232*t1261+t1118; + t1037 = y*t1317; + t1496 = t1235*t1327+t1037; + t1183 = t1248*t1270; + t1495 = t1183+t1218*t1422; + t1102 = t1237*t1422; + t1236 = RATIONAL(1.0,8.0); + t1406 = t1270*t1236; + t1174 = z*t1406; + t1494 = t1102+t1174; + t1250 = RATIONAL(3.0,1.0); + t1414 = t1273*t1253; + t1148 = t1270*t1414; + t1493 = t1250*t1261+t1148; + t1492 = t1037+t1256*t1327; + t1184 = t1233*t1270; + t1491 = t1249*t1422+t1184; + t1398 = t1237*t1271; + t1181 = z*t1398; + t1447 = z*t1270; + t1122 = t1239*t1447; + t1490 = t1181+t1122; + t1109 = t1273*t1408; + t1134 = t1240*t1419; + t1489 = t1109+t1134; + t1264 = y*t1448; + t1451 = y*t1246; + t1152 = t1273*t1451; + t1488 = -t1264+t1152; + t1191 = t1241*t1270; + t1412 = t1222*t1274; + t1487 = t1191+t1270*t1412; + t1413 = t1273*t1236; + t1179 = y*t1413; + t1486 = t1264+t1179; + t1177 = y*t1415; + t1444 = y*t1274; + t1107 = t1237*t1444; + t1485 = t1177+t1107; + t1188 = t1248*t1273; + t1484 = t1218*t1419+t1188; + t1483 = t1223*t1265+t965+z*t1142; + t951 = t1247*t1313; + t1482 = t1220*t1265+t1252*t1263+t951; + t1197 = RATIONAL(-27.0,2.0); + t1199 = RATIONAL(15.0,1.0); + t1481 = t1197*t1327+y*t1133+t1199*t1267; + t1443 = x*t1271; + t1095 = t1230*t1443; + t1480 = t1197*t1313+t1199*t1265+z*t1095; + t1208 = RATIONAL(15.0,2.0); + t1130 = t1274*t1388; + t1479 = t1130+t1208*t1331+t1235*t1261; + t1229 = RATIONAL(2.0,1.0); + t1399 = t1274*t1236; + t1478 = y*t1399+t920+t1229*t1265; + t1170 = t1251*t1422; + t1138 = y*t1396; + t1477 = t1240*t1327+(t1170+t1138)*x; + t1316 = t1274*t1384; + t1393 = t1233*t1271; + t1476 = t1271*t1316+t1274*t1393+t1243*t1261; + t1042 = t1226*t1327; + t1143 = t1223*t1441; + t1475 = t1042+t1223*t1267+y*t1143; + t1401 = t1270*t1240; + t1104 = t1274*t1401; + t1474 = t1248*t1379+x*t1104+t1218*t1327; + t1473 = x*t1134+t1218*t1313+t1270*t1394; + t1228 = RATIONAL(5.0,1.0); + t1204 = RATIONAL(-27.0,4.0); + t1472 = t1204*t1327+t1542*t1228; + t1471 = t1248*t1327+(t1107+t1102)*x; + t1404 = t1238*t1271; + t1227 = RATIONAL(-2.0,1.0); + t1156 = t1227*t1441; + t1470 = z*t1404+y*t1156+t1227*t1267; + t1469 = t1204*t1313+t1541*t1228; + t943 = t1254*t1371; + t1468 = t1042+t943+t1542; + t1019 = t1247*t1327; + t1450 = x*t1270; + t1367 = t1220*t1450; + t1467 = t1019+y*t1377+t1274*t1367; + t925 = t1270*t1376; + t1386 = t1271*t1251; + t1105 = t1273*t1386; + t1160 = t1243*t1442; + t1466 = t925+t1240*t1313+(t1105+t1160)*x; + t1387 = t1242*t1271; + t1465 = t1208*t1265+t1387*t1454+t1518; + t955 = t1250*t1265; + t1464 = -t1263+t955+t1518; + t1195 = RATIONAL(135.0,8.0); + t1215 = RATIONAL(-15.0,1.0); + t1202 = RATIONAL(-10.0,1.0); + t1463 = t1202*t1441+t1215*t1267+t1195*t1327+t1204*t1379; + t1151 = z*t1392; + t1374 = t1229*t1450; + t1462 = t1274*t1374+t1151+t950+t1236*t1442; + t987 = t1247*t1331; + t1162 = t1271*t1396; + t1461 = t987+t1162+t1497; + t1460 = t1221*t1331+t1271*t1407+t1493; + t1459 = y*t1378+t1208*t1267+t1496; + t1259 = RATIONAL(-5.0,4.0); + t1423 = t1274*t1259; + t1123 = t1271*t1423; + t1458 = t1123+t1200*t1331+t1497; + t1411 = t1229*t1271; + t1116 = y*t1414; + t1244 = RATIONAL(-6.0,1.0); + t1457 = t1116+t951+t1138+t1244*t1265+t1411*t1454; + t1176 = t1227*t1443; + t1194 = t1238*y; + t1456 = z*t1176+t1274*t1194+t1227*t1265+t1520; + t1258 = RATIONAL(-9.0,1.0); + t1453 = x*y; + t1266 = z*t1453; + t1455 = -t1266+t1269+t1258*t1331+t1493; + t1452 = t1243*y; + t1190 = t1233*z; + t1187 = t1233*y; + t1186 = t1238*z; + t1224 = RATIONAL(4.0,1.0); + t1440 = t1224*x; + t859 = RATIONAL(81.0,8.0)*t1342; + t1439 = t859+t1205*t1261; + t1361 = x*t1183; + t999 = t1273*t1326; + t1438 = t1273*t1361+t999; + t1437 = t1257*t1368+t998; + t1436 = t943+t1259*t1264; + t1383 = x*t1187; + t1325 = t1239*t1379; + t898 = y*t1325; + t1435 = t1273*t1383+t898; + t1434 = t1259*t1261+t999; + t1332 = t1253*t1379; + t1035 = t1270*t1332; + t1433 = t1239*t1313+t1035; + t1432 = t1270+t1273; + t1059 = y*t1332; + t1364 = x*t1185; + t1430 = t1059+y*t1364; + t1192 = t1241*t1273; + t1424 = x*t1186; + t1048 = y*t1369; + t1427 = y*t1424+t1048; + t1262 = x*t1447; + t1421 = t1232*t1270; + t1416 = t1246*t1271; + t1410 = t1232*t1272; + t1403 = t1258*t1272; + t1402 = t1274*t1233; + t1091 = t1273*t1406; + t1397 = t1091+t1274*t1392; + t1395 = x*t1452; + t1391 = t1268-t1265; + t1390 = t1229*t1274; + t1389 = t1259*t1454; + t1382 = t1226*t1272; + t1255 = RATIONAL(9.0,1.0); + t1381 = t1255*t1272; + t1373 = t1250*t1450; + t1168 = t1271*t1440; + t1085 = t1202*t1443; + t1365 = t1213*t1450; + t1178 = y*t1405; + t1153 = z*t1384; + t1124 = z*t1405; + t923 = t1270*t1325; + t1360 = t925+t1241*t1313+t923; + t986 = t1254*y*t1445; + t1340 = t1271*t1382; + t1359 = t986+z*t1340+t998; + t1358 = t1221*t1368+t1124+t883; + t1357 = t1222*t1368+t1153+t998; + t1356 = t846+(t1382+t1314)*y; + t1355 = t886+t1505; + t1354 = t1221*t1327+t1256*t1379+t886; + t1353 = t1152+t1237*t1264+t898; + t1352 = t871+t1178+t1221*t1362; + t1351 = t830+t1270*t1382+t1212*t1313; + t877 = z*t1321; + t1344 = t1247*t1417; + t1350 = t877+t986+z*t1344; + t1329 = t1272*t1412; + t1349 = t943+(t1384+t1329)*y; + t1348 = t877+z*t1382+t1212*t1368; + t1347 = t830+t1508; + t1346 = t1240*t1261+t999+t1148; + t1345 = t1249*t1444+t1116+t1187; + t1013 = t1270*t1317; + t1343 = t1118+t1251*t1261+t1013; + t1341 = t1271*t1394; + t1339 = t1272*t1386; + t1093 = t1273*t1398; + t1129 = t1243*t1419; + t1157 = t1273*t1393; + t1096 = t1236*y*z; + t1002 = y*t1370; + t1337 = t1096+t1002+t1266; + t1092 = t1274*t1398; + t1336 = t1251*t1429; + t1144 = t1253*t1447; + t1335 = t1249*t1442+t1190+t1144; + t1334 = t1274*t1394; + t1333 = t1274*t1382; + t1328 = t1273*t1395+t1059+t1179; + t1324 = t1109+t1222*t1419+t1192; + t1166 = z*t1451; + t1320 = t1151+t1166+z*t1393; + t1319 = t1013+t1492; + t1180 = t1241*t1419; + t1315 = t1091+t1238*t1422+t1174; + t1217 = RATIONAL(25.0,4.0); + t1312 = t1217*t1271+t1242; + t1311 = t1200*t1272+t1259; + t1310 = t1217*t1274+t1242; + t1308 = t1274*t1372; + t1307 = t1405+t1238; + t1306 = t1252+t1213*t1272; + t942 = x*t1123; + t1305 = t1274*t1330+t942+t1438; + t1304 = t1240*t1272+t1243; + t961 = x*t1092; + t1303 = t961+t1253*t1313+x*t1129+t923; + t1301 = t1237+t1235*t1272; + t1300 = t1271*t1375; + t1036 = t1235*t1331; + t1030 = t1228*t1268; + t1299 = t876+t830+t1036+t1030; + t1298 = t930+t1013+t1391; + t1297 = t1233+t1384-x; + t995 = t1274*t1176; + t1296 = z*t1383+t929+t1250*t1331+t995+t1438; + t833 = RATIONAL(-20.0,1.0)*t1268; + t1295 = RATIONAL(45.0,2.0)*t1331+t1274*t1387+t859+t833+t1258*t1261+t1159; + t1206 = RATIONAL(-25.0,4.0); + t852 = t1206*t1268; + t1294 = t852+t1143+t1274*t1365+t1354; + t1293 = t1195*t1313+t1204*t1426+t1215*t1265+t1085+t1526; + t1210 = RATIONAL(25.0,2.0); + t875 = t1210*t1268; + t1292 = t1214*t1265+t1095+t875+t1351; + t997 = t1274*t1095; + t1291 = t997+t1271*t1425+t1213*t1331+t1346; + t887 = t1274*t1085; + t1290 = t1255*t1331+t887+t1002+t867+t1252*t1266+t886; + t1289 = t1274*t1404-t1261+t999+t1158+t1256*t1331+t995; + t1058 = t1251*t1331; + t1288 = t1058+t1092+t995+t1346; + t1046 = t1274*t1373; + t1287 = -t1260+t1046+t1496+t1540; + t1003 = t1232*t1265; + t1286 = t1176+t1030+t1003+t1351; + t1077 = t1232*t1267; + t1285 = t1156+t1077+t1030+t1347; + t1060 = x*t1130; + t1284 = t1271*t1389+t1259*t1265+t1060+t1013+t1520; + t1283 = t1060+t1319+t1423*t1372; + t1282 = t1035+t979+t1248*t1313-t1268+(t1093+t1181)*x; + t1281 = t1271*t1329+t1249*t1269+t1060+t1343; + t1234 = RATIONAL(6.0,1.0); + t1280 = y*t1407+t887+t1234*t1265+t1177+t1168+t1194+t1355; + t1279 = t887+t1234*t1267+z*t1409+t1186+t1274*t1440+t1122+t1354; + t1278 = t1244*t1267+t943+t1019+t1390*t1453+t1166+t1160+t1144+t1517; + t897 = t1274*t1168; + t1277 = -t1269+t1096+t1232*t1331+t1048+t897+z*t1395+t1343; + t1219 = RATIONAL(75.0,4.0); + t1209 = RATIONAL(-12.0,1.0); + t1203 = RATIONAL(-75.0,4.0); + t1201 = RATIONAL(27.0,2.0); + t1198 = RATIONAL(12.0,1.0); + t1167 = t1273*t1385; + t1164 = y*t1402; + t1163 = t1246*t1444; + t1155 = t1270*t1402; + t1149 = t1248*t1422; + t1140 = t1271*t1415; + t1137 = t1239*t1422; + t1136 = t1271*t1413; + t1128 = t1270*t1399; + t1121 = t1271*t1188; + t1119 = t1241*t1422; + t1103 = z*t1416; + t1098 = t1273*t1416; + t1097 = t1253*t1422; + t1090 = t1271*t1185; + t1075 = t1241*t1262; + t1072 = t1270*t1424; + t1070 = t1251*t1327; + t1066 = t1421*t1454; + t1055 = z*t1339; + t1052 = t1232*t1264; + t1050 = y*t1334; + t1047 = z*t1341; + t1045 = t1401*t1454; + t1040 = t1271*t1124; + t1038 = t1251*t1262; + t1034 = t1270*t1364; + t1028 = t1274*t1178; + t1025 = y*t1363; + t1016 = t1188*t1453; + t1010 = t1271*t1325; + t1009 = t1241*t1264; + t1008 = z*t1373; + t1006 = z*t1361; + t985 = t1243*t1262; + t984 = t1239*t1368; + t978 = t1252*t1262; + t975 = t1255*t1261; + t971 = z*t1318; + t968 = t1226*t1261; + t967 = t1251*t1264; + t966 = z*t1323; + t963 = t1270*t1389; + t958 = t1233*t1262; + t957 = y*t1389; + t956 = t1240*t1264; + t937 = t1239*t1362; + t933 = y*t1336; + t932 = t1254*t1362; + t918 = y*t1316; + t917 = t1257*t1362; + t912 = t1253*t1362; + t909 = t1240*t1362; + t907 = y*t1333; + t905 = t1272*t1180; + t900 = t1250*t1264; + t896 = t1270*t1418; + t894 = t1271*t1153; + t873 = z*t1365; + t870 = t1201*t1313; + t868 = z*t1367; + t843 = t1220*t1264; + t841 = t1213*t1264; + t838 = t1207*t1313; + t832 = t1211*t1327; + t831 = t1207*t1327; + t827 = t1201*t1327; + t823 = t1211*t1313; + coeff_dx_m1_m1_m1 = t918+t928+t1155+t1229*t1268+t1353+t1320+t896+t1157+ +t905+t1162+t894+t1360+t1164-t1541-t1542+t1512+t1538; + coeff_dx_0_m1_m1 = t963+t957+t997+t987+t907+t1359+t1434+t1436+t1475+t1483 +; + coeff_dx_p1_m1_m1 = t1456+t1261+t1036+t1262+t1028+t1319+t1337+t897+t1090+ +t1315+t1092+t1040+t1470+t1486; + coeff_dx_p2_m1_m1 = t1282+t1050+t1047+t1058+t1072+t1034+t1427+t1430+t1471 +; + coeff_dx_m1_0_m1 = t1304*t1274+t1045+t1046+(t1390-t1449)*x+t1291+t1149+ +t1335+t1357+t1483+t1498+t1519; + coeff_dx_0_0_m1 = t838+t875+t1338+t873+(t1223+t1206*t1271)*t1375+t1347+ +t1348+t1509+t1528; + coeff_dx_p1_0_m1 = t1279+t1066+t1301*t1274+t1227*t1375+t1119+t1358+t1458+ +t1469+t1500; + coeff_dx_p2_0_m1 = t1075+t1336+(-t1274+t1449*t1237)*x+t1284+t1474+t1513+ +t1516; + coeff_dx_m1_p1_m1 = t1055+t1093+t1050+t1038+t1260+t1077+t1070+t1277+t1119 ++t1328+t1456+t1490; + coeff_dx_0_p1_m1 = t868+t1028+t1290+t1025+t1459+t1469+t1511; + coeff_dx_p1_p1_m1 = t1225*t1300+t1278+t907+t1008+t1149+t1129+t1164+t838+ +t1350+t1455+t1488; + coeff_dx_p2_p1_m1 = t1006+t918+t1296+t1435+t1477+t1506+t1539; + coeff_dx_m1_p2_m1 = t1282+t1103+t1010+t984+t1267+t985+t1098+t1315+t1476; + coeff_dx_0_p2_m1 = t971+t978+t1284+t1533+t1535; + coeff_dx_p1_p2_m1 = t1155-t1262+t1136+t1289+t1437+t1462+t1506; + coeff_dx_p2_p2_m1 = t958+t961+t966+t1238*t1300+t1360+t1527+t1530; + coeff_dx_m1_m1_0 = t1121+t955+t956+(t1411-t1446)*x+t1304*t1271+t1291+ +t1345+t1349+t1475+t1491+t1514; + coeff_dx_0_m1_0 = t841+t831+t1344+(t1223+t1206*t1274)*t1372+t1292+t1356+ +t1528; + coeff_dx_p1_m1_0 = t1227*t1372+t1280+t1180+t1052+t1301*t1271+t1352+t1458+ +t1472+t1499; + coeff_dx_p2_m1_0 = t1009+t1339+(-t1271+t1446*t1237)*x+t1283+t1473+t1510+ +t1513; + coeff_dx_m1_0_0 = t1306*t1271+(t1229+t1432*t1250)*x+((RATIONAL(-75.0,8.0) +*t1272+RATIONAL(-25.0,8.0))*t1271+t1306)*t1274+t1292+t1304+t1484+t1495+t1508+ +t1509+t1521; + coeff_dx_0_0_0 = (t1247+RATIONAL(225.0,8.0)*t1269+(t1271+t1274)*t1205)* +t1272+(t1214*t1270+t1230+t1210*t1271+(t1214+t1219*t1271)*t1273+(t1219*t1270+ +RATIONAL(-125.0,4.0)*t1271+t1210)*t1274)*x+t1439+t1503+t1515; + coeff_dx_p1_0_0 = (t1224+t1432*t1234)*x+((RATIONAL(-225.0,8.0)*t1272+ +RATIONAL(25.0,8.0))*t1271+t1311)*t1274+t1311*t1271+t975+t1293+t1301+t1324+t1463 ++t1487; + coeff_dx_p2_0_0 = t968+(-1.0+t1432*t1240)*x+(t1220*t1271+t1251+(t1220+ +RATIONAL(75.0,8.0)*t1271)*t1274)*t1272+t1294+t1504+t1505; + coeff_dx_m1_p1_0 = t1271*t1410+t1280+(y+t1421)*x-t1271+t967+t1459+t1479+ +t1487+t1489+t1510; + coeff_dx_0_p1_0 = t1271*t1381+t827+t843+((t1208+t1203*t1274)*t1270+t1310* +y)*x+t1293+t1352+t1525; + coeff_dx_p1_p1_0 = t900+t1271*t1403+t1105+(t1244*t1270+t1229*y+(t1198* +t1273+t1231)*t1271)*x+t1271+t1295+t1345+t1356+t1481+t1495+t1515; + coeff_dx_p2_p1_0 = t1016+t1250*t1417+(t1452+t1251*t1270)*x+t1286+t1349+ +t1467+t1507; + coeff_dx_m1_p2_0 = t1167+t1450+t1297*t1271+t1281+t1473+t1499+t1535; + coeff_dx_0_p2_0 = t1340+t852+t832+t1310*t1450+t1355+t1504+t1523; + coeff_dx_p1_p2_0 = t1374+t1140+t1307*t1271+t1286+t1460+t1491+t1536; + coeff_dx_p2_p2_0 = t1341+(t1243*t1270+(t1237+t1192)*t1271)*x+t1305+t1514+ +t1532; + coeff_dx_m1_m1_p1 = t1263+t1180+t1047+t933+t1003+t985+t967+t1277+t1470+ +t1485+t1492+t1494+t1537; + coeff_dx_0_m1_p1 = t843+t1290+t978+t1040+t1465+t1472+t1531; + coeff_dx_p1_m1_p1 = t1121+t1131+t900-t1262+t831+t1320+t1225*t1308+t1359+ +t1455+t1457+t1517+t1529; + coeff_dx_p2_m1_p1 = t1296+t958+t909+t1016+t894+t1466+t1468; + coeff_dx_m1_0_p1 = t1279+t1104+(z+t1232*t1273)*x-t1274+t1274*t1410+t1038+ +t1324+t1465+t1479+t1516; + coeff_dx_0_0_p1 = t870+t1274*t1381+t868+((t1203*t1271+t1208)*t1273+t1312* +z)*x+t1358+t1463+t1525+t1526; + coeff_dx_p1_0_p1 = t1274+t1274*t1403+t1170+t1008+(t1229*z+t1244*t1273+( +t1231+t1198*t1270)*t1274)*x+t1295+t1335+t1348+t1480+t1484+t1503; + coeff_dx_p2_0_p1 = t1006+t1250*t1429+(t1251*t1273+t1243*z)*x+t1285+t1357+ +t1482+t1507; + coeff_dx_m1_p1_p1 = t1045+(t1227+t1244*t1272)*t1269+t1105+t1278+t956+ +t1170+t909+t1457+t1521+t1538+t1539; + coeff_dx_0_p1_p1 = t841+t957+t873+t833+RATIONAL(18.0,1.0)*t1331+t1350+ +t1439+t1480+t1481+t1529; + coeff_dx_p1_p1_p1 = t821+t1104+(t1229+RATIONAL(-18.0,1.0)*t1272)*t1269+ +t1066+t1337+t975+t1052+t827+((t1224*z+t1209*t1273)*t1271+(t1224*y+RATIONAL(16.0 +,1.0)*t1271+t1209*t1270)*t1274)*x+t870+t1485+t1489+t1490+t1511+t1531; + coeff_dx_p2_p1_p1 = t1009+t968+t1055+t1234*t1331+t1287+t1075+t933+t1427+ +t1464; + coeff_dx_m1_p2_p1 = t1131+t1288+t896+t966+t1140+t1462+t1466; + coeff_dx_0_p2_p1 = t963+t1299+t1437+t1482+t1536; + coeff_dx_p1_p2_p1 = t1262+t832+t971+t1167+t1103+t1224*t1267+t1461+t1464+ +t1494+t1540; + coeff_dx_p2_p2_p1 = t1268+t984+t1013+t1072+(t1188+t1190)*t1443+t1501+ +t1502+t1537; + coeff_dx_m1_m1_p2 = t937+t1163+t1090+t1328-t1391+t1397+t1433+t1471+t1476; + coeff_dx_0_m1_p2 = t1025+t932+t1283+t1522+t1533; + coeff_dx_p1_m1_p2 = t917+t1157+t1289+t1128+t1468+t1478+t1488; + coeff_dx_p2_m1_p2 = t905+t912+t1238*t1308+t1303+t1435+t1530; + coeff_dx_m1_0_p2 = t1097+t1448+t1297*t1274+t1281+t1474+t1500+t1522; + coeff_dx_0_0_p2 = t823+t1333+t1312*t1448+t1294+t1523; + coeff_dx_p1_0_p2 = t1137+t1229*t1448+t1307*t1274+t1285+t1460+t1498+t1524; + coeff_dx_p2_0_p2 = t1334+(t1243*t1273+(t1237+t1191)*t1274)*x+t1305+t1519+ +t1534; + coeff_dx_m1_p1_p2 = t912+t1288+t1137+t1129+t1353+t1477+t1478; + coeff_dx_0_p1_p2 = t917+t1299+t1436+t1467+t1524; + coeff_dx_p1_p1_p2 = t1224*t1265+t1287+t823+t1163+t1093+t932+t1097+t1461+ +t1486; + coeff_dx_p2_p1_p2 = t1070+t937+(t1187+t1183)*t1441+t1298+t1430+t1501; + coeff_dx_m1_p2_p2 = t1128+t1136+(t1246+t1380)*t1269+t1303+t1512+t1527; + coeff_dx_0_p2_p2 = t942+t1274*t1318+t1434+t1532+t1534; + coeff_dx_p1_p2_p2 = t1098+t1261+(t1236+t1400)*t1269+t1298+t1397+t1502; + coeff_dx_p2_p2_p2 = t1010+t1034+t1274*t1323+(t1157+(t1184+t1404)*t1274)*x ++t1433; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-dxx.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-dxx.compute.c new file mode 100644 index 0000000..dd88276 --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-dxx.compute.c @@ -0,0 +1,910 @@ +fp t3352, + t3354, + t3353, + t3347, + t3343, + t3456, + t3350, + t3351, + t3346, + t3453, + t3492, + t3491, + t3316, + t3345, + t3446, + t3103, + t3333, + t3433, + t3255, + t3561, + t3339, + t3420, + t3100, + t3560, + t3460, + t3311, + t3336, + t3489, + t3559, + t3342, + t3334, + t3191, + t3348, + t3422, + t3306, + t3558, + t3410, + t3329, + t3331, + t3438, + t3557, + t3269, + t3308, + t3556, + t3455, + t3183, + t3052, + t3189, + t3555, + t3478, + t3444, + t3047, + t3340, + t3474, + t3408, + t3554, + t3322, + t3176, + t3481, + t3338, + t3407, + t3114, + t3553, + t3286, + t3294, + t3552, + t3335, + t3230, + t3445, + t3151, + t3109, + t3551, + t3097, + t3319, + t3429, + t3550, + t3301, + t3026, + t3549, + t3485, + t3291, + t3411, + t3434, + t3143, + t3548, + t3447, + t3182, + t3110, + t3328, + t3477, + t3175, + t3547, + t3423, + t3019, + t3546, + t3320, + t3545, + t3451, + t3544, + t3307, + t3150, + t3543, + t3069, + t3330, + t3542, + t3049, + t3431, + t3131, + t3541, + t3540, + t3298, + t3539, + t3538, + t3537, + t3220, + t3452, + t3251, + t3055, + t3536, + t3535, + t3534, + t3293, + t3533, + t3325, + t3483, + t3532, + t3117, + t3207, + t3531, + t3409, + t3107, + t3235, + t3530, + t3299, + t3437, + t3421, + t2998, + t3529, + t3149, + t3469, + t3528, + t3066, + t3527, + t3439, + t3194, + t3300, + t3526, + t3425, + t3440, + t3054, + t3525, + t3524, + t3290, + t3523, + t3302, + t3522, + t3480, + t3417, + t3349, + t3487, + t3050, + t3521, + t3520, + t3519, + t3337, + t3518, + t3517, + t3516, + t3317, + t3278, + t3515, + t3416, + t3514, + t3513, + t3512, + t3332, + t3086, + t3511, + t3326, + t3473, + t3442, + t3185, + t3510, + t3280, + t3312, + t3509, + t3318, + t3288, + t3476, + t3140, + t3508, + t3323, + t3488, + t3324, + t3507, + t3506, + t3115, + t3313, + t3282, + t3505, + t3504, + t3472, + t3305, + t3415, + t3503, + t3283, + t3262, + t3502, + t3225, + t3501, + t3295, + t3285, + t3500, + t3499, + t3464, + t3155, + t3132, + t3498, + t3467, + t3432, + t3135, + t3497, + t3314, + t3496, + t3495, + t3430, + t3494, + t3493, + t3490, + t3344, + t3341, + t3486, + t3484, + t3482, + t3479, + t3475, + t3070, + t3471, + t3470, + t3327, + t3450, + t3099, + t3468, + t3466, + t3465, + t3463, + t3462, + t3461, + t3277, + t3459, + t3458, + t3457, + t3441, + t3053, + t3454, + t3297, + t3406, + t2999, + t3254, + t3449, + t3448, + t3118, + t3443, + t3281, + t3436, + t3204, + t3048, + t3240, + t3435, + t3428, + t3427, + t3426, + t3424, + t3419, + t3418, + t3414, + t3413, + t3412, + t3148, + t3405, + t3404, + t3403, + t3002, + t3112, + t3402, + t3038, + t3401, + t3119, + t3400, + t3399, + t3398, + t3010, + t3397, + t3396, + t3011, + t3395, + t3394, + t3126, + t3393, + t3321, + t3392, + t3391, + t3390, + t3389, + t3388, + t3242, + t3387, + t3386, + t3309, + t3384, + t3383, + t3296, + t3382, + t3287, + t3125, + t3380, + t3379, + t3226, + t3378, + t3377, + t3208, + t3376, + t3059, + t3375, + t3258, + t3374, + t3123, + t3373, + t3372, + t3371, + t3370, + t3315, + t3209, + t3369, + t3256, + t3368, + t3367, + t3366, + t3264, + t3365, + t3304, + t3130, + t3364, + t3202, + t3363, + t3362, + t3361, + t3360, + t3359, + t3358, + t3357, + t3310, + t3303, + t3292, + t3289, + t3274, + t3273, + t3272, + t3249, + t3244, + t3243, + t3237, + t3228, + t3221, + t3219, + t3216, + t3213, + t3210, + t3199, + t3195, + t3192, + t3180, + t3178, + t3173, + t3169, + t3167, + t3163, + t3161, + t3160, + t3157, + t3152, + t3147, + t3145, + t3139, + t3127, + t3121, + t3116, + t3104, + t3102, + t3095, + t3094, + t3092, + t3090, + t3084, + t3082, + t3081, + t3075, + t3071, + t3068, + t3067, + t3063, + t3061, + t3058, + t3024, + t3014, + t3006, + t3004, + t3001; + t3352 = y*y; + t3354 = z*z; + t3353 = z*t3354; + t3347 = t3352*t3353; + t3343 = t3352*z; + t3456 = t3347+t3343; + t3350 = y*t3354; + t3351 = t3352*y; + t3346 = t3351*t3354; + t3453 = t3350+t3346; + t3492 = y+t3351; + t3491 = z+t3353; + t3316 = RATIONAL(-9.0,4.0); + t3345 = y*t3353; + t3446 = x*t3345; + t3103 = t3316*t3446; + t3333 = RATIONAL(9.0,2.0); + t3433 = t3333*t3353; + t3255 = x*t3433; + t3561 = t3103+t3352*t3255; + t3339 = RATIONAL(9.0,4.0); + t3420 = x*t3347; + t3100 = t3339*t3420; + t3560 = -t3346+t3100; + t3460 = x*t3350; + t3311 = RATIONAL(-15.0,4.0); + t3336 = RATIONAL(3.0,2.0); + t3489 = x*t3336; + t3559 = y*t3489+t3311*t3460; + t3342 = t3353*t3351; + t3334 = RATIONAL(-3.0,4.0); + t3191 = t3334*t3342; + t3348 = t3352*t3354; + t3422 = x*t3348; + t3306 = RATIONAL(15.0,4.0); + t3558 = t3191+t3306*t3422; + t3410 = x*t3346; + t3329 = RATIONAL(3.0,4.0); + t3331 = RATIONAL(-1.0,2.0); + t3438 = t3331*t3353; + t3557 = t3329*t3410+t3352*t3438; + t3269 = t3339*t3342; + t3308 = RATIONAL(-15.0,1.0); + t3556 = t3269+t3308*t3422; + t3455 = t3334*t3351; + t3183 = z*t3455; + t3052 = x*t3183; + t3189 = t3336*t3346; + t3555 = t3052+x*t3189; + t3478 = x*t3351; + t3444 = z*t3478; + t3047 = t3316*t3444; + t3340 = RATIONAL(-9.0,1.0); + t3474 = t3340*x; + t3408 = t3354*t3474; + t3554 = t3351*t3408+t3047; + t3322 = RATIONAL(-3.0,1.0); + t3176 = t3322*t3342; + t3481 = x*t3354; + t3338 = RATIONAL(9.0,1.0); + t3407 = t3338*t3481; + t3114 = t3352*t3407; + t3553 = t3176+t3114; + t3286 = RATIONAL(-135.0,4.0); + t3294 = RATIONAL(27.0,2.0); + t3552 = t3294*t3478+t3286*t3410; + t3335 = RATIONAL(3.0,1.0); + t3230 = t3335*t3346; + t3445 = t3329*t3351; + t3151 = z*t3445; + t3109 = x*t3151; + t3551 = t3109+x*t3230; + t3097 = t3316*t3420; + t3319 = RATIONAL(2.0,1.0); + t3429 = t3319*t3354; + t3550 = t3351*t3429+t3097; + t3301 = RATIONAL(27.0,4.0); + t3026 = t3301*t3446; + t3549 = t3026+y*t3408; + t3485 = x*t3352; + t3291 = RATIONAL(45.0,4.0); + t3411 = t3291*t3485; + t3434 = t3351*t3311; + t3143 = t3353*t3434; + t3548 = t3354*t3411+t3143; + t3447 = t3329*t3353; + t3182 = y*t3447; + t3110 = x*t3182; + t3328 = RATIONAL(-3.0,2.0); + t3477 = t3328*x; + t3175 = y*t3477; + t3547 = t3354*t3175+t3110; + t3423 = x*t3342; + t3019 = RATIONAL(-81.0,4.0)*t3423; + t3546 = t3019+RATIONAL(25.0,1.0)*t3348; + t3320 = RATIONAL(-5.0,1.0); + t3545 = t3301*t3410+t3320*t3347; + t3451 = x*t3343; + t3544 = z*t3477+t3306*t3451; + t3307 = RATIONAL(-15.0,2.0); + t3150 = t3329*t3342; + t3543 = t3307*t3422+t3150; + t3069 = t3339*t3410; + t3330 = RATIONAL(-5.0,2.0); + t3542 = t3330*t3347+t3069; + t3049 = t3352*t3408; + t3431 = t3306*t3353; + t3131 = t3351*t3431; + t3541 = t3049+t3131; + t3540 = t3301*t3420+t3320*t3346; + t3298 = RATIONAL(-45.0,4.0); + t3539 = t3298*t3420+t3255; + t3538 = t3333*t3478+t3298*t3410; + t3537 = RATIONAL(-45.0,1.0)*t3422+t3291*t3342; + t3220 = t3336*t3347; + t3452 = t3334*t3353; + t3251 = y*t3452; + t3055 = x*t3251; + t3536 = x*t3220+t3055; + t3535 = t3306*t3460+t3175; + t3534 = t3351*t3438+t3336*t3422; + t3293 = RATIONAL(-45.0,2.0); + t3533 = t3293*t3422+t3131; + t3325 = RATIONAL(-9.0,2.0); + t3483 = x*t3325; + t3532 = t3291*t3460+y*t3483; + t3117 = t3339*t3446; + t3207 = t3353*t3483; + t3531 = t3117+t3352*t3207; + t3409 = t3335*t3481; + t3107 = t3352*t3409; + t3235 = t3328*t3342; + t3530 = t3107+t3235; + t3299 = RATIONAL(-25.0,4.0); + t3437 = t3299*t3354; + t3421 = t3301*t3478; + t2998 = t3353*t3421; + t3529 = t3352*t3437+t2998; + t3149 = t3354*t3434; + t3469 = t3336*t3351; + t3528 = (t3469+t3149)*x; + t3066 = t3316*t3410; + t3527 = t3319*t3347+t3066; + t3439 = t3335*t3353; + t3194 = t3351*t3439; + t3300 = RATIONAL(-18.0,1.0); + t3526 = t3194+t3300*t3422; + t3425 = t3336*t3485; + t3440 = x*z*t3334; + t3054 = y*t3440; + t3525 = z*t3425+t3054; + t3524 = t3047+t3333*t3410; + t3290 = RATIONAL(15.0,1.0); + t3523 = t3325*t3342+t3290*t3422; + t3302 = RATIONAL(15.0,2.0); + t3522 = t3302*t3422+t3235; + t3480 = x*t3333; + t3417 = t3352*t3480; + t3349 = y*z; + t3487 = x*t3349; + t3050 = t3316*t3487; + t3521 = z*t3417+t3050; + t3520 = t3100+t3330*t3346; + t3519 = t3340*t3342+RATIONAL(45.0,1.0)*t3422; + t3337 = RATIONAL(5.0,4.0); + t3518 = t3066+t3337*t3347; + t3517 = t3331*t3346+t3329*t3420; + t3516 = z*t3489+t3311*t3451; + t3317 = RATIONAL(-2.0,1.0); + t3278 = t3317*t3354; + t3515 = t3317*t3346+y*t3278; + t3416 = t3352*t3483; + t3514 = t3354*t3416+t3337*t3342; + t3513 = t3353*t3411+t3207; + t3512 = t3291*t3410+t3325*t3478; + t3332 = RATIONAL(-6.0,1.0); + t3086 = t3351*t3407; + t3511 = t3319*t3343+t3086+t3332*t3347; + t3326 = RATIONAL(1.0,2.0); + t3473 = t3326*y; + t3442 = t3328*t3352; + t3185 = t3353*t3442; + t3510 = x*t3185+t3326*t3346+t3354*t3473; + t3280 = t3320*t3352; + t3312 = RATIONAL(-27.0,1.0); + t3509 = t3290*t3347+t3312*t3410+z*t3280; + t3318 = RATIONAL(5.0,1.0); + t3288 = RATIONAL(-27.0,2.0); + t3476 = x*t3288; + t3140 = t3353*t3476; + t3508 = t3352*t3140+t3453*t3318; + t3323 = RATIONAL(1.0,4.0); + t3488 = t3323*z; + t3324 = RATIONAL(6.0,1.0); + t3507 = t3191+y*t3488+t3324*t3422; + t3506 = t3453+t3531; + t3115 = t3325*t3410; + t3313 = RATIONAL(5.0,2.0); + t3282 = t3313*t3352; + t3505 = t3115+t3313*t3347+z*t3282; + t3504 = t3288*t3410+t3456*t3318; + t3472 = z*t3337; + t3305 = RATIONAL(18.0,1.0); + t3415 = t3305*t3485; + t3503 = t3354*t3415+t3143+y*t3472; + t3283 = t3317*t3352; + t3262 = t3322*t3347; + t3502 = t3283+t3262+t3512; + t3225 = t3322*t3346; + t3501 = t3225+t3278+t3513; + t3295 = RATIONAL(-10.0,1.0); + t3285 = RATIONAL(135.0,4.0); + t3500 = t3140+t3308*t3346+t3285*t3420+t3295*t3354; + t3499 = t3317*t3347+z*t3283+t3524; + t3464 = t3328*t3353; + t3155 = t3328*t3346; + t3132 = t3352*t3431; + t3498 = t3155-t3354+(t3464+t3132)*x; + t3467 = t3328*t3351; + t3432 = t3306*t3351; + t3135 = t3354*t3432; + t3497 = t3185-t3352+(t3467+t3135)*x; + t3314 = RATIONAL(4.0,1.0); + t3496 = t3324*t3346+t3314*t3354+t3539; + t3495 = t3282+t3132+t3538; + t3430 = t3352*t3324; + t3494 = t3314*t3352+t3353*t3430+t3538; + t3493 = t3307*t3347+t3280+t3512; + t3490 = t3329*x; + t3344 = t3351*z; + t3341 = RATIONAL(-5.0,4.0); + t3486 = z*t3341; + t3484 = t3338*x; + t3482 = t3322*x; + t3479 = t3331*y; + t3475 = t3326*z; + t3070 = x*t3150; + t3471 = t3070+t3334*t3410; + t3470 = t3331*t3351; + t3327 = RATIONAL(-1.0,4.0); + t3450 = y*t3490; + t3099 = z*t3450; + t3468 = t3327*t3349+t3099; + t3466 = t3322*t3351; + t3465 = t3323*t3353; + t3463 = t3336*t3353; + t3462 = t3322*t3353; + t3461 = t3345+t3349; + t3277 = t3320*t3354; + t3459 = t3351+t3353; + t3458 = t3110+t3334*t3460; + t3457 = t3347-t3348; + t3441 = t3326*t3353; + t3053 = x*t3191; + t3454 = t3053+t3351*t3441; + t3297 = RATIONAL(-27.0,4.0); + t3406 = t3297*t3478; + t2999 = t3353*t3406; + t3254 = t3318*t3348; + t3449 = t2999+t3254; + t3448 = t3343-t3344; + t3118 = x*t3269; + t3443 = t3317*t3348+t3118; + t3281 = t3313*t3354; + t3436 = t3327*t3351; + t3204 = t3316*t3342; + t3048 = x*t3204; + t3240 = t3313*t3348; + t3435 = t3048+t3240; + t3428 = t3336*t3481; + t3427 = t3354*t3480; + t3426 = t3325*t3481; + t3424 = t3335*t3485; + t3419 = t3352*t3482; + t3418 = x*t3442; + t3414 = t3352*t3484; + t3413 = t3352*t3474; + t3412 = t3339*t3481; + t3148 = t3294*x*t3353; + t3405 = t3332*t3481; + t3404 = t3477+t3326; + t3403 = t3491*t3352; + t3002 = z*t3406; + t3112 = t3339*t3487; + t3402 = t3002+z*t3414+t3112; + t3038 = z*t3421; + t3401 = t3038+t3298*t3451+z*t3480; + t3119 = t3339*t3444; + t3400 = z*t3419+t3054+t3119; + t3399 = t2998+t3554; + t3398 = t3026+t3298*t3460+y*t3480; + t3010 = t3297*t3446; + t3397 = t3352*t3148+t3010+t2999; + t3396 = t3492*t3354; + t3011 = RATIONAL(81.0,4.0)*t3423; + t3395 = t3148+t3011+t3286*t3420; + t3394 = t3482+t3319; + t3126 = t3311*t3347; + t3393 = t3118+(t3463+t3126)*x; + t3321 = RATIONAL(8.0,1.0); + t3392 = t3321+t3300*x; + t3391 = t3002+(t3411+t3483)*z; + t3390 = t3117+t3353*t3414+t2999; + t3389 = z*t3413+t3038+t3050; + t3388 = t3103+t3353*t3413+t2998; + t3242 = t3352*t3439; + t3387 = z*t3416+t3112+t3119; + t3386 = t3048+t3561; + t3309 = RATIONAL(25.0,4.0); + t3384 = t3330+t3309*t3354; + t3383 = t3309*t3352+t3330; + t3296 = RATIONAL(-75.0,4.0); + t3382 = t3296*t3354+t3302; + t3287 = RATIONAL(45.0,2.0); + t3125 = t3295*t3348; + t3380 = t2998+t3125+t3176+t3287*t3422; + t3379 = t3194+t3298*t3422+t3449; + t3226 = t3336*t3342; + t3378 = t3311*t3422+t3226+t3435; + t3377 = t3354*t3417-t3342+t3443; + t3208 = t3341*t3348; + t3376 = t3097+t3337*t3346+t3118+t3208; + t3059 = t3354*t3419; + t3375 = t3059+t3048+t3348+t3150; + t3258 = t3326*t3348; + t3374 = t3323*t3342+t3354*t3418+t3053+t3258; + t3123 = RATIONAL(-20.0,1.0)*t3348; + t3373 = t3290*t3346+t3123+y*t3277+t3010+t3011+t3312*t3420; + t3372 = t3240+t3386+t3453*t3341; + t3371 = t3135+t3281+t3529+t3539; + t3370 = t3331*t3343+x*t3225+t3220+t3052+t3443; + t3315 = RATIONAL(-4.0,1.0); + t3209 = t3315*t3348; + t3369 = t3230-t3350+t3209+t3388; + t3256 = t3314*t3348; + t3368 = t3256+t3048+z*t3479+t3226+t3099+t3352*t3405; + t3367 = t3295*t3352+t3351*t3476+t3285*t3410+t3308*t3347+t3546; + t3366 = t3337*t3350+t3149+t3254+t3390; + t3264 = t3320*t3348; + t3365 = t3313*t3346+t3264+t3118+y*t3281+t3531; + t3304 = RATIONAL(25.0,2.0); + t3130 = t3304*t3348; + t3364 = t3277+t3307*t3346+t3130+t2999+t3513; + t3202 = t3321*t3348; + t3363 = y*t3429+t3332*t3346+t3202+t3390; + t3362 = t3435+t3524+t3456*t3341; + t3361 = x*t3155+t3070+t3109-t3348+(t3441+t3475)*t3352; + t3360 = t3330*t3350+t3302*t3346+t3125+t3388; + t3359 = t3352*t3472+t3086+t3119+t3126+t3449; + t3358 = x*t3262+t3331*t3350+t3055+t3189+t3443; + t3357 = t3330*t3343+t3302*t3347+t3125+t3399; + t3310 = RATIONAL(75.0,4.0); + t3303 = RATIONAL(-12.0,1.0); + t3292 = RATIONAL(27.0,1.0); + t3289 = RATIONAL(12.0,1.0); + t3274 = t3341*t3345; + t3273 = t3351*t3486; + t3272 = t3341*t3342; + t3249 = t3351*t3488; + t3244 = z*t3436; + t3243 = y*t3464; + t3237 = t3327*t3345; + t3228 = z*t3467; + t3221 = z*t3469; + t3219 = y*t3438; + t3216 = t3338*t3342; + t3213 = t3353*t3436; + t3210 = t3337*t3345; + t3199 = t3335*t3344; + t3195 = y*t3465; + t3192 = y*t3463; + t3180 = y*t3462; + t3178 = z*t3470; + t3173 = t3351*t3472; + t3169 = z*t3473; + t3167 = y*t3439; + t3163 = z*t3466; + t3161 = t3351*t3475; + t3160 = y*t3441; + t3157 = y*t3486; + t3152 = t3351*t3433; + t3147 = y*t3431; + t3145 = t3298*t3342; + t3139 = z*t3434; + t3127 = t3311*t3345; + t3121 = z*t3432; + t3116 = y*t3426; + t3104 = z*t3424; + t3102 = y*t3427; + t3095 = x*t3242; + t3094 = t3316*t3451; + t3092 = z*t3418; + t3090 = t3329*t3451; + t3084 = t3339*t3451; + t3082 = t3334*t3420; + t3081 = y*t3409; + t3075 = y*t3407; + t3071 = t3322*t3460; + t3068 = y*t3412; + t3067 = t3316*t3460; + t3063 = t3354*t3450; + t3061 = t3352*t3440; + t3058 = y*t3428; + t3024 = t3297*t3420; + t3014 = t3292*t3420; + t3006 = t3292*t3410; + t3004 = t3354*t3406; + t3001 = t3294*t3410; + coeff_dxx_m1_m1_m1 = t3352*t3429+t3169+t3161+t3160+t3059+t3058-t3453+ +t3454-t3456+t3525+t3536+t3555; + coeff_dxx_0_m1_m1 = t3365+t3272+t3273+t3116+t3274+t3114+t3157+t3387+t3505 +; + coeff_dxx_p1_m1_m1 = t3102+t3342+t3344+t3256+t3049+t3386+t3461+t3499+ +t3515+t3521; + coeff_dxx_p2_m1_m1 = t3237+t3244+t3213+t3361+t3092+t3107+t3468+t3510+ +t3547; + coeff_dxx_m1_0_m1 = t3119+t3230+t3228+t3264+t3394*t3354+t3393-t3491+t3505 ++t3516+t3522; + coeff_dxx_0_0_m1 = t3001+t3407+t3121+t3364+t3391+t3491*(t3299*t3352+t3313 +)+t3533; + coeff_dxx_p1_0_m1 = t3408+t3163+t3491*t3317+t3380+t3401+t3496+t3504; + coeff_dxx_p2_0_m1 = t3151+t3409+t3491*t3326+t3362+t3498+t3543+t3544; + coeff_dxx_m1_p1_m1 = t3219+t3350+t3225+t3368+t3221+t3104+t3095+t3499+ +t3547; + coeff_dxx_0_p1_m1 = t3139+t3102+t3360+t3210+t3389+t3503+t3504; + coeff_dxx_p1_p1_m1 = t3001+t3116+t3199+t3315*t3403+t3363+t3402-t3461+ +t3526; + coeff_dxx_p2_p1_m1 = t3115+t3195+t3058+t3358+t3183+t3400+t3456+t3507; + coeff_dxx_m1_p2_m1 = t3061+t3082+t3178+t3346+t3361+t3534; + coeff_dxx_0_p2_m1 = t3084+t3173+t3362+t3514+t3520; + coeff_dxx_p1_p2_m1 = t3115+t3347+t3094+t3119+t3377+t3448+t3550; + coeff_dxx_p2_p2_m1 = t3090+t3249+t3327*t3403+t3374+t3517+t3555; + coeff_dxx_m1_m1_0 = t3242+t3243+t3394*t3352+t3365-t3492+t3522+t3528+t3559 +; + coeff_dxx_0_m1_0 = t3147+t3130+t3414+t3397+t3492*(t3313+t3437)+t3493+ +t3532+t3533; + coeff_dxx_p1_m1_0 = t3180+t3413+t3492*t3317+t3380+t3398+t3494+t3508; + coeff_dxx_p2_m1_0 = t3182+t3424+t3492*t3326+t3372+t3497+t3535+t3543; + coeff_dxx_m1_0_0 = t3319+t3152+t3459*t3335+(t3302*t3354+t3322+t3382*t3352 +)*x+t3364+t3493; + coeff_dxx_0_0_0 = t3320+t3145+t3484+t3459*t3307+(t3293*x+t3304+t3310* +t3351)*t3354+(t3310*t3353+RATIONAL(-125.0,4.0)*t3354+t3304+(t3293+RATIONAL( +225.0,4.0)*t3354)*x)*t3352+t3395+t3552; + coeff_dxx_p1_0_0 = t3216+t3314+t3459*t3324+(t3340+RATIONAL(-225.0,4.0)* +t3348+(t3354+t3352)*t3287)*x+t3367+t3500; + coeff_dxx_p2_0_0 = t3204+RATIONAL(-1.0,1.0)+t3459*t3328+(t3307*t3354+ +t3335+(t3310*t3354+t3307)*t3352)*x+t3371+t3495; + coeff_dxx_m1_p1_0 = t3360+y+t3466+t3332*t3485+t3192+t3494+t3523+t3535; + coeff_dxx_0_p1_0 = t3415+t3014+t3127+t3382*t3351+t3384*y+t3367+t3398+ +t3537; + coeff_dxx_p1_p1_0 = t3167+t3319*y+t3332*t3351+(t3289*t3353+t3392)*t3352+ +t3373+t3519+t3532+t3552; + coeff_dxx_p2_p1_0 = t3469+x*t3430+t3366+t3251+t3479+t3502+t3556+t3559; + coeff_dxx_m1_p2_0 = t3425+t3351+t3378+t3497+t3520; + coeff_dxx_0_p2_0 = t3024+t3416+t3384*t3351+t3495+t3529+t3548; + coeff_dxx_p1_p2_0 = t3319*t3351+t3417+t3379+t3502+t3540; + coeff_dxx_p2_p2_0 = t3470+(t3447+t3404)*t3352+t3376+t3528+t3558; + coeff_dxx_m1_m1_p1 = t3178+t3081+t3262+t3368+t3192+t3343+t3092+t3515+ +t3551+t3561; + coeff_dxx_0_m1_p1 = t3127+t3357+t3173+t3503+t3508+t3521+t3549; + coeff_dxx_p1_m1_p1 = t3202+t3167-t3349-t3344+t3075+t3315*t3396+t3387+ +t3397+t3511+t3526; + coeff_dxx_p2_m1_p1 = t3249+t3251+t3071+t3370+t3506+t3507+t3525; + coeff_dxx_m1_0_p1 = z+t3462+t3357+t3221+t3405+t3496+t3523+t3544; + coeff_dxx_0_0_p1 = t3006+t3139+t3305*t3481+(t3302+t3296*t3352)*t3353+ +t3383*z+t3401+t3500+t3537+t3546; + coeff_dxx_p1_0_p1 = t3319*z+t3199+t3332*t3353+t3123+(t3289*t3351+t3392)* +t3354+t3391+t3395+t3509+t3519; + coeff_dxx_p2_0_p1 = t3359+t3463+t3324*t3481+t3331*z+t3183+t3501+t3516+ +t3556; + coeff_dxx_m1_p1_p1 = t3243+t3152+t3303*t3422+t3363+t3071+t3169+t3228+ +t3400+t3511; + coeff_dxx_0_p1_p1 = RATIONAL(36.0,1.0)*t3422+t3145+t3121+t3075+t3147+ +t3157+t3373+t3402+t3509; + coeff_dxx_p1_p1_p1 = t3349+t3006+t3163+t3216+t3014+t3019+t3180+(t3314*y+ +t3303*t3351)*t3354+(t3303*t3353+t3314*z+(RATIONAL(-36.0,1.0)*x+RATIONAL(16.0, +1.0))*t3354)*t3352+t3389+t3549; + coeff_dxx_p2_p1_p1 = t3204+t3081+t3289*t3422-t3343+t3369+t3104+t3182+ +t3242+t3151+t3468+t3554; + coeff_dxx_m1_p2_p1 = t3161+t3090+t3370+t3530+t3550; + coeff_dxx_0_p2_p1 = t3273+t3094+t3359+t3540+t3541; + coeff_dxx_p1_p2_p1 = t3314*t3346+t3024+t3084+t3242+t3209+t3399-t3448+ +t3553; + coeff_dxx_p2_p2_p1 = t3244+t3061+(t3452+t3488)*t3352+t3375+t3551+t3560; + coeff_dxx_m1_m1_p2 = t3219+t3457+t3458+t3471+t3510+t3534; + coeff_dxx_0_m1_p2 = t3210+t3068+t3372+t3514+t3542; + coeff_dxx_p1_m1_p2 = -t3345+t3067+t3377+t3506+t3527; + coeff_dxx_p2_m1_p2 = t3063+t3195+t3327*t3396+t3374+t3536+t3557; + coeff_dxx_m1_0_p2 = t3428+t3353+t3378+t3498+t3542; + coeff_dxx_0_0_p2 = t3004+t3426+t3383*t3353+t3371+t3548; + coeff_dxx_p1_0_p2 = t3427+t3319*t3353+t3379+t3501+t3545; + coeff_dxx_p2_0_p2 = t3208+t3438+(t3445+t3404)*t3354+t3393+t3518+t3558; + coeff_dxx_m1_p1_p2 = t3160+t3063+t3358+t3527+t3530; + coeff_dxx_0_p1_p2 = t3274+t3067+t3366+t3541+t3545; + coeff_dxx_p1_p1_p2 = t3345+t3068+t3004+t3314*t3347+t3369+t3553; + coeff_dxx_p2_p1_p2 = t3095+t3237+t3069-t3347+(t3455+t3323*y)*t3354+t3375+ +t3458; + coeff_dxx_m1_p2_p2 = t3334*t3422+t3258+t3454+t3517+t3557; + coeff_dxx_0_p2_p2 = t3352*t3412+t3272+t3376+t3518; + coeff_dxx_p1_p2_p2 = t3048+t3316*t3422+t3342+t3069-t3457+t3560; + coeff_dxx_p2_p2_p2 = t3082+t3213+t3323*t3346+(t3465+(t3490+t3327)*t3354)* +t3352+t3471; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-dxy.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-dxy.compute.c new file mode 100644 index 0000000..0e19c17 --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-dxy.compute.c @@ -0,0 +1,1122 @@ +fp t4169, + t4008, + t4018, + t4017, + t4011, + t4007, + t4246, + t3998, + t4154, + t3834, + t4245, + t3986, + t4144, + t4015, + t3972, + t3908, + t3881, + t4244, + t4016, + t4103, + t4079, + t3974, + t3720, + t3960, + t4163, + t4078, + t4243, + t4105, + t3944, + t3782, + t3934, + t4057, + t3631, + t4242, + t4003, + t4150, + t3953, + t3794, + t4241, + t3995, + t4125, + t3877, + t3789, + t4240, + t3932, + t3662, + t3935, + t4100, + t4239, + t4004, + t4098, + t3746, + t4238, + t4129, + t4084, + t3899, + t4083, + t3757, + t3961, + t4237, + t4000, + t3849, + t3984, + t4236, + t3962, + t4157, + t4101, + t4235, + t4234, + t4159, + t4086, + t3958, + t4061, + t3632, + t4233, + t3723, + t4232, + t3931, + t3922, + t4231, + t4230, + t3988, + t4117, + t3878, + t3989, + t4229, + t4082, + t3661, + t4228, + t4148, + t3863, + t4002, + t4095, + t4227, + t3996, + t3902, + t3941, + t4226, + t4225, + t3796, + t4077, + t3959, + t3663, + t4224, + t3837, + t4223, + t3937, + t4055, + t3646, + t4014, + t4006, + t4222, + t4097, + t3875, + t4221, + t3906, + t4220, + t3978, + t3579, + t4219, + t3977, + t4104, + t3895, + t3626, + t4218, + t3982, + t3905, + t4012, + t4217, + t3774, + t3799, + t4216, + t4124, + t3827, + t4215, + t3940, + t3617, + t4214, + t3993, + t4132, + t3846, + t4131, + t3810, + t4213, + t3900, + t4212, + t4119, + t3806, + t3985, + t4108, + t3887, + t4211, + t3951, + t4060, + t4210, + t3777, + t4209, + t4112, + t3843, + t3841, + t4208, + t4065, + t3939, + t3786, + t4207, + t3963, + t4206, + t3733, + t4205, + t3658, + t3964, + t4204, + t4166, + t4122, + t3871, + t4203, + t3912, + t4202, + t4081, + t3640, + t4201, + t3981, + t4001, + t3911, + t4200, + t3892, + t4199, + t4160, + t3840, + t3816, + t4198, + t4102, + t3831, + t4106, + t3812, + t4197, + t3809, + t4196, + t4152, + t3930, + t3968, + t4195, + t3926, + t3976, + t4116, + t3928, + t4194, + t4193, + t3997, + t4091, + t3737, + t4192, + t3980, + t4143, + t3829, + t3992, + t3920, + t4191, + t3866, + t4190, + t3876, + t3604, + t4189, + t4188, + t3773, + t4187, + t3759, + t3745, + t4186, + t3943, + t4185, + t4184, + t3956, + t3999, + t4164, + t4183, + t3973, + t3857, + t3987, + t4182, + t4096, + t4181, + t4137, + t3859, + t4180, + t3991, + t4113, + t3845, + t3925, + t4179, + t4178, + t3994, + t3702, + t4177, + t4156, + t3801, + t3676, + t4176, + t3946, + t3970, + t4146, + t4175, + t3730, + t3739, + t4174, + t3680, + t4173, + t4118, + t3790, + t3975, + t3813, + t3865, + t4172, + t4155, + t4092, + t3748, + t4165, + t4147, + t3822, + t4171, + t3971, + t4162, + t3948, + t3936, + t3588, + t3916, + t4013, + t4170, + t4168, + t4167, + t4010, + t4005, + t4161, + t3572, + t4158, + t4134, + t3824, + t4153, + t4136, + t3828, + t4151, + t4149, + t4145, + t4142, + t4111, + t4141, + t4128, + t3855, + t3766, + t4140, + t3769, + t3681, + t4139, + t3967, + t4138, + t4135, + t3787, + t3873, + t4133, + t3884, + t4130, + t4127, + t4126, + t3577, + t4123, + t4009, + t4121, + t4120, + t3910, + t3901, + t4080, + t4115, + t4114, + t4110, + t4109, + t4107, + t3791, + t4099, + t4094, + t3983, + t4093, + t4090, + t4089, + t4088, + t4087, + t4085, + t3781, + t3847, + t3852, + t3918, + t3898, + t4076, + t3783, + t4075, + t3792, + t4074, + t4073, + t4072, + t4071, + t4070, + t4069, + t3653, + t3565, + t4068, + t3569, + t4067, + t4066, + t4064, + t4063, + t3793, + t4062, + t3883, + t3885, + t3839, + t3858, + t4059, + t3706, + t4058, + t4056, + t4054, + t4053, + t3903, + t4052, + t4051, + t4050, + t4049, + t4048, + t4047, + t4046, + t4045, + t4044, + t3687, + t4043, + t3693, + t4042, + t4041, + t3754, + t4040, + t3635, + t4039, + t4038, + t3743, + t4037, + t3947, + t3649, + t4036, + t3603, + t4035, + t4034, + t3990, + t3713, + t3705, + t3697, + t4033, + t3957, + t3620, + t4032, + t4031, + t4030, + t4029, + t3600, + t4028, + t4027, + t3760, + t4026, + t4025, + t4024, + t4023, + t3927, + t3979, + t4022, + t3673, + t4021, + t3950, + t3645, + t4020, + t3969, + t3954, + t3952, + t3933, + t3923, + t3919, + t3891, + t3890, + t3879, + t3868, + t3862, + t3861, + t3854, + t3851, + t3850, + t3844, + t3835, + t3825, + t3818, + t3817, + t3815, + t3808, + t3800, + t3798, + t3797, + t3795, + t3788, + t3779, + t3768, + t3767, + t3765, + t3762, + t3758, + t3749, + t3747, + t3741, + t3738, + t3735, + t3731, + t3727, + t3726, + t3724, + t3721, + t3719, + t3716, + t3714, + t3712, + t3711, + t3703, + t3701, + t3692, + t3691, + t3678, + t3677, + t3675, + t3672, + t3669, + t3668, + t3659, + t3652, + t3643, + t3642, + t3637, + t3630, + t3629, + t3622, + t3621, + t3609, + t3608, + t3590, + t3585, + t3573, + t3571, + t3570; + t4169 = x*y; + t4008 = z*t4169; + t4018 = z*z; + t4017 = t4018*z; + t4011 = y*t4017; + t4007 = x*t4011; + t4246 = t4007+t4008; + t3998 = RATIONAL(3.0,2.0); + t4154 = t3998*t4017; + t3834 = y*t4154; + t4245 = y+t3834; + t3986 = RATIONAL(1.0,2.0); + t4144 = t3986*t4017; + t4015 = y*y; + t3972 = RATIONAL(-3.0,8.0); + t3908 = t3972*t4017; + t3881 = t4015*t3908; + t4244 = y*t4144+t3881; + t4016 = x*x; + t4103 = t4016*t4017; + t4079 = y*t4103; + t3974 = RATIONAL(-9.0,4.0); + t3720 = t3974*t4079; + t3960 = RATIONAL(15.0,4.0); + t4163 = x*t4015; + t4078 = t3960*t4163; + t4243 = t4018*t4078+t3720; + t4105 = t4015*t4016; + t3944 = RATIONAL(27.0,4.0); + t3782 = t3944*t4105; + t3934 = RATIONAL(-27.0,8.0); + t4057 = t3934*t4105; + t3631 = z*t4057; + t4242 = t4018*t3782+t3631; + t4003 = RATIONAL(9.0,4.0); + t4150 = t4015*t4018; + t3953 = RATIONAL(-45.0,8.0); + t3794 = t3953*t4150; + t4241 = t4016*t3794+t4003*t4105; + t3995 = RATIONAL(9.0,2.0); + t4125 = t4018*t3995; + t3877 = t4016*t4125; + t3789 = t3934*t4103; + t4240 = t3877+t3789; + t3932 = RATIONAL(45.0,4.0); + t3662 = t3932*t4079; + t3935 = RATIONAL(-45.0,2.0); + t4100 = x*t4150; + t4239 = t3662+t3935*t4100; + t4004 = RATIONAL(-9.0,1.0); + t4098 = t4004*t4163; + t3746 = t4018*t4098; + t4238 = t3662+t3746; + t4129 = t4016*t4018; + t4084 = y*t4129; + t3899 = t4003*t4015; + t4083 = x*t3899; + t3757 = t4017*t4083; + t3961 = RATIONAL(-15.0,2.0); + t4237 = t3757+t3961*t4084; + t4000 = RATIONAL(9.0,8.0); + t3849 = t4000*t4103; + t3984 = RATIONAL(-9.0,2.0); + t4236 = t3984*t4079+t3849; + t3962 = RATIONAL(-15.0,1.0); + t4157 = t4015*t4017; + t4101 = x*t4157; + t4235 = t3944*t4101+t3962*t4084; + t4234 = t3944*t4079+t3962*t4100; + t4159 = y*t4016; + t4086 = t3984*t4159; + t3958 = RATIONAL(27.0,8.0); + t4061 = t3958*t4105; + t3632 = z*t4061; + t4233 = t3632+z*t4086; + t3723 = t4003*t4079; + t4232 = t3961*t4100+t3723; + t3931 = RATIONAL(-45.0,1.0); + t3922 = RATIONAL(135.0,4.0); + t4231 = t3931*t4084+t3922*t4101; + t4230 = t3931*t4100+t3922*t4079; + t3988 = RATIONAL(-3.0,2.0); + t4117 = t3988*t4015; + t3878 = t4018*t4117; + t3989 = RATIONAL(3.0,4.0); + t4229 = x*t3878+t3989*t4079; + t4082 = t3932*t4163; + t3661 = t4017*t4082; + t4228 = t3661+t3935*t4084; + t4148 = t4015*t4000; + t3863 = z*t4148; + t4002 = RATIONAL(9.0,1.0); + t4095 = t4002*t4163; + t4227 = t3863+z*t4095; + t3996 = RATIONAL(-3.0,4.0); + t3902 = t3996*t4016; + t3941 = RATIONAL(15.0,8.0); + t4226 = t3902+t3941*t4129; + t4225 = t4002*t4079+t3849; + t3796 = RATIONAL(81.0,4.0)*t4105; + t4077 = z*t4105; + t3959 = RATIONAL(-81.0,8.0); + t3663 = t3959*t4077; + t4224 = t3663+t4018*t3796; + t3837 = t3972*t4103; + t4223 = x*t4144+t3837; + t3937 = RATIONAL(-10.0,1.0); + t4055 = t4015*t4103; + t3646 = t3958*t4055; + t4014 = y*t4018; + t4006 = x*t4014; + t4222 = t3937*t4006+t3646; + t4097 = t3984*t4163; + t3875 = t4017*t4148; + t4221 = t4017*t4097+t3875; + t3906 = t3996*t4015; + t4220 = t3941*t4150+t3906; + t3978 = RATIONAL(-5.0,1.0); + t3579 = t4018*t4061; + t4219 = t3978*t4007+t3579; + t3977 = RATIONAL(2.0,1.0); + t4104 = t3977*t4018; + t3895 = x*t4104; + t3626 = t3934*t4055; + t4218 = y*t3895+t3626; + t3982 = RATIONAL(1.0,8.0); + t3905 = t3982*z; + t4012 = y*z; + t4217 = t3905+t4012; + t3774 = t4000*t4077; + t3799 = t4015*t4125; + t4216 = t3774+t4016*t3799; + t4124 = t4018*t3984; + t3827 = t4015*t4124; + t4215 = x*t3827+t3960*t4079; + t3940 = RATIONAL(-45.0,4.0); + t3617 = t3940*t4079; + t4214 = t4018*t4082+t3617; + t3993 = RATIONAL(-9.0,8.0); + t4132 = t3993*t4015; + t3846 = t4017*t4132; + t4131 = t3998*t4015; + t3810 = t4018*t4131; + t4213 = t3846+t3810; + t3900 = t3986*t4018; + t4212 = t3900+t3908; + t4119 = t3998*t4016; + t3806 = t4018*t4119; + t3985 = RATIONAL(3.0,8.0); + t4108 = t4016*t3985; + t3887 = z*t4108; + t4211 = t3806+t3887; + t3951 = RATIONAL(81.0,8.0); + t4060 = t3951*t4105; + t4210 = t3937*t4007+t4018*t4060; + t3777 = t3934*t4157; + t4209 = t3799+t3777; + t4112 = t4003*t4018; + t3843 = t4015*t4112; + t3841 = z*t4132; + t4208 = t3843+t3841; + t4065 = t4018*t4105; + t3939 = RATIONAL(-27.0,4.0); + t3786 = t3939*t4105; + t4207 = RATIONAL(135.0,8.0)*t4065+t3786; + t3963 = RATIONAL(-15.0,8.0); + t4206 = t3989*t4016+t3963*t4129; + t3733 = t4004*t4084; + t4205 = t3733+t3661; + t3658 = t3959*t4055; + t3964 = RATIONAL(25.0,1.0); + t4204 = t3658+t3964*t4006; + t4166 = t3986*z; + t4122 = t3972*t4015; + t3871 = z*t4122; + t4203 = y*t4166+t3871; + t3912 = t3989*t4015; + t4202 = t3912+t3963*t4150; + t4081 = t3940*t4163; + t3640 = t4017*t4081; + t4201 = t3932*t4084+t3640; + t3981 = RATIONAL(1.0,4.0); + t4001 = RATIONAL(-1.0,8.0); + t3911 = t4001*t4017; + t4200 = t3981*t4018+t3911; + t3892 = t4016*t4124; + t4199 = y*t3892+t4017*t4078; + t4160 = z*t4016; + t3840 = t3993*t4160; + t3816 = t4016*t4112; + t4198 = t3840+t3816; + t4102 = t3988*t4016; + t3831 = t4018*t4102; + t4106 = t3989*t4017; + t3812 = x*t4106; + t4197 = t4015*t3812+y*t3831; + t3809 = t3993*t4103; + t4196 = t3809+t4004*t4079; + t4152 = t3978*t4018; + t3930 = RATIONAL(45.0,1.0); + t3968 = RATIONAL(-27.0,1.0); + t4195 = x*t4152+t3930*t4100+t3968*t4079; + t3926 = RATIONAL(-27.0,2.0); + t3976 = RATIONAL(5.0,1.0); + t4116 = t3976*t4018; + t3928 = RATIONAL(15.0,1.0); + t4194 = t3928*t4100+t3926*t4079+x*t4116; + t4193 = t3968*t4101+y*t4152+t3930*t4084; + t3997 = RATIONAL(3.0,1.0); + t4091 = t3997*t4163; + t3737 = t4018*t4091; + t4192 = t3737+t4236; + t3980 = RATIONAL(-3.0,1.0); + t4143 = t3980*t4017; + t3829 = x*t4143; + t3992 = RATIONAL(-1.0,2.0); + t3920 = t3992*t4018; + t4191 = t4015*t3829+(t3920+t3877)*y; + t3866 = y*t4116; + t4190 = t3866+t3926*t4101+t3928*t4084; + t3876 = t3976*t4169; + t3604 = t4018*t3786; + t4189 = z*t3876+t3604+t3976*t4007; + t4188 = t3988*t4079+(t3900+t3810)*x; + t3773 = t4018*t4095; + t4187 = t3773+t4196; + t3759 = t4017*t4098; + t3745 = t4002*t4084; + t4186 = t3759-t4014+t3745; + t3943 = RATIONAL(-18.0,1.0); + t4185 = -t4012+t3895+t3943*t4100; + t4184 = t3980*t4079+(t3920+t3799)*x; + t3956 = RATIONAL(18.0,1.0); + t3999 = RATIONAL(5.0,4.0); + t4164 = z*t3999; + t4183 = t3640+x*t4164+t3956*t4084; + t3973 = RATIONAL(-4.0,1.0); + t3857 = t3973*t4169; + t3987 = RATIONAL(-1.0,4.0); + t4182 = z*t3857+t3973*t4007+t3987*t4018; + t4096 = t3956*t4163; + t4181 = y*t4164+t4018*t4096+t3617; + t4137 = t3988*t4017; + t3859 = x*t4137; + t4180 = t4015*t3859+(t3900+t3806)*y; + t3991 = RATIONAL(-5.0,2.0); + t4113 = t4018*t3991; + t3845 = y*t4113; + t3925 = RATIONAL(45.0,2.0); + t4179 = t3845+t3925*t4084+t3846+t3759; + t4178 = x*t4113+t3925*t4100+t4196; + t3994 = RATIONAL(-6.0,1.0); + t3702 = t3994*t4007; + t4177 = t3702+t3857+t4207; + t4156 = t3997*t4017; + t3801 = x*t4156; + t3676 = t3993*t4077; + t4176 = -t4008+y*t3801+t4016*t3827+t3676; + t3946 = RATIONAL(15.0,2.0); + t3970 = RATIONAL(5.0,2.0); + t4146 = t4018*t3970; + t4175 = x*t4146+t3946*t4100+t4236; + t3730 = t3977*t4008; + t3739 = t3977*t4007; + t4174 = t3730+t3632+t3604+t3739; + t3680 = t3997*t4084; + t4173 = t3680+t4014+t4221; + t4118 = RATIONAL(45.0,8.0)*t4018; + t3790 = t4016*t4118; + t3975 = RATIONAL(-2.0,1.0); + t3813 = t3975*t4169; + t3865 = y*t4143; + t4172 = x*t3865+t4015*t3790+t3813+t3974*t4105; + t4155 = t3995*t4015; + t4092 = x*t4155; + t3748 = t4017*t4092; + t4165 = z*t3992; + t4147 = t4018*t3975; + t3822 = y*t4147; + t4171 = x*t4165+t3748+t3822+t3994*t4084; + t3971 = RATIONAL(4.0,1.0); + t4162 = t3971*y; + t3948 = RATIONAL(-12.0,1.0); + t3936 = RATIONAL(27.0,2.0); + t3588 = t3936*t4065; + t3916 = t3985*t4017; + t4013 = x*z; + t4170 = t4162*t4013+t3920+t3588+t3916+t3948*t4007; + t4168 = z*t3987; + t4167 = z*t3981; + t4010 = x*t4018; + t4005 = RATIONAL(-5.0,4.0); + t4161 = z*t4005; + t3572 = t3951*t4055; + t4158 = t3959*t4065+t3572; + t4134 = t4015*t3985; + t3824 = z*t4134; + t4153 = t3824+y*t4168; + t4136 = t4017*t3987; + t3828 = t4015*t3916; + t4151 = y*t4136+t3828; + t4149 = t3999*t4018; + t4145 = t3992*t4017; + t4142 = t3960*t4017; + t4111 = t4017*t3981; + t4141 = y*t4111+t3881; + t4128 = t3993*t4018; + t3855 = t4016*t4128; + t3766 = t4000*t4055; + t4140 = t3766+t4015*t3855; + t3769 = t4017*t3813; + t3681 = t3980*t4084; + t4139 = t3769+t3681; + t3967 = RATIONAL(-15.0,4.0); + t4138 = t3967*t4017; + t4135 = t4018*t4005; + t3787 = t3937*t4169; + t3873 = t4000*t4160; + t4133 = x*t4161+t3873; + t3884 = t3985*t4103; + t4130 = t3972*t4129+t3884; + t4127 = t3999*t4017; + t4126 = t4017*t3996; + t3577 = t4018*t4057; + t4123 = t3577+t3646; + t4009 = x*t4017; + t4121 = -t4009+t4010; + t4120 = t3980*t4015; + t3910 = t3974*t4016; + t3901 = t3974*t4015; + t4080 = x*t3901; + t4115 = t4017*t4080+t3646; + t4114 = t3970*t4169; + t4110 = z*t4159; + t4109 = t4017*t4005; + t4107 = t3837+x*t4111; + t3791 = RATIONAL(-20.0,1.0)*t4169; + t4099 = t3967*t4163; + t4094 = x*t4120; + t3983 = RATIONAL(6.0,1.0); + t4093 = t3983*t4163; + t4090 = t3980*t4159; + t4089 = t4004*t4159; + t4088 = t3997*t4159; + t4087 = y*t4102; + t4085 = t4002*t4159; + t3781 = x*t4138; + t3847 = x*t4154; + t3852 = x*t4126; + t3918 = t4001*z; + t3898 = t3972*t4160; + t4076 = x*t4166+t3918+t3898; + t3783 = t3958*t4103; + t4075 = t4003*t4016+t3783+t3953*t4129; + t3792 = t3958*t4157; + t4074 = t3792+t3794+t3899; + t4073 = t3790+t3910+t3789; + t4072 = t3841+t3792+t3827; + t4071 = t3863+t3632+z*t4097; + t4070 = t3777+t3901+t4015*t4118; + t4069 = t3840+t3892+t3783; + t3653 = z*t4060; + t3565 = RATIONAL(-243.0,8.0)*t4055; + t4068 = t3653+RATIONAL(81.0,2.0)*t4065+t3565; + t3569 = RATIONAL(243.0,8.0)*t4055; + t4067 = t3796+RATIONAL(-405.0,8.0)*t4065+t3569; + t4066 = t3658+t3875+t4017*t4095; + t4064 = t3782+t3572+RATIONAL(-135.0,8.0)*t4065; + t4063 = RATIONAL(-5.0,8.0)*t4018+t3981+t3916; + t3793 = RATIONAL(-81.0,4.0)*t4105; + t4062 = t3926*t4065+t3631+t3572; + t3883 = t4018*t3910; + t3885 = t4018*t3912; + t3839 = t4018*t4148; + t3858 = t3989*t4129; + t4059 = t3884+t4018*t3902+t3887; + t3706 = t3993*t4055; + t4058 = t4016*t3843+t3706+t3676; + t4056 = (z+t4017)*t4169; + t4054 = t3809+t3995*t4079+t3626; + t4053 = t3658+t4225; + t3903 = t3982*t4017; + t4052 = t3903+y*t4145+t3828; + t4051 = t4011+t3903+t3846; + t4050 = t3626+t4242; + t4049 = RATIONAL(-25.0,4.0)*t4018+t3970; + t4048 = RATIONAL(75.0,4.0)*t4018+t3961; + t4047 = RATIONAL(25.0,4.0)*t4018+t3991; + t4046 = t3925+RATIONAL(-225.0,4.0)*t4018; + t4045 = RATIONAL(-75.0,4.0)*t4018+t3946; + t4044 = t3935+RATIONAL(225.0,4.0)*t4018; + t3687 = x*t3845; + t4043 = t3960*t4084+t3687+t4115; + t3693 = t4018*t4094; + t4042 = t3693+t3723+t4218; + t4041 = -t4007+t4016*t3839+t3706+t4006; + t3754 = x*t3866; + t4040 = t3754+t4050+t4246*t3991; + t3635 = RATIONAL(50.0,1.0)*t4006; + t4039 = t3791+RATIONAL(-30.0,1.0)*t4007+t3793+t3635+t3565+RATIONAL(405.0, +8.0)*t4065; + t4038 = t3754+t3846+t3967*t4084+t3748+y*t4135+t3626; + t3743 = t3973*t4006; + t4037 = t3743+t3871+y*t4167+t3720+t3646+t4018*t4093; + t3947 = RATIONAL(10.0,1.0); + t3649 = t4018*t3791; + t4036 = t3653+t4018*t3793+t3649+t3572+t4246*t3947; + t3603 = t3947*t4006; + t4035 = t4018*t4081+x*t4149+t3603+t4053; + t4034 = y*t4149+t3603+t3940*t4084+t4066; + t3990 = RATIONAL(-8.0,1.0); + t3713 = t3990*t4006; + t3705 = t3983*t4007; + t3697 = z*t3813; + t4033 = t3713+t3705+t3697+t4062; + t3957 = RATIONAL(-25.0,2.0); + t3620 = t3957*t4006; + t4032 = t3876+t3620+t3946*t4007+t4064; + t4031 = t3787+t3962*t4007+t4204+t4207; + t4030 = y*t4146+t3946*t4084+t4221+t4222; + t4029 = t3743+t3971*t4007+t3982*t4018+t3911+t4123; + t3600 = RATIONAL(-40.0,1.0)*t4006; + t4028 = RATIONAL(30.0,1.0)*t4007+t3600+t3663+t3569+RATIONAL(-81.0,2.0)* +t4065+z*t3787; + t4027 = t3754+t4018*t4099+x*t4135+t4054; + t3760 = x*t3822; + t4026 = t3774+t4015*t3883+t3766+t3760+t4246; + t4025 = t3658+t3632+t3961*t4007+z*t4114+t3588+t3603; + t4024 = t3978*t4008+t3649+t3928*t4007+t4062; + t4023 = t3743+t3898+x*t4167+t3983*t4084+t4115; + t3927 = RATIONAL(12.0,1.0); + t3979 = RATIONAL(8.0,1.0); + t4022 = t3979*t4169+RATIONAL(5.0,8.0)*t4018+t3908+t3649+t3927*t4007+t3987 ++t4064; + t3673 = t3979*t4006; + t4021 = t3905+t3673+t3824+y*t4165+x*t4147+t3994*t4100+t4054; + t3950 = RATIONAL(16.0,1.0); + t3645 = t3950*t4006; + t4020 = t3918-t4013+t3943*t4084+y*t4104+t3645+t3873+t4066; + t3969 = RATIONAL(36.0,1.0); + t3954 = RATIONAL(25.0,2.0); + t3952 = RATIONAL(-36.0,1.0); + t3933 = RATIONAL(27.0,1.0); + t3923 = RATIONAL(-135.0,4.0); + t3919 = t4001*t4018; + t3891 = x*t4136; + t3890 = x*t4168; + t3879 = t4018*t3901; + t3868 = y*t4161; + t3862 = t4018*t4134; + t3861 = y*t4109; + t3854 = x*t4109; + t3851 = y*t4106; + t3850 = y*t4127; + t3844 = t4018*t4108; + t3835 = t4018*t3906; + t3825 = t4015*t4128; + t3818 = y*t4126; + t3817 = x*t4145; + t3815 = t4018*t4122; + t3808 = y*t4156; + t3800 = x*t4127; + t3798 = y*t4137; + t3797 = t4000*t4129; + t3795 = y*t4138; + t3788 = x*t4142; + t3779 = y*t4142; + t3768 = z*t4087; + t3767 = t4015*t3852; + t3765 = z*t4085; + t3762 = t3906*t4013; + t3758 = z*t4098; + t3749 = z*t4092; + t3747 = z*t4088; + t3741 = z*t4080; + t3738 = t3996*t4079; + t3735 = t3996*t4110; + t3731 = z*t4089; + t3727 = t3998*t4079; + t3726 = t4117*t4013; + t3724 = t4003*t4110; + t3721 = t3998*t4110; + t3719 = z*t4094; + t3716 = z*t4083; + t3714 = t3974*t4110; + t3712 = t3912*t4013; + t3711 = t3989*t4110; + t3703 = z*t4091; + t3701 = t4015*t3847; + t3692 = t3995*t4110; + t3691 = t3997*t4079; + t3678 = t4131*t4013; + t3677 = t4015*t3801; + t3675 = t4017*t4114; + t3672 = z*t4090; + t3669 = t3967*t4110; + t3668 = t3967*t4079; + t3659 = z*t4082; + t3652 = t3940*t4110; + t3643 = t4015*t3781; + t3642 = z*t4081; + t3637 = z*t4099; + t3630 = t3932*t4110; + t3629 = t3933*t4101; + t3622 = t3936*t4079; + t3621 = t3939*t4101; + t3609 = t3960*t4110; + t3608 = t3936*t4101; + t3590 = t3939*t4079; + t3585 = z*t4078; + t3573 = t3933*t4079; + t3571 = t3923*t4079; + t3570 = t3923*t4101; + coeff_dxy_m1_m1_m1 = t4200+t3678+t3721-t4014+t4139+t3858+t3693+t3971* +t4006+t3885+t3701+t3727+t4058+t3697+t4076-t4010+t4203+t4223+t4244; + coeff_dxy_0_m1_m1 = t3883+t3745+t3643+t3637+t3854+t4133+t4175+t4189+t4222 ++t4233; + coeff_dxy_p1_m1_m1 = t3692+t3703+t4014+t4021+t3835+t4009+t3733+t3677+ +t4013+t4052+t4182+t4198+t4242; + coeff_dxy_p2_m1_m1 = t3680+t3768+t3891+t4026+t3767+t3762+t3890+t4059+ +t4188; + coeff_dxy_m1_0_m1 = t3668+t4030+t3879+t3669+t3861+t3868+t3773+t4071+t4189 +; + coeff_dxy_0_0_m1 = t3630+t3659+t3957*t4056+t4204+t4224+t4228+t4239; + coeff_dxy_p1_0_m1 = t3652+t3758+t4036+t3850+t4179+t4181+t4208; + coeff_dxy_p2_0_m1 = t3609+t3716+t4040+t4215+t4237; + coeff_dxy_m1_p1_m1 = t3746+t4050+t4059+t3673+t3747+t4051+t3749+t3691+ +t4171+t3817+t4010+t4182+t4208+t4217; + coeff_dxy_0_p1_m1 = t3642+t3731+t4036+t3800+t4178+t4183+t4198; + coeff_dxy_p1_p1_m1 = t4020+t3765-t4011+t3879+t3990*t4056+t3883-t4009+ +t4185+t4200+t4224+t4225+t4227; + coeff_dxy_p2_p1_m1 = t3741+t3672+t4023+t3858+t4107+t4174+t4184; + coeff_dxy_m1_p2_m1 = t3735+t3835+t3737+t3726+t3738+t4026+t4151+t4153+ +t4180; + coeff_dxy_0_p2_m1 = t3585+t3724+t4040+t4199+t4232; + coeff_dxy_p1_p2_m1 = t3719+t3714+t3885+t4037+t4141+t4174+t4191; + coeff_dxy_p2_p2_m1 = t3711+t3712+t4006+t3992*t4056+t4058+t4197+t4229; + coeff_dxy_m1_m1_0 = -y+t3798+t4030+t3859+t4090+t3705+(-1.0+t4162+t4120)*x ++t4063+t4175+t4202+t4206+t4241; + coeff_dxy_0_m1_0 = t3622+t4085+t3788+(t4045*t4015+t4049)*x+t4031+t4073+ +t4228; + coeff_dxy_p1_m1_0 = t3829+t4022+(t3994*t4015+t3975)*x+t4089+t4075+t4179+ +t4194+t4220+t4245; + coeff_dxy_p2_m1_0 = t4088+t3812+(t3986+t4131)*x+t4027+t4172+t4226+t4237; + coeff_dxy_m1_0_0 = t3608+t4095+t3779+(t4045*t4016+t4049)*y+t4031+t4070+ +t4239; + coeff_dxy_0_0_0 = t3571+t3570+t4044*t4159+(t4044*t4015+(RATIONAL(-125.0, +2.0)*t4018+t3964+RATIONAL(75.0,2.0)*t4017)*y)*x+t4067; + coeff_dxy_p1_0_0 = t3795+t4096+t3629+(t4046*t4016+t4047)*y+t4039+t4074+ +t4230; + coeff_dxy_p2_0_0 = t4097+t3621+t4048*t4159+t4032+t4214; + coeff_dxy_m1_p1_0 = x+t4022+t4098+t3847+t3865+(t3994*t4016+t3975)*y+t4074 ++t4178+t4190+t4226; + coeff_dxy_0_p1_0 = t3956*t4159+t3573+t3781+(t4046*t4015+t4047)*x+t4039+ +t4075+t4231; + coeff_dxy_p1_p1_0 = t3600+(t3943*t4015+t3977+(RATIONAL(24.0,1.0)*t4017+ +t3950)*y)*x+t3801+t4067+t3808+t4063+(t3943*t4016+t3977)*y+t4070+t4073+t4193+ +t4195; + coeff_dxy_p2_p1_0 = t3852+t3983*t4159+(t3992+t4155)*x+t4035+t4177+t4206+ +t4235; + coeff_dxy_m1_p2_0 = t4091+t3851+(t4119+t3986)*y+t4038+t4172+t4220+t4232; + coeff_dxy_0_p2_0 = t4086+t3590+t4048*t4163+t4032+t4201; + coeff_dxy_p1_p2_0 = t4093+t3818+(t3995*t4016+t3992)*y+t4034+t4177+t4202+ +t4234; + coeff_dxy_p2_p2_0 = t4087+(t4117+t4245)*x+t4043+t4241+t4243; + coeff_dxy_m1_m1_p1 = t3730+t3702+t3834+t3768+t4021+t3847+t3726+t4171+ +t4211+t4212+t4213+t4216; + coeff_dxy_0_m1_p1 = t3692+t4024+t3781+t3585+t4069+t4183+t4194; + coeff_dxy_p1_m1_p1 = t3878+t3719+t3798+t4020+t3801+t3622+(t3973+t3948* +t4015)*t4010+t4170+t4203+t4233+t4240; + coeff_dxy_p2_m1_p1 = t3852+t3831+t3721+t4023+t4010+t3712+t4176+t4192; + coeff_dxy_m1_0_p1 = t3609+t4024+t3749+t3795+t4072+t4181+t4190; + coeff_dxy_0_0_p1 = t3652+t3642+t3635+(t3954*z+RATIONAL(-75.0,2.0)*t4017)* +t4169+t4068+t4230+t4231; + coeff_dxy_p1_0_p1 = t4028+t3779+t3630+t3969*t4100+t3868+t3571+t4193+t4209 ++t4227; + coeff_dxy_p2_0_p1 = t3669+t3741+t4025+t4235+t4238; + coeff_dxy_m1_p1_p1 = t3831+t3672+t4170+(t3973+t3948*t4016)*t4014+t4071+ +t3859+t3808+t4053+t3645+t4076+t3608+t4185+t4209; + coeff_dxy_0_p1_p1 = t4028+t3765+t3788+t3570+t3969*t4084+t3659+t4133+t4195 ++t4240; + coeff_dxy_p1_p1_p1 = t3829+t3573+((t3952*t4015+t3971)*t4018+(RATIONAL( +-24.0,1.0)*t4017+RATIONAL(32.0,1.0)*t4018+t3979*z)*y)*x+t3758+t3865+t3731+t4068 ++t3629+(t3952*t4016+t3971)*t4014+t4013+t4069+t4072+t4212+t4217; + coeff_dxy_p2_p1_p1 = t4033+t3812+t3747+t3927*t4084+t3716+t3621-t4010+ +t3890+t4187+t4211; + coeff_dxy_m1_p2_p1 = t3878+t3678+t3818+t3711+t4037+t4173+t4176; + coeff_dxy_0_p2_p1 = t3714+t3637+t4025+t4205+t4234; + coeff_dxy_p1_p2_p1 = t4033+t3703+t3724+t3927*t4100+t3590+t3851+t4153+ +t4186+t4213; + coeff_dxy_p2_p2_p1 = t3762+t3735+t3681+t3757+(t4166+t4137)*t4169+t4042+ +t4216; + coeff_dxy_m1_m1_p2 = t3815+t3760+t3817+t3739+t3919+t4052+t4130+t4140+ +t4180+t4188; + coeff_dxy_0_m1_p2 = t3800+t3797+t4027+t4199+t4219; + coeff_dxy_p1_m1_p2 = t3855+t4029+t3862+t4121+t4191+t4192+t4244; + coeff_dxy_p2_m1_p2 = t3727+t3844+(t3987+t3906)*t4010+t4041+t4107+t4197; + coeff_dxy_m1_0_p2 = t3839+t3850+t4038+t4215+t4219; + coeff_dxy_0_0_p2 = t3620+t3954*t4007+t4158+t4201+t4214; + coeff_dxy_p1_0_p2 = t3861+t3825+t4034+t4210+t4238; + coeff_dxy_p2_0_p2 = t3668+t3577+t3675+x*t3843+t4043; + coeff_dxy_m1_p1_p2 = -t4011+t3825+t4029+t3844+t4173+t4184+t4223; + coeff_dxy_0_p1_p2 = t3855+t3854+t4035+t4205+t4210; + coeff_dxy_p1_p1_p2 = t3979*t4007+t3839+t3919+t3797+t3713+t4051-t4121+ +t4158+t4186+t4187; + coeff_dxy_p2_p1_p2 = t3757+t3579+t3891+t3691+(t3981+t3901)*t4010+t4130+ +t4139+t4218; + coeff_dxy_m1_p2_p2 = t3862+t3701+(t3987+t3902)*t4014+t4041+t4141+t4229; + coeff_dxy_0_p2_p2 = t3643+y*t3816+t3675+t3687+t4123+t4243; + coeff_dxy_p1_p2_p2 = t3815+t3769+t3677+t3579+(t3981+t3910)*t4014+t4042+ +t4151; + coeff_dxy_p2_p2_p2 = y*t3858+t3738+t3767+(t3885+(t4144+t3920)*y)*x+t4140; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-dxz.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-dxz.compute.c new file mode 100644 index 0000000..2d575ca --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-dxz.compute.c @@ -0,0 +1,1139 @@ +fp t4701, + t4700, + t4937, + t4703, + t4800, + t4688, + t4605, + t4638, + t4936, + t4694, + t4693, + t4696, + t4691, + t4935, + t4683, + t4827, + t4540, + t4934, + t4702, + t4843, + t4619, + t4467, + t4346, + t4662, + t4791, + t4574, + t4933, + t4634, + t4468, + t4659, + t4584, + t4932, + t4681, + t4588, + t4835, + t4626, + t4931, + t4832, + t4464, + t4743, + t4930, + t4834, + t4759, + t4378, + t4784, + t4646, + t4929, + t4647, + t4629, + t4928, + t4819, + t4735, + t4350, + t4473, + t4927, + t4643, + t4797, + t4472, + t4669, + t4825, + t4487, + t4926, + t4558, + t4480, + t4925, + t4670, + t4848, + t4555, + t4682, + t4850, + t4761, + t4924, + t4671, + t4585, + t4657, + t4592, + t4923, + t4636, + t4737, + t4339, + t4675, + t4695, + t4692, + t4922, + t4655, + t4305, + t4921, + t4764, + t4685, + t4787, + t4507, + t4920, + t4674, + t4818, + t4526, + t4673, + t4794, + t4556, + t4919, + t4678, + t4550, + t4689, + t4918, + t4624, + t4462, + t4917, + t4620, + t4856, + t4617, + t4755, + t4297, + t4916, + t4598, + t4648, + t4915, + t4770, + t4365, + t4767, + t4337, + t4914, + t4488, + t4913, + t4780, + t4782, + t4912, + t4314, + t4663, + t4911, + t4644, + t4345, + t4649, + t4910, + t4645, + t4814, + t4475, + t4909, + t4622, + t4908, + t4907, + t4906, + t4680, + t4905, + t4783, + t4596, + t4758, + t4372, + t4904, + t4829, + t4559, + t4903, + t4793, + t4569, + t4460, + t4902, + t4593, + t4901, + t4625, + t4757, + t4340, + t4900, + t4766, + t4426, + t4899, + t4543, + t4898, + t4616, + t4607, + t4897, + t4896, + t4304, + t4895, + t4894, + t4676, + t4828, + t4541, + t4352, + t4893, + t4621, + t4892, + t4499, + t4824, + t4582, + t4891, + t4842, + t4539, + t4765, + t4890, + t4381, + t4889, + t4631, + t4822, + t4888, + t4686, + t4597, + t4830, + t4887, + t4886, + t4807, + t4524, + t4885, + t4611, + t4884, + t4668, + t4431, + t4883, + t4661, + t4846, + t4613, + t4882, + t4653, + t4615, + t4820, + t4881, + t4821, + t4494, + t4815, + t4495, + t4880, + t4549, + t4879, + t4840, + t4571, + t4878, + t4415, + t4449, + t4877, + t4687, + t4417, + t4628, + t4876, + t4512, + t4875, + t4858, + t4463, + t4874, + t4760, + t4666, + t4847, + t4873, + t4775, + t4450, + t4872, + t4823, + t4368, + t4371, + t4335, + t4871, + t4658, + t4485, + t4672, + t4870, + t4656, + t4667, + t4869, + t4665, + t4788, + t4566, + t4660, + t4513, + t4868, + t4610, + t4867, + t4679, + t4422, + t4866, + t4865, + t4851, + t4633, + t4600, + t4677, + t4586, + t4864, + t4863, + t4481, + t4816, + t4785, + t4301, + t4862, + t4348, + t4567, + t4861, + t4532, + t4577, + t4860, + t4844, + t4537, + t4852, + t4859, + t4699, + t4684, + t4857, + t4855, + t4854, + t4697, + t4690, + t4853, + t4849, + t4247, + t4608, + t4845, + t4841, + t4563, + t4839, + t4838, + t4806, + t4514, + t4454, + t4837, + t4438, + t4836, + t4698, + t4833, + t4831, + t4826, + t4594, + t4817, + t4453, + t4774, + t4452, + t4813, + t4437, + t4812, + t4517, + t4811, + t4810, + t4809, + t4294, + t4808, + t4805, + t4804, + t4803, + t4478, + t4278, + t4802, + t4459, + t4801, + t4799, + t4798, + t4551, + t4796, + t4795, + t4792, + t4410, + t4790, + t4789, + t4652, + t4786, + t4781, + t4562, + t4779, + t4778, + t4777, + t4776, + t4641, + t4773, + t4772, + t4771, + t4769, + t4768, + t4763, + t4762, + t4756, + t4583, + t4754, + t4753, + t4752, + t4751, + t4750, + t4749, + t4748, + t4589, + t4747, + t4447, + t4746, + t4347, + t4745, + t4604, + t4570, + t4744, + t4742, + t4741, + t4590, + t4498, + t4740, + t4739, + t4738, + t4545, + t4575, + t4736, + t4548, + t4573, + t4580, + t4511, + t4509, + t4250, + t4734, + t4733, + t4732, + t4731, + t4730, + t4729, + t4416, + t4728, + t4727, + t4457, + t4726, + t4725, + t4425, + t4724, + t4353, + t4723, + t4300, + t4722, + t4721, + t4281, + t4720, + t4327, + t4719, + t4718, + t4717, + t4716, + t4433, + t4715, + t4714, + t4713, + t4712, + t4401, + t4711, + t4710, + t4429, + t4709, + t4642, + t4319, + t4708, + t4635, + t4324, + t4707, + t4664, + t4444, + t4706, + t4612, + t4705, + t4654, + t4650, + t4639, + t4637, + t4627, + t4623, + t4618, + t4606, + t4603, + t4587, + t4579, + t4576, + t4565, + t4557, + t4554, + t4553, + t4546, + t4542, + t4536, + t4535, + t4533, + t4531, + t4528, + t4525, + t4523, + t4521, + t4518, + t4515, + t4510, + t4508, + t4504, + t4500, + t4497, + t4491, + t4486, + t4483, + t4482, + t4479, + t4477, + t4466, + t4451, + t4446, + t4443, + t4440, + t4435, + t4413, + t4408, + t4399, + t4394, + t4393, + t4391, + t4382, + t4380, + t4377, + t4376, + t4375, + t4374, + t4364, + t4362, + t4361, + t4356, + t4354, + t4349, + t4344, + t4323, + t4322, + t4317, + t4311, + t4310, + t4309, + t4303, + t4296, + t4293, + t4291, + t4285, + t4276, + t4264, + t4249; + t4701 = y*y; + t4700 = t4701*y; + t4937 = y+t4700; + t4703 = z*z; + t4800 = t4701*t4703; + t4688 = RATIONAL(9.0,4.0); + t4605 = t4688*t4703; + t4638 = RATIONAL(-45.0,8.0); + t4936 = t4605+t4638*t4800; + t4694 = x*y; + t4693 = z*t4694; + t4696 = x*t4700; + t4691 = z*t4696; + t4935 = t4691+t4693; + t4683 = RATIONAL(3.0,2.0); + t4827 = t4683*t4700; + t4540 = z*t4827; + t4934 = z+t4540; + t4702 = x*x; + t4843 = t4700*t4703; + t4619 = RATIONAL(-27.0,8.0); + t4467 = t4619*t4843; + t4346 = t4702*t4467; + t4662 = RATIONAL(2.0,1.0); + t4791 = t4662*t4701; + t4574 = z*t4791; + t4933 = x*t4574+t4346; + t4634 = RATIONAL(45.0,8.0); + t4468 = t4634*t4800; + t4659 = RATIONAL(-9.0,4.0); + t4584 = t4659*t4703; + t4932 = t4468+t4584; + t4681 = RATIONAL(-3.0,4.0); + t4588 = t4681*t4702; + t4835 = t4701*t4702; + t4626 = RATIONAL(15.0,8.0); + t4931 = t4588+t4626*t4835; + t4832 = t4702*t4703; + t4464 = RATIONAL(81.0,4.0)*t4832; + t4743 = t4702*t4800; + t4930 = t4464+RATIONAL(-405.0,8.0)*t4743; + t4834 = t4700*t4702; + t4759 = z*t4834; + t4378 = t4688*t4759; + t4784 = x*t4800; + t4646 = RATIONAL(-15.0,2.0); + t4929 = t4378+t4646*t4784; + t4647 = RATIONAL(-15.0,1.0); + t4629 = RATIONAL(27.0,4.0); + t4928 = t4629*t4759+t4647*t4784; + t4819 = t4702*t4619; + t4735 = t4703*t4819; + t4350 = y*t4735; + t4473 = t4629*t4832; + t4927 = t4701*t4473+t4350; + t4643 = RATIONAL(27.0,8.0); + t4797 = t4643*t4700; + t4472 = t4702*t4797; + t4669 = RATIONAL(-9.0,2.0); + t4825 = t4702*t4669; + t4487 = t4701*t4825; + t4926 = t4472+t4487; + t4558 = t4669*t4800; + t4480 = t4703*t4797; + t4925 = t4558+t4480; + t4670 = RATIONAL(3.0,8.0); + t4848 = y*t4703; + t4555 = t4670*t4848; + t4682 = RATIONAL(3.0,1.0); + t4850 = x*t4703; + t4761 = t4682*t4850; + t4924 = t4555+y*t4761; + t4671 = RATIONAL(1.0,2.0); + t4585 = t4671*t4701; + t4657 = RATIONAL(-3.0,8.0); + t4592 = t4657*t4700; + t4923 = t4585+t4592; + t4636 = RATIONAL(81.0,8.0); + t4737 = t4700*t4832; + t4339 = t4636*t4737; + t4675 = RATIONAL(-8.0,1.0); + t4695 = x*t4701; + t4692 = z*t4695; + t4922 = t4675*t4692+t4339; + t4655 = RATIONAL(5.0,2.0); + t4305 = t4701*t4735; + t4921 = t4305+t4655*t4691; + t4764 = t4669*t4850; + t4685 = RATIONAL(9.0,8.0); + t4787 = t4685*t4703; + t4507 = t4700*t4787; + t4920 = t4700*t4764+t4507; + t4674 = RATIONAL(3.0,4.0); + t4818 = t4674*t4700; + t4526 = x*t4818; + t4673 = RATIONAL(-3.0,2.0); + t4794 = t4673*t4701; + t4556 = t4702*t4794; + t4919 = t4703*t4526+z*t4556; + t4678 = RATIONAL(-9.0,8.0); + t4550 = t4678*t4834; + t4689 = RATIONAL(-9.0,1.0); + t4918 = t4689*t4759+t4550; + t4624 = RATIONAL(-27.0,4.0); + t4462 = t4624*t4832; + t4917 = RATIONAL(135.0,8.0)*t4743+t4462; + t4620 = RATIONAL(-45.0,2.0); + t4856 = z*t4702; + t4617 = RATIONAL(45.0,4.0); + t4755 = t4617*t4856; + t4297 = t4700*t4755; + t4916 = t4620*t4784+t4297; + t4598 = t4674*t4702; + t4648 = RATIONAL(-15.0,8.0); + t4915 = t4648*t4835+t4598; + t4770 = t4689*t4856; + t4365 = t4701*t4770; + t4767 = t4617*t4850; + t4337 = t4700*t4767; + t4914 = t4365+t4337; + t4488 = t4701*t4787; + t4913 = -t4691+t4702*t4488; + t4780 = z*t4835; + t4782 = x*t4843; + t4912 = t4647*t4780+t4629*t4782; + t4314 = t4643*t4743; + t4663 = RATIONAL(-5.0,1.0); + t4911 = t4314+t4663*t4691; + t4644 = RATIONAL(-81.0,8.0); + t4345 = t4644*t4737; + t4649 = RATIONAL(25.0,1.0); + t4910 = t4649*t4692+t4345; + t4645 = RATIONAL(15.0,4.0); + t4814 = t4700*t4645; + t4475 = x*t4814; + t4909 = z*t4487+t4703*t4475; + t4622 = RATIONAL(-10.0,1.0); + t4908 = t4636*t4743+t4622*t4691; + t4907 = t4648*t4800+t4674*t4703; + t4906 = t4936*t4702; + t4680 = RATIONAL(9.0,2.0); + t4905 = t4680*t4759+t4550; + t4783 = t4645*t4850; + t4596 = t4659*t4702; + t4758 = z*t4596; + t4372 = t4700*t4758; + t4904 = t4372+t4701*t4783; + t4829 = t4685*t4702; + t4559 = t4700*t4829; + t4903 = t4556+t4559; + t4793 = t4701*t4680; + t4569 = t4702*t4793; + t4460 = t4700*t4819; + t4902 = t4569+t4460; + t4593 = t4681*t4703; + t4901 = t4593+t4626*t4800; + t4625 = RATIONAL(-45.0,4.0); + t4757 = t4625*t4850; + t4340 = t4700*t4757; + t4900 = t4340+t4701*t4755; + t4766 = x*t4605; + t4426 = t4700*t4766; + t4899 = t4646*t4780+t4426; + t4543 = y*t4787; + t4898 = t4543+y*t4764; + t4616 = RATIONAL(-45.0,1.0); + t4607 = RATIONAL(135.0,4.0); + t4897 = t4616*t4780+t4607*t4782; + t4896 = x*t4558+t4645*t4759; + t4304 = t4625*t4759; + t4895 = t4304+t4701*t4767; + t4894 = t4616*t4784+t4607*t4759; + t4676 = RATIONAL(-5.0,2.0); + t4828 = t4701*t4676; + t4541 = z*t4828; + t4352 = t4702*t4480; + t4893 = x*t4541+t4352; + t4621 = RATIONAL(27.0,2.0); + t4892 = t4621*t4782+t4467; + t4499 = x*t4827; + t4824 = t4657*t4703; + t4582 = t4700*t4824; + t4891 = t4582+t4703*t4499; + t4842 = t4678*t4703; + t4539 = t4700*t4842; + t4765 = t4689*t4850; + t4890 = t4539+t4700*t4765; + t4381 = t4701*t4765; + t4889 = t4297+t4381; + t4631 = RATIONAL(15.0,2.0); + t4822 = t4701*t4655; + t4888 = z*t4822+t4631*t4780; + t4686 = RATIONAL(-1.0,8.0); + t4597 = t4686*t4700; + t4830 = t4671*t4700; + t4887 = t4597+x*t4830; + t4886 = t4620*t4780+t4337; + t4807 = t4702*t4670; + t4524 = t4700*t4807; + t4885 = t4682*t4759+t4524; + t4611 = RATIONAL(-27.0,2.0); + t4884 = t4350+t4611*t4743; + t4668 = RATIONAL(6.0,1.0); + t4431 = t4668*t4691; + t4883 = t4431+t4884; + t4661 = RATIONAL(5.0,1.0); + t4846 = t4661*t4701; + t4613 = RATIONAL(15.0,1.0); + t4882 = x*t4846+t4611*t4759+t4613*t4784; + t4653 = RATIONAL(-27.0,1.0); + t4615 = RATIONAL(45.0,1.0); + t4820 = t4663*t4701; + t4881 = t4653*t4759+t4615*t4784+x*t4820; + t4821 = t4673*t4700; + t4494 = x*t4821; + t4815 = t4683*t4702; + t4495 = t4701*t4815; + t4880 = t4703*t4494+(t4495+t4585)*z; + t4549 = z*t4846; + t4879 = t4549+t4613*t4780+t4611*t4782; + t4840 = t4682*t4700; + t4571 = x*t4840; + t4878 = -t4693+t4702*t4558+z*t4571; + t4415 = t4701*t4761; + t4449 = t4669*t4759; + t4877 = t4415+t4449+t4695; + t4687 = RATIONAL(9.0,1.0); + t4417 = t4687*t4759; + t4628 = RATIONAL(-18.0,1.0); + t4876 = t4417+x*t4791+t4628*t4784; + t4512 = t4703*t4596; + t4875 = t4701*t4512+t4935; + t4858 = x*z; + t4463 = t4622*t4858; + t4874 = RATIONAL(-81.0,2.0)*t4743+RATIONAL(30.0,1.0)*t4691+y*t4463; + t4760 = t4668*t4850; + t4666 = RATIONAL(1.0,4.0); + t4847 = y*t4666; + t4873 = t4701*t4760+z*t4847+t4372; + t4775 = t4687*t4856; + t4450 = t4701*t4775; + t4872 = t4450+t4890; + t4823 = t4662*t4858; + t4368 = y*t4823; + t4371 = t4700*t4823; + t4335 = t4701*t4462; + t4871 = t4368+t4371+t4335; + t4658 = RATIONAL(-4.0,1.0); + t4485 = t4658*t4858; + t4672 = RATIONAL(-1.0,4.0); + t4870 = t4672*t4701+t4937*t4485; + t4656 = RATIONAL(4.0,1.0); + t4667 = RATIONAL(1.0,8.0); + t4869 = t4656*t4691+t4667*t4701+t4305; + t4665 = RATIONAL(-3.0,1.0); + t4788 = t4700*t4665; + t4566 = z*t4788; + t4660 = RATIONAL(-2.0,1.0); + t4513 = t4660*t4858; + t4868 = x*t4566+t4512+t4702*t4468+t4513; + t4610 = RATIONAL(45.0,2.0); + t4867 = x*t4828+t4610*t4784+t4918; + t4679 = RATIONAL(-6.0,1.0); + t4422 = t4679*t4691; + t4866 = t4422+t4485+t4917; + t4865 = t4613*t4691+t4663*t4693+t4884; + t4851 = t4656*z; + t4633 = RATIONAL(-12.0,1.0); + t4600 = t4670*t4700; + t4677 = RATIONAL(-1.0,2.0); + t4586 = t4677*t4701; + t4864 = t4600+t4633*t4691+t4586+t4851*t4694; + t4863 = t4610*t4780+t4541+t4890; + t4481 = RATIONAL(-81.0,4.0)*t4832; + t4816 = RATIONAL(10.0,1.0)*t4858; + t4785 = y*t4832; + t4301 = t4636*t4785; + t4862 = t4701*t4481+t4301+t4937*t4816; + t4348 = t4643*t4785; + t4567 = t4661*t4858; + t4861 = t4348+t4661*t4691+t4335+y*t4567; + t4532 = t4703*t4793; + t4577 = t4702*t4592; + t4860 = t4665*t4759+t4577+(t4586+t4532)*x; + t4844 = t4701*t4660; + t4537 = x*t4844; + t4852 = y*t4677; + t4859 = t4537+t4679*t4784+z*t4852+t4905; + t4699 = y*z; + t4684 = RATIONAL(5.0,4.0); + t4857 = y*t4684; + t4855 = y*t4672; + t4854 = t4671*y; + t4697 = t4701*z; + t4690 = RATIONAL(-5.0,4.0); + t4853 = y*t4690; + t4849 = y*t4702; + t4247 = RATIONAL(243.0,8.0)*t4737; + t4608 = RATIONAL(-135.0,4.0); + t4845 = t4608*t4782+t4247; + t4841 = t4700*t4690; + t4563 = y*t4829; + t4839 = t4563+x*t4853; + t4838 = t4680*t4703; + t4806 = x*t4848; + t4514 = y*t4842; + t4454 = t4702*t4514; + t4837 = t4454+t4674*t4806; + t4438 = t4702*t4507; + t4836 = t4438+t4681*t4759; + t4698 = t4700*z; + t4833 = -t4699-t4698; + t4831 = t4700*t4681; + t4826 = t4684*t4700; + t4594 = t4688*t4702; + t4817 = t4701*t4690; + t4453 = t4700*t4513; + t4774 = t4665*t4856; + t4452 = t4701*t4774; + t4813 = t4453+t4452; + t4437 = t4702*t4543; + t4812 = t4437+t4681*t4806; + t4517 = y*t4807; + t4811 = t4517+x*t4855; + t4810 = t4680*t4702; + t4809 = t4677*t4700; + t4294 = t4644*t4785; + t4808 = y*t4767+t4294; + t4805 = t4700*t4666; + t4804 = t4665*t4703; + t4803 = t4673*t4703; + t4478 = RATIONAL(-20.0,1.0)*t4858; + t4278 = t4701*t4478; + t4802 = t4339+t4278; + t4459 = y*t4513; + t4801 = t4459-t4697; + t4799 = t4674*t4701; + t4798 = t4700*t4672; + t4551 = t4703*t4600; + t4796 = t4551+z*t4798; + t4795 = t4684*t4701; + t4792 = t4701*t4670; + t4410 = t4701*t4485; + t4790 = t4410+t4352; + t4789 = t4683*t4703; + t4652 = RATIONAL(-15.0,4.0); + t4786 = t4652*t4700; + t4781 = x*t4838; + t4562 = x*t4831; + t4779 = t4625*t4856; + t4778 = t4652*t4850; + t4777 = t4645*t4856; + t4776 = x*t4584; + t4641 = RATIONAL(18.0,1.0); + t4773 = t4641*t4856; + t4772 = t4668*t4856; + t4771 = t4682*t4856; + t4769 = t4673*t4856; + t4768 = z*t4825; + t4763 = t4641*t4850; + t4762 = t4687*t4850; + t4756 = x*t4804; + t4583 = y*t4824; + t4754 = t4454+t4789*t4694+t4583; + t4753 = t4352+t4920; + t4752 = t4597-t4696+t4559; + t4751 = t4543+y*t4762+t4294; + t4750 = t4539+t4346+t4700*t4781; + t4749 = RATIONAL(-5.0,8.0)*t4701+t4600+t4666; + t4748 = t4437+t4555+t4803*t4694; + t4589 = t4667*t4700; + t4747 = t4551+z*t4809+t4589; + t4447 = t4702*t4539; + t4746 = t4683*t4759+t4577+t4447; + t4347 = t4621*t4743; + t4745 = t4348+t4345+t4347; + t4604 = t4686*y; + t4570 = t4657*t4849; + t4744 = t4604+t4570+x*t4854; + t4742 = t4700*t4762+t4345+t4507; + t4741 = t4348+y*t4756+t4583; + t4590 = t4667*y; + t4498 = t4678*t4849; + t4740 = t4590+t4498+t4694; + t4739 = t4634*t4835+t4460+t4596; + t4738 = t4937*t4858; + t4545 = t4701*t4594; + t4575 = t4702*t4799; + t4736 = t4472+t4638*t4835+t4594; + t4548 = t4678*t4800; + t4573 = t4703*t4794; + t4580 = t4703*t4799; + t4511 = t4688*t4800; + t4509 = t4701*t4789; + t4250 = RATIONAL(-243.0,8.0)*t4737; + t4734 = t4250+t4301+RATIONAL(81.0,2.0)*t4743; + t4733 = t4339+RATIONAL(-135.0,8.0)*t4743+t4473; + t4732 = t4346+t4927; + t4731 = t4480+t4936; + t4730 = RATIONAL(75.0,4.0)*t4701+t4646; + t4729 = t4620+RATIONAL(225.0,4.0)*t4701; + t4416 = t4700*t4776; + t4728 = t4416+t4701*t4777+t4893; + t4727 = x*t4573+t4692+t4674*t4759+t4447; + t4457 = t4701*t4756; + t4726 = t4378+t4457+t4933; + t4725 = x*t4847+t4416+t4701*t4772+t4570+t4790; + t4425 = x*t4549; + t4724 = t4652*t4780+z*t4817+t4425+t4750; + t4353 = t4622*t4692; + t4723 = x*t4822+t4449+t4631*t4784+t4352+t4559+t4353; + t4300 = RATIONAL(-40.0,1.0)*t4692; + t4722 = z*t4820+t4615*t4780+t4300+t4467+t4247+t4653*t4782; + t4721 = x*t4817+t4346+t4701*t4778+t4425+t4905; + t4281 = t4701*t4816; + t4720 = t4417+t4281+t4345+t4701*t4757+t4559+x*t4795; + t4327 = RATIONAL(50.0,1.0)*t4692; + t4719 = t4250+t4481+RATIONAL(-30.0,1.0)*t4691+t4478+t4327+RATIONAL(405.0, +8.0)*t4743; + t4718 = t4281+t4701*t4779+z*t4795+t4742; + t4717 = t4281+t4655*t4693+t4646*t4691+t4745; + t4716 = t4701*t4773+t4498+t4340+x*t4857+t4802; + t4433 = z*t4537; + t4715 = t4673*t4759+t4524+t4433+t4438+(t4509+t4585)*x; + t4714 = t4700*t4756+t4582+t4790+(t4569+t4586)*z; + t4713 = t4647*t4691+t4463+t4910+t4917; + t4712 = t4425+t4732+t4935*t4676; + t4401 = t4701*t4762; + t4711 = t4401-t4695+t4918+t4922; + t4710 = t4304+t4514+z*t4857+t4701*t4763+t4802; + t4429 = t4701*t4771; + t4709 = t4410+t4429+t4697+t4753; + t4642 = RATIONAL(-25.0,2.0); + t4319 = t4642*t4692; + t4708 = t4631*t4691+t4567+t4319+t4733; + t4635 = RATIONAL(16.0,1.0); + t4324 = t4635*t4692; + t4707 = -t4694+t4563+t4604+t4574+t4628*t4780+t4324+t4742; + t4664 = RATIONAL(8.0,1.0); + t4444 = t4664*t4692; + t4706 = x*t4852+t4590+t4679*t4780+t4444+z*t4844+t4517+t4750; + t4612 = RATIONAL(12.0,1.0); + t4705 = t4612*t4691+t4592+RATIONAL(5.0,8.0)*t4701+t4664*t4858+t4278+t4672 ++t4733; + t4654 = RATIONAL(36.0,1.0); + t4650 = RATIONAL(25.0,4.0); + t4639 = RATIONAL(25.0,2.0); + t4637 = RATIONAL(-36.0,1.0); + t4627 = RATIONAL(-25.0,4.0); + t4623 = RATIONAL(-75.0,4.0); + t4618 = RATIONAL(27.0,1.0); + t4606 = RATIONAL(-225.0,4.0); + t4603 = t4666*t4701; + t4587 = t4686*t4701; + t4579 = z*t4854; + t4576 = z*t4830; + t4565 = t4701*t4596; + t4557 = x*t4841; + t4554 = t4681*t4800; + t4553 = z*t4841; + t4546 = z*t4818; + t4542 = x*t4809; + t4536 = x*t4788; + t4535 = t4701*t4829; + t4533 = t4701*t4588; + t4531 = t4657*t4800; + t4528 = x*t4826; + t4525 = z*t4840; + t4523 = z*t4855; + t4521 = z*t4831; + t4518 = z*t4826; + t4515 = x*t4798; + t4510 = t4703*t4792; + t4508 = z*t4821; + t4504 = t4657*t4835; + t4500 = z*t4805; + t4497 = t4678*t4835; + t4491 = x*t4805; + t4486 = t4702*t4792; + t4483 = z*t4853; + t4482 = t4659*t4800; + t4479 = x*t4786; + t4477 = z*t4786; + t4466 = z*t4814; + t4451 = t4815*t4699; + t4446 = t4702*t4511; + t4443 = t4810*t4699; + t4440 = y*t4768; + t4435 = t4703*t4562; + t4413 = t4702*t4548; + t4408 = y*t4781; + t4399 = y*t4774; + t4394 = y*t4765; + t4393 = y*t4766; + t4391 = t4700*t4761; + t4382 = t4588*t4699; + t4380 = y*t4776; + t4377 = t4594*t4699; + t4376 = y*t4769; + t4375 = y*t4771; + t4374 = y*t4758; + t4364 = y*t4775; + t4362 = y*t4770; + t4361 = t4598*t4699; + t4356 = t4702*t4532; + t4354 = t4618*t4759; + t4349 = t4624*t4782; + t4344 = t4621*t4759; + t4323 = t4618*t4782; + t4322 = y*t4783; + t4317 = y*t4778; + t4311 = t4700*t4778; + t4310 = t4652*t4759; + t4309 = t4652*z*t4849; + t4303 = y*t4779; + t4296 = y*t4757; + t4293 = t4701*t4464; + t4291 = y*t4755; + t4285 = y*t4777; + t4276 = t4644*t4743; + t4264 = t4624*t4759; + t4249 = t4608*t4759; + coeff_dxz_m1_m1_m1 = t4575+t4744+t4579+t4603+t4576+t4746+t4580+t4656* +t4692+t4451+t4754+t4457+t4446-t4695+t4801+t4813+t4887+t4891; + coeff_dxz_0_m1_m1 = t4450+t4557+t4440+t4311+t4565+t4723+t4317+t4839+t4861 +; + coeff_dxz_p1_m1_m1 = t4554+t4859+t4732+t4740+t4696+t4443+t4444+t4747+ +t4545+t4391+t4697+t4365+t4870+t4924; + coeff_dxz_p2_m1_m1 = t4376+t4715+t4515+t4533+t4429+t4435+t4811+t4812+ +t4875; + coeff_dxz_m1_0_m1 = -z+t4494+t4508+t4431+t4774+(-1.0+t4804+t4851)*x+t4723 ++t4749+t4888+t4906+t4907+t4915+t4920; + coeff_dxz_0_0_m1 = t4344+t4775+t4475+(t4631*t4703+t4655+(t4627+t4623* +t4703)*t4701)*x+t4713+t4739+t4886; + coeff_dxz_p1_0_m1 = t4705+(t4660+t4679*t4703)*x+t4770+t4536+t4736+t4863+ +t4882+t4901+t4934; + coeff_dxz_p2_0_m1 = t4526+t4771+(t4671+t4789)*x+t4721+t4868+t4899+t4931; + coeff_dxz_m1_p1_m1 = t4368+t4706+t4356+t4376+t4509+t4499+t4540+t4495+ +t4422+t4748+t4859+t4923; + coeff_dxz_0_p1_m1 = t4443+t4716+t4479+t4322+t4865+t4882+t4926; + coeff_dxz_p1_p1_m1 = t4344+t4573+t4508+t4579+t4707+t4440+(t4633*t4703+ +t4658)*t4695+t4571+t4347+t4741+t4864+t4902; + coeff_dxz_p2_p1_m1 = t4725+t4562+t4451+t4837+t4877+t4878+t4903; + coeff_dxz_m1_p2_m1 = t4587+t4542+t4531+t4715+t4504+t4371+t4413+t4747+ +t4880; + coeff_dxz_0_p2_m1 = t4535+t4528+t4721+t4909+t4911; + coeff_dxz_p1_p2_m1 = t4714+t4497+t4576+t4510+t4752+t4869+t4877; + coeff_dxz_p2_p2_m1 = t4491+t4486+t4692+(t4593+t4672)*t4695+t4746+t4913+ +t4919; + coeff_dxz_m1_m1_0 = t4483+t4482+t4353+t4553+t4401+t4309+t4310+t4753+t4861 ++t4888+t4898; + coeff_dxz_0_m1_0 = t4291+t4293+t4642*t4738+t4808+t4886+t4910+t4916; + coeff_dxz_p1_m1_0 = t4394+t4710+t4511+t4518+t4303+t4862+t4863; + coeff_dxz_p2_m1_0 = t4393+t4285+t4712+t4896+t4899; + coeff_dxz_m1_0_0 = t4762+t4466+(t4631*t4702+t4655+(t4623*t4702+t4627)* +t4701)*z+t4713+t4892+t4916+t4932; + coeff_dxz_0_0_0 = t4249+t4729*t4856+(t4729*t4703+(RATIONAL(75.0,2.0)* +t4700+t4649+RATIONAL(-125.0,2.0)*t4701)*z)*x+t4845+t4930; + coeff_dxz_p1_0_0 = t4323+t4763+t4477+(t4676+t4610*t4702+(t4606*t4702+ +t4650)*t4701)*z+t4719+t4731+t4894; + coeff_dxz_p2_0_0 = t4764+t4349+t4730*t4856+t4708+t4895; + coeff_dxz_m1_p1_0 = t4710+t4477+t4408+t4285+t4865+t4879+t4925; + coeff_dxz_0_p1_0 = t4303+t4327+t4296+(RATIONAL(-75.0,2.0)*t4700+t4639*y)* +t4858+t4734+t4894+t4897; + coeff_dxz_p1_p1_0 = t4483+t4249+t4532+t4291+t4466+t4722+t4654*t4784+t4751 ++t4874; + coeff_dxz_p2_p1_0 = t4309+t4380+t4717+t4889+t4912; + coeff_dxz_m1_p2_0 = t4518+t4488+t4724+t4896+t4911; + coeff_dxz_0_p2_0 = t4276+t4639*t4691+t4319+t4339+t4895+t4900; + coeff_dxz_p1_p2_0 = t4548+t4553+t4718+t4889+t4908; + coeff_dxz_p2_p2_0 = x*t4511+t4310+t4728+t4921; + coeff_dxz_m1_m1_p1 = t4514+t4542+t4706+t4533+t4381+t4511+t4375+t4408+ +t4589+t4695-t4833+t4870+t4885+t4927; + coeff_dxz_0_m1_p1 = t4528+t4716+t4545+t4362+t4296+t4862+t4867; + coeff_dxz_p1_m1_p1 = t4364+t4603+t4707+t4482+t4675*t4738+t4293+t4565+ +t4751+t4752+t4833+t4876; + coeff_dxz_p2_m1_p1 = t4575+t4348+t4399+t4725+t4380+t4491+t4860+t4871; + coeff_dxz_m1_0_p1 = x+t4705+t4566+t4499+t4765+(t4660+t4679*t4702)*z+t4731 ++t4867+t4879+t4931; + coeff_dxz_0_0_p1 = t4479+t4354+t4773+(t4676+t4610*t4703+(t4650+t4606* +t4703)*t4701)*x+t4719+t4736+t4897; + coeff_dxz_p1_0_p1 = t4525+t4722+(t4628*t4702+t4662)*z+(t4628*t4703+t4662+ +(t4635+RATIONAL(24.0,1.0)*t4700)*z)*x+t4571+t4739+t4749+t4881+t4930+t4932; + coeff_dxz_p2_0_p1 = t4772+t4562+(t4677+t4838)*x+t4720+t4866+t4912+t4915; + coeff_dxz_m1_p1_p1 = t4525+t4744+t4494+t4745+t4399-t4699+t4532+(t4658+ +t4633*t4702)*t4697+t4864+t4324+t4876+t4892+t4898+t4903; + coeff_dxz_0_p1_p1 = t4364+t4654*t4780+t4475+t4300+t4808+t4839+t4845+t4874 ++t4881+t4902; + coeff_dxz_p1_p1_p1 = t4354+t4394+t4514+t4734+t4566+t4699+t4323+t4362+( +t4637*t4702+t4656)*t4697+((t4637*t4703+t4656)*t4701+(RATIONAL(-24.0,1.0)*t4700+ +t4664*y+RATIONAL(32.0,1.0)*t4701)*z)*x+t4536+t4740+t4923+t4925+t4926; + coeff_dxz_p2_p1_p1 = t4459+t4711+t4349+t4526+t4495+t4612*t4780+t4375+ +t4393+t4811+t4883; + coeff_dxz_m1_p2_p1 = t4486+t4548+t4709-t4698+t4860+t4869+t4887; + coeff_dxz_0_p2_p1 = t4497+t4557+t4720+t4908+t4914; + coeff_dxz_p1_p2_p1 = t4587+t4711+t4696+t4664*t4691+t4488-t4697+t4589+ +t4535+t4276+t4698+t4872; + coeff_dxz_p2_p2_p1 = t4314+t4515+t4504+t4426+(t4666+t4584)*t4695+t4813+ +t4885+t4933; + coeff_dxz_m1_m1_p2 = t4523+t4554+t4433+t4382+t4415+t4748+t4796+t4836+ +t4875+t4880; + coeff_dxz_0_m1_p2 = t4322+t4377+t4712+t4909+t4929; + coeff_dxz_p1_m1_p2 = t4374+t4714+t4580+t4500+t4741+t4871+t4873; + coeff_dxz_p2_m1_p2 = t4446+t4361+t4677*t4738+t4727+t4837+t4919; + coeff_dxz_m1_0_p2 = t4761+t4546+(t4815+t4671)*z+t4724+t4868+t4901+t4929; + coeff_dxz_0_0_p2 = t4768+t4264+t4730*t4850+t4708+t4900; + coeff_dxz_p1_0_p2 = t4760+t4521+(t4677+t4810)*z+t4718+t4866+t4907+t4928; + coeff_dxz_p2_0_p2 = t4769+(t4803+t4934)*x+t4728+t4904+t4906; + coeff_dxz_m1_p1_p2 = t4573+t4521+t4361+t4709+t4754+t4873+t4878; + coeff_dxz_0_p1_p2 = t4317+t4374+t4717+t4914+t4928; + coeff_dxz_p1_p1_p2 = t4377+t4523+t4264+t4546+t4612*t4784+t4509+t4801+ +t4872+t4883+t4922+t4924; + coeff_dxz_p2_p1_p2 = t4426+t4382+t4452+t4356+(t4854+t4821)*t4858+t4726+ +t4812; + coeff_dxz_m1_p2_p2 = t4500+t4510+(t4672+t4588)*t4697+t4727+t4891+t4913; + coeff_dxz_0_p2_p2 = t4311+z*t4545+t4893+t4904+t4921; + coeff_dxz_p1_p2_p2 = t4314+t4531+t4453+t4391+(t4666+t4596)*t4697+t4726+ +t4796; + coeff_dxz_p2_p2_p2 = t4435+z*t4575+t4413+(t4580+(t4830+t4586)*z)*x+t4836; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-dy.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-dy.compute.c new file mode 100644 index 0000000..bb0c54f --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-dy.compute.c @@ -0,0 +1,1135 @@ +fp t2000, + t1999, + t2169, + t2099, + t1997, + t1998, + t2164, + t2155, + t1993, + t2118, + t1990, + t2259, + t2082, + t1996, + t2153, + t2098, + t1942, + t1589, + t1961, + t2106, + t2095, + t2258, + t1944, + t2112, + t2083, + t1974, + t2121, + t2257, + t1975, + t1959, + t2256, + t1963, + t2132, + t1902, + t2167, + t1965, + t1891, + t2255, + t2114, + t2101, + t1596, + t2254, + t2047, + t1978, + t2168, + t2094, + t1952, + t2253, + t2108, + t2040, + t1983, + t1648, + t2252, + t1982, + t2125, + t1947, + t2251, + t2048, + t1739, + t2250, + t2249, + t1948, + t1967, + t1909, + t2248, + t2115, + t1989, + t2247, + t1910, + t2085, + t1752, + t2246, + t1972, + t1847, + t2130, + t2245, + t2135, + t1938, + t2244, + t2173, + t1979, + t2103, + t1672, + t1977, + t2059, + t2243, + t1920, + t2242, + t1968, + t2104, + t2100, + t1980, + t1733, + t2241, + t1858, + t1863, + t2240, + t1946, + t1915, + t2086, + t1753, + t2239, + t1884, + t1888, + t2238, + t1956, + t2237, + t1937, + t2051, + t1570, + t1933, + t2236, + t1964, + t2133, + t2235, + t1836, + t1827, + t2234, + t2233, + t2172, + t2143, + t2147, + t2093, + t1724, + t2232, + t1971, + t2231, + t1939, + t1561, + t1798, + t2230, + t1969, + t1834, + t1835, + t2229, + t1832, + t2228, + t2227, + t1995, + t1987, + t2064, + t1584, + t2226, + t2161, + t1862, + t1940, + t1988, + t2225, + t2141, + t2089, + t1673, + t2224, + t1573, + t1951, + t2223, + t1931, + t2222, + t2221, + t1922, + t2220, + t1659, + t2219, + t2041, + t2149, + t1833, + t2218, + t1916, + t2217, + t1973, + t2107, + t2057, + t1686, + t2216, + t2215, + t2214, + t1737, + t2054, + t2213, + t1645, + t2212, + t2211, + t2170, + t2088, + t1588, + t2210, + t1707, + t1958, + t1711, + t2209, + t1949, + t2116, + t1819, + t2208, + t1926, + t2207, + t1966, + t1897, + t1903, + t2206, + t2156, + t1854, + t1661, + t2205, + t2204, + t1636, + t1991, + t2203, + t1912, + t2202, + t1627, + t2201, + t1954, + t1930, + t2200, + t1976, + t1783, + t2199, + t1953, + t2157, + t1839, + t2198, + t1984, + t2197, + t2196, + t1970, + t1955, + t2123, + t2171, + t2128, + t1876, + t2195, + t1634, + t2194, + t2193, + t1624, + t1823, + t1764, + t2192, + t2191, + t1815, + t2190, + t1689, + t2127, + t2189, + t2188, + t2092, + t2187, + t1923, + t1925, + t2186, + t1631, + t2185, + t2184, + t1986, + t2183, + t1906, + t1934, + t2182, + t2165, + t1864, + t2181, + t2180, + t1941, + t1921, + t1928, + t1813, + t2179, + t1674, + t1994, + t2178, + t2062, + t1656, + t2177, + t1795, + t1908, + t2176, + t1985, + t2131, + t1887, + t2175, + t2174, + t2166, + t2163, + t2162, + t1917, + t1962, + t2160, + t1950, + t2159, + t2158, + t1914, + t2154, + t1913, + t1992, + t2152, + t1777, + t1620, + t2151, + t1886, + t2150, + t2148, + t2146, + t2145, + t2144, + t1874, + t2142, + t2140, + t1695, + t2139, + t2137, + t1824, + t2136, + t2134, + t2126, + t2124, + t1696, + t2122, + t2120, + t2119, + t2117, + t2113, + t2111, + t2110, + t2109, + t2105, + t2102, + t1907, + t2097, + t2096, + t2091, + t2090, + t1901, + t1900, + t1842, + t1837, + t2087, + t1892, + t1825, + t1843, + t2081, + t2080, + t1600, + t2049, + t2079, + t2078, + t2077, + t2076, + t2075, + t2074, + t1566, + t2073, + t2072, + t1820, + t1840, + t2071, + t2070, + t2069, + t1894, + t1895, + t2068, + t1653, + t2067, + t1875, + t2066, + t1845, + t2065, + t1838, + t1818, + t1599, + t2063, + t2061, + t2060, + t2058, + t2056, + t2055, + t2053, + t2052, + t2050, + t2046, + t2045, + t2044, + t2043, + t2042, + t2039, + t2037, + t1943, + t2036, + t2035, + t2034, + t2033, + t2032, + t2031, + t2030, + t2029, + t1790, + t2027, + t1742, + t2026, + t2025, + t1665, + t2024, + t1698, + t2023, + t1730, + t2022, + t2021, + t1670, + t2020, + t2019, + t1932, + t1593, + t2018, + t1578, + t1981, + t1741, + t2017, + t1728, + t2016, + t2015, + t1936, + t1581, + t2014, + t2013, + t2012, + t2011, + t2010, + t1792, + t2009, + t1563, + t2008, + t2007, + t1960, + t2006, + t1668, + t2005, + t1957, + t1786, + t2004, + t2003, + t1945, + t1935, + t1929, + t1927, + t1924, + t1905, + t1893, + t1881, + t1873, + t1870, + t1869, + t1867, + t1860, + t1851, + t1822, + t1803, + t1801, + t1791, + t1789, + t1784, + t1781, + t1779, + t1774, + t1769, + t1767, + t1766, + t1762, + t1760, + t1757, + t1751, + t1749, + t1746, + t1744, + t1735, + t1731, + t1727, + t1726, + t1725, + t1722, + t1717, + t1714, + t1710, + t1709, + t1706, + t1705, + t1703, + t1699, + t1693, + t1691, + t1690, + t1687, + t1682, + t1680, + t1679, + t1676, + t1663, + t1658, + t1646, + t1644, + t1643, + t1633, + t1629, + t1625, + t1623, + t1606, + t1601, + t1597, + t1595, + t1594, + t1577, + t1576, + t1569, + t1568, + t1550; + t2000 = z*z; + t1999 = z*t2000; + t2169 = t1999+z; + t2099 = t2169*y; + t1997 = x*x; + t1998 = x*t1997; + t2164 = t1998+x; + t2155 = z*t1997; + t1993 = y*t2155; + t2118 = t1999*t1997; + t1990 = y*t2118; + t2259 = t1993+t1990; + t2082 = y*t2164; + t1996 = y*y; + t2153 = t1998*t1996; + t2098 = z*t2153; + t1942 = RATIONAL(27.0,8.0); + t1589 = t1942*t2098; + t1961 = RATIONAL(-9.0,2.0); + t2106 = t1997*t1996; + t2095 = z*t2106; + t2258 = t1589+t1961*t2095; + t1944 = RATIONAL(15.0,8.0); + t2112 = t2000*t1996; + t2083 = x*t2112; + t1974 = RATIONAL(-3.0,4.0); + t2121 = t1974*t1996; + t2257 = t1944*t2083+x*t2121; + t1975 = RATIONAL(-5.0,8.0); + t1959 = RATIONAL(1.0,4.0); + t2256 = t1959*t1999+t1975*t2118; + t1963 = RATIONAL(1.0,2.0); + t2132 = t1963*t1997; + t1902 = z*t2132; + t2167 = t1998*z; + t1965 = RATIONAL(-3.0,8.0); + t1891 = t1965*t2167; + t2255 = t1902+t1891; + t2114 = t1999*t1996; + t2101 = x*t2114; + t1596 = t1942*t2101; + t2254 = t1596+t1961*t2083; + t2047 = t2000*t2106; + t1978 = RATIONAL(5.0,4.0); + t2168 = y*t1978; + t2094 = t1998*t2168; + t1952 = RATIONAL(-9.0,4.0); + t2253 = t1999*t2094+t1952*t2047; + t2108 = t1998*t2000; + t2040 = t1996*t2108; + t1983 = RATIONAL(-9.0,8.0); + t1648 = t1983*t2040; + t2252 = t1978*t1990+t1648; + t1982 = RATIONAL(9.0,4.0); + t2125 = t1982*t1996; + t1947 = RATIONAL(-45.0,8.0); + t2251 = t1998*t2125+t1947*t2040; + t2048 = t1999*t2106; + t1739 = t1983*t2101; + t2250 = t1739+t1961*t2048; + t2249 = t1739+t1982*t2048; + t1948 = RATIONAL(-15.0,8.0); + t1967 = RATIONAL(3.0,4.0); + t1909 = t1967*t1998; + t2248 = t1948*t2108+t1909; + t2115 = t1998*t1999; + t1989 = y*t2115; + t2247 = t1959*t1989+t1974*t2047; + t1910 = t1974*t1999; + t2085 = y*t1910; + t1752 = t1998*t2085; + t2246 = t1752+t1944*t2047; + t1972 = RATIONAL(-1.0,8.0); + t1847 = t1972*t2167; + t2130 = t1959*t1997; + t2245 = t1847+z*t2130; + t2135 = t1996*t1952; + t1938 = RATIONAL(45.0,8.0); + t2244 = t1938*t2095+z*t2135; + t2173 = x*z; + t1979 = RATIONAL(3.0,8.0); + t2103 = t1979*t1996; + t1672 = t2103*t2173; + t1977 = RATIONAL(3.0,2.0); + t2059 = t1977*t2106; + t2243 = t1672+z*t2059; + t1920 = t1974*t1998; + t2242 = t1920+t1944*t2108; + t1968 = RATIONAL(-5.0,2.0); + t2104 = t2000*t1968; + t2100 = y*t2104; + t1980 = RATIONAL(9.0,8.0); + t1733 = t1980*t2048; + t2241 = t1998*t2100+t1733; + t1858 = t1979*t2167; + t1863 = t1977*t2108; + t2240 = t1858+t1863; + t1946 = RATIONAL(-15.0,4.0); + t1915 = t1967*t1999; + t2086 = y*t1915; + t1753 = t1998*t2086; + t2239 = t1946*t2047+t1753; + t1884 = t1965*t2115; + t1888 = t1963*t2118; + t2238 = t1884+t1888; + t1956 = RATIONAL(-5.0,1.0); + t2237 = t1942*t2040+t1956*t1990; + t1937 = RATIONAL(-27.0,8.0); + t2051 = t1937*t2153; + t1570 = z*t2051; + t1933 = RATIONAL(27.0,4.0); + t2236 = t1570+t1933*t2040; + t1964 = RATIONAL(-1.0,4.0); + t2133 = t1964*t1997; + t2235 = t1982*t2047+t2000*t2133; + t1836 = t1977*t2118; + t1827 = t1983*t2115; + t2234 = t1836+t1827; + t2233 = t1944*t2095+z*t2121; + t2172 = y*z; + t2143 = t1963*t2172; + t2147 = t1965*t1996; + t2093 = x*t2147; + t1724 = z*t2093; + t2232 = x*t2143+t1724; + t1971 = RATIONAL(5.0,8.0); + t2231 = t1964*t1999+t1971*t2118; + t1939 = RATIONAL(15.0,4.0); + t1561 = t1939*t1989; + t1798 = t1961*t2047; + t2230 = t1561+t1798; + t1969 = RATIONAL(-1.0,2.0); + t1834 = t1969*t2108; + t1835 = t1979*t2115; + t2229 = t1834+t1835; + t1832 = t1972*t2115; + t2228 = t1832+t1959*t2108; + t2227 = y*t1834+t1979*t2048; + t1995 = t1997*t2000; + t1987 = y*t1995; + t2064 = t1998*t2114; + t1584 = RATIONAL(-81.0,8.0)*t2064; + t2226 = RATIONAL(25.0,1.0)*t1987+t1584; + t2161 = y*t2000; + t1862 = t1956*t2161; + t1940 = RATIONAL(-15.0,2.0); + t1988 = y*t2108; + t2225 = t1862+t1940*t1988; + t2141 = t1983*t1996; + t2089 = z*t2141; + t1673 = t1998*t2089; + t2224 = t1961*t2040+t1673; + t1573 = t1942*t2064; + t1951 = RATIONAL(-4.0,1.0); + t2223 = t1951*t1987+t1573; + t1931 = RATIONAL(-45.0,4.0); + t2222 = t1931*t2047+t1561; + t2221 = t1940*t2047+t1982*t1989; + t1922 = RATIONAL(-135.0,8.0); + t2220 = t1933*t2114+t1922*t2048; + t1659 = t1996*t1827; + t2219 = t1987+t1659; + t2041 = t1948*t2112; + t2149 = t1967*t1996; + t1833 = x*t2149; + t2218 = x*t2041+t1833; + t1916 = t1964*t1998; + t2217 = t1971*t2108+t1916; + t1973 = RATIONAL(9.0,2.0); + t2107 = t1999*t1980; + t2057 = t1996*t2107; + t1686 = x*t2057; + t2216 = t1973*t2048+t1686; + t2215 = t1998*t2149+t1948*t2040; + t2214 = t1938*t2040+t1998*t2135; + t1737 = t1980*t1996*t2173; + t2054 = t1952*t2112; + t2213 = x*t2054+t1737; + t1645 = t1980*t2040; + t2212 = t1645+t1968*t1990; + t2211 = t1686+t1952*t2048; + t2170 = t1998*y; + t2088 = t1946*t2170; + t1588 = t1999*t2088; + t2210 = t1938*t2047+t1588; + t1707 = t1973*t2047; + t1958 = RATIONAL(-3.0,1.0); + t1711 = t1958*t1989; + t2209 = t1707+t1711; + t1949 = RATIONAL(5.0,2.0); + t2116 = t1997*t1949; + t1819 = y*t2116; + t2208 = t1939*t1990+t1819; + t1926 = RATIONAL(45.0,4.0); + t2207 = t1926*t1989+RATIONAL(-45.0,2.0)*t2047; + t1966 = RATIONAL(-3.0,2.0); + t1897 = t1966*t2118; + t1903 = t1998*t2107; + t2206 = t1897+t1903; + t2156 = x*t1999; + t1854 = t1979*t2156; + t1661 = t1996*t1854; + t2205 = t1661+t1977*t2048; + t2204 = t1938*t2048+t1952*t2114; + t1636 = t1999*t2093; + t1991 = y*t2156; + t2203 = t1636+t1963*t1991; + t1912 = t1959*z; + t2202 = t1912+t1975*t2155; + t1627 = t1952*t2040; + t2201 = t1627+t2169*t1819; + t1954 = RATIONAL(5.0,1.0); + t1930 = RATIONAL(-27.0,4.0); + t2200 = t1930*t2040+t2259*t1954; + t1976 = RATIONAL(3.0,1.0); + t1783 = t1976*t1989; + t2199 = t1947*t2047+t1971*t1995+t1783; + t1953 = RATIONAL(-2.0,1.0); + t2157 = t1953*y; + t1839 = t2000*t2157; + t2198 = z*t2133+t2164*t1839; + t1984 = RATIONAL(-9.0,1.0); + t2197 = RATIONAL(45.0,2.0)*t2047+t1984*t1989+t1997*t2104; + t2196 = t1998*t2121+y*t1897+t1944*t2040; + t1970 = RATIONAL(-6.0,1.0); + t1955 = RATIONAL(2.0,1.0); + t2123 = t1955*t2000; + t2171 = x*y; + t2128 = t1969*t1997; + t1876 = z*t2128; + t2195 = t1970*t1988+t1876+t2123*t2171; + t1634 = t1980*t2098; + t2194 = t1627+t1634+t2259; + t2193 = t1995+t1984*t2047+t1783; + t1624 = t1966*t1989; + t1823 = t2000*t2132; + t1764 = t1977*t2047; + t2192 = t1624+t1823+t1764; + t2191 = t1974*t2040+(t1888+t1902)*y; + t1815 = t1966*t2108; + t2190 = t1944*t2048+y*t1815+t1974*t2114; + t1689 = t1973*t2040; + t2127 = t1978*t1997; + t2189 = t1689+t2127*t2172+t1946*t1990; + t2188 = t1969*t1989+t2000*t2130+t1967*t2047; + t2092 = t1954*t2161; + t2187 = t1930*t2048+t2164*t2092; + t1923 = RATIONAL(-27.0,2.0); + t1925 = RATIONAL(15.0,1.0); + t2186 = t1925*t1988+x*t1862+t1923*t2048; + t1631 = t1976*t1988; + t2185 = t1631+t2250; + t2184 = t1939*t2047+t1624+t2000*t2127; + t1986 = x*t2161; + t2183 = t1986+t1988+t2211; + t1906 = t2000*t2116; + t1934 = RATIONAL(15.0,2.0); + t2182 = t1906+t1934*t2047+t1961*t1989; + t2165 = x*t2000; + t1864 = t1969*t2165; + t2181 = t1966*t2048+(t1863+t1864)*y; + t2180 = t1934*t1990+t1968*t1993+t2224; + t1941 = RATIONAL(-15.0,1.0); + t1921 = RATIONAL(135.0,8.0); + t1928 = RATIONAL(-10.0,1.0); + t1813 = t1928*t2161; + t2179 = t1941*t1988+t1930*t2114+t1921*t2048+t1813; + t1674 = t1977*t1989; + t1994 = z*t2171; + t2178 = t1674-t1995+t1969*t1994+t1958*t2047; + t2062 = t1998*t2147; + t1656 = z*t2062; + t2177 = t1656+t1966*t2040+(t1876+t1836)*y; + t1795 = t1958*t1990; + t1908 = t1997*t2157; + t2176 = t1795+t1908+t2214; + t1985 = RATIONAL(-5.0,4.0); + t2131 = t1985*t1997; + t1887 = t2000*t2131; + t2175 = t1926*t2047+t1884+t1711+t1887; + t2174 = x*t2100+t1934*t1988+t2250; + t2166 = y*t1999; + t2163 = t1997*y; + t2162 = x*t1972; + t1917 = t1964*x; + t1962 = RATIONAL(1.0,8.0); + t2160 = x*t1962; + t1950 = RATIONAL(4.0,1.0); + t2159 = t1950*y; + t2158 = y*t1985; + t1914 = t1959*x; + t2154 = t1955*y; + t1913 = t1959*t1998; + t1992 = y*t2167; + t2152 = t1965*t2108+t1835; + t1777 = t1997*t1839; + t1620 = t1998*t2057; + t2151 = t1777+t1620; + t1886 = t1962*t2156; + t2150 = t2000*t2162+t1886; + t2148 = t1998+t1999; + t2146 = t1955*t1997; + t2145 = -t1991-t1994; + t2144 = t1977*t1998; + t1874 = t1962*t2115; + t2142 = t1874+t1972*t2108; + t2140 = -t1989-t1992; + t1695 = t1996*t1835; + t2139 = t1965*t2048+t1695; + t2137 = t1958*t1998; + t1824 = t2000*t2128; + t2136 = -t1986+t1824; + t2134 = t1985*t1992+t1634; + t2126 = t1983*t2048+t1620; + t2124 = y*t1914; + t1696 = t1979*t2098; + t2122 = t1965*t2095+t1696; + t2120 = t1962*t2108+t1832; + t2119 = -t1988-t1990; + t2117 = x*t2168; + t2113 = t1636+t1999*t2124; + t2111 = x*t2158; + t2110 = t2000*t1975; + t2109 = t1969*t1998; + t2105 = t1973*t1996; + t2102 = t1974*t1997; + t1907 = t1956*t2163; + t2097 = t1939*t2170; + t2096 = t1998*t2154; + t2091 = t1999*t2158; + t2090 = y*t2146; + t1901 = t1997*t2159; + t1900 = t2000*t2159; + t1842 = t1949*t2161; + t1837 = t1963*t2165; + t2087 = y*t1916; + t1892 = z*t2125; + t1825 = x*t2125; + t1843 = z*t2149; + t2081 = t1978*t2161; + t2080 = t1825+t1947*t2083+t1596; + t1600 = t1937*t2101; + t2049 = t2000*t2105; + t2079 = t1737+t1600+x*t2049; + t2078 = t1974*t2112; + t2077 = t1573+t1947*t2048+t1982*t2114; + t2076 = t1982*t2040+t1659+t1673; + t2075 = t1620+t1967*t2114+t1948*t2048; + t2074 = t1835+t1974*t2108+t1858; + t1566 = t1999*t2051; + t2073 = t1566+t2216; + t2072 = t1634+t1948*t2095+t1843; + t1820 = t1972*t2156; + t1840 = z*t2162; + t2071 = t1820+t1840+t2000*t1914; + t2070 = t1600+x*t2135+t1938*t2083; + t2069 = t1659+t2249; + t1894 = z*t2160; + t1895 = t1965*t2156; + t2068 = t1894+t1895+t1837; + t1653 = t1999*t2062; + t2067 = t1653+t1656+t1967*t2040; + t1875 = t1962*t2167; + t2066 = t1874+t1875+t1964*t2108; + t1845 = t1963*t2108; + t2065 = t1884+t1845+t1875; + t1838 = t1969*t2118; + t1818 = t1959*t2118; + t1599 = RATIONAL(81.0,8.0)*t2064; + t2063 = t1922*t2040+t1933*t2153+t1599; + t2061 = t1997*t2105; + t2060 = t1952*t2106; + t2058 = t1996*t2102; + t2056 = t1914+t1854+x*t2110; + t2055 = t1835+t1913+t1975*t2108; + t2053 = t1910+t1944*t2118+t1827; + t2052 = t1573+t2251; + t2050 = t1977*t2112; + t2046 = t1566+t2204; + t2045 = z*t2058+t1672+t1696; + t2044 = t1976*t2112; + t2043 = t1589+t1892+t1947*t2095; + t2042 = t1915+t1903+t1948*t2118; + t2039 = t2000*t2103; + t2037 = t2000*t2082; + t1943 = RATIONAL(25.0,4.0); + t2036 = t1968+t1943*t1997; + t2035 = t1969+t1966*t1996; + t2034 = t1963+t1961*t1996; + t2033 = t1997*t2099; + t2032 = t1978+t1939*t1996; + t2031 = t1943*t2000+t1968; + t2030 = t1926*t1996+t1985; + t2029 = t2125+t1964; + t1790 = t1997*t2092; + t2027 = t1790+t1998*t1862+t1942*t2048+t1566; + t1742 = y*t1823; + t2026 = t1653+t1998*t2039+y*t1838+t1742; + t2025 = -y+t2149+t1959; + t1665 = t1966*t2047; + t2024 = t1665+t1753+t2219; + t1698 = y*t1887; + t2023 = t1698+t1998*t2081+t2126; + t1730 = y*t1906; + t2022 = t2000*t2111+t1985*t1988+t1730+t2069; + t2021 = t1820+t2000*t2160+t1648+t1999*t2090+t2151; + t1670 = t1958*t1988; + t2020 = t1790+t1670+t1839+t2046; + t2019 = t2000*t2096+t1962*t2155+t1777+t1847+t2126; + t1932 = RATIONAL(-25.0,4.0); + t1593 = t1932*t1987; + t2018 = t1593+t1842+t2000*t2097+t2077; + t1578 = t1997*t1813; + t1981 = RATIONAL(9.0,1.0); + t1741 = x*t2089; + t2017 = t1578+t1573+z*t2117+t1741+t1981*t2047+t1588; + t1728 = t1976*t1990; + t2016 = t1728-t1993+t2223+t2224; + t2015 = t1790+t2000*t2088+x*t2081+t2073; + t1936 = RATIONAL(25.0,2.0); + t1581 = t1936*t1987; + t2014 = t1940*t1990+t1581+t1566+t1907+t2214; + t2013 = t1674+t1659+t1884+t1730+(t2110+t2041)*t1997; + t2012 = t1752+t1997*t2044+z*t2124+t1724+t2151; + t2011 = t1941*t1990+t1921*t2040+t1928*t2163+t1930*t2153+t2226; + t2010 = t1730+t2076+t2131*t2099; + t1792 = t1997*t1862; + t2009 = t2211+t1792+t1620+t2164*t1842; + t1563 = RATIONAL(-20.0,1.0)*t1987; + t2008 = t1570+t1563+t1923*t2040+z*t1907+t1925*t1990+t1599; + t2007 = t1974*t2048-t1987+t1695+t1661+(t1845+t1837)*y; + t1960 = RATIONAL(6.0,1.0); + t2006 = t1900+t1578+t1960*t1988+t1971*t2155+t1891+t1964*z+t2077; + t1668 = t1997*t1900; + t2005 = z*t1908+t1894+t2000*t1917+t1953*t1990+t1886+t1668+t2076; + t1957 = RATIONAL(8.0,1.0); + t1786 = t1957*t1987; + t2004 = t1840+t1689+t1970*t1990+t1864+t1854+t1566+t1634+t1786+z*t2090; + t2003 = t1578+t1971*t2165+t1895+t1917+t1901+t1960*t1990+t2052; + t1945 = RATIONAL(75.0,4.0); + t1935 = RATIONAL(-12.0,1.0); + t1929 = RATIONAL(-75.0,4.0); + t1927 = RATIONAL(27.0,2.0); + t1924 = RATIONAL(12.0,1.0); + t1905 = t1965*t2118; + t1893 = t1967*t2108; + t1881 = t1979*t2118; + t1873 = t1972*t2155; + t1870 = t1979*t2108; + t1869 = t1972*t2118; + t1867 = t1967*t2118; + t1860 = t1962*t2118; + t1851 = t1999*t2102; + t1822 = t1964*t2118; + t1803 = t1973*t1989; + t1801 = t1997*t1892; + t1791 = t1977*t1991; + t1789 = t1976*t1992; + t1784 = z*t2061; + t1781 = x*t2078; + t1779 = x*t2086; + t1774 = t1997*t2089; + t1769 = t1964*t1991; + t1767 = t1965*t2083; + t1766 = z*t2087; + t1762 = t1967*t1992; + t1760 = t1999*t2087; + t1757 = t1974*t1992; + t1751 = t1966*t2095; + t1749 = t1917*t2172; + t1746 = t1959*t1992; + t1744 = t1963*t1989; + t1735 = z*t2094; + t1731 = t1980*t2095; + t1727 = t1966*t1991; + t1726 = t1958*t1991; + t1725 = t1952*t1989; + t1722 = t2000*t1825; + t1717 = t1999*t2117; + t1714 = t1997*t1843; + t1710 = t1976*t1991; + t1709 = z*t2060; + t1706 = t1981*t1989; + t1705 = t1983*t2083; + t1703 = x*t2085; + t1699 = t1966*t2083; + t1693 = t2109*t2172; + t1691 = x*t2091; + t1690 = z*t2111; + t1687 = t1998*t2091; + t1682 = x*t2050; + t1680 = t1977*t2040; + t1679 = t1979*t2095; + t1676 = t1965*t2040; + t1663 = t2144*t2172; + t1658 = t1969*t1991; + t1646 = x*t2039; + t1644 = t1967*t2048; + t1643 = t1980*t2083; + t1633 = t1998*t2143; + t1629 = t1966*t1992; + t1625 = t2137*t2172; + t1623 = t2000*t1833; + t1606 = t1933*t2048; + t1601 = t1939*t1991; + t1597 = t1931*t1989; + t1595 = t1927*t2048; + t1594 = t1946*t1991; + t1577 = t1937*t2048; + t1576 = z*t2088; + t1569 = z*t2097; + t1568 = t1927*t2040; + t1550 = t1937*t2040; + coeff_dy_m1_m1_m1 = t1644+t1665+t2000*t2090+t2067-t1993+t2119+t1623+t2071 ++t2136+t1714+t1818+t1633+t1744+t2203+t2228+t2232+t2245; + coeff_dy_0_m1_m1 = t2072+t1629+t2074+t1631+t1792+t2035*t2000+(t2123-t2169 +)*y+t2075+t2184+t2201+t2202+t2256; + coeff_dy_p1_m1_m1 = t1663+t1986+t1670+t1658+t1781+t2005+t1893+t2178+t2205 ++t2238+t2243+t2255; + coeff_dy_p2_m1_m1 = -t1987+t1988+t1869+t1873+t1693+t2066+t2122+t2139+ +t2188+t2191; + coeff_dy_m1_0_m1 = t1690+t1707+t1709+t1691+t2009+t1687+t2134+t2201+t2213; + coeff_dy_0_0_m1 = t1569+t2049+t1581+t2046+(t1949+t1932*t1997)*t2099+t2222 ++t2225+t2236+t2244; + coeff_dy_p1_0_m1 = t1722+t2017+t1576+t1717+t2174+t2200+t2258; + coeff_dy_p2_0_m1 = t1735+t1731+t2010+t2241+t2253; + coeff_dy_m1_p1_m1 = t1822+t1722+t1741+t2005+t1798+t1801+t1823+t2066-t2140 +-t2145+t2198+t2249; + coeff_dy_0_p1_m1 = t2006+t2034*t2000+t1953*t2099+t1893+t1625+t2043+t2175+ +t2200+t2231; + coeff_dy_p1_p1_m1 = t1789+t1784+t2074+t1951*t2033+t2073+t1786+t2071+t1838 ++t2145+t2193+t2195+t2213+t2236; + coeff_dy_p2_p1_m1 = t1860+t2019+t1774+t2140+t2194+t2228+t2235; + coeff_dy_m1_p2_m1 = t2007+t1766+t1749+t1781+t1769+t1760+t1764+t2045+t2191 +; + coeff_dy_0_p2_m1 = t1762+t2050+(-t2000+t2169*t1963)*y+t2010+t2190+t2233+ +t2239; + coeff_dy_p1_p2_m1 = t2012+t1757+t1623+t1751+t2113+t2181+t2194; + coeff_dy_p2_p2_m1 = t1679+t1746+t1742+t1964*t2033+t2067+t2227+t2247; + coeff_dy_m1_m1_0 = t1728+(t2146-t2164)*y+t2035*t1997+t1727+t2009+t1851+ +t2055+t2056+t2184+t2215+t2218; + coeff_dy_0_m1_0 = t2014+t2032*t1997+(t1955+t2148*t1976)*y+((RATIONAL( +-25.0,8.0)+RATIONAL(-75.0,8.0)*t1996)*t1997+t2032)*t2000+t1803+t2035+t2053+ +t2204+t2225+t2242; + coeff_dy_p1_m1_0 = t2003+(t2137+x)*y-t1997+t1958*t2106+t1791+t2174+t2182+ +t2206+t2248+t2257; + coeff_dy_p2_m1_0 = t1881+t2170+t2025*t1997+t2013+t2196+t2217+t2241; + coeff_dy_m1_0_0 = t1601+t1606+t2061+(t1932*t2000+t1949)*t2082+t2014+t2070 ++t2222; + coeff_dy_0_0_0 = t1597+(t1931*t1997+t1973+(RATIONAL(225.0,8.0)*t1997+ +t1931)*t2000)*t1996+(t1940*t1998+t1936*t1997+t1956+(t1940+t1945*t1997)*t1999+( +t1936+RATIONAL(-125.0,4.0)*t1997+t1945*t1998)*t2000)*y+t2063+t2220; + coeff_dy_p1_0_0 = t1594+t1595+t1981*t2106+((t1934+t1929*t2000)*t1998+ +t2031*x)*y+t2011+t2080+t2207; + coeff_dy_p2_0_0 = t1593+t2060+t1577+t2031*t2170+t2052+t2208+t2210; + coeff_dy_m1_p1_0 = t1953*t2082+t2034*t1997+t2003+t1867+t1726+t2080+t2175+ +t2187+t2217; + coeff_dy_0_p1_0 = t1706+(t1950+t2148*t1960)*y+t2011+((RATIONAL(-225.0,8.0 +)*t1996+RATIONAL(25.0,8.0))*t1997+t2030)*t2000+t2030*t1997+t2034+t2042+t2179+ +t2248; + coeff_dy_p1_p1_0 = t1563+t1710+t2063+t2056+(t1970*t1998+t1955*x+(t1957+ +t1924*t1999)*t1997)*y+t1997+t1984*t2106+t2070+t2186+t2197+t2234+t2242; + coeff_dy_p2_p1_0 = t2096+t1905+t2029*t1997+t2027+t2055+t2176+t2199; + coeff_dy_m1_p2_0 = t2059+t1779+(-t1997+t2164*t1963)*y+t2022+t2196+t2239+ +t2257; + coeff_dy_0_p2_0 = t1725+(-1.0+t2148*t1966)*y+(t1977+RATIONAL(75.0,8.0)* +t1995+(t1997+t2000)*t1946)*t1996+t2018+t2208+t2251; + coeff_dy_p1_p2_0 = t1976*t2106+t1703+(t1969*x+t2144)*y+t2015+t2176+t2218+ +t2221; + coeff_dy_p2_p2_0 = t2058+(t2109+(t1915+t1963)*t1997)*y+t2023+t2215+t2246; + coeff_dy_m1_m1_p1 = t1680+t2045+t2069+t1693+t1795+t1993+t1682+t1867+t1668 ++t2065+t2068+t1791+t2178+t2198; + coeff_dy_0_m1_p1 = (t1958*t1999+z)*y+t1663+t2006+t1815-t2000+t1958*t2112+ +t2042+t2180+t2182+t2233; + coeff_dy_p1_m1_p1 = t1629+t1727+t2004+(t1953+t1970*t1996)*t1995+t1751+ +t1803+t1699+t2195+t2216+t2232+t2234+t2240; + coeff_dy_p2_m1_p1 = t1905+t2019+t1679+t1633+t2177+t2192+t2229; + coeff_dy_m1_0_p1 = t1594+t2017+t1801+t1735+t2180+t2187+t2254; + coeff_dy_0_0_p1 = t1981*t2112+t1568+t1576+((t1934+t1929*t1997)*t1999+ +t2036*z)*y+t2043+t2179+t2207+t2226; + coeff_dy_p1_0_p1 = t1690+t1601+RATIONAL(18.0,1.0)*t2047+t1569+t1784+t1597 ++t2008+t2079+t2186; + coeff_dy_p2_0_p1 = t1774+t2027+t2134+t2189+t2230; + coeff_dy_m1_p1_p1 = t1710+t1951*t2037-t1992+t1606+t1709-t1994+t2004+t1851 ++t2079+t2193+t2229+t2245; + coeff_dy_0_p1_p1 = t1789+t2000+t2008+(t1970*t1999+t1955*z+(t1957+t1924* +t1998)*t2000)*y+t1984*t2112+t2053+t2197+t2202+t2220+t2240+t2244; + coeff_dy_p1_p1_p1 = t1595+t1706+t1815+t1994+(RATIONAL(-18.0,1.0)*t1996+ +t1955)*t1995+((t1950*z+t1935*t1999)*t1997+(t1935*t1998+t1950*x+RATIONAL(16.0, +1.0)*t1997)*t2000)*y+t1741+t1584+t1568+t2068+t1625+t1726+t2206+t2254+t2255+ +t2258; + coeff_dy_p2_p1_p1 = t1824+t1992+t1731+t2016+t1577+t1881+t1873+t1998*t1900 ++t2065+t2209; + coeff_dy_m1_p2_p1 = t1746+t2012+t1703+t1714+t1699+t2177+t2183; + coeff_dy_0_p2_p1 = t2044+t1757+(t1969*z+t1977*t1999)*y+t2020+t2072+t2189+ +t2221; + coeff_dy_p1_p2_p1 = t1725+t1960*t2047-t1986+t1749+t1682+t2016+t1762+t1779 ++t2185+t2243; + coeff_dy_p2_p2_p1 = t1680+t1733+t1766-t1988+(t1912+t1910)*t2163+t2024+ +t2122; + coeff_dy_m1_m1_p2 = t2007+t1822+t1676+t1658+t1767+t1990+t2142+t2150+t2188 +; + coeff_dy_0_m1_p2 = t1870+t2166+t2025*t2000+t2013+t2190+t2212+t2231; + coeff_dy_p1_m1_p2 = t2021+t1646+t1838+t2152+t2181+t2192+t2203; + coeff_dy_p2_m1_p2 = t1860+t1744+(t2147+t1972)*t1995+t2026+t2120+t2227; + coeff_dy_m1_0_p2 = t1717+t1643+t2022+t2212+t2253; + coeff_dy_0_0_p2 = t2054+t1550+t2036*t2166+t2018+t2210; + coeff_dy_p1_0_p2 = t1691+t1705+t2015+t2230+t2237; + coeff_dy_p2_0_p2 = t1980*t2047+t1687+t2023+t2252; + coeff_dy_m1_p1_p2 = -t1991-t1989+t2021+t1705+t1818+t2120+t2183+t2235; + coeff_dy_0_p1_p2 = t1999*t2154+t2029*t2000+t2020+t2152+t2199+t2237+t2256; + coeff_dy_p1_p1_p2 = t1991+t1999*t1901+t1550+t1643+t1870+t2136+t2150+t2185 ++t2209+t2223+t2238; + coeff_dy_p2_p1_p2 = t1869+t1733+t1989+t1645+(t1962+t2141)*t1995+t2119+ +t2142+t2219; + coeff_dy_m1_p2_p2 = t1644+t1646+t1964*t2037+t2026+t2113+t2247; + coeff_dy_0_p2_p2 = t2078+t1698+(t1969*t1999+(t1909+t1963)*t2000)*y+t2075+ +t2246+t2252; + coeff_dy_p1_p2_p2 = t1769+t1767-t1990+t1645+(t1914+t1920)*t2161+t2024+ +t2205; + coeff_dy_p2_p2_p2 = t1997*t2039+t1760+t1676+(t1818+(t2133+t1913)*t2000)*y ++t2139; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-dyy.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-dyy.compute.c new file mode 100644 index 0000000..b35cd56 --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-dyy.compute.c @@ -0,0 +1,972 @@ +fp t5299, + t5296, + t5297, + t5457, + t5536, + t5298, + t5456, + t5450, + t5243, + t5369, + t5278, + t5453, + t5535, + t5264, + t5277, + t5534, + t5239, + t5442, + t5291, + t5380, + t5231, + t5532, + t5274, + t5438, + t5348, + t5276, + t5531, + t5287, + t5292, + t5370, + t5285, + t5530, + t5236, + t5270, + t5459, + t5295, + t5415, + t5529, + t5444, + t5350, + t5246, + t5452, + t5377, + t4964, + t5528, + t5256, + t5416, + t5353, + t5281, + t5455, + t5527, + t5526, + t5402, + t5261, + t5366, + t5030, + t5525, + t5267, + t5395, + t5191, + t5232, + t5524, + t5392, + t5076, + t5523, + t5275, + t5420, + t5284, + t5372, + t5063, + t5522, + t5521, + t5129, + t5253, + t5520, + t5430, + t5082, + t5519, + t5260, + t5454, + t5371, + t4991, + t5518, + t4979, + t5383, + t5517, + t5283, + t5361, + t5040, + t5516, + t5195, + t5252, + t5515, + t5282, + t5514, + t5251, + t5400, + t5071, + t5238, + t5513, + t5273, + t5462, + t5512, + t5458, + t5384, + t5290, + t5242, + t4988, + t5511, + t5447, + t5357, + t5017, + t5510, + t5509, + t5235, + t5508, + t5507, + t5058, + t5506, + t5351, + t5505, + t5373, + t4978, + t5237, + t5504, + t5124, + t5463, + t5376, + t5503, + t5398, + t5379, + t4999, + t5502, + t4968, + t5249, + t5501, + t5359, + t5279, + t5405, + t5349, + t5013, + t5500, + t5421, + t5461, + t5404, + t5041, + t5499, + t5498, + t5012, + t5286, + t5387, + t5497, + t5394, + t5356, + t5268, + t5409, + t5496, + t5432, + t5495, + t5090, + t5375, + t4967, + t5494, + t5010, + t5393, + t5493, + t5146, + t5492, + t5391, + t5491, + t5367, + t4998, + t5490, + t5265, + t5224, + t5489, + t5227, + t5488, + t5293, + t5288, + t5418, + t5039, + t5487, + t5258, + t5228, + t5406, + t5077, + t5486, + t5066, + t5485, + t5247, + t5065, + t5484, + t5263, + t5449, + t5072, + t5483, + t5381, + t5060, + t5280, + t5407, + t5140, + t5482, + t5120, + t5032, + t5262, + t5229, + t5481, + t5257, + t5480, + t5414, + t5083, + t5479, + t5354, + t5061, + t5478, + t5135, + t5176, + t5477, + t5003, + t5476, + t5448, + t5360, + t5451, + t5475, + t5271, + t5403, + t5389, + t5189, + t5474, + t5226, + t5289, + t5008, + t5473, + t5007, + t5472, + t5240, + t5220, + t5230, + t5471, + t5470, + t5429, + t5080, + t5469, + t5180, + t5468, + t5440, + t5364, + t5018, + t5177, + t5467, + t5223, + t5466, + t5294, + t5465, + t5464, + t5446, + t5445, + t5443, + t5424, + t5045, + t5441, + t5259, + t5222, + t5005, + t5437, + t5026, + t5365, + t5436, + t5023, + t5435, + t5434, + t5269, + t5433, + t5431, + t5428, + t5142, + t5020, + t5427, + t5425, + t5244, + t5423, + t5422, + t5205, + t5419, + t5106, + t5417, + t5178, + t5413, + t5412, + t5051, + t5411, + t5038, + t5410, + t5408, + t5225, + t5158, + t5401, + t5374, + t5397, + t5396, + t5390, + t5272, + t5388, + t5386, + t5385, + t5382, + t5166, + t5378, + t5368, + t5363, + t5362, + t5358, + t5355, + t5250, + t5352, + t5347, + t5029, + t5346, + t5345, + t5167, + t5344, + t5102, + t5343, + t5342, + t4983, + t5341, + t5015, + t5339, + t5338, + t5337, + t5019, + t5336, + t5335, + t4994, + t5334, + t5333, + t5153, + t5245, + t5266, + t5332, + t5331, + t5241, + t5330, + t5254, + t5327, + t5326, + t5325, + t5324, + t5323, + t5322, + t5149, + t5321, + t5152, + t5320, + t5053, + t5319, + t5318, + t5150, + t5317, + t5316, + t5093, + t5315, + t5314, + t5313, + t5312, + t5157, + t5311, + t5310, + t5084, + t5309, + t5308, + t5143, + t5307, + t5085, + t5306, + t5305, + t5079, + t5304, + t5303, + t5302, + t5255, + t5248, + t5234, + t5215, + t5198, + t5187, + t5186, + t5183, + t5182, + t5174, + t5173, + t5165, + t5163, + t5161, + t5159, + t5147, + t5141, + t5138, + t5134, + t5127, + t5125, + t5122, + t5119, + t5113, + t5109, + t5105, + t5104, + t5103, + t5101, + t5097, + t5095, + t5092, + t5086, + t5078, + t5070, + t5068, + t5062, + t5057, + t5055, + t5049, + t5046, + t5044, + t5043, + t5042, + t5034, + t5031, + t5014, + t5006, + t5002, + t5001, + t5000, + t4997, + t4993, + t4992, + t4990, + t4958, + t4957, + t4953, + t4943; + t5299 = z*z; + t5296 = x*x; + t5297 = x*t5296; + t5457 = t5297+x; + t5536 = t5299*t5457; + t5298 = z*t5299; + t5456 = t5298+z; + t5450 = y*t5296; + t5243 = RATIONAL(-45.0,4.0); + t5369 = t5243*t5450; + t5278 = RATIONAL(9.0,2.0); + t5453 = y*t5278; + t5535 = t5369+t5453; + t5264 = RATIONAL(2.0,1.0); + t5277 = RATIONAL(-6.0,1.0); + t5534 = t5264*x+t5277*t5297; + t5239 = RATIONAL(27.0,2.0); + t5442 = y*t5239; + t5291 = t5298*t5296; + t5380 = y*t5291; + t5231 = RATIONAL(-135.0,4.0); + t5532 = t5298*t5442+t5231*t5380; + t5274 = RATIONAL(3.0,4.0); + t5438 = t5274*t5297; + t5348 = y*t5438; + t5276 = RATIONAL(-1.0,2.0); + t5531 = t5299*t5348+t5276*t5291; + t5287 = t5298*t5297; + t5292 = t5296*t5299; + t5370 = y*t5292; + t5285 = RATIONAL(-9.0,1.0); + t5530 = RATIONAL(45.0,1.0)*t5370+t5285*t5287; + t5236 = RATIONAL(45.0,4.0); + t5270 = RATIONAL(-9.0,2.0); + t5459 = y*t5270; + t5295 = t5296*z; + t5415 = y*t5295; + t5529 = z*t5459+t5236*t5415; + t5444 = t5285*y; + t5350 = t5296*t5444; + t5246 = RATIONAL(27.0,4.0); + t5452 = y*t5297; + t5377 = t5246*t5452; + t4964 = z*t5377; + t5528 = z*t5350+t4964; + t5256 = RATIONAL(-15.0,4.0); + t5416 = t5299*t5256; + t5353 = y*t5416; + t5281 = RATIONAL(3.0,2.0); + t5455 = y*t5281; + t5527 = (t5353+t5455)*x; + t5526 = RATIONAL(-45.0,1.0)*t5370+t5236*t5287; + t5402 = t5264*t5296; + t5261 = RATIONAL(-9.0,4.0); + t5366 = t5261*t5452; + t5030 = t5299*t5366; + t5525 = t5030+t5298*t5402; + t5267 = RATIONAL(-3.0,1.0); + t5395 = t5267*t5297; + t5191 = t5298*t5395; + t5232 = RATIONAL(45.0,2.0); + t5524 = t5232*t5370+t5191; + t5392 = t5281*t5297; + t5076 = t5297*t5416; + t5523 = (t5392+t5076)*y; + t5275 = RATIONAL(-5.0,2.0); + t5420 = t5299*t5275; + t5284 = RATIONAL(9.0,4.0); + t5372 = t5284*t5450; + t5063 = t5298*t5372; + t5522 = t5063+t5297*t5420; + t5521 = t5535*t5298; + t5129 = t5284*t5287; + t5253 = RATIONAL(-15.0,1.0); + t5520 = t5129+t5253*t5370; + t5430 = t5281*t5298; + t5082 = t5256*t5291; + t5519 = (t5430+t5082)*y; + t5260 = RATIONAL(-4.0,1.0); + t5454 = y*t5298; + t5371 = t5246*t5454; + t4991 = t5297*t5371; + t5518 = t5260*t5292+t4991; + t4979 = x*t5371; + t5383 = t5299*t5444; + t5517 = t4979+x*t5383; + t5283 = RATIONAL(9.0,1.0); + t5361 = t5283*t5450; + t5040 = t5299*t5361; + t5516 = t5191+t5040; + t5195 = t5274*t5287; + t5252 = RATIONAL(-15.0,2.0); + t5515 = t5195+t5252*t5370; + t5282 = RATIONAL(5.0,4.0); + t5514 = t5030+t5282*t5291; + t5251 = RATIONAL(15.0,4.0); + t5400 = t5251*t5298; + t5071 = t5297*t5400; + t5238 = RATIONAL(-45.0,2.0); + t5513 = t5071+t5238*t5370; + t5273 = RATIONAL(-3.0,2.0); + t5462 = t5273*y; + t5512 = t5251*t5415+z*t5462; + t5458 = t5283*y; + t5384 = t5299*t5458; + t5290 = x*t5298; + t5242 = RATIONAL(-27.0,4.0); + t4988 = t5242*y*t5290; + t5511 = x*t5384+t4988; + t5447 = t5267*y; + t5357 = t5296*t5447; + t5017 = t5299*t5357; + t5510 = t5195+t5017; + t5509 = z*t5455+t5256*t5415; + t5235 = RATIONAL(15.0,1.0); + t5508 = t5235*t5370+t5270*t5287; + t5507 = t5270*t5454+t5236*t5380; + t5058 = t5299*t5350; + t5506 = t5071+t5058; + t5351 = t5270*t5450; + t5505 = t5282*t5287+t5299*t5351; + t5373 = y*t5287; + t4978 = RATIONAL(-81.0,4.0)*t5373; + t5237 = RATIONAL(27.0,1.0); + t5504 = t4978+t5237*t5380; + t5124 = t5270*t5452; + t5463 = t5299*y; + t5376 = t5236*t5463; + t5503 = t5124+t5297*t5376; + t5398 = t5264*t5297; + t5379 = t5261*t5450; + t4999 = t5298*t5379; + t5502 = t5299*t5398+t4999; + t4968 = t5242*t5373; + t5249 = RATIONAL(25.0,2.0); + t5501 = t4968+t5249*t5292; + t5359 = t5281*t5450; + t5279 = RATIONAL(-3.0,4.0); + t5405 = t5279*t5297; + t5349 = y*t5405; + t5013 = z*t5349; + t5500 = t5013+z*t5359; + t5421 = x*t5463; + t5461 = y*t5284; + t5404 = x*t5461; + t5041 = t5298*t5404; + t5499 = t5267*t5421+t5041; + t5498 = z*t5402+t5277*t5291; + t5012 = y*t5129; + t5286 = RATIONAL(-5.0,4.0); + t5387 = t5286*t5296; + t5497 = t5299*t5387+t5012; + t5394 = t5273*t5296; + t5356 = y*t5394; + t5268 = RATIONAL(1.0,4.0); + t5409 = t5268*t5297; + t5496 = t5299*t5356+t5298*t5409; + t5432 = t5282*t5297; + t5495 = t5299*t5432+t4999; + t5090 = t5297*t5442; + t5375 = t5242*t5452; + t4967 = z*t5375; + t5494 = t5299*t5090+t4967; + t5010 = t5299*t5124; + t5393 = -t5295-t5291; + t5493 = -t5393+t5010; + t5146 = t5298*t5392; + t5492 = t5296*t5353+t5146; + t5391 = t5276*t5297; + t5491 = t5298*t5391+t5299*t5359; + t5367 = t5299*t5461; + t4998 = t5297*t5367; + t5490 = t4998-t5291; + t5265 = RATIONAL(-5.0,1.0); + t5224 = t5265*t5299; + t5489 = t5296*t5371+t5297*t5224; + t5227 = t5265*t5296; + t5488 = t5298*t5227+t5299*t5377; + t5293 = x*t5299; + t5288 = t5299*t5297; + t5418 = t5293+t5288; + t5039 = t5298*t5351; + t5487 = t5418+t5039; + t5258 = RATIONAL(5.0,2.0); + t5228 = t5258*t5299; + t5406 = t5251*t5297; + t5077 = t5299*t5406; + t5486 = t5228+t5077; + t5066 = t5256*t5287; + t5485 = t5066+t5236*t5370; + t5247 = RATIONAL(15.0,2.0); + t5065 = t5298*t5350; + t5484 = t5247*t5288+x*t5420+t5065; + t5263 = RATIONAL(5.0,1.0); + t5449 = y*RATIONAL(-27.0,2.0); + t5072 = t5298*t5449; + t5483 = t5296*t5072+t5263*t5536; + t5381 = y*t5288; + t5060 = t5285*t5381; + t5280 = RATIONAL(3.0,1.0); + t5407 = t5296*t5280; + t5140 = t5298*t5407; + t5482 = t5060-t5295+t5140; + t5120 = t5278*t5452; + t5032 = t5299*t5120; + t5262 = RATIONAL(-2.0,1.0); + t5229 = t5262*t5296; + t5481 = t5032+t5456*t5229; + t5257 = RATIONAL(-27.0,1.0); + t5480 = x*t5224+t5235*t5288+t5257*t5380; + t5414 = t5263*t5296; + t5083 = t5297*t5449; + t5479 = t5263*t5291+z*t5414+t5299*t5083; + t5354 = t5278*t5450; + t5061 = t5298*t5354; + t5478 = t5061+t5286*t5536; + t5135 = t5299*t5395; + t5176 = t5281*t5291; + t5477 = y*t5135+t5276*t5295+t5176; + t5003 = t5298*t5361; + t5476 = t5003+t5534*t5299; + t5448 = y*t5277; + t5360 = t5296*t5448; + t5451 = t5276*x; + t5475 = z*t5451+t5299*t5360+t5146; + t5271 = RATIONAL(1.0,2.0); + t5403 = t5271*t5296; + t5389 = t5273*t5297; + t5189 = t5299*t5389; + t5474 = y*t5189+t5456*t5403; + t5226 = t5258*t5296; + t5289 = z*t5297; + t5008 = t5289*t5461; + t5473 = t5010+t5008+t5456*t5226; + t5007 = z*t5366; + t5472 = t5007+t5275*t5295+t5060+t5247*t5291; + t5240 = RATIONAL(-10.0,1.0); + t5220 = t5240*t5296; + t5230 = RATIONAL(135.0,4.0); + t5471 = t5220+t5083+t5230*t5381+t5253*t5291; + t5470 = t5252*t5288+t5224+t5507; + t5429 = t5273*t5298; + t5080 = t5296*t5400; + t5469 = t5189-t5299+(t5429+t5080)*y; + t5180 = t5267*t5291; + t5468 = t5229+t5180+t5503; + t5440 = t5279*t5298; + t5364 = y*t5440; + t5018 = x*t5364; + t5177 = t5299*t5392; + t5467 = t5018+t5299*t5451+y*t5180+t5177; + t5223 = t5262*t5299; + t5466 = t5223+t5135+t5507; + t5294 = x*z; + t5465 = x*y; + t5464 = x*t5282; + t5446 = t5271*x; + t5445 = t5268*x; + t5443 = t5274*y; + t5424 = t5261*t5465; + t5045 = t5298*t5424; + t5441 = t5045+t5282*t5290; + t5259 = RATIONAL(4.0,1.0); + t5222 = t5259*t5299; + t5005 = t5279*z*t5465; + t5437 = z*t5446+t5005; + t5026 = z*t5348; + t5365 = t5279*t5450; + t5436 = z*t5365+t5026; + t5023 = y*t5195; + t5435 = t5023+t5296*t5364; + t5434 = t5274*t5298; + t5269 = RATIONAL(6.0,1.0); + t5433 = t5299*t5269; + t5431 = t5007+t5289; + t5428 = t5267*t5298; + t5142 = t5261*t5287; + t5020 = y*t5142; + t5427 = t5020+t5299*t5226; + t5425 = t5276*t5298; + t5244 = RATIONAL(-25.0,4.0); + t5423 = t5244*t5296; + t5422 = t5008-t5289; + t5205 = t5299*t5229; + t5419 = t5012+t5205; + t5106 = x*t5462; + t5417 = t5298+t5297; + t5178 = t5299*t5414; + t5413 = t4968+t5178; + t5412 = t5041-t5290; + t5051 = z*t5424; + t5411 = t5294+t5051; + t5038 = z*t5404; + t5410 = t5038+t5286*t5294; + t5408 = t5292-t5288; + t5225 = t5259*t5296; + t5158 = t5298*t5389; + t5401 = t5012+t5158; + t5374 = t5296*t5443; + t5397 = z*t5374+t5013; + t5396 = t5280*t5297; + t5390 = t5271*t5297; + t5272 = RATIONAL(-1.0,4.0); + t5388 = t5272*t5297; + t5386 = t5286*t5298; + t5385 = t5299*t5453; + t5382 = t5280*t5463; + t5166 = x*t5434; + t5378 = t5243*t5463; + t5368 = t5251*t5463; + t5363 = t5299*t5455; + t5362 = y*t5407; + t5358 = t5299*t5459; + t5355 = t5269*t5450; + t5250 = RATIONAL(18.0,1.0); + t5352 = t5250*t5450; + t5347 = t4964+t5535*z; + t5029 = t5443*t5294; + t5346 = z*t5356+t5026+t5029; + t5345 = t4979+(t5453+t5378)*x; + t5167 = t5298*t5405; + t5344 = t5456*t5296; + t5102 = t5298*t5394; + t5343 = x*t5368+t5106+t5045; + t5342 = t5264+t5447; + t4983 = RATIONAL(81.0,4.0)*t5373; + t5341 = t5090+t5231*t5381+t4983; + t5015 = y*t5167; + t5339 = t5018+t5015+y*t5176; + t5338 = t4991+t5521; + t5337 = t5462+t5271; + t5019 = y*t5166; + t5336 = t5020+t5019+y*t5140; + t5335 = t5007+z*t5362+t5029; + t4994 = t5283*t5381; + t5334 = t4968+t5008+t4994; + t5333 = t4988+(t5376+t5459)*x; + t5153 = t5299*t5396; + t5245 = RATIONAL(-18.0,1.0); + t5266 = RATIONAL(8.0,1.0); + t5332 = t5266+t5245*y; + t5331 = t4991+t5120+t5297*t5378; + t5241 = RATIONAL(-75.0,4.0); + t5330 = t5247+t5241*t5296; + t5254 = RATIONAL(25.0,4.0); + t5327 = t5275+t5254*t5299; + t5326 = t5254*t5296+t5275; + t5325 = t4998+t5275*t5291+t5427; + t5324 = t5296*t5368+t5167+t5497; + t5323 = t5299*t5354-t5287+t5419; + t5322 = t5020+t5063+t5408; + t5149 = t5298*t5396; + t5321 = t5299*t5369+t5149+t5413; + t5152 = t5299*t5403; + t5320 = t5299*t5391+t5298*t5374+t5015+t5152; + t5053 = t5299*t5362; + t5319 = t5205+t5053+t5401; + t5318 = t5007+t5032+t5296*t5386+z*t5387+t5427; + t5150 = t5266*t5292; + t5317 = t4968+t5149+t5150+t5038+t5245*t5370-t5294; + t5316 = t5227+t5252*t5291+t5501+t5503; + t5093 = t5299*t5220; + t5315 = t5066+t5299*t5352+t5093+t4991+t5051+z*t5464; + t5314 = -t5296+t5102+t5427+(t5077+t5389)*y; + t5313 = t5299*t5355+z*t5445+t5005+t5167+t5419; + t5312 = t5045-t5293+t5153+t5065+t5518; + t5157 = t5299*t5227; + t5311 = t5157+t5012+t5041+t5039+t5457*t5228; + t5310 = t5282*t5295+t5178+t5082+t5334; + t5084 = RATIONAL(25.0,1.0)*t5292; + t5309 = t4978+t5240*t5299+t5072+t5084+t5253*t5288+t5230*t5380; + t5308 = t5093+t5297*t5433+t5222+t5338; + t5143 = t5299*t5225; + t5307 = t5020+t5061+t5143+t5045+t5457*t5223; + t5085 = RATIONAL(-20.0,1.0)*t5292; + t5306 = t4967+t5085+z*t5227+t5235*t5291+t5257*t5381+t4983; + t5305 = t5269*t5291+t5093+t5225+t5331; + t5079 = t5299*t5423; + t5304 = t5080+t5226+t5079+t5331; + t5303 = t5041+t5003+t5076+t5299*t5464+t5413; + t5302 = t5023+y*t5102+t5019-t5292+(t5446+t5390)*t5299; + t5255 = RATIONAL(75.0,4.0); + t5248 = RATIONAL(-12.0,1.0); + t5234 = RATIONAL(12.0,1.0); + t5215 = z*t5432; + t5198 = z*t5395; + t5187 = t5298*t5390; + t5186 = t5298*t5446; + t5183 = z*t5438; + t5182 = t5280*t5290; + t5174 = z*t5405; + t5173 = t5298*t5445; + t5165 = z*t5390; + t5163 = z*t5389; + t5161 = z*t5396; + t5159 = z*t5409; + t5147 = x*t5425; + t5141 = x*t5429; + t5138 = z*t5392; + t5134 = x*t5440; + t5127 = z*t5391; + t5125 = t5278*t5287; + t5122 = t5297*t5386; + t5119 = t5286*t5289; + t5113 = x*t5428; + t5109 = x*t5430; + t5105 = t5298*t5388; + t5104 = x*t5386; + t5103 = t5283*t5287; + t5101 = t5272*t5290; + t5097 = z*t5388; + t5095 = t5272*t5294; + t5092 = x*t5400; + t5086 = t5243*t5287; + t5078 = t5256*t5290; + t5070 = z*t5406; + t5068 = t5256*t5289; + t5062 = z*t5372; + t5057 = z*t5379; + t5055 = z*t5361; + t5049 = x*t5385; + t5046 = z*t5357; + t5044 = t5299*t5349; + t5043 = z*t5351; + t5042 = x*t5358; + t5034 = t5299*t5106; + t5031 = t5274*t5421; + t5014 = t5261*t5421; + t5006 = y*t5153; + t5002 = y*t5177; + t5001 = x*t5367; + t5000 = x*t5363; + t4997 = x*t5382; + t4993 = z*t5354; + t4992 = t5279*t5421; + t4990 = t5239*t5380; + t4958 = t5237*t5381; + t4957 = t5247*t5370; + t4953 = t5299*t5375; + t4943 = t5242*t5380; + coeff_dyy_m1_m1_m1 = t5299*t5402+t5186+t5187+t5002+t5000+t5017+t5165+ +t5339+t5393-t5418+t5437+t5500; + coeff_dyy_0_m1_m1 = t5163+t5157+t5153+t4957+t5342*t5299+t5401-t5456+t5473 ++t5509+t5519; + coeff_dyy_p1_m1_m1 = t5147+t5293+t5034+t5143+t5138+t5135+t5335+t5336+ +t5475+t5481; + coeff_dyy_p2_m1_m1 = t5127-t5408+t5435+t5436+t5474+t5491; + coeff_dyy_m1_0_m1 = t5042+t5122+t5119+t5104+t5043+t5311+t5040+t5410+t5473 +; + coeff_dyy_0_0_m1 = t5070+t5384+t5456*(t5423+t5258)+t5470+t5494+t5501+ +t5513+t5529; + coeff_dyy_p1_0_m1 = t5068+t5315+t5049+t5441+t5479+t5484+t5528; + coeff_dyy_p2_0_m1 = t5215+t5062+t5318+t5505+t5522; + coeff_dyy_m1_p1_m1 = t5290+t5287+t5049+t5307+t4993+t5058+t5411+t5431+ +t5481; + coeff_dyy_0_p1_m1 = t5198+t5383+t5456*t5262+t5308+t5347+t5479+t5524; + coeff_dyy_p1_p1_m1 = t5161+t5055+t5042+t5260*t5344+t5317+t5412+t5476+ +t5494; + coeff_dyy_p2_p1_m1 = t5057+t5323+t5422+t5493+t5502; + coeff_dyy_m1_p2_m1 = t5105+t5302+t5095+t5097+t5101+t5053+t5034+t5346+ +t5474; + coeff_dyy_0_p2_m1 = t5382+t5183+t5456*t5271+t5318+t5469+t5512+t5515; + coeff_dyy_p1_p2_m1 = t5000+t5174+t5313+t5008+t5046+t5173+t5467+t5493; + coeff_dyy_p2_p2_m1 = t5159+t5002+t5272*t5344+t5320+t5397+t5496; + coeff_dyy_m1_m1_0 = t5141+t5140+t5158+t4957+t5342*t5296+t5311-t5457+t5523 ++t5527; + coeff_dyy_0_m1_0 = t5264+t5125+t5417*t5280+(t5267+t5247*t5296+t5330*t5299 +)*y+t5316+t5470; + coeff_dyy_p1_m1_0 = x+t5109+t5305+t5360+t5395+t5343+t5484+t5508; + coeff_dyy_p2_m1_0 = t5359+t5297+t5314+t5492+t5522; + coeff_dyy_m1_0_0 = t4990+t5092+t5361+t5316+t5333+t5457*(t5258+t5244*t5299 +)+t5513; + coeff_dyy_0_0_0 = t5458+t5265+t5086+t5417*t5252+(t5238*y+t5249+t5255* +t5298)*t5296+(t5249+RATIONAL(-125.0,4.0)*t5296+t5255*t5297+(t5238+RATIONAL( +225.0,4.0)*t5296)*y)*t5299+t5341+t5532; + coeff_dyy_p1_0_0 = t5084+t5352+t5078+(t5247+t5241*t5299)*t5297+t5327*x+ +t5345+t5471+t5504+t5526; + coeff_dyy_p2_0_0 = t5351+t4943+t5327*t5297+t5304+t5485; + coeff_dyy_m1_p1_0 = t5113+t5350+t5457*t5262+t5305+t5345+t5483+t5524; + coeff_dyy_0_p1_0 = t5103+t5259+t5417*t5269+(t5232*t5296+t5285+(t5232+ +RATIONAL(-225.0,4.0)*t5296)*t5299)*y+t5309+t5471; + coeff_dyy_p1_p1_0 = t5085+t5182+(t5234*t5298+t5332)*t5296+t5333+t5341+ +t5480+t5530+t5534; + coeff_dyy_p2_p1_0 = t5398+t5354+t5321+t5468+t5489; + coeff_dyy_m1_p2_0 = t5166+t5362+t5457*t5271+t5314+t5343+t5478+t5515; + coeff_dyy_0_p2_0 = RATIONAL(-1.0,1.0)+t5142+t5417*t5273+(t5252*t5296+ +t5280+(t5252+t5255*t5296)*t5299)*y+t5304+t5486+t5521; + coeff_dyy_p1_p2_0 = t5134+t5303+t5451+t5355+t5392+t5468+t5520+t5527; + coeff_dyy_p2_p2_0 = t5391+(t5434+t5337)*t5296+t5324+t5495+t5523; + coeff_dyy_m1_m1_p1 = t5109+t5307+t5295+t4997+t5127+t5180+t5006+t5346+ +t5475; + coeff_dyy_0_m1_p1 = z+t5428+t5138+t5308+t5299*t5448+t5472+t5508+t5512; + coeff_dyy_p1_m1_p1 = t5141+t5150+t5046+t5248*t5370+t5125+t5163+t5334+ +t5437+t5476+t5498+t5499; + coeff_dyy_p2_m1_p1 = t5165+t5319+t5397+t5477+t5502; + coeff_dyy_m1_0_p1 = t5078+t5315+t5215+t4993+t5472+t5483+t5517; + coeff_dyy_0_0_p1 = t4958+t5250*t5463+t5068+t5330*t5298+t5326*z+t5309+ +t5347+t5526; + coeff_dyy_p1_0_p1 = t5092+RATIONAL(36.0,1.0)*t5370+t5306+t5086+t5055+ +t5070+t5410+t5480+t5511; + coeff_dyy_p2_0_p1 = t5119+t5057+t5310+t5489+t5506; + coeff_dyy_m1_p1_p1 = t5043+t4994+t5182+t4990+t5260*t5536+t5317+t5422+ +t5498+t5511; + coeff_dyy_0_p1_p1 = t5277*t5298+t5161+t5264*z+(t5234*t5297+t5332)*t5299+ +t5306+t5529+t5530+t5532; + coeff_dyy_p1_p1_p1 = t5113+t4958+t5103+t5198+(t5259*z+t5248*t5298)*t5296+ +(t5248*t5297+t5259*x+(RATIONAL(16.0,1.0)+RATIONAL(-36.0,1.0)*y)*t5296)*t5299+ +t5411+t5504+t5517+t5528; + coeff_dyy_p2_p1_p1 = t4943+t5297*t5222+t5062+t5431+t5482+t5516+t5518; + coeff_dyy_m1_p2_p1 = t5134+t5313+t5159+t5477+t5487+t5499+t5500; + coeff_dyy_0_p2_p1 = y*t5433+t5174+t5430+t5310+t5276*z+t5466+t5509+t5520; + coeff_dyy_p1_p2_p1 = t5142+t5234*t5370+t5095+t5312+t4997+t5166+t5183+ +t5335+t5482; + coeff_dyy_p2_p2_p1 = t5097+t5006+(t5440+t5268*z)*t5296+t5322+t5436+t5510; + coeff_dyy_m1_m1_p2 = t5147+t5291+t4992+t5044+t5302+t5491; + coeff_dyy_0_m1_p2 = t5363+t5298+t5325+t5469+t5492; + coeff_dyy_p1_m1_p2 = t5031+t5186+t5319+t5467+t5525; + coeff_dyy_p2_m1_p2 = t5187+t5299*t5365+t5320+t5531; + coeff_dyy_m1_0_p2 = t5001+t5325+t5441+t5478+t5505; + coeff_dyy_0_0_p2 = t4953+t5079+t5358+t5326*t5298+t5338+t5485+t5486; + coeff_dyy_p1_0_p2 = t5104+t5014+t5303+t5488+t5506; + coeff_dyy_p2_0_p2 = t5296*t5367+t5122+t5495+t5497+t5514; + coeff_dyy_m1_p1_p2 = t5014+t5323+t5412+t5487+t5525; + coeff_dyy_0_p1_p2 = t5385+t5264*t5298+t5321+t5466+t5488; + coeff_dyy_p1_p1_p2 = t5001+t4953+t5290+t5298*t5225+t5312+t5516; + coeff_dyy_p2_p1_p2 = t5287+t5261*t5370+t5322+t5490; + coeff_dyy_m1_p2_p2 = t5031+t5152+t5173+t5272*t5536+t5339+t5496+t5531; + coeff_dyy_0_p2_p2 = t5425+(t5438+t5337)*t5299+t5324+t5514+t5519; + coeff_dyy_p1_p2_p2 = t5292+t4992+t5101+(t5405+t5445)*t5299+t5336+t5490+ +t5510; + coeff_dyy_p2_p2_p2 = t5105+t5044+t5268*t5291+(t5409+(t5272+t5443)*t5296)* +t5299+t5435; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-dyz.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-dyz.compute.c new file mode 100644 index 0000000..e8de6dc --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-dyz.compute.c @@ -0,0 +1,1152 @@ +fp t5991, + t5992, + t6233, + t5951, + t5993, + t5889, + t6123, + t5766, + t6235, + t6082, + t5977, + t5887, + t6234, + t5985, + t5982, + t5984, + t5983, + t6232, + t5973, + t6129, + t5855, + t6231, + t5946, + t5990, + t6135, + t6037, + t5942, + t5636, + t6230, + t5954, + t6152, + t5808, + t6229, + t5921, + t6056, + t6133, + t6078, + t5933, + t6228, + t6139, + t5756, + t6227, + t5948, + t6085, + t5778, + t5892, + t6226, + t5913, + t5752, + t5935, + t6076, + t5638, + t6225, + t6062, + t5655, + t5989, + t6065, + t5932, + t6224, + t5967, + t6120, + t5806, + t6122, + t5761, + t5644, + t6223, + t6066, + t6222, + t6114, + t5763, + t5548, + t5955, + t6130, + t5794, + t6221, + t5897, + t5906, + t6220, + t5978, + t5695, + t6151, + t5907, + t6051, + t5601, + t6219, + t5758, + t5622, + t6218, + t5685, + t6145, + t6048, + t5629, + t6217, + t5909, + t6216, + t6079, + t5870, + t5800, + t6215, + t5947, + t6105, + t5853, + t5970, + t6092, + t6063, + t6214, + t6213, + t6034, + t5579, + t5976, + t6055, + t6212, + t6100, + t5792, + t5653, + t5851, + t6211, + t6058, + t6210, + t5586, + t5956, + t6209, + t5882, + t5815, + t6103, + t5788, + t6208, + t6207, + t5750, + t5930, + t6206, + t5959, + t5979, + t5875, + t6205, + t5824, + t5869, + t6204, + t5971, + t5883, + t6101, + t6203, + t6072, + t5686, + t6202, + t6089, + t5852, + t5974, + t6128, + t5838, + t6201, + t5931, + t6096, + t5765, + t5961, + t6087, + t5827, + t6200, + t6199, + t5901, + t6198, + t5888, + t6197, + t5953, + t5880, + t5988, + t6196, + t5965, + t6098, + t5795, + t5964, + t6147, + t5785, + t6195, + t5864, + t6075, + t6194, + t6097, + t5776, + t6052, + t6193, + t5972, + t6099, + t5804, + t5891, + t6192, + t5966, + t5894, + t6081, + t6191, + t6136, + t5829, + t5775, + t6190, + t5910, + t6189, + t6188, + t5916, + t6071, + t5582, + t6187, + t6142, + t5843, + t6186, + t6185, + t5962, + t5877, + t5878, + t6184, + t5934, + t5986, + t5981, + t5632, + t6183, + t6077, + t5676, + t6182, + t5621, + t6181, + t5893, + t6180, + t6179, + t6053, + t6178, + t5925, + t5876, + t6177, + t5903, + t6080, + t6176, + t5905, + t6106, + t5943, + t6175, + t5968, + t5879, + t5958, + t6102, + t5816, + t6174, + t6088, + t5868, + t5862, + t6173, + t6064, + t6172, + t6126, + t6057, + t5748, + t5923, + t6171, + t6170, + t5786, + t6169, + t6144, + t5960, + t6054, + t6168, + t5929, + t5975, + t6150, + t6167, + t6083, + t5790, + t6113, + t6061, + t6166, + t6165, + t5698, + t6164, + t6049, + t5704, + t6163, + t5952, + t6131, + t5858, + t6149, + t5969, + t6162, + t5924, + t5949, + t6161, + t5900, + t6160, + t6159, + t6158, + t6031, + t5654, + t6157, + t5645, + t5950, + t5793, + t6156, + t5708, + t5920, + t6155, + t5850, + t6154, + t5963, + t6153, + t6148, + t5980, + t6146, + t6143, + t6141, + t6140, + t5845, + t6109, + t6138, + t5659, + t6137, + t6134, + t5661, + t5658, + t6132, + t6127, + t5779, + t6121, + t6125, + t5938, + t6124, + t6119, + t6118, + t5732, + t6117, + t5987, + t6116, + t5957, + t5807, + t5826, + t6115, + t6112, + t6111, + t6110, + t5767, + t6108, + t5781, + t6107, + t6104, + t6039, + t5541, + t5898, + t6095, + t6094, + t5861, + t6093, + t6091, + t6090, + t6086, + t6084, + t6074, + t6073, + t6070, + t6069, + t6068, + t6067, + t5760, + t5802, + t6060, + t6059, + t6050, + t6047, + t5873, + t6046, + t6045, + t5657, + t6044, + t6043, + t6042, + t5751, + t6041, + t5576, + t5542, + t6040, + t6038, + t5777, + t6036, + t5594, + t6035, + t5770, + t5784, + t5811, + t6033, + t5762, + t6032, + t6030, + t5886, + t6029, + t6028, + t6027, + t6026, + t6025, + t6024, + t6023, + t6022, + t6021, + t6020, + t6019, + t5647, + t6018, + t6017, + t6016, + t5711, + t5721, + t6015, + t5720, + t6014, + t5624, + t6013, + t6012, + t5597, + t6011, + t6010, + t5550, + t6009, + t5945, + t5678, + t5738, + t6008, + t6007, + t5605, + t6006, + t6005, + t6004, + t6003, + t5728, + t5733, + t6002, + t5722, + t6001, + t5639, + t6000, + t5915, + t5549, + t5999, + t5734, + t5998, + t5902, + t5997, + t5650, + t5996, + t5995, + t5944, + t5936, + t5927, + t5926, + t5918, + t5912, + t5908, + t5896, + t5895, + t5884, + t5871, + t5867, + t5866, + t5860, + t5847, + t5835, + t5834, + t5833, + t5832, + t5828, + t5825, + t5822, + t5819, + t5818, + t5817, + t5812, + t5805, + t5803, + t5799, + t5789, + t5787, + t5783, + t5780, + t5773, + t5772, + t5764, + t5755, + t5749, + t5745, + t5739, + t5725, + t5718, + t5717, + t5716, + t5715, + t5714, + t5707, + t5705, + t5699, + t5696, + t5694, + t5693, + t5692, + t5689, + t5688, + t5684, + t5682, + t5674, + t5673, + t5667, + t5664, + t5662, + t5660, + t5656, + t5652, + t5648, + t5646, + t5637, + t5635, + t5628, + t5620, + t5609, + t5606, + t5603, + t5596, + t5581, + t5580, + t5577, + t5573, + t5568, + t5565, + t5556, + t5553, + t5540; + t5991 = x*x; + t5992 = t5991*x; + t6233 = t5992+x; + t5951 = RATIONAL(-9.0,4.0); + t5993 = z*z; + t5889 = t5951*t5993; + t6123 = t5991*RATIONAL(45.0,8.0); + t5766 = t5993*t6123; + t6235 = t5766+t5889; + t6082 = t5991*RATIONAL(-45.0,8.0); + t5977 = RATIONAL(9.0,4.0); + t5887 = t5977*t5993; + t6234 = t5993*t6082+t5887; + t5985 = x*y; + t5982 = z*t5985; + t5984 = y*t5992; + t5983 = z*t5984; + t6232 = t5983+t5982; + t5973 = RATIONAL(3.0,2.0); + t6129 = t5992*t5973; + t5855 = z*t6129; + t6231 = z+t5855; + t5946 = RATIONAL(5.0,2.0); + t5990 = y*y; + t6135 = t5991*t5993; + t6037 = t5990*t6135; + t5942 = RATIONAL(-27.0,8.0); + t5636 = t5942*t6037; + t6230 = t5946*t5983+t5636; + t5954 = RATIONAL(5.0,1.0); + t6152 = y*z; + t5808 = t5954*t6152; + t6229 = t5954*t5983+x*t5808; + t5921 = RATIONAL(27.0,4.0); + t6056 = y*t6135; + t6133 = t5990*t5992; + t6078 = z*t6133; + t5933 = RATIONAL(-15.0,1.0); + t6228 = t5921*t6078+t5933*t6056; + t6139 = t5990*t5993; + t5756 = RATIONAL(81.0,4.0)*t6139; + t6227 = t5756+RATIONAL(-405.0,8.0)*t6037; + t5948 = RATIONAL(9.0,8.0); + t6085 = t5990*t5948; + t5778 = x*t6085; + t5892 = t5951*t5990; + t6226 = t5778+t5991*t5892; + t5913 = RATIONAL(-27.0,4.0); + t5752 = t5913*t6139; + t5935 = RATIONAL(27.0,8.0); + t6076 = x*t6139; + t5638 = t5935*t6076; + t6225 = t5991*t5752+t5638; + t6062 = y*t5887; + t5655 = t5992*t6062; + t5989 = t5991*z; + t6065 = t5990*t5989; + t5932 = RATIONAL(-15.0,2.0); + t6224 = t5655+t5932*t6065; + t5967 = RATIONAL(-5.0,2.0); + t6120 = t5967*t5991; + t5806 = y*t6120; + t6122 = t5992*t5993; + t5761 = t5935*t6122; + t5644 = t5990*t5761; + t6223 = z*t5806+t5644; + t6066 = y*t6122; + t6222 = t5933*t6065+t5921*t6066; + t6114 = t5992*t5942; + t5763 = t5993*t6114; + t5548 = t5990*t5763; + t5955 = RATIONAL(2.0,1.0); + t6130 = t5955*t5991; + t5794 = y*t6130; + t6221 = z*t5794+t5548; + t5897 = RATIONAL(135.0,4.0); + t5906 = RATIONAL(-45.0,1.0); + t6220 = t5897*t6066+t5906*t6065; + t5978 = RATIONAL(-9.0,1.0); + t5695 = t5978*t6056; + t6151 = z*t5990; + t5907 = RATIONAL(45.0,4.0); + t6051 = t5907*t6151; + t5601 = t5992*t6051; + t6219 = t5695+t5601; + t5758 = t5921*t6139; + t5622 = t5942*t6076; + t6218 = t5991*t5758+t5622; + t5685 = t5978*t6065; + t6145 = y*t5993; + t6048 = t5907*t6145; + t5629 = t5992*t6048; + t6217 = t5685+t5629; + t5909 = RATIONAL(-45.0,2.0); + t6216 = t5629+t5909*t6065; + t6079 = t5992*t5948; + t5870 = t5993*t6079; + t5800 = t5991*t5889; + t6215 = t5870+t5800; + t5947 = RATIONAL(-9.0,8.0); + t6105 = t5947*t5993; + t5853 = t5992*t6105; + t5970 = RATIONAL(9.0,2.0); + t6092 = t5970*t5993; + t6063 = y*t6092; + t6214 = t5853+t5992*t6063; + t6213 = t5906*t6056+t5897*t6078; + t6034 = RATIONAL(-81.0,8.0)*t6139; + t5579 = x*t6034; + t5976 = RATIONAL(9.0,1.0); + t6055 = t5976*t6145; + t6212 = t5579+x*t6055; + t6100 = t5993*t5948; + t5792 = x*t6100; + t5653 = t5990*t5792; + t5851 = t5991*t6092; + t6211 = t5990*t5851+t5653; + t6058 = t5978*t6145; + t6210 = t5853+t5992*t6058; + t5586 = t5935*t6037; + t5956 = RATIONAL(-5.0,1.0); + t6209 = t5586+t5956*t5983; + t5882 = t5977*t5990; + t5815 = t5991*t5882; + t6103 = t5990*t5947; + t5788 = x*t6103; + t6208 = t5815+t5788; + t6207 = t5909*t6056+t5601; + t5750 = RATIONAL(-10.0,1.0)*t6152; + t5930 = RATIONAL(81.0,8.0); + t6206 = t5930*t6037+t5992*t5750; + t5959 = RATIONAL(1.0,4.0); + t5979 = RATIONAL(-1.0,8.0); + t5875 = t5979*t5992; + t6205 = t5959*t5991+t5875; + t5824 = x*t6105; + t5869 = t5991*t5887; + t6204 = t5824+t5869; + t5971 = RATIONAL(-3.0,4.0); + t5883 = t5971*t5993; + t6101 = RATIONAL(15.0,8.0)*t5991; + t6203 = t5883+t5993*t6101; + t6072 = z*t5882; + t5686 = t5992*t6072; + t6202 = t5686+t5932*t6056; + t6089 = t5991*t5973; + t5852 = t5990*t6089; + t5974 = RATIONAL(3.0,8.0); + t6128 = t5990*t5974; + t5838 = x*t6128; + t6201 = t5852+t5838; + t5931 = RATIONAL(15.0,4.0); + t6096 = t5992*t5931; + t5765 = z*t6096; + t5961 = RATIONAL(-9.0,2.0); + t6087 = t5961*t5993; + t5827 = t5991*t6087; + t6200 = y*t5827+t5990*t5765; + t6199 = t6234*t5990; + t5901 = RATIONAL(-27.0,2.0); + t6198 = t5622+t5901*t6037; + t5888 = t5971*t5990; + t6197 = t5990*t6101+t5888; + t5953 = RATIONAL(1.0,8.0); + t5880 = t5953*x; + t5988 = x*z; + t6196 = t5880+t5988; + t5965 = RATIONAL(-3.0,2.0); + t6098 = t5965*t5993; + t5795 = t5991*t6098; + t5964 = RATIONAL(-3.0,8.0); + t6147 = x*t5964; + t5785 = t5993*t6147; + t6195 = t5795+t5785; + t5864 = t5992*t6103; + t6075 = t5978*t6151; + t6194 = t5992*t6075+t5864; + t6097 = t5990*t5961; + t5776 = t5991*t6097; + t6052 = t5931*t6145; + t6193 = z*t5776+t5992*t6052; + t5972 = RATIONAL(3.0,1.0); + t6099 = t5992*t5972; + t5804 = z*t6099; + t5891 = t5974*t5992; + t6192 = t5804+t5891; + t5966 = RATIONAL(3.0,4.0); + t5894 = t5966*t5990; + t6081 = t5991*RATIONAL(-15.0,8.0); + t6191 = t5894+t5990*t6081; + t6136 = t5965*t5990; + t5829 = t5991*t6136; + t5775 = t5990*t6147; + t6190 = t5829+t5775; + t5910 = RATIONAL(27.0,2.0); + t6189 = t5910*t6037+t5638; + t6188 = RATIONAL(135.0,8.0)*t6037+t5752; + t5916 = RATIONAL(-45.0,4.0); + t6071 = t5916*t6151; + t5582 = t5992*t6071; + t6187 = t5582+t5991*t6048; + t6142 = t5966*t5992; + t5843 = y*t6142; + t6186 = t5993*t5843+z*t5829; + t6185 = t5910*t6066+t5763; + t5962 = RATIONAL(1.0,2.0); + t5877 = t5962*t5991; + t5878 = t5964*t5992; + t6184 = t5877+t5878; + t5934 = RATIONAL(25.0,1.0); + t5986 = t5991*y; + t5981 = z*t5986; + t5632 = t5992*t6034; + t6183 = t5934*t5981+t5632; + t6077 = z*t5892; + t5676 = t5992*t6077; + t6182 = t5991*t6052+t5676; + t5621 = t5916*t6066; + t6181 = t5621+t5991*t6051; + t5893 = t5966*t5993; + t6180 = t5893+t5993*t6081; + t6179 = t5889+t5959; + t6053 = z*t5894; + t6178 = y*t5795+t5992*t6053; + t5925 = RATIONAL(16.0,1.0); + t5876 = t5979*x; + t6177 = t5876+t5925*t5981; + t5903 = RATIONAL(15.0,1.0); + t6080 = t5954*t5991; + t6176 = z*t6080+t5903*t6065+t5901*t6066; + t5905 = RATIONAL(45.0,1.0); + t6106 = t5956*t5991; + t5943 = RATIONAL(-27.0,1.0); + t6175 = y*t6106+t5905*t6056+t5943*t6078; + t5968 = RATIONAL(-1.0,2.0); + t5879 = t5968*t5991; + t5958 = RATIONAL(-3.0,1.0); + t6102 = t5992*t5958; + t5816 = z*t6102; + t6174 = t5990*t5816+(t5851+t5879)*y; + t6088 = t5965*t5992; + t5868 = z*t6088; + t5862 = t5993*t6089; + t6173 = t5990*t5868+(t5877+t5862)*y; + t6064 = y*t6098; + t6172 = t5992*t6064+(t5877+t5852)*z; + t6126 = t5946*t5991; + t6057 = y*t6087; + t5748 = t5992*t6057; + t5923 = RATIONAL(15.0,2.0); + t6171 = t5923*t6065+z*t6126+t5748; + t6170 = RATIONAL(30.0,1.0)*t5983+RATIONAL(-81.0,2.0)*t6037+x*t5750; + t5786 = y*t6080; + t6169 = t5786+t5903*t6056+t5901*t6078; + t6144 = x*t5959; + t5960 = RATIONAL(6.0,1.0); + t6054 = t5960*t6145; + t6168 = z*t6144+t5991*t6054+t5676; + t5929 = RATIONAL(18.0,1.0); + t5975 = RATIONAL(5.0,4.0); + t6150 = x*t5975; + t6167 = t5621+y*t6150+t5929*t6065; + t6083 = t5970*t5990; + t5790 = t5991*t6083; + t6113 = t5958*t5993; + t6061 = y*t6113; + t6166 = t5992*t6061+(t5790+t5879)*z; + t6165 = z*t6150+t5582+t5929*t6056; + t5698 = t5991*t6055; + t6164 = t5698+t6194; + t6049 = y*t5889; + t5704 = t5992*t6049; + t6163 = y*t6144+t5960*t6065+t5704; + t5952 = RATIONAL(-2.0,1.0); + t6131 = t5991*t5952; + t5858 = z*t6131; + t6149 = x*t5968; + t5969 = RATIONAL(-6.0,1.0); + t6162 = y*t6149+t5858+t5969*t6065; + t5924 = RATIONAL(-12.0,1.0); + t5949 = RATIONAL(4.0,1.0); + t6161 = t5879+t5949*t5982+t5924*t5983; + t5900 = RATIONAL(45.0,2.0); + t6160 = t5900*t6065+z*t6120+t6210; + t6159 = t5806+t5900*t6056+t6194; + t6158 = t5953*t5991+t5949*t5983+t5636+t5875; + t6031 = t5993*t6103; + t5654 = x*t6031; + t6157 = y*t5804+t5654+t5990*t5827-t5982; + t5645 = t5969*t5983; + t5950 = RATIONAL(-4.0,1.0); + t5793 = t5950*t6152; + t6156 = t5645+t5793+t6188; + t5708 = t5992*t6055; + t5920 = RATIONAL(-18.0,1.0); + t6155 = z*t6130-t5985+t5708+t5920*t6065; + t5850 = t5952*t6152; + t6154 = y*t5816+t5850+t6235*t5990; + t5963 = RATIONAL(-1.0,4.0); + t6153 = t5963*t5991+t6218+t6233*t5793; + t6148 = x*t5963; + t5980 = RATIONAL(-5.0,4.0); + t6146 = x*t5980; + t6143 = t5962*x; + t6141 = t5973*t5993; + t6140 = t5992*t5980; + t5845 = t5990*t5891; + t6109 = t5991*t5964; + t6138 = t5990*t6109+t5845; + t5659 = x*t5850; + t6137 = t5659-t5986; + t6134 = z*t6146+t5792; + t5661 = t5958*t6065; + t5658 = t5992*t5850; + t6132 = t5661+t5658; + t6127 = t5992*t5963; + t5779 = t5993*t5878; + t6121 = t5993*t5974; + t6125 = t5779+t5991*t6121; + t5938 = RATIONAL(-15.0,4.0); + t6124 = t5992*t5938; + t6119 = t5992*t5971; + t6118 = t5579+x*t6048; + t5732 = t5990*t5870; + t6117 = t5991*t6031+t5732; + t5987 = z*t5992; + t6116 = -t5987-t5984; + t5957 = RATIONAL(8.0,1.0); + t5807 = t5957*t6152; + t5826 = t5993*t5891; + t6115 = z*t6127+t5826; + t6112 = RATIONAL(10.0,1.0)*t6152; + t6111 = x*t6151; + t6110 = t5962*t5992; + t5767 = RATIONAL(-20.0,1.0)*t6152; + t6108 = t5992*t5968; + t5781 = t5990*t5878; + t6107 = t5991*t6128+t5781; + t6104 = t5973*t5990; + t6039 = t5990*t6122; + t5541 = RATIONAL(243.0,8.0)*t6039; + t5898 = RATIONAL(-135.0,4.0); + t6095 = t5541+t5898*t6066; + t6094 = t5975*t5992; + t5861 = x*t6121; + t6093 = z*t6148+t5861; + t6091 = t5992*t5959; + t6090 = t5991*t5980; + t6086 = t5975*t5991; + t6084 = x*t6145; + t6074 = t5972*t6151; + t6073 = t5958*t6151; + t6070 = z*t6136; + t6069 = z*t6083; + t6068 = z*t6097; + t6067 = t5976*t6151; + t5760 = z*t6124; + t5802 = z*t6119; + t6060 = t5972*t6145; + t6059 = t5938*t6145; + t6050 = y*t5883; + t6047 = y*t6141; + t5873 = t5990*t6079; + t6046 = t5873+t5992*t6067+t5632; + t6045 = t5838+t5845+t5991*t5888; + t5657 = t5992*t6031; + t6044 = t5654+t5657+t5990*t5869; + t6043 = t5548+t6214; + t6042 = t5992*t6069+t5864+t5548; + t5751 = t5990*t6114; + t6041 = t5751+t5778+t5790; + t5576 = t5930*t6076; + t5542 = RATIONAL(-243.0,8.0)*t6039; + t6040 = t5576+RATIONAL(81.0,2.0)*t6037+t5542; + t6038 = t5632+t6189; + t5777 = t5991*t5894; + t6036 = t5761+t5824+t5827; + t5594 = t5930*t6039; + t6035 = t5594+t6198; + t5770 = RATIONAL(-81.0,4.0)*t6139; + t5784 = t5991*t5893; + t5811 = t5991*t6100; + t6033 = t5761+t6234; + t5762 = t5935*t6133; + t6032 = t5762+t5776+t5788; + t6030 = t5751+t5990*t6123+t5892; + t5886 = t5953*t5992; + t6029 = t5826+t5886+z*t6108; + t6028 = RATIONAL(-135.0,8.0)*t6037+t5594+t5758; + t6027 = t6233*t6152; + t6026 = t5870+t5868+t5891; + t6025 = t5775+t5781+t5777; + t6024 = t5644+t5873+t5992*t6068; + t6023 = t5762+t5882+t5990*t6082; + t6022 = t5644+t6225; + t6021 = t5784+t5779+t5785; + t6020 = RATIONAL(225.0,4.0)*t5991+t5909; + t6019 = RATIONAL(75.0,4.0)*t5991+t5932; + t5647 = t5958*t6056; + t6018 = t5647+t5686+t6221; + t6017 = t5990*t5811+t5657+t5981-t5983; + t6016 = t5931*t6065+t5704+t6223; + t5711 = t5972*t6065; + t5721 = t5991*t5793; + t6015 = t5711+t5870+t5644+t5721+t5748+t5989; + t5720 = z*t5786; + t6014 = t5938*t6065+t5720+z*t6090+t6043; + t5624 = t5991*t5767; + t6013 = t5624+t5991*t5770+t5594+t5576+t6233*t6112; + t6012 = t5938*t6056+y*t6090+t5720+t6042; + t5597 = t5991*t6112; + t6011 = y*t6086+t5597+t5916*t6056+t6046; + t6010 = t5932*t5983+t5597+t5946*t5982+t6038; + t5550 = RATIONAL(50.0,1.0)*t5981; + t6009 = t5550+t5767+RATIONAL(405.0,8.0)*t6037+t5770+RATIONAL(-30.0,1.0)* +t5983+t5542; + t5945 = RATIONAL(-8.0,1.0); + t5678 = t5945*t5981; + t5738 = t5976*t6065; + t6008 = t5594+t5678-t5989+t5738+t6210; + t6007 = t5750+t5933*t5983+t6183+t6188; + t5605 = RATIONAL(-40.0,1.0)*t5981; + t6006 = t5605+t5541+t5943*t6066+t5905*t6065+z*t6106+t5763; + t6005 = t5903*t5983+t5624+t5956*t5982+t6035; + t6004 = t6218+t5720+t5548+t6232*t5967; + t6003 = t5870+z*t6086+t5597+t5708+t5632+t5916*t6065; + t5728 = t5955*t5982; + t5733 = t5955*t5983; + t6002 = t5728+t5721+t5733+t6022; + t5722 = t5972*t6056; + t6001 = t5722+t5721+t5986+t6024; + t5639 = t5991*t5750; + t6000 = y*t6126+t5639+t5923*t6056+t6024; + t5915 = RATIONAL(-25.0,2.0); + t5549 = t5915*t5981; + t5999 = t5549+t5923*t5983+t5808+t6028; + t5734 = y*t5858; + t5998 = t5734+t5990*t5800+t5732+t5653+t6232; + t5902 = RATIONAL(12.0,1.0); + t5997 = t5902*t5983+t5807+t5624+t5878+RATIONAL(5.0,8.0)*t5991+t5963+t6028 +; + t5650 = t5991*t5807; + t5996 = z*t6149+t5650+t5880+y*t6131+t5861+t5969*t6056+t6042; + t5995 = -t5988+t5792+t5920*t6056+t5794+t6046+t6177; + t5944 = RATIONAL(36.0,1.0); + t5936 = RATIONAL(25.0,4.0); + t5927 = RATIONAL(25.0,2.0); + t5926 = RATIONAL(-36.0,1.0); + t5918 = RATIONAL(-25.0,4.0); + t5912 = RATIONAL(-75.0,4.0); + t5908 = RATIONAL(27.0,1.0); + t5896 = RATIONAL(-225.0,4.0); + t5895 = RATIONAL(-5.0,8.0)*t5991; + t5884 = t5979*t5991; + t5871 = t5991*t6103; + t5867 = y*t6148; + t5866 = y*t6088; + t5860 = y*t6127; + t5847 = y*t6129; + t5835 = t5991*t6105; + t5834 = t5991*t6085; + t5833 = y*t6108; + t5832 = y*t6094; + t5828 = z*t6142; + t5825 = y*t6119; + t5822 = t5991*t5883; + t5819 = z*t6094; + t5818 = y*t6146; + t5817 = y*t6091; + t5812 = y*t6140; + t5805 = z*t6091; + t5803 = t5993*t6109; + t5799 = y*t6102; + t5789 = z*t6140; + t5787 = y*t6099; + t5783 = z*t6143; + t5780 = z*t6110; + t5773 = y*t6143; + t5772 = y*t6110; + t5764 = y*t6124; + t5755 = y*t6096; + t5749 = t5960*t5983; + t5745 = x*t6070; + t5739 = x*t6064; + t5725 = t5992*t6060; + t5718 = x*t6069; + t5717 = x*t6050; + t5716 = t5992*t6050; + t5715 = x*t6060; + t5714 = x*t6058; + t5707 = x*t6075; + t5705 = t5966*t6084; + t5699 = x*t6057; + t5696 = t5971*t6111; + t5694 = t5990*t5804; + t5693 = t5990*t5802; + t5692 = x*t6062; + t5689 = x*t6063; + t5688 = x*t6073; + t5684 = x*t6053; + t5682 = x*t6049; + t5674 = x*t6074; + t5673 = x*t6072; + t5667 = x*t6077; + t5664 = x*t6061; + t5662 = t6104*t5988; + t5660 = t5990*t5855; + t5656 = t5992*t6047; + t5652 = x*t6067; + t5648 = x*t6047; + t5646 = x*t6068; + t5637 = t5992*t6059; + t5635 = t5910*t6078; + t5628 = x*t6059; + t5620 = x*t6052; + t5609 = t5908*t6066; + t5606 = t5990*t5760; + t5603 = t5908*t6078; + t5596 = t5938*t6111; + t5581 = t5931*t6111; + t5580 = x*t6051; + t5577 = t5991*t5756; + t5573 = x*t6071; + t5568 = t5991*t6034; + t5565 = t5913*t6066; + t5556 = t5913*t6078; + t5553 = t5916*t6084; + t5540 = t5898*t6078; + coeff_dyz_m1_m1_m1 = t5773+t5660+t5949*t5981+t6025+t5647+t5780+t5876+ +t5662+t5656+t6044+t5648-t5989+t5783+t5772+t6021+t6132+t6137+t6205; + coeff_dyz_0_m1_m1 = -z+t6000+t6073+t5895+(-1.0+t6113+t5949*z)*y+t5959+ +t5866+t5749+t6026+t6171+t6180+t6191+t6199; + coeff_dyz_p1_m1_m1 = t5645+t5996+t5739+t5728+t5745+t5847+t5862+t5855+ +t6162+t6184+t6201+t6211+t6214; + coeff_dyz_p2_m1_m1 = t5733+t5884+t5833+t5734+t5803+t6029+t6117+t6138+ +t6172+t6173; + coeff_dyz_m1_0_m1 = t5818+t6000+t5812+t5637+t5646+t5628+t5738+t6225+t6226 ++t6229; + coeff_dyz_0_0_m1 = t5635+t5755+t6067+(t5946+t5923*t5993+(t5918+t5912* +t5993)*t5991)*y+t6007+t6030+t6216; + coeff_dyz_p1_0_m1 = t5718+t6005+t5764+t5620+t6032+t6167+t6169; + coeff_dyz_p2_0_m1 = t5834+t5832+t6012+t6193+t6209; + coeff_dyz_m1_p1_m1 = t5685+t5718+t5984+t5996+t5985+t5725+t5715+t5822+ +t5989+t6029+t6153+t6208; + coeff_dyz_0_p1_m1 = t6075+t5997+(t5969*t5993+t5952)*y+t5799+t6023+t6160+ +t6169+t6203+t6231; + coeff_dyz_p1_p1_m1 = t5635+t5664+t6038+t6155+(t5924*t5993+t5950)*t5986+ +t5787+t6026+t5646+t6041+t5783+t6161+t6177+t6195; + coeff_dyz_p2_p1_m1 = -t5984+t5871+t6001+t5780+t6125+t6158+t6166; + coeff_dyz_m1_p2_m1 = t5711+t5745+t5717+t5860+t5998+t5867+t5716+t6045+ +t6173; + coeff_dyz_0_p2_m1 = t5843+t6074+(t5962+t6141)*y+t6012+t6154+t6197+t6224; + coeff_dyz_p1_p2_m1 = t6001+t5825+t5662+t5705+t6157+t6163+t6190; + coeff_dyz_p2_p2_m1 = t5817+t5660+(t5883+t5963)*t5986+t6017+t6107+t6186; + coeff_dyz_m1_m1_0 = t5698+t5606+t5699+t5596+t5639+t5789+t6022+t6134+t6171 ++t6215+t6229; + coeff_dyz_0_m1_0 = t6055+t5765+(t5918*t5991+t5946+(t5912*t5991+t5923)* +t5990)*z+t6007+t6185+t6207+t6235; + coeff_dyz_p1_m1_0 = t6005+t5581+t5760+t5689+t6036+t6165+t6176; + coeff_dyz_p2_m1_0 = t5819+t5811+t6014+t6200+t6209; + coeff_dyz_m1_0_0 = t5577+t5580+t5915*t6027+t6118+t6183+t6207+t6216; + coeff_dyz_0_0_0 = t5540+t6020*t6151+(t6020*t5993+(t5934+RATIONAL(-125.0, +2.0)*t5991+RATIONAL(75.0,2.0)*t5992)*z)*y+t6095+t6227; + coeff_dyz_p1_0_0 = t5553+t5573+t5550+(t5927*x+RATIONAL(-75.0,2.0)*t5992)* +t6152+t6040+t6213+t6220; + coeff_dyz_p2_0_0 = t5549+t5568+t5927*t5983+t5594+t6181+t6187; + coeff_dyz_m1_p1_0 = t5573+t5819+t5714+t6013+t6160+t6165+t6204; + coeff_dyz_0_p1_0 = t5929*t6145+t5760+t5609+(t5936*t5991+t5967+(t5896* +t5991+t5900)*t5990)*z+t6009+t6033+t6213; + coeff_dyz_p1_p1_0 = t6006+t5944*t6056+t5765+t5540+t5851+t5580+t6134+t6170 ++t6212; + coeff_dyz_p2_p1_0 = t5835+t5789+t6003+t6206+t6219; + coeff_dyz_m1_p2_0 = t5692+t5581+t6004+t6200+t6224; + coeff_dyz_0_p2_0 = t5565+t6057+t6019*t6151+t5999+t6187; + coeff_dyz_p1_p2_0 = t5596+t5682+t6010+t6219+t6222; + coeff_dyz_p2_p2_0 = t5606+y*t5869+t6016+t6230; + coeff_dyz_m1_m1_p1 = t5650+t5695+t5987+t6043+t6153+t5886+t5833+t5694+ +t5986+t6045+t5689+t5674+t6162+t6196+t6204; + coeff_dyz_0_m1_p1 = y+(t5969*t5990+t5952)*z+t5997+t5847+t6058+t5816+t6033 ++t6159+t6176+t6197; + coeff_dyz_p1_m1_p1 = t5773+t5866+t5688+t5699+(t5950+t5924*t5990)*t5989+ +t5995+t5851+t6161+t6185+t6189+t6190+t6192; + coeff_dyz_p2_m1_p1 = t5835+t6015-t5987+t5772+t6107+t6158+t6174; + coeff_dyz_m1_0_p1 = t5707+t5832+t6013+t5553+t6159+t6167+t6208; + coeff_dyz_0_0_p1 = t5764+t5603+t5929*t6151+(t5900*t5993+t5967+(t5896* +t5993+t5936)*t5991)*y+t6009+t6023+t6220; + coeff_dyz_p1_0_p1 = t5652+t5605+t5818+t5755+t5944*t6065+t6041+t6095+t6118 ++t6170+t6175; + coeff_dyz_p2_0_p1 = t5871+t5812+t6011+t6206+t6217; + coeff_dyz_m1_p1_p1 = t5577+t5945*t6027+t5652+t5995+t6116+t6155+t6205+ +t6212+t6215+t6226; + coeff_dyz_0_p1_p1 = t6006+t5895+(t5955+t5920*t5990)*z+(t5920*t5993+t5955+ +(RATIONAL(24.0,1.0)*t5992+t5925)*z)*y+t5787+t5766+t6030+t6175+t6179+t6192+t6227 +; + coeff_dyz_p1_p1_p1 = t5707+t6032+t5609+(t5949+t5926*t5990)*t5989+((t5926* +t5993+t5949)*t5991+(t5957*x+RATIONAL(-24.0,1.0)*t5992+RATIONAL(32.0,1.0)*t5991) +*z)*y+t5985+t5714+t5799+t5816+t5603+t6036+t6040+t6184+t6196; + coeff_dyz_p2_p1_p1 = t5568+t5834+t5811+t5884+t5957*t5983+t6008+t5886- +t5986-t6116+t6164; + coeff_dyz_m1_p2_p1 = t5817+t6002+t5682+t5688+t6025+t6163+t6174; + coeff_dyz_0_p2_p1 = t5960*t6151+t5825+(t5968+t6092)*y+t6011+t6156+t6191+ +t6222; + coeff_dyz_p1_p2_p1 = t5902*t6065+t5843+t5674+t5565+t5692+t5678+t5867+ +t5749+t6035+t6137+t6164+t6201; + coeff_dyz_p2_p2_p1 = t5860+t5694+t5586+t5655+t6179*t5986+t6132+t6138+ +t6221; + coeff_dyz_m1_m1_p2 = t5696+t5722+t5739+t5998+t5693+t5822+t6093+t6115+ +t6172; + coeff_dyz_0_m1_p2 = t6060+t5828+(t6104+t5962)*z+t6014+t6154+t6202+t6203; + coeff_dyz_p1_m1_p2 = t6015+t5802+t5648+t5684+t6157+t6168+t6195; + coeff_dyz_p2_m1_p2 = t5805+t5656+(t5963+t5888)*t5989+t6017+t6125+t6178; + coeff_dyz_m1_0_p2 = t5673+t5620+t6004+t6193+t6202; + coeff_dyz_0_0_p2 = t6068+t5556+t6019*t6145+t5999+t6181; + coeff_dyz_p1_0_p2 = t5667+t5628+t6010+t6217+t6228; + coeff_dyz_p2_0_p2 = t5637+z*t5815+t6182+t6223+t6230; + coeff_dyz_m1_p1_p2 = t5664+t5667+t6002+t5805+t6021+t6166+t6168; + coeff_dyz_0_p1_p2 = t6054+t5802+(t5968+t6083)*z+t6003+t6156+t6180+t6228; + coeff_dyz_p1_p1_p2 = t5659+t5902*t6056+t6008+t5556+t5862+t5715+t5673+ +t5749+t5828+t6093+t6198; + coeff_dyz_p2_p1_p2 = t5658+t5725+t5803+t5586+(t5959+t5892)*t5989+t6018+ +t6115; + coeff_dyz_m1_p2_p2 = t5705+t5684+t5981+t5968*t6027+t6044+t6178+t6186; + coeff_dyz_0_p2_p2 = t6070+(t6098+t6231)*y+t6016+t6182+t6199; + coeff_dyz_p1_p2_p2 = t5655+t5717+t5696+t5661+(t6088+t6143)*t6152+t6018+ +t6211; + coeff_dyz_p2_p2_p2 = z*t5777+t5693+t5716+(t5784+(t5879+t6110)*z)*y+t6117; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-dz.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-dz.compute.c new file mode 100644 index 0000000..7aad064 --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-dz.compute.c @@ -0,0 +1,1165 @@ +fp t2714, + t2713, + t2889, + t2717, + t2715, + t2835, + t2661, + t2756, + t2691, + t2853, + t2992, + t2816, + t2716, + t2863, + t2707, + t2887, + t2706, + t2858, + t2881, + t2814, + t2656, + t2882, + t2807, + t2336, + t2778, + t2648, + t2991, + t2685, + t2697, + t2757, + t2439, + t2990, + t2655, + t2817, + t2669, + t2871, + t2989, + t2690, + t2883, + t2806, + t2450, + t2988, + t2891, + t2708, + t2696, + t2604, + t2683, + t2987, + t2694, + t2859, + t2585, + t2846, + t2700, + t2575, + t2986, + t2676, + t2845, + t2692, + t2985, + t2665, + t2831, + t2531, + t2865, + t2684, + t2984, + t2682, + t2854, + t2546, + t2680, + t2885, + t2580, + t2983, + t2659, + t2763, + t2297, + t2712, + t2705, + t2668, + t2982, + t2566, + t2563, + t2981, + t2654, + t2323, + t2653, + t2980, + t2860, + t2760, + t2862, + t2979, + t2681, + t2626, + t2688, + t2978, + t2678, + t2820, + t2811, + t2286, + t2977, + t2795, + t2315, + t2768, + t2976, + t2703, + t2396, + t2975, + t2480, + t2974, + t2876, + t2810, + t2446, + t2699, + t2973, + t2972, + t2472, + t2971, + t2838, + t2634, + t2970, + t2833, + t2590, + t2895, + t2803, + t2969, + t2394, + t2695, + t2809, + t2968, + t2967, + t2627, + t2966, + t2639, + t2650, + t2965, + t2823, + t2777, + t2799, + t2964, + t2764, + t2869, + t2609, + t2963, + t2962, + t2961, + t2504, + t2960, + t2959, + t2711, + t2657, + t2958, + t2356, + t2957, + t2956, + t2802, + t2475, + t2775, + t2955, + t2673, + t2954, + t2852, + t2689, + t2624, + t2953, + t2825, + t2888, + t2617, + t2952, + t2824, + t2800, + t2584, + t2951, + t2305, + t2950, + t2409, + t2879, + t2582, + t2949, + t2948, + t2284, + t2947, + t2693, + t2818, + t2946, + t2492, + t2945, + t2686, + t2822, + t2572, + t2592, + t2944, + t2772, + t2943, + t2942, + t2664, + t2941, + t2666, + t2542, + t2940, + t2939, + t2938, + t2643, + t2937, + t2899, + t2873, + t2815, + t2507, + t2936, + t2663, + t2635, + t2793, + t2372, + t2935, + t2896, + t2804, + t2335, + t2934, + t2933, + t2758, + t2828, + t2591, + t2932, + t2631, + t2633, + t2931, + t2930, + t2675, + t2836, + t2798, + t2929, + t2709, + t2856, + t2928, + t2629, + t2602, + t2539, + t2927, + t2926, + t2647, + t2671, + t2925, + t2651, + t2830, + t2564, + t2924, + t2848, + t2611, + t2541, + t2535, + t2923, + t2576, + t2606, + t2579, + t2922, + t2642, + t2640, + t2921, + t2672, + t2687, + t2920, + t2808, + t2919, + t2670, + t2571, + t2918, + t2917, + t2826, + t2701, + t2916, + t2915, + t2623, + t2377, + t2914, + t2418, + t2540, + t2913, + t2613, + t2490, + t2912, + t2911, + t2910, + t2909, + t2658, + t2638, + t2850, + t2645, + t2523, + t2908, + t2702, + t2827, + t2536, + t2907, + t2821, + t2906, + t2486, + t2905, + t2510, + t2893, + t2618, + t2904, + t2455, + t2903, + t2902, + t2878, + t2901, + t2774, + t2380, + t2900, + t2898, + t2897, + t2894, + t2636, + t2892, + t2890, + t2886, + t2628, + t2679, + t2884, + t2880, + t2704, + t2796, + t2461, + t2877, + t2875, + t2874, + t2469, + t2872, + t2870, + t2415, + t2868, + t2416, + t2867, + t2866, + t2829, + t2770, + t2864, + t2479, + t2861, + t2857, + t2855, + t2851, + t2291, + t2849, + t2837, + t2573, + t2847, + t2844, + t2842, + t2843, + t2841, + t2840, + t2710, + t2839, + t2834, + t2832, + t2819, + t2586, + t2813, + t2805, + t2801, + t2581, + t2797, + t2667, + t2568, + t2538, + t2794, + t2561, + t2562, + t2792, + t2791, + t2790, + t2789, + t2788, + t2787, + t2786, + t2785, + t2784, + t2783, + t2782, + t2781, + t2294, + t2780, + t2608, + t2614, + t2779, + t2776, + t2512, + t2773, + t2698, + t2771, + t2769, + t2533, + t2767, + t2766, + t2765, + t2762, + t2545, + t2761, + t2759, + t2755, + t2587, + t2577, + t2548, + t2754, + t2660, + t2753, + t2752, + t2751, + t2750, + t2748, + t2746, + t2745, + t2744, + t2364, + t2374, + t2743, + t2385, + t2742, + t2496, + t2741, + t2428, + t2316, + t2740, + t2353, + t2739, + t2738, + t2737, + t2559, + t2736, + t2735, + t2734, + t2444, + t2733, + t2649, + t2280, + t2732, + t2271, + t2731, + t2730, + t2729, + t2728, + t2727, + t2726, + t2500, + t2725, + t2724, + t2677, + t2723, + t2487, + t2722, + t2721, + t2674, + t2434, + t2720, + t2662, + t2652, + t2646, + t2644, + t2641, + t2622, + t2619, + t2601, + t2599, + t2596, + t2565, + t2557, + t2554, + t2551, + t2543, + t2532, + t2526, + t2525, + t2519, + t2516, + t2513, + t2511, + t2509, + t2503, + t2502, + t2501, + t2488, + t2485, + t2473, + t2471, + t2464, + t2463, + t2457, + t2454, + t2449, + t2441, + t2437, + t2436, + t2435, + t2425, + t2422, + t2413, + t2412, + t2410, + t2406, + t2390, + t2388, + t2387, + t2384, + t2382, + t2381, + t2378, + t2376, + t2375, + t2370, + t2368, + t2367, + t2360, + t2359, + t2358, + t2357, + t2354, + t2352, + t2347, + t2340, + t2339, + t2337, + t2331, + t2300, + t2295, + t2290, + t2289, + t2287, + t2282, + t2277, + t2264; + t2714 = y*y; + t2713 = t2714*y; + t2889 = t2713+y; + t2717 = z*z; + t2715 = x*x; + t2835 = t2717*t2715; + t2661 = RATIONAL(15.0,8.0); + t2756 = t2661*t2835; + t2691 = RATIONAL(-3.0,4.0); + t2853 = t2717*t2691; + t2992 = t2853+t2756; + t2816 = z*t2889; + t2716 = t2715*x; + t2863 = t2716*t2714; + t2707 = z*t2863; + t2887 = t2714*z; + t2706 = x*t2887; + t2858 = -t2707-t2706; + t2881 = t2716+x; + t2814 = z*t2881; + t2656 = RATIONAL(15.0,4.0); + t2882 = z*t2656; + t2807 = t2716*t2882; + t2336 = t2713*t2807; + t2778 = t2714*t2835; + t2648 = RATIONAL(-45.0,4.0); + t2991 = t2336+t2648*t2778; + t2685 = RATIONAL(-5.0,2.0); + t2697 = RATIONAL(9.0,8.0); + t2757 = t2713*t2835; + t2439 = t2697*t2757; + t2990 = t2685*t2707+t2439; + t2655 = RATIONAL(45.0,8.0); + t2817 = y*t2835; + t2669 = RATIONAL(-9.0,4.0); + t2871 = t2669*t2717; + t2989 = y*t2871+t2655*t2817; + t2690 = RATIONAL(9.0,2.0); + t2883 = x*t2717; + t2806 = t2697*t2883; + t2450 = t2713*t2806; + t2988 = t2690*t2757+t2450; + t2891 = t2716*y; + t2708 = z*t2891; + t2696 = RATIONAL(3.0,8.0); + t2604 = t2696*t2891; + t2683 = RATIONAL(-3.0,2.0); + t2987 = t2604+t2683*t2708; + t2694 = RATIONAL(3.0,2.0); + t2859 = t2694*t2714; + t2585 = t2716*t2859; + t2846 = t2716*t2713; + t2700 = RATIONAL(-9.0,8.0); + t2575 = t2700*t2846; + t2986 = t2585+t2575; + t2676 = RATIONAL(1.0,4.0); + t2845 = t2715*t2713; + t2692 = RATIONAL(-5.0,8.0); + t2985 = t2692*t2845+t2676*t2713; + t2665 = RATIONAL(-15.0,8.0); + t2831 = t2665*t2715; + t2531 = t2713*t2831; + t2865 = t2713*t2717; + t2684 = RATIONAL(3.0,4.0); + t2984 = t2717*t2531+t2684*t2865; + t2682 = RATIONAL(-3.0,8.0); + t2854 = t2716*t2682; + t2546 = y*t2854; + t2680 = RATIONAL(1.0,2.0); + t2885 = y*t2680; + t2580 = t2715*t2885; + t2983 = t2546+t2580; + t2659 = RATIONAL(27.0,8.0); + t2763 = t2717*t2846; + t2297 = t2659*t2763; + t2712 = t2715*t2714; + t2705 = z*t2712; + t2668 = RATIONAL(-4.0,1.0); + t2982 = t2297+t2668*t2705; + t2566 = t2697*t2846; + t2563 = t2683*t2845; + t2981 = t2566+t2563; + t2654 = RATIONAL(-27.0,8.0); + t2323 = t2654*t2763; + t2653 = RATIONAL(25.0,2.0); + t2980 = t2323+t2653*t2705; + t2860 = t2717*t2714; + t2760 = t2716*t2860; + t2862 = t2716*t2717; + t2979 = t2669*t2862+t2655*t2760; + t2681 = RATIONAL(-1.0,4.0); + t2626 = t2681*t2716; + t2688 = RATIONAL(5.0,8.0); + t2978 = t2626+t2688*t2863; + t2678 = RATIONAL(-9.0,2.0); + t2820 = x*t2860; + t2811 = x*t2865; + t2286 = t2659*t2811; + t2977 = t2678*t2820+t2286; + t2795 = y*t2862; + t2315 = t2659*t2795; + t2768 = t2678*t2835; + t2976 = t2315+y*t2768; + t2703 = z*t2845; + t2396 = t2697*t2760; + t2975 = -t2703+t2396; + t2480 = t2717*t2575; + t2974 = t2705+t2480; + t2876 = t2700*t2717; + t2810 = x*t2876; + t2446 = t2713*t2810; + t2699 = RATIONAL(9.0,4.0); + t2973 = t2446+t2699*t2757; + t2972 = t2681*t2713+t2688*t2845; + t2472 = t2700*t2795; + t2971 = t2678*t2760+t2472; + t2838 = t2714*t2692; + t2634 = t2676*t2716; + t2970 = t2634+t2716*t2838; + t2833 = t2713*t2696; + t2590 = t2716*t2833; + t2895 = t2713*z; + t2803 = t2683*t2895; + t2969 = t2590+t2716*t2803; + t2394 = t2700*t2760; + t2695 = RATIONAL(5.0,4.0); + t2809 = t2695*t2895; + t2968 = t2715*t2809+t2394; + t2967 = t2655*t2820+x*t2871; + t2627 = t2684*t2716; + t2966 = t2665*t2760+t2717*t2627; + t2639 = RATIONAL(-135.0,8.0); + t2650 = RATIONAL(27.0,4.0); + t2965 = t2639*t2760+t2650*t2862; + t2823 = t2715*t2691; + t2777 = t2717*t2823; + t2799 = z*t2634; + t2964 = t2713*t2799+t2714*t2777; + t2764 = t2717*t2831; + t2869 = t2684*t2717; + t2609 = y*t2869; + t2963 = y*t2764+t2609; + t2962 = t2669*t2865+t2655*t2757; + t2961 = t2665*t2820+x*t2869; + t2504 = t2717*t2546; + t2960 = t2715*t2609+t2504; + t2959 = t2685*t2703+t2396; + t2711 = z*t2846; + t2657 = RATIONAL(-15.0,2.0); + t2958 = t2657*t2778+t2699*t2711; + t2356 = t2714*t2768; + t2957 = t2336+t2356; + t2956 = x*t2853+t2661*t2820; + t2802 = t2696*t2883; + t2475 = y*t2802; + t2775 = t2717*t2859; + t2955 = t2475+x*t2775; + t2673 = RATIONAL(-5.0,1.0); + t2954 = t2659*t2757+t2673*t2707; + t2852 = t2676*t2714; + t2689 = RATIONAL(-1.0,8.0); + t2624 = t2689*t2846; + t2953 = t2716*t2852+t2624; + t2825 = t2676*t2715; + t2888 = y*t2689; + t2617 = t2716*t2888; + t2952 = y*t2825+t2617; + t2824 = t2694*t2713; + t2800 = z*t2824; + t2584 = t2682*t2846; + t2951 = t2584+t2716*t2800; + t2305 = t2654*t2811; + t2950 = t2650*t2757+t2305; + t2409 = t2717*t2566; + t2879 = t2715*z; + t2582 = t2673*t2879; + t2949 = t2409+t2714*t2582; + t2948 = t2678*t2757+t2446; + t2284 = RATIONAL(-81.0,8.0)*t2763; + t2947 = t2284+RATIONAL(25.0,1.0)*t2705; + t2693 = RATIONAL(3.0,1.0); + t2818 = t2693*t2895; + t2946 = t2590+t2716*t2818; + t2492 = t2697*t2795; + t2945 = t2492+t2669*t2760; + t2686 = RATIONAL(-1.0,2.0); + t2822 = t2686*t2715; + t2572 = t2713*t2822; + t2592 = t2696*t2863; + t2944 = z*t2572+t2717*t2592; + t2772 = t2669*t2860; + t2943 = t2716*t2809+t2715*t2772; + t2942 = t2992*y; + t2664 = RATIONAL(-45.0,8.0); + t2941 = t2664*t2757+t2699*t2865; + t2666 = RATIONAL(5.0,2.0); + t2542 = t2666*t2887; + t2940 = t2542+t2656*t2707; + t2939 = -t2707+t2439; + t2938 = t2627+t2680; + t2643 = RATIONAL(45.0,4.0); + t2937 = RATIONAL(-45.0,2.0)*t2778+t2643*t2711; + t2899 = x*z; + t2873 = t2682*t2717; + t2815 = x*t2873; + t2507 = y*t2815; + t2936 = t2507+t2885*t2899; + t2663 = RATIONAL(-15.0,4.0); + t2635 = t2684*t2713; + t2793 = z*t2635; + t2372 = t2716*t2793; + t2935 = t2372+t2663*t2778; + t2896 = t2716*z; + t2804 = t2663*t2896; + t2335 = t2713*t2804; + t2934 = t2655*t2778+t2335; + t2933 = t2713*t2582+t2659*t2760; + t2758 = t2699*t2860; + t2828 = t2681*t2715; + t2591 = t2714*t2828; + t2932 = t2591+t2715*t2758; + t2631 = t2691*t2713; + t2633 = t2676*y; + t2931 = t2633+t2631; + t2930 = t2669*t2757+t2450; + t2675 = RATIONAL(-3.0,1.0); + t2836 = t2675*t2716; + t2798 = z*t2836; + t2929 = t2713*t2798+t2584; + t2709 = y*t2879; + t2856 = -t2709-t2703; + t2928 = -t2856+t2945; + t2629 = t2691*t2716; + t2602 = t2714*t2629; + t2539 = t2680*t2845; + t2927 = t2717*t2602+(t2539+t2580)*z; + t2926 = t2717*t2629+t2661*t2760+z*t2563; + t2647 = RATIONAL(-27.0,4.0); + t2671 = RATIONAL(5.0,1.0); + t2925 = t2647*t2760+t2889*t2671*t2879; + t2651 = RATIONAL(15.0,2.0); + t2830 = t2715*t2666; + t2564 = t2714*t2830; + t2924 = t2678*t2711+t2651*t2778+t2564; + t2848 = t2680*t2714; + t2611 = x*t2848; + t2541 = t2716*t2848; + t2535 = t2713*t2823; + t2923 = t2717*t2535+(t2611+t2541)*z; + t2576 = t2715*t2824; + t2606 = t2683*t2863; + t2579 = y*t2822; + t2922 = t2717*t2606+(t2579+t2576)*z; + t2642 = RATIONAL(15.0,1.0); + t2640 = RATIONAL(-27.0,2.0); + t2921 = y*t2582+t2642*t2703+t2640*t2760; + t2672 = RATIONAL(2.0,1.0); + t2687 = RATIONAL(-6.0,1.0); + t2920 = t2672*t2706+t2687*t2707+t2579; + t2808 = t2671*t2887; + t2919 = t2647*t2757+t2671*t2707+x*t2808; + t2670 = RATIONAL(-2.0,1.0); + t2571 = t2670*t2887; + t2918 = t2670*t2707+x*t2571+y*t2828; + t2917 = z*t2606+t2992*t2713; + t2826 = t2714*t2685; + t2701 = RATIONAL(-9.0,1.0); + t2916 = t2701*t2711+RATIONAL(45.0,2.0)*t2778+t2715*t2826; + t2915 = -t2858+t2930; + t2623 = t2714*t2822; + t2377 = t2690*t2778; + t2914 = t2623+t2377+t2929; + t2418 = t2715*t2775; + t2540 = t2680*t2712; + t2913 = t2418+t2540+t2969; + t2613 = t2670*t2879; + t2490 = t2675*t2703; + t2912 = t2613+t2490+t2979; + t2911 = t2582+t2657*t2703+t2979; + t2910 = t2651*t2707+t2826*t2899+t2948; + t2909 = t2685*t2709+t2651*t2703+t2971; + t2658 = RATIONAL(-15.0,1.0); + t2638 = RATIONAL(135.0,8.0); + t2850 = t2717*t2647; + t2645 = RATIONAL(-10.0,1.0); + t2523 = t2645*t2879; + t2908 = t2716*t2850+t2638*t2760+t2523+t2658*t2703; + t2702 = RATIONAL(-5.0,4.0); + t2827 = t2702*t2715; + t2536 = t2714*t2827; + t2907 = t2536+t2643*t2778+t2929; + t2821 = t2695*t2715; + t2906 = t2656*t2778+t2714*t2821+t2969; + t2486 = t2675*t2707; + t2905 = t2571+t2486+t2962; + t2510 = t2682*t2811; + t2893 = t2686*x; + t2618 = t2714*t2893; + t2904 = t2510+t2683*t2757+(t2618+t2585)*z; + t2455 = t2693*t2703; + t2903 = -t2709+t2455+t2971; + t2902 = x*t2542+t2666*t2707+t2930; + t2878 = t2686*y; + t2901 = t2675*t2778+t2878*t2899-t2712+t2951; + t2774 = t2701*t2835; + t2380 = y*t2806; + t2900 = t2714*t2774+t2712+t2380+t2946; + t2898 = y*z; + t2897 = x*y; + t2894 = x*t2714; + t2636 = t2676*x; + t2892 = t2672*z; + t2890 = y*t2715; + t2886 = z*t2702; + t2628 = t2681*x; + t2679 = RATIONAL(1.0,8.0); + t2884 = x*t2679; + t2880 = t2713*x; + t2704 = z*t2880; + t2796 = z*t2626; + t2461 = t2696*t2795; + t2877 = y*t2796+t2461; + t2875 = z*t2628; + t2874 = t2699*t2717; + t2469 = t2717*t2590; + t2872 = t2469+t2713*t2796; + t2870 = t2672*t2715; + t2415 = t2715*t2571; + t2868 = t2415+t2409; + t2416 = t2700*t2757; + t2867 = t2409+t2416; + t2866 = z*t2636; + t2829 = t2696*t2715; + t2770 = t2717*t2829; + t2864 = y*t2770+t2504; + t2479 = t2713*t2802; + t2861 = t2714*t2815+t2479; + t2857 = t2686*t2713; + t2855 = t2708+t2711; + t2851 = t2886*t2897+t2380; + t2291 = t2654*t2795; + t2849 = t2291+y*t2807; + t2837 = t2713*t2679; + t2573 = x*t2837; + t2847 = t2573+t2689*t2894; + t2844 = t2686*t2716; + t2842 = t2716*t2679; + t2843 = t2714*t2842+t2624; + t2841 = t2675*t2713; + t2840 = t2695*t2899; + t2710 = z*t2897; + t2839 = -t2710-t2704; + t2834 = t2716+t2713; + t2832 = t2717*t2690; + t2819 = t2713*t2886; + t2586 = y*t2874; + t2813 = t2713*t2882; + t2805 = t2680*t2895; + t2801 = z*t2857; + t2581 = t2673*t2887; + t2797 = z*t2631; + t2667 = RATIONAL(4.0,1.0); + t2568 = t2667*t2879; + t2538 = z*t2830; + t2794 = z*t2870; + t2561 = y*t2884; + t2562 = t2682*t2880; + t2792 = t2611+t2561+t2562; + t2791 = t2586+t2315+t2664*t2817; + t2790 = t2297+t2941; + t2789 = t2480+t2973; + t2788 = t2715*t2832; + t2787 = t2714*t2853; + t2786 = t2694*t2835; + t2785 = t2669*t2835; + t2784 = x*t2787+t2475+t2479; + t2783 = t2664*t2820+x*t2874+t2286; + t2782 = t2661*t2863+t2629+t2575; + t2781 = t2714*t2832; + t2294 = RATIONAL(81.0,8.0)*t2763; + t2780 = t2639*t2757+t2294+t2650*t2865; + t2608 = x*t2888; + t2614 = t2689*t2880; + t2779 = x*t2852+t2608+t2614; + t2776 = t2693*t2835; + t2512 = t2717*t2584; + t2773 = t2684*t2757+t2510+t2512; + t2698 = RATIONAL(9.0,1.0); + t2771 = t2698*t2835; + t2769 = t2690*t2760+t2323+t2492; + t2533 = x*t2833; + t2767 = t2636+x*t2838+t2533; + t2766 = t2566+t2531+t2635; + t2765 = t2291+t2693*t2708+t2604; + t2762 = t2323+t2988; + t2545 = y*t2842; + t2761 = t2686*t2708+t2545+t2461; + t2759 = t2480+t2716*t2758+t2472; + t2755 = t2684*t2860; + t2587 = t2714*t2627; + t2577 = t2714*t2854; + t2548 = t2714*t2844; + t2754 = t2297+t2664*t2760+t2699*t2862; + t2660 = RATIONAL(25.0,4.0); + t2753 = t2685+t2660*t2715; + t2752 = t2714*t2814; + t2751 = t2681+t2874; + t2750 = t2715*t2816; + t2748 = t2685+t2660*t2714; + t2746 = t2686+t2683*t2717; + t2745 = t2680+t2678*t2717; + t2744 = t2869-z+t2676; + t2364 = t2716*t2797; + t2374 = z*t2536; + t2743 = t2714*t2756+t2409+t2364+t2374; + t2385 = z*t2540; + t2742 = z*t2548+t2512+t2385+t2696*t2757; + t2496 = t2683*t2778; + t2741 = t2496+t2372+t2974; + t2428 = y*t2810; + t2316 = t2714*t2523; + t2740 = t2297+t2428+t2316+y*t2840+t2714*t2771+t2335; + t2353 = t2715*t2808; + t2739 = t2353+t2663*t2703+t2821*t2898+t2769; + t2738 = t2581+t2657*t2707+t2962+t2980; + t2737 = t2353+t2323+t2664*t2778+t2688*t2712+t2946; + t2559 = t2716*t2837; + t2736 = -t2705+t2714*t2825+t2469+t2715*t2755+t2716*t2801+t2559; + t2735 = t2645*t2887+t2638*t2757+t2658*t2707+t2713*t2850+t2947; + t2734 = t2415+t2672*t2707+t2617+t2679*t2890+t2867; + t2444 = z*t2564; + t2733 = t2444+t2789-t2858*t2702; + t2649 = RATIONAL(-25.0,4.0); + t2280 = t2649*t2705; + t2732 = t2280+t2715*t2813+t2538+t2754; + t2271 = RATIONAL(-20.0,1.0)*t2705; + t2731 = t2640*t2757+t2305+t2271+t2294+t2642*t2707+x*t2581; + t2730 = t2945+t2949+t2889*t2538; + t2729 = t2714*t2840+t2353+t2663*t2707+t2762; + t2728 = t2714*t2764+t2480+t2444+t2715*t2838+t2951; + t2727 = t2702*t2703+t2444+t2827*t2898+t2759; + t2726 = t2364+t2714*t2776+y*t2866+t2507+t2868; + t2500 = t2693*t2707; + t2725 = t2500-t2706+t2948+t2982; + t2724 = t2713*t2794+t2394+t2614+t2714*t2884+t2868; + t2677 = RATIONAL(6.0,1.0); + t2723 = t2677*t2703+t2628+t2316+t2688*t2894+t2568+t2562+t2754; + t2487 = t2714*t2568; + t2722 = t2487+t2714*t2628+t2561+t2573+t2759+t2889*t2613; + t2721 = t2546+t2316+t2688*t2890+t2667*t2887+t2681*y+t2677*t2707+t2790; + t2674 = RATIONAL(8.0,1.0); + t2434 = t2674*t2705; + t2720 = t2618+t2608+t2687*t2703+y*t2794+t2533+t2434+t2769; + t2662 = RATIONAL(75.0,4.0); + t2652 = RATIONAL(-12.0,1.0); + t2646 = RATIONAL(-75.0,4.0); + t2644 = RATIONAL(27.0,2.0); + t2641 = RATIONAL(12.0,1.0); + t2622 = t2713*t2825; + t2619 = t2684*t2845; + t2601 = t2714*t2626; + t2599 = t2692*t2890; + t2596 = t2713*t2828; + t2565 = t2715*t2837; + t2557 = t2715*t2888; + t2554 = t2713*t2829; + t2551 = t2689*t2845; + t2543 = t2682*t2845; + t2532 = t2689*t2863; + t2526 = t2661*t2845; + t2525 = t2665*t2863; + t2519 = t2717*t2587; + t2516 = t2680*t2708; + t2513 = t2716*t2805; + t2511 = y*t2875; + t2509 = x*t2755; + t2503 = x*t2805; + t2502 = x*t2818; + t2501 = x*t2758; + t2488 = y*t2777; + t2485 = t2694*t2708; + t2473 = y*t2786; + t2471 = x*t2801; + t2464 = t2682*t2817; + t2463 = t2682*t2757; + t2457 = x*t2797; + t2454 = x*t2803; + t2449 = t2690*t2711; + t2441 = x*t2800; + t2437 = t2714*t2810; + t2436 = t2683*t2817; + t2435 = x*t2809; + t2425 = t2683*t2820; + t2422 = t2713*t2866; + t2413 = t2629*t2898; + t2412 = t2695*t2708; + t2410 = t2697*t2817; + t2406 = t2717*t2577; + t2390 = t2714*t2802; + t2388 = t2716*t2819; + t2387 = x*t2772; + t2384 = t2698*t2711; + t2382 = x*t2819; + t2381 = t2702*t2708; + t2378 = t2717*t2585; + t2376 = t2695*t2707; + t2375 = y*t2785; + t2370 = t2694*t2757; + t2368 = t2715*t2586; + t2367 = t2627*t2898; + t2360 = y*t2788; + t2359 = y*t2798; + t2358 = x*t2781; + t2357 = t2713*t2875; + t2354 = t2700*t2817; + t2352 = y*t2799; + t2347 = t2714*t2806; + t2340 = t2841*t2899; + t2339 = x*t2793; + t2337 = t2669*t2711; + t2331 = y*t2804; + t2300 = x*t2813; + t2295 = t2663*t2704; + t2290 = t2648*t2711; + t2289 = t2650*t2760; + t2287 = t2644*t2757; + t2282 = t2654*t2757; + t2277 = t2644*t2760; + t2264 = t2654*t2760; + coeff_dz_m1_m1_m1 = t2496+t2516+t2858+t2773+t2714*t2794+t2622+t2623+t2856 ++t2503+t2513+t2519+t2779+t2509+t2936+t2952+t2953+t2960; + coeff_dz_0_m1_m1 = (t2672*t2714-t2889)*z+t2500+t2746*t2714+t2602+t2730+ +t2633+t2599+t2906+t2963+t2984+t2985+t2987; + coeff_dz_p1_m1_m1 = t2370+t2722+t2473+t2471+t2706+t2587+t2485+t2539+t2486 ++t2784+t2901+t2983; + coeff_dz_p2_m1_m1 = t2463+t2707+t2736+t2464+t2601+t2551+t2557+t2761+t2927 +; + coeff_dz_m1_0_m1 = t2454+t2746*t2715+(t2870-t2881)*z+t2455+t2902+t2767+ +t2535+t2906+t2949+t2961+t2966+t2970; + coeff_dz_0_0_m1 = t2686+t2526+t2631+t2738+(t2695+RATIONAL(-25.0,8.0)* +t2715)*t2714+t2449+(t2672+t2834*t2693)*z+(t2683+t2656*t2715+(RATIONAL(-75.0,8.0 +)*t2715+t2656)*t2714)*t2717+t2821+t2782+t2911; + coeff_dz_p1_0_m1 = t2525+t2675*t2835+t2723-t2715+t2627+(x+t2836)*z+t2441+ +t2910+t2924+t2956+t2981; + coeff_dz_p2_0_m1 = t2554+t2896+t2744*t2715+t2728+t2926+t2978+t2990; + coeff_dz_m1_p1_m1 = t2487+t2901+t2789+t2761+t2792+t2541+t2709+t2378+t2619 ++t2488+t2490+t2441+t2918+t2955; + coeff_dz_0_p1_m1 = t2606+t2675*t2860-t2714+t2721+t2485+(t2841+y)*z+t2766+ +t2909+t2924+t2942; + coeff_dz_p1_p1_m1 = t2576+t2454+t2436+(t2687*t2717+t2670)*t2712+t2720+ +t2449+t2425+t2920+t2936+t2986+t2987+t2988; + coeff_dz_p2_p1_m1 = t2516+t2548+t2734+t2543+t2864+t2913+t2922; + coeff_dz_m1_p2_m1 = t2703+t2596+t2406+t2736+t2471+t2532+t2847+t2861+t2923 +; + coeff_dz_0_p2_m1 = t2592+t2895+t2744*t2714+t2728+t2917+t2959+t2972; + coeff_dz_p1_p2_m1 = t2724+t2572+t2390+t2503+t2577+t2904+t2913; + coeff_dz_p2_p2_m1 = t2565+t2513+(t2689+t2873)*t2712+t2742+t2843+t2944; + coeff_dz_m1_m1_0 = t2388+t2382+t2387+t2375+t2730+t2381+t2377+t2851+t2902; + coeff_dz_0_m1_0 = t2781+t2289+t2738+t2849+(t2649*t2715+t2666)*t2816+t2989 ++t2991; + coeff_dz_p1_m1_0 = t2331+t2501+t2435+t2740+t2910+t2925+t2976; + coeff_dz_p2_m1_0 = t2410+t2412+t2727+t2943+t2990; + coeff_dz_m1_0_0 = t2788+t2300+(t2649*t2714+t2666)*t2814+t2911+t2950+t2967 ++t2980+t2991; + coeff_dz_0_0_0 = t2290+(t2648*t2715+t2690+(t2648+RATIONAL(225.0,8.0)* +t2715)*t2714)*t2717+(t2673+t2653*t2715+t2657*t2716+(t2662*t2715+t2657)*t2713+( +RATIONAL(-125.0,4.0)*t2715+t2662*t2716+t2653)*t2714)*z+t2780+t2965; + coeff_dz_p1_0_0 = t2287+t2295+t2771+(t2748*x+(t2646*t2714+t2651)*t2716)*z ++t2783+t2908+t2937+t2947; + coeff_dz_p2_0_0 = t2785+t2282+t2748*t2896+t2732+t2934; + coeff_dz_m1_p1_0 = t2295+t2412+t2740+t2368+t2909+t2919+t2977; + coeff_dz_0_p1_0 = t2698*t2860+t2277+t2331+(t2753*y+(t2651+t2646*t2715)* +t2713)*z+t2735+t2791+t2937; + coeff_dz_p1_p1_0 = RATIONAL(18.0,1.0)*t2778+t2300+t2358+t2290+t2731+t2360 ++t2849+t2851+t2921; + coeff_dz_p2_p1_0 = t2381+t2354+t2739+t2954+t2957; + coeff_dz_m1_p2_0 = t2435+t2347+t2733+t2943+t2959; + coeff_dz_0_p2_0 = t2264+t2280+t2772+t2753*t2895+t2790+t2934+t2940; + coeff_dz_p1_p2_0 = t2437+t2382+t2729+t2933+t2957; + coeff_dz_p2_p2_0 = t2697*t2778+t2376+t2374+t2388+t2867+t2968; + coeff_dz_m1_m1_p1 = t2596+t2356+t2722+t2540+t2428+t2601+t2501+t2545+t2559 ++t2368-t2839+t2855+t2918+t2973; + coeff_dz_0_m1_p1 = t2745*t2714+t2721+t2359+t2587+t2670*t2816+t2791+t2907+ +t2925+t2972; + coeff_dz_p1_m1_p1 = t2289+t2765+t2668*t2750+t2387+t2572+t2602+t2839+t2762 ++t2360+t2779+t2434+t2900+t2920; + coeff_dz_p2_m1_p1 = t2734+t2565+t2354-t2855+t2928+t2932+t2953; + coeff_dz_m1_0_p1 = t2723+t2340+t2619+t2745*t2715+t2670*t2814+t2783+t2907+ +t2919+t2978; + coeff_dz_0_0_p1 = t2525+(RATIONAL(25.0,8.0)*t2715+t2702)*t2714+(t2667+ +t2834*t2677)*z+(t2678+t2643*t2715+(RATIONAL(-225.0,8.0)*t2715+t2643)*t2714)* +t2717+t2384+t2735+t2827+t2766+t2908+t2938; + coeff_dz_p1_0_p1 = t2576+t2774+t2502+t2715+(t2672*x+t2687*t2716+(t2674+ +t2641*t2713)*t2715)*z+t2731+t2767+t2782+t2916+t2965+t2967; + coeff_dz_p2_0_p1 = t2716*t2892+t2543+t2751*t2715+t2737+t2912+t2954+t2970; + coeff_dz_m1_p1_p1 = -t2708+t2548+t2502+t2358+t2375-t2710+t2535+t2720+ +t2668*t2752+t2900+t2950+t2952; + coeff_dz_0_p1_p1 = t2526+t2765+t2271+t2714+t2701*t2860+(t2687*t2713+t2672 +*y+(t2641*t2716+t2674)*t2714)*z+t2599+t2780+t2916+t2921+t2931+t2986+t2989; + coeff_dz_p1_p1_p1 = t2606+t2287+t2792+t2428+t2340+t2284+t2384+(t2672+ +RATIONAL(-18.0,1.0)*t2717)*t2712+t2277+t2710+((t2652*t2713+t2667*y)*t2715+( +t2652*t2716+RATIONAL(16.0,1.0)*t2715+t2667*x)*t2714)*z+t2359+t2976+t2977+t2981+ +t2983; + coeff_dz_p2_p1_p1 = t2557+t2541+t2708+t2667*t2707+t2554+t2410+t2282+t2545 ++t2903+t2914+t2982; + coeff_dz_m1_p2_p1 = t2724+t2437+t2622-t2704-t2711+t2843+t2915+t2932; + coeff_dz_0_p2_p1 = t2577+t2713*t2892+t2751*t2714+t2737+t2905+t2933+t2985; + coeff_dz_p1_p2_p1 = t2264+t2713*t2568+t2347+t2725+t2592+t2704+t2539+t2847 ++t2914; + coeff_dz_p2_p2_p1 = t2559+t2711+t2551+t2532+(t2679+t2876)*t2712+t2939+ +t2974+t2975; + coeff_dz_m1_m1_p2 = t2357+t2511+t2488+t2418-t2705+t2784+t2872+t2877+t2923 ++t2927; + coeff_dz_0_m1_p2 = t2367+t2775+(-t2714+t2889*t2680)*z+t2727+t2917+t2935+ +t2942; + coeff_dz_p1_m1_p2 = t2436+t2726+t2422+t2413+t2509+t2904+t2928; + coeff_dz_p2_m1_p2 = t2352+t2519+t2681*t2750+t2742+t2864+t2964; + coeff_dz_m1_0_p2 = t2786+t2339+(-t2715+t2881*t2680)*z+t2733+t2926+t2935+ +t2956; + coeff_dz_0_0_p2 = t2337+(-1.0+t2834*t2683)*z+(t2694+t2663*t2715+(RATIONAL +(75.0,8.0)*t2715+t2663)*t2714)*t2717+t2732+t2940+t2941; + coeff_dz_p1_0_p2 = t2457+t2776+(t2694*t2716+t2893)*z+t2729+t2912+t2958+ +t2961; + coeff_dz_p2_0_p2 = t2416+t2777+t2376+(t2844+(t2680+t2635)*t2715)*z+t2743+ +t2966; + coeff_dz_m1_p1_p2 = t2352+t2457+t2726+t2425+t2915+t2922+t2960; + coeff_dz_0_p1_p2 = t2413+t2693*t2860+(t2824+t2878)*z+t2739+t2905+t2958+ +t2963; + coeff_dz_p1_p1_p2 = t2677*t2778+t2339+t2725+t2473+t2511+t2367+t2337+t2903 ++t2955; + coeff_dz_p2_p1_p2 = t2378+t2464+t2931*t2879+t2741+t2877+t2939; + coeff_dz_m1_p2_p2 = t2422+t2385+t2390+t2681*t2752+t2773+t2944+t2964; + coeff_dz_0_p2_p2 = t2787+(t2857+t2938*t2714)*z+t2743+t2968+t2984; + coeff_dz_p1_p2_p2 = t2357+t2370+(t2629+t2636)*t2887+t2741+t2861+t2975; + coeff_dz_p2_p2_p2 = t2406+t2463+t2714*t2770+(t2591+(t2845+t2863)*t2676)*z ++t2872; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-dzz.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-dzz.compute.c new file mode 100644 index 0000000..2f74868 --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order2/coeff-dzz.compute.c @@ -0,0 +1,955 @@ +fp t6595, + t6594, + t6747, + t6596, + t6597, + t6590, + t6587, + t6718, + t6748, + t6549, + t6571, + t6743, + t6737, + t6684, + t6823, + t6690, + t6374, + t6536, + t6589, + t6647, + t6822, + t6578, + t6679, + t6452, + t6541, + t6821, + t6581, + t6735, + t6659, + t6752, + t6540, + t6664, + t6278, + t6820, + t6702, + t6663, + t6572, + t6739, + t6586, + t6317, + t6819, + t6534, + t6568, + t6734, + t6591, + t6653, + t6818, + t6701, + t6451, + t6550, + t6817, + t6583, + t6592, + t6816, + t6753, + t6685, + t6815, + t6554, + t6706, + t6380, + t6579, + t6709, + t6814, + t6576, + t6740, + t6736, + t6729, + t6813, + t6529, + t6671, + t6537, + t6744, + t6379, + t6812, + t6593, + t6683, + t6276, + t6811, + t6565, + t6715, + t6394, + t6530, + t6810, + t6651, + t6809, + t6475, + t6516, + t6348, + t6808, + t6442, + t6655, + t6807, + t6559, + t6713, + t6349, + t6806, + t6577, + t6692, + t6506, + t6311, + t6689, + t6508, + t6805, + t6749, + t6682, + t6804, + t6574, + t6711, + t6803, + t6562, + t6721, + t6652, + t6298, + t6802, + t6580, + t6717, + t6801, + t6387, + t6724, + t6800, + t6535, + t6544, + t6656, + t6283, + t6799, + t6566, + t6677, + t6798, + t6435, + t6797, + t6694, + t6796, + t6795, + t6794, + t6582, + t6678, + t6491, + t6551, + t6793, + t6649, + t6244, + t6792, + t6335, + t6791, + t6790, + t6368, + t6789, + t6464, + t6657, + t6296, + t6788, + t6355, + t6397, + t6787, + t6669, + t6722, + t6341, + t6786, + t6646, + t6303, + t6573, + t6676, + t6785, + t6575, + t6784, + t6665, + t6783, + t6695, + t6353, + t6782, + t6560, + t6524, + t6781, + t6300, + t6780, + t6563, + t6779, + t6648, + t6778, + t6777, + t6347, + t6776, + t6545, + t6775, + t6556, + t6521, + t6774, + t6369, + t6522, + t6773, + t6533, + t6772, + t6569, + t6720, + t6495, + t6771, + t6588, + t6691, + t6770, + t6555, + t6525, + t6769, + t6751, + t6488, + t6768, + t6681, + t6360, + t6767, + t6561, + t6531, + t6766, + t6548, + t6765, + t6727, + t6764, + t6557, + t6567, + t6687, + t6763, + t6420, + t6762, + t6707, + t6432, + t6723, + t6697, + t6383, + t6761, + t6527, + t6492, + t6760, + t6716, + t6302, + t6742, + t6759, + t6741, + t6326, + t6680, + t6758, + t6757, + t6733, + t6428, + t6310, + t6719, + t6756, + t6738, + t6375, + t6538, + t6519, + t6528, + t6755, + t6526, + t6754, + t6584, + t6750, + t6585, + t6746, + t6570, + t6745, + t6339, + t6732, + t6325, + t6731, + t6730, + t6654, + t6327, + t6728, + t6726, + t6725, + t6714, + t6712, + t6710, + t6708, + t6705, + t6704, + t6294, + t6703, + t6700, + t6699, + t6698, + t6696, + t6539, + t6693, + t6688, + t6686, + t6675, + t6674, + t6673, + t6542, + t6672, + t6670, + t6668, + t6667, + t6666, + t6662, + t6661, + t6660, + t6658, + t6650, + t6504, + t6295, + t6645, + t6543, + t6564, + t6644, + t6643, + t6642, + t6263, + t6641, + t6247, + t6640, + t6418, + t6472, + t6308, + t6639, + t6264, + t6638, + t6637, + t6636, + t6635, + t6268, + t6634, + t6346, + t6633, + t6632, + t6631, + t6630, + t6629, + t6628, + t6552, + t6627, + t6626, + t6484, + t6623, + t6430, + t6622, + t6503, + t6621, + t6422, + t6620, + t6304, + t6619, + t6466, + t6618, + t6381, + t6617, + t6616, + t6615, + t6513, + t6614, + t6547, + t6386, + t6613, + t6612, + t6558, + t6440, + t6611, + t6489, + t6610, + t6609, + t6608, + t6366, + t6607, + t6606, + t6605, + t6396, + t6604, + t6388, + t6603, + t6602, + t6601, + t6600, + t6553, + t6546, + t6532, + t6500, + t6499, + t6485, + t6470, + t6468, + t6467, + t6463, + t6462, + t6461, + t6460, + t6459, + t6458, + t6455, + t6454, + t6449, + t6445, + t6443, + t6436, + t6431, + t6424, + t6415, + t6414, + t6406, + t6403, + t6400, + t6399, + t6377, + t6373, + t6371, + t6365, + t6364, + t6362, + t6361, + t6356, + t6354, + t6351, + t6350, + t6344, + t6338, + t6337, + t6333, + t6332, + t6331, + t6330, + t6329, + t6319, + t6316, + t6315, + t6314, + t6299, + t6297, + t6292, + t6279, + t6271, + t6260, + t6246; + t6595 = y*y; + t6594 = t6595*y; + t6747 = y+t6594; + t6596 = x*x; + t6597 = t6596*x; + t6590 = t6595*t6597; + t6587 = x*t6595; + t6718 = t6590+t6587; + t6748 = x+t6597; + t6549 = RATIONAL(15.0,4.0); + t6571 = RATIONAL(-3.0,2.0); + t6743 = t6571*z; + t6737 = z*t6595; + t6684 = x*t6737; + t6823 = x*t6743+t6549*t6684; + t6690 = t6549*t6594; + t6374 = t6597*t6690; + t6536 = RATIONAL(-45.0,2.0); + t6589 = t6596*t6595; + t6647 = z*t6589; + t6822 = t6374+t6536*t6647; + t6578 = RATIONAL(3.0,1.0); + t6679 = t6578*t6597; + t6452 = t6594*t6679; + t6541 = RATIONAL(-45.0,4.0); + t6821 = t6541*t6647+t6452; + t6581 = RATIONAL(9.0,1.0); + t6735 = t6581*z; + t6659 = t6596*t6735; + t6752 = z*t6597; + t6540 = RATIONAL(-27.0,4.0); + t6664 = t6540*t6752; + t6278 = y*t6664; + t6820 = y*t6659+t6278; + t6702 = t6578*t6596; + t6663 = z*t6702; + t6572 = RATIONAL(3.0,4.0); + t6739 = t6572*z; + t6586 = x*y; + t6317 = t6739*t6586; + t6819 = y*t6663+t6317; + t6534 = RATIONAL(45.0,4.0); + t6568 = RATIONAL(-9.0,2.0); + t6734 = z*t6568; + t6591 = t6594*t6596; + t6653 = z*t6591; + t6818 = t6534*t6653+t6594*t6734; + t6701 = t6572*t6594; + t6451 = t6597*t6701; + t6550 = RATIONAL(-15.0,2.0); + t6817 = t6451+t6550*t6647; + t6583 = RATIONAL(-9.0,1.0); + t6592 = t6594*t6597; + t6816 = t6583*t6592+RATIONAL(45.0,1.0)*t6647; + t6753 = y*z; + t6685 = t6596*t6549; + t6815 = y*t6743+t6685*t6753; + t6554 = RATIONAL(-15.0,4.0); + t6706 = t6554*t6597; + t6380 = t6595*t6706; + t6579 = RATIONAL(3.0,2.0); + t6709 = t6579*t6597; + t6814 = (t6380+t6709)*z; + t6576 = RATIONAL(9.0,2.0); + t6740 = z*t6576; + t6736 = z*t6596; + t6729 = y*t6736; + t6813 = y*t6740+t6541*t6729; + t6529 = RATIONAL(-135.0,4.0); + t6671 = z*t6590; + t6537 = RATIONAL(27.0,2.0); + t6744 = z*t6537; + t6379 = t6597*t6744; + t6812 = t6529*t6671+t6379; + t6593 = t6594*x; + t6683 = z*t6593; + t6276 = t6540*t6683; + t6811 = t6276+t6537*t6653; + t6565 = RATIONAL(-3.0,1.0); + t6715 = t6565*t6597; + t6394 = t6594*t6715; + t6530 = RATIONAL(45.0,2.0); + t6810 = t6530*t6647+t6394; + t6651 = t6534*t6737; + t6809 = (t6734+t6651)*x; + t6475 = t6594*t6702; + t6516 = x*t6701; + t6348 = z*t6516; + t6808 = t6348+z*t6475; + t6442 = t6597*t6740; + t6655 = t6541*t6737; + t6807 = t6442+t6597*t6655; + t6559 = RATIONAL(-9.0,4.0); + t6713 = t6597*t6559; + t6349 = t6713*t6753; + t6806 = t6349+t6595*t6442; + t6577 = RATIONAL(-3.0,4.0); + t6692 = t6577*t6594; + t6506 = x*t6692; + t6311 = z*t6506; + t6689 = t6579*t6596; + t6508 = t6594*t6689; + t6805 = t6311+z*t6508; + t6749 = z*t6579; + t6682 = t6554*t6596; + t6804 = t6682*t6753+y*t6749; + t6574 = RATIONAL(-1.0,2.0); + t6711 = t6574*t6597; + t6803 = t6594*t6711+t6579*t6647; + t6562 = RATIONAL(2.0,1.0); + t6721 = t6562*t6596; + t6652 = t6559*t6737; + t6298 = t6597*t6652; + t6802 = t6298+t6594*t6721; + t6580 = RATIONAL(5.0,4.0); + t6717 = t6596*t6580; + t6801 = t6298+t6594*t6717; + t6387 = t6594*t6682; + t6724 = t6579*t6594; + t6800 = (t6724+t6387)*z; + t6535 = RATIONAL(27.0,1.0); + t6544 = RATIONAL(27.0,4.0); + t6656 = t6544*t6752; + t6283 = y*t6656; + t6799 = t6535*t6671+t6283; + t6566 = RATIONAL(1.0,4.0); + t6677 = t6566*t6594; + t6798 = t6597*t6677+t6571*t6647; + t6435 = t6597*t6692; + t6797 = t6435+t6549*t6647; + t6694 = t6597*t6580; + t6796 = t6568*t6647+t6594*t6694; + t6795 = t6554*t6684+x*t6749; + t6794 = RATIONAL(-45.0,1.0)*t6647+t6534*t6592; + t6582 = RATIONAL(9.0,4.0); + t6678 = t6597*t6582; + t6491 = t6594*t6678; + t6551 = RATIONAL(-15.0,1.0); + t6793 = t6551*t6647+t6491; + t6649 = z*t6592; + t6244 = RATIONAL(-81.0,4.0)*t6649; + t6792 = t6244+RATIONAL(25.0,1.0)*t6589; + t6335 = t6583*t6647; + t6791 = t6374+t6335; + t6790 = t6541*t6653+t6594*t6740; + t6368 = t6594*t6706; + t6789 = t6368+t6534*t6647; + t6464 = t6597*t6734; + t6657 = z*t6678; + t6296 = y*t6657; + t6788 = t6296+t6595*t6464; + t6355 = t6578*t6647; + t6397 = t6571*t6592; + t6787 = t6355+t6397; + t6669 = t6576*t6737; + t6722 = t6559*t6753; + t6341 = x*t6722; + t6786 = x*t6669+t6341; + t6646 = t6582*t6736; + t6303 = t6594*t6646; + t6573 = RATIONAL(-5.0,2.0); + t6676 = t6595*t6573; + t6785 = t6597*t6676+t6303; + t6575 = RATIONAL(-6.0,1.0); + t6784 = y*t6721+t6575*t6591; + t6665 = t6595*t6735; + t6783 = t6296+t6597*t6665; + t6695 = t6596*t6573; + t6353 = t6595*t6657; + t6782 = t6594*t6695+t6353; + t6560 = RATIONAL(-2.0,1.0); + t6524 = t6560*t6596; + t6781 = y*t6524+t6560*t6591; + t6300 = t6559*t6683; + t6780 = t6300+t6583*t6653; + t6563 = RATIONAL(-5.0,1.0); + t6779 = t6544*t6653+t6563*t6590; + t6648 = t6572*t6736; + t6778 = t6595*t6711+t6594*t6648; + t6777 = -t6591+t6353; + t6347 = t6581*t6647; + t6776 = t6394+t6347; + t6545 = RATIONAL(15.0,2.0); + t6775 = t6545*t6647+t6397; + t6556 = RATIONAL(5.0,2.0); + t6521 = t6556*t6595; + t6774 = t6556*t6590+x*t6521; + t6369 = t6594*t6685; + t6522 = t6556*t6596; + t6773 = t6369+t6522; + t6533 = RATIONAL(15.0,1.0); + t6772 = t6568*t6592+t6533*t6647; + t6569 = RATIONAL(1.0,2.0); + t6720 = t6569*t6596; + t6495 = t6571*t6590; + t6771 = z*t6495+t6747*t6720; + t6588 = t6596*y; + t6691 = t6588+t6591; + t6770 = t6691+t6788; + t6555 = RATIONAL(-27.0,1.0); + t6525 = t6563*t6596; + t6769 = y*t6525+t6555*t6671+t6533*t6591; + t6751 = t6574*x; + t6488 = t6594*t6709; + t6768 = t6488+y*t6751+t6575*t6647; + t6681 = t6595*t6580; + t6360 = t6581*t6653; + t6767 = t6380+x*t6681+t6360; + t6561 = RATIONAL(5.0,1.0); + t6531 = RATIONAL(-27.0,2.0); + t6766 = t6531*t6653+t6718*t6561; + t6548 = RATIONAL(18.0,1.0); + t6765 = t6368+t6548*t6647+t6580*t6586; + t6727 = t6571*t6594; + t6764 = -t6595+t6495+(t6727+t6369)*z; + t6557 = RATIONAL(4.0,1.0); + t6567 = RATIONAL(6.0,1.0); + t6687 = t6567*t6595; + t6763 = t6597*t6687+t6557*t6595+t6790; + t6420 = t6595*t6679; + t6762 = -t6587+t6420+t6780; + t6707 = t6571*t6596; + t6432 = t6594*t6707; + t6723 = t6571*t6597; + t6697 = t6549*t6597; + t6383 = t6595*t6697; + t6761 = t6432-t6596+(t6723+t6383)*z; + t6527 = t6560*t6595; + t6492 = t6595*t6715; + t6760 = t6527+t6492+t6818; + t6716 = t6577*t6753; + t6302 = x*t6716; + t6742 = t6566*y; + t6759 = t6567*t6647+x*t6742+t6302+t6435; + t6741 = t6562*x; + t6326 = t6582*t6683; + t6680 = t6595*t6575; + t6758 = t6597*t6680+t6595*t6741+t6326+t6360; + t6757 = t6545*t6590+x*t6676+t6780; + t6733 = t6577*t6597; + t6428 = y*t6733; + t6310 = z*t6428; + t6719 = t6596*t6574; + t6756 = t6310+z*t6492+t6508+y*t6719; + t6738 = z*t6531; + t6375 = t6597*t6738; + t6538 = RATIONAL(-10.0,1.0); + t6519 = t6538*t6596; + t6528 = RATIONAL(135.0,4.0); + t6755 = t6551*t6591+t6528*t6671+t6375+t6519; + t6526 = t6563*t6595; + t6754 = t6526+t6550*t6590+t6818; + t6584 = RATIONAL(-5.0,4.0); + t6750 = y*t6584; + t6585 = y*t6597; + t6746 = t6569*x; + t6570 = RATIONAL(-1.0,4.0); + t6745 = y*t6570; + t6339 = t6582*z*t6586; + t6732 = x*t6750+t6339; + t6325 = z*t6451; + t6731 = t6325+t6577*t6653; + t6730 = t6572*t6597; + t6654 = z*t6730; + t6327 = y*t6654; + t6728 = t6327+t6596*t6716; + t6726 = t6574*t6594; + t6725 = t6565*t6594; + t6714 = -t6590+t6589; + t6712 = t6562*t6597; + t6710 = t6550*t6596; + t6708 = t6584*t6594; + t6705 = -t6585-t6592; + t6704 = t6326+x*t6708; + t6294 = z*t6491; + t6703 = t6559*t6653+t6294; + t6700 = t6595*t6584; + t6699 = t6566*t6597; + t6698 = t6597+t6594; + t6696 = t6567*t6596; + t6539 = RATIONAL(-75.0,4.0); + t6693 = t6539*t6595; + t6688 = t6596*t6565; + t6686 = t6596*t6561; + t6675 = t6302+y*t6746; + t6674 = t6570*t6594; + t6673 = t6597*t6569; + t6542 = RATIONAL(-25.0,4.0); + t6672 = t6542*t6596; + t6670 = t6578*t6737; + t6668 = t6595*t6734; + t6667 = t6583*t6737; + t6666 = t6579*t6737; + t6662 = t6576*t6736; + t6661 = t6583*t6736; + t6660 = t6596*t6734; + t6658 = z*t6689; + t6650 = t6577*t6737; + t6504 = t6594*t6713; + t6295 = z*t6504; + t6645 = t6295+t6806; + t6543 = RATIONAL(-18.0,1.0); + t6564 = RATIONAL(8.0,1.0); + t6644 = t6543*z+t6564; + t6643 = y*t6734+t6534*t6729+t6278; + t6642 = t6565*z+t6562; + t6263 = t6544*t6649; + t6641 = t6349+t6263+t6597*t6667; + t6247 = t6544*t6683; + t6640 = t6247+(t6655+t6740)*x; + t6418 = t6594*t6688; + t6472 = t6595*t6709; + t6308 = z*t6435; + t6639 = t6308+t6310+z*t6472; + t6264 = t6540*t6649; + t6638 = t6264+t6464+t6597*t6651; + t6637 = t6707*t6753+t6327+t6317; + t6636 = t6576*t6653+t6300+t6295; + t6635 = t6263+t6807; + t6268 = RATIONAL(81.0,4.0)*t6649; + t6634 = t6529*t6653+t6594*t6744+t6268; + t6346 = t6568*t6653; + t6633 = t6346+t6326+t6294; + t6632 = t6264+t6783; + t6631 = t6743+t6569; + t6630 = t6247+x*t6667+t6341; + t6629 = t6595*t6748; + t6628 = t6747*t6596; + t6552 = RATIONAL(25.0,4.0); + t6627 = t6552*t6596+t6573; + t6626 = t6552*t6595+t6573; + t6484 = t6595*t6686; + t6623 = t6264+t6484+t6595*t6656+t6563*t6591; + t6430 = t6595*t6522; + t6622 = t6554*t6647+t6488+t6430+t6295; + t6503 = t6560*t6589; + t6621 = t6503+t6595*t6712+t6703; + t6422 = t6596*t6700; + t6620 = t6422+t6597*t6681+t6703; + t6304 = t6565*t6647; + t6619 = t6451+t6589+t6304+t6295; + t6466 = t6595*t6720; + t6618 = t6308+t6466+t6594*t6719+t6595*t6654; + t6381 = t6595*t6519; + t6617 = t6595*t6375+t6381+t6263+t6283+t6747*t6686; + t6616 = t6430+t6645+(t6708+t6750)*t6596; + t6615 = y*t6695+t6381+t6545*t6591+t6641; + t6513 = t6564*t6589; + t6614 = t6264+t6513+t6452+t6339-t6586+t6543*t6647; + t6547 = RATIONAL(25.0,2.0); + t6386 = t6547*t6589; + t6613 = t6386+t6525+t6594*t6710+t6638; + t6612 = t6503+t6633+t6718; + t6558 = RATIONAL(-4.0,1.0); + t6440 = t6558*t6589; + t6611 = -t6588+t6440+t6475+t6641; + t6489 = t6557*t6589; + t6610 = x*t6527+t6489+t6560*t6590+t6636; + t6609 = t6430+t6636+t6748*t6700; + t6608 = t6503+t6472+t6311+t6574*t6587+t6294+z*t6418; + t6366 = t6595*t6672; + t6607 = t6263+t6383+t6521+t6366+t6790; + t6606 = t6524+t6484+t6418+t6638; + t6605 = t6484+t6387+y*t6717+t6632; + t6396 = t6563*t6589; + t6604 = t6396+t6294+t6788+t6747*t6522; + t6388 = RATIONAL(-20.0,1.0)*t6589; + t6603 = t6555*t6653+t6388+x*t6526+t6276+t6533*t6590+t6268; + t6602 = t6594*t6738+t6528*t6653+t6538*t6595+t6551*t6590+t6792; + t6601 = t6557*t6596+t6381+t6594*t6696+t6635; + t6600 = t6325-t6589+z*t6432+t6348+(t6673+t6746)*t6595; + t6553 = RATIONAL(75.0,4.0); + t6546 = RATIONAL(-12.0,1.0); + t6532 = RATIONAL(12.0,1.0); + t6500 = x*t6726; + t6499 = y*t6709; + t6485 = y*t6711; + t6470 = y*t6673; + t6468 = x*t6727; + t6467 = t6594*t6673; + t6463 = t6576*t6592; + t6462 = t6584*t6585; + t6461 = x*t6745; + t6460 = t6569*t6593; + t6459 = x*t6674; + t6458 = t6597*t6674; + t6455 = t6597*t6745; + t6454 = t6597*t6708; + t6449 = y*t6679; + t6445 = y*t6730; + t6443 = x*t6724; + t6436 = x*t6677; + t6431 = x*t6725; + t6424 = t6581*t6592; + t6415 = y*t6699; + t6414 = t6580*t6593; + t6406 = y*t6723; + t6403 = y*t6694; + t6400 = t6578*t6593; + t6399 = y*t6715; + t6377 = t6541*t6592; + t6373 = t6554*t6593; + t6371 = y*t6697; + t6365 = y*t6706; + t6364 = x*t6690; + t6362 = t6565*t6684; + t6361 = t6688*t6753; + t6356 = y*t6648; + t6354 = z*t6420; + t6351 = t6597*t6650; + t6350 = x*t6650; + t6344 = x*t6668; + t6338 = x*t6665; + t6337 = y*t6660; + t6333 = t6596*t6722; + t6332 = y*t6646; + t6331 = y*t6661; + t6330 = x*t6652; + t6329 = y*t6662; + t6319 = t6571*t6684; + t6316 = t6576*t6647; + t6315 = y*t6658; + t6314 = x*t6666; + t6299 = t6572*t6684; + t6297 = t6582*t6684; + t6292 = x*t6670; + t6279 = t6595*t6379; + t6271 = t6595*t6664; + t6260 = t6535*t6653; + t6246 = t6540*t6653; + coeff_dzz_m1_m1_m1 = t6467+t6470+t6304+t6460+t6595*t6721+t6315+t6314+ +t6639+t6675-t6691-t6718+t6805; + coeff_dzz_0_m1_m1 = t6420+t6406+t6642*t6595+t6604-t6747+t6775+t6800+t6804 +; + coeff_dzz_p1_m1_m1 = t6500+t6587+t6499+t6489+t6319+t6492+t6645+t6768+ +t6781+t6808+t6819; + coeff_dzz_p2_m1_m1 = t6485-t6714+t6728+t6731+t6771+t6803; + coeff_dzz_m1_0_m1 = t6475+t6396+t6468+t6642*t6596+t6633-t6748+t6774+t6775 ++t6795+t6814; + coeff_dzz_0_0_m1 = t6463+t6562+t6698*t6578+(t6596*t6693+t6565+(t6595+ +t6596)*t6545)*z+t6613+t6754; + coeff_dzz_p1_0_m1 = x+t6575*t6736+t6715+t6601+t6443+t6757+t6772+t6823; + coeff_dzz_p2_0_m1 = t6597+t6658+t6622+t6761+t6785; + coeff_dzz_m1_p1_m1 = t6588+t6485+t6292+t6418+t6610+t6354+t6443+t6637+ +t6768; + coeff_dzz_0_p1_m1 = y+t6725+z*t6680+t6615+t6499+t6763+t6772+t6815; + coeff_dzz_p1_p1_m1 = t6362+t6406+t6513+t6468+t6361+t6546*t6647+t6463+ +t6632+t6675+t6758+t6784; + coeff_dzz_p2_p1_m1 = t6356+t6470+t6621+t6756+t6787; + coeff_dzz_m1_p2_m1 = t6350+t6351+t6591+t6500+t6600+t6803; + coeff_dzz_0_p2_m1 = t6594+t6666+t6622+t6764+t6782; + coeff_dzz_p1_p2_m1 = t6460+t6299+t6608+t6787+t6802; + coeff_dzz_p2_p2_m1 = t6577*t6647+t6467+t6618+t6778; + coeff_dzz_m1_m1_0 = t6344+t6346+t6337+t6604+t6347+t6454+t6462+t6704+t6732 ++t6774; + coeff_dzz_0_m1_0 = t6264+t6279+t6665+t6386+t6371+t6643+t6747*(t6672+t6556 +)+t6754+t6822; + coeff_dzz_p1_m1_0 = t6414+t6331+t6365+t6617+t6757+t6765+t6786; + coeff_dzz_p2_m1_0 = t6332+t6403+t6616+t6785+t6796; + coeff_dzz_m1_0_0 = t6659+t6364+t6613+t6748*(t6542*t6595+t6556)+t6809+ +t6811+t6822; + coeff_dzz_0_0_0 = t6563+t6377+t6735+t6698*t6550+(t6553*t6594+t6547+t6536* +z)*t6596+(RATIONAL(-125.0,4.0)*t6596+t6547+t6553*t6597+(t6536+RATIONAL(225.0, +4.0)*t6596)*z)*t6595+t6634+t6812; + coeff_dzz_p1_0_0 = t6260+t6373+t6548*t6736+(t6693+t6545)*t6597+t6626*x+ +t6640+t6755+t6792+t6794; + coeff_dzz_p2_0_0 = t6660+t6246+t6366+t6626*t6597+t6635+t6773+t6789; + coeff_dzz_m1_p1_0 = t6329+t6403+t6615+t6373+t6630+t6765+t6766; + coeff_dzz_0_p1_0 = t6548*t6737+t6365+(t6545+t6539*t6596)*t6594+t6627*y+ +t6602+t6794+t6799+t6813; + coeff_dzz_p1_p1_0 = t6603+RATIONAL(36.0,1.0)*t6647+t6338+t6371+t6364+ +t6377+t6732+t6769+t6820; + coeff_dzz_p2_p1_0 = t6333+t6462+t6605+t6779+t6791; + coeff_dzz_m1_p2_0 = t6297+t6414+t6609+t6782+t6796; + coeff_dzz_0_p2_0 = t6668+t6271+t6627*t6594+t6607+t6789; + coeff_dzz_p1_p2_0 = t6330+t6623+t6704+t6767+t6791; + coeff_dzz_p2_p2_0 = t6595*t6646+t6454+t6620+t6801; + coeff_dzz_m1_m1_p1 = t6335+t6610+t6329+t6593+t6586-t6705+t6781+t6786+ +t6806; + coeff_dzz_0_m1_p1 = t6667+t6399+t6747*t6560+t6617+t6763+t6810+t6813; + coeff_dzz_p1_m1_p1 = t6449-t6593+t6279+t6344+t6558*t6628+t6614+t6758+ +t6820; + coeff_dzz_p2_m1_p1 = t6316+t6333+t6621+t6705+t6770; + coeff_dzz_m1_0_p1 = t6431+t6661+t6748*t6560+t6601+t6640+t6766+t6810; + coeff_dzz_0_0_p1 = t6424+t6557+t6698*t6567+(t6583+t6530*t6596+(t6530+ +RATIONAL(-225.0,4.0)*t6596)*t6595)*z+t6602+t6755; + coeff_dzz_p1_0_p1 = t6400+t6575*t6597+t6741+(t6532*t6594+t6644)*t6596+ +t6603+t6809+t6812+t6816; + coeff_dzz_p2_0_p1 = t6662+t6712+t6606+t6779+t6821; + coeff_dzz_m1_p1_p1 = t6400-t6585+t6337+t6338+t6558*t6629+t6614+t6783+ +t6784+t6811; + coeff_dzz_0_p1_p1 = t6562*y+t6388+t6449+t6575*t6594+(t6532*t6597+t6644)* +t6595+t6634+t6643+t6769+t6816; + coeff_dzz_p1_p1_p1 = t6260+t6586+t6424+t6399+t6244+t6331+t6431+(t6546* +t6594+t6557*y)*t6596+(t6546*t6597+t6557*x+(RATIONAL(-36.0,1.0)*z+RATIONAL(16.0, +1.0))*t6596)*t6595+t6630+t6799; + coeff_dzz_p2_p1_p1 = t6246+t6557*t6590+t6332+t6585+t6611+t6776; + coeff_dzz_m1_p2_p1 = -t6593+t6316-t6592+t6330+t6612+t6802; + coeff_dzz_0_p2_p1 = t6669+t6562*t6594+t6623+t6760+t6821; + coeff_dzz_p1_p2_p1 = t6297+t6593+t6557*t6591+t6271+t6440+t6263+t6762+ +t6776; + coeff_dzz_p2_p2_p1 = t6559*t6647+t6592+t6303+t6295+t6714+t6777; + coeff_dzz_m1_m1_p2 = t6458+t6355+t6459+t6461+t6319+t6455+t6600+t6637+ +t6771; + coeff_dzz_0_m1_p2 = t6445+t6670+t6747*t6569+t6616+t6764+t6815+t6817; + coeff_dzz_p1_m1_p2 = t6314+t6608+t6428+t6436+t6361+t6759+t6770; + coeff_dzz_p2_m1_p2 = t6356+t6466+t6415+t6570*t6628+t6639+t6778+t6798; + coeff_dzz_m1_0_p2 = t6663+t6516+t6748*t6569+t6609+t6761+t6817+t6823; + coeff_dzz_0_0_p2 = t6504+RATIONAL(-1.0,1.0)+t6698*t6571+(t6578+t6710+( +t6550+t6553*t6596)*t6595)*z+t6607+t6773+t6807; + coeff_dzz_p1_0_p2 = t6751+t6326+z*t6696+t6709+t6506+t6606+t6767+t6793+ +t6795; + coeff_dzz_p2_0_p2 = t6711+(t6701+t6631)*t6596+t6620+t6797+t6814; + coeff_dzz_m1_p1_p2 = t6362+t6315+t6506+t6415+t6612+t6756+t6759; + coeff_dzz_0_p1_p2 = t6574*y+t6724+z*t6687+t6605+t6428+t6760+t6793+t6804; + coeff_dzz_p1_p1_p2 = t6445+t6504+t6532*t6647+t6292+t6461+t6611+t6516+ +t6762+t6819; + coeff_dzz_p2_p1_p2 = t6303-t6590+t6455+t6354+(t6742+t6692)*t6596+t6619+ +t6728; + coeff_dzz_m1_p2_p2 = t6299+t6436+t6570*t6629+t6618+t6798+t6805; + coeff_dzz_0_p2_p2 = t6294+t6726+t6422+(t6730+t6631)*t6595+t6797+t6800+ +t6801; + coeff_dzz_p1_p2_p2 = t6350+t6459+(t6566*x+t6733)*t6595+t6619+t6777+t6808; + coeff_dzz_p2_p2_p2 = t6596*t6677+t6458+t6351+(t6699+(t6739+t6570)*t6596)* +t6595+t6731; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-I.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-I.compute.c new file mode 100644 index 0000000..92b01c5 --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-I.compute.c @@ -0,0 +1,4369 @@ +fp t8637, + t8636, + t9316, + t8640, + t8639, + t9447, + t9836, + t8638, + t9453, + t9835, + t9834, + t8525, + t9051, + t8635, + t9450, + t8451, + t9410, + t9418, + t8444, + t9004, + t9833, + t8601, + t9277, + t8825, + t8631, + t9333, + t9832, + t9323, + t9171, + t9244, + t9021, + t9831, + t9414, + t9192, + t9285, + t9002, + t9830, + t8528, + t9345, + t8496, + t9237, + t9829, + t9297, + t9395, + t8965, + t9828, + t9284, + t8469, + t9299, + t8798, + t9827, + t9826, + t8590, + t8396, + t9247, + t8805, + t6837, + t9111, + t9822, + t8467, + t9339, + t8810, + t8517, + t9436, + t9185, + t7384, + t9821, + t9366, + t9014, + t9417, + t9820, + t9819, + t9425, + t9195, + t8518, + t7379, + t8574, + t9183, + t9818, + t8540, + t9045, + t8605, + t9254, + t9817, + t8584, + t9266, + t9816, + t8535, + t9343, + t8600, + t8956, + t9815, + t8559, + t9459, + t9144, + t7871, + t8594, + t9433, + t9149, + t9814, + t9302, + t8986, + t9813, + t8972, + t7309, + t8512, + t9235, + t8991, + t7589, + t9812, + t7833, + t8569, + t8914, + t9811, + t9456, + t8521, + t9178, + t7555, + t8522, + t9167, + t9810, + t8542, + t9397, + t8292, + t8465, + t9311, + t9173, + t7182, + t9809, + t9808, + t8554, + t8612, + t9255, + t9807, + t8433, + t9027, + t9443, + t9201, + t7512, + t9806, + t9805, + t8391, + t8889, + t6828, + t9804, + t9023, + t8472, + t8610, + t9398, + t9803, + t8419, + t9249, + t8820, + t6965, + t8494, + t9802, + t9393, + t8961, + t9801, + t9444, + t9430, + t7531, + t8539, + t9800, + t8493, + t9365, + t7493, + t8489, + t9799, + t7211, + t9798, + t8503, + t9346, + t9071, + t8420, + t9384, + t9130, + t7037, + t9797, + t8527, + t9259, + t8439, + t9248, + t9094, + t9796, + t8604, + t8865, + t8032, + t9795, + t8899, + t9794, + t8595, + t7834, + t8583, + t8852, + t9793, + t8422, + t9303, + t9097, + t9289, + t8981, + t9792, + t8412, + t9420, + t9223, + t7093, + t9449, + t9200, + t9791, + t8519, + t9350, + t8794, + t7414, + t8577, + t9252, + t8908, + t9790, + t8866, + t7297, + t8509, + t7300, + t9789, + t8454, + t9208, + t9168, + t7771, + t9788, + t7429, + t9134, + t9787, + t8406, + t8441, + t9205, + t7004, + t9042, + t9786, + t8443, + t7080, + t9204, + t9785, + t8859, + t9784, + t8869, + t8903, + t7424, + t9783, + t9344, + t9160, + t6968, + t9782, + t8417, + t9781, + t9224, + t8470, + t7683, + t8487, + t9780, + t9403, + t8867, + t9779, + t9451, + t9146, + t9137, + t7603, + t9778, + t9377, + t9777, + t8585, + t9446, + t9174, + t7775, + t8588, + t9186, + t9776, + t8603, + t9005, + t8006, + t9775, + t9245, + t9017, + t9774, + t9181, + t8587, + t7854, + t9773, + t8464, + t7233, + t9772, + t9104, + t9771, + t8957, + t9263, + t8853, + t9770, + t8430, + t8962, + t8949, + t7472, + t9769, + t9199, + t7650, + t9458, + t9164, + t7496, + t9768, + t9767, + t8463, + t8799, + t9257, + t8897, + t7165, + t9766, + t8846, + t9388, + t9198, + t7809, + t9765, + t8453, + t7323, + t9764, + t9258, + t9465, + t7936, + t9461, + t9180, + t9763, + t8971, + t9308, + t9191, + t7591, + t9762, + t8575, + t9378, + t8426, + t9761, + t9013, + t9760, + t7009, + t8508, + t9347, + t8808, + t9759, + t8409, + t9327, + t9177, + t7204, + t9758, + t9033, + t9757, + t8942, + t9756, + t8807, + t6868, + t8440, + t9755, + t9754, + t8617, + t9412, + t8488, + t9229, + t9753, + t8551, + t8427, + t7019, + t9752, + t8421, + t9269, + t9074, + t6863, + t9751, + t8611, + t9407, + t8477, + t9750, + t8445, + t7102, + t9749, + t8436, + t9018, + t9748, + t8389, + t7063, + t9747, + t8506, + t9746, + t8832, + t7794, + t8505, + t9745, + t8557, + t9415, + t9744, + t8530, + t9047, + t6960, + t9743, + t9742, + t8511, + t9330, + t9466, + t8447, + t9448, + t9151, + t7117, + t9741, + t8802, + t9457, + t9139, + t7738, + t9740, + t8507, + t7648, + t8474, + t9739, + t9271, + t8012, + t9389, + t9738, + t9428, + t9737, + t8039, + t9148, + t9736, + t7278, + t9735, + t9399, + t9080, + t7822, + t9734, + t9733, + t8921, + t7706, + t9732, + t8572, + t9731, + t9301, + t9730, + t8916, + t9411, + t9128, + t7272, + t9729, + t9011, + t9370, + t9728, + t8431, + t8402, + t9727, + t8094, + t8792, + t9726, + t8579, + t9402, + t8877, + t9725, + t7768, + t8438, + t9724, + t8537, + t9238, + t8309, + t9723, + t6856, + t9722, + t9234, + t8917, + t9147, + t6959, + t9721, + t8834, + t9261, + t9227, + t6987, + t9720, + t9337, + t9206, + t9719, + t9452, + t9193, + t7614, + t9718, + t7818, + t9717, + t8800, + t8847, + t7011, + t9716, + t7172, + t9329, + t9153, + t7178, + t9715, + t8598, + t8311, + t9714, + t9256, + t9713, + t9189, + t7345, + t9712, + t9210, + t7991, + t9165, + t9711, + t7091, + t8904, + t9710, + t7776, + t8891, + t9709, + t7137, + t8510, + t9708, + t9008, + t9707, + t9211, + t7400, + t9706, + t8414, + t6865, + t9705, + t9394, + t9704, + t9172, + t7281, + t9703, + t6824, + t9702, + t8500, + t8836, + t6953, + t9701, + t8497, + t8851, + t9464, + t6966, + t9700, + t8480, + t7221, + t9699, + t7180, + t9267, + t8868, + t9698, + t9290, + t9697, + t9426, + t9696, + t9288, + t8870, + t7107, + t9695, + t9694, + t8987, + t9693, + t7464, + t9058, + t9692, + t9218, + t7184, + t9691, + t7248, + t9690, + t9326, + t8824, + t7394, + t7442, + t9689, + t7580, + t8547, + t9688, + t9220, + t9295, + t9687, + t9371, + t9686, + t9685, + t7579, + t9684, + t9322, + t7360, + t9683, + t9682, + t9312, + t9156, + t9681, + t7094, + t9680, + t8495, + t7340, + t9679, + t9409, + t7179, + t9678, + t8900, + t9677, + t6876, + t9676, + t9675, + t8456, + t7369, + t8452, + t9674, + t9460, + t9194, + t7814, + t9170, + t9673, + t9672, + t9368, + t9671, + t8910, + t9670, + t8478, + t8953, + t9669, + t9169, + t9668, + t7598, + t9667, + t8838, + t9666, + t9019, + t7688, + t8947, + t9665, + t9275, + t9664, + t9332, + t8894, + t6956, + t9663, + t8885, + t9662, + t9661, + t7285, + t7282, + t9660, + t8140, + t9659, + t7460, + t9658, + t9657, + t9300, + t9040, + t6883, + t8476, + t9656, + t8931, + t9243, + t6978, + t9655, + t9166, + t7113, + t9654, + t7773, + t9653, + t9652, + t7962, + t9651, + t8482, + t7556, + t8485, + t8821, + t9650, + t8634, + t8462, + t9649, + t8552, + t6980, + t9648, + t8549, + t8531, + t9231, + t9647, + t7144, + t9646, + t9645, + t9240, + t9216, + t9644, + t9391, + t9643, + t8974, + t9001, + t6833, + t9642, + t9641, + t9640, + t7495, + t9639, + t7506, + t9278, + t8281, + t9638, + t9190, + t9637, + t9636, + t9293, + t8930, + t9635, + t9413, + t9634, + t9376, + t9217, + t7687, + t9633, + t8795, + t9632, + t9003, + t9631, + t8839, + t7559, + t9630, + t7592, + t8812, + t9629, + t7517, + t9628, + t9627, + t8473, + t7594, + t9626, + t9028, + t7291, + t9625, + t9328, + t9624, + t9197, + t9155, + t7128, + t9623, + t9182, + t8130, + t9382, + t8614, + t9622, + t8922, + t9621, + t8580, + t7719, + t8523, + t9108, + t9620, + t8397, + t9619, + t8400, + t8450, + t8526, + t7377, + t9618, + t8405, + t8545, + t8475, + t9617, + t8831, + t9379, + t8822, + t9616, + t8117, + t8596, + t8935, + t9615, + t8893, + t7155, + t9291, + t8948, + t9129, + t9614, + t8581, + t8069, + t8592, + t9374, + t8884, + t7111, + t9613, + t9162, + t9612, + t8864, + t7130, + t8983, + t9611, + t7979, + t8398, + t9610, + t7624, + t9609, + t9188, + t8816, + 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t8648, + t8647, + t8646, + t8645, + t8644, + t8630, + t8629, + t8627, + t8625, + t8623, + t8621, + t8616, + t8613, + t8571, + t8568, + t8553, + t8544, + t8543, + t8541, + t8515, + t8504, + t8498, + t8491, + t8481, + t8479, + t8460, + t8448, + t8429, + t8428, + t8425, + t8408, + t8404, + t8399, + t8393, + t8392, + t8388, + t8213, + t8209, + t8207, + t8204, + t8200, + t8197, + t8196, + t8193, + t8191, + t8187, + t8183, + t8181, + t8176, + t8173, + t8171, + t8170, + t8169, + t8166, + t8162, + t8160, + t8158, + t8157, + t8152, + t8147, + t8146, + t8145, + t8143, + t8136, + t8135, + t8129, + t8125, + t8116, + t8114, + t8111, + t8107, + t8104, + t8100, + t8098, + t8097, + t8092, + t8083, + t8081, + t8072, + t8064, + t8060, + t8054, + t8053, + t8051, + t8050, + t8048, + t8046, + t8042, + t8034, + t8024, + t8023, + t8020, + t8017, + t8013, + t8011, + t8007, + t8002, + t7994, + t7990, + t7986, + t7983, + t7981, + t7980, + t7977, + t7970, + t7966, + t7964, + t7960, + t7954, + t7952, + t7950, + t7948, + t7946, + t7944, + t7943, + t7942, + t7938, + t7935, + t7931, + t7930, + t7927, + t7923, + t7919, + t7918, + t7917, + t7916, + t7914, + t7907, + t7901, + t7900, + t7895, + t7893, + t7892, + t7889, + t7882, + t7880, + t7878, + t7870, + t7869, + t7868, + t7866, + t7858, + t7853, + t7851, + t7840, + t7838, + t7827, + t7826, + t7823, + t7821, + t7815, + t7813, + t7811, + t7807, + t7803, + t7802, + t7795, + t7793, + t7791, + t7785, + t7784, + t7783, + t7777, + t7774, + t7765, + t7760, + t7759, + t7757, + t7756, + t7754, + t7746, + t7742, + t7739, + t7734, + t7731, + t7726, + t7725, + t7724, + t7714, + t7708, + t7707, + t7699, + t7698, + t7689, + t7684, + t7681, + t7678, + t7672, + t7671, + t7667, + t7665, + t7664, + t7660, + t7644, + t7641, + t7640, + t7628, + t7623, + t7622, + t7620, + t7616, + t7613, + t7607, + t7602, + t7597, + t7590, + t7587, + t7586, + t7581, + t7577, + t7571, + t7563, + t7552, + t7551, + t7546, + t7545, + t7544, + t7543, + t7541, + t7536, + t7532, + t7527, + t7524, + t7520, + t7515, + t7507, + t7501, + t7497, + t7481, + t7480, + t7473, + t7471, + t7470, + t7461, + t7459, + t7455, + t7451, + t7447, + t7440, + t7428, + t7422, + t7421, + t7417, + t7408, + t7403, + t7401, + t7392, + t7376, + t7373, + t7367, + t7359, + t7358, + t7346, + t7344, + t7343, + t7339, + t7332, + t7331, + t7325, + t7306, + t7290, + t7288, + t7277, + t7276, + t7273, + t7269, + t7267, + t7266, + t7256, + t7249, + t7235, + t7229, + t7195, + t7194, + t7183, + t7181, + t7175, + t7162, + t7157, + t7156, + t7150, + t7149, + t7147, + t7146, + t7145, + t7141, + t7139, + t7135, + t7125, + t7096, + t7085, + t7082, + t7081, + t7068, + t7066, + t7065, + t7064, + t7060, + t7058, + t7054, + t7049, + t7007, + t7001, + t6996, + t6995, + t6991, + t6981, + t6979, + t6969, + t6967, + t6963, + t6962, + t6955, + t6950, + t6949, + t6933, + t6928, + t6927, + t6908, + t6906, + t6904, + t6892, + t6880, + t6864, + t6861, + t6852, + t6849, + t6836, + t6831; + t8637 = x*x; + t8636 = y*y; + t9316 = t8637*t8636; + t8640 = z*z; + t8639 = z*t8640; + t9447 = t8639+z; + t9836 = t9316*t9447; + t8638 = t8637*x; + t9453 = x+t8638; + t9835 = t9453*t8640; + t9834 = t8637*t9447; + t8525 = RATIONAL(1.0,144.0); + t9051 = t9453*t8525; + t8635 = t8636*y; + t9450 = t8635+y; + t8451 = RATIONAL(-7.0,144.0); + t9410 = t8451*t8638; + t9418 = t8636*t8638; + t8444 = RATIONAL(49.0,432.0); + t9004 = t8444*t9418; + t9833 = t9410+t9004; + t8601 = RATIONAL(-7.0,27.0); + t9277 = t8601*t8636; + t8825 = t8638*t9277; + t8631 = RATIONAL(1.0,9.0); + t9333 = t8631*t8638; + t9832 = t8825+t9333; + t9323 = t8636*t8640; + t9171 = x*t9323; + t9244 = t8640*t8638; + t9021 = t8636*t9244; + t9831 = t9171+t9021; + t9414 = t8637*t8640; + t9192 = y*t9414; + t9285 = t8635*t8637; + t9002 = t8640*t9285; + t9830 = t9002+t9192; + t8528 = RATIONAL(-1.0,144.0); + t9345 = t8528*t8639; + t8496 = RATIONAL(7.0,432.0); + t9237 = t8639*t8637; + t9829 = t8496*t9237+t9345; + t9297 = t8635*t8631; + t9395 = t8635*t8640; + t8965 = t8601*t9395; + t9828 = t8965+t9297; + t9284 = t8525*t8638; + t8469 = RATIONAL(-7.0,432.0); + t9299 = t8469*t8636; + t8798 = t8638*t9299; + t9827 = t8798+t9284; + t9826 = t9284+t8469*t9244; + t8590 = RATIONAL(1.0,48.0); + t8396 = RATIONAL(-49.0,1728.0); + t9247 = t8639*t8396; + t8805 = t8638*t9247; + t6837 = t8635*t8805; + t9111 = t8640*t9316; + t9822 = t8590*t9111+t6837; + t8467 = RATIONAL(5.0,576.0); + t9339 = t8467*t8640; + t8810 = t8635*t9339; + t8517 = RATIONAL(-1.0,216.0); + t9436 = t8517*z; + t9185 = t8638*t9436; + t7384 = t8635*t9185; + t9821 = t7384+t8638*t8810; + t9366 = t8636*t8639; + t9014 = t8444*t9366; + t9417 = t8451*t8639; + t9820 = (t9014+t9417)*x; + t9819 = t9828*x; + t9425 = t8639*t8638; + t9195 = y*t9425; + t8518 = RATIONAL(-7.0,216.0); + t7379 = t8518*t9195; + t8574 = RATIONAL(1.0,36.0); + t9183 = y*t9244; + t9818 = t8574*t9183+t7379; + t8540 = RATIONAL(7.0,27.0); + t9045 = t8540*t9285; + t8605 = RATIONAL(-1.0,9.0); + t9254 = t8605*t8639; + t9817 = t8639*t9045+t8635*t9254; + t8584 = RATIONAL(-7.0,36.0); + t9266 = t8584*t8636; + t9816 = (t9266+t8825)*t8640; + t8535 = RATIONAL(-1.0,18.0); + t9343 = t8535*t8635; + t8600 = RATIONAL(7.0,54.0); + t8956 = t8600*t9285; + t9815 = (t8956+t9343)*z; + t8559 = RATIONAL(-2.0,27.0); + t9459 = x*t8635; + t9144 = t8559*t9459; + t7871 = z*t9144; + t8594 = RATIONAL(5.0,54.0); + t9433 = z*t8636; + t9149 = t8594*t9433; + t9814 = t7871+x*t9149; + t9302 = t8635*t8638; + t8986 = t8540*t9244; + t9813 = t8635*t8986+t8605*t9302; + t8972 = t8496*t9323; + t7309 = t8638*t8972; + t8512 = RATIONAL(-1.0,108.0); + t9235 = t8512*t8635; + t8991 = t8639*t9235; + t7589 = t8637*t8991; + t9812 = t7309+t7589; + t7833 = t8639*t9144; + t8569 = RATIONAL(5.0,36.0); + t8914 = t8569*t9285; + t9811 = t8639*t8914+t7833; + t9456 = t8639*x; + t8521 = RATIONAL(7.0,216.0); + t9178 = t8521*t9456; + t7555 = t8635*t9178; + t8522 = RATIONAL(-7.0,108.0); + t9167 = x*t9366; + t9810 = t7555+t8522*t9167; + t8542 = RATIONAL(1.0,18.0); + t9397 = t8542*t8638; + t8292 = y*t9397; + t8465 = RATIONAL(1.0,108.0); + t9311 = t8465*t8638; + t9173 = y*t9311; + t7182 = z*t9173; + t9809 = t7182+t8640*t8292; + t9808 = t9829*y; + t8554 = RATIONAL(14.0,9.0); + t8612 = RATIONAL(7.0,6.0); + t9255 = t8612*t8640; + t9807 = t8636*t9255+t8554*t9021; + t8433 = RATIONAL(35.0,576.0); + t9027 = t8433*t9395; + t9443 = z*t8518; + t9201 = t8635*t9443; + t7512 = t8638*t9201; + t9806 = t8638*t9027+t7512; + t9805 = t9832*t8639; + t8391 = RATIONAL(49.0,1728.0); + t8889 = t8639*t9302; + t6828 = t8391*t8889; + t9804 = RATIONAL(-25.0,96.0)*t9111+t6828; + t9023 = t8638*t9366; + t8472 = RATIONAL(49.0,27.0); + t8610 = RATIONAL(-7.0,9.0); + t9398 = t8639*t8610; + t9803 = t8638*t9398+t8472*t9023; + t8419 = RATIONAL(-1.0,1728.0); + t9249 = t8639*t8419; + t8820 = t8635*t9249; + t6965 = x*t8820; + t8494 = RATIONAL(1.0,864.0); + t9802 = t8494*t9167+t6965; + t9393 = t8535*t8638; + t8961 = t8600*t9244; + t9801 = (t8961+t9393)*y; + t9444 = y*t8640; + t9430 = x*t9444; + t7531 = y*t9178; + t8539 = RATIONAL(-1.0,36.0); + t9800 = t7531+t8539*t9430; + t8493 = RATIONAL(-16.0,27.0); + t9365 = y*t9456; + t7493 = t8493*t9365; + t8489 = RATIONAL(20.0,27.0); + t9799 = t7493+t8489*t9430; + t7211 = t8465*t8889; + t9798 = t7211+t8522*t9111; + t8503 = RATIONAL(7.0,288.0); + t9346 = t8636*t8503; + t9071 = t8639*t9346; + t8420 = RATIONAL(7.0,1728.0); + t9384 = t8420*t8639; + t9130 = y*t9384; + t7037 = x*t9130; + t9797 = x*t9071+t7037; + t8527 = RATIONAL(7.0,144.0); + t9259 = t8527*t8639; + t8439 = RATIONAL(-49.0,432.0); + t9248 = t8635*t8439; + t9094 = t8637*t9248; + t9796 = t8635*t9259+t8639*t9094; + t8604 = RATIONAL(-5.0,27.0); + t8865 = t8604*t9418; + t8032 = t8559*t9195; + t9795 = t8032+t8639*t8865; + t8899 = t8640*t9299; + t9794 = t8637*t8899+t7211; + t8595 = RATIONAL(-4.0,27.0); + t7834 = t8595*t9195; + t8583 = RATIONAL(5.0,27.0); + t8852 = t8583*t9237; + t9793 = y*t8852+t7834; + t8422 = RATIONAL(35.0,108.0); + t9303 = t8636*t8422; + t9097 = t8637*t9303; + t9289 = t8595*t8638; + t8981 = t8635*t9289; + t9792 = t8640*t8981+t8639*t9097; + t8412 = RATIONAL(-7.0,1728.0); + t9420 = t8412*t8638; + t9223 = z*t9420; + t7093 = y*t9223; + t9449 = z*t8637; + t9200 = t8467*t9449; + t9791 = y*t9200+t7093; + t8519 = RATIONAL(7.0,108.0); + t9350 = t8635*t8519; + t8794 = t8640*t9350; + t7414 = t8638*t8794; + t8577 = RATIONAL(-7.0,72.0); + t9252 = t8577*t8637; + t8908 = t8636*t9252; + t9790 = t7414+t8639*t8908; + t8866 = t8512*t9244; + t7297 = y*t8866; + t8509 = RATIONAL(1.0,216.0); + t7300 = t8509*t9195; + t9789 = t7297+t7300; + t8454 = RATIONAL(35.0,54.0); + t9208 = x*t9395; + t9168 = t8540*t9459; + t7771 = z*t9168; + t9788 = t8454*t9208+t7771; + t7429 = x*t9201; + t9134 = z*t9350; + t9787 = t7429+t8637*t9134; + t8406 = RATIONAL(245.0,576.0); + t8441 = RATIONAL(-49.0,216.0); + t9205 = z*t9302; + t7004 = t8441*t9205; + t9042 = t8635*t9244; + t9786 = t7004+t8406*t9042; + t8443 = RATIONAL(49.0,216.0); + t7080 = t8443*t9195; + t9204 = y*t9237; + t9785 = t7080+t8584*t9204; + t8859 = t8439*t9244; + t9784 = t8635*t8859+t8527*t9302; + t8869 = t8518*t9316; + t8903 = t8465*t9302; + t7424 = t8640*t8903; + t9783 = t8639*t8869+t7424; + t9344 = t8420*t8635; + t9160 = x*t9344; + t6968 = z*t9160; + t9782 = t6968+t8503*t9208; + t8417 = RATIONAL(25.0,192.0); + t9781 = t8417*t9111+t6837; + t9224 = z*t9285; + t8470 = RATIONAL(-32.0,27.0); + t7683 = t8470*t9205; + t8487 = RATIONAL(40.0,27.0); + t9780 = t7683+t8487*t9224; + t9403 = t8639*t8525; + t8867 = t8639*t9299; + t9779 = (t8867+t9403)*x; + t9451 = x*t8640; + t9146 = t8574*t9451; + t9137 = t8518*t9456; + t7603 = y*t9137; + t9778 = t7603+y*t9146; + t9377 = t8528*t8635; + t9777 = x*t9377+t8496*t9208; + t8585 = RATIONAL(2.0,27.0); + t9446 = z*t8585; + t9174 = t8635*t9446; + t7775 = x*t9174; + t8588 = RATIONAL(-5.0,54.0); + t9186 = t8588*t9433; + t9776 = x*t9186+t7775; + t8603 = RATIONAL(4.0,27.0); + t9005 = t8603*t9425; + t8006 = y*t9005; + t9775 = t8006+t8604*t9183; + t9245 = t8636*t8600; + t9017 = t8638*t9245; + t9774 = (t9017+t9393)*z; + t9181 = t8559*t9444; + t8587 = RATIONAL(1.0,27.0); + t7854 = t8587*t9365; + t9773 = x*t9181+t7854; + t8464 = RATIONAL(-14.0,27.0); + t7233 = t8464*t9195; + t9772 = t7233+t8454*t9183; + t9104 = t8635*t9237; + t9771 = t8472*t9104+t8635*t9398; + t8957 = t8494*t9237; + t9263 = t8419*t8638; + t8853 = t8635*t9263; + t9770 = t8636*t8957+t8640*t8853; + t8430 = RATIONAL(35.0,144.0); + t8962 = t8430*t9316; + t8949 = t8522*t9244; + t7472 = t8635*t8949; + t9769 = t8639*t8962+t7472; + t9199 = t8512*t9449; + t7650 = t8635*t9199; + t9458 = z*t8635; + t9164 = t8509*t9458; + t7496 = t8638*t9164; + t9768 = t7650+t7496; + t9767 = t9828*t8638; + t8463 = RATIONAL(-5.0,432.0); + t8799 = t8463*t9323; + t9257 = t8637*t8465; + t8897 = t8635*t9257; + t7165 = t8639*t8897; + t9766 = t8638*t8799+t7165; + t8846 = t8604*t9285; + t9388 = t8635*t8603; + t9198 = z*t9388; + t7809 = t8638*t9198; + t9765 = z*t8846+t7809; + t8453 = RATIONAL(-28.0,27.0); + t7323 = t8453*t8889; + t9764 = t7323+RATIONAL(125.0,36.0)*t9111; + t9258 = t8587*t8638; + t9465 = y*z; + t7936 = t9258*t9465; + t9461 = y*t8637; + t9180 = t8559*t9461; + t9763 = z*t9180+t7936; + t8971 = t8535*t9244; + t9308 = t8512*t8638; + t9191 = z*t9308; + t7591 = t8635*t9191; + t9762 = t8635*t8971+t7591; + t8575 = RATIONAL(16.0,9.0); + t9378 = t8639*t8575; + t8426 = RATIONAL(-112.0,27.0); + t9761 = t8638*t9378+t8426*t9023; + t9013 = t8518*t9244; + t9760 = t7165+t8636*t9013; + t7009 = t8420*t9023; + t8508 = RATIONAL(-5.0,576.0); + t9347 = t8508*t8640; + t8808 = t8637*t9347; + t9759 = t8635*t8808+t7009; + t8409 = RATIONAL(35.0,432.0); + t9327 = t8639*t8522; + t9177 = y*t9327; + t7204 = t8638*t9177; + t9758 = t7204+t8409*t9204; + t9033 = t8444*t9395; + t9757 = t8638*t9033+t8451*t9302; + t8942 = t8463*t9316; + t9756 = t7424+t8639*t8942; + t8807 = t8635*t9247; + t6868 = x*t8807; + t8440 = RATIONAL(-49.0,288.0); + t9755 = t6868+t8440*t9104; + t9754 = t9833*t8639; + t8617 = RATIONAL(8.0,9.0); + t9412 = t8617*t8638; + t8488 = RATIONAL(-56.0,27.0); + t9229 = z*t9418; + t9753 = z*t9412+t8488*t9229; + t8551 = RATIONAL(-7.0,12.0); + t8427 = RATIONAL(49.0,108.0); + t7019 = t8427*t8889; + t9752 = t7019+t8551*t9111; + t8421 = RATIONAL(-35.0,576.0); + t9269 = t8635*t8421; + t9074 = t8637*t9269; + t6863 = t8391*t9205; + t9751 = z*t9074+t6863; + t8611 = RATIONAL(-8.0,9.0); + t9407 = t8639*t8611; + t8477 = RATIONAL(56.0,27.0); + t9750 = x*t9407+t8477*t9167; + t8445 = RATIONAL(-49.0,108.0); + t7102 = t8445*t8889; + t9749 = t7102+RATIONAL(125.0,48.0)*t9111; + t8436 = RATIONAL(-35.0,432.0); + t9018 = t8436*t9395; + t9748 = t8638*t9018+t7512; + t8389 = RATIONAL(245.0,432.0); + t7063 = t8443*t9205; + t9747 = t8389*t9042+t7063; + t8506 = RATIONAL(-5.0,216.0); + t9746 = t9830*t8506; + t8832 = t8639*t9388; + t7794 = t8638*t8832; + t8505 = RATIONAL(-49.0,54.0); + t9745 = t7794+t8505*t9111; + t8557 = RATIONAL(7.0,18.0); + t9415 = t8635*t8557; + t9744 = t8505*t9224+z*t9415; + t8530 = RATIONAL(1.0,288.0); + t9047 = t8412*t9285; + t6960 = t8639*t9047; + t9743 = t8530*t9021+t6960; + t9742 = t9826*t8635; + t8511 = RATIONAL(-1.0,864.0); + t9330 = t8511*t8636; + t9466 = x*z; + t8447 = RATIONAL(1.0,1728.0); + t9448 = x*t8447; + t9151 = t8635*t9448; + t7117 = z*t9151; + t9741 = t7117+t9330*t9466; + t8802 = t8569*t9244; + t9457 = z*t8638; + t9139 = t8559*t9457; + t7738 = t8635*t9139; + t9740 = t8635*t8802+t7738; + t8507 = RATIONAL(14.0,27.0); + t7648 = t8507*t9195; + t8474 = RATIONAL(-35.0,54.0); + t9739 = t7648+t8474*t9204; + t9271 = t8587*t8635; + t8012 = t9271*t9466; + t9389 = x*t9433; + t9738 = t8012+t8559*t9389; + t9428 = t8638*t8611; + t9737 = t8477*t9229+z*t9428; + t8039 = y*t9139; + t9148 = t8594*t9461; + t9736 = t8039+z*t9148; + t7278 = x*t9164; + t9735 = t8512*t9389+t7278; + t9399 = t8639*t8635; + t9080 = t8595*t9399; + t7822 = x*t9080; + t9734 = t8583*t9167+t7822; + t9733 = x*t9343+t8600*t9208; + t8921 = t8635*t9327; + t7706 = t8637*t8921; + t9732 = t7706+t8430*t9021; + t8572 = RATIONAL(1.0,54.0); + t9731 = t8572*t9042+t7591; + t9301 = t8639*t8535; + t9730 = x*t9301+t8600*t9167; + t8916 = t8636*t9301; + t9411 = t8512*t8639; + t9128 = y*t9411; + t7272 = t8638*t9128; + t9729 = t8638*t8916+t7272; + t9011 = t8601*t9237; + t9370 = t8639*t8631; + t9728 = (t9370+t9011)*y; + t8431 = RATIONAL(49.0,144.0); + t8402 = RATIONAL(-343.0,432.0); + t9727 = t8431*t9399+t8402*t9104; + t8094 = t8638*t9174; + t8792 = t8583*t9244; + t9726 = t8635*t8792+t8094; + t8579 = RATIONAL(-7.0,54.0); + t9402 = t8579*t8636; + t8877 = t8638*t9402; + t9725 = (t8877+t9397)*z; + t7768 = t8595*t8889; + t8438 = RATIONAL(25.0,108.0); + t9724 = t7768+t8438*t9111; + t8537 = RATIONAL(5.0,48.0); + t9238 = t8637*t8537; + t8309 = t8636*t9238; + t9723 = t6837+t8640*t8309; + t6856 = y*t8805; + t9722 = t6856+t8440*t9023; + t9234 = t8636*t8494; + t8917 = t8638*t9234; + t9147 = y*t9263; + t6959 = z*t9147; + t9721 = t6959+z*t8917; + t8834 = t8638*t9346; + t9261 = t8420*t8638; + t9227 = z*t9261; + t6987 = y*t9227; + t9720 = t6987+z*t8834; + t9337 = t8635*t8525; + t9206 = t8469*t9451; + t9719 = t8635*t9206+x*t9337; + t9452 = y*t8638; + t9193 = t8521*t9452; + t7614 = z*t9193; + t9718 = t7614+t8421*t9183; + t7818 = t8559*t9365; + t9717 = t7818+t8594*t9430; + t8800 = t8508*t9316; + t8847 = t8635*t9261; + t7011 = t8640*t8847; + t9716 = t8639*t8800+t7011; + t7172 = t8517*t9195; + t9329 = t8465*t8639; + t9153 = y*t9329; + t7178 = t8637*t9153; + t9715 = t7172+t7178; + t8598 = RATIONAL(-1.0,24.0); + t8311 = t8598*t9316; + t9714 = t6828+t8640*t8311; + t9256 = t8639*t8617; + t9713 = y*t9256+t8488*t9204; + t9189 = x*t9399; + t7345 = t8507*t9189; + t9712 = t8474*t9167+t7345; + t9210 = t8638*t9446; + t7991 = y*t9210; + t9165 = t8588*t9461; + t9711 = z*t9165+t7991; + t7091 = t8447*t9205; + t8904 = t8511*t9285; + t9710 = z*t8904+t7091; + t7776 = z*t8981; + t8891 = t8583*t9418; + t9709 = t7776+z*t8891; + t7137 = x*t9128; + t8510 = RATIONAL(5.0,432.0); + t9708 = t7137+t8510*t9430; + t9008 = t8572*t9366; + t9707 = t7272+t8638*t9008; + t9211 = t8638*t9443; + t7400 = y*t9211; + t9706 = t7400+t8519*t9229; + t8414 = RATIONAL(-49.0,864.0); + t6865 = t8391*t9195; + t9705 = t8414*t9023+t6865; + t9394 = t8639*t8542; + t9704 = t8579*t9167+x*t9394; + t9172 = t8512*t9451; + t7281 = t8509*t9365; + t9703 = t7281+y*t9172; + t6824 = RATIONAL(-343.0,1728.0)*t8889; + t9702 = t8406*t9023+t6824; + t8500 = RATIONAL(-7.0,864.0); + t8836 = t8500*t9418; + t6953 = t8638*t9130; + t9701 = t8639*t8836+t6953; + t8497 = RATIONAL(-1.0,288.0); + t8851 = t8497*t9237; + t9464 = x*y; + t6966 = t9249*t9464; + t9700 = y*t8851+t6966; + t8480 = RATIONAL(-25.0,24.0); + t7221 = t8480*t9111; + t9699 = t7221+t7019; + t7180 = x*t8991; + t9267 = t8535*t8637; + t8868 = t8635*t9267; + t9698 = t8639*t8868+t7180; + t9290 = t8638*t8431; + t9697 = t8639*t9290+t8402*t9023; + t9426 = t8605*t8635; + t9696 = t8640*t9168+x*t9426; + t9288 = t8639*t8447; + t8870 = t8635*t9288; + t7107 = x*t8870; + t9695 = t8511*t9208+t7107; + t9694 = (t9426+t9045)*z; + t8987 = t8640*t9303; + t9693 = t8638*t8987+t8637*t9080; + t7464 = x*t8921; + t9058 = t8409*t9366; + t9692 = t7464+x*t9058; + t9218 = t8510*t9433; + t7184 = t9235*t9466; + t9691 = t7184+x*t9218; + t7248 = t8465*t9189; + t9690 = t8463*t9167+t7248; + t9326 = t8639*t8519; + t8824 = t8638*t9326; + t7394 = t8635*t8824; + t7442 = RATIONAL(-25.0,72.0)*t9111; + t9689 = t7394+t7442; + t7580 = t8470*t9189; + t8547 = RATIONAL(20.0,9.0); + t9688 = t7580+t8547*t9104; + t9220 = t8496*t9433; + t9295 = t8528*t8638; + t9687 = t8638*t9220+z*t9295; + t9371 = t8635*t8611; + t9686 = t8477*t9208+x*t9371; + t9685 = t8439*t9023+t8638*t9259; + t7579 = t8639*t9193; + t9684 = t8637*t9177+t7579; + t9322 = z*t9452; + t7360 = t8509*t9322; + t9683 = y*t9199+t7360; + t9682 = y*t9428+t8477*t9183; + t9312 = t8469*t8637; + t9156 = z*t9312; + t9681 = y*t9156+t8525*t9465; + t7094 = z*t8853; + t9680 = t8497*t9042+t7094; + t8495 = RATIONAL(80.0,27.0); + t7340 = RATIONAL(-64.0,27.0)*t8889; + t9679 = t7340+t8495*t9042; + t9409 = x*t9458; + t7179 = t8493*t9409; + t9678 = t8489*t9389+t7179; + t8900 = t8636*t9289; + t9677 = t8422*t9002+t8639*t8900; + t6876 = t8443*t9189; + t9676 = t8584*t9208+t6876; + t9675 = t7738+t8604*t9042; + t8456 = RATIONAL(32.0,27.0); + t7369 = t8456*t9189; + t8452 = RATIONAL(-40.0,27.0); + t9674 = t7369+t8452*t9167; + t9460 = t8639*y; + t9194 = t8585*t9460; + t7814 = x*t9194; + t9170 = t8588*t9444; + t9673 = x*t9170+t7814; + t9672 = t8402*t9042+t8635*t9290; + t9368 = t8635*t8542; + t9671 = z*t9368+t8579*t9224; + t8910 = t8469*t9237; + t9670 = (t8910+t9403)*y; + t8478 = RATIONAL(5.0,216.0); + t8953 = t8478*t9323; + t9669 = t8638*t8953+t7589; + t9169 = t8496*t9444; + t9668 = y*t9295+t8638*t9169; + t7598 = t8456*t9195; + t9667 = t8452*t9183+t7598; + t8838 = t8579*t9237; + t9666 = (t8838+t9394)*y; + t9019 = t8522*t9418; + t7688 = t8639*t9019; + t8947 = t8430*t9414; + t9665 = t7688+t8635*t8947; + t9275 = t8635*t8617; + t9664 = t8488*t9208+x*t9275; + t9332 = t8508*t8636; + t8894 = t8638*t9332; + t6956 = z*t8847; + t9663 = z*t8894+t6956; + t8885 = t8640*t9234; + t9662 = t8638*t8885+t8637*t8820; + t9661 = t9827*t8639; + t7285 = t8509*t9189; + t7282 = t8635*t9172; + t9660 = t7285+t7282; + t8140 = x*t8832; + t9659 = t8604*t9167+t8140; + t7460 = t8512*t9023; + t9658 = t7460+t8478*t9002; + t9657 = t8639*t9337+t8635*t8910; + t9300 = t8412*t8635; + t9040 = t8638*t9300; + t6883 = z*t9040; + t8476 = RATIONAL(7.0,864.0); + t9656 = t8476*t9229+t6883; + t8931 = t8476*t9366; + t9243 = t8412*t8639; + t6978 = t9243*t9464; + t9655 = x*t8931+t6978; + t9166 = x*t9288; + t7113 = y*t9166; + t9654 = t8511*t9430+t7113; + t7773 = t8585*t9189; + t9653 = t8588*t9167+t7773; + t9652 = t8639*t9297+t8635*t9011; + t7962 = t8638*t9194; + t9651 = t8639*t9165+t7962; + t8482 = RATIONAL(28.0,27.0); + t7556 = t8482*t8889; + t8485 = RATIONAL(-25.0,18.0); + t8821 = t8485*t9414; + t9650 = t7556+t8636*t8821; + t8634 = RATIONAL(7.0,9.0); + t8462 = RATIONAL(-49.0,27.0); + t9649 = t8634*t9425+t8462*t9023; + t8552 = RATIONAL(7.0,36.0); + t6980 = t8441*t9189; + t9648 = t8552*t9208+t6980; + t8549 = RATIONAL(-35.0,9.0); + t8531 = RATIONAL(-35.0,12.0); + t9231 = t8531*t8637; + t9647 = t8549*t9002+t8640*t9231; + t7144 = t8456*t9205; + t9646 = t7144+t8452*t9224; + t9645 = t8426*t9042+t8575*t9302; + t9240 = t8496*t8637; + t9216 = z*t9240; + t9644 = t8635*t9216+z*t9377; + t9391 = t8451*t8635; + t9643 = (t9033+t9391)*x; + t8974 = t8421*t9366; + t9001 = t8391*t9399; + t6833 = x*t9001; + t9642 = x*t8974+t6833; + t9641 = t9832*z; + t9640 = t8579*t9183+t8292; + t7495 = t8496*t9002; + t9639 = t7495+t7460; + t7506 = t8522*t8889; + t9278 = t8569*t8636; + t8281 = t8637*t9278; + t9638 = t8640*t8281+t7506; + t9190 = t8600*t9461; + t9637 = y*t9301+t8639*t9190; + t9636 = t8639*t8834+t6953; + t9293 = t8579*t8640; + t8930 = t8635*t9293; + t9635 = (t9368+t8930)*x; + t9413 = t8557*t8638; + t9634 = t8505*t9229+z*t9413; + t9376 = t8637*t8510; + t9217 = z*t9376; + t7687 = y*t9191; + t9633 = y*t9217+t7687; + t8795 = t8638*t9278; + t9632 = t8639*t8795+t8032; + t9003 = t8496*t9366; + t9631 = (t9345+t9003)*x; + t8839 = t8636*t9329; + t7559 = t8638*t8839; + t9630 = t8518*t9002+t7559; + t7592 = t8636*t8824; + t8812 = t8640*t9252; + t9629 = t8635*t8812+t7592; + t7517 = t8470*t9195; + t9628 = t8487*t9204+t7517; + t9627 = t8462*t9104+t8634*t9399; + t8473 = RATIONAL(35.0,27.0); + t7594 = t8507*t9205; + t9626 = t8473*t9042+t7594; + t9028 = t8640*t9376; + t7291 = t8512*t8889; + t9625 = t7291+t8636*t9028; + t9328 = t8605*t8638; + t9624 = (t9328+t8986)*y; + t9197 = t8465*t9451; + t9155 = t8517*t9456; + t7128 = y*t9155; + t9623 = y*t9197+t7128; + t9182 = t8540*t9457; + t8130 = y*t9182; + t9382 = y*t9449; + t8614 = RATIONAL(-2.0,9.0); + t9622 = t8614*t9382+t8130; + t8922 = t8638*t9330; + t9621 = t8635*t8957+t8511*t9171+t8640*t8922; + t8580 = RATIONAL(-7.0,18.0); + t7719 = t8580*t9042; + t8523 = RATIONAL(49.0,72.0); + t9108 = t8636*t9237; + t9620 = z*t8908+t7719+t8523*t9108; + t8397 = RATIONAL(-245.0,108.0); + t9619 = t8617*t9104+x*t8987+t8397*t9021; + t8400 = RATIONAL(245.0,144.0); + t8450 = RATIONAL(35.0,18.0); + t8526 = RATIONAL(-35.0,36.0); + t7377 = t8526*t9104; + t9618 = t8450*t9171+t8400*t9021+t7377; + t8405 = RATIONAL(245.0,108.0); + t8545 = RATIONAL(-20.0,9.0); + t8475 = RATIONAL(70.0,27.0); + t9617 = t8545*t9104+t8405*t9021+t8475*t9171; + t8831 = t8572*t9285; + t9379 = t8463*t8636; + t8822 = t8638*t9379; + t9616 = t8512*t9192+t8640*t8831+t8639*t8822; + t8117 = t8639*t8877; + t8596 = RATIONAL(7.0,72.0); + t8935 = t8596*t9414; + t9615 = t8117+t9450*t8935; + t8893 = t8476*t9237; + t7155 = t8635*t8893; + t9291 = t8497*t8636; + t8948 = t8638*t9291; + t9129 = x*t9291; + t9614 = t7155+(t8948+t9129)*t8640; + t8581 = RATIONAL(5.0,72.0); + t8069 = t8581*t9192; + t8592 = RATIONAL(-5.0,36.0); + t9374 = t8592*t8640; + t8884 = t8637*t9374; + t7111 = t8409*t9023; + t9613 = t8069+t8635*t8884+t7111; + t9162 = y*t9257; + t9612 = t8639*t8894+t8476*t9002+t8640*t9162; + t8864 = t8476*t9244; + t7130 = t8635*t8864; + t8983 = t8637*t9291; + t9611 = t8636*t8851+z*t8983+t7130; + t7979 = t8557*t9042; + t8398 = RATIONAL(-245.0,144.0); + t9610 = t7979+z*t8962+t8398*t9108; + t7624 = t8526*t9023; + t9609 = t7624+t8450*t9192+t8400*t9002; + t9188 = t8465*t9433; + t8816 = t8635*t9347; + t9608 = t8637*t9188+t8638*t8816+t8636*t8893; + t7810 = t8639*t8891; + t9607 = t7810+(t8846+t9148)*t8640; + t9230 = z*t9316; + t9606 = t8545*t9042+t8475*t9230+t8405*t9108; + t9321 = t8592*t8636; + t8793 = t8638*t9321; + t8857 = t8409*t9285; + t6924 = t8639*t8857; + t9296 = t8581*t8640; + t9145 = x*t9296; + t8128 = t8636*t9145; + t9605 = t6924+t8640*t8793+t8128; + t8550 = RATIONAL(-1.0,54.0); + t9268 = t8635*t8550; + t8878 = t8640*t9268; + t7761 = t8638*t8878; + t9253 = t8636*t8521; + t9604 = t7761+t9253*t9834; + t9603 = t8475*t9192+t8405*t9002+t8545*t9023; + t8075 = t8635*t8838; + t9262 = t8636*t8596; + t9602 = t8075+t9262*t9835; + t8459 = RATIONAL(-35.0,27.0); + t7388 = t8459*t9023; + t8560 = RATIONAL(35.0,9.0); + t8502 = RATIONAL(-35.0,18.0); + t9601 = t7388+t8502*t9192+t8560*t9002; + t8033 = t8635*t8961; + t8446 = RATIONAL(-35.0,144.0); + t9600 = t8033+t8446*t9836; + t8019 = t8557*t9023; + t9599 = y*t8947+t8019+t8398*t9002; + t9598 = t8397*t9002+t8422*t9192+t8617*t9023; + t8536 = RATIONAL(8.0,27.0); + t8407 = RATIONAL(-35.0,108.0); + t9597 = t8536*t9042+(t9230+t9108)*t8407; + t8533 = RATIONAL(-7.0,288.0); + t8888 = t8533*t9366; + t7540 = t8638*t8888; + t9596 = t7540+y*t8808+t8433*t9002; + t9010 = t8500*t9237; + t7550 = t8635*t9010; + t8911 = t8467*t9244; + t8988 = t8467*t9323; + t9595 = t7550+x*t8988+t8636*t8911; + t7192 = t8459*t9104; + t9594 = t8560*t9021+t8502*t9171+t7192; + t9081 = t8639*t9321; + t6911 = t8409*t9042; + t9133 = t8581*t9449; + t7855 = t8636*t9133; + t9593 = t8637*t9081+t6911+t7855; + t8960 = t8433*t9366; + t6971 = t8638*t8960; + t8806 = t8640*t9269; + t8566 = RATIONAL(-5.0,72.0); + t9179 = t8566*t9461; + t8047 = t8640*t9179; + t9592 = t8637*t8806+t6971+t8047; + t7751 = t8639*t9017; + t9591 = t7751+t9450*t8446*t9414; + t7896 = t8557*t9104; + t9590 = t8430*t9171+t8398*t9021+t7896; + t8486 = RATIONAL(-35.0,96.0); + t8558 = RATIONAL(5.0,96.0); + t8803 = t8558*t9316; + t8411 = RATIONAL(49.0,288.0); + t9589 = z*t8803+t8411*t9042+t8486*t9108; + t8801 = t8542*t9366; + t7856 = t8638*t8801; + t8996 = t8640*t9248; + t9588 = t7856+(t9169+t8996)*t8637; + t8593 = RATIONAL(-1.0,72.0); + t8285 = t8593*t9316; + t9438 = t8419*x; + t9383 = y*t9438; + t6932 = z*t9383; + t6964 = t8639*t8847; + t9587 = t6932+t6964+t8640*t8285; + t8484 = RATIONAL(-49.0,72.0); + t8468 = RATIONAL(35.0,36.0); + t7502 = t8468*t9104; + t9586 = t8484*t9021+t8610*t9171+t7502; + t8951 = t8510*t9244; + t9082 = t8637*t9268; + t7828 = t8639*t9082; + t9585 = t8510*t9171+t8636*t8951+t7828; + t9225 = z*t9234; + t9584 = t8636*t9010+t8637*t9225+t8530*t9042; + t9031 = t8503*t9285; + t7466 = t8639*t9031; + t9583 = t8533*t9021+t7466+t8530*t9171; + t8514 = RATIONAL(-80.0,27.0); + t8520 = RATIONAL(-70.0,27.0); + t8435 = RATIONAL(140.0,27.0); + t9582 = t8520*t9192+t8514*t9023+t8435*t9002; + t8563 = RATIONAL(-14.0,9.0); + t7259 = t8473*t9023; + t9581 = t8634*t9192+t7259+t8563*t9002; + t9580 = t8617*t9042+z*t9097+t8397*t9108; + t9207 = t8574*t9449; + t7048 = t8638*t8806; + t9579 = t8637*t9071+t7048+t8636*t9207; + t7963 = t8638*t8930; + t9578 = t7963+t9262*t9834; + t9577 = t8520*t9230+t8514*t9042+t8435*t9108; + t7937 = t8580*t9023; + t9576 = y*t8812+t7937+t8523*t9002; + t9007 = t8433*t9418; + t8990 = t8533*t9285; + t7482 = t8639*t8990; + t9575 = t8508*t9171+t8640*t9007+t7482; + t7126 = t8638*t8931; + t9574 = t7126+t9830*t8497; + t8861 = t8421*t9418; + t7056 = t8639*t8861; + t9573 = t8503*t9002+t7056+t8574*t9192; + t7219 = t8468*t9042; + t9572 = t7219+t8484*t9108+t8610*t9230; + t7643 = t8459*t9042; + t9571 = t7643+t8560*t9108+t8502*t9230; + t7258 = t8473*t9104; + t9570 = t8563*t9021+t7258+t8634*t9171; + t8871 = t8533*t9395; + t7439 = t8638*t8871; + t9569 = z*t8800+t7439+t8637*t8960; + t7764 = t8550*t9023; + t8964 = t8521*t9395; + t9568 = t8637*t8964+t7764+t8521*t9192; + t9039 = t8500*t9244; + t7335 = t8635*t9039; + t9363 = t8636*t8467; + t9015 = t8639*t9363; + t9567 = t8636*t9200+t7335+t8637*t9015; + t8892 = t8508*t9237; + t9566 = t8635*t8892+t8465*t9171+t8636*t8864; + t8829 = t8503*t9244; + t7050 = t8639*t9074; + t9565 = t7050+(t8829+t9146)*t8636; + t8599 = RATIONAL(5.0,12.0); + t8909 = t8599*t9414; + t9434 = t8509*y; + t9357 = z*t9434; + t7236 = x*t9357; + t9564 = t7236+t7102+t8636*t8909; + t9127 = t8517*t9433; + t9298 = x*t9127+t7278; + t8830 = t8635*t9296; + t9563 = t9298+t7688+t8637*t8830; + t8946 = t8581*t9237; + t9338 = t7281+t8517*t9430; + t9562 = t8636*t8946+t9338+t7472; + t7434 = t8635*t8829; + t9260 = t8637*t8530; + t8843 = t8636*t9260; + t9561 = z*t8843+t7434+t8637*t8888; + t9048 = t8407*t9323; + t9560 = t8536*t9104+t8407*t9021+x*t9048; + t9340 = t8637*t8511; + t8890 = t8640*t9340; + t9559 = t8639*t8917+t9450*t8890; + t9307 = t8542*t8640; + t8933 = t8635*t9307; + t8057 = t8638*t8933; + t8826 = t8636*t9240; + t9032 = t8439*t9366; + t9558 = t8057+t8637*t9032+z*t8826; + t9052 = t8635*t9260; + t9557 = t8639*t9052+t8640*t8836+x*t8885; + t7781 = t8635*t8852; + t9556 = t8594*t9171+t7781+t8640*t8865; + t9555 = t8536*t9023+t9830*t8407; + t9554 = t7764+t8510*t9002+y*t9028; + t8461 = RATIONAL(-5.0,288.0); + t9553 = t7130+t8461*t9836; + t8926 = t8566*t9323; + t7888 = x*t8926; + t8999 = t8433*t9237; + t7000 = t8635*t8999; + t9552 = t7888+t8640*t8861+t7000; + t8932 = t8637*t9307; + t8818 = t8436*t9366; + t6877 = t8638*t8818; + t9551 = t6877+t8539*t9192+t8635*t8932; + t7212 = t8468*t9023; + t9550 = t8484*t9002+t7212+t8610*t9192; + t8608 = RATIONAL(5.0,9.0); + t8080 = z*t9179; + t8534 = RATIONAL(35.0,72.0); + t8886 = t8534*t9244; + t9549 = t8636*t8886+t8608*t9171+t8080+t7377; + t9548 = z*t8942+t8637*t9058+t9762; + t8401 = RATIONAL(175.0,144.0); + t8633 = RATIONAL(2.0,9.0); + t8442 = RATIONAL(-25.0,144.0); + t8944 = t8442*t9414; + t9547 = t8633*t9389+t7937+y*t8944+t8401*t9002; + t9546 = t8518*t9171+t8443*t9021+t9698; + t7121 = x*t9188; + t9545 = t7751+t7121+t8566*t9002+t8047; + t8410 = RATIONAL(-35.0,216.0); + t9141 = t8539*t9433; + t8079 = x*t9141; + t9544 = t8478*t9192+t7856+t8079+t8410*t9002; + t8532 = RATIONAL(10.0,27.0); + t9543 = t8532*t9002+t8604*t9192+t9814; + t9542 = t8537*t9323+t8640*t8795+t9796; + t9274 = t8637*t8557; + t9541 = t8507*t9002+t8640*t9274+t9805; + t9540 = t8601*t9192+t8441*t9002+t9632; + t8300 = t8569*t9414; + t8827 = t8583*t9395; + t9539 = t8300+t8637*t8827+t9805; + t9538 = t8604*t9230+t8532*t9108+t9675; + t8423 = RATIONAL(35.0,288.0); + t9373 = t8636*t8566; + t9135 = z*t9373; + t8086 = x*t9135; + t9537 = t7056+t8423*t9002+y*t8300+t8086; + t9213 = t8463*t9449; + t9536 = y*t9213+t6924+t8605*t9021+t8542*t9171; + t8796 = t8640*t9267; + t9535 = t8635*t8796+t8598*t9414+t9754; + t9534 = t8436*t9021+t8588*t9171+t9811; + t9533 = t8640*t9165+t8436*t9002+t9632; + t9532 = t8634*t9230+t8563*t9108+t9626; + t8992 = t8534*t9395; + t9531 = t8637*t8992+t7624+t8608*t9192+t8086; + t9530 = t7550+t8494*t9382+t9323*t9051; + t9282 = t8640*t8593; + t9233 = t8550*t8636; + t8828 = t8640*t9233; + t9529 = t8636*t9282+t8638*t8828+t9829*t8635; + t8797 = t8436*t9237; + t9528 = t8637*t9186+t8636*t8797+t9740; + t9527 = t7781+t7773+t8464*t9021+t8540*t9171; + t7997 = t8639*t8956; + t8855 = t8638*t9373; + t7666 = z*t9162; + t9526 = t7997+t7888+t8640*t8855+t7666; + t9525 = t9685+(t8914+t9238)*t8640; + t8565 = RATIONAL(-16.0,9.0); + t9250 = t8639*t8565; + t8416 = RATIONAL(112.0,27.0); + t8415 = RATIONAL(-140.0,27.0); + t9524 = t8549*t9323+t8635*t9250+t8415*t9021+t8416*t9104; + t8875 = t8550*t9414; + t9523 = t8639*t9295+t8637*t9282+t8635*t8875+t8638*t9003; + t8809 = t8446*t9323; + t9522 = t7997+t7464+t9453*t8809; + t9521 = t8443*t9108+z*t8869+t9762; + t9142 = t8517*t9459; + t7160 = t8639*t9142; + t9086 = t8463*t9237; + t9520 = t8635*t9086+t8512*t9171+t7160+t8572*t9021; + t9519 = t8443*t9002+t8518*t9192+t9729; + t9518 = t8311+t8637*t8916+t9757; + t9136 = t8581*t9433; + t7982 = x*t9136; + t8434 = RATIONAL(35.0,216.0); + t7967 = t8639*t8793; + t9517 = t7982+t7967+t8434*t9002+t8583*t9192; + t8874 = t8639*t9277; + t8331 = t8637*t9266; + t9516 = t8331+t8637*t8874+t9813; + t9212 = t8539*t9449; + t7770 = y*t9212; + t9515 = t7770+t8486*t9021+t8411*t9104+t8558*t9171; + t7934 = y*t9207; + t8432 = RATIONAL(-35.0,288.0); + t8516 = RATIONAL(5.0,288.0); + t9514 = t7934+t7466+t8432*t9021+t8516*t9171; + t8306 = t8640*t9278; + t9513 = t8423*t9021+t7050+t8080+x*t8306; + t9512 = t8463*t9192+t8640*t8857+t9729; + t9272 = t8636*t8528; + t8849 = t8637*t9272; + t9511 = z*t8849+t7439+t8530*t9430+t8527*t9108; + t9510 = t8441*t9021+t8601*t9171+t9811; + t8919 = t8592*t9285; + t7860 = t8639*t8919; + t7723 = y*t9133; + t9509 = t8434*t9021+t7860+t8583*t9171+t7723; + t9508 = t8467*t9192+t8637*t8810+t9701; + t9507 = t8306+t8636*t8792+t9652; + t9506 = t9332*t9466+t8451*t9002+t6971+y*t8796; + t7748 = t8580*t9104; + t8862 = t8442*t9323; + t9505 = t7748+t8401*t9021+x*t8862+t8633*t9382; + t9504 = t8554*t9002+t8637*t9255+t9649; + t9292 = t8549*t8637; + t9503 = t8638*t9250+t8416*t9023+t8415*t9002+t8640*t9292; + t8615 = RATIONAL(-5.0,9.0); + t9214 = t8615*t9433; + t8562 = RATIONAL(10.0,9.0); + t9331 = t8562*t8636; + t8883 = t8639*t9331; + t7171 = t8464*t9205; + t9502 = t7643+t7171+(t8883+t9214)*t8637; + t9501 = t9748+(t8801+t9141)*t8637; + t9362 = t8640*t8494; + t9500 = t7335+t9362*t9464+t8525*t9836; + t9499 = t8281+t8636*t8852+t9767; + t9498 = t8540*t9192+t7810+t8464*t9002+t7962; + t9497 = t8507*t9021+t8557*t9323+t9652; + t8850 = t8637*t9233; + t9496 = t8285+t8496*t9042+t8639*t8850+t8635*t9295; + t9495 = t8309+t8639*t8281+t9784; + t8387 = RATIONAL(-175.0,144.0); + t9494 = x*t9214+y*t8821+t7212+t8387*t9002; + t7114 = t8447*t9195; + t9493 = t8530*t9023+t8500*t9002+t8494*t9192+t7114; + t8880 = t8540*t9316; + t9492 = t8464*t9108+z*t8880+t9726; + t9132 = t8535*t9451; + t9491 = t8451*t9021+t8508*t9382+t7000+t8636*t9132; + t8969 = t8542*t9237; + t8149 = t8635*t8969; + t9490 = t7770+x*t8953+t8410*t9021+t8149; + t9489 = t8531*t9323+t8549*t9021+t9771; + t9488 = t8601*t9230+t8441*t9108+t9740; + t9150 = t8535*t9433; + t9487 = t8451*t9108+t9347*t9464+t8637*t9150+t9806; + t9226 = t8530*t9433; + t6878 = t8412*t9195; + t9287 = t8528*t8640; + t8817 = t8637*t9287; + t9486 = t7540+t8527*t9002+y*t8817+x*t9226+t6878; + t9485 = t8562*t9002+t7388+t8615*t9192+t9776; + t9228 = t8574*t9433; + t7988 = x*t9228; + t9484 = t7988+t8516*t9192+t8432*t9002+t9636; + t8390 = RATIONAL(-245.0,432.0); + t8561 = RATIONAL(-5.0,12.0); + t8632 = RATIONAL(5.0,6.0); + t9483 = t8632*t9002+t8390*t9023+t8561*t9192+t9814; + t8819 = t8516*t9316; + t9482 = t8432*t9108+t7434+z*t8819+t9778; + t8524 = RATIONAL(35.0,96.0); + t8403 = RATIONAL(-245.0,576.0); + t9481 = t8524*t9002+t7982+t7429+t8403*t9023+y*t8909; + t9480 = t8390*t9104+t8561*t9171+t8632*t9021+t9736; + t8437 = RATIONAL(25.0,144.0); + t8927 = t8635*t9326; + t7311 = x*t8927; + t9479 = t8075+t7311+t8585*t9382+t9831*t8437; + t8490 = RATIONAL(25.0,18.0); + t8458 = RATIONAL(16.0,27.0); + t7251 = t8458*t9322; + t8556 = RATIONAL(-25.0,9.0); + t8483 = RATIONAL(-20.0,27.0); + t9478 = t8556*t9021+t8490*t9171+t7251+t8483*t9382+t7258; + t9477 = t7219+t7171+t8485*t9230+t8387*t9108+t8615*t9430; + t9476 = t7400+t8524*t9021+t8403*t9104+t8599*t9171+t7723; + t8898 = t8437*t9414; + t7642 = y*t8824; + t9475 = t8117+t8585*t9389+t7642+t9450*t8898; + t8586 = RATIONAL(5.0,18.0); + t9474 = y*t8884+t6877+t8586*t9002+t9776; + t6997 = t8635*t8797; + t9473 = t6997+t8592*t9171+t8586*t9021+t9711; + t7381 = t8458*t9409; + t9472 = t8483*t9389+t7381+t7259+t8490*t9192+t8556*t9002; + t9408 = t8465*t8635; + t7312 = t9408*t9466; + t9471 = y*t8932+t9379*t9466+t7312+t7111+t8605*t9002; + t8455 = RATIONAL(-35.0,72.0); + t8943 = t8455*t9244; + t9470 = t7400+t7934+t7311+t8636*t8943+t8128+t7896; + t7690 = z*t9142; + t8863 = t8461*t9414; + t9469 = t7121+t6878+t7690+t7126+t9450*t8863; + t7430 = t8638*t9134; + t9049 = t8455*t9366; + t9468 = t7430+t7979+t7855+t8637*t9049+t9778; + t8844 = t8506*t9316; + t9467 = t9703+t9731+t9447*t8844; + t9463 = t8528*y; + t9462 = t8535*x; + t9455 = z*t9464; + t9454 = t8535*y; + t9445 = t8542*x; + t8606 = RATIONAL(4.0,9.0); + t9442 = x*t8606; + t8622 = RATIONAL(-4.0,9.0); + t9441 = z*t8622; + t8573 = RATIONAL(-1.0,27.0); + t9440 = x*t8573; + t9439 = t8542*z; + t9437 = t8528*z; + t9435 = x*t8525; + t8856 = t8525*t9414; + t7702 = t8636*t8856; + t6887 = t8412*t8889; + t9432 = t7702+t6887; + t7685 = y*t9185; + t7649 = t8637*t9357; + t9431 = t7685+t7649; + t7491 = t8521*t9205; + t9429 = t7491+t8637*t9201; + t9159 = t8635*t9438; + t6946 = z*t9159; + t9304 = z*t9448; + t9427 = t8636*t9304+t6946; + t8570 = RATIONAL(-5.0,96.0); + t9281 = t8570*t8636; + t8912 = t8637*t9281; + t9424 = t6828+t8640*t8912; + t7029 = t8636*t8898; + t9423 = t7506+t7029; + t9422 = t8639*t8557; + t9421 = t8580*t8638; + t8872 = t8420*t9285; + t9419 = z*t8872+t6883; + t9416 = t8527*t8635; + t9239 = y*t9436; + t9406 = t7360+t8637*t9239; + t9405 = t8584*t8640; + t9219 = t8509*t9433; + t7484 = x*t9219; + t9404 = t7484+t7690; + t9401 = t8639*t8580; + t9187 = x*t9300; + t7084 = t8639*t9187; + t9400 = t7084+t8420*t9167; + t8413 = RATIONAL(-49.0,144.0); + t9396 = t8639*t8413; + t9392 = t8637*t9130+t6878; + t9390 = t8636*t9223+t6956; + t9387 = t7084+t8640*t9160; + t9386 = t6878+t8420*t9183; + t9385 = z*t9440; + t9381 = t8636*t9137+t7555; + t9175 = t8419*t9449; + t9380 = t7091+t8635*t9175; + t8896 = t8636*t9243; + t7053 = t8638*t8896; + t9375 = t7053+t6964; + t9372 = t8636*t9227+t6883; + t9369 = y*t9013+t7579; + t9367 = t8638+t8639; + t9364 = t7555+t8518*t9208; + t9361 = t8636*t9166+t6965; + t9360 = t8640+t8637; + t7578 = t8638*t9153; + t9359 = t7578+t7297; + t9358 = t8636+t8637; + t9356 = t8527*t8638; + t9355 = t8517*t9224+t7496; + t7010 = t8639*t9160; + t9354 = t8640*t9187+t7010; + t9353 = t8640*t8331+t7394; + t8984 = t8638*t9249; + t7108 = y*t8984; + t9138 = t8447*t9461; + t9352 = t7108+t8639*t9138; + t9351 = t7285+t8640*t9142; + t9349 = t7300+t8517*t9183; + t9341 = y*t9440; + t7949 = t8639*t9341; + t9348 = t8587*t9430+t7949; + t9342 = t7107+t8640*t9159; + t9336 = t7379+t8521*t9183; + t7105 = t8638*t8820; + t8887 = t8447*t9244; + t9335 = t7105+t8635*t8887; + t9152 = t8640*t9434; + t9334 = t7128+x*t9152; + t9325 = t7211+t8640*t8844; + t7103 = t8637*t8809; + t9324 = t7394+t7103; + t9320 = t8640*t9040+t6964; + t9319 = t8518*t9204+t7579; + t8815 = t8534*t9316; + t7525 = t8640*t8815; + t9318 = t7525+t7506; + t9317 = t8637*t8926+t7394; + t9315 = t8587*t9465; + t9314 = t7172+t8509*t9204; + t9313 = t8635+t8639; + t8457 = RATIONAL(25.0,12.0); + t9310 = t8457*t8636; + t8607 = RATIONAL(-5.0,8.0); + t9309 = t8607*t8636; + t8576 = RATIONAL(1.0,12.0); + t9306 = t8576*t8640; + t9305 = t8636+t8640; + t8395 = RATIONAL(-343.0,108.0); + t9294 = t8395*t8640; + t9286 = t8447*t8638; + t9283 = t7491+t8636*t9211; + t9280 = t8573*t9465; + t8609 = RATIONAL(-5.0,6.0); + t9279 = t8637*t8609; + t9276 = t8639*t8872+t6887; + t9273 = t7010+x*t8896; + t8578 = RATIONAL(1.0,72.0); + t9270 = t8635*t8578; + t8471 = RATIONAL(-98.0,27.0); + t9265 = t8637*t8471; + t9264 = RATIONAL(35.0,24.0)*t9111+t7102; + t9251 = t8635+t8638; + t8597 = RATIONAL(-5.0,24.0); + t9246 = t8637*t8597; + t9242 = t8580*t8635; + t9241 = t8445*t8636; + t9236 = t8637*t8927+t7506; + t8501 = RATIONAL(98.0,27.0); + t9232 = t8636*t8501; + t9222 = z*t9363; + t9221 = z*t9402; + t9215 = t8521*t9458; + t9209 = t8419*t9433; + t9203 = t8583*t9449; + t9202 = t8585*t9451; + t9196 = t8601*t9458; + t9184 = t8637*t9439; + t9176 = t8600*t9444; + t9163 = t8497*t9449; + t9161 = z*t9245; + t9158 = t8608*t9433; + t9157 = t8566*t9451; + t9154 = t8540*t9460; + t9143 = t8522*t9458; + t9140 = t8463*t9451; + t9131 = z*t9299; + t7570 = x*t9215; + t9126 = t7570+t7464+t8409*t9208; + t8449 = RATIONAL(49.0,54.0); + t9125 = t8449*t9224+t7171+z*t9242; + t7433 = t8458*t9365; + t9124 = t8453*t9430+t7433+y*t9442; + t8966 = t8463*t9244; + t9123 = t7685+t7578+y*t8966; + t8076 = x*t9315; + t9122 = y*t9157+t7531+t8076; + t9121 = t7991+t8579*t9382+y*t9439; + t9120 = y*t9422+t7648+t8505*t9204; + t7974 = x*t9280; + t9119 = t7603+y*t9145+t7974; + t9034 = t8444*t9237; + t9118 = t8639*t9391+t7506+t8635*t9034; + t9117 = t7311+(t9259+t9032)*x; + t9116 = t8449*t9229+t7171+z*t9421; + t9115 = t8634*t9302+t8462*t9042+t7556; + t9114 = t7818+(t9454+t9176)*x; + t9113 = t7775+(t9221+t9439)*x; + t9112 = y*t8949+t7614+t7579; + t7120 = x*t9239; + t9110 = t7120+t9800; + t9109 = t8439*t9204+y*t9259+t7642; + t9107 = y*t9254+t7834+t8637*t9154; + t7913 = t8536*t9455; + t7378 = t8493*t9322; + t9103 = t7913+t7378+t8489*t9382; + t9102 = t8635*t9374; + t8499 = RATIONAL(-1.0,432.0); + t9099 = t8499*t9316; + t9098 = t7814+y*t9445+t9293*t9464; + t9096 = t9453*t8636; + t7062 = t8441*t9195; + t7843 = t8601*t9322; + t9095 = y*t8886+t7062+t7843; + t7089 = y*t9304; + t7092 = t9286*t9465; + t9093 = t9340*t9465+t7089+t7092; + t7670 = t8464*t9189; + t9091 = t7670+t8449*t9208+x*t9242; + t7095 = t8638*t8870; + t9090 = t7095+t7114+t8639*t8922; + t9089 = z*t9371+t7683+t8477*t9224; + t9088 = t8592*t9237; + t9087 = t7233+t8449*t9183+y*t9421; + t7200 = z*t8903; + t9085 = t7200+t9827*z; + t9084 = t7974+t9673; + t9079 = t7648+t8474*t9183+t7843; + t9078 = t7312+x*t9131+z*t9435; + t9077 = t8449*t9204+t7233+y*t9401; + t7086 = z*t9187; + t9076 = t8476*t9224+t7086+t6883; + t9075 = t8569*t9453; + t7772 = x*t9154; + t9073 = t7772+t7080+t8455*t9204; + t9072 = t7556+t9627; + t9070 = t7614+t7204+t8409*t9183; + t9069 = t7430+(t9416+t9094)*z; + t9068 = t8505*t9167+t7345+x*t9422; + t8088 = t8635*t9385; + t9067 = t7773+t8088+t8588*t9208; + t9066 = t6959+z*t8948+t6956; + t9065 = t8637*t9450; + t7438 = t8635*t9137; + t9064 = x*t8830+t7438+t8088; + t9063 = t7430+z*t9356+t8439*t9229; + t9062 = t7120+t9623; + t9061 = t7323+t8472*t9042+t8610*t9302; + t9060 = t7236+t9723; + t6838 = t8396*t9205; + t6825 = RATIONAL(343.0,1728.0)*t8889; + t9059 = t6838+t8440*t9042+t6825; + t7969 = x*t9196; + t9057 = x*t8992+t6980+t7969; + t9056 = x*t9401+t7670+t8449*t9167; + t9055 = t7369+x*t9256+t8488*t9167; + t9054 = t8500*t9208+t7010+t6968; + t8000 = t8601*t9365; + t8567 = RATIONAL(-8.0,27.0); + t7820 = t8567*t9455; + t9053 = t8000+t7820+t8608*t9430; + t9050 = y*t8957+t7108+t6966; + t8813 = t8604*t9237; + t9046 = t7794+t8635*t8813+t7833; + t9044 = t7772+t7233+t8454*t9204; + t9043 = t8606*t9465+t8453*t9382+t7251; + t9041 = t7204+t8444*t9183+y*t9410; + t9038 = t7648+t8505*t9183+y*t9413; + t9037 = t8477*t9204+y*t9407+t7517; + t8041 = t8638*t9280; + t9036 = t8638*t9170+t7962+t8041; + t9035 = t8635*t9156+t7200+z*t9337; + t9030 = t7871+z*t9462+x*t9161; + t9029 = t7345+t8474*t9208+t7969; + t7445 = RATIONAL(64.0,27.0)*t8889; + t9026 = t7445+t8635*t9378+t8426*t9104; + t9025 = t7311+(t9416+t8996)*x; + t9024 = x*t8794+t7438+t7429; + t7510 = t8638*t9143; + t9022 = t7510+t9833*z; + t8538 = RATIONAL(-10.0,9.0); + t9016 = t8538*t9237; + t8602 = RATIONAL(-5.0,18.0); + t8329 = t8602*t9316; + t8361 = t8636*t9279; + t9009 = t8636*t9286; + t8301 = t8636*t9292; + t9006 = t7400+t8519*t9183+t7379; + t8998 = t8592*t9244; + t8997 = t8540*t9167+t7822+x*t9254; + t8995 = t8526*t9042+t7594+t7019; + t8994 = t8076+t9717; + t8993 = t7578+t7182+t8550*t9183; + t8989 = t8598*t9453; + t8985 = t9453*t8537; + t8980 = t8638*t9331; + t8978 = t7248+t7690+t8635*t9140; + t8977 = t7379+t8581*t9183+t8041; + t8976 = z*t8836+t6987+t6956; + t8975 = t7614+t7062+t8552*t9183; + t8973 = t8566*t9366; + t8970 = t7394+t8635*t8998+t8094; + t8968 = t7642+(t9356+t8859)*y; + t8967 = t8511*t9244; + t8963 = t8540*t9023+t7768+t8638*t9254; + t8959 = t8478*t9316; + t8958 = t8510*t9366; + t8955 = t7768+t9817; + t8954 = t8637*t9196+t7809+z*t9297; + t8952 = t8488*t9224+t7144+z*t9275; + t8950 = t7578+t9826*y; + t8945 = z*t9442+t8453*t9389+t7381; + t8941 = t8505*t9208+t7345+x*t9415; + t8940 = x*t8888+t6978+t6833; + t8938 = t7204+(t9034+t9417)*y; + t8937 = t7776+t8636*t9182+z*t9328; + t8936 = t8450*t9316; + t8934 = t7037+t7010+t8500*t9167; + t8929 = t9447*t8636; + t8925 = t7236+t9735; + t8924 = t7510+t8444*t9224+z*t9391; + t8923 = t7794+t9795; + t8918 = t7570+t7555+t8522*t9208; + t8837 = t8455*t9395; + t8915 = x*t8837+t6876+t7771; + t8913 = t8467*t9285; + t8907 = t8636*t9397; + t8906 = t8140+(t8874+t9370)*x; + t8905 = t9450*t8640; + t7413 = x*t9153; + t8902 = t7413+(t9435+t9206)*y; + t8901 = t8640*t9312; + t8895 = t8538*t9395; + t8882 = t7323+t9803; + t8881 = z*t8990+t7086+t6863; + t8879 = t8639*t8831+t7291+t7180; + t8876 = t8039+(t9454+t9190)*z; + t8873 = t7598+t8488*t9183+y*t9412; + t8858 = t8635*t9362; + t8854 = t7291+t9707; + t8848 = t8603*t9244; + t8845 = t8577*t9323; + t8842 = t8638*t9272; + t8841 = t8639*t8913+t7160+t6887; + t8840 = t8006+y*t9333+t8601*t9183; + t8835 = t9447*t8537; + t8833 = t9447*t8593; + t8823 = t8558*t9414; + t8814 = t8640*t9253; + t8811 = t8510*t9237; + t8804 = t8447*t9285; + t8791 = t9405+t8576; + t8418 = RATIONAL(-196.0,27.0); + t8564 = RATIONAL(28.0,9.0); + t8790 = t8418*t8640+t8564; + t8789 = t8584+t8427*t8640; + t8618 = RATIONAL(-4.0,3.0); + t8788 = t8564*t8640+t8618; + t8026 = t8636*t8935; + t8787 = t8638*t8845+t8026+t9236; + t7382 = t8636*t8890; + t8786 = t7095+t8637*t8858+t8636*t8984+t7382; + t8785 = t8640*t9096; + t8784 = t8637*t8929; + t8783 = t8637*t8905; + t7549 = t8637*t8988; + t8782 = t7549+t8640*t8894+t9276; + t7423 = t8640*t8983; + t8781 = t8639*t8843+t7423+t9320; + t8780 = t8463*t9002+t7559+t9625; + t7695 = t8639*t8826; + t7627 = t8635*t8866; + t8779 = t7695+t7627+t9794; + t8591 = RATIONAL(-7.0,24.0); + t8582 = RATIONAL(1.0,24.0); + t8778 = t8591*t8639+t8582*z; + t8513 = RATIONAL(-35.0,48.0); + t8777 = t8609*x+t8513*t8638; + t8776 = t9426+t8542*y; + t8775 = t8526*t8638+t8538*x; + t8774 = t8538*y+t8526*t8635; + t8773 = t9417+t8535*z; + t8772 = t9463+t9416; + t8771 = t8468*t8639+t8592*z; + t8770 = t9462+t9410; + t8769 = t8596*t8635+t8631*y; + t8768 = t8562*x+t8545*t8638; + t8767 = t8609*y+t8513*t8635; + t8619 = RATIONAL(2.0,3.0); + t8620 = RATIONAL(-1.0,3.0); + t8766 = t8619*t8635+t8620*y; + t8624 = RATIONAL(1.0,3.0); + t8548 = RATIONAL(7.0,24.0); + t8765 = t8548*t8635+t8624*y; + t8764 = t8548*t8639+t8624*z; + t8763 = t8633*t8639+t8605*z; + t8762 = t8619*t8639+t8620*z; + t8761 = t9391+t9454; + t8760 = t8619*t8638+t8620*x; + t8759 = t8468*t8635+t8592*y; + t8758 = t8468*t8638+t8592*x; + t8757 = t8545*t8639+t8562*z; + t8466 = RATIONAL(35.0,48.0); + t8546 = RATIONAL(-5.0,48.0); + t8756 = t8546*x+t8466*t8638; + t8755 = t9356+t8528*x; + t8754 = t8591*t8638+t8582*x; + t8628 = RATIONAL(-5.0,3.0); + t8753 = t8628*t8639+t8632*z; + t8752 = t8596*t8638+t8631*x; + t8751 = t8577*t8638+t8578*x; + t8750 = t8577*t8635+t8578*y; + t8749 = t8577*t8639+t8578*z; + t8748 = t9445+t9328; + t8747 = t8513*t8639+t8609*z; + t8746 = t8633*t8638+t8605*x; + t8745 = t8605*y+t8633*t8635; + t8744 = t8466*t8635+t8546*y; + t8743 = t8526*t8639+t8538*z; + t8742 = t8545*t8635+t8562*y; + t8741 = t8628*t8635+t8632*y; + t8740 = t8628*t8638+t8632*x; + t8739 = t8466*t8639+t8546*z; + t8738 = t9437+t9259; + t8737 = t9254+t9439; + t8736 = t8548*t8638+t8624*x; + t8735 = t8596*t8639+t8631*z; + t8734 = t8582*y+t8591*t8635; + t7318 = t8636*t8863; + t8733 = t8516*t9002+t7318+t9298+t9375; + t8732 = t8639*t8959+t7627+t9325+t9334; + t8731 = t8530*t9192+t8637*t8871+t9636+t9822; + t8730 = t8516*t9021+t7318+t6964+t6960+t9406; + t8729 = t7773+t8640*t9004+t7860+t8600*t9171+t9324; + t8728 = t8639*t8803+t8396*t9042+t9334+t9424; + t7167 = t8637*t8814; + t7232 = t8640*t8798; + t8727 = x*t8899+t7167+t7232+t8879; + t7047 = RATIONAL(-175.0,27.0)*t9111; + t8726 = t7445+t7580+t7047+t8435*t9021+t8514*t9104+t8520*t9171; + t6925 = t8637*t9048; + t8725 = t7794+t6925+t8637*t9221+t8639*t8880+t9675; + t8492 = RATIONAL(1.0,432.0); + t7715 = t8492*t9111; + t8724 = t7715+t8638*t8858+t7105+t7094+t8511*t9836; + t8723 = t8637*t9176+t7967+t8444*t9002+t7962+t9324; + t7280 = RATIONAL(-49.0,18.0)*t9111; + t8722 = t7280+t8612*t9316+t8554*t9108+t9115; + t8721 = t9325+t7761+t7200+(t8811+t9217)*t8636; + t8720 = t7414+t8442*t9108+t8640*t9341+t7854+t9423; + t8719 = x*t8972+t7506+t7248+t8636*t8859+t8149+t8026; + t6998 = RATIONAL(245.0,27.0)*t9111; + t8718 = t7340+t8301+t8416*t9042+t8415*t9108+t6998+t8565*t9302; + t8717 = t8639*t8819+t7318+t9320+t9338; + t8716 = t6925+t8579*t9192+t8540*t9002+t8923; + t8715 = t8636*t9385+t8012+t8635*t8944+t7592+t9423; + t8714 = t8640*t8842+t7092+t7702+y*t9175+t9276; + t8713 = t9798+t7248+t7828+t9453*t8814; + t6993 = t8427*t9111; + t8712 = t6993+t8963+(t8965+t9405)*t8637; + t8711 = x*t8799+t8409*t9021+t9317+t9698; + t7629 = t8635*t8901; + t8710 = y*t8901+t7629+t7167+t8854; + t8709 = t8635*t8823+t8636*t8805+t9404+t9424; + t8708 = t7438+t6997+t8640*t8907+t8539*t9171+t9317; + t8707 = t8507*t9108+t8636*t9274+t9745+t9767; + t8706 = t8637*t8807+t8558*t9021+t9424+t9431; + t7753 = t8637*t9135; + t8705 = t8637*t8974+t7753+t9781+t9806; + t8704 = t8636*t9199+t7384+t8635*t8966+t8637*t9008+t9325; + t8703 = t8637*t9149+t8636*t8813+t9724+t9726; + t6886 = RATIONAL(-175.0,48.0)*t9111; + t8702 = z*t8936+t8400*t9108+t6886+t8995; + t6922 = RATIONAL(245.0,36.0)*t9111; + t8701 = t8636*t9231+t8639*t8301+t6922+t9061; + t8700 = t8636*t8971+t8598*t9323+t8026+t9118; + t8699 = t6925+t8579*t9171+t8636*t8986+t9046; + t8698 = t7748+t7464+x*t8845+t8523*t9021+t9752; + t7176 = t8637*t8867; + t8697 = t7291+t7167+t8637*t9131+t7176+t9731; + t8696 = t7706+t8581*t9021+t9317+t9406; + t8695 = t8639*t8849+t7113+t7011+t8640*t9383+t9432; + t8694 = t7103+t8970+(t9014+t9161)*t8637; + t8693 = t8637*t9280+t7936+t7029+t8638*t8862+t9236; + t8692 = t8635*t8817+t7117+t7009+x*t9209+t9432; + t8555 = RATIONAL(-1.0,12.0); + t8691 = t8555+t8640*t9241+t9305*t8552; + t7209 = t8454*t9111; + t8529 = RATIONAL(-10.0,27.0); + t8689 = t7209+t7768+t8529*t9108+t8329+t9098+t9813; + t8688 = t8602*t9414+t7209+t8529*t9002+t8963+t9113; + t8589 = RATIONAL(25.0,9.0); + t6910 = RATIONAL(-175.0,36.0)*t9111; + t8687 = t7556+x*t9441+t8482*t9389+t7179+t8457*t9414+t6910+t8589*t9002+ +t9649; + t8686 = t8576*t9316+t7137+t8631*t9108+t9353+t9784+(t9463+t9169)*x; + t8424 = RATIONAL(49.0,864.0); + t8685 = t6838+t9703+t8424*t9042+t9060+t9447*t8912; + t7443 = t8640*t8936; + t8684 = t7443+t7323+t8609*t9323+t8538*t9021+t8876+t9771; + t8683 = t8592*t9230+t8586*t9108+t9084+t9689+t9748; + t8682 = t8640*t9246+t8602*t9002+t9030+t9318+t9754; + t8681 = t7493+t8482*t9430+t6910+t8622*t9464+t8637*t9310+t8589*t9108+t9115 +; + t8680 = t8631*t9002+t9353+t7184+t8637*t9306+t9685+(t9437+t9220)*x; + t8679 = t8069+t7988+t8637*t8837+t7429+t8019+t7642+t9564; + t8678 = t7510+t8000+t8633*t9430+t7719+t8442*t9230+t8401*t9108+t8076+t9699 +; + t8677 = t7413+t8636*t9184+t7491+y*t9140+t7120+t6911+t8605*t9108+t9638; + t8676 = t7820+t8490*t9230+t7433+t8556*t9108+t8483*t9430+t9626+t9764; + t8675 = t7510+t8637*t8973+t8033+t7753+t9062+t9638; + t8394 = RATIONAL(343.0,432.0); + t8674 = t8609*t9002+t8638*t9396+t8394*t9023+t8607*t9414+t9113+t9264; + t8673 = t7430+y*t9202+t7949+t9689+t7974+t7963+t8437*t9836; + t8672 = t8529*t9021+t7209+t8602*t9323+t8955+t9121; + t7656 = RATIONAL(-25.0,32.0)*t9111; + t8671 = t8599*t9230+t7063+t8403*t9042+t6825+t7656+t8524*t9108+t9119; + t8670 = t8615*t9382+t7670+t7913+t8387*t9021+t8130+t8485*t9171+t7502+t9749 +; + t8669 = t8555+t8552*t8640+(t8552+t8445*t8640)*t8637; + t8668 = t7004+t8390*t9042+t8561*t9230+t8632*t9108+t8994+t9699; + t8667 = t9587+t9701+x*t9225+t6946+t9450*t8856; + t8666 = t8434*t9108+t8636*t9203+t7442+t8970+t9119; + t8665 = t8637*t9158+t8639*t8815+t7221+t8995+t9122; + t7153 = RATIONAL(5.0,144.0)*t9111; + t8664 = t7685+t7084+t7153+t7155+t7120+t6887+t7666+t9831*t8461; + t8663 = t7670+t7192+t8615*t9171+t7974+t8640*t8980+t9650+t9711; + t8662 = t7525+t8597*t9323+t8602*t9021+t8876+t9118; + t8661 = y*t9441+t8482*t9382+t7378+t8640*t9310+t6910+t8589*t9021+t9072; + t7831 = RATIONAL(5.0,16.0)*t9111; + t8660 = t7570+y*t8823+t7120+t8411*t9023+t8079+t6865+t7831+t8486*t9002+ +t6824; + t7148 = RATIONAL(-25.0,54.0)*t9111; + t8658 = t8604*t9171+t7148+t8532*t9021+t8076+t9046+t9736; + t7263 = RATIONAL(5.0,108.0)*t9111; + t8657 = t7263+t7236+t8879+t9683+t9453*t8506*t9323; + t8655 = t8394*t9042+t8639*t8361+t8637*t9309+t8413*t9302+t9098+t9264; + t8654 = t7491+z*t8281+t8423*t9108+t7048+t9122+t9804; + t8653 = t7687+t8636*t9306+t8631*t9021+t9353+t9796+(t9437+t9216)*y; + t8652 = t8636*t9246+t8639*t8329+t9114+t9318+t9757; + t8651 = t8057+z*t8959+t7200+t8410*t9108+t9110+t9638; + t8650 = t7089+t7093+t8527*t9021+t9260*t9465+t8528*t9171+t7084+t7482+t9714 +; + t8649 = t8640*t9309+t8635*t9396+t8609*t9021+t8394*t9104+t9121+t9264; + t8648 = t6856+t8424*t9023+t8925+t9723+t9830*t8570; + t8647 = t8640*t9279+t8637*t8895+t7443+t8882+t9030; + t8646 = t8552*t8636+t8555+(t8552+t9241)*t8637; + t8645 = t9060+t6868+t8424*t9104+t9683+t9281*t9835; + t8644 = t8636*t9016+t7443+t8361+t9061+t9114; + t8630 = RATIONAL(5.0,3.0); + t8629 = RATIONAL(5.0,4.0); + t8627 = RATIONAL(-1.0,6.0); + t8625 = RATIONAL(-7.0,3.0); + t8623 = RATIONAL(-1.0,2.0); + t8621 = RATIONAL(1.0,6.0); + t8616 = RATIONAL(1.0,4.0); + t8613 = RATIONAL(-2.0,3.0); + t8571 = RATIONAL(-28.0,9.0); + t8568 = RATIONAL(49.0,9.0); + t8553 = RATIONAL(7.0,12.0); + t8544 = RATIONAL(-1.0,48.0); + t8543 = RATIONAL(-7.0,48.0); + t8541 = RATIONAL(7.0,48.0); + t8515 = RATIONAL(50.0,27.0); + t8504 = RATIONAL(25.0,16.0); + t8498 = RATIONAL(25.0,24.0); + t8491 = RATIONAL(-25.0,12.0); + t8481 = RATIONAL(-49.0,36.0); + t8479 = RATIONAL(-50.0,27.0); + t8460 = RATIONAL(49.0,36.0); + t8448 = RATIONAL(-25.0,192.0); + t8429 = RATIONAL(196.0,27.0); + t8428 = RATIONAL(100.0,27.0); + t8425 = RATIONAL(-100.0,27.0); + t8408 = RATIONAL(-25.0,108.0); + t8404 = RATIONAL(175.0,192.0); + t8399 = RATIONAL(-175.0,108.0); + t8393 = RATIONAL(343.0,108.0); + t8392 = RATIONAL(-175.0,192.0); + t8388 = RATIONAL(175.0,108.0); + t8213 = t8606*t9204; + t8209 = t8606*t9167; + t8207 = t8622*t9167; + t8204 = t8614*t9389; + t8200 = t8606*t9183; + t8197 = t8606*t9229; + t8196 = t8611*t9042; + t8193 = t8622*t9229; + t8191 = t8622*t9208; + t8187 = t8622*t9204; + t8183 = t8611*t9023; + t8181 = t8606*t9224; + t8176 = t8611*t9104; + t8173 = t8622*t9183; + t8171 = t8608*t9382; + t8170 = x*t9158; + t8169 = t8614*t9430; + t8166 = t8606*t9208; + t8162 = t8622*t9224; + t8160 = t8567*t9104; + t8158 = y*t8969; + t8157 = x*t9008; + t8152 = t8635*t9184; + t8147 = y*t8998; + t8146 = t8562*t9208; + t8145 = t8636*t9139; + t8143 = t8638*t9186; + t8136 = y*t8848; + t8135 = x*t8878; + t8129 = z*t8900; + t8125 = z*t8907; + t8116 = t8635*t8848; + t8114 = t8584*t9229; + t8111 = t8594*t9224; + t8107 = t8572*t9204; + t8104 = t8595*t9204; + t8100 = t8550*t9229; + t8098 = t8636*t9210; + t8097 = t8588*t9224; + t8092 = t8584*t9224; + t8083 = x*t9081; + t8081 = t8584*t9167; + t8072 = x*t8801; + t8064 = t8639*t9179; + t8060 = y*t8792; + t8054 = t8595*t9224; + t8053 = t8635*t9212; + t8051 = t8603*t9204; + t8050 = t8637*t9315; + t8048 = t8638*t9136; + t8046 = x*t8973; + t8042 = z*t8795; + t8034 = t8637*t8832; + t8024 = t8585*t9167; + t8023 = t8569*t9167; + t8020 = t8539*t9208; + t8017 = t8635*t9207; + t8013 = t8587*t9389; + t8011 = t8567*t9023; + t8007 = t8638*t9141; + t8002 = t8562*t9224; + t7994 = z*t8793; + t7990 = t8566*t9224; + t7986 = t8595*t9183; + t7983 = t8637*t9198; + t7981 = t8539*t9183; + t7980 = t8638*t9181; + t7977 = t8637*t9194; + t7970 = y*t9016; + t7966 = t8569*t9208; + t7964 = t8635*t9202; + t7960 = t8635*t9157; + t7954 = x*t8916; + t7952 = t8581*t9167; + t7950 = t8584*t9183; + t7948 = t8585*t9183; + t7946 = t8574*t9167; + t7944 = t8635*t9133; + t7943 = x*t8883; + t7942 = t8637*t9174; + t7938 = t8538*t9167; + t7935 = y*t8802; + t7931 = t8638*t9150; + t7930 = t8566*t9183; + t7927 = t8550*t9204; + t7923 = t8550*t9167; + t7919 = z*t8855; + t7918 = t8562*t9183; + t7917 = t8638*t9149; + t7916 = t8640*t9144; + t7914 = t8574*t9204; + t7907 = t8552*t9167; + t7901 = t8559*t9167; + t7900 = t8635*t9132; + t7895 = t8538*t9224; + t7893 = x*t8895; + t7892 = z*t8980; + t7889 = t8594*t9208; + t7882 = t8603*t9229; + t7880 = y*t8946; + t7878 = t8639*t9180; + t7870 = t8552*t9229; + t7869 = t8594*t9183; + t7868 = t8547*t9023; + t7866 = z*t8914; + t7858 = t8538*t9183; + t7853 = t8635*t9146; + t7851 = z*t8919; + t7840 = t8636*t9005; + t7838 = t8604*t9208; + t7827 = y*t8971; + t7826 = t8569*t9204; + t7823 = t8547*t9042; + t7821 = t8538*t9229; + t7815 = t8562*t9204; + t7813 = t8567*t9042; + t7811 = t8638*t9228; + t7807 = t8595*t9167; + t7803 = x*t8827; + t7802 = t8572*t9229; + t7795 = t8603*t9167; + t7793 = t8552*t9224; + t7791 = t8552*t9204; + t7785 = x*t9102; + t7784 = t8572*t9183; + t7783 = t8559*t9224; + t7777 = t8635*t9203; + t7774 = t8595*t9208; + t7765 = t8539*t9167; + t7760 = z*t8865; + t7759 = x*t8933; + t7757 = t8535*t9204; + t7756 = z*t8868; + t7754 = t8572*t9208; + t7746 = y*t9088; + t7742 = y*t8813; + t7739 = t8639*t9148; + t7734 = z*t8831; + t7731 = t8539*t9204; + t7726 = t8594*t9167; + t7725 = z*t9082; + t7724 = t8603*t9208; + t7714 = t8494*t9183; + t7708 = t8635*t8967; + t7707 = t8635*t8811; + t7699 = t8638*t9226; + t7698 = z*t8922; + t7689 = t8511*t9167; + t7684 = t8455*t9229; + t7681 = t8640*t9173; + t7678 = t8494*t9224; + t7672 = t8510*t9208; + t7671 = y*t8943; + t7667 = x*t9222; + t7665 = y*t8967; + t7664 = t8638*t9222; + t7660 = t8452*t9204; + t7644 = t8497*t9208; + t7641 = t8495*t9023; + t7640 = x*t9015; + t7628 = t8476*t9208; + t7623 = t8519*t9167; + t7622 = t8519*t9204; + t7620 = x*t8964; + t7616 = t8638*t9127; + t7613 = t8487*t9208; + t7607 = t8508*t9224; + t7602 = t8534*t9204; + t7597 = t8455*t9224; + t7590 = z*t8822; + t7587 = t8509*t9208; + t7586 = t8636*t9155; + t7581 = y*t8829; + t7577 = t8452*t9208; + t7571 = t8530*t9204; + t7563 = z*t9129; + t7552 = t8487*t9183; + t7551 = t8454*t9229; + t7546 = t8521*t9204; + t7545 = t8637*t9215; + t7544 = t8503*t9204; + t7543 = t8639*t8948; + t7541 = t9339*t9464; + t7536 = x*t8871; + t7532 = t8511*t9204; + t7527 = t8487*t9167; + t7524 = t8500*t9224; + t7520 = t8638*t9188; + t7515 = t8533*t9183; + t7507 = t8639*t9129; + t7501 = t8454*t9167; + t7497 = x*t8816; + t7481 = t8635*t9213; + t7480 = t8509*t9167; + t7473 = t8508*t9183; + t7471 = t8638*t9219; + t7470 = t8637*t9164; + t7461 = t8636*t9191; + t7459 = y*t8893; + t7455 = y*t8892; + t7451 = t8497*t9183; + t7447 = t8530*t9167; + t7440 = t8639*t8904; + t7428 = t8534*t9167; + t7422 = t8530*t9002; + t7421 = t8452*t9229; + t7417 = t8534*t9224; + t7408 = y*t9086; + t7403 = y*t8951; + t7401 = t8530*t9208; + t7392 = t8495*t9104; + t7376 = t8474*t9224; + t7373 = z*t9052; + t7367 = t8530*t9183; + t7359 = t8517*t9204; + t7358 = x*t8858; + t7346 = t8508*t9167; + t7344 = z*t9031; + t7343 = t8635*t9163; + t7339 = t8474*t9229; + t7332 = t8635*t8851; + t7331 = t8637*t9143; + t7325 = y*t9163; + t7306 = t8487*t9229; + t7290 = y*t9039; + t7288 = t8521*t9167; + t7277 = t8635*t9217; + t7276 = t8512*t9167; + t7273 = y*t8811; + t7269 = x*t8810; + t7267 = t8534*t9229; + t7266 = y*t8911; + t7256 = t8533*t9204; + t7249 = y*t8864; + t7235 = t8638*t9152; + t7229 = t8521*t9229; + t7195 = t8497*t9430; + t7194 = t8635*t8951; + t7183 = y*t9010; + t7181 = z*t9019; + t7175 = z*t8897; + t7162 = t8635*t9197; + t7157 = t8638*t9218; + t7156 = x*t8839; + t7150 = t8454*t9224; + t7149 = t8637*t9128; + t7147 = z*t8913; + t7146 = t8638*t8958; + t7145 = x*t9049; + t7141 = x*t8958; + t7139 = t8638*t9015; + t7135 = t8533*t9229; + t7125 = t8467*t9204; + t7096 = z*t9009; + t7085 = t8436*t9183; + t7082 = y*t8797; + t7081 = t8639*t9009; + t7068 = z*t8861; + t7066 = y*t8999; + t7065 = x*t8960; + t7064 = x*t9027; + t7060 = t8433*t9183; + t7058 = t8421*t9204; + t7054 = t8414*t9042; + t7049 = x*t8818; + t7007 = t8412*t9204; + t7001 = t8436*t9224; + t6996 = x*t9018; + t6995 = t8433*t9224; + t6991 = z*t9007; + t6981 = t8419*t9167; + t6979 = t8638*t9209; + t6969 = t8447*t9430; + t6967 = y*t8887; + t6963 = z*t8804; + t6962 = z*t9138; + t6955 = t8414*t9104; + t6950 = t8640*t9151; + t6949 = z*t9047; + t6933 = x*t8806; + t6928 = t8419*t9204; + t6927 = t8639*t8804; + t6908 = t8412*t9183; + t6906 = z*t8857; + t6904 = t8409*t9229; + t6892 = t8640*t9147; + t6880 = t8436*t9229; + t6864 = t8391*t9042; + t6861 = t8637*t9001; + t6852 = t8389*t9023; + t6849 = t8406*t9104; + t6836 = t8391*t9023; + t6831 = t8389*t9104; + coeff_I_m2_m2_m2 = t7440+t7665+t8517*t9111+t7689+t7698+t9090+t7708+(t8785 ++(t8905+t8929)*t8637)*t8492+t7532+t9093+t9654+t9695+t9710+t9741; + coeff_I_m1_m2_m2 = t7249+t7153+t8841+t7147+t7125+t7232+t9469+t7156+t7162+ +t9062+x*t8828+t9553+t9656+t9791; + coeff_I_0_m2_m2 = t8593*t8905+t8993+t8100+t9035+(t8833+(t8574+t9258)* +t8640)*t8636+t9568+t9604+t9657+t9670+t9681+t9798; + coeff_I_p1_m2_m2 = (t8572*x+t8573*t8638)*t9323+t9467+t8925+t7784+t7802+ +t7707+t7263+t7273+t7277+t7276+t8854+t9633+t9660+t9746; + coeff_I_p2_m2_m2 = t7343+t8499*t9171+t7325+t8667+t7309+t7332+t7358+t7290+ +t8976+t9500+t9700+t9802; + coeff_I_p3_m2_m2 = t8499*t9021+t7714+t6962+t6963+t6927+t8724+t9352+t9559+ +t9721; + coeff_I_m2_m1_m2 = t7640+t7628+y*t8875+t8664+t7629+t7664+t7139+t7667+ +t7681+t9076+t9553+t9623+t9715; + coeff_I_m1_m1_m2 = t9513+t7068+t7054+t8076+t8064+t8046+t8918+t8417*t8784+ +t9112+t9537+t9751+t9773+t9804; + coeff_I_0_m1_m2 = t8636*t8835+t8042+t8769*t8640+t8136+t8662+t8924+t9540+ +t9600+t9637; + coeff_I_p1_m1_m2 = t8673+t7952+t7994+t7001+t7986+t9024+t9473+t9517+t9651; + coeff_I_p2_m1_m2 = t8685+t7344+t7346+t6991+t7914+t9006+t9054+t9506+t9514; + coeff_I_p3_m1_m2 = t8730+t7359+t6949+t9567+t9612+t9663+t9789; + coeff_I_m2_0_m2 = t8135+t7725+t8713+t9453*t9282+(t8833+(t8574+t9271)* +t8640)*t8637+t9078+t9085+t9604+t9661+t9779; + coeff_I_m1_0_m2 = t8682+t7724+t8752*t8640+t7866+t8637*t8835+t9022+t9510+ +t9600+t9730; + coeff_I_0_0_m2 = t7813+(t8627+t9251*t8614)*t8640+t8954+t9447*(t8576+t9266 ++(t8427*t8636+t8584)*t8637)+t9497+t9541+t9641+t9745; + coeff_I_p1_0_m2 = t8688+t8569*t9834+t7774+t8746*t8640+t7777+t8937+t9527+ +t9597+t9704; + coeff_I_p2_0_m2 = t7754+t8751*t8640+t7756+t8680+t8598*t9834+t9063+t9546+ +t9578+t9631; + coeff_I_p3_0_m2 = t7175+t8578*t9244+t8525*t9834+t8697+t9523+t9687+t9760; + coeff_I_m2_p1_m2 = t9467+t8657+t7754+t7734+t7157+t7149+t7141+(t8572*y+ +t8573*t8635)*t9414+t7146+t9691+t9789; + coeff_I_m1_p1_m2 = t8673+t7880+t6880+t7774+t7851+t9006+t9474+t9509+t9653; + coeff_I_0_p1_m2 = t8569*t8929+t8745*t8640+t7986+t8672+t9498+t9597+t9666+ +t9694+t9709; + coeff_I_p1_p1_m2 = t7760+t7724+t7739+t7726+t8136+t8658+t7813+t8438*t8784+ +t9543+t9765+t9773+t9795; + coeff_I_p2_p1_m2 = t8135+t7731+t8675+t6904+t8152+t9112+t9471+t9490+t9690; + coeff_I_p3_p1_m2 = t7590+t7650+t8721+t7681+t9314+t9431+t9616+t9669; + coeff_I_m2_p2_m2 = t7495+t9050+t9054+t7563+t9066+t7543+t9500+t7524+t7714+ +t8499*t9192+t7507+t9530+t9587; + coeff_I_m1_p2_m2 = t7455+t8685+t7946+t7290+t6995+t9024+t9484+t9491+t9720; + coeff_I_0_p2_m2 = t7931+t7784+t8653+t8750*t8640+t8598*t8929+t9069+t9519+ +t9578+t9808; + coeff_I_p1_p2_m2 = t7408+t8675+t6906+t8125+t7765+t8918+t8993+t9536+t9544; + coeff_I_p2_p2_m2 = t7628+t7249+t7135+t8650+t8590*t8784+t7054+t7447+t7571+ +t8881+t9486+t9654; + coeff_I_p3_p2_m2 = t7665+t8714+t6928+t7699+t9419+t9493+t9611; + coeff_I_m2_p3_m2 = t8499*t9002+t7678+t7081+t7358+t7096+t8724+t9361+t9427+ +t9621; + coeff_I_m1_p3_m2 = t8733+t7586+t7607+t9390+t9566+t9567+t9660; + coeff_I_0_p3_m2 = t7520+t8640*t9270+t8525*t8929+t8697+t9529+t9630+t9644; + coeff_I_p1_p3_m2 = t7480+t7481+t7461+t8721+t7162+t9404+t9520+t9658; + coeff_I_p2_p3_m2 = t8692+t7373+t6981+t9372+t9557+t9611+t9695; + coeff_I_p3_p3_m2 = t6979+t7708+t8447*t8784+t8786+t9380+t9662; + coeff_I_m2_m2_m1 = t7520+z*t8850+t7541+t8664+t7269+t7175+t7459+t9469+ +t7176+t7266+t9655+t9821; + coeff_I_m1_m2_m1 = t8417*t8783+t8654+t7181+t7058+t7960+t7990+t9513+t9705+ +t9718+t9738+t9810; + coeff_I_0_m2_m1 = t8735*t8636+t7882+t8537*t8905+t8662+t7935+t8938+t9488+ +t9591+t9815; + coeff_I_p1_m2_m1 = t8147+t8129+t7623+t8666+t7082+t8097+t9064+t9473+t9475; + coeff_I_p2_m2_m1 = t8648+t7544+t7060+t8017+t7497+t8934+t9487+t9514+t9706; + coeff_I_p3_m2_m1 = t8730+t7461+t7473+t7007+t9355+t9508+t9608; + coeff_I_m2_m1_m1 = t7570+t7919+t7331+t8654+t8417*t8785+t6955+t6933+t7930+ +t9537+t9642+t9684+t9763; + coeff_I_m1_m1_m1 = t8171+((t8480*y+t8392*t8635)*t8640+(t8392*t8639+ +RATIONAL(125.0,64.0)*t8640+t8480*z)*t8636)*t8637+t7428+t7267+t9053+t6849+t8170+ +t7602+t7417+(t8480*x+t8392*t8638)*t9323+t9057+t9095+t9702+t9786; + coeff_I_0_m1_m1 = t7858+t7821+t8702+t8767*t8640+((t8504+t8457*t8638)* +t8640+t8747)*t8636+t9043+t9120+t9609+t9727+t9744; + coeff_I_p1_m1_m1 = t9044+t7918+t7892+(t8498*x+t8491*t8638)*t9323+t7145+ +t9103+t7150+t8915+t6831+t9477+t9494+t9749; + coeff_I_p2_m1_m1 = t7684+t7065+t7064+(t8404*t8638+t8448*x)*t9323+t8671+ +t8092+t7671+t9481+t9622+t9755+t9785; + coeff_I_p3_m1_m1 = t7545+t8048+t7546+t8448*t9021+t8705+t6861+t8050+t8977+ +t9592; + coeff_I_m2_0_m1 = t8640*t8985+t8682+t7983+t7966+t8735*t8637+t9488+t9522+ +t9774+t9820; + coeff_I_m1_0_m1 = t7895+t8702+t8777*t8640+((t8504+t8457*t8635)*t8640+ +t8747)*t8637+t7893+t8945+t9068+t9618+t9634+t9697; + coeff_I_0_0_m1 = t7823+t6922+(t8629+t9251*t8630)*t8640+(t8636*t9265+t8613 ++t9358*t8554)*z+(t8395*t9316+t8551+t9358*t8460)*t8639+t8882+t9089+t9489+t9647+ +t9737; + coeff_I_p1_0_m1 = t8687+t8743*t8637+t8146+t8740*t8640+t9056+t9594+t9606+ +t9646+t9753; + coeff_I_p2_0_m1 = t7785+t8764*t8637+t8756*t8640+t8181+t8674+t9116+t9117+ +t9572+t9590; + coeff_I_p3_0_m1 = t8546*t9244+t7783+t8773*t8637+t8694+t9525+t9725+t9732; + coeff_I_m2_p1_m1 = t8054+t7785+t8666+t7049+t8143+t7622+t8977+t9474+t9479; + coeff_I_m1_p1_m1 = (t8491*t8635+t8498*y)*t9414+t7551+t7501+t6852+t8002+ +t8670+t8146+t7671+t9073+t9477+t9678; + coeff_I_0_p1_m1 = t7918+t7421+t8661+t8743*t8636+t8741*t8640+t8952+t9077+ +t9601+t9606; + coeff_I_p1_p1_m1 = t7823+t7858+t9472+t9478+t7306+t9053+t7893+(t8479*z+ +t8399*t8639)*t9316+t9712+t9739+t9764+t9780; + coeff_I_p2_p1_m1 = t8162+t8665+t7791+t7339+t7966+t9095+t9483+t9505+t9692; + coeff_I_p3_p1_m1 = t8693+t7930+t7917+t7942+t9319+t9528+t9613; + coeff_I_m2_p2_m1 = t9484+t7811+t7183+t7473+t7064+t8645+t9487+t9787+t9797; + coeff_I_m1_p2_m1 = (t8448*y+t8404*t8635)*t9414+t8204+t8081+t8114+t7060+ +t7066+t8671+t7597+t8915+t9476+t9722; + coeff_I_0_p2_m1 = t8147+t8764*t8636+t8744*t8640+t8649+t8197+t9109+t9125+ +t9572+t9599; + coeff_I_p1_p2_m1 = t7907+t8665+t7376+t8193+t7935+t9057+t9480+t9547+t9758; + coeff_I_p2_p2_m1 = t7870+t7793+t7541+(t8543*t8639+t8627*z)*t9316+t8660+ +t7256+t6933+t8940+t9515+t9718+t9786; + coeff_I_p3_p2_m1 = t8706+t7266+t8007+t9392+t9429+t9579+t9596; + coeff_I_m2_p3_m1 = t8733+t7497+t7616+t9273+t9595+t9608+t9768; + coeff_I_m1_p3_m1 = t8448*t9002+t8705+t7229+t7288+t6836+t8013+t7944+t9064+ +t9552; + coeff_I_0_p3_m1 = t8546*t9395+t8145+t8773*t8636+t8694+t9542+t9665+t9671; + coeff_I_p1_p3_m1 = t8111+t7960+t8098+t8715+t9381+t9528+t9605; + coeff_I_p2_p3_m1 = t7269+t8709+t8053+t9283+t9400+t9575+t9579; + coeff_I_p3_p3_m1 = t7471+t7470+(t9243+t9436)*t9316+t8782+t9759+t9821; + coeff_I_m2_m2_0 = t8593*t9096+(t9450*t8593+(t8587*t8639+t8574)*t8636)* +t8637+t8713+t7923+t7927+t8902+t8950+t9568+t9719+t9742; + coeff_I_m1_m2_0 = t7826+t8652+t8537*t9065+t8752*t8636+t7795+t9041+t9510+ +t9591+t9733; + coeff_I_0_m2_0 = (t8627+t9367*t8614)*t8636+t8707+t8840+t8011+t9450*(t8789 +*t8637+t8791)+t9497+t9728; + coeff_I_p1_m2_0 = t7807+t8746*t8636+t8569*t9065+t8689+t9527+t9555+t9624+ +t9635+t9793; + coeff_I_p2_m2_0 = t7757+t8598*t9065+t8157+t8686+t8751*t8636+t8968+t9546+ +t9615+t9777; + coeff_I_p3_m2_0 = t8578*t9418+t7178+t8525*t9065+t8710+t9496+t9668+t9760; + coeff_I_m2_m1_0 = t8051+t8652+t8769*t8637+t8636*t8985+t8023+t9522+t9540+ +t9643+t9801; + coeff_I_m1_m1_0 = t7970+t8777*t8636+((t8504+t8457*t8639)*t8636+t8767)* +t8637+t7019+t6886+t7938+t8941+t9038+t9124+t9609+t9618+t9672; + coeff_I_0_m1_0 = t7868+(t8629+t9367*t8630)*t8636+(t8637*t9294+t8551+t9360 +*t8460)*t8635+t8701+(t8640*t9265+t8613+t9360*t8554)*y+t9037+t9489+t9682; + coeff_I_p1_m1_0 = t7660+t7943+t8681+t8774*t8637+t8740*t8636+t8873+t9091+ +t9594+t9603; + coeff_I_p2_m1_0 = t8213+t8765*t8637+t8756*t8636+t8083+t8655+t9025+t9087+ +t9550+t9590; + coeff_I_p3_m1_0 = t8546*t9418+t7878+t8761*t8637+t8723+t9495+t9640+t9732; + coeff_I_m2_0_0 = t8707+(t8627+t9313*t8614)*t8637+t8160+t8906+t9453*(t8789 +*t8636+t8791)+t9541+t9819; + coeff_I_m1_0_0 = (t8613+t8471*t9323+t9305*t8554)*x+t8701+(t8629+t9313* +t8630)*t8637+(t8636*t9294+t8551+t9305*t8460)*t8638+t9647+t9686+t9688+t9750+ +t9803; + coeff_I_0_0_0 = RATIONAL(1.0,1.0)+(t8625+t9251*t8571)*t8640+(t8639+t9251) +*RATIONAL(4.0,3.0)+(t8625+(t8568+t8429*t8638)*t8640+t9367*t8571)*t8636+(t8625+( +t8429*t8635+t8568)*t8640+t9313*t8571+(t8568+t8429*t8639+RATIONAL(-343.0,27.0)* +t8640)*t8636)*t8637+t9026+t9645+t9761; + coeff_I_p1_0_0 = (t8630+t9313*t8547)*t8637+t8718+(t8790*t8636+t8788)* +t8638+t7392+(t8640*t9232+t8619+t9305*t8563)*x+t9055+t9503+t9664; + coeff_I_p2_0_0 = (t8623+t9313*t8613)*t8637+(t8393*t9323+t8553+t9305*t8481 +)*t8638+t8722+t8691*x+t8176+t8997+t9504+t9696; + coeff_I_p3_0_0 = t8034+(t8576+t9313*t8631)*t8637+t8691*t8638+t8712+t9516; + coeff_I_m2_p1_0 = t8745*t8637+t8636*t9075+t8104+t8689+t9498+t9560+t9640+ +t9696+t9734; + coeff_I_m1_p1_0 = t7815+t8681+t8741*t8637+t8775*t8636+t9087+t9601+t9617+ +t9664+t9674; + coeff_I_0_p1_0 = (t8630+t9367*t8547)*t8636+(t8790*t8637+t8788)*t8635+( +t8619+t8501*t9414+t9360*t8563)*y+t8718+t7641+t8873+t9524+t9713; + coeff_I_p1_p1_0 = t8768*t8636+t8726+((t8428*t8639+t8589)*t8636+t8742)* +t8637+t7527+t9124+t9582+t9628+t9645+t9682+t9686; + coeff_I_p2_p1_0 = t8644+t8766*t8637+t8758*t8636+t8187+t9038+t9581+t9619+ +t9659+t9819; + coeff_I_p3_p1_0 = t7977+t8793+t8776*t8637+t8716+t9499+t9693+t9801; + coeff_I_m2_p2_0 = t8750*t8637+t8636*t8989+t8686+t8107+t7954+t9025+t9519+ +t9602+t9668; + coeff_I_m1_p2_0 = t8736*t8636+t7746+t8209+t8655+t8744*t8637+t8968+t9091+ +t9586+t9599; + coeff_I_0_p2_0 = t8183+(t8623+t9367*t8613)*t8636+(t8553+t8393*t9414+t9360 +*t8481)*t8635+t8669*y+t8722+t9107+t9624+t9627+t9807; + coeff_I_p1_p2_0 = t8644+t8207+t7742+t8759*t8637+t8760*t8636+t8840+t8941+ +t9570+t9598; + coeff_I_p2_p2_0 = t8072+t8754*t8636+((t8624*t8639+t8616)*t8636+t8734)* +t8637+t8698+t8158+t8902+t9041+t9576+t9643+t9672; + coeff_I_p3_p2_0 = t7149+t8582*t9418+t8772*t8637+t8787+t8950+t9518+t9588; + coeff_I_m2_p3_0 = t8637*t9270+t7156+t8636*t9051+t8727+t9496+t9630+t9777; + coeff_I_m1_p3_0 = t8546*t9285+t7901+t8770*t8636+t8729+t9495+t9635+t9665; + coeff_I_0_p3_0 = t7840+t6993+(t8576+t9367*t8631)*t8636+t8669*t8635+t8955+ +t9516+t9816; + coeff_I_p1_p3_0 = t8024+t8919+t8748*t8636+t8699+t9499+t9677+t9733; + coeff_I_p2_p3_0 = t7276+t8582*t9285+t8755*t8636+t8719+t9518+t9629+t9719; + coeff_I_p3_p3_0 = t8842+(t9377+(t8525+t9329)*t8636)*t8637+t9639+t9742+ +t9794+t9812; + coeff_I_m2_m2_p1 = t8657+(t8572*z+t8573*t8639)*t9316+t7403+t7461+t7194+ +t8157+t8107+t7672+t9707+t9708+t9735+t9746+t9768; + coeff_I_m1_m2_p1 = t7746+t7085+t7944+t8683+t7807+t9067+t9475+t9509+t9706; + coeff_I_0_m2_p1 = t8129+t8060+t8763*t8636+t8569*t8905+t8672+t9107+t9492+ +t9555+t9671; + coeff_I_p1_m2_p1 = t8111+t7889+t7742+t7882+t8658+t8011+t8438*t8783+t7795+ +t9538+t9717+t9738+t9775; + coeff_I_p2_m2_p1 = t7181+t8677+t8053+t7923+t8158+t8978+t9070+t9490+t9545; + coeff_I_p3_m2_p1 = t7520+t7470+t7649+t7149+t8704+t9123+t9554+t9669; + coeff_I_m2_m1_p1 = t8048+t6996+t8083+t8683+t8104+t9036+t9479+t9517+t9787; + coeff_I_m1_m1_p1 = t7943+t7815+t7684+(t8491*t8639+t8498*z)*t9316+t8670+ +t7597+t9494+t9747+t9772+t9788+t9799; + coeff_I_0_m1_p1 = t8774*t8640+t7892+t8753*t8636+t8661+t9125+t9571+t9603+ +t9667+t9713; + coeff_I_p1_m1_p1 = t8676+t7868+(t8479*y+t8399*t8635)*t9414+t7821+t7376+ +t7938+t8170+t7552+t9029+t9478+t9628; + coeff_I_p2_m1_p1 = t7793+t7267+t8187+t8023+t8668+t9079+t9126+t9505+t9531; + coeff_I_p3_m1_p1 = t7919+t8693+t7977+t7869+t9429+t9533+t9593; + coeff_I_m2_0_p1 = t8688+t8054+t7803+t8763*t8637+t8640*t9075+t8997+t9492+ +t9560+t9725; + coeff_I_m1_0_p1 = t8775*t8640+t8687+t8753*t8637+t8002+t7577+t9055+t9116+ +t9571+t9617; + coeff_I_0_0_p1 = t6998+(t8630+t9251*t8547)*t8640+(t8637*t9232+t8619+t9358 +*t8563)*z+(t8564*t8636+t8618+(t8564+t8418*t8636)*t8637)*t8639+t8952+t9503+t9524 ++t9679+t9753; + coeff_I_p1_0_p1 = t7613+((t8589+t8428*t8635)*t8640+t8757)*t8637+t8726+ +t8768*t8640+t8945+t9577+t9737+t9750+t9761+t9780; + coeff_I_p2_0_p1 = t8162+t7838+t8762*t8637+t8758*t8640+t8647+t8906+t9532+ +t9619+t9634; + coeff_I_p3_0_p1 = t8998+t7942+t8737*t8637+t8725+t9539+t9693+t9774; + coeff_I_m2_p1_p1 = t8051+t8923+t7838+t9538+t7148+t8438*t8785+t8160+t8994+ +t7983+t7917+t7869+t9543+t9659+t9763; + coeff_I_m1_p1_p1 = (t8399*t8638+t8479*x)*t9323+t8676+t8171+t7895+t7613+ +t7970+t7339+t7527+t9079+t9472+t9688; + coeff_I_0_p1_p1 = t9026+t8742*t8640+t7047+t7306+((t8428*t8638+t8589)* +t8640+t8757)*t8636+t7552+t9037+t9043+t9089+t9577+t9582; + coeff_I_p1_p1_p1 = t7660+t7421+t9103+(t8425*t8638+t8515*x)*t9323+((t8515* +y+t8425*t8635)*t8640+(t8515*z+t8425*t8639+RATIONAL(125.0,27.0)*t8640)*t8636)* +t8637+t7577+t7641+t7392+t9646+t9667+t9674+t9678+t9679+t9799; + coeff_I_p2_p1_p1 = t8213+t7803+t7551+t9485+t9502+t8181+(t8388*t8638+t8408 +*x)*t9323+t8176+t9084+t9622+t9650+t9734+t9772; + coeff_I_p3_p1_p1 = t8408*t9021+t8703+t8034+t8143+t7878+t7783+t8050+t9036+ +t9607; + coeff_I_m2_p2_p1 = t8072+t7331+t8677+t8007+t7927+t9123+t9126+t9526+t9544; + coeff_I_m1_p2_p1 = t7870+t8207+t7826+t8668+t7417+t9029+t9070+t9547+t9549; + coeff_I_0_p2_p1 = t8762*t8636+t8759*t8640+t8684+t8193+t9532+t9598+t9728+ +t9744+t9775; + coeff_I_p1_p2_p1 = t8183+t8204+t8060+t8663+(t8388*t8635+t8408*y)*t9414+ +t7150+t8209+t8197+t9502+t9673+t9788+t9793; + coeff_I_p2_p2_p1 = t9470+t8679+t8114+t7757+(t8620*t8639+t8621*z)*t9316+ +t7085+t6996+t7954+t8092+t9708+t9747; + coeff_I_p3_p2_p1 = t7545+t7811+t7403+t8696+t7178+t9501+t9512; + coeff_I_m2_p3_p1 = t7471+t7175+t7484+t7276+t8704+t8978+t9585+t9658; + coeff_I_m1_p3_p1 = t8024+t7889+t7990+t8715+t9283+t9534+t9593; + coeff_I_0_p3_p1 = t9102+t8098+t8737*t8636+t8725+t9507+t9677+t9815; + coeff_I_p1_p3_p1 = t8703+t7901+t7840+t8408*t9002+t8145+t8097+t8013+t9067+ +t9556; + coeff_I_p2_p3_p1 = t7229+t7156+t8017+t7672+t8711+t9501+t9563; + coeff_I_p3_p3_p1 = t7616+t7194+(t8509*z+t9411)*t9316+t8780+t9355+t9766; + coeff_I_m2_m2_p2 = t7451+t7695+t8667+t7644+t7195+t7678+t7183+z*t9099+ +t8934+t9530+t9680+t9721; + coeff_I_m1_m2_p2 = t7853+t7623+t7438+t8648+t7066+t7607+t7581+t8976+t9482+ +t9491; + coeff_I_0_m2_p2 = t7802+t7827+t8653+t8749*t8636+t8598*t8905+t9109+t9521+ +t9615+t9644; + coeff_I_p1_m2_p2 = t7481+t8651+t7690+t8100+t8020+t9536+t9545+t9758+t9809+ +t9810; + coeff_I_p2_m2_p2 = t7515+t7373+t7401+t8650+t7256+t8590*t8783+t9511+t9655+ +t9656+t9705+t9741; + coeff_I_p3_m2_p2 = t7367+t7698+t8714+t9380+t9392+t9574+t9584; + coeff_I_m2_m1_p2 = t9482+t7524+t7065+t8645+t7622+t9506+t9663+t9782+t9818; + coeff_I_m1_m1_p2 = t9476+t9073+t7145+(t8448*z+t8404*t8639)*t9316+t9059+ +t6991+t6995+t8169+t7974+t7950+t7656+t9481+t9676; + coeff_I_0_m1_p2 = t8739*t8636+t7994+t8765*t8640+t8649+t8200+t9069+t9077+ +t9550+t9610; + coeff_I_p1_m1_p2 = t7570+t8042+t7428+t8678+t6906+t9480+t8173+t9531+t9648+ +t9739; + coeff_I_p2_m1_p2 = (t8627*y+t8543*t8635)*t9414+t7536+t7791+t9515+t8881+ +t7068+t9110+t7667+t8975+t7831+t9589+t9642+t9702; + coeff_I_p3_m1_p2 = t8706+t7664+t7981+t9319+t9419+t9569+t9573; + coeff_I_m2_0_p2 = t7900+t7734+t8749*t8637+t8680+t8640*t8989+t9117+t9521+ +t9602+t9687; + coeff_I_m1_0_p2 = t8166+t8674+t7851+t8739*t8637+t8736*t8640+t9056+t9063+ +t9586+t9610; + coeff_I_0_0_p2 = t7280+t8196+(t8623+t9251*t8613)*t8640+t8646*z+(t8393* +t9316+t8553+t9358*t8481)*t8639+t8937+t9072+t9504+t9694+t9807; + coeff_I_p1_0_p2 = t8771*t8637+t8760*t8640+t8647+t8191+t9068+t9570+t9580+ +t9641+t9765; + coeff_I_p2_0_p2 = t8754*t8640+((t8624*t8635+t8616)*t8640+t8778)*t8637+ +t8698+t8152+t7759+t9022+t9078+t9620+t9697+t9820; + coeff_I_p3_0_p2 = t7650+t8582*t9244+t8738*t8637+t8787+t9085+t9535+t9558; + coeff_I_m2_p1_p2 = t7590+t7685+t9471+t7725+t8651+t7981+t7759+t9526+t9684+ +t9692; + coeff_I_m1_p1_p2 = t8678+t6904+t8191+t7866+t7602+t8975+t9483+t9549+t9712; + coeff_I_0_p1_p2 = t7760+t8771*t8636+t8766*t8640+t8684+t8173+t8954+t9120+ +t9580+t9581; + coeff_I_p1_p1_p2 = t7501+t8663+t8196+t8169+t8166+t8200+(t8408*z+t8388* +t8639)*t9316+t7777+t9044+t9485+t9709; + coeff_I_p2_p1_p2 = t9470+t9468+t7900+(t8621*y+t8620*t8635)*t9414+t6880+ +t6852+t7049+t7756+t7950+t9564+t9691+t9785; + coeff_I_p3_p1_p2 = t7546+t8696+t7175+t7157+t9548+t9551+t9818; + coeff_I_m2_p2_p2 = t8590*t8785+t9486+t7536+t7367+t7459+t8940+t9093+t6955+ +t9076+t7699+t9511+t9714; + coeff_I_m1_p2_p2 = t7515+t7907+(t8627*x+t8543*t8638)*t9323+t7135+t8660+ +t7058+t6849+t9589+t9648+t9751+t9791+t9800; + coeff_I_0_p2_p2 = t8924+t8734*t8640+((t8624*t8638+t8616)*t8640+t8778)* +t8636+t8125+t8938+t9576+t9620+t9681+t9727+t9752+t9809; + coeff_I_p1_p2_p2 = t8679+t9468+t8081+t7931+t7827+(t8621*x+t8620*t8638)* +t9323+t7001+t7082+t6831+t9633+t9676; + coeff_I_p2_p2_p2 = (t8544*x+t8541*t8638)*t9323+t7563+t7325+t7544+t7195+ +t7344+t9059+t6932+((t8541*t8635+t8544*y)*t8640+(RATIONAL(-1.0,8.0)*t8640+t8541* +t8639+t8544*z)*t8636)*t8637+t7581+t9720+t9722+t9755+t9782+t9797; + coeff_I_p3_p2_p2 = t8544*t9021+t7451+t8731+t7007+t6962+t6949+t6861+t9066+ +t9561; + coeff_I_m2_p3_p2 = t8692+t7401+t6979+t9400+t9584+t9614+t9710; + coeff_I_m1_p3_p2 = t7147+t8709+t8020+t9372+t9381+t9565+t9569; + coeff_I_0_p3_p2 = t8582*t9395+t7461+t8738*t8636+t8700+t9035+t9558+t9629; + coeff_I_p1_p3_p2 = t7520+t8708+t7853+t7277+t7288+t9548+t9563; + coeff_I_p2_p3_p2 = t7343+t7644+t6836+t8544*t9002+t9273+t9390+t9427+t9561+ +t9583+t9822; + coeff_I_p3_p3_p2 = t7096+t7422+t7423+t6963+(t9384+t8419*z)*t9316+t9375+ +t9680+t9743; + coeff_I_m2_m2_p3 = t6969+t6967+t8639*t9099+t6950+t7715+t9050+t9335+t9559+ +t9621+t9802; + coeff_I_m1_m2_p3 = t7455+t8717+t7276+t6908+t9351+t9508+t9566; + coeff_I_0_m2_p3 = t7681+t8578*t9366+t8525*t8905+t8710+t9529+t9783+t9808; + coeff_I_p1_m2_p3 = t7408+t8732+t7156+t7587+t9359+t9520+t9554; + coeff_I_p2_m2_p3 = t7689+t8695+t7571+t9342+t9386+t9557+t9574; + coeff_I_p3_m2_p3 = t7382+t6892+t6928+t8447*t8783+t9090+t9662+t9770; + coeff_I_m2_m1_p3 = t8717+t7149+t7346+t9349+t9354+t9595+t9612; + coeff_I_m1_m1_p3 = t7438+t7952+t7620+t6864+t8448*t9108+t7880+t9336+t9348+ +t9552+t9592+t9781; + coeff_I_0_m1_p3 = t8546*t9366+t7980+t8761*t8640+t8723+t9542+t9666+t9769; + coeff_I_p1_m1_p3 = t7739+t8720+t8046+t7948+t9364+t9533+t9605; + coeff_I_p2_m1_p3 = t7640+t7731+t8728+t9369+t9387+t9573+t9575; + coeff_I_p3_m1_p3 = t7235+t7139+(t8517*y+t9300)*t9414+t8782+t9314+t9716; + coeff_I_m2_0_p3 = t7162+t8578*t9237+t8640*t9051+t8727+t9523+t9631+t9783; + coeff_I_m1_0_p3 = t7916+t8546*t9237+t8770*t8640+t8729+t9525+t9704+t9769; + coeff_I_0_0_p3 = t8116+(t8576+t9251*t8631)*t8640+t8646*t8639+t8712+t9816+ +t9817; + coeff_I_p1_0_p3 = t7964+t9088+t8748*t8640+t8699+t9539+t9730+t9792; + coeff_I_p2_0_p3 = t7282+t8582*t9237+t8755*t8640+t8719+t9535+t9779+t9790; + coeff_I_p3_0_p3 = t8528*t9244+(t9345+(t9408+t8525)*t8640)*t8637+t8779+ +t9661+t9812; + coeff_I_m2_p1_p3 = t8732+t7235+t7282+t9585+t9616+t9690+t9715; + coeff_I_m1_p1_p3 = t7964+t8720+t7726+t8064+t9369+t9534+t9613; + coeff_I_0_p1_p3 = t7948+t9081+t8776*t8640+t8716+t9507+t9637+t9792; + coeff_I_p1_p1_p3 = t8116+t7916+t7980+t8408*t9108+t9348+t9556+t9607+t9651+ +t9653+t9724; + coeff_I_p2_p1_p3 = t7141+t7162+t7914+t8711+t9336+t9551+t9562; + coeff_I_p3_p1_p3 = t7359+t7146+(t9434+t9235)*t9414+t9349+t9625+t9756+ +t9766; + coeff_I_m2_p2_p3 = t6892+t7532+t7447+t8695+t9387+t9493+t9614; + coeff_I_m1_p2_p3 = t7125+t7765+t8728+t9364+t9386+t9565+t9596; + coeff_I_0_p2_p3 = t8582*t9366+t8772*t8640+t8700+t9359+t9588+t9670+t9790; + coeff_I_p1_p2_p3 = t7620+t8708+t7946+t7273+t7681+t9512+t9562; + coeff_I_p2_p2_p3 = t8731+t6864+t6969+t6908+t8544*t9108+t7507+t9354+t9583+ +t9700; + coeff_I_p3_p2_p3 = t7543+t6967+(t9344+t8419*y)*t9414+t8781+t9352+t9743; + coeff_I_m2_p3_p3 = t6981+t7440+t8447*t8785+t8786+t9342+t9770; + coeff_I_m1_p3_p3 = t7587+t7549+t7480+(t9420+t8517*x)*t9323+t8841+t9716+ +t9759; + coeff_I_0_p3_p3 = t8635*t9287+(t9345+(t9311+t8525)*t8640)*t8636+t8779+ +t9639+t9657; + coeff_I_p1_p3_p3 = t7586+t7707+(t9308+t8509*x)*t9323+t8780+t9351+t9756; + coeff_I_p2_p3_p3 = t7053+t6950+t7422+t7332+(t9438+t9261)*t9323+t8781+ +t9361; + coeff_I_p3_p3_p3 = t6927+t7081+t8447*t9111+(t9021+(t9395+t9366)*t8637)* +t8419+t9335; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-dx.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-dx.compute.c new file mode 100644 index 0000000..a6aa8af --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-dx.compute.c @@ -0,0 +1,4354 @@ +fp t11663, + t11662, + t12309, + t11661, + t12078, + t11639, + t12045, + t11657, + t12630, + t12294, + t12273, + t11660, + t11659, + t12263, + t11989, + t12629, + t11940, + t12310, + t12043, + t12141, + t12628, + t12313, + t12627, + t12042, + t11370, + t11363, + t12056, + t11834, + t9982, + t12246, + t11980, + t12626, + t12088, + t11837, + t9901, + t11839, + t11392, + t12625, + t11368, + t12311, + t12286, + t11384, + t11907, + t9969, + t12624, + t11524, + t11380, + t11820, + t12623, + t11346, + t11475, + t12622, + t11418, + t11459, + t9990, + t12621, + t11819, + t12620, + t11604, + t11394, + t12123, + t10920, + t9924, + t11790, + t12619, + t12239, + t12618, + t11345, + t11496, + t12040, + t10052, + t12617, + t11522, + t11355, + 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t11176, + t11170, + t11167, + t11154, + t11145, + t11143, + t11135, + t11129, + t11128, + t11121, + t11120, + t11116, + t11113, + t11109, + t11083, + t11075, + t11072, + t11066, + t11063, + t11060, + t11054, + t11052, + t11018, + t11017, + t11014, + t11010, + t11001, + t10999, + t10995, + t10994, + t10976, + t10975, + t10950, + t10947, + t10945, + t10936, + t10933, + t10928, + t10921, + t10914, + t10909, + t10907, + t10903, + t10899, + t10896, + t10894, + t10893, + t10892, + t10888, + t10885, + t10883, + t10882, + t10873, + t10861, + t10851, + t10844, + t10832, + t10831, + t10830, + t10828, + t10826, + t10823, + t10820, + t10818, + t10809, + t10805, + t10804, + t10799, + t10798, + t10793, + t10788, + t10787, + t10785, + t10780, + t10778, + t10771, + t10767, + t10765, + t10756, + t10749, + t10746, + t10745, + t10733, + t10724, + t10717, + t10716, + t10707, + t10705, + t10704, + t10702, + t10694, + t10689, + t10685, + t10679, + t10676, + t10675, + t10671, + t10668, + t10653, + t10650, + t10649, + t10644, + t10635, + t10634, + t10631, + t10628, + t10624, + t10621, + t10616, + t10614, + t10613, + t10610, + t10605, + t10604, + t10599, + t10595, + t10593, + t10592, + t10587, + t10577, + t10576, + t10569, + t10552, + t10544, + t10541, + t10535, + t10532, + t10529, + t10524, + t10523, + t10517, + t10516, + t10511, + t10504, + t10501, + t10500, + t10499, + t10497, + t10488, + t10481, + t10480, + t10472, + t10471, + t10470, + t10465, + t10449, + t10448, + t10440, + t10435, + t10433, + t10428, + t10422, + t10420, + t10419, + t10410, + t10407, + t10405, + t10404, + t10402, + t10398, + t10396, + t10390, + t10389, + t10387, + t10383, + t10375, + t10373, + t10371, + t10358, + t10356, + t10346, + t10332, + t10330, + t10329, + t10327, + t10322, + t10321, + t10320, + t10317, + t10315, + t10314, + t10310, + t10308, + t10302, + t10291, + t10286, + t10280, + t10278, + t10268, + t10266, + t10264, + t10260, + t10256, + t10247, + t10244, + t10241, + t10237, + t10236, + t10234, + t10233, + t10232, + t10228, + t10223, + t10221, + t10217, + t10215, + t10198, + t10197, + t10195, + t10192, + t10183, + t10176, + t10171, + t10170, + t10167, + t10164, + t10162, + t10161, + t10157, + t10155, + t10149, + t10148, + t10146, + t10145, + t10144, + t10139, + t10135, + t10122, + t10121, + t10119, + t10117, + t10116, + t10107, + t10105, + t10103, + t10100, + t10087, + t10085, + t10078, + t10075, + t10072, + t10070, + t10067, + t10063, + t10062, + t10053, + t10045, + t10039, + t10038, + t10036, + t10024, + t10022, + t10019, + t10014, + t10006, + t10002, + t9994, + t9993, + t9992, + t9991, + t9988, + t9986, + t9981, + t9978, + t9977, + t9974, + t9967, + t9960, + t9958, + t9954, + t9946, + t9943, + t9935, + t9926, + t9919, + t9918, + t9913, + t9911, + t9909, + t9908, + t9905, + t9904, + t9902, + t9893, + t9878, + t9876, + t9853, + t9847, + t9845, + t9844, + t9843; + t11663 = z*z; + t11662 = t11663*z; + t12309 = t11662+z; + t11661 = x*x; + t12078 = t11663*t11661; + t11639 = RATIONAL(-1.0,3.0); + t12045 = t11639*t11661; + t11657 = RATIONAL(7.0,9.0); + t12630 = t12045+t11657*t12078; + t12294 = x*t11663; + t12273 = y*t12294; + t11660 = y*y; + t11659 = t11660*y; + t12263 = t11659*t11663; + t11989 = x*t12263; + t12629 = t11989+t12273; + t11940 = t12309*t11660; + t12310 = t11659+y; + t12043 = x*t12310; + t12141 = t11660*t11657; + t12628 = t12045+t11661*t12141; + t12313 = x*t11660; + t12627 = t12309*t12313; + t12042 = x*t12309; + t11370 = RATIONAL(-35.0,192.0); + t11363 = RATIONAL(49.0,576.0); + t12056 = t11659*t11661; + t11834 = t11363*t12056; + t9982 = z*t11834; + t12246 = t11660*t11661; + t11980 = z*t12246; + t12626 = t11370*t11980+t9982; + t12088 = t11662*t11661; + t11837 = t11363*t12088; + t9901 = y*t11837; + t11839 = t11660*t12088; + t11392 = RATIONAL(-49.0,288.0); + t12625 = t9901+t11392*t11839; + t11368 = RATIONAL(35.0,288.0); + t12311 = x*t11659; + t12286 = z*t12311; + t11384 = RATIONAL(-49.0,576.0); + t11907 = t11384*t12056; + t9969 = z*t11907; + t12624 = t9969+t11368*t12286; + t11524 = RATIONAL(-7.0,48.0); + t11380 = RATIONAL(49.0,144.0); + t11820 = t11380*t12246; + t12623 = t11524*t12088+t11662*t11820; + t11346 = RATIONAL(-343.0,144.0); + t11475 = RATIONAL(49.0,48.0); + t12622 = t11475*t12088+t11346*t11839; + t11418 = RATIONAL(-5.0,288.0); + t11459 = RATIONAL(7.0,576.0); + t9990 = t11459*t11839; + t12621 = t11418*t11989+t9990; + t11819 = t11380*t12078; + t12620 = t11659*t11819+t11524*t12056; + t11604 = RATIONAL(5.0,12.0); + t11394 = RATIONAL(-49.0,216.0); + t12123 = t11394*t11659; + t10920 = t11662*t12123; + t9924 = x*t10920; + t11790 = t11660*t12078; + t12619 = t9924+t11604*t11790; + t12239 = t11524*t11661; + t12618 = (t12239+t11819)*y; + t11345 = RATIONAL(245.0,144.0); + t11496 = RATIONAL(49.0,72.0); + t12040 = y*t12088; + t10052 = t11496*t12040; + t12617 = t11345*t11839+t10052; + t11522 = RATIONAL(7.0,48.0); + t11355 = RATIONAL(-49.0,144.0); + t11901 = t11355*t12078; + t12616 = t11659*t11901+t11522*t12056; + t11436 = RATIONAL(-49.0,36.0); + t11865 = t11662*t12056; + t10061 = t11436*t11865; + t12212 = t11660*t11663; + t12039 = x*t12212; + t12615 = t10061+RATIONAL(125.0,24.0)*t12039; + t11379 = RATIONAL(35.0,144.0); + t11598 = RATIONAL(7.0,72.0); + t12320 = y*t11661; + t12037 = t11598*t12320; + t10490 = t11662*t12037; + t12614 = t11379*t11839+t10490; + t11556 = RATIONAL(-5.0,72.0); + t11206 = t11556*t12212; + t12613 = t11206+t11370*t11790; + t11621 = RATIONAL(5.0,9.0); + t11421 = RATIONAL(-14.0,27.0); + t12060 = t11659*t11421; + t11029 = t11662*t12060; + t9997 = x*t11029; + t12612 = t11621*t11790+t9997; + t11395 = RATIONAL(49.0,216.0); + t12116 = t11659*t11395; + t10904 = t11662*t12116; + t9979 = x*t10904; + t11647 = RATIONAL(-1.0,6.0); + t12611 = t11647*t11790+t9979; + t12610 = t11370*t11839+t10490; + t12224 = t11659*t11662; + t10822 = RATIONAL(-49.0,1728.0)*t12224; + t12031 = x*t12224; + t12609 = t10822+t11355*t12031; + t12608 = RATIONAL(-140.0,9.0)*t11790+RATIONAL(224.0,27.0)*t12031; + t11538 = RATIONAL(14.0,9.0); + t12607 = t9997+t11538*t11790; + t12606 = (t11820+t12239)*z; + t11654 = RATIONAL(7.0,3.0); + t11554 = RATIONAL(28.0,9.0); + t12605 = t11554*t11989+t11654*t12294; + t12233 = t11556*t11663; + t11494 = RATIONAL(7.0,216.0); + t12291 = y*t11662; + t11000 = t11494*t12291; + t12604 = y*t12233+t11000; + t11488 = RATIONAL(-7.0,216.0); + t12185 = t11488*t11659; + t11050 = z*t12185; + t11489 = RATIONAL(7.0,108.0); + t12156 = t11489*t11659; + t11026 = t11663*t12156; + t12603 = t11050+t11026; + t12307 = y*t11663; + t11515 = RATIONAL(-1.0,18.0); + t12030 = t11515*t12307; + t11569 = RATIONAL(1.0,36.0); + t12013 = t11569*t12320; + t10586 = t11662*t12013; + t12602 = t11661*t12030+t10586; + t11520 = RATIONAL(-1.0,36.0); + t10503 = t11520*t11839; + t12075 = t11494*t11663; + t10981 = t11659*t12075; + t10205 = x*t10981; + t12601 = t10503+t10205; + t11512 = RATIONAL(35.0,72.0); + t12079 = t11660*t11512; + t11025 = t11662*t12079; + t11585 = RATIONAL(-7.0,36.0); + t12193 = t11585*t11663; + t11250 = t11659*t12193; + t10520 = t11661*t11250; + t12600 = x*t11025+t10520; + t11521 = RATIONAL(7.0,27.0); + t12140 = t11521*t11662; + t11619 = RATIONAL(-1.0,9.0); + t11336 = t11619*t11662; + t12599 = t11660*t12140+t11336; + t12209 = t11494*t11659; + t11082 = z*t12209; + t11495 = RATIONAL(-7.0,108.0); + t12219 = t11659*t11495; + t11064 = t11663*t12219; + t12598 = t11082+t11064; + t11426 = RATIONAL(-7.0,432.0); + t12160 = t11659*t11426; + t11951 = x*t12160; + t11365 = RATIONAL(7.0,1728.0); + t12243 = t11659*t11365; + t10919 = z*t12243; + t12597 = z*t11951+t10919; + t11586 = RATIONAL(2.0,27.0); + t12206 = t11586*t11662; + t11215 = y*t12206; + t11590 = RATIONAL(-5.0,54.0); + t12049 = t11590*t11663; + t12596 = t11215+y*t12049; + t11577 = RATIONAL(1.0,72.0); + t10729 = t11577*t12040; + t12322 = x*y; + t11534 = RATIONAL(-1.0,54.0); + t12254 = t11534*t11662; + t10669 = t12254*t12322; + t12595 = t10729+t10669; + t11593 = RATIONAL(-7.0,24.0); + t11610 = RATIONAL(7.0,54.0); + t10416 = t11610*t12031; + t12594 = t10416+t11593*t11790; + t11561 = RATIONAL(-40.0,9.0); + t11607 = RATIONAL(32.0,9.0); + t12041 = z*t12056; + t10456 = t11607*t12041; + t12593 = t11561*t11980+t10456; + t11330 = t11515*z; + t12274 = x*t11330; + t10424 = z*t12037; + t12592 = y*t12274+t10424; + t11440 = RATIONAL(-49.0,72.0); + t10079 = t11440*t12041; + t11537 = RATIONAL(7.0,12.0); + t12591 = t11537*t11980+t10079; + t11620 = RATIONAL(4.0,9.0); + t11337 = t11620*y; + t11960 = t11661*t11337; + t10833 = t11662*t11960; + t11630 = RATIONAL(-5.0,9.0); + t12102 = t11630*t11663; + t11261 = y*t12102; + t12590 = t11661*t11261+t10833; + t11415 = RATIONAL(16.0,27.0); + t12319 = z*t11659; + t11061 = t11415*t12319; + t11519 = RATIONAL(-10.0,9.0); + t12150 = t11519*t11663; + t12589 = t11061+t11659*t12150; + t11568 = RATIONAL(-1.0,27.0); + t12300 = z*t11568; + t11208 = y*t12300; + t12588 = t11208+RATIONAL(-25.0,16.0)*t12039; + t11501 = RATIONAL(7.0,144.0); + t10255 = t11501*t11790; + t10409 = t11534*t12031; + t12587 = t10255+t10409; + t12108 = t11520*t11663; + t12586 = y*t12108+t11000; + t12136 = t11585*t11660; + t11961 = z*t12136; + t10502 = t11598*t12041; + t12585 = t11661*t11961+t10502; + t11581 = RATIONAL(5.0,72.0); + t12584 = t11581*t11790+t10409; + t11455 = RATIONAL(-1.0,288.0); + t12073 = t11455*t11663; + t11074 = t11659*t12073; + t11500 = RATIONAL(1.0,576.0); + t11806 = t11500*t12056; + t10133 = z*t11806; + t12583 = t10133+t11661*t11074; + t11628 = RATIONAL(-2.0,9.0); + t12318 = z*t11660; + t12091 = t11659*t11521; + t11153 = z*t12091; + t12582 = t11628*t12318+t11153; + t11812 = t11604*t12078; + t10800 = t11628*t12041; + t12581 = t10800+t11659*t11812; + t11498 = RATIONAL(1.0,144.0); + t11314 = t11498*t11659; + t11986 = x*t11314; + t11511 = RATIONAL(-7.0,576.0); + t11796 = t11511*t12088; + t10033 = t11660*t11796; + t12580 = t11663*t11986+t10033; + t11443 = RATIONAL(-56.0,27.0); + t11635 = RATIONAL(8.0,9.0); + t11338 = t11635*t11659; + t12579 = t11443*t12263+t11338; + t12186 = t11520*t11661; + t12018 = y*t12186; + t10601 = t11662*t12018; + t12578 = t11647*t11839+t10601; + t11474 = RATIONAL(1.0,216.0); + t12153 = t11474*t11659; + t11007 = z*t12153; + t11479 = RATIONAL(-1.0,108.0); + t12152 = t11479*t11660; + t12577 = t11007+z*t12152; + t11882 = t11511*t12056; + t10156 = z*t11882; + t11557 = RATIONAL(-7.0,96.0); + t11817 = t11557*t12078; + t12576 = t10156+t11659*t11817; + t11448 = RATIONAL(1.0,432.0); + t11995 = t11448*t12313; + t11438 = RATIONAL(-1.0,576.0); + t11813 = t11438*t12056; + t12575 = t11663*t11813+t11662*t11995; + t12038 = y*t12078; + t10553 = t11607*t12040; + t12574 = t11561*t12038+t10553; + t12312 = t11628*y; + t12001 = t11661*t12312; + t10889 = z*t12001; + t11583 = RATIONAL(5.0,27.0); + t12270 = t11583*t12322; + t12573 = t10889+z*t12270; + t11589 = RATIONAL(1.0,27.0); + t10677 = t11589*t12031; + t12572 = t11426*t12212+t10677; + t11427 = RATIONAL(-98.0,27.0); + t10166 = t11427*t12031; + t12571 = t10166+RATIONAL(14.0,3.0)*t11790; + t11476 = RATIONAL(5.0,432.0); + t12187 = t11476*t11660; + t12290 = t11479*z; + t11057 = t11659*t12290; + t12570 = z*t12187+t11057; + t11441 = RATIONAL(40.0,27.0); + t12321 = z*t12322; + t12317 = z*t11661; + t12284 = y*t12317; + t11555 = RATIONAL(-16.0,9.0); + t10478 = t11555*t12284; + t12569 = t11441*t12321+t10478; + t11580 = RATIONAL(-7.0,18.0); + t11988 = t11421*t12313; + t12568 = t11662*t11988+t11580*t12313; + t12567 = t12630*t11659; + t11319 = t11580*t11662; + t12126 = t11488*t11662; + t11093 = y*t12126; + t12566 = t11093+t11319*t12322; + t12101 = t11459*t11661; + t12035 = z*t12101; + t10263 = t11659*t12035; + t11606 = RATIONAL(7.0,96.0); + t11892 = t11606*t12078; + t12565 = t11659*t11892+t10263; + t12289 = t11589*z; + t11155 = t11659*t12289; + t11547 = RATIONAL(-2.0,27.0); + t12303 = z*t11547; + t12564 = t11660*t12303+t11155; + t11510 = RATIONAL(-7.0,288.0); + t11027 = t11510*t12263; + t12563 = t11661*t11027+t10263; + t10224 = y*t12035; + t12323 = y*z; + t11503 = RATIONAL(-1.0,144.0); + t12288 = x*t11503; + t12562 = t10224+t12288*t12323; + t11597 = RATIONAL(-4.0,27.0); + t12081 = t11659*t11597; + t11106 = t11662*t12081; + t12148 = t11583*t11663; + t12561 = t11106+t11659*t12148; + t11567 = RATIONAL(1.0,54.0); + t12135 = t11567*t11662; + t12000 = x*t12135; + t10699 = t11659*t12000; + t11497 = RATIONAL(-5.0,144.0); + t12560 = t10699+t11497*t11790; + t11523 = RATIONAL(1.0,18.0); + t11320 = t11523*t11659; + t11233 = t11663*t11320; + t10611 = t11661*t11233; + t12324 = x*z; + t12173 = t11488*t11660; + t12559 = t10611+t12173*t12324; + t10795 = t11620*t12041; + t12558 = t10795+t11630*t11980; + t12256 = t11500*t11661; + t12029 = y*t12256; + t10110 = z*t12029; + t11456 = RATIONAL(-1.0,432.0); + t12301 = x*t11456; + t12277 = z*t12301; + t12557 = t10110+y*t12277; + t12223 = t11479*t11663; + t10998 = t11659*t12223; + t12090 = t11474*t11662; + t10996 = t11659*t12090; + t12556 = t10998+t10996; + t11424 = RATIONAL(5.0,576.0); + t12261 = t11424*t11660; + t11354 = RATIONAL(-7.0,1728.0); + t12231 = t11354*t11659; + t10937 = z*t12231; + t12555 = t10937+z*t12261; + t11432 = RATIONAL(7.0,864.0); + t12167 = t11432*t11662; + t12019 = x*t12167; + t10273 = t11659*t12019; + t11472 = RATIONAL(-5.0,192.0); + t12554 = t10273+t11472*t11790; + t11558 = RATIONAL(-8.0,27.0); + t11974 = t11558*t12311; + t11425 = RATIONAL(35.0,36.0); + t12553 = t11662*t11974+t11425*t11790; + t11574 = RATIONAL(-7.0,72.0); + t12552 = t11574*t11790+t10699; + t10953 = t11662*t12209; + t12551 = x*t10953+t11515*t11790; + t11422 = RATIONAL(1.0,108.0); + t12070 = t11422*t11662; + t10956 = t11659*t12070; + t12162 = t11568*t11662; + t12009 = x*t12162; + t12550 = t10956+t11659*t12009; + t11608 = RATIONAL(16.0,3.0); + t11508 = RATIONAL(-112.0,9.0); + t12549 = t11608*t12088+t11508*t11839; + t11407 = RATIONAL(-7.0,144.0); + t11832 = t11407*t12246; + t11592 = RATIONAL(1.0,48.0); + t12548 = t11592*t12088+t11662*t11832; + t11587 = RATIONAL(5.0,18.0); + t11127 = t11587*t12294; + t10740 = t11660*t11127; + t10762 = t11585*t11865; + t12547 = t10740+t10762; + t12215 = t11586*t11659; + t11230 = z*t12215; + t12080 = t11660*t11590; + t12546 = t11230+z*t12080; + t12110 = t11511*t11661; + t12015 = y*t12110; + t10153 = z*t12015; + t11463 = RATIONAL(7.0,288.0); + t12221 = t11463*t11660; + t11822 = t11661*t12221; + t12545 = z*t11822+t10153; + t11130 = t11662*t12136; + t11536 = RATIONAL(7.0,36.0); + t11793 = t11536*t12056; + t10681 = t11663*t11793; + t12544 = t10681+x*t11130; + t11042 = t11479*t12291; + t12089 = t11476*t11663; + t12543 = y*t12089+t11042; + t11430 = RATIONAL(-35.0,54.0); + t12142 = t11660*t11430; + t11067 = t11662*t12142; + t11611 = RATIONAL(-7.0,27.0); + t11178 = t11611*t12291; + t12542 = t11067+t11178; + t11514 = RATIONAL(80.0,9.0); + t11923 = t11663*t12056; + t10709 = RATIONAL(-64.0,9.0)*t11865; + t12541 = t11514*t11923+t10709; + t11655 = RATIONAL(2.0,9.0); + t11969 = t11655*t12320; + t10794 = z*t11969; + t11616 = RATIONAL(-5.0,27.0); + t12268 = t11616*t12324; + t12540 = t10794+y*t12268; + t12252 = t11547*t11659; + t11254 = z*t12252; + t11596 = RATIONAL(5.0,54.0); + t12157 = t11596*t11660; + t12539 = t11254+z*t12157; + t10758 = t11585*t12041; + t11543 = RATIONAL(7.0,18.0); + t11922 = t11543*t12078; + t12538 = t10758+t11659*t11922; + t11410 = RATIONAL(35.0,54.0); + t12072 = t11410*t11663; + t11003 = t11659*t12072; + t12537 = t11029+t11003; + t11815 = t11659*t12102; + t12536 = t10800+t11661*t11815; + t11478 = RATIONAL(-1.0,864.0); + t12051 = t11478*t11663; + t11404 = RATIONAL(1.0,1728.0); + t12120 = t11404*t11662; + t10897 = y*t12120; + t12535 = t10897+y*t12051; + t11311 = t11498*t11662; + t12137 = t11426*t11662; + t10958 = t11660*t12137; + t12534 = t11311+t10958; + t12190 = t11592*t11661; + t12533 = (t11832+t12190)*z; + t11458 = RATIONAL(98.0,27.0); + t10042 = t11458*t12031; + t12532 = RATIONAL(-35.0,3.0)*t11790+t10042; + t12166 = t11611*t11660; + t11652 = RATIONAL(1.0,9.0); + t11341 = t11652*t11662; + t12531 = t11341+t11662*t12166; + t11626 = RATIONAL(7.0,6.0); + t12244 = t11626*t11661; + t11435 = RATIONAL(-49.0,18.0); + t12530 = z*t12244+t11435*t11980; + t11469 = RATIONAL(-5.0,216.0); + t11985 = t11469*t12311; + t12113 = t11569*t11660; + t11827 = t11661*t12113; + t10597 = t11662*t11827; + t12529 = t10597+t11663*t11985; + t10988 = t11663*t12160; + t12528 = t11314+t10988; + t10887 = t11662*t11969; + t12527 = t10887+t11621*t11839; + t11539 = RATIONAL(-35.0,6.0); + t11518 = RATIONAL(-70.0,9.0); + t11161 = t11518*t12313; + t12526 = t11662*t11161+t11539*t12313; + t11409 = RATIONAL(-28.0,27.0); + t12525 = t11620*z+t11409*t12318; + t11433 = RATIONAL(56.0,27.0); + t11624 = RATIONAL(-8.0,9.0); + t11333 = t11624*t11662; + t12262 = t11660*t11662; + t12524 = t11333+t11433*t12262; + t12523 = y*t12190+t11407*t12038; + t11461 = RATIONAL(-35.0,18.0); + t11623 = RATIONAL(-7.0,9.0); + t12074 = t11623*t11661; + t10801 = t12074*t12323; + t12522 = t11461*t11980+t10801; + t10898 = t11659*t12120; + t12114 = t11478*t11662; + t12521 = t11660*t12114+t10898; + t11506 = RATIONAL(1.0,288.0); + t12164 = t11506*t11660; + t12520 = t11663*t12164+t11557*t11790; + t10051 = t11496*t12041; + t11535 = RATIONAL(-7.0,12.0); + t12519 = t10051+t11535*t11980; + t10608 = z*t12018; + t11434 = RATIONAL(5.0,216.0); + t12265 = t11434*t12324; + t12518 = t10608+y*t12265; + t11866 = t11501*t12078; + t11525 = RATIONAL(-1.0,48.0); + t12182 = t11525*t11661; + t12517 = (t12182+t11866)*y; + t11640 = RATIONAL(1.0,6.0); + t12154 = t11640*t11661; + t11921 = t11580*t12078; + t12516 = (t11921+t12154)*y; + t12218 = t11659*t11611; + t11199 = z*t12218; + t12515 = t11199+t11621*t12318; + t11312 = t11498*y; + t12514 = t11426*t12307+t11312; + t11993 = t11577*t12317; + t10726 = y*t11993; + t12513 = t10726+t11534*t12321; + t10165 = y*t11796; + t12512 = t10165+t11662*t11822; + t11644 = RATIONAL(-7.0,3.0); + t11563 = RATIONAL(49.0,9.0); + t12511 = t11563*t11923+t11644*t12056; + t11417 = RATIONAL(49.0,36.0); + t10076 = t11417*t11865; + t11447 = RATIONAL(-25.0,12.0); + t10199 = t11447*t12039; + t12510 = t10076+t10199; + t11603 = RATIONAL(-49.0,9.0); + t12509 = t11654*t12088+t11603*t11839; + t10450 = t11574*t12041; + t12508 = t11536*t11980+t10450; + t12036 = t11574*t12320; + t10753 = z*t12036; + t11564 = RATIONAL(5.0,36.0); + t12275 = t11564*t12322; + t12507 = z*t12275+t10753; + t11545 = RATIONAL(20.0,3.0); + t11791 = t11545*t12078; + t11531 = RATIONAL(-32.0,9.0); + t10467 = t11531*t12041; + t12506 = t11659*t11791+t10467; + t11486 = RATIONAL(-1.0,216.0); + t12055 = t11486*t11662; + t11037 = y*t12055; + t12149 = t11422*t11663; + t12505 = y*t12149+t11037; + t12053 = t11354*t11662; + t10929 = t11659*t12053; + t12175 = t11432*t11659; + t12504 = t10929+t11663*t12175; + t12241 = t11647*t11661; + t12503 = z*t12241+t11543*t11980; + t10782 = RATIONAL(49.0,1728.0)*t12224; + t11366 = RATIONAL(-35.0,576.0); + t12502 = t11366*t12262+t10782; + t11851 = t11569*t12056; + t10575 = z*t11851; + t11795 = t11640*t12078; + t12501 = t11659*t11795+t10575; + t10732 = t11662*t12036; + t12103 = t11536*t11663; + t12023 = y*t12103; + t12500 = t11661*t12023+t10732; + t11533 = RATIONAL(56.0,9.0); + t11618 = RATIONAL(-8.0,3.0); + t12238 = t11618*t11661; + t12499 = z*t12238+t11533*t11980; + t10980 = RATIONAL(32.0,27.0)*t12224; + t11408 = RATIONAL(-40.0,27.0); + t12498 = t10980+t11408*t12262; + t11471 = RATIONAL(14.0,27.0); + t12127 = t11471*t11662; + t11059 = t11659*t12127; + t10243 = x*t11059; + t12497 = t11623*t11790+t10243; + t12076 = t11489*t11660; + t11090 = t11662*t12076; + t12496 = t11093+t11090; + t11423 = RATIONAL(35.0,48.0); + t11579 = RATIONAL(-7.0,54.0); + t12098 = t11579*t11662; + t11978 = x*t12098; + t10446 = t11659*t11978; + t12495 = t10446+t11423*t11790; + t11550 = RATIONAL(-5.0,12.0); + t12494 = t10887+t11550*t11839; + t10997 = y*t12090; + t12493 = y*t12223+t10997; + t11548 = RATIONAL(35.0,9.0); + t10483 = t11538*t12041; + t12492 = t11548*t11923+t10483; + t12205 = t11536*t11660; + t11118 = t11662*t12205; + t12491 = t11118+t10920; + t12165 = t11660*t11495; + t10970 = t11662*t12165; + t11800 = t11569*t12078; + t10394 = t11659*t11800; + t12490 = x*t10970+t10394; + t11641 = RATIONAL(-4.0,9.0); + t11804 = t11641*t12056; + t10870 = z*t11804; + t12489 = t11621*t11980+t10870; + t12010 = x*t12114; + t12488 = t11506*t11790+t11659*t12010; + t11444 = RATIONAL(20.0,27.0); + t11449 = RATIONAL(-16.0,27.0); + t10966 = t11449*t12291; + t12487 = t11444*t12307+t10966; + t11229 = y*t12289; + t12486 = t11229+RATIONAL(-25.0,27.0)*t12039; + t10869 = t11662*t11804; + t11453 = RATIONAL(25.0,54.0); + t12485 = t10869+t11453*t12039; + t11615 = RATIONAL(4.0,27.0); + t12100 = t11615*t11662; + t11158 = t11659*t12100; + t12083 = t11616*t11663; + t12484 = t11659*t12083+t11158; + t11653 = RATIONAL(5.0,6.0); + t11982 = t11653*t12294; + t12483 = t10061+t11660*t11982; + t10791 = t11657*t12284; + t11406 = RATIONAL(35.0,18.0); + t12482 = t10791+t11406*t11980; + t11217 = t11589*t12291; + t12199 = t11547*t11663; + t12481 = y*t12199+t11217; + t11457 = RATIONAL(-7.0,864.0); + t12255 = t11457*t11659; + t12004 = x*t12255; + t10335 = t11662*t12004; + t11551 = RATIONAL(1.0,96.0); + t12480 = t11551*t11790+t10335; + t11334 = t11641*y; + t12012 = t11661*t11334; + t10891 = t11662*t12012; + t11845 = t11621*t12078; + t12479 = t10891+y*t11845; + t11643 = RATIONAL(1.0,3.0); + t11825 = t11660*t12074; + t12478 = t11643*t12088+t11662*t11825; + t10808 = t11652*t12284; + t12477 = t11597*t12321+t10808; + t12476 = t11641*t11839+x*t11003; + t10574 = t11520*t11980; + t10556 = t11659*t11993; + t12475 = t10574+t10556; + t12057 = t11547*t11662; + t11249 = y*t12057; + t12228 = t11596*t11663; + t12474 = y*t12228+t11249; + t10736 = t11536*t11839; + t12473 = x*t11250+t10736; + t11465 = RATIONAL(5.0,108.0); + t12472 = t10503+t11465*t11989; + t11649 = RATIONAL(-7.0,6.0); + t12471 = t10758+t11649*t11923; + t11077 = t11434*t12212; + t10600 = t11520*t11865; + t12470 = x*t11077+t10600; + t12025 = x*t12262; + t9898 = t11370*t11923; + t12172 = t11660*t11587; + t11959 = z*t12172; + t12469 = t11379*t12025+t9898+x*t11959; + t11491 = RATIONAL(-70.0,27.0); + t12468 = RATIONAL(-160.0,27.0)*t12031+t11491*t12212+RATIONAL(140.0,9.0)* +t11790; + t11386 = RATIONAL(140.0,27.0); + t11401 = RATIONAL(245.0,54.0); + t11600 = RATIONAL(-20.0,3.0); + t12467 = t11386*t12273+t11600*t11839+t11401*t11989; + t11358 = RATIONAL(-140.0,27.0); + t11364 = RATIONAL(280.0,27.0); + t11560 = RATIONAL(-80.0,9.0); + t12466 = t11560*t11839+t11364*t11989+t11358*t12273; + t12280 = z*t12313; + t12465 = t11386*t12280+t11600*t11923+t11401*t12025; + t11387 = RATIONAL(35.0,192.0); + t9971 = t11387*t11839; + t11381 = RATIONAL(-35.0,288.0); + t11594 = RATIONAL(-5.0,36.0); + t10546 = t11594*t12273; + t12464 = t9971+t10546+t11381*t11989; + t11393 = RATIONAL(-245.0,54.0); + t11617 = RATIONAL(8.0,3.0); + t12463 = t12072*t12322+t11617*t11839+t11393*t11989; + t12139 = t11430*t11663; + t11092 = t11659*t12139; + t12033 = x*t12139; + t12462 = y*t12033+t11635*t11839+x*t11092; + t11197 = t11558*t12323; + t11566 = RATIONAL(-28.0,9.0); + t10496 = t11566*t11865; + t12461 = t11197+RATIONAL(125.0,18.0)*t12039+t10496; + t10783 = t11657*t12031; + t12460 = RATIONAL(-245.0,48.0)*t11790+t11379*t12212+t10783; + t12259 = t11556*t11660; + t11228 = z*t12259; + t12459 = y*t11127+t11379*t11989+t11228; + t10759 = t11604*t11839; + t11402 = RATIONAL(-49.0,108.0); + t12458 = t10759+t11421*t12273+t11402*t11989; + t11431 = RATIONAL(70.0,27.0); + t12457 = t11431*t12212+t11561*t12031+RATIONAL(245.0,36.0)*t11790; + t11612 = RATIONAL(-5.0,18.0); + t12298 = x*t11612; + t11966 = t11662*t12298; + t10660 = t11659*t11966; + t12086 = t11610*t11663; + t12456 = t11660*t12086+t10660+t11380*t11790; + t11317 = t11407*t11659; + t11997 = x*t11317; + t10129 = t11662*t11997; + t11473 = RATIONAL(-5.0,576.0); + t12119 = t11473*t11663; + t12455 = t10129+t11387*t11790+t11660*t12119; + t11403 = RATIONAL(-35.0,144.0); + t11826 = t11403*t12262; + t9942 = t11661*t11826; + t12454 = t11652*t11989+x*t12030+t9942; + t11829 = t11379*t12078; + t9873 = t11659*t11829; + t12204 = t11564*t11660; + t10406 = t12204*t12324; + t12453 = t11660*t11966+t9873+t10406; + t11383 = RATIONAL(35.0,216.0); + t12011 = t11383*t12311; + t9915 = t11662*t12011; + t12044 = t11581*t11660; + t11171 = t11663*t12044; + t12452 = t9915+t11171+t11550*t11790; + t10018 = t11461*t12031; + t12451 = RATIONAL(245.0,48.0)*t11790+t11406*t12212+t10018; + t12085 = t11660*t11410; + t12450 = t12085*t12324+t11393*t12025+t11617*t11923; + t11507 = RATIONAL(-35.0,12.0); + t10066 = t11507*t11839; + t11385 = RATIONAL(245.0,72.0); + t12034 = t11548*t12294; + t12449 = t11385*t11989+t10066+y*t12034; + t12054 = t11523*t11660; + t12448 = t11501*t12025+t9898+t12054*t12324; + t11352 = RATIONAL(-35.0,216.0); + t11977 = t11352*t12311; + t12447 = t11663*t11977+t10759+t12083*t12322; + t9975 = t11662*t11977; + t11236 = t11660*t12108; + t12446 = t9975+t11236+t11640*t11790; + t11546 = RATIONAL(5.0,96.0); + t12445 = RATIONAL(-35.0,32.0)*t11790+t11380*t12031+t11546*t12212; + t11571 = RATIONAL(16.0,9.0); + t11367 = RATIONAL(35.0,108.0); + t12444 = t11571*t12031+RATIONAL(-245.0,36.0)*t11790+t11367*t12212; + t11792 = t11550*t12078; + t10641 = t11659*t11792; + t12306 = x*t11662; + t11972 = t11395*t12306; + t12279 = t11521*t12324; + t12443 = t10641+(t11972+t12279)*t11660; + t11371 = RATIONAL(-245.0,72.0); + t10834 = t11626*t11839; + t12092 = t11512*t11663; + t12442 = t11371*t11989+t10834+t12092*t12322; + t10864 = t11626*t11923; + t12441 = t10864+t11371*t12025+t12079*t12324; + t11595 = RATIONAL(-1.0,72.0); + t12308 = t11595*y; + t11984 = t11661*t12308; + t10468 = z*t11984; + t12315 = t11422*y; + t10003 = t12315*t12324; + t12245 = t10468+t10003; + t12440 = t12245+RATIONAL(-49.0,864.0)*t12031+RATIONAL(5.0,32.0)*t11790; + t11517 = RATIONAL(5.0,48.0); + t11981 = t11517*t12313; + t12226 = t11037+t11474*t12307; + t12439 = t11663*t11907+t11662*t11981+t12226; + t11968 = t11381*t12306; + t9984 = t11659*t11968; + t12438 = t11663*t12113+t9984+t11606*t11790; + t11376 = RATIONAL(49.0,108.0); + t11828 = t11647*t12078; + t10811 = t11659*t11828; + t12437 = t12165*t12324+t11376*t12025+t10811; + t11532 = RATIONAL(-35.0,9.0); + t11542 = RATIONAL(70.0,9.0); + t10598 = t11532*t11923; + t12436 = t11532*t12280+t11542*t12025+t10598; + t10515 = t11521*t12031; + t11482 = RATIONAL(-35.0,48.0); + t12435 = t10515+t11482*t11790+t11403*t12212; + t12017 = x*t12205; + t10751 = t11659*t11921; + t12434 = t10751+z*t12017+x*t11118; + t10495 = t11543*t11839; + t11411 = RATIONAL(-35.0,72.0); + t12133 = t11411*t11663; + t10964 = t11659*t12133; + t12022 = x*t12133; + t12433 = x*t10964+t10495+y*t12022; + t10777 = t11623*t12031; + t12432 = RATIONAL(49.0,24.0)*t11790+t11574*t12212+t10777; + t11553 = RATIONAL(-14.0,9.0); + t12191 = t11521*t11663; + t11509 = RATIONAL(10.0,27.0); + t12014 = t11509*t12311; + t10312 = t11662*t12014; + t12431 = t11660*t12191+t11553*t11790+t10312; + t12058 = t11579*t11663; + t11139 = t11660*t12058; + t11505 = RATIONAL(-10.0,27.0); + t12295 = x*t11505; + t11994 = t11659*t12295; + t10326 = t11662*t11994; + t12430 = t11139+t11657*t11790+t10326; + t10455 = t11554*t11865; + t11541 = RATIONAL(-25.0,9.0); + t11955 = t11541*t12294; + t12429 = t11208+t11660*t11955+t10455; + t11614 = RATIONAL(-14.0,3.0); + t10000 = t11431*t12031; + t12428 = t10000+t11663*t12141+t11614*t11790; + t10722 = t11548*t11839; + t12427 = t10722+t11566*t11989+t11538*t12273; + t10037 = t11491*t12031; + t12426 = t11461*t12212+t10037+RATIONAL(35.0,3.0)*t11790; + t12006 = t11418*t12311; + t12425 = t11662*t12006+t11463*t11790+t11660*t12149; + t11454 = RATIONAL(7.0,432.0); + t12197 = t11454*t11659; + t11044 = t11663*t12197; + t12424 = t11567*t12273+t11472*t11839+x*t11044; + t11485 = RATIONAL(5.0,288.0); + t12293 = x*t11485; + t11975 = t11659*t12293; + t12272 = y*t12293; + t10292 = t11510*t11839; + t12423 = t10292+(t12272+t11975)*t11663; + t10807 = t11649*t11839; + t12422 = t10807+t11417*t11989+t12193*t12322; + t11467 = RATIONAL(35.0,12.0); + t10059 = t11467*t11839; + t12421 = t10059+t11553*t12273+t11436*t11989; + t11053 = t11663*t12152; + t12420 = t11662*t11985+t11053+t11523*t11790; + t12419 = t11455*t11790+t11660*t12051+t11448*t12031; + t12418 = t11635*t11923+x*t11067+t12142*t12324; + t10350 = t11406*t12031; + t12417 = t10350+RATIONAL(-49.0,24.0)*t11790+t11623*t12212; + t11211 = t11659*t12103; + t10651 = t11580*t11839; + t12416 = t10651+(t11211+t12023)*x; + t12003 = t11587*t12306; + t10720 = t11659*t12003; + t12415 = t11663*t12166+t10720+t11440*t11790; + t11051 = t11663*t12173; + t12024 = x*t11336; + t10865 = t11659*t12024; + t12414 = t11051+t10865+t11496*t11790; + t12117 = t11534*t11663; + t12069 = t11660*t11497; + t11811 = t11661*t12069; + t12413 = t11589*t11989+t11662*t11811+t12117*t12322; + t11544 = RATIONAL(-1.0,96.0); + t11998 = x*t12197; + t10010 = t11662*t11998; + t12412 = t11544*t11790+t10010+t11660*t12073; + t10659 = t11532*t11839; + t12411 = t10659+t11542*t11989+t11532*t12273; + t11530 = RATIONAL(7.0,24.0); + t12016 = x*t12218; + t10427 = t11662*t12016; + t12410 = t11598*t12212+t10427+t11530*t11790; + t10708 = t11515*t11839; + t12409 = x*t11026+t10708+t11489*t12273; + t11565 = RATIONAL(-5.0,96.0); + t12189 = t11418*t11663; + t12408 = t11660*t12189+t10010+t11565*t11790; + t10815 = t11659*t11845; + t12020 = t11471*t12313; + t12407 = t11409*t12025+t10815+z*t12020; + t10060 = t11467*t11923; + t12406 = t10060+t11553*t12280+t11436*t12025; + t11499 = RATIONAL(-35.0,36.0); + t11350 = RATIONAL(-35.0,108.0); + t12405 = t11350*t12212+t11415*t12031+t11499*t11790; + t12132 = t11456*t11663; + t11816 = t11661*t12164; + t12404 = t11456*t11989+t11662*t11816+t12132*t12322; + t11451 = RATIONAL(1.0,864.0); + t12096 = t11451*t11660; + t11035 = t11663*t12096; + t12403 = t11510*t11790+t11035+t11662*t11986; + t11814 = t11663*t11317; + t10603 = t11606*t11839; + t12271 = x*t11312; + t12402 = t11663*t12271+x*t11814+t10603; + t11962 = t11471*t12311; + t12214 = t11611*t11663; + t12144 = t11630*t11660; + t11786 = t11662*t12144; + t10874 = t11661*t11786; + t12401 = t12214*t12322+t10874+t11663*t11962; + t12112 = t11660*t11567; + t12201 = t11454*t11660; + t10943 = t11662*t12201; + t11875 = t11472*t12078; + t12400 = x*t10943+t12112*t12324+t11659*t11875; + t12230 = t11473*t11660; + t12399 = t9971+z*t12230+t11619*t12273+t11574*t11989; + t11999 = t11619*t12313; + t11540 = RATIONAL(-1.0,12.0); + t12398 = t11540*t12313+t11662*t11999+t12620; + t11990 = t11652*t12313; + t11420 = RATIONAL(-5.0,432.0); + t12232 = t11420*t11663; + t12397 = y*t12232+t11628*t12025+z*t11990+t9873; + t11389 = RATIONAL(-280.0,27.0); + t11588 = RATIONAL(-16.0,3.0); + t11140 = t11518*t12294; + t11490 = RATIONAL(112.0,9.0); + t12396 = t11140+t11389*t11989+t11588*t12088+t11490*t11839; + t11808 = t11403*t12078; + t9932 = t11659*t11808; + t12395 = t10450+t11662*t11990+t11660*t12274+t9932; + t12314 = z*t11404; + t10902 = t11659*t12314; + t11362 = RATIONAL(-1.0,1728.0); + t12097 = t11660*t11362; + t12394 = t10902+t9990+z*t12097+t11595*t11989; + t12393 = RATIONAL(-25.0,18.0)*t12212+t10350+RATIONAL(-175.0,48.0)*t11790+ +t11519*t12321; + t11578 = RATIONAL(5.0,24.0); + t12392 = t11578*t12313+t11660*t12003+t12616; + t12155 = t11660*t11520; + t12391 = t11659*t11866+t11525*t12056+x*t12155+t11660*t12009; + t12390 = t11383*t11989+t11469*t12273+t12578; + t11163 = z*t12155; + t10824 = t11640*t11839; + t12389 = t11350*t11989+t11163+t10824+t11465*t12273; + t11240 = t11659*t12057; + t12388 = t11660*t12049+t11240+t10720+t11403*t11790; + t10418 = t11564*t12273; + t12387 = t10418+t11612*t11989+t12614; + t12048 = t11365*t11662; + t10917 = t11659*t12048; + t11414 = RATIONAL(5.0,192.0); + t12163 = t11424*t11663; + t10204 = t11662*t11951; + t12386 = t10917+t10204+t11414*t11790+t11660*t12163; + t12184 = t11616*t11660; + t12385 = t11352*t12025+t12184*t12324+t12581; + t12384 = z*t11988+t11402*t12025+t12581; + t11224 = t11540*t12294; + t12383 = t11224+t11619*t11989+t12623; + t12382 = t11376*t11989+t11495*t12273+t12578; + t12381 = t11418*t12280+t11368*t12025+t12576; + t11055 = t11479*t12224; + t12071 = t11660*t11420; + t12380 = t11663*t12071+t11055+t10865+t11379*t11790; + t11343 = RATIONAL(-245.0,192.0); + t12258 = t11581*t11663; + t11243 = y*t12258; + t12379 = t11423*t12025+t11343*t11923+t11653*t12280+t11243; + t12170 = t11469*t11660; + t11954 = x*t12170; + t10618 = t11520*t12041; + t12378 = z*t11954+t10618+t10811+t11383*t12025; + t12021 = t11660*t12295; + t12377 = t11444*t12025+z*t12021+t12474; + t12376 = t11660*t12075+t11598*t11790+t12550; + t12032 = t11577*t12307; + t12375 = z*t12096+x*t12032+t11577*t11989+t10292; + t11437 = RATIONAL(28.0,27.0); + t12374 = t11437*t11989+t11657*t12294+t12478; + t12373 = t10708+t10586+t12629*t11434; + t11412 = RATIONAL(5.0,144.0); + t12372 = t11660*t12089+t11412*t11790+t12550; + t12211 = t11411*t11660; + t10967 = t11662*t12211; + t12371 = x*t10967+t12211*t12324+t12538; + t11149 = t11659*t12206; + t11162 = t11663*t12157; + t12370 = t11149+t11630*t11790+t11162+t10312; + t12369 = t11471*t12273+t11409*t11989+t12527; + t11973 = t11662*t12293; + t12066 = t11660*t11485; + t12368 = t12066*t12324+t11660*t11973+t12563; + t12367 = t10677+t11055+t11663*t12170+t11556*t11790; + t12366 = t11538*t12280+t11566*t12025+t12492; + t12208 = t11503*t11663; + t11313 = t11503*t11659; + t11957 = x*t11313; + t12365 = t12208*t12322+t11663*t11957+t12512; + t12364 = t11505*t11989+t12148*t12322+t12527; + t12302 = t11478*z; + t12282 = x*t12302; + t11789 = t11525*t12078; + t12363 = t10273+t10110+y*t12282+t11660*t11789; + t12316 = x*t11448; + t12267 = y*t12316; + t11799 = t11500*t12088; + t10140 = y*t11799; + t11823 = t11551*t12246; + t12362 = t11662*t11823+t10140+t11663*t12267+x*t10988; + t11439 = RATIONAL(-20.0,27.0); + t11591 = RATIONAL(25.0,9.0); + t11575 = RATIONAL(-50.0,9.0); + t12361 = t11439*t12318+t10722+t11575*t11989+t11591*t12273; + t12046 = t11498*t11660; + t12266 = z*t12316; + t12360 = t11592*t11790+y*t12266+t10204+t11663*t12046; + t10979 = t11660*t12208; + t12359 = t11522*t11790+t10129+z*t12271+t10979; + t12358 = t11127+t11509*t11989+t12478; + t11353 = RATIONAL(49.0,288.0); + t11527 = RATIONAL(-5.0,48.0); + t12008 = t11527*t12313; + t12357 = t11353*t11923+t12493+t12309*t12008; + t12356 = RATIONAL(-245.0,288.0)*t12031+t11604*t12212+RATIONAL(35.0,32.0)* +t11790+t12507; + t12130 = t11569*t11663; + t11184 = y*t12130; + t12105 = t11660*t11412; + t12355 = t11184+x*t11826+t12105*t12324+t12565; + t12248 = t11412*t11663; + t11204 = z*t12113; + t11862 = t11459*t12088; + t10253 = y*t11862; + t12354 = t11204+t10603+t10253+t12248*t12322+t11403*t11989; + t10850 = t11655*t12041; + t12353 = t10641+t11367*t12025+t11243+t10850+t11509*t12280; + t11634 = RATIONAL(5.0,2.0); + t12195 = t11550*t11663; + t12352 = t11660*t12195+RATIONAL(-245.0,216.0)*t12031+t11634*t11790+t12573 +; + t12351 = t11621*t12025+t11612*t12280+t9932+t12596; + t11842 = t11387*t12078; + t9881 = t11659*t11842; + t10931 = y*t12048; + t12350 = z*t11999+t11574*t12025+t9881+y*t12119+t10931; + t11964 = t11612*t12307; + t12349 = t11621*t11989+x*t11964+t9942+t12546; + t11374 = RATIONAL(-175.0,72.0); + t10473 = t11553*t12041; + t12348 = t10473+t11541*t12280+t10060+t11374*t12025+t11261; + t11207 = z*t12044; + t12347 = t11367*t11989+t11207+t11509*t12273+t12494; + t11344 = RATIONAL(-245.0,144.0); + t11650 = RATIONAL(5.0,3.0); + t11622 = RATIONAL(-5.0,6.0); + t12346 = t11650*t12025+t11622*t12280+t11344*t11923+t12474; + t11070 = t11662*t12219; + t12345 = RATIONAL(-25.0,144.0)*t12212+t11337*t12324+t11070+RATIONAL(175.0 +,48.0)*t11790+t10777; + t11286 = t11655*t12307; + t11493 = RATIONAL(-25.0,72.0); + t11979 = t11493*t12313; + t11356 = RATIONAL(175.0,72.0); + t12344 = t11286+t11356*t12025+z*t11979+t12471; + t11445 = RATIONAL(49.0,96.0); + t12343 = t11445*t11923+t11482*t12025+z*t11981+t12586; + t10942 = t11422*t12318; + t12104 = t11497*t11663; + t11905 = t11659*t12104; + t11992 = x*t12104; + t12342 = t10942+y*t11992+x*t11905+t12512; + t12125 = t11594*t11659; + t11160 = t11663*t12125; + t12093 = t11659*t11486; + t10940 = z*t12093; + t12341 = x*t11160+t10942+t10546+t10495+t10940; + t10748 = z*t11793; + t12340 = t11499*t12025+t11184+t10864+t10748+t10406; + t12174 = t11506*t11663; + t10961 = y*t12174; + t12339 = t10961+t11595*t12280+t11598*t12025+t12576; + t12338 = t11408*t12321+RATIONAL(-25.0,3.0)*t11790+t10000+t11059+RATIONAL( +25.0,18.0)*t12212; + t11572 = RATIONAL(10.0,3.0); + t12337 = t11660*t12102+t11572*t11790+t10037+t12540; + t9929 = t11384*t12040; + t12336 = t12577+t9929+t11353*t11839+t12629*t11527; + t10084 = t11440*t12040; + t12335 = t11650*t11989+t11622*t12273+t10084+t11344*t11839+t12539; + t10977 = t11422*t12319; + t12334 = t10977+t11628*t11989+z*t12071+t11652*t12273+t12614; + t12333 = t11465*t12280+t11350*t12025+t12501+t12586; + t11991 = t11585*t12320; + t10494 = t11662*t11991; + t12332 = t11199+t10494+t11655*t12318+t10807+t11493*t12273+t11356*t11989; + t11182 = t11594*t12212; + t11039 = t11659*t12126; + t12331 = t9975+t11182+t11039+t11653*t11790+t12540; + t11528 = RATIONAL(20.0,9.0); + t10477 = t11553*t12040; + t12330 = t10659+t11528*t11989+t12150*t12322+t10477+t12546; + t12111 = t11594*t11662; + t11245 = t11660*t12111; + t10690 = t11594*t12280; + t12329 = t10690+x*t11245+t12505+t12538; + t10701 = t11536*t12040; + t11965 = t11499*t12311; + t12328 = t10701+t11050+t10834+t11204+t11663*t11965+t10418; + t12327 = t11512*t11790+t11149+t11660*t12148+t10660+t12507; + t11470 = RATIONAL(-5.0,108.0); + t12326 = t12493+t10611+t10618+(t12280+t12025)*t11470; + t10775 = t11662*t12001; + t12325 = t10775+t11505*t12273+t11444*t11989+t10874+t12539; + t11327 = t11523*z; + t12305 = z*t11486; + t12304 = z*t11586; + t11573 = RATIONAL(1.0,12.0); + t12299 = x*t11573; + t12297 = z*t11474; + t12296 = x*t11569; + t11601 = RATIONAL(-5.0,24.0); + t12292 = x*t11601; + t12287 = x*RATIONAL(-5.0,4.0); + t12285 = x*t12291; + t12283 = t11469*t12322; + t12281 = t10701+t11394*t12285; + t12278 = t10748+t12123*t12324; + t12276 = t10494+y*t11972; + t12269 = t11418*t12322; + t10741 = t11663*t12017; + t12264 = t10762+t10741; + t10906 = t11362*t12291; + t12227 = t11404*t11663; + t12260 = y*t12227+t10906; + t11787 = t11438*t12088; + t10379 = t11659*t11787; + t12257 = t10379+t11663*t11806; + t11405 = RATIONAL(49.0,54.0); + t12253 = t11405*t11660; + t12251 = t10061+t11467*t12039; + t10323 = t11659*t11862; + t12250 = t10323+t11660*t11992; + t12249 = t11595*t11980+t10556; + t12247 = t11643*t11661; + t12242 = t11663*t12015+t10253; + t12240 = t11519*t11660; + t11021 = t11660*t12126; + t12237 = t10953+t11021; + t12236 = t11659+t11662; + t11502 = RATIONAL(25.0,72.0); + t11963 = t11502*t12294; + t12235 = t11660*t11963+t10762; + t11087 = t11660*t12305; + t12234 = t11007+t11087; + t11186 = y*t12162; + t12229 = t11589*t12307+t11186; + t12225 = t11617*t11661; + t11552 = RATIONAL(10.0,9.0); + t12222 = t11552*t11660; + t12220 = t11662*t11597; + t12217 = y*t12279+t10889; + t12216 = t11619*t11661; + t12213 = t11534*t11659; + t11970 = t11577*t12313; + t10528 = t11663*t11970; + t10158 = t11659*t11796; + t12210 = t10528+t10158; + t11307 = t11503*t11662; + t12207 = t11663*t12243+t10929; + t12128 = t11494*t11660; + t11048 = t11662*t12128; + t12203 = t11039+t11048; + t12202 = x*t11082+t10618; + t12200 = t10794+t11611*t12321; + t12198 = t12219*t12324+t10502; + t10414 = t11662*t11984; + t12196 = t11661*t12032+t10414; + t12194 = t11574*t11980+t10502; + t12192 = t11620*t11659; + t12188 = t11405*t11663; + t10378 = y*t11787; + t12183 = t10378+t11663*t12029; + t12181 = t11663*t12037+t10732; + t12177 = t11659*t11362; + t10905 = t11662*t12177; + t12180 = t10905+t11659*t12227; + t10637 = z*t12013; + t12179 = t11488*t12321+t10637; + t11428 = RATIONAL(49.0,27.0); + t12178 = t11428*t12286+t10473; + t12176 = t10775+t11661*t11286; + t11156 = t11580*t12294; + t10713 = t11660*t11156; + t10747 = t11662*t11793; + t12171 = t10713+t10747; + t11309 = t11407*t11662; + t12169 = t11610*t11662; + t12168 = t11522*t11661; + t11316 = t11501*t11662; + t11329 = t11515*t11662; + t11328 = t11543*t11662; + t11326 = t11523*t11662; + t12161 = t11567*t11659; + t12159 = t11583*t11660; + t11339 = t11635*t11662; + t11466 = RATIONAL(-49.0,54.0); + t12158 = t11466*t11663; + t12151 = z*t12016+t10850; + t11041 = t11663*t12093; + t12147 = t11041+t10996; + t11040 = t11660*t12070; + t10168 = t11407*t11790; + t12146 = t11040+t10168; + t12145 = t11649*t11661; + t12143 = t11659*t11451; + t11058 = t11660*t12297; + t12138 = t11058+t10940; + t12134 = t11659*t11615; + t11983 = x*t12076; + t10295 = t11663*t11983; + t12131 = t10600+t10295; + t11958 = t11425*t12294; + t12129 = t10762+t11660*t11958; + t10627 = z*t11827; + t10294 = x*t11021; + t12124 = t10627+t10294; + t12122 = t11466*t11660; + t12121 = t11428*t12285+t10477; + t10860 = t12216*t12323; + t12118 = t10860+t12304*t12322; + t12115 = t11660*t11455; + t10031 = t11660*t12022; + t12109 = t10031+t10747; + t12107 = t11564*t11659; + t12106 = t11534*t11660; + t11132 = t11659*t12300; + t12099 = t11660*t12289+t11132; + t12007 = t11470*t12294; + t10251 = t11660*t12007; + t10582 = t11662*t11851; + t12095 = t10251+t10582; + t12094 = t11451*t11662; + t12087 = t11620*t11660; + t12084 = t11586*t11663; + t12082 = t11457*t11662; + t11089 = t11663*t12185; + t12077 = t10953+t11089; + t12068 = t11362*t11663; + t12067 = x*t11182+t10747; + t11034 = t11486*t12307; + t12065 = t11034+t10997; + t12064 = t11662*t12097+t10898; + t11627 = RATIONAL(-2.0,3.0); + t12063 = t11627*t11661; + t12062 = t10726+t12290*t12322; + t12061 = t11660*t12048+t10929; + t12059 = t11552*t11663; + t12052 = t10732+t11489*t12285; + t12050 = t10729+x*t11042; + t11036 = t11659*t12055; + t12047 = t11663*t12153+t11036; + t11318 = t11501*t11659; + t11322 = t11515*t11659; + t11324 = t11580*t11659; + t11325 = t11543*t11659; + t11332 = t11624*t11659; + t11335 = t11619*t11659; + t11340 = t11652*t11659; + t12028 = t11659*t12298; + t12027 = x*t11316; + t12026 = t11438*t12320; + t11648 = RATIONAL(-5.0,3.0); + t11278 = t11648*t12313; + t11172 = t11660*t12300; + t11117 = y*t12140; + t10990 = y*t12070; + t12005 = t11528*t12306; + t12002 = x*t11309; + t11996 = x*t11340; + t11516 = RATIONAL(8.0,27.0); + t11987 = t11516*t12311; + t11971 = t11662*t12301; + t11306 = t11628*t12307; + t11264 = t11648*t12294; + t11241 = t11568*t12307; + t11133 = t11578*t12294; + t11076 = y*t12073; + t11956 = x*t12143; + t11952 = t11523*t12307; + t9842 = RATIONAL(343.0,576.0)*t11865; + t11480 = RATIONAL(-49.0,96.0); + t11950 = t9929+t9842+t11480*t11839; + t9980 = t11662*t11834; + t11949 = t9980+t12610; + t9936 = t11368*t12031; + t9968 = t11384*t11865; + t11948 = t9936+t11039+t9968; + t11348 = RATIONAL(245.0,192.0); + t9848 = RATIONAL(-343.0,576.0)*t11865; + t11947 = t10084+t11348*t11839+t9848; + t10349 = t11659*t12027; + t11946 = t10917+t10349+t9968; + t11945 = t10076+t11346*t11923+t11475*t12056; + t11944 = t11318*t12324+t9969+t10919; + t11943 = t10701+(t12168+t11901)*y; + t11942 = t11557*t11980+t10153+t9982; + t11941 = t11355*t11980+z*t12168+t10748; + t11939 = t12310*t11663; + t11938 = t11355*t11839+t11522*t12088+t10747; + t11937 = t10165+t9980+t11557*t11839; + t11397 = RATIONAL(49.0,432.0); + t11936 = t11070+t11317+t11397*t12263; + t11850 = t11414*t12078; + t10521 = t11595*t12041; + t11935 = t10521+t11659*t11850+t10158; + t11098 = t11662*t12085; + t11934 = t11098+t11029+t11117; + t11933 = t11326+t11149+t11660*t12098; + t11932 = t11328+t11059+t11662*t12122; + t11931 = t11029+t11324+t11659*t12188; + t11008 = t11662*t12156; + t11390 = RATIONAL(-49.0,432.0); + t11930 = t11316+t11008+t11390*t12262; + t10959 = t11415*t12291; + t11929 = t11409*t12307+t11337+t10959; + t11928 = t11341*t12322+t10494+t10990; + t10941 = y*t12305; + t11927 = t10941+t12592; + t11926 = t10582+t11592*t12056+t11661*t11814; + t11925 = t11082+t11579*t12286+t10502; + t11924 = t10775+(t12241+t11922)*y; + t11920 = t11659*t12248; + t11919 = t11130+t11093+t10904; + t10392 = z*t12026; + t11861 = t11544*t12078; + t11918 = y*t11861+t10392+t10253; + t10911 = z*t12177; + t11917 = t10911+t10917+t11074; + t11890 = t11663*t12074; + t11916 = t10833+(t12247+t11890)*y; + t11915 = t10496+t12511; + t11914 = t10956+t10762+t11662*t11996; + t10594 = t11531*t12040; + t11913 = y*t12238+t10594+t11533*t12038; + t11912 = t11117+t10967+t10904; + t10789 = t11620*t11865; + t11911 = t10789+t12536; + t11910 = t11644*t12088+t11563*t11839+t10496; + t10910 = t11362*t12323; + t11909 = t11076+t10931+t10910; + t11908 = t11249+(t11515+t12086)*y; + t11906 = t11322+t11240+t11659*t12086; + t10915 = y*t12053; + t11904 = t10929+t11660*t12167+t10915; + t11576 = RATIONAL(-10.0,3.0); + t10493 = t11571*t12284; + t10489 = t11538*t12040; + t11903 = t11576*t12038+t10493+t10489; + t11450 = RATIONAL(49.0,18.0); + t11902 = t11450*t12038+y*t12145+t10477; + t10760 = RATIONAL(64.0,9.0)*t11865; + t11900 = t11608*t12056+t11508*t11923+t10760; + t11899 = t11523*t11839+t10600+t10601; + t11898 = t11510*t12262+t10782+t10915; + t11019 = y*t12297; + t11897 = t11019+t12513; + t11896 = t11325+t11659*t12158+t11059; + t11895 = t10980+t11339+t11443*t12262; + t11894 = t11106+t11663*t12091+t11335; + t11893 = t11320+t11149+t11659*t12058; + t11513 = RATIONAL(40.0,9.0); + t11891 = t11513*t12038+t10594+t10493; + t11889 = t11229+t12604; + t10475 = t11567*t12321; + t11888 = t10941+t10475+t10468; + t11123 = t11663*t11322; + t11887 = t10575+t10582+t11661*t11123; + t11886 = z*t12145+t10473+t11450*t11980; + t11885 = t10455+t11654*t12056+t11603*t11923; + t11884 = t11019+t11327*t12322+t10753; + t11883 = t11229+t11594*t12321+t10424; + t11881 = t11313+t11055+t11044; + t11880 = t10455+t12509; + t11879 = y*t12009+t10990+t10586; + t11878 = t11230+t11579*t12318+t11327; + t10948 = RATIONAL(-32.0,27.0)*t12224; + t11877 = t11061+t11441*t12263+t10948; + t11504 = RATIONAL(-25.0,36.0); + t11876 = t11208+t10747+t11504*t12039; + t11043 = t11449*t12319; + t11151 = t11516*t12323; + t11874 = t11043+t11151+t11444*t12318; + t11873 = t11332+t11433*t12263+t10948; + t11613 = RATIONAL(-56.0,9.0); + t11872 = z*t12225+t11613*t11980+t10456; + t11871 = t11397*t12262+t11070+t11309; + t11870 = y*t12244+t10489+t11435*t12038; + t11869 = z*t12154+t11580*t11980+t10850; + t11868 = t11093+t10732+t12169*t12322; + t11867 = t11025+t11178+t10920; + t11864 = t10076+t10483+t11507*t11923; + t11863 = y*t12225+t11613*t12038+t10553; + t11860 = t11329+t11240+t11660*t12169; + t11030 = t11659*t12149; + t11859 = t11030+t11036+t10940; + t11858 = t11340+t11158+t11659*t12214; + t11857 = t11254+t11610*t12318+t11330; + t11856 = t11550*t12246; + t11855 = t11008+t11318+t11390*t12263; + t11854 = t10891+t12630*y; + t11853 = t11215+(t11523+t12058)*y; + t11852 = t10869+t12567; + t11849 = t10869+t12628*t11662; + t10377 = z*t11813; + t11848 = t10377+t10323+t11659*t11861; + t10985 = t11463*t12263; + t11847 = t10156+t10158+t11661*t10985; + t10457 = y*t11800; + t11846 = t10457+t10468+t10414; + t11844 = t11501*t11980+z*t12182+t10618; + t11462 = RATIONAL(-35.0,24.0); + t11843 = t10051+t10791+t11462*t11980; + t11169 = t11662*t12204; + t11841 = t10911+t10905+t11663*t12143; + t11080 = t11660*t12055; + t11840 = t10392+t11661*t10961+t10378; + t11838 = t11050+t11610*t12286+t10450; + t11836 = t11319+t11029+t11662*t12253; + t11835 = t11544*t12246; + t10901 = y*t12314; + t11833 = t11660*t12302+t10902+t10901; + t11831 = t11643*t12056+t11659*t11890+t10789; + t11830 = t11307+t11055+t10943; + t11824 = t10795+(t12247+t11825)*z; + t10136 = t11659*t11799; + t11821 = t11455*t11839+t10136+t10140; + t11818 = t10977+t11498*z+t11426*t12318; + t11460 = RATIONAL(35.0,24.0); + t11810 = t11460*t11980+t10079+t10801; + t11809 = t11551*t12078; + t11805 = t11662*t12105; + t11259 = t11641*t12263; + t11274 = t11663*t12192; + t11226 = t11663*t12107; + t11802 = t10870+t12628*z; + t11012 = t11663*t12066; + t11022 = t11659*t12092; + t10972 = t11659*t12174; + t11801 = t11459*t12078; + t11798 = t11520*t12078; + t11797 = t11661*t12087; + t11794 = t11660*t12132; + t11788 = t11643*t12078; + t11785 = x*t11939; + t11784 = x*t11940; + t11783 = t11530*t11661+t11652; + t11782 = t11519+t11507*t11661; + t11602 = RATIONAL(-1.0,24.0); + t11781 = RATIONAL(-1.0,8.0)*t11661+t11602; + t11780 = RATIONAL(5.0,16.0)*t11661+t11517; + t11778 = t11523+t12045; + t11777 = t12239+t11515; + t11776 = t11602*t11661+t11595; + t11775 = RATIONAL(7.0,8.0)*t11661+t11643; + t11774 = t11585+t11535*t11661; + t11773 = t11553+RATIONAL(28.0,3.0)*t11661; + t11772 = t12190+t11498; + t11771 = RATIONAL(-5.0,1.0)*t11661+t11653; + t11769 = t11564+t11604*t11661; + t11768 = t11527+RATIONAL(35.0,16.0)*t11661; + t11767 = t11503+t12168; + t11766 = RATIONAL(-49.0,12.0)*t11661+t11536; + t11765 = t11543+t12158; + t11582 = RATIONAL(1.0,24.0); + t11764 = RATIONAL(-7.0,8.0)*t11661+t11582; + t11763 = RATIONAL(-35.0,16.0)*t11661+t11622; + t11762 = t11600*t11661+t11552; + t11761 = RATIONAL(49.0,12.0)*t11661+t11538; + t11760 = t12122+t11543; + t11759 = RATIONAL(2.0,1.0)*t11661+t11639; + t11758 = t11593*t11661+t11577; + t11757 = t11467*t11661+t11594; + t11637 = RATIONAL(2.0,3.0); + t11756 = t11637*t11661+t11619; + t10305 = t11660*t12033; + t11755 = t10305+t11661*t11259+t10789+x*t11098; + t11754 = x*t11064+t10597+t12131; + t10088 = t11663*t11882; + t10097 = x*t10979; + t11753 = t10323+t11498*t12025+t10088+t10097; + t11752 = t11662*t11954+t10394+t12470; + t10258 = t11659*t11801; + t10267 = x*t11012; + t11751 = t10258+t10267+t10158+t11418*t12025; + t10743 = t11585*t11839; + t11750 = t10743+x*t11022+t12109; + t10115 = x*t11794; + t11749 = t10136+t10115+t11660*t11787+t11448*t11989; + t10710 = t11659*t11798; + t10124 = x*t11048; + t10208 = x*t11051; + t11748 = t10710+t10124+t10582+t10208; + t11468 = RATIONAL(25.0,96.0); + t10351 = t11468*t12039; + t11747 = t11660*t11968+t9881+t10690+t9968+t10450+t10351; + t9858 = RATIONAL(-350.0,27.0)*t12039; + t11746 = t11358*t12280+t10467+t11364*t12025+t9858+t10760+t11560*t11923; + t9891 = RATIONAL(-175.0,24.0)*t12039; + t11745 = t11548*t12280+t9891+t11385*t12025+t11864; + t9962 = RATIONAL(490.0,27.0)*t12039; + t11744 = t11389*t12025+t11490*t11923+t11588*t12056+t11161+t10709+t9962; + t10426 = t11663*t12008; + t11743 = t12189*t12322+t11368*t11989+t10426+t11937; + t11742 = x*t11952+t11501*t11989+t10426+t11949; + t11741 = t11384*t11839+t9980+t11517*t11989+t10426+t12138; + t9947 = RATIONAL(-175.0,18.0)*t12039; + t11740 = t10166+t10455+t11433*t12321+RATIONAL(25.0,3.0)*t11790+t9947+ +t10478; + t11739 = t12191*t12322+t11395*t11989+t12109+t12494; + t11738 = t11660*t11788+t10608+t9924+t11494*t12321+t12171; + t11737 = RATIONAL(343.0,216.0)*t12031+RATIONAL(-5.0,2.0)*t11790+t12200+ +t12251; + t11736 = t10824+t12075*t12322+t11394*t11989+t10586+t12264; + t11735 = t12128*t12324+t11394*t12025+t12264+t12501; + t9874 = RATIONAL(245.0,18.0)*t12039; + t11734 = t9874+t11539*t12294+t11659*t11140+t11910; + t11733 = t9979+t11622*t11790+t12129+t12217; + t11732 = t10031+t11133+t11659*t11127+t11938; + t11731 = t10741+t11355*t11790+t11663*t12201+t11914; + t10655 = t11582*t12039; + t11730 = t12046*t12324+t10655+t9968+t11660*t12002+t12565; + t11729 = t11241+t11217+t11662*t11979+t10681+t12235; + t11728 = x*t11920+t10033+t12234+t12250; + t11419 = RATIONAL(-49.0,27.0); + t10048 = t11419*t12039; + t11727 = x*t12141+t11437*t12025+t10048+t11831; + t11726 = t12166*t12324+t10305+t11662*t12020+t11911; + t11725 = t10743+x*t11226+t12067+t12234; + t11724 = t10528+t11847+t12288*t11940; + t11723 = t11172+t11155+t11493*t11989+t10736+t12235; + t11722 = t11589*t12025+t10521+t11661*t11905+t12106*t12324+t12095; + t11721 = x*t11805+t10088+t12065+t12250; + t11720 = t10258+t10897+y*t12068+t11595*t12025+t12210; + t11719 = x*t11169+t10520+t12065+t12067; + t11718 = x*t12172+t10305+t11509*t12025+t11831; + t10591 = x*t11139; + t11717 = x*t11090+t10591+z*t11983+t11887; + t11716 = t10251+t11887+t11434*t12627; + t11477 = RATIONAL(-25.0,48.0); + t11715 = t10416+t11477*t11790+t12303*t12322+t10808+t12235; + t10374 = t11474*t12039; + t11714 = t10374+t10377+t10379+t11661*t10972+(t11971+t12277)*t11660; + t11429 = RATIONAL(35.0,27.0); + t10325 = t11429*t12039; + t11713 = t10869+t11519*t11790+t10243+t10325+t12200; + t10191 = t11405*t12039; + t11712 = t10191+t11421*t11989+t11156+t11849; + t11711 = z*t11995+t11659*t11809+t10133+x*t10958+t12210; + t10648 = t11603*t12039; + t11710 = t11554*t12025+t11654*t12313+t10648+t11885; + t11709 = t11501*t11839+t11525*t12088+x*t12108+t11568*t11989+t12131; + t11708 = t11546*t11790+t10335+t12062+t12250; + t11707 = t10710+t11465*t12025+t12095+t12226; + t11706 = t10446+t11578*t11790+t12062+t12067; + t11705 = t10815+t11662*t12021+t12159*t12324+t10850+t12485; + t10827 = t11649*t12039; + t11704 = t10076+t10827+t11417*t12025+x*t11961+t12471; + t10540 = t11660*t12034; + t11703 = t11576*t11790+t10540+t10042+t10496+t12217; + t10364 = x*t11089; + t11702 = t11488*t12273+t10295+t10364+t11899; + t10342 = t11477*t12039; + t11701 = t10953+t9980+t9984+RATIONAL(35.0,96.0)*t11790+t11663*t12204+ +t10342+t11883; + t11700 = t11151+y*t11955+z*t12144+t11374*t11989+t10059+t11153+t10477+ +t12615; + t10698 = t11660*t11133; + t11699 = t11397*t12031+t10698+t10822+t11565*t12212+t9968+RATIONAL(-5.0, +32.0)*t11790+t11897; + t11698 = t11050+t9842+t11207+t11343*t11839+y*t11982+t10052+t11423*t11989+ +t12588; + t11697 = t11019+t10698+t11524*t11790+z*t12269+t10224+t11515*t12212+t11948 +; + t10840 = RATIONAL(5.0,8.0)*t12039; + t11696 = t9901+t10941+t11082+t11163+t11482*t11989+t11445*t11839+t9848+ +t10840+t11517*t12273; + t11695 = t10698+t11012+RATIONAL(-35.0,96.0)*t11790+t11884+t11946; + t11694 = t11655*t11989+t10713+t11938+t11640*t12294+t11057+(t12201+t11503) +*z; + t11492 = RATIONAL(-49.0,48.0); + t11347 = RATIONAL(343.0,144.0); + t11693 = t11662*t11278+t11660*t12287+t11347*t11923+t11492*t12056+t11853+ +t12251; + t11692 = x*t11786+t11550*t12313+t11908+t12129+t12620; + t11599 = RATIONAL(50.0,9.0); + t11559 = RATIONAL(25.0,6.0); + t11691 = t11043+t11437*t12318+t11559*t12294+t11641*z+t11599*t11989+t9947+ +t11880; + t11690 = t11334+t11599*t12025+t11437*t12307+t10966+t11559*t12313+t9947+ +t11885; + t10619 = t11660*t11224; + t11689 = z*t12164+t10937+t10901+t10619+t11595*t12273+t11598*t11989+t11937 +; + t11688 = t10941+t10953+t11663*t12054+z*t12283+t9915+t11639*t11790+t10637+ +t12547; + t11687 = t11347*t11839+t11492*t12088+t11663*t12287+t11659*t11264+t11878+ +t12251; + t11686 = t11640*t12313+t11503*y+t11454*t12307+t11042+t11655*t12025+t12171 ++t12616; + t11685 = t10959+t11439*t12307+t11575*t12025+t11591*t12280+t12461+t12492; + t11684 = t12623+t11857+t12129+(t12195+t11815)*x; + t11683 = t11439*t12025+x*t12144+t10325+t11852+t11853; + t11682 = t11659*t11958+t10066+t11082+t11229+t11228+t10489+t12059*t12322+ +t12510; + t11681 = t11070+t10515+t11206+t11601*t11790+t11888+t12547; + t11680 = y*t12084+t10748+t11876+t10751+t11186+t11502*t12627; + t11679 = t12222*t12324+t10199+t11425*t12025+t11864+t11889; + t11678 = x*t12102+t10325+t11439*t11989+t11849+t11878; + t10584 = x*t11162; + t11677 = t11019+t11470*t11989+y*t12007+t10584+t11899+t12577; + t11526 = RATIONAL(-20.0,9.0); + t11676 = t11278+t10540+t11526*t12025+t11908+t11915; + t11675 = t11264+t11526*t11989+t10540+t11857+t11910; + t10562 = x*t11171; + t11674 = t10941+t11497*t12025+t12069*t12324+t10562+t11847+t12505; + t11673 = t10473+t12240*t12324+t11660*t12005+t10598+t12429+t12596; + t11672 = RATIONAL(25.0,48.0)*t11790+t10860+t11008+RATIONAL(25.0,144.0)* +t12212+t10427+t11615*t12321+t11876; + t11671 = t10740+t11077+t11411*t11790+t11914+t11927; + t10609 = x*t11236; + t11670 = t10906+t10609+t11451*t12307+t10323+t10910+t12563+t12309*t11970; + t11669 = t10701+t11660*t12304+t10651+t11132+t11876+t12310*t11963; + t11668 = t11660*t12083+t10326+t11240+t10789+t11552*t11790+t12486+t12573; + t11667 = t11621*t12212+t11460*t11790+t11059+t10018+t11883+t12510; + t11666 = t11008+t11171+t10783+t11462*t11790+t11884+t12483; + t11656 = RATIONAL(1.0,8.0); + t11645 = RATIONAL(4.0,3.0); + t11638 = RATIONAL(-1.0,4.0); + t11636 = RATIONAL(-4.0,3.0); + t11633 = RATIONAL(-2.0,1.0); + t11629 = RATIONAL(5.0,1.0); + t11625 = RATIONAL(1.0,2.0); + t11609 = RATIONAL(98.0,9.0); + t11605 = RATIONAL(-28.0,3.0); + t11570 = RATIONAL(-5.0,16.0); + t11562 = RATIONAL(25.0,8.0); + t11549 = RATIONAL(-25.0,6.0); + t11484 = RATIONAL(-80.0,27.0); + t11481 = RATIONAL(-25.0,54.0); + t11452 = RATIONAL(80.0,27.0); + t11446 = RATIONAL(-25.0,96.0); + t11416 = RATIONAL(-35.0,27.0); + t11413 = RATIONAL(25.0,12.0); + t11400 = RATIONAL(175.0,54.0); + t11399 = RATIONAL(-392.0,27.0); + t11398 = RATIONAL(392.0,27.0); + t11396 = RATIONAL(-175.0,54.0); + t11391 = RATIONAL(-175.0,96.0); + t11388 = RATIONAL(-35.0,432.0); + t11382 = RATIONAL(35.0,576.0); + t11378 = RATIONAL(196.0,27.0); + t11377 = RATIONAL(100.0,27.0); + t11375 = RATIONAL(-112.0,27.0); + t11373 = RATIONAL(-100.0,27.0); + t11372 = RATIONAL(175.0,96.0); + t11369 = RATIONAL(200.0,27.0); + t11361 = RATIONAL(-196.0,27.0); + t11360 = RATIONAL(112.0,27.0); + t11359 = RATIONAL(343.0,54.0); + t11357 = RATIONAL(-343.0,54.0); + t11351 = RATIONAL(35.0,432.0); + t11349 = RATIONAL(-200.0,27.0); + t11299 = t11641*t12262; + t11280 = t11621*t12307; + t11271 = t11662*t12087; + t11253 = t11660*t12100; + t11251 = t11662*t12157; + t11247 = t11663*t12134; + t11244 = t11659*t12049; + t11239 = t11659*t12258; + t11223 = t11662*t12054; + t11218 = t11663*t12081; + t11214 = t11660*t12220; + t11205 = t11663*t12161; + t11202 = t11662*t12112; + t11200 = t11659*t12228; + t11193 = t11662*t12113; + t11192 = t11662*t12044; + t11191 = t11660*t12057; + t11188 = t11659*t12130; + t11183 = t11659*t12059; + t11179 = t11662*t12240; + t11176 = t11662*t12184; + t11170 = t11659*t12199; + t11167 = t11659*t12108; + t11154 = t11660*t12206; + t11145 = t11662*t12106; + t11143 = t11662*t12155; + t11135 = t11662*t12080; + t11129 = t11662*t12159; + t11128 = t11662*t12222; + t11121 = t11659*t12084; + t11120 = t11659*t12233; + t11116 = t11660*t11329; + t11113 = t11662*t12259; + t11109 = t11659*t12117; + t11083 = t11659*t12119; + t11075 = t11660*t12082; + t11072 = t11662*t12071; + t11066 = t11662*t12261; + t11063 = t11660*t12090; + t11060 = z*t12115; + t11054 = t11662*t12115; + t11052 = t11441*t12262; + t11018 = t11662*t12221; + t11017 = t11662*t12230; + t11014 = t11662*t12187; + t11010 = t11663*t12255; + t11001 = y*t12163; + t10999 = t11659*t12163; + t10995 = t11662*t12152; + t10994 = t11408*t12263; + t10976 = t11659*t12089; + t10975 = t11660*t12094; + t10950 = t11662*t12164; + t10947 = t11659*t12051; + t10945 = t11659*t12232; + t10936 = t11660*t12120; + t10933 = t11660*t12314; + t10928 = t11351*t12263; + t10921 = t11660*t12053; + t10914 = t11663*t12231; + t10909 = t11659*t12068; + t10907 = t11382*t12263; + t10903 = t11388*t12263; + t10899 = t11351*t12262; + t10896 = t11388*t12262; + t10894 = t11382*t12262; + t10893 = t11366*t12263; + t10892 = t11663*t11960; + t10888 = t11628*t11980; + t10885 = t11663*t12012; + t10883 = t11662*t11797; + t10882 = t11655*t11980; + t10873 = t11335*t12324; + t10861 = t11338*t12324; + t10851 = t11339*t12322; + t10844 = t11624*t11839; + t10832 = t11618*t11923; + t10831 = t11647*t11980; + t10830 = y*t11828; + t10828 = t11640*t11980; + t10826 = t11645*t11980; + t10823 = t11618*t11839; + t10820 = t11636*t11980; + t10818 = t11645*t12038; + t10809 = y*t12024; + t10805 = t11661*t11306; + t10804 = t11636*t12038; + t10799 = z*t11797; + t10798 = t11641*t11980; + t10793 = t11334*t12324; + t10788 = y*t11795; + t10787 = z*t11996; + t10785 = t11333*t12322; + t10780 = t11624*t11923; + t10778 = t11332*t12324; + t10771 = t11661*t11274; + t10767 = t11578*t12038; + t10765 = t12111*t12322; + t10756 = x*t11117; + t10749 = t11662*t12270; + t10746 = t11616*t12285; + t10745 = z*t11856; + t10733 = t11326*t12322; + t10724 = y*t11798; + t10717 = x*t11132; + t10716 = t11587*t12286; + t10707 = t12100*t12322; + t10705 = t11526*t12285; + t10704 = y*t11817; + t10702 = t11516*t12285; + t10694 = t12161*t12324; + t10689 = t11583*t12286; + t10685 = t11659*t12268; + t10679 = x*t11217; + t10676 = t11661*t11964; + t10675 = x*t11155; + t10671 = t11322*t12324; + t10668 = t11526*t12286; + t10653 = z*t12028; + t10650 = y*t12005; + t10649 = t11662*t12275; + t10644 = x*t11178; + t10635 = y*t11809; + t10634 = t11604*t11980; + t10631 = z*t11835; + t10628 = t11662*t11835; + t10624 = t11555*t12031; + t10621 = t11577*t11980; + t10616 = t11537*t12038; + t10614 = t11606*t11980; + t10613 = t11663*t12036; + t10610 = t11578*t11980; + t10605 = t11523*t11980; + t10604 = t11661*t11952; + t10599 = y*t11966; + t10595 = t11573*t12038; + t10593 = t11515*t11980; + t10592 = t12213*t12324; + t10587 = t11545*t11839; + t10577 = t11587*t12038; + t10576 = t11662*t11987; + t10569 = t11663*t11984; + t10552 = t11558*t12285; + t10544 = t11514*t11839; + t10541 = t11535*t12038; + t10535 = z*t11987; + t10532 = y*t12003; + t10529 = z*t11823; + t10524 = t11325*t12324; + t10523 = t12220*t12322; + t10517 = t11601*t12038; + t10516 = t11601*t11980; + t10511 = y*t11978; + t10504 = t11552*t12321; + t10501 = t12125*t12324; + t10500 = y*t11812; + t10499 = x*t11153; + t10497 = y*t11792; + t10488 = t11576*t11980; + t10481 = t11572*t12038; + t10480 = t11572*t11980; + t10472 = t11329*t12322; + t10471 = t11513*t12031; + t10470 = t11324*t12324; + t10465 = y*t11892; + t10449 = t11320*t12324; + t10448 = t12081*t12324; + t10440 = t11612*t11980; + t10435 = z*t11974; + t10433 = t11663*t11991; + t10428 = t11328*t12322; + t10422 = t11528*t12286; + t10420 = t11540*t11980; + t10419 = t11513*t11980; + t10410 = t12134*t12324; + t10407 = y*t12000; + t10405 = t11540*t12038; + t10404 = t11661*t11959; + t10402 = t11573*t11980; + t10398 = t11598*t11980; + t10396 = t12107*t12324; + t10390 = t11509*t12285; + t10389 = t11451*t12321; + t10387 = t11662*t11956; + t10383 = z*t11956; + t10375 = z*t11816; + t10373 = t11480*t11923; + t10371 = t12094*t12322; + t10358 = x*t11057; + t10356 = t11472*t11980; + t10346 = t11505*t12285; + t10332 = z*t11994; + t10330 = z*t12004; + t10329 = x*t11039; + t10327 = t11434*t12031; + t10322 = t11307*t12322; + t10321 = t11497*t12038; + t10320 = t11662*t11957; + t10317 = t11455*t11980; + t10315 = t11659*t11971; + t10314 = z*t12272; + t10310 = z*t12014; + t10308 = t12060*t12324; + t10302 = x*t11000; + t10291 = y*t12010; + t10286 = t11412*t11980; + t10280 = z*t11811; + t10278 = t11661*t11805; + t10268 = t11421*t12285; + t10266 = x*t10977; + t10264 = t11461*t12038; + t10260 = y*t11801; + t10256 = t11406*t12038; + t10247 = z*t11957; + t10244 = t11660*t11799; + t10241 = z*t11962; + t10237 = t11510*t11980; + t10236 = t11510*t12038; + t10234 = z*t11965; + t10233 = t11663*t12026; + t10232 = t11659*t12266; + t10228 = t12156*t12324; + t10223 = t11500*t11980; + t10221 = t11661*t11920; + t10217 = t11659*t12265; + t10215 = t11414*t11839; + t10198 = z*t11985; + t10197 = t11434*t12285; + t10195 = t11412*t12038; + t10192 = t11662*t12269; + t10183 = x*t11093; + t10176 = z*t11997; + t10171 = t11659*t11973; + t10170 = x*t11050; + t10167 = t11662*t12283; + t10164 = y*t11973; + t10162 = t11459*t11980; + t10161 = t12127*t12322; + t10157 = z*t11975; + t10155 = z*t11986; + t10149 = t11484*t12285; + t10148 = t11463*t12038; + t10146 = t12082*t12322; + t10145 = t11661*t11076; + t10144 = t11311*t12322; + t10139 = y*t11971; + t10135 = t11659*t12277; + t10122 = y*t12002; + t10121 = t11416*t12286; + t10119 = t11659*t12282; + t10117 = t11438*t11980; + t10116 = t12175*t12324; + t10107 = y*t11875; + t10105 = y*t11850; + t10103 = y*t12019; + t10100 = t11454*t12285; + t10087 = t11460*t12038; + t10085 = t11425*t12285; + t10078 = t11425*t12286; + t10075 = t11662*t12267; + t10072 = t11419*t12286; + t10070 = t11443*t12321; + t10067 = t11419*t12285; + t10063 = t11429*t12285; + t10062 = t11429*t12286; + t10053 = t11462*t12038; + t10045 = y*t12027; + t10039 = t11414*t11980; + t10038 = t11484*t12286; + t10036 = x*t10990; + t10024 = t11416*t12285; + t10022 = t11452*t12286; + t10019 = z*t12006; + t10014 = t11499*t12285; + t10006 = t11511*t11980; + t10002 = t11495*t12285; + t9994 = t12137*t12322; + t9993 = t11449*t12031; + t9992 = z*t11998; + t9991 = t11452*t12285; + t9988 = RATIONAL(49.0,864.0)*t12031; + t9986 = t11392*t11923; + t9981 = t11381*t12286; + t9978 = t12116*t12324; + t9977 = t11387*t11980; + t9974 = z*t11977; + t9967 = RATIONAL(-224.0,27.0)*t12031; + t9960 = RATIONAL(160.0,27.0)*t12031; + t9958 = t11352*t12285; + t9954 = t11379*t11980; + t9946 = t11403*t11980; + t9943 = t11368*t12285; + t9935 = y*t11842; + t9926 = t11360*t12285; + t9919 = y*t11808; + t9918 = z*t12011; + t9913 = t11663*t11834; + t9911 = t11375*t12285; + t9909 = t11383*t12285; + t9908 = y*t11829; + t9905 = t11370*t12038; + t9904 = t11360*t12286; + t9902 = y*t11968; + t9893 = t11660*t11837; + t9878 = t11375*t12286; + t9876 = t11390*t12031; + t9853 = t11345*t11923; + t9847 = RATIONAL(245.0,288.0)*t12031; + t9845 = t11348*t11923; + t9844 = RATIONAL(-343.0,216.0)*t12031; + t9843 = RATIONAL(245.0,216.0)*t12031; + coeff_dx_m2_m2_m2 = t10947+t11821+(t11448+t11498*t11661)*t12212+t10317+ +t10145+t10135+t10139+(t11053+(t11939+t11940)*t11474)*x+t10315+t11833+t12521+ +t12535+t12557+t12583; + coeff_dx_m1_m2_m2 = t10171+t10314+t10164+t11674+t10148+t10157+t11663* +t12106+t11859+t12146+t12342+t12545; + coeff_dx_0_m2_m2 = t11717+t10593+t10329+t10170+t10183+t11652*t11790+ +t12179+t12409+t12602; + coeff_dx_p1_m2_m2 = t10995+(t11567+t12216)*t12212+t10605+t12326+t10217+ +t10197+t10604+t10327+t11677+t12518+t12556; + coeff_dx_p2_m2_m2 = t10236+t10255+t10320+t10975+t10253+t10247+t10237+ +t11670+t11794+t10322+t11841+t12375+t12562; + coeff_dx_p3_m2_m2 = t11714+t10371+t10383+t10389+t10387+t10375+t11503* +t11790+t11840+t12404; + coeff_dx_m2_m1_m2 = t10407+t10215+t10039+t11674+t11066+t10475+t9992+x* +t11241+t10364+t11846+t12408+t12504+t12555; + coeff_dx_m1_m1_m2 = t9986+t9981+t11113+t11701+t11468*t11784+t10765+t10433 ++t12459+t12481+t12598+t12610+t12626; + coeff_dx_0_m1_m2 = t11733+t10756+t10775+t9978+t10892+t10634+t12371+t12458 +; + coeff_dx_p1_m1_m2 = t10746+t12331+t9974+t10885+t11192+t11680+t10745+ +t12347+t12603; + coeff_dx_p2_m1_m2 = t11010+t11695+t11017+t10733+t9977+t11944+t12357+ +t12399+t12500; + coeff_dx_p3_m1_m2 = t10356+t11708+t10330+t10724+t12050+t12368+t12424; + coeff_dx_m2_0_m2 = t11717+t11109+t11776*t11663+((t11523+t12215)*t11663+ +t12309*t11520)*x+t10717+t11818+t12376+t12533+t12534+t12548; + coeff_dx_m1_0_m2 = t10716+t11247+t11783*t11663+t11684+t11578*t12042+ +t11860+t12371+t12415+t12606; + coeff_dx_0_0_m2 = t10308+t10789+t11663*t12063+t10780+t10048+(t11580+ +t12253)*t12042+t11824+t12374+t12607; + coeff_dx_p1_0_m2 = t11587*t12042+t11218+t11756*t11663+t11678+t10310+ +t11802+t11933+t12418+t12431; + coeff_dx_p2_0_m2 = t11205+t10873+t11758*t11663+t11540*t12042+t11694+ +t11830+t11941+t12414+t12434; + coeff_dx_p3_0_m2 = t11582*t12078+t10294+t10694+t11577*t12042+t11709+ +t11844+t12552+t12559; + coeff_dx_m2_p1_m2 = t11205+t10584+t12326+t10278+t11014+t11897+t10675+ +t10600+t10724+(t12252+t11589*y)*t12294+t10286+t12367+t12570+t12595; + coeff_dx_m1_p1_m2 = t12327+t9946+t10653+t11218+t11680+t11135+t10649+ +t12349+t12500; + coeff_dx_0_p1_m2 = t10241+t10644+t10885+t11713+t12369+t12418+t12489; + coeff_dx_p1_p1_m2 = t10749+t11247+t10332+t11251+t10780+t11668+t10892+ +t12325+t11453*t11784+t12481+t12558; + coeff_dx_p2_p1_m2 = t11109+t9954+t10787+t10433+t11072+t11671+t12329+ +t10472+t12334; + coeff_dx_p3_p1_m2 = t10036+t11716+t10003+t10592+t10280+t11846+t12413+ +t12584; + coeff_dx_m2_p2_m2 = t11010+t10917+t10205+t10075+t10631+t11060+t11054+ +t10628+t11670+x*t11034+t11840+t12360+t12597; + coeff_dx_m1_p2_m2 = t10236+t11193+t10614+t11697+t10192+t12354+t12357+ +t12603+t12624; + coeff_dx_0_p2_m2 = t11738+t10302+t10831+t10604+t12278+t12382+t12434; + coeff_dx_p1_p2_m2 = t11688+t11143+t10828+t9918+t10167+t12329+t12389+ +t12598+t12602; + coeff_dx_p2_p2_m2 = t9986+t10176+t10950+t10144+t11689+t10148+t11582* +t11784+t11942+t12359+t12504+t12535; + coeff_dx_p3_p2_m2 = t10116+t11724+t10291+t10145+t10529+t12362+t12363; + coeff_dx_m2_p3_m2 = t11714+t10244+t10933+t10936+t10223+t10232+x*t11041+ +t11841+t12419; + coeff_dx_m1_p3_m2 = t10006+t10019+t11080+t11728+t12368+t12425+t12556; + coeff_dx_0_p3_m2 = t11754+t12124+t12202+t12551+t12559; + coeff_dx_p1_p3_m2 = t11058+t11063+t11716+t10198+t10574+t11859+t12420+ +t12472; + coeff_dx_p2_p3_m2 = t10947+t11724+t10155+t10162+t12064+t12394+t12403; + coeff_dx_p3_p3_m2 = t10119+t10117+t11451*t11784+t11749+t12488+t12583; + coeff_dx_m2_m2_m1 = t11001+t11888+t10100+t10105+t10999+x*t11172+t12342+ +t11904+t10940+t12124+t10694+t11935+t10562+t12408; + coeff_dx_m1_m2_m1 = t9905+t11701+t11468*t11785+t11120+t10501+t10970+t9902 ++t12469+t12564+t12585+t12604+t12625; + coeff_dx_0_m2_m1 = t10500+t11733+t10799+t10499+t12276+t12384+t12433; + coeff_dx_p1_m2_m1 = t11669+t12331+t10497+t11239+t10798+t10685+t9958+ +t12353+t12496; + coeff_dx_p2_m2_m1 = t11695+t12336+t10449+t10045+t9935+t11083+t11075+ +t12350+t12508; + coeff_dx_p3_m2_m1 = t10146+t11708+t10253+t10107+t10358+t12400+t12423+ +t12475; + coeff_dx_m2_m1_m1 = t10893+t11925+t11949+t9876+t11889+t10511+t10517+ +t10516+(RATIONAL(25.0,64.0)*t11661+RATIONAL(25.0,192.0))*t12212+t10342+t12459+ +t12469+t12477+t12502; + coeff_dx_m1_m1_m1 = t11022+(RATIONAL(-175.0,64.0)*t11661+RATIONAL(-25.0, +24.0))*t12212+t11280+t10085+t11197+t9847+((t11391*t11659+t11447*y)*t11663+( +t11447*z+RATIONAL(125.0,32.0)*t11663+t11391*t11662)*t11660)*x+t10504+t10078+ +t9845+t10087+t11810+t11867+t11947+t12515; + coeff_dx_0_m1_m1 = t11745+t10070+t10488+t9844+t10067+t10072+RATIONAL(25.0 +,4.0)*t11790+t11903+t12449; + coeff_dx_p1_m1_m1 = t9843+t11700+t10481+t10480+t10063+t10964+t10062+( +RATIONAL(25.0,24.0)+RATIONAL(-25.0,4.0)*t11661)*t12212+t11912+t12348+t12569; + coeff_dx_p2_m1_m1 = t10470+t10894+t10907+t10793+t10053+(RATIONAL(-25.0, +192.0)+RATIONAL(175.0,64.0)*t11661)*t12212+t11698+t11843+t12379+t12566+t12609; + coeff_dx_p3_m1_m1 = t10767+t11747+t10228+t9988+t10610+RATIONAL(-25.0,64.0 +)*t11790+t12052+t12118+t12464; + coeff_dx_m2_0_m1 = t11226+(t11655*z+t11536*t11662)*x+t11780*t11663+t11684 ++t10535+t11871+t12384+t12435+t12503; + coeff_dx_m1_0_m1 = t11745+t10668+t11763*t11663+(t11462*t11662+t11648*z+( +t11562+t11559*t11659)*t11663)*x+t11932+t12451+t12525+t12530+t12589+t12622; + coeff_dx_0_0_m1 = t11629*t12078+t9904+((t11357*t11660+t11450)*t11662+( +t11554+t11361*t11660)*z)*x+t11734+t12499+t12506+t12532; + coeff_dx_p1_0_m1 = (t11461*t11662+t11526*z)*x+t11771*t11663+t11183+t11691 ++t10038+t11836+t11872+t12426+t12465; + coeff_dx_p2_0_m1 = t11160+t11687+t10861+(t11537*t11662+t11637*z)*x+t11768 +*t11663+t11886+t11930+t12406+t12460; + coeff_dx_p3_0_m1 = t10448+t11570*t12078+(t11574*t11662+t11619*z)*x+t11732 ++t11869+t12443+t12495; + coeff_dx_m2_p1_m1 = t10896+t11160+t10767+t11672+t10440+t10435+t11868+ +t12349+t12353; + coeff_dx_m1_p1_m1 = (t11413*y+t11549*t11659)*t12294+t10422+t12348+t10014+ +t11934+t11183+t11874+t10053+t12393+t12482+t12615+t12617; + coeff_dx_0_p1_m1 = t9878+t11740+t10481+t12121+t12411+t12465+t12593; + coeff_dx_p1_p1_m1 = t12361+t11280+t10419+t12338+t10024+t11903+(t11396* +t11662+t11373*z)*t12313+t10022+t12461+t12506+t12542+t12589; + coeff_dx_p2_p1_m1 = t10899+t11226+t11679+t10428+t10778+t10087+t12335+ +t12345+t12522; + coeff_dx_p3_p1_m1 = t10404+t10410+t11715+t10517+t10002+t12385+t12387; + coeff_dx_m2_p2_m1 = t11699+t9994+t10907+t11018+t10402+t10107+t11838+ +t12350+t12354; + coeff_dx_m1_p2_m1 = t12356+t11919+t10234+t9935+(t11372*t11659+t11446*y)* +t12294+t9943+t10964+t11950+t12379+t12519+t12582+t12588; + coeff_dx_0_p2_m1 = t10497+t11737+t10826+t12178+t12281+t12406+t12442; + coeff_dx_p1_p2_m1 = t11022+t10121+t11679+t10500+t9909+t12332+t10820+ +t12352+t12491; + coeff_dx_p2_p2_m1 = t11001+t10893+t10524+(t11639*z+t11593*t11662)*t12313+ +t9905+t9845+t10122+t11696+t11898+t12445+t12591+t12592; + coeff_dx_p3_p2_m1 = t11743+t10105+t10103+t10420+t12198+t12440+t12448; + coeff_dx_m2_p3_m1 = t11083+t10921+t11728+t10592+t12249+t12386+t12400; + coeff_dx_m1_p3_m1 = t9936+t10398+t11239+t9893+t11747+t10396+t11446*t11989 ++t12099+t12203+t12613; + coeff_dx_0_p3_m1 = t10888+t11750+t12151+t12443+t12619; + coeff_dx_p1_p3_m1 = t10689+t10882+t11120+t11723+t12237+t12385+t12452; + coeff_dx_p2_p3_m1 = t10671+t10999+t11741+t12061+t12194+t12448+t12455; + coeff_dx_p3_p3_m1 = t10267+t10266+t10621+(t12290+t12082)*t12313+t11935+ +t12554+t12621; + coeff_dx_m2_m2_0 = t11145+t11776*t11660+(t12310*t11520+(t12206+t11523)* +t11660)*x+t11926+t10591+t11879+t12376+t12409+t12514+t12523+t12528; + coeff_dx_m1_m2_0 = t11578*t12043+t11253+t10494+t11692+t11783*t11660+ +t10532+t11906+t12415+t12433+t12618; + coeff_dx_0_m2_0 = t10268+t10844+t11660*t12063+(t11580+t12188)*t12043+ +t11727+t11916+t12607; + coeff_dx_p1_m2_0 = t11214+t11587*t12043+t11683+t10390+t11756*t11660+ +t11854+t11893+t12431+t12462; + coeff_dx_p2_m2_0 = t10809+t11202+t11540*t12043+t11686+t11758*t11660+ +t11881+t11943+t12414+t12416; + coeff_dx_p3_m2_0 = t11582*t12246+t10407+t11577*t12043+t11702+t12391+ +t12517+t12552; + coeff_dx_m2_m1_0 = t11169+t11780*t11660+(t11536*t11659+t11655*y)*x+t11692 ++t10702+t11924+t11936+t12435+t12458; + coeff_dx_m1_m1_0 = t11896+t11179+t11763*t11660+t10705+t9891+t11870+( +t11648*y+t11462*t11659+(t11562+t11559*t11662)*t11660)*x+t11929+t11945+t12449+ +t12451; + coeff_dx_0_m1_0 = t11629*t12246+t10587+t9874+t9926+((t11357*t11663+t11450 +)*t11659+(t11554+t11361*t11663)*y)*x+t11913+t11915+t12526+t12532; + coeff_dx_p1_m1_0 = t10149+t11128+(t11526*y+t11461*t11659)*x+t11690+t11771 +*t11660+t11863+t11931+t12426+t12467; + coeff_dx_p2_m1_0 = t10851+t11768*t11660+t11245+(t11537*t11659+t11637*y)*x ++t11693+t11855+t11902+t12421+t12460; + coeff_dx_p3_m1_0 = t10523+t11570*t12246+(t11574*t11659+t11619*y)*x+t11739 ++t12392+t12495+t12516; + coeff_dx_m2_0_0 = t11727+t11573+t11774*t11663+RATIONAL(1.0,4.0)*t11661+( +t11639+t12236*t11641)*x+((t11376+t11417*t11661)*t11663+t11774)*t11660+t9993+ +t11858+t12374+t12531; + coeff_dx_m1_0_0 = t11734+(t11634+t12236*t11572)*x+RATIONAL(-7.0,4.0)* +t11661+((RATIONAL(-343.0,36.0)*t11661+t11427)*t11663+t11761)*t11660+t11627+ +t11761*t11663+t10471+t11873+t12511+t12524+t12526; + coeff_dx_0_0_0 = t9967+(t11605*t11663+RATIONAL(4.0,1.0)+(t11605+RATIONAL( +196.0,9.0)*t11663)*t11660)*t11661+(t11614+(t11398*t11659+t11609)*t11663+t12236* +t11613+(RATIONAL(-686.0,27.0)*t11663+t11609+t11398*t11662)*t11660)*x+t11900+ +t12549; + coeff_dx_p1_0_0 = (t11572+t12236*t11513)*x+((RATIONAL(-196.0,9.0)*t11661+ +t11458)*t11663+t11773)*t11660+t9960+t11773*t11663+RATIONAL(-4.0,1.0)*t11661+ +t11637+t11744+t11895+t12396+t12579; + coeff_dx_p2_0_0 = (-1.0+t12236*t11636)*x+((RATIONAL(343.0,36.0)*t11661+ +t11402)*t11663+t11766)*t11660+RATIONAL(7.0,4.0)*t11661+t11540+t11766*t11663+ +t10624+t11710+t11894+t12509+t12599+t12605; + coeff_dx_p3_0_0 = t10576+(t11640+t12236*t11655)*x+(t11638+t11537*t11663+( +t11436*t11663+t11537)*t11660)*t11661+t11712+t12567+t12568; + coeff_dx_m2_p1_0 = (t12312+t12192)*x+t11769*t11660+t11129+t11683+t10552+ +t11894+t12369+t12405+t12516; + coeff_dx_m1_p1_0 = t11782*t11660+t10650+(t11650*y+t11576*t11659)*x+t11690 ++t11902+t12411+t12457+t12498+t12579; + coeff_dx_0_p1_0 = t11545*t12246+t9911+t10544+((t11399*t11663+t11533)* +t11659+(t11566+t11378*t11663)*y)*x+t11744+t11863+t12608; + coeff_dx_p1_p1_0 = t9991+t11873+t11052+t11762*t11660+t9858+t11900+(t11528 +*y+t11561*t11659+(t11599+t11369*t11662)*t11660)*x+t11913+t11929+t12466+t12468; + coeff_dx_p2_p1_0 = t10785+t11176+t11676+(t11645*t11659+t11627*y)*x+t11757 +*t11660+t11858+t11870+t12427+t12444; + coeff_dx_p3_p1_0 = t10707+t11856+(t11628*t11659+t11652*y)*x+t11718+t11924 ++t12401+t12553; + coeff_dx_m2_p2_0 = t11781*t11660+(t11569*y+t11585*t11659)*x+t11116+t11686 ++t10679+t11855+t12382+t12410+t12517; + coeff_dx_m1_p2_0 = t11271+t10599+t11693+(t11601*y+t11460*t11659)*x+t11775 +*t11660+t11931+t11943+t12417+t12442; + coeff_dx_0_p2_0 = t10161+t10823+t11633*t12246+((t11435+t11359*t11663)* +t11659+t11765*y)*x+t11710+t11854+t12571; + coeff_dx_p1_p2_0 = (t11406*t11659+t11612*y)*x+t11299+t11676+t11759*t11660 ++t10346+t11896+t11916+t12428+t12463; + coeff_dx_p2_p2_0 = t10827+t11223+t11928+t11936+t11764*t11660+(t11573*y+ +t11535*t11659+(t11637*t11662+t11625)*t11660)*x+t11945+t12422+t12432+t12514+ +t12618; + coeff_dx_p3_p2_0 = t10669+t11656*t12246+(t12308+t11598*t11659)*x+t11736+ +t12398+t12523+t12594; + coeff_dx_m2_p3_0 = t11659*t12296+t11772*t11660+t11754+t11881+t12146+ +t12391+t12572; + coeff_dx_m1_p3_0 = t11191+t11659*t12292+t11777*t11660+t11750+t11893+ +t12392+t12456; + coeff_dx_0_p3_0 = t10191+t10883+t11643*t12246+t11765*t12311+t11852+t12497 ++t12568; + coeff_dx_p1_p3_0 = t11154+t12028+t11778*t11660+t11718+t11906+t12430+ +t12476; + coeff_dx_p2_p3_0 = t10995+t11659*t12299+t11767*t11660+t11731+t12398+ +t12473+t12528; + coeff_dx_p3_p3_0 = t11660*t12182+t10208+(t11595*t11659+(t11577+t12135)* +t11660)*x+t11926+t12587+t12601; + coeff_dx_m2_m2_p1 = t10221+t11202+t10195+t10679+t10976+(t12057+t12289)* +t12313+t11677+t10592+t12367+t12475+t12513+t12543; + coeff_dx_m1_m2_p1 = t12327+t11669+t11214+t11244+t10599+t9919+t10396+ +t12351+t12508; + coeff_dx_0_m2_p1 = t10161+t10798+t11713+t12151+t12407+t12462+t12479; + coeff_dx_p1_m2_p1 = t11253+t10689+t11453*t11785+t11200+t11668+t10799+ +t10844+t10346+t12377+t12536+t12564+t12590; + coeff_dx_p2_m2_p1 = t11145+t10671+t10945+t9908+t11671+t11928+t12341+ +t12397+t12585; + coeff_dx_p3_m2_p1 = t10266+t10669+t11722+t10627+t10321+t12245+t12373+ +t12584; + coeff_dx_m2_m1_p1 = t11672+t11245+t10903+t10552+t10676+t10610+t11838+ +t12347+t12351; + coeff_dx_m1_m1_p1 = t10650+t10234+t11128+t11700+(t11549*t11662+t11413*z)* +t12313+t9853+t10256+t11843+t12393+t12487+t12537; + coeff_dx_0_m1_p1 = t9911+t11740+t10480+t12178+t12436+t12467+t12574; + coeff_dx_p1_m1_p1 = t10121+t9991+t10587+t10488+t11179+t11092+(t11396* +t11659+t11373*y)*t12294+t11685+t11891+t12338+t12515; + coeff_dx_p2_m1_p1 = t10785+t11169+t11682+t10524+t10264+t10928+t11810+ +t12345+t12346; + coeff_dx_p3_m1_p1 = t10707+t11715+t10775+t10577+t10516+t12198+t12447+ +t12453; + coeff_dx_m2_0_p1 = (t11628*z+t11620*t11662)*x+t11769*t11663+t10435+t11678 ++t11869+t12405+t12407+t12561+t12599; + coeff_dx_m1_0_p1 = t10422+(t11650*z+t11576*t11662)*x+t11782*t11663+t11691 ++t10994+t11886+t11895+t12436+t12457; + coeff_dx_0_0_p1 = t9962+t11791+t9878+((t11399*t11660+t11533)*t11662+( +t11566+t11378*t11660)*z)*x+t11872+t12396+t12541+t12608; + coeff_dx_p1_0_p1 = t11746+t11762*t11663+(t11528*z+t11561*t11662+(t11369* +t11659+t11599)*t11663)*x+t10022+t11877+t12468+t12499+t12524+t12525+t12549; + coeff_dx_p2_0_p1 = (t11627*z+t11645*t11662)*x+t11757*t11663+t11675+t10778 ++t12366+t12444+t12484+t12530+t12531; + coeff_dx_p3_0_p1 = t11792+t10410+(t11652*z+t11628*t11662)*x+t11726+t12358 ++t12503+t12553; + coeff_dx_m2_p1_p1 = t10404+t11176+(RATIONAL(25.0,108.0)+RATIONAL(25.0, +36.0)*t11661)*t12212+t11911+t10702+t10577+t10535+t9993+t12325+t12377+t12477+ +t12484+t12486; + coeff_dx_m1_p1_p1 = t11052+t10668+t10264+t10705+(RATIONAL(-50.0,27.0)+ +RATIONAL(-175.0,36.0)*t11661)*t12212+t10504+t10489+t10471+t11685+t11877+t12361+ +t12522; + coeff_dx_0_p1_p1 = t9926+t11746+t10419+t10070+t9904+t9967+RATIONAL(100.0, +9.0)*t11790+t11891+t12466; + coeff_dx_p1_p1_p1 = (RATIONAL(50.0,27.0)+RATIONAL(-100.0,9.0)*t11661)* +t12212+t9960+t10149+((t11377*y+t11349*t11659)*t11663+(RATIONAL(250.0,27.0)* +t11663+t11377*z+t11349*t11662)*t11660)*x+t11874+t10994+t10038+t10544+t12487+ +t12498+t12541+t12569+t12574+t12593; + coeff_dx_p2_p1_p1 = t10851+t11673+(RATIONAL(-25.0,108.0)+RATIONAL(175.0, +36.0)*t11661)*t12212+t10861+t11129+t12330+t10624+t10793+t10256+t12482+t12561; + coeff_dx_p3_p1_p1 = t10440+t10576+t11705+t10523+t10676+t11504*t11790+ +t10448+t12118+t12364; + coeff_dx_m2_p2_p1 = t11223+t11681+t10928+t10420+t10321+t11879+t11925+ +t12389+t12397; + coeff_dx_m1_p2_p1 = t11299+t11092+t12332+t11667+t10078+t9908+t10532+ +t12346+t12591; + coeff_dx_0_p2_p1 = t11703+t10820+t10072+t10268+t12366+t12463+t12590; + coeff_dx_p1_p2_p1 = (t11400*t11659+t11481*y)*t12294+t11271+t11673+t10823+ +t10826+t10390+t10062+t12337+t12479+t12537+t12582; + coeff_dx_p2_p2_p1 = t11666+t10809+t10470+t9919+t11116+t10903+(t11643*z+ +t11627*t11662)*t12313+t9853+t12328+t12519+t12543; + coeff_dx_p3_p2_p1 = t10407+t10195+t11706+t10228+t10402+t12390+t12395; + coeff_dx_m2_p3_p1 = t10995+t10945+t11722+t10621+t10694+t12138+t12372+ +t12472; + coeff_dx_m1_p3_p1 = t11154+t11200+t11723+t10501+t12194+t12388+t12453; + coeff_dx_0_p3_p1 = t10499+t10882+t11726+t12476+t12612; + coeff_dx_p1_p3_p1 = t11244+t11191+t10888+t10883+t10685+t11705+t11481* +t11989+t12099+t12370; + coeff_dx_p2_p3_p1 = t11040+t10449+t10398+t10976+t11725+t12380+t12395; + coeff_dx_p3_p3_p1 = t10221+t10358+(t12254+t11422*z)*t12313+t12249+t12470+ +t12529+t12560; + coeff_dx_m2_m2_p2 = t11848+t10124+x*t11087+t11918+t9994+t11917+t11909+ +t11075+t10609+t10232+t10375+t12360+t12375; + coeff_dx_m1_m2_p2 = t12336+t10019+t11188+t11697+t10465+t10237+t9943+ +t12355+t12496; + coeff_dx_0_m2_p2 = t11738+t10830+t10605+t12202+t12281+t12416+t12437; + coeff_dx_p1_m2_p2 = t11688+t10788+t10593+t10494+t12333+t11167+t9909+ +t10198+t10970+t12341; + coeff_dx_p2_m2_p2 = t10704+t11833+t11582*t11785+t10155+t9980+t10972+ +t12339+t10619+t11904+t10122+t12359+t12545+t12625; + coeff_dx_p3_m2_p2 = t11711+t10635+t10317+t10119+t10103+t12363+t12365; + coeff_dx_m2_m1_p2 = t11699+t10356+t10894+t10985+t10595+t11868+t12355+ +t12399+t12597; + coeff_dx_m1_m1_p2 = t11250+t10014+t11306+t10541+t10373+t9977+(t11372* +t11662+t11446*z)*t12313+t11698+t11912+t12356+t12624; + coeff_dx_0_m1_p2 = t10818+t10745+t11737+t12121+t12278+t12421+t12441; + coeff_dx_p1_m1_p2 = t11211+t11682+t10024+t10804+t9918+t10634+t11867+ +t12344+t12352; + coeff_dx_p2_m1_p2 = t10176+t11927+t10428+(t11639*y+t11593*t11659)*t12294+ +t10840+t11027+t10616+t11947+t12343+t12445+t12502+t12555+t12626; + coeff_dx_p3_m1_p2 = t10116+t10039+t11742+t10405+t10002+t12381+t12440; + coeff_dx_m2_0_p2 = (t11585*t11662+t11569*z)*x+t11781*t11663+t11123+t10675 ++t11694+t11844+t11930+t12410+t12437; + coeff_dx_m1_0_p2 = t11274+t10653+(t11460*t11662+t11601*z)*x+t11687+t11775 +*t11663+t11836+t11941+t12417+t12441; + coeff_dx_0_0_p2 = t11633*t12078+t10832+t10241+t10648+((t11435+t11359* +t11660)*t11662+t11760*z)*x+t11802+t11880+t12571+t12605; + coeff_dx_p1_0_p2 = t11259+t10332+(t11612*z+t11406*t11662)*x+t11759*t11663 ++t11675+t11824+t11932+t12428+t12450; + coeff_dx_p2_0_p2 = t11704+t11233+t11764*t11663+(t11535*t11662+t11573*z+( +t11625+t11637*t11659)*t11663)*x+t10787+t11818+t11871+t12432+t12606+t12622; + coeff_dx_p3_0_p2 = t11656*t12078+t10592+(t11595*z+t11598*t11662)*x+t11735 ++t12383+t12533+t12594; + coeff_dx_m2_p1_p2 = t10899+t12333+t11233+t11681+t10717+t10511+t10405+ +t10280+t12334; + coeff_dx_m1_p1_p2 = t10716+t11259+t10085+t9954+t11667+t12335+t10616+ +t12344+t12542; + coeff_dx_0_p1_p2 = t10308+t11703+t10804+t10489+t10067+t12427+t12450+ +t12558; + coeff_dx_p1_p1_p2 = t10818+t11274+(t11400*t11662+t11481*z)*t12313+t11934+ +t11306+t12337+t12330+t10063+t10832+t10310+t12429+t12489; + coeff_dx_p2_p1_p2 = t9946+t11666+t10896+t10873+(t11627*t11659+t11643*y)* +t12294+t11123+t10541+t12340+t12566+t12570+t12617; + coeff_dx_p3_p1_p2 = t11706+t10595+t10694+t10286+t12052+t12378+t12454; + coeff_dx_m2_p2_p2 = t10635+t10100+t9876+t11689+t11027+(RATIONAL(1.0,16.0) +*t11661+t11592)*t12212+t10529+t9992+t11898+t12339+t12557; + coeff_dx_m1_p2_p2 = t9981+t11211+t10704+t10314+t9847+(RATIONAL(-7.0,16.0) +*t11661+t11647)*t12212+t11696+t9902+t11942+t12343+t12491; + coeff_dx_0_p2_p2 = t11704+t10788+t9844+t10828+t9978+t11790+t12179+t12276+ +t12422; + coeff_dx_p1_p2_p2 = t11019+t10830+t11250+t11919+t9974+t9843+t12340+t10831 ++t9958+(t11640-t11661)*t12212+t12328+t12483+t12518; + coeff_dx_p2_p2_p2 = t10614+(RATIONAL(7.0,16.0)*t11661+t11525)*t12212+ +t10045+((t11602*y+t11530*t11659)*t11663+(t11602*z+t11530*t11662+t11638*t11663)* +t11660)*x+t11909+t10985+t11018+t11060+t10373+t10465+t11944+t11950+t12562+t12609 +; + coeff_dx_p3_p2_p2 = t10146+t11730+t10389+t10631+t9988+t10330+RATIONAL( +-1.0,16.0)*t11790+t11918+t12402; + coeff_dx_m2_p3_p2 = t11711+t10135+t10972+t10117+t12061+t12394+t12412; + coeff_dx_m1_p3_p2 = t11167+t10162+t11741+t10157+t12237+t12381+t12438; + coeff_dx_0_p3_p2 = t10170+t10574+t11735+t12473+t12611; + coeff_dx_p1_p3_p2 = t11188+t10627+t10217+t11725+t12203+t12378+t12446; + coeff_dx_p2_p3_p2 = t10006+t11730+t9893+t10921+t10933+t10349+t10247+ +t11602*t11989+t11917+t12520; + coeff_dx_p3_p3_p2 = t10383+t10097+t10223+(t12167+t12302)*t12313+t11848+ +t12480+t12580; + coeff_dx_m2_m2_p3 = t10075+t10975+x*t11080+t10374+t12180+t12183+t12257+ +t12260+t12404+t12419; + coeff_dx_m1_m2_p3 = t10995+t11721+t10192+t12147+t12242+t12423+t12425; + coeff_dx_0_m2_p3 = t10302+t10457+t11702+t12490+t12551; + coeff_dx_p1_m2_p3 = t11040+t10167+t11707+t10724+t12047+t12373+t12420; + coeff_dx_p2_m2_p3 = t11720+t10260+t10144+t10909+t12365+t12403+t12521; + coeff_dx_p3_m2_p3 = t10291+t10233+t10115+t11451*t11785+t11821+t12488+ +t12575; + coeff_dx_m2_m1_p3 = t10914+t10569+t11017+t11721+t12386+t12424+t12595; + coeff_dx_m1_m1_p3 = t10981+t10649+t11192+t11446*t12025+t9913+t10351+ +t11948+t12181+t12229+t12464+t12613; + coeff_dx_0_m1_p3 = t10805+t10644+t11739+t12600+t12619; + coeff_dx_p1_m1_p3 = t10749+t11113+t11729+t12077+t12176+t12447+t12452; + coeff_dx_p2_m1_p3 = t11742+t10613+t11066+t10472+t12207+t12439+t12455; + coeff_dx_p3_m1_p3 = t10036+t10215+(t11479*y+t12255)*t12294+t11751+t12196+ +t12554; + coeff_dx_m2_0_p3 = t11030+t10168+t11662*t12296+t11772*t11663+t11709+ +t11830+t12490+t12572; + coeff_dx_m1_0_p3 = t11662*t12292+t11170+t11777*t11663+t11732+t11933+ +t12456+t12600; + coeff_dx_0_0_p3 = t11788+t10771+t11760*t12306+t11712+t12497; + coeff_dx_p1_0_p3 = t11966+t11121+t11778*t11663+t11755+t11860+t12358+ +t12430; + coeff_dx_p2_0_p3 = t10998+t11662*t12299+t11767*t11663+t11731+t12383+ +t12534+t12544; + coeff_dx_p3_0_p3 = t11789+(t11595*t11662+(t12161+t11577)*t11663)*x+t11748 ++t12548+t12587; + coeff_dx_m2_p1_p3 = t10998+t10407+t11072+t11707+t12196+t12372+t12413; + coeff_dx_m1_p1_p3 = t11121+t11251+t10765+t11729+t10613+t12387+t12388; + coeff_dx_0_p1_p3 = t10756+t11755+t12176+t12401+t12612; + coeff_dx_p1_p1_p3 = t11170+t11481*t12025+t11135+t10746+t10771+t10805+ +t12229+t12364+t12370+t12485; + coeff_dx_p2_p1_p3 = t11014+t11719+t10733+t11030+t12181+t12380+t12454; + coeff_dx_p3_p1_p3 = t10278+t10569+(t12213+t12315)*t12294+t11752+t12050+ +t12560; + coeff_dx_m2_p2_p3 = t11720+t10950+t10139+t10233+t12207+t12362+t12412; + coeff_dx_m1_p2_p3 = t11743+t10260+t10164+t11143+t12077+t12438+t12439; + coeff_dx_0_p2_p3 = t10183+t10724+t11736+t12544+t12611; + coeff_dx_p1_p2_p3 = t11193+t10981+t11039+t11719+t10457+t10197+t12390+ +t12446; + coeff_dx_p2_p2_p3 = t10322+t11602*t12025+t10914+t10655+t11054+t9913+ +t11946+t12242+t12260+t12402+t12520; + coeff_dx_p3_p2_p3 = t10628+t10371+(t12175+t11478*y)*t12294+t11753+t12183+ +t12480; + coeff_dx_m2_p3_p3 = t10315+t10909+(t12256+t11404)*t12212+t11749+t12064+ +t12575; + coeff_dx_m1_p3_p3 = t11063+t10171+(t12110+t11486)*t12212+t11751+t12047+ +t12621; + coeff_dx_0_p3_p3 = t11569*t11790+t10329+t11748+t12601; + coeff_dx_p1_p3_p3 = t11080+t10327+(t12186+t11474)*t12212+t11752+t12147+ +t12529; + coeff_dx_p2_p3_p3 = t10936+t10320+(t12101+t11362)*t12212+t11753+t12180+ +t12580; + coeff_dx_p3_p3_p3 = t10244+t11438*t11790+t10387+(t11035+(t12263+t12262)* +t11478)*x+t12257; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-dxx.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-dxx.compute.c new file mode 100644 index 0000000..394a744 --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-dxx.compute.c @@ -0,0 +1,3556 @@ +fp t19609, + t19608, + t20133, + t19611, + t19765, + t19610, + t20139, + t19761, + t19977, + t20098, + t20396, + t20099, + t19980, + t20395, + t19533, + t19297, + t19785, + t18423, + t19514, + t19969, + t20394, + t20053, + t18790, + t19966, + t19852, + t20393, + t19447, + t20045, + t19773, + t19428, + t20004, + t20392, + t20072, + t19438, + t19541, + t20126, + t20391, + t19607, + t19270, + t20390, + t19503, + t19883, + t19605, + t20389, + t19591, + t20097, + t19575, + t20388, + t20125, + t19474, + t19831, + t19325, + t20075, + t19769, + t18222, + t20387, + t19431, + t19449, + t19949, + t18825, + t20386, + t19499, + t19518, + t19853, + t20114, + t20385, + t18832, + t19493, + t19847, + t20384, + t19469, + t19904, + t19833, + t19456, + t20019, + t18938, + t20383, + t20087, + t19848, + t19545, + t20039, + t20382, + t19446, + t19922, + t20381, + t19417, + t19824, + t18226, + t19470, + t20380, + t19473, + t20078, + t19129, + t18481, + t20067, + t18478, + t20379, + t19454, + t19776, + t20378, + t19535, + t20124, + t20112, + t19525, + t19791, + t20377, + t19478, + t19889, + t20376, + t19315, + t19396, + t20375, + t19856, + t19576, + t20123, + t19243, + t18634, + t20374, + t19388, + t19885, + t18987, + t19494, + t19792, + t20373, + t19549, + t19150, + t19547, + t19859, + t20372, + t19413, + t19940, + t18795, + t19463, + t20371, + t19359, + t20370, + t20147, + t19395, + t19866, + t18286, + t19357, + t20369, + t18819, + t20368, + t19790, + t18298, + t20367, + t19415, + t19970, + t18991, + t19420, + t19930, + t18803, + t20366, + t20365, + t20145, + t20144, + t19502, + t18377, + t20071, + t20364, + t19510, + t19982, + t18718, + t20363, + t19461, + t20044, + t19770, + t18559, + t19393, + t19864, + t20362, + t18456, + t20361, + t19482, + t20013, + t19227, + t19806, + t18363, + t20360, + t19593, + t20135, + t19512, + t20359, + t19571, + t19989, + t19236, + t19458, + t19905, + t19787, + t20358, + t19492, + t20103, + t19800, + t18412, + t19440, + t19918, + t20357, + t19530, + t19874, + t19162, + t19414, + t20356, + t19457, + t19809, + t18344, + t20355, + t19479, + t19858, + t19398, + t19851, + t20354, + t19353, + t18677, + t19394, + t19857, + t18284, + t20353, + t19252, + t20352, + t19339, + t19862, + t18727, + t19400, + t19801, + t20351, + t19455, + t19556, + t20106, + t20350, + t19879, + t19373, + t19798, + t20349, + t19049, + t18527, + t19808, + t20348, + t19588, + t20141, + t19320, + t19842, + t20347, + t20346, + t18229, + t19433, + t19887, + t20345, + t19584, + t19890, + t19267, + t18571, + t19082, + t20344, + t19471, + t19958, + t19223, + t19498, + t19293, + t19779, + t20343, + t19081, + t20342, + t20136, + t20341, + t19551, + t18464, + t20340, + t19441, + t19873, + t18976, + t19936, + t19781, + t18372, + t20339, + t20137, + t19265, + t18620, + t20338, + t19399, + t19328, + t20337, + t20336, + t19372, + t19956, + t18846, + t20335, + t19814, + t18425, + t20334, + t19768, + t19892, + t20333, + t19795, + t18213, + t19327, + t20332, + t19564, + 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t20026, + t20025, + t20024, + t20021, + t19403, + t19405, + t18288, + t20016, + t20015, + t18537, + t20014, + t20012, + t20011, + t18566, + t20010, + t19311, + t20009, + t20008, + t19298, + t20007, + t20006, + t18550, + t20002, + t19999, + t19142, + t19998, + t19997, + t19993, + t19380, + t19992, + t19972, + t19991, + t18230, + t19990, + t19987, + t19985, + t19100, + t19983, + t19976, + t19975, + t19151, + t18881, + t19974, + t19971, + t18545, + t19964, + t19963, + t19578, + t19954, + t19951, + t19950, + t19013, + t19947, + t19945, + t19055, + t18548, + t19934, + t19933, + t19863, + t18739, + t19158, + t19928, + t19926, + t19925, + t19916, + t19915, + t19911, + t19462, + t19910, + t19909, + t18528, + t19906, + t18854, + t19903, + t19600, + t19902, + t19901, + t19896, + t19895, + t19893, + t19882, + t19881, + t19880, + t19371, + t19861, + t18833, + t19860, + t19180, + t19101, + t19102, + t18988, + t19846, + t19843, + t19840, + t19839, + t18872, + t18874, + t18920, + t19832, + t19827, + t19821, + t19818, + t19811, + t19804, + t19788, + t19783, + t19780, + t19778, + t19777, + t19052, + t19767, + t19766, + t19488, + t19764, + t19577, + t19763, + t19762, + t19213, + t18558, + t19760, + t19759, + t18959, + t19758, + t19757, + t19756, + t19755, + t19754, + t19596, + t19753, + t19752, + t19559, + t18359, + t19751, + t19750, + t18709, + t19749, + t19748, + t19509, + t19747, + t19746, + t19745, + t19744, + t19743, + t18489, + t19742, + t18218, + t18348, + t19741, + t19740, + t19739, + t19738, + t19737, + t19736, + t19439, + t18190, + t18210, + t19735, + t18318, + t19734, + t18351, + t19733, + t19732, + t18621, + t19731, + t18876, + t19730, + t19729, + t18325, + t18220, + t19728, + t18357, + t19727, + t19726, + t19725, + t19481, + t18366, + t19724, + t19723, + t18440, + t19460, + t19722, + t19721, + t18601, + t19720, + t18444, + t19719, + t19718, + t19717, + t19716, + t19715, + t19714, + t19713, + t18234, + t19712, + t19711, + t19710, + t18231, + t18436, + t19445, + t19709, + t18191, + t19708, + t19419, + t19707, + t19706, + t18424, + t19703, + t19702, + t19701, + t19700, + t18766, + t19699, + t19138, + t19698, + t19697, + t19696, + t19695, + t19694, + t19693, + t19692, + t18778, + t19691, + t19690, + t19689, + t19688, + t19687, + t19390, + t18922, + t19686, + t19685, + t18729, + t19684, + t19683, + t19682, + t19681, + t19680, + t19679, + t19678, + t19677, + t18828, + t19676, + t19047, + t19675, + t19095, + t19674, + t18672, + t19673, + t19672, + t19069, + t19671, + t19670, + t19669, + t19668, + t19667, + t18678, + t19666, + t19665, + t19664, + t19426, + t18917, + t19663, + t19662, + t19661, + t19660, + t19659, + t19658, + t19657, + t19059, + t19656, + t19655, + t19654, + t19268, + t19653, + t19652, + t19651, + t19650, + t19649, + t19648, + t19647, + t19646, + t19408, + t18782, + t19645, + t19644, + t19643, + t19642, + t19641, + t19640, + t19639, + t19638, + t19637, + t19021, + t19636, + t19635, + t19634, + t19633, + t19632, + t19631, + t19630, + t19629, + t19628, + t19627, + t19337, + t19626, + t19625, + t19274, + t19624, + t19079, + t19623, + t19189, + t19622, + t19621, + t19620, + t18948, + t19619, + t19618, + t19617, + t18777, + t19616, + t19421, + t18755, + t19615, + t19614, + t19602, + t19599, + t19594, + t19583, + t19570, + t19569, + t19560, + t19552, + t19539, + t19538, + t19531, + t19527, + t19523, + t19522, + t19504, + t19500, + t19497, + t19468, + t19459, + t19434, + t19432, + t19430, + t19407, + t19402, + t19389, + t19379, + t19366, + t19365, + t19364, + t19363, + t19358, + t19348, + t19347, + t19345, + t19343, + t19342, + t19340, + t19335, + t19334, + t19333, + t19331, + t19322, + t19281, + t19271, + t19263, + t19257, + t19255, + t19246, + t19231, + t19229, + t19222, + t19220, + t19217, + t19212, + t19206, + t19205, + t19191, + t19182, + t19174, + t19157, + t19148, + t19146, + t19144, + t19143, + t19140, + t19137, + t19136, + t19135, + t19132, + t19130, + t19123, + t19122, + t19121, + t19117, + t19114, + t19109, + t19106, + t19091, + t19071, + t19040, + t19038, + t19035, + t19027, + t19026, + t19025, + t19024, + t19018, + t19011, + t19007, + t19005, + t19004, + t19001, + t19000, + t18998, + t18985, + t18984, + t18983, + t18973, + t18964, + t18963, + t18957, + t18956, + t18952, + t18946, + t18945, + t18943, + t18942, + t18939, + t18931, + t18930, + t18927, + t18925, + t18923, + t18913, + t18911, + t18910, + t18908, + t18905, + t18904, + t18902, + t18901, + t18898, + t18896, + t18892, + t18890, + t18889, + t18888, + t18883, + t18880, + t18877, + t18873, + t18869, + t18867, + t18860, + t18856, + t18852, + t18849, + t18844, + t18841, + t18839, + t18838, + t18835, + t18834, + t18822, + t18817, + t18816, + t18809, + t18808, + t18807, + t18805, + t18802, + t18800, + t18796, + t18793, + t18791, + t18789, + t18788, + t18781, + t18776, + t18770, + t18763, + t18761, + t18754, + t18753, + t18752, + t18737, + t18732, + t18731, + t18726, + t18723, + t18722, + t18720, + t18719, + t18715, + t18713, + t18700, + t18699, + t18698, + t18694, + t18686, + t18685, + t18681, + t18680, + t18664, + t18654, + t18649, + t18643, + t18640, + t18636, + t18635, + t18628, + t18626, + t18623, + t18616, + t18610, + t18607, + t18606, + t18605, + t18604, + t18602, + t18596, + t18595, + t18594, + t18593, + t18590, + t18588, + t18587, + t18581, + t18580, + t18577, + t18576, + t18574, + t18569, + t18568, + t18564, + t18563, + t18547, + t18544, + t18540, + t18531, + t18517, + t18516, + t18513, + t18510, + t18509, + t18485, + t18484, + t18483, + t18477, + t18476, + t18475, + t18471, + t18469, + t18461, + t18454, + t18450, + t18448, + t18443, + t18433, + t18431, + t18430, + t18427, + t18426, + t18417, + t18409, + t18408, + t18391, + t18389, + t18387, + t18383, + t18379, + t18361, + t18360, + t18346, + t18345, + t18337, + t18336, + t18317, + t18315, + t18313, + t18308, + t18304, + t18299, + t18297, + t18294, + t18259, + t18253, + t18249, + t18248, + t18247, + t18245, + t18241, + t18223, + t18207, + t18199; + t19609 = y*y; + t19608 = t19609*y; + t20133 = t19608+y; + t19611 = z*z; + t19765 = t19611*t20133; + t19610 = z*t19611; + t20139 = z+t19610; + t19761 = t20139*t19609; + t19977 = t19611*t19608; + t20098 = y*t19611; + t20396 = t20098+t19977; + t20099 = z*t19609; + t19980 = t19609*t19610; + t20395 = t20099+t19980; + t19533 = RATIONAL(-7.0,18.0); + t19297 = t19533*t19609; + t19785 = x*t19297; + t18423 = t19610*t19785; + t19514 = RATIONAL(5.0,36.0); + t19969 = t19514*t19608; + t20394 = t18423+t19611*t19969; + t20053 = t19610*t19608; + t18790 = RATIONAL(70.0,27.0)*t20053; + t19966 = t19611*t19609; + t19852 = x*t19966; + t20393 = RATIONAL(-28.0,3.0)*t19852+t18790; + t19447 = RATIONAL(1.0,144.0); + t20045 = t19611*t19447; + t19773 = x*t20045; + t19428 = RATIONAL(-1.0,864.0); + t20004 = t19428*t19608; + t20392 = t19610*t20004+t19609*t19773; + t20072 = x*t20099; + t19438 = RATIONAL(112.0,9.0); + t19541 = RATIONAL(-16.0,3.0); + t20126 = x*t19541; + t20391 = t19438*t20072+z*t20126; + t19607 = RATIONAL(7.0,9.0); + t19270 = t19607*t20053; + t20390 = RATIONAL(-245.0,24.0)*t19852+t19270; + t19503 = RATIONAL(28.0,9.0); + t19883 = t19608*t19503; + t19605 = RATIONAL(7.0,3.0); + t20389 = (t19883+t19605)*t19611; + t19591 = RATIONAL(1.0,3.0); + t20097 = x*t19591; + t19575 = RATIONAL(-7.0,9.0); + t20388 = z*t20097+t19575*t20072; + t20125 = x*t19609; + t19474 = RATIONAL(-7.0,48.0); + t19831 = t19474*t20125; + t19325 = RATIONAL(49.0,288.0); + t20075 = x*t19608; + t19769 = t19325*t20075; + t18222 = z*t19769; + t20387 = z*t19831+t18222; + t19431 = RATIONAL(-35.0,48.0); + t19449 = RATIONAL(7.0,144.0); + t19949 = t19610*t19449; + t18825 = t19608*t19949; + t20386 = t19431*t19852+t18825; + t19499 = RATIONAL(14.0,3.0); + t19518 = RATIONAL(-98.0,9.0); + t19853 = x*t19980; + t20114 = x*t19610; + t20385 = t19518*t19853+t19499*t20114; + t18832 = RATIONAL(-70.0,27.0)*t20053; + t19493 = RATIONAL(20.0,3.0); + t19847 = t19493*t20125; + t20384 = t18832+t19611*t19847; + t19469 = RATIONAL(-10.0,9.0); + t19904 = t19611*t19469; + t19833 = x*t19904; + t19456 = RATIONAL(10.0,27.0); + t20019 = t19610*t19456; + t18938 = t19608*t20019; + t20383 = t18938+t19609*t19833; + t20087 = x*RATIONAL(49.0,72.0); + t19848 = t19611*t20087; + t19545 = RATIONAL(-7.0,24.0); + t20039 = t19545*t19608; + t20382 = x*t20039+t19608*t19848; + t19446 = RATIONAL(-5.0,144.0); + t19922 = t19611*t19446; + t20381 = t20133*t19922; + t19417 = RATIONAL(7.0,288.0); + t19824 = t19417*t20075; + t18226 = t19610*t19824; + t19470 = RATIONAL(-1.0,36.0); + t20380 = t18226+t19470*t19966; + t19473 = RATIONAL(1.0,18.0); + t20078 = z*t19473; + t19129 = t19609*t20078; + t18481 = x*t19129; + t20067 = z*t20075; + t18478 = t19470*t20067; + t20379 = t18481+t18478; + t19454 = RATIONAL(-35.0,12.0); + t19776 = t19454*t20125; + t20378 = t19270+t19611*t19776; + t19535 = RATIONAL(1.0,24.0); + t20124 = x*t19535; + t20112 = x*t19611; + t19525 = RATIONAL(-7.0,72.0); + t19791 = t19525*t20112; + t20377 = (t19791+t20124)*y; + t19478 = RATIONAL(20.0,9.0); + t19889 = t19478*t19608; + t20376 = y*t19904+t19611*t19889; + t19315 = t19607*t19609; + t19396 = RATIONAL(28.0,27.0); + t20375 = t19396*t19980+t19315; + t19856 = x*t19977; + t19576 = RATIONAL(-8.0,9.0); + t20123 = z*t19608; + t19243 = t19576*t20123; + t18634 = x*t19243; + t20374 = t19541*t19856+t18634; + t19388 = RATIONAL(-7.0,432.0); + t19885 = t19610*t19388; + t18987 = t19608*t19885; + t19494 = RATIONAL(5.0,96.0); + t19792 = t19494*t20112; + t20373 = t18987+t19609*t19792; + t19549 = RATIONAL(7.0,72.0); + t19150 = t19549*t19977; + t19547 = RATIONAL(-1.0,72.0); + t19859 = t19611*t19547; + t20372 = y*t19859+t19150; + t19413 = RATIONAL(-7.0,864.0); + t19940 = t19413*t19608; + t18795 = t19610*t19940; + t19463 = RATIONAL(5.0,48.0); + t20371 = t18795+t19463*t19852; + t19359 = RATIONAL(-49.0,288.0); + t20370 = t19359*t19856+t19463*t19980; + t20147 = x*z; + t19395 = RATIONAL(-49.0,36.0); + t19866 = t19395*t19608; + t18286 = t19866*t20147; + t19357 = RATIONAL(245.0,96.0); + t20369 = t18286+t19357*t19856; + t18819 = RATIONAL(-98.0,27.0)*t20053; + t20368 = t18819+RATIONAL(28.0,3.0)*t19852; + t19790 = t19417*t20125; + t18298 = t19610*t19790; + t20367 = t18298+t19608*t19859; + t19415 = RATIONAL(-35.0,18.0); + t19970 = t19415*t19610; + t18991 = t19608*t19970; + t19420 = RATIONAL(35.0,12.0); + t19930 = t19609*t19420; + t18803 = t19611*t19930; + t20366 = t18991+x*t18803; + t20365 = t18832+RATIONAL(70.0,3.0)*t19852; + t20145 = x*y; + t20144 = z*t20145; + t19502 = RATIONAL(-14.0,9.0); + t18377 = t19502*t20144; + t20071 = x*t20098; + t20364 = t18377+t19420*t20071; + t19510 = RATIONAL(-40.0,9.0); + t19982 = t19510*t19610; + t18718 = RATIONAL(245.0,18.0)*t19966; + t20363 = x*t18718+t19608*t19982; + t19461 = RATIONAL(-1.0,18.0); + t20044 = t19608*t19461; + t19770 = x*t20044; + t18559 = t19610*t19770; + t19393 = RATIONAL(5.0,216.0); + t19864 = t19609*t19393; + t20362 = t19611*t19864+t18559; + t18456 = RATIONAL(-32.0,9.0)*t20144; + t20361 = t18456+z*t19847; + t19482 = RATIONAL(-1.0,54.0); + t20013 = t19482*t19610; + t19227 = t19608*t20013; + t19806 = t19549*t20125; + t18363 = t19611*t19806; + t20360 = t19227+t18363; + t19593 = RATIONAL(-7.0,3.0); + t20135 = x*t19593; + t19512 = RATIONAL(49.0,9.0); + t20359 = t19512*t20071+y*t20135; + t19571 = RATIONAL(-1.0,9.0); + t19989 = t19608*t19571; + t19236 = t19610*t19989; + t19458 = RATIONAL(35.0,72.0); + t19905 = t19611*t19458; + t19787 = x*t19905; + t20358 = t19609*t19787+t19236; + t19492 = RATIONAL(7.0,18.0); + t20103 = x*t19492; + t19800 = t19611*t20103; + t18412 = t19608*t19800; + t19440 = RATIONAL(-25.0,72.0); + t19918 = t19609*t19440; + t20357 = t18412+t19610*t19918; + t19530 = RATIONAL(-7.0,54.0); + t19874 = t19530*t19608; + t19162 = t19610*t19874; + t19414 = RATIONAL(35.0,24.0); + t20356 = t19414*t19852+t19162; + t19457 = RATIONAL(-7.0,288.0); + t19809 = t19457*t20114; + t18344 = y*t19809; + t20355 = t19449*t20071+t18344; + t19479 = RATIONAL(7.0,24.0); + t19858 = t19479*t19610; + t19398 = RATIONAL(-49.0,72.0); + t19851 = t19398*t20125; + t20354 = t19610*t19851+x*t19858; + t19353 = RATIONAL(245.0,72.0); + t18677 = t19353*t19977; + t19394 = RATIONAL(-49.0,18.0); + t19857 = x*t20053; + t18284 = t19394*t19857; + t20353 = x*t18677+t18284; + t19252 = t19575*t20053; + t20352 = RATIONAL(49.0,12.0)*t19852+t19252; + t19339 = RATIONAL(35.0,288.0); + t19862 = t19339*t19608; + t18727 = t19610*t19862; + t19400 = RATIONAL(-35.0,96.0); + t19801 = t19400*t20112; + t20351 = t18727+t19609*t19801; + t19455 = RATIONAL(-112.0,9.0); + t19556 = RATIONAL(16.0,3.0); + t20106 = x*t19556; + t20350 = t19455*t20071+y*t20106; + t19879 = t19610*t19447; + t19373 = RATIONAL(-7.0,144.0); + t19798 = t19373*t20125; + t20349 = t19608*t19879+t19611*t19798; + t19049 = t19492*t20123; + t18527 = x*t19049; + t19808 = t19575*t20112; + t20348 = t18527+t19608*t19808; + t19588 = RATIONAL(-1.0,3.0); + t20141 = t19588*y; + t19320 = t19607*t19611; + t19842 = x*t19320; + t20347 = y*t19842+x*t20141; + t20346 = RATIONAL(343.0,216.0)*t20053+RATIONAL(-5.0,1.0)*t19852; + t18229 = t19608*t19809; + t19433 = RATIONAL(5.0,288.0); + t19887 = t19609*t19433; + t20345 = t18229+t19611*t19887; + t19584 = RATIONAL(8.0,9.0); + t19890 = t19584*t19608; + t19267 = z*t19890; + t18571 = x*t19267; + t19082 = t19469*t20099; + t20344 = t18571+x*t19082; + t19471 = RATIONAL(7.0,27.0); + t19958 = t19471*t19610; + t19223 = t19608*t19958; + t19498 = RATIONAL(-5.0,12.0); + t19293 = t19498*t19611; + t19779 = x*t19293; + t20343 = t19223+t19609*t19779; + t19081 = t19525*t19977; + t20342 = t19535*t20075+x*t19081; + t20136 = x*t19479; + t20341 = (t19851+t20136)*z; + t19551 = RATIONAL(-20.0,3.0); + t18464 = RATIONAL(32.0,9.0)*t20144; + t20340 = t19551*t20071+t18464; + t19441 = RATIONAL(7.0,216.0); + t19873 = t19441*t19608; + t18976 = t19611*t19873; + t19936 = t19609*t19461; + t19781 = x*t19936; + t18372 = t19610*t19781; + t20339 = t18976+t18372; + t20137 = y*t19610; + t19265 = t19584*t20137; + t18620 = x*t19265; + t20338 = y*t19833+t18620; + t19399 = RATIONAL(49.0,24.0); + t19328 = RATIONAL(-343.0,72.0); + t20337 = t19399*t20075+t19328*t19856; + t20336 = RATIONAL(-49.0,864.0)*t20053+RATIONAL(5.0,16.0)*t19852; + t19372 = RATIONAL(35.0,18.0); + t19956 = t19372*t19610; + t18846 = t19608*t19956; + t20335 = t18846+RATIONAL(-49.0,12.0)*t19852; + t19814 = t19609*t20103; + t18425 = t19610*t19814; + t20334 = t18425+t19440*t19977; + t19768 = t19359*t20114; + t19892 = t19611*t19463; + t20333 = t19608*t19892+t19609*t19768; + t19795 = t19325*t20114; + t18213 = y*t19795; + t19327 = RATIONAL(-49.0,144.0); + t20332 = t19327*t19853+t18213; + t19564 = RATIONAL(-56.0,9.0); + t18498 = t19564*t19857; + t20331 = RATIONAL(125.0,18.0)*t19966+t18498; + t18683 = t19353*t19980; + t20069 = y*t20114; + t19381 = RATIONAL(49.0,36.0); + t18283 = t19381*t20069; + t20330 = t18283+x*t18683; + t19979 = t19525*t19610; + t19173 = t19609*t19979; + t20329 = t19535*t20114+x*t19173; + t19507 = RATIONAL(-8.0,27.0); + t19995 = t19507*t19608; + t20328 = t19610*t19995+t19372*t19852; + t20020 = t19473*t19608; + t19845 = x*t20020; + t18555 = t19610*t19845; + t19436 = RATIONAL(-7.0,216.0); + t19959 = t19436*t19609; + t20327 = t18555+t19611*t19959; + t20326 = t18559+RATIONAL(5.0,54.0)*t19966; + t19351 = RATIONAL(-35.0,288.0); + t19865 = t19351*t19608; + t19546 = RATIONAL(-5.0,36.0); + t19955 = t19611*t19546; + t19033 = y*t19955; + t20325 = t19611*t19865+t19033; + t19484 = RATIONAL(7.0,36.0); + t19891 = t19609*t19484; + t19163 = t19611*t19891; + t19519 = RATIONAL(-1.0,27.0); + t19870 = t19610*t19519; + t19209 = t19608*t19870; + t20324 = x*t19163+t19209; + t19485 = RATIONAL(7.0,12.0); + t19829 = t19485*t20125; + t19561 = RATIONAL(-7.0,27.0); + t19965 = t19561*t19608; + t19124 = t19610*t19965; + t20323 = t19611*t19829+t19124; + t19410 = RATIONAL(-224.0,9.0); + t19491 = RATIONAL(32.0,3.0); + t20322 = t19491*t20114+t19410*t19853; + t20321 = t18991+RATIONAL(245.0,24.0)*t19852; + t20088 = x*RATIONAL(-1.0,48.0); + t19812 = t19609*t20088; + t19411 = RATIONAL(-1.0,288.0); + t20116 = t19411*x; + t20068 = z*t20116; + t18352 = y*t20068; + t20320 = t18352+z*t19812; + t19416 = RATIONAL(-35.0,24.0); + t20319 = t19223+t19416*t19852; + t20318 = t19530*t19966+t18555; + t19565 = RATIONAL(-14.0,3.0); + t19557 = RATIONAL(98.0,9.0); + t20317 = t19557*t19856+t19565*t20075; + t19782 = x*t19890; + t18567 = t19610*t19782; + t20316 = t18567+RATIONAL(-25.0,27.0)*t19966; + t19603 = RATIONAL(1.0,9.0); + t20047 = t19610*t19603; + t19262 = t19608*t20047; + t19837 = t19398*t20112; + t20315 = t19609*t19837+t19262; + t19451 = RATIONAL(-1.0,144.0); + t20080 = y*t19451; + t18971 = t19611*t20080; + t19453 = RATIONAL(1.0,288.0); + t19797 = t19453*t20114; + t18343 = y*t19797; + t20314 = x*t18971+t18343; + t18703 = t19610*t19865; + t19386 = RATIONAL(35.0,48.0); + t20313 = t18703+t19386*t19852; + t18221 = t19610*t19769; + t20312 = RATIONAL(-25.0,48.0)*t19966+t18221; + t19378 = RATIONAL(5.0,144.0); + t19884 = t19609*t19378; + t19802 = t19457*t20112; + t18246 = t19608*t19802; + t20311 = t19610*t19884+t18246; + t20140 = x*t19605; + t19554 = RATIONAL(-49.0,9.0); + t20310 = y*t20140+t19554*t20071; + t19244 = t19603*t19977; + t18572 = x*t19244; + t20309 = t18572+z*t19959; + t20055 = t19479*t19608; + t20308 = x*t20055+t19608*t19837; + t19486 = RATIONAL(14.0,9.0); + t18459 = t19486*t20144; + t20307 = t18459+t19454*t20071; + t19924 = t19381*t19608; + t18282 = t19924*t20147; + t20306 = z*t19776+t18282; + t19586 = RATIONAL(2.0,3.0); + t19986 = t19586*t19608; + t20035 = t19611*t19502; + t19849 = x*t20035; + t20305 = x*t19986+t19608*t19849; + t20131 = x*t19545; + t20304 = (t20131+t19848)*y; + t18479 = t19473*t19853; + t19422 = RATIONAL(-5.0,216.0); + t19898 = t19422*t19608; + t20303 = t19611*t19898+t18479; + t19789 = t19411*t20114; + t18328 = y*t19789; + t20302 = t18328+t19610*t19812; + t18827 = t19447*t19977; + t18303 = t19609*t19809; + t20301 = t18827+t18303; + t19534 = RATIONAL(5.0,72.0); + t19520 = RATIONAL(1.0,36.0); + t20022 = t19520*t19608; + t18376 = t20022*t20147; + t20300 = t19534*t19856+t18376; + t20299 = RATIONAL(224.0,27.0)*t20053+RATIONAL(-280.0,9.0)*t19852; + t19476 = RATIONAL(-20.0,9.0); + t19425 = RATIONAL(14.0,27.0); + t19868 = t19610*t19425; + t18842 = t19608*t19868; + t20298 = t19476*t19852+t18842; + t20038 = t19484*t19608; + t18512 = t20038*t20147; + t20297 = t19608*t19801+t18512; + t20296 = t19381*t19852+t19236; + t18385 = t19611*t19845; + t20295 = t18385+t19422*t19980; + t20294 = RATIONAL(16.0,27.0)*t20053+t19415*t19852; + t19981 = t19609*t19502; + t19807 = x*t19981; + t20293 = t19611*t19807+t18842; + t19376 = RATIONAL(35.0,54.0); + t19988 = t19576*t19610; + t19772 = x*t19988; + t20292 = t19376*t19977+t19609*t19772; + t20017 = t19609*t19486; + t19793 = x*t20017; + t19579 = RATIONAL(-2.0,3.0); + t19937 = t19579*t19610; + t20291 = x*t19937+t19610*t19793; + t19540 = RATIONAL(5.0,18.0); + t19973 = t19540*t19610; + t19218 = t19608*t19973; + t20290 = t19218+t19395*t19852; + t19521 = RATIONAL(16.0,9.0); + t20289 = t19521*t20053+RATIONAL(-245.0,18.0)*t19852; + t19442 = RATIONAL(-7.0,108.0); + t19899 = t19442*t19608; + t20288 = t18479+t19611*t19899; + t19894 = t19609*t19376; + t19835 = t19576*t20112; + t20287 = t19608*t19835+t19610*t19894; + t19516 = RATIONAL(-28.0,9.0); + t20286 = t19516*t19852+t18938; + t19404 = RATIONAL(1.0,432.0); + t20285 = t19609*t19789+t19404*t19977; + t19487 = RATIONAL(-35.0,6.0); + t19306 = t19487*t19609; + t19466 = RATIONAL(-70.0,9.0); + t19104 = t19466*t19980; + t20284 = t19306+t19104; + t19452 = RATIONAL(-10.0,27.0); + t19897 = t19608*t19452; + t18801 = t19610*t19897; + t20283 = t19611*t19793+t18801; + t20282 = t19512*t20072+z*t20135; + t19537 = RATIONAL(-7.0,36.0); + t20018 = t19537*t19608; + t18492 = t20018*t20147; + t20281 = z*t19814+t18492; + t19580 = RATIONAL(-2.0,9.0); + t20138 = t19580*y; + t18613 = t20138*t20147; + t19581 = RATIONAL(-5.0,9.0); + t19314 = t19581*t19611; + t20280 = t18613+t19314*t20145; + t20085 = y*t19461; + t19066 = z*t20085; + t18557 = x*t19066; + t20128 = t19588*z; + t19238 = x*t20128; + t20279 = t19609*t19238+t18557; + t19604 = RATIONAL(5.0,6.0); + t19919 = t19604*t19611; + t19278 = t19609*t19919; + t19361 = RATIONAL(-49.0,216.0); + t19878 = t19610*t19361; + t18682 = t19608*t19878; + t20278 = t18682+x*t19278; + t19472 = RATIONAL(7.0,48.0); + t19817 = t19472*t20125; + t20277 = t19611*t19817+t18703; + t20066 = t19453*t20147; + t18342 = y*t20066; + t20102 = x*RATIONAL(1.0,48.0); + t19805 = t19609*t20102; + t20276 = z*t19805+t18342; + t18824 = t19451*t19966; + t20275 = t18824+t18226; + t19562 = RATIONAL(40.0,3.0); + t19838 = t19562*t20112; + t19532 = RATIONAL(-64.0,9.0); + t18368 = t19532*t20067; + t20274 = t19608*t19838+t18368; + t18806 = t19608*t19905; + t20273 = t18423+t18806; + t19418 = RATIONAL(5.0,108.0); + t20272 = t19418*t19977+t18372; + t19803 = t19609*t20087; + t19563 = RATIONAL(-5.0,18.0); + t19942 = t19563*t19610; + t19120 = t19608*t19942; + t20271 = t19611*t19803+t19120; + t20270 = t19378*t19977+t18303; + t19553 = RATIONAL(-1.0,24.0); + t20094 = t19553*y; + t20269 = t19549*t20071+x*t20094; + t19350 = RATIONAL(49.0,144.0); + t20268 = RATIONAL(-35.0,16.0)*t19852+t19350*t20053; + t19324 = RATIONAL(-35.0,216.0); + t19908 = t19324*t19610; + t18690 = t19608*t19908; + t19813 = t19609*t20097; + t20267 = t18690+t19611*t19813; + t20266 = t19499*t20075+t19518*t19856; + t19601 = RATIONAL(5.0,3.0); + t20265 = t19601*t19852+t18690; + t19960 = t19442*t19610; + t20264 = t19609*t19960+t18385; + t19914 = t19610*t19404; + t20263 = t19608*t19914+x*t18824; + t19483 = RATIONAL(-7.0,12.0); + t20092 = x*t19483; + t19816 = t19609*t20092; + t19558 = RATIONAL(7.0,54.0); + t19869 = t19610*t19558; + t19029 = t19608*t19869; + t20262 = t19611*t19816+t19029; + t19384 = RATIONAL(-14.0,27.0); + t20000 = t19608*t19384; + t18871 = t19610*t20000; + t20261 = t18871+t19503*t19852; + t19786 = t19417*t20112; + t18242 = t19608*t19786; + t19957 = t19547*t19610; + t20260 = t19609*t19957+t18242; + t19606 = RATIONAL(2.0,9.0); + t20115 = t19606*y; + t18619 = t20115*t20147; + t20259 = t18619+y*t19779; + t20062 = t19457*t20147; + t18225 = t19608*t20062; + t19850 = t19474*t20112; + t20258 = t19608*t19850+t18225; + t19377 = RATIONAL(-35.0,72.0); + t19943 = t19609*t19377; + t18886 = t19611*t19943; + t20257 = t19218+x*t18886; + t19923 = t19520*t19610; + t18536 = t19923*t20145; + t19907 = t19534*t19609; + t19830 = x*t19907; + t20256 = t18536+t19610*t19830; + t19542 = RATIONAL(1.0,27.0); + t19927 = t19542*t19608; + t19139 = t19610*t19927; + t18486 = t19609*t19791; + t20255 = t19139+t18486; + t18949 = RATIONAL(98.0,27.0)*t20053; + t20254 = RATIONAL(-70.0,3.0)*t19852+t18949; + t18341 = t19608*t19797; + t19412 = RATIONAL(-1.0,432.0); + t20253 = t19412*t19966+t18341; + t20252 = RATIONAL(-160.0,27.0)*t20053+RATIONAL(280.0,9.0)*t19852; + t19272 = t19603*t19980; + t18655 = x*t19272; + t19053 = t19610*t20085; + t18556 = x*t19053; + t20251 = t18655+t18556; + t20250 = RATIONAL(-5.0,16.0)*t19852+RATIONAL(49.0,432.0)*t20053; + t20061 = t19470*t20145; + t18539 = t19610*t20061; + t19076 = t19473*t20098; + t18542 = x*t19076; + t20249 = t18539+t18542; + t19382 = RATIONAL(-5.0,288.0); + t19913 = t19609*t19382; + t20248 = t18242+t19610*t19913; + t19941 = t19611*t19537; + t19784 = x*t19941; + t19517 = RATIONAL(1.0,54.0); + t20001 = t19517*t19610; + t19156 = t19608*t20001; + t20247 = t19609*t19784+t19156; + t20246 = t19611*t19831+t18825; + t20121 = x*t19579; + t20245 = (t19793+t20121)*z; + t18467 = t19516*t20067; + t19204 = t19466*t19977; + t20244 = t18467+x*t19204; + t18783 = t19609*t19879; + t20243 = t18783+t18246; + t19939 = t19373*t19611; + t18967 = t19608*t19939; + t20242 = t18967+y*t20045; + t20241 = t18425+t19608*t19941; + t19392 = RATIONAL(7.0,864.0); + t19921 = t19392*t19610; + t18879 = t19608*t19921; + t19515 = RATIONAL(-5.0,96.0); + t19774 = t19515*t20112; + t20240 = t18879+t19609*t19774; + t19448 = RATIONAL(-35.0,36.0); + t20239 = t19262+t19448*t19852; + t18384 = t19611*t19770; + t19886 = t19609*t19418; + t20238 = t18384+t19610*t19886; + t20237 = (t20136+t19837)*y; + t19961 = t19537*t19610; + t20236 = t18412+t19609*t19961; + t19427 = RATIONAL(49.0,48.0); + t20235 = t19463*t20099+t19431*t19980+t19427*t19856; + t19815 = t19611*t20102; + t20234 = t19608*t19815+t19609*t19885+t19404*t20099; + t20105 = x*RATIONAL(35.0,96.0); + t19855 = t19611*t20105; + t18307 = t19608*t19855; + t19917 = t19609*t19571; + t19250 = z*t19917; + t20233 = t18307+t19250+t19173; + t19391 = RATIONAL(-35.0,54.0); + t20232 = t19521*t19853+t20396*t19391; + t19424 = RATIONAL(-5.0,108.0); + t20231 = t18572+t20395*t19424; + t18859 = t19610*t19943; + t18866 = z*t19943; + t18646 = t19608*t19842; + t20230 = t18859+t18866+t18646; + t18353 = x*t18967; + t20229 = t18353+t20139*t19887; + t20081 = x*RATIONAL(-5.0,72.0); + t19794 = t19609*t20081; + t20228 = t19482*t20098+t19610*t19794+t19611*t19927; + t19572 = RATIONAL(4.0,9.0); + t20090 = z*t19572; + t20227 = y*t20090+RATIONAL(175.0,24.0)*t19852+t19252; + t19495 = RATIONAL(-2.0,27.0); + t20146 = y*z; + t20226 = t19495*t20146+RATIONAL(-25.0,24.0)*t19852+t19029; + t19536 = RATIONAL(5.0,27.0); + t20113 = y*t19536; + t19590 = RATIONAL(-4.0,9.0); + t20142 = y*t19590; + t20070 = x*t20142; + t18644 = z*t20070; + t19877 = t18644+z*t20113; + t20225 = RATIONAL(-245.0,216.0)*t20053+RATIONAL(5.0,1.0)*t19852+t19877; + t18573 = t19591*t19856; + t20224 = t18573+t19441*t20099+t19609*t19878; + t18687 = RATIONAL(-175.0,24.0)*t19966; + t20223 = t19469*t20146+t18846+x*t18687; + t20222 = RATIONAL(-50.0,3.0)*t19852+t18790+RATIONAL(-40.0,27.0)*t20146; + t20132 = y*t19441; + t19825 = t19586*t20125; + t20221 = t19611*t19825+t18682+z*t20132; + t19360 = RATIONAL(-245.0,54.0); + t20220 = t19360*t19980+z*t19894+t19556*t19856; + t20219 = t19877+t19478*t19852+t18801; + t19401 = RATIONAL(20.0,27.0); + t18503 = t19469*t19853; + t20089 = y*t19452; + t20218 = t18503+t19611*t20089+t19401*t19977; + t19771 = t19588*t20112; + t18575 = t19608*t19771; + t19346 = RATIONAL(49.0,108.0); + t20217 = t18575+t19346*t19980+t19442*t20099; + t18935 = t19373*t19980; + t18347 = x*t18935; + t20216 = t18347+t20396*t19433; + t19285 = t19571*t19977; + t18653 = x*t19285; + t19437 = RATIONAL(7.0,108.0); + t20215 = t18653+t20395*t19437; + t19477 = RATIONAL(-5.0,48.0); + t20214 = t19350*t19856+t20395*t19477; + t19854 = x*t19919; + t18625 = t19608*t19854; + t19867 = t19609*t19384; + t19368 = RATIONAL(-49.0,108.0); + t20213 = t18625+t19368*t19980+z*t19867; + t19932 = t19388*t19608; + t20212 = t19611*t19932+t19610*t19805+t19404*t20098; + t18940 = t19377*t19977; + t18255 = x*t18940; + t19938 = t19609*t19563; + t19573 = RATIONAL(5.0,9.0); + t19953 = t19609*t19573; + t20211 = t18255+t19610*t19953+z*t19938; + t20210 = t18819+RATIONAL(50.0,3.0)*t19852+RATIONAL(56.0,27.0)*t20146; + t19336 = RATIONAL(280.0,27.0); + t19332 = RATIONAL(-140.0,27.0); + t19435 = RATIONAL(-160.0,9.0); + t20209 = t19332*t20098+t19435*t19853+t19336*t19977; + t19305 = t19487*t19611; + t19836 = x*t19305; + t18473 = t19608*t19836; + t19496 = RATIONAL(35.0,9.0); + t19096 = t19496*t20099; + t20208 = t18683+t18473+t19096; + t19490 = RATIONAL(70.0,9.0); + t19093 = t19490*t19977; + t18402 = x*t19093; + t19872 = t19610*t19516; + t20207 = t18402+z*t20017+t19609*t19872; + t19775 = t19611*t20081; + t20206 = t19542*t19980+t19608*t19775+t19482*t20099; + t18611 = t19593*t19853; + t19329 = RATIONAL(175.0,72.0); + t20205 = t19329*t19977+t18611+t19440*t20098; + t19841 = t19472*t20112; + t18378 = t19608*t19841; + t19369 = RATIONAL(-35.0,144.0); + t20204 = t19369*t19980+t18378+z*t19884; + t20130 = y*t19514; + t19125 = z*t20130; + t20203 = RATIONAL(-245.0,288.0)*t20053+RATIONAL(35.0,16.0)*t19852+t19125; + t19506 = RATIONAL(-40.0,3.0); + t19367 = RATIONAL(245.0,54.0); + t19354 = RATIONAL(140.0,27.0); + t20202 = t19506*t19856+t19367*t19980+t19354*t20099; + t19819 = x*t19306; + t18465 = t19610*t19819; + t19501 = RATIONAL(10.0,9.0); + t19996 = t19611*t19501; + t19387 = RATIONAL(35.0,36.0); + t19900 = t19387*t19608; + t20201 = t18465+t19611*t19900+y*t19996; + t20200 = t19556*t19853+t19376*t20098+t19360*t19977; + t19338 = RATIONAL(-245.0,96.0); + t19994 = t19604*t19609; + t20199 = t19386*t19980+z*t19994+t19338*t19856; + t19566 = RATIONAL(4.0,27.0); + t20198 = t19566*t20146+RATIONAL(25.0,24.0)*t19852+t19124; + t19888 = t19609*t19535; + t19195 = t19611*t19888; + t20197 = t18987+x*t19195+t19404*t20146; + t18627 = t19610*t19813; + t20196 = t18627+t19361*t19977+t19441*t20098; + t19567 = RATIONAL(-5.0,27.0); + t20195 = t19567*t20099+t18625+t19609*t19908; + t20093 = y*t19517; + t19165 = z*t20093; + t18538 = z*t20061; + t19929 = t19165+t18538; + t19409 = RATIONAL(7.0,432.0); + t20005 = t19409*t19608; + t18885 = t19610*t20005; + t19128 = t19477*t19966; + t20194 = x*t19128+t19929+t18885; + t19952 = t19449*t19608; + t18799 = t19611*t19952; + t18334 = t19400*t19853; + t20193 = t18799+t18334+t19076; + t18977 = t19458*t19980; + t18312 = x*t18977; + t19249 = t19603*t20098; + t20192 = t18312+t19580*t19977+t19249; + t19555 = RATIONAL(5.0,12.0); + t19796 = t19555*t20112; + t20143 = t19520*z; + t20063 = x*t20143; + t18534 = y*t20063; + t19429 = RATIONAL(-1.0,108.0); + t20109 = t19429*y; + t19012 = z*t20109; + t19948 = t18534+t19012; + t20191 = t19162+t19948+t19609*t19796; + t18397 = t19608*t19833; + t20079 = z*t19561; + t20190 = t18397+(t20079+t19868)*t19609; + t18584 = t19593*t19856; + t20086 = z*t19537; + t19233 = t19609*t20086; + t20189 = t18584+t19381*t19980+t19233; + t18314 = x*t18859; + t19920 = t19611*t19573; + t20188 = t19563*t20098+t18314+t19608*t19920; + t19352 = RATIONAL(35.0,216.0); + t18624 = t19588*t19853; + t20187 = t19422*t20098+t19352*t19977+t18624; + t20051 = t19609*t19501; + t19834 = x*t20051; + t18500 = t19610*t19834; + t19375 = RATIONAL(-28.0,27.0); + t20186 = t19375*t19977+t18500+t19425*t20098; + t18561 = t19605*t19853; + t19341 = RATIONAL(-245.0,72.0); + t18716 = t19341*t19977; + t20185 = y*t19905+t18561+t18716; + t19046 = t19490*t19980; + t18439 = x*t19046; + t19526 = RATIONAL(-50.0,9.0); + t19543 = RATIONAL(25.0,9.0); + t20184 = t19526*t19977+t18439+t19543*t20098; + t19912 = t19609*t19546; + t19159 = t19611*t19912; + t19127 = t19482*t20146; + t20023 = t19127+t18534; + t20183 = t19139+x*t19159+t20023; + t19597 = RATIONAL(-5.0,3.0); + t20083 = z*t19471; + t20003 = t18644+y*t20083; + t19362 = RATIONAL(49.0,216.0); + t19931 = t19362*t19608; + t18691 = t19610*t19931; + t20182 = t20003+t18691+t19597*t19852; + t19450 = RATIONAL(25.0,72.0); + t19962 = t19450*t19611; + t18622 = t19575*t19853; + t20181 = t18622+t20133*t19962; + t19528 = RATIONAL(1.0,72.0); + t20180 = t18353+t20395*t19528; + t19820 = x*t19994; + t18641 = t19610*t19820; + t20179 = t19324*t19977+t18641+t19567*t20098; + t19513 = RATIONAL(35.0,6.0); + t19822 = t19513*t20125; + t18470 = t19610*t19822; + t19344 = RATIONAL(-175.0,72.0); + t19489 = RATIONAL(-25.0,9.0); + t20178 = t19344*t19977+t18470+t19489*t20098; + t20100 = t19428*z; + t20177 = t18879+y*t20100+t19553*t19852; + t19810 = x*t19315; + t18560 = t19610*t19810; + t20176 = t18560+t19033+t19608*t19955; + t19266 = t19610*t19917; + t18603 = x*t19266; + t20175 = t18603+t19393*t19765; + t20096 = z*t19412; + t20174 = t19609*t20096+x*t18827+t19412*t19980; + t20095 = z*t19382; + t19826 = t19545*t20125; + t20173 = t18727+t19611*t19826+y*t20095; + t19574 = RATIONAL(-5.0,6.0); + t19944 = t19609*t19574; + t19823 = x*t19944; + t18651 = t19610*t19823; + t20172 = t18651+t19471*t20098+t19611*t19931; + t19480 = RATIONAL(-35.0,9.0); + t19028 = t19480*t20099; + t20171 = t19046+t19028+t20244; + t19309 = t19498*t19609; + t20170 = t19581*t19980+t19309+t20382; + t19550 = RATIONAL(50.0,9.0); + t19508 = RATIONAL(25.0,6.0); + t20169 = t19508*t19609+t19550*t19980+t20266; + t19397 = RATIONAL(-20.0,27.0); + t20168 = t19314+t19397*t19977+t20291; + t19303 = t19540*t19609; + t19349 = RATIONAL(35.0,144.0); + t20167 = z*t19303+t19349*t19980+t20297; + t19043 = t19611*t20085; + t18530 = t19961*t20145; + t20166 = t19043+t18314+t19244+t18530; + t19467 = RATIONAL(-32.0,3.0); + t19374 = RATIONAL(224.0,9.0); + t19356 = RATIONAL(-280.0,27.0); + t20165 = t19356*t19980+t19467*t20075+t19466*t19609+t19374*t19856; + t19017 = z*t19891; + t20164 = t19610*t19891+t19017+t20348; + t18458 = t19872*t20145; + t20163 = t18458+t18470+y*t20035+t19611*t19866; + t19529 = RATIONAL(5.0,24.0); + t20162 = t19540*t19977+t19529*t19611+t20354; + t19978 = t19549*t19610; + t19232 = t19609*t19978; + t20161 = t19547*t20099+t19232+t20258; + t19968 = t19572*t19610; + t18648 = t19968*t20145; + t20160 = t19611*t19897+t18648+t18500+t19536*t20098; + t18474 = t19503*t20069; + t19875 = t19611*t19486; + t20159 = t18474+t18439+y*t19875+t19516*t19977; + t19301 = t19533*t19611; + t20158 = t19384*t19977+t19301+t20291; + t19089 = y*t20078; + t18553 = x*t19089; + t20107 = t19422*y; + t19828 = t19609*t20121; + t20040 = t19352*t19610; + t18710 = t19608*t20040; + t20157 = t19611*t19828+t18553+z*t20107+t18710; + t19589 = RATIONAL(1.0,6.0); + t19317 = t19589*t19609; + t20156 = t19317+t19606*t19980+t20308; + t19074 = z*t20020; + t18554 = x*t19074; + t20155 = t18653+t18554+t20139*t19864; + t18645 = t19590*t20069; + t19876 = t19425*t19608; + t20154 = t19561*t20098+t18503+t18645+t19611*t19876; + t18701 = t19341*t19980; + t18292 = t19395*t20069; + t19946 = t19611*t19574; + t20153 = y*t19946+t18292+x*t18701+t19601*t19977; + t19092 = t19473*t20137; + t18552 = x*t19092; + t19323 = RATIONAL(-35.0,108.0); + t20152 = t18627+t19323*t19977+t18552+t19418*t20098; + t19871 = t19448*t19608; + t19022 = t19514*t20098; + t19044 = t19492*t20137; + t18502 = x*t19044; + t20151 = t19611*t19871+t18561+t19022+t18502; + t19326 = RATIONAL(343.0,72.0); + t19595 = RATIONAL(-5.0,4.0); + t19423 = RATIONAL(-49.0,24.0); + t20150 = t19597*t19977+t19326*t19853+t19595*t19611+t19423*t20114; + t20149 = t20348+t19450*t19761; + t18875 = t19609*t19949; + t20148 = t18875+t19129+t20297; + t20134 = t19428*y; + t19385 = RATIONAL(1.0,108.0); + t20129 = t19385*z; + t20127 = t19476*y; + t19548 = RATIONAL(-4.0,27.0); + t20122 = z*t19548; + t20120 = t19429*z; + t20119 = t19603*z; + t20118 = t19586*y; + t20117 = t19571*y; + t20111 = x*RATIONAL(-5.0,8.0); + t20110 = t19586*z; + t20108 = z*t19393; + t20104 = z*t19433; + t19587 = RATIONAL(-1.0,4.0); + t20101 = x*t19587; + t20091 = x*RATIONAL(7.0,4.0); + t19524 = RATIONAL(1.0,12.0); + t20084 = x*t19524; + t20082 = z*t19546; + t20077 = y*t19437; + t19585 = RATIONAL(-4.0,3.0); + t20076 = x*t19585; + t20074 = z*t19456; + t20073 = t19553*z; + t19240 = y*t20097; + t20065 = x*t20090; + t20064 = t19417*t20145; + t18349 = t19610*t20064; + t19984 = t19413*t19610; + t20060 = t18349+y*t19984; + t19799 = t19411*t20075; + t18332 = z*t19799; + t20059 = t18332+t19609*t20066; + t18565 = t19608*t19772; + t20058 = t18565+t19611*t19782; + t20057 = t19586*t19610; + t18329 = t19608*t19789; + t20056 = t19609*t19797+t18329; + t19598 = RATIONAL(-7.0,6.0); + t20054 = t19598*t19609; + t19307 = t19470*t19611; + t19308 = t19540*t19611; + t19310 = t19589*t19611; + t18462 = t19883*t20147; + t19383 = RATIONAL(-49.0,27.0); + t20052 = t19383*t20123+t18462; + t18339 = t19608*t20066; + t20050 = t18339+t19609*t20068; + t20049 = t19610+t19608; + t20048 = t19517*t19608; + t20033 = t19533*t19608; + t19844 = x*t20033; + t18549 = t19610*t19844; + t18762 = t19609*t19962; + t20046 = t18549+t18762; + t20043 = t19482*t19608; + t19070 = t19540*t19966; + t20042 = t18549+t19070; + t20041 = t19579*t19608; + t20032 = t19373*t19610; + t20037 = t19608*t20032+t18221; + t19406 = RATIONAL(1.0,864.0); + t20036 = t19406*t19610; + t20034 = t18645+t19610*t20113; + t20031 = t18343+t19411*t20071; + t18652 = y*t20065; + t19110 = t19567*t20146; + t20030 = t18652+t19110; + t20029 = t19163+t18549; + t19065 = t19533*t20137; + t18501 = x*t19065; + t20028 = y*t20040+t18501; + t20027 = t19392*t19608; + t18546 = t19484*t20144; + t19152 = y*t20082; + t20026 = t18546+t19152; + t20025 = t19437*t19966+t18559; + t20024 = t19572*t19608; + t20021 = t19611*t19571; + t19403 = RATIONAL(-25.0,12.0); + t19405 = RATIONAL(49.0,18.0); + t18288 = t19405*t19857; + t20016 = t18288+t19403*t19966; + t20015 = t19610*t19451; + t18537 = x*t19043; + t20014 = t18537+t18552; + t20012 = t19563*t19608; + t20011 = t18556+t18542; + t18566 = t19590*t20067; + t20010 = t19609*t20065+t18566; + t19311 = t19581*t19609; + t20009 = t19609*t19603; + t20008 = t19545*t19610; + t19298 = t19470*t19609; + t20007 = t18226+t19609*t19922; + t20006 = t19608*t19412; + t18550 = t19492*t19857; + t20002 = t18886+t18550; + t19999 = t19610*t19393; + t19142 = y*t20013; + t19998 = t18552+t19142; + t19997 = t18492+t19558*t20123; + t19993 = t19610*t19382; + t19380 = RATIONAL(-35.0,27.0); + t19992 = t18474+t19380*t20137; + t19972 = t19436*t19608; + t19991 = z*t19972+t18554; + t18230 = y*t20062; + t19990 = y*t20104+t18230; + t19987 = t18550+t19533*t19966; + t19985 = t18553+t19436*t20146; + t19100 = y*t20079; + t19983 = t18652+t19100; + t19976 = t19580*t19610; + t19975 = t18502+y*t19942; + t19151 = y*t20001; + t18881 = t19611*t19972; + t19974 = t19151+t18881; + t19971 = t19484*t19610; + t18545 = t19971*t20145; + t19964 = t18545+t19053; + t19963 = t19437*t19608; + t19578 = RATIONAL(7.0,6.0); + t19954 = t19578*t19609; + t19951 = t18648+t19561*t20137; + t19950 = t19553*t19610; + t19013 = y*t20129; + t19947 = t19013+t18538; + t19945 = t19609*t20063+t18478; + t19055 = z*t20033; + t18548 = x*t19055; + t19934 = z*t19931+t18548; + t19933 = t19610*t19433; + t19863 = t19436*t19610; + t18739 = t19609*t19863; + t19158 = z*t20048; + t19928 = t18739+t19158; + t19926 = t19611*t19424; + t19925 = t18539+t19520*t20071; + t19916 = t19478*t19610; + t19915 = t19609*t19554; + t19911 = t19611*t19528; + t19462 = RATIONAL(8.0,27.0); + t19910 = t19462*t19610; + t19909 = t19159+t18550; + t18528 = t20086*t20145; + t19906 = t18528+t19089; + t18854 = t19387*t19966; + t19903 = t18549+t18854; + t19600 = RATIONAL(5.0,8.0); + t19902 = t19611*t19600; + t19901 = t19611*t19519; + t19896 = t19611*t19598; + t19895 = t18555+t19609*t19926; + t19893 = t19066+t18546; + t19882 = t19553*t19608; + t19881 = t19609*t19452; + t19880 = t19611*t19456; + t19371 = RATIONAL(49.0,54.0); + t19861 = t19371*t19609; + t18833 = RATIONAL(-25.0,36.0)*t19966; + t19860 = t18550+t18833; + t19180 = t19484*t20098; + t19101 = t19496*t20098; + t19102 = t19480*t20098; + t18988 = t19377*t20098; + t19846 = t19609*t20105; + t19843 = x*t19875; + t19840 = x*t19946; + t19839 = t19513*t20112; + t18872 = t19451*t20099; + t18874 = t19458*t20099; + t18920 = t19447*t20099; + t19832 = t19551*t20125; + t19827 = t19479*t20125; + t19821 = t19562*t20125; + t19818 = x*t20021; + t19811 = t19611*t20088; + t19804 = t19584*t20125; + t19788 = t19449*t20125; + t19783 = x*t20009; + t19780 = x*t19996; + t19778 = t19453*t20112; + t19777 = t19515*t20125; + t19052 = z*t20044; + t19767 = t19506*x+t19550; + t19766 = RATIONAL(25.0,8.0)+RATIONAL(-35.0,8.0)*x; + t19488 = RATIONAL(-1.0,12.0); + t19764 = t19473+t19488*x; + t19577 = RATIONAL(1.0,2.0); + t19763 = RATIONAL(-7.0,4.0)*x+t19577; + t19762 = t19553*x+t19528; + t19213 = t19611*t19907; + t18558 = x*t19052; + t19760 = t18557+t18558+z*t19783; + t19759 = x*t20110+t18571+z*t19807; + t18959 = t19451*t19977; + t19758 = t18619+t19920*t20145+t18645; + t19757 = t19400*t20072+t18222+t18546; + t19756 = z*t19806+t18558+x*t20073; + t19755 = t18527+t19605*t19856+t18284; + t19754 = y*t19840+t18652+t18502; + t19596 = RATIONAL(-1.0,6.0); + t19753 = t18545+t19596*t20071+t18538; + t19752 = t18549+x*t18806+t18512; + t19559 = RATIONAL(64.0,9.0); + t18359 = t19559*t20067; + t19751 = t18359+t19455*t20072+z*t20106; + t19750 = t19525*t20072+z*t20124+t18554; + t18709 = RATIONAL(-175.0,18.0)*t19966; + t19749 = t18498+t20317; + t19748 = t18229+t18225+x*t18799; + t19509 = RATIONAL(-80.0,9.0); + t19747 = t18456+t19509*t20072+t18359; + t19746 = t18467+t19608*t19839+t18284; + t19745 = t18567+t19610*t19807+x*t20057; + t19744 = z*t20140+t19915*t20147+t18462; + t19743 = t18352+x*t18920+t18332; + t18489 = t19610*t19831; + t19742 = t18489+t18344+t18221; + t18218 = t19359*t20067; + t18348 = z*t20064; + t19741 = z*t19817+t18218+t18348; + t19740 = t18528+t18282+t20054*t20147; + t19739 = x*t20118+y*t19849+t18620; + t19738 = t19557*t19853+t19565*t20114+t18498; + t19737 = t18567+t20305; + t19736 = t18377+x*t19102+t18474; + t19439 = RATIONAL(-49.0,48.0); + t18190 = RATIONAL(343.0,288.0)*t19857; + t18210 = y*t19768; + t19735 = t19439*t19853+t18190+t18210; + t18318 = RATIONAL(128.0,9.0)*t19857; + t19734 = t19410*t19856+t18318+t19491*t20075; + t18351 = z*t19824; + t19733 = z*t19777+t18351+t18534; + t19732 = t18565+x*t20041+t19608*t19843; + t18621 = y*t19772; + t19731 = t18621+(t19843+t20121)*y; + t18876 = t19451*t19980; + t19730 = t19399*t20114+t19328*t19853+t18288; + t19729 = t18613+y*t19796+t18530; + t18325 = t19610*t19846; + t18220 = t19608*t19768; + t19728 = t18325+t18220+t18530; + t18357 = t19610*t19817; + t19727 = t18349+t18220+t18357; + t19726 = t18549+x*t20008+t19610*t19803; + t19725 = t18548+(t19803+t20131)*z; + t19481 = RATIONAL(56.0,9.0); + t18366 = t19481*t19857; + t19724 = t18366+t20385; + t19723 = t19238+z*t19810+t18566; + t18440 = t19532*t20069; + t19460 = RATIONAL(80.0,9.0); + t19722 = t18440+t19460*t20071+t18464; + t19721 = t18621+t18652+y*t19780; + t18601 = t20024*t20147; + t19720 = t18601+t19608*t19840+t18550; + t18444 = x*t19104; + t19719 = t18444+t18458+t18366; + t19718 = y*t19808+t18648+t19240; + t19717 = t18601+t18565+t19608*t19780; + t19716 = t18351+z*t19798+t18348; + t19715 = t18528+z*t19846+t18218; + t19714 = t18458+x*t19101+t18459; + t19713 = t18440+t19438*t20071+y*t20126; + t18234 = x*t18875; + t19712 = t18229+t18344+t18234; + t19711 = t18339+x*t18872+t18342; + t19710 = t18501+y*t19787+t18546; + t18231 = RATIONAL(-128.0,9.0)*t19857; + t18436 = t19559*t20069; + t19445 = RATIONAL(160.0,9.0); + t19709 = t19445*t19853+t18231+t18436; + t18191 = RATIONAL(-343.0,288.0)*t19857; + t19708 = t18292+t19357*t19853+t18191; + t19419 = RATIONAL(-49.0,54.0); + t19707 = t19492+t19419*t19609; + t19706 = t19492+t19419*t19611; + t18424 = t19611*t19844; + t19703 = t18424+t18977+t20002; + t19702 = t19610*t19873+t19609*t19818+t20025; + t19701 = t19611*t19823+t18710+t20046; + t19700 = t19611*t19846+t19128+t20037; + t18766 = t19391*t19966; + t19699 = t18871+t18567+t19609*t19780+t18766; + t19138 = t19609*t19911; + t19698 = t18229+t19138+t19609*t19811+t18885; + t19697 = t19611*t19788+t19608*t19993+t20007; + t19696 = t19609*t19775+t19156+t20362; + t19695 = x*t19213+t19209+t19895; + t19694 = t19514*t19980+t18424+t19909; + t19693 = t19611*t19799+t19609*t19914+t20253; + t19692 = t19610*t19898+t19611*t19783+t19895; + t18778 = t19441*t19980; + t19691 = t18384+t18778+t20327; + t19690 = t19382*t19977+t18298+t20345; + t19689 = t18795+t19611*t19805+t20275; + t19688 = t19609*t19771+t18691+t20029; + t19687 = t18622+t18502+t19484*t19977+t19180+t19987; + t19390 = RATIONAL(35.0,27.0); + t18922 = t19390*t19966; + t19686 = t19521*t19856+t18565+t18922+t18634+t20395*t19391; + t19685 = t18573+z*t19886+t19323*t19980+t18554+t20042; + t18729 = RATIONAL(490.0,27.0)*t19966; + t19684 = t19467*t20114+t19466*t19611+t19356*t19977+t19374*t19853+t18231+ +t18729; + t19683 = t19070+z*t20009+t19609*t19976+t19752; + t19682 = t18935+t19195+t18920+t18220+t18378+t18351; + t19681 = t18709+t19367*t19977+t19354*t20098+t19506*t19853+t18436+t18366; + t19680 = t19310+t19606*t19977+t19987+t20354; + t19679 = z*t19913+t19339*t19980+t18221+t19128+t20258; + t19678 = t18718+t19305+t19204+t19738; + t19677 = t18959+t18971+t19138+t19712; + t18828 = t19611*t19861; + t19676 = t19610*t19867+t18828+t19297+t19732; + t19047 = t19496*t19966; + t19675 = t19047+t19476*t19977+t19597*t19611+t19738; + t19095 = t19529*t19966; + t19674 = t19095+t19369*t19977+t19378*t20098+t19727; + t18672 = RATIONAL(125.0,24.0)*t19966; + t19673 = t18672+t19489*t20099+t19344*t19980+t19746; + t19672 = t19329*t19980+t18584+t18548+z*t19918+t20016; + t19069 = t19514*t20099; + t19671 = t19278+t19069+t19448*t19980+t19755; + t19670 = t18803+t18701+t18874+t19755; + t19669 = t19047+t19597*t19609+t19476*t19980+t19749; + t19668 = t19608*t19774+t19409*t19980+t18376+t19517*t20099+t20007; + t19667 = t20318+t18603+t18552+(t19963+t20077)*t19611; + t18678 = RATIONAL(-350.0,27.0)*t19966; + t19666 = t19332*t20099+t19336*t19980+t19435*t19856+t18368+t18678+t18318; + t19665 = t19442*t20098+t18624+t18556+t19346*t19977+t19987; + t19664 = t19362*t19980+t18886+t19609*t20083+t19720; + t19426 = RATIONAL(1.0,216.0); + t18917 = t19426*t19966; + t19663 = t18917+t18328+t18329+x*t18783+t20396*t19412; + t19662 = t19387*t19980+t18462+t18473+z*t20051+t20016; + t19661 = t19303+t19456*t19980+t18766+t19737; + t19660 = t19382*t20098+t19611*t19862+t19128+t19742; + t19659 = t18709+t19550*t19977+t19508*t19611+t19724; + t19658 = t20002+t20308+(t19529+t19973)*t19609; + t19657 = t19610*t19777+t18536+t19611*t20093+t19409*t19977+t20007; + t19059 = z*t19912; + t19656 = t19059+t19610*t19912+t18548+t18646+t20042; + t19655 = t18803+t19423*t20075+t18284+t19326*t19856+t19595*t19609+t19597* +t19980; + t19654 = t19425*t20099+t18922+t19375*t19980+t19717; + t19268 = t19609*t19902; + t19653 = t19427*t19853+t18213+y*t19892+t19431*t19977+t18191+t19268; + t19652 = t19395*t19980+t18803+z*t19981+t19746; + t19651 = x*t18854+t18528+t19125+t19120+t19860; + t19650 = z*t19881+t19401*t19980+t18397+t18566+t20316; + t19649 = t18334+t18545+t19349*t19977+y*t19308+t20312; + t19648 = t18709+t19102+t19093+t19719; + t19647 = t19526*t19980+t18402+t18462+t19543*t20099+t20331; + t19646 = t18255+t18492+z*t19936+t19272+t19909; + t19408 = RATIONAL(25.0,54.0); + t18782 = t19408*t19966; + t19645 = t19536*t20099+t19610*t19881+t18782+t19717; + t19644 = t18545+t19022+t18312+t19563*t19977+t20046; + t19643 = t18349+t18347+t20380+t20133*t19911; + t19642 = t19213+t19748+t20395*t19446; + t19641 = t19488*t19609+t19266+t20029+t20382; + t19640 = t18940+t18988+t18501+t18560+t19903; + t19639 = t18872+t18876+t19138+t19748; + t19638 = t20025+t19298+t19609*t19870+(t19882+t19150)*x; + t19637 = t19095+t18220+t19350*t19853+t18210+t20396*t19477; + t19021 = t19488*t19966; + t19636 = t19611*t19827+t18230+t19021+t19447*t20146+t20037; + t19635 = z*t19944+t18286+x*t18716+t19601*t19980+t20016; + t19634 = t19384*t20098+t19368*t19977+t18641+t18645+t19903; + t19633 = t18766+t19608*t19880+t19308+t19745; + t19632 = t18762+t19069+t19610*t19938+t19752; + t19631 = t18575+t19422*t20099+t18558+t19352*t19980+t19909; + t19630 = t19047+t19611*t19832+t18949+t18498+t20003; + t19629 = t20251+t20326+t20133*t19926; + t19628 = t19227+t19514*t19852+t19895+t19947; + t19627 = t18854+t19293+t19581*t19977+t19726; + t19337 = RATIONAL(35.0,108.0); + t19626 = t18651+t19337*t19977+t18648+y*t19880+t19860; + t19625 = t19311+t18922+t19397*t19980+t19732; + t19274 = t19609*t19896; + t19624 = t19611*t19924+t18611+t18501+t19274+t18288+y*t19941; + t19079 = t19489*t19966; + t19623 = t19079+t19609*t19916+t19082+t18366+t20244; + t19189 = t19611*t19915; + t19622 = t19503*t19980+t19605*t19609+t18366+t19189+t20266; + t19621 = t18687+t18465+t18677+t18474+t18288+t19101; + t19620 = t19095+y*t20021+t19081+t19728; + t18948 = t19383*t19966; + t19619 = t18948+t19320+t19396*t19977+t19745; + t19618 = t19163+t19285+t19488*t19611+t19726; + t19617 = t19307+t19608*t19901+t20025+(t19232+t19950)*x; + t18777 = RATIONAL(-25.0,16.0)*t19966; + t19616 = t19386*t19977+t18283+t19338*t19853+t18190+y*t19919+t18777; + t19421 = RATIONAL(25.0,96.0); + t18755 = t19421*t19966; + t19615 = t19059+t18755+t19351*t19980+t18307+t18220+t18492; + t19614 = t19337*t19980+t19609*t20074+t18833+t19720; + t19602 = RATIONAL(4.0,1.0); + t19599 = RATIONAL(-4.0,1.0); + t19594 = RATIONAL(4.0,3.0); + t19583 = RATIONAL(1.0,4.0); + t19570 = RATIONAL(-8.0,3.0); + t19569 = RATIONAL(8.0,3.0); + t19560 = RATIONAL(-49.0,6.0); + t19552 = RATIONAL(-5.0,24.0); + t19539 = RATIONAL(2.0,27.0); + t19538 = RATIONAL(-56.0,3.0); + t19531 = RATIONAL(10.0,1.0); + t19527 = RATIONAL(-10.0,3.0); + t19523 = RATIONAL(-10.0,1.0); + t19522 = RATIONAL(10.0,3.0); + t19504 = RATIONAL(-16.0,9.0); + t19500 = RATIONAL(49.0,6.0); + t19497 = RATIONAL(-25.0,6.0); + t19468 = RATIONAL(35.0,8.0); + t19459 = RATIONAL(40.0,9.0); + t19434 = RATIONAL(-1.0,216.0); + t19432 = RATIONAL(-80.0,27.0); + t19430 = RATIONAL(-25.0,54.0); + t19407 = RATIONAL(80.0,27.0); + t19402 = RATIONAL(-25.0,96.0); + t19389 = RATIONAL(49.0,27.0); + t19379 = RATIONAL(25.0,12.0); + t19366 = RATIONAL(175.0,54.0); + t19365 = RATIONAL(-392.0,27.0); + t19364 = RATIONAL(392.0,27.0); + t19363 = RATIONAL(-175.0,54.0); + t19358 = RATIONAL(-175.0,96.0); + t19348 = RATIONAL(196.0,27.0); + t19347 = RATIONAL(100.0,27.0); + t19345 = RATIONAL(-112.0,27.0); + t19343 = RATIONAL(-100.0,27.0); + t19342 = RATIONAL(175.0,96.0); + t19340 = RATIONAL(200.0,27.0); + t19335 = RATIONAL(-196.0,27.0); + t19334 = RATIONAL(112.0,27.0); + t19333 = RATIONAL(343.0,54.0); + t19331 = RATIONAL(-343.0,54.0); + t19322 = RATIONAL(-200.0,27.0); + t19281 = y*t20047; + t19271 = z*t19989; + t19263 = t19610*t20117; + t19257 = y*t19988; + t19255 = t19608*t20119; + t19246 = z*t20142; + t19231 = z*t20043; + t19229 = t19608*t20082; + t19222 = t19462*t20123; + t19220 = y*t19973; + t19217 = t19476*t20123; + t19212 = t19519*t20123; + t19206 = t19608*t20083; + t19205 = t19540*t20123; + t19191 = t19567*t20123; + t19182 = t19504*t20053; + t19174 = t19608*t19910; + t19157 = t19608*t20122; + t19148 = y*t20122; + t19146 = z*t19874; + t19144 = t19546*t20137; + t19143 = y*t19910; + t19140 = y*t19869; + t19137 = t19530*t20137; + t19136 = z*t19927; + t19135 = y*t19916; + t19132 = z*t19995; + t19130 = z*t20012; + t19123 = t19610*t20127; + t19122 = t19610*t20130; + t19121 = z*t19889; + t19117 = y*t19958; + t19114 = t19501*t20146; + t19109 = z*t19969; + t19106 = t19567*t20137; + t19091 = z*t19965; + t19071 = t19536*t20123; + t19040 = t19566*t20137; + t19038 = t19548*t20137; + t19035 = t19539*t20146; + t19027 = t19542*t20137; + t19026 = t19566*t20123; + t19025 = y*t19870; + t19024 = t19507*t20137; + t19018 = t19459*t20053; + t19011 = t19608*t20104; + t19007 = t19409*t20137; + t19005 = y*t19885; + t19004 = y*t19933; + t19001 = y*t19868; + t19000 = t19608*t19933; + t18998 = y*t19914; + t18985 = z*t19871; + t18984 = z*t20006; + t18983 = t19384*t20137; + t18973 = t19373*t20123; + t18964 = t19608*t19863; + t18963 = y*t20019; + t18957 = y*t19863; + t18956 = z*t19932; + t18952 = t19451*t20123; + t18946 = t19610*t20089; + t18945 = y*t19999; + t18943 = y*t19993; + t18942 = t19608*t20108; + t18939 = t19608*t20015; + t18931 = z*t20080; + t18930 = y*t20015; + t18927 = t19432*t20123; + t18925 = t19608*t20074; + t18923 = t19610*t20132; + t18913 = y*t20036; + t18911 = y*t20096; + t18910 = t19387*t20137; + t18908 = t19608*t20036; + t18905 = t19412*t20137; + t18904 = t19436*t20098; + t18902 = z*t20005; + t18901 = t19610*t20107; + t18898 = t19406*t20146; + t18896 = t19406*t20123; + t18892 = t19380*t20123; + t18890 = t19383*t20137; + t18889 = y*t19879; + t18888 = t19389*t20123; + t18883 = t19608*t20120; + t18880 = y*t20032; + t18877 = y*t19921; + t18873 = z*t20027; + t18869 = t19610*t20134; + t18867 = z*t19899; + t18860 = z*t20000; + t18856 = z*t19900; + t18852 = t19404*t20123; + t18849 = t19608*t20095; + t18844 = z*t19876; + t18841 = t19448*t20137; + t18839 = t19389*t20137; + t18838 = z*t19873; + t18835 = t19385*t20137; + t18834 = RATIONAL(-56.0,27.0)*t20146; + t18822 = z*t19952; + t18817 = t19390*t20123; + t18816 = t19407*t20123; + t18809 = t19390*t20137; + t18808 = t19407*t20137; + t18807 = t19608*t19999; + t18805 = t19432*t20137; + t18802 = t19610*t20109; + t18800 = z*t19940; + t18796 = z*t19897; + t18793 = z*t19898; + t18791 = RATIONAL(40.0,27.0)*t20146; + t18789 = y*t19949; + t18788 = t19447*t20123; + t18781 = t19610*t20006; + t18776 = z*t20004; + t18770 = t19610*t20077; + t18763 = t19385*t20123; + t18761 = z*t19963; + t18754 = RATIONAL(-16.0,27.0)*t20053; + t18753 = y*t20108; + t18752 = y*t19960; + t18737 = t19351*t20137; + t18732 = t19339*t20137; + t18731 = RATIONAL(-224.0,27.0)*t20053; + t18726 = t19362*t20137; + t18723 = RATIONAL(160.0,27.0)*t20053; + t18722 = t19334*t20123; + t18720 = z*t19862; + t18719 = t19361*t20123; + t18715 = y*t19878; + t18713 = t19352*t20123; + t18700 = z*t19865; + t18699 = y*t19908; + t18698 = RATIONAL(-49.0,432.0)*t20053; + t18694 = t19327*t20053; + t18686 = t19345*t20137; + t18685 = t19334*t20137; + t18681 = t19345*t20123; + t18680 = t19324*t20123; + t18664 = RATIONAL(49.0,864.0)*t20053; + t18654 = x*t19249; + t18649 = y*t19835; + t18643 = t19584*t20071; + t18640 = z*t19820; + t18636 = z*t19823; + t18635 = t19317*t20147; + t18628 = z*t19813; + t18626 = z*t19804; + t18623 = t19576*t20072; + t18616 = t19311*t20147; + t18610 = t19570*t20072; + t18607 = t19954*t20147; + t18606 = t19611*t20070; + t18605 = t19596*t20072; + t18604 = t19953*t20147; + t18602 = RATIONAL(245.0,288.0)*t20053; + t18596 = t19590*t20072; + t18595 = t19610*t19804; + t18594 = t19310*t20145; + t18593 = t19572*t20071; + t18590 = t19896*t20145; + t18588 = t19569*t20071; + t18587 = RATIONAL(-343.0,216.0)*t20053; + t18581 = t19578*t20071; + t18580 = t19570*t20071; + t18577 = RATIONAL(245.0,216.0)*t20053; + t18576 = y*t19771; + t18574 = t19611*t19240; + t18569 = y*t19854; + t18568 = y*t19818; + t18564 = x*t19250; + t18563 = t19569*t20072; + t18547 = t19301*t20145; + t18544 = t19494*t20072; + t18540 = t19494*t19853; + t18531 = y*t19800; + t18517 = t19608*t19792; + t18516 = z*t19794; + t18513 = z*t19834; + t18510 = z*t19785; + t18509 = z*t19830; + t18485 = y*t19774; + t18484 = t19504*t19853; + t18483 = z*t19781; + t18477 = y*t19792; + t18476 = x*t19096; + t18475 = t19309*t20147; + t18471 = t19493*t20071; + t18469 = x*t19180; + t18461 = z*t19832; + t18454 = t19555*t20072; + t18450 = t19610*t19821; + t18448 = t19460*t20072; + t18443 = t19541*t19853; + t18433 = x*t19028; + t18431 = y*t19815; + t18430 = t19298*t20147; + t18427 = x*t19017; + t18426 = t19504*t19856; + t18417 = x*t19233; + t18409 = t19509*t20071; + t18408 = t19534*t20071; + t18391 = y*t19811; + t18389 = t19608*t19811; + t18387 = y*t19841; + t18383 = y*t19850; + t18379 = t19307*t20145; + t18361 = y*t19784; + t18360 = y*t19775; + t18346 = t19939*t20145; + t18345 = z*t19788; + t18337 = x*t18876; + t18336 = x*t18959; + t18317 = x*t18866; + t18315 = y*t19801; + t18313 = x*t18874; + t18308 = y*t19855; + t18304 = t19609*t20062; + t18299 = y*t19773; + t18297 = z*t19790; + t18294 = t19930*t20147; + t18259 = t19439*t19856; + t18253 = x*t18988; + t18249 = y*t19778; + t18248 = t19445*t19856; + t18247 = y*t19802; + t18245 = t19608*t19778; + t18241 = y*t19786; + t18223 = t19327*t19856; + t18207 = t19611*t19769; + t18199 = t19609*t19795; + coeff_dxx_m2_m2_m2 = t18781+t18336+t18337+t18341+t18905+t18911+t18984+ +t19426*t19761+(t20133*t19426+(t19429+t19528*x)*t19609)*t19611+t19711+t20314; + coeff_dxx_m1_m2_m2 = t19011+t18345+t18486+t18234+t19642+t19004+t19000+ +t19990+t20355+t20381; + coeff_dxx_0_m2_m2 = t19667+t18964+t18568+t18564+t19606*t19852+t18957+ +t19985+t19991+t20215; + coeff_dxx_p1_m2_m2 = t18807+t19629+t18942+t18654+t19580*t19852+t18945+ +t18753+t19760+t20231; + coeff_dxx_p2_m2_m2 = t18939+t18931+t18952+t18346+t18363+t18930+t19643+ +t19716+t20180; + coeff_dxx_p3_m2_m2 = t18908+t18896+t19663+t18898+t18299+t19547*t19852+ +t18913+t19743+t20174; + coeff_dxx_m2_m1_m2 = y*t19901+t18544+t18540+t18902+t19642+t19974+t20194+ +t20249; + coeff_dxx_m1_m1_m2 = t19152+t19144+t18547+t18700+t18223+t19421*t19761+ +t19649+t19757+t20313; + coeff_dxx_0_m1_m2 = t18643+t18640+t19634+t19117+t19934+t20182+t20230; + coeff_dxx_p1_m1_m2 = t18649+t18636+t18680+t19106+t19626+t20030+t20149+ +t20265; + coeff_dxx_p2_m1_m2 = t18531+t18822+t19620+t19089+t19092+t19715+t20214+ +t20386; + coeff_dxx_p3_m1_m2 = t18800+t18537+t19657+t18802+t19012+t19733+t20229+ +t20371; + coeff_dxx_m2_0_m2 = t19212+t20139*t19470+(t19539*t19608+t19764)*t19611+ +t19750+t20215+t20318+t20324+t20329; + coeff_dxx_m1_0_m2 = t19485*t20112+t19205+t20139*t19529+t19627+t19725+ +t20230+t20290; + coeff_dxx_0_0_m2 = t18426+t19611*t20076+t18860+t19619+t19759+t20139*( +t19533+t19861)+t20261; + coeff_dxx_p1_0_m2 = t18925+t19594*t20112+t20139*t19540+t19686+t20168+ +t20245+t20286; + coeff_dxx_p2_0_m2 = t19611*t20092+t19271+t20139*t19488+t19680+t20164+ +t20296+t20341; + coeff_dxx_p3_0_m2 = t19611*t20084+t20139*t19528+t19617+t19756+t19928+ +t20247+t20309; + coeff_dxx_m2_p1_m2 = t18537+t19142+t18509+t19136+t18558+(t19542*y+t19495* +t19608)*t19611+t20183+t20231+t20256+t20326; + coeff_dxx_m1_p1_m2 = t18531+t19130+t19122+t18317+t19651+t18530+t20149+ +t20188; + coeff_dxx_0_p1_m2 = t18844+t18649+t18513+t19686+t19951+t19983+t20186+ +t20298; + coeff_dxx_p1_p1_m2 = t18426+t18796+t18643+t19408*t19761+t20034+t20218+ +t20219+t20316+t20344; + coeff_dxx_p2_p1_m2 = t19255+t18547+t18313+t19656+t19893+t19964+t20192+ +t20239; + coeff_dxx_p3_p1_m2 = t19231+t18835+t18516+t19628+t20155+t20228+t20249; + coeff_dxx_m2_p2_m2 = t18998+t18976+t18351+t19434*t20098+t18299+t18956+ +t20180+t20197+t20302+t20320+t20380; + coeff_dxx_m1_p2_m2 = t18943+t18346+t18720+t19674+t19741+t20173+t20214; + coeff_dxx_0_p2_m2 = t18923+t18719+t19665+t18654+t20164+t20221+t20279; + coeff_dxx_p1_p2_m2 = t18713+t18628+t18568+t19656+t18901+t20152+t20157; + coeff_dxx_p2_p2_m2 = t18489+t18889+t18223+t18973+t19535*t19761+t19636+ +t20355+t20372+t20387; + coeff_dxx_p3_p2_m2 = t18873+t18869+t19639+t20177+t20212+t20276+t20314; + coeff_dxx_m2_p3_m2 = t19434*t19977+t18917+t18852+t20056+t20059+t20174+ +t20263; + coeff_dxx_m1_p3_m2 = t18849+t18304+t18351+t19697+t20229+t20270; + coeff_dxx_0_p3_m2 = t18838+t18558+t18481+t18739+t19702+t20288+t20309; + coeff_dxx_p1_p3_m2 = t18483+t18793+t19692+t20155+t20272; + coeff_dxx_p2_p3_m2 = t18297+t18788+t19639+t20349+t20367; + coeff_dxx_p3_p3_m2 = t18336+t18776+t19406*t19761+t20050+t20253+t20285+ +t20392; + coeff_dxx_m2_m2_m1 = t18477+t19213+t19007+t19519*t20099+t18517+t19712+ +t19928+t20194+t20379+t20381; + coeff_dxx_m1_m2_m1 = t18737+t19229+t18510+t18315+t19421*t19765+t20026+ +t20167+t20312+t20313+t20332; + coeff_dxx_0_m2_m1 = t18569+t19206+t18726+t18566+t19640+t18626+t20182+ +t20213; + coeff_dxx_p1_m2_m1 = t19614+t19191+t18699+t18623+t19110+t19754+t20181+ +t20265; + coeff_dxx_p2_m2_m1 = t19074+t18308+t19637+t18789+t19906+t20233+t20281+ +t20386; + coeff_dxx_p3_m2_m1 = t18883+t18483+t18485+t19668+t19948+t20060+t20216+ +t20371; + coeff_dxx_m2_m1_m1 = t18475+RATIONAL(25.0,32.0)*t19852+t19146+t18698+ +t19649+t19137+t19148+t20167+t20259; + coeff_dxx_m1_m1_m1 = t18602+t18856+t18294+t18910+t19114+(t19403*z+t19358* +t19610)*t19609+(t19358*t19608+t19403*y+(RATIONAL(-175.0,32.0)*x+RATIONAL(125.0, +32.0))*t19609)*t19611+t19708+t20364+t20369; + coeff_dxx_0_m1_m1 = t18461+RATIONAL(25.0,2.0)*t19852+t18587+t19621+t18890 ++t18834+t20052+t20208+t20340; + coeff_dxx_p1_m1_m1 = t18791+t18458+t18577+t19673+t18471+RATIONAL(-25.0, +2.0)*t19852+t18809+t18817+t20178+t20361; + coeff_dxx_p2_m1_m1 = t19055+t19616+t19246+t18694+RATIONAL(175.0,32.0)* +t19852+t19065+t20199+t20306+t20307; + coeff_dxx_p3_m1_m1 = t18454+t19035+t18325+t18761+t18664+t18770+t19615+ +RATIONAL(-25.0,32.0)*t19852+t19729+t20325; + coeff_dxx_m2_0_m1 = x*t19902+t19606*z+t19222+t19971+t19627+t19723+t20213+ +t20319; + coeff_dxx_m1_0_m1 = t19217+t18687+t19416*t19610+t19597*z+(t19508*t19608+ +t19766)*t19611+t19730+t19744+t20208+t20321; + coeff_dxx_0_0_m1 = t19531*t20112+t18722+(t19405+t19331*t19609)*t19610+( +t19335*t19609+t19503)*z+t19678+t20254+t20274+t20391; + coeff_dxx_p1_0_m1 = t18927+t19659+t19523*t20112+t19476*z+t19970+t19751+ +t20202+t20365; + coeff_dxx_p2_0_m1 = t19267+t19468*t20112+t19485*t19610+t19652+t20110+ +t20150+t20282+t20390; + coeff_dxx_p3_0_m1 = t19664+t19571*z+t19611*t20111+t19979+t19157+t20162+ +t20356+t20388; + coeff_dxx_m2_p1_m1 = t19614+t18616+t19140+t19132+t19729+t20188+t20198; + coeff_dxx_m1_p1_m1 = t18476+t18841+t19121+(t19497*t19608+t19379*y)*t19611 ++t19673+t20223+t20307+t20330; + coeff_dxx_0_p1_m1 = t18839+t18681+t19648+t18471+t19747+t20202+t20210; + coeff_dxx_p1_p1_m1 = t18816+t18448+(t19343*z+t19363*t19610)*t19609+t19992 ++t20184+t20222+t20274+t20331+t20340; + coeff_dxx_p2_p1_m1 = t18433+t19243+t19662+t19044+t20153+t20227+t20364; + coeff_dxx_p3_p1_m1 = t18752+t18604+t19644+t19026+t18566+t20195+t20226+ +t20259; + coeff_dxx_m2_p2_m1 = t18635+t18485+t19674+t19005+t19997+t20023+t20233+ +t20250; + coeff_dxx_m1_p2_m1 = t18732+t18985+t18308+t18777+(t19402*y+t19342*t19608) +*t19611+t19735+t19740+t20199+t20203; + coeff_dxx_0_p2_m1 = t18715+t18563+t18888+t19652+t19100+t19754+t20185+ +t20346; + coeff_dxx_p1_p2_m1 = t18892+t18569+t19662+t18610+t20028+t20205+t20225; + coeff_dxx_p2_p2_m1 = t19049+t18315+t18607+t18880+(t20128+t20008)*t19609+ +t19653+t19893+t20268+t20369; + coeff_dxx_p3_p2_m1 = t18867+t18605+t18477+t19660+t18877+t19947+t20148+ +t20336; + coeff_dxx_m2_p3_m1 = t18430+t19231+t19668+t20270+t20373; + coeff_dxx_m1_p3_m1 = t19109+t18199+t19402*t19977+t18427+t19615+t20351; + coeff_dxx_0_p3_m1 = t19091+t18596+t19664+t20273+t20278; + coeff_dxx_p1_p3_m1 = t19071+t19701+t20010+t20195+t20334; + coeff_dxx_p2_p3_m1 = t18417+t19052+t19700+t20148+t20333; + coeff_dxx_p3_p3_m1 = t18517+t18763+(t20120+t19984)*t19609+t19690+t19945+ +t20240; + coeff_dxx_m2_m2_0 = t19025+t20133*t19470+(t19539*t19610+t19764)*t19609+ +t19667+t20324+t20342+t20377; + coeff_dxx_m1_m2_0 = t19829+t19220+t20133*t19529+t19640+t20170+t20290+ +t20304; + coeff_dxx_0_m2_0 = t19609*t20076+t18948+t18983+t18484+t19737+t19739+ +t20133*(t19371*t19611+t19533)+t20261+t20375; + coeff_dxx_p1_m2_0 = t18963+t19594*t20125+t20133*t19540+t19625+t19731+ +t20232+t20286; + coeff_dxx_p2_m2_0 = t19816+t19263+t20133*t19488+t19687+t20156+t20237+ +t20296; + coeff_dxx_p3_m2_0 = t19609*t20084+t18904+t20133*t19528+t19638+t19974+ +t20247+t20251+t20269; + coeff_dxx_m2_m1_0 = t19143+t20038+t19634+t19600*t20125+t20115+t20170+ +t20319+t20347; + coeff_dxx_m1_m1_0 = t19416*t19608+t19597*y+t19123+(t19508*t19610+t19766)* +t19609+t19621+t20310+t20321+t20337; + coeff_dxx_0_m1_0 = t19531*t20125+t18450+t18685+t18718+(t19331*t19611+ +t19405)*t19608+(t19335*t19611+t19503)*y+t19713+t19749+t20254+t20284; + coeff_dxx_p1_m1_0 = t19415*t19608+t20127+t19523*t20125+t19681+t18805+ +t20169+t20350+t20365; + coeff_dxx_p2_m1_0 = t19485*t19608+t19468*t20125+t20118+t19265+t19655+ +t20163+t20359+t20390; + coeff_dxx_p3_m1_0 = t19658+t19525*t19608+t19609*t20111+t19038+t20117+ +t19718+t20172+t20356; + coeff_dxx_m2_0_0 = t18754+t19588+t20049*t19590+(t19577+t20054+(t19598+ +t19405*t19609)*t19611)*x+t19619+t20305+t20375; + coeff_dxx_m1_0_0 = RATIONAL(5.0,2.0)+t19018+t20049*t19522+(RATIONAL(-7.0, +2.0)+t19500*t19609+(t19500+RATIONAL(-343.0,18.0)*t19609)*t19611)*x+t19678+ +t20284+t20317; + coeff_dxx_0_0_0 = t18731+t19565+RATIONAL(8.0,1.0)*x+t20049*t19564+(t19538 +*x+t19557+t19364*t19610)*t19609+(RATIONAL(-686.0,27.0)*t19609+t19557+t19364* +t19608+(t19538+RATIONAL(392.0,9.0)*t19609)*x)*t19611+t19734+t20322; + coeff_dxx_p1_0_0 = t18723+t19522+t20049*t19459+(RATIONAL(-392.0,9.0)* +t19966+RATIONAL(-8.0,1.0)+(t19611+t19609)*RATIONAL(56.0,3.0))*x+t19684+t20165; + coeff_dxx_p2_0_0 = RATIONAL(-1.0,1.0)+t19182+t20049*t19585+(RATIONAL(7.0, +2.0)+t19560*t19609+(t19560+RATIONAL(343.0,18.0)*t19609)*t19611)*x+t19622+t20385 ++t20389; + coeff_dxx_p3_0_0 = t19589+t19174+t20049*t19606+(t19954+RATIONAL(-1.0,2.0) ++(t19578+t19394*t19609)*t19611)*x+t19676+t20158; + coeff_dxx_m2_p1_0 = t19625+t20138+t20024+t19820+t19024+t19718+t20186+ +t20294; + coeff_dxx_m1_p1_0 = t19135+t19648+t19527*t19608+t19601*y+t19819+t20169+ +t20359+t20363; + coeff_dxx_0_p1_0 = t19821+t18686+t18729+(t19365*t19611+t19481)*t19608+( +t19348*t19611+t19516)*y+t19709+t20165+t20299+t20350; + coeff_dxx_p1_p1_0 = t18678+t18808+t19510*t19608+t19478*y+(t19340*t19610+ +t19767)*t19609+t19713+t19734+t20209+t20252; + coeff_dxx_p2_p1_0 = t19594*t19608+t19579*y+t19822+t19669+t19257+t20159+ +t20289+t20310; + coeff_dxx_p3_p1_0 = t19580*t19608+t19823+t19661+t19603*y+t19040+t20154+ +t20328+t20347; + coeff_dxx_m2_p2_0 = t19027+t19520*y+t20018+t19609*t20101+t19665+t20156+ +t20269+t20323; + coeff_dxx_m1_p2_0 = t19552*y+t19414*t19608+t19609*t20091+t19655+t19975+ +t20185+t20237+t20335; + coeff_dxx_0_p2_0 = t19599*t20125+t18443+t19001+(t19333*t19611+t19394)* +t19608+t19706*y+t19622+t19731+t20368; + coeff_dxx_p1_p2_0 = t19372*t19608+t19602*t20125+t19669+t18946+t19563*y+ +t19739+t20200+t20393; + coeff_dxx_p2_p2_0 = t19281+t19483*t19608+t19524*y+(t20057+t19763)*t19609+ +t19624+t20304+t20337+t20352; + coeff_dxx_p3_p2_0 = t19549*t19608+t19583*t20125+t19641+t19547*y+t19998+ +t20196+t20262+t20377; + coeff_dxx_m2_p3_0 = t20022+x*t19888+t19638+t20255+t20288; + coeff_dxx_m1_p3_0 = t19552*t19608+t19826+t19658+t20271+t20273; + coeff_dxx_0_p3_0 = t18595+t19825+t19706*t19608+t19676+t20293; + coeff_dxx_p1_p3_0 = t20012+t19828+t19661+t20283+t20292; + coeff_dxx_p2_p3_0 = t19524*t19608+t19827+t19641+t20241+t20315; + coeff_dxx_p3_p3_0 = t19547*t19608+(t20001+t19762)*t19609+t20327+t20339+ +t20342+t20360; + coeff_dxx_m2_m2_p1 = t18483+t19231+t18408+t19027+(t19495*t19610+t19542*z) +*t19609+t19629+t20183+t20300; + coeff_dxx_m1_m2_p1 = t18253+t19651+t19109+t19975+t20181+t20211+t20281; + coeff_dxx_0_m2_p1 = t19654+t19091+t18623+t19001+t19100+t19721+t20232+ +t20298; + coeff_dxx_p1_m2_p1 = t18626+t18946+t18484+t19071+t19408*t19765+t19650+ +t20219+t20338; + coeff_dxx_p2_m2_p1 = t19683+t19066+t18510+t19281+t19052+t19710+t20176+ +t20239; + coeff_dxx_p3_m2_p1 = t18763+t19628+t18360+t19998+t20175+t20206+t20379; + coeff_dxx_m2_m1_p1 = t18454+t19626+t19024+t19997+t20198+t20211+t20280; + coeff_dxx_m1_m1_p1 = t18672+t18985+t19135+(t19379*z+t19497*t19610)*t19609 ++t19714+t20178+t20223+t20306+t20353; + coeff_dxx_0_m1_p1 = t18409+t18888+t19681+t18686+t20171+t20210+t20361; + coeff_dxx_p1_m1_p1 = t18450+t18892+t18808+t18461+(t19363*t19608+t19343*y) +*t19611+t19647+t19722+t20222; + coeff_dxx_p2_m1_p1 = t18294+t19257+t19049+t19635+t19736+t20201+t20227; + coeff_dxx_p3_m1_p1 = t19632+t18867+t18475+t19040+t19758+t20179+t20226; + coeff_dxx_m2_0_p1 = t19654+t19854+t19580*z+t19968+t19132+t20168+t20294+ +t20388; + coeff_dxx_m1_0_p1 = t19659+t19836+t19601*z+t19527*t19610+t19121+t20171+ +t20282+t20363; + coeff_dxx_0_0_p1 = t18248+t18681+t19838+(t19365*t19609+t19481)*t19610+( +t19348*t19609+t19516)*z+t19684+t19751+t20299; + coeff_dxx_p1_0_p1 = t19478*z+t18816+t19982+(t19340*t19608+t19767)*t19611+ +t19666+t20252+t20322+t20391; + coeff_dxx_p2_0_p1 = t19675+t19243+t19839+t19579*z+t19594*t19610+t19744+ +t20207+t20289; + coeff_dxx_p3_0_p1 = t19633+t19840+t19026+t20119+t19976+t19723+t20190+ +t20328; + coeff_dxx_m2_p1_p1 = t19143+RATIONAL(25.0,18.0)*t19852+t18604+t19222+ +t19650+t18754+t19148+t19758+t20218; + coeff_dxx_m1_p1_p1 = t18433+t19123+x*t18709+t19647+t19114+t19018+t19217+ +t19736+t20184; + coeff_dxx_0_p1_p1 = t18731+t18685+t18448+t19666+t18834+t18722+RATIONAL( +200.0,9.0)*t19852+t19722+t20209; + coeff_dxx_p1_p1_p1 = t18805+t18248+t18723+t18791+t18927+t18409+(t19347*z+ +t19322*t19610)*t19609+(t19322*t19608+t19347*y+(RATIONAL(-200.0,9.0)*x+RATIONAL( +250.0,27.0))*t19609)*t19611+t19709+t19747; + coeff_dxx_p2_p1_p1 = t19623+t19267+t18444+t18476+t19246+t19182+t19265+ +RATIONAL(175.0,18.0)*t19852+t19714+t20376; + coeff_dxx_p3_p1_p1 = t19645+t19035+t18616+t19174+t19038+t19157+RATIONAL( +-25.0,18.0)*t19852+t20160+t20280; + coeff_dxx_m2_p2_p1 = t19683+t18605+t19146+t18360+t19025+t19929+t20152+ +t20343; + coeff_dxx_m1_p2_p1 = t18607+t18856+t19635+t19220+t19152+t19710+t20205+ +t20366; + coeff_dxx_0_p2_p1 = t18983+t19630+t18610+t20052+t20200+t20207+t20338; + coeff_dxx_p1_p2_p1 = t18563+t18817+t18963+t19110+t18443+(t19430*y+t19366* +t19608)*t19611+t19623+t19721+t20384; + coeff_dxx_p2_p2_p1 = t19263+t19055+t19089+t18253+t19278+(t19591*z+t19937) +*t19609+t19740+t20151+t20353+t20378; + coeff_dxx_p3_p2_p1 = t19151+t18635+t18761+t18556+t18408+t19646+t20187+ +t20191; + coeff_dxx_m2_p3_p1 = t19158+t19695+t19945+t20206+t20272; + coeff_dxx_m1_p3_p1 = t19229+t18417+t19632+t20257+t20334; + coeff_dxx_0_p3_p1 = t19206+t19699+t20010+t20190+t20292; + coeff_dxx_p1_p3_p1 = t19430*t19977+t18596+t19191+t18595+t19645+t20383; + coeff_dxx_p2_p3_p1 = t18427+t19074+t19646+t20358+t20394; + coeff_dxx_p3_p3_p1 = t18883+t18430+(t20129+t20013)*t19609+t19696+t20300+ +t20303; + coeff_dxx_m2_m2_p2 = t18391+t18852+t19434*t20099+t18389+t18778+t19643+ +t19005+t19743+t20197; + coeff_dxx_m1_m2_p2 = t18732+t18387+t19637+t18849+t19716+t20173+t20204; + coeff_dxx_0_m2_p2 = t19687+t18715+t18576+t18838+t19760+t20217+t20221; + coeff_dxx_p1_m2_p2 = t18564+t19685+t18574+t18793+t20028+t20157+t20176; + coeff_dxx_p2_m2_p2 = t18383+t18788+t18880+t18345+t19535*t19765+t19636+ +t20161+t20332; + coeff_dxx_p3_m2_p2 = t18776+t18431+t19677+t18877+t19711+t20177+t20234; + coeff_dxx_m2_m1_p2 = t18956+t19127+t19620+t18594+t19140+t19733+t20204+ +t20250; + coeff_dxx_m1_m1_p2 = t18590+t18259+t18720+t18841+(t19342*t19610+t19402*z) +*t19609+t19616+t19715+t20203; + coeff_dxx_0_m1_p2 = t18839+t18719+t18636+t19670+t18588+t19983+t20163+ +t20346; + coeff_dxx_p1_m1_p2 = t18713+t18640+t18580+t19672+t19992+t20201+t20225; + coeff_dxx_p2_m1_p2 = t18581+t18973+t19268+t19066+t19044+(t20039+t20141)* +t19611+t19708+t19757+t20235+t20268; + coeff_dxx_p3_m1_p2 = t19679+t18752+t18544+t19013+t18873+t19753+t20193+ +t20336; + coeff_dxx_m2_0_p2 = t20143+t19611*t20101+t19961+t19680+t19136+t19756+ +t20217+t20323; + coeff_dxx_m1_0_p2 = t19670+t19552*z+t19611*t20091+t19130+t19414*t19610+ +t20150+t20335+t20341; + coeff_dxx_0_0_p2 = t19189+t19599*t20112+t18844+(t19333*t19609+t19394)* +t19610+t19707*z+t19724+t20245+t20368+t20374+t20389; + coeff_dxx_p1_0_p2 = t19675+t18796+t19602*t20112+t19956+t19563*z+t19759+ +t20220+t20393; + coeff_dxx_p2_0_p2 = t19255+t19524*z+t19483*t19610+t19274+(t19986+t19763)* +t19611+t19725+t19730+t20189+t20352; + coeff_dxx_p3_0_p2 = t19231+t19618+t19583*t20112+t19547*z+t19978+t19750+ +t20224+t20262; + coeff_dxx_m2_p1_p2 = t18516+t19685+t19165+t19137+t19212+t19753+t20192+ +t20343; + coeff_dxx_m1_p1_p2 = t18313+t18581+t18910+t19205+t19672+t20026+t20153+ +t20366; + coeff_dxx_0_p1_p2 = t18860+t18580+t18890+t19630+t20159+t20220+t20344; + coeff_dxx_p1_p1_p2 = t18809+t18925+t18588+t19079+t18513+(t19430*z+t19366* +t19610)*t19609+t19719+t20030+t20374+t20376+t20384; + coeff_dxx_p2_p1_p2 = t18317+t18590+t19065+t19271+(t20041+t19591*y)*t19611 ++t19671+t19906+t20330+t20378; + coeff_dxx_p3_p1_p2 = t18509+t19631+t19158+t18770+t18594+t20166+t20191; + coeff_dxx_m2_p2_p2 = t18911+RATIONAL(1.0,8.0)*t19852+t18698+t19007+t19021 ++t18902+t18431+t19742+t20161+t20276+t20372; + coeff_dxx_m1_p2_p2 = t18700+t18383+t19653+RATIONAL(-7.0,8.0)*t19852+ +t18602+t18737+t19990+t20235+t20387; + coeff_dxx_0_p2_p2 = t18587+t18628+t18726+t18574+RATIONAL(2.0,1.0)*t19852+ +t19624+t19934+t19985+t20189; + coeff_dxx_p1_p2_p2 = t19671+RATIONAL(-2.0,1.0)*t19852+t18699+t18577+ +t18680+t18576+t18753+t20151+t20279; + coeff_dxx_p2_p2_p2 = t18822+t18789+t18694+t18259+t18387+t18931+(t19858+ +t20073)*t19609+(t20055+t20094+(RATIONAL(7.0,8.0)*x+t19587)*t19609)*t19611+ +t19735+t19741; + coeff_dxx_p3_p2_p2 = t18391+t18800+t19682+t18664+t18357+t18898+RATIONAL( +-1.0,8.0)*t19852+t20060+t20242+t20320; + coeff_dxx_m2_p3_p2 = t18984+t19698+t20050+t20234+t20367; + coeff_dxx_m1_p3_p2 = t18297+t19011+t19679+t20277+t20333; + coeff_dxx_0_p3_p2 = t18483+t19688+t19991+t20224+t20241; + coeff_dxx_p1_p3_p2 = t18481+t18942+t19631+t20267+t20394; + coeff_dxx_p2_p3_p2 = t18952+t19611*t19882+t18304+t18199+t19682+t20246; + coeff_dxx_p3_p3_p2 = t18896+t18389+(t20100+t19921)*t19609+t19689+t20059+ +t20301; + coeff_dxx_m2_m2_p3 = t18249+t19434*t19980+t18998+t18245+t19663+t20263; + coeff_dxx_m1_m2_p3 = t18247+t18943+t18349+t19697+t20216+t20311; + coeff_dxx_0_m2_p3 = t18923+t18655+t18904+t18881+t19702+t20011+t20264; + coeff_dxx_p1_m2_p3 = t18901+t19692+t20014+t20175+t20238; + coeff_dxx_p2_m2_p3 = t18889+t18241+t19677+t20260+t20349; + coeff_dxx_p3_m2_p3 = t18337+t18869+t19406*t19765+t19693+t20031+t20392; + coeff_dxx_m2_m1_p3 = t18379+t19142+t19657+t20311+t20373; + coeff_dxx_m1_m1_p3 = t18755+t18469+t18207+t19402*t19980+t19122+t19728+ +t20325+t20351; + coeff_dxx_0_m1_p3 = t18606+t19703+t19951+t20172+t20278; + coeff_dxx_p1_m1_p3 = t18593+t19701+t20034+t20179+t20357; + coeff_dxx_p2_m1_p3 = t18361+t19700+t19964+t20193+t20370; + coeff_dxx_p3_m1_p3 = t18835+t18540+(t19940+t20109)*t19611+t19925+t20240+ +t20248+t20345; + coeff_dxx_m2_0_p3 = t19923+t19535*t20112+t19617+t20255+t20264; + coeff_dxx_m1_0_p3 = t19545*t20112+t19552*t19610+t19703+t20162+t20271; + coeff_dxx_0_0_p3 = t18828+t19586*t20112+t19707*t19610+t20058+t20158+ +t20293; + coeff_dxx_p1_0_p3 = t19942+t19579*t20112+t19633+t20283+t20287; + coeff_dxx_p2_0_p3 = t19479*t20112+t19524*t19610+t19618+t20236+t20315; + coeff_dxx_p3_0_p3 = t19957+(t20048+t19762)*t19611+t19691+t20329+t20360; + coeff_dxx_m2_p1_p3 = t19151+t19695+t19925+t20228+t20238; + coeff_dxx_m1_p1_p3 = t18361+t19144+t19644+t20257+t20357; + coeff_dxx_0_p1_p3 = t19117+t18593+t19699+t20154+t20287; + coeff_dxx_p1_p1_p3 = t19106+t18606+t19430*t19980+t18782+t20058+t20160+ +t20383; + coeff_dxx_p2_p1_p3 = t19092+t18469+t19694+t20166+t20358; + coeff_dxx_p3_p1_p3 = t18379+t18802+(t19385*y+t20043)*t19611+t19696+t20256 ++t20295; + coeff_dxx_m2_p2_p3 = t18905+t19698+t20031+t20212+t20260; + coeff_dxx_m1_p2_p3 = t18241+t19004+t19660+t20277+t20370; + coeff_dxx_0_p2_p3 = t18957+t19688+t20014+t20196+t20236; + coeff_dxx_p1_p2_p3 = t18945+t19694+t20011+t20187+t20267; + coeff_dxx_p2_p2_p3 = t19195+t18930+t19609*t19950+t18247+t18207+t19727+ +t20242+t20246; + coeff_dxx_p3_p2_p3 = t18249+t18913+(t20134+t20027)*t19611+t19689+t20243+ +t20302; + coeff_dxx_m2_p3_p3 = t19609*t19778+t18781+t19693+t20285; + coeff_dxx_m1_p3_p3 = t19000+t19609*t19802+t19690+t20248; + coeff_dxx_0_p3_p3 = t18964+t19473*t19852+t19691+t20339; + coeff_dxx_p1_p3_p3 = t19611*t19781+t18807+t20295+t20303+t20362; + coeff_dxx_p2_p3_p3 = t19609*t19786+t18939+t20243+t20275+t20301; + coeff_dxx_p3_p3_p3 = t18245+t18908+t19428*t19980+(t20004+(t20116+t19406)* +t19609)*t19611+t20056; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-dxy.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-dxy.compute.c new file mode 100644 index 0000000..ac534b8 --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-dxy.compute.c @@ -0,0 +1,4201 @@ +fp t22181, + t22180, + t22725, + t22767, + t23068, + t22766, + t22737, + t22710, + t23067, + t22142, + t22178, + t22556, + t22575, + t22133, + t21715, + t23065, + t22134, + t22486, + t22769, + t22170, + t22756, + t21723, + t23064, + t22179, + t22097, + t22483, + t21544, + t22026, + t22541, + t21653, + t20976, + t23063, + t22140, + t22525, + t21706, + t22171, + t22688, + t22389, + t23062, + t22161, + t22576, + t22362, + t21156, + t22527, + t22375, + t22131, + t23061, + t22107, + t22555, + t21498, + t22074, + t22754, + t23060, + t22724, + t22713, + t22177, + t22401, + t20549, + t22001, + t23059, + t22110, + t22502, + t21441, + t20927, + t22014, + t22609, + t21627, + t20952, + t23058, + t21968, + t21963, + t21779, + t23057, + t22160, + t22445, + t22473, + t21463, + t23056, + t22162, + t21818, + t22033, + t20866, + t23055, + t21928, + t22529, + t21415, + t21899, + t22535, + t23054, + t22149, + t22547, + t22283, + t21159, + t23053, + t22452, + t22017, + t22004, + t22460, + t22436, + t20661, + t23052, + t21880, + t21185, + t21994, + t22626, + t23051, + t22105, + t20937, + t23050, + t22092, + t22465, + t22154, + t21836, + t23049, + t22077, + t22504, + t21671, + t22158, + t22669, + t22395, + t23048, + t23047, + t22175, + t23046, + t22132, + t22677, + t21696, + t22116, + t22715, + t22712, + t23045, + t22280, + t21923, + t20563, + t22738, + t22700, + t23044, + t21948, + t21350, + t22487, + t23043, + t22070, + t23042, + t22024, + t21816, + t23041, + t22652, + t21672, + t21974, + t21786, + t23040, + t21986, + t21299, + t21869, + t23039, + t22043, + t22577, + t22345, + t20731, + t21978, + t22657, + t21229, + t20467, + t23038, + t22173, + t22552, + t21739, + t22128, + t22726, + t23037, + t22564, + t22163, + t22321, + t22139, + t21114, + t23036, + t21887, + t21257, + t21703, + t23035, + t22046, + t21822, + t23034, + t21909, + t22490, + t21325, + t23033, + t21999, + t21889, + t22443, + t23032, + t22041, + t22545, + t21665, + t23031, + t22550, + t22277, + t20490, + t23030, + t23029, + t22102, + t21812, + t21915, + t22394, + t23028, + t21725, + t23027, + t21902, + t21768, + t22076, + t21802, + t23026, + t22023, + t22735, + t21594, + t21913, + t22742, + t23025, + t22120, + t20835, + t22111, + t23024, + t22095, + t22664, + t21810, + t23023, + t21278, + t20663, + t22153, + t21823, + t22427, + t23022, + t23021, + t22010, + t23020, + t22118, + t21613, + t22065, + t23019, + t21914, + t22138, + t21834, + t23018, + t22536, + t21237, + t22028, + t21808, + t22400, + t23017, + t21946, + t22762, + t22764, + t21967, + t21282, + t23016, + t21239, + t22137, + t23015, + t20608, + t23014, + t22749, + t21630, + t22743, + t21698, + t23013, + t21515, + t23012, + t22025, + t21794, + t22415, + t21847, + t22336, + t20458, + t23011, + t21770, + t23010, + t22060, + t21637, + t21922, + t22720, + t23009, + t22038, + t22513, + t21474, + t20908, + t23008, + t22058, + t22607, + t21542, + t20978, + t22059, + t23007, + t21209, + t23006, + t22022, + t22752, + t22416, + t23005, + t21499, + t23004, + t22104, + t21803, + t22423, + t23003, + t21876, + t22032, + t23002, + t21785, + t22760, + t22167, + t22418, + t23001, + t21530, + t23000, + t22083, + t22455, + t20457, + t22999, + t22566, + t22313, + t21037, + t22998, + t21944, + t22731, + t21991, + t22450, + t22997, + t22136, + t22597, + t21738, + t21950, + t21331, + t22996, + t22995, + t22071, + t22428, + t21954, + t20601, + t22994, + t22459, + t21541, + t22439, + t22993, + t22278, + t20706, + t22992, + t22106, + t22627, + t21485, + t21921, + t22403, + t22991, + t22054, + t20884, + t22990, + t21895, + t22474, + t21353, + t21935, + t20594, + t22989, + t20730, + t22988, + t22079, + t21612, + t22087, + t22987, + t22592, + t22477, + t21192, + t22986, + t21971, + t20657, + t22985, + t21549, + t22984, + t21624, + t22983, + t21932, + t22551, + t21261, + t22027, + t22982, + t22049, + t21789, + t22108, + t22981, + t22481, + t21458, + t22980, + t21016, + t22979, + t20672, + t21990, + t22978, + t22085, + t21662, + t22728, + t22977, + t22610, + t21372, + t21996, + t22734, + t22976, + t22975, + t22293, + t20562, + t22974, + t21981, + t22973, + t22088, + t21619, + t21608, + t22972, + t21851, + t21754, + t22534, + t22971, + t22540, + t21709, + t22057, + t22970, + t21805, + t22442, + t22969, + t22968, + t22016, + t21797, + t22099, + t21815, + t22967, + t21547, + t22755, + t22966, + t20859, + t22012, + t22965, + t22412, + t20874, + t22964, + t22094, + t20919, + t22963, + t20985, + t21961, + t22962, + t22568, + t22429, + t21919, + t22544, + t21341, + t20620, + t22961, + t22565, + t21618, + t20981, + t22960, + t21683, + t21346, + t22959, + t21191, + t21842, + t22958, + t21755, + t22957, + t22407, + t22956, + t21756, + t22955, + t22125, + t22458, + t21735, + t22954, + t21271, + t22953, + t22440, + t21886, + t22328, + t20697, + t22952, + t22156, + t21688, + t22951, + t22040, + t22276, + t20888, + t22164, + t22950, + t22052, + t22949, + t21796, + t21862, + t22948, + t22533, + t21356, + t20650, + t22947, + t22297, + t22946, + t21154, + t22945, + t22135, + t22944, + t21005, + t21819, + t21151, + t22943, + t21757, + t21940, + t22660, + t22942, + t21888, + t21364, + t22941, + t22746, + t22940, + t21960, + t22488, + t21783, + t22939, + t22659, + t21574, + t22938, + t21970, + t22289, + t22937, + t22063, + t21793, + t22936, + t21051, + t21977, + t22492, + t22935, + t22151, + t22934, + t22061, + t21809, + t21983, + t21771, + t22933, + t21953, + t21287, + t22503, + t21726, + t22932, + t20763, + t22931, + t21875, + t22930, + t22409, + t22929, + t22519, + t21578, + t22048, + t22928, + t22496, + t21711, + t22757, + t22709, + t22927, + t20837, + t22926, + t22388, + t20825, + t22925, + t21788, + t22924, + t21830, + t22923, + t22075, + t20783, + t22096, + t22922, + t22359, + t20891, + t21905, + t22617, + t21359, + t22921, + t21540, + t20757, + t22920, + t20813, + t22919, + t22918, + t21558, + t22485, + t22917, + t22123, + t21790, + t22916, + t22411, + t22532, + t21565, + t20967, + t22915, + t21906, + t22914, + t22029, + t22913, + t20680, + t21829, + t22444, + t22912, + t22653, + t21748, + t22911, + t21642, + t22910, + t22909, + t21918, + t22697, + t22003, + t22908, + t21973, + t22717, + t21412, + t22907, + t22906, + t22414, + t22905, + t22005, + t22406, + t21148, + t22647, + t22904, + t22062, + t22509, + t21845, + t22903, + t22714, + t22422, + t20613, + t22723, + t22426, + t22902, + t22641, + t21713, + t22733, + t22516, + t22441, + t22901, + t22042, + t20955, + t22051, + t22558, + t21849, + t22900, + t22899, + t22741, + t21655, + t22898, + t21985, + t22629, + t21898, + t22897, + t21140, + t22480, + t22435, + t22896, + t21113, + t21894, + t22611, + t22895, + t21300, + t21138, + t22894, + t21554, + t21903, + t22100, + t22687, + t22893, + t22765, + t22689, + t22892, + t22433, + t20684, + t22491, + t22891, + t22747, + t21401, + t22506, + t21649, + t22620, + t21491, + t22890, + t22889, + t21951, + t22518, + t21213, + t21910, + t22468, + t22888, + t22039, + t22539, + t21490, + t21105, + t22887, + t21868, + t22119, + t21893, + t22467, + t22886, + t22573, + t22397, + t20607, + t21966, + t22732, + t22113, + t22431, + t22885, + t20397, + t21799, + t22884, + t20862, + t21861, + t22883, + t21760, + t22701, + t22882, + t22478, + t21988, + t21975, + t22881, + t21987, + t20624, + t21459, + t22421, + t22880, + t20922, + t22449, + t22640, + t22879, + t22168, + t21841, + t22878, + t22020, + t20807, + t22035, + t22475, + t22067, + t22877, + t20775, + t22876, + t22089, + t22875, + t20861, + t21795, + t21997, + t22874, + t22634, + t22417, + t22873, + t22593, + t22716, + t22872, + t22009, + t22871, + t22768, + t22698, + t21172, + t21933, + t22870, + t20828, + t22086, + t22869, + t22050, + t21480, + t20896, + t22868, + t21482, + t21702, + t22679, + t22867, + t20561, + t22866, + t22865, + t21468, + t22405, + t21088, + t22864, + t22030, + t22343, + t22863, + t22623, + t20932, + t22862, + t21657, + t22523, + t22694, + t21697, + t21082, + t22861, + t22635, + t22045, + t20805, + t22117, + t22860, + t22531, + t21457, + t22675, + t21636, + t21391, + t22605, + t22859, + t22666, + t21721, + t21529, + t22574, + t22858, + t20925, + t22275, + t20470, + t22857, + t22393, + t20704, + t22472, + t22856, + t22855, + t22730, + t21664, + t21998, + t22645, + t22031, + t22854, + t22410, + t20707, + t22497, + t22853, + t21215, + t22852, + t22561, + t22402, + t20630, + t22438, + t22851, + t21431, + t20641, + t22850, + t21838, + t22172, + t21072, + t22670, + t22849, + t21931, + t22638, + t22848, + t22671, + t21746, + t21147, + t21658, + t20899, + t22847, + t22396, + t22037, + t22678, + t22846, + t21763, + t21420, + t22845, + t21227, + t22612, + t22844, + t22524, + t21843, + t22843, + t20690, + t22554, + t22281, + t22842, + t21071, + t22579, + t22841, + t22614, + t22069, + t20821, + t22840, + t22386, + t21660, + t20481, + t22839, + t22838, + t22837, + t21084, + t22836, + t20853, + t22835, + t20986, + t22834, + t20799, + t22833, + t22424, + t21638, + t22832, + t22586, + t22831, + t21576, + t22830, + t22705, + t22829, + t20732, + t22667, + t21450, + t21169, + t21787, + t22828, + t22072, + t21962, + t22692, + t22827, + t21916, + t21901, + t22598, + t22826, + t21236, + t21650, + t22825, + t21884, + t22090, + t22824, + t22404, + t22823, + t21580, + t22508, + t22822, + t22821, + t21260, + t22820, + t22819, + t21563, + t22594, + t22093, + t22434, + t22818, + t22639, + t22729, + t22817, + t22000, + t22816, + t21798, + t22815, + t22066, + t22651, + t21891, + t22727, + t22814, + t21752, + t21936, + t22813, + t21500, + t22676, + t22047, + t22812, + t20733, + t22811, + t22810, + t21925, + t22708, + t22809, + t22808, + t22807, + t22548, + t21976, + t21505, + t21853, + t22806, + t22718, + t21519, + t21964, + t21955, + t22805, + t22707, + t22804, + t22721, + t21548, + t22608, + t21872, + t22803, + t22484, + t21453, + t22711, + t22802, + t22758, + t21527, + t22078, + t22538, + t22801, + t22800, + t21956, + t22799, + t21617, + t22798, + t22121, + t22469, + t21582, + t22797, + t22796, + t22053, + t22528, + t21556, + t22795, + t21488, + t22279, + t22794, + t22648, + t22753, + t22793, + t22792, + t22699, + t22791, + t20869, + t21958, + t22391, + t22685, + t22790, + t21470, + t22789, + t22788, + t22744, + t21732, + t21504, + t21855, + t22681, + t22787, + t20997, + t22786, + t21107, + t22785, + t21004, + t22784, + t21693, + t22783, + t22632, + t22537, + t21614, + t22127, + t22750, + t21945, + t22782, + t21811, + t22781, + t22112, + t22780, + t21142, + t22583, + t22779, + t22420, + t22778, + t21546, + t22777, + t22562, + t21481, + t22776, + t22775, + t22011, + t22774, + t21581, + t22637, + t22773, + t22772, + t22771, + t22446, + t22770, + t22763, + t22761, + t22759, + t22751, + t21924, + t22748, + t22109, + t22745, + t22740, + t22739, + t21912, + t22736, + t22722, + t22719, + t21708, + t21917, + t22704, + t21233, + t21892, + t22696, + t22695, + t21992, + t22448, + t20994, + t22693, + t21908, + t22636, + t22691, + t22690, + t21807, + t22686, + t22148, + t22684, + t22683, + t22682, + t22680, + t20700, + t22674, + t22673, + t21267, + t22672, + t21212, + t22668, + t22665, + t22663, + t22662, + t22661, + t22658, + t22656, + t22655, + t22654, + t21792, + t22521, + t22650, + t21804, + t22649, + t21767, + t22646, + t22644, + t22643, + t22642, + t21837, + t21569, + t21432, + t21009, + t22633, + t22130, + t21828, + t20539, + t22631, + t21821, + t22630, + t21820, + t22628, + t22625, + t22624, + t22622, + t22621, + t21674, + t22619, + t21321, + t22499, + t22618, + t22616, + t22615, + t22613, + t22606, + t22454, + t22604, + t20878, + t22603, + t21673, + t22602, + t20734, + t22601, + t22600, + t22599, + t22596, + t22595, + t21365, + t22501, + t22591, + t22590, + t20575, + t22589, + t22588, + t21571, + t21367, + t22587, + t22585, + t22584, + t21827, + t21826, + t21825, + t22015, + t22582, + t22581, + t22580, + t20850, + t22578, + t21831, + t20940, + t22572, + t21833, + t21661, + t22571, + t22570, + t21589, + t22569, + t22567, + t22563, + t22560, + t21494, + t22559, + t22557, + t22553, + t22549, + t21897, + t22546, + t22543, + t22542, + t22530, + t22526, + t21934, + t22285, + t20581, + t22517, + t22522, + t20565, + t22520, + t22515, + t22514, + t22512, + t22482, + t21217, + t22511, + t22510, + t22507, + t22505, + t21900, + t22500, + t22498, + t22495, + t22494, + t22493, + t22489, + t22479, + t22476, + t22471, + t22470, + t22466, + t22464, + t22463, + t21269, + t22462, + t22461, + t22457, + t20951, + t22456, + t22453, + t21591, + t21466, + t21263, + t22451, + t22447, + t21920, + t22437, + t22432, + t22150, + t22430, + t22425, + t21604, + t21607, + t21402, + t21240, + t21293, + t21306, + t21322, + t21333, + t21446, + t21518, + t22419, + t22124, + t22413, + t22408, + t22399, + t22398, + t22392, + t22390, + t22387, + t22384, + t22383, + t21492, + t22382, + t21712, + t21753, + t21243, + t22381, + t22380, + t22379, + t22378, + t22377, + t22126, + t22376, + t21701, + t22374, + t21621, + t22373, + t22372, + t21871, + t20461, + t22371, + t20748, + t22370, + t20692, + t22369, + t22034, + t21635, + t22368, + t22367, + t21579, + t21462, + t22366, + t21449, + t21493, + t22365, + t21489, + t21512, + t22364, + t22363, + t21447, + t22361, + t22360, + t21357, + t21275, + t20588, + t22358, + t22357, + t22356, + t21272, + t22355, + t22292, + t20462, + t22354, + t22353, + t21266, + t22155, + t22352, + t21777, + t21814, + t22351, + t22350, + t20750, + t22349, + t21106, + t22348, + t22347, + t22346, + t21722, + t22344, + t22342, + t20843, + t22341, + t22340, + t21381, + t22339, + t22338, + t22337, + t22335, + t22334, + t22333, + t22332, + t22331, + t22330, + t22329, + t22327, + t22326, + t22325, + t22324, + t22323, + t22322, + t20686, + t22320, + t20398, + t22319, + t22318, + t22317, + t21050, + t22316, + t22315, + t22314, + t22312, + t22311, + t20841, + t22310, + t22309, + t21727, + t22308, + t21069, + t22307, + t22306, + t22305, + t22304, + t22303, + t22302, + t21782, + t22301, + t22300, + t22299, + t22298, + t22296, + t22295, + t20915, + t22294, + t22291, + t22290, + t22288, + t22287, + t22036, + t22286, + t22284, + t22282, + t22274, + t22273, + t22272, + t22271, + t20525, + t22270, + t20586, + t22269, + t20881, + t22268, + t20764, + t22267, + t20906, + t20780, + t20625, + t22266, + t21000, + t22265, + t22264, + t20759, + t22263, + t22262, + t20402, + t22261, + t22081, + t22260, + t22259, + t20677, + t22258, + t20477, + t22257, + t20480, + t22256, + t20782, + t22255, + t22254, + t22253, + t22252, + t20830, + t22251, + t22250, + t22249, + t22248, + t22247, + t20489, + t22246, + t22245, + t20849, + t22244, + t22243, + t22242, + t20656, + t22241, + t22240, + t22239, + t22238, + t22237, + t22236, + t22235, + t22234, + t22233, + t22232, + t20410, + t22231, + t20745, + t22230, + t22229, + t22228, + t22227, + t22226, + t22225, + t22224, + t22223, + t20543, + t22222, + t21957, + t22221, + t20652, + t22220, + t21907, + t20510, + t22219, + t22218, + t22217, + t22216, + t21882, + t21980, + t20545, + t22215, + t22214, + t22213, + t22007, + t22115, + t22212, + t22211, + t21856, + t22141, + t22210, + t22209, + t22208, + t22207, + t22206, + t22205, + t22204, + t21127, + t22203, + t22202, + t22201, + t22200, + t22199, + t22080, + t22198, + t22197, + t22196, + t22195, + t22194, + t22193, + t21146, + t22192, + t22191, + t20646, + t22190, + t22189, + t21012, + t22188, + t22187, + t22186, + t22185, + t20526, + t22184, + t20430, + t22183, + t22176, + t22174, + t22169, + t22166, + t22165, + t22159, + t22157, + t22152, + t22147, + t22146, + t22145, + t22144, + t22143, + t22129, + t22122, + t22114, + t22101, + t22091, + t22084, + t22082, + t22073, + t22068, + t22064, + t22056, + t22021, + t22019, + t22018, + t22013, + t22006, + t22002, + t21993, + t21989, + t21984, + t21979, + t21969, + t21965, + t21959, + t21949, + t21942, + t21941, + t21939, + t21930, + t21927, + t21926, + t21904, + t21896, + t21885, + t21883, + t21881, + t21879, + t21874, + t21873, + t21860, + t21859, + t21857, + t21852, + t21850, + t21844, + t21840, + t21813, + t21806, + t21778, + t21764, + t21745, + t21741, + t21740, + t21737, + t21734, + t21728, + t21718, + t21714, + t21707, + t21704, + t21700, + t21694, + t21692, + t21691, + t21687, + t21685, + t21684, + t21681, + t21680, + t21679, + t21670, + t21667, + t21666, + t21663, + t21659, + t21654, + t21647, + t21645, + t21644, + t21639, + t21633, + t21628, + t21623, + t21622, + t21615, + t21606, + t21605, + t21602, + t21599, + t21595, + t21593, + t21592, + t21587, + t21586, + t21585, + t21577, + t21575, + t21570, + t21567, + t21561, + t21557, + t21553, + t21545, + t21539, + t21537, + t21535, + t21534, + t21532, + t21531, + t21526, + t21523, + t21513, + t21510, + t21509, + t21508, + t21497, + t21496, + t21495, + t21486, + t21484, + t21483, + t21478, + t21475, + t21465, + t21460, + t21448, + t21442, + t21437, + t21433, + t21428, + t21427, + t21424, + t21423, + t21418, + t21417, + t21414, + t21411, + t21406, + t21403, + t21398, + t21395, + t21389, + t21387, + t21385, + t21380, + t21373, + t21370, + t21369, + t21368, + t21360, + t21352, + t21351, + t21347, + t21340, + t21336, + t21334, + t21329, + t21324, + t21323, + t21320, + t21319, + t21318, + t21315, + t21314, + t21313, + t21311, + t21308, + t21305, + t21302, + t21297, + t21295, + t21291, + t21288, + t21274, + t21270, + t21265, + t21264, + t21255, + t21250, + t21248, + t21242, + t21235, + t21225, + t21224, + t21222, + t21221, + t21219, + t21218, + t21216, + t21210, + t21208, + t21207, + t21205, + t21203, + t21200, + t21198, + t21195, + t21193, + t21190, + t21188, + t21187, + t21182, + t21181, + t21180, + t21179, + t21175, + t21171, + t21167, + t21160, + t21157, + t21152, + t21145, + t21141, + t21133, + t21132, + t21111, + t21110, + t21108, + t21104, + t21100, + t21099, + t21098, + t21096, + t21095, + t21093, + t21091, + t21086, + t21078, + t21075, + t21073, + t21070, + t21068, + t21063, + t21061, + t21059, + t21057, + t21053, + t21049, + t21045, + t21036, + t21034, + t21032, + t21028, + t21022, + t21020, + t21019, + t21014, + t21013, + t20991, + t20988, + t20987, + t20984, + t20966, + t20963, + t20962, + t20961, + t20954, + t20953, + t20950, + t20948, + t20936, + t20935, + t20931, + t20929, + t20926, + t20921, + t20917, + t20916, + t20913, + t20897, + t20885, + t20883, + t20879, + t20875, + t20868, + t20865, + t20858, + t20848, + t20847, + t20838, + t20832, + t20823, + t20822, + t20820, + t20819, + t20818, + t20816, + t20811, + t20808, + t20806, + t20804, + t20802, + t20798, + t20797, + t20793, + t20791, + t20785, + t20781, + t20777, + t20776, + t20774, + t20771, + t20769, + t20767, + t20760, + t20746, + t20740, + t20723, + t20705, + t20695, + t20694, + t20691, + t20689, + t20678, + t20673, + t20670, + t20667, + t20664, + t20651, + t20643, + t20640, + t20638, + t20633, + t20632, + t20626, + t20622, + t20617, + t20611, + t20604, + t20600, + t20590, + t20582, + t20576, + t20548, + t20547, + t20544, + t20542, + t20532, + t20529, + t20494, + t20493, + t20491, + t20487, + t20469, + t20452, + t20447, + t20440, + t20437, + t20428, + t20418, + t20408; + t22181 = z*z; + t22180 = t22181*z; + t22725 = z+t22180; + t22767 = x*y; + t23068 = t22725*t22767; + t22766 = z*t22767; + t22737 = y*t22180; + t22710 = x*t22737; + t23067 = t22766+t22710; + t22142 = RATIONAL(-5.0,9.0); + t22178 = y*y; + t22556 = t22142*t22178; + t22575 = t22180*t22178; + t22133 = RATIONAL(4.0,9.0); + t21715 = t22133*t22575; + t23065 = t22181*t22556+t21715; + t22134 = RATIONAL(5.0,9.0); + t22486 = t22134*t22178; + t22769 = x*z; + t22170 = RATIONAL(1.0,9.0); + t22756 = z*t22170; + t21723 = t22178*t22756; + t23064 = t22486*t22769+t21723; + t22179 = x*x; + t22097 = RATIONAL(-7.0,36.0); + t22483 = t22179*t22097; + t21544 = t22181*t22483; + t22026 = RATIONAL(1.0,18.0); + t22541 = t22026*t22180; + t21653 = x*t22541; + t20976 = t22178*t21653; + t23063 = y*t21544+t20976; + t22140 = RATIONAL(-2.0,9.0); + t22525 = t22140*t22180; + t21706 = t22178*t22525; + t22171 = RATIONAL(5.0,6.0); + t22688 = t22171*t22178; + t22389 = x*t22688; + t23062 = t22180*t22389+t21706; + t22161 = RATIONAL(4.0,3.0); + t22576 = t22161*t22178; + t22362 = t22179*t22576; + t21156 = z*t22362; + t22527 = t22181*t22179; + t22375 = t22178*t22527; + t22131 = RATIONAL(-8.0,3.0); + t23061 = t22131*t22375+t21156; + t22107 = RATIONAL(-1.0,72.0); + t22555 = t22178*t22107; + t21498 = z*t22555; + t22074 = RATIONAL(1.0,54.0); + t22754 = t22074*z; + t23060 = t21498+y*t22754; + t22724 = x*t22178; + t22713 = z*t22724; + t22177 = t22179*t22178; + t22401 = z*t22177; + t20549 = RATIONAL(49.0,24.0)*t22401; + t22001 = RATIONAL(-35.0,12.0); + t23059 = t22001*t22713+t20549; + t22110 = RATIONAL(7.0,72.0); + t22502 = t22110*t22179; + t21441 = t22181*t22502; + t20927 = y*t21441; + t22014 = RATIONAL(-1.0,18.0); + t22609 = t22014*t22180; + t21627 = x*t22609; + t20952 = t22178*t21627; + t23058 = t20927+t20952; + t21968 = RATIONAL(-1.0,108.0); + t21963 = RATIONAL(1.0,216.0); + t21779 = t21963*t22180; + t23057 = t21968*t22181+t21779; + t22160 = RATIONAL(-7.0,3.0); + t22445 = x*t22575; + t22473 = t22180*t22097; + t21463 = t22178*t22473; + t23056 = t22160*t22445+t21463; + t22162 = RATIONAL(-1.0,6.0); + t21818 = t22162*t22178; + t22033 = RATIONAL(7.0,24.0); + t20866 = t22033*t22401; + t23055 = t21818*t22769+t20866; + t21928 = RATIONAL(7.0,576.0); + t22529 = t21928*t22178; + t21415 = t22180*t22529; + t21899 = RATIONAL(-5.0,288.0); + t22535 = t22180*t21899; + t23054 = y*t22535+t21415; + t22149 = RATIONAL(-4.0,3.0); + t22547 = t22179*t22149; + t22283 = t22178*t22547; + t21159 = z*t22283; + t23053 = RATIONAL(-8.0,1.0)*t22375+t21159; + t22452 = y*t22527; + t22017 = RATIONAL(5.0,48.0); + t22004 = RATIONAL(-7.0,288.0); + t22460 = t22004*t22178; + t22436 = x*t22460; + t20661 = t22180*t22436; + t23052 = t22017*t22452+t20661; + t21880 = RATIONAL(-49.0,576.0); + t21185 = t21880*t22575; + t21994 = RATIONAL(7.0,144.0); + t22626 = t22180*t21994; + t23051 = t21185+y*t22626; + t22105 = RATIONAL(-7.0,24.0); + t20937 = t22105*t22401; + t23050 = t20937+RATIONAL(35.0,64.0)*t22375; + t22092 = RATIONAL(-7.0,18.0); + t22465 = t22092*t22181; + t22154 = RATIONAL(1.0,6.0); + t21836 = t22154*t22179; + t23049 = t21836+t22179*t22465; + t22077 = RATIONAL(1.0,36.0); + t22504 = t22180*t22077; + t21671 = t22179*t22504; + t22158 = RATIONAL(1.0,3.0); + t22669 = t22179*t22180; + t22395 = y*t22669; + t23048 = t21671+t22158*t22395; + t23047 = RATIONAL(-343.0,48.0)*t22375+RATIONAL(49.0,16.0)*t22177; + t22175 = RATIONAL(7.0,9.0); + t23046 = t21463+t22175*t22445; + t22132 = RATIONAL(-1.0,9.0); + t22677 = t22179*t22132; + t21696 = z*t22677; + t22116 = RATIONAL(5.0,12.0); + t22715 = z*t22179; + t22712 = y*t22715; + t23045 = t22116*t22712+t21696; + t22280 = t22179*t22575; + t21923 = RATIONAL(49.0,12.0); + t20563 = t21923*t22280; + t22738 = y*t22181; + t22700 = x*t22738; + t23044 = t22160*t22700+t20563; + t21948 = RATIONAL(-1.0,576.0); + t21350 = t21948*t22715; + t22487 = RATIONAL(-1.0,96.0)*t22181; + t23043 = t21350+t22179*t22487; + t22070 = RATIONAL(5.0,36.0); + t23042 = t20952+t22070*t22452; + t22024 = RATIONAL(7.0,27.0); + t21816 = t22024*t22180; + t23041 = t22140*t22181+t21816; + t22652 = t22181*t22070; + t21672 = y*t22652; + t21974 = RATIONAL(-1.0,216.0); + t21786 = t21974*z; + t23040 = t21786+x*t21672; + t21986 = RATIONAL(49.0,72.0); + t21299 = t21986*t22575; + t21869 = RATIONAL(245.0,72.0); + t23039 = t21299+t21869*t22445; + t22043 = RATIONAL(-1.0,12.0); + t22577 = t22043*t22178; + t22345 = t22179*t22577; + t20731 = t22181*t22345; + t21978 = RATIONAL(7.0,108.0); + t22657 = t21978*t22180; + t21229 = y*t22657; + t20467 = x*t21229; + t23038 = t20731+t20467; + t22173 = RATIONAL(2.0,9.0); + t22552 = t22178*t22173; + t21739 = z*t22552; + t22128 = RATIONAL(-5.0,27.0); + t22726 = z*t22128; + t23037 = y*t22726+t21739; + t22564 = t22181*t22178; + t22163 = RATIONAL(-5.0,3.0); + t22321 = t22163*t22564; + t22139 = RATIONAL(-2.0,3.0); + t21114 = t22139*t22401; + t23036 = t21114+t22179*t22321; + t21887 = RATIONAL(35.0,18.0); + t21257 = t21887*t22527; + t21703 = t22175*t22715; + t23035 = t21257+t21703; + t22046 = RATIONAL(7.0,18.0); + t21822 = t22162*t22179; + t23034 = t21822+t22046*t22527; + t21909 = RATIONAL(35.0,27.0); + t22490 = t22180*t21909; + t21325 = x*t22490; + t23033 = t22181*t22283+y*t21325; + t21999 = RATIONAL(-280.0,9.0); + t21889 = RATIONAL(224.0,9.0); + t22443 = x*t22564; + t23032 = t21889*t22395+t21999*t22443; + t22041 = RATIONAL(14.0,9.0); + t22545 = t22178*t22041; + t21665 = t22180*t22545; + t23031 = t21665+t22149*t22564; + t22550 = t22181*t22017; + t22277 = t22178*t22550; + t20490 = t22004*t22395; + t23030 = x*t22277+t20490; + t23029 = t21889*t22445+t21999*t22452; + t22102 = RATIONAL(1.0,27.0); + t21812 = t22102*z; + t21915 = RATIONAL(-25.0,24.0); + t22394 = t21915*t22738; + t23028 = t21812+x*t22394; + t21725 = t22179*t22525; + t23027 = t21725+t22171*t22395; + t21902 = RATIONAL(1.0,108.0); + t21768 = t21902*t22180; + t22076 = RATIONAL(-1.0,27.0); + t21802 = t22076*t22180; + t23026 = t21768+x*t21802; + t22023 = RATIONAL(-1.0,36.0); + t22735 = z*t22023; + t21594 = t22178*t22735; + t21913 = RATIONAL(5.0,216.0); + t22742 = z*t21913; + t23025 = y*t22742+t21594; + t22120 = RATIONAL(98.0,9.0); + t20835 = t22120*t22445; + t22111 = RATIONAL(-20.0,3.0); + t23024 = t22111*t22452+t20835; + t22095 = RATIONAL(5.0,27.0); + t22664 = t22180*t22095; + t21810 = t22102*t22180; + t23023 = x*t22664+t21810; + t21278 = t21986*t22669; + t20663 = y*t21278; + t22153 = RATIONAL(-1.0,3.0); + t21823 = t22153*t22178; + t22427 = x*t21823; + t23022 = t20663+t22181*t22427; + t23021 = t20563+RATIONAL(-175.0,12.0)*t22700; + t22010 = RATIONAL(-70.0,3.0); + t23020 = t22010*t22452+t20835; + t22118 = RATIONAL(32.0,9.0); + t21613 = t22118*t22669; + t22065 = RATIONAL(-40.0,9.0); + t23019 = t22065*t22527+t21613; + t21914 = RATIONAL(-49.0,18.0); + t22138 = RATIONAL(7.0,6.0); + t21834 = t22138*t22179; + t23018 = t21914*t22527+t21834; + t22536 = t21948*t22180; + t21237 = t22178*t22536; + t22028 = RATIONAL(-1.0,48.0); + t21808 = t22028*t22178; + t22400 = x*t21808; + t23017 = t22180*t22400+t21237; + t21946 = RATIONAL(-1.0,432.0); + t22762 = t21946*z; + t22764 = z*t22178; + t21967 = RATIONAL(1.0,576.0); + t21282 = t21967*t22764; + t23016 = y*t22762+t21282; + t21239 = t21887*t22564; + t22137 = RATIONAL(-8.0,9.0); + t23015 = x*t21239+t22137*t22395; + t20608 = RATIONAL(-49.0,24.0)*t22401; + t23014 = t20608+RATIONAL(245.0,64.0)*t22375; + t22749 = z*t22077; + t21630 = t22178*t22749; + t22743 = z*t22132; + t21698 = t22178*t22743; + t23013 = t21630+x*t21698; + t21515 = t22118*t22575; + t23012 = t21515+t22065*t22564; + t22025 = RATIONAL(7.0,48.0); + t21794 = t22025*t22178; + t22415 = x*t21794; + t21847 = RATIONAL(-49.0,192.0); + t22336 = t21847*t22177; + t20458 = z*t22336; + t23011 = z*t22415+t20458; + t21770 = t21968*t22180; + t23010 = RATIONAL(5.0,432.0)*t22181+t21770; + t22060 = RATIONAL(-16.0,9.0); + t21637 = t22060*t22764; + t21922 = RATIONAL(40.0,27.0); + t22720 = z*t21922; + t23009 = t21637+y*t22720; + t22038 = RATIONAL(-7.0,12.0); + t22513 = t22038*t22181; + t21474 = t22178*t22513; + t20908 = t22046*t22395; + t23008 = x*t21474+t20908; + t22058 = RATIONAL(-14.0,9.0); + t22607 = t22058*t22179; + t21542 = t22180*t22607; + t20978 = y*t21542; + t22059 = RATIONAL(28.0,9.0); + t23007 = t20978+t22059*t22443; + t21209 = t21880*t22669; + t23006 = t21209+x*t22626; + t22022 = RATIONAL(-10.0,9.0); + t22752 = x*t22022; + t22416 = t22180*t22752; + t23005 = t21706+t22178*t22416; + t21499 = t22179*t22513; + t23004 = t21278+t21499; + t22104 = RATIONAL(1.0,48.0); + t21803 = t22104*t22178; + t22423 = x*t21803; + t23003 = t22181*t22423+t20490; + t21876 = RATIONAL(-49.0,288.0); + t22032 = RATIONAL(5.0,16.0); + t23002 = t22032*t22452+t21876*t22445; + t21785 = t21963*z; + t22760 = x*t22181; + t22167 = RATIONAL(5.0,3.0); + t22418 = t22167*t22760; + t23001 = t21785+y*t22418; + t21530 = t22060*t22715; + t23000 = t21530+x*t22720; + t22083 = RATIONAL(1.0,12.0); + t22455 = t22181*t22083; + t20457 = t21847*t22280; + t22999 = t22455*t22767+t20457; + t22566 = t22179*t22083; + t22313 = t22178*t22566; + t21037 = z*t22313; + t22998 = t22162*t22375+t21037; + t21944 = RATIONAL(-1.0,288.0); + t22731 = y*t22179; + t21991 = RATIONAL(1.0,144.0); + t22450 = t21991*t22731; + t22997 = t22181*t22450+t21944*t22445; + t22136 = RATIONAL(-7.0,9.0); + t22597 = t22136*t22178; + t21738 = z*t22597; + t21950 = RATIONAL(35.0,24.0); + t21331 = t21950*t22564; + t22996 = t21738+t21331; + t22995 = t22046*t22564+t21818; + t22071 = RATIONAL(-5.0,96.0); + t22428 = t22071*t22724; + t21954 = RATIONAL(7.0,288.0); + t20601 = t21954*t22395; + t22994 = t22181*t22428+t20601; + t22459 = t22110*t22178; + t21541 = t22180*t22459; + t22439 = y*t22677; + t22993 = x*t21541+t22181*t22439; + t22278 = RATIONAL(7.0,192.0)*t22177; + t20706 = z*t22278; + t22992 = RATIONAL(7.0,32.0)*t22375+t20706; + t22106 = RATIONAL(-5.0,36.0); + t22627 = t22181*t22106; + t21485 = x*t22627; + t21921 = RATIONAL(-35.0,96.0); + t22403 = t21921*t22724; + t22991 = t21485+t22181*t22403; + t22054 = RATIONAL(14.0,3.0); + t20884 = t22054*t22401; + t22990 = RATIONAL(-35.0,4.0)*t22375+t20884; + t21895 = RATIONAL(5.0,144.0); + t22474 = t22181*t21895; + t21353 = x*t22474; + t21935 = RATIONAL(-7.0,192.0); + t20594 = t21935*t22280; + t22989 = t20594+y*t21353; + t20730 = z*t22345; + t22988 = t22154*t22375+t20730; + t22079 = RATIONAL(16.0,9.0); + t21612 = t22079*t22715; + t22087 = RATIONAL(-10.0,3.0); + t22987 = t22087*t22527+t21612; + t22592 = t22180*RATIONAL(-35.0,288.0); + t22477 = RATIONAL(49.0,576.0)*t22180; + t21192 = t22179*t22477; + t22986 = x*t22592+t21192; + t21971 = RATIONAL(-49.0,12.0); + t20657 = t21971*t22280; + t22985 = t20657+RATIONAL(245.0,48.0)*t22375; + t21549 = t22180*t22502; + t22984 = t22132*t22443+y*t21549; + t21624 = t22023*t22715; + t22983 = x*t22742+t21624; + t21932 = RATIONAL(-7.0,576.0); + t22551 = t21932*t22180; + t21261 = t22179*t22551; + t22027 = RATIONAL(-7.0,48.0); + t22982 = t22027*t22395+t21261; + t22049 = RATIONAL(-2.0,27.0); + t21789 = t22049*t22180; + t22108 = RATIONAL(5.0,54.0); + t22981 = t21789+t22108*t22181; + t22481 = t22181*RATIONAL(-7.0,96.0); + t21458 = t22178*t22481; + t22980 = t22179*t21458+t20706; + t21016 = x*t21665; + t22979 = t22058*t22452+t21016; + t20672 = t22181*t22278; + t21990 = RATIONAL(-5.0,144.0); + t22978 = t20672+t21990*t22710; + t22085 = RATIONAL(-7.0,72.0); + t21662 = t22085*t22715; + t22728 = z*t22026; + t22977 = x*t22728+t21662; + t22610 = t21928*t22179; + t21372 = z*t22610; + t21996 = RATIONAL(-1.0,144.0); + t22734 = z*t21996; + t22976 = x*t22734+t21372; + t22975 = t22177+t22160*t22375; + t22293 = t21935*t22177; + t20562 = z*t22293; + t22974 = t21994*t22712+t20562; + t21981 = RATIONAL(-49.0,48.0); + t22973 = RATIONAL(7.0,16.0)*t22177+t21981*t22375; + t22088 = RATIONAL(1.0,72.0); + t21619 = t22088*t22575; + t21608 = t22023*t22564; + t22972 = t21619+t21608; + t21851 = RATIONAL(1.0,1728.0); + t21754 = t21851*t22180; + t22534 = t22180*t21991; + t22971 = y*t22534+t21754; + t22540 = t22179*t22173; + t21709 = t22180*t22540; + t22057 = RATIONAL(10.0,9.0); + t22970 = t22057*t22395+t21709; + t21805 = t22104*t22179; + t22442 = y*t21805; + t22969 = t22181*t22442+t20661; + t22968 = t21785+t22116*t22700; + t22016 = RATIONAL(-5.0,54.0); + t21797 = t22016*t22181; + t22099 = RATIONAL(2.0,27.0); + t21815 = t22099*t22180; + t22967 = t21797+t21815; + t21547 = z*t22502; + t22755 = z*t22106; + t22966 = t21547+x*t22755; + t20859 = RATIONAL(-14.0,3.0)*t22401; + t22012 = RATIONAL(-35.0,3.0); + t22965 = t22012*t22375+t20859; + t22412 = t22046*t22724; + t20874 = t22180*t22412; + t22964 = y*t21499+t20874; + t22094 = RATIONAL(1.0,24.0); + t20919 = t22094*t22401; + t22963 = t22179*t22277+t20919; + t20985 = t22181*t22313; + t21961 = RATIONAL(-5.0,108.0); + t22962 = t20985+t21961*t22710; + t22568 = t22171*t22179; + t22429 = y*t22568; + t21919 = RATIONAL(-49.0,72.0); + t22544 = t22178*t21919; + t21341 = t22180*t22544; + t20620 = x*t21341; + t22961 = t22181*t22429+t20620; + t22565 = t22058*t22178; + t21618 = t22180*t22565; + t20981 = x*t21618; + t22960 = t20981+t22059*t22452; + t21683 = t22136*t22715; + t21346 = t21950*t22527; + t22959 = t21683+t21346; + t21191 = t22178*t22477; + t21842 = RATIONAL(-49.0,144.0); + t22958 = t21191+t21842*t22445; + t21755 = t21851*z; + t22957 = x*t22762+t21755; + t22407 = t22057*t22724; + t22956 = t20978+t22181*t22407; + t21756 = RATIONAL(7.0,1728.0)*t22180; + t22955 = t21944*t22181+t21756; + t22125 = RATIONAL(-5.0,18.0); + t22458 = t22181*t22125; + t21735 = t22180*t22552; + t22954 = t22178*t22458+t21735; + t21271 = t21967*t22715; + t22953 = t21271+z*t22442; + t22440 = t21991*t22724; + t21886 = RATIONAL(-1.0,192.0); + t22328 = t21886*t22177; + t20697 = z*t22328; + t22952 = z*t22440+t20697; + t22156 = RATIONAL(-4.0,9.0); + t21688 = t22156*t22575; + t22951 = t21688+t22181*t22486; + t22040 = RATIONAL(7.0,12.0); + t22276 = t22040*t22177; + t20888 = z*t22276; + t22164 = RATIONAL(-7.0,6.0); + t22950 = t22164*t22375+t20888; + t22052 = RATIONAL(-25.0,6.0); + t22949 = t22052*t22700+t20563; + t21796 = t22027*t22178; + t21862 = RATIONAL(49.0,144.0); + t22948 = t21796+t21862*t22564; + t22533 = t22179*t21919; + t21356 = t22180*t22533; + t20650 = y*t21356; + t22947 = t22181*t22389+t20650; + t22297 = t22027*t22564; + t22946 = RATIONAL(1.0,16.0)*t22177+t22179*t22297; + t21154 = t22161*t22280; + t22945 = RATIONAL(-98.0,27.0)*t22700+t21154; + t22135 = RATIONAL(-5.0,6.0); + t22944 = t22135*t22395+t21709; + t21005 = t22038*t22280; + t21819 = t22134*t22181; + t21151 = t21819*t22767; + t22943 = t21005+t21151; + t21757 = RATIONAL(-7.0,1728.0)*t22180; + t21940 = RATIONAL(7.0,432.0); + t22660 = t21940*t22180; + t22942 = t21757+x*t22660; + t21888 = RATIONAL(-7.0,144.0); + t21364 = t21888*t22527; + t22941 = t21805+t21364; + t22746 = z*t22070; + t22940 = t21662+x*t22746; + t21960 = RATIONAL(-5.0,216.0); + t22488 = t21960*t22180; + t21783 = t21974*t22180; + t22939 = y*t22488+t21783; + t22659 = t22181*t22095; + t21574 = y*t22659; + t22938 = x*t21574+t21785; + t21970 = RATIONAL(-35.0,48.0); + t22289 = t21970*t22564; + t22937 = t22179*t22289+t20937; + t22063 = RATIONAL(-8.0,27.0); + t21793 = t22063*z; + t22936 = t21793+t21819; + t21051 = t22170*t22395; + t21977 = RATIONAL(-7.0,216.0); + t22492 = t22181*t21977; + t22935 = x*t22492+t21051; + t22151 = RATIONAL(-1.0,2.0); + t22934 = t22151*t22375+t20730; + t22061 = RATIONAL(-5.0,72.0); + t21809 = t22061*t22181; + t21983 = RATIONAL(7.0,216.0); + t21771 = t21983*t22180; + t22933 = t21809+t21771; + t21953 = RATIONAL(-35.0,24.0); + t21287 = t21953*t22564; + t22503 = t22178*t22175; + t21726 = z*t22503; + t22932 = t21287+t21726; + t20763 = t22092*t22395; + t22931 = t20763+x*t21331; + t21875 = RATIONAL(245.0,96.0); + t22930 = t21356+t21875*t22395; + t22409 = t22057*t22731; + t22929 = t20981+t22181*t22409; + t22519 = t22179*t22107; + t21578 = t22180*t22519; + t22048 = RATIONAL(5.0,96.0); + t22928 = t22048*t22395+t21578; + t22496 = t22170*t22179; + t21711 = z*t22496; + t22757 = y*t22134; + t22709 = z*t22757; + t22927 = t22179*t22709+t21711; + t20837 = t22120*t22395; + t22926 = t20837+t22010*t22443; + t22388 = t22092*t22724; + t20825 = t22180*t22388; + t22925 = t20825+y*t21346; + t21788 = t22027*t22179; + t22924 = t21862*t22527+t21788; + t21830 = t22154*t22178; + t22923 = t22178*t22465+t21830; + t22075 = RATIONAL(-98.0,9.0); + t20783 = t22075*t22395; + t22096 = RATIONAL(28.0,3.0); + t22922 = t20783+t22096*t22443; + t22359 = t22038*t22177; + t20891 = t22181*t22359; + t21905 = RATIONAL(35.0,36.0); + t22617 = t22180*t21905; + t21359 = y*t22617; + t22921 = t20891+x*t21359; + t21540 = t22097*t22564; + t20757 = t22026*t22395; + t22920 = x*t21540+t20757; + t20813 = t22075*t22445; + t22919 = t20813+t22096*t22452; + t22918 = t21779*t22767+t22181*t22328; + t21558 = z*t22459; + t22485 = RATIONAL(-35.0,192.0)*t22181; + t22917 = t21558+t22178*t22485; + t22123 = RATIONAL(-7.0,27.0); + t21790 = t22123*t22180; + t22916 = x*t22617+t21790; + t22411 = x*t22565; + t22532 = t22179*t22041; + t21565 = t22180*t22532; + t20967 = y*t21565; + t22915 = t22181*t22411+t20967; + t21906 = RATIONAL(-7.0,432.0); + t22914 = t21906*t22181+t21991; + t22029 = RATIONAL(-20.0,9.0); + t22913 = t22029*t22452+t21016; + t20680 = x*t21299; + t21829 = t22153*t22179; + t22444 = y*t21829; + t22912 = t22181*t22444+t20680; + t22653 = t22180*t22137; + t21748 = x*t22653; + t22911 = t22178*t21748+y*t21257; + t21642 = t22077*t22715; + t22910 = z*t22439+t21642; + t22909 = t22023*t22181+t21771; + t21918 = RATIONAL(-20.0,27.0); + t22697 = t21918*t22767; + t22003 = RATIONAL(10.0,27.0); + t22908 = t22003*t22766+t22180*t22697; + t21973 = RATIONAL(5.0,288.0); + t22717 = z*t21973; + t21412 = t21932*t22715; + t22907 = t21412+x*t22717; + t22906 = y*t22490+t21618; + t22414 = y*t21809; + t22905 = t20976+t22179*t22414; + t22005 = RATIONAL(35.0,72.0); + t22406 = t22005*t22731; + t21148 = t22180*t22427; + t22647 = t21960*t22181; + t22904 = y*t22647+t22181*t22406+t21148; + t22062 = RATIONAL(-40.0,3.0); + t22509 = RATIONAL(140.0,27.0)*t22181; + t21845 = RATIONAL(245.0,18.0); + t22903 = t22062*t22395+x*t22509+t21845*t22443; + t22714 = x*t22005; + t22422 = t22180*t22714; + t20613 = t22178*t22422; + t22723 = y*t22135; + t22426 = t22179*t22723; + t22902 = t22181*t22426+t21672+t20613; + t22641 = t22140*t22178; + t21713 = z*t22641; + t22733 = z*t22024; + t22516 = t21713+y*t22733; + t22441 = t22111*t22724; + t22901 = t20837+t22516+t22181*t22441; + t22042 = RATIONAL(-35.0,6.0); + t20955 = t22042*t22445; + t22051 = RATIONAL(35.0,9.0); + t22558 = t22181*t22051; + t21849 = RATIONAL(245.0,24.0); + t22900 = t21849*t22452+t20955+y*t22558; + t22899 = t20663+x*t22321+t22516; + t22741 = z*t22049; + t21655 = y*t22741; + t22898 = t21655+t21915*t22443+t20908; + t21985 = RATIONAL(-7.0,108.0); + t22629 = t22181*t21985; + t21898 = RATIONAL(49.0,36.0); + t22897 = y*t22629+t21148+t21898*t22452; + t21140 = t22158*t22445; + t22480 = t22181*t21983; + t22435 = y*t22533; + t22896 = t21140+y*t22480+t22181*t22435; + t21113 = t22175*t22395; + t21894 = RATIONAL(-35.0,72.0); + t22611 = t21894*t22181; + t22895 = t21113+(t22611+t21287)*x; + t21300 = x*t22629; + t21138 = t22153*t22395; + t22894 = t21898*t22443+t21300+t21138; + t21554 = y*t22755; + t21903 = RATIONAL(35.0,48.0); + t22100 = RATIONAL(5.0,18.0); + t22687 = t22181*t22100; + t22893 = t21903*t22443+t21554+x*t22687; + t22765 = z*t22123; + t22689 = y*t22765+t21739; + t22892 = t22029*t22443+t20967+t22689; + t22433 = t21894*t22724; + t20684 = t22180*t22433; + t22491 = t22014*t22181; + t22891 = t22158*t22452+t20684+y*t22491; + t22747 = z*t21968; + t21401 = x*t22747; + t22506 = t22088*t22179; + t21649 = z*t22506; + t22620 = t21401+t21649; + t21491 = t22116*t22527; + t22890 = y*t21491+t20825+t22620; + t22889 = y*t22509+t22062*t22445+t21845*t22452; + t21951 = RATIONAL(-35.0,18.0); + t22518 = t22181*t21951; + t21213 = t22179*t22518; + t21910 = RATIONAL(-35.0,54.0); + t22468 = t22181*t21910; + t22888 = t22079*t22445+(t22468+t21213)*y; + t22039 = RATIONAL(7.0,36.0); + t22539 = t22181*t22039; + t21490 = t22040*t22564; + t21105 = t22136*t22395; + t22887 = t21105+(t21490+t22539)*x; + t21868 = RATIONAL(-245.0,18.0); + t22119 = RATIONAL(16.0,3.0); + t21893 = RATIONAL(35.0,54.0); + t22467 = t22181*t21893; + t22886 = y*t22467+t22119*t22445+t21868*t22452; + t22573 = t21954*t22178; + t22397 = x*t22573; + t20607 = t22180*t22397; + t21966 = RATIONAL(-1.0,864.0); + t22732 = z*t21966; + t22113 = RATIONAL(-1.0,24.0); + t22431 = t22113*t22731; + t22885 = t22181*t22431+x*t22732+t20607; + t20397 = RATIONAL(343.0,192.0)*t22280; + t21799 = t22076*z; + t22884 = RATIONAL(-25.0,8.0)*t22700+t20397+t21799; + t20862 = RATIONAL(-7.0,32.0)*t22375; + t21861 = RATIONAL(35.0,144.0); + t22883 = t21861*t22710+t20862+t21990*t22766; + t21760 = t21963*t22181; + t22701 = t22108*t22767; + t22882 = t21760+t20731+t22180*t22701; + t22478 = RATIONAL(-140.0,27.0)*t22181; + t21988 = RATIONAL(280.0,9.0); + t21975 = RATIONAL(-160.0,9.0); + t22881 = x*t22478+t21975*t22395+t21988*t22443; + t21987 = RATIONAL(35.0,96.0); + t20624 = t21987*t22445; + t21459 = y*t22627; + t22421 = t21921*t22731; + t22880 = t20624+t21459+t22181*t22421; + t20922 = t22027*t22445; + t22449 = t21987*t22731; + t22640 = t22181*t21899; + t22879 = t22181*t22449+y*t22640+t20922; + t22168 = RATIONAL(-5.0,1.0); + t21841 = RATIONAL(343.0,72.0); + t22878 = t22168*t22443+t21841*t22395+t22689; + t22020 = RATIONAL(-70.0,9.0); + t20807 = t22020*t22395; + t22035 = RATIONAL(-35.0,9.0); + t22475 = t22181*t22035; + t22067 = RATIONAL(70.0,3.0); + t22877 = t20807+t22067*t22443+x*t22475; + t20775 = t22020*t22445; + t22876 = y*t22475+t22067*t22452+t20775; + t22089 = RATIONAL(5.0,24.0); + t22875 = t21760+t22181*t22336+t22089*t22710; + t20861 = t22181*t22276; + t21795 = t22076*t22181; + t21997 = RATIONAL(-25.0,36.0); + t22874 = t20861+t21997*t22710+t21795; + t22634 = t22181*t21946; + t22417 = t21996*t22724; + t22873 = t21991*t22395+t22181*t22417+x*t22634; + t22593 = t22181*t22107; + t22716 = z*t21991; + t22872 = x*t22593+y*t22716+t22033*t22443; + t22009 = RATIONAL(1.0,96.0); + t22871 = t22009*t22375+(t21786+t21783)*t22767; + t22768 = y*z; + t22698 = t22092*t22768; + t21172 = RATIONAL(-7.0,2.0)*t22375; + t21933 = RATIONAL(49.0,18.0); + t22870 = x*t22698+t21172+t21933*t22710; + t20828 = t22096*t22280; + t22086 = RATIONAL(-50.0,9.0); + t22869 = t20828+t22086*t22700+t21799; + t22050 = RATIONAL(7.0,96.0); + t21480 = t22050*t22527; + t20896 = t22178*t21480; + t22868 = t20896+t22107*t23068; + t21482 = x*t22765; + t21702 = z*t22540; + t22679 = t21482+t21702; + t22867 = t22679+t22168*t22452+t21841*t22445; + t20561 = RATIONAL(-35.0,64.0)*t22375; + t22866 = t20561+t22756*t22767+t22110*t22710; + t22865 = x*t22741+t22179*t22394+t20874; + t21468 = t22040*t22527; + t22405 = x*t22597; + t21088 = t22180*t22405; + t22864 = t21088+(t22539+t21468)*y; + t22030 = RATIONAL(-5.0,48.0); + t22343 = t22030*t22527; + t22863 = t22178*t22343+(t21815+t21799)*t22767; + t22623 = t22181*t21991; + t20932 = t22025*t22395; + t22862 = t20932+(t22623+t22297)*x; + t21657 = t22039*t22527; + t22523 = t21978*t22181; + t22694 = t22132*t22180; + t21697 = x*t22694; + t21082 = t22178*t21697; + t22861 = t21082+(t21657+t22523)*y; + t22635 = t22181*t22041; + t22045 = RATIONAL(70.0,9.0); + t20805 = t22045*t22445; + t22117 = RATIONAL(-28.0,3.0); + t22860 = y*t22635+t20805+t22117*t22452; + t22531 = t22116*t22178; + t21457 = t22181*t22531; + t22675 = t22088*t22178; + t21636 = z*t22675; + t21391 = y*t22747; + t22605 = t21636+t21391; + t22859 = x*t21457+t22605+t20763; + t22666 = t22140*t22179; + t21721 = z*t22666; + t21529 = x*t22733; + t22574 = t21721+t21529; + t22858 = t22574+t22163*t22452+t20680; + t20925 = t22100*t22766; + t22275 = t21903*t22527; + t20470 = t22178*t22275; + t22857 = t22142*t22710+t20925+t20470; + t22393 = t21994*t22724; + t20704 = t22180*t22393; + t22472 = t21996*t22181; + t22856 = y*t22472+t22028*t22452+t20704; + t22855 = t21988*t22452+y*t22478+t21975*t22445; + t22730 = z*t22095; + t21664 = x*t22730; + t21998 = RATIONAL(-10.0,27.0); + t22645 = t22181*t21998; + t22031 = RATIONAL(20.0,9.0); + t22854 = t22031*t22452+y*t22645+t21664; + t22410 = t22048*t22724; + t20707 = t21888*t22395; + t22497 = t22181*t21973; + t22853 = x*t22497+t22181*t22410+t20707; + t21215 = t22178*t22518; + t22852 = t22079*t22395+(t22468+t21215)*x; + t22561 = t21888*t22178; + t22402 = x*t22561; + t20630 = t22180*t22402; + t22438 = t22048*t22731; + t22851 = t20630+y*t22497+t22181*t22438; + t21431 = x*t22491; + t20641 = t21894*t22395; + t22850 = t21431+t22158*t22443+t20641; + t21838 = RATIONAL(-245.0,24.0); + t22172 = RATIONAL(7.0,3.0); + t21072 = t22172*t22445; + t22670 = t22181*t22005; + t22849 = y*t22670+t21072+t21838*t22452; + t21931 = RATIONAL(1.0,432.0); + t22638 = t21931*t22181; + t22848 = t22180*t22423+(t22638+t21364)*y; + t22671 = t22170*t22180; + t21746 = x*t22671; + t21147 = t22178*t21746; + t21658 = t22085*t22527; + t20899 = y*t21658; + t22847 = y*t22492+t21147+t20899; + t22396 = y*t22496; + t22037 = RATIONAL(-1.0,54.0); + t22678 = t22037*t22181; + t22846 = t22181*t22396+y*t22678+t22061*t22445; + t21763 = t21977*t22180; + t21420 = x*t21763; + t22845 = RATIONAL(1.0,32.0)*t22375+t21785*t22767+y*t21420; + t21227 = t21994*t22527; + t22612 = t22074*t22181; + t22844 = t22180*t22428+(t22612+t21227)*y; + t22524 = t22180*t22023; + t21843 = RATIONAL(-1.0,1728.0); + t22843 = t20672+t21843*t22181+t22524*t22767; + t20690 = t22180*t22403; + t22554 = t22026*t22181; + t22281 = t22025*t22527; + t22842 = t20690+(t22554+t22281)*y; + t21071 = t22160*t22395; + t22579 = t22181*t22097; + t22841 = t21071+x*t22579+t21923*t22443; + t22614 = t22181*t22058; + t22069 = RATIONAL(35.0,6.0); + t20821 = t22069*t22445; + t22840 = y*t22614+t21971*t22452+t20821; + t22386 = t22135*t22724; + t21660 = x*t22652; + t20481 = t22005*t22395; + t22839 = t21660+t22181*t22386+t20481; + t22838 = t21868*t22443+x*t22467+t22119*t22395; + t22837 = t22089*t22766+t21953*t22710+RATIONAL(49.0,32.0)*t22375; + t21084 = t22172*t22395; + t22836 = t21838*t22443+x*t22670+t21084; + t20853 = t22069*t22395; + t22835 = t21971*t22443+x*t22614+t20853; + t20986 = t22180*t22407; + t22834 = t22022*t22452+t21574+t20986; + t20799 = t22045*t22395; + t22833 = x*t22635+t21565+t20799+t22117*t22443; + t22424 = t22178*t22714; + t21638 = t22179*t22524; + t22832 = t22181*t22424+t21138+x*t22647+t21638; + t22586 = t22180*t22085; + t22831 = t22586*t22767+t22088*t22766+t22992; + t21576 = y*t22728; + t22830 = t21353+x*t22289+t21576+t20932; + t22705 = t22173*t22767; + t22829 = t22156*t22710+RATIONAL(-5.0,432.0)*t22181+z*t22705+t20470; + t20732 = t22125*t22766; + t22667 = t22180*t22125; + t21450 = x*t22667; + t21169 = t22138*t22375; + t21787 = t21902*t22181; + t22828 = t20732+t21169+t21787+y*t21450; + t22072 = RATIONAL(-28.0,9.0); + t21962 = RATIONAL(14.0,27.0); + t22692 = t22181*t21962; + t22827 = t22072*t22443+x*t22692+t22970; + t21916 = RATIONAL(-49.0,36.0); + t21901 = RATIONAL(-14.0,27.0); + t22598 = t22181*t21901; + t22826 = y*t22598+t21916*t22452+t23062; + t21236 = t21994*t22564; + t21650 = t22180*t22506; + t22825 = t21650+t22071*t22395+(t21236+t22612)*x; + t21884 = RATIONAL(49.0,54.0); + t22090 = RATIONAL(-7.0,54.0); + t22824 = t22090*t22766+t21884*t22710+t22934; + t22404 = x*t22544; + t22823 = x*t22480+t22181*t22404+t23048; + t21580 = x*t22754; + t22508 = t21990*t22181; + t22822 = t21580+t20704+(t22508+t22343)*y; + t22821 = t22045*t22766+RATIONAL(245.0,36.0)*t22710+t22990; + t21260 = t21953*t22527; + t22820 = t23046+(t22611+t21260)*y; + t22819 = t22134*t22710+t22116*t22767+t22973; + t21563 = t22178*t22504; + t22594 = t22181*t21913; + t22093 = RATIONAL(5.0,72.0); + t22434 = t22093*t22731; + t22818 = t21563+y*t22594+t22181*t22434+t21082; + t22639 = t22170*t22181; + t22729 = t21960*z; + t22817 = y*t22639+x*t22729+t22139*t22452+t20613; + t22000 = RATIONAL(1.0,288.0); + t22816 = t22735*t22767+t22039*t22710+t20862+t22000*t22181; + t21798 = t22093*t22181; + t22815 = t21950*t22710+RATIONAL(-245.0,64.0)*t22375+t22167*t22766+t21798; + t22066 = RATIONAL(-50.0,3.0); + t22651 = t22181*RATIONAL(25.0,9.0); + t21891 = RATIONAL(-40.0,27.0); + t22727 = z*t21891; + t22814 = y*t22651+t22066*t22452+x*t22727+t20805; + t21752 = t21843*t22180; + t21936 = RATIONAL(1.0,864.0); + t22813 = t21752+t21936*t22181+(t22749+t22504)*t22767; + t21500 = x*t22726; + t22676 = t22181*t22022; + t22047 = RATIONAL(20.0,3.0); + t22812 = y*t22676+t21500+t20775+t22047*t22452; + t20733 = RATIONAL(32.0,3.0)*t22401; + t22811 = RATIONAL(-20.0,1.0)*t22375+RATIONAL(245.0,27.0)*t22710+t20733+ +RATIONAL(280.0,27.0)*t22766; + t22810 = t21916*t22443+x*t22598+t23027; + t21925 = RATIONAL(20.0,27.0); + t22708 = t21925*t22767; + t22809 = x*t22757+t22180*t22708+t22975; + t22808 = x*t22651+y*t22727+t20799+t22066*t22443; + t22807 = t22072*t22452+y*t22692+t20986+t21735; + t22548 = t22181*t22171; + t21976 = RATIONAL(35.0,16.0); + t21505 = y*t22746; + t21853 = RATIONAL(-245.0,96.0); + t22806 = x*t22548+t21505+t21976*t22443+t21853*t22395; + t22718 = y*t22014; + t21519 = z*t22718; + t21964 = RATIONAL(49.0,48.0); + t21955 = RATIONAL(-35.0,16.0); + t22805 = t21519+x*t22550+t21964*t22395+t21955*t22443; + t22707 = t22061*t22768; + t22804 = x*t22707+t22061*t22710+t21787+t20896; + t22721 = z*t22022; + t21548 = x*t22721; + t22608 = RATIONAL(-25.0,9.0)*t22181; + t21872 = RATIONAL(-175.0,24.0); + t22803 = y*t22608+t21548+t20821+t21872*t22452; + t22484 = t22046*t22180; + t21453 = x*t22484; + t22711 = t22046*t22768; + t22802 = x*t22711+y*t21453+t22950; + t22758 = t22037*z; + t21527 = x*t22758; + t22078 = RATIONAL(-5.0,16.0); + t22538 = t22181*t22030; + t22801 = t21527+y*t22538+t22078*t22452+t21862*t22445; + t22800 = t22020*t22766+RATIONAL(140.0,9.0)*t22710+t22965; + t21956 = RATIONAL(5.0,108.0); + t22799 = t22998+t21956*t23068; + t21617 = y*t22758; + t22798 = t22078*t22443+x*t22538+t21862*t22395+t21617; + t22121 = RATIONAL(7.0,54.0); + t22469 = t22180*t22121; + t21582 = x*t22469; + t22797 = t22121*t22766+y*t21582+t22998; + t22796 = z*t22697+t21922*t22710+t23036; + t22053 = RATIONAL(-5.0,12.0); + t22528 = t22178*t22053; + t21556 = t22181*t22528; + t22795 = x*t21556+t21113+t21485+t23060; + t21488 = y*t22458; + t22279 = t22167*t22527; + t22794 = y*t22279+t21488+t21500+t20684+t21702; + t22648 = t22181*t22088; + t22753 = z*t21931; + t22793 = y*t22648+t20630+t21415+x*t22753+t22094*t22452; + t22792 = t20561+x*t22709+y*t22422+t22933; + t22699 = RATIONAL(25.0,36.0)*t22767; + t22791 = t22099*t22181+t22950+t22725*t22699; + t20869 = t22042*t22395; + t21958 = RATIONAL(35.0,12.0); + t22391 = t21958*t22724; + t22685 = t22181*t22057; + t22790 = t21554+t22181*t22391+x*t22685+t21558+t20869; + t21470 = t22053*t22527; + t22789 = y*t21470+t21459+t21580+t23046; + t22788 = t21549+x*t22639+y*t22729+t22139*t22443+t20481; + t22744 = z*t22133; + t21732 = y*t22744; + t21504 = t22179*t22473; + t21855 = RATIONAL(175.0,24.0); + t22681 = t22181*RATIONAL(-25.0,72.0); + t22787 = t21071+t21732+t21504+x*t22681+t21855*t22443; + t20997 = t22180*t22415; + t22786 = y*t22474+t21970*t22452+t20997+t22977; + t21107 = RATIONAL(-5.0,4.0)*t22375; + t22785 = t21107+t21893*t22710+t21763+z*t22708+t21798; + t21004 = z*t22359; + t22784 = t21997*t22766+t22173*t22181+t21172+t21004+RATIONAL(175.0,36.0)* +t22710; + t21693 = x*t22744; + t22783 = t21693+y*t22681+t21855*t22452+t23056; + t22632 = t22181*RATIONAL(25.0,72.0); + t22537 = t22178*t22039; + t21614 = t22180*t22537; + t22127 = RATIONAL(4.0,27.0); + t22750 = z*t22127; + t21945 = RATIONAL(25.0,24.0); + t22782 = x*t22750+t21614+y*t22632+t21088+t21945*t22452; + t21811 = t22077*t22181; + t22781 = t21894*t22710+t22093*t22766+t21811+t22992; + t22112 = RATIONAL(-5.0,24.0); + t22780 = RATIONAL(49.0,96.0)*t22375+t23057+t23067*t22112; + t21142 = t22180*t22386; + t22583 = t22181*t22003; + t22779 = y*t22583+t21142+t21905*t22452+t22940; + t22420 = t21958*t22731; + t22778 = y*t22685+t20955+t22181*t22420+t22966; + t21546 = y*t22721; + t22777 = t21542+t21546+x*t22608+t21872*t22443+t20853; + t22562 = t22179*t22039; + t21481 = t22180*t22562; + t22776 = t21576+t21481+t21084+t21660+t22001*t22443; + t22775 = t22031*t22766+t21887*t22710+t22933+t22990; + t22011 = RATIONAL(40.0,9.0); + t22774 = t22029*t22766+t22011*t22710+t22965+t22967; + t21581 = t22178*t22524; + t22637 = t22181*t21961; + t22773 = y*t22637+t21581+t21527+t21649+t21147+t22106*t22452; + t22772 = t22988+t23057+t22016*t23068; + t22771 = t22142*t22766+t22057*t22710+t22937+t22967; + t22446 = t22001*t22731; + t22770 = t21672+t22181*t22446+t21614+t21072+t22977; + t22763 = z*t21977; + t22761 = z*t21899; + t22759 = z*t22057; + t22751 = z*t21936; + t21924 = RATIONAL(-56.0,27.0); + t22748 = z*t21924; + t22109 = RATIONAL(-4.0,27.0); + t22745 = z*t22109; + t22740 = z*t22156; + t22739 = t22099*z; + t21912 = RATIONAL(56.0,27.0); + t22736 = z*t21912; + t22722 = z*t21902; + t22719 = z*t21983; + t21708 = x*t22740; + t21917 = RATIONAL(28.0,27.0); + t22704 = t21917*t22767; + t21233 = RATIONAL(-140.0,9.0)*t22767; + t21892 = RATIONAL(-28.0,27.0); + t22696 = t21892*t22767; + t22695 = t22180*t22063; + t21992 = RATIONAL(-35.0,36.0); + t22448 = t21992*t22738; + t20994 = t22180*t22276; + t22693 = x*t22448+t20994; + t21908 = RATIONAL(49.0,27.0); + t22636 = t21908*t22180; + t22691 = t21542+x*t22636; + t22690 = y*t22636+t21618; + t21807 = t22025*t22179; + t22686 = t20994+x*t21488; + t22148 = RATIONAL(8.0,9.0); + t22684 = t22148*t22180; + t22683 = t22180*t22031; + t22682 = t22181*t22024; + t22680 = t22180*t21973; + t20700 = t21886*t22280; + t22674 = t22000*t22445+t20700; + t22673 = t22180*t21901; + t21267 = t21948*t22764; + t22672 = y*t22751+t21267; + t21212 = t22179*t22536; + t22668 = t21212+t21967*t22527; + t22665 = t21752+t21851*t22181; + t22663 = t22127*t22180; + t22662 = t22181*t22123; + t22661 = t21992*t22180; + t22658 = RATIONAL(-112.0,27.0)*t22180; + t22656 = RATIONAL(49.0,216.0)*t22180; + t22655 = t21906*t22180; + t22654 = x*t21771+t21638; + t21792 = t22121*t22181; + t22521 = t22000*t22178; + t22650 = t20697+t22521*t22769; + t21804 = t22028*t22179; + t22649 = t22181*t21956; + t21767 = t21974*t22181; + t22646 = t21946*t22180; + t22644 = t22180*t21931; + t22643 = t21504+x*t22656; + t22642 = t22181*t22132; + t21837 = t22158*t22179; + t21569 = t22077*t22527; + t21432 = t22085*t22564; + t21009 = x*t21432; + t22633 = t21569+t21009; + t22130 = RATIONAL(8.0,3.0); + t21828 = t22130*t22179; + t20539 = RATIONAL(-175.0,9.0)*t22700; + t22631 = t20828+t20539; + t21821 = t22131*t22179; + t22630 = z*t22397+t20562; + t21820 = t22164*t22179; + t22628 = t22180*RATIONAL(-49.0,216.0); + t22625 = RATIONAL(-35.0,216.0)*t22180; + t22624 = t21996*t22180; + t22622 = t22004*t22179; + t22621 = t22180*t22133; + t21674 = t22180*t22555; + t22619 = y*t21768+t21674; + t21321 = t22178*t22551; + t22499 = t22180*RATIONAL(7.0,864.0); + t22618 = t21321+y*t22499; + t22616 = t22136*t22700+t20994; + t22615 = t21498+y*t22722; + t22613 = t22014*t22178; + t22606 = t22014*t22179; + t22454 = t21954*t22179; + t22604 = t22454*t22768+t20562; + t20878 = t22113*t22401; + t22603 = t20878+y*t21642; + t21673 = t22179*t22586; + t22602 = x*t22657+t21673; + t20734 = t22043*t22280; + t22601 = t21792*t22767+t20734; + t22600 = t22180*t22003; + t22599 = t22106*t22180; + t22596 = t22128*t22180; + t22595 = RATIONAL(35.0,288.0)*t22180; + t21365 = t22180*t22610; + t22501 = t22181*t21932; + t22591 = t21365+t22179*t22501; + t22590 = t21966*t22180; + t20575 = t22181*t22699; + t22589 = t21005+t20575; + t22588 = y*t21763+t21563; + t21571 = z*t22519; + t21367 = x*t22722; + t22587 = t21571+t21367; + t22585 = t22090*t22180; + t22584 = y*t22739+t21698; + t21827 = t22164*t22178; + t21826 = t22131*t22178; + t21825 = t22130*t22178; + t22015 = RATIONAL(8.0,27.0); + t22582 = t22180*t22015; + t22581 = t21481+x*t22628; + t22580 = t22109*t22180; + t20850 = t22083*t22280; + t22578 = t20850+y*t21673; + t21831 = t22138*t22178; + t20940 = t21797*t22767; + t22572 = t20940+t20850; + t21833 = t22158*t22178; + t21661 = t22077*t22564; + t22571 = t21581+t21661; + t22570 = t22180*t22029; + t21589 = t22181*t22555; + t22569 = t21619+t21589; + t22567 = t22100*t22180; + t22563 = t22156*t22179; + t22560 = t21936*t22180; + t21494 = t22085*t22575; + t22559 = t21494+t21229; + t22557 = t22092*t22180; + t22553 = t21888*t22180; + t22549 = t22180*t21913; + t21897 = RATIONAL(-35.0,27.0); + t22546 = t22180*t21897; + t22543 = t22074*t22180; + t22542 = t21779+t21767; + t22530 = RATIONAL(-80.0,27.0)*t22180; + t22526 = t22026*t22178; + t21934 = RATIONAL(1.0,192.0); + t22285 = t21934*t22177; + t20581 = z*t22285; + t22517 = t21944*t22179; + t22522 = t22517*t22768+t20581; + t20565 = t22180*t22278; + t22520 = t22181*t22293+t20565; + t22515 = t22181*RATIONAL(-5.0,192.0); + t22514 = RATIONAL(112.0,27.0)*t22180; + t22512 = t22180*RATIONAL(80.0,27.0); + t22482 = t22180*t21985; + t21217 = y*t22482; + t22511 = t21541+t21217; + t22510 = t22180*RATIONAL(35.0,216.0); + t22507 = t21933*t22179; + t22505 = t22181*t22135; + t21900 = RATIONAL(-49.0,27.0); + t22500 = t21900*t22180; + t22498 = t22180*RATIONAL(-7.0,864.0); + t22495 = t22180*t22037; + t22494 = t22181*t22161; + t22493 = t22181*t22089; + t22489 = t22181*t22043; + t22479 = t22181*t21861; + t22476 = t22181*t22011; + t22471 = t21962*t22180; + t22470 = t22181*t22128; + t22466 = t22070*t22180; + t22464 = t21998*t22180; + t22463 = t22000*t22179; + t21269 = t21967*t22575; + t22462 = t21269+y*t22590; + t22461 = t22181*t21928; + t22457 = y*t22628+t21614; + t20951 = t21811*t22767; + t22456 = t20951+t20594; + t22453 = t22181*RATIONAL(35.0,192.0); + t21591 = y*t22662; + t21466 = y*t22593; + t21263 = x*t22649; + t22451 = t21996*t22731; + t22447 = y*t21767; + t21920 = RATIONAL(-25.0,18.0); + t22437 = t21920*t22760; + t22432 = t21986*t22731; + t22150 = RATIONAL(2.0,3.0); + t22430 = t22150*t22731; + t22425 = t22093*t22724; + t21604 = y*t22557; + t21607 = x*t22585; + t21402 = x*t21770; + t21240 = x*t22534; + t21293 = y*t22546; + t21306 = x*t22661; + t21322 = y*t21771; + t21333 = x*t22500; + t21446 = y*t22567; + t21518 = t22085*t22764; + t22419 = t21986*t22724; + t22124 = RATIONAL(40.0,3.0); + t22413 = t22124*t22724; + t22408 = t22148*t22724; + t22399 = t21894*t22731; + t22398 = y*t21788; + t22392 = y*t22532; + t22390 = y*t22463; + t22387 = t22150*t22724; + t22384 = t21842*t22564+t21794+t21614; + t22383 = t21542+t21820+t22181*t22507; + t21492 = y*t22543; + t22382 = t21492+t21674+t21783; + t21712 = t22181*t22552; + t21753 = t21843*z; + t21243 = z*t22529; + t22381 = t21753+t21243+y*t22734; + t22380 = t20888+t20657+RATIONAL(7.0,2.0)*t22375; + t22379 = t21005+RATIONAL(-7.0,16.0)*t22177+t21964*t22375; + t22378 = t21494+t21802+y*t22466; + t22377 = t21227+t21804+t21638; + t22126 = RATIONAL(-56.0,9.0); + t22376 = t21515+t22126*t22564+t21825; + t21701 = t22173*t22527; + t22374 = t21711+t20866+t22053*t22712; + t21621 = t22026*t22527; + t22373 = t21518+t21987*t22713+t20458; + t22372 = t21365+t21649+t22179*t22515; + t21871 = RATIONAL(49.0,192.0); + t20461 = t21871*t22280; + t22371 = t20461+t22982; + t20748 = RATIONAL(-64.0,3.0)*t22280; + t22370 = t20748+RATIONAL(80.0,3.0)*t22375+t20733; + t20692 = t21921*t22395; + t22369 = t21549+t20461+t20692; + t22034 = RATIONAL(-32.0,9.0); + t21635 = t22034*t22669; + t22368 = t21612+t22179*t22476+t21635; + t22367 = t21269+t21754+y*t22646; + t21579 = t22181*t22526; + t21462 = t22181*t22519; + t22366 = t20565+t22980; + t21449 = t22079*t22764; + t21493 = t22034*t22575; + t22365 = t21449+t22178*t22476+t21493; + t21489 = t22181*t22537; + t21512 = t22178*t22487; + t22364 = t20657+RATIONAL(35.0,4.0)*t22375+t20859; + t22363 = t21549+x*t22599+t21810; + t21447 = t22181*t22459; + t22361 = t21209+x*t22595+t21763; + t22360 = t21828+t21613+t22126*t22527; + t21357 = t22181*t22561; + t21275 = t21967*t22669; + t20588 = t21934*t22280; + t22358 = t21275+t20588+t21996*t22395; + t22357 = t21563+t21357+t21803; + t22356 = t21236+t21581+t21808; + t21272 = t22181*t22517; + t22355 = t22181*t22503+t21688+t21823; + t22292 = t21871*t22177; + t20462 = z*t22292; + t22354 = z*t22403+t20462+t21558; + t22353 = t22528*t22769+t21723+t20866; + t21266 = t21944*t22564; + t22155 = RATIONAL(5.0,4.0); + t22352 = t21005+t21114+t22155*t22375; + t21777 = RATIONAL(-16.0,27.0)*t22180; + t21814 = t22015*z; + t22351 = t21777+t21925*t22181+t21814; + t22350 = t21792+t21789+t22014; + t20750 = RATIONAL(64.0,3.0)*t22280; + t22349 = t20750+RATIONAL(16.0,1.0)*t22177+RATIONAL(-112.0,3.0)*t22375; + t21106 = t22150*t22401; + t22348 = t21696+t22142*t22712+t21106; + t22347 = t21812+t22981; + t22346 = t21683+t21565+t21213; + t21722 = t22180*t22563; + t22344 = t22175*t22527+t21829+t21722; + t22342 = t21518+t20549+t21827*t22769; + t20843 = t22117*t22280; + t22341 = RATIONAL(35.0,3.0)*t22375+t20843+t20884; + t22340 = t21665+t21215+t21738; + t21381 = t21932*t22764; + t22339 = z*t22393+t21381+t20562; + t22338 = t20828+RATIONAL(-49.0,3.0)*t22375+RATIONAL(7.0,1.0)*t22177; + t22337 = t22022*t22395+t21725+t21154; + t22335 = t21481+t21842*t22527+t21807; + t22334 = t21260+t21278+t21703; + t22333 = t20457+t22968; + t22332 = t21154+t23005; + t22331 = t21185+y*t22595+t21763; + t22330 = t20594+t21261+t21994*t22395; + t22329 = t22134*t22527+t21702+t21722; + t22327 = t21713+t21812+y*t22730; + t22326 = t20843+RATIONAL(-7.0,1.0)*t22177+RATIONAL(49.0,3.0)*t22375; + t22325 = t21933*t22564+t21827+t21618; + t22324 = t21665+t21914*t22564+t21831; + t22323 = t20994+t21799+y*t22437; + t22322 = t21239+t21726+t21618; + t20686 = t21987*t22395; + t22320 = t21673+t20686+t20457; + t20398 = RATIONAL(-343.0,192.0)*t22280; + t22319 = t21341+t21875*t22445+t20398; + t22318 = t21786+t22909; + t22317 = t21005+RATIONAL(1.0,2.0)*t22375+t21037; + t21050 = t22149*t22280; + t22316 = t21050-t22177+t22172*t22375; + t22315 = t21665+t21449+t22087*t22564; + t22314 = y*t22596+t21802+t21735; + t22312 = y*t22680+t21321+t21783; + t22311 = t21757+t21192+x*t22553; + t20841 = RATIONAL(-32.0,3.0)*t22401; + t22310 = t20843+t20841+RATIONAL(20.0,1.0)*t22375; + t22309 = t21796*t22769+t20462+t21381; + t21727 = t22179*t22621; + t22308 = t21837+t22136*t22527+t21727; + t21069 = t22178*t22279; + t22307 = t21050+t21069+t21106; + t22306 = x*t22546+t21790+t21565; + t22305 = t22014*t22769+t21786+t21547; + t22304 = t21541+y*t22609+t21783; + t22303 = t21721+t22142*t22527+t21727; + t22302 = t21768+t21504+t21746; + t21782 = RATIONAL(16.0,27.0)*t22180; + t22301 = t21892*t22181+t21782+t22133; + t22300 = t21636+t22178*t22515+t21415; + t22299 = t21642+t21837*t22768+t21004; + t22298 = t22093*t22395+t21650+t20734; + t22296 = t21630+t21833*t22769+t21004; + t22295 = t21571+t21822*t22768+t20866; + t20915 = t22026*t22712; + t22294 = t20915+t21571+t20878; + t22291 = t21833+t22136*t22564+t21715; + t22290 = t22132*t22395+t21671+t20850; + t22288 = t21212+t21350+t22181*t22463; + t22287 = t22026+t22090*t22181+t21815; + t22036 = RATIONAL(56.0,9.0); + t22286 = t21493+t22036*t22564+t21826; + t22284 = t21821+t21635+t22036*t22527; + t22282 = t21271+t20581+z*t22451; + t22274 = RATIONAL(392.0,9.0)*t22181+RATIONAL(-56.0,3.0); + t22273 = t22138+t21914*t22181; + t22272 = t22071*t22452+t20607+t22989; + t22271 = y*t21607+t20985+t22601; + t20525 = y*t21263; + t22270 = t22061*t22443+t20525+t20757+t20734; + t20586 = x*t22447; + t22269 = t21944*t22395+t20588+t20586+t22181*t22440; + t20881 = x*t21466; + t22268 = t20881+t22088*t22710+t22520; + t20764 = t22046*t22700; + t22267 = t21005+t20861+x*t21604+t20764; + t20906 = t22014*t22395; + t20780 = x*t21447; + t20625 = y*t21300; + t22266 = t20906+t20780+t20850+t20625; + t21000 = x*t22414; + t22265 = RATIONAL(-5.0,64.0)*t22375+x*t21322+t21000+t20919+t21812*t22767+ +t20565; + t22264 = t22743*t22767+t22180*t22705+t22686+t22937; + t20759 = t22045*t22700; + t22263 = t20843+t20759+t21909*t22766+RATIONAL(-245.0,27.0)*t22710+t21156+ +RATIONAL(8.0,1.0)*t22375; + t22262 = t21107+t21962*t22766+RATIONAL(49.0,108.0)*t22710+t21106+t22693; + t20402 = RATIONAL(980.0,27.0)*t22700; + t22261 = t21233+RATIONAL(-16.0,1.0)*t22177+t20402+t20748+RATIONAL(112.0, +3.0)*t22375+RATIONAL(-560.0,27.0)*t22710; + t22081 = RATIONAL(50.0,3.0); + t22260 = t20813+t21530+t22081*t22452+x*t22736+t22631; + t22259 = t21275+t22104*t22395+t22456+(t21357+t22638)*x; + t20677 = t21887*t22700; + t22258 = t21005+t21169+t20677+t21992*t22766+y*t21306+t21004; + t20477 = t21897*t22700; + t22257 = x*t22662+t20477+t22041*t22443+t22337; + t20480 = t21908*t22700; + t22256 = t22136*t22767+t20480+t22180*t22696+t22316; + t20782 = t22112*t22700; + t22255 = x*t22554+t22181*t22415+t20782+t22369; + t22254 = t22041*t22767+t21912*t22710+t22945+t22975; + t22253 = t22181*t22430+x*t22719+t21624+t20620+t22616; + t22252 = t20891+x*t21446+t22542+t22686; + t20830 = t22069*t22700; + t22251 = t21905*t22766+t20830+RATIONAL(-245.0,36.0)*t22710+t22380; + t22250 = t21591+t20477+t22181*t22392+t22332; + t22249 = t21901*t22766+t20477+t21154+t22180*t22704+t23036; + t22248 = t22178*t22281+x*t22718+RATIONAL(-1.0,16.0)*t22177+t21789*t22767+ +t22601; + t22247 = x*t22682+t22181*t22419+t22693+t22944; + t20489 = t21787*t22767; + t22246 = y*t22634+t20489+t21237+t22178*t21240+t22181*t22451+t20700; + t22245 = x*t22470+t22181*t22433+t22589+t23027; + t20849 = x*t21591; + t22244 = t20849+t22290+(t21489+t22523)*x; + t22243 = t21594+y*t22719+t22181*t22387+t20650+t22616; + t22242 = t20906+t22070*t22443+t22572+t22615; + t20656 = RATIONAL(70.0,27.0)*t22700; + t22241 = t21924*t22710+z*t22704+t20656+t22307; + t22240 = RATIONAL(-49.0,108.0)*t22710+t21978*t22766+t20764+t22317; + t22239 = t22072*t22766+t21914*t22710+t20830+t22364; + t22238 = t20764+t22379+(t22525+t22162)*t22767; + t22237 = t21000+t22366+t23067*t21895; + t22236 = t21000+t22093*t22710+t22520+t22542; + t22235 = t21923*t22452+y*t22579+t23044+t23056; + t22234 = t21050+t22130*t22375+t21897*t22766+t21159+x*t21293+t20656; + t22233 = x*t22594+t22181*t22425+t20940+t22290; + t22232 = t22059*t22766+t20759+t22126*t22710+t22341; + t20410 = RATIONAL(-700.0,27.0)*t22700; + t22231 = t20750+RATIONAL(560.0,27.0)*t22710+RATIONAL(-280.0,27.0)*t22766+ +t20841+RATIONAL(-80.0,3.0)*t22375+t20410; + t20745 = t22075*t22700; + t22230 = t22054*t22767+t22036*t22710+t20745+t22338; + t22229 = t21282+y*t22732+t22113*t22443+t20601+t22456; + t22228 = t21961*t22766+RATIONAL(35.0,108.0)*t22710+t22686+t22934; + t22227 = t20575+t21998*t22766+RATIONAL(-35.0,108.0)*t22710+t22352; + t22226 = t22181*t22398+y*t22623+t21415+t20997+t22999; + t22225 = y*t22470+t22181*t22399+t22589+t23062; + t22224 = t22170*t22443+x*t22678+t21578+t22061*t22395+t22572; + t22223 = y*t22682+t22181*t22432+t21142+t21735+t22693; + t20543 = RATIONAL(245.0,9.0)*t22700; + t22222 = t22012*t22767+t22180*t21233+t20543+t22326; + t21957 = RATIONAL(-49.0,54.0); + t22221 = t20677+z*t22696+t21957*t22710+t22352; + t20652 = x*t21217; + t22220 = t20652+t21985*t22766+t22601+t22988; + t21907 = RATIONAL(25.0,27.0); + t20510 = t21907*t22700; + t22219 = t21050+x*t22659+t20510+t22022*t22443+t22970; + t22218 = t21637+y*t22736+t20783+t22081*t22443+t22631; + t22217 = t20951+t22181*t22400+x*t22472+t22330; + t22216 = x*t22558+t21565+t20869+t21849*t22443+t23021; + t21882 = RATIONAL(-35.0,144.0); + t21980 = RATIONAL(25.0,48.0); + t20545 = t21980*t22700; + t22215 = t20732+t21882*t22710+t20545+t20457+t23050; + t22214 = x*t22640+t20782+t21987*t22443+t22371; + t22213 = t21876*t22395+t20461+t22032*t22443+t20782+t22615; + t22007 = RATIONAL(100.0,9.0); + t22115 = RATIONAL(25.0,3.0); + t22212 = t21917*t22181+t22007*t22710+t21777+t22156+t22115*t22767+t20539+ +t22338; + t22211 = t21940*t22181+t21996+t22973+t21770+t22616+(t22621+t22158)*t22767 +; + t21856 = RATIONAL(-245.0,72.0); + t22141 = RATIONAL(5.0,1.0); + t22210 = t21341+t21721+t21664+t21812+y*t22505+t22141*t22452+t21856*t22445 ++t22949; + t22209 = t21151+z*t22701+t21910*t22710+t22317+t22318; + t22208 = t22140*t22766+t22473*t22767+t21756+RATIONAL(-5.0,576.0)*t22181+ +t22333+t23050; + t22207 = t21518+x*t22583+t21505+t21905*t22443+t22323+t22944; + t22206 = t20690+t21541+t23028+t20461+t22966+(t22275+t22687)*y; + t22205 = t21299+t21853*t22445+y*t22548+t21976*t22452+t22884+t22940; + t22204 = t22065*t22710+t20759+t22087*t22767+t22326+t22350; + t21127 = t22162*t22700; + t22203 = t21321+x*t22716+t21127+t21466+t21412+t20461+t20922+t21755+t22033 +*t22452; + t22202 = t21140+t21563+y*t22649+t22179*t22448+t22305+t22943; + t22201 = t21945*t22443+y*t22750+t21698+t21481+x*t22632+t21105+t22323; + t22200 = t22106*t22443+t21636+t21051+x*t22637+t20734+t21638+t21617+t22938 +; + t22199 = x*t22508+t22030*t22443+t22330+t23040+t23060; + t22080 = RATIONAL(10.0,3.0); + t22198 = RATIONAL(-245.0,48.0)*t22375+t22080*t22710+t22163*t22766+t20608+ +t22347+t22949; + t22197 = x*t22458+t22178*t22418+t20641+t21673+t22323+t23037; + t22196 = t20807+t21542+x*t22676+t22047*t22443+t22869+t23037; + t22195 = RATIONAL(-49.0,16.0)*t22177+t20657+RATIONAL(-5.0,2.0)*t22767+ +RATIONAL(343.0,48.0)*t22375+t20830+t22087*t22710+t22287; + t22194 = t21494+t20624+y*t22642+t21372+x*t22761+t22105*t22452+t22333; + t22193 = y*t22761+t21243+t22105*t22443+x*t22642+t22320+t22968; + t21146 = t22155*t22700; + t22192 = t21146+t21191+t21964*t22445+y*t22550+t21955*t22452+t20398+t22305 +; + t22191 = x*t22723+t20677+y*t22416+t22350+t22379; + t20646 = RATIONAL(-50.0,27.0)*t22700; + t22190 = x*t22645+t22031*t22443+t20646+t22327+t22337; + t22189 = y*t22752+t21891*t22710+t20656+t22287+t22316; + t21012 = y*t21431; + t22188 = t21365+t21753+t21267+x*t22648+y*t22753+t22094*t22443+t20707+ +t21012+t20565; + t22187 = t21263+t21558+t21519+t21786+t21992*t22443+t22943+t23048; + t22186 = t22141*t22443+t21356+x*t22505+t21856*t22395+t22327+t22949; + t22185 = t21951*t22710+t20925+t21763+t21811+t22380+t23001; + t20526 = RATIONAL(125.0,9.0)*t22700; + t22184 = t21918*t22181+t21793+t21782+RATIONAL(50.0,9.0)*t22766+RATIONAL( +-100.0,9.0)*t22710+t20526+t22341; + t20430 = RATIONAL(125.0,12.0)*t22700; + t22183 = t22086*t22766+t22142*t22181+t21816+RATIONAL(-175.0,36.0)*t22710+ +t20430+t21814+t22364; + t22176 = RATIONAL(-1.0,8.0); + t22174 = RATIONAL(1.0,8.0); + t22169 = RATIONAL(4.0,1.0); + t22166 = RATIONAL(5.0,8.0); + t22165 = RATIONAL(-4.0,1.0); + t22159 = RATIONAL(7.0,4.0); + t22157 = RATIONAL(7.0,8.0); + t22152 = RATIONAL(-1.0,4.0); + t22147 = RATIONAL(1.0,4.0); + t22146 = RATIONAL(-2.0,1.0); + t22145 = RATIONAL(-7.0,8.0); + t22144 = RATIONAL(2.0,1.0); + t22143 = RATIONAL(-7.0,4.0); + t22129 = RATIONAL(-5.0,8.0); + t22122 = RATIONAL(-49.0,6.0); + t22114 = RATIONAL(-49.0,9.0); + t22101 = RATIONAL(-16.0,3.0); + t22091 = RATIONAL(10.0,1.0); + t22084 = RATIONAL(25.0,2.0); + t22082 = RATIONAL(-10.0,1.0); + t22073 = RATIONAL(-25.0,2.0); + t22068 = RATIONAL(49.0,9.0); + t22064 = RATIONAL(-80.0,9.0); + t22056 = RATIONAL(49.0,6.0); + t22021 = RATIONAL(35.0,8.0); + t22019 = RATIONAL(-35.0,8.0); + t22018 = RATIONAL(56.0,3.0); + t22013 = RATIONAL(80.0,9.0); + t22006 = RATIONAL(25.0,32.0); + t22002 = RATIONAL(-112.0,9.0); + t21993 = RATIONAL(-200.0,9.0); + t21989 = RATIONAL(160.0,9.0); + t21984 = RATIONAL(5.0,192.0); + t21979 = RATIONAL(112.0,9.0); + t21969 = RATIONAL(-25.0,54.0); + t21965 = RATIONAL(-25.0,48.0); + t21959 = RATIONAL(25.0,96.0); + t21949 = RATIONAL(-25.0,27.0); + t21942 = RATIONAL(-224.0,9.0); + t21941 = RATIONAL(-25.0,32.0); + t21939 = RATIONAL(25.0,54.0); + t21930 = RATIONAL(-25.0,12.0); + t21927 = RATIONAL(-25.0,96.0); + t21926 = RATIONAL(25.0,18.0); + t21904 = RATIONAL(-392.0,9.0); + t21896 = RATIONAL(25.0,12.0); + t21885 = RATIONAL(200.0,9.0); + t21883 = RATIONAL(-175.0,18.0); + t21881 = RATIONAL(-343.0,18.0); + t21879 = RATIONAL(343.0,18.0); + t21874 = RATIONAL(175.0,18.0); + t21873 = RATIONAL(-175.0,32.0); + t21860 = RATIONAL(196.0,27.0); + t21859 = RATIONAL(100.0,27.0); + t21857 = RATIONAL(-100.0,27.0); + t21852 = RATIONAL(175.0,32.0); + t21850 = RATIONAL(-196.0,27.0); + t21844 = RATIONAL(-343.0,72.0); + t21840 = RATIONAL(49.0,288.0); + t21813 = t22049*t22181; + t21806 = t22102*t22181; + t21778 = RATIONAL(5.0,576.0)*t22181; + t21764 = t21966*t22181; + t21745 = y*t22671; + t21741 = t22154*t22564; + t21740 = y*t22740; + t21737 = t22140*t22564; + t21734 = t22156*t22564; + t21728 = t22179*t22494; + t21718 = t22133*t22564; + t21714 = t22133*t22527; + t21707 = t22149*t22527; + t21704 = t22156*t22527; + t21700 = y*t22694; + t21694 = x*t22684; + t21692 = t22162*t22527; + t21691 = y*t22684; + t21687 = t22162*t22564; + t21685 = t22140*t22527; + t21684 = t22154*t22527; + t21681 = y*t22653; + t21680 = t22178*t22494; + t21679 = t22179*t22481; + t21670 = x*t22570; + t21667 = y*t22664; + t21666 = t22009*t22527; + t21663 = x*t22695; + t21659 = t22009*t22564; + t21654 = y*t22570; + t21647 = t22100*t22527; + t21645 = t22181*t22506; + t21644 = t22023*t22527; + t21639 = y*t22495; + t21633 = t22179*t22491; + t21628 = x*t22683; + t21623 = t22080*t22564; + t21622 = t22178*t22491; + t21615 = y*t21816; + t21606 = t22100*t22564; + t21605 = y*t22683; + t21602 = x*t22745; + t21599 = t22179*t22455; + t21595 = y*t22759; + t21593 = x*t22759; + t21592 = t22050*t22564; + t21587 = y*t22582; + t21586 = y*t22667; + t21585 = y*t21790; + t21577 = x*t22567; + t21575 = y*t22541; + t21570 = y*t22484; + t21567 = x*t22543; + t21561 = x*t22580; + t21557 = y*t22580; + t21553 = y*t22599; + t21545 = y*t21802; + t21539 = t22080*t22527; + t21537 = x*t22495; + t21535 = y*t22695; + t21534 = y*t22745; + t21532 = y*t22585; + t21531 = t22179*t22458; + t21526 = x*t21816; + t21523 = t22112*t22527; + t21513 = t22112*t22564; + t21510 = y*t22663; + t21509 = y*t22469; + t21508 = x*t22663; + t21497 = x*t22466; + t21496 = x*t22596; + t21495 = x*t22557; + t21486 = y*t21810; + t21484 = x*t21790; + t21483 = x*t21810; + t21478 = t22179*t22493; + t21475 = x*t22739; + t21465 = t22178*t22455; + t21460 = t22178*t22493; + t21448 = t22179*t22489; + t21442 = x*t22582; + t21437 = t22088*t22564; + t21433 = t22178*t22489; + t21428 = x*t22590; + t21427 = t22181*t22454; + t21424 = x*t22464; + t21423 = x*t22680; + t21418 = y*t22655; + t21417 = y*t22500; + t21414 = y*t22600; + t21411 = x*t22482; + t21406 = x*t22763; + t21403 = y*t22560; + t21398 = t22181*t22460; + t21395 = y*t22530; + t21389 = x*t22498; + t21387 = x*t22655; + t21385 = y*t21770; + t21380 = x*t22549; + t21373 = x*t22530; + t21370 = t22004*t22527; + t21369 = x*t22624; + t21368 = y*t22644; + t21360 = x*t21768; + t21352 = x*t22560; + t21351 = t21967*t22564; + t21347 = t22178*t22508; + t21340 = x*t22644; + t21336 = x*t22751; + t21334 = y*t22717; + t21329 = x*t22512; + t21324 = t22179*t22508; + t21323 = x*t22748; + t21320 = y*t22660; + t21319 = x*t22535; + t21318 = t21954*t22564; + t21315 = x*t22673; + t21314 = t21984*t22527; + t21313 = y*t22763; + t21311 = y*t22464; + t21308 = y*t22661; + t21305 = t21984*t22564; + t21302 = y*t22553; + t21297 = t22179*t22461; + t21295 = y*t22673; + t21291 = y*t22549; + t21288 = x*t22600; + t21274 = x*t22488; + t21270 = x*t22646; + t21265 = t21948*t22564; + t21264 = x*t22499; + t21255 = t21948*t22527; + t21250 = t22178*t22461; + t21248 = y*t22498; + t21242 = y*t22512; + t21235 = t22178*t22501; + t21225 = y*t22748; + t21224 = y*t22471; + t21222 = t22181*t22521; + t21221 = y*t22624; + t21219 = t22179*t22474; + t21218 = x*t22471; + t21216 = t22178*t22474; + t21210 = t22178*t22479; + t21208 = t22179*t22453; + t21207 = x*t22514; + t21205 = x*t22658; + t21203 = y*t22592; + t21200 = t22179*t22479; + t21198 = y*t22625; + t21195 = x*t22510; + t21193 = t22178*t22453; + t21190 = t22179*t22485; + t21188 = y*t22514; + t21187 = t21882*t22564; + t21182 = x*t22625; + t21181 = y*t22656; + t21180 = y*t22658; + t21179 = y*t22510; + t21175 = t21882*t22527; + t21171 = z*t22426; + t21167 = z*t22429; + t21160 = z*t22389; + t21157 = t22181*t22362; + t21152 = z*t22427; + t21145 = z*t22386; + t21141 = x*t21723; + t21133 = t21830*t22769; + t21132 = z*t22444; + t21111 = t22148*t22712; + t21110 = x*t21726; + t21108 = t22137*t22712; + t21104 = t22556*t22769; + t21100 = z*t22408; + t21099 = y*t21703; + t21098 = t22179*t21732; + t21096 = t21825*t22769; + t21095 = t21836*t22768; + t21093 = t22178*t21708; + t21091 = y*t21683; + t21086 = t22137*t22713; + t21078 = t21828*t22768; + t21075 = t21826*t22769; + t21073 = t22178*t21693; + t21070 = t21834*t22768; + t21068 = t21831*t22769; + t21063 = t21821*t22768; + t21061 = z*t22405; + t21059 = t22563*t22768; + t21057 = z*t22396; + t21053 = t22180*t22408; + t21049 = t21820*t22768; + t21045 = t22148*t22395; + t21036 = x*t21494; + t21034 = x*t21518; + t21032 = z*t22410; + t21028 = z*t22400; + t21022 = z*t22425; + t21020 = z*t22438; + t21019 = y*t21662; + t21014 = z*t22423; + t21013 = RATIONAL(-1.0,32.0)*t22375; + t20991 = t22179*t21546; + t20988 = z*t22407; + t20987 = z*t22392; + t20984 = z*t22411; + t20966 = z*t22434; + t20963 = y*t21547; + t20962 = t22178*t21548; + t20961 = t22526*t22769; + t20954 = t22179*t22711; + t20953 = t22179*t22707; + t20950 = z*t22409; + t20948 = z*t22441; + t20936 = t21804*t22768; + t20935 = t22545*t22769; + t20931 = z*t22428; + t20929 = t21807*t22768; + t20926 = t22114*t22712; + t20921 = z*t22398; + t20917 = t22606*t22768; + t20916 = t22061*t22713; + t20913 = x*t21594; + t20897 = t22180*t22410; + t20885 = t22179*t21512; + t20883 = t22111*t22712; + t20879 = RATIONAL(5.0,64.0)*t22375; + t20875 = t22114*t22713; + t20868 = x*t21558; + t20865 = t22179*t22698; + t20858 = t22047*t22712; + t20848 = t22051*t22713; + t20847 = t22537*t22769; + t20838 = t22064*t22713; + t20832 = t22068*t22712; + t20823 = z*t22412; + t20822 = t22607*t22768; + t20820 = t22051*t22712; + t20819 = t22071*t22712; + t20818 = t22483*t22768; + t20816 = t22047*t22713; + t20811 = t22064*t22712; + t20808 = t22068*t22713; + t20806 = t22028*t22395; + t20804 = t22013*t22712; + t20802 = t22013*t22713; + t20798 = t22124*t22395; + t20797 = t22035*t22712; + t20793 = t22035*t22713; + t20791 = x*t21630; + t20785 = t22097*t22713; + t20781 = t22613*t22769; + t20777 = y*t21624; + t20776 = t22531*t22769; + t20774 = z*t22388; + t20771 = t22562*t22768; + t20769 = t22060*t22395; + t20767 = t22060*t22445; + t20760 = t22180*t22413; + t20746 = t22101*t22445; + t20740 = t22180*t22425; + t20723 = t22101*t22395; + t20705 = t21888*t22712; + t20695 = z*t22450; + t20694 = t21989*t22395; + t20691 = RATIONAL(-49.0,96.0)*t22375; + t20689 = z*t22421; + t20678 = z*t22419; + t20673 = z*t22436; + t20670 = z*t22449; + t20667 = z*t22433; + t20664 = z*t22432; + t20651 = z*t22435; + t20643 = z*t22406; + t20640 = t22180*t22390; + t20638 = z*t22399; + t20633 = z*t22390; + t20632 = z*t22402; + t20626 = t22622*t22768; + t20622 = z*t22404; + t20617 = z*t22424; + t20611 = z*t22420; + t20604 = RATIONAL(-49.0,32.0)*t22375; + t20600 = z*t22391; + t20590 = t21944*t22713; + t20582 = t22180*t22417; + t20576 = z*t22417; + t20548 = t21981*t22445; + t20547 = z*t22446; + t20544 = t21979*t22712; + t20542 = t21979*t22713; + t20532 = t21981*t22395; + t20529 = t22002*t22713; + t20494 = t21942*t22395; + t20493 = t21942*t22445; + t20491 = t22002*t22712; + t20487 = t21989*t22445; + t20469 = t22181*t22285; + t20452 = t21844*t22395; + t20447 = t22181*t22292; + t20440 = t21844*t22445; + t20437 = t21842*t22395; + t20428 = t21840*t22445; + t20418 = t21869*t22395; + t20408 = t21840*t22395; + coeff_dxy_m2_m2_m2 = t21272+t21266+t20885+t21764+t20576+t20582+t21270+( +t21963+t22506)*t22738+((t21963+t22675)*t22181+(t22678+t22725*t21902)*y)*x+ +t22282+t22358+t22367+t22957+t23016; + coeff_dxy_m1_m2_m2 = t21032+t22199+t20897+t21661+y*t21795+t21423+t21427+ +t20899+t22382+t22804+t22907+t22974; + coeff_dxy_0_m2_m2 = t21633+y*t21701+t21420+t21036+t21406+t22244+t21034+ +t22797+t22910; + coeff_dxy_p1_m2_m2 = t22772+t21380+t21621+(t22102+t22666)*t22738+t22200+ +t21057+t21639+t21022+t20740+t22972+t22983; + coeff_dxy_p2_m2_m2 = t20927+t21368+t20705+t22447+t21369+t21222+t21370+ +t21028+t22188+t22813+t22976+t22980+t23017; + coeff_dxy_p3_m2_m2 = y*t21462+t20695+t20489+t21352+t21336+t22288+t22650+ +t22674+t22871+t22873; + coeff_dxy_m2_m1_m2 = t21020+t20594+t22633+t21567+t21571+t21318+t21334+ +t22312+t22804+x*t21795+t22339+t22822+t22928+t23040; + coeff_dxy_m1_m1_m2 = t22206+t21813+t21980*t23068+t21540+t21553+t21544+ +t20689+t20691+t20692+t22354+t22363+t22893; + coeff_dxy_0_m1_m2 = t21167+t20678+t21526+t22258+t21714+t22810+t22858; + coeff_dxy_p1_m1_m2 = t21704+t21489+t21496+t21171+t22207+t20667+t22378+ +t22791+t22794; + coeff_dxy_p2_m1_m2 = t21398+t21657+t22193+t21653+t20670+t22780+t22786+ +t23011+t23054; + coeff_dxy_p3_m1_m2 = t21644+t20819+t21402+t22237+t20673+t22620+t22825+ +t23052; + coeff_dxy_m2_0_m2 = t20849+t21622+t21019+x*t21712+t21313+t22578+t22588+ +t22797+t22861+t23013; + coeff_dxy_m1_0_m2 = t21615+t21718+t22258+t21160+t20664+t22826+t22899; + coeff_dxy_0_0_m2 = t20822+t20984+t21908*t23068+t22945+t22960+t23007+ +t23061; + coeff_dxy_p1_0_m2 = t20987+t21585+t21734+t20988+t22234+t22807+t22892; + coeff_dxy_p2_0_m2 = t21152+t20651+t21581+t21579+t21322+t22243+t22802+ +t22897; + coeff_dxy_p3_0_m2 = t20961+t20963+t22220+t22984+t23063; + coeff_dxy_m2_p1_m2 = t22772+t21644+t22773+t20966+t21579+t21537+t21291+ +t21141+(t22641+t22102)*t22760+t22298+t22938+t23025; + coeff_dxy_m1_p1_m2 = t21497+t21657+t21734+t21145+t22197+t20638+t22314+ +t22779+t22791; + coeff_dxy_0_p1_m2 = t21704+t21484+t20935+t20950+t22234+t22679+t22827+ +t22913; + coeff_dxy_p1_p1_m2 = t21721+t21813+t21718+t22190+t21907*t23068+t20991+ +t21667+t20962+t21714+t22854+t23005+t23023+t23061; + coeff_dxy_p2_p1_m2 = t21622+t21627+t21544+t20643+t22202+t22296+t22788+ +t22828+t22939; + coeff_dxy_p3_p1_m2 = t21569+t21360+t20953+t22224+t20781+t22587+t22799+ +t23042; + coeff_dxy_m2_p2_m2 = t20936+t21221+t22793+t21398+t20780+t22381+t22366+ +t21012+t21340+t20806+t22288+t20632+x*t21767+t22813; + coeff_dxy_m1_p2_m2 = t21365+t21575+t21489+t21319+t20929+t21370+t22194+ +t22373+t22780+t22830; + coeff_dxy_0_p2_m2 = t21621+t21132+t22253+t20622+t22654+t22802+t22894; + coeff_dxy_p1_p2_m2 = t21633+t21540+t22187+t20617+t21274+t22299+t22304+ +t22817+t22828; + coeff_dxy_p2_p2_m2 = t20921+t21764+t22083*t23068+t21318+t21240+t21427+ +t22203+t20691+t22309+t22872+t22971+t22982; + coeff_dxy_p3_p2_m2 = t21272+t21428+t22259+t22630+t22868+t22885+t22953; + coeff_dxy_m2_p3_m2 = t20633+x*t21589+t21403+t21222+t22246+t20640+t22672+ +t22871+t22952; + coeff_dxy_m1_p3_m2 = t21385+t20931+t22237+t20626+t22605+t22844+t22972+ +t23030; + coeff_dxy_0_p3_m2 = t20868+t20915+t22220+t22920+t22993; + coeff_dxy_p1_p3_m2 = t22242+t21661+t20917+t20916+t22619+t22799+t22846; + coeff_dxy_p2_p3_m2 = t21014+t21266+t22229+t22462+t22604+t22848+t22868; + coeff_dxy_p3_p3_m2 = t20590+t20885+t21931*t23068+t22269+t22522+t22997; + coeff_dxy_m2_m2_m1 = t22199+t20879+t21320+t21314+t21305+t21778+t21321+ +t20961+x*t21655+t20652+t22294+t22822+t22942; + coeff_dxy_m1_m2_m1 = t22206+t21513+t21534+(t22006*t22178+t21959)*t22760+ +t21532+t20437+t20865+t21190+t22353+t22792+t22986; + coeff_dxy_0_m2_m1 = t21110+t22221+t21491+t21111+t22643+t22858+t22895; + coeff_dxy_p1_m2_m1 = t21104+t21182+t21509+t21494+t21470+t21108+t22785+ +t21460+t21106+t22201+t22794; + coeff_dxy_p2_m2_m1 = t20954+t22208+t21133+t21418+t21208+t22300+t22786+ +t22798+t23006; + coeff_dxy_p3_m2_m1 = t21401+t21389+t20917+t20913+t22265+t22372+t22853+ +t23052; + coeff_dxy_m2_m1_m1 = t21203+t21602+t20774+t22369+(t22006*t22179+t21959)* +t22738+t21607+t21523+t22792+t22374+t22893+t22917+t22958+t23028; + coeff_dxy_m1_m1_m1 = t21595+t21359+t20600+t21593+(t21930+t21873*t22179)* +t22738+((t21873*t22178+t21930)*t22181+(RATIONAL(125.0,16.0)*t22181+t22052*z+ +RATIONAL(-175.0,48.0)*t22180)*y)*x+t20611+t22319+t22916+t22930+t22936+t22959+ +t22996+t23014; + coeff_dxy_0_m1_m1 = t21323+t22084*t22452+t21333+t20875+t20883+t22216+ +t20440+t22821+t22987; + coeff_dxy_p1_m1_m1 = t20858+t21308+t21539+t21325+(t22073*t22179+t21896)* +t22738+t20848+t22183+t22777+t22932+t23000+t23039; + coeff_dxy_p2_m1_m1 = t22806+t21495+t22342+t21193+t22334+t22331+(t21927+ +t21852*t22179)*t22738+t21708+t20547+t20548+t22815+t22884; + coeff_dxy_p3_m1_m1 = t21941*t22452+t21475+t21478+t20847+t22215+t20686+ +t20428+t22602+t22991+t23045; + coeff_dxy_m2_0_m1 = t22221+t21457+t21181+t21099+t21100+t22820+t22899; + coeff_dxy_m1_0_m1 = t21225+t20948+t20452+t20926+t21417+t22084*t22443+ +t22315+t22821+t22900+t23021; + coeff_dxy_0_0_m1 = t20543+t20544+t20542+(RATIONAL(-392.0,27.0)*z+RATIONAL +(-343.0,27.0)*t22180)*t22767+t22310+t22926+t23020; + coeff_dxy_p1_0_m1 = t21623+t22218+t20491+t20838+t22690+t22811+t22876; + coeff_dxy_p2_0_m1 = t21556+t22239+t21096+t20832+t22457+t22849+t22878; + coeff_dxy_p3_0_m1 = t21093+t21091+t22262+t22925+t22947; + coeff_dxy_m2_p1_m1 = t21086+t21582+t21556+t21198+t21478+t22197+t22348+ +t22782+t22785; + coeff_dxy_m1_p1_m1 = (t22073*t22178+t21896)*t22760+t20816+t21623+t21306+ +t20820+t22183+t20418+t22334+t22803+t22906+t23009; + coeff_dxy_0_p1_m1 = t21539+t22260+t20811+t20529+t22691+t22811+t22877; + coeff_dxy_p1_p1_m1 = t21293+t20804+(RATIONAL(-175.0,27.0)*t22180+RATIONAL +(-200.0,27.0)*z)*t22767+t22306+t20802+t22315+t22808+t20526+t22310+t22814+t22936 ++t22987; + coeff_dxy_p2_p1_m1 = t21179+t21453+t21457+t22186+t21075+t20797+t22775+ +t22783+t22959; + coeff_dxy_p3_p1_m1 = t21549+t21411+t22227+t21523+t21073+t22839+t22865+ +t22927; + coeff_dxy_m2_p2_m1 = t21095+t21518+t21387+t21193+t22208+t20823+t22372+ +t22801+t22830+t23051; + coeff_dxy_m1_p2_m1 = t21740+(t21852*t22178+t21927)*t22760+t22205+t21049+ +t21604+t21208+t20532+t22361+t22815+t22932+t23059; + coeff_dxy_0_p2_m1 = t21470+t22239+t21078+t20808+t22581+t22836+t22867; + coeff_dxy_p1_p2_m1 = t21491+t21570+t21195+t22210+t21063+t22775+t20793+ +t22787+t22996; + coeff_dxy_p2_p2_m1 = t22192+t21068+t21302+t21778+(t22038*t22180+t22139*z) +*t22767+t21190+t21070+t22311+t22805+t22917+t23014; + coeff_dxy_p3_p2_m1 = t21314+t21264+t21367+t20785+t22214+t22295+t22866+ +t23002; + coeff_dxy_m2_p3_m1 = t21248+t20777+t21391+t20781+t22265+t22300+t22851+ +t23030; + coeff_dxy_m1_p3_m1 = t21941*t22443+t20771+t20408+t21460+t20776+t22215+ +t22559+t22584+t22880; + coeff_dxy_0_p3_m1 = t21061+t21059+t22262+t22931+t22961; + coeff_dxy_p1_p3_m1 = t21098+t21513+t22227+t22511+t22898+t22902+t23064; + coeff_dxy_p2_p3_m1 = t21305+t22213+t20818+t22618+t22866+t22879+t23055; + coeff_dxy_p3_p3_m1 = t20791+t20879+(t22655+t22758)*t22767+t22272+t22603+ +t22994; + coeff_dxy_m2_m2_0 = (t22023+t22043*t22179)*y+t21545+(t22023+t22577+( +t22663+t22170)*y)*x+t22244+t22357+t22861+t22914+t22941+t22946+t23026; + coeff_dxy_m1_m2_0 = (t22089+t22166*t22178)*x+t21587+(t22173+t22040*t22179 +)*y+t21504+t21577+t22191+t22826+t22895+t22924+t22995; + coeff_dxy_0_m2_0 = y*t22547+t20769+t21315+(t21827+t22092+(t21933*t22178+ +t21884)*t22181)*x+t22254+t22308+t22960; + coeff_dxy_p1_m2_0 = (t22100+t22688)*x+t21535+t22189+t21288+(t22161*t22179 ++t22140)*y+t22344+t22807+t22852+t22923; + coeff_dxy_p2_m2_0 = (t22043+t22152*t22178)*x+(t22038*t22179+t22077)*y+ +t21697+t21486+t22211+t22335+t22356+t22887+t22897; + coeff_dxy_p3_m2_0 = y*t22566+t21009+t21567+(t22088+t22094*t22178)*x+ +t22248+t22377+t22935+t23063; + coeff_dxy_m2_m1_0 = t21446+(t22040*t22178+t22173)*x+(t22166*t22179+t22089 +)*y+t21442+t22191+t22810+t22820+t22948+t23034; + coeff_dxy_m1_m1_0 = t21654+t21670+(t22163+t22019*t22179)*y+(t22163+t22019 +*t22178+(RATIONAL(25.0,4.0)+t22115*t22180)*y)*x+t22216+t22301+t22324+t22900+ +t23018+t23047; + coeff_dxy_0_m1_0 = t20798+t21207+t22091*t22731+(t22056*t22178+t22059+( +t21850+t21881*t22178)*t22181)*x+t22222+t22284+t23020; + coeff_dxy_p1_m1_0 = t21605+(t22029+t22042*t22178)*x+(t22082*t22179+t22167 +)*y+t21373+t22212+t22325+t22360+t22876+t22903; + coeff_dxy_p2_m1_0 = (t22159*t22178+t22150)*x+t21586+(t22021*t22179+t22112 +)*y+t21694+t22195+t22383+t22384+t22835+t22849; + coeff_dxy_p3_m1_0 = t21561+t22129*t22731+(t22105*t22178+t22132)*x+t22247+ +t22819+t22925+t23049; + coeff_dxy_m2_0_0 = t20767+t21295+t22149*t22724+(t22092+t21820+(t21884+ +t22507)*t22181)*y+t22254+t22291+t23007; + coeff_dxy_m1_0_0 = t21188+t20760+t22091*t22724+(t22056*t22179+t22059+( +t21850+t21881*t22179)*t22181)*y+t22222+t22286+t22926; + coeff_dxy_0_0_0 = t20493+t20494+t22274*t22731+(t22274*t22178+(RATIONAL( +196.0,9.0)+RATIONAL(-1372.0,27.0)*t22181+RATIONAL(784.0,27.0)*t22180)*y)*x+ +t22349; + coeff_dxy_p1_0_0 = t22413+t21180+t20487+(t22018*t22179+t22072+(t21860+ +t21904*t22179)*t22181)*y+t22261+t22376+t23032; + coeff_dxy_p2_0_0 = t21224+t20746+t22165*t22724+(t22046+t22122*t22179+( +t21957+t21879*t22179)*t22181)*y+t22230+t22355+t22922; + coeff_dxy_p3_0_0 = t21053+t22387+t22273*t22731+t22256+t22915; + coeff_dxy_m2_p1_0 = t21663+t21414+t22189+(t22140+t22576)*x+(t22100+t22568 +)*y+t22355+t22827+t22888+t23049; + coeff_dxy_m1_p1_0 = t21395+t21628+t22212+(t22042*t22179+t22029)*y+(t22167 ++t22082*t22178)*x+t22376+t22383+t22877+t22889; + coeff_dxy_0_p1_0 = t20694+t22124*t22731+t21205+(t22018*t22178+t22072+( +t21904*t22178+t21860)*t22181)*x+t22261+t22360+t23029; + coeff_dxy_p1_p1_0 = t21242+t21329+t22286+(t22062*t22179+t22031)*y+t22284+ +(t22031+t22062*t22178+(RATIONAL(400.0,27.0)*t22180+t22007)*y)*x+t20410+t22301+ +t22349+t22855+t22881; + coeff_dxy_p2_p1_0 = t21311+(t22125+t22069*t22179)*y+t21748+t22204+(t22139 ++t22169*t22178)*x+t22291+t22833+t22886+t23018; + coeff_dxy_p3_p1_0 = t21508+t22426+(t22170+t22139*t22178)*x+t22257+t22809+ +t22911+t23034; + coeff_dxy_m2_p2_0 = (t22077+t22038*t22178)*x+t21700+(t22043+t22152*t22179 +)*y+t21483+t22211+t22377+t22384+t22864+t22894; + coeff_dxy_m1_p2_0 = (t22112+t22021*t22178)*x+t21691+t21450+(t22159*t22179 ++t22150)*y+t22195+t22325+t22335+t22836+t22840; + coeff_dxy_0_p2_0 = t21218+t20723+t22165*t22731+(t22122*t22178+t22046+( +t21879*t22178+t21957)*t22181)*x+t22230+t22344+t22919; + coeff_dxy_p1_p2_0 = t22204+(t22125+t22069*t22178)*x+(t22139+t22169*t22179 +)*y+t21424+t21681+t22308+t22324+t22838+t22860; + coeff_dxy_p2_p2_0 = t22235+t21745+(t22143*t22179+t22083)*y+(y+t22083+ +t22161*t22737+t22143*t22178)*x+t22302+t22841+t22914+t22924+t22948+t23047; + coeff_dxy_p3_p2_0 = t22147*t22731+t21537+(t22107+t22033*t22178)*x+t22238+ +t22823+t22941+t22964; + coeff_dxy_m2_p3_0 = t22083*t22724+t21492+(t22088+t22094*t22179)*y+t22248+ +t22356+t22847+t22920; + coeff_dxy_m1_p3_0 = t22129*t22724+t21557+(t22132+t22105*t22179)*y+t22223+ +t22819+t22923+t22931; + coeff_dxy_0_p3_0 = t21045+t22430+t22273*t22724+t22256+t22979; + coeff_dxy_p1_p3_0 = t22386+t21510+(t22170+t22139*t22179)*y+t22250+t22809+ +t22995+t23015; + coeff_dxy_p2_p3_0 = t22147*t22724+t21639+(t22107+t22033*t22179)*y+t22238+ +t22357+t22896+t23008; + coeff_dxy_p3_p3_0 = t22431+(t22113*t22178+(t22077+t21810)*y)*x+t22266+ +t22946+t23058; + coeff_dxy_m2_m2_p1 = t22773+t21483+t21486+t21216+t21219+t22200+t20917+ +t20781+(t22739+t22580)*t22767+t22963+t23010; + coeff_dxy_m1_m2_p1 = t20954+t22771+t21450+t21535+t21175+t20776+t22201+ +t22779+t22954; + coeff_dxy_0_m2_p1 = t21218+t21482+t22241+t21108+t21061+t22329+t22852+ +t22913; + coeff_dxy_p1_m2_p1 = t21587+t22796+t21606+t21534+t22332+(t21939+t21926* +t22178)*t22760+t22303+t21111+t21424+t20769+t20646+t22347+t22854+t23064; + coeff_dxy_p2_m2_p1 = t21200+t21347+t21545+t20865+t22202+t22302+t22795+ +t22829+t23055; + coeff_dxy_p3_m2_p1 = t21537+t21324+t21367+t20791+t22233+t22294+t22863+ +t23042; + coeff_dxy_m2_m1_p1 = t22771+t21531+t21663+t21586+t22207+t21187+t20823+ +t22782+t23045; + coeff_dxy_m1_m1_p1 = t21605+t22777+t21628+(RATIONAL(25.0,6.0)*z+RATIONAL( +-25.0,3.0)*t22180)*t22767+t22322+t22351+t20547+t20430+t22803+t22985+t23035+ +t23059; + coeff_dxy_0_m1_p1 = t20858+t21205+t22260+t20808+t22800+t22903+t23019; + coeff_dxy_p1_m1_p1 = (t21883*t22178+t21857)*t22760+t21654+t21329+t21595+ +t20798+t22184+t20883+t20793+t22340+t22368+t22814; + coeff_dxy_p2_m1_p1 = t21068+t21446+t21748+t21210+t20611+t22198+t22346+ +t22783+t22790; + coeff_dxy_p3_m1_p1 = t21647+t21508+t20785+t22245+t22374+t22857+t22865; + coeff_dxy_m2_0_p1 = t21086+t21224+t22241+t21091+t22888+t22892+t22951; + coeff_dxy_m1_0_p1 = t20816+t22218+t21180+t20832+t22800+t22889+t23012; + coeff_dxy_0_0_p1 = t20529+t20491+t20402+(RATIONAL(392.0,27.0)*z+RATIONAL( +-784.0,27.0)*t22180)*t22767+t22370+t23029+t23032; + coeff_dxy_p1_0_p1 = t21188+t21885*t22443+t21225+t20802+t20544+t22231+ +t20494+t22365+t22855; + coeff_dxy_p2_0_p1 = t22232+t21295+t21075+t20926+t22886+t22901+t23065; + coeff_dxy_p3_0_p1 = t21099+t21073+t22249+t22911+t22956; + coeff_dxy_m2_p1_p1 = t21602+t21311+t21647+t22190+t20767+t21442+(t21939+ +t21926*t22179)*t22738+t21100+t22796+t22927+t22981+t23065; + coeff_dxy_m1_p1_p1 = t21242+t20948+(t21883*t22179+t21857)*t22738+t21670+ +t21593+t20797+t22184+t20760+t22346+t22365+t22808; + coeff_dxy_0_p1_p1 = t21323+t20804+t21885*t22452+t21207+t20493+t22231+ +t20542+t22368+t22881; + coeff_dxy_p1_p1_p1 = t21395+((t21993*t22178+t21859)*t22181+(RATIONAL( +200.0,27.0)*z+RATIONAL(500.0,27.0)*t22181+RATIONAL(-400.0,27.0)*t22180)*y)*x+ +t21373+(t21993*t22179+t21859)*t22738+t20838+t22351+t20811+t20694+t20487+t22370+ +t23000+t23009+t23012+t23019; + coeff_dxy_p2_p1_p1 = t21414+t22196+(t21874*t22179+t21969)*t22738+t21096+ +t20820+t22774+t21694+t21708+t20746+t22951+t23035; + coeff_dxy_p3_p1_p1 = t21053+t22219+t21561+t21531+t21920*t22452+t21475+ +t21093+t21069+t22348+t22908; + coeff_dxy_m2_p2_p1 = t20774+t21745+t21324+t21210+t22187+t22295+t22789+ +t22829+t23026; + coeff_dxy_m1_p2_p1 = t21200+t20600+t21577+t21681+t21070+t22198+t22340+ +t22778+t22787; + coeff_dxy_0_p2_p1 = t21315+t21529+t22232+t20875+t21063+t22303+t22838+ +t23024; + coeff_dxy_p1_p2_p1 = t20723+t21740+t21691+t21288+t21078+t22329+t22322+( +t21969+t21874*t22178)*t22760+t22774+t20848+t22812+t22869; + coeff_dxy_p2_p2_p1 = t21700+t21697+t22342+t21175+t21187+(t22150*z+t22149* +t22180)*t22767+t21049+t22776+t22770+t22985+t23001+t23010; + coeff_dxy_p3_p2_p1 = t21095+t21567+t21219+t22264+t20847+t22832+t22890; + coeff_dxy_m2_p3_p1 = t22242+t21347+t20961+t21639+t22603+t22818+t22863; + coeff_dxy_m1_p3_p1 = t21606+t21510+t22225+t20818+t22353+t22857+t22898; + coeff_dxy_0_p3_p1 = t21110+t21098+t22249+t22929+t23015; + coeff_dxy_p1_p3_p1 = t21557+t21059+t21104+t20510+t21045+t22178*t22437+ +t22307+t22584+t22834+t22908+t22954; + coeff_dxy_p2_p3_p1 = t20771+t21581+t21492+t21216+t21133+t22264+t22859+ +t22904; + coeff_dxy_p3_p3_p1 = t20777+t20913+(t22754+t21802)*t22767+t22270+t22905+ +t22963; + coeff_dxy_m2_m2_p2 = t22793+t21512+t21387+t21013+t20695+t21418+t20467+x* +t21391+t22188+t22952+t22955+t23043; + coeff_dxy_m1_m2_p2 = t21509+t21636+t20705+t21480+t21465+t20931+t22194+ +t22361+t22781+t22798; + coeff_dxy_0_m2_p2 = t21692+t22253+t21057+t20868+t22581+t22824+t22887; + coeff_dxy_p1_m2_p2 = t22795+t21504+t21684+t21541+t21532+t21195+t21433+ +t20916+t22209+t22817+t22910; + coeff_dxy_p2_m2_p2 = t21014+t21320+t21679+(t22174*t22178+t22094)*t22760+ +t22203+t20437+t21659+t22311+t22816+t22974+t23016; + coeff_dxy_p3_m2_p2 = t21264+t22217+t21666+t20590+t22282+t22845+t22885; + coeff_dxy_m2_m1_p2 = t20819+t21599+t21582+t21592+t21649+t22193+t20632+ +t22331+t22781+t22801; + coeff_dxy_m1_m1_p2 = (RATIONAL(175.0,48.0)*t22180+t21965*z)*t22767+t21308 ++t21474+t21306+t22205+t20670+t20604+t22373+t22806+t23004+t23041; + coeff_dxy_0_m1_p2 = t21728+t21171+t22251+t20622+t22691+t22835+t22867; + coeff_dxy_p1_m1_p2 = t21167+t21707+t21359+t21490+t22210+t20617+t22306+ +t22784+t22790; + coeff_dxy_p2_m1_p2 = t22192+(t22145*t22178+t22153)*t22760+t21203+t21458+ +t21453+t21468+t20689+t21334+t22309+t22837+t22909+t22930; + coeff_dxy_p3_m1_p2 = t21020+t21411+t22255+t21448+t22587+t22630+t22883+ +t23002; + coeff_dxy_m2_0_p2 = t20963+t21141+t22243+t21687+t22457+t22824+t22864; + coeff_dxy_m1_0_p2 = t20651+t21145+t22251+t21680+t22690+t22840+t22878; + coeff_dxy_0_0_p2 = t20935+t20828+t20987+t20745+(t21900*z+RATIONAL(343.0, +27.0)*t22180)*t22767+t22919+t22922+t23053; + coeff_dxy_p1_0_p2 = t20822+t22263+t21417+t20962+t22860+t22901+t23031; + coeff_dxy_p2_0_p2 = t22235+t21741+t22144*t22443+t21313+t21181+t20664+ +t20452+t22296+t22870; + coeff_dxy_p3_0_p2 = t20781+t21019+t22240+t22964+t23022; + coeff_dxy_m2_p1_p2 = t21179+t21741+t21571+t21607+t20953+t21448+t22788+ +t22209+t22789+t23013; + coeff_dxy_m1_p1_p2 = t22778+t21293+t21468+t22186+t21160+t20643+t22784+ +t22916+t23031; + coeff_dxy_0_p1_p2 = t20984+t21707+t22263+t21333+t20991+t22574+t22833+ +t23024; + coeff_dxy_p1_p1_p2 = t21728+(RATIONAL(175.0,27.0)*t22180+t21949*z)*t22767 ++t22196+t21325+t20988+t21702+t20950+t21680+t22812+t22906+t23041+t23053; + coeff_dxy_p2_p1_p2 = t22185+t21152+(t22146*t22178+t22158)*t22760+t21495+ +t21198+t22770+t21687+t20638+t20418+t23004+t23025; + coeff_dxy_p3_p1_p2 = t22228+t20966+t21599+t20961+t22602+t22850+t22890; + coeff_dxy_m2_p2_p2 = t21302+t21458+t22816+t21127+t22371+(t22174*t22179+ +t22094)*t22738+t21666+t22339+t22872+t22942+t22953+t22957+t22958; + coeff_dxy_m1_p2_p2 = t20921+t21146+t21679+t21570+t22354+t21490+(t22145* +t22179+t22153)*t22738+t22318+t22319+t22805+t22837+t22907+t22986; + coeff_dxy_0_p2_p2 = t21684+t22144*t22452+t20440+t20678+t21406+t22299+ +t22643+t22841+t22870+t23044; + coeff_dxy_p1_p2_p2 = t22185+t21182+(t22146*t22179+t22158)*t22738+t21518+ +t21692+t21474+t21132+t21604+t20667+t22776+t22983+t23039; + coeff_dxy_p2_p2_p2 = t22381+t21592+t21480+t20929+(t22157*t22179+t22113)* +t22738+((t22157*t22178+t22113)*t22181+(t22040*t22180+t22043*z+t22151*t22181)*y) +*x+t20397+t20604+t20532+t20548+t22955+t22976+t23006+t23011+t23051; + coeff_dxy_p3_p2_p2 = t21389+t20936+t21365+t22176*t22452+t20428+t20673+ +t21336+t22831+t22862+t22999+t23043; + coeff_dxy_m2_p3_p2 = t20576+t22229+t21659+t22522+t22618+t22845+t22856; + coeff_dxy_m1_p3_p2 = t21032+t21433+t22213+t22511+t22604+t22842+t22883; + coeff_dxy_0_p3_p2 = t20917+t21034+t22240+t22912+t23008; + coeff_dxy_p1_p3_p2 = t20915+t22228+t21465+t21022+t22559+t22859+t22891; + coeff_dxy_p2_p3_p2 = t21248+t21512+t20408+t22176*t22443+t21028+t20626+ +t22226+t22672+t22831; + coeff_dxy_p3_p3_p2 = t20881+t20565+t20633+t21013+(t22762+t22660)*t22767+ +t22650+t22969+t23003; + coeff_dxy_m2_m2_p3 = t21368+t21351+t22246+t21340+y*t21402+t20469+t22665+ +t22668+t22873; + coeff_dxy_m1_m2_p3 = t21319+t21639+t22236+t22569+t22591+t22844+t22853; + coeff_dxy_0_m2_p3 = t22271+t22633+t22654+t22935+t22993; + coeff_dxy_p1_m2_p3 = t21644+t21437+t21274+t22233+t22382+t22846+t22882; + coeff_dxy_p2_m2_p3 = t21240+t21297+t21265+t22217+t22367+t22843+t22848; + coeff_dxy_p3_m2_p3 = t21428+t20586+t21255+(t21936+t22521)*t22760+t22358+ +t22918+t22997; + coeff_dxy_m2_m1_p3 = t21462+t21537+t21235+t22236+t22825+t22851+t23054; + coeff_dxy_m1_m1_p3 = t21806+t20545+t21497+t21447+t21965*t22710+t21441+ +t20447+t22320+t22378+t22880+t22991; + coeff_dxy_0_m1_p3 = t21685+t21484+t22247+t22921+t22961; + coeff_dxy_p1_m1_p3 = t21432+t21541+t21553+t22245+t21701+t22874+t22902+ +t23023; + coeff_dxy_p2_m1_p3 = t21658+t21627+t22255+t21250+t22312+t22875+t22879; + coeff_dxy_p3_m1_p3 = t21645+t21360+(t22460+t21968)*t22760+t22272+t22928+ +t22978; + coeff_dxy_m2_0_p3 = t21322+t22271+t22571+t22847+t22984; + coeff_dxy_m1_0_p3 = t21585+t21737+t22223+t22921+t22947; + coeff_dxy_0_0_p3 = t21157+t21050+t20480+y*t21333+t22915+t22979; + coeff_dxy_p1_0_p3 = t21712+t21615+t22250+t22956+t23033; + coeff_dxy_p2_0_p3 = t21608+t22267+t22588+t22896+t23022; + coeff_dxy_p3_0_p3 = x*t21579+t20625+t22578+t23038+t23058; + coeff_dxy_m2_p1_p3 = t21608+t21567+t22224+t21645+t22818+t22882+t22939; + coeff_dxy_m1_p1_p3 = t21658+t21712+t22225+t21667+t22363+t22839+t22874; + coeff_dxy_0_p1_p3 = t21526+t21701+t22257+t22929+t23033; + coeff_dxy_p1_p1_p3 = t21685+t22219+t21737+t21496+t21157+t21949*t22710+ +t21806+t22314+t22834; + coeff_dxy_p2_p1_p3 = t21441+t21291+t21653+t21673+t22252+t22571+t22850+ +t22904; + coeff_dxy_p3_p1_p3 = t21402+t21462+t20525+(t22613+t21902)*t22760+t22298+ +t22905+t22962; + coeff_dxy_m2_p2_p3 = t21321+t21270+t21255+t22259+t21250+t22843+t22856+ +t22971; + coeff_dxy_m1_p2_p3 = t21423+t21432+t21297+t22214+t22304+t22842+t22875; + coeff_dxy_0_p2_p3 = t21420+t21644+t22267+t22823+t22912; + coeff_dxy_p1_p2_p3 = t21380+t21494+t21575+t21569+t21447+t22252+t22832+ +t22891; + coeff_dxy_p2_p2_p3 = t21221+t20447+t21369+t21235+t22043*t22710+t22226+ +t22591+t22665+t22862; + coeff_dxy_p3_p2_p3 = t20806+t21352+(t21966+t22573)*t22760+t22268+t22668+ +t22969; + coeff_dxy_m2_p3_p3 = t21265+t20582+(t21936+t22463)*t22738+t22269+t22462+ +t22918; + coeff_dxy_m1_p3_p3 = t20897+t21437+(t21968+t22622)*t22738+t22619+t22978+ +t22989+t22994; + coeff_dxy_0_p3_p3 = y*t21621+t21036+t22266+t23038; + coeff_dxy_p1_p3_p3 = t20740+t21385+(t22606+t21902)*t22738+t22270+t22569+ +t22962; + coeff_dxy_p2_p3_p3 = t21403+t21351+(t21966+t22454)*t22738+t22268+t23003+ +t23017; + coeff_dxy_p3_p3_p3 = y*t21272+t20640+t20469+(t21266+(t22646+t22638)*y)*x+ +t22674; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-dxz.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-dxz.compute.c new file mode 100644 index 0000000..f00a0a5 --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-dxz.compute.c @@ -0,0 +1,4252 @@ +fp t25459, + t24851, + t24850, + t25445, + t25742, + t25410, + t25391, + t25457, + t25456, + t25741, + t24604, + t24853, + t25271, + t24097, + t24645, + t25241, + t25739, + t24732, + t24852, + t25415, + t24186, + t24594, + t25436, + t25738, + t25324, + t24681, + t24238, + t25737, + t24658, + t25250, + t24049, + t25087, + t24541, + t25736, + t25244, + t25035, + t24849, + t25028, + t23349, + t25735, + t24730, + t25147, + t24133, + t23660, + t25090, + t24731, + t25734, + t24830, + t24509, + t25107, + t24749, + t25239, + t24284, + t25733, + t24826, + t24501, + t24373, + t24715, + t25132, + t25016, + t23648, + t25732, + t24825, + t23360, + t25731, + t24695, + t24219, + t24698, + t25188, + t24221, + t25730, + t24704, + t24548, + t25127, + t25267, + t25120, + t25729, + t24833, + t25259, + t24973, + t23766, + t24803, + t25728, + t24622, + t24072, + t24764, + t23412, + t25727, + t24626, + t25346, + t25085, + t23311, + t24743, + t25726, + t24821, + t25280, + t24993, + t23763, + t25725, + t25125, + t24705, + t23440, + t25724, + t25723, + t24686, + t23544, + t24742, + t25722, + t24663, + t25335, + t23889, + t24616, + t25454, + t25099, + t25721, + t25228, + t24291, + t23521, + t25720, + t24806, + t25218, + t24828, + t24420, + t25719, + t24822, + t23833, + t25718, + t24726, + t23453, + t25717, + t24774, + t24465, + t24721, + t25716, + t24699, + t24469, + t24534, + t25215, + t25715, + t25431, + t25400, + t25029, + t24595, + t23296, + t25714, + t24710, + t24980, + t23596, + t25713, + t24713, + t24319, + t23508, + t25089, + t25712, + t24636, + t25711, + t25344, + t24318, + t23390, + t25710, + t25258, + t24254, + t24515, + t24428, + t25709, + t24618, + t25197, + t24523, + t24426, + t25708, + t24688, + t24488, + t24771, + t24472, + t25707, + t24960, + t25706, + t25353, + t24129, + t24712, + t24277, + t23507, + t25705, + t24559, + t25202, + t24020, + t24809, + t25704, + t24811, + t23841, + t24835, + t25025, + t25703, + t24814, + t24502, + t24805, + t25159, + t24416, + t25702, + t24676, + t23358, + t24776, + t25701, + t24476, + t25101, + t24639, + t23926, + t25700, + t23899, + t25699, + t24538, + t23878, + t24560, + t25368, + t25698, + t24514, + t23858, + t25697, + t24442, + t24597, + t25696, + t24673, + t25417, + t25094, + t23300, + t25695, + t24804, + t25406, + t24417, + t24755, + t25245, + t24959, + t23644, + t25694, + t24757, + t25237, + t24252, + t25693, + t25145, + t24185, + t23640, + t24701, + t25692, + t24842, + t23820, + t24649, + t25199, + t25691, + t24722, + t24239, + t25009, + t23318, + t25690, + t24782, + t25133, + t24324, + t25689, + t24561, + t24671, + t25688, + t24630, + t23341, + t25388, + t25687, + t24790, + t24131, + t24737, + t25156, + t25686, + t25260, + t24206, + t25685, + t25684, + t24575, + t25683, + t24590, + t24675, + t25682, + t25165, + t23990, + t25681, + t25680, + t24198, + t24711, + t24229, + t25679, + t25678, + t25677, + t24188, + t25676, + t24666, + t23884, + t25398, + t25675, + t24491, + t25674, + t25173, + t24172, + t23409, + t25673, + t25672, + t24490, + t24708, + t25671, + t24600, + t25164, + t23972, + t25078, + t25670, + t24778, + t25422, + t25142, + t24306, + t25669, + t24564, + t25668, + t24735, + t25311, + t24845, + t25167, + t24386, + t25667, + t24843, + t24591, + t25136, + t24091, + t23266, + t25666, + t24424, + t25665, + t24706, + t24314, + t24796, + t25664, + t23816, + t25663, + t25433, + t23919, + t25427, + t25662, + t25128, + t24304, + t24567, + t25143, + t25661, + t24640, + t24433, + t25660, + t24832, + t25659, + t24729, + t25411, + t25069, + t25658, + t24592, + t25122, + t24748, + t24464, + t25657, + t24696, + t24474, + t24581, + t25274, + t25656, + t24499, + t25655, + t24718, + t25140, + t25111, + t24777, + t23692, + t25654, + t24795, + t25307, + t24139, + t23645, + t25653, + t25652, + t24839, + t24990, + t25651, + t24095, + t24577, + t25261, + t25650, + t25649, + t24769, + t25131, + t24302, + t25648, + t24847, + t25212, + t25067, + t25647, + t24682, + t24792, + t23484, + t25646, + t23559, + t25645, + t24827, + t25644, + t25392, + t24768, + t23560, + t25643, + t25347, + t24183, + t24593, + t25642, + t24783, + t25124, + t25641, + t24760, + t25186, + t24169, + t24765, + t25428, + t25098, + t25640, + t24620, + t23942, + t25154, + t25639, + t24419, + t25638, + t25213, + t24111, + t25423, + t25118, + t23386, + t25637, + t25219, + t24115, + t23429, + t25636, + t23139, + t24478, + t25115, + t25635, + t23571, + t24068, + t25634, + t24733, + t25066, + t25633, + t24653, + t25632, + t25171, + t23951, + t24668, + t25409, + t25095, + t25631, + t24492, + t25093, + t23233, + t25630, + t24785, + t23705, + t25629, + t23890, + t25628, + t23953, + t23246, + t25627, + t25285, + t24378, + t24128, + t25626, + t25086, + t23525, + t25222, + t24333, + t25625, + t24026, + t25077, + t25624, + t24586, + t24810, + t24505, + t25623, + t25450, + t25622, + t25421, + t25084, + t25621, + t24747, + t23481, + t25620, + t24759, + t25619, + t25161, + t25618, + t24689, + t25005, + t25617, + t25452, + t24380, + t25205, + t24399, + t25616, + t25177, + t24253, + t25615, + t24662, + t23336, + t25614, + t25313, + t24224, + t24566, + t25082, + t25613, + t24781, + t25442, + t24363, + t25612, + t23308, + t25611, + t24635, + t24454, + t24558, + t25610, + t24751, + t24210, + t25609, + t24429, + t24834, + t25134, + t25608, + t25163, + t25607, + t23958, + t25606, + t25289, + t23971, + t25453, + t25605, + t23223, + t25268, + t25079, + t25604, + t23424, + t25603, + t24506, + t24475, + t25602, + t24780, + t24471, + t25601, + t24574, + t24437, + t24646, + t24435, + t25600, + t25333, + t24222, + t24709, + t25451, + t25599, + t23070, + t25598, + t24808, + t25404, + t24413, + t25597, + t24543, + t25030, + t23127, + t25104, + t25596, + t24684, + t25595, + t24083, + t24336, + t23512, + t25594, + t23970, + t25226, + t25593, + t23978, + t25592, + t23397, + t25591, + t25590, + t25455, + t23929, + t25370, + t24788, + t25155, + t24227, + t25589, + t24144, + t24438, + t25588, + t23775, + t25458, + t25397, + t24605, + t25587, + t25247, + t24734, + t24517, + t25586, + t23679, + t24634, + t25340, + t24744, + t25585, + t24453, + t25584, + t24565, + t25309, + t24540, + t24791, + t25583, + t25234, + t23776, + t25582, + t24436, + t24033, + t24456, + t25581, + t24582, + t25365, + t24623, + t23975, + t25580, + t23832, + t25322, + t25579, + t25223, + t24260, + t23783, + t25578, + t25332, + t23995, + t25249, + t25430, + t25076, + t25577, + t24800, + t25129, + t23797, + t25576, + t24570, + t23717, + t24657, + t25305, + t23888, + t25575, + t24807, + t24677, + t25075, + t23326, + t25574, + t25363, + t25573, + t24163, + t24242, + t24032, + t25217, + t25572, + t25571, + t25570, + t24844, + t23817, + t24510, + t25348, + t25569, + t24660, + t24647, + t25291, + t25568, + t24638, + t25405, + t25080, + t25567, + t25357, + t24392, + t25425, + t25119, + t25566, + t24700, + t23379, + t25565, + t23730, + t24632, + t25137, + t25564, + t24697, + t24489, + t25106, + t23282, + t25563, + t24486, + t24362, + t25562, + t24692, + t23562, + t24707, + t25144, + t24739, + t25561, + t23588, + t25560, + t25559, + t24571, + t25210, + t23471, + t24659, + t25091, + t25558, + t24793, + t25192, + t24126, + t24356, + t23801, + t25557, + t25556, + t24633, + t25361, + t25555, + t23933, + t25554, + t25367, + t24741, + t23663, + t24643, + t25553, + t24714, + t23703, + t24723, + t25130, + t24521, + t25552, + t25153, + t23943, + t24746, + t25225, + t25551, + t25550, + t23554, + t25549, + t24812, + t25301, + t24376, + t25424, + t24298, + t25548, + t23720, + t25547, + t23609, + t25546, + t24655, + t25447, + t25105, + t25545, + t24588, + t24573, + t25281, + t25544, + t24694, + t25402, + t25070, + t23495, + t25100, + t25543, + t25542, + t25541, + t25540, + t24840, + t24513, + t25408, + t24278, + t25414, + t24401, + t25539, + t23284, + t25092, + t25538, + t25341, + t24789, + t24717, + t23431, + t25537, + t24625, + t25201, + t24023, + t25065, + t23785, + t25203, + t25536, + t23505, + t25535, + t25534, + t23564, + t25533, + t24460, + t24957, + t23170, + t25532, + t25531, + t25068, + t23365, + t25530, + t24432, + t23923, + t24487, + t25529, + t24297, + t25279, + t24410, + t25256, + t25528, + t23537, + t25527, + t23826, + t25526, + t24398, + t24220, + t25135, + t25525, + t25109, + t25524, + t25523, + t25083, + t25522, + t25403, + t25081, + t23630, + t25521, + t23480, + t25520, + t25519, + t24766, + t25266, + t23344, + t24603, + t25443, + t25518, + t24650, + t25339, + t25517, + t23948, + t25336, + t25516, + t25515, + t25102, + t23331, + t25434, + t25514, + t24702, + t25331, + t25437, + t24326, + t25513, + t25072, + t24585, + t25170, + t25512, + t24117, + t24642, + t24961, + t25116, + t23408, + t25511, + t24483, + t25117, + t25510, + t25103, + t23168, + t25509, + t25508, + t24462, + t24761, + t25385, + t25507, + t23369, + t25506, + t24670, + t25505, + t25504, + t25396, + t24463, + t25503, + t24779, + t25176, + t24257, + t25502, + t25369, + t24109, + t24627, + t25426, + t24344, + t25501, + t25206, + t24648, + t24248, + t24525, + t25500, + t25499, + t25498, + t24554, + t24797, + t23587, + t25497, + t24767, + t25419, + t24201, + t25232, + t24528, + t24813, + t25496, + t24738, + t24563, + t25401, + t25354, + t25495, + t25189, + t24375, + t25494, + t25193, + t25493, + t24720, + t24055, + t25351, + t25492, + t24290, + t25491, + t24120, + t24977, + t23245, + t25490, + t25489, + t25318, + t23794, + t25488, + t24043, + t25487, + t23289, + t25486, + t25349, + t25413, + t24110, + t25485, + t24148, + t25229, + t25484, + t24772, + t23528, + t25483, + t25198, + t25482, + t23793, + t25191, + t24264, + t25481, + t24752, + t25480, + t25381, + t25479, + t25380, + t24750, + t25478, + t25412, + t25477, + t24484, + t25476, + t24719, + t25096, + t25248, + t25475, + t23814, + t25474, + t25373, + t24703, + t25473, + t25265, + t24108, + t24282, + t24274, + t25472, + t23757, + t25386, + t25471, + t25470, + t25469, + t24784, + t25468, + t25395, + t23347, + t25467, + t24450, + t25466, + t24683, + t25465, + t25174, + t25464, + t24664, + t25407, + t25097, + t24267, + t24628, + t25209, + t25463, + t24105, + t24725, + t25152, + t24127, + t24164, + t25462, + t25461, + t24544, + t25200, + t24354, + t25460, + t25449, + t24596, + t25448, + t25446, + t24608, + t25444, + t24584, + t25441, + t25440, + t25439, + t25438, + t25435, + t25432, + t24799, + t25429, + t25420, + t25418, + t25416, + t24569, + t25399, + t25394, + t24624, + t25393, + t24165, + t25390, + t25387, + t25383, + t25382, + t24370, + t24361, + t24268, + t24230, + t25379, + t24580, + t25253, + t25378, + t25377, + t25001, + t23312, + t25376, + t25375, + t25374, + t24461, + t25372, + t25371, + t25366, + t25190, + t24010, + t25364, + t25362, + t24836, + t24508, + t24482, + t24288, + t25360, + t23136, + t25358, + t25356, + t23969, + t25151, + t25355, + t24507, + t25352, + t25350, + t25345, + t25320, + t24113, + t24125, + t23501, + t25343, + t24992, + t23691, + t23494, + t25342, + t25338, + t25337, + t25334, + t25330, + t23941, + t25329, + t25328, + t25327, + t25326, + t25325, + t25323, + t25321, + t25319, + t24301, + t24130, + t23576, + t25317, + t25316, + t23624, + t25315, + t25314, + t24353, + t25312, + t24100, + t24327, + t25310, + t25306, + t24578, + t25304, + t25303, + t25302, + t23264, + t25300, + t24672, + t25299, + t25298, + t24687, + t25297, + t24504, + t25296, + t25295, + t24104, + t25294, + t25293, + t25292, + t24226, + t23670, + t25290, + t25288, + t25287, + t23697, + t25286, + t24237, + t24161, + t25284, + t25283, + t25282, + t25278, + t25277, + t24395, + t24359, + t25276, + t25275, + t24235, + t23911, + t25273, + t25272, + t24449, + t25270, + t24443, + t24612, + t25269, + t24107, + t25264, + t25263, + t25262, + t24458, + t23665, + t25254, + t24300, + t23593, + t25257, + t25255, + t24473, + t24470, + t25252, + t25251, + t24614, + t23519, + t25246, + t25243, + t25242, + t25240, + t24500, + t23896, + t25238, + t24503, + t25236, + t25235, + t25233, + t24427, + t25231, + t24330, + t25230, + t25227, + t23463, + t25224, + t25221, + t23487, + t24651, + t25220, + t24572, + t25216, + t23541, + t25214, + t24820, + t25211, + t25208, + t24762, + t25207, + t25204, + t24493, + t24495, + t24498, + t24802, + t24497, + t25196, + t25195, + t25194, + t25187, + t24170, + t25185, + t25184, + t25183, + t25182, + t25181, + t25180, + t25179, + t24212, + t25178, + t25175, + t25172, + t23685, + t25169, + t25168, + t25166, + t25162, + t24467, + t24798, + t25160, + t25158, + t25157, + t25150, + t25149, + t25148, + t25146, + t25141, + t24496, + t24494, + t25139, + t25138, + t24218, + t24150, + t25126, + t24132, + t24086, + t25123, + t24017, + t23954, + t23932, + t23898, + t25121, + t24106, + t23949, + t25114, + t25113, + t25112, + t25110, + t25108, + t24411, + t25088, + t24388, + t25074, + t24587, + t25073, + t24347, + t25071, + t24258, + t24345, + t25063, + t23589, + t23174, + t25062, + t23846, + t25061, + t24391, + t25060, + t25059, + t25058, + t25057, + t25056, + t24273, + t25055, + t25054, + t25053, + t24369, + t25052, + t25051, + t23962, + t25050, + t24685, + t25049, + t25048, + t25047, + t25046, + t25045, + t24270, + t25044, + t25043, + t25042, + t23694, + t25014, + t23085, + t25041, + t23682, + t25040, + t23130, + t25039, + t24061, + t25038, + t24485, + t25037, + t25036, + t24146, + t24479, + t25034, + t25033, + t24451, + t25032, + t25031, + t25027, + t25026, + t25024, + t25023, + t25022, + t25021, + t25020, + t23568, + t25019, + t23806, + t25018, + t23818, + t25017, + t25015, + t25013, + t25012, + t25011, + t25010, + t23160, + t25008, + t25007, + t24394, + t25006, + t24175, + t25004, + t24552, + t23867, + t25003, + t23134, + t25002, + t25000, + t24999, + t23916, + t24998, + t24997, + t23513, + t24996, + t24995, + t24994, + t24334, + t24991, + t24989, + t24988, + t24724, + t24987, + t24986, + t24985, + t24276, + t24984, + t24431, + t24983, + t24247, + t24982, + t24981, + t24979, + t24978, + t23869, + t23069, + t24976, + t24205, + t24179, + t24261, + t24975, + t24974, + t23166, + t24972, + t24971, + t24970, + t24969, + t24968, + t23302, + t24967, + t24966, + t23921, + t24965, + t24964, + t24963, + t24962, + t24405, + t24387, + t24823, + t24958, + t24956, + t24955, + t24225, + t24954, + t24953, + t24629, + t24952, + t24951, + t24950, + t24556, + t24949, + t24948, + t24947, + t24946, + t24945, + t23327, + t24944, + t23175, + t23690, + t24943, + t23260, + t24942, + t23157, + t24941, + t23672, + t24940, + t23192, + t24939, + t23406, + t24938, + t23352, + t24589, + t24937, + t23524, + t24533, + t24936, + t24935, + t24934, + t24933, + t23465, + t24932, + t24931, + t23725, + t24930, + t24929, + t24562, + t23271, + t24928, + t24927, + t23574, + t24926, + t23351, + t24925, + t24924, + t24923, + t24922, + t24921, + t24920, + t24919, + t24579, + t23183, + t24918, + t24917, + t24916, + t24915, + t24914, + t24913, + t24912, + t24911, + t23217, + t24910, + t24909, + t24908, + t24907, + t24906, + t24652, + t23172, + t24905, + t24904, + t24903, + t23378, + t24902, + t23159, + t24901, + t24900, + t23392, + t24899, + t24898, + t24753, + t23263, + t24897, + t24896, + t24895, + t24894, + t24893, + t23112, + t24892, + t24891, + t23091, + t24890, + t23504, + t24889, + t24888, + t24887, + t24886, + t24885, + t24884, + t24617, + t24883, + t24882, + t24881, + t24880, + t23591, + t24879, + t23676, + t24878, + t23335, + t24877, + t23370, + t24876, + t24875, + t24874, + t24873, + t24872, + t23120, + t24871, + t24870, + t24869, + t23581, + t24868, + t24867, + t24527, + t24866, + t23249, + t24865, + t24864, + t24863, + t24862, + t24861, + t24860, + t24859, + t24787, + t24679, + t24858, + t23779, + t24857, + t24856, + t24855, + t24848, + t24846, + t24841, + t24838, + t24837, + t24831, + t24829, + t24824, + t24819, + t24818, + t24817, + t24816, + t24815, + t24801, + t24786, + t24773, + t24763, + t24756, + t24754, + t24745, + t24740, + t24736, + t24693, + t24691, + t24678, + t24674, + t24665, + t24661, + t24641, + t24637, + t24631, + t24621, + t24613, + t24611, + t24610, + t24602, + t24599, + t24598, + t24568, + t24557, + t24555, + t24547, + t24546, + t24545, + t24536, + t24531, + t24529, + t24524, + t24516, + t24512, + t24446, + t24415, + t24414, + t24408, + t24406, + t24404, + t24403, + t24393, + t24382, + t24379, + t24372, + t24367, + t24358, + t24352, + t24351, + t24346, + t24338, + t24328, + t24325, + t24316, + t24315, + t24308, + t24293, + t24289, + t24287, + t24285, + t24283, + t24281, + t24279, + t24269, + t24266, + t24265, + t24251, + t24244, + t24241, + t24234, + t24233, + t24232, + t24231, + t24223, + t24215, + t24214, + t24213, + t24211, + t24209, + t24208, + t24193, + t24190, + t24189, + t24187, + t24182, + t24178, + t24173, + t24162, + t24160, + t24159, + t24157, + t24156, + t24155, + t24142, + t24140, + t24138, + t24137, + t24136, + t24123, + t24119, + t24118, + t24116, + t24103, + t24102, + t24099, + t24098, + t24096, + t24090, + t24089, + t24088, + t24087, + t24084, + t24082, + t24076, + t24071, + t24064, + t24062, + t24059, + t24058, + t24050, + t24040, + t24039, + t24030, + t24028, + t24027, + t24024, + t24021, + t24019, + t24016, + t24015, + t24014, + t24012, + t24011, + t24009, + t24004, + t23993, + t23992, + t23987, + t23982, + t23981, + t23980, + t23979, + t23977, + t23974, + t23967, + t23963, + t23959, + t23957, + t23950, + t23946, + t23945, + t23938, + t23937, + t23936, + t23935, + t23928, + t23924, + t23922, + t23920, + t23917, + t23913, + t23912, + t23910, + t23907, + t23906, + t23902, + t23900, + t23895, + t23894, + t23893, + t23885, + t23883, + t23882, + t23881, + t23875, + t23874, + t23873, + t23872, + t23871, + t23870, + t23868, + t23866, + t23865, + t23863, + t23859, + t23856, + t23855, + t23852, + t23851, + t23849, + t23848, + t23847, + t23840, + t23837, + t23834, + t23828, + t23815, + t23813, + t23810, + t23809, + t23807, + t23803, + t23795, + t23792, + t23782, + t23781, + t23770, + t23769, + t23761, + t23755, + t23752, + t23751, + t23747, + t23746, + t23745, + t23744, + t23738, + t23737, + t23736, + t23732, + t23726, + t23724, + t23723, + t23722, + t23719, + t23718, + t23715, + t23714, + t23713, + t23712, + t23707, + t23704, + t23702, + t23701, + t23696, + t23689, + t23684, + t23658, + t23657, + t23655, + t23653, + t23649, + t23642, + t23635, + t23634, + t23628, + t23626, + t23620, + t23618, + t23617, + t23614, + t23610, + t23604, + t23598, + t23597, + t23592, + t23583, + t23578, + t23577, + t23575, + t23570, + t23566, + t23553, + t23548, + t23547, + t23545, + t23542, + t23532, + t23527, + t23523, + t23518, + t23514, + t23510, + t23509, + t23502, + t23496, + t23492, + t23489, + t23488, + t23483, + t23482, + t23476, + t23474, + t23466, + t23459, + t23452, + t23447, + t23435, + t23425, + t23418, + t23416, + t23415, + t23413, + t23411, + t23404, + t23402, + t23401, + t23398, + t23388, + t23385, + t23372, + t23363, + t23362, + t23343, + t23338, + t23332, + t23319, + t23315, + t23309, + t23305, + t23299, + t23298, + t23294, + t23291, + t23288, + t23283, + t23272, + t23262, + t23243, + t23239, + t23234, + t23220, + t23213, + t23208, + t23207, + t23203, + t23185, + t23179, + t23165, + t23158, + t23156, + t23152, + t23148, + t23145, + t23142, + t23140, + t23131, + t23129, + t23122, + t23117, + t23116, + t23109, + t23101, + t23097, + t23084, + t23080, + t23075; + t25459 = x*z; + t24851 = y*y; + t24850 = t24851*y; + t25445 = y+t24850; + t25742 = t25445*t25459; + t25410 = x*t24850; + t25391 = z*t25410; + t25457 = x*y; + t25456 = z*t25457; + t25741 = t25391+t25456; + t24604 = RATIONAL(-7.0,576.0); + t24853 = z*z; + t25271 = t24850*t24853; + t24097 = t24604*t25271; + t24645 = RATIONAL(5.0,288.0); + t25241 = t24850*t24645; + t25739 = t24097+z*t25241; + t24732 = RATIONAL(-16.0,9.0); + t24852 = x*x; + t25415 = y*t24852; + t24186 = t24732*t25415; + t24594 = RATIONAL(40.0,27.0); + t25436 = y*t24594; + t25738 = t24186+x*t25436; + t25324 = t24853*t24851; + t24681 = RATIONAL(1.0,96.0); + t24238 = t24681*t25324; + t25737 = t24238+t24097; + t24658 = RATIONAL(49.0,72.0); + t25250 = t24658*t24850; + t24049 = t24853*t25250; + t25087 = x*t25271; + t24541 = RATIONAL(245.0,72.0); + t25736 = t24541*t25087+t24049; + t25244 = t24852*t24851; + t25035 = t24853*t25244; + t24849 = t24852*t24853; + t25028 = RATIONAL(7.0,192.0)*t24849; + t23349 = y*t25028; + t25735 = RATIONAL(7.0,32.0)*t25035+t23349; + t24730 = RATIONAL(-14.0,9.0); + t25147 = t24730*t24853; + t24133 = t24850*t25147; + t23660 = x*t24133; + t25090 = z*t25244; + t24731 = RATIONAL(28.0,9.0); + t25734 = t24731*t25090+t23660; + t24830 = RATIONAL(1.0,3.0); + t24509 = t24830*t24852; + t25107 = z*t24509; + t24749 = RATIONAL(1.0,36.0); + t25239 = t24852*t24749; + t24284 = t24850*t25239; + t25733 = t24850*t25107+t24284; + t24826 = RATIONAL(1.0,6.0); + t24501 = t24826*t24853; + t24373 = t24851*t24501; + t24715 = RATIONAL(-1.0,12.0); + t25132 = t24715*t24853; + t25016 = t24852*t25132; + t23648 = y*t25016; + t25732 = t24852*t24373+t23648; + t24825 = RATIONAL(-1.0,3.0); + t23360 = x*t24049; + t25731 = t24825*t25090+t23360; + t24695 = RATIONAL(-1.0,36.0); + t24219 = t24695*t25415; + t24698 = RATIONAL(1.0,18.0); + t25188 = t24698*t24851; + t24221 = t24852*t25188; + t25730 = t24219+t24221; + t24704 = RATIONAL(5.0,16.0); + t24548 = RATIONAL(-49.0,288.0); + t25127 = x*t25324; + t25267 = t24850*t24852; + t25120 = z*t25267; + t25729 = t24548*t25120+t24704*t25127; + t24833 = RATIONAL(4.0,3.0); + t25259 = t24833*t24852; + t24973 = t24853*t25259; + t23766 = y*t24973; + t24803 = RATIONAL(-8.0,3.0); + t25728 = t23766+t24803*t25035; + t24622 = RATIONAL(35.0,24.0); + t24072 = t24622*t25324; + t24764 = RATIONAL(-7.0,18.0); + t23412 = t24764*t25120; + t25727 = t23412+x*t24072; + t24626 = RATIONAL(7.0,288.0); + t25346 = t24626*t24853; + t25085 = x*t25346; + t23311 = t24850*t25085; + t24743 = RATIONAL(-5.0,96.0); + t25726 = t24743*t25090+t23311; + t24821 = RATIONAL(-4.0,3.0); + t25280 = t24853*t24821; + t24993 = t24852*t25280; + t23763 = y*t24993; + t25725 = t23763+RATIONAL(-8.0,1.0)*t25035; + t25125 = y*t24849; + t24705 = RATIONAL(7.0,24.0); + t23440 = t24705*t25125; + t25724 = t23440+RATIONAL(-35.0,64.0)*t25035; + t25723 = t24548*t25087+t24704*t25090; + t24686 = RATIONAL(-1.0,18.0); + t23544 = t24686*t25087; + t24742 = RATIONAL(5.0,36.0); + t25722 = t24742*t25090+t23544; + t24663 = RATIONAL(1.0,144.0); + t25335 = t24663*t24851; + t23889 = x*t25335; + t24616 = RATIONAL(-1.0,288.0); + t25454 = z*t24852; + t25099 = t24616*t25454; + t25721 = t24850*t25099+t24853*t23889; + t25228 = t24730*t24852; + t24291 = t24850*t25228; + t23521 = z*t24291; + t25720 = t24731*t25127+t23521; + t24806 = RATIONAL(5.0,9.0); + t25218 = t24852*t24806; + t24828 = RATIONAL(-4.0,9.0); + t24420 = t24828*t25267; + t25719 = t24851*t25218+t24420; + t24822 = RATIONAL(2.0,3.0); + t23833 = t24822*t25125; + t25718 = t23833+RATIONAL(-5.0,4.0)*t25035; + t24726 = RATIONAL(14.0,3.0); + t23453 = t24726*t25125; + t25717 = RATIONAL(-35.0,4.0)*t25035+t23453; + t24774 = RATIONAL(1.0,27.0); + t24465 = t24774*t24850; + t24721 = RATIONAL(-2.0,27.0); + t25716 = t24465+t24721*t24851; + t24699 = RATIONAL(-7.0,48.0); + t24469 = t24699*t24852; + t24534 = RATIONAL(49.0,144.0); + t25215 = t24534*t24851; + t25715 = t24469+t24852*t25215; + t25431 = x*t24851; + t25400 = z*t25431; + t25029 = t24853*t25267; + t24595 = RATIONAL(49.0,12.0); + t23296 = t24595*t25029; + t25714 = RATIONAL(-175.0,12.0)*t25400+t23296; + t24710 = RATIONAL(-7.0,12.0); + t24980 = t24710*t24849; + t23596 = y*t24980; + t25713 = y*t25107+t23596; + t24713 = RATIONAL(14.0,9.0); + t24319 = t24713*t25267; + t23508 = z*t24319; + t25089 = x*t25147; + t25712 = t23508+t24851*t25089; + t24636 = RATIONAL(49.0,48.0); + t25711 = RATIONAL(-7.0,16.0)*t24849+t24636*t25035; + t25344 = t24742*t24851; + t24318 = x*t25344; + t23390 = t24686*t25120; + t25710 = t23390+t24853*t24318; + t25258 = t24686*t24851; + t24254 = z*t25258; + t24515 = RATIONAL(-1.0,1728.0); + t24428 = t24515*y; + t25709 = t24428+x*t24254; + t24618 = RATIONAL(-1.0,432.0); + t25197 = t24618*t24850; + t24523 = RATIONAL(1.0,1728.0); + t24426 = t24523*t24850; + t25708 = t24426+z*t25197; + t24688 = RATIONAL(-5.0,54.0); + t24488 = t24688*t24851; + t24771 = RATIONAL(2.0,27.0); + t24472 = t24771*t24850; + t25707 = t24488+t24472; + t24960 = t24851*t24469; + t25706 = (t25335+t24960)*z; + t25353 = t24850*t24764; + t24129 = x*t25353; + t24712 = RATIONAL(7.0,12.0); + t24277 = t24712*t25324; + t23507 = t24852*t24277; + t25705 = z*t24129+t23507; + t24559 = RATIONAL(35.0,18.0); + t25202 = t24851*t24559; + t24020 = t24853*t25202; + t24809 = RATIONAL(-8.0,9.0); + t25704 = t24809*t25120+x*t24020; + t24811 = RATIONAL(-2.0,3.0); + t23841 = t24811*t25125; + t24835 = RATIONAL(-5.0,3.0); + t25025 = t24835*t25244; + t25703 = t23841+t24853*t25025; + t24814 = RATIONAL(-5.0,9.0); + t24502 = t24814*t24851; + t24805 = RATIONAL(4.0,9.0); + t25159 = t24850*t24805; + t24416 = t24853*t25159; + t25702 = t24853*t24502+t24416; + t24676 = RATIONAL(-7.0,288.0); + t23358 = t24676*t25087; + t24776 = RATIONAL(1.0,48.0); + t25701 = t23358+t24776*t25090; + t24476 = t24776*t24852; + t25101 = z*t24476; + t24639 = RATIONAL(1.0,576.0); + t23926 = t24639*t25415; + t25700 = t23926+y*t25101; + t23899 = t24852*t25250; + t25699 = t24129+t23899; + t24538 = RATIONAL(49.0,576.0); + t23878 = t24538*t25267; + t24560 = RATIONAL(-7.0,144.0); + t25368 = t24850*t24560; + t25698 = x*t25368+t23878; + t24514 = RATIONAL(-49.0,144.0); + t23858 = t24538*t25271; + t25697 = t24514*t25087+t23858; + t24442 = RATIONAL(-16.0,27.0)*t24850; + t24597 = RATIONAL(20.0,27.0); + t25696 = t24442+t24597*t24851; + t24673 = RATIONAL(-35.0,12.0); + t25417 = x*t24853; + t25094 = t24673*t25417; + t23300 = RATIONAL(49.0,24.0)*t25125; + t25695 = y*t25094+t23300; + t24804 = RATIONAL(-1.0,9.0); + t25406 = y*t24804; + t24417 = t24852*t25406; + t24755 = RATIONAL(1.0,12.0); + t25245 = t24852*t24755; + t24959 = t24853*t25245; + t23644 = y*t24959; + t25694 = z*t24417+t23644; + t24757 = RATIONAL(-7.0,72.0); + t25237 = t24852*t24757; + t24252 = y*t25237; + t25693 = t24252+t24698*t25457; + t25145 = t24853*t24713; + t24185 = t24850*t25145; + t23640 = x*t24185; + t24701 = RATIONAL(-20.0,9.0); + t25692 = t23640+t24701*t25090; + t24842 = RATIONAL(1.0,9.0); + t23820 = t24842*t25087; + t24649 = RATIONAL(-7.0,216.0); + t25199 = t24851*t24649; + t25691 = t23820+z*t25199; + t24722 = RATIONAL(7.0,96.0); + t24239 = t24722*t25244; + t25009 = RATIONAL(-7.0,192.0)*t24849; + t23318 = y*t25009; + t25690 = t24853*t24239+t23318; + t24782 = RATIONAL(7.0,72.0); + t25133 = t24850*t24782; + t24324 = t24853*t25133; + t25689 = t24804*t25090+x*t24324; + t24561 = RATIONAL(224.0,9.0); + t24671 = RATIONAL(-280.0,9.0); + t25688 = t24561*t25120+t24671*t25127; + t24630 = RATIONAL(35.0,12.0); + t23341 = RATIONAL(-49.0,24.0)*t25125; + t25388 = y*t25417; + t25687 = t24630*t25388+t23341; + t24790 = RATIONAL(32.0,9.0); + t24131 = t24790*t25267; + t24737 = RATIONAL(-40.0,9.0); + t25156 = t24851*t24737; + t25686 = t24852*t25156+t24131; + t25260 = t24850*t24749; + t24206 = t24853*t25260; + t25685 = t24206+t24804*t25087; + t25684 = RATIONAL(1.0,16.0)*t24849+t24853*t24960; + t24575 = RATIONAL(35.0,48.0); + t25683 = t23440+t24575*t25035; + t24590 = RATIONAL(-20.0,27.0); + t24675 = RATIONAL(10.0,27.0); + t25682 = t24590*t25391+t24675*t25456; + t25165 = t24852*t24560; + t23990 = t24851*t25165; + t25681 = t23990+t24476; + t25680 = t24671*t25090+t24561*t25087; + t24198 = t24850*t25237; + t24711 = RATIONAL(7.0,36.0); + t24229 = t24711*t25244; + t25679 = t24198+t24229; + t25678 = RATIONAL(-112.0,3.0)*t25035+RATIONAL(16.0,1.0)*t24849; + t25677 = RATIONAL(35.0,3.0)*t25035+t23453; + t24188 = t24790*t25271; + t25676 = t24853*t25156+t24188; + t24666 = RATIONAL(7.0,144.0); + t23884 = t24604*t25415; + t25398 = z*t25415; + t25675 = t23884+t24666*t25398; + t24491 = t24826*t24852; + t25674 = t24764*t25244+t24491; + t25173 = t24782*t24853; + t24172 = t24851*t25173; + t23409 = x*t24172; + t25673 = t23409+t23390; + t25672 = t24804*t25120+t24284; + t24490 = t24803*t24853; + t24708 = RATIONAL(56.0,9.0); + t25671 = t24708*t25324+t24490; + t24600 = RATIONAL(7.0,576.0); + t25164 = t24600*t24853; + t23972 = y*t25164; + t25078 = t24560*t25417; + t25670 = y*t25078+t23972; + t24778 = RATIONAL(-5.0,36.0); + t25422 = y*t24778; + t25142 = t24852*t24782; + t24306 = y*t25142; + t25669 = t24306+x*t25422; + t24564 = RATIONAL(-28.0,27.0); + t25668 = t24805+t24564*t24851; + t24735 = RATIONAL(-8.0,27.0); + t25311 = t24850*t24735; + t24845 = RATIONAL(2.0,9.0); + t25167 = t24852*t24845; + t24386 = t24850*t25167; + t25667 = x*t25311+t24386; + t24843 = RATIONAL(5.0,6.0); + t24591 = RATIONAL(-49.0,72.0); + t25136 = t24853*t24591; + t24091 = t24850*t25136; + t23266 = x*t24091; + t25666 = t24843*t25090+t23266; + t24424 = RATIONAL(-7.0,1728.0)*t24850; + t25665 = RATIONAL(5.0,576.0)*t24851+t24424; + t24706 = RATIONAL(-32.0,9.0); + t24314 = t24706*t25271; + t24796 = RATIONAL(40.0,3.0); + t25664 = t24314+t24796*t25087; + t23816 = t24842*t25120; + t25663 = x*t25199+t23816; + t25433 = y*t24853; + t23919 = t24639*t25433; + t25427 = t24618*y; + t25662 = t23919+z*t25427; + t25128 = t24850*t24695; + t24304 = t24853*t25128; + t24567 = RATIONAL(5.0,144.0); + t25143 = t24567*t24851; + t25661 = t24304+t24853*t25143; + t24640 = RATIONAL(-1.0,108.0); + t24433 = t24640*t24850; + t25660 = t24433+RATIONAL(5.0,432.0)*t24851; + t24832 = RATIONAL(-7.0,3.0); + t25659 = t24832*t25400+t23296; + t24729 = RATIONAL(10.0,9.0); + t25411 = x*t24729; + t25069 = t24853*t25411; + t25658 = t24851*t25069+t23521; + t24592 = RATIONAL(-25.0,18.0); + t25122 = t24592*t25431; + t24748 = RATIONAL(-1.0,27.0); + t24464 = t24748*y; + t25657 = z*t25122+t24464; + t24696 = RATIONAL(7.0,27.0); + t24474 = t24696*t24850; + t24581 = RATIONAL(35.0,27.0); + t25274 = t24850*t24581; + t25656 = t24474+x*t25274; + t24499 = t24803*t24852; + t25655 = t24708*t25244+t24499; + t24718 = RATIONAL(7.0,18.0); + t25140 = t24718*t24852; + t25111 = z*t25140; + t24777 = RATIONAL(-7.0,24.0); + t23692 = t24777*t25125; + t25654 = y*t25111+t23692; + t24795 = RATIONAL(-7.0,27.0); + t25307 = t24795*t24851; + t24139 = x*t25307; + t23645 = t24850*t24959; + t25653 = z*t24139+t23645; + t25652 = RATIONAL(49.0,16.0)*t24849+RATIONAL(-343.0,48.0)*t25035; + t24839 = RATIONAL(5.0,3.0); + t24990 = t24839*t25324; + t25651 = t23833+t24852*t24990; + t24095 = t24591*t25267; + t24577 = RATIONAL(35.0,36.0); + t25261 = t24850*t24577; + t25650 = x*t25261+t24095; + t25649 = t24072+t24091; + t24769 = RATIONAL(-7.0,36.0); + t25131 = t24850*t24769; + t24302 = t24852*t25131; + t25648 = t24302+t24832*t25120; + t24847 = RATIONAL(7.0,9.0); + t25212 = t24852*t24847; + t25067 = z*t25212; + t25647 = t24302+t24850*t25067; + t24682 = RATIONAL(-70.0,3.0); + t24792 = RATIONAL(98.0,9.0); + t23484 = t24792*t25120; + t25646 = t23484+t24682*t25127; + t23559 = t24792*t25087; + t25645 = t24682*t25090+t23559; + t24827 = RATIONAL(5.0,4.0); + t25644 = t23841+t24827*t25035; + t25392 = RATIONAL(-50.0,9.0)*t25459; + t24768 = RATIONAL(28.0,3.0); + t23560 = t24768*t25029; + t25643 = t23560+t24851*t25392; + t25347 = t24778*t24851; + t24183 = z*t25347; + t24593 = RATIONAL(-35.0,96.0); + t25642 = t24183+t24593*t25090; + t24783 = RATIONAL(-20.0,3.0); + t25124 = t24783*t25417; + t25641 = t23484+t24851*t25124; + t24760 = RATIONAL(1.0,72.0); + t25186 = t24760*t24852; + t24169 = t24850*t25186; + t24765 = RATIONAL(5.0,72.0); + t25428 = z*t24850; + t25098 = t24765*t25428; + t25640 = t24169+t24852*t25098; + t24620 = RATIONAL(-1.0,576.0); + t23942 = t24620*t25415; + t25154 = t24851*RATIONAL(-1.0,96.0); + t25639 = t24852*t25154+t23942; + t24419 = t24845*t25271; + t25638 = z*t25311+t24419; + t25213 = t24853*t24769; + t24111 = t24851*t25213; + t25423 = z*t24698; + t25118 = t24852*t25423; + t23386 = t24850*t25118; + t25637 = x*t24111+t23386; + t25219 = t24852*t24769; + t24115 = t24851*t25219; + t23429 = t24698*t25087; + t25636 = z*t24115+t23429; + t23139 = t24676*t25120; + t24478 = t24776*t24853; + t25115 = x*t24478; + t25635 = t24851*t25115+t23139; + t23571 = t24764*t25087; + t24068 = t24622*t25244; + t25634 = t23571+z*t24068; + t24733 = RATIONAL(-5.0,72.0); + t25066 = t24733*t25417; + t25633 = t24851*t25066+t23386; + t24653 = RATIONAL(-49.0,48.0); + t25632 = t24653*t25035+RATIONAL(7.0,16.0)*t24849; + t25171 = t24850*t24639; + t23951 = t24852*t25171; + t24668 = RATIONAL(-1.0,144.0); + t25409 = z*t24668; + t25095 = t24852*t25409; + t25631 = t24850*t25095+t23951; + t24492 = t24825*t24853; + t25093 = x*t24492; + t23233 = z*t23899; + t25630 = t24851*t25093+t23233; + t24785 = RATIONAL(-1.0,24.0); + t23705 = t24785*t25125; + t25629 = t23705+RATIONAL(5.0,64.0)*t25035; + t23890 = t24604*t25267; + t25628 = x*t25241+t23890; + t23953 = x*t25143; + t23246 = t24850*t25009; + t25627 = z*t23953+t23246; + t25285 = t24804*t24851; + t24378 = x*t25285; + t24128 = t24852*t25133; + t25626 = t24853*t24378+z*t24128; + t25086 = t24718*t25417; + t23525 = t24850*t25086; + t25222 = t24710*t24851; + t24333 = t24852*t25222; + t25625 = t23525+z*t24333; + t24026 = t24852*t25202; + t25077 = t24809*t25417; + t25624 = t24850*t25077+z*t24026; + t24586 = RATIONAL(-49.0,18.0); + t24810 = RATIONAL(7.0,6.0); + t24505 = t24810*t24852; + t25623 = t24505+t24586*t25244; + t25450 = y*t24742; + t25622 = x*t25450+t24252; + t25421 = z*t24729; + t25084 = t24852*t25421; + t25621 = t23660+t24851*t25084; + t24747 = RATIONAL(-98.0,9.0); + t23481 = t24747*t25120; + t25620 = t24768*t25127+t23481; + t24759 = RATIONAL(-10.0,3.0); + t25619 = t24759*t25244+t24319; + t25161 = t24764*t24853; + t25618 = t24501+t24851*t25161; + t24689 = RATIONAL(5.0,48.0); + t25005 = t24689*t25244; + t25617 = t23358+z*t25005; + t25452 = y*t24828; + t24380 = z*t25452; + t25205 = t24853*t24847; + t24399 = y*t25205; + t25616 = t24380+t24399; + t25177 = RATIONAL(-7.0,96.0)*t24851; + t24253 = t24853*t25177; + t25615 = t23349+t24852*t24253; + t24662 = RATIONAL(-5.0,144.0); + t23336 = t24851*t25028; + t25614 = t23336+t24662*t25391; + t25313 = t24853*t24757; + t24224 = y*t25313; + t24566 = RATIONAL(-35.0,72.0); + t25082 = t24566*t25417; + t25613 = t24224+y*t25082; + t24781 = RATIONAL(-4.0,27.0); + t25442 = y*t24781; + t24363 = t24842*t25415; + t25612 = x*t25442+t24363; + t23308 = t24851*t25009; + t25611 = x*t25098+t23308; + t24635 = RATIONAL(1.0,216.0); + t24454 = t24635*t24850; + t24558 = RATIONAL(-1.0,192.0); + t25610 = t24558*t25035+t24454*t25459; + t24751 = RATIONAL(16.0,9.0); + t24210 = t24751*t25433; + t25609 = t24210+y*t25124; + t24429 = t24523*y; + t24834 = RATIONAL(-1.0,6.0); + t25134 = t24834*t24851; + t25608 = t25134*t25459+t24429; + t25163 = t24850*t24809; + t25607 = x*t25163+t24319; + t23958 = t24600*t25415; + t25606 = t23958+t24668*t25457; + t25289 = t24604*t24853; + t23971 = y*t25289; + t25453 = y*t24645; + t25605 = z*t25453+t23971; + t23223 = z*t24095; + t25268 = t24843*t24853; + t25079 = x*t25268; + t25604 = t24851*t25079+t23223; + t23424 = RATIONAL(-14.0,3.0)*t25125; + t25603 = t23424+RATIONAL(35.0,4.0)*t25035; + t24506 = t24806*t24851; + t24475 = t24795*t24850; + t25602 = t24506+t24475; + t24780 = RATIONAL(5.0,54.0); + t24471 = t24721*t24850; + t25601 = t24780*t24851+t24471; + t24574 = RATIONAL(1.0,108.0); + t24437 = t24574*t24851; + t24646 = RATIONAL(-1.0,216.0); + t24435 = t24646*t24850; + t25600 = t24437+t24435; + t25333 = t24760*t24853; + t24222 = y*t25333; + t24709 = RATIONAL(-1.0,54.0); + t25451 = t24709*y; + t25599 = t24222+z*t25451; + t23070 = RATIONAL(-343.0,192.0)*t25029; + t25598 = t23070+t24827*t25400; + t24808 = RATIONAL(-7.0,9.0); + t25404 = y*t24808; + t24413 = t24853*t25404; + t25597 = t24413+y*t25421; + t24543 = RATIONAL(49.0,192.0); + t25030 = t24543*t24849; + t23127 = y*t25030; + t25104 = t24593*t25454; + t25596 = y*t25104+t23127; + t24684 = RATIONAL(-35.0,3.0); + t25595 = t24684*t25035+t23424; + t24083 = z*t25261; + t24336 = t24853*t25222; + t23512 = t24852*t24336; + t25594 = t23512+x*t24083; + t23970 = t24600*t25267; + t25226 = t24676*t24852; + t25593 = t23970+t24851*t25226; + t23978 = t24560*t25324; + t25592 = t24478+t23978; + t23397 = t24850*t25111; + t25591 = t23397+x*t24336; + t25590 = t24730*t25090+t23640; + t25455 = y*t24640; + t23929 = z*t25455; + t25370 = t24222+t23929; + t24788 = RATIONAL(5.0,12.0); + t25155 = t24788*t24851; + t24227 = t24853*t25155; + t25589 = t25370+t23412+x*t24227; + t24144 = z*t25344; + t24438 = t24646*y; + t25588 = x*t24144+t24438+t23246; + t23775 = RATIONAL(-7.0,2.0)*t25035; + t25458 = y*z; + t25397 = t24764*t25458; + t24605 = RATIONAL(49.0,18.0); + t25587 = t23775+x*t25397+t24605*t25391; + t25247 = RATIONAL(140.0,27.0)*t24851; + t24734 = RATIONAL(-40.0,3.0); + t24517 = RATIONAL(245.0,18.0); + t25586 = z*t25247+t24734*t25087+t24517*t25090; + t23679 = t24850*t25069; + t24634 = RATIONAL(14.0,27.0); + t25340 = t24634*t24851; + t24744 = RATIONAL(-28.0,9.0); + t25585 = t23679+z*t25340+t24744*t25090; + t24453 = t24640*t24851; + t25584 = t24453+t24688*t25742; + t24565 = RATIONAL(35.0,54.0); + t25309 = t24851*t24565; + t24540 = RATIONAL(-245.0,18.0); + t24791 = RATIONAL(16.0,3.0); + t25583 = z*t25309+t24540*t25090+t24791*t25087; + t25234 = t24769*t24851; + t23776 = t24832*t25087; + t25582 = z*t25234+t23776+t24595*t25090; + t24436 = t24649*t24850; + t24033 = x*t24436; + t24456 = t24635*y; + t25581 = RATIONAL(1.0,32.0)*t25035+z*t24033+t24456*t25459; + t24582 = RATIONAL(-35.0,54.0); + t25365 = t24582*t24851; + t24623 = RATIONAL(-35.0,18.0); + t23975 = t24623*t25324; + t25580 = t24751*t25120+(t25365+t23975)*x; + t23832 = t24808*t25120; + t25322 = t24711*t24851; + t25579 = t23832+(t25322+t24277)*x; + t25223 = t24712*t24852; + t24260 = t24851*t25223; + t23783 = t24808*t25087; + t25578 = t23783+(t25322+t24260)*z; + t25332 = t24668*t24851; + t23995 = x*t25332; + t25249 = t24618*t24851; + t25430 = z*t24663; + t25076 = t24852*t25430; + t25577 = t24853*t23995+x*t25249+t24850*t25076; + t24800 = RATIONAL(-5.0,27.0); + t25129 = t24800*t24851; + t23797 = t24843*t25120; + t25576 = x*t25129+t23797+t24851*t25082; + t24570 = RATIONAL(49.0,36.0); + t23717 = t24825*t25120; + t24657 = RATIONAL(-7.0,108.0); + t25305 = t24657*t24851; + t23888 = x*t25305; + t25575 = t23717+t23888+t24570*t25127; + t24807 = RATIONAL(-5.0,6.0); + t24677 = RATIONAL(35.0,72.0); + t25075 = t24677*t25410; + t23326 = t24853*t25075; + t25574 = t24144+t24807*t25090+t23326; + t25363 = t24709*t24851; + t25573 = z*t25363+t24842*t25090+t24850*t25066; + t24163 = t24852*t25155; + t24242 = y*t25186; + t24032 = x*t25455; + t25217 = t24242+t24032; + t25572 = t23571+t25217+z*t24163; + t25571 = t24590*t24851+RATIONAL(50.0,9.0)*t25456+RATIONAL(-100.0,9.0)* +t25391; + t25570 = z*t25249+t24668*t25090+t24663*t25087; + t24844 = RATIONAL(7.0,3.0); + t23817 = t24844*t25087; + t24510 = RATIONAL(-245.0,24.0); + t25348 = t24851*t24677; + t25569 = t23817+z*t25348+t24510*t25090; + t24660 = RATIONAL(280.0,9.0); + t24647 = RATIONAL(-160.0,9.0); + t25291 = RATIONAL(-140.0,27.0)*t24851; + t25568 = x*t25291+t24647*t25120+t24660*t25127; + t24638 = RATIONAL(-1.0,864.0); + t25405 = y*t24638; + t25080 = t24785*t25454; + t25567 = x*t25405+t24851*t25080+t23311; + t25357 = t24842*t24851; + t24392 = x*t25357; + t25425 = z*t24733; + t25119 = t24850*t25425; + t25566 = x*t25363+t24853*t24392+t24852*t25119; + t24700 = RATIONAL(-1.0,48.0); + t23379 = t24666*t25087; + t25565 = t23379+z*t25332+t24700*t25090; + t23730 = t24825*t25087; + t24632 = RATIONAL(-5.0,216.0); + t25137 = t24632*t24851; + t25564 = t23730+z*t25137+t24677*t25090; + t24697 = RATIONAL(7.0,48.0); + t24489 = t24697*t24853; + t25106 = x*t24489; + t23282 = t24850*t25104; + t25563 = x*t25188+t24851*t25106+t23282; + t24486 = t24733*t24851; + t24362 = t24806*t25459; + t25562 = z*t25075+t24486+y*t24362; + t24692 = RATIONAL(-70.0,9.0); + t23562 = t24692*t25087; + t24707 = RATIONAL(-35.0,9.0); + t25144 = t24851*t24707; + t24739 = RATIONAL(70.0,3.0); + t25561 = z*t25144+t23562+t24739*t25090; + t23588 = t24692*t25120; + t25560 = x*t25144+t24739*t25127+t23588; + t25559 = t24502+y*t25392+RATIONAL(-175.0,36.0)*t25391; + t24571 = RATIONAL(-5.0,288.0); + t25210 = t24851*t24571; + t23471 = t24699*t25120; + t24659 = RATIONAL(35.0,96.0); + t25091 = t24659*t25417; + t25558 = x*t25210+t23471+t24851*t25091; + t24793 = RATIONAL(7.0,54.0); + t25192 = t24850*t24793; + t24126 = x*t25192; + t24356 = t24853*t25134; + t23801 = t24852*t24356; + t25557 = t23801+t24793*t25456+z*t24126; + t25556 = t23817+t24144+t24673*t25090; + t24633 = RATIONAL(-5.0,108.0); + t25361 = t24633*t24851; + t25555 = t23820+z*t25361+t24778*t25090; + t23933 = t24623*t25244; + t25554 = t24751*t25087+(t25365+t23933)*z; + t25367 = t24730*t24851; + t24741 = RATIONAL(35.0,6.0); + t23663 = t24741*t25120; + t24643 = RATIONAL(-49.0,12.0); + t25553 = t23663+x*t25367+t24643*t25127; + t24714 = RATIONAL(-35.0,6.0); + t23703 = t24714*t25120; + t24723 = RATIONAL(35.0,9.0); + t25130 = t24723*t24851; + t24521 = RATIONAL(245.0,24.0); + t25552 = t23703+x*t25130+t24521*t25127; + t25153 = t24666*t24851; + t23943 = t24852*t25153; + t24746 = RATIONAL(1.0,54.0); + t25225 = t24851*t24746; + t25551 = t24743*t25087+(t25225+t23943)*z; + t25550 = x*t25247+t24734*t25120+t24517*t25127; + t23554 = t24741*t25087; + t25549 = z*t25367+t23554+t24643*t25090; + t24812 = RATIONAL(-2.0,9.0); + t25301 = t24812*t24852; + t24376 = y*t25301; + t25424 = y*t24696; + t24298 = x*t25424; + t25548 = z*t25025+t24376+t24298+t23360; + t23720 = t24844*t25120; + t25547 = x*t25348+t24510*t25127+t23720; + t23609 = t24699*t25087; + t25546 = z*t25210+t23609+t24659*t25090; + t24655 = RATIONAL(7.0,216.0); + t25447 = y*t24655; + t25105 = t24822*t25417; + t25545 = t23223+z*t25447+t24851*t25105; + t24588 = RATIONAL(-49.0,36.0); + t24573 = RATIONAL(-14.0,27.0); + t25281 = t24573*t24851; + t25544 = t24588*t25127+x*t25281+t23797; + t24694 = RATIONAL(-10.0,9.0); + t25402 = z*t24694; + t25070 = t24852*t25402; + t23495 = t24850*t25070; + t25100 = x*t25145; + t25543 = t24139+t24851*t25100+t23495; + t25542 = t23730+t24570*t25090+z*t25305; + t25541 = t23559+t24783*t25090+t24298; + t25540 = t24515*t24851+t25128*t25459+t23336; + t24840 = RATIONAL(-5.0,1.0); + t24513 = RATIONAL(343.0,72.0); + t25408 = y*t24795; + t24278 = z*t25408; + t25414 = y*t24845; + t24401 = t24853*t25414; + t25539 = t24840*t25127+t24278+t24401+t24513*t25120; + t23284 = t24677*t25120; + t25092 = t24807*t25417; + t25538 = t24318+t24851*t25092+t23284; + t25341 = t24851*t24713; + t24789 = RATIONAL(-28.0,3.0); + t24717 = RATIONAL(70.0,9.0); + t23431 = t24717*t25120; + t25537 = x*t25341+t24789*t25127+t23431; + t24625 = RATIONAL(-35.0,24.0); + t25201 = t24625*t24851; + t24023 = t24852*t25201; + t25065 = x*t25205; + t23785 = t24850*t25065; + t25203 = t24566*t24851; + t25536 = t23785+(t25203+t24023)*z; + t23505 = t24850*t25084; + t25535 = x*t25340+t23505+t24744*t25127; + t25534 = x*t25309+t24791*t25120+t24540*t25127; + t23564 = t24714*t25087; + t25533 = z*t25130+t23564+t24521*t25090; + t24460 = t24697*t24852; + t24957 = t24851*t24460; + t23170 = t24593*t25087; + t25532 = t23170+(t25188+t24957)*z; + t25531 = t24701*t25127+t23508+t24278; + t25068 = t24566*t25410; + t23365 = t24853*t25068; + t25530 = t24830*t25090+t24254+t23365; + t24432 = t24655*t24850; + t23923 = x*t24432; + t24487 = t24774*y; + t25529 = RATIONAL(-5.0,64.0)*t25035+t24487*t25459+z*t23923; + t24297 = z*t25424; + t25279 = t24812*t24853; + t24410 = y*t25279; + t25256 = t24297+t24410; + t25528 = t24835*t25127+t25256+t23233; + t23537 = t24717*t25087; + t25527 = t24789*t25090+z*t25341+t23537; + t23826 = t24850*t25079; + t25526 = t23826+t24588*t25090+z*t25281; + t24398 = y*t25167; + t24220 = x*t25408; + t25135 = t24398+t24220; + t25525 = t25135+t24840*t25090+t24513*t25087; + t25109 = t24677*t25417; + t25524 = x*t25137+t23717+t24851*t25109; + t25523 = RATIONAL(-80.0,3.0)*t25035+RATIONAL(-280.0,27.0)*t25456+RATIONAL +(560.0,27.0)*t25391; + t25083 = t24822*t25454; + t25522 = t24851*t25083+x*t25447+t23266; + t25403 = x*t24694; + t25081 = t24853*t25403; + t23630 = t24850*t25081; + t25521 = z*t25307+t23630+t24713*t25090; + t23480 = RATIONAL(32.0,3.0)*t25125; + t25520 = RATIONAL(-20.0,1.0)*t25035+RATIONAL(245.0,27.0)*t25391+t23480+ +RATIONAL(280.0,27.0)*t25456; + t25519 = t24788*t25459+t24806*t25391+t25632; + t24766 = RATIONAL(1.0,24.0); + t25266 = t24760*t24851; + t23344 = t24850*t25078; + t24603 = RATIONAL(1.0,432.0); + t25443 = y*t24603; + t25518 = z*t25266+x*t25443+t24766*t25090+t23344; + t24650 = RATIONAL(7.0,108.0); + t25339 = t24650*t24851; + t25517 = t25685+(t24229+t25339)*z; + t23948 = t24853*t25171; + t25336 = t24603*t24851; + t25516 = t23948+t24776*t25087+(t25336+t23990)*z; + t25515 = t24590*t25456+t24594*t25391+t25601; + t25102 = t24659*t25454; + t23331 = t24850*t25102; + t25434 = y*t24571; + t25514 = z*t25434+t23331+t24378+t24777*t25127; + t24702 = RATIONAL(-5.0,48.0); + t25331 = t24662*t24851; + t25437 = t24746*y; + t24326 = x*t25437; + t25513 = t23379+z*t25331+t24702*t25090+t24326; + t25072 = t24765*t25417; + t24585 = RATIONAL(5.0,216.0); + t25170 = t24585*t24851; + t25512 = x*t25170+t24851*t25072+t25672; + t24117 = y*t25423; + t24642 = RATIONAL(-35.0,48.0); + t24961 = t24642*t25324; + t25116 = z*t24460; + t23408 = t24850*t25116; + t25511 = t24117+t23953+t23408+x*t24961; + t24483 = t24699*t24853; + t25117 = x*t24483; + t25510 = t23970+t23889+t23408+t24851*t25117; + t25103 = t24566*t25454; + t23168 = t24850*t25103; + t25509 = t24198+x*t25258+t24830*t25127+t23168; + t25508 = t24117+t24318+t24851*t25094+t23720; + t24462 = t24695*t24851; + t24761 = RATIONAL(5.0,24.0); + t25385 = t24761*t25459; + t25507 = y*t25385+t24462+RATIONAL(49.0,32.0)*t25035+t24625*t25391; + t23369 = RATIONAL(35.0,64.0)*t25035; + t25506 = t24812*t25456+t25131*t25459+t23369+RATIONAL(-5.0,576.0)*t24851; + t24670 = RATIONAL(-10.0,27.0); + t25505 = t24670*t25456+RATIONAL(-35.0,108.0)*t25391+t25644; + t25504 = t24692*t25456+RATIONAL(140.0,9.0)*t25391+t25595; + t25396 = t24839*t25459; + t24463 = t24765*t24851; + t25503 = y*t25396+t24622*t25391+RATIONAL(-245.0,64.0)*t25035+t24463; + t24779 = RATIONAL(-1.0,72.0); + t25176 = t24851*t24779; + t24257 = z*t25176; + t25502 = t24663*t25457+t24257+t23609+t24705*t25090; + t25369 = t24851*t24689; + t24109 = x*t25369; + t24627 = RATIONAL(-35.0,16.0); + t25426 = z*t24686; + t24344 = y*t25426; + t25501 = t24109+t24636*t25120+t24627*t25127+t24344; + t25206 = t24843*t24851; + t24648 = RATIONAL(35.0,16.0); + t24248 = z*t25450; + t24525 = RATIONAL(-245.0,96.0); + t25500 = t24648*t25127+t24248+x*t25206+t24525*t25120; + t25499 = t25615+t24567*t25742; + t25498 = t24765*t25090+z*t25170+t25685; + t24554 = RATIONAL(-35.0,144.0); + t24797 = RATIONAL(-5.0,18.0); + t23587 = t24797*t25456; + t25497 = t23692+t23587+t23369+t24554*t25391; + t24767 = RATIONAL(5.0,27.0); + t25419 = y*t24767; + t24201 = x*t25419; + t25232 = t24807*t24851; + t24528 = RATIONAL(-245.0,72.0); + t24813 = RATIONAL(5.0,1.0); + t25496 = t24201+t24813*t25090+z*t25232+t24528*t25087; + t24738 = RATIONAL(-50.0,3.0); + t24563 = RATIONAL(-40.0,27.0); + t25401 = y*t24563; + t25354 = RATIONAL(25.0,9.0)*t24851; + t25495 = x*t25354+z*t25401+t24738*t25127+t23431; + t25189 = t24850*t24812; + t24375 = t24853*t25189; + t25494 = t23826+t24566*t25090+z*t25129+t24375; + t25193 = t24851*t24767; + t25493 = x*t25193+t23505+t24851*t25081+t24386; + t24720 = RATIONAL(5.0,96.0); + t24055 = t24850*t25164; + t25351 = t24645*t24851; + t25492 = z*t25351+t24720*t25090+t24055+t23344; + t24290 = z*t25419; + t25491 = t24813*t25127+t24290+x*t25232+t24528*t25120; + t24120 = z*t25437; + t24977 = t24702*t25324; + t23245 = t24666*t25120; + t25490 = t24120+t23245+(t25331+t24977)*x; + t25489 = t25711+(t25189+t24834)*t25459; + t25318 = t24675*t24851; + t23794 = t24807*t25120; + t25488 = x*t25318+t24248+t23794+t24577*t25127; + t24043 = t24853*t25201; + t25487 = t25647+(t25203+t24043)*x; + t23289 = t24560*t25120; + t25486 = z*t25443+t23289+x*t25266+t24766*t25127; + t25349 = t24851*t24797; + t25413 = y*t24800; + t24110 = z*t25413; + t25485 = t24110+t23168+(t24990+t25349)*x; + t24148 = z*t25422; + t25229 = t24729*t24851; + t25484 = t23703+t24630*t25127+t24148+x*t25229; + t24772 = RATIONAL(5.0,18.0); + t23528 = t24772*t25456; + t25483 = t24814*t25391+t23528+t25683; + t25198 = t24850*t24779; + t25482 = t24779*t25456+t25198*t25459+t25690; + t23793 = t24810*t25035; + t25191 = t24850*t24797; + t24264 = x*t25191; + t25481 = t23793+z*t24264+t23587+t25600; + t24752 = RATIONAL(10.0,3.0); + t25480 = RATIONAL(-245.0,48.0)*t25035+t24835*t25456+t24752*t25391+t25601; + t25381 = t24597*t25459; + t25479 = t24565*t25391+y*t25381+t24463+t25718; + t25380 = t24702*t24851; + t24750 = RATIONAL(-5.0,16.0); + t25478 = x*t25380+t24534*t25120+t24750*t25127+t25599; + t25412 = y*t24632; + t25477 = z*t25412+t24392+t24128+t24811*t25127+t23284; + t24484 = t24749*t24851; + t25476 = t24765*t25456+t24484+z*t25068+t25735; + t24719 = RATIONAL(20.0,3.0); + t25096 = t24719*t25417; + t25248 = t24694*t24851; + t25475 = x*t25248+t24110+t23588+t24851*t25096+t24291; + t23814 = t24807*t25087; + t25474 = z*t25318+t23814+t24577*t25090+t25622; + t25373 = t24670*t24851; + t24703 = RATIONAL(20.0,9.0); + t25473 = t24201+t24703*t25090+z*t25373+t23630+t24375; + t25265 = t24850*t24757; + t24108 = t24853*t25265; + t24282 = z*t25349; + t24274 = x*t25413; + t25472 = t24839*t25090+t24108+t24282+t24274+t23365; + t23757 = RATIONAL(1.0,2.0)*t25035; + t25386 = t24780*t25459; + t25471 = t23757+t24582*t25391+t24462+y*t25386+t24432; + t25470 = t24486+t24559*t25391+t24703*t25456+t25717; + t25469 = z*t25229+t23564+t24630*t25090+t25669; + t24784 = RATIONAL(-5.0,24.0); + t25468 = t24453+t24454+RATIONAL(49.0,96.0)*t25035+t25741*t24784; + t25395 = t24814*t25458; + t23347 = t24852*t24961; + t25467 = x*t25395+t24729*t25391+t23347+t25707; + t24450 = t24574*t24850; + t25466 = t24828*t25391+t25414*t25459+t24450+RATIONAL(-5.0,432.0)*t24851+ +t25683; + t24683 = RATIONAL(40.0,9.0); + t25465 = t24701*t25456+t24683*t25391+t25595+t25707; + t25174 = t24772*t24851; + t25464 = t24324+z*t25174+t24575*t25090+t23170+t25669; + t24664 = RATIONAL(-35.0,36.0); + t25407 = x*t24664; + t25097 = t24851*t25407; + t24267 = y*t25173; + t24628 = RATIONAL(5.0,108.0); + t25209 = t24628*t24851; + t25463 = x*t25209+t24853*t25097+t24267+t24344+t25733; + t24105 = t24779*t25433; + t24725 = RATIONAL(-5.0,12.0); + t25152 = t24851*t24725; + t24127 = t24853*t25152; + t24164 = x*t25347; + t25462 = t24120+t24105+t24164+x*t24127+t25647; + t25461 = y*t25430+x*t25176+t23971+t23890+t24705*t25127+t23471; + t24544 = RATIONAL(-175.0,24.0); + t25200 = RATIONAL(-25.0,9.0)*t24851; + t24354 = y*t25212; + t25460 = z*t25200+y*t25403+t24133+t23554+t24544*t25090+t24354; + t25449 = y*t24585; + t24596 = RATIONAL(-56.0,27.0); + t25448 = y*t24596; + t25446 = y*t24805; + t24608 = RATIONAL(1.0,864.0); + t25444 = y*t24608; + t24584 = RATIONAL(56.0,27.0); + t25441 = y*t24584; + t25440 = t24771*y; + t25439 = y*t24574; + t25438 = y*t24649; + t25435 = z*t24807; + t25432 = z*t24851; + t24799 = RATIONAL(4.0,27.0); + t25429 = y*t24799; + t25420 = y*t24749; + t25418 = y*t24842; + t25416 = y*t24721; + t24569 = RATIONAL(-35.0,27.0); + t25399 = t24569*t25459; + t25394 = t24718*t25459; + t24624 = RATIONAL(25.0,36.0); + t25393 = t24624*t25459; + t24165 = t24759*t25459; + t25390 = t24760*t25459; + t25387 = y*t25425; + t25383 = t24717*t25459; + t25382 = RATIONAL(-25.0,36.0)*t25459; + t24370 = x*t25446; + t24361 = z*t25446; + t24268 = z*t25416; + t24230 = t24852*t25198; + t25379 = t24851*t25186+t24230; + t24580 = RATIONAL(49.0,27.0); + t25253 = t24580*t24850; + t25378 = x*t25253+t24291; + t25377 = t24850*t24703; + t25001 = RATIONAL(1.0,192.0)*t24849; + t23312 = y*t25001; + t25376 = t23312+y*t25099; + t25375 = t24850*t24742; + t25374 = t24850*t24585; + t24461 = t24700*t24853; + t25372 = RATIONAL(49.0,216.0)*t24850; + t25371 = t24850*t24632; + t25366 = t24696*t24851; + t25190 = t24850*t24657; + t24010 = x*t25190; + t25364 = t24010+t24128; + t25362 = t24626*t24852; + t24836 = RATIONAL(-7.0,6.0); + t24508 = t24836*t24852; + t24482 = t24748*t24850; + t24288 = y*t25239; + t25360 = x*t25438+t24288; + t23136 = t24850*t25028; + t25358 = t23136+t24486*t25459; + t25356 = t24850*RATIONAL(-35.0,216.0); + t23969 = t24620*t25271; + t25151 = t24639*t24851; + t25355 = t24853*t25151+t23969; + t24507 = t24834*t24852; + t25352 = t24850*t24800; + t25350 = t24850*t24701; + t25345 = t24850*RATIONAL(7.0,864.0); + t25320 = t24850*t24746; + t24113 = z*t25320; + t24125 = t24851*t25237; + t23501 = z*t24125; + t25343 = t24113+t23501; + t24992 = t24853*t25223; + t23691 = t24850*t24992; + t23494 = x*t24282; + t25342 = t23691+t23494; + t25338 = t24850*t24686; + t25337 = t24850*t24767; + t25334 = t24676*t24853; + t25330 = t24781*t24850; + t23941 = t24620*t25267; + t25329 = t23941+t24852*t25151; + t25328 = t24850*t24573; + t25327 = t24850*t24666; + t25326 = x*t25440+t24417; + t25325 = t24850*t24698; + t25323 = t24850*RATIONAL(-49.0,216.0); + t25321 = t24833*t24853; + t25319 = t24664*t24850; + t24301 = x*t25320; + t24130 = t24851*t25313; + t23576 = x*t24130; + t25317 = t24301+t23576; + t25316 = t24324+z*t25190; + t23624 = t24488*t25459; + t25315 = t23624+t23645; + t25314 = t24670*t24850; + t24353 = t24853*t25406; + t25312 = z*t25440+t24353; + t24100 = x*t25439; + t24327 = t24779*t25415; + t25310 = t24100+t24327; + t25306 = t24125+t24128; + t24578 = RATIONAL(-7.0,432.0); + t25304 = t24578*t24850; + t25303 = t24850*RATIONAL(35.0,216.0); + t25302 = t23691+z*t25097; + t23264 = t24558*t25029; + t25300 = t24851*t25001+t23264; + t24672 = RATIONAL(1.0,288.0); + t25299 = t24672*t24853; + t25298 = t24799*t24850; + t24687 = RATIONAL(8.0,27.0); + t25297 = t24850*t24687; + t24504 = t24810*t24853; + t25296 = t24635*t24851+t24435; + t25295 = t24843*t24852; + t24104 = t24853*t24484; + t25294 = t24304+t24104; + t25293 = t24850*t24778; + t25292 = t24850*t24718; + t24226 = t24715*t25244; + t23670 = t24853*t24226; + t25290 = t23670+t23645; + t25288 = t24686*t24852; + t25287 = t24850*t24668; + t23697 = t24850*t24980; + t25286 = t23697+t24851*t25393; + t24237 = t24852*t25128; + t24161 = t24851*t25239; + t25284 = t24237+t24161; + t25283 = t24850*t24571; + t25282 = t24784*t24851; + t25278 = t24672*t24852; + t25277 = RATIONAL(-25.0,72.0)*t24851; + t24395 = t24852*t25189; + t24359 = t24851*t25167; + t25276 = t24395+t24359; + t25275 = z*t24474+t24375; + t24235 = t24760*t25271; + t23911 = z*t24433; + t25273 = t24235+t23911; + t25272 = t24686*t24853; + t24449 = t24646*t24851; + t25270 = t24449+t24454; + t24443 = t24616*t24851; + t24612 = RATIONAL(7.0,432.0); + t25269 = t24612*t24850; + t24107 = t24853*t25198; + t25264 = t24853*t25266+t24107; + t25263 = t24484*t25459+t23246; + t25262 = t24852*t24711; + t24458 = t24672*t24851; + t23665 = t24850*t25016; + t25254 = t24851*t24755; + t24300 = t24853*t25254; + t23593 = t24852*t24300; + t25257 = t23665+t23593; + t25255 = t24850*t24675; + t24473 = t24748*t24851; + t24470 = t24793*t24851; + t25252 = t24850*t24650; + t25251 = t24774*t24851+t24482; + t24614 = RATIONAL(-224.0,9.0); + t23519 = RATIONAL(64.0,3.0)*t25029; + t25246 = t23519+t24614*t25087; + t25243 = t24655*t24851; + t25242 = RATIONAL(25.0,72.0)*t24851; + t25240 = RATIONAL(5.0,192.0)*t24851; + t24500 = t24845*t24851; + t23896 = z*t25439; + t25238 = t24105+t23896; + t24503 = t24812*t24851; + t25236 = t24850*t24603; + t25235 = RATIONAL(112.0,27.0)*t24850; + t25233 = t24851*RATIONAL(35.0,192.0); + t24427 = t24515*t24850; + t25231 = t24523*t24851+t24427; + t24330 = t24751*t25415; + t25230 = x*t25448+t24330; + t25227 = t24324+t24130; + t23463 = t24851*t25394; + t25224 = t23697+t23463; + t25221 = RATIONAL(35.0,288.0)*t24850; + t23487 = RATIONAL(-32.0,3.0)*t25125; + t24651 = RATIONAL(112.0,9.0); + t25220 = t23487+t24651*t25388; + t24572 = RATIONAL(-49.0,27.0); + t25216 = t24850*t24572; + t23541 = t24747*t25087; + t25214 = t23541+t23560; + t24820 = RATIONAL(8.0,9.0); + t25211 = t24820*t24850; + t25208 = t23697+t25202*t25459; + t24762 = RATIONAL(-7.0,54.0); + t25207 = t24762*t24850; + t25204 = t24133+z*t25253; + t24493 = t24830*t24853; + t24495 = t24836*t24853; + t24498 = t24834*t24853; + t24802 = RATIONAL(8.0,3.0); + t24497 = t24802*t24853; + t25196 = t24108+t24172; + t25195 = t24806*t24853; + t25194 = t24626*t24851; + t25187 = t24634*t24850; + t24170 = t24706*t25267; + t25185 = t24170+x*t25235; + t25184 = t24850*t24842; + t25183 = t24853*t24711; + t25182 = t24850*RATIONAL(-80.0,27.0); + t25181 = t24850*t24638; + t25180 = t24850*t24804; + t25179 = t24805*t24851; + t24212 = t24853*t25131; + t25178 = t24212+z*t25372; + t25175 = t24850*t24569; + t25172 = t24850*RATIONAL(-35.0,288.0); + t23685 = t24766*t25125; + t25169 = t23685+z*t24219; + t25168 = t24850*RATIONAL(80.0,27.0); + t25166 = t24850*t24608; + t25162 = t24808*t24851; + t24467 = t24700*t24852; + t24798 = RATIONAL(-56.0,9.0); + t25160 = t24798*t24851; + t25158 = t24850*t24663; + t25157 = t24850*t24772; + t25150 = t24620*t24851; + t25149 = t24850*RATIONAL(-112.0,27.0); + t25148 = t24698*t24853; + t25146 = t24850*RATIONAL(-7.0,864.0); + t25141 = t24850*t24709; + t24496 = t24825*t24852; + t24494 = t24802*t24852; + t25139 = t24828*t24851; + t25138 = t24605*t24851; + t24218 = z*t25157; + t24150 = x*t25207; + t25126 = t24658*t25417; + t24132 = z*t25292; + t24086 = x*t25319; + t25123 = x*t24461; + t24017 = x*t25252; + t23954 = z*t25216; + t23932 = z*t25274; + t23898 = z*t25175; + t25121 = t24852*t25435; + t24106 = z*t25193; + t23949 = z*t25209; + t25114 = t24720*t25454; + t25113 = t24720*t25417; + t25112 = t24743*t25454; + t25110 = x*t24449; + t25108 = t24593*t25417; + t24411 = t24852*t25404; + t25088 = x*t25136; + t24388 = t24853*t25418; + t25074 = z*t25278; + t24587 = RATIONAL(-25.0,24.0); + t25073 = t24587*t25431; + t24347 = t24853*t25420; + t25071 = t24820*t25454; + t24258 = t24695*t25433; + t24345 = t24850*t25183; + t25063 = t24258+t24356+t24345; + t23589 = y*t24992; + t23174 = t24643*t25029; + t25062 = RATIONAL(7.0,2.0)*t25035+t23589+t23174; + t23846 = t24850*t24993; + t25061 = t23846+t25651; + t24391 = t24828*t25271; + t25060 = t24391+t24851*t25195+t24401; + t25059 = x*t25172+t23878+t24432; + t25058 = t24851*t25140+t24395+t24507; + t25057 = t24388+z*t25442+t24487; + t25056 = t23665+t25732; + t24273 = x*t25451; + t25055 = t24273+t24242+t24456; + t25054 = t24474+t23899+t24086; + t25053 = t24401+t24419+t24853*t25139; + t24369 = t24852*t25159; + t25052 = t24852*t24502+t24369+t24376; + t25051 = t24230+t24161+t24327; + t23962 = t24620*t25433; + t25050 = t23962+t24853*t24458+t23969; + t24685 = RATIONAL(80.0,9.0); + t25049 = t24210+t23487+t24685*t25388; + t25048 = t24267+t24504*t25457+t23341; + t25047 = t24851*t25212+t24420+t24496; + t25046 = t24852*t25138+t24508+t24291; + t25045 = RATIONAL(7.0,1.0)*t24849+RATIONAL(-49.0,3.0)*t25035+t23560; + t24270 = t24850*t25262; + t25044 = t24219+t24852*t25134+t24270; + t25043 = t24853*t25215+t24212+t24483; + t25042 = t24391+t24492+t24851*t25205; + t23694 = t24697*t25087; + t25014 = RATIONAL(-49.0,192.0)*t24849; + t23085 = t24850*t25014; + t25041 = t23694+t23085+t24055; + t23682 = t25288*t25458; + t25040 = t23682+t23685+t24242; + t23130 = y*t25014; + t25039 = y*t25106+t23130+t23972; + t24061 = t24853*t25153; + t25038 = t24461+t24304+t24061; + t24485 = t24735*y; + t25037 = y*t25411+t24485+t24411; + t25036 = t23691+t25657; + t24146 = t24732*t25433; + t24479 = t24687*y; + t25034 = z*t25436+t24146+t24479; + t25033 = t24514*t25324+t24345+t24489; + t24451 = RATIONAL(16.0,27.0)*t24850; + t25032 = x*t25350+t24451+t24319; + t25031 = t24398+t24852*t25139+t24386; + t25027 = t24456+t25693; + t25026 = -t24849+t24844*t25035+t23846; + t25024 = t24095+t24432+x*t25292; + t25023 = t24450+t24578*t24851+t24663; + t25022 = t24821*t25244+t24376+t24319; + t25021 = t23697+t24206+t24830*t25087; + t25020 = t24224+t23692+y*t25086; + t23568 = t24789*t25029; + t25019 = t23568+RATIONAL(49.0,3.0)*t25035+RATIONAL(-7.0,1.0)*t24849; + t23806 = t24506*t25459; + t25018 = t23697+t24438+t23806; + t23818 = t24850*t24973; + t25017 = t23818+t25703; + t25015 = t24853*t25138+t24133+t24495; + t25013 = t23943+t24237+t24467; + t25012 = t24509+t24852*t25162+t24369; + t25011 = t24586*t25324+t24185+t24504; + t25010 = x*t25452+t24464+t24354; + t23160 = t24659*t25087; + t25008 = t24108+t23160+t23085; + t25007 = t23174+t25603; + t24394 = t24851*t25280; + t25006 = t24394+t24410+t24185; + t24175 = t24853*t25176; + t25004 = t24105+t24097+t24853*t25240; + t24552 = RATIONAL(-49.0,576.0); + t23867 = t24552*t25267; + t25003 = t23867+x*t25221+t24436; + t23134 = t24543*t25029; + t25002 = t23134+t25724; + t25000 = t24224+t24495*t25457+t23300; + t24999 = t23926+t23312+y*t25095; + t23916 = t24853*t24443; + t24998 = t24514*t25244+t24460+t24270; + t24997 = t24718*t25324+t24498+t24375; + t23513 = RATIONAL(-64.0,3.0)*t25029; + t24996 = RATIONAL(80.0,3.0)*t25035+t23513+t23480; + t24995 = t24698+t24762*t24851+t24472; + t24994 = t24832*t25035+t23818+t24849; + t24334 = t24853*t25154; + t24991 = t24055+t23962+t24334; + t24989 = t24438+t24686*t25457+t24306; + t24988 = t23130+t24224+y*t25091; + t24724 = RATIONAL(-25.0,6.0); + t24987 = t24724*t25400+t23296+t24487; + t24986 = t24126+t24198+t24436; + t24985 = t24672*t25244+t23941+t23942; + t24276 = t24852*t25152; + t24984 = t23568+t25677; + t24431 = RATIONAL(7.0,1728.0)*t24850; + t24983 = t23970+x*t25304+t24431; + t24247 = z*t25141; + t24982 = t24454+t24247+t24235; + t24981 = t24493+t24853*t25162+t24416; + t24979 = z*t25158+t24426+t24097; + t24978 = t24852*t25240+t23890+t24327; + t23869 = t24552*t25271; + t23069 = RATIONAL(343.0,192.0)*t25029; + t24976 = t23869+t24653*t25087+t23069; + t24205 = t24852*t25176; + t24179 = t24851*t25142; + t24261 = t24851*t25148; + t24975 = t24261+t24258+t24304; + t24974 = t24836*t25035+t23691+t23589; + t23166 = t24558*t25125; + t24972 = RATIONAL(-1.0,32.0)*t25035+t23166+t23136; + t24971 = t24470+t24686+t24471; + t24970 = x*t25327+t23867+t24431; + t24969 = t23127+t23884+t24469*t25458; + t24968 = t24494+t24852*t25160+t24131; + t23302 = t24850*t25001; + t24967 = t23948+t24668*t25087+t23302; + t24966 = x*t25168+t24170+t24451; + t23921 = t24616*t25244; + t24965 = t24497+t24853*t25160+t24188; + t24964 = t24091+t24267+t24277; + t24963 = RATIONAL(-7.0,32.0)*t25035+t23318+t23134; + t24962 = x*t24353+t23644+t24347; + t24405 = t24851*t25321; + t24387 = t24853*t24500; + t24823 = RATIONAL(-1.0,2.0); + t24958 = t23691+t24823*t25035+t23648; + t24956 = t24105+t24107+t24104; + t24955 = t24493*t25457+t23596+t24347; + t24225 = t24851*t25183; + t24954 = t24586*t24851+t24810; + t24953 = RATIONAL(-343.0,18.0)*t24851+RATIONAL(49.0,6.0); + t24629 = RATIONAL(-49.0,54.0); + t24952 = t24629*t24851+t24718; + t24951 = RATIONAL(-49.0,6.0)+RATIONAL(343.0,18.0)*t24851; + t24950 = RATIONAL(-56.0,3.0)+RATIONAL(392.0,9.0)*t24851; + t24556 = RATIONAL(49.0,54.0); + t24949 = t24764+t24556*t24851; + t24948 = t24744+RATIONAL(196.0,27.0)*t24851; + t24947 = RATIONAL(-196.0,27.0)*t24851+t24731; + t24946 = t25138+t24836; + t24945 = RATIONAL(56.0,3.0)+RATIONAL(-392.0,9.0)*t24851; + t23327 = z*t25110; + t24944 = t24851*t25076+t23327+t24616*t25087+t23302; + t23175 = z*t23888; + t23690 = z*t24179; + t24943 = t23544+t23175+t23690+t23645; + t23260 = t24626*t25120; + t24942 = t24743*t25127+t23260+t25627; + t23157 = x*t23949; + t24941 = t23157+t23665+t23429+t24733*t25090; + t23672 = t24470*t25459; + t24940 = z*t24150+t23672+t25257; + t23192 = t24851*t25399; + t24939 = x*t23932+t23818+t24852*t24394+t23192; + t23406 = x*t24257; + t24938 = t23406+t24850*t25390+t23136+t23308; + t23352 = RATIONAL(70.0,27.0)*t25400; + t24589 = RATIONAL(28.0,27.0); + t24937 = t24589*t25456+t23352+t24596*t25391+t25061; + t23524 = t25282*t25459; + t24533 = RATIONAL(35.0,144.0); + t24936 = t23524+t24533*t25391+t24662*t25456+t24963; + t24935 = t24589*t25391+t24573*t25456+t23192+t25017; + t24934 = t24853*t24109+t23139+t25358+t25370; + t24933 = t24363+t24587*t25090+x*t25416+t23525+t25286; + t23465 = t24851*t25383; + t24932 = t24798*t25391+t23465+t24731*t25456+t24984; + t24931 = t24633*t25456+t23494+RATIONAL(35.0,108.0)*t25391+t24958; + t23725 = t25162*t25459; + t24930 = t23725+y*t25394+x*t24132+t24974; + t24929 = t24851*t25014+t24850*t25385+t23524+t23134+t25296; + t24562 = RATIONAL(-140.0,9.0); + t23271 = RATIONAL(245.0,9.0)*t25400; + t24928 = t23271+t24684*t25459+t24562*t25391+t25019; + t24927 = t24564*t25456+t24629*t25391+t25208+t25644; + t23574 = t24741*t25400; + t24926 = t23574+t24744*t25456+t24586*t25391+t25007; + t23351 = RATIONAL(-98.0,27.0)*t25400; + t24925 = t24713*t25459+t23351+t24584*t25391+t24994; + t24924 = x*t24218+t23512+t25270+t25342; + t24923 = t23995+t23890+t24851*t25123+t23245+t25263; + t24922 = t24169+t24850*t25112+t25358+(t25225+t24061)*x; + t24921 = t23801+t23644+t25315+t25741*t24628; + t24920 = t23463+z*t25243+t24591*t25090+t25021; + t24919 = RATIONAL(49.0,108.0)*t25391+t24634*t25456+t25302+t25718; + t24579 = RATIONAL(25.0,27.0); + t23183 = t24579*t25400; + t24918 = t23679+t24106+t23846+t23183+t24851*t25070+t24419; + t24917 = t23766+t23568+RATIONAL(8.0,1.0)*t25035+t23465+RATIONAL(-245.0, +27.0)*t25391+t24581*t25456; + t24916 = x*t25234+t24595*t25127+t25648+t25659; + t24915 = t23524+t25002+(t25418+t25133)*t25459; + t24914 = t23574+RATIONAL(-245.0,36.0)*t25391+t24577*t25456+t25062; + t24913 = t24362+t24850*t25381+t23192+t24994; + t24912 = t24851*t25088+x*t25243+t25224+t25733; + t24911 = t23757+t23644+t24650*t25456+RATIONAL(-49.0,108.0)*t25391+t25224; + t23217 = t24580*t25400; + t24910 = t23217+t24564*t25391+t24808*t25459+t25026; + t24909 = RATIONAL(-1.0,16.0)*t24849+t23672+t24853*t24957+t23665+t24471* +t25459+x*t25426; + t24908 = t23970+x*t25351+t23289+t24851*t25113+t25358; + t24907 = t24465+t24473+t23507+t24850*t25382+t25286; + t24906 = t25263+t23951+t24850*t25101+(t23978+t25336)*x; + t24652 = RATIONAL(25.0,48.0); + t23172 = t24652*t25400; + t24905 = t24198+t23331+t23172+t23085+t24164+t24851*t25108; + t24904 = t23919+z*t25405+t24785*t25127+t23260+t25263; + t24903 = t25653+t25672+(t24225+t25339)*x; + t23378 = z*t24010; + t24902 = t24657*t25456+t23672+t23378+t25056; + t23159 = t24437*t25459; + t24901 = t23166+t24852*t24238+t23159+t23264+(t24435+t24438)*t25459; + t24900 = t23794+t24851*t25126+t24386+x*t25366+t25302; + t23392 = t25254*t25459; + t24899 = y*t25390+t23085+t25265*t25459+t23392+t25735; + t24898 = y*t25383+RATIONAL(245.0,36.0)*t25391+t25714+t25717; + t24753 = RATIONAL(50.0,3.0); + t23263 = RATIONAL(-175.0,9.0)*t25400; + t24897 = t23481+t24146+z*t25441+t23560+t24753*t25127+t23263; + t24896 = t23814+z*t25366+t24658*t25090+t24419+t25302; + t24895 = t24556*t25391+t23725+t24762*t25456+t24958; + t24894 = t23793+t23596+z*t24086+t25407*t25458+t25208; + t24893 = t24268+t24388+t23397+t24853*t25073+t25286; + t23112 = RATIONAL(980.0,27.0)*t25400; + t24892 = t24562*t25459+RATIONAL(112.0,3.0)*t25035+RATIONAL(-560.0,27.0)* +t25391+t23112+t23513+RATIONAL(-16.0,1.0)*t24849; + t24891 = x*t25441+t24186+t24753*t25090+t23263+t25214; + t23091 = RATIONAL(-700.0,27.0)*t25400; + t24890 = z*t25291+t24314+t24660*t25090+t23091+t23519+t24647*t25087; + t23504 = t24747*t25400; + t24889 = t24726*t25459+t24708*t25391+t23504+t25045; + t24888 = t23763+t23352+t24802*t25035+t23846+x*t23898+y*t25399; + t24887 = t24845*t25391+t25406*t25459+t23692+t23347+t25342; + t24886 = t25315+t23705+t24852*t24977+(t24464+t24472)*t25459; + t24885 = t24850*t25386+t23624+t25290+t25296; + t24884 = t24811*t25090+z*t25357+t24324+x*t25412+t24288+t23326+t25018; + t24617 = RATIONAL(25.0,24.0); + t24883 = t24345+t24417+t24617*t25090+x*t25429+z*t25242+t23783+t25036; + t24882 = t23352+t24563*t25391+x*t25402+t24995+t25026; + t24881 = t23832+t24353+z*t25429+x*t25242+t24617*t25127+t24270+t25036; + t24880 = t23691+t24433+t24612*t24851+t24668+t23725+t25632+(t25159+t24830) +*t25459; + t23591 = x*t24106; + t24879 = t24237+x*t25361+t23816+t24853*t24164+t23665+t23591+t24456+t25599 +; + t23676 = t25155*t25459; + t24878 = t23676+t24750*t25090+t23085+t23869+z*t25380+t24534*t25087+t25055 +; + t23335 = RATIONAL(-50.0,27.0)*t25400; + t24877 = t24395+t24290+t24703*t25127+t24410+x*t25373+t23818+t23495+t23335 ++t24487; + t23370 = z*t25073; + t24876 = t23370+x*t25174+t24148+t24267+t24128+t23282+t24575*t25127+t23134 ++t24487; + t24875 = z*t25248+t24398+t23562+t24133+t24274+t24719*t25090+t24464+t25643 +; + t24874 = t23949+t24664*t25090+t23806+t24989+t25021; + t24873 = t23958+t23676+z*t25285+x*t25434+t24777*t25090+t24456+t25008; + t24872 = t24165+t23465+t24737*t25391+t24971+t25019; + t23120 = RATIONAL(125.0,12.0)*t25400; + t24871 = t24399+x*t25200+y*t25402+t23663+t23174+t23120+t24544*t25127+ +t24479+t24291; + t24870 = t24695*t25456+t24458+t24711*t25391+t24424+t24963+t25608; + t24869 = RATIONAL(-5.0,2.0)*t25459+t23574+t24850*t24165+RATIONAL(-49.0, +16.0)*t24849+RATIONAL(343.0,48.0)*t25035+t23174+t24995; + t23581 = RATIONAL(-25.0,8.0)*t25400; + t24868 = t24049+t23581+t24648*t25090+t24525*t25087+t23069+t24464+z*t25206 ++t25622; + t24867 = z*t25369+t24636*t25087+t23858+t24627*t25090+t24989+t25598; + t24527 = RATIONAL(175.0,24.0); + t24866 = t24370+z*t25277+t24212+t23776+t24527*t25090+t24411+t24987; + t23249 = RATIONAL(125.0,9.0)*t25400; + t24865 = z*t25354+t23568+t24485+t24185+t24330+x*t25401+t24738*t25090+ +t23537+t23249; + t24864 = t25690+t25588+t25600+(t25119+t25387)*x; + t24863 = t23775+t23596+t24500+RATIONAL(175.0,36.0)*t25391+y*t25382+t24475 ++t24987; + t24862 = t24694*t25391+x*t25435+t24971+t25208+t25711; + t24861 = t24427+t23136+t25709+t24608*t24851+t25615+(t25420+t25260)*t25459 +; + t24860 = t24413+x*t25277+t24527*t25127+t24361+t24987+t25648; + t24859 = t24183+t24212+t23785+z*t24276+t24327+t24326+t25018; + t24787 = RATIONAL(25.0,3.0); + t24679 = RATIONAL(100.0,9.0); + t24858 = t24787*t25459+t24679*t25391+t24442+t24828+t23263+t24589*t24851+ +t25045; + t23779 = t24851*t25396; + t24857 = t23779+t23528+t24484+t24436+t24623*t25391+t24456+t25062; + t24856 = t24771*t24851+y*t25393+t24624*t25391+t24482+t24974+t25657; + t24855 = t23676+z*t25143+t24642*t25090+t25027+t25041; + t24848 = RATIONAL(-1.0,8.0); + t24846 = RATIONAL(1.0,8.0); + t24841 = RATIONAL(4.0,1.0); + t24838 = RATIONAL(5.0,8.0); + t24837 = RATIONAL(-4.0,1.0); + t24831 = RATIONAL(7.0,4.0); + t24829 = RATIONAL(7.0,8.0); + t24824 = RATIONAL(-1.0,4.0); + t24819 = RATIONAL(1.0,4.0); + t24818 = RATIONAL(-2.0,1.0); + t24817 = RATIONAL(-7.0,8.0); + t24816 = RATIONAL(2.0,1.0); + t24815 = RATIONAL(-7.0,4.0); + t24801 = RATIONAL(-5.0,8.0); + t24786 = RATIONAL(-49.0,9.0); + t24773 = RATIONAL(-16.0,3.0); + t24763 = RATIONAL(10.0,1.0); + t24756 = RATIONAL(25.0,2.0); + t24754 = RATIONAL(-10.0,1.0); + t24745 = RATIONAL(-25.0,2.0); + t24740 = RATIONAL(49.0,9.0); + t24736 = RATIONAL(-80.0,9.0); + t24693 = RATIONAL(35.0,8.0); + t24691 = RATIONAL(-35.0,8.0); + t24678 = RATIONAL(25.0,32.0); + t24674 = RATIONAL(-112.0,9.0); + t24665 = RATIONAL(-200.0,9.0); + t24661 = RATIONAL(160.0,9.0); + t24641 = RATIONAL(-25.0,54.0); + t24637 = RATIONAL(-25.0,48.0); + t24631 = RATIONAL(25.0,96.0); + t24621 = RATIONAL(-25.0,27.0); + t24613 = RATIONAL(-25.0,32.0); + t24611 = RATIONAL(25.0,54.0); + t24610 = RATIONAL(-5.0,192.0); + t24602 = RATIONAL(-25.0,12.0); + t24599 = RATIONAL(-25.0,96.0); + t24598 = RATIONAL(25.0,18.0); + t24568 = RATIONAL(25.0,12.0); + t24557 = RATIONAL(200.0,9.0); + t24555 = RATIONAL(-175.0,18.0); + t24547 = RATIONAL(245.0,96.0); + t24546 = RATIONAL(175.0,18.0); + t24545 = RATIONAL(-175.0,32.0); + t24536 = RATIONAL(-35.0,192.0); + t24531 = RATIONAL(100.0,27.0); + t24529 = RATIONAL(-100.0,27.0); + t24524 = RATIONAL(175.0,32.0); + t24516 = RATIONAL(-343.0,72.0); + t24512 = RATIONAL(49.0,288.0); + t24446 = t24638*t24851; + t24415 = x*t25211; + t24414 = z*t25180; + t24408 = x*t25180; + t24406 = t24833*t25244; + t24404 = t24853*t25179; + t24403 = z*t25211; + t24393 = t24852*t25179; + t24382 = t24853*t24503; + t24379 = z*t25184; + t24372 = x*t25184; + t24367 = t24852*t24503; + t24358 = z*t25163; + t24352 = t24851*t24491; + t24351 = z*t25352; + t24346 = z*t25338; + t24338 = z*t25191; + t24328 = t24853*t25258; + t24325 = x*t25330; + t24316 = z*t25207; + t24315 = z*t24465; + t24308 = t24853*t25282; + t24293 = z*t25337; + t24289 = x*t25293; + t24287 = z*t25192; + t24285 = t24797*t25244; + t24283 = x*t24465; + t24281 = t24752*t25244; + t24279 = t24686*t25244; + t24269 = z*t24475; + t24266 = t24761*t25324; + t24265 = x*t25377; + t24251 = t24761*t25244; + t24244 = t24797*t25324; + t24241 = t24759*t25324; + t24234 = z*t25375; + t24233 = t24852*t25177; + t24232 = x*t25352; + t24231 = x*t25297; + t24223 = t24853*t24462; + t24215 = z*t24482; + t24214 = x*t24482; + t24213 = t24681*t25244; + t24211 = z*t25353; + t24209 = t24683*t25244; + t24208 = x*t25325; + t24193 = t24853*t25174; + t24190 = z*t25297; + t24189 = x*t25157; + t24187 = z*t25350; + t24182 = x*t25338; + t24178 = z*t25330; + t24173 = x*t25375; + t24162 = x*t24475; + t24160 = t24852*t25174; + t24159 = x*t25141; + t24157 = x*t25298; + t24156 = t24683*t25324; + t24155 = t24752*t25324; + t24142 = z*t25377; + t24140 = t24695*t25244; + t24138 = z*t25293; + t24137 = x*t25337; + t24136 = t24784*t25244; + t24123 = z*t25298; + t24119 = t24755*t25244; + t24118 = t24722*t25324; + t24116 = z*t25325; + t24103 = t24851*t25132; + t24102 = x*t24474; + t24099 = t24600*t25244; + t24098 = t24853*t25150; + t24096 = z*t25146; + t24090 = z*t25269; + t24089 = x*t25269; + t24088 = x*t25255; + t24087 = x*t25158; + t24084 = z*t25438; + t24082 = z*t25328; + t24076 = t24852*t25150; + t24071 = z*t24436; + t24064 = x*t25216; + t24062 = x*t25181; + t24059 = z*t25252; + t24058 = z*t25319; + t24050 = t24853*t25194; + t24040 = x*t25175; + t24039 = t24852*t25143; + t24030 = z*t25255; + t24028 = z*t24432; + t24027 = z*t25304; + t24024 = z*t25187; + t24021 = z*t25345; + t24019 = t24610*t25324; + t24016 = x*t25146; + t24015 = x*t25187; + t24014 = z*t25283; + t24012 = x*t25374; + t24011 = z*t25327; + t24009 = t24610*t25244; + t24004 = x*t25449; + t23993 = x*t25345; + t23992 = t24851*t25289; + t23987 = x*t25314; + t23982 = z*t25168; + t23981 = z*t25448; + t23980 = z*t25236; + t23979 = x*t25236; + t23977 = x*t25287; + t23974 = x*t25197; + t23967 = z*t24450; + t23963 = z*t25444; + t23959 = t24676*t25324; + t23957 = z*t25449; + t23950 = t24662*t25324; + t23946 = x*t25166; + t23945 = x*t25283; + t23938 = x*t24433; + t23937 = t24604*t25244; + t23936 = x*t25444; + t23935 = z*t25166; + t23928 = x*t25328; + t23924 = z*t25371; + t23922 = x*t25427; + t23920 = z*t25314; + t23917 = z*t25182; + t23913 = t24662*t25244; + t23912 = y*t25409; + t23910 = x*t25182; + t23907 = x*t25371; + t23906 = z*t25287; + t23902 = z*t25374; + t23900 = t24851*t25164; + t23895 = z*t25181; + t23894 = x*t24450; + t23893 = z*t25368; + t23885 = x*t25453; + t23883 = t24852*t25194; + t23882 = z*t25303; + t23881 = z*t25235; + t23875 = t24536*t25244; + t23874 = x*t25372; + t23873 = x*t25323; + t23872 = z*t25221; + t23871 = x*t25303; + t23870 = z*t25149; + t23868 = x*t25149; + t23866 = t24852*t25233; + t23865 = t24554*t25244; + t23863 = z*t25356; + t23859 = t24554*t25324; + t23856 = t24533*t25324; + t23855 = t24533*t25244; + t23852 = z*t25172; + t23851 = t24536*t25324; + t23849 = z*t25323; + t23848 = x*t25356; + t23847 = t24853*t25233; + t23840 = y*t25065; + t23837 = t24814*t25388; + t23834 = t24809*t25398; + t23828 = t24501*t25457; + t23815 = z*t24363; + t23813 = x*t24413; + t23810 = t25195*t25457; + t23809 = t24852*t24361; + t23807 = t24498*t25457; + t23803 = t24850*t25071; + t23795 = y*t25121; + t23792 = t25295*t25458; + t23782 = y*t25071; + t23781 = x*t24388; + t23770 = t25218*t25458; + t23769 = y*t25092; + t23761 = y*t25093; + t23755 = y*t25077; + t23752 = y*t25067; + t23751 = t24820*t25388; + t23747 = t24497*t25457; + t23746 = z*t24411; + t23745 = t24828*t25388; + t23744 = t24820*t25087; + t23738 = t24490*t25457; + t23737 = t24853*t24370; + t23736 = t24852*t25395; + t23732 = t24852*t24405; + t23726 = y*t25079; + t23724 = t24491*t25458; + t23723 = t24508*t25458; + t23722 = t24852*t24380; + t23719 = t24496*t25458; + t23718 = t24494*t25458; + t23715 = t24499*t25458; + t23714 = t24507*t25458; + t23713 = t24505*t25458; + t23712 = t24732*t25120; + t23707 = y*t25118; + t23704 = y*t25066; + t23702 = t24852*t25397; + t23701 = t25148*t25457; + t23696 = t24725*t25388; + t23689 = y*t25072; + t23684 = x*t24258; + t23658 = y*t25114; + t23657 = t24852*t25387; + t23655 = t24850*t25072; + t23653 = t24700*t25087; + t23649 = t24853*t25005; + t23642 = t24743*t25388; + t23635 = t24788*t25388; + t23634 = x*t24108; + t23628 = x*t24267; + t23626 = t24850*t25114; + t23620 = x*t24347; + t23618 = y*t25115; + t23617 = t24852*t24334; + t23614 = t24720*t25087; + t23610 = y*t25113; + t23604 = t24786*t25388; + t23598 = x*t24224; + t23597 = t24783*t25398; + t23592 = t24723*t25388; + t23583 = t24788*t25398; + t23578 = t25183*t25457; + t23577 = y*t25112; + t23575 = t24725*t25398; + t23570 = t25161*t25457; + t23566 = t24796*t25120; + t23553 = t24732*t25087; + t23548 = t24740*t25388; + t23547 = y*t25084; + t23545 = z*t24198; + t23542 = z*t24252; + t23532 = t24707*t25388; + t23527 = t25213*t25457; + t23523 = y*t25117; + t23518 = t25228*t25458; + t23514 = t24713*t25398; + t23510 = y*t25089; + t23509 = y*t25069; + t23502 = t24773*t25087; + t23496 = z*t24306; + t23492 = y*t25096; + t23489 = y*t25100; + t23488 = t24786*t25398; + t23483 = RATIONAL(20.0,1.0)*t25035; + t23482 = y*t25081; + t23476 = t24736*t25388; + t23474 = t24740*t25398; + t23466 = t25272*t25457; + t23459 = t24773*t25120; + t23452 = t24719*t25398; + t23447 = t24723*t25398; + t23435 = t24736*t25398; + t23425 = t24685*t25398; + t23418 = t24765*t25398; + t23416 = t24707*t25398; + t23415 = t25262*t25458; + t23413 = t24700*t25120; + t23411 = t24467*t25458; + t23404 = t24768*t25090; + t23402 = y*t25116; + t23401 = y*t25070; + t23398 = y*t25123; + t23388 = z*t24288; + t23385 = t25219*t25458; + t23372 = y*t25126; + t23363 = t24614*t25120; + t23362 = t25165*t25458; + t23343 = z*t24017; + t23338 = t24663*t25388; + t23332 = t24630*t25398; + t23319 = t24668*t25388; + t23315 = t24616*t25388; + t23309 = y*t25108; + t23305 = RATIONAL(-49.0,96.0)*t25035; + t23299 = t24661*t25087; + t23298 = t25299*t25457; + t23294 = t24673*t25398; + t23291 = t24666*t25388; + t23288 = y*t25102; + t23283 = t25334*t25457; + t23272 = t25362*t25458; + t23262 = RATIONAL(-49.0,32.0)*t25035; + t23243 = y*t25109; + t23239 = t24658*t25398; + t23234 = y*t25085; + t23220 = t24591*t25398; + t23213 = t24677*t25398; + t23208 = t24651*t25398; + t23207 = t24674*t25388; + t23203 = t24674*t25398; + t23185 = t24661*t25120; + t23179 = y*t25088; + t23165 = y*t25103; + t23158 = t24633*t25391; + t23156 = t24653*t25120; + t23152 = y*t25076; + t23148 = y*t25074; + t23145 = t24672*t25087; + t23142 = t24850*t25074; + t23140 = t25226*t25458; + t23131 = t24547*t25087; + t23129 = RATIONAL(245.0,64.0)*t25035; + t23122 = t24512*t25087; + t23117 = t24547*t25120; + t23116 = t24514*t25120; + t23109 = RATIONAL(245.0,48.0)*t25035; + t23101 = t24851*t25030; + t23097 = t24516*t25120; + t23084 = t24541*t25120; + t23080 = t24512*t25120; + t23075 = t24516*t25087; + coeff_dxz_m2_m2_m2 = t23922+t23916+t24429+t24446+t23319+t23974+t23921+ +t23617+t24967+(t24635+t25186)*t25432+((t25333+t24635)*t24851+(t25363+t25445* +t24574)*z)*x+t24999+t25631+t25662+t25708; + coeff_dxz_m1_m2_m2 = t23883+t23610+z*t24473+t23885+t23614+t24864+t24956+ +t25343+t25490+t25628+t25675; + coeff_dxz_0_m2_m2 = t24033+t23634+t23598+t24279+z*t24359+t24903+t25360+ +t25557+t25694; + coeff_dxz_p1_m2_m2 = t24879+(t25301+t24774)*t25432+t24012+t23655+t24223+ +t24004+t23815+t23689+t24982+t25584+t25730+t25732; + coeff_dxz_p2_m2_m2 = z*t24449+t23977+t23980+t23690+t23653+t23398+t23362+ +t24861+t25050+t25486+t25593+t25606; + coeff_dxz_p3_m2_m2 = t23946+t23298+t23145+t24901+t23936+z*t24205+t23152+ +t24985+t25577; + coeff_dxz_m2_m1_m2 = t24090+t24089+t25513+t23701+t23707+x*t24268+t23378+ +t24978+t25004+t25490+t25588+t25629+t25665; + coeff_dxz_m1_m1_m2 = t23370+t25464+t25059+t24308+t25002+t24316+t23875+ +t23702+t23696+(t24631+t24678*t24853)*t25431+t25057+t23116+t25562; + coeff_dxz_0_m1_m2 = t23874+t24163+t23782+t23840+t24927+t25487+t25548; + coeff_dxz_p1_m1_m2 = t24398+t24276+t24266+t24287+t23848+t23837+t25472+ +t23834+t24881+t24436+t25479; + coeff_dxz_p2_m1_m2 = t24027+t24855+t24019+t23866+t23828+t24970+t25478+ +t25506+t25654; + coeff_dxz_p3_m1_m2 = t24009+t24016+t24908+t24032+t23684+t25040+t25529+ +t25617; + coeff_dxz_m2_0_m2 = t24215+t24214+(t24715*t24852+t24695)*z+(t24695+t25132 ++(t24842+t25298)*z)*x+t24903+t25023+t25517+t25592+t25681+t25684; + coeff_dxz_m1_0_m2 = t24189+t24190+t24862+(t24838*t24853+t24761)*x+(t24845 ++t25223)*z+t24997+t25487+t25526+t25715; + coeff_dxz_0_0_m2 = t24821*t25454+t23712+t23928+(t24946*t24853+t24949)*x+ +t24925+t25012+t25734; + coeff_dxz_p1_0_m2 = t24088+(t24772+t25268)*x+(t25259+t24812)*z+t24882+ +t25047+t25580+t25585+t25618+t25638; + coeff_dxz_p2_0_m2 = (t24715+t24824*t24853)*x+t24315+(t24710*t24852+t24749 +)*z+t24880+t24408+t24998+t25038+t25542+t25579; + coeff_dxz_p3_0_m2 = z*t25245+(t24760+t24766*t24853)*x+t24909+t25013+ +t25317+t25636+t25663; + coeff_dxz_m2_p1_m2 = t24879+t24039+t23649+t24283+t23466+t24273+t24315+( +t25330+t25440)*t25459+t25040+t25555+t25660+t25661; + coeff_dxz_m1_p1_m2 = t25467+t23865+t24244+t23635+t24881+t24264+t25474+ +t25638+t25654; + coeff_dxz_0_p1_m2 = t24015+t23813+t23834+t24937+t25135+t25580+t25692+ +t25719; + coeff_dxz_p1_p1_m2 = t23712+(t24598*t24853+t24611)*t25431+t25473+t24193+ +t24190+t23782+t23810+t23987+t25052+t23335+t25017+t25057+t25515; + coeff_dxz_p2_p1_m2 = t24215+t25462+t23950+t23855+t23702+t23807+t24874+ +t24372+t25466; + coeff_dxz_p3_p1_m2 = t23913+t24159+t23707+t24886+t23620+t25310+t25512+ +t25722; + coeff_dxz_m2_p2_m2 = t24027+x*t23929+t23343+t24983+t25486+t23338+t23152+ +t24991+t24443+t24972+t25518+t25639+t25709; + coeff_dxz_m1_p2_m2 = t24300+t24873+t24287+t24239+t23642+t23362+t25003+ +t25476+t25478; + coeff_dxz_0_p2_m2 = t23628+t23873+t23815+t24895+t25044+t25522+t25579; + coeff_dxz_p1_p2_m2 = t23871+t24352+t24884+t24103+t25462+t24316+t23704+ +t25471+t25694; + coeff_dxz_p2_p2_m2 = t24090+t24233+t23618+t24870+(t24766+t24846*t24853)* +t25431+t23116+t25502+t25662+t25675+t25698+t25737; + coeff_dxz_p3_p2_m2 = t24213+t23993+t24923+t23315+t24999+t25567+t25581; + coeff_dxz_m2_p3_m2 = x*t23911+t23980+t23979+t23159+t25231+t25300+t25329+ +t25355+t25570+t25577; + coeff_dxz_m1_p3_m2 = t23937+t24449+t24175+t24908+t23945+t24982+t25551+ +t25611; + coeff_dxz_0_p3_m2 = t23576+t23923+t24940+t25284+t25663+t25689; + coeff_dxz_p1_p3_m2 = t23907+t24885+t24113+t24140+t25264+t25512+t25573; + coeff_dxz_p2_p3_m2 = t24099+t24087+t24098+t24923+t25516+t25540+t25708; + coeff_dxz_p3_p3_m2 = t24076+t24062+(t24608+t25299)*t25431+t24944+t25610+ +t25631; + coeff_dxz_m2_m2_m1 = t23658+x*t24473+t24050+t23626+t24864+t23291+t25051+ +t25317+t25513+t25605+t25739; + coeff_dxz_m1_m2_m1 = t24138+t24111+t24289+t24652*t25742+t25464+t24115+ +t24876+t23309+t23305+t25596+t25716; + coeff_dxz_0_m2_m1 = t24102+t24395+t24894+t23792+t23372+t24393+t25544+ +t25548; + coeff_dxz_p1_m2_m1 = t24225+t24234+t24232+t23795+t24856+t25031+t25472+ +t25488+t25613; + coeff_dxz_p2_m2_m1 = t24855+t24208+t23959+t24014+t23288+t25039+t25468+ +t25514+t25679; + coeff_dxz_p3_m2_m1 = t23577+t23283+t24922+t23938+t24140+t25217+t25499+ +t25617; + coeff_dxz_m2_m1_m1 = (t24631+t24678*t24852)*t25432+t24150+t24136+t23851+ +t24876+t23852+t23570+t23575+t24432+t25562+t25612+t25697+t25724; + coeff_dxz_m1_m1_m1 = t25037+(t24545*t24852+t24602)*t25432+t23070+((t24602 ++t24545*t24853)*t24851+(t24724*y+RATIONAL(-175.0,48.0)*t24850+RATIONAL(125.0, +16.0)*t24851)*z)*x+t24083+t24068+t23129+t23117+t23332+t23131+t25597+t25602+ +t25649+t25650+t25687; + coeff_dxz_0_m1_m1 = t23604+t24064+t24756*t25090+t24898+t23597+t23075+ +t25230+t25552+t25619; + coeff_dxz_p1_m1_m1 = t23592+t24043+t24058+t24281+(t24745*t24852+t24568)* +t25432+t23452+t24871+t25559+t25603+t25656+t25736+t25738; + coeff_dxz_p2_m1_m1 = t23847+(t24599+t24524*t24852)*t25432+t24976+t24023+ +t25010+t23872+t23581+t24436+t23294+t25000+t25500+t25503+t25699; + coeff_dxz_p3_m1_m1 = t23583+t24251+t24017+t24613*t25090+t23578+t24905+ +t23122+t25326+t25497; + coeff_dxz_m2_0_m1 = (t24845+t24712*t24853)*x+t24231+(t24761+t24838*t24852 +)*z+t24218+t24862+t25043+t25058+t25536+t25544; + coeff_dxz_m1_0_m1 = t24187+(t24835+t24691*t24852)*z+(t24835+t24691*t24853 ++(RATIONAL(25.0,4.0)+t24787*t24850)*z)*x+t25032+t25011+t25533+t25552+t25623+ +t25652+t25668+t25714; + coeff_dxz_0_0_m1 = t24763*t25454+t23566+(t24953*t24853+t24947)*x+t24928+ +t25185+t25645+t25655; + coeff_dxz_p1_0_m1 = t23910+t24858+t24142+(t24754*t24852+t24839)*z+(t24714 +*t24853+t24701)*x+t24968+t25015+t25550+t25561; + coeff_dxz_p2_0_m1 = t24338+(t24822+t24831*t24853)*x+t24869+(t24784+t24693 +*t24852)*z+t24415+t25033+t25046+t25553+t25569; + coeff_dxz_p3_0_m1 = t24801*t25454+t24325+(t24777*t24853+t24804)*x+t24900+ +t25519+t25634+t25674; + coeff_dxz_m2_p1_m1 = t23859+t24338+t23583+t24883+t24285+t25020+t25467+ +t25488+t25667; + coeff_dxz_m1_p1_m1 = t24265+t24142+t23109+(RATIONAL(25.0,6.0)*y+RATIONAL( +-25.0,3.0)*t24850)*t25459+t24026+t24020+t25460+t23294+t24871+t25695+t25696; + coeff_dxz_0_p1_m1 = t23868+t24891+t23548+t23452+t25504+t25550+t25686; + coeff_dxz_p1_p1_m1 = t24865+t23532+t24209+t24187+t23975+t23597+t23566+( +t24555*t24853+t24529)*t25431+t24966+t25571+t25597+t25677; + coeff_dxz_p2_p1_m1 = t23856+t24866+t24218+t23933+t23332+t25048+t25480+ +t25484+t25607; + coeff_dxz_p3_p1_m1 = t24395+t24157+t24160+t23575+t23527+t24933+t25483+ +t25576; + coeff_dxz_m2_p2_m1 = t23577+t24118+t24119+t23872+t24878+t24986+t25476+ +t25514+t25670; + coeff_dxz_m1_p2_m1 = t24336+t23262+t24058+t24868+(RATIONAL(175.0,48.0)* +t24850+t24637*y)*t25459+t23288+t24503+t24333+t24988+t25054+t25500; + coeff_dxz_0_p2_m1 = t24406+t23795+t23179+t24914+t25378+t25525+t25553; + coeff_dxz_p1_p2_m1 = t24040+t24083+t23792+t23243+t24863+t24964+t25022+ +t25484+t25496; + coeff_dxz_p2_p2_m1 = t23523+t24253+(t24825+t24817*t24853)*t25431+t24260+ +t24867+t23852+t23117+t25024+t25507+t25596+t25605; + coeff_dxz_p3_p2_m1 = t23658+t24226+t24936+t23234+t25310+t25364+t25563+ +t25723; + coeff_dxz_m2_p3_m1 = t24159+t24205+t23992+t24922+t24014+t25270+t25492+ +t25611; + coeff_dxz_m1_p3_m1 = t24234+t24173+t23160+t24179+t24637*t25391+t24905+ +t23101+t25196+t25251+t25642; + coeff_dxz_0_p3_m1 = t24162+t24367+t24900+t25594+t25666; + coeff_dxz_p1_p3_m1 = t24138+t24137+t24907+t25227+t25276+t25574+t25576; + coeff_dxz_p2_p3_m1 = t24182+t24929+t23900+t25306+t25546+t25563+t25739; + coeff_dxz_p3_p3_m1 = t23894+t23626+(t25334+t24640)*t25431+t25379+t25614+ +t25627+t25726; + coeff_dxz_m2_m2_0 = t24084+t23545+t23542+t24328+t24071+x*t24387+t24962+ +t25517+t25557+t25653; + coeff_dxz_m1_m2_0 = t24894+t23726+t24404+t23239+t25275+t25526+t25528; + coeff_dxz_0_m2_0 = t23818+t23518+t23351+t23510+t24580*t25742+t25720+ +t25728+t25734; + coeff_dxz_p1_m2_0 = t23514+t24269+t24888+t23509+t25053+t25531+t25585; + coeff_dxz_p2_m2_0 = t23220+t24028+t24930+t23761+t24975+t25542+t25545; + coeff_dxz_p3_m2_0 = t23701+t23496+t24902+t25626+t25636; + coeff_dxz_m2_m1_0 = t23751+t23752+t24227+t24927+t25178+t25528+t25536; + coeff_dxz_m1_m1_0 = t24241+t24185+t23097+t24756*t25127+t23981+t23954+ +t24898+t23488+t25533+t25609; + coeff_dxz_0_m1_0 = t23208+t23271+t23483+t23568+(RATIONAL(-392.0,27.0)*y+ +RATIONAL(-343.0,27.0)*t24850)*t25459+t25220+t25645+t25646; + coeff_dxz_p1_m1_0 = t24155+t24897+t23476+t23203+t25204+t25520+t25561; + coeff_dxz_p2_m1_0 = t24345+t24127+t23849+t23747+t24926+t23474+t25539+ +t25569; + coeff_dxz_p3_m1_0 = t23746+t23745+t24919+t25604+t25634; + coeff_dxz_m2_0_0 = t23553+t24082+x*t25280+(t24946*t24852+t24949)*z+t24925 ++t24981+t25720; + coeff_dxz_m1_0_0 = t23881+t24763*t25417+(t24953*t24852+t24947)*z+t24928+ +t25646+t25664+t25671; + coeff_dxz_0_0_0 = t23363+t24950*t25454+(t24950*t24853+(RATIONAL(-1372.0, +27.0)*t24851+RATIONAL(196.0,9.0)+RATIONAL(784.0,27.0)*t24850)*z)*x+t25246+ +t25678; + coeff_dxz_p1_0_0 = t23870+t23299+t24796*t25417+(t24945*t24852+t24948)*z+ +t24892+t24965+t25688; + coeff_dxz_p2_0_0 = t23502+t24837*t25417+t24024+(t24951*t24852+t24952)*z+ +t24889+t25042+t25620; + coeff_dxz_p3_0_0 = t25105+t23744+t24954*t25454+t24910+t25712; + coeff_dxz_m2_p1_0 = t24024+t23746+t23755+t24937+t25060+t25531+t25554; + coeff_dxz_m1_p1_0 = t24897+t23870+t23474+t23492+t25504+t25586+t25676; + coeff_dxz_0_p1_0 = t23207+t23112+t23203+(RATIONAL(-784.0,27.0)*t24850+ +RATIONAL(392.0,27.0)*y)*t25459+t24996+t25680+t25688; + coeff_dxz_p1_p1_0 = t24890+t24156+t23208+t23981+t23881+t23363+t24557* +t25127+t25049+t25523; + coeff_dxz_p2_p1_0 = t24932+t24082+t23738+t23488+t25256+t25583+t25641+ +t25702; + coeff_dxz_p3_p1_0 = t23737+t23752+t24935+t25624+t25658; + coeff_dxz_m2_p2_0 = t23781+t23496+t23849+t24895+t25063+t25545+t25578; + coeff_dxz_m1_p2_0 = t23769+t24405+t23220+t24914+t25204+t25539+t25549; + coeff_dxz_0_p2_0 = t23514+t23404+t23504+t23489+(t24572*y+RATIONAL(343.0, +27.0)*t24850)*t25459+t25214+t25620+t25725; + coeff_dxz_p1_p2_0 = t24297+t23954+t24917+t23518+t23482+t25006+t25527+ +t25641; + coeff_dxz_p2_p2_0 = t24373+t23097+t23239+t24816*t25127+t24084+t24955+ +t25178+t25582+t25587+t25659; + coeff_dxz_p3_p2_0 = t23542+t23466+t24911+t25625+t25630; + coeff_dxz_m2_p3_0 = t24028+t23501+t24940+t25294+t25626+t25691; + coeff_dxz_m1_p3_0 = t24382+t24269+t24896+t25594+t25604; + coeff_dxz_0_p3_0 = x*t23954+t23846+t23217+t23732+t25590+t25712; + coeff_dxz_p1_p3_0 = t24387+t24939+t25275+t25521+t25658; + coeff_dxz_p2_p3_0 = t24071+t24223+t24920+t25630+t25705; + coeff_dxz_p3_p3_0 = t23670+t23343+x*t24261+t23545+t24943; + coeff_dxz_m2_m2_p1 = t23781+t24159+t24454+t23418+t23957+t24140+t23902+ +t25056+t23591+(t25279+t24774)*t25431+t25055+t24975+t25555+t25584+t25640; + coeff_dxz_m1_m2_p1 = t23769+t24173+t23165+t24856+t24351+t25053+t25474+ +t25485+t25679; + coeff_dxz_0_m2_p1 = t24162+t23547+t24888+t24220+t23489+t25031+t25535+ +t25692; + coeff_dxz_p1_m2_p1 = t24293+t24579*t25742+t24137+t23482+t24404+t24376+ +t23401+t24877+t24393+t25473+t25716+t25728; + coeff_dxz_p2_m2_p1 = t24328+t24115+t24182+t23924+t23213+t24874+t24955+ +t25477+t25481; + coeff_dxz_p3_m2_p1 = t23466+t24100+t23894+t23657+t24921+t25051+t25566+ +t25722; + coeff_dxz_m2_m1_p1 = t23736+t24127+t24251+t23863+t24883+t23755+t24401+ +t24986+t25479+t25485; + coeff_dxz_m1_m1_p1 = t25007+t24155+(t24568+t24745*t24853)*t25431+t24023+ +t25054+t23932+t23492+t23447+t25460+t23120+t23084+t25034+t25559; + coeff_dxz_0_m1_p1 = t24281+t24891+t23435+t23207+t25378+t25520+t25560; + coeff_dxz_p1_m1_p1 = t23898+t24865+t24241+(RATIONAL(-175.0,27.0)*t24850+ +RATIONAL(-200.0,27.0)*y)*t25459+t24040+t23483+t23425+t25049+t25495+t25602+ +t25619; + coeff_dxz_p2_m1_p1 = t24866+t24410+t24068+t23882+t23738+t24227+t23416+ +t25024+t25470+t25491; + coeff_dxz_p3_m1_p1 = t24136+t23770+t23737+t24933+t25364+t25505+t25538; + coeff_dxz_m2_0_p1 = t24030+(t25321+t24812)*x+(t24772+t25295)*z+t24882+ +t25042+t25535+t25554+t25667+t25674; + coeff_dxz_m1_0_p1 = t24265+t24858+(t24839+t24754*t24853)*x+t23917+(t24701 ++t24714*t24852)*z+t24965+t25046+t25560+t25586; + coeff_dxz_0_0_p1 = t24796*t25454+t23185+t23868+(t24945*t24853+t24948)*x+ +t24892+t24968+t25680; + coeff_dxz_p1_0_p1 = t23982+t24890+(t24703+t24734*t24853+(RATIONAL(400.0, +27.0)*t24850+t24679)*z)*x+(t24734*t24852+t24703)*z+t24966+t25568+t25655+t25668+ +t25671+t25678; + coeff_dxz_p2_0_p1 = t24872+t23920+(t24841*t24853+t24811)*x+(t24797+t24741 +*t24852)*z+t24981+t25537+t25583+t25607+t25623; + coeff_dxz_p3_0_p1 = t25121+t24157+(t24811*t24853+t24842)*x+t24913+t25058+ +t25543+t25624; + coeff_dxz_m2_p1_p1 = t23751+t24231+t23553+t24160+t23920+t23770+(t24611+ +t24598*t24852)*t25432+t24877+t25515+t25612+t25702+t25703; + coeff_dxz_m1_p1_p1 = t23982+t24156+t25037+t23933+(t24529+t24555*t24852)* +t25432+t25032+t23249+t23416+t24984+t25495+t25571+t25609+t25664; + coeff_dxz_0_p1_p1 = t24209+t23091+t23425+t24557*t25090+t25185+t25220+ +t25230+t25246+t25523+t25568; + coeff_dxz_p1_p1_p1 = ((t24531+t24665*t24853)*t24851+(RATIONAL(500.0,27.0) +*t24851+RATIONAL(200.0,27.0)*y+RATIONAL(-400.0,27.0)*t24850)*z)*x+t23910+t23917 ++t23435+t23476+t23299+t23185+(t24531+t24665*t24852)*t25432+t24996+t25034+t25676 ++t25686+t25696+t25738; + coeff_dxz_p2_p1_p1 = t25465+t24030+t23502+t25060+t25010+t24026+t23747+ +t23447+(t24546*t24852+t24641)*t25432+t24415+t25475+t25643; + coeff_dxz_p3_p1_p1 = t23736+t24325+t23183+t23744+t24592*t25090+t23745+ +t24285+t25061+t25326+t25493+t25682; + coeff_dxz_m2_p2_p1 = t24150+t24859+t24373+t24226+t23882+t23657+t24962+ +t25471+t25477; + coeff_dxz_m1_p2_p1 = t23898+t24260+t23726+t23213+t24863+t25006+t25469+ +t25491+t25650; + coeff_dxz_0_p2_p1 = t24064+t24917+t23510+t23401+t25022+t25537+t25541; + coeff_dxz_p1_p2_p1 = t23547+t24405+t24406+t23932+t23509+(RATIONAL(175.0, +27.0)*t24850+t24621*y)*t25459+t24503+t24401+t24875+t25475+t25656+t25725; + coeff_dxz_p2_p2_p1 = (t24818*t24853+t24830)*t25431+t23957+t23863+t23761+ +t23165+t24857+t23084+t24333+t25063+t25556+t25693+t25699; + coeff_dxz_p3_p2_p1 = t23418+t24119+t24017+t24931+t23701+t25509+t25572; + coeff_dxz_m2_p3_p1 = t24885+t24301+t24223+t23924+t25379+t25498+t25566; + coeff_dxz_m1_p3_p1 = t24289+t24293+t24387+t24907+t25306+t25494+t25538; + coeff_dxz_0_p3_p1 = t24102+t24939+t25276+t25543+t25621; + coeff_dxz_p1_p3_p1 = t24918+t24621*t25391+t24367+t24232+t23732+t24382+ +t24351+t25251+t25493; + coeff_dxz_p2_p3_p1 = t24208+t24179+t23902+t24924+t25294+t25509+t25564; + coeff_dxz_p3_p3_p1 = t23593+t24205+t23158+t23938+(t25272+t24574)*t25431+ +t24941+t25640; + coeff_dxz_m2_m2_p2 = t23979+t23409+t24055+t23959+t23906+t23912+t25110+ +t23411+t23413+t24861+t24985+t25518+t25670; + coeff_dxz_m1_m2_p2 = t24225+t24873+t24116+t23945+t23402+t24988+t25468+ +t25511+t25593; + coeff_dxz_0_m2_p2 = t24237+t24930+t23923+t23719+t23179+t25522+t25575+ +t25730; + coeff_dxz_p1_m2_p2 = t23907+t24111+t25463+t24279+t24346+t24884+t23243+ +t25481+t25713; + coeff_dxz_p2_m2_p2 = t23883+t24087+t23523+t24446+t25461+t24050+t24979+ +t24969+t23305+t24755*t25742+t23134+t25502+t25608; + coeff_dxz_p3_m2_p2 = t23921+t24062+t24906+t23234+t25482+t25567+t25700; + coeff_dxz_m2_m1_p2 = t23847+t23724+t24009+t24011+t24878+t24983+t25020+ +t25506+t25511; + coeff_dxz_m1_m1_p2 = t24211+t24043+t23866+t23723+t24868+t23156+(t24599+ +t24524*t24853)*t25431+t25003+t25503+t25616+t25695; + coeff_dxz_0_m1_p2 = t23718+t24276+t23873+t24926+t23548+t24270+t25525+ +t25547; + coeff_dxz_p1_m1_p2 = t23871+t23715+t24132+t23532+t24163+t25470+t24860+ +t24376+t24432+t25496+t25649; + coeff_dxz_p2_m1_p2 = t23851+t23875+t23893+t24867+(t24811*y+t24710*t24850) +*t25459+t23713+t23129+t25048+t25501+t25665+t25698; + coeff_dxz_p3_m1_p2 = t24915+t24100+t23714+t23993+t23527+t24978+t25558+ +t25723; + coeff_dxz_m2_0_p2 = (t24710*t24853+t24749)*x+t24283+t24414+(t24715+t24824 +*t24852)*z+t24880+t25013+t25033+t25575+t25578; + coeff_dxz_m1_0_p2 = (t24693*t24853+t24784)*x+t24869+(t24822+t24831*t24852 +)*z+t24264+t24403+t24998+t25015+t25547+t25549; + coeff_dxz_0_0_p2 = t23404+t23541+t24837*t25454+t24015+t23459+(t24951* +t24853+t24952)*x+t24889+t25047; + coeff_dxz_p1_0_p2 = t24872+(t24741*t24853+t24797)*x+t23987+(t24811+t24841 +*t24852)*z+t24358+t25011+t25012+t25527+t25534; + coeff_dxz_p2_0_p2 = (t24833*t25428+z+t24815*t24853+t24755)*x+(t24815* +t24852+t24755)*z+t24916+t24379+t24372+t25023+t25043+t25582+t25652+t25715; + coeff_dxz_p3_0_p2 = t24819*t25454+t24159+(t24779+t24705*t24853)*x+t24912+ +t25489+t25625+t25681; + coeff_dxz_m2_p1_p2 = t23856+t23913+t24859+t25463+t24214+t23714+t23570+ +t24379+t25466; + coeff_dxz_m1_p1_p2 = t24189+t24185+t23975+t23855+t24860+t23713+t25469+ +t24358+t25480+t25687; + coeff_dxz_0_p1_p2 = t23928+t23715+t24932+t23604+t25052+t25534+t25541; + coeff_dxz_p1_p1_p2 = t25465+t23718+t23592+t24088+t24020+t23459+t24403+( +t24641+t24546*t24853)*t25431+t24875+t25616+t25719; + coeff_dxz_p2_p1_p2 = t23865+t23859+t24345+t24414+t23109+t23723+t23779+ +t25508+t25027+t23174+t25000+t24408+(t24821*t24850+t24822*y)*t25459+t24270+ +t25556+t25660; + coeff_dxz_p3_p1_p2 = t24039+t23724+t24237+t24301+t24887+t23578+t25524+ +t25572; + coeff_dxz_m2_p2_p2 = t23922+t24213+t25461+t24253+t24089+t23893+(t24846* +t24852+t24766)*t25432+t23291+t24870+t25697+t25700; + coeff_dxz_m1_p2_p2 = t24132+t24233+t25059+t24438+t23885+t24969+t24964+( +t24817*t24852+t24825)*t25432+t23309+t25501+t23131+t25507+t25598; + coeff_dxz_0_p2_p2 = t23874+t24352+t24816*t25090+t23372+t24916+t23075+ +t25360+t25587+t25713; + coeff_dxz_p1_p2_p2 = t24336+t24211+t24004+t23848+(t24818*t24852+t24830)* +t25432+t23719+t24857+t25044+t25508+t25613+t25736; + coeff_dxz_p2_p2_p2 = t23262+t24118+t24239+t24011+t23912+(t24829*t24852+ +t24785)*t25432+t23402+t24970+t24428+t23156+((t24785+t24829*t24853)*t24851+( +t24823*t24851+t24715*y+t24712*t24850)*z)*x+t24443+t24976+t25039+t25606; + coeff_dxz_p3_p2_p2 = t23283+t24016+t23936+t24848*t25090+t24899+t23411+ +t23122+t25510+t25639; + coeff_dxz_m2_p3_p2 = t24076+t23974+t23900+t24906+t24979+t25540+t25565; + coeff_dxz_m1_p3_p2 = t24099+t24346+t24929+t25227+t25532+t25558+t25628; + coeff_dxz_0_p3_p2 = t24033+t24140+t24912+t25705+t25731; + coeff_dxz_p1_p3_p2 = t24012+t24116+t24924+t25196+t25284+t25524+t25530; + coeff_dxz_p2_p3_p2 = t23392+t23906+t23937+t23992+t23977+t24715*t25391+ +t23101+t25041+t25231+t25510+t25706; + coeff_dxz_p3_p3_p2 = t23413+t23946+(t24638+t25346)*t25431+t24938+t25329+ +t25701; + coeff_dxz_m2_m2_p3 = t23142+t23148+t24901+t23963+t23935+t23338+x*t24175+ +t25050+t25570; + coeff_dxz_m1_m2_p3 = t24223+t23642+t23140+t24934+t25273+t25499+t25551; + coeff_dxz_0_m2_p3 = t23707+t23628+t24902+t25637+t25689; + coeff_dxz_p1_m2_p3 = t23967+t23682+t23896+t23704+t24921+t24956+t25573+ +t25710; + coeff_dxz_p2_m2_p3 = t24904+t23916+t23895+t23618+t23272+t25482+t25516; + coeff_dxz_p3_m2_p3 = t23617+t23315+t24603*t25742+t24944+t25376+t25721; + coeff_dxz_m2_m1_p3 = t24096+t23466+t24019+t24934+t25169+t25492+t25529; + coeff_dxz_m1_m1_p3 = t24613*t25127+t23172+t23635+t23415+t24059+t24266+ +t23080+t25008+t25312+t25497+t25642; + coeff_dxz_0_m1_p3 = t23813+t23722+t24919+t25666+t25727; + coeff_dxz_p1_m1_p3 = t24308+t23809+t23810+t24893+t25316+t25505+t25574; + coeff_dxz_p2_m1_p3 = t24021+t23385+t24915+t23896+t23807+t25004+t25546+ +t25729; + coeff_dxz_p3_m1_p3 = t23620+t23388+(t25451+t25304)*t25459+t24942+t25629+ +t25726; + coeff_dxz_m2_0_p3 = t24755*t25417+(t24766*t24852+t24760)*z+t24909+t25038+ +t25343+t25637+t25691; + coeff_dxz_m1_0_p3 = t24178+t24801*t25417+(t24804+t24777*t24852)*z+t24896+ +t25519+t25618+t25727; + coeff_dxz_0_0_p3 = t25083+t23803+t24954*t25417+t24910+t25590; + coeff_dxz_p1_0_p3 = t24123+t25092+(t24842+t24811*t24852)*z+t24913+t24997+ +t25521+t25704; + coeff_dxz_p2_0_p3 = t24247+t24819*t25417+(t24705*t24852+t24779)*z+t24920+ +t25489+t25591+t25592; + coeff_dxz_p3_0_p3 = t25080+(t24785*t24853+(t24749+t24465)*z)*x+t24943+ +t25673+t25684; + coeff_dxz_m2_p1_p3 = t23388+t24247+t23950+t23701+t24886+t25238+t25498+ +t25710; + coeff_dxz_m1_p1_p3 = t24123+t23385+t24193+t23696+t24893+t25483+t25494; + coeff_dxz_0_p1_p3 = t23809+t23840+t24935+t25621+t25704; + coeff_dxz_p1_p1_p3 = t24918+t24244+t24178+t23837+t23803+t23722+t24853* +t25122+t25312+t25651+t25682; + coeff_dxz_p2_p1_p3 = t23415+t24887+t24113+t23828+t25564+t25589+t25661; + coeff_dxz_p3_p1_p3 = t23649+t23684+(t25437+t24482)*t25459+t24941+t25169+ +t25633; + coeff_dxz_m2_p2_p3 = t24904+t24021+t23319+t25376+t25565+t25581+t25737; + coeff_dxz_m1_p2_p3 = t23610+t24103+t24936+t23272+t25238+t25316+t25532+ +t25729; + coeff_dxz_0_p2_p3 = t23682+t23598+t24911+t25591+t25731; + coeff_dxz_p1_p2_p3 = t24108+t24300+t24059+t24931+t23707+t23689+t25530+ +t25589; + coeff_dxz_p2_p2_p3 = t24096+t23694+t24848*t25127+t23963+t24899+t23398+ +t23140+t23080+t24991+t25706; + coeff_dxz_p3_p2_p3 = t23298+t23406+t23148+(t25427+t25269)*t25459+t24972+ +t25635+t25701; + coeff_dxz_m2_p3_p3 = t24098+t23327+t23895+(t25278+t24608)*t25432+t24967+ +t25610+t25721; + coeff_dxz_m1_p3_p3 = t23967+t23614+(t25226+t24640)*t25432+t24942+t25264+ +t25614; + coeff_dxz_0_p3_p3 = t23175+t23634+z*t24221+t23343+t25290+t25673; + coeff_dxz_p1_p3_p3 = t23655+t23158+t23157+t24175+(t24574+t25288)*t25432+ +t25257+t25273+t25633; + coeff_dxz_p2_p3_p3 = t23653+t23935+(t24638+t25362)*t25432+t24938+t25355+ +t25635; + coeff_dxz_p3_p3_p3 = z*t23921+t23145+t23142+(t23916+(t25336+t25197)*z)*x+ +t25300; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-dy.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-dy.compute.c new file mode 100644 index 0000000..7dc9076 --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-dy.compute.c @@ -0,0 +1,4279 @@ +fp t14454, + t14455, + t15061, + t14457, + t14456, + t15054, + t14825, + t14453, + t14201, + t14955, + t14386, + t14941, + t15406, + t14437, + t14930, + t14417, + t14947, + t15405, + t14433, + t14913, + t14451, + t14884, + t15404, + t14934, + t14816, + t15059, + t15029, + t15403, + t14316, + t14920, + t14149, + t14959, + t14599, + t15402, + t15041, + t15037, + t14855, + t14764, + t15401, + t15400, + t14826, + t14424, + t14592, + t14414, + t14944, + t14582, + t13587, + t15399, + t14704, + t15398, + t14306, + t14918, + t13832, + t14379, + t14043, + t13304, + t15397, + t14219, + t14981, + t14598, + t14352, + t15042, + t14795, + t15396, + t14253, + t14883, + t14671, + t13051, + t14304, + t14886, + t14581, + t15395, + t14312, + t15038, + t14012, + t15039, + t15394, + t14355, + t14974, + t14817, + t14956, + t14781, + t14401, + t13236, + t15393, + t14669, + t14252, + t14901, + t14805, + t12959, + t15392, + t14397, + t14448, + t14836, + t15391, + t14348, + t15390, + t14215, + t13766, + t13135, + t14332, + t15389, + t14090, + t14265, + t13794, + t13122, + t15388, + t14279, + t13838, + t14305, + t14971, + t14578, + t13019, + t15387, + t14449, + t15052, + t14809, + t13623, + t14415, + t14858, + t14602, + t15386, + t14363, + t13931, + t13482, + t14263, + t15051, + t14765, + t15385, + t14280, + t14827, + t13854, + t15384, + t14314, + t14026, + t13214, + t14288, + t14924, + t13735, + t13014, + t15383, + t14105, + t14579, + t15382, + t14330, + t13310, + t15031, + t14146, + t15381, + t14371, + t13436, + t14206, + t14606, + t15380, + t14392, + t14820, + t13349, + t14173, + t14684, + t15379, + t14350, + t14383, + t14978, + t13992, + 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t13345, + t13342, + t13341, + t13338, + t13335, + t13332, + t13329, + t13325, + t13320, + t13312, + t13311, + t13309, + t13306, + t13305, + t13295, + t13290, + t13286, + t13284, + t13283, + t13281, + t13278, + t13276, + t13273, + t13271, + t13265, + t13263, + t13257, + t13255, + t13254, + t13253, + t13245, + t13243, + t13240, + t13239, + t13235, + t13223, + t13222, + t13219, + t13217, + t13207, + t13201, + t13200, + t13196, + t13195, + t13188, + t13186, + t13183, + t13180, + t13176, + t13159, + t13154, + t13149, + t13146, + t13145, + t13142, + t13141, + t13140, + t13137, + t13131, + t13128, + t13113, + t13107, + t13102, + t13097, + t13095, + t13093, + t13088, + t13084, + t13081, + t13078, + t13071, + t13069, + t13068, + t13062, + t13057, + t13050, + t13047, + t13037, + t13032, + t13025, + t13015, + t13005, + t13004, + t13001, + t12998, + t12996, + t12995, + t12990, + t12989, + t12987, + t12983, + t12979, + t12976, + t12974, + t12972, + t12963, + t12958, + t12952, + t12950, + t12945, + t12940, + t12936, + t12926, + t12925, + t12923, + t12917, + t12902, + t12896, + t12894, + t12893, + t12890, + t12888, + t12882, + t12878, + t12869, + t12868, + t12866, + t12865, + t12861, + t12860, + t12855, + t12854, + t12853, + t12851, + t12850, + t12845, + t12833, + t12821, + t12820, + t12819, + t12810, + t12804, + t12797, + t12796, + t12790, + t12780, + t12777, + t12773, + t12767, + t12761, + t12760, + t12746, + t12744, + t12733, + t12729, + t12727, + t12725, + t12722, + t12720, + t12717, + t12707, + t12700, + t12697, + t12691, + t12682, + t12681, + t12676, + t12674, + t12670, + t12668, + t12657, + t12647, + t12646, + t12644, + t12643, + t12640, + t12636; + t14454 = x*x; + t14455 = x*t14454; + t15061 = t14455+x; + t14457 = z*z; + t14456 = t14457*z; + t15054 = t14456+z; + t14825 = y*t15061; + t14453 = y*y; + t14201 = RATIONAL(-7.0,144.0); + t14955 = t14453*t14201; + t14386 = RATIONAL(1.0,48.0); + t14941 = t14386*t14453; + t15406 = t14941+t14457*t14955; + t14437 = RATIONAL(1.0,3.0); + t14930 = t14453*t14437; + t14417 = RATIONAL(-7.0,9.0); + t14947 = t14453*t14417; + t15405 = t14457*t14947+t14930; + t14433 = RATIONAL(-1.0,3.0); + t14913 = t14433*t14453; + t14451 = RATIONAL(7.0,9.0); + t14884 = t14451*t14453; + t15404 = t14457*t14884+t14913; + t14934 = t14457*t14455; + t14816 = y*t14934; + t15059 = y*t14457; + t15029 = x*t15059; + t15403 = t14816+t15029; + t14316 = RATIONAL(7.0,48.0); + t14920 = t14316*t14453; + t14149 = RATIONAL(-49.0,144.0); + t14959 = t14454*t14453; + t14599 = t14149*t14959; + t15402 = t14599+t14920; + t15041 = y*t14454; + t15037 = z*t15041; + t14855 = t14454*t14456; + t14764 = y*t14855; + t15401 = t14764+t15037; + t15400 = t14913+t14454*t14884; + t14826 = y*t15054; + t14424 = RATIONAL(-5.0,9.0); + t14592 = t14424*t14959; + t14414 = RATIONAL(4.0,9.0); + t14944 = t14414*t14455; + t14582 = t14453*t14944; + t13587 = z*t14582; + t15399 = z*t14592+t13587; + t14704 = t14453*t14855; + t15398 = t14456*t14930+t14417*t14704; + t14306 = RATIONAL(35.0,72.0); + t14918 = t14306*t14457; + t13832 = t14455*t14918; + t14379 = RATIONAL(-7.0,36.0); + t14043 = t14379*t14855; + t13304 = t14453*t14043; + t15397 = t13304+y*t13832; + t14219 = RATIONAL(35.0,36.0); + t14981 = t14454*t14457; + t14598 = t14219*t14981; + t14352 = RATIONAL(-8.0,27.0); + t15042 = y*t14456; + t14795 = t14352*t15042; + t15396 = t14455*t14795+t14453*t14598; + t14253 = RATIONAL(7.0,576.0); + t14883 = t14253*t14453; + t14671 = t14455*t14883; + t13051 = z*t14671; + t14304 = RATIONAL(-7.0,288.0); + t14886 = t14304*t14457; + t14581 = t14453*t14886; + t15395 = t13051+t14455*t14581; + t14312 = RATIONAL(-70.0,9.0); + t15038 = y*t14312; + t14012 = t14457*t15038; + t15039 = y*RATIONAL(-35.0,6.0); + t15394 = t14457*t15039+t14455*t14012; + t14355 = RATIONAL(-40.0,9.0); + t14974 = t14453*t14457; + t14817 = x*t14974; + t14956 = t14456*t14453; + t14781 = x*t14956; + t14401 = RATIONAL(32.0,9.0); + t13236 = t14401*t14781; + t15393 = t14355*t14817+t13236; + t14669 = t14457*t14959; + t14252 = RATIONAL(98.0,27.0); + t14901 = t14456*t14455; + t14805 = y*t14901; + t12959 = t14252*t14805; + t15392 = t12959+RATIONAL(-35.0,3.0)*t14669; + t14397 = RATIONAL(-49.0,9.0); + t14448 = RATIONAL(7.0,3.0); + t14836 = t14453*t14448; + t15391 = t14456*t14836+t14397*t14704; + t14348 = RATIONAL(28.0,9.0); + t15390 = t14448*t15059+t14348*t14816; + t14215 = RATIONAL(-14.0,27.0); + t13766 = t14215*t14901; + t13135 = y*t13766; + t14332 = RATIONAL(14.0,9.0); + t15389 = t13135+t14332*t14669; + t14090 = t14417*t14981; + t14265 = RATIONAL(14.0,27.0); + t13794 = t14265*t14901; + t13122 = y*t13794; + t15388 = t14453*t14090+t13122; + t14279 = RATIONAL(5.0,288.0); + t13838 = t14279*t14981; + t14305 = RATIONAL(-7.0,576.0); + t14971 = t14453*t14455; + t14578 = t14305*t14971; + t13019 = t14456*t14578; + t15387 = t13019+y*t13838; + t14449 = RATIONAL(2.0,9.0); + t15052 = z*t14453; + t14809 = t14449*t15052; + t13623 = t14455*t14809; + t14415 = RATIONAL(5.0,9.0); + t14858 = t14457*t14415; + t14602 = t14453*t14858; + t15386 = t13623+t14455*t14602; + t14363 = RATIONAL(1.0,36.0); + t13931 = t14363*t14855; + t13482 = t14453*t13931; + t14263 = RATIONAL(-5.0,216.0); + t15051 = y*t14263; + t14765 = t14455*t15051; + t15385 = t13482+t14457*t14765; + t14280 = RATIONAL(-1.0,216.0); + t14827 = t14280*t14456; + t13854 = t14455*t14827; + t15384 = t14279*t14805+t13854; + t14314 = RATIONAL(-1.0,36.0); + t14026 = t14314*t14855; + t13214 = t14453*t14026; + t14288 = RATIONAL(7.0,216.0); + t14924 = t14455*t14288; + t13735 = t14457*t14924; + t13014 = y*t13735; + t15383 = t13214+t13014; + t14105 = t14201*t14456; + t14579 = t14454*t14105; + t15382 = t14453*t14579+t14456*t14941; + t14330 = RATIONAL(7.0,36.0); + t13310 = t14330*t14781; + t15031 = x*t15042; + t14146 = RATIONAL(-35.0,216.0); + t15381 = t13310+t14146*t15031; + t14371 = RATIONAL(1.0,72.0); + t13436 = t14371*t14781; + t14206 = RATIONAL(5.0,144.0); + t14606 = t14206*t14959; + t15380 = t13436+t14456*t14606; + t14392 = RATIONAL(7.0,72.0); + t14820 = t14392*t15052; + t13349 = t14455*t14820; + t14173 = RATIONAL(35.0,144.0); + t14684 = t14453*t14934; + t15379 = t13349+t14173*t14684; + t14350 = RATIONAL(-5.0,72.0); + t14383 = RATIONAL(1.0,27.0); + t14978 = t14456*t14383; + t13992 = x*t14978; + t15378 = t13992+t14350*t14855; + t14617 = t14453*t14901; + t13544 = t14330*t14617; + t14823 = y*t14981; + t14298 = RATIONAL(-25.0,36.0); + t15377 = t13544+t14298*t14823; + t14245 = RATIONAL(1.0,864.0); + t15065 = z*t14455; + t14156 = RATIONAL(-1.0,1728.0); + t13727 = t14156*t15065; + t15376 = t13727+t14245*t14934; + t14317 = RATIONAL(1.0,18.0); + t14023 = t14317*t14855; + t13472 = t14453*t14023; + t14282 = RATIONAL(-7.0,216.0); + t14870 = t14282*t14457; + t15068 = x*y; + t15375 = t13472+t14870*t15068; + t13900 = t14363*t14934; + t13232 = t14453*t13900; + t15374 = t13232+t14263*t14764; + t14157 = RATIONAL(49.0,576.0); + t14647 = t14157*t14956; + t12678 = x*t14647; + t14186 = RATIONAL(-49.0,288.0); + t15373 = t12678+t14186*t14704; + t14209 = RATIONAL(16.0,27.0); + t15050 = x*t14456; + t13767 = t14209*t15050; + t14246 = RATIONAL(80.0,27.0); + t15372 = t13767+t14246*t15031; + t14851 = t14330*t14457; + t13977 = t14455*t14851; + t13376 = t14453*t13977; + t15371 = t13376+y*t14043; + t14289 = RATIONAL(-7.0,108.0); + t14837 = t14289*t14457; + t13851 = t14455*t14837; + t15370 = t13482+y*t13851; + t14174 = RATIONAL(49.0,144.0); + t14935 = t14174*t14453; + t14608 = t14454*t14935; + t14318 = RATIONAL(-7.0,48.0); + t15369 = t14456*t14608+t14318*t14956; + t13382 = t14379*t14781; + t14443 = RATIONAL(-7.0,6.0); + t15368 = t13382+t14443*t14704; + t14164 = RATIONAL(-35.0,192.0); + t15367 = t13349+t14164*t14684; + t14413 = RATIONAL(-1.0,9.0); + t14131 = t14413*t14456; + t14315 = RATIONAL(7.0,27.0); + t14841 = t14315*t14456; + t15366 = t14454*t14841+t14131; + t14216 = RATIONAL(1.0,108.0); + t14853 = t14456*t14216; + t13825 = t14455*t14853; + t14446 = RATIONAL(1.0,9.0); + t14130 = t14446*t14456; + t14780 = y*t14130; + t15365 = t13825+t14455*t14780; + t14204 = RATIONAL(35.0,54.0); + t13763 = t14204*t14855; + t15364 = t13763+t13766; + t14351 = RATIONAL(-7.0,96.0); + t14998 = t14305*t14453; + t14753 = z*t14998; + t12812 = x*t14753; + t15363 = t14351*t14817+t12812; + t14337 = RATIONAL(7.0,18.0); + t14667 = t14337*t14959; + t14441 = RATIONAL(-1.0,6.0); + t14898 = t14441*t14453; + t14059 = z*t14898; + t15362 = z*t14667+t14059; + t14384 = RATIONAL(-5.0,54.0); + t14380 = RATIONAL(2.0,27.0); + t14889 = t14380*t14456; + t13945 = x*t14889; + t15063 = x*t14457; + t15361 = t14384*t15063+t13945; + t14273 = RATIONAL(-1.0,108.0); + t14865 = t14454*t14273; + t14268 = RATIONAL(1.0,216.0); + t15064 = z*t14268; + t13776 = t14455*t15064; + t15360 = t13776+z*t14865; + t14226 = RATIONAL(7.0,864.0); + t14148 = RATIONAL(-7.0,1728.0); + t14876 = t14456*t14148; + t13717 = t14455*t14876; + t15359 = t14226*t14855+t13717; + t14411 = RATIONAL(8.0,3.0); + t14888 = t14411*t14453; + t14801 = z*t14959; + t14407 = RATIONAL(-56.0,9.0); + t15358 = t14407*t14801+z*t14888; + t14881 = t14282*t14455; + t13805 = t14456*t14881; + t14162 = RATIONAL(35.0,288.0); + t14743 = t14162*t15042; + t15357 = t13805+t14455*t14743; + t15356 = t13805+t14146*t14805; + t14225 = RATIONAL(70.0,27.0); + t15355 = t14225*t14805+t13794; + t14344 = RATIONAL(-5.0,12.0); + t14679 = t14344*t14974; + t15354 = t13623+t14455*t14679; + t14127 = t14446*t14455; + t14405 = RATIONAL(-7.0,27.0); + t15353 = t14127+t14405*t14934; + t14118 = t14317*t14456; + t14373 = RATIONAL(-7.0,54.0); + t15352 = t14118+t14373*t14855; + t14232 = RATIONAL(-1.0,576.0); + t14594 = t14232*t14959; + t14242 = RATIONAL(1.0,432.0); + t14778 = t14242*t15059; + t15351 = t14456*t14594+t14455*t14778; + t14331 = RATIONAL(7.0,12.0); + t14234 = RATIONAL(-49.0,72.0); + t12937 = t14234*t14781; + t15350 = t14331*t14817+t12937; + t15040 = t14273*x; + t13798 = t14268*t15050; + t15349 = t14457*t15040+t13798; + t14203 = RATIONAL(-28.0,27.0); + t15348 = t14203*t15063+t14414*x; + t14135 = t14414*z; + t15049 = z*t14454; + t15347 = t14135+t14203*t15049; + t14120 = t14337*t14455; + t14260 = RATIONAL(-49.0,54.0); + t15346 = t14120+t14260*t14934; + t14309 = RATIONAL(-1.0,18.0); + t14122 = t14309*t14455; + t13986 = t14457*t14122; + t14821 = t14363*t15052; + t13423 = t14455*t14821; + t15345 = t14453*t13986+t13423; + t13517 = x*t14821; + t14613 = t14309*t14959; + t15344 = t13517+z*t14613; + t13811 = t14209*t15065; + t14313 = RATIONAL(-10.0,9.0); + t15343 = t14313*t14934+t13811; + t14104 = t14201*t14455; + t14191 = RATIONAL(49.0,432.0); + t15342 = t14104+t14191*t14934; + t14852 = t14260*t14454; + t14121 = t14337*t14456; + t15341 = t14456*t14852+t14121; + t13925 = t14379*t14934; + t14923 = t14330*t14454; + t14635 = t14453*t14923; + t13299 = t14456*t14635; + t15340 = t13299+y*t13925; + t14255 = RATIONAL(-35.0,18.0); + t15070 = x*z; + t13626 = t14947*t15070; + t15339 = t13626+t14255*t14817; + t15338 = t15406*x; + t14262 = RATIONAL(25.0,96.0); + t14178 = RATIONAL(-49.0,576.0); + t12772 = t14178*t14617; + t15337 = t14262*t14823+t12772; + t14361 = RATIONAL(1.0,54.0); + t14997 = t14361*t14455; + t14782 = y*t14997; + t13211 = t14456*t14782; + t14368 = RATIONAL(-7.0,72.0); + t14584 = t14368*t14959; + t15336 = t13211+t14457*t14584; + t14954 = RATIONAL(-5.0,192.0)*t14453; + t14587 = t14457*t14954; + t12960 = t14226*t14805; + t15335 = t14454*t14587+t12960; + t15045 = t14216*z; + t13831 = t14455*t15045; + t14362 = RATIONAL(-1.0,27.0); + t15053 = z*t14362; + t14038 = t14455*t15053; + t15334 = t13831+y*t14038; + t14958 = t14424*t14457; + t14057 = x*t14958; + t14925 = t14414*t14456; + t14607 = t14453*t14925; + t13591 = x*t14607; + t15333 = t14453*t14057+t13591; + t14160 = RATIONAL(-35.0,576.0); + t13631 = RATIONAL(49.0,1728.0)*t14901; + t15332 = t13631+t14160*t14934; + t14357 = RATIONAL(49.0,9.0); + t14949 = t14453*RATIONAL(-7.0,3.0); + t15331 = t14456*t14949+t14357*t14704; + t15044 = x*t14280; + t13733 = z*t15044; + t14375 = RATIONAL(5.0,72.0); + t14952 = t14454*t14375; + t13906 = t14457*t14952; + t15330 = t13733+y*t13906; + t14922 = t14362*t14456; + t13964 = x*t14922; + t14358 = RATIONAL(5.0,36.0); + t15062 = y*t14358; + t15023 = x*t15062; + t15329 = t13964+t14456*t15023; + t13862 = z*t14924; + t14963 = t14350*t14454; + t15328 = t13862+z*t14963; + t14083 = t14454*t14858; + t15327 = t13135+t14453*t14083; + t14341 = RATIONAL(-2.0,27.0); + t14980 = t14341*t14456; + t14033 = x*t14980; + t14390 = RATIONAL(5.0,54.0); + t15326 = t14033+t14390*t15063; + t14181 = RATIONAL(35.0,192.0); + t14658 = t14181*t14974; + t14872 = t14453*t14178; + t14683 = t14456*t14872; + t12782 = x*t14683; + t15325 = x*t14658+t12782; + t15002 = t14456*t14405; + t13980 = x*t15002; + t14224 = RATIONAL(-35.0,54.0); + t13858 = t14224*t14855; + t15324 = t13980+t13858; + t14874 = t14383*t14455; + t13997 = z*t14874; + t15323 = t13997+t14350*t14934; + t14422 = RATIONAL(-2.0,9.0); + t13672 = t14422*t14781; + t14398 = RATIONAL(5.0,12.0); + t14871 = t14454*t14398; + t14663 = t14453*t14871; + t15322 = t14456*t14663+t13672; + t14783 = t14422*t15052; + t13673 = x*t14783; + t14377 = RATIONAL(5.0,27.0); + t15069 = y*z; + t15036 = t14377*t15069; + t15321 = t13673+x*t15036; + t14179 = RATIONAL(245.0,72.0); + t14342 = RATIONAL(35.0,9.0); + t14807 = t14342*t15041; + t15320 = z*t14807+t14179*t14764; + t13554 = t14392*t14781; + t15319 = t13554+t14164*t14704; + t13801 = x*t14853; + t14328 = RATIONAL(-1.0,54.0); + t15318 = t14328*t14855+t13801; + t14294 = RATIONAL(1.0,576.0); + t14864 = t14294*t14453; + t14808 = z*t14864; + t12994 = x*t14808; + t14345 = RATIONAL(1.0,96.0); + t14622 = t14345*t14974; + t15317 = t12994+x*t14622; + t14283 = RATIONAL(7.0,108.0); + t14842 = t14456*t14283; + t13883 = t14455*t14842; + t14182 = RATIONAL(-35.0,432.0); + t15316 = t13883+t14182*t14855; + t14217 = RATIONAL(35.0,48.0); + t14761 = t14373*t15042; + t13266 = t14455*t14761; + t15315 = t14217*t14669+t13266; + t13837 = x*t14827; + t14859 = t14216*t14457; + t15314 = x*t14859+t13837; + t14429 = RATIONAL(8.0,9.0); + t14129 = t14429*t14455; + t14237 = RATIONAL(-56.0,27.0); + t15313 = t14129+t14237*t14934; + t13736 = RATIONAL(32.0,27.0)*t14901; + t14202 = RATIONAL(-40.0,27.0); + t15312 = t13736+t14202*t14855; + t14589 = t14232*t14971; + t15311 = t14457*t14589+t14242*t14764; + t14213 = RATIONAL(-49.0,27.0); + t13675 = t14456*t14582; + t15310 = t14213*t14823+t13675; + t13519 = t14363*t14781; + t15309 = t14456*t14613+t13519; + t14404 = RATIONAL(7.0,54.0); + t15308 = t14404*t14934+t14122; + t13809 = x*t15064; + t14372 = RATIONAL(5.0,24.0); + t13990 = t14372*t15059; + t13537 = t14454*t13990; + t15307 = t13809+t13537; + t14247 = RATIONAL(25.0,54.0); + t14435 = RATIONAL(-4.0,9.0); + t13648 = t14435*t14617; + t15306 = t14247*t14823+t13648; + t13582 = t14435*t14781; + t15305 = x*t14602+t13582; + t15005 = t14318*t14453; + t15304 = (t14608+t15005)*z; + t14292 = RATIONAL(1.0,144.0); + t14912 = t14292*t14457; + t14796 = y*t14912; + t14672 = t14305*t14956; + t13152 = t14454*t14672; + t15303 = t14455*t14796+t13152; + t14107 = t14292*t14455; + t14220 = RATIONAL(-7.0,432.0); + t14834 = t14220*t14455; + t13774 = t14457*t14834; + t15302 = t14107+t13774; + t15301 = t14375*t14934+t14038; + t14891 = t14398*t14453; + t14621 = t14457*t14891; + t14188 = RATIONAL(-49.0,216.0); + t14835 = t14456*t14188; + t13714 = t14455*t14835; + t12757 = y*t13714; + t15300 = t14454*t14621+t12757; + t14259 = RATIONAL(5.0,108.0); + t14790 = t14259*t15059; + t15299 = t13214+t14455*t14790; + t13166 = t14883*t15070; + t15298 = t13166+x*t14581; + t15048 = t14383*x; + t14008 = z*t15048; + t15297 = t14008+RATIONAL(-25.0,27.0)*t14823; + t14391 = RATIONAL(-4.0,27.0); + t14857 = t14391*t14455; + t14010 = t14456*t14857; + t15296 = t14010+t14377*t14934; + t14830 = t14220*t14456; + t13818 = t14454*t14830; + t14110 = t14292*t14456; + t15295 = t13818+t14110; + t14269 = RATIONAL(49.0,48.0); + t14140 = RATIONAL(-343.0,144.0); + t15294 = t14140*t14684+t14269*t14971; + t14211 = RATIONAL(49.0,36.0); + t12939 = t14211*t14617; + t15293 = t14443*t14823+t12939; + t15292 = t14269*t14956+t14140*t14704; + t13680 = RATIONAL(-49.0,1728.0)*t14901; + t14176 = RATIONAL(35.0,576.0); + t15291 = t14176*t14855+t13680; + t14334 = RATIONAL(-1.0,12.0); + t13937 = t14334*t15059; + t12714 = t14157*t14617; + t15290 = t12714+t14454*t13937; + t14583 = t14454*t14955; + t15289 = (t14941+t14583)*z; + t15288 = t15402*t14456; + t14862 = t14373*t14457; + t14123 = t14317*t14455; + t15287 = t14455*t14862+t14123; + t14819 = t14371*t15052; + t13446 = x*t14819; + t15027 = t14328*t15069; + t15286 = x*t15027+t13446; + t14374 = RATIONAL(-7.0,18.0); + t14434 = RATIONAL(1.0,6.0); + t14903 = t14434*t14453; + t14074 = z*t14903; + t15285 = t14074+t14374*t14801; + t14109 = t14292*z; + t15284 = t14220*t15049+t14109; + t13021 = z*t14578; + t15283 = t13021+t14351*t14684; + t14661 = t14337*t14974; + t15282 = (t14898+t14661)*x; + t15281 = t14434*t14684+t13423; + t14189 = RATIONAL(49.0,216.0); + t13691 = t14189*t14901; + t12759 = y*t13691; + t14631 = t14457*t14898; + t15280 = t12759+t14454*t14631; + t13711 = x*t14876; + t14218 = RATIONAL(5.0,576.0); + t15279 = t14218*t15063+t13711; + t14939 = t14314*t14457; + t13901 = t14454*t14939; + t15046 = x*t14156; + t13708 = z*t15046; + t15278 = t13708+y*t13901; + t14159 = RATIONAL(7.0,1728.0); + t13722 = t14159*t15050; + t14251 = RATIONAL(-7.0,864.0); + t15277 = t14251*t14855+t13722; + t14229 = RATIONAL(-49.0,18.0); + t14420 = RATIONAL(7.0,6.0); + t14848 = t14453*t14420; + t15276 = x*t14848+t14229*t14817; + t14243 = RATIONAL(-16.0,27.0); + t13768 = t14243*t15065; + t14238 = RATIONAL(20.0,27.0); + t15275 = t14238*t15049+t13768; + t13725 = t14156*t14901; + t14297 = RATIONAL(-1.0,144.0); + t14111 = t14297*t14456; + t14746 = y*t14111; + t15274 = t14455*t14746+t13725; + t14908 = t14220*t14457; + t15273 = (t14292+t14908)*x; + t15272 = RATIONAL(224.0,27.0)*t14805+RATIONAL(-140.0,9.0)*t14669; + t15271 = t15404*t14455; + t13924 = t14330*t14855; + t15270 = t13924+t13714; + t14210 = RATIONAL(-35.0,27.0); + t13974 = t14405*t15065; + t15016 = y*t15065; + t15269 = t14210*t15016+t13974; + t14307 = RATIONAL(40.0,9.0); + t14325 = RATIONAL(-32.0,9.0); + t14824 = z*t14971; + t13539 = t14325*t14824; + t15268 = t14307*t14801+t13539; + t13773 = t14288*t15050; + t15267 = x*t14939+t13773; + t14212 = RATIONAL(-5.0,288.0); + t13101 = t14457*t14671; + t15266 = t14212*t14764+t13101; + t14896 = t14273*t14455; + t13808 = z*t14896; + t14270 = RATIONAL(5.0,432.0); + t14879 = t14270*t14454; + t15265 = t13808+z*t14879; + t13430 = t14314*t14617; + t14228 = RATIONAL(5.0,216.0); + t14929 = t14454*t14228; + t13786 = t14457*t14929; + t15264 = t13430+y*t13786; + t14787 = y*t14978; + t13429 = t14455*t14787; + t15263 = t14454*t14908+t13429; + t14200 = RATIONAL(35.0,18.0); + t13622 = t14884*t15070; + t15262 = t13622+t14200*t14817; + t15261 = t13382+t14456*t14667; + t14387 = RATIONAL(-7.0,24.0); + t13251 = t14404*t14805; + t15260 = t13251+t14387*t14669; + t14655 = t14157*t14971; + t12706 = z*t14655; + t15259 = t12706+t14186*t14684; + t14917 = t14413*t14453; + t13656 = t14917*t15070; + t15258 = t13656+t14372*t14817; + t14302 = RATIONAL(-112.0,9.0); + t14839 = t14453*RATIONAL(16.0,3.0); + t15257 = t14455*t14839+t14302*t14684; + t15017 = x*t15052; + t13625 = t14446*t15017; + t14395 = RATIONAL(-5.0,24.0); + t15256 = t13625+t14395*t14801; + t14115 = t14309*z; + t15028 = y*t14115; + t13551 = x*t14820; + t15255 = t13551+x*t15028; + t13401 = t14455*t14819; + t14869 = t14206*t14457; + t14580 = t14455*t14869; + t15254 = t13401+t14453*t14580; + t12807 = t14251*t14805; + t15253 = t14454*t14622+t12807; + t15252 = t14149*t14684+t14455*t14920; + t13300 = t14348*t14617; + t14335 = RATIONAL(-25.0,9.0); + t14785 = t14335*t15059; + t15251 = t14454*t14785+t13300; + t14418 = RATIONAL(-8.0,9.0); + t14132 = t14418*t14456; + t14227 = RATIONAL(56.0,27.0); + t15250 = t14132+t14227*t14855; + t14596 = t14457*t14935; + t15249 = t14318*t14971+t14455*t14596; + t13976 = x*t15053; + t15248 = t13976+RATIONAL(-25.0,16.0)*t14823; + t13822 = t14306*t14855; + t13375 = t14453*t13925; + t15247 = y*t13822+t13375; + t14198 = RATIONAL(1.0,1728.0); + t13706 = t14198*t15065; + t15246 = t13706+t14107*t15069; + t14114 = t14309*t14456; + t15245 = t14114+t14404*t14855; + t14850 = t14454*t14384; + t13965 = t14455*t14889; + t15244 = t14456*t14850+t13965; + t14577 = t14415*t14959; + t14136 = t14435*z; + t14789 = t14453*t14136; + t13603 = t14455*t14789; + t15243 = z*t14577+t13603; + t15242 = (t15005+t14596)*x; + t13913 = x*t14841; + t15055 = t14422*x; + t14099 = t14457*t15055; + t15241 = t13913+t14099; + t15240 = t15406*t14455; + t12645 = RATIONAL(-343.0,576.0)*t14617; + t15239 = t12645+RATIONAL(5.0,8.0)*t14823; + t12946 = t14234*t14824; + t15238 = t12946+t14120*t15069; + t14221 = RATIONAL(-98.0,27.0); + t12910 = t14221*t14805; + t15237 = t12910+RATIONAL(14.0,3.0)*t14669; + t14962 = t14314*t14453; + t14759 = z*t14962; + t13501 = x*t14759; + t15057 = y*t14228; + t15236 = t13501+t15057*t15070; + t14389 = RATIONAL(-1.0,72.0); + t14822 = t14389*t15052; + t13403 = x*t14822; + t15025 = t14361*t15068; + t15235 = t13403+z*t15025; + t13778 = t14268*t14901; + t14797 = t14455*t15057; + t15234 = t13778+t14456*t14797; + t14831 = t14204*t14457; + t13751 = t14455*t14831; + t14075 = t14435*t14855; + t15233 = y*t13751+t14453*t14075; + t14847 = t14454*t14390; + t14875 = t14341*t14455; + t13896 = z*t14875; + t15232 = t13896+z*t14847; + t15231 = t15405*t14455; + t14084 = t14435*t14934; + t15230 = y*t13763+t14453*t14084; + t13668 = x*t14809; + t14410 = RATIONAL(-5.0,27.0); + t15020 = t14410*t15068; + t15229 = t13668+z*t15020; + t14966 = t14374*t14457; + t14609 = t14453*t14966; + t14085 = x*t14903; + t15228 = t14085+x*t14609; + t13849 = t14288*t14901; + t14177 = RATIONAL(35.0,216.0); + t14804 = t14177*t15042; + t15227 = t13849+t14455*t14804; + t13842 = t14289*t14855; + t15226 = t13232+y*t13842; + t14868 = t14159*t14455; + t13709 = z*t14868; + t14249 = RATIONAL(-1.0,288.0); + t14942 = t14249*t14454; + t15225 = t13709+z*t14942; + t15224 = t14374*t15041+t14215*t14764; + t14339 = RATIONAL(20.0,3.0); + t13260 = t14325*t14781; + t15223 = t13260+t14339*t14704; + t15222 = t14350*t15063+t13773; + t14409 = RATIONAL(4.0,27.0); + t14838 = t14409*t14455; + t14028 = t14456*t14838; + t15221 = t14028+t14410*t14855; + t13871 = t14282*t15050; + t15220 = t13871+t14375*t15063; + t14660 = t14173*t14959; + t15219 = t14456*t14660+t13554; + t14840 = t14317*t14457; + t13962 = t14455*t14840; + t13418 = t14453*t13962; + t15014 = t14282*t15069; + t15218 = t13418+t14454*t15014; + t13744 = t14456*t15040; + t15217 = t14270*t15063+t13744; + t14300 = RATIONAL(1.0,288.0); + t14921 = t14300*t14454; + t13770 = t14457*t14921; + t15216 = t13770+t14351*t14669; + t14327 = RATIONAL(56.0,9.0); + t14412 = RATIONAL(-8.0,3.0); + t14985 = t14453*t14412; + t15215 = x*t14985+t14327*t14817; + t14235 = RATIONAL(40.0,27.0); + t15067 = z*t15068; + t14349 = RATIONAL(-16.0,9.0); + t13293 = t14349*t15017; + t15214 = t14235*t15067+t13293; + t14932 = t14224*t14457; + t13859 = t14455*t14932; + t14742 = y*t14932; + t15213 = x*t14742+t14429*t14704+y*t13859; + t12741 = t14455*t14658; + t14175 = RATIONAL(-35.0,288.0); + t14388 = RATIONAL(-5.0,36.0); + t15035 = t14388*t15069; + t13512 = t14454*t15035; + t15212 = t12741+t14175*t14764+t13512; + t13921 = t14457*t14847; + t15211 = t13430+t13809+y*t13921; + t12739 = t14181*t14704; + t15066 = y*t14455; + t14788 = t14175*t15066; + t14969 = t14457*t14388; + t13272 = t14969*t15068; + t15210 = t14457*t14788+t12739+t13272; + t14365 = RATIONAL(16.0,9.0); + t14161 = RATIONAL(35.0,108.0); + t15209 = RATIONAL(-245.0,36.0)*t14669+t14161*t14981+t14365*t14805; + t13698 = t14173*t14981; + t13600 = t14451*t14805; + t15208 = RATIONAL(-245.0,48.0)*t14669+t13698+t13600; + t14144 = RATIONAL(-35.0,108.0); + t14293 = RATIONAL(-35.0,36.0); + t15207 = t14209*t14805+t14293*t14669+t14144*t14981; + t14926 = t13403+t15045*t15068; + t15206 = RATIONAL(-49.0,864.0)*t14805+RATIONAL(5.0,32.0)*t14669+t14926; + t12934 = t14200*t14805; + t15205 = t14090+t12934+RATIONAL(-49.0,24.0)*t14669; + t13865 = t14454*t15045; + t14291 = RATIONAL(-5.0,144.0); + t15204 = t13865+t15061*t14291*t15059; + t14670 = t14455*t14872; + t14311 = RATIONAL(5.0,48.0); + t14902 = t14457*t14268; + t14887 = x*t14902+t13837; + t15203 = t14311*t14764+t14457*t14670+t14887; + t14290 = RATIONAL(49.0,72.0); + t13817 = t14454*t14870; + t14125 = t14413*t14455; + t14747 = y*t14125; + t13641 = t14456*t14747; + t15202 = t13817+t13641+t14290*t14669; + t15004 = t14332*t14457; + t14360 = RATIONAL(-28.0,9.0); + t13198 = t14342*t14704; + t15201 = t14360*t14816+t15004*t15068+t13198; + t14030 = RATIONAL(5.0,96.0)*t14981; + t14961 = t15040*t15069+t13446; + t15200 = t14453*t14030+t14961+t12807; + t13370 = t14342*t14684; + t15199 = t14332*t15037+t13370+t14360*t14764; + t14285 = RATIONAL(-70.0,27.0); + t15198 = RATIONAL(-160.0,27.0)*t14805+t14285*t14981+RATIONAL(140.0,9.0)* +t14669; + t14933 = t14362*t14457; + t14287 = RATIONAL(-25.0,72.0); + t14750 = t14287*t15041; + t15197 = t13376+x*t14933+t14456*t14750; + t13769 = t14280*t15049; + t15011 = t13769+t13776; + t15196 = y*t14580+t15011+t13152; + t12884 = t14285*t14805; + t14067 = t14454*t14958; + t14366 = RATIONAL(10.0,3.0); + t15195 = t14366*t14669+t12884+t14067; + t14326 = RATIONAL(-35.0,9.0); + t13289 = t14326*t14704; + t14336 = RATIONAL(70.0,9.0); + t15194 = t14336*t14816+t13289+t14326*t15029; + t14197 = RATIONAL(-35.0,144.0); + t13696 = t14197*t14981; + t14381 = RATIONAL(5.0,18.0); + t13540 = t14381*t14805; + t15193 = t14457*t14850+t13540+t14453*t13696; + t14170 = RATIONAL(49.0,108.0); + t13660 = t14455*t14631; + t15192 = t14170*t14764+t13660+t14289*t15037; + t12791 = t14457*t14578; + t14762 = t14206*t15041; + t13835 = t14457*t15044; + t14829 = t13835+t13798; + t15191 = t12791+t14456*t14762+t14829; + t13316 = t14360*t14617; + t13978 = t14352*t15070; + t15190 = t13316+t13978+RATIONAL(125.0,18.0)*t14823; + t13872 = t14304*t14855; + t13070 = t14453*t13872; + t15189 = t13070+t15403*t14279; + t13301 = t14374*t14704; + t15188 = t13301+y*t13977+t14851*t15068; + t14276 = RATIONAL(-35.0,48.0); + t14992 = t14315*t14455; + t14793 = y*t14992; + t13339 = t14456*t14793; + t15187 = t14276*t14669+t13696+t13339; + t14187 = RATIONAL(-245.0,54.0); + t15186 = t14831*t15068+t14187*t14816+t14411*t14704; + t14400 = RATIONAL(7.0,96.0); + t14664 = t14400*t14959; + t13527 = t14456*t14664; + t14815 = y*t14104; + t15185 = t14457*t14815+t13527+x*t14796; + t14230 = RATIONAL(-49.0,36.0); + t14261 = RATIONAL(35.0,12.0); + t12889 = t14261*t14704; + t14347 = RATIONAL(-14.0,9.0); + t15003 = t14347*t14457; + t15184 = t15003*t15068+t12889+t14230*t14816; + t14832 = t14457*t14328; + t14600 = t14291*t14855; + t14806 = y*t14874; + t15183 = t14453*t14600+t14832*t15068+t14457*t14806; + t12932 = t14261*t14684; + t15182 = t14347*t15037+t14230*t14764+t12932; + t13616 = t14420*t14704; + t14165 = RATIONAL(-245.0,72.0); + t15181 = t14918*t15068+t13616+t14165*t14816; + t15180 = y*t13774+x*t14778+t14345*t14704; + t14319 = RATIONAL(-1.0,48.0); + t14272 = RATIONAL(-1.0,864.0); + t15043 = t14272*z; + t15179 = t14319*t14669+t15043*t15068+t12960; + t13948 = t14314*t14934; + t13548 = t14453*t13948; + t15178 = t14259*t14764+t13548+t14887; + t14303 = RATIONAL(10.0,27.0); + t15047 = y*t14303; + t14786 = t14455*t15047; + t13064 = t14456*t14786; + t15177 = t13064+t13921+t14453*t14067; + t14576 = t14291*t14974; + t15176 = t14454*t15027+t14455*t14576+t14383*t14764; + t13595 = t14417*t14805; + t15175 = t13595+t14368*t14981+RATIONAL(49.0,24.0)*t14669; + t14301 = RATIONAL(-35.0,12.0); + t12816 = t14301*t14704; + t15174 = t12816+t14342*t15029+t14179*t14816; + t13450 = t14326*t14684; + t15173 = t14336*t14764+t13450+t14326*t15037; + t14620 = t14197*t14934; + t12723 = t14453*t14620; + t15172 = t14454*t15028+t14446*t14764+t12723; + t13604 = t14456*t14577; + t14299 = RATIONAL(-10.0,27.0); + t15056 = y*t14299; + t14798 = t14455*t15056; + t14965 = t14377*t14457; + t15171 = t13604+t14965*t15068+t14457*t14798; + t15170 = t14429*t14684+y*t13858+t14224*t15037; + t14354 = RATIONAL(-80.0,9.0); + t14152 = RATIONAL(-140.0,27.0); + t14158 = RATIONAL(280.0,27.0); + t15169 = t14158*t14764+t14152*t15037+t14354*t14684; + t14394 = RATIONAL(-20.0,3.0); + t14195 = RATIONAL(245.0,54.0); + t14180 = RATIONAL(140.0,27.0); + t15168 = t14394*t14704+t14195*t14816+t14180*t15029; + t14768 = t14287*t15059; + t13996 = t14362*t15049; + t15167 = t14455*t14768+t13996+t13299; + t13856 = t14268*t15049; + t14845 = t14280*t14455; + t13863 = z*t14845; + t15000 = t13856+t13863; + t14752 = t14311*t15059; + t15166 = t15000+t14454*t14683+t14455*t14752; + t14738 = y*t14923; + t13542 = t14455*t14609; + t15165 = z*t14738+t13542+y*t13924; + t14586 = t14454*t14883; + t13181 = t14456*t14586; + t14777 = t14389*t15059; + t15164 = t14455*t14777+t13181+t14156*t15049; + t13664 = t14441*t14704; + t15163 = t14170*t14816+t13664+t14837*t15068; + t14250 = RATIONAL(-1.0,432.0); + t13759 = t14300*t14855; + t15162 = t14453*t13759+t15403*t14250; + t14740 = t14379*t15049; + t13590 = t14443*t14684; + t15161 = t14211*t14764+t13590+y*t14740; + t15160 = t14455*t14622+t14242*t15037+y*t13818; + t14811 = y*t14127; + t14951 = t14309*t14457; + t14792 = x*t14951; + t14675 = t14197*t14855; + t12768 = t14453*t14675; + t15159 = t14457*t14811+t12768+y*t14792; + t13649 = t14420*t14684; + t15158 = t13649+t14306*t15037+t14165*t14764; + t15157 = t14187*t14764+t14411*t14684+t14204*t15037; + t14324 = RATIONAL(7.0,24.0); + t14799 = y*t15002; + t13486 = t14455*t14799; + t15156 = t14392*t14981+t13486+t14324*t14669; + t14616 = RATIONAL(-25.0,48.0)*t14981; + t15155 = t14453*t14616+t13251+t14341*t15067; + t15154 = t12884+t14255*t14981+RATIONAL(35.0,3.0)*t14669; + t15153 = t14355*t14805+t14225*t14981+RATIONAL(245.0,36.0)*t14669; + t14885 = t14454*t14410; + t13347 = t14455*t14621; + t15152 = t14146*t14764+t14885*t15069+t13347; + t13915 = t14381*t15059; + t15151 = t13990+t14455*t13915+t15288; + t13979 = t14456*t14875; + t15150 = t14405*t14981+t13979+t14234*t14669+t13540; + t13431 = t14455*t14759; + t15149 = t14263*t15037+t13660+t13431+t14177*t14764; + t15034 = t14279*t15069; + t15148 = t14454*t15034+t14279*t14764+t15395; + t14771 = x*t14962; + t13499 = t14456*t14771; + t15015 = x*t15051; + t15147 = t14177*t14816+t13664+t13499+t14457*t15015; + t14205 = RATIONAL(-35.0,72.0); + t13753 = t14205*t14934; + t15146 = y*t13753+t14205*t15029+t15261; + t14976 = t14245*t14457; + t14860 = t14456*t14198; + t13699 = t14455*t14860; + t15145 = t13699+t14292*t14805+(t14581+t14976)*t14454; + t13319 = t14401*t14824; + t15144 = t14195*t14764+t13319+t14180*t15037+t14394*t14684; + t13690 = x*t14860; + t14894 = t14156*t14457; + t15143 = x*t14894+t13690+t14389*t14764+t13101; + t13959 = z*t14952; + t14763 = t14457*t15047; + t13467 = t14344*t14704; + t15142 = t13959+t13467+t14161*t14816+x*t14763; + t13556 = t14379*t14824; + t14843 = t14454*t14205; + t14767 = y*t14843; + t13756 = t14456*t14843; + t13285 = t14455*t14661; + t15141 = t13556+t13285+z*t14767+y*t13756; + t15140 = t14455*t14763+t13915+t15398; + t14892 = t14454*t14212; + t15139 = t14454*t14743+t14892*t15069+t15283; + t13667 = t14449*t14781; + t15138 = t13604+t14265*t15029+t13667+t14203*t14816; + t14914 = t14454*t14363; + t13949 = z*t14914; + t14748 = t14293*t15066; + t13252 = t14457*t15023; + t15137 = t13949+t13616+t13252+t14457*t14748; + t14772 = t14283*t15059; + t14915 = t14283*t14455; + t13830 = t14457*t14915; + t15136 = x*t14772+y*t13830+t15309; + t14267 = RATIONAL(-5.0,576.0); + t14863 = t14454*t14267; + t12988 = t14201*t14805; + t15135 = t14457*t14863+t14454*t14658+t13717+t12988; + t13970 = t14381*t15041; + t15134 = z*t13970+t14173*t14764+t15367; + t15058 = y*t14212; + t14770 = t14457*t15058; + t13103 = x*t14672; + t14685 = t14351*t14959; + t13377 = t14456*t14685; + t15133 = t13103+x*t14770+t13377+t14162*t14816; + t13804 = t14456*t14896; + t14214 = RATIONAL(-5.0,432.0); + t14867 = t14214*t14454; + t15132 = t14457*t14867+t13804+t13641+t14453*t13698; + t13732 = t14456*t14868; + t14897 = t14454*t14218; + t14773 = y*t14834; + t13066 = t14456*t14773; + t14208 = RATIONAL(5.0,192.0); + t15131 = t14208*t14669+t14457*t14897+t13732+t13066; + t15130 = t14413*t14764+t14334*t15041+t15249; + t15129 = t13901+t14434*t14669+t15356; + t15128 = t14929*t15069+t14228*t14764+t15345; + t14810 = t14146*t15066; + t15127 = t15322+(t15020+t14810)*t14457; + t15126 = t13937+t14457*t14747+t15369; + t15125 = t14203*t14764+t14265*t15037+t15386; + t15124 = x*t13915+t14173*t14816+t15328; + t14970 = t14315*t14454; + t15123 = t13064+t13965+t14457*t14970+t14347*t14669; + t15012 = t14313*t15068; + t15122 = RATIONAL(-25.0,18.0)*t14981+t12934+RATIONAL(-175.0,48.0)*t14669+ +z*t15012; + t15121 = z*t14921+t14392*t14816+x*t14777+t13377; + t15030 = t14409*t15068; + t15120 = RATIONAL(25.0,144.0)*t14981+t13486+z*t15030+RATIONAL(25.0,48.0)* +t14669; + t14904 = t14451*t14457; + t14077 = t14454*t14904; + t14408 = RATIONAL(-14.0,3.0); + t15119 = t14077+t14408*t14669+t15355; + t14447 = RATIONAL(5.0,6.0); + t14137 = RATIONAL(-245.0,192.0); + t15118 = t14217*t14816+t13959+t14137*t14704+t14447*t15029; + t13779 = t14454*t14842; + t15117 = y*t13779+t14283*t15037+t15345; + t14814 = t14215*t15059; + t14196 = RATIONAL(-49.0,108.0); + t15116 = t14196*t14816+x*t14814+t15322; + t14907 = t14297*t14457; + t13754 = t14454*t14907; + t15032 = y*t14109; + t15115 = x*t15032+t14316*t14669+t13754+t12988; + t14741 = t14371*t15059; + t15114 = t14245*t15049+t13070+t15061*t14741; + t14369 = RATIONAL(-50.0,9.0); + t14233 = RATIONAL(-20.0,27.0); + t14385 = RATIONAL(25.0,9.0); + t15113 = t14369*t14816+t14385*t15029+t14233*t15049+t13198; + t15022 = z*t15062; + t13549 = x*t15022; + t15112 = RATIONAL(35.0,32.0)*t14669+t14457*t14871+t13549+RATIONAL(-245.0, +288.0)*t14805; + t14744 = t14303*t15041; + t15111 = t13970+t14456*t14744+t15231; + t14231 = RATIONAL(28.0,27.0); + t15110 = y*t14904+t14231*t14816+t15398; + t13624 = t14455*t14783; + t15109 = t14196*t14764+t13624+t14215*t15037+t13347; + t15108 = t14238*t14764+t14299*t15037+t15326; + t15107 = t14228*t15029+t14457*t14797+t15309; + t15106 = t14386*t14669+t14242*t15067+t14454*t14912+t13066; + t14284 = RATIONAL(112.0,9.0); + t14183 = RATIONAL(-280.0,27.0); + t14882 = RATIONAL(-16.0,3.0)*t14453; + t15105 = t14284*t14704+t14012+t14456*t14882+t14183*t14816; + t13757 = t14300*t14934; + t13178 = z*t14589; + t14911 = t14250*t14454; + t15104 = t14250*t14764+t13178+t14453*t13757+t14911*t15069; + t14406 = RATIONAL(-5.0,18.0); + t14758 = t14406*t15042; + t13546 = t14455*t14758; + t15103 = t14454*t14965+t13546+t13549+t14306*t14669; + t14296 = RATIONAL(25.0,72.0); + t15102 = t13301+t14380*t15049+t15403*t14296; + t14256 = RATIONAL(-35.0,24.0); + t14119 = t14317*z; + t13432 = t14119*t15068; + t15101 = t13906+t13600+t13432+t14256*t14669; + t14873 = t14454*t14372; + t15100 = y*t14873+t14381*t14764+t15252; + t14017 = RATIONAL(-5.0,96.0)*t14981; + t15099 = t14017+RATIONAL(-5.0,32.0)*t14669+t14191*t14805+t15286; + t15098 = z*t14867+t14422*t14816+t14446*t15029+t15219; + t14150 = RATIONAL(175.0,72.0); + t14079 = t14449*t15063; + t15097 = z*t14750+t13556+t14150*t14764+t14079+t13590; + t14877 = t14267*t14457; + t14818 = t14368*t15052; + t13411 = t14455*t14818; + t15096 = t12741+x*t14877+t14413*t15037+t13411+t14368*t14764; + t15095 = t14422*t14764+t14446*t15037+t14214*t15063+t15379; + t13908 = t14388*t14855; + t15094 = t13512+y*t13908+t13285+t15314; + t15093 = t14030+RATIONAL(-35.0,32.0)*t14669+t14174*t14805+t15255; + t15092 = t14454*t14951+t14318*t14669+t15058*t15070+t15357; + t14444 = RATIONAL(5.0,3.0); + t14416 = RATIONAL(-5.0,6.0); + t14138 = RATIONAL(-245.0,144.0); + t15091 = t14138*t14704+t14416*t15029+t14444*t14816+t15232; + t14991 = t14454*t14424; + t13321 = t14347*t14781; + t14168 = RATIONAL(-175.0,72.0); + t15090 = z*t14991+x*t14785+t12889+t14168*t14816+t13321; + t13337 = t14332*t14824; + t15089 = t14233*t15063+t13337+t13370+t14385*t15037+t14369*t14764; + t14866 = t14344*t14454; + t13994 = t14457*t14866; + t14428 = RATIONAL(5.0,2.0); + t15088 = t13994+t14428*t14669+RATIONAL(-245.0,216.0)*t14805+t15321; + t14248 = RATIONAL(7.0,432.0); + t14774 = t14248*t15066; + t13151 = t14456*t14774; + t15087 = t14457*t14892+t14453*t14017+t13151+t15235; + t15086 = x*t14768+t14150*t14816+t14449*t15049+t15368; + t14147 = RATIONAL(49.0,288.0); + t14321 = RATIONAL(-5.0,48.0); + t15085 = t14147*t14704+t15360+t15403*t14321; + t13058 = t14456*t14798; + t14346 = RATIONAL(10.0,9.0); + t15084 = t13058+t14457*t14885+t14346*t14669+t15321; + t14861 = t14289*t14456; + t13758 = t14455*t14861; + t15083 = RATIONAL(-25.0,144.0)*t14981+t14135*t15068+t13595+RATIONAL(175.0 +,48.0)*t14669+t13758; + t14029 = t14454*t14840; + t15082 = z*t15015+t14029+t14433*t14669+t15227; + t14037 = t14457*t14963; + t14619 = t14395*t14974; + t15081 = t14037+t13339+t14454*t14619+t15235; + t14745 = t14296*t15041; + t13543 = t14330*t14824; + t15080 = t14380*t15063+t13542+t13543+t15054*t14745; + t15079 = t14416*t15037+t14138*t14684+t14444*t14764+t15326; + t12771 = z*t14670; + t14739 = t14321*t15041; + t15078 = t12771+t14147*t14684+t15349+t15054*t14739; + t13533 = t14368*t14781; + t15077 = t13709+t12739+z*t14863+t14413*t15029+t13533+t14368*t14816; + t15076 = z*t14744+t14161*t14764+t15220+t15354; + t14239 = RATIONAL(49.0,96.0); + t15075 = t12706+t14276*t14764+t14311*t15037+t14239*t14684+t15267; + t14264 = RATIONAL(-5.0,108.0); + t15074 = t13418+t13431+t15349+t15401*t14264; + t15073 = t14263*t14981+t13804+t13429+t14453*t14037+t15286; + t14045 = t14388*t14934; + t15072 = t13865+t13863+y*t14045+t13272+t15261; + t13334 = t14347*t14824; + t14322 = RATIONAL(20.0,9.0); + t15071 = t14313*t15037+t13334+t14322*t14764+t13450+t15361; + t15060 = t14363*x; + t14112 = t14297*z; + t15033 = y*t14112; + t15026 = t14391*t15068; + t15024 = t14315*t15068; + t15021 = t14405*t15068; + t15019 = t14288*t15068; + t15018 = x*t15056; + t15013 = t14346*t15069; + t13557 = t14379*t14617; + t13374 = t14457*t14738; + t15010 = t13557+t13374; + t15009 = t13557+y*t14598; + t13187 = t14232*t14781; + t15008 = t13187+t14294*t14817; + t14593 = t14456*t14883; + t13049 = t14455*t14593; + t14757 = t14291*t15041; + t15007 = t13049+t14457*t14757; + t15006 = t13673+z*t15024; + t13493 = t14363*t14801; + t13843 = t14282*t14855; + t13104 = y*t13843; + t15001 = t13493+t13104; + t14999 = t14454*t14772+t13430; + t14124 = t14374*t14456; + t13412 = t14389*t14781; + t14996 = t13412+t14371*t14817; + t13358 = t14365*t15017; + t14995 = t13358+t14237*t15067; + t14994 = t14251*t14456; + t14993 = t14454*t14314; + t14990 = t13533+t14842*t15068; + t12834 = t14457*t14583; + t13864 = t14455*t14859; + t14989 = t12834+t13864; + t13177 = t14456*t14589; + t14988 = t13177+t14245*t14805; + t14987 = t13544+t14457*t14767; + t14126 = t14429*t14456; + t14986 = t14226*t14455; + t14893 = t14457*t14198; + t13726 = t14456*t15046; + t14984 = x*t14893+t13726; + t14983 = t14328*t14455; + t14982 = t14379*t14457; + t14979 = t13499+y*t13773; + t14977 = y*t13862+t13431; + t14975 = t14272*t14456; + t13147 = x*t14593; + t14973 = t13147+t14305*t14817; + t13353 = t14332*t14781; + t14972 = t14213*t15031+t13353; + t14968 = t14454*t14404; + t13952 = y*t14966; + t14967 = t13544+t14454*t13952; + t14895 = t14328*t14456; + t14769 = y*t14895; + t13400 = t14455*t14769; + t13422 = t14363*t14617; + t14964 = t13400+t13422; + t14222 = RATIONAL(49.0,27.0); + t14960 = t14222*t15031+t13321; + t14957 = t14319*t14453; + t14953 = t13334+t14222*t15016; + t14950 = t13557+t14457*t14745; + t14948 = t14339*t14453; + t14946 = t14361*t14456; + t14945 = t13668+z*t15021; + t14943 = t13310+t14835*t15068; + t14940 = t13411+t14915*t15069; + t14938 = t14188*t15016+t13543; + t13357 = t14455*t14822; + t14937 = y*t13831+t13357; + t14936 = t14454*t14248; + t14611 = t14392*t14959; + t14931 = z*t14611+t13411; + t12933 = t14230*t14617; + t14928 = t12933+t14261*t14823; + t13938 = t14454*t14969; + t14927 = t13544+y*t13938; + t14919 = RATIONAL(-5.0,16.0)*t14453; + t14916 = t14380*t14455; + t14910 = t13533+t14392*t14817; + t14909 = t14455*t14410; + t14880 = t14272*t14455; + t12992 = t14455*t14808; + t14906 = t12992+t14880*t15069; + t14905 = t14455+t14456; + t13850 = t14455*t14870; + t13000 = y*t13850; + t13966 = t14457*t15060; + t13395 = t14453*t13966; + t14900 = t13000+t13395; + t14899 = t14346*t14457; + t14101 = t14297*t14455; + t14295 = RATIONAL(7.0,144.0); + t14102 = t14295*t14455; + t13002 = t14294*t14781; + t14890 = t14232*t14817+t13002; + t14133 = t14418*t14455; + t14117 = t14374*t14455; + t14878 = t14454*t14288; + t14856 = t14226*t14456; + t14854 = t14454*t14272; + t14849 = t14245*t14456; + t14846 = t14251*t14455; + t14844 = t14453*RATIONAL(-2.0,1.0); + t14421 = RATIONAL(-2.0,3.0); + t14833 = t14421*t14453; + t14828 = t14453*t14443; + t14108 = t14295*t14456; + t13815 = z*t14881; + t14813 = t14406*t15066; + t14803 = x*t14840; + t14802 = t14242*t15042; + t14800 = t14219*t15066; + t13867 = t14249*t15063; + t14794 = t14447*t15041; + t13764 = t14300*t15063; + t14791 = t14454*t14119; + t14784 = t14212*t15042; + t14779 = t14265*t15066; + t14776 = y*t14102; + t14775 = y*t14933; + t14766 = x*t14982; + t14760 = t14264*t15059; + t14310 = RATIONAL(8.0,27.0); + t14756 = t14310*t15066; + t14755 = y*t14922; + t14754 = t14189*t15066; + t14749 = t14406*t15041; + t14442 = RATIONAL(-5.0,3.0); + t14091 = t14442*t15059; + t14737 = t15054*t14454; + t14736 = t15061*t14457; + t13077 = t14232*t15017; + t14735 = t13187+t14453*t13764+t13077; + t14139 = RATIONAL(245.0,144.0); + t12928 = t14290*t14824; + t14734 = t14139*t14684+t12928+t12933; + t14733 = t13648+t15400*t14456; + t13877 = t14243*t15050; + t13951 = t14310*t15070; + t14732 = t13877+t14238*t15063+t13951; + t14731 = z*t14968+t13896+t14115; + t14257 = RATIONAL(7.0,288.0); + t13861 = t14257*t14855; + t12874 = t14453*t13861; + t14730 = t13103+t13019+t12874; + t14729 = t14010+t14125+t14315*t14934; + t14728 = t13499+x*t14957+t14295*t14817; + t14338 = RATIONAL(-1.0,96.0); + t14727 = t13147+t14338*t14817+t13077; + t13880 = t14249*t14934; + t14726 = t13880+t13727+t13732; + t12927 = t14290*t14781; + t14725 = t13622+t14256*t14817+t12927; + t13833 = t14248*t14934; + t14724 = t14101+t13833+t13804; + t14184 = RATIONAL(-49.0,432.0); + t14723 = t14184*t14934+t14102+t13883; + t14722 = t14453*t14866; + t14721 = x*t15035+t14008+t13551; + t14720 = t14456*t14592+t13672+t13675; + t14719 = t14229*t14801+t13337+z*t14848; + t14718 = t13603+t15400*z; + t14717 = z*t14985+t13539+t14327*t14801; + t14716 = t13997+t13979+t14390*t14934; + t14715 = t14105+t14191*t14855+t13758; + t14714 = t13051+t14400*t14684+t12772; + t13687 = t14148*t15065; + t14713 = t14226*t14934+t13717+t13687; + t14712 = t14130+t14028+t14405*t14855; + t13752 = RATIONAL(-32.0,27.0)*t14901; + t14711 = t14133+t13752+t14227*t14934; + t14710 = t13556+t13517+t14454*t14074; + t14329 = RATIONAL(-7.0,12.0); + t13550 = x*t14818; + t14709 = t13550+t14329*t14817+t12927; + t14708 = t13861+t13722+t13680; + t14707 = t13300+t15391; + t14706 = t13883+t13815+t14182*t14934; + t14705 = t13316+t15331; + t14703 = t13550+t13310+t14197*t14817; + t14702 = t14257*t14817+t13103+t12812; + t14701 = t14208*t14959; + t14615 = t14424*t14934; + t13570 = t14453*t14615; + t14700 = t13624+t13570+t13675; + t13972 = z*t14916; + t14699 = t14373*t15049+t14119+t13972; + t14320 = RATIONAL(-20.0,9.0); + t14698 = t13767+t13353+t14320*t15031; + t14697 = t14455*t14836+t13300+t14397*t14684; + t14696 = t14454*t14954; + t14695 = t13871+t13809+t13966; + t14694 = t14457*t14911; + t14693 = t13925+t13691+t13815; + t14692 = t14033+t14404*t15063+t14309*x; + t14199 = RATIONAL(49.0,54.0); + t14691 = t14117+t13766+t14199*t14934; + t14690 = t13667+t13656+t14406*t14817; + t14689 = t14255*t14805+t12939+t13794; + t14688 = z*t14930+t14417*t14801+t13587; + t14244 = RATIONAL(49.0,18.0); + t14687 = t13334+t14244*t14801+z*t14828; + t14686 = t13976+t15229; + t12938 = t14301*t14684; + t14682 = t13337+t12939+t12938; + t14681 = t14454*t14864; + t14680 = t13980+t13822+t13714; + t14678 = t13591+t15405*x; + t14677 = t13964+t13667+t14456*t15020; + t14676 = t13543+t15402*z; + t14674 = t14108+t14184*t14855+t13883; + t13419 = z*t14782; + t14673 = t13863+t13419+t13357; + t14668 = t13766+t14124+t14199*t14855; + t14666 = t12714+t15319; + t13247 = RATIONAL(64.0,9.0)*t14617; + t14665 = t14302*t14704+t13247+t14456*t14839; + t14662 = t13945+(t14862+t14317)*x; + t14659 = t13556+t13831+z*t14811; + t14046 = t14358*t14855; + t14657 = t14257*t14959; + t14656 = t13706+t12992+t14250*t15016; + t14274 = RATIONAL(-49.0,96.0); + t12638 = RATIONAL(343.0,576.0)*t14617; + t14654 = t12771+t14274*t14684+t12638; + t14653 = t13625+t13624+t14381*t14801; + t14652 = x*t14828+t13321+t14244*t14817; + t14651 = t14384*t14934+t13965+t14038; + t14649 = t13166+t14400*t14817+t12782; + t13907 = z*t14992; + t14648 = t13907+t13751+t13766; + t14646 = t14456*t14788+t12714+t13849; + t14645 = x*t14888+t14407*t14817+t13236; + t14644 = t14008+t15222; + t14643 = x*t14920+t13310+t14149*t14817; + t14642 = t13862+t13733+z*t14993; + t12997 = t14294*t14617; + t14641 = t13699+t12997+t14250*t14805; + t13496 = t14454*t13915; + t14640 = t13733+t13496+t13557; + t14639 = t13825+t14455*t14755+t13422; + t14610 = t14295*t14959; + t14638 = t13431+(t14957+t14610)*z; + t14637 = t13979+t13992+t14456*t14847; + t14636 = t13631+t14455*t14886+t13687; + t14634 = t14453*t14873; + t14633 = t13976+z*t14850+t13972; + t14632 = t14455*t14949+t13316+t14357*t14684; + t13886 = t14249*t14855; + t14630 = t13648+t15271; + t14629 = t14023+t13801+t13758; + t14628 = t13811+t14235*t14934+t13752; + t14627 = t13907+t13691+t13753; + t13878 = t14288*t14855; + t13823 = t14248*t14855; + t14624 = t13823+t14111+t13804; + t13918 = t14358*t14934; + t14254 = RATIONAL(35.0,24.0); + t14623 = t13626+t12937+t14254*t14817; + t13950 = t14457*t14914; + t13870 = t14457*t14865; + t13902 = t14454*t14862; + t13782 = t14457*t14880; + t13852 = t14257*t14934; + t13783 = t14454*t14827; + t13740 = t14457*t14845; + t13749 = t14457*t14942; + t14618 = t12946+t13974+z*t14800; + t14614 = t14338*t14959; + t13704 = t14198*t15070; + t14612 = t14272*t15063+t13704+t13690; + t14605 = t14453*t13867+t12994+t13002; + t14604 = t14237*t14855+t13736+t14126; + t14603 = t13021+t14453*t13852+t13019; + t14370 = RATIONAL(-10.0,3.0); + t14601 = t14370*t14959; + t13233 = RATIONAL(-64.0,9.0)*t14617; + t14308 = RATIONAL(80.0,9.0); + t14597 = t14308*t14684+t13319+t13233; + t12897 = t14456*t14776; + t14595 = t13732+t12897+t12772; + t14591 = t14434*t14704+t13557+t13519; + t14590 = t13178+t13049+t14338*t14684; + t14588 = t13582+t15404*x; + t14098 = t14414*t14934; + t14575 = y*t14736; + t14574 = y*t14737; + t14573 = t14311+RATIONAL(5.0,16.0)*t14453; + t14396 = RATIONAL(-1.0,24.0); + t14571 = t14396*t14453+t14389; + t14570 = t14309+t15005; + t14569 = t14371+t14387*t14453; + t14568 = RATIONAL(35.0,16.0)*t14453+t14321; + t14567 = t14313+t14301*t14453; + t14566 = RATIONAL(2.0,1.0)*t14453+t14433; + t14565 = t14337+t14260*t14457; + t14564 = t14394*t14453+t14346; + t14563 = t14447+RATIONAL(-5.0,1.0)*t14453; + t14562 = t14292+t14941; + t14561 = t14416+RATIONAL(-35.0,16.0)*t14453; + t14560 = RATIONAL(-1.0,8.0)*t14453+t14396; + t14559 = t14920+t14297; + t14557 = t14913+t14317; + t14376 = RATIONAL(1.0,24.0); + t14556 = RATIONAL(-7.0,8.0)*t14453+t14376; + t14555 = t14446+t14324*t14453; + t14554 = t14261*t14453+t14388; + t14553 = t14358+t14891; + t14431 = RATIONAL(2.0,3.0); + t14552 = t14431*t14453+t14413; + t14551 = t14852+t14337; + t14550 = RATIONAL(7.0,8.0)*t14453+t14437; + t12956 = y*t14694; + t14549 = t12956+t14453*t13770+t14272*t14805+t12997; + t14548 = t13211+t14454*t14576+t15264; + t14547 = t14457*t14613+y*t13849+t14999; + t12830 = y*t13754; + t14546 = t12791+t12830+t13049+t14292*t14764; + t14545 = t14455*t14770+t13181+t15387; + t13061 = y*t13817; + t12822 = y*t13878; + t14544 = t13061+t13548+t13422+t12822; + t14543 = t12759+t14416*t14669+t15006+t15009; + t14542 = t14454*t14859+t14457*t14657+t13778+t14455*t14784+t15007; + t13230 = t14457*t14739; + t14541 = t14457*t14664+t13950+t13230+t14646; + t14540 = RATIONAL(343.0,216.0)*t14805+RATIONAL(-5.0,2.0)*t14669+t14928+ +t14945; + t12836 = t14454*t14742; + t14539 = t12836+t14265*t14764+t14405*t15037+t14700; + t13096 = t14454*t14760; + t14538 = t13096+t14639+(t14879+t14606)*t14457; + t12666 = RATIONAL(490.0,27.0)*t14823; + t14537 = t14454*t15038+t14284*t14684+t14183*t14764+t14455*t14882+t12666+ +t13233; + t14536 = t12836+t14720+(t14779+t15021)*t14457; + t14535 = t15010+t15365+(t14936+t14599)*t14457; + t14534 = t14878*t15069+t14188*t14764+t15010+t15281; + t13378 = t14454*t14741; + t14533 = t13378+t14603+(t15033+t14746)*t14454; + t14532 = y*t13823+t14455*t14587+t14361*t15037+t13401+t15007; + t14531 = t13667+t13467+t14987+(t14754+t15024)*t14457; + t14530 = t14437*t14669+t13501+t12757+z*t15019+t14967; + t14529 = t14299*t14764+t14454*t15036+t15306+t15386; + t14528 = t14454*t14755+t14455*t14957+y*t14993+t14295*t14684+t14999; + t14527 = t13906+t14453*t13994+t14950+t15227; + t14526 = t14164*t14669+t14037+t15337+t15357; + t14525 = t14295*t14764+t12714+y*t14791+t13230+t15367; + t13479 = t14454*t15022; + t14524 = t14456*t14749+t13479+t14950+t15379; + t14523 = t12836+t13979+t13058+t13902+t13675+t14453*t14077; + t14522 = t14451*t15041+t14231*t14764+t15231+t15310; + t12711 = RATIONAL(-175.0,24.0)*t14823; + t14521 = t12711+t14200*t14981+RATIONAL(245.0,48.0)*t14669+t14689; + t14520 = t13375+y*t14046+t14829+t14927; + t12779 = RATIONAL(-350.0,27.0)*t14823; + t14519 = t14354*t14704+t13247+t12779+t14158*t14816+t13260+t14152*t15029; + t14518 = t14457*t14634+t13266+t14927+t14961; + t14517 = t14456*t14765+t13854+t13870+t14453*t14029+t13422+t13096; + t14516 = t13304+y*t13918+t14927+t15011; + t14515 = t13252+t14457*t14813+t14950+t15219; + t13185 = t14268*t14823; + t14514 = t14453*t13749+t14457*t14854+t13725+t13177+t13185+t14455*t14802; + t14513 = t13378+t14730+t14907*t14825; + t13277 = t14457*t14807; + t14512 = t14457*t14601+t13316+t13277+t12959+t15006; + t14511 = t14189*t14764+t14970*t15069+t14987+t15354; + t14510 = y*t14939+t14456*t14610+t14319*t14956+t14455*t14775+t14999; + t12716 = RATIONAL(-175.0,18.0)*t14823; + t14509 = t12716+t12910+t13300+t14227*t15067+RATIONAL(25.0,3.0)*t14669+ +t13293; + t14508 = t13436+t14456*t14696+y*t13833+t14457*t15025+t15007; + t14223 = RATIONAL(35.0,27.0); + t12867 = t14223*t14823; + t14507 = t13648+t14313*t14669+t12867+t13122+t14945; + t14506 = y*t14803+t14457*t14776+t13230+t14666; + t13494 = t14376*t14823; + t14505 = y*t14579+t14454*t15032+t13494+t14714; + t13421 = y*t13902; + t14504 = t13421+t14639+(t14878+t14611)*t14457; + t12832 = t14199*t14823; + t14503 = t13952+t14455*t14814+t12832+t14733; + t14502 = y*t14766+t14211*t14816+t15293+t15368; + t14501 = t14457*t14614+t13151+t13019+t13749+t13717+t13378; + t14500 = t14453*t13906+t13096+t14926+t14964; + t13227 = t14397*t14823; + t14499 = t14448*t15041+t14348*t14764+t13227+t14697; + t14498 = t14457*t14968+t13965+t13546+t14454*t14596+t14987; + t12696 = RATIONAL(245.0,18.0)*t14823; + t14497 = t12696+t14312*t14764+t14454*t15039+t14632; + t14496 = t14457*t15019+t14188*t14816+t13374+t14591; + t14241 = RATIONAL(-25.0,12.0); + t12904 = t14241*t14823; + t14495 = t12816+t12939+t12904+t14008+t14899*t15068+t14457*t14800+t13353+ +t15328; + t14494 = t13277+t14320*t14764+t14442*t15041+t14632+t14692; + t14493 = t12678+x*t14752+t14239*t14704+t14276*t14816+t14642+t15239; + t14492 = y*t14958+t14233*t14816+t12867+t14699+t14733; + t14491 = t14415*t14816+t13533+t14406*t15029+t12768+t14633+t15377; + t14490 = t13838+t13550+t13432+RATIONAL(-35.0,96.0)*t14669+t14595+t15307; + t14489 = t14457*t15012+t13289+t14322*t14816+t13321+t14633+t15251; + t14286 = RATIONAL(-49.0,48.0); + t14141 = RATIONAL(343.0,144.0); + t14440 = RATIONAL(-5.0,4.0); + t14488 = t14455*t14091+t14440*t15059+t14286*t14956+t14141*t14704+t14699+ +t14928; + t14487 = t13277+t14091+t14320*t14816+t14705+t14731; + t14486 = t14344*t15059+y*t14615+t14731+t15009+t15369; + t14485 = y*t14866+t14424*t14764+t14692+t15009+t15249; + t14484 = t14447*t14669+t13938+t14686+t15356+t15377; + t14483 = t14286*t14971+t14141*t14684+t14440*t15041+t14442*t14764+t14662+ +t14928; + t14482 = t13808+t14434*t15059+t14112+z*t14936+t14449*t14816+t14967+t15288 +; + t14481 = t14144*t14764+t14259*t15037+t14640+t15267+t15281; + t14480 = t13949+t13147+y*t14620+t13815+t13527+t12772+t14869*t15068+t15307 +; + t14479 = t13786+t14205*t14669+t14640+t15255+t15365; + t14478 = t13499+t13472+t15211+t15360+t15061*t14760; + t14477 = t14392*t14764+t13764+t13704+t13711+t14389*t15037+t15283+t15290; + t14476 = t13976+t14415*t14764+z*t14749+t13411+t12723+t15361+t15377; + t14475 = t14434*t15041+t14248*t15063+t14297*x+t13744+t14449*t14764+t14967 ++t15252; + t14353 = RATIONAL(25.0,6.0); + t14393 = RATIONAL(50.0,9.0); + t14474 = t12716+t13877+t14353*t15041+t14231*t15063+t14435*x+t14393*t14764 ++t14697; + t14473 = t13537+z*t14762+y*t14675+t14695+t14714; + t14472 = t14233*t14764+y*t14991+t12867+t14630+t14662; + t14471 = t13049+x*t14976+t13726+t15278+t15395+t15401*t14371; + t12708 = RATIONAL(125.0,24.0)*t14823; + t14470 = t13913+t14057+t13334+t14335*t15037+t14168*t14764+t13951+t12933+ +t12708+t12932; + t12949 = y*t14616; + t14469 = t12949+t14358*t14981+RATIONAL(35.0,96.0)*t14669+t14646+t14721; + t14468 = t14238*t14816+t14457*t15018+t14720+t15232+t15297; + t14467 = x*t14790+t14144*t14816+t13496+t14591+t14642; + t14466 = t14219*t14764+t14454*t15013+t12904+t14644+t14682; + t14465 = t12716+t14231*t15049+t14353*t15059+t14136+t13768+t14393*t14816+ +t14707; + t13569 = t14457*t14794; + t14464 = t13649+t14293*t14764+t13569+t13543+t13479+t12933+t14695; + t14463 = t12904+t14083+t14254*t14669+t14689+t14721; + t14462 = z*t14757+y*t14600+t14603+t15314+t15330; + t14461 = t14202*t15067+t13358+RATIONAL(-25.0,3.0)*t14669+RATIONAL(25.0, +18.0)*t14981+t15190+t15355; + t14460 = t14217*t14764+t14137*t14684+t12638+z*t14794+t12928+t15220+t15248 +; + t14450 = RATIONAL(1.0,8.0); + t14439 = RATIONAL(4.0,3.0); + t14432 = RATIONAL(-1.0,4.0); + t14430 = RATIONAL(-4.0,3.0); + t14423 = RATIONAL(5.0,1.0); + t14419 = RATIONAL(1.0,2.0); + t14403 = RATIONAL(98.0,9.0); + t14399 = RATIONAL(-28.0,3.0); + t14378 = RATIONAL(28.0,3.0); + t14367 = RATIONAL(1.0,12.0); + t14356 = RATIONAL(25.0,8.0); + t14343 = RATIONAL(-25.0,6.0); + t14278 = RATIONAL(-80.0,27.0); + t14277 = RATIONAL(-49.0,12.0); + t14275 = RATIONAL(-25.0,54.0); + t14240 = RATIONAL(-25.0,96.0); + t14236 = RATIONAL(49.0,12.0); + t14207 = RATIONAL(25.0,12.0); + t14194 = RATIONAL(175.0,54.0); + t14193 = RATIONAL(-392.0,27.0); + t14192 = RATIONAL(392.0,27.0); + t14190 = RATIONAL(-175.0,54.0); + t14185 = RATIONAL(-175.0,96.0); + t14172 = RATIONAL(196.0,27.0); + t14171 = RATIONAL(100.0,27.0); + t14169 = RATIONAL(-112.0,27.0); + t14167 = RATIONAL(-100.0,27.0); + t14166 = RATIONAL(175.0,96.0); + t14163 = RATIONAL(200.0,27.0); + t14155 = RATIONAL(-196.0,27.0); + t14154 = RATIONAL(112.0,27.0); + t14153 = RATIONAL(343.0,54.0); + t14151 = RATIONAL(-343.0,54.0); + t14145 = RATIONAL(35.0,432.0); + t14143 = RATIONAL(-200.0,27.0); + t14142 = RATIONAL(245.0,192.0); + t14089 = t14414*t14855; + t14076 = t14415*t15049; + t14073 = x*t14858; + t14055 = t14422*t15049; + t14036 = t14383*t15049; + t14034 = t14346*t14855; + t14021 = t14457*t14916; + t14009 = t14341*t14855; + t14002 = t14377*t14855; + t13993 = t14457*t14909; + t13988 = t14341*t15049; + t13983 = t14454*t14114; + t13973 = t14457*t14857; + t13967 = t14455*t14832; + t13954 = t14380*t14855; + t13944 = t14361*t14934; + t13941 = t14375*t14855; + t13939 = t14409*t14855; + t13935 = t14391*t14855; + t13930 = t14457*t15048; + t13929 = t14361*t14855; + t13926 = t14457*t14875; + t13922 = t14313*t14855; + t13920 = t14455*t14899; + t13905 = t14341*t15063; + t13894 = t14457*t14838; + t13866 = t14268*t14855; + t13857 = t14454*t14853; + t13847 = t14454*t14849; + t13841 = t14218*t14855; + t13839 = t14455*t14902; + t13836 = t14267*t14855; + t13834 = t14273*t14855; + t13826 = t14218*t14934; + t13824 = t14455*t14877; + t13820 = t14214*t14855; + t13816 = t14235*t14855; + t13806 = t14214*t14934; + t13800 = t14202*t14934; + t13795 = t14270*t14855; + t13792 = t14457*t14846; + t13781 = z*t14854; + t13780 = t14457*t14896; + t13747 = t14456*t14854; + t13743 = t14270*t14934; + t13734 = z*t14897; + t13730 = t14198*t15049; + t13729 = t14198*t14855; + t13723 = t14176*t14934; + t13721 = t14159*t14855; + t13716 = t14148*t14934; + t13715 = t14145*t14934; + t13713 = t14455*t14893; + t13712 = t14148*t14855; + t13703 = t14457*t14868; + t13702 = t14160*t14855; + t13695 = t14455*t14894; + t13694 = t14156*t14855; + t13689 = t14145*t14855; + t13685 = t14457*t14085; + t13682 = t14435*t14817; + t13681 = t14453*t14079; + t13677 = t14414*t14817; + t13669 = x*t14631; + t13666 = t14454*t14059; + t13659 = t14439*t14817; + t13655 = t14132*t15068; + t13643 = t14412*t14684; + t13640 = z*t14747; + t13636 = t14430*t14817; + t13633 = t14414*t14801; + t13628 = x*t14780; + t13617 = t14439*t14801; + t13614 = t14454*t14783; + t13613 = t14449*t14801; + t13611 = t14430*t14801; + t13610 = t14454*t14789; + t13606 = t14453*t14099; + t13601 = t14136*t15068; + t13599 = t14129*t15069; + t13596 = t14418*t14704; + t13594 = t14133*t15069; + t13586 = t14418*t14684; + t13581 = t14412*t14704; + t13579 = t14454*t14607; + t13578 = t14131*t15068; + t13573 = t14126*t15068; + t13567 = t14453*t14098; + t13562 = t14310*t15031; + t13560 = t14456*t14614; + t13558 = t14381*t15016; + t13553 = t14388*t15031; + t13547 = t14330*t14817; + t13545 = z*t14813; + t13538 = t14322*t15031; + t13536 = z*t14664; + t13522 = t14453*t14792; + t13520 = z*t14663; + t13515 = t14352*t15016; + t13507 = y*t13913; + t13505 = x*t14799; + t13495 = t14117*t15069; + t13492 = t14453*t14803; + t13481 = t14307*t14817; + t13476 = t14453*t14791; + t13471 = x*t14795; + t13469 = z*t14806; + t13465 = z*t14614; + t13459 = z*t14722; + t13449 = t14406*t14801; + t13442 = t14349*t14805; + t13439 = x*t14769; + t13435 = t14118*t15068; + t13433 = t14404*t15031; + t13428 = t14457*t14771; + t13426 = t14377*t15031; + t13424 = t14389*t14817; + t13415 = t14946*t15068; + t13413 = t14358*t15016; + t13407 = t14404*t15016; + t13406 = t14368*t14817; + t13394 = t14983*t15069; + t13390 = t14114*t15068; + t13384 = z*t14685; + t13383 = t14453*t14766; + t13372 = t14345*t14801; + t13369 = t14389*t14801; + t13361 = z*t14793; + t13356 = t14388*t15016; + t13354 = t14370*t14817; + t13350 = t14373*t15016; + t13346 = x*t15013; + t13345 = x*t14761; + t13342 = z*t15026; + t13341 = x*t14619; + t13338 = z*t14756; + t13335 = t14322*t15016; + t13332 = t14320*t15016; + t13329 = t14329*t14801; + t13325 = t14366*t14817; + t13320 = t14355*t14801; + t13312 = t14339*t14684; + t13311 = y*t13974; + t13309 = x*t14679; + t13306 = t14909*t15069; + t13305 = t14331*t14801; + t13295 = t14377*t15016; + t13290 = t14366*t14801; + t13286 = t14123*t15069; + t13284 = z*t14635; + t13283 = x*t14758; + t13281 = t14453*t14740; + t13278 = t14124*t15068; + t13276 = x*t14787; + t13273 = t14380*t15067; + t13271 = z*t14634; + t13265 = t14857*t15069; + t13263 = t14121*t15068; + t13257 = t14381*t15031; + t13255 = t14367*t14801; + t13254 = t14838*t15069; + t13253 = z*t14601; + t13245 = t14334*t14801; + t13243 = t14307*t14805; + t13240 = t14371*t14801; + t13239 = x*t14755; + t13235 = t14308*t14704; + t13223 = t14381*t14817; + t13222 = t14334*t14817; + t13219 = t14456*t15026; + t13217 = t14122*t15069; + t13207 = t14456*t14756; + t13201 = x*t14621; + t13200 = t14454*t14759; + t13196 = t14456*t15030; + t13195 = z*t14584; + t13188 = t14367*t14817; + t13186 = x*t14802; + t13183 = t14456*t14681; + t13180 = t14242*t15016; + t13176 = z*t14681; + t13159 = t14212*t15016; + t13154 = t14454*t14753; + t13149 = t14274*t14704; + t13146 = x*t14784; + t13145 = t14456*t14701; + t13142 = y*t13805; + t13141 = y*t13815; + t13140 = y*t13871; + t13137 = x*t15014; + t13131 = t14245*t15067; + t13128 = z*t14701; + t13113 = z*t14797; + t13107 = t14456*t15015; + t13102 = t14228*t15031; + t13097 = t14294*t14684; + t13095 = t14300*t14801; + t13093 = t14101*t15069; + t13088 = x*t15033; + t13084 = t14849*t15068; + t13081 = x*t14746; + t13078 = t14457*t14610; + t13071 = t14304*t14801; + t13069 = t14278*t15031; + t13068 = z*t14773; + t13062 = z*t14786; + t13057 = z*t14798; + t13050 = t14245*t15016; + t13047 = z*t14606; + t13037 = z*t14776; + t13032 = z*t14696; + t13025 = t14206*t14817; + t13015 = z*t14774; + t13005 = t14250*t15031; + t13004 = t14243*t14805; + t13001 = t14453*t13886; + t12998 = t14453*t13880; + t12996 = t14830*t15068; + t12995 = t14250*t15067; + t12990 = y*t13801; + t12989 = t14291*t14801; + t12987 = z*t14815; + t12983 = t14986*t15069; + t12979 = t14253*t14817; + t12976 = z*t14586; + t12974 = t14110*t15068; + t12972 = t14975*t15068; + t12963 = z*t14594; + t12958 = t14208*t14684; + t12952 = t14249*t14801; + t12950 = t14208*t14817; + t12945 = t14248*t15031; + t12940 = t14254*t14801; + t12936 = t14219*t15031; + t12926 = t14293*t15031; + t12925 = t14200*t14801; + t12923 = t14246*t15016; + t12917 = z*t14748; + t12902 = t14215*t15016; + t12896 = t14223*t15016; + t12894 = t14105*t15068; + t12893 = t14223*t15031; + t12890 = z*t14779; + t12888 = t14278*t15016; + t12882 = t14108*t15068; + t12878 = t14256*t14801; + t12869 = t14255*t14801; + t12868 = t14215*t15031; + t12866 = t14213*t15016; + t12865 = t14456*t15018; + t12861 = t14861*t15068; + t12860 = t14994*t15068; + t12855 = t14856*t15068; + t12854 = t14279*t15031; + t12853 = t14289*t15016; + t12851 = t14846*t15069; + t12850 = t14279*t15016; + t12845 = x*t14587; + t12833 = t14265*t15031; + t12821 = t14303*t15031; + t12820 = y*t13808; + t12819 = z*t14657; + t12810 = t14210*t15031; + t12804 = x*t14576; + t12797 = y*t13744; + t12796 = x*t15034; + t12790 = z*t14765; + t12780 = z*t14788; + t12777 = t14164*t14801; + t12773 = t14162*t15016; + t12767 = t14197*t14801; + t12761 = t14177*t15016; + t12760 = z*t14754; + t12746 = z*t14810; + t12744 = t14181*t14801; + t12733 = t14457*t14655; + t12729 = z*t14660; + t12727 = t14454*t14647; + t12725 = RATIONAL(160.0,27.0)*t14805; + t12722 = t14164*t14817; + t12720 = t14175*t15031; + t12717 = t14184*t14805; + t12707 = x*t14743; + t12700 = t14169*t15016; + t12697 = t14154*t15016; + t12691 = x*t14804; + t12682 = t14149*t14805; + t12681 = RATIONAL(49.0,864.0)*t14805; + t12676 = t14189*t15031; + t12674 = t14154*t15031; + t12670 = RATIONAL(-224.0,27.0)*t14805; + t12668 = t14169*t15031; + t12657 = t14173*t14817; + t12647 = t14142*t14684; + t12646 = RATIONAL(-343.0,216.0)*t14805; + t12644 = RATIONAL(245.0,288.0)*t14805; + t12643 = t14142*t14704; + t12640 = t14139*t14704; + t12636 = RATIONAL(245.0,216.0)*t14805; + coeff_dy_m2_m2_m2 = t13001+t13781+t14605+(t14242+t14292*t14453)*t14981+( +t13870+(t14736+t14737)*t14268)*y+t13782+t13747+t12998+t12952+t12995+t13005+ +t14612+t14641+t14656; + coeff_dy_m1_m2_m2 = x*t14775+t13412+t13415+t13145+t13841+t13734+t14462+ +t13128+t13015+t14713+t14900+t15087; + coeff_dy_0_m2_m2 = t13967+t14504+t14571*t14457+((t14916+t14317)*t14457+ +t15054*t14314)*y+t15117+t15284+t15289+t15295+t15334+t15382; + coeff_dy_p1_m2_m2 = t15073+(t14875+t15048)*t15059+t13469+t13439+t15074+ +t13944+t13795+t13428+t13047+t15211+t15265+t15380; + coeff_dy_p2_m2_m2 = t13886+y*t13835+t13014+t13732+t13792+t13560+t13186+ +t13465+t14471+t13068+t14735+t15106+t15225; + coeff_dy_p3_m2_m2 = t13730+y*t13740+t13729+t14514+t13180+t13183+t13176+ +t15104+t15376; + coeff_dy_m2_m1_m2 = t12796+t12850+t12819+t12854+t12874+t13857+t13863+ +t14462+t14454*t14832+t14702+t14989+t15204+t15384; + coeff_dy_m1_m1_m2 = t13553+t12780+t13905+t13851+t14469+t14262*t14574+ +t13383+t12777+t15124+t15259+t15319+t15378; + coeff_dy_0_m1_m2 = t14372*t14826+t13894+t14486+t14555*t14457+t13558+ +t15141+t15150+t15245+t15304; + coeff_dy_p1_m1_m2 = t15080+t13973+t13547+t13550+t14491+t13545+t12767+ +t15103+t15244+t15329; + coeff_dy_p2_m1_m2 = t13931+t13830+t14480+t13536+t12773+t15078+t13146+ +t15092+t15298; + coeff_dy_p3_m1_m2 = t13159+t13154+t13783+t14542+t13780+t15148+t15196; + coeff_dy_m2_0_m2 = t14446*t14669+t13421+t13137+t13422+t13140+t13141+ +t13522+t13142+t15117+t15136+t15344; + coeff_dy_m1_0_m2 = t14543+t13520+t12760+t13677+t13507+t15116+t15141; + coeff_dy_0_0_m2 = t12902+t13586+t14457*t14833+t14688+(t14374+t14199* +t14454)*t14826+t15110+t15310+t15389; + coeff_dy_p1_0_m2 = t13682+t13505+t14507+t12890+t15138+t15170+t15243; + coeff_dy_p2_0_m2 = t13666+t13492+t14530+t14938+t14979+t15163+t15165; + coeff_dy_p3_0_m2 = t14547+t14977+t15001+t15218+t15370; + coeff_dy_m2_p1_m2 = t14478+(t14917+t14361)*t14981+t15074+t13834+t13780+ +t13492+t13476+t13102+t13113+t15234+t15236; + coeff_dy_m1_p1_m2 = t14484+t12746+t13682+t13941+t13830+t13815+t13459+ +t14677+t15080+t15142; + coeff_dy_0_p1_m2 = t13973+t14552*t14457+t14381*t14826+t14492+t13062+ +t14718+t15123+t15170+t15352; + coeff_dy_p1_p1_m2 = t14468+t13586+t13057+t13905+t13677+t13894+t13426+ +t14247*t14574+t14637+t15084+t15399; + coeff_dy_p2_p1_m2 = t12761+t14467+t13851+t14026+t13522+t13107+t14710+ +t15082+t15094; + coeff_dy_p3_p1_m2 = t12790+t13866+t13864+t14517+t13200+t15000+t15128+ +t15299; + coeff_dy_m2_p2_m2 = t13847+t13147+t13081+t13093+t13088+t14694+t14471+ +t13078+t13071+t15114+t15274+t15298+t15376; + coeff_dy_m1_p2_m2 = t13547+t12744+t13836+t14490+t13792+t13435+t13037+ +t15077+t15078; + coeff_dy_0_p2_m2 = t13640+t13944+t14334*t14826+t14569*t14457+t14482+ +t14624+t14676+t15165+t15202; + coeff_dy_p1_p2_m2 = t13820+t13967+t12729+t14479+t13390+t13383+t14659+ +t15094+t15098; + coeff_dy_p2_p2_m2 = t14376*t14574+t12974+t14612+t13759+t14713+t13384+ +t12987+t14702+t15115+t15121+t15259+t15290; + coeff_dy_p3_p2_m2 = t12976+t13694+t13782+t14533+t15145+t15164+t15246; + coeff_dy_m2_p3_m2 = t14453*t13754+t13131+t13185+t13095+t13084+t13050+ +t14735+t14988+t15104+t15162; + coeff_dy_m1_p3_m2 = t12851+t13428+t14508+t13032+t12797+t15148+t15200; + coeff_dy_0_p3_m2 = t13419+t14376*t14974+t13104+t14371*t14826+t14510+ +t14638+t15218+t15336; + coeff_dy_p1_p3_m2 = t13412+t13394+t14500+t12989+t13395+t12990+t15128+ +t15183; + coeff_dy_p2_p3_m2 = t14533+t13372+t12983+t12972+t14605+t15179+t15180; + coeff_dy_p3_p3_m2 = t12963+t12998+t14245*t14574+t14549+t14906+t15351; + coeff_dy_m2_m2_m1 = t15087+t13826+t15001+t12945+y*t13996+t14730+t12958+ +t14673+t12950+t15204+t15279+t15330+t15359; + coeff_dy_m1_m2_m1 = t14644+t12949+t15124+t13702+t13342+(RATIONAL(25.0, +64.0)*t14453+RATIONAL(25.0,192.0))*t14981+t13345+t14666+t13350+t13341+t12717+ +t15134+t15256+t15332; + coeff_dy_0_m2_m1 = t13918+t14486+(t14330*t14456+t14449*z)*y+t14573*t14457 ++t13338+t14715+t15109+t15187+t15362; + coeff_dy_p1_m2_m1 = t15076+t14045+t14491+t13433+t13515+t13449+t15120+ +t15258+t15316; + coeff_dy_p2_m2_m1 = t12996+t12845+t13723+t14480+t13407+t13255+t14708+ +t15096+t15099; + coeff_dy_p3_m2_m1 = t13712+t13394+t13824+t13369+t14532+t15131+t15196; + coeff_dy_m2_m1_m1 = t13988+t12720+t13842+t14262*t14575+t14469+t13356+ +t13281+t12722+t15134+t15222+t15323+t15373; + coeff_dy_m1_m1_m1 = t13832+t12936+t14618+((t14185*t14455+t14241*x)*t14457 ++(t14241*z+t14185*t14456+RATIONAL(125.0,32.0)*t14457)*t14454)*y+t13346+t12940+ +t14073+t14076+t12645+t12644+t13978+(RATIONAL(-175.0,64.0)*t14453+RATIONAL(-25.0 +,24.0))*t14981+t12643+t12647+t14623+t14680; + coeff_dy_0_m1_m1 = t14521+t14561*t14457+(t14256*t14456+t14442*z+(t14353* +t14455+t14356)*t14457)*y+t12938+t13332+t14719+t15292+t15320+t15341+t15343+ +t15347; + coeff_dy_p1_m1_m1 = t12926+t12925+(t14343*t14455+t14207*x)*t15059+t13920+ +t12640+t14470+t13335+t14725+t15122+t15275+t15364; + coeff_dy_p2_m1_m1 = t13550+t14460+(t14166*t14455+t14240*x)*t15059+t14043+ +t14055+t12917+t13329+t13149+t12707+t14627+t15112+t15325; + coeff_dy_p3_m1_m1 = t14036+t14240*t14816+t13878+t13413+t14526+t12727+ +t14931+t15212+t15301; + coeff_dy_m2_0_m1 = t14543+t13361+t12676+t13633+t13201+t15109+t15146; + coeff_dy_m1_0_m1 = t12866+t13253+t13354+RATIONAL(25.0,4.0)*t14669+t12646+ +t12711+t14682+t14972+t14995+t15174+t15320; + coeff_dy_0_0_m1 = t13312+t14423*t14974+t12696+t12697+((t14244+t14151* +t14454)*t14456+(t14155*t14454+t14348)*z)*y+t14705+t14717+t15392+t15394; + coeff_dy_p1_0_m1 = t14509+t13325+t12700+t13320+t14960+t15144+t15194; + coeff_dy_p2_0_m1 = t14540+t13617+t13309+t14943+t14953+t15181+t15182; + coeff_dy_p3_0_m1 = t13311+t13614+t14511+t15300+t15397; + coeff_dy_m2_p1_m1 = t15076+t14484+t13610+t13779+t13306+t13309+t15102+ +t15301+t15381; + coeff_dy_m1_p1_m1 = (RATIONAL(25.0,24.0)+RATIONAL(-25.0,4.0)*t14453)* +t14981+t12896+t13325+t12636+t14470+t13756+t12893+t13290+t14627+t15090+t15214; + coeff_dy_0_p1_m1 = t13920+t14465+(t14255*t14456+t14320*z)*y+t14563*t14457 ++t12888+t14668+t15144+t15154+t15358; + coeff_dy_p1_p1_m1 = t14461+t12810+t14073+(t14167*z+t14190*t14456)*t15041+ +t13354+t13312+t12923+t13353+t15113+t15268+t15324+t15343; + coeff_dy_p2_p1_m1 = t12691+t13832+t15086+t13611+t14466+t13201+t15088+ +t15269+t15270; + coeff_dy_p3_p1_m1 = t14527+t13613+t13295+t13843+t13624+t15152+t15167+ +t15323; + coeff_dy_m2_p2_m1 = t13286+t15085+t13824+t14490+t12882+t13284+t15096+ +t15277+t15325; + coeff_dy_m1_p2_m1 = t13601+t14460+(RATIONAL(-25.0,192.0)+RATIONAL(175.0, +64.0)*t14453)*t14981+t12682+t13815+t13723+t13495+t12878+t13278+t14725+t15118+ +t15291; + coeff_dy_0_p2_m1 = t14045+t14488+t13599+(t14431*z+t14331*t14456)*y+t14568 +*t14457+t14674+t14687+t15182+t15208; + coeff_dy_p1_p2_m1 = t12869+t13689+t13918+t13594+t14466+t13263+t14623+ +t15083+t15091; + coeff_dy_p2_p2_m1 = t12894+t13872+t14493+t13305+t12647+t12722+(t14387* +t14456+t14433*z)*t15041+t15093+t15238+t15279+t15332; + coeff_dy_p3_p2_m1 = t13826+t13721+t13217+t14525+t13195+t15135+t15166; + coeff_dy_m2_p3_m1 = t13147+t12820+t12845+t12860+t14532+t13200+t15189+ +t15200; + coeff_dy_m1_p3_m1 = t13271+t12681+t13273+RATIONAL(-25.0,64.0)*t14669+ +t14940+t14990+t15210+t15212+t15258+t15337; + coeff_dy_0_p3_m1 = t14457*t14919+t13265+(t14413*z+t14368*t14456)*y+t14511 ++t15151+t15285+t15315; + coeff_dy_p1_p3_m1 = t12861+t13341+t13254+t14515+t14653+t15152+t15155; + coeff_dy_p2_p3_m1 = t12855+t12853+t14525+t13245+t12950+t15133+t15206; + coeff_dy_p3_p3_m1 = t12958+t13240+(t14273*z+t14994)*t15041+t14545+t14937+ +t15335; + coeff_dy_m2_m2_0 = t14504+t14571*t14454+(t15061*t14314+(t14889+t14317)* +t14454)*y+t13239+t15136+t15240+t15273+t15302+t15318+t15338; + coeff_dy_m1_m2_0 = t14573*t14454+t13562+(t14449*x+t14330*t14455)*y+t14046 ++t13758+t14485+t15116+t15187+t15282+t15342; + coeff_dy_0_m2_0 = t14367+t14982+(t14329*t14457+RATIONAL(1.0,4.0))*t14453+ +t13004+t14522+(t14433+t14905*t14435)*y+(t14170*t14457+t14379+(t14329+t14211* +t14457)*t14453)*t14454+t14712+t15110+t15353; + coeff_dy_p1_m2_0 = t14472+t14002+(t15055+t14944)*y+t13471+t14553*t14454+ +t14729+t15138+t15207+t15228; + coeff_dy_p2_m2_0 = t14475+t13983+(t15060+t14379*t14455)*y+t13276+t14560* +t14454+t14723+t14728+t15156+t15163; + coeff_dy_p3_m2_0 = t14363*t15066+t13857+t12834+t14562*t14454+t14528+ +t14724+t15263+t15370; + coeff_dy_m2_m1_0 = t14372*t14825+t13939+t14485+t14555*t14454+t13257+ +t15146+t15150+t15242+t15308; + coeff_dy_m1_m1_0 = t13922+t14521+t14561*t14454+(t14442*x+t14256*t14455+( +t14353*t14456+t14356)*t14454)*y+t14698+t15174+t15276+t15294+t15346+t15348; + coeff_dy_0_m1_0 = t15004+(RATIONAL(-7.0,4.0)+t14236*t14457)*t14453+t14421 ++(t14428+t14905*t14366)*y+t14497+(t14332+t14221*t14457+(RATIONAL(-343.0,36.0)* +t14457+t14236)*t14453)*t14454+t13243+t14711+t15250+t15331+t15394; + coeff_dy_p1_m1_0 = t13538+(t14444*x+t14370*t14455)*y+t14567*t14454+t14474 ++t14652+t15153+t15194+t15312+t15313; + coeff_dy_p2_m1_0 = t13283+t14089+t14483+(t14395*x+t14254*t14455)*y+t14550 +*t14454+t14643+t14691+t15181+t15205; + coeff_dy_p3_m1_0 = t14009+t14395*t15066+t14570*t14454+t14498+t15100+ +t15287+t15397; + coeff_dy_m2_0_0 = t14454*t14833+t13596+t12868+t14522+t14678+(t14374+ +t14199*t14457)*t14825+t15389; + coeff_dy_m1_0_0 = t12674+t14423*t14959+((t14151*t14457+t14244)*t14455+( +t14155*t14457+t14348)*x)*y+t14497+t15215+t15223+t15392; + coeff_dy_0_0_0 = t12670+(RATIONAL(4.0,1.0)+t14399*t14457+(RATIONAL(196.0, +9.0)*t14457+t14399)*t14454)*t14453+(t14408+t14905*t14407+(t14192*t14455+t14403) +*t14457+(RATIONAL(-686.0,27.0)*t14457+t14403+t14192*t14456)*t14454)*y+t14665+ +t15257; + coeff_dy_p1_0_0 = t14454*t14948+t13235+t12668+((t14193*t14457+t14327)* +t14455+(t14360+t14172*t14457)*x)*y+t14537+t14645+t15272; + coeff_dy_p2_0_0 = t13581+t14454*t14844+t12833+((t14153*t14457+t14229)* +t14455+t14565*x)*y+t14499+t14588+t15237; + coeff_dy_p3_0_0 = t12832+t13579+t14454*t14930+t14565*t15066+t14630+t15224 ++t15388; + coeff_dy_m2_p1_0 = t14381*t14825+t12821+t13935+t14472+t14552*t14454+ +t14588+t15123+t15213+t15287; + coeff_dy_m1_p1_0 = t13069+t14034+t14563*t14454+(t14255*t14455+t14320*x)*y ++t14474+t14645+t14691+t15154+t15168; + coeff_dy_0_p1_0 = t15003+t14537+t12725+(t14366+t14905*t14307)*y+t14431+( +t14252*t14457+t14347+(t14378+RATIONAL(-196.0,9.0)*t14457)*t14453)*t14454+( +t14378*t14457+RATIONAL(-4.0,1.0))*t14453+t14604+t15105+t15313; + coeff_dy_p1_p1_0 = t14564*t14454+t13816+(t14322*x+t14355*t14455+(t14163* +t14456+t14393)*t14454)*y+t14519+t14711+t15198+t15215+t15257+t15348+t15372; + coeff_dy_p2_p1_0 = t14494+t14075+(t14200*t14455+t14406*x)*y+t12865+t14566 +*t14454+t14678+t15119+t15186+t15346; + coeff_dy_p3_p1_0 = t14813+t13954+t14557*t14454+t14523+t15111+t15233+ +t15308; + coeff_dy_m2_p2_0 = t14334*t14825+t14475+t13929+t13578+t14569*t14454+ +t14643+t14724+t15188+t15202; + coeff_dy_m1_p2_0 = t14568*t14454+t13908+t14483+t13573+(t14331*t14455+ +t14431*x)*y+t14652+t14723+t15184+t15208; + coeff_dy_0_p2_0 = t14334+t13442+(-1.0+t14905*t14430)*y+(t14196*t14457+ +t14330+(t14277+RATIONAL(343.0,36.0)*t14457)*t14453)*t14454+(RATIONAL(7.0,4.0)+ +t14277*t14457)*t14453+t14851+t14499+t14729+t15366+t15390+t15391; + coeff_dy_p1_p2_0 = t14494+t14554*t14454+t13655+(t14439*t14455+t14421*x)*y ++t13353+t15201+t15209+t15221+t15276+t15353; + coeff_dy_p2_p2_0 = t13628+t14502+t14556*t14454+(t14367*x+t14329*t14455+( +t14419+t14431*t14456)*t14454)*y+t14629+t15175+t15242+t15273+t15294+t15342; + coeff_dy_p3_p2_0 = t14367*t15066+t13834+t14559*t14454+t14535+t15130+ +t15302+t15340; + coeff_dy_m2_p3_0 = t13415+t14376*t14959+t13000+t14371*t14825+t14528+ +t14728+t15336+t15375; + coeff_dy_m1_p3_0 = t13219+t14454*t14919+(t14368*t14455+t14413*x)*y+t14531 ++t15100+t15228+t15315; + coeff_dy_0_p3_0 = t13207+(t14434+t14905*t14449)*y+(t14432+t14331*t14457+( +t14331+t14230*t14457)*t14454)*t14453+t14503+t15224+t15271; + coeff_dy_p1_p3_0 = t14722+t13196+(t14446*x+t14422*t14455)*y+t14536+t15111 ++t15282+t15396; + coeff_dy_p2_p3_0 = t14450*t14959+t13439+(t14389*x+t14392*t14455)*y+t14496 ++t15130+t15260+t15338; + coeff_dy_p3_p3_0 = t14454*t14957+t13061+t13078+(t14389*t14455+(t14946+ +t14371)*t14454)*y+t14964+t15240+t15383; + coeff_dy_m2_m2_p1 = t15073+t14478+t13394+(t14980+t14383*z)*t15041+t13929+ +t13743+t13276+t13200+t13025+t15217+t15254; + coeff_dy_m1_m2_p1 = t13271+t13908+t13471+t13407+t14476+t14690+t14706+ +t15120+t15142; + coeff_dy_0_m2_p1 = t14492+(t14422*z+t14925)*y+t13515+t14553*t14457+t15125 ++t15207+t15285+t15296+t15366; + coeff_dy_p1_m2_p1 = t14468+t13562+t13223+t13004+t13993+t13570+t13342+( +RATIONAL(25.0,108.0)+RATIONAL(25.0,36.0)*t14453)*t14981+t13338+t14653+t15108+ +t15221; + coeff_dy_p2_m2_p1 = t13715+t12804+t14467+t13350+t13245+t13239+t14629+ +t15081+t15095; + coeff_dy_p3_m2_p1 = t13856+t13806+t13834+t13240+t14538+t14673+t15176+ +t15299; + coeff_dy_m2_m1_p1 = t13283+t13935+t13413+t13284+t14476+t14651+t14703+ +t15102+t15103; + coeff_dy_m1_m1_p1 = t13538+t14732+(t14207*z+t14343*t14456)*t15041+t14034+ +t14734+t14648+t12878+t12708+t12917+t15090+t15122+t15262; + coeff_dy_0_m1_p1 = t13800+t14465+(t14444*z+t14370*t14456)*y+t14567*t14457 ++t13335+t14604+t14687+t15153+t15173; + coeff_dy_p1_m1_p1 = t13346+t14628+(RATIONAL(-175.0,36.0)*t14453+RATIONAL( +-50.0,27.0))*t14981+t12869+t13816+t13332+t15089+t14698+t13243+t15113+t15190+ +t15339; + coeff_dy_p2_m1_p1 = t13859+t14075+t12657+t14463+t13305+t13257+t14618+ +t15079+t15086; + coeff_dy_p3_m1_p1 = t14524+t13954+t13356+t13195+t14716+t15167+t15193; + coeff_dy_m2_0_p1 = t13610+t14507+t12833+t13311+t15125+t15213+t15305; + coeff_dy_m1_0_p1 = t14509+t12668+t13290+t14953+t15168+t15173+t15393; + coeff_dy_0_0_p1 = t12700+t14457*t14948+t12666+((t14327+t14193*t14454)* +t14456+(t14360+t14172*t14454)*z)*y+t14597+t15105+t15272+t15358; + coeff_dy_p1_0_p1 = t13481+t12670+t12674+RATIONAL(100.0,9.0)*t14669+t14519 ++t12697+t14995+t15169+t15268; + coeff_dy_p2_0_p1 = t14512+t12866+t13337+t13611+t12868+t15186+t15199+ +t15333; + coeff_dy_p3_0_p1 = t13361+t13613+t14539+t15233+t15327; + coeff_dy_m2_p1_p1 = t14700+t13988+t14716+t13295+t12865+t15084+t13939+ +t13596+t13633+t14247*t14575+t15108+t15297+t15333; + coeff_dy_m1_p1_p1 = t13922+t13859+t14461+t13253+t13481+t14076+(t14167*x+ +t14190*t14455)*t15059+t15089+t15223+t15269+t15372; + coeff_dy_0_p1_p1 = (t14355*t14456+t14322*z+(t14393+t14163*t14455)*t14457) +*y+t14628+t14564*t14457+t12779+t14665+t12923+t14717+t15169+t15198+t15250+t15347 +; + coeff_dy_p1_p1_p1 = t13069+t13235+t12725+t13800+(RATIONAL(-100.0,9.0)* +t14453+RATIONAL(50.0,27.0))*t14981+((t14143*t14455+t14171*x)*t14457+(t14143* +t14456+t14171*z+RATIONAL(250.0,27.0)*t14457)*t14454)*y+t12888+t13320+t14597+ +t14732+t15214+t15275+t15312+t15393; + coeff_dy_p2_p1_p1 = t15071+t12821+t12896+(t14275*x+t14194*t14455)*t15059+ +t14089+t14055+t13617+t13581+t14648+t14686+t15195+t15251+t15305; + coeff_dy_p3_p1_p1 = t14009+t14036+t14275*t14816+t13614+t13579+t13306+ +t14529+t14651+t15177; + coeff_dy_m2_p2_p1 = t13628+t15072+t13217+t12657+t13806+t14479+t13281+ +t15095+t15318; + coeff_dy_m1_p2_p1 = t13715+t12940+t13655+t14046+t15079+t14495+t15083+ +t15238+t15339; + coeff_dy_0_p2_p1 = (t14439*t14456+t14421*z)*y+t13993+t14554*t14457+t13594 ++t14487+t14712+t14719+t15199+t15209; + coeff_dy_p1_p2_p1 = t15071+t13601+t13442+t12925+t14489+t14002+t13599+( +RATIONAL(-25.0,108.0)+RATIONAL(175.0,36.0)*t14453)*t14981+t13573+t15262+t15296; + coeff_dy_p2_p2_p1 = t13983+t14706+t13809+t15101+t14734+t14703+t13578+ +t13569+t13495+(t14437*z+t14421*t14456)*t15041+t13329+t15137+t15217; + coeff_dy_p3_p2_p1 = t13286+t13857+t13743+t14516+t14931+t15132+t15172; + coeff_dy_m2_p3_p1 = t13493+t13439+t14500+t12804+t14937+t15107+t15176; + coeff_dy_m1_p3_p1 = t14524+t13196+t13223+t12853+t15127+t15155+t15256; + coeff_dy_0_p3_p1 = t13254+t14679+(t14422*t14456+t14446*z)*y+t14539+t15140 ++t15362+t15396; + coeff_dy_p1_p3_p1 = t14298*t14669+t13265+t13449+t14529+t13273+t13219+ +t13207+t14690+t15171; + coeff_dy_p2_p3_p1 = t13415+t14518+t13025+t13255+t14940+t15147+t15172; + coeff_dy_p3_p3_p1 = t12820+t13369+(t15045+t14895)*t15041+t14548+t15254+ +t15385; + coeff_dy_m2_m2_p2 = t12996+y*t13769+t14726+t13867+t14590+t14727+t13180+ +t12822+t15106+t13095+t15114+t15277+t15278; + coeff_dy_m1_m2_p2 = t13433+t13852+t13032+t14473+t15077+t13188+t13068+ +t15099+t15291; + coeff_dy_0_m2_p2 = t13469+t13986+(t14379*t14456+t14363*z)*y+t14560*t14457 ++t14482+t14638+t14674+t15156+t15192; + coeff_dy_p1_m2_p2 = t14481+t12989+t13962+t13758+t13689+t13222+t13345+ +t15081+t15098+t15334; + coeff_dy_p2_m2_p2 = t12945+t13103+(t14386+RATIONAL(1.0,16.0)*t14453)* +t14981+t13872+t14477+t13372+t12717+t13015+t12995+t14636+t15121+t15317; + coeff_dy_p3_m2_p2 = t13721+t13757+t14501+t12963+t14656+t15160+t15164; + coeff_dy_m2_m1_p2 = t13159+t13779+t13900+t14473+t12707+t13071+t14649+ +t15085+t15092; + coeff_dy_m1_m1_p2 = t15112+t12926+t14693+t12744+(t14240*z+t14166*t14456)* +t15041+t13756+t12773+t14709+t14654+t15118+t15241+t15248; + coeff_dy_0_m1_p2 = t14550*t14457+(t14254*t14456+t14395*z)*y+t14488+t14098 ++t13545+t14668+t14676+t15158+t15205; + coeff_dy_p1_m1_p2 = t12936+t14084+t15091+t12729+t13558+t14463+t15097+ +t15324+t15350; + coeff_dy_p2_m1_p2 = t12796+t12780+t12720+t13977+t12644+t15075+t14493+ +t13384+(t14441+RATIONAL(-7.0,16.0)*t14453)*t14981+t15270+t15363; + coeff_dy_p3_m1_p2 = t12976+t14541+t12850+t13843+t13948+t15139+t15166; + coeff_dy_m2_0_p2 = t13669+t13476+t14530+t14943+t14977+t15188+t15192; + coeff_dy_m1_0_p2 = t14540+t13659+t13459+t14938+t14960+t15158+t15184; + coeff_dy_0_0_p2 = t13227+t12890+t14457*t14844+t13643+((t14229+t14153* +t14454)*t14456+t14551*z)*y+t14707+t14718+t15237+t15390; + coeff_dy_p1_0_p2 = t14512+t13636+t12902+t14972+t15157+t15201+t15399; + coeff_dy_p2_0_p2 = t13685+t12760+t12676+t12646+t14669+t14502+t13137+ +t14710+t15161; + coeff_dy_p3_0_p2 = t13141+t13200+t14534+t15280+t15340; + coeff_dy_m2_p1_p2 = t12691+t14481+t15072+t13685+t12790+t13842+t13948+ +t15082+t15344; + coeff_dy_m1_p1_p2 = t12761+t13520+t12810+t13977+t13636+t14495+t14680+ +t15088+t15097; + coeff_dy_0_p1_p2 = t14084+t13057+(t14406*z+t14200*t14456)*y+t14566*t14457 ++t14487+t14688+t15119+t15157+t15341; + coeff_dy_p1_p1_p2 = t13643+t14489+(t14275*z+t14194*t14456)*t15041+t14098+ +t13659+t12893+t13062+t15195+t15229+t15241+t15243+t15364; + coeff_dy_p2_p1_p2 = t12746+t14043+t12636+(-t14453+t14434)*t14981+t13666+ +t13669+t14464+t14693+t15137+t15236+t15381; + coeff_dy_p3_p1_p2 = t13493+t13878+t13900+t14516+t13113+t15129+t15149; + coeff_dy_m2_p2_p2 = t14376*t14575+t13757+t13781+t12819+t12894+t14477+ +t15115+t15246+t15359+t15363+t15373; + coeff_dy_m1_p2_p2 = t13733+(t14433*x+t14387*t14455)*t15059+t14636+t15093+ +t13734+t15075+t13702+t12987+t13263+t12777+t12643+t15239+t15350; + coeff_dy_0_p2_p2 = (t14367*z+t14329*t14456+(t14431*t14455+t14419)*t14457) +*y+t14715+t13962+t14659+t14556*t14457+t15161+t15175+t15284+t15292+t15293+t15304 +; + coeff_dy_p1_p2_p2 = (t14421*t14455+t14437*x)*t15059+t13640+t13986+t12640+ +t13278+t12767+t14464+t14709+t15101+t15265+t15316; + coeff_dy_p2_p2_p2 = t13088+t12682+t13867+t13852+t13708+(t14319+RATIONAL( +7.0,16.0)*t14453)*t14981+t13536+t13037+((t14324*t14455+t14396*x)*t14457+(t14396 +*z+t14432*t14457+t14324*t14456)*t14454)*y+t12882+t13149+t14649+t14654+t14708+ +t15225; + coeff_dy_p3_p2_p2 = t13712+t13730+t13093+t13154+t14396*t14816+t12897+ +t12727+t14505+t14726+t15216; + coeff_dy_m2_p3_p2 = t12855+t14513+t12952+t14906+t15160+t15179+t15317; + coeff_dy_m1_p3_p2 = t12861+t13222+t12983+t13128+t14506+t15139+t15206; + coeff_dy_0_p3_p2 = t13394+t14450*t14974+(t14389*z+t14392*t14456)*y+t14534 ++t15126+t15260+t15289; + coeff_dy_p1_p3_p2 = t14518+t13419+t13047+t13188+t14990+t15149+t15159; + coeff_dy_p2_p3_p2 = t12851+RATIONAL(-1.0,16.0)*t14669+t12860+t12681+ +t13465+t13131+t14505+t14727+t15185; + coeff_dy_p3_p3_p2 = t13050+t13176+t12830+(t15043+t14856)*t15041+t14590+ +t15253+t15303; + coeff_dy_m2_m2_p3 = t13847+t13097+t13713+y*t13783+t14514+t13186+t14984+ +t15008+t15162; + coeff_dy_m1_m2_p3 = t13424+t13439+t13836+t13716+t14508+t15131+t15191; + coeff_dy_0_m2_p3 = t14363*t15042+t14562*t14457+t14510+t14624+t14989+ +t15226+t15263; + coeff_dy_p1_m2_p3 = t13820+t13415+t13780+t14538+t14996+t15178+t15183; + coeff_dy_p2_m2_p3 = t13703+t13759+t14501+t13005+t14890+t15143+t15180; + coeff_dy_p3_m2_p3 = t13694+t12956+t13695+(t14864+t14198)*t14981+t14641+ +t15311+t15351; + coeff_dy_m2_m1_p3 = t13740+t14542+t13834+t13146+t14973+t15189+t15191; + coeff_dy_m1_m1_p3 = t14240*t14764+t13941+t13735+t13930+t14526+t12733+ +t14910+t15210+t15329; + coeff_dy_0_m1_p3 = t13926+t14395*t15042+t14570*t14457+t14498+t15151+ +t15247+t15352; + coeff_dy_p1_m1_p3 = t14021+t13553+t13406+t14515+t14637+t15193+t15197; + coeff_dy_p2_m1_p3 = t13850+t14541+t12979+t12854+t14026+t15133+t15203; + coeff_dy_p3_m1_p3 = t13866+t13839+(t14280+t14998)*t14981+t14545+t15266+ +t15384; + coeff_dy_m2_0_p3 = t14547+t14900+t14979+t15226+t15375; + coeff_dy_m1_0_p3 = t13505+t13606+t14531+t15247+t15300; + coeff_dy_0_0_p3 = t14457*t14930+t13567+t14551*t15042+t14503+t15388; + coeff_dy_p1_0_p3 = t13681+t13507+t14536+t15230+t15327; + coeff_dy_p2_0_p3 = t13428+t13140+t14496+t15280+t15371; + coeff_dy_p3_0_p3 = t13142+t14453*t13950+t14544+t15383; + coeff_dy_m2_p1_p3 = t13839+t13857+t13428+t14517+t13107+t15107+t15178; + coeff_dy_m1_p1_p3 = t13850+t14527+t13426+t13681+t15127+t15197+t15378; + coeff_dy_0_p1_p3 = t14758+t14021+t14557*t14457+t14523+t15140+t15230+ +t15245; + coeff_dy_p1_p1_p3 = t13567+t13926+t13930+t14275*t14764+t13606+t14677+ +t15171+t15177+t15244+t15306; + coeff_dy_p2_p1_p3 = t13931+t13735+t14520+t13395+t13102+t15129+t15147; + coeff_dy_p3_p1_p3 = t13783+t13740+(t14962+t14268)*t14981+t15234+t15264+ +t15374+t15385; + coeff_dy_m2_p2_p3 = t12974+t12979+t13747+t13695+t14513+t15143+t15145; + coeff_dy_m1_p2_p3 = t13703+t13406+t13841+t13390+t14506+t15135+t15203; + coeff_dy_0_p2_p3 = t14367*t15042+t13780+t14559*t14457+t14535+t15126+ +t15295+t15371; + coeff_dy_p1_p2_p3 = t13795+t14520+t13864+t13435+t14910+t15132+t15159; + coeff_dy_p2_p2_p3 = t14396*t14764+t12733+t13886+t13716+t13081+t13494+ +t14595+t14973+t14984+t15185+t15216; + coeff_dy_p3_p2_p3 = t13713+t13729+(t14156+t14883)*t14981+t14546+t15274+ +t15303; + coeff_dy_m2_p3_p3 = t12972+t13001+t14245*t14575+t14549+t14890+t15311; + coeff_dy_m1_p3_p3 = t13145+t12990+(t15040+t14846)*t15059+t14996+t15266+ +t15335+t15387; + coeff_dy_0_p3_p3 = t13078+t13400+t14457*t14957+(t14389*t14456+(t14371+ +t14997)*t14457)*y+t14544+t15382; + coeff_dy_p1_p3_p3 = t12797+t13424+(t14216*x+t14983)*t15059+t14548+t15374+ +t15380; + coeff_dy_p2_p3_p3 = t13560+t13084+(t14272*x+t14986)*t15059+t14546+t15008+ +t15253; + coeff_dy_p3_p3_p3 = t13183+t14457*t14594+t13097+(t13782+(t14975+t14976)* +t14454)*y+t14988; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-dyy.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-dyy.compute.c new file mode 100644 index 0000000..872c42d --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-dyy.compute.c @@ -0,0 +1,3538 @@ +fp t27164, + t27163, + t27654, + t27161, + t27931, + t27162, + t27679, + t27645, + t27574, + t27929, + t27591, + t27407, + t27508, + t26514, + t27928, + t27023, + t27582, + t27398, + t27009, + t27449, + t26500, + t27927, + t26975, + t27473, + t27156, + t27926, + t27129, + t27501, + t27386, + t26190, + t26924, + t27480, + t27925, + t27924, + t27027, + t27459, + t27323, + t26088, + t27441, + t26995, + t27923, + t27014, + t27622, + t26646, + t26099, + t27504, + t26802, + t27922, + t27079, + t27440, + t27395, + t27088, + t27632, + t27921, + t27151, + t26934, + t27621, + t27608, + t25881, + t27619, + t27612, + t27920, + t26916, + t26237, + t27157, + t27566, + t26814, + t27919, + t26931, + t27010, + t27368, + t25890, + t27918, + t27090, + t27510, + t27046, + t27671, + t27372, + t25938, + t27917, + t27000, + t26926, + t27342, + t27916, + t26964, + t27363, + t26957, + t27426, + t27915, + t27144, + t27641, + t27128, + t27403, + t27914, + t26799, + t26640, + t26086, + t27913, + t26925, + t26494, + t27912, + t27074, + t26031, + t27063, + t27911, + t27002, + t27435, + t26428, + t27028, + t27339, + t27910, + t27409, + t26879, + t27324, + t25746, + t26881, + t27909, + t27075, + t27908, + t27059, + t27338, + t27070, + t27429, + t26749, + t27907, + t27664, + t27610, + t27093, + t26005, + t27115, + t27333, + t27906, + t27008, + t27611, + t27110, + t27643, + t27905, + t26968, + t27904, + t26978, + t26387, + t27056, + t27425, + t27345, + t27903, + t27387, + t27035, + t26033, + t27043, + t27438, + t27902, + t27107, + t27629, + t27103, + t27901, + t27004, + t27427, + t26553, + t27900, + t27036, + t27471, + t26719, + t27481, + t27384, + t26075, + t27899, + t27344, + t26014, + t27898, + t27086, + t26854, + t27365, + t26023, + t27011, + t26329, + t27897, + t27016, + t27496, + t26915, + t27346, + t27896, + t27666, + t27895, + t26783, + t27137, + t27464, + t27349, + t26185, + t27894, + t27141, + t27634, + t27160, + t26872, + t27361, + t27893, + t27099, + t27663, + t26996, + t27347, + t27892, + t26930, + t27482, + t26320, + t27094, + t26744, + t27891, + t26363, + t27038, + t27596, + t27682, + t25911, + t27890, + t26970, + t27356, + t25818, + t26935, + t27439, + t27889, + t27637, + t27605, + t25778, + t27048, + t27359, + t27888, + t27005, + t26432, + t27040, + t27550, + t27348, + t27887, + t27117, + t26043, + t27886, + t27885, + t27681, + t26048, + t27105, + t27884, + t27072, + t27489, + t26704, + t27452, + t26596, + t27883, + t27064, + t26242, + t27882, + t27025, + t27456, + t26651, + t27052, + t26861, + t27393, + t27881, + t27041, + t26855, + t27019, + t26858, + t26781, + t27880, + t27073, + t27594, + t26035, + t26572, + t26015, + t27879, + t27683, + t27436, + t27878, + t27428, + t27877, + t27116, + t26739, + t26940, + t26521, + t27876, + t26080, + t27050, + t27469, + t26757, + t27875, + t26973, + t26948, + t25888, + t27874, + t26682, + t26058, + t27873, + t27669, + t27399, + t25766, + t26997, + t27379, + t27872, + t26992, + t25776, + t27871, + t26929, + t27870, + t27380, + t27467, + t27869, + t26994, + t27474, + t27124, + t27868, + t26679, + t26830, + t26141, + t27867, + t26969, + t27866, + t27132, + t27518, + t27865, + t26692, + t26105, + t27405, + t27864, + t27061, + t27451, + t27863, + t26200, + t27058, + t27862, + t25901, + t26326, + t27861, + t27322, + t27445, + t26353, + t27860, + t27158, + t27644, + t27108, + t27423, + t27859, + t27033, + t27658, + t26951, + t27341, + t27858, + t27084, + t26774, + t26967, + t27857, + t27071, + t27408, + t27053, + t27856, + t27095, + t27649, + t26991, + t27855, + t25900, + t27854, + t26619, + t26021, + t27853, + t27585, + t27340, + t25942, + t27067, + t27410, + t27852, + t27101, + t27851, + t27039, + t27337, + t27114, + t26628, + t27850, + t27415, + t27849, + t27037, + t27330, + t27112, + t26737, + t27848, + t26999, + t27455, + t27847, + t26878, + t27488, + t26279, + t27371, + t27846, + t27845, + t27465, + t27373, + t25954, + t27374, + t27844, + t27590, + t26065, + t26953, + t27397, + t27843, + t26868, + t27360, + t27613, + t27842, + t26906, + t26224, + t27127, + t27568, + t27327, + t27841, + t27614, + t27369, + t26962, + t27413, + t26293, + t27840, + t27839, + t26803, + t27838, + t27057, + t27837, + t26675, + t27836, + t26993, + t27835, + t25775, + t27834, + t27089, + t27642, + t27833, + t26524, + t27832, + t26937, + t27468, + t26415, + t27831, + t26400, + t27830, + t26984, + t27829, + t26990, + t27563, + t27828, + t26825, + t27827, + t27026, + t27377, + t26904, + t26281, + t27826, + t27006, + t27647, + t27603, + t25799, + t26334, + t27825, + t26939, + t27824, + t27404, + t27383, + t25835, + t27823, + t27350, + t27581, + t27822, + t27505, + t26357, + t26532, + t27821, + t27460, + t27820, + t27437, + t26792, + t27819, + t27087, + t27453, + t26568, + t27818, + t27362, + t26917, + t27446, + t26254, + t27817, + t26496, + t27816, + t26833, + t27815, + t27069, + t27536, + t26044, + t27814, + t26952, + t26882, + t27813, + t25979, + t26971, + t27448, + t27812, + t27811, + t25801, + t26986, + t27430, + t27810, + t26859, + t27159, + t27667, + t26169, + t27809, + t27045, + t26963, + t27808, + t27325, + t27807, + t26371, + t25809, + t27806, + t27593, + t26061, + t26430, + t27805, + t27321, + t25871, + t27804, + t27522, + t27803, + t26613, + t27802, + t27065, + t27146, + t27672, + t27801, + t26386, + t27800, + t27055, + t27533, + t27367, + t27799, + t27001, + t27652, + t26726, + t27798, + t27378, + t26892, + t27419, + t26266, + t27797, + t27796, + t27111, + t27118, + t27795, + t26111, + t27096, + t27420, + t26681, + t27794, + t27793, + t27792, + t27139, + t27486, + t27791, + t27353, + t27385, + t25765, + t27790, + t27514, + t27789, + t27556, + t27358, + t25822, + t27788, + t27024, + t25936, + t27787, + t26350, + t25887, + t27082, + t27500, + t27786, + t27680, + t26383, + t27394, + t25929, + t27785, + t27684, + t27784, + t27120, + t27639, + t26758, + t27047, + t27351, + t27783, + t27044, + t26574, + t26024, + t27097, + t27080, + t27782, + t25930, + t27491, + t26805, + t27781, + t27030, + t27655, + t26650, + t27780, + t26965, + t27492, + t27540, + t26301, + t27779, + t26891, + t27778, + t27143, + t27625, + t26829, + t26194, + t27462, + t27777, + t26315, + t25804, + t27776, + t26512, + t25791, + t27126, + t27661, + t27775, + t27676, + t27602, + t25955, + t27624, + t27477, + t27774, + t27617, + t27329, + t27773, + t25927, + t26954, + t27772, + t26980, + t27421, + t27771, + t26903, + t27031, + t27515, + t27770, + t27066, + t27401, + t25918, + t26665, + t27769, + t26894, + t26211, + t26300, + t26120, + t27768, + t26945, + t27443, + t26472, + t26981, + t27623, + t27767, + t27766, + t27567, + t26661, + t26114, + t27765, + t27100, + t27470, + t26617, + t27764, + t27119, + t27763, + t27762, + t27336, + t26198, + t27761, + t27411, + t26649, + t27760, + t25864, + t26780, + t27759, + t27571, + t26827, + t27758, + t26877, + t27450, + t27757, + t26884, + t26988, + t26888, + t27756, + t27125, + t26806, + t26188, + t27755, + t26856, + t27400, + t26076, + t26907, + t26270, + t27754, + t27332, + t27678, + t27753, + t26921, + t27752, + t26989, + t27751, + t27668, + t26828, + t27750, + t27154, + t27535, + t26796, + t27749, + t26944, + t27748, + t26126, + t26876, + t27747, + t27335, + t26051, + t27653, + t26712, + t27746, + t26789, + t26123, + t26946, + t27526, + t27745, + t26982, + t27657, + t27478, + t27109, + t27382, + t27744, + t27743, + t26119, + t27412, + t27742, + t27741, + t27511, + t25960, + t27740, + t27558, + t27739, + t26905, + t26908, + t27060, + t27738, + t26182, + t26890, + t27630, + t27737, + t26273, + t27736, + t26639, + t25946, + t26634, + t27735, + t27068, + t27357, + t27673, + t27734, + t27677, + t27616, + t27334, + t27733, + t26938, + t27636, + t26446, + t27601, + t26074, + t27560, + t27732, + t27032, + t27731, + t26941, + t27570, + t27098, + t27376, + t27730, + t27466, + t26741, + t27729, + t26645, + t25952, + t27034, + t26577, + t27728, + t26510, + t26146, + t27727, + t27726, + t27633, + t27572, + t27150, + t27725, + t26344, + t27724, + t27049, + t27723, + t26644, + t27722, + t27721, + t26902, + t26860, + t27720, + t26898, + t27458, + t27719, + t27565, + t27718, + t27042, + t26857, + t27717, + t27716, + t27134, + t26869, + t27715, + t27714, + t27713, + t27529, + t27712, + t27457, + t26615, + t27711, + t26862, + t27551, + t27710, + t27083, + t26845, + t27709, + t26950, + t26864, + t27708, + t26715, + t25914, + t27493, + t27707, + t25917, + t26899, + t27706, + t27705, + t27543, + t27704, + t27588, + t26189, + t27656, + t27703, + t26912, + t27020, + t26927, + t27702, + t26450, + t27701, + t27598, + t26057, + t27392, + t27700, + t26853, + t27699, + t26949, + t27698, + t27697, + t26977, + t27696, + t27695, + t27414, + t27694, + t27693, + t25999, + t27692, + t27142, + t26866, + t27691, + t27003, + t27447, + t27690, + t27148, + t26880, + t26874, + t26976, + t27689, + t27688, + t26223, + t25884, + t27687, + t27521, + t25912, + t26716, + t27686, + t26627, + t27685, + t27675, + t27674, + t27670, + t27665, + t27662, + t27660, + t27102, + t27659, + t27651, + t27650, + t27648, + t27646, + t26959, + t27640, + t27638, + t27635, + t27631, + t27133, + t27628, + t27627, + t27626, + t27620, + t27618, + t27615, + t27609, + t27607, + t27606, + t26684, + t27604, + t25774, + t27600, + t25839, + t27355, + t27599, + t27475, + t27366, + t25953, + t27597, + t26936, + t27595, + t27592, + t25913, + t26714, + t27589, + t27587, + t25848, + t27586, + t27584, + t26966, + t27583, + t27580, + t26759, + t26079, + t27579, + t25846, + t27578, + t26710, + t27577, + t25919, + t27576, + t27575, + t26933, + t26050, + t27573, + t26851, + t25798, + t27569, + t27564, + t27562, + t27561, + t25807, + t27559, + t27557, + t27555, + t26106, + t27554, + t25781, + t27549, + t26808, + t27548, + t27547, + t26773, + t27546, + t25897, + t27545, + t27544, + t26942, + t27542, + t27541, + t27539, + t27538, + t27537, + t27153, + t27534, + t26402, + t27532, + t27531, + t26987, + t27530, + t26515, + t27528, + t26850, + t27390, + t26085, + t25951, + t27527, + t27525, + t26616, + t27524, + t27523, + t26637, + t27520, + t27519, + t26463, + t26583, + t25935, + t27516, + t25743, + t27513, + t27512, + t27507, + t27506, + t27503, + t25928, + t26721, + t27502, + t27499, + t26084, + t27498, + t27497, + t27495, + t27494, + t27490, + t27487, + t27485, + t27484, + t26019, + t26361, + t27483, + t26870, + t27479, + t27131, + t27472, + t26956, + t26398, + t26958, + t25780, + t27463, + t26029, + t27461, + t27454, + t27444, + t27442, + t27434, + t27433, + t27432, + t26199, + t27431, + t27424, + t27422, + t27418, + t27417, + t25792, + t27416, + t26801, + t27406, + t26666, + t27402, + t27396, + t27391, + t27389, + t27388, + t27381, + t27375, + t27007, + t27370, + t27364, + t27354, + t27352, + t26795, + t26654, + t27343, + t26366, + t26624, + t26612, + t27331, + t27328, + t27326, + t26337, + t26336, + t26811, + t26680, + t27320, + t27319, + t27130, + t27318, + t27317, + t27316, + t27104, + t27315, + t26168, + t27313, + t27312, + t26039, + t27013, + t27311, + t27310, + t27309, + t26108, + t27308, + t26136, + t27307, + t27306, + t27305, + t27304, + t27303, + t27302, + t26167, + t25924, + t27301, + t27300, + t27299, + t27298, + t27297, + t26187, + t27296, + t27295, + t27294, + t26174, + t27293, + t27292, + t25796, + t27291, + t25831, + t26998, + t27290, + t27289, + t26913, + t25744, + t27288, + t26095, + t27287, + t27286, + t27285, + t27284, + t27283, + t27282, + t27281, + t25889, + t27280, + t27279, + t27278, + t26947, + t25788, + t27277, + t27276, + t27275, + t27274, + t27273, + t27272, + t25845, + t27271, + t27270, + t27269, + t27268, + t27267, + t27266, + t27265, + t27264, + t26788, + t27263, + t27262, + t26656, + t27261, + t26621, + t26620, + t26321, + t26251, + t26231, + t27260, + t26972, + t27259, + t27258, + t26476, + t27256, + t26479, + t27255, + t25908, + t27254, + t27253, + t26449, + t27252, + t27251, + t26324, + t27250, + t27249, + t27248, + t27247, + t26485, + t26508, + t27246, + t26943, + t26405, + t27245, + t27244, + t27243, + t27242, + t26519, + t27241, + t26499, + t27240, + t27239, + t27062, + t27238, + t27237, + t27236, + t26766, + t27235, + t27234, + t27233, + t27232, + t26352, + t27231, + t27230, + t26797, + t27229, + t26896, + t27228, + t27227, + t27226, + t26920, + t27225, + t27224, + t26605, + t27223, + t26239, + t27222, + t27221, + t27220, + t27219, + t26974, + t26457, + t27218, + t27217, + t27216, + t26702, + t27215, + t27214, + t27213, + t27212, + t26503, + t27211, + t26791, + t27210, + t27209, + t26669, + t27208, + t27207, + t27206, + t27205, + t27204, + t27203, + t26474, + t27202, + t26269, + t27201, + t26618, + t27200, + t27199, + t27198, + t27197, + t27196, + t27195, + t27194, + t27193, + t27192, + t26928, + t27191, + t26961, + t26522, + t27190, + t27189, + t26413, + t27188, + t27187, + t27186, + t26523, + t27185, + t27184, + t26278, + t27183, + t27182, + t27181, + t27180, + t26979, + t26385, + t27179, + t27178, + t27177, + t27176, + t27175, + t27174, + t27173, + t27172, + t27171, + t26606, + t27170, + t26663, + t27169, + t27168, + t27167, + t27155, + t27152, + t27149, + t27147, + t27145, + t27140, + t27138, + t27136, + t27123, + t27122, + t27121, + t27106, + t27092, + t27091, + t27085, + t27081, + t27078, + t27077, + t27076, + t27054, + t27051, + t27022, + t27017, + t27015, + t27012, + t26985, + t26983, + t26960, + t26955, + t26932, + t26922, + t26919, + t26918, + t26914, + t26911, + t26909, + t26901, + t26900, + t26897, + t26895, + t26893, + t26889, + t26887, + t26886, + t26885, + t26875, + t26831, + t26817, + t26813, + t26812, + t26800, + t26787, + t26782, + t26776, + t26771, + t26770, + t26769, + t26765, + t26761, + t26754, + t26748, + t26742, + t26732, + t26729, + t26724, + t26722, + t26720, + t26713, + t26709, + t26707, + t26706, + t26698, + t26697, + t26696, + t26694, + t26693, + t26690, + t26689, + t26685, + t26683, + t26673, + t26672, + t26671, + t26668, + t26660, + t26657, + t26642, + t26641, + t26633, + t26610, + t26601, + t26598, + t26592, + t26589, + t26586, + t26579, + t26578, + t26575, + t26561, + t26559, + t26557, + t26554, + t26552, + t26551, + t26549, + t26548, + t26547, + t26545, + t26544, + t26543, + t26540, + t26539, + t26538, + t26534, + t26527, + t26526, + t26525, + t26520, + t26517, + t26507, + t26502, + t26498, + t26484, + t26478, + t26470, + t26469, + t26468, + t26467, + t26466, + t26464, + t26454, + t26445, + t26443, + t26442, + t26441, + t26440, + t26439, + t26435, + t26431, + t26426, + t26418, + t26409, + t26408, + t26404, + t26393, + t26392, + t26389, + t26384, + t26381, + t26378, + t26377, + t26376, + t26372, + t26365, + t26359, + t26349, + t26346, + t26342, + t26339, + t26333, + t26319, + t26318, + t26312, + t26310, + t26304, + t26303, + t26302, + t26295, + t26289, + t26285, + t26283, + t26271, + t26260, + t26255, + t26253, + t26250, + t26248, + t26246, + t26236, + t26234, + t26233, + t26230, + t26229, + t26227, + t26219, + t26216, + t26215, + t26207, + t26206, + t26205, + t26201, + t26195, + t26193, + t26191, + t26186, + t26184, + t26177, + t26170, + t26164, + t26163, + t26161, + t26160, + t26157, + t26156, + t26154, + t26152, + t26151, + t26149, + t26148, + t26144, + t26139, + t26137, + t26135, + t26133, + t26132, + t26128, + t26127, + t26124, + t26121, + t26117, + t26113, + t26110, + t26109, + t26107, + t26101, + t26087, + t26083, + t26078, + t26077, + t26073, + t26072, + t26068, + t26063, + t26060, + t26055, + t26052, + t26049, + t26047, + t26045, + t26041, + t26010, + t26009, + t26002, + t26000, + t25996, + t25992, + t25989, + t25981, + t25977, + t25973, + t25972, + t25968, + t25965, + t25958, + t25957, + t25956, + t25944, + t25943, + t25940, + t25933, + t25931, + t25906, + t25902, + t25894, + t25893, + t25882, + t25875, + t25872, + t25866, + t25863, + t25851, + t25838, + t25833, + t25830, + t25824, + t25821, + t25819, + t25813, + t25810, + t25802, + t25795, + t25793, + t25790, + t25770, + t25769, + t25763, + t25753; + t27164 = z*z; + t27163 = t27164*z; + t27654 = z+t27163; + t27161 = x*x; + t27931 = t27654*t27161; + t27162 = t27161*x; + t27679 = x+t27162; + t27645 = z*t27161; + t27574 = t27163*t27161; + t27929 = t27574+t27645; + t27591 = t27161*t27164; + t27407 = y*t27591; + t27508 = t27162*t27163; + t26514 = RATIONAL(-70.0,27.0)*t27508; + t27928 = t26514+RATIONAL(70.0,3.0)*t27407; + t27023 = RATIONAL(-10.0,9.0); + t27582 = t27023*t27164; + t27398 = y*t27582; + t27009 = RATIONAL(10.0,27.0); + t27449 = t27162*t27009; + t26500 = t27163*t27449; + t27927 = t27161*t27398+t26500; + t26975 = RATIONAL(-5.0,216.0); + t27473 = t27162*t26975; + t27156 = RATIONAL(1.0,9.0); + t27926 = t27156*t27407+t27163*t27473; + t27129 = RATIONAL(-8.0,9.0); + t27501 = t27163*t27129; + t27386 = y*t27501; + t26190 = t27162*t27386; + t26924 = RATIONAL(49.0,54.0); + t27480 = t26924*t27164; + t27925 = t27161*t27480+t26190; + t27924 = RATIONAL(280.0,9.0)*t27407+RATIONAL(-160.0,27.0)*t27508; + t27027 = RATIONAL(1.0,18.0); + t27459 = t27027*t27161; + t27323 = y*t27459; + t26088 = t27163*t27323; + t27441 = t27162*t27164; + t26995 = RATIONAL(-7.0,108.0); + t27923 = t26995*t27441+t26088; + t27014 = RATIONAL(-1.0,18.0); + t27622 = x*t27014; + t26646 = z*t27622; + t26099 = y*t26646; + t27504 = t27156*t27161; + t26802 = z*t27504; + t27922 = t26099+y*t26802; + t27079 = RATIONAL(-7.0,72.0); + t27440 = t27079*t27164; + t27395 = y*t27440; + t27088 = RATIONAL(1.0,24.0); + t27632 = y*t27088; + t27921 = (t27395+t27632)*x; + t27151 = RATIONAL(-7.0,6.0); + t26934 = RATIONAL(49.0,36.0); + t27621 = y*t27162; + t27608 = z*t27621; + t25881 = t26934*t27608; + t27619 = y*t27161; + t27612 = z*t27619; + t27920 = t27151*t27612+t25881; + t26916 = RATIONAL(-49.0,216.0); + t26237 = t26916*t27508; + t27157 = RATIONAL(5.0,6.0); + t27566 = t27161*t27157; + t26814 = t27164*t27566; + t27919 = t26237+y*t26814; + t26931 = RATIONAL(5.0,144.0); + t27010 = RATIONAL(-7.0,288.0); + t27368 = t27010*t27619; + t25890 = t27163*t27368; + t27918 = t26931*t27441+t25890; + t27090 = RATIONAL(-7.0,36.0); + t27510 = t27090*t27161; + t27046 = RATIONAL(7.0,18.0); + t27671 = y*t27164; + t27372 = t27046*t27671; + t25938 = t27162*t27372; + t27917 = t25938+t27163*t27510; + t27000 = RATIONAL(1.0,144.0); + t26926 = RATIONAL(-7.0,144.0); + t27342 = t26926*t27671; + t27916 = t27000*t27508+t27161*t27342; + t26964 = RATIONAL(-1.0,288.0); + t27363 = t26964*t27619; + t26957 = RATIONAL(1.0,432.0); + t27426 = t27162*t26957; + t27915 = t27163*t27363+t27164*t27426; + t27144 = RATIONAL(1.0,3.0); + t27641 = y*t27144; + t27128 = RATIONAL(-7.0,9.0); + t27403 = t27128*t27671; + t27914 = (t27641+t27403)*x; + t26799 = t27163*t27504; + t26640 = t27163*t27622; + t26086 = y*t26640; + t27913 = y*t26799+t26086; + t26925 = RATIONAL(35.0,18.0); + t26494 = t26925*t27508; + t27912 = RATIONAL(-49.0,12.0)*t27407+t26494; + t27074 = RATIONAL(64.0,9.0); + t26031 = t27074*t27608; + t27063 = RATIONAL(-80.0,9.0); + t27911 = t27063*t27612+t26031; + t27002 = RATIONAL(7.0,144.0); + t27435 = t27163*t27002; + t26428 = t27162*t27435; + t27028 = RATIONAL(-7.0,48.0); + t27339 = t27028*t27619; + t27910 = t27164*t27339+t26428; + t27409 = y*t27441; + t26879 = RATIONAL(49.0,288.0); + t27324 = t26879*t27621; + t25746 = z*t27324; + t26881 = RATIONAL(-49.0,144.0); + t27909 = t26881*t27409+t25746; + t27075 = RATIONAL(16.0,9.0); + t27908 = RATIONAL(-245.0,18.0)*t27407+t27075*t27508; + t27059 = RATIONAL(-5.0,72.0); + t27338 = t27059*t27671; + t27070 = RATIONAL(1.0,54.0); + t27429 = t27070*t27162; + t26749 = t27163*t27429; + t27907 = t27161*t27338+t26749; + t27664 = x*t27163; + t27610 = y*t27664; + t27093 = RATIONAL(-64.0,9.0); + t26005 = t27093*t27610; + t27115 = RATIONAL(40.0,3.0); + t27333 = t27115*t27619; + t27906 = t26005+t27163*t27333; + t27008 = RATIONAL(-112.0,9.0); + t27611 = x*t27671; + t27110 = RATIONAL(16.0,3.0); + t27643 = y*t27110; + t27905 = t27008*t27611+x*t27643; + t26968 = RATIONAL(-35.0,18.0); + t27904 = RATIONAL(16.0,27.0)*t27508+t26968*t27407; + t26978 = RATIONAL(14.0,27.0); + t26387 = t26978*t27508; + t27056 = RATIONAL(-14.0,9.0); + t27425 = t27056*t27164; + t27345 = y*t27425; + t27903 = t26387+t27161*t27345; + t27387 = y*t27508; + t27035 = RATIONAL(56.0,9.0); + t26033 = t27035*t27387; + t27043 = RATIONAL(-25.0,9.0); + t27438 = t27043*t27164; + t27902 = t26033+t27161*t27438; + t27107 = RATIONAL(-1.0,24.0); + t27629 = t27107*x; + t27103 = RATIONAL(7.0,72.0); + t27901 = y*t27629+t27103*t27611; + t27004 = RATIONAL(-1.0,144.0); + t27427 = t27004*t27161; + t26553 = t27164*t27427; + t27900 = y*t26553+t27163*t27426; + t27036 = RATIONAL(-1.0,54.0); + t27471 = t27036*t27163; + t26719 = t27162*t27471; + t27481 = t27161*t27103; + t27384 = y*t27481; + t26075 = t27164*t27384; + t27899 = t26719+t26075; + t27344 = t27046*t27619; + t26014 = t27163*t27344; + t27898 = t26014+t27090*t27441; + t27086 = RATIONAL(-7.0,18.0); + t26854 = t27086*t27161; + t27365 = y*t26854; + t26023 = t27163*t27365; + t27011 = RATIONAL(35.0,72.0); + t26329 = t27011*t27441; + t27897 = t26023+t26329; + t27016 = RATIONAL(5.0,48.0); + t27496 = t27016*t27161; + t26915 = RATIONAL(-49.0,288.0); + t27346 = t26915*t27621; + t27896 = t27163*t27496+t27164*t27346; + t27666 = t27107*y; + t27895 = (t27384+t27666)*z; + t26783 = t27023*t27645; + t27137 = RATIONAL(8.0,9.0); + t27464 = t27162*t27137; + t27349 = y*t27464; + t26185 = z*t27349; + t27894 = t26185+y*t26783; + t27141 = RATIONAL(-1.0,3.0); + t27634 = t27141*z; + t27160 = RATIONAL(7.0,9.0); + t26872 = t27160*t27161; + t27361 = y*t26872; + t27893 = z*t27361+y*t27634; + t27099 = RATIONAL(-7.0,24.0); + t27663 = t27099*y; + t26996 = RATIONAL(49.0,72.0); + t27347 = t26996*t27671; + t27892 = (t27347+t27663)*x; + t26930 = RATIONAL(-35.0,72.0); + t27482 = t26930*t27161; + t26320 = t27164*t27482; + t27094 = RATIONAL(5.0,18.0); + t26744 = t27094*t27508; + t27891 = y*t26320+t26744; + t26363 = t27011*t27574; + t27038 = RATIONAL(7.0,36.0); + t27596 = t27038*t27163; + t27682 = x*y; + t25911 = t27596*t27682; + t27890 = y*t26363+t25911; + t26970 = RATIONAL(7.0,288.0); + t27356 = t26970*t27621; + t25818 = t27164*t27356; + t26935 = RATIONAL(-5.0,288.0); + t27439 = t27161*t26935; + t27889 = t25818+t27163*t27439; + t27637 = y*t27010; + t27605 = z*t27637; + t25778 = t27162*t27605; + t27048 = RATIONAL(5.0,96.0); + t27359 = t27048*t27619; + t27888 = t25778+z*t27359; + t27005 = RATIONAL(-10.0,27.0); + t26432 = t27005*t27508; + t27040 = RATIONAL(14.0,9.0); + t27550 = t27164*t27040; + t27348 = y*t27550; + t27887 = t27161*t27348+t26432; + t27117 = RATIONAL(-56.0,9.0); + t26043 = t27117*t27387; + t27886 = t26043+RATIONAL(125.0,18.0)*t27591; + t27885 = RATIONAL(224.0,27.0)*t27508+RATIONAL(-280.0,9.0)*t27407; + t27681 = z*t27682; + t26048 = RATIONAL(32.0,9.0)*t27681; + t27105 = RATIONAL(-20.0,3.0); + t27884 = t26048+t27105*t27612; + t27072 = RATIONAL(-1.0,27.0); + t27489 = t27162*t27072; + t26704 = t27163*t27489; + t27452 = t27164*t27038; + t26596 = t27161*t27452; + t27883 = y*t26596+t26704; + t27064 = RATIONAL(-40.0,9.0); + t26242 = RATIONAL(245.0,18.0)*t27591; + t27882 = y*t26242+t27064*t27508; + t27025 = RATIONAL(7.0,27.0); + t27456 = t27162*t27025; + t26651 = t27163*t27456; + t27052 = RATIONAL(-5.0,12.0); + t26861 = t27052*t27161; + t27393 = y*t26861; + t27881 = t26651+t27164*t27393; + t27041 = RATIONAL(-35.0,6.0); + t26855 = t27041*t27161; + t27019 = RATIONAL(-70.0,9.0); + t26858 = t27019*t27161; + t26781 = t27163*t26858; + t27880 = t26855+t26781; + t27073 = RATIONAL(1.0,36.0); + t27594 = t27073*t27163; + t26035 = t27594*t27682; + t26572 = t27164*t27622; + t26015 = y*t26572; + t27879 = t26035+t26015; + t27683 = y*z; + t27436 = t27079*t27161; + t27878 = z*t27632+t27436*t27683; + t27428 = t27164*t26975; + t27877 = t27162*t27428+t26088; + t27116 = RATIONAL(-5.0,18.0); + t26739 = t27116*t27508; + t26940 = RATIONAL(35.0,36.0); + t26521 = t26940*t27591; + t27876 = t26739+y*t26521; + t26080 = t27040*t27681; + t27050 = RATIONAL(35.0,9.0); + t27469 = t27050*t27161; + t26757 = z*t27469; + t27875 = y*t26757+t26080; + t26973 = RATIONAL(35.0,12.0); + t26948 = RATIONAL(-49.0,36.0); + t25888 = t26948*t27610; + t27874 = t26973*t27611+t25888; + t26682 = t27086*t27664; + t26058 = y*t26682; + t27873 = t27163*t27361+t26058; + t27669 = y*t27163; + t27399 = t26915*t27669; + t25766 = x*t27399; + t26997 = RATIONAL(35.0,96.0); + t27379 = t26997*t27671; + t27872 = t25766+x*t27379; + t26992 = RATIONAL(-49.0,48.0); + t25776 = z*t27346; + t27871 = t26992*t27409+t25776; + t26929 = RATIONAL(35.0,54.0); + t27870 = t26929*t27441+t27161*t27386; + t27380 = t26996*t27619; + t27467 = t27099*t27163; + t27869 = y*t27467+t27163*t27380; + t26994 = RATIONAL(7.0,216.0); + t27474 = t26994*t27162; + t27124 = RATIONAL(-1.0,9.0); + t27868 = t27124*t27407+t27163*t27474; + t26679 = x*t27582; + t26830 = t27137*t27664; + t26141 = y*t26830; + t27867 = y*t26679+t26141; + t26969 = RATIONAL(-35.0,24.0); + t27866 = t26651+t26969*t27407; + t27132 = RATIONAL(-2.0,3.0); + t27518 = t27132*t27162; + t27865 = t27162*t27348+y*t27518; + t26692 = t27027*t27664; + t26105 = y*t26692; + t27405 = t27144*t27619; + t27864 = t26105+t27163*t27405; + t27061 = RATIONAL(-8.0,27.0); + t27451 = t27163*t27061; + t27863 = t26925*t27407+t27162*t27451; + t26200 = t27163*t27349; + t27058 = RATIONAL(-16.0,9.0); + t27862 = t26200+t27058*t27409; + t25901 = t27010*t27610; + t26326 = t27161*t27435; + t27861 = t25901+y*t26326; + t27322 = t26997*t27619; + t27445 = t26926*t27163; + t26353 = t27162*t27445; + t27860 = t27164*t27322+t26353; + t27158 = RATIONAL(7.0,3.0); + t27644 = y*t27158; + t27108 = RATIONAL(-49.0,9.0); + t27423 = t27164*t27108; + t27859 = t27423*t27682+x*t27644; + t27033 = RATIONAL(7.0,24.0); + t27658 = y*t27033; + t26951 = RATIONAL(-49.0,72.0); + t27341 = t26951*t27671; + t27858 = (t27341+t27658)*x; + t27084 = RATIONAL(-7.0,54.0); + t26774 = t27084*t27508; + t26967 = RATIONAL(35.0,24.0); + t27857 = t26967*t27407+t26774; + t27071 = RATIONAL(-98.0,9.0); + t27408 = y*t27574; + t27053 = RATIONAL(14.0,3.0); + t27856 = t27053*t27669+t27071*t27408; + t27095 = RATIONAL(-16.0,3.0); + t27649 = y*t27095; + t26991 = RATIONAL(112.0,9.0); + t27855 = t26991*t27611+x*t27649; + t25900 = x*t27605; + t27854 = z*t27339+t25900; + t26619 = t27046*t27664; + t26021 = y*t26619; + t27853 = t26021+t27158*t27408; + t27585 = t27086*t27162; + t27340 = y*t27585; + t25942 = t27164*t27340; + t27067 = RATIONAL(5.0,36.0); + t27410 = t27163*t27067; + t27852 = t25942+t27161*t27410; + t27101 = RATIONAL(-1.0,72.0); + t27851 = t25818+t27101*t27574; + t27039 = RATIONAL(7.0,12.0); + t27337 = t27039*t27619; + t27114 = RATIONAL(-7.0,27.0); + t26628 = t27114*t27508; + t27850 = t27164*t27337+t26628; + t27415 = t27099*t27162; + t27849 = y*t27415+t27162*t27347; + t27037 = RATIONAL(-7.0,12.0); + t27330 = t27037*t27619; + t27112 = RATIONAL(7.0,54.0); + t26737 = t27112*t27508; + t27848 = t27164*t27330+t26737; + t26999 = RATIONAL(-5.0,144.0); + t27455 = t26999*t27164; + t27847 = x*t27455+t26999*t27441; + t26878 = RATIONAL(-35.0,216.0); + t27488 = t27162*t26878; + t26279 = t27163*t27488; + t27371 = t27164*t27641; + t27846 = t26279+t27161*t27371; + t27845 = t26719+t27067*t27407; + t27465 = t27162*t27014; + t27373 = y*t27465; + t25954 = z*t27373; + t27374 = t27141*t27671; + t27844 = t25954+t27162*t27374; + t27590 = t27038*t27162; + t26065 = t27590*t27683; + t26953 = RATIONAL(-35.0,96.0); + t27397 = t26953*t27671; + t27843 = t27162*t27397+t26065; + t26868 = t27160*t27164; + t27360 = y*t26868; + t27613 = t27141*x; + t27842 = y*t27613+x*t27360; + t26906 = RATIONAL(35.0,216.0); + t26224 = t26906*t27508; + t27127 = RATIONAL(-5.0,6.0); + t27568 = t27127*t27161; + t27327 = y*t27568; + t27841 = t26224+t27164*t27327; + t27614 = RATIONAL(-1.0,48.0)*y; + t27369 = t27161*t27614; + t26962 = RATIONAL(7.0,432.0); + t27413 = t27162*t26962; + t26293 = t27163*t27413; + t27840 = t27164*t27369+t26293; + t27839 = t27128*t27408+t26021; + t26803 = t27128*t27508; + t27838 = t26803+RATIONAL(49.0,12.0)*t27407; + t27057 = RATIONAL(28.0,9.0); + t27837 = t27158*t27164+t27057*t27441; + t26675 = t27162*t27440; + t27836 = t27088*t27621+y*t26675; + t26993 = RATIONAL(-25.0,72.0); + t27835 = t26993*t27441+t26014; + t25775 = t27163*t27324; + t27834 = t25775+t26881*t27408; + t27089 = RATIONAL(5.0,27.0); + t27642 = x*t27089; + t27833 = t27005*t27441+t27164*t27642; + t26524 = t27000*t27441; + t27832 = t25890+t26524; + t26937 = RATIONAL(-14.0,27.0); + t27468 = t27162*t26937; + t26415 = t27163*t27468; + t27831 = t26415+t27057*t27407; + t26400 = RATIONAL(98.0,27.0)*t27508; + t27830 = t26400+RATIONAL(-70.0,3.0)*t27407; + t26984 = RATIONAL(-35.0,48.0); + t27829 = t26428+t26984*t27407; + t26990 = RATIONAL(7.0,108.0); + t27563 = t26990*t27164; + t27828 = x*t27563+t26990*t27441; + t26825 = t27124*t27508; + t27827 = t27011*t27407+t26825; + t27026 = RATIONAL(7.0,48.0); + t27377 = t27026*t27671; + t26904 = RATIONAL(-35.0,288.0); + t26281 = t26904*t27508; + t27826 = t26281+t27161*t27377; + t27006 = RATIONAL(1.0,288.0); + t27647 = y*t27006; + t27603 = x*t27647; + t25799 = t27163*t27603; + t26334 = t27163*t27427; + t27825 = t25799+y*t26334; + t26939 = RATIONAL(35.0,48.0); + t27824 = t26939*t27407+t26281; + t27404 = t27164*t27614; + t27383 = t26964*t27621; + t25835 = z*t27383; + t27823 = t25835+t27162*t27404; + t27350 = t26951*t27619; + t27581 = t27033*t27163; + t27822 = t27163*t27350+y*t27581; + t27505 = t26973*t27161; + t26357 = t27164*t27505; + t26532 = t26968*t27508; + t27821 = y*t26357+t26532; + t27460 = t27033*t27162; + t27820 = y*t27460+t27162*t27341; + t27437 = t27161*t27124; + t26792 = t27163*t27437; + t27819 = y*t26792+t26105; + t27087 = RATIONAL(5.0,72.0); + t27453 = t27164*t27087; + t26568 = t27161*t27453; + t27818 = y*t26568+t26704; + t27362 = t27141*t27619; + t26917 = RATIONAL(49.0,216.0); + t27446 = t26917*t27162; + t26254 = t27163*t27446; + t27817 = t26254+t27164*t27362; + t26496 = RATIONAL(70.0,27.0)*t27508; + t27816 = RATIONAL(-28.0,3.0)*t27407+t26496; + t26833 = t27160*t27508; + t27815 = RATIONAL(-245.0,24.0)*t27407+t26833; + t27069 = RATIONAL(-28.0,9.0); + t27536 = t27163*t27069; + t26044 = t27536*t27682; + t27814 = t26044+y*t26781; + t26952 = RATIONAL(49.0,24.0); + t26882 = RATIONAL(-343.0,72.0); + t27813 = t26882*t27409+t26952*t27621; + t25979 = t27164*t27373; + t26971 = RATIONAL(5.0,108.0); + t27448 = t26971*t27161; + t27812 = t27163*t27448+t25979; + t27811 = t26934*t27407+t26825; + t25801 = t27010*t27387; + t26986 = RATIONAL(5.0,288.0); + t27430 = t26986*t27164; + t27810 = t27161*t27430+t25801; + t26859 = t27052*t27164; + t27159 = RATIONAL(2.0,9.0); + t27667 = t27159*x; + t26169 = t27667*t27683; + t27809 = t26859*t27682+t26169; + t27045 = RATIONAL(32.0,3.0); + t26963 = RATIONAL(-224.0,9.0); + t27808 = t27045*t27621+t26963*t27409; + t27325 = y*t27510; + t27807 = t27164*t27325+t26749; + t26371 = t26926*t27441; + t25809 = z*t27356; + t27806 = y*t26371+t25809; + t27593 = t27090*t27162; + t26061 = t27593*t27683; + t26430 = t26930*t27441; + t27805 = t26061+y*t26430; + t27321 = t26970*t27619; + t25871 = t27163*t27321; + t27804 = t25871+t26935*t27441; + t27522 = t27132*t27163; + t27803 = t27040*t27408+y*t27522; + t26613 = t27163*t27436; + t27802 = t27163*t27632+y*t26613; + t27065 = RATIONAL(49.0,9.0); + t27146 = RATIONAL(-7.0,3.0); + t27672 = y*t27146; + t27801 = t27065*t27611+x*t27672; + t26386 = RATIONAL(-98.0,27.0)*t27508; + t27800 = RATIONAL(28.0,3.0)*t27407+t26386; + t27055 = RATIONAL(10.0,9.0); + t27533 = t27055*t27161; + t27367 = y*t27533; + t27799 = t26415+t27164*t27367; + t27001 = RATIONAL(-35.0,36.0); + t27652 = x*t27067; + t26726 = t27164*t27652; + t27798 = t26726+t27001*t27441; + t27378 = t26953*t27619; + t26892 = RATIONAL(35.0,288.0); + t27419 = t27162*t26892; + t26266 = t27163*t27419; + t27797 = t27164*t27378+t26266; + t27796 = t26739+t27161*t27347; + t27111 = RATIONAL(98.0,9.0); + t27118 = RATIONAL(-14.0,3.0); + t27795 = t27118*t27621+t27111*t27409; + t26111 = t27161*t27395; + t27096 = RATIONAL(1.0,27.0); + t27420 = t27163*t27096; + t26681 = t27162*t27420; + t27794 = t26111+t26681; + t27793 = t27128*t27612+z*t27641; + t27792 = RATIONAL(245.0,24.0)*t27407+t26532; + t27139 = RATIONAL(2.0,3.0); + t27486 = t27139*t27163; + t27791 = t27056*t27408+y*t27486; + t27353 = t27028*t27671; + t27385 = t26879*t27669; + t25765 = x*t27385; + t27790 = t25765+x*t27353; + t27514 = t26957*t27161; + t27789 = t27163*t27514+t27164*t27383; + t27556 = t26931*t27161; + t27358 = t27164*t27637; + t25822 = t27162*t27358; + t27788 = t25822+t27163*t27556; + t27024 = RATIONAL(-1.0,36.0); + t25936 = t27024*t27610; + t27787 = t27163*t27359+t25936; + t26350 = t27161*t27445; + t25887 = y*t26350; + t27082 = RATIONAL(1.0,72.0); + t27500 = t27164*t27082; + t27786 = t25887+x*t27500+t27082*t27441; + t27680 = x*t27164; + t26383 = t27000*t27680; + t27394 = t27026*t27619; + t25929 = t27163*t27394; + t27785 = t26371+t26383+t25929; + t27684 = x*z; + t27784 = RATIONAL(-40.0,27.0)*t27684+RATIONAL(-50.0,3.0)*t27407+t26496; + t27120 = RATIONAL(-5.0,27.0); + t27639 = x*t27120; + t26758 = z*t27639; + t27047 = RATIONAL(20.0,3.0); + t27351 = t27047*t27619; + t27783 = t27164*t27351+t26758+t26514; + t27044 = RATIONAL(70.0,9.0); + t26574 = t27044*t27574; + t26024 = y*t26574; + t27097 = RATIONAL(25.0,9.0); + t27080 = RATIONAL(-50.0,9.0); + t27782 = t27080*t27441+t26024+t27097*t27680; + t25930 = t27038*t27681; + t27491 = t27162*t27156; + t26805 = t27163*t27491; + t27781 = t27001*t27407+t26805+t26646+t25930; + t27030 = RATIONAL(-20.0,9.0); + t27655 = x*t27114; + t26650 = z*t27655; + t27780 = t26387+t26650+t27030*t27407; + t26965 = RATIONAL(-1.0,432.0); + t27492 = t26965*t27164; + t27540 = t27163*t27000; + t26301 = t27161*t27540; + t27779 = t26965*t27441+y*t26301+x*t27492; + t26891 = RATIONAL(-245.0,96.0); + t27778 = z*t27566+t26891*t27409+t26939*t27574; + t27143 = RATIONAL(-4.0,9.0); + t27625 = z*t27143; + t26829 = x*t27625; + t26194 = y*t26829; + t27462 = t26194+z*t27642; + t27777 = RATIONAL(5.0,1.0)*t27407+RATIONAL(-245.0,216.0)*t27508+t27462; + t26315 = t27002*t27441; + t25804 = y*t26315; + t27776 = t25804+t26999*t27931; + t26512 = t27163*t27482; + t25791 = y*t26512; + t27126 = RATIONAL(5.0,9.0); + t27661 = t27116*x; + t27775 = t27164*t27661+t27126*t27441+t25791; + t27676 = t27073*z; + t27602 = y*t27676; + t25955 = x*t27602; + t27624 = x*t27036; + t27477 = t25955+z*t27624; + t27774 = t27477+RATIONAL(-5.0,16.0)*t27407+RATIONAL(49.0,432.0)*t27508; + t27617 = z*t27000; + t27329 = t27033*t27619; + t27773 = t27164*t27329+x*t27617+t26353; + t25927 = t27023*t27408; + t26954 = RATIONAL(20.0,27.0); + t27772 = t25927+t27005*t27680+t26954*t27441; + t26980 = RATIONAL(49.0,48.0); + t27421 = t27016*t27164; + t27771 = t26980*t27408+x*t27421+t26984*t27441; + t26903 = RATIONAL(49.0,144.0); + t27031 = RATIONAL(-5.0,48.0); + t27515 = t27164*t27031; + t27770 = t26903*t27408+x*t27515+t27031*t27441; + t27066 = RATIONAL(35.0,6.0); + t27401 = t27066*t27671; + t25918 = t27162*t27401; + t26665 = t27056*t27645; + t27769 = t25918+t26948*t27574+t26665; + t26894 = RATIONAL(-245.0,72.0); + t26211 = t26894*t27574; + t26300 = t27011*t27645; + t26120 = t27158*t27409; + t27768 = t26211+t26300+t26120; + t26945 = RATIONAL(7.0,864.0); + t27443 = t26945*t27162; + t26472 = t27163*t27443; + t26981 = RATIONAL(-1.0,864.0); + t27623 = t26981*x; + t27767 = t26472+z*t27623+t27107*t27407; + t27766 = RATIONAL(-35.0,16.0)*t27407+t26903*t27508+t26646; + t27567 = t27161*t27038; + t26661 = z*t27567; + t26114 = t27162*t27403; + t27765 = t26661+t27163*t27567+t26114; + t27100 = RATIONAL(-5.0,36.0); + t27470 = t27100*t27164; + t26617 = t27161*t27470; + t27764 = y*t26617+t27477+t26681; + t27119 = RATIONAL(4.0,27.0); + t27763 = t27119*t27684+RATIONAL(25.0,24.0)*t27407+t26628; + t27762 = t25927+t26978*t27441+t27164*t27655; + t27336 = y*t27566; + t26198 = t27163*t27336; + t27761 = t26878*t27441+t26198+t27164*t27639; + t27411 = t27162*t27069; + t26649 = x*t27550; + t27760 = t26024+t27164*t27411+t26649; + t25864 = t27163*t27322; + t26780 = x*t27470; + t27759 = t26904*t27441+t25864+t26780; + t27571 = t27164*t27157; + t26827 = x*t27571; + t27758 = t26827+t26891*t27408+t26939*t27441; + t26877 = RATIONAL(-245.0,54.0); + t27450 = t26929*t27161; + t27757 = t27110*t27409+t26877*t27574+z*t27450; + t26884 = RATIONAL(-140.0,27.0); + t26988 = RATIONAL(-160.0,9.0); + t26888 = RATIONAL(280.0,27.0); + t27756 = t26884*t27645+t26988*t27409+t26888*t27574; + t27125 = RATIONAL(4.0,9.0); + t26806 = t27125*t27684; + t26188 = y*t26806; + t27755 = RATIONAL(343.0,216.0)*t27508+RATIONAL(-5.0,1.0)*t27407+t26188+ +t26650; + t26856 = t27041*t27164; + t27400 = y*t26856; + t26076 = t27162*t27400; + t26907 = RATIONAL(245.0,72.0); + t26270 = t26907*t27574; + t27754 = t26076+t26270+t26757; + t27332 = t27099*t27619; + t27678 = x*t26935; + t27753 = z*t27678+t27164*t27332+t26266; + t26921 = RATIONAL(-35.0,144.0); + t27752 = t26931*t27680+t25929+t26921*t27441; + t26989 = RATIONAL(-7.0,216.0); + t27751 = t26989*t27680+t27913; + t27668 = t27124*x; + t26828 = t27164*t27668; + t27750 = t26675+t25864+t26828; + t27154 = RATIONAL(5.0,3.0); + t27535 = t27127*t27164; + t26796 = x*t27535; + t27749 = y*t26211+t26796+t27154*t27441; + t26944 = RATIONAL(-35.0,54.0); + t27748 = t27075*t27409+t27929*t26944; + t26126 = t27162*t27371; + t26876 = RATIONAL(-35.0,108.0); + t27747 = z*t27448+t26876*t27574+t26126; + t27335 = y*t26855; + t26051 = t27163*t27335; + t27653 = x*t27055; + t26712 = t27164*t27653; + t27746 = t26051+t26940*t27441+t26712; + t26789 = t27124*t27441; + t26123 = y*t26789; + t26946 = RATIONAL(5.0,216.0); + t27526 = t26946*t27161; + t27745 = t26123+t27654*t27526; + t26982 = RATIONAL(-1.0,108.0); + t27657 = t26982*x; + t27478 = t25955+z*t27657; + t27109 = RATIONAL(5.0,12.0); + t27382 = t27109*t27619; + t27744 = t27478+t27164*t27382+t26774; + t27743 = t25887+t27679*t27430; + t26119 = t27146*t27409; + t27412 = t27163*t26934; + t27742 = t27161*t27412+t26119+z*t27510; + t27741 = t26279+t27154*t27407+t26188+t26758; + t27511 = t27163*t26892; + t25960 = t27162*t27353; + t27740 = t27161*t27511+t25960+z*t27439; + t27558 = t26944*t27164; + t27739 = t26944*t27441+x*t27558+t27075*t27408; + t26905 = RATIONAL(245.0,54.0); + t26908 = RATIONAL(140.0,27.0); + t27060 = RATIONAL(-40.0,3.0); + t27738 = t26905*t27574+t26908*t27645+t27060*t27409; + t26182 = t27163*t27327; + t26890 = RATIONAL(35.0,108.0); + t27630 = x*t27009; + t27737 = t26890*t27441+t26182+t27164*t27630; + t26273 = RATIONAL(-175.0,24.0)*t27591; + t27736 = t26494+t27023*t27684+y*t26273; + t26639 = t27044*t27441; + t25946 = y*t26639; + t26634 = t27040*t27645; + t27735 = t25946+t26634+t27161*t27536; + t27068 = RATIONAL(-5.0,96.0); + t27357 = t27068*t27619; + t27673 = x*t27070; + t27734 = t27163*t27357+(t27673+t27413)*t27164; + t27677 = x*t26994; + t27616 = y*t27139; + t27334 = t27161*t27616; + t27733 = z*t27677+t26237+t27164*t27334; + t26938 = RATIONAL(1.0,108.0); + t27636 = t26938*z; + t26446 = x*t27636; + t27601 = t27024*t27683; + t26074 = x*t27601; + t27560 = t26446+t26074; + t27732 = t27560+RATIONAL(5.0,16.0)*t27407+RATIONAL(-49.0,864.0)*t27508; + t27032 = RATIONAL(20.0,9.0); + t27731 = t26432+t27032*t27407+t27462; + t26941 = RATIONAL(-7.0,432.0); + t27570 = t27163*t26941; + t27098 = RATIONAL(1.0,48.0); + t27376 = t27098*t27671; + t27730 = z*t27514+t27161*t27570+t27162*t27376; + t27466 = t27001*t27163; + t26741 = t27067*t27645; + t27729 = t26120+t27161*t27466+t26741; + t26645 = t27019*t27441; + t25952 = y*t26645; + t27034 = RATIONAL(-35.0,9.0); + t26577 = t27034*t27645; + t27728 = t25952+t26574+t26577; + t26510 = z*t27482; + t26146 = t27162*t27360; + t27727 = t26510+t26146+t26512; + t27726 = t26877*t27441+t27110*t27408+t26929*t27680; + t27633 = z*t27025; + t27572 = x*t27633+t26194; + t27150 = RATIONAL(-5.0,3.0); + t27725 = t27150*t27407+t26254+t27572; + t26344 = z*t27427; + t27724 = t26344+t26334+t25804; + t27049 = RATIONAL(-2.0,27.0); + t27723 = t27049*t27684+RATIONAL(-25.0,24.0)*t27407+t26737; + t26644 = t27163*t27481; + t27722 = t27101*t27645+t25960+t26644; + t27721 = t27161*t27420+t27162*t27338+t27036*t27645; + t26902 = RATIONAL(35.0,144.0); + t26860 = t27094*t27161; + t27720 = t26902*t27574+z*t26860+t27843; + t26898 = RATIONAL(49.0,108.0); + t27458 = t26995*t27161; + t27719 = z*t27458+t26898*t27574+t27844; + t27565 = t26937*t27161; + t27718 = t26854+t27163*t27565+t27865; + t27042 = RATIONAL(-1.0,12.0); + t26857 = t27042*t27161; + t27717 = t26857+t26792+t27849; + t27716 = t27032*t27441+t26679+t27814; + t27134 = RATIONAL(-5.0,9.0); + t26869 = t27134*t27161; + t27715 = t27163*t26869+t26861+t27849; + t27714 = t27806+t27082*t27931; + t27713 = t26859+t27134*t27441+t27869; + t27529 = t27161*t26975; + t27712 = t26906*t27574+z*t27529+t27844; + t27457 = t27014*t27161; + t26615 = z*t27457; + t27711 = t26615+t26799+t27805; + t26862 = t27024*t27164; + t27551 = t27163*t27107; + t27710 = t27072*t27441+t26862+(t26644+t27551)*y; + t27083 = RATIONAL(5.0,24.0); + t26845 = t27083*t27164; + t27709 = t26845+t27094*t27441+t27822; + t26950 = RATIONAL(-20.0,27.0); + t26864 = t27134*t27164; + t27708 = t26950*t27441+t26864+t27803; + t26715 = z*t27533; + t25914 = t27057*t27608; + t27493 = t26940*t27163; + t27707 = t26715+t25914+t26076+t27161*t27493; + t25917 = t27411*t27683; + t26899 = RATIONAL(-175.0,72.0); + t27706 = t25917+t26899*t27574+t25918+t27043*t27645; + t27705 = t26726+t27116*t27441+t27890; + t27543 = t27163*t26986; + t27704 = t26986*t27645+t27161*t27543+t27806; + t27588 = t27125*t27163; + t26189 = t27588*t27682; + t27656 = x*t27025; + t27703 = t26189+t26917*t27441+t26182+t27164*t27656; + t26912 = RATIONAL(-280.0,27.0); + t27020 = RATIONAL(-32.0,3.0); + t26927 = RATIONAL(224.0,9.0); + t27702 = t27020*t27621+t26927*t27409+t26912*t27574+t26858; + t26450 = t26930*t27680; + t27701 = t26430+t26450+t27873; + t27598 = t27073*t27162; + t26057 = t27598*t27683; + t27392 = t27068*t27671; + t27700 = t27070*t27645+t26962*t27574+t26057+t27162*t27392; + t26853 = t27094*t27164; + t27699 = t27009*t27441+t26853+t27791; + t26949 = RATIONAL(28.0,27.0); + t27698 = t26949*t27441+t26868+t27791; + t27697 = t26950*t27574+t26869+t27865; + t26977 = RATIONAL(-5.0,108.0); + t27696 = t27913+(t27680+t27441)*t26977; + t27695 = z*t27459+t26326+t27843; + t27414 = t27162*t27100; + t27694 = t27164*t27414+t26780+t27873; + t27693 = t26876*t27441+t26971*t27680+t27864; + t25999 = t27074*t27610; + t27692 = t25999+t26908*t27680+t26905*t27441+t27060*t27408; + t27142 = RATIONAL(1.0,6.0); + t26866 = t27142*t27161; + t27691 = t26866+t27159*t27574+t27820; + t27003 = RATIONAL(25.0,72.0); + t27447 = t27164*t27003; + t27690 = x*t27447+t27003*t27441+t27839; + t27148 = RATIONAL(-5.0,4.0); + t26880 = RATIONAL(343.0,72.0); + t26874 = t27150*t27161; + t26976 = RATIONAL(-49.0,24.0); + t27689 = t27163*t26874+t26976*t27621+t27148*t27161+t26880*t27409; + t27688 = t26789+t27042*t27164+t27869; + t26223 = t26894*t27441; + t25884 = t26948*t27608; + t27687 = z*t27568+t27154*t27574+t25884+y*t26223; + t27521 = t27100*t27161; + t25912 = z*t27340; + t26716 = z*t27521; + t27686 = t27163*t27521+t25912+t26146+t26716; + t26627 = t27034*t27680; + t27685 = t26639+t26627+t27814; + t27675 = x*t27027; + t27674 = x*t27090; + t27670 = x*t26957; + t27665 = y*t27132; + t27662 = t26938*x; + t27660 = x*t27100; + t27102 = RATIONAL(-4.0,27.0); + t27659 = x*t27102; + t27651 = x*t26946; + t27650 = x*t27004; + t27648 = t27101*x; + t27646 = z*t27162; + t26959 = RATIONAL(1.0,864.0); + t27640 = x*t26959; + t27638 = t27156*x; + t27635 = t27032*z; + t27631 = t26964*y; + t27133 = RATIONAL(-2.0,9.0); + t27628 = t27133*x; + t27627 = z*t26989; + t27626 = t27030*x; + t27620 = z*t26946; + t27618 = x*t27072; + t27615 = x*t26937; + t27609 = t26970*t27682; + t27607 = y*t27625; + t27606 = t27143*t27682; + t26684 = z*t27675; + t27604 = x*t27631; + t25774 = t27163*t27346; + t27600 = t27164*t27324+t25774; + t25839 = t27163*t27383; + t27355 = t27164*t27647; + t27599 = t27162*t27355+t25839; + t27475 = t27162*t27027; + t27366 = y*t27475; + t25953 = z*t27366; + t27597 = z*t27473+t25953; + t26936 = RATIONAL(-49.0,27.0); + t27595 = t26936*t27646+t25914; + t27592 = t27125*t27162; + t25913 = t27163*t27340; + t26714 = t27164*t26860; + t27589 = t25913+t26714; + t27587 = t27116*t27163; + t25848 = z*t27604; + t27586 = t25848+z*t27640; + t27584 = t27116*t27162; + t26966 = RATIONAL(-7.0,864.0); + t27583 = t26966*t27163; + t27580 = t27163+t27162; + t26759 = z*t27429; + t26079 = t27162*t27601; + t27579 = t26759+t26079; + t25846 = t27163*t27356; + t27578 = t26941*t27508+t25846; + t26710 = z*t27673; + t27577 = t26710+t26074; + t25919 = t27046*t27387; + t27576 = t25919+t26617; + t27575 = t25913+t26521; + t26933 = RATIONAL(-35.0,27.0); + t26050 = t27057*t27610; + t27573 = t26933*t27664+t26050; + t26851 = t27024*t27161; + t25798 = t27006*t27608; + t27569 = z*t27363+t25798; + t27564 = t26981*t27163; + t27562 = t26320+t25919; + t27561 = t27070*t27163; + t25807 = t27163*t27604; + t27559 = t25807+t27163*t27640; + t27557 = t27163*t26965; + t27555 = t27139*t27162; + t26106 = y*t26684; + t27554 = x*t27627+t26106; + t25781 = t27412*t27682; + t27549 = t25781+x*t27466; + t26808 = x*t27501; + t27548 = t26808+t26050; + t27547 = t27036*t27162; + t26773 = z*t27660; + t27546 = t25930+t26773; + t25897 = t27163*t27609; + t27545 = x*t27358+t25897; + t27544 = t26945*t27163; + t26942 = RATIONAL(49.0,27.0); + t27542 = t25917+t26942*t27646; + t27541 = x*t27570+t25897; + t27539 = t26966*t27162; + t27538 = t27126*t27161; + t27537 = t26993*t27161; + t27153 = RATIONAL(5.0,8.0); + t27534 = t27153*t27161; + t26402 = RATIONAL(-25.0,36.0)*t27591; + t27532 = t25919+t26402; + t27531 = t27090*t27163; + t26987 = RATIONAL(-1.0,216.0); + t27530 = t26987*t27161; + t26515 = t26966*t27508; + t27528 = t26515+t25846; + t26850 = t27086*t27164; + t27390 = y*t27457; + t26085 = t27163*t27390; + t25951 = t27163*t27366; + t27527 = t26085+t25951; + t27525 = t26978*t27161; + t26616 = t27161*t27500; + t27524 = t25801+t26616; + t27523 = t25897+x*t27583; + t26637 = t27161*t26850; + t27520 = t25919+t26637; + t27519 = t25781+t26682; + t26463 = t26989*t27441; + t26583 = t27164*t27675; + t25935 = y*t26583; + t27516 = t26463+t25935; + t25743 = RATIONAL(343.0,288.0)*t27387; + t27513 = t26881*t27508+t25743; + t27512 = t27072*t27161; + t27507 = t27116*t27161; + t27506 = t27161*t27005; + t27503 = t27162*t26965; + t25928 = t27674*t27683; + t26721 = z*t27652; + t27502 = t25928+t26721; + t27499 = t25913+t26596; + t26084 = t27056*t27681; + t27498 = z*t27653+t26084; + t27497 = t27163*t26878; + t27495 = t25807+t26957*t27664; + t27494 = t27163*t27032; + t27490 = z*t27321+t25778; + t27487 = t27163*t27004; + t27485 = t27088*t27164; + t27484 = t27161*t26989; + t26019 = t27163*t27373; + t26361 = t27161*t27563; + t27483 = t26019+t26361; + t26870 = t27142*t27164; + t27479 = t26035+t26862*t27682; + t27131 = RATIONAL(7.0,6.0); + t27472 = t27131*t27164; + t26956 = RATIONAL(-25.0,12.0); + t26398 = t26956*t27591; + t26958 = RATIONAL(49.0,18.0); + t25780 = t26958*t27387; + t27463 = t26398+t25780; + t26029 = RATIONAL(-32.0,9.0)*t27681; + t27461 = t26029+RATIONAL(40.0,27.0)*t27684; + t27454 = z*t27446+t25912; + t27444 = t27151*t27164; + t27442 = t27162*t26981; + t27434 = t27161*t26977; + t27433 = t25928+t26684; + t27432 = t27009*t27161; + t26199 = t27163*t27606; + t27431 = t26199+t27125*t27611; + t27424 = t27161+t27164; + t27422 = t26079+t27162*t27636; + t27418 = t27162*t27107; + t27417 = t27163*t26989; + t25792 = t27006*t27387; + t27416 = t27163*t27503+t25792; + t26801 = t27129*t27646; + t27406 = t27098*t27619; + t26666 = t27046*t27646; + t27402 = y*t27453; + t27396 = t27048*t27671; + t27391 = y*t27535; + t27389 = t27115*t27671; + t27388 = y*t27571; + t27381 = t27137*t27619; + t27375 = t27059*t27619; + t27007 = RATIONAL(-35.0,12.0); + t27370 = t27007*t27671; + t27364 = t27105*t27671; + t27354 = t27002*t27619; + t27352 = t27006*t27619; + t26795 = z*t27437; + t26654 = x*t27452; + t27343 = t27087*t27619; + t26366 = t27161*t27617; + t26624 = x*t27425; + t26612 = t27164*t27674; + t27331 = t27132*t27619; + t27328 = t27066*t27619; + t27326 = t27129*t27671; + t26337 = t27164*t27650; + t26336 = t27011*t27680; + t26811 = t27164*t27638; + t26680 = t27050*t27680; + t27320 = RATIONAL(-35.0,8.0)*y+RATIONAL(25.0,8.0); + t27319 = t27027+t27042*y; + t27130 = RATIONAL(1.0,2.0); + t27318 = t27130+RATIONAL(-7.0,4.0)*y; + t27317 = t27679*t27164; + t27316 = t27666+t27082; + t27104 = RATIONAL(50.0,9.0); + t27315 = t27104+t27060*y; + t26168 = t27592*t27683; + t27313 = t26168+t26190+t27055*t27409; + t27312 = t26199+t26169+t27126*t27611; + t26039 = t27093*t27608; + t27013 = RATIONAL(80.0,9.0); + t27311 = t26039+t27013*t27612+t26048; + t27310 = z*t27375+t25953+t26074; + t27309 = t27472*t27682+t25930+t25888; + t26108 = y*t26666; + t27308 = t26108+(t27350+t27658)*z; + t26136 = y*t26808; + t27307 = t26136+y*t26649+x*t27665; + t27306 = y*t26712+t26188+t26136; + t27305 = t25913+y*t26329+t26065; + t27304 = t26019+t26057+t27162*t27402; + t27303 = t26043+t27118*t27669+t27111*t27408; + t27302 = t25801+t27861; + t26167 = t27628*t27683; + t25924 = t27531*t27682; + t27301 = t26167+t25924+t27109*t27611; + t27300 = t25924+t25928+x*t27372; + t27299 = t26099+t26108+z*t27362; + t27298 = z*t27643+t26031+t27008*t27612; + t27297 = t26033+t27856; + t26187 = y*t26801; + t27296 = t26187+y*t26634+z*t27665; + t27295 = y*t27555+t26200+t27162*t27345; + t27294 = t26185+y*t26665+z*t27616; + t26174 = t27162*t27607; + t27293 = t25913+t27162*t27388+t26174; + t27292 = t26141+y*t26624+x*t27616; + t25796 = z*t27603; + t27291 = t25796+t25778+z*t27406; + t25831 = RATIONAL(-128.0,9.0)*t27387; + t26998 = RATIONAL(160.0,9.0); + t27290 = t25999+t25831+t26998*t27408; + t27289 = t27053*t27621+t26033+t27071*t27409; + t26913 = RATIONAL(245.0,96.0); + t25744 = RATIONAL(-343.0,288.0)*t27387; + t27288 = t26913*t27409+t25884+t25744; + t26095 = t27163*t27367; + t27287 = t26095+t26189+t26190; + t27286 = t25778+z*t27354+t25900; + t27285 = t25765+x*t27397+t25930; + t27284 = t25796+y*t26344+t25798; + t27283 = t26080+t25881+t27007*t27612; + t27282 = t26864*t27682+t26167+t26189; + t27281 = t26043+t27795; + t25889 = z*t27609; + t27280 = x*t27342+t25889+t25897; + t27279 = t27163*t27362+t25919+t26086; + t27278 = x*t27377+t25889+t25766; + t26947 = RATIONAL(-49.0,18.0); + t25788 = t26947*t27387; + t27277 = t25788+t27853; + t27276 = t27162*t27377+t25809+t25774; + t27275 = t26187+t26188+y*t26715; + t27274 = t25901+t25775+t27163*t27339; + t27273 = t25951+t27819; + t27272 = t27162*t27398+t26200+t26174; + t25845 = RATIONAL(128.0,9.0)*t27387; + t27271 = t25845+t26963*t27408+t27045*t27669; + t27270 = t27163*t27378+t25775+t25911; + t27269 = z*t27649+t26039+t26991*t27612; + t27268 = t26882*t27408+t25780+t26952*t27669; + t27267 = t27146*t27408+t25780+t26058; + t27266 = t26168+t25919+t27162*t27391; + t27265 = t25912+(t27380+t27663)*z; + t27264 = t26061+t27162*t27379+t25774; + t26788 = t27156*t27441; + t27263 = t26019+y*t26788+t25954; + t27262 = t25914+z*t27644+t27108*t27612; + t26656 = t27161*t27515; + t27261 = t27163*t27328+t26044+t25788; + t26621 = t27161*t27485; + t26620 = t27103*t27441; + t26321 = t27004*t27441; + t26251 = t26907*t27441; + t26231 = RATIONAL(-175.0,18.0)*t27591; + t27260 = t25917+t27065*t27612+z*t27672; + t26972 = RATIONAL(-49.0,54.0); + t27259 = t27046+t26972*t27164; + t27258 = t26972*t27161+t27046; + t26476 = t27161*t27455; + t27256 = t26476+t27164*t27354+t26935*t27508+t25846; + t26479 = t27164*t27434; + t27255 = t26971*t27441+t26479+t27527; + t25908 = t27164*t27366; + t27254 = t25908+t27163*t27458+t27483; + t27253 = t26472+t27164*t27357+t27810; + t26449 = t27161*t27492; + t27252 = t27000*t27407+t25792+t26449+t27163*t27442; + t27251 = t25775+t27161*t27399+t27162*t27421+t26656; + t26324 = t27161*t27447; + t27250 = t25913+t25938+t26324+t27163*t27537; + t27249 = t26023+t27067*t27441+t27576; + t27248 = t26948*t27407+t26744+t27575; + t27247 = t27161*t27341+t26805+t27499; + t26485 = t26994*t27574; + t26508 = t27164*t27484; + t27246 = t25979+t25951+t26485+t26508; + t26943 = RATIONAL(35.0,27.0); + t26405 = t26943*t27591; + t27245 = t27069*t27407+t26190+t26405+t26500; + t27244 = t25871+t27101*t27441+t27524; + t27243 = t26363+t25942+t27562; + t27242 = t26476+t27164*t27359+t27578; + t26519 = t27164*t27526; + t27241 = t26519+t26019+t25908+t27163*t27529; + t26499 = t27161*t27558; + t27240 = t26499+t27162*t27326+t26200+t27163*t27450; + t27239 = t25822+t25846+t26553+t26301; + t27062 = RATIONAL(25.0,6.0); + t27238 = t27062*t27164+t26231+t27104*t27441+t27297; + t27237 = t26324+t27163*t27507+t26741+t27305; + t27236 = t26975*t27684+t27164*t27331+t26224+t26106+t27589; + t26766 = t27164*t27469; + t27235 = t26874+t27030*t27574+t26766+t27281; + t27234 = t26870+t27159*t27441+t27520+t27822; + t27233 = z*t27507+t27163*t27538+t27532+t27805; + t27232 = t26324+t27161*t27497+t27120*t27645+t27293; + t26352 = t27161*t27417; + t27231 = z*t27484+t26352+t26361+t27263; + t27230 = t26811+t27133*t27441+t27589+t27890; + t26797 = t27161*t27444; + t27229 = t26934*t27441+t26797+t26612+t27267; + t26896 = RATIONAL(175.0,72.0); + t27228 = t26119+t26896*t27574+t25912+z*t27537+t27463; + t27227 = t26948*t27441+t26357+t26624+t27261; + t27226 = t26479+t27164*t27651+t26946*t27441+t27273; + t26920 = RATIONAL(-49.0,108.0); + t27225 = t26920*t27574+t26521+z*t27565+t27293; + t27224 = t26350+t26366+t26621+t27276; + t26605 = t27161*t26845; + t27223 = t26921*t27574+t26605+z*t27556+t27276; + t26239 = RATIONAL(490.0,27.0)*t27591; + t27222 = t26239+t26912*t27441+t25831+t26927*t27408+t27019*t27164+t27020* +t27669; + t27221 = t26479+t27164*t27624+t25936+t25951+t27163*t27375+t27096*t27441; + t27220 = t26337+t26321+t26616+t27302; + t27219 = x*t27428+t26906*t27441+t26617+t27279; + t26974 = RATIONAL(25.0,96.0); + t26457 = t26974*t27591; + t27218 = t26904*t27574+t26457+t26716+t27264; + t27217 = t26654+t27038*t27441+t27520+t27839; + t27216 = t26783+t25952+t25917+t27161*t27494+t27902; + t26702 = t27084*t27591; + t27215 = t26123+t25953+t26702+t25951+t27929*t26990; + t27214 = t26656+t27274+(t27419+t27678)*t27164; + t27213 = t26916*t27574+t25953+t26994*t27645+t26126+t27499; + t27212 = t26850+t26937*t27441+t27803+t27925; + t26503 = RATIONAL(-25.0,27.0)*t27591; + t27211 = t26503+t26954*t27574+z*t27506+t27272; + t26791 = t27164*t27534; + t27210 = t26791+t26980*t27409+t25746+t25744+t26984*t27574+z*t27496; + t27209 = t27161*t27370+t25788+t26814+t26833+t27433; + t26669 = RATIONAL(5.0,54.0)*t27591; + t27208 = t26669+t27263+t27654*t27434; + t27207 = t25801+y*t26656+t26293+t26568+t27577; + t27206 = t26251+t26051+t25780+t26680+t26273+t26050; + t27205 = t25924+t25791+t26788+t26572+t27576; + t27204 = t26795+t26613+t26605+t27264; + t27203 = t26223+t26336+t26357+t27277; + t26474 = RATIONAL(-25.0,16.0)*t27591; + t27202 = RATIONAL(35.0,16.0)*t27407+RATIONAL(-245.0,288.0)*t27508+t26474+ +t25743+t27502; + t26269 = RATIONAL(125.0,24.0)*t27591; + t27201 = t26899*t27441+x*t27438+t26269+t27261; + t26618 = t27164*t26857; + t27200 = t26618+t27164*t27648+t26620+t27274; + t27199 = t26315+t26583+t26656+t27270; + t27198 = t26995*t27680+t26898*t27441+t26637+t27279; + t27197 = t27080*t27574+t25914+t25946+t27097*t27645+t27886; + t27196 = t26476+t27016*t27407+t27478+t27528; + t27195 = t26199+t27164*t27615+t26920*t27441+t26198+t27575; + t27194 = t26231+RATIONAL(56.0,27.0)*t27684+t26029+t26033+RATIONAL(50.0, +3.0)*t27407+t26386; + t27193 = t26941*t27441+t27164*t27670+t25799+t27163*t27406+t27524; + t27192 = t26851+t27163*t27512+t27483+(t26620+t27418)*y; + t26928 = RATIONAL(-28.0,27.0); + t27191 = z*t27525+t26928*t27574+t26405+t27313; + t26961 = RATIONAL(25.0,54.0); + t26522 = t26961*t27591; + t27190 = t27089*t27645+t27163*t27506+t26522+t27313; + t27189 = z*t27432+t26890*t27574+t26402+t27266; + t26413 = t26936*t27591; + t27188 = t26949*t27574+t26872+t26413+t27295; + t27187 = t26108+t26114+t27532+t27929*t27003; + t27186 = t27163*t26860+t27083*t27161+t27562+t27820; + t26523 = RATIONAL(-25.0,48.0)*t27591; + t27185 = t26523+t26902*t27441+x*t26853+t27270; + t27184 = t26499+t27163*t27525+t27114*t27645+t27272; + t26278 = RATIONAL(-350.0,27.0)*t27591; + t27183 = t26005+t25845+t26988*t27408+t26278+t26884*t27680+t26888*t27441; + t27182 = t27164*t27677+t26916*t27441+t27499+t27864; + t27181 = t26400+t27161*t27364+t26043+t26766+t27572; + t27180 = t26802+t27133*t27574+t26714+t27305; + t26979 = RATIONAL(1.0,216.0); + t26385 = t26979*t27591; + t27179 = t27161*t27557+t25835+y*t26524+t25839+t26385+t26965*t27645; + t27178 = t26903*t27409+t25776+t25774+t26605+t27929*t27031; + t27177 = t26803+t26084+t26806+RATIONAL(175.0,24.0)*t27407+t27463; + t27176 = t26978*t27680+t26928*t27441+t26405+t27287; + t27175 = t26242+t26645+t26856+t27303; + t27174 = t27150*t27441+t27148*t27164+t26976*t27669+t26880*t27408+t25788+ +t26357; + t27173 = t26499+t27163*t27432+t26860+t27295; + t27172 = t27030*t27441+t26766+t27150*t27164+t27303; + t27171 = t26993*t27680+t26896*t27441+t26398+t27267; + t26606 = t27161*t27423; + t27170 = t27158*t27161+t26606+t27057*t27574+t27289; + t26663 = t27161*t26862; + t27169 = t26663+t25848+y*t26621+z*t27670+t27578; + t27168 = t26231+t27062*t27161+t27104*t27574+t27289; + t27167 = t27161*t27633+t26320+t26917*t27574+t27266; + t27155 = RATIONAL(4.0,1.0); + t27152 = RATIONAL(-4.0,1.0); + t27149 = RATIONAL(-1.0,6.0); + t27147 = RATIONAL(4.0,3.0); + t27145 = RATIONAL(7.0,4.0); + t27140 = RATIONAL(-1.0,4.0); + t27138 = RATIONAL(-4.0,3.0); + t27136 = RATIONAL(1.0,4.0); + t27123 = RATIONAL(-8.0,3.0); + t27122 = RATIONAL(8.0,3.0); + t27121 = RATIONAL(-5.0,8.0); + t27106 = RATIONAL(-5.0,24.0); + t27092 = RATIONAL(2.0,27.0); + t27091 = RATIONAL(-56.0,3.0); + t27085 = RATIONAL(10.0,1.0); + t27081 = RATIONAL(-10.0,3.0); + t27078 = RATIONAL(1.0,12.0); + t27077 = RATIONAL(-10.0,1.0); + t27076 = RATIONAL(10.0,3.0); + t27054 = RATIONAL(49.0,6.0); + t27051 = RATIONAL(-25.0,6.0); + t27022 = RATIONAL(35.0,8.0); + t27017 = RATIONAL(56.0,3.0); + t27015 = RATIONAL(8.0,27.0); + t27012 = RATIONAL(40.0,9.0); + t26985 = RATIONAL(-80.0,27.0); + t26983 = RATIONAL(-25.0,54.0); + t26960 = RATIONAL(80.0,27.0); + t26955 = RATIONAL(-25.0,96.0); + t26932 = RATIONAL(25.0,12.0); + t26922 = RATIONAL(-175.0,54.0); + t26919 = RATIONAL(-392.0,27.0); + t26918 = RATIONAL(392.0,27.0); + t26914 = RATIONAL(175.0,54.0); + t26911 = RATIONAL(-343.0,54.0); + t26909 = RATIONAL(343.0,54.0); + t26901 = RATIONAL(196.0,27.0); + t26900 = RATIONAL(100.0,27.0); + t26897 = RATIONAL(-112.0,27.0); + t26895 = RATIONAL(-100.0,27.0); + t26893 = RATIONAL(200.0,27.0); + t26889 = RATIONAL(175.0,96.0); + t26887 = RATIONAL(-175.0,96.0); + t26886 = RATIONAL(-196.0,27.0); + t26885 = RATIONAL(112.0,27.0); + t26875 = RATIONAL(-200.0,27.0); + t26831 = t27124*t27664; + t26817 = t27124*t27646; + t26813 = z*t27491; + t26812 = z*t27464; + t26800 = t27163*t27638; + t26787 = t27119*t27664; + t26782 = t27120*t27646; + t26776 = t27163*t27639; + t26771 = t27163*t27660; + t26770 = t27092*t27684; + t26769 = t27012*t27508; + t26765 = t27030*t27646; + t26761 = z*t27585; + t26754 = x*t27494; + t26748 = t27094*t27646; + t26742 = t27102*t27646; + t26732 = t27119*t27646; + t26729 = t27163*t27642; + t26724 = x*t27410; + t26722 = t27162*t27635; + t26720 = z*t27584; + t26713 = t27089*t27646; + t26709 = t27067*t27646; + t26707 = z*t27456; + t26706 = x*t27561; + t26698 = x*t27587; + t26697 = z*t27489; + t26696 = z*t27475; + t26694 = t27163*t27618; + t26693 = x*t27451; + t26690 = z*t27659; + t26689 = t27084*t27646; + t26685 = t27163*t27656; + t26683 = t27084*t27664; + t26673 = t27015*t27664; + t26672 = t27096*t27646; + t26671 = z*t27547; + t26668 = x*t27471; + t26660 = t27015*t27646; + t26657 = t27058*t27508; + t26642 = t27163*t27655; + t26641 = t27061*t27646; + t26633 = t27112*t27664; + t26610 = t27112*t27646; + t26601 = x*t27420; + t26598 = t27114*t27646; + t26592 = z*t27414; + t26589 = z*t27465; + t26586 = t27094*t27664; + t26579 = t27163*t27626; + t26578 = t27163*t27659; + t26575 = t27015*t27508; + t26561 = t27163*t27651; + t26559 = t26959*t27508; + t26557 = t26986*t27684; + t26554 = t26940*t27646; + t26552 = t27163*t27657; + t26551 = t26960*t27664; + t26549 = t26986*t27508; + t26548 = t26990*t27664; + t26547 = x*t27543; + t26545 = x*t27620; + t26544 = t26990*t27646; + t26543 = t27162*t27620; + t26540 = t26943*t27646; + t26539 = t26986*t27646; + t26538 = t26946*t27508; + t26534 = t26959*t27646; + t26527 = t26943*t27664; + t26526 = x*t27493; + t26525 = z*t27539; + t26520 = z*t27449; + t26517 = t27005*t27664; + t26507 = t26985*t27646; + t26502 = t26995*t27664; + t26498 = t26960*t27646; + t26484 = RATIONAL(-56.0,27.0)*t27684; + t26478 = t26935*t27646; + t26470 = t27001*t27646; + t26469 = x*t27564; + t26468 = z*t27413; + t26467 = z*t27443; + t26466 = t27004*t27646; + t26464 = x*t27487; + t26454 = x*t27544; + t26445 = x*t27417; + t26443 = z*t27650; + t26442 = x*t27435; + t26441 = t27162*t27627; + t26440 = t27162*t27487; + t26439 = t27162*t27417; + t26435 = t27163*t27662; + t26431 = t27002*t27646; + t26426 = t26936*t27664; + t26418 = z*t27468; + t26409 = t26994*t27441; + t26408 = t26941*t27646; + t26404 = t26933*t27646; + t26393 = z*t27426; + t26392 = t26978*t27646; + t26389 = RATIONAL(-16.0,27.0)*t27508; + t26384 = t27005*t27646; + t26381 = t26926*t27646; + t26378 = t26995*t27646; + t26377 = t26994*t27664; + t26376 = t26942*t27664; + t26372 = x*t27540; + t26365 = t27163*t27615; + t26359 = t26978*t27664; + t26349 = z*t27474; + t26346 = t27162*t27617; + t26342 = x*t27445; + t26339 = t26975*t27664; + t26333 = t26935*t27664; + t26319 = t27163*t27630; + t26318 = t26965*t27684; + t26312 = x*t27557; + t26310 = z*t27503; + t26304 = t26985*t27664; + t26303 = z*t27442; + t26302 = t26982*t27646; + t26295 = t26962*t27664; + t26289 = RATIONAL(160.0,27.0)*t27508; + t26285 = RATIONAL(49.0,864.0)*t27508; + t26283 = t26904*t27646; + t26271 = z*t27488; + t26260 = t26917*t27664; + t26255 = t26906*t27664; + t26253 = t26885*t27664; + t26250 = RATIONAL(-49.0,432.0)*t27508; + t26248 = RATIONAL(-224.0,27.0)*t27508; + t26246 = t26885*t27646; + t26236 = t26897*t27646; + t26234 = t26916*t27646; + t26233 = t26906*t27646; + t26230 = t26897*t27664; + t26229 = t26916*t27664; + t26227 = x*t27511; + t26219 = t26904*t27664; + t26216 = x*t27497; + t26215 = z*t27419; + t26207 = RATIONAL(245.0,288.0)*t27508; + t26206 = t26870*t27682; + t26205 = y*t26795; + t26201 = RATIONAL(245.0,216.0)*t27508; + t26195 = z*t27336; + t26193 = y*t26828; + t26191 = y*t26811; + t26186 = x*t27326; + t26184 = z*t27327; + t26177 = z*t27405; + t26170 = t27137*t27611; + t26164 = t26869*t27683; + t26163 = t26866*t27683; + t26161 = y*t26827; + t26160 = z*t27381; + t26157 = RATIONAL(-343.0,216.0)*t27508; + t26156 = y*t26796; + t26154 = t27123*t27612; + t26152 = t27161*t27607; + t26151 = t27122*t27612; + t26149 = t27149*t27612; + t26148 = t27129*t27612; + t26144 = t27125*t27612; + t26139 = t27164*t27606; + t26137 = t27131*t27612; + t26135 = t27163*t27381; + t26133 = x*t27374; + t26132 = t27122*t27611; + t26128 = t27149*t27611; + t26127 = t27123*t27611; + t26124 = x*t27371; + t26121 = t27444*t27682; + t26117 = t27164*t27349; + t26113 = t27538*t27683; + t26110 = z*t27344; + t26109 = z*t27394; + t26107 = t26850*t27682; + t26101 = z*t27365; + t26087 = z*t27323; + t26083 = z*t27357; + t26078 = t27162*t27396; + t26077 = x*t27396; + t26073 = t27163*t27343; + t26072 = t27163*t27369; + t26068 = z*t27393; + t26063 = z*t27351; + t26060 = y*t26661; + t26055 = x*t27392; + t26052 = t27161*t27376; + t26049 = x*t27364; + t26047 = z*t27382; + t26045 = t27047*t27611; + t26041 = t27162*t27389; + t26010 = t27161*t27602; + t26009 = t27058*t27408; + t26002 = t26851*t27683; + t26000 = y*t26577; + t25996 = t27095*t27408; + t25992 = z*t27325; + t25989 = x*t27402; + t25981 = x*t27404; + t25977 = t27095*t27409; + t25973 = t27063*t27611; + t25972 = t27073*t27611; + t25968 = x*t27338; + t25965 = t27013*t27611; + t25958 = z*t27369; + t25957 = x*t27376; + t25956 = y*t26680; + t25944 = y*t26627; + t25943 = y*t26654; + t25940 = y*t26612; + t25933 = y*t26615; + t25931 = z*t27343; + t25906 = x*t27370; + t25902 = t27002*t27611; + t25894 = z*t27378; + t25893 = y*t26366; + t25882 = t27505*t27683; + t25875 = z*t27322; + t25872 = t26926*t27612; + t25866 = y*t26300; + t25863 = t26992*t27408; + t25851 = y*t26336; + t25838 = y*t26510; + t25833 = z*t27352; + t25830 = t27163*t27352; + t25824 = x*t27355; + t25821 = t27164*t27604; + t25819 = t26998*t27409; + t25813 = y*t26450; + t25810 = y*t26383; + t25802 = t27164*t27609; + t25795 = y*t26337; + t25793 = y*t26321; + t25790 = z*t27368; + t25770 = t26913*t27408; + t25769 = y*t26270; + t25763 = t27161*t27385; + t25753 = y*t26251; + coeff_dyy_m2_m2_m2 = t26318+t25795+t25793+t26310+t26312+t26979*t27317+(( +t26982+t27082*y)*t27164+t27654*t26979)*t27161+t27284+t27416+t27825; + coeff_dyy_m1_m2_m2 = t27164*t27618+t26468+t27207+t26706+t27516+t27776+ +t27787+t27888; + coeff_dyy_0_m2_m2 = t26697+t27654*t27024+(t27092*t27162+t27319)*t27164+ +t27215+t27802+t27878+t27883; + coeff_dyy_p1_m2_m2 = t26073+t26668+t25931+t26672+(t27049*t27162+t27096*x) +*t27164+t27208+t27764+t27879; + coeff_dyy_p2_m2_m2 = t26987*t27680+t26408+t26072+t27169+t25958+t25810+ +t26409+t27495+t27714; + coeff_dyy_p3_m2_m2 = t25830+t26987*t27441+t26393+t25833+t27179+t27900; + coeff_dyy_m2_m1_m2 = t26568+t26557+t26539+t25902+t26547+t26549+t26111+ +t27286+t27302+t27776+t27847; + coeff_dyy_m1_m1_m2 = t26107+t26771+t25894+t26283+t26974*t27931+t27185+ +t27546+t27824+t27909; + coeff_dyy_0_m1_m2 = t27039*t27671+t26748+t27654*t27083+t27248+t27265+ +t27713+t27727; + coeff_dyy_p1_m1_m2 = t25838+t27187+t26721+t26720+t26724+t27300+t27775+ +t27876; + coeff_dyy_p2_m1_m2 = t26215+t26109+t27178+t26333+t27280+t27752+t27753; + coeff_dyy_p3_m1_m2 = t25790+t26478+t27256+t27704+t27918; + coeff_dyy_m2_0_m2 = t26439+t27159*t27407+t26193+t26205+t27215+t26445+ +t26441+t27554+t27819+t27828; + coeff_dyy_m1_0_m2 = t26195+t27195+t26170+t26685+t27454+t27725+t27727; + coeff_dyy_0_0_m2 = t26418+t26413+t27138*t27671+t27654*t27086+t26924* +t27931+t27294+t27698+t27831+t27862; + coeff_dyy_p1_0_m2 = t27176+t26392+t26642+t26186+t27275+t27748+t27780; + coeff_dyy_p2_0_m2 = t27198+t26191+t26234+t26377+t27299+t27733+t27765; + coeff_dyy_p3_0_m2 = t26349+t26087+t27231+t27868+t27923; + coeff_dyy_m2_p1_m2 = t26543+t26191+t27133*t27407+t27208+t26538+t26561+ +t26545+t27696+t27922; + coeff_dyy_m1_p1_m2 = t26271+t26189+t26184+t26186+t27187+t26776+t27737+ +t27741; + coeff_dyy_0_p1_m2 = t26520+t27147*t27671+t27654*t27094+t27245+t27296+ +t27708+t27748; + coeff_dyy_p1_p1_m2 = t26170+t26729+t26503+t26384+t26199+t26961*t27931+ +t27731+t27772+t27862+t27894; + coeff_dyy_p2_p1_m2 = t27236+t26339+t26233+t26193+t26177+t27686+t27693; + coeff_dyy_p3_p1_m2 = t25933+t27255+t27597+t27745+t27926; + coeff_dyy_m2_p2_m2 = t26663+t26464+t26466+t26440+t26443+t25872+t25846+ +t26075+t27280+t27714+t27786; + coeff_dyy_m1_p2_m2 = t26431+t27178+t25875+t26692+t26684+t27300+t27750+ +t27829; + coeff_dyy_0_p2_m2 = t27037*t27671+t26817+t27654*t27042+t27234+t27308+ +t27765+t27811; + coeff_dyy_p1_p2_m2 = t26107+t25866+t26813+t27230+t26640+t27686+t27781; + coeff_dyy_p2_p2_m2 = t26381+t26372+t25902+t27088*t27931+t27200+t27773+ +t27854+t27909; + coeff_dyy_p3_p2_m2 = t26346+t27244+t27490+t27724+t27916; + coeff_dyy_m2_p3_m2 = t26559+t27101*t27407+t27179+t25893+t26534+t25810+ +t27559+t27586+t27779; + coeff_dyy_m1_p3_m2 = t26083+t27196+t26525+t26552+t27704+t27734+t27879; + coeff_dyy_0_p3_m2 = t26759+t27078*t27671+t27654*t27082+t27231+t27710+ +t27807+t27895; + coeff_dyy_p1_p3_m2 = t26435+t26671+t25935+t26446+t27221+t27310+t27745+ +t27845; + coeff_dyy_p2_p3_m2 = t26467+t25795+t27193+t26469+t27291+t27724+t27767; + coeff_dyy_p3_p3_m2 = t25793+t26303+t26959*t27931+t27252+t27569+t27915; + coeff_dyy_m2_m2_m1 = t26295+t27207+t26087+t26352+t26077+t26078+z*t27512+ +t27579+t27847+t27861; + coeff_dyy_m1_m2_m1 = t26683+RATIONAL(25.0,32.0)*t27407+t26068+t27185+ +t26690+t26250+t26689+t27720+t27809; + coeff_dyy_0_m2_m1 = t27596+t27153*t27671+t27159*z+t27225+t26660+t27713+ +t27866+t27893; + coeff_dyy_p1_m2_m1 = t27189+t26164+t26641+t26633+t27301+t27763+t27775; + coeff_dyy_p2_m2_m1 = t26163+t26055+t27204+t26610+t27541+t27752+t27774; + coeff_dyy_p3_m2_m1 = t26671+t26002+t27242+t27700+t27918; + coeff_dyy_m2_m1_m1 = t26219+t26523+t26592+t26101+t26773+t26974*t27317+ +t27285+t27720+t27824+t27834; + coeff_dyy_m1_m1_m1 = t25882+t26207+t25770+t26554+t26526+(t26956*x+t26887* +t27162)*t27164+(t26887*t27163+t26956*z+(RATIONAL(125.0,32.0)+RATIONAL(-175.0, +32.0)*y)*t27164)*t27161+t27288+t27498+t27874; + coeff_dyy_0_m1_m1 = t26273+t27150*z+t26969*t27163+t26765+(t27062*t27162+ +t27320)*t27164+t27262+t27268+t27754+t27792; + coeff_dyy_p1_m1_m1 = t25906+t26269+t26722+t25788+t25769+(t27051*t27162+ +t26932*x)*t27164+t27549+t27706+t27736+t27875; + coeff_dyy_p2_m1_m1 = t26470+t26227+t25863+(t26889*t27162+t26955*x)*t27164 ++t27202+t27778+t27872+t27920; + coeff_dyy_p3_m1_m1 = t26060+t25763+t26955*t27441+t26709+t27218+t27797; + coeff_dyy_m2_0_m1 = t26707+t26260+t26160+t26161+t27225+t27701+t27725; + coeff_dyy_m1_0_m1 = t26484+RATIONAL(25.0,2.0)*t27407+t26157+t26049+t27206 ++t26426+t27595+t27754+t27884; + coeff_dyy_0_0_m1 = t27085*t27671+t26246+t26041+(t26958+t26911*t27161)* +t27163+(t26886*t27161+t27057)*z+t27175+t27269+t27830; + coeff_dyy_p1_0_m1 = t26376+t26236+t26045+t27194+t27685+t27738+t27911; + coeff_dyy_p2_0_m1 = t26151+t26229+t26156+t27203+t27542+t27755+t27769; + coeff_dyy_p3_0_m1 = t26598+t26152+t27167+t27897+t27919; + coeff_dyy_m2_p1_m1 = t27189+t26216+t26148+t26156+t26782+t27690+t27741; + coeff_dyy_m1_p1_m1 = t26527+t26063+RATIONAL(-25.0,2.0)*t27407+t26201+ +t26045+t27201+t26540+t27461+t27706; + coeff_dyy_0_p1_m1 = t26507+t26968*t27163+t27030*z+t27077*t27671+t27238+ +t27298+t27738+t27928; + coeff_dyy_p1_p1_m1 = t26049+t26498+t26041+(t26895*z+t26922*t27163)*t27161 ++t27311+t27573+t27782+t27784+t27886; + coeff_dyy_p2_p1_m1 = t26255+t26404+t26161+t27171+t26154+t27707+t27777; + coeff_dyy_p3_p1_m1 = t26144+t26713+t27232+t27835+t27841; + coeff_dyy_m2_p2_m1 = t27204+t26442+t26110+t26696+t27433+t27770+t27829+ +t27872; + coeff_dyy_m1_p2_m1 = t26829+t26761+t26474+RATIONAL(175.0,32.0)*t27407+ +t25906+t27283+t27513+t27519+t27758+t27778; + coeff_dyy_0_p2_m1 = t27039*t27163+t27174+t27139*z+t26812+t27022*t27671+ +t27260+t27769+t27815; + coeff_dyy_p1_p2_m1 = t26619+t27177+t26000+t26801+t27707+t27749+t27874; + coeff_dyy_p2_p2_m1 = t26342+t26666+t26791+t26137+(t27634+t27467)*t27161+ +t27285+t27288+t27766+t27771; + coeff_dyy_p3_p2_m1 = t25992+t26589+t27251+t27695+t27860; + coeff_dyy_m2_p3_m1 = t26055+t25933+t26302+t27196+t27523+t27700+t27743; + coeff_dyy_m1_p3_m1 = t26047+RATIONAL(-25.0,32.0)*t27407+t26770+t27218+ +t26285+t26548+t26544+t27301+t27759; + coeff_dyy_0_p3_m1 = t27167+t27079*t27163+t27121*t27671+t27124*z+t26742+ +t27709+t27793+t27857; + coeff_dyy_p1_p3_m1 = t27232+t26113+t26502+t26732+t27705+t27723+t27809; + coeff_dyy_p2_p3_m1 = t26149+t26077+t27214+t26454+t26378+t27695+t27732; + coeff_dyy_p3_p3_m1 = t26078+t26010+(t26982*z+t27583)*t27161+t27253+t27422 ++t27804; + coeff_dyy_m2_m2_0 = t26694+t26702+t27679*t27024+(t27092*t27163+t27319)* +t27161+t27273+t27828+t27836+t27883+t27921; + coeff_dyy_m1_m2_0 = t27590+t27195+t27667+t26673+y*t27534+t27715+t27842+ +t27866; + coeff_dyy_0_m2_0 = t26389+t27141+t27580*t27143+(t27130+t26958*t27591+ +t27424*t27151)*y+t27188+t27698; + coeff_dyy_p1_m2_0 = t27176+t27592+t27628+t26693+t27336+t27697+t27904+ +t27914; + coeff_dyy_p2_m2_0 = t27198+t27593+t27073*x+t27140*t27619+t26601+t27691+ +t27850+t27901; + coeff_dyy_p3_m2_0 = t27598+t27088*t27619+t27192+t27794+t27923; + coeff_dyy_m2_m1_0 = t26586+t27337+t27679*t27083+t27248+t27701+t27715+ +t27892; + coeff_dyy_m1_m1_0 = t27150*x+t26969*t27162+t26579+(t27062*t27163+t27320)* +t27161+t27206+t27792+t27813+t27859; + coeff_dyy_0_m1_0 = RATIONAL(5.0,2.0)+t26769+t27580*t27076+(t27054*t27164+ +RATIONAL(-7.0,2.0)+(t27054+RATIONAL(-343.0,18.0)*t27164)*t27161)*y+t27175+ +t27795+t27880; + coeff_dyy_p1_m1_0 = t27081*t27162+t26754+t27154*x+t27335+t27168+t27685+ +t27801+t27882; + coeff_dyy_p2_m1_0 = t27106*x+t26967*t27162+t27203+t26698+t27145*t27619+ +t27689+t27858+t27912; + coeff_dyy_p3_m1_0 = t27332+t27106*t27162+t27186+t27796+t27897; + coeff_dyy_m2_0_0 = t26365+t26009+t27138*t27619+t27188+t27292+t27679*( +t27086+t27480)+t27831; + coeff_dyy_m1_0_0 = t26253+t27085*t27619+t26242+(t26958+t26911*t27164)* +t27162+(t27057+t26886*t27164)*x+t27281+t27830+t27855+t27880+t27906; + coeff_dyy_0_0_0 = t27118+RATIONAL(8.0,1.0)*y+t26248+t27580*t27117+(t27091 +*y+t27111+t26918*t27162)*t27164+(t26918*t27163+RATIONAL(-686.0,27.0)*t27164+ +t27111+(t27091+RATIONAL(392.0,9.0)*t27164)*y)*t27161+t27271+t27808; + coeff_dyy_p1_0_0 = t26239+t27333+t26230+(t26919*t27164+t27035)*t27162+( +t27069+t26901*t27164)*x+t27290+t27702+t27885+t27905; + coeff_dyy_p2_0_0 = t25996+t26359+t27152*t27619+(t26947+t26909*t27164)* +t27162+t27259*x+t27170+t27307+t27800; + coeff_dyy_p3_0_0 = t26135+t27334+t27259*t27162+t27718+t27903+t27925; + coeff_dyy_m2_p1_0 = t26319+t27147*t27619+t27679*t27094+t27245+t27307+ +t27697+t27739; + coeff_dyy_m1_p1_0 = t26968*t27162+t26304+t27626+t27077*t27619+t27168+ +t27692+t27905+t27928; + coeff_dyy_0_p1_0 = t27076+t26289+t27580*t27012+(RATIONAL(-8.0,1.0)+t27017 +*t27164+(RATIONAL(-392.0,9.0)*t27164+t27017)*t27161)*y+t27222+t27702; + coeff_dyy_p1_p1_0 = t26551+t27064*t27162+t27032*x+(t26893*t27163+t27315)* +t27161+t27183+t27808+t27855+t27924; + coeff_dyy_p2_p1_0 = t26925*t27162+t27661+t27235+t27155*t27619+t26517+ +t27292+t27726+t27816; + coeff_dyy_p3_p1_0 = t27331+t27584+t27173+t27870+t27887; + coeff_dyy_m2_p2_0 = t27330+t26831+t27679*t27042+t27217+t27691+t27811+ +t27858; + coeff_dyy_m1_p2_0 = t27039*t27162+t26830+t27227+t27139*x+t27022*t27619+ +t27689+t27801+t27815; + coeff_dyy_0_p2_0 = RATIONAL(-1.0,1.0)+t26657+t27580*t27138+(RATIONAL( +343.0,18.0)*t27591+RATIONAL(7.0,2.0)+t27424*RATIONAL(-49.0,6.0))*y+t27170+ +t27837+t27856; + coeff_dyy_p1_p2_0 = t27147*t27162+t27132*x+t27235+t27328+t27548+t27760+ +t27859+t27908; + coeff_dyy_p2_p2_0 = t26800+t27037*t27162+t27078*x+(t27486+t27318)*t27161+ +t27229+t27813+t27838+t27892; + coeff_dyy_p3_p2_0 = t27329+t27078*t27162+t27247+t27717+t27898; + coeff_dyy_m2_p3_0 = t27078*t27619+t26706+t26463+t27679*t27082+t27192+ +t27751+t27807+t27901; + coeff_dyy_m1_p3_0 = t27079*t27162+t27668+t26578+t27121*t27619+t27186+ +t27703+t27857+t27914; + coeff_dyy_0_p3_0 = t27142+t26575+t27580*t27159+(RATIONAL(-1.0,2.0)+t27472 ++(t27131+t26947*t27164)*t27161)*y+t27212+t27718; + coeff_dyy_p1_p3_0 = t26787+t26199+t27133*t27162+t27638+t27327+t27173+ +t27762+t27842+t27863; + coeff_dyy_p2_p3_0 = t27103*t27162+t27182+t27648+t27136*t27619+t26668+ +t27717+t27848+t27921; + coeff_dyy_p3_p3_0 = t26508+t26409+t27101*t27162+(t27561+t27316)*t27161+ +t27527+t27836+t27899; + coeff_dyy_m2_m2_p1 = t26601+t26669+t25933+t26671+t25989+(t27049*t27163+ +t27096*z)*t27161+t27304+t27696+t27764; + coeff_dyy_m1_m2_p1 = t26047+t26610+t26693+t27233+t27282+t27737+t27763; + coeff_dyy_0_m2_p1 = t27588+t27388+t27133*z+t27191+t26641+t27708+t27793+ +t27904; + coeff_dyy_p1_m2_p1 = t27211+RATIONAL(25.0,18.0)*t27407+t26113+t26690+ +t26673+t26389+t26660+t27312+t27772; + coeff_dyy_p2_m2_p1 = t26149+t25968+t26694+t26689+t27180+t27577+t27693+ +t27881; + coeff_dyy_p3_m2_p1 = t26010+t27255+t27579+t27721+t27818; + coeff_dyy_m2_m1_p1 = t25813+t26698+t26110+t26709+t27233+t27502+t27690+ +t27876; + coeff_dyy_m1_m1_p1 = t25753+t25956+t26754+t26470+(t26932*z+t27051*t27163) +*t27161+t27201+t27283+t27736; + coeff_dyy_0_m1_p1 = t27400+t27081*t27163+t26722+t27238+t27154*z+t27260+ +t27728+t27882; + coeff_dyy_p1_m1_p1 = t26579+y*t26231+t26000+t27197+t25944+t26769+t26765+ +t26050+t27498+t27782; + coeff_dyy_p2_m1_p1 = t26137+t25851+t26554+t26586+t27171+t27546+t27687+ +t27821; + coeff_dyy_p3_m1_p1 = t26592+t25992+t27237+t27835+t27891; + coeff_dyy_m2_0_p1 = t26359+t26148+t26598+t27191+t27306+t27739+t27780; + coeff_dyy_m1_0_p1 = t26063+t25973+t27194+t26230+t27542+t27692+t27728; + coeff_dyy_0_0_p1 = t25819+t26236+t27389+(t26919*t27161+t27035)*t27163+( +t27069+t26901*t27161)*z+t27222+t27298+t27885; + coeff_dyy_p1_0_p1 = t26484+RATIONAL(200.0,9.0)*t27407+t26253+t26248+ +t25965+t26246+t27183+t27311+t27756; + coeff_dyy_p2_0_p1 = t26154+t27181+t26365+t27595+t27726+t27735+t27867; + coeff_dyy_p3_0_p1 = t26707+t26144+t27184+t27799+t27870; + coeff_dyy_m2_p1_p1 = t26160+t26009+t26713+t26517+t26961*t27317+t27211+ +t27731+t27867; + coeff_dyy_m1_p1_p1 = t26404+t25965+t26551+(t26922*t27162+t26895*x)*t27164 ++t27197+t27784+t27884+t27906; + coeff_dyy_0_p1_p1 = t26498+t27064*t27163+t27635+t26278+(t26893*t27162+ +t27315)*t27164+t27269+t27271+t27756+t27924; + coeff_dyy_p1_p1_p1 = t25819+t25973+t26507+t26289+t26304+(t26900*x+t26875* +t27162)*t27164+(t26875*t27163+t26900*z+(RATIONAL(-200.0,9.0)*y+RATIONAL(250.0, +27.0))*t27164)*t27161+t27290+t27461+t27911; + coeff_dyy_p2_p1_p1 = t26319+t26540+t26151+t25996+(t26914*t27162+t26983*x) +*t27164+t27216+t27306+t27783; + coeff_dyy_p3_p1_p1 = t26152+t26983*t27441+t26135+t26782+t27190+t27927; + coeff_dyy_m2_p2_p1 = t26101+t25851+t26589+t27180+t26800+t27694+t27781; + coeff_dyy_m1_p2_p1 = t27177+t26666+t25944+t25882+t27548+t27687+t27746; + coeff_dyy_0_p2_p1 = t27401+t27132*z+t27172+t27147*t27163+t26801+t27262+ +t27735+t27908; + coeff_dyy_p1_p2_p1 = RATIONAL(175.0,18.0)*t27407+t25956+t27216+t26830+ +t26829+t26657+t26812+t27716+t27875; + coeff_dyy_p2_p2_p1 = t26831+t25813+t25753+t26761+(t27522+t27144*z)*t27161 ++t27209+t27798+t27853+t27920; + coeff_dyy_p3_p2_p1 = t26696+t26060+t27249+t27711+t27827; + coeff_dyy_m2_p3_p1 = t26087+t25968+t27226+t26668+t27422+t27560+t27721+ +t27845; + coeff_dyy_m1_p3_p1 = t26787+t26068+t26378+t27237+t27312+t27723+t27761; + coeff_dyy_0_p3_p1 = t27133*t27163+t27391+t27184+t27156*z+t26732+t27699+ +t27863+t27893; + coeff_dyy_p1_p3_p1 = t26575+t26095+RATIONAL(-25.0,18.0)*t27407+t26164+ +t26742+t26770+t26578+t27190+t27282+t27833; + coeff_dyy_p2_p3_p1 = t26163+t25989+t26706+t27219+t26544+t27711+t27744; + coeff_dyy_p3_p3_p1 = t26302+t26002+t26519+(t27471+t27636)*t27161+t27304+ +t27877+t27907; + coeff_dyy_m2_m2_p2 = t25981+t27169+t25893+z*t27530+t26485+t26393+t27541+ +t27786+t27823; + coeff_dyy_m1_m2_p2 = t26083+t25924+t26408+t27223+t26206+t26633+t27750+ +t27774; + coeff_dyy_0_m2_p2 = t27140*t27671+t27676+t27531+t27234+t26672+t27719+ +t27850+t27895; + coeff_dyy_p1_m2_p2 = t26683+t26128+t26710+t27230+t26697+t27310+t27747+ +t27881; + coeff_dyy_p2_m2_p2 = t26295+t26468+RATIONAL(1.0,8.0)*t27407+t25957+t27200 ++t26318+t26250+t27291+t27722; + coeff_dyy_p3_m2_p2 = t26310+t27244+t27569+t27730+t27840; + coeff_dyy_m2_m1_p2 = t26227+t27223+t25872+t26478+t27278+t27753+t27770; + coeff_dyy_m1_m1_p2 = t25875+t26215+t26121+(t26955*z+t26889*t27163)*t27161 ++t27202+t27549+t27758+t27871; + coeff_dyy_0_m1_p2 = t27145*t27671+t27174+t27106*z+t26967*t27163+t26720+ +t27308+t27768+t27912; + coeff_dyy_p1_m1_p2 = t27228+t25866+t26526+t26773+t26748+t27309+t27749+ +t27821; + coeff_dyy_p2_m1_p2 = t26283+t26207+t26219+RATIONAL(-7.0,8.0)*t27407+ +t27210+t26557+t27771+t27790+t27854; + coeff_dyy_p3_m1_p2 = t26539+t27251+t27490+t27740+t27826; + coeff_dyy_m2_0_p2 = t27217+t26229+t26133+t26349+t27719+t27733+t27922; + coeff_dyy_m1_0_p2 = t26376+t26184+t26108+t26132+t27227+t26234+t27755+ +t27768; + coeff_dyy_0_0_p2 = t25977+t26392+t27152*t27671+t26606+(t26909*t27161+ +t26947)*t27163+t27258*z+t27296+t27297+t27800+t27837; + coeff_dyy_p1_0_p2 = t26127+t26418+t26426+t27181+t26050+t27757+t27760+ +t27894; + coeff_dyy_p2_0_p2 = RATIONAL(2.0,1.0)*t27407+t26260+t26157+t26177+t26124+ +t27229+t27454+t27554+t27742; + coeff_dyy_p3_0_p2 = t25933+t26441+t27213+t27817+t27898; + coeff_dyy_m2_p1_p2 = t27236+t26255+t26205+t26124+t27597+t27694+t27747; + coeff_dyy_m1_p1_p2 = t27228+t26195+t26127+t26233+t27573+t27746+t27777; + coeff_dyy_0_p1_p2 = t26925*t27163+t27155*t27671+t26384+t27116*z+t27172+ +t27294+t27757+t27816; + coeff_dyy_p1_p1_p2 = t26527+t25977+t26132+t26520+(t26914*t27163+t26983*z) +*t27161+t27275+t27716+t27783+t27902; + coeff_dyy_p2_p1_p2 = t26216+t26545+t26201+t26271+RATIONAL(-2.0,1.0)* +t27407+t26814+t26133+t27277+t27299+t27729+t27798; + coeff_dyy_p3_p1_p2 = t26087+t26543+t27249+t27712+t27846; + coeff_dyy_m2_p2_p2 = t26346+t26618+t26342+t27088*t27317+t27286+t27722+ +t27773+t27790+t27834; + coeff_dyy_m1_p2_p2 = t25770+t26381+t26619+t25894+(t27613+t27415)*t27164+ +t27210+t27309+t27766; + coeff_dyy_0_p2_p2 = t27078*z+t26813+t27037*t27163+t26797+(t27555+t27318)* +t27164+t27265+t27268+t27742+t27838; + coeff_dyy_p1_p2_p2 = t26108+t26121+t25769+t26817+t25838+(t27144*x+t27518) +*t27164+t27209+t27519+t27729; + coeff_dyy_p2_p2_p2 = t26109+t26442+t26431+t26443+t25863+(t27629+t27460)* +t27164+(t27581+t27107*z+(t27140+RATIONAL(7.0,8.0)*y)*t27164)*t27161+t27278+ +t27513+t27871; + coeff_dyy_p3_p2_p2 = t26466+t25763+t27164*t27418+t25790+t27224+t27910; + coeff_dyy_m2_p3_p2 = t27220+t26303+t25957+t26454+t27284+t27730+t27767; + coeff_dyy_m1_p3_p2 = t26467+t26128+t26502+t27199+t27732+t27740+t27888; + coeff_dyy_0_p3_p2 = t26671+t27136*t27671+t27103*t27163+t27101*z+t27213+ +t27688+t27848+t27878; + coeff_dyy_p1_p3_p2 = t26759+t25931+t26206+t27205+t26548+t27712+t27744; + coeff_dyy_p2_p3_p2 = t27224+RATIONAL(-1.0,8.0)*t27407+t25981+t25958+ +t26525+t26285+t27523+t27586+t27785; + coeff_dyy_p3_p3_p2 = t26534+t25833+t26052+t26553+(t26981*z+t27544)*t27161 ++t27528+t27823+t27832; + coeff_dyy_m2_m2_p3 = t26385+t27163*t27530+t25824+t27495+t27599+t27779+ +t27900; + coeff_dyy_m1_m2_p3 = t26668+t27242+t27479+t27734+t27788; + coeff_dyy_0_m2_p3 = t27594+y*t27485+t27254+t27710+t27794; + coeff_dyy_p1_m2_p3 = t26706+t25972+t27221+t27812+t27818; + coeff_dyy_p2_m2_p3 = t26312+t25821+t27193+t27840+t27851; + coeff_dyy_p3_m2_p3 = t27164*t27352+t26449+t27416+t27789+t27915; + coeff_dyy_m2_m1_p3 = t26333+t27256+t27545+t27743+t27788; + coeff_dyy_m1_m1_p3 = t26955*t27574+t26724+t25924+t26457+t25943+t27600+ +t27759+t27797; + coeff_dyy_0_m1_p3 = t27106*t27163+t27164*t27663+t27243+t27709+t27796; + coeff_dyy_p1_m1_p3 = t25940+t26771+t27250+t27705+t27891; + coeff_dyy_p2_m1_p3 = t25802+t26547+t27214+t27826+t27896; + coeff_dyy_p3_m1_p3 = t27161*t27358+t26549+t27804+t27810+t27889; + coeff_dyy_m2_0_p3 = t26377+t27254+t27516+t27751+t27868; + coeff_dyy_m1_0_p3 = t26642+t26139+t27243+t27703+t27919; + coeff_dyy_0_0_p3 = t26117+t27164*t27616+t27258*t27163+t27212+t27903; + coeff_dyy_p1_0_p3 = t26685+t27240+t27431+t27762+t27799; + coeff_dyy_p2_0_p3 = t26015+t26445+t27182+t27817+t27917; + coeff_dyy_p3_0_p3 = t26085+t27164*t27323+t26409+t26439+t27246; + coeff_dyy_m2_p1_p3 = t26339+t26015+t27226+t27812+t27926; + coeff_dyy_m1_p1_p3 = t26729+t27250+t27431+t27761+t27841; + coeff_dyy_0_p1_p3 = t27587+t27164*t27665+t27240+t27699+t27887; + coeff_dyy_p1_p1_p3 = t26776+t26139+t26983*t27574+t26117+t26522+t27287+ +t27833+t27927; + coeff_dyy_p2_p1_p3 = t25935+t26561+t27219+t27846+t27852; + coeff_dyy_p3_p1_p3 = t26538+t27164*t27390+t27241+t27877; + coeff_dyy_m2_p2_p3 = t26372+t25802+t27220+t27851+t27916; + coeff_dyy_m1_p2_p3 = t26640+t25940+t27199+t27860+t27896; + coeff_dyy_0_p2_p3 = t27164*t27658+t27078*t27163+t27247+t27688+t27917; + coeff_dyy_p1_p2_p3 = t25943+t26692+t27205+t27827+t27852; + coeff_dyy_p2_p2_p3 = t27161*t27551+t26621+t26464+t27545+t27600+t27785+ +t27910; + coeff_dyy_p3_p2_p3 = t27164*t27321+t26440+t27239+t27832; + coeff_dyy_m2_p3_p3 = t26469+t25821+t26959*t27317+t27252+t27789+t27825; + coeff_dyy_m1_p3_p3 = t25972+t26435+(t27539+t27657)*t27164+t27253+t27787+ +t27889; + coeff_dyy_0_p3_p3 = t27101*t27163+(t27429+t27316)*t27164+t27246+t27802+ +t27899; + coeff_dyy_p1_p3_p3 = t26073+t26552+(t27662+t27547)*t27164+t27241+t27479+ +t27907; + coeff_dyy_p2_p3_p3 = t26052+t25824+t26072+t26515+(t27623+t27443)*t27164+ +t27239+t27559; + coeff_dyy_p3_p3_p3 = t26981*t27441+t26559+t25830+(t27564+(t27631+t26959)* +t27164)*t27161+t27599; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-dyz.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-dyz.compute.c new file mode 100644 index 0000000..1ee703f --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-dyz.compute.c @@ -0,0 +1,4267 @@ +fp t29714, + t29715, + t30347, + t30360, + t30654, + t29547, + t29583, + t29342, + t30652, + t29494, + t29298, + t29716, + t29713, + t29712, + t29816, + t30651, + t29518, + t30063, + t28793, + t29401, + t30267, + t29999, + t30650, + t29567, + t29946, + t28555, + t30342, + t30297, + t29628, + t30649, + t29669, + t30174, + t29254, + t29678, + t30081, + t30648, + t29836, + t28182, + t30346, + t29530, + t29929, + t30647, + t30112, + t29121, + t29539, + t28104, + t30646, + t29613, + t30340, + t29187, + t30361, + t29693, + t29363, + t30645, + t28055, + t29689, + t29353, + t29981, + t30644, + t30303, + t30296, + t30320, + t29710, + t29239, + t29584, + t30643, + t29519, + t29621, + t30145, + t29175, + t30642, + t29489, + t29935, + t29672, + t30054, + t29267, + t30641, + t29978, + t30027, + t29264, + t30640, + t29535, + t29528, + t30079, + t28917, + t30161, + t30639, + t30087, + t28979, + t29887, + t29420, + t28003, + t30638, + t29633, + t30029, + t29075, + t29695, + t30637, + t29424, + t30013, + t28962, + t29640, + t29328, + t30636, + t30066, + t29023, + t29668, + t30090, + t29965, + t30635, + t29894, + t28320, + t30634, + t29591, + t30051, + t29048, + t29696, + t30006, + t30633, + t29651, + t29238, + t30632, + t29499, + t29302, + t30631, + t29560, + t30329, + t29916, + t28419, + t29594, + t29350, + t29923, + t30630, + t29619, + t30108, + t29865, + t28416, + t29658, + t30057, + t29161, + t30629, + t29645, + t30334, + t29705, + t30144, + t29262, + t30628, + t30001, + t29646, + t30189, + t29039, + t30627, + t29577, + t30023, + t29821, + t28515, + t29690, + t29360, + t29232, + t30626, + t30170, + t29062, + t30625, + t28324, + t29592, + t30624, + t29956, + t28483, + t29918, + t30623, + t29532, + t30025, + t28925, + t29542, + t30622, + t29605, + t30266, + t29058, + t29876, + t28188, + t30621, + t29431, + t29928, + t30620, + t29708, + t30064, + t29220, + t29590, + t29947, + t30619, + t30114, + t29006, + t30618, + t29574, + t30180, + t29871, + t28543, + t29456, + t30335, + t29961, + t28218, + t30617, + t29996, + t29610, + t28249, + t29995, + t29632, + t30616, + t28260, + t30615, + t30614, + t29108, + t30310, + t30613, + t29676, + t30186, + t29255, + t29636, + t30061, + t30612, + t29561, + t29333, + t29825, + t30611, + t30008, + t29227, + t28708, + t29510, + t30121, + t30610, + t29630, + t28567, + t30241, + t28569, + t30609, + t29673, + t30219, + t29250, + t29423, + t30089, + t28811, + t30608, + t30256, + t28716, + t29526, + t30273, + t30607, + t28744, + t30606, + t29572, + t30059, + t29855, + t28411, + t30605, + t29643, + t30164, + t29138, + t29127, + t30604, + t29586, + t30138, + t30314, + t29242, + t30603, + t30176, + t28969, + t30602, + t29485, + t30049, + t28834, + t29483, + t30105, + t30601, + t29606, + t29926, + t30120, + t29952, + t28011, + t30600, + t29655, + t28378, + t29544, + t30599, + t29504, + t30261, + t28850, + t29476, + t30350, + t30598, + t30194, + t28840, + t30123, + t29936, + t30597, + t29631, + t30356, + t30190, + t29259, + t30596, + t29503, + t28135, + t29702, + t30311, + t29962, + t30595, + t28222, + t29997, + t30594, + t29847, + t27967, + t29559, + t29348, + t30593, + t29523, + t30333, + t29912, + t28031, + t30592, + t29691, + t30085, + t29236, + t29670, + t30010, + t30591, + t30249, + t29979, + t28156, + t30590, + t29514, + t30589, + t30009, + t28965, + t28528, + t29479, + t28885, + t30588, + t28081, + t29966, + t30587, + t29575, + t30154, + t29094, + t29480, + t30058, + t28775, + t30586, + t28214, + t29624, + t30124, + t30585, + t29959, + t28709, + t30584, + t30188, + t29205, + t29571, + t30348, + t30583, + t28273, + t29512, + t30103, + t28753, + t28043, + t30582, + t29671, + t29922, + t30581, + t30024, + t29070, + t29609, + t30304, + t30580, + t29615, + t29197, + t29623, + t30110, + t30579, + t28759, + t30020, + t29939, + t28387, + t30578, + t30294, + t27993, + t30577, + t29426, + t29534, + t30576, + t30160, + t28800, + t30575, + t29674, + t30574, + t29180, + t29306, + t30573, + t28801, + t30339, + t30572, + t30030, + t29831, + t28620, + t29556, + t29992, + t30571, + t28486, + t29649, + t28495, + t30570, + t30569, + t29545, + t30088, + t30093, + t29176, + t30568, + t28813, + t29960, + t30567, + t29642, + t30324, + t30566, + t29450, + t29372, + t30565, + t30564, + t29432, + t30095, + t28878, + t30563, + t28415, + t30562, + t29629, + t30327, + t29938, + t30118, + t29193, + t30561, + t30245, + t29638, + t29339, + t30560, + t28149, + t30559, + t30558, + t29580, + t30127, + t29136, + t28472, + t29001, + t30557, + t29495, + t30556, + t29603, + t29337, + t29635, + t29335, + t30555, + t29449, + t30330, + t29557, + t30147, + t29126, + t30554, + t29663, + t30312, + t30325, + t29271, + t30553, + t29325, + t29442, + t30017, + t30552, + t29687, + t30551, + t29686, + t28641, + t30084, + t30550, + t29932, + t28366, + t28994, + t30549, + t30548, + t28525, + t30547, + t29439, + t29300, + t30546, + t30031, + t29251, + t30545, + t30544, + t29459, + t28127, + t30543, + t29246, + t30542, + t29507, + t29296, + t29295, + t30541, + t29685, + t30082, + t29849, + t28646, + t29496, + t30540, + t29057, + t28332, + t30539, + t30097, + t29141, + t30538, + t28384, + t28751, + t30537, + t29396, + t30068, + t29344, + t30536, + t28946, + t30535, + t30042, + t29107, + t30534, + t30038, + t29249, + t30533, + t30305, + t29068, + t30532, + t29443, + t30531, + t29369, + t30530, + t30341, + t30529, + t29234, + t30528, + t29455, + t30242, + t28880, + t29406, + t30527, + t29706, + t30260, + t29974, + t28052, + t30526, + t29399, + t29293, + t29498, + t30525, + t29214, + t28513, + t30524, + t30523, + t29248, + t29481, + t28883, + t30522, + t30000, + t30521, + t29451, + t30349, + t29945, + t29351, + t30520, + t27932, + t30519, + t30140, + t29281, + t30518, + t28938, + t30193, + t30517, + t29699, + t29366, + t28131, + t30359, + t30516, + t30004, + t28853, + t30252, + t30515, + t30514, + t30513, + t29984, + t30202, + t29089, + t28317, + t30512, + t30076, + t28808, + t29327, + t30511, + t30268, + t29925, + t28882, + t28205, + t30510, + t30509, + t28514, + t29969, + t30508, + t28922, + t29562, + t29349, + t29958, + t30507, + t29644, + t30506, + t30505, + t29558, + t29341, + t30504, + t30355, + t30301, + t29415, + t30358, + t29660, + t28341, + t30503, + t29993, + t29474, + t29944, + t30502, + t29361, + t29954, + t28026, + t30501, + t28639, + t30500, + t29576, + t28431, + t29382, + t30041, + t30499, + t29540, + t30096, + t29373, + t29707, + t28653, + t30498, + t30032, + t29266, + t28579, + t29573, + t30055, + t29139, + t30060, + t30497, + t30146, + t28984, + t29973, + t28223, + t29457, + t29940, + t30496, + t29002, + t28594, + t30287, + t30495, + t29312, + t30494, + t29967, + t28206, + t29162, + t30493, + t28480, + t29994, + t30492, + t29595, + t29379, + t30129, + t30491, + t29446, + t30016, + t30490, + t29697, + t29367, + t29225, + t28696, + t29656, + t30187, + t29018, + t30489, + t30172, + t28841, + t30488, + t28634, + t30171, + t30487, + t29589, + t29019, + t28335, + t30486, + t30007, + t29077, + t29308, + t30485, + t30135, + t29508, + t29520, + t30484, + t29435, + t28676, + t29517, + t30065, + t30483, + t28819, + t30482, + t28370, + t30299, + t29440, + t29885, + t28170, + t30481, + t30338, + t30277, + t29407, + t29566, + t30480, + t29011, + t30233, + t28662, + t30479, + t29917, + t29466, + t30250, + t30478, + t28820, + t28599, + t30477, + t29867, + t28690, + t29454, + t30279, + t29538, + t30476, + t29430, + t30254, + t29654, + t29400, + t30475, + t29501, + t29854, + t28219, + t30474, + t30332, + t29982, + t29491, + t30251, + t30473, + t28635, + t30472, + t29661, + t28361, + t30471, + t29611, + t29338, + t30165, + t29838, + t30470, + t28225, + t30469, + t29601, + t29552, + t28337, + t29569, + t30207, + t30468, + t29596, + t29326, + t29652, + t28407, + t30467, + t30163, + t30466, + t30072, + t28659, + t30465, + t30464, + t30463, + t30178, + t29604, + t28425, + t30462, + t30345, + t30461, + t29516, + t29321, + t28770, + t30460, + t29934, + t28700, + t30459, + t29617, + t29448, + t30308, + t30458, + t29579, + t28289, + t30035, + t30457, + t30258, + t30456, + t30048, + t28328, + t30455, + t28706, + t30137, + t30454, + t29625, + t30290, + t30139, + t30453, + t30302, + t30199, + t29698, + t30452, + t29438, + t30210, + t28658, + t29452, + t30451, + t30284, + t28533, + t30450, + t30449, + t30448, + t30148, + t29819, + t30447, + t28371, + t30446, + t28424, + t30445, + t30238, + t29913, + t28224, + t29818, + t30444, + t29329, + t30295, + t30443, + t30442, + t29323, + t29971, + t28568, + t30441, + t29303, + t28884, + t30440, + t29506, + t30216, + t29582, + t29943, + t30101, + t28826, + t28034, + t30439, + t30438, + t29976, + t28196, + t30437, + t29317, + t30436, + t30337, + t29968, + t30435, + t29933, + t30328, + t29911, + t28262, + t30434, + t29927, + t30151, + t30433, + t29533, + t29664, + t28589, + t30432, + t29445, + t30431, + t29607, + t29493, + t30169, + t30430, + t29036, + t30271, + t29964, + t30429, + t30012, + t30428, + t29467, + t30427, + t28868, + t29937, + t30426, + t29948, + t28015, + t30056, + t30309, + t30425, + t29403, + t30317, + t30213, + t30424, + t29324, + t30423, + t29340, + t30422, + t28687, + t30291, + t30421, + t29059, + t28147, + t30420, + t30419, + t30418, + t28531, + t29331, + t30417, + t29222, + t29942, + t30416, + t29419, + t29626, + t30415, + t29648, + t30414, + t29492, + t30298, + t30413, + t29963, + t30412, + t30200, + t28367, + t29600, + t29427, + t30315, + t30411, + t29434, + t30067, + t28873, + t30283, + t28605, + t29666, + t30410, + t28978, + t29484, + t30409, + t29453, + t30293, + t29460, + t30408, + t30181, + t28992, + t29970, + t30407, + t30406, + t29370, + t29921, + t30405, + t29509, + t29387, + t30244, + t30404, + t30403, + t28818, + t30402, + t29554, + t29206, + t28566, + t30401, + t29998, + t28558, + t30102, + t30400, + t30399, + t30398, + t30397, + t28459, + t30318, + t30094, + t30396, + t30395, + t28177, + t30394, + t29458, + t30393, + t29202, + t29003, + t29614, + t30392, + t29675, + t30255, + t30313, + t27999, + t30391, + t30390, + t29581, + t29977, + t30136, + t30389, + t29486, + t30388, + t30387, + t29565, + t30386, + t28685, + t29461, + t30300, + t30385, + t29522, + t30159, + t30384, + t29319, + t30383, + t30382, + t30381, + t30214, + t28866, + t28674, + t29524, + t30336, + t29991, + t30380, + t30230, + t29389, + t30357, + t29279, + t30379, + t30262, + t28422, + t30378, + t30377, + t30131, + t30376, + t30375, + t29103, + t30374, + t29050, + t29475, + t30155, + t29662, + t30322, + t30373, + t28999, + t29247, + t30372, + t30371, + t30370, + t29044, + t28982, + t29536, + t29931, + t30369, + t30153, + t30368, + t30274, + t30052, + t29204, + t30367, + t29334, + t30289, + t28391, + t30366, + t29024, + t30365, + t29641, + t28541, + t30364, + t30363, + t30043, + t30362, + t29436, + t30354, + t30353, + t30352, + t30351, + t30344, + t30343, + t30331, + t30326, + t29468, + t30323, + t30321, + t30319, + t30316, + t30307, + t29593, + t30306, + t29020, + t28805, + t29177, + t28754, + t30285, + t29428, + t30282, + t29217, + t30281, + t29471, + t30278, + t30270, + t28781, + t30276, + t29990, + t30275, + t28237, + t30240, + t29953, + t30272, + t30141, + t29200, + t28519, + t30223, + t29148, + t30269, + t30265, + t30264, + t30263, + t30259, + t28986, + t29016, + t30257, + t30253, + t29437, + t30248, + t30247, + t29140, + t30246, + t29231, + t30243, + t29343, + t29355, + t30239, + t30237, + t29587, + t28501, + t29650, + t30236, + t30235, + t30234, + t30232, + t30039, + t28354, + t29416, + t27995, + t30231, + t30229, + t30228, + t29191, + t30227, + t30226, + t30225, + t29955, + t30224, + t30222, + t30221, + t30220, + t30218, + t30217, + t28242, + t30215, + t30212, + t29930, + t30211, + t30209, + t30208, + t30206, + t30205, + t30204, + t30203, + t30201, + t30075, + t30198, + t30197, + t30196, + t29114, + t29178, + t30195, + t29164, + t28767, + t30192, + t30191, + t30185, + t30184, + t30183, + t30182, + t30179, + t29347, + t28404, + t30177, + t30175, + t29354, + t30173, + t29667, + t29358, + t29362, + t29117, + t30168, + t30167, + t30166, + t29365, + t29371, + t29417, + t29289, + t30162, + t28562, + t30158, + t30157, + t30156, + t29049, + t30152, + t28983, + t28313, + t30150, + t28551, + t30149, + t30128, + t30143, + t30142, + t30134, + t30133, + t30132, + t30130, + t29007, + t28552, + t28977, + t30126, + t30125, + t30122, + t30119, + t30117, + t30116, + t29598, + t30115, + t30113, + t28060, + t30111, + t30109, + t30107, + t30106, + t30104, + t30099, + t30100, + t29221, + t30098, + t30092, + t28570, + t29015, + t30091, + t30086, + t30083, + t30080, + t29684, + t30078, + t30077, + t29188, + t30074, + t29548, + t30073, + t28807, + t30071, + t30070, + t30069, + t30062, + t30053, + t30050, + t30047, + t30046, + t30045, + t29444, + t30044, + t30040, + t30037, + t29570, + t30036, + t29941, + t28172, + t30034, + t30033, + t29563, + t30028, + t30026, + t30022, + t30021, + t30019, + t29377, + t30018, + t30015, + t30014, + t29359, + t29357, + t30011, + t30005, + t30003, + t30002, + t29004, + t29659, + t29989, + t29988, + t29987, + t29986, + t29985, + t29983, + t29980, + t29082, + t29975, + t29021, + t29647, + t29972, + t28990, + t28814, + t28779, + t28786, + t29957, + t28755, + t29951, + t29950, + t29949, + t29090, + t29924, + t29920, + t29919, + t29915, + t29914, + t29282, + t29909, + t28306, + t29908, + t29907, + t29906, + t29905, + t29904, + t28923, + t29903, + t29168, + t29902, + t29901, + t29900, + t29899, + t29898, + t29159, + t29142, + t29897, + t29074, + t29896, + t29895, + t29028, + t29288, + t29287, + t29893, + t28989, + t29157, + t29892, + t29170, + t29891, + t29890, + t28906, + t28857, + t29889, + t29888, + t28730, + t29292, + t29886, + t29884, + t29883, + t29882, + t27941, + t29881, + t27933, + t29880, + t28400, + t29879, + t29878, + t29877, + t29875, + t28592, + t29874, + t29873, + t28179, + t29872, + t29153, + t29616, + t29870, + t29041, + t29869, + t29111, + t29868, + t29866, + t29864, + t29863, + t28675, + t28666, + t29862, + t29861, + t29860, + t28904, + t29859, + t29858, + t29857, + t29856, + t29853, + t29852, + t28760, + t29851, + t29553, + t29850, + t29848, + t29846, + t29137, + t29845, + t29313, + t29345, + t29844, + t29275, + t29843, + t29274, + t29842, + t29841, + t29840, + t28725, + t29839, + t29837, + t28870, + t29294, + t29835, + t29171, + t29834, + t29833, + t29213, + t29832, + t29830, + t29829, + t29828, + t29827, + t29585, + t29826, + t29119, + t29099, + t29102, + t29093, + t28018, + t29824, + t29823, + t29822, + t29820, + t29817, + t28860, + t29815, + t28301, + t28304, + t29814, + t29813, + t29812, + t29811, + t29810, + t29809, + t29808, + t28505, + t29807, + t28443, + t29806, + t28166, + t29805, + t28153, + t29804, + t28006, + t29803, + t28048, + t28385, + t29802, + t28094, + t29801, + t29800, + t29799, + t28178, + t29798, + t27944, + t29797, + t29796, + t29795, + t29794, + t28414, + t29793, + t29792, + t29791, + t29790, + t28035, + t29789, + t29788, + t29787, + t29786, + t29785, + t29784, + t29703, + t29376, + t29783, + t29782, + t29781, + t28025, + t29780, + t29779, + t29778, + t29777, + t29776, + t29775, + t29774, + t28345, + t29773, + t27983, + t29772, + t29488, + t29771, + t28114, + t29770, + t29769, + t29768, + t28300, + t29767, + t29766, + t29765, + t29764, + t29763, + t29395, + t29762, + t29761, + t28238, + t29760, + t29759, + t29172, + t29529, + t28112, + t29758, + t29757, + t29756, + t28208, + t29755, + t29754, + t29753, + t29752, + t29751, + t29750, + t29749, + t29748, + t29747, + t29746, + t29745, + t29744, + t29743, + t29742, + t29741, + t28670, + t29740, + t29739, + t28630, + t29738, + t29737, + t29736, + t29735, + t29734, + t29733, + t29732, + t29731, + t29730, + t28420, + t29729, + t29728, + t29511, + t29543, + t29727, + t29677, + t29390, + t29726, + t29725, + t29724, + t28247, + t29723, + t29722, + t28575, + t29721, + t29720, + t29719, + t29718, + t29711, + t29709, + t29704, + t29701, + t29700, + t29694, + t29692, + t29688, + t29683, + t29682, + t29681, + t29680, + t29679, + t29665, + t29657, + t29637, + t29627, + t29620, + t29618, + t29608, + t29602, + t29597, + t29588, + t29555, + t29551, + t29550, + t29546, + t29541, + t29537, + t29525, + t29521, + t29513, + t29500, + t29497, + t29490, + t29478, + t29473, + t29472, + t29470, + t29465, + t29463, + t29462, + t29441, + t29433, + t29421, + t29418, + t29413, + t29411, + t29405, + t29404, + t29394, + t29393, + t29391, + t29386, + t29383, + t29378, + t29375, + t29336, + t29304, + t29284, + t29280, + t29277, + t29272, + t29269, + t29268, + t29265, + t29261, + t29260, + t29244, + t29240, + t29233, + t29224, + t29223, + t29219, + t29216, + t29215, + t29212, + t29210, + t29208, + t29207, + t29201, + t29198, + t29196, + t29186, + t29185, + t29181, + t29174, + t29167, + t29166, + t29165, + t29146, + t29143, + t29132, + t29130, + t29125, + t29120, + t29118, + t29116, + t29113, + t29110, + t29101, + t29097, + t29095, + t29087, + t29083, + t29079, + t29078, + t29067, + t29066, + t29056, + t29054, + t29051, + t29047, + t29046, + t29035, + t29033, + t29032, + t29029, + t29014, + t29008, + t29000, + t28996, + t28995, + t28988, + t28980, + t28975, + t28974, + t28973, + t28967, + t28964, + t28961, + t28960, + t28957, + t28955, + t28952, + t28951, + t28945, + t28943, + t28942, + t28939, + t28933, + t28932, + t28929, + t28928, + t28926, + t28921, + t28916, + t28915, + t28912, + t28911, + t28910, + t28907, + t28901, + t28900, + t28899, + t28898, + t28897, + t28893, + t28892, + t28891, + t28877, + t28872, + t28871, + t28867, + t28862, + t28861, + t28859, + t28854, + t28848, + t28845, + t28842, + t28839, + t28837, + t28832, + t28831, + t28825, + t28824, + t28823, + t28822, + t28817, + t28812, + t28804, + t28802, + t28795, + t28792, + t28785, + t28782, + t28778, + t28774, + t28769, + t28765, + t28764, + t28758, + t28752, + t28750, + t28747, + t28746, + t28742, + t28741, + t28740, + t28739, + t28738, + t28737, + t28734, + t28732, + t28731, + t28726, + t28724, + t28723, + t28722, + t28721, + t28720, + t28719, + t28718, + t28717, + t28704, + t28694, + t28679, + t28677, + t28672, + t28669, + t28663, + t28655, + t28654, + t28650, + t28648, + t28647, + t28645, + t28644, + t28643, + t28629, + t28627, + t28624, + t28623, + t28622, + t28621, + t28619, + t28618, + t28616, + t28615, + t28614, + t28609, + t28607, + t28602, + t28600, + t28598, + t28597, + t28593, + t28588, + t28587, + t28578, + t28577, + t28571, + t28564, + t28556, + t28554, + t28549, + t28547, + t28542, + t28522, + t28517, + t28509, + t28504, + t28497, + t28493, + t28489, + t28487, + t28479, + t28475, + t28473, + t28462, + t28452, + t28436, + t28433, + t28430, + t28429, + t28426, + t28421, + t28418, + t28413, + t28408, + t28405, + t28399, + t28398, + t28392, + t28390, + t28373, + t28358, + t28351, + t28340, + t28338, + t28336, + t28334, + t28331, + t28327, + t28326, + t28312, + t28309, + t28299, + t28296, + t28295, + t28293, + t28283, + t28281, + t28280, + t28279, + t28278, + t28277, + t28271, + t28264, + t28254, + t28253, + t28245, + t28230, + t28229, + t28212, + t28203, + t28193, + t28183, + t28173, + t28169, + t28164, + t28158, + t28155, + t28154, + t28134, + t28126, + t28122, + t28113, + t28109, + t28107, + t28105, + t28089, + t28088, + t28074, + t28066, + t28054, + t28049, + t28047, + t28045, + t28044, + t28041, + t28040, + t28039, + t28029, + t28014, + t27996, + t27988, + t27976, + t27965, + t27948, + t27942, + t27936; + t29714 = x*x; + t29715 = t29714*x; + t30347 = t29715+x; + t30360 = y*z; + t30654 = t30347*t30360; + t29547 = RATIONAL(-1.0,18.0); + t29583 = RATIONAL(-2.0,27.0); + t29342 = t29583*t29715; + t30652 = t29342+t29547; + t29494 = RATIONAL(1.0,216.0); + t29298 = t29494*t29715; + t29716 = z*z; + t29713 = y*y; + t29712 = t29713*t29716; + t29816 = RATIONAL(-1.0,192.0)*t29712; + t30651 = t29714*t29816+t29298*t30360; + t29518 = RATIONAL(49.0,72.0); + t30063 = t29713*t29518; + t28793 = t29715*t30063; + t29401 = RATIONAL(245.0,72.0); + t30267 = t29715*t29713; + t29999 = z*t30267; + t30650 = t28793+t29401*t29999; + t29567 = RATIONAL(7.0,24.0); + t29946 = x*t29712; + t28555 = t29567*t29946; + t30342 = x*t29713; + t30297 = z*t30342; + t29628 = RATIONAL(-7.0,18.0); + t30649 = t28555+t29628*t30297; + t29669 = RATIONAL(4.0,9.0); + t30174 = t29669*t29715; + t29254 = t29716*t30174; + t29678 = RATIONAL(-5.0,9.0); + t30081 = t29716*t29678; + t30648 = t29254+t29714*t30081; + t29836 = RATIONAL(1.0,192.0)*t29712; + t28182 = x*t29836; + t30346 = z*t29713; + t29530 = RATIONAL(-1.0,144.0); + t29929 = t29530*t30346; + t30647 = x*t29929+t28182; + t30112 = RATIONAL(5.0,48.0)*t29714; + t29121 = y*t30112; + t29539 = RATIONAL(-7.0,288.0); + t28104 = t29539*t29999; + t30646 = t29716*t29121+t28104; + t29613 = RATIONAL(1.0,36.0); + t30340 = x*t29613; + t29187 = t29713*t30340; + t30361 = x*z; + t29693 = RATIONAL(1.0,3.0); + t29363 = t29693*t29713; + t30645 = t29187+t29363*t30361; + t28055 = z*t28793; + t29689 = RATIONAL(-1.0,3.0); + t29353 = t29689*t29716; + t29981 = y*t29353; + t30644 = t29714*t29981+t28055; + t30303 = t29716*y; + t30296 = x*t30303; + t30320 = x*t29716; + t29710 = RATIONAL(7.0,9.0); + t29239 = t29710*t30320; + t29584 = RATIONAL(35.0,9.0); + t30643 = t29584*t30296+t29239; + t29519 = RATIONAL(35.0,96.0); + t29621 = RATIONAL(-7.0,72.0); + t30145 = t29621*t29713; + t29175 = t29715*t30145; + t30642 = t29519*t29999+t29175; + t29489 = RATIONAL(35.0,12.0); + t29935 = t29489*t30346; + t29672 = RATIONAL(-7.0,9.0); + t30054 = t29672*t29713; + t29267 = x*t30054; + t30641 = x*t29935+t29267; + t29978 = t29489*t30303; + t30027 = t29716*t29672; + t29264 = x*t30027; + t30640 = x*t29978+t29264; + t29535 = RATIONAL(1.0,288.0); + t29528 = RATIONAL(-1.0,576.0); + t30079 = t29716*t29528; + t28917 = x*t30079; + t30161 = t29716*t29714; + t30639 = t29535*t30161+t28917; + t30087 = t29547*t29714; + t28979 = y*t30087; + t29887 = t29715*t29712; + t29420 = RATIONAL(7.0,192.0); + t28003 = t29420*t29887; + t30638 = t28003+z*t28979; + t29633 = RATIONAL(-7.0,36.0); + t30029 = t29633*t29715; + t29075 = t29713*t30029; + t29695 = RATIONAL(-7.0,3.0); + t30637 = t29075+t29695*t29999; + t29424 = RATIONAL(-7.0,144.0); + t30013 = t29713*t29424; + t28962 = t29714*t30013; + t29640 = RATIONAL(1.0,48.0); + t29328 = t29640*t29713; + t30636 = t28962+t29328; + t30066 = t29613*t29715; + t29023 = t29713*t30066; + t29668 = RATIONAL(-1.0,9.0); + t30090 = t29713*t29668; + t29965 = z*t30090; + t30635 = t29715*t29965+t29023; + t29894 = t29713*t30161; + t28320 = RATIONAL(-32.0,3.0)*t29946; + t30634 = RATIONAL(20.0,1.0)*t29894+t28320; + t29591 = RATIONAL(-14.0,9.0); + t30051 = t29591*t29715; + t29048 = t29713*t30051; + t29696 = RATIONAL(4.0,3.0); + t30006 = t29714*t29696; + t30633 = t29713*t30006+t29048; + t29651 = RATIONAL(5.0,12.0); + t29238 = t29668*t30320; + t30632 = t29651*t30296+t29238; + t29499 = RATIONAL(-1.0,108.0); + t29302 = t29499*t29715; + t30631 = t29302+RATIONAL(5.0,432.0)*t29714; + t29560 = RATIONAL(1.0,18.0); + t30329 = z*t29560; + t29916 = t29713*t30329; + t28419 = t29715*t29916; + t29594 = RATIONAL(-5.0,72.0); + t29350 = t29594*t29714; + t29923 = y*t29350; + t30630 = t29716*t29923+t28419; + t29619 = RATIONAL(1.0,12.0); + t30108 = t29716*t29619; + t29865 = t29713*t30108; + t28416 = t29715*t29865; + t29658 = RATIONAL(-7.0,27.0); + t30057 = t29714*t29658; + t29161 = z*t30057; + t30629 = y*t29161+t28416; + t29645 = RATIONAL(-4.0,27.0); + t30334 = x*t29645; + t29705 = RATIONAL(1.0,9.0); + t30144 = t29716*t29705; + t29262 = x*t30144; + t30628 = t29262+z*t30334; + t30001 = y*t30161; + t29646 = RATIONAL(7.0,72.0); + t30189 = t29715*t29646; + t29039 = t29713*t30189; + t30627 = t29668*t30001+z*t29039; + t29577 = RATIONAL(-1.0,12.0); + t30023 = t29577*t29716; + t29821 = t29713*t30023; + t28515 = x*t29821; + t29690 = RATIONAL(1.0,6.0); + t29360 = t29690*t29716; + t29232 = t29714*t29360; + t30626 = t28515+t29713*t29232; + t30170 = t29714*t29713; + t29062 = t29633*t30170; + t30625 = t29062+t29039; + t28324 = z*t29048; + t29592 = RATIONAL(28.0,9.0); + t30624 = t28324+t29592*t30001; + t29956 = t29560*t30303; + t28483 = t29715*t29956; + t29918 = t29594*t30346; + t30623 = t28483+t29714*t29918; + t29532 = RATIONAL(7.0,576.0); + t30025 = t29715*t29532; + t28925 = t29713*t30025; + t29542 = RATIONAL(-5.0,192.0); + t30622 = t28925+t29542*t30170; + t29605 = RATIONAL(5.0,36.0); + t30266 = t29714*t29605; + t29058 = y*t30266; + t29876 = RATIONAL(-7.0,192.0)*t29712; + t28188 = t29715*t29876; + t30621 = z*t29058+t28188; + t29431 = RATIONAL(-35.0,72.0); + t29928 = t29431*t30346; + t30620 = t29715*t29928+t29175; + t29708 = RATIONAL(2.0,9.0); + t30064 = t29715*t29708; + t29220 = t29713*t30064; + t29590 = RATIONAL(10.0,9.0); + t29947 = t29590*t30346; + t30619 = t29220+t29715*t29947; + t30114 = t29716*t29613; + t29006 = x*t30114; + t30618 = t29006+t29232; + t29574 = RATIONAL(7.0,12.0); + t30180 = t29574*t29716; + t29871 = t29713*t30180; + t28543 = t29715*t29871; + t29456 = RATIONAL(-25.0,18.0); + t30335 = y*t29714; + t29961 = t29456*t30335; + t28218 = z*t29961; + t30617 = t28543+t28218; + t29996 = t29715*t30303; + t29610 = RATIONAL(-98.0,9.0); + t28249 = t29610*t29996; + t29995 = z*t30170; + t29632 = RATIONAL(28.0,3.0); + t30616 = t28249+t29632*t29995; + t28260 = t29610*t29999; + t30615 = t29632*t30001+t28260; + t30614 = t29710*t29999+t29075; + t29108 = t29646*t30342; + t30310 = x*t29547; + t30613 = t29108+y*t30310; + t29676 = RATIONAL(-2.0,9.0); + t30186 = t29715*t29676; + t29255 = t29716*t30186; + t29636 = RATIONAL(5.0,18.0); + t30061 = t29714*t29636; + t30612 = t29255+t29716*t30061; + t29561 = RATIONAL(-7.0,48.0); + t29333 = t29561*t29716; + t29825 = t29714*t29333; + t30611 = RATIONAL(1.0,16.0)*t29712+t29713*t29825; + t30008 = t29705*t29715; + t29227 = z*t30008; + t28708 = t29713*t29227; + t29510 = RATIONAL(-7.0,216.0); + t30121 = t29714*t29510; + t30610 = t28708+y*t30121; + t29630 = RATIONAL(1.0,24.0); + t28567 = t29630*t29946; + t30241 = t29547*t29713; + t28569 = t30241*t30361; + t30609 = t28567+t28569; + t29673 = RATIONAL(-8.0,9.0); + t30219 = t29673*t29715; + t29250 = y*t30219; + t29423 = RATIONAL(35.0,18.0); + t30089 = t29714*t29423; + t28811 = t29713*t30089; + t30608 = t29716*t29250+z*t28811; + t30256 = t29715*RATIONAL(-49.0,576.0); + t28716 = t29713*t30256; + t29526 = RATIONAL(7.0,144.0); + t30273 = t29715*t29526; + t30607 = y*t30273+t28716; + t28744 = t29716*t30256; + t30606 = t28744+z*t30273; + t29572 = RATIONAL(-7.0,12.0); + t30059 = t29572*t29713; + t29855 = t29716*t30059; + t28411 = x*t29855; + t30605 = t28411+RATIONAL(-7.0,2.0)*t29894; + t29643 = RATIONAL(-1.0,72.0); + t30164 = t29643*t29715; + t29138 = t29716*t30164; + t29127 = t29714*t30114; + t30604 = t29138+t29127; + t29586 = RATIONAL(-5.0,12.0); + t30138 = t29713*t29586; + t30314 = x*t29705; + t29242 = t29713*t30314; + t30603 = t30138*t30361+t29242; + t30176 = t29716*t29621; + t28969 = x*t30176; + t30602 = t28969+x*t30329; + t29485 = RATIONAL(-7.0,576.0); + t30049 = t29485*t29713; + t28834 = t29715*t30049; + t29483 = RATIONAL(7.0,288.0); + t30105 = t29483*t29714; + t30601 = t28834+t29713*t30105; + t29606 = RATIONAL(-5.0,96.0); + t29926 = t29606*t30303; + t30120 = t29483*t29713; + t29952 = z*t30120; + t28011 = t29715*t29952; + t30600 = t29714*t29926+t28011; + t29655 = RATIONAL(98.0,9.0); + t28378 = t29655*t29999; + t29544 = RATIONAL(-70.0,3.0); + t30599 = t28378+t29544*t30001; + t29504 = RATIONAL(1.0,576.0); + t30261 = t29716*t29504; + t28850 = x*t30261; + t29476 = RATIONAL(-1.0,432.0); + t30350 = t29476*x; + t30598 = z*t30350+t28850; + t30194 = t29716*t29485; + t28840 = t29715*t30194; + t30123 = t29716*t29526; + t29936 = y*t30123; + t30597 = t28840+t29715*t29936; + t29631 = RATIONAL(5.0,27.0); + t30356 = x*t29631; + t30190 = t29676*t29716; + t29259 = x*t30190; + t30596 = z*t30356+t29259; + t29503 = RATIONAL(-49.0,12.0); + t28135 = t29503*t29887; + t29702 = RATIONAL(5.0,3.0); + t30311 = t29702*z; + t29962 = t29714*t30311; + t30595 = y*t29962+t28135; + t28222 = t29420*t29946; + t29997 = t29606*t30346; + t30594 = t28222+x*t29997; + t29847 = RATIONAL(-49.0,192.0)*t29712; + t27967 = x*t29847; + t29559 = RATIONAL(7.0,48.0); + t29348 = t29559*t29713; + t30593 = t27967+t29348*t30361; + t29523 = RATIONAL(1.0,144.0); + t30333 = z*t29523; + t29912 = t29713*t30333; + t28031 = x*t29816; + t30592 = x*t29912+t28031; + t29691 = RATIONAL(-4.0,9.0); + t30085 = t29691*t29713; + t29236 = t29715*t30085; + t29670 = RATIONAL(5.0,9.0); + t30010 = t29713*t29670; + t30591 = t29236+t29714*t30010; + t30249 = t29483*t29716; + t29979 = y*t30249; + t28156 = t29715*t29979; + t30590 = t28156+t29606*t29995; + t29514 = RATIONAL(-49.0,48.0); + t30589 = RATIONAL(7.0,16.0)*t29712+t29514*t29894; + t30009 = t29715*t29628; + t28965 = z*t30009; + t28528 = t29713*t28965; + t29479 = RATIONAL(35.0,24.0); + t28885 = t29479*t30161; + t30588 = t28528+y*t28885; + t28081 = x*t29876; + t29966 = t29526*t30346; + t30587 = x*t29966+t28081; + t29575 = RATIONAL(14.0,9.0); + t30154 = t29716*t29575; + t29094 = t29715*t30154; + t29480 = RATIONAL(-35.0,18.0); + t30058 = t29714*t29480; + t28775 = t29716*t30058; + t30586 = t29094+t28775; + t28214 = t29714*t29876; + t29624 = RATIONAL(1.0,72.0); + t30124 = t29715*t29624; + t30585 = t30124*t30360+t28214; + t29959 = y*t30144; + t28709 = t29715*t29959; + t30584 = z*t30121+t28709; + t30188 = t29624*t29713; + t29205 = x*t30188; + t29571 = RATIONAL(-1.0,54.0); + t30348 = t29571*x; + t30583 = t29205+y*t30348; + t28273 = t29714*t29821; + t29512 = RATIONAL(7.0,108.0); + t30103 = t29715*t29512; + t28753 = y*t30103; + t28043 = z*t28753; + t30582 = t28273+t28043; + t29671 = RATIONAL(-5.0,6.0); + t29922 = t29671*t30346; + t30581 = t29220+t29715*t29922; + t30024 = t29643*t29713; + t29070 = x*t30024; + t29609 = RATIONAL(1.0,54.0); + t30304 = t29609*x; + t30580 = y*t30304+t29070; + t29615 = RATIONAL(16.0,9.0); + t29197 = t29615*t30342; + t29623 = RATIONAL(-10.0,3.0); + t30110 = t29714*t29623; + t30579 = t29713*t30110+t29197; + t28759 = t29479*t30170; + t30020 = t29716*t29628; + t29939 = y*t30020; + t28387 = t29715*t29939; + t30578 = t28387+z*t28759; + t30294 = z*t30335; + t27993 = t29715*t29847; + t30577 = t29619*t30294+t27993; + t29426 = RATIONAL(224.0,9.0); + t29534 = RATIONAL(-280.0,9.0); + t30576 = t29534*t29995+t29426*t29996; + t30160 = t29716*t29518; + t28800 = t29715*t30160; + t30575 = t28800+t29401*t29996; + t29674 = RATIONAL(7.0,6.0); + t30574 = t28411+t29674*t29894; + t29180 = t29651*t30360; + t29306 = t29494*x; + t30573 = t29714*t29180+t29306; + t28801 = t29532*t30342; + t30339 = x*t29530; + t30572 = y*t30339+t28801; + t30030 = t29696*t29716; + t29831 = t29713*t30030; + t28620 = x*t29831; + t29556 = RATIONAL(-10.0,9.0); + t29992 = t29556*t30303; + t30571 = t28620+x*t29992; + t28486 = x*t29956; + t29649 = RATIONAL(-1.0,24.0); + t28495 = t29649*t29946; + t30570 = t28486+t28495; + t30569 = t28483+z*t29062; + t29545 = RATIONAL(40.0,9.0); + t30088 = t29714*t29545; + t30093 = t29715*RATIONAL(-32.0,9.0); + t29176 = t29716*t30093; + t30568 = t29716*t30088+t29176; + t28813 = t29716*t30089; + t29960 = t29673*t30346; + t30567 = y*t28813+t29715*t29960; + t29642 = RATIONAL(-5.0,36.0); + t30324 = x*t29642; + t30566 = t29108+y*t30324; + t29450 = RATIONAL(-49.0,18.0); + t29372 = t29674*t29716; + t30565 = t29450*t30161+t29372; + t30564 = t29534*t30001+t29426*t29999; + t29432 = RATIONAL(5.0,144.0); + t30095 = t29714*t29432; + t28878 = z*t30095; + t30563 = y*t28878+t28188; + t28415 = RATIONAL(-14.0,3.0)*t29946; + t30562 = t28415+RATIONAL(35.0,4.0)*t29894; + t29629 = RATIONAL(5.0,72.0); + t30327 = y*t29629; + t29938 = t29715*t30327; + t30118 = t29624*t29716; + t29193 = t29715*t30118; + t30561 = t29716*t29938+t29193; + t30245 = t29715*t29642; + t29638 = RATIONAL(1.0,27.0); + t29339 = t29638*t29715; + t30560 = z*t30245+t29339; + t28149 = RATIONAL(-49.0,24.0)*t29946; + t30559 = RATIONAL(245.0,64.0)*t29894+t28149; + t30558 = t28135+RATIONAL(125.0,12.0)*t30294; + t29580 = RATIONAL(7.0,18.0); + t30127 = t29715*t29580; + t29136 = z*t30127; + t28472 = t29713*t29136; + t29001 = t29572*t30161; + t30557 = y*t29001+t28472; + t29495 = RATIONAL(49.0,48.0); + t30556 = t29495*t29894+RATIONAL(-7.0,16.0)*t29712; + t29603 = RATIONAL(-5.0,54.0); + t29337 = t29603*t29714; + t29635 = RATIONAL(2.0,27.0); + t29335 = t29635*t29715; + t30555 = t29337+t29335; + t29449 = RATIONAL(5.0,216.0); + t30330 = x*t29449; + t29557 = RATIONAL(-1.0,36.0); + t30147 = t29713*t29557; + t29126 = x*t30147; + t30554 = y*t30330+t29126; + t29663 = RATIONAL(-5.0,27.0); + t30312 = x*t29663; + t30325 = x*t29708; + t29271 = t29713*t30325; + t30553 = y*t30312+t29271; + t29325 = t29658*t29715; + t29442 = RATIONAL(35.0,36.0); + t30017 = t29715*t29442; + t30552 = t29325+z*t30017; + t29687 = RATIONAL(-1.0,2.0); + t30551 = t29687*t29894+t28515; + t29686 = RATIONAL(2.0,3.0); + t28641 = t29686*t29946; + t30084 = t29713*t29678; + t30550 = t30084*t30361+t28641; + t29932 = t29580*t30303; + t28366 = t29715*t29932; + t28994 = t29714*t30059; + t30549 = t28366+z*t28994; + t30548 = t29714*t30020+t29360; + t28525 = x*t29865; + t30547 = t28525+y*t29238; + t29439 = RATIONAL(1.0,108.0); + t29300 = t29439*t29715; + t30546 = t29227+t29300; + t30031 = t29716*t29708; + t29251 = t29715*t30031; + t30545 = t29590*t29996+t29251; + t30544 = t29023+t29693*t29999; + t29459 = RATIONAL(49.0,12.0); + t28127 = t29459*t29887; + t30543 = t29695*t30294+t28127; + t29246 = t29713*t30174; + t30542 = t29714*t30084+t29246; + t29507 = RATIONAL(-1.0,216.0); + t29296 = t29507*t29715; + t29295 = t29439*t29714; + t30541 = t29296+t29295; + t29685 = RATIONAL(-4.0,3.0); + t30082 = t29716*t29685; + t29849 = t29713*t30082; + t28646 = t29715*t29849; + t29496 = RATIONAL(25.0,27.0); + t30540 = t28646+t29496*t30294; + t29057 = t29716*t30051; + t28332 = y*t29057; + t30539 = t29714*t29947+t28332; + t30097 = t29716*t29633; + t29141 = t29714*t30097; + t30538 = y*t29141+t28419; + t28384 = t29713*t29001; + t28751 = y*t30017; + t30537 = t28384+z*t28751; + t29396 = RATIONAL(49.0,144.0); + t30068 = t29714*t29396; + t29344 = t29561*t29713; + t30536 = t29713*t30068+t29344; + t28946 = t29532*t30320; + t30535 = t28946+z*t30339; + t30042 = t29716*t29646; + t29107 = t29715*t30042; + t30534 = y*t29107+t29714*t29965; + t30038 = t29716*t29691; + t29249 = t29715*t30038; + t30533 = t29670*t30161+t29249; + t30305 = x*t29643; + t29068 = t29716*t30305; + t30532 = t29068+z*t30304; + t29443 = RATIONAL(-7.0,432.0); + t30531 = t29523+t29443*t29714; + t29369 = t29690*t29713; + t30530 = t29628*t30170+t29369; + t30341 = x*t29605; + t30529 = t28969+z*t30341; + t29234 = x*t30031; + t30528 = t29234+z*t30312; + t29455 = RATIONAL(-49.0,72.0); + t30242 = t29455*t29715; + t28880 = t29713*t30242; + t29406 = RATIONAL(245.0,96.0); + t30527 = t29406*t29999+t28880; + t29706 = RATIONAL(5.0,6.0); + t30260 = t29706*t29716; + t29974 = y*t30260; + t28052 = z*t28880; + t30526 = t29714*t29974+t28052; + t29399 = RATIONAL(1.0,1728.0); + t29293 = t29399*t29715; + t29498 = RATIONAL(-1.0,864.0); + t30525 = t29498*t29714+t29293; + t29214 = t29574*t30161; + t28513 = t29713*t29214; + t30524 = t28513+y*t28965; + t30523 = t29592*t29995+t28332; + t29248 = t29710*t30342; + t29481 = RATIONAL(-35.0,24.0); + t28883 = t29481*t30170; + t30522 = t29248+t28883; + t30000 = t29590*t30303; + t30521 = t28324+t29714*t30000; + t29451 = RATIONAL(-25.0,24.0); + t30349 = z*t29714; + t29945 = t29451*t30349; + t29351 = t29638*x; + t30520 = y*t29945+t29351; + t27932 = RATIONAL(343.0,192.0)*t29887; + t30519 = t29514*t29999+t27932; + t30140 = t29676*t29713; + t29281 = x*t30140; + t30518 = t29281+y*t30356; + t28938 = t29716*t30025; + t30193 = t29715*t29530; + t30517 = z*t30193+t28938; + t29699 = RATIONAL(-7.0,6.0); + t29366 = t29699*t29716; + t28131 = RATIONAL(49.0,24.0)*t29946; + t30359 = x*y; + t30516 = t29366*t30359+t28131; + t30004 = t29713*t29504; + t28853 = t29715*t30004; + t30252 = t29476*t29715; + t30515 = y*t30252+t28853; + t30514 = RATIONAL(49.0,16.0)*t29712+RATIONAL(-343.0,48.0)*t29894; + t30513 = RATIONAL(-175.0,12.0)*t30294+t28127; + t29984 = t29591*t30303; + t30202 = t29575*t29713; + t29089 = t29715*t30202; + t28317 = z*t29089; + t30512 = t29714*t29984+t28317; + t30076 = t29716*t29424; + t28808 = t29714*t30076; + t29327 = t29640*t29716; + t30511 = t28808+t29327; + t30268 = t29706*t29713; + t29925 = z*t30268; + t28882 = t29716*t30242; + t28205 = y*t28882; + t30510 = t29714*t29925+t28205; + t30509 = t28925+y*t30193; + t28514 = y*t29094; + t29969 = t29591*t30346; + t30508 = t29714*t29969+t28514; + t28922 = t29715*t30079; + t29562 = RATIONAL(-1.0,48.0); + t29349 = t29562*t29716; + t29958 = y*t29349; + t30507 = t28922+t29715*t29958; + t29644 = RATIONAL(5.0,54.0); + t30506 = t29342+t29644*t29714; + t30505 = RATIONAL(-50.0,27.0)*t30294+t29351; + t29558 = RATIONAL(7.0,27.0); + t29341 = t29558*t29715; + t30504 = t29341+t29676*t29714; + t30355 = z*t29715; + t30301 = y*t30355; + t29415 = RATIONAL(-35.0,144.0); + t30358 = z*t30359; + t29660 = RATIONAL(-5.0,18.0); + t28341 = t29660*t30358; + t30503 = t28341+t29415*t30301; + t29993 = t29523*t30303; + t29474 = RATIONAL(-1.0,288.0); + t29944 = t29474*t30346; + t30502 = t29715*t29944+t29714*t29993; + t29361 = t29689*t29713; + t29954 = z*t29361; + t28026 = y*t28800; + t30501 = t29714*t29954+t28026; + t28639 = RATIONAL(7.0,2.0)*t29894; + t30500 = t28639+t29442*t30358+RATIONAL(-245.0,36.0)*t30301; + t29576 = RATIONAL(-35.0,6.0); + t28431 = t29576*t29999; + t29382 = RATIONAL(245.0,24.0); + t30041 = t29714*t29584; + t30499 = y*t30041+t28431+t29382*t30001; + t29540 = RATIONAL(35.0,72.0); + t30096 = t29714*t29540; + t29373 = RATIONAL(-245.0,24.0); + t29707 = RATIONAL(7.0,3.0); + t28653 = t29707*t29999; + t30498 = y*t30096+t28653+t29373*t30001; + t30032 = t29715*t29668; + t29266 = y*t30032; + t28579 = t29716*t29266; + t29573 = RATIONAL(7.0,36.0); + t30055 = t29573*t29713; + t29139 = t29714*t30055; + t30060 = t29714*t29512; + t30497 = t28579+(t30060+t29139)*z; + t30146 = t29714*t29642; + t28984 = z*t30146; + t29973 = t29519*t30303; + t28223 = t29715*t29973; + t29457 = RATIONAL(-35.0,96.0); + t29940 = t29457*t30346; + t30496 = t28984+t29714*t29940+t28223; + t29002 = y*t30127; + t28594 = t29699*t29894; + t30287 = t29580*t30360; + t30495 = t28594+x*t30287+z*t29002; + t29312 = t29499*t29714; + t30494 = t29312+t29603*t30654; + t29967 = t29540*t30303; + t28206 = t29715*t29967; + t29162 = z*t30266; + t30493 = t29714*t29922+t28206+t29162; + t28480 = t29715*t29992; + t29994 = z*t30202; + t30492 = t29714*t29994+t28480+t29161; + t29595 = RATIONAL(-40.0,3.0); + t29379 = RATIONAL(245.0,18.0); + t30129 = t29714*RATIONAL(140.0,27.0); + t30491 = z*t30129+t29595*t29996+t29379*t29995; + t29446 = RATIONAL(-35.0,54.0); + t30016 = t29714*t29446; + t30490 = t29615*t29999+(t30016+t28775)*y; + t29697 = RATIONAL(-1.0,6.0); + t29367 = t29697*t29716; + t29225 = t29714*t29367; + t28696 = t29713*t29225; + t29656 = RATIONAL(7.0,54.0); + t30187 = t29715*t29656; + t29018 = z*t30187; + t30489 = t28696+y*t29018+t29656*t30358; + t30172 = t29714*t29609; + t28841 = t29714*t30123; + t30488 = t29715*t29997+(t28841+t30172)*y; + t28634 = t29695*t29996; + t30171 = t29714*t29633; + t30487 = t29459*t29995+z*t30171+t28634; + t29589 = RATIONAL(-7.0,96.0); + t29019 = t29589*t30161; + t28335 = t29713*t29019; + t30486 = t28335+t29432*t30654; + t30007 = t29714*RATIONAL(1.0,96.0); + t29077 = t29716*t30007; + t29308 = t29507*x; + t30485 = t29713*t29077+(t29308+t29296)*t30360; + t30135 = t29714*RATIONAL(-140.0,27.0); + t29508 = RATIONAL(-160.0,9.0); + t29520 = RATIONAL(280.0,9.0); + t30484 = t29520*t29995+t29508*t29996+z*t30135; + t29435 = RATIONAL(49.0,36.0); + t28676 = t29715*t29981; + t29517 = RATIONAL(-7.0,108.0); + t30065 = t29517*t29714; + t30483 = z*t30065+t28676+t29435*t29995; + t28819 = t29713*t30058; + t30482 = t29615*t29996+(t30016+t28819)*z; + t28370 = t29636*t30358; + t30299 = t29678*t30360; + t29440 = RATIONAL(35.0,48.0); + t29885 = t29440*t30161; + t28170 = t29713*t29885; + t30481 = t29715*t30299+t28370+t28170; + t30338 = x*t29439; + t30277 = y*t30338+t29070; + t29407 = RATIONAL(-49.0,288.0); + t29566 = RATIONAL(5.0,16.0); + t30480 = t29566*t29995+t30277+t29407*t29996; + t29011 = t29574*t30170; + t30233 = t29573*t29714; + t28662 = t29672*t29996; + t30479 = t28662+(t30233+t29011)*z; + t29917 = z*t29328; + t29466 = RATIONAL(1.0,432.0); + t30250 = t29466*t29714; + t30478 = t29715*t29917+(t28808+t30250)*y; + t28820 = y*t30065; + t28599 = t29715*t29954; + t30477 = t29435*t30001+t28820+t28599; + t29867 = t29702*t30161; + t28690 = t29713*t29867; + t29454 = RATIONAL(-20.0,27.0); + t30279 = t29454*t30360; + t29538 = RATIONAL(10.0,27.0); + t30476 = t28690+t29538*t30358+t29715*t30279; + t29430 = RATIONAL(35.0,54.0); + t30254 = t29714*t29430; + t29654 = RATIONAL(16.0,3.0); + t29400 = RATIONAL(-245.0,18.0); + t30475 = z*t30254+t29654*t29996+t29400*t29995; + t29501 = RATIONAL(-35.0,48.0); + t29854 = t29501*t30161; + t28219 = t29713*t29854; + t30474 = t29668*t30358+t28219+t30064*t30360; + t30332 = z*t29540; + t29982 = t29713*t30332; + t29491 = RATIONAL(-5.0,216.0); + t30251 = t29714*t29491; + t30473 = z*t30251+t29714*t29982+t28676; + t28635 = t29707*t29996; + t30472 = z*t30096+t28635+t29373*t29995; + t29661 = RATIONAL(-56.0,9.0); + t28361 = RATIONAL(35.0,3.0)*t29894; + t30471 = t29661*t30301+t28361+t29592*t30358; + t29611 = RATIONAL(-1.0,27.0); + t29338 = t29611*x; + t30165 = t29714*RATIONAL(-5.0,48.0); + t29838 = t29713*t30165; + t30470 = t29716*t29838+(t29338+t29335)*t30360; + t28225 = RATIONAL(-35.0,64.0)*t29894; + t30469 = t28225+(t30314+t30189)*t30360; + t29601 = RATIONAL(70.0,3.0); + t29552 = RATIONAL(-70.0,9.0); + t28337 = t29552*t29999; + t29569 = RATIONAL(-35.0,9.0); + t30207 = t29714*t29569; + t30468 = t29601*t30001+y*t30207+t28337; + t29596 = RATIONAL(-8.0,27.0); + t29326 = t29596*x; + t29652 = RATIONAL(-28.0,3.0); + t28407 = t29652*t29887; + t30467 = t29326+t28407+RATIONAL(125.0,9.0)*t30294; + t30163 = t29571*t29714; + t30466 = t29714*t29959+y*t30163+t29715*t29918; + t30072 = t29714*t29431; + t28659 = t29710*t29996; + t30465 = t28659+(t28883+t30072)*z; + t30464 = y*t30129+t29379*t30001+t29595*t29999; + t30463 = t29714*t29967+y*t30251+t28599; + t30178 = t29714*t29591; + t29604 = RATIONAL(35.0,6.0); + t28425 = t29604*t29996; + t30462 = z*t30178+t28425+t29503*t29995; + t30345 = x*t29583; + t30461 = t28366+y*t30345+t29713*t29945; + t29516 = RATIONAL(7.0,216.0); + t29321 = t29516*t29715; + t28770 = z*t29321; + t30460 = t29351*t30360+y*t28770+RATIONAL(-5.0,64.0)*t29894; + t29934 = z*t30054; + t28700 = t29715*t29934; + t30459 = t28700+(t29214+t30233)*y; + t29617 = RATIONAL(50.0,3.0); + t29448 = RATIONAL(56.0,27.0); + t30308 = x*t29448; + t30458 = t29617*t29995+t28249+y*t30308; + t29579 = RATIONAL(70.0,9.0); + t28289 = t29579*t29999; + t30035 = t29714*t29575; + t30457 = y*t30035+t29652*t30001+t28289; + t30258 = t29068+z*t30338; + t30456 = t30258+t29566*t30001+t29407*t29999; + t30048 = t29523*t29714; + t28328 = t29559*t29999; + t30455 = t28328+(t30048+t29825)*y; + t28706 = t29715*t29974; + t30137 = t29663*t29714; + t30454 = z*t30137+t28706+t29714*t29928; + t29625 = RATIONAL(5.0,24.0); + t30290 = t29625*t30360; + t30139 = t29494*t29714+t29296; + t30453 = t29715*t30290+t30139+t29714*t29847; + t30302 = x*t29558; + t30199 = t29281+y*t30302; + t29698 = RATIONAL(-5.0,3.0); + t30452 = t29698*t29995+t28026+t30199; + t29438 = RATIONAL(-14.0,27.0); + t30210 = t29714*t29438; + t28658 = t29715*t29925; + t29452 = RATIONAL(-49.0,36.0); + t30451 = y*t30210+t28658+t29452*t30001; + t30284 = t29579*t30360; + t28533 = RATIONAL(-35.0,4.0)*t29894; + t30450 = x*t30284+t28533+RATIONAL(245.0,36.0)*t30301; + t30449 = t29400*t30001+y*t30254+t29654*t29999; + t30448 = z*t30308+t29617*t30001+t28260; + t30148 = t29259+z*t30302; + t29819 = t29698*t30161; + t30447 = t30148+y*t29819+t28055; + t28371 = t29552*t29996; + t30446 = t29601*t29995+z*t30207+t28371; + t28424 = t29604*t29999; + t30445 = t28424+t29503*t30001+y*t30178; + t30238 = t29714*t29560; + t29913 = t29457*t30303; + t28224 = t29715*t29913; + t29818 = t29559*t30170; + t30444 = t28224+(t30238+t29818)*z; + t29329 = t29611*t29714; + t30295 = RATIONAL(-25.0,36.0)*t30360; + t30443 = t28513+t29329+t29715*t30295; + t30442 = z*t30210+t29452*t29995+t28706; + t29323 = t29559*t29716; + t29971 = y*t29323; + t28568 = t29715*t29971; + t30441 = z*t30048+t28568+t29561*t29995; + t29303 = t29510*t29715; + t28884 = z*t29303; + t30440 = y*t28884+RATIONAL(1.0,32.0)*t29894+t29306*t30360; + t29506 = RATIONAL(5.0,288.0); + t30216 = t29714*t29506; + t29582 = RATIONAL(5.0,96.0); + t29943 = t29582*t30303; + t30101 = t29715*t29424; + t28826 = z*t30101; + t28034 = t29713*t28826; + t30439 = y*t30216+t29714*t29943+t28034; + t30438 = t29520*t30001+y*t30135+t29508*t29999; + t29976 = y*t29431*t29715; + t28196 = t29716*t29976; + t30437 = z*t30087+t29693*t29995+t28196; + t29317 = t29507*t29714; + t30436 = t29317+z*t29938+t28214; + t30337 = y*t29594; + t29968 = t29715*t30337; + t30435 = t29705*t29995+z*t30163+t29716*t29968; + t29933 = y*t30154; + t30328 = z*t29556; + t29911 = t29715*t30328; + t28262 = t29713*t29911; + t30434 = y*t30057+t29714*t29933+t28262; + t29927 = t29530*t30303; + t30151 = t29714*t29476; + t30433 = y*t30151+t29714*t29927+t29715*t29912; + t29533 = RATIONAL(-10.0,27.0); + t29664 = RATIONAL(5.0,4.0); + t28589 = t29664*t29894; + t30432 = RATIONAL(-35.0,108.0)*t30301+t28589+t29533*t30358; + t29445 = RATIONAL(35.0,27.0); + t30431 = t29445*t30358+RATIONAL(-245.0,27.0)*t30301+RATIONAL(8.0,1.0)* +t29894; + t29607 = RATIONAL(-28.0,9.0); + t29493 = RATIONAL(14.0,27.0); + t30169 = t29493*t29714; + t30430 = y*t30169+t29607*t30001+t30619; + t29036 = t29716*t30066; + t30271 = t29714*t29449; + t29964 = t29629*t30346; + t30429 = z*t30271+t28579+t29714*t29964+t29036; + t30012 = t29714*t29530; + t30428 = z*t30012+t29562*t29995+t30597; + t29467 = RATIONAL(49.0,18.0); + t30427 = t29467*t30301+t29628*t30358+t30605; + t28868 = t29715*t30261; + t29937 = y*t29327; + t30426 = t28868+t29715*t29937+(t30250+t28962)*z; + t29948 = y*t30076; + t28015 = t29715*t29948; + t30056 = t29714*t29624; + t30309 = x*t29466; + t30425 = t28015+y*t30309+t29630*t29995+z*t30056; + t29403 = RATIONAL(-175.0,24.0); + t30317 = x*t29556; + t30213 = t29714*RATIONAL(-25.0,9.0); + t30424 = z*t30317+y*t30213+t28424+t29403*t30001; + t29324 = t29557*t29714; + t30423 = x*t30290+t29324+RATIONAL(49.0,32.0)*t29894+t29481*t30301; + t29340 = t29629*t29714; + t30422 = t30311*t30359+t29479*t30301+t29340+RATIONAL(-245.0,64.0)*t29894; + t28687 = RATIONAL(1.0,2.0)*t29894; + t30291 = t29644*t30360; + t30421 = t28687+t29446*t30301+x*t30291+t29324; + t29059 = z*t30324; + t28147 = t29715*t29940; + t30420 = t29059+t28147+(t29885+t30061)*y; + t30419 = t28147+t29039+y*t30238+t29714*t29971; + t30418 = t29691*t30301+t30325*t30360+t28170+RATIONAL(-5.0,432.0)*t29714; + t28531 = RATIONAL(7.0,32.0)*t29894; + t29331 = t29613*t29714; + t30417 = t28531+t30327*t30361+z*t29976+t29331; + t29222 = t29670*t30360; + t29942 = t29715*t30332; + t30416 = t28225+t29350+x*t29222+y*t29942; + t29419 = RATIONAL(49.0,54.0); + t29626 = RATIONAL(-7.0,54.0); + t30415 = t29626*t30358+t29419*t30301+t30551; + t29648 = RATIONAL(-5.0,24.0); + t30414 = t29312+RATIONAL(49.0,96.0)*t29894+t29648*t30654; + t29492 = RATIONAL(-5.0,108.0); + t30298 = t29492*t30360; + t30413 = x*t30298+RATIONAL(35.0,108.0)*t30301+t30551; + t29963 = t29629*t30303; + t30412 = y*t30271+t29714*t29963+t30635; + t30200 = t29714*RATIONAL(25.0,9.0); + t28367 = t29579*t29996; + t29600 = RATIONAL(-50.0,3.0); + t29427 = RATIONAL(-40.0,27.0); + t30315 = x*t29427; + t30411 = y*t30315+z*t30200+t29600*t29995+t28367; + t29434 = RATIONAL(-35.0,27.0); + t30067 = t29715*t29434; + t28873 = z*t30067; + t30283 = t29434*t30360; + t28605 = x*t29849; + t29666 = RATIONAL(8.0,3.0); + t30410 = t29666*t29894+t28605+x*t30283+y*t28873; + t28978 = z*t30310; + t29484 = RATIONAL(-35.0,16.0); + t30409 = t28978+t29121+t29495*t29999+t29484*t30001; + t29453 = RATIONAL(28.0,27.0); + t30293 = t29453*t30360; + t29460 = RATIONAL(-56.0,27.0); + t30408 = t28690+t28641+t29460*t30301+x*t30293; + t30181 = t29631*t29714; + t28992 = z*t30181; + t29970 = t29713*t30328; + t30407 = t28992+t29714*t29970+t30545; + t30406 = z*t30213+t29403*t29995+y*t30317+t28425; + t29370 = t29693*t29716; + t29921 = y*t29370; + t30405 = t28979+t29714*t29921+t30620; + t29509 = RATIONAL(35.0,16.0); + t29387 = RATIONAL(-245.0,96.0); + t30244 = t29714*t29706; + t30404 = z*t30244+t29509*t29995+t28800+t29387*t29996; + t30403 = t29180+t29715*t29222+t30589; + t28818 = t29481*t30161; + t30402 = t30614+(t30072+t28818)*y; + t29554 = RATIONAL(7.0,96.0); + t29206 = t29554*t30161; + t28566 = t29713*t29206; + t30401 = t28081+t28566+(t30164+t30305)*t30360; + t29998 = z*t29344; + t28558 = t29715*t29998; + t30102 = t29643*t29714; + t30400 = t28558+t29567*t30001+x*t30333+y*t30102; + t30399 = z*t30169+t29607*t29995+t30545; + t30398 = t30556+(t30186+t29697)*t30360; + t30397 = t29607*t30358+t29450*t30301+t30562; + t28459 = RATIONAL(-7.0,32.0)*t29894; + t30318 = x*t29557; + t30094 = t29573*t29715; + t30396 = t28459+t29535*t29714+(t30094+t30318)*t30360; + t30395 = z*t30309+t29630*t30001+t28034+y*t30056; + t28177 = t29715*t29966; + t30394 = t28834+t28177+y*t30012+t29714*t29958; + t29458 = RATIONAL(40.0,27.0); + t30393 = t29458*t30301+x*t30279+t30506; + t29202 = z*t30348; + t29003 = y*t30165; + t29614 = RATIONAL(-5.0,16.0); + t30392 = t29202+t29003+t29396*t29999+t29614*t30001; + t29675 = RATIONAL(-2.0,3.0); + t30255 = t29714*t29705; + t30313 = x*t29491; + t27999 = t29713*t29942; + t30391 = y*t30255+z*t30313+t29675*t30001+t27999; + t30390 = z*t30035+t29652*t29995+t29094+t28367; + t29581 = RATIONAL(20.0,3.0); + t29977 = t29581*t30346; + t30136 = t29714*t29556; + t30389 = t29057+z*t30136+t29714*t29977+t28371; + t29486 = RATIONAL(5.0,108.0); + t30388 = t28696+t28525+t29486*t30654; + t30387 = y*t30136+t29581*t30001+t28337+t30528; + t29565 = RATIONAL(20.0,9.0); + t30386 = t29321+t29350+t28533+t29565*t30358+t29423*t30301; + t28685 = RATIONAL(-5.0,4.0)*t29894; + t29461 = RATIONAL(20.0,27.0); + t30300 = t29461*t30360; + t30385 = t28685+t29430*t30301+t29340+t29303+x*t30300; + t29522 = RATIONAL(-5.0,144.0); + t30159 = t29714*t29522; + t30384 = y*t30159+t29716*t29003+t28177+t30532; + t29319 = RATIONAL(16.0,27.0)*t29715; + t30383 = t29454*t29714+RATIONAL(-100.0,9.0)*t30301+t28361+RATIONAL(50.0, +9.0)*t30358+t29319; + t30382 = z*t30165+t29614*t29995+t29396*t29996+t30583; + t30381 = t28328+t30602+(t30095+t29854)*y; + t30214 = t29714*t29486; + t28866 = z*t30214; + t28674 = t29715*t29921; + t29524 = RATIONAL(-35.0,36.0); + t30336 = z*t29524; + t29991 = t29714*t30336; + t30380 = t29713*t29991+t28866+t28674+t30613; + t30230 = t29714*RATIONAL(-25.0,72.0); + t29389 = RATIONAL(175.0,24.0); + t30357 = x*t29669; + t29279 = z*t30357; + t30379 = t29389*t30001+y*t30230+t29279+t30637; + t30262 = t29714*t29590; + t28422 = t29576*t29996; + t30378 = z*t30262+t29714*t29935+t28422+t30566; + t30377 = t28978+y*t30214+t29524*t30001+t30544; + t30131 = t29714*t29533; + t30376 = t29565*t29995+z*t30131+t28480+t30518; + t30375 = RATIONAL(175.0,36.0)*t30301+x*t30295+t29708*t29714+t30605; + t29103 = t29560*t30359; + t30374 = t28878+t28938+t28568+t29103+t29501*t29995; + t29050 = t29715*t30055; + t29475 = RATIONAL(25.0,24.0); + t30155 = t29714*RATIONAL(25.0,72.0); + t29662 = RATIONAL(4.0,27.0); + t30322 = x*t29662; + t30373 = y*t30155+t29050+z*t30322+t28700+t29475*t30001; + t28999 = t29716*t30029; + t29247 = y*t30357; + t30372 = t28999+t29247+t28634+z*t30230+t29389*t29995; + t30371 = y*t30313+t29107+z*t30255+t29675*t29995+t28206; + t30370 = z*t29968+t30337*t30361+t28566+t30541; + t29044 = x*t30145; + t28982 = t29716*t30094; + t29536 = RATIONAL(-35.0,12.0); + t29931 = t29536*t30346; + t30369 = t29044+t28982+t28635+t29103+t29162+t29714*t29931; + t30153 = t29714*t29538; + t30368 = y*t30153+t29442*t30001+t30529+t30581; + t30274 = t29714*t29492; + t30052 = t29715*t29557; + t29204 = t29716*t30052; + t30367 = z*t30274+t28709+t29642*t29995+t29204+t30583; + t29334 = t29611*t29715; + t30289 = RATIONAL(25.0,36.0)*t30360; + t28391 = x*t29871; + t30366 = t28594+t29334+t28391+t29635*t29714+t30347*t30289; + t29024 = x*t30042; + t30365 = t29089+t29059+y*t30262+t29024+t28431+t29714*t29978; + t29641 = RATIONAL(-7.0,24.0); + t28541 = t29641*t29946; + t30364 = x*t30299+t28219+t28541+t29590*t30301+t30555; + t30363 = t28639+t28391+t28370+t29480*t30301+t29331+t29303; + t30043 = t29714*t29660; + t30362 = t30528+t30620+(t30043+t29867)*y; + t29436 = RATIONAL(-5.0,288.0); + t30354 = x*t29436; + t30353 = x*t29516; + t30352 = x*t29658; + t30351 = x*t29498; + t30344 = t29635*x; + t30343 = x*t29460; + t30331 = x*t29510; + t30326 = x*t29691; + t29468 = RATIONAL(1.0,864.0); + t30323 = x*t29468; + t30321 = x*t29458; + t30319 = x*t29590; + t30316 = x*t29499; + t30307 = x*t29506; + t29593 = RATIONAL(-16.0,9.0); + t30306 = x*t29593; + t29020 = z*t30345; + t28805 = z*t30316; + t29177 = t29623*t30360; + t28754 = RATIONAL(-140.0,9.0)*t30360; + t30285 = RATIONAL(-50.0,9.0)*t30360; + t29428 = RATIONAL(-28.0,27.0); + t30282 = t29428*t30360; + t29217 = t29672*t30360; + t30281 = t29522*t30360; + t29471 = RATIONAL(7.0,432.0); + t30278 = t29471*t29715; + t30270 = t29517*t29715; + t28781 = z*t30270; + t30276 = t29107+t28781; + t29990 = t29455*t30346; + t30275 = t28391+x*t29990; + t28237 = t29715*t29816; + t30240 = t29535*t29716; + t29953 = y*t30240; + t30272 = t28237+t29715*t29953; + t30141 = t29621*t29714; + t29200 = t29716*t30141; + t28519 = y*t29200; + t30223 = t29609*t29715; + t29148 = y*t30223; + t30269 = t28519+t29148; + t30265 = t29636*t29715; + t30264 = t28555+t30097*t30359; + t30263 = z*t30352+t29234; + t30259 = RATIONAL(80.0,27.0)*t29715; + t28986 = t29714*t30042; + t29016 = t29715*t30176; + t30257 = t28986+t29016; + t30253 = t29445*t29715; + t29437 = RATIONAL(-49.0,27.0); + t30248 = t29437*t29715; + t30247 = t29714*t29436; + t29140 = t29715*t30024; + t30246 = y*t29300+t29140; + t29231 = t29715*t30140; + t30243 = y*t29341+t29231; + t29343 = t29656*t29714; + t29355 = t29670*t29714; + t30239 = t29714*t29668; + t30237 = t29714*t29516; + t29587 = RATIONAL(14.0,3.0); + t28501 = t29587*t29946; + t29650 = RATIONAL(-49.0,9.0); + t30236 = t28501+t29650*t30296; + t30235 = y*t30352+t29271; + t30234 = RATIONAL(112.0,27.0)*t29715; + t30232 = t29535*t29713; + t30039 = t29714*t29648; + t28354 = t30039*t30360; + t29416 = RATIONAL(49.0,192.0); + t27995 = t29416*t29887; + t30231 = t28354+t27995; + t30229 = t28495+y*t29006; + t30228 = t29633*t30297+t28555; + t29191 = t29615*t30320; + t30227 = z*t30343+t29191; + t30226 = t29715*t29524; + t30225 = t29715*t29438; + t29955 = t29455*t30303; + t30224 = x*t29955+t28391; + t30222 = t29715*RATIONAL(-35.0,216.0); + t30221 = t28501+t29650*t30297; + t30220 = t29715*RATIONAL(49.0,216.0); + t30218 = t29571*t29715; + t30217 = t29493*t29715; + t28242 = y*t29991; + t30215 = t28543+t28242; + t30212 = t29491*t29715; + t29930 = z*t30232; + t30211 = x*t29930+t28031; + t30209 = t29662*t29715; + t30208 = t29715*t29466; + t30206 = z*t29341+t29255; + t30205 = t29714*t29671; + t30204 = t29443*t29715; + t30203 = t29715*t29436; + t30201 = t29547*t29715; + t30075 = t29715*RATIONAL(-49.0,216.0); + t30198 = t28982+z*t30075; + t30197 = t29050+y*t30075; + t30196 = t29204+t29127; + t29114 = t29613*t30170; + t29178 = t29713*t30052; + t30195 = t29114+t29178; + t29164 = t29713*t30124; + t28767 = y*t29302; + t30192 = t29164+t28767; + t30191 = t29334+t29638*t29714; + t30185 = t28543+t29714*t29217; + t30184 = t29547*t29716; + t30183 = RATIONAL(-80.0,27.0)*t29715; + t30182 = t29645*t29715; + t30179 = t29631*t29715; + t29347 = t29562*t29713; + t28404 = t29655*t29996; + t30177 = t28404+t28407; + t30175 = t29533*t29715; + t29354 = t29699*t29713; + t30173 = t29716*t30056+t29138; + t29667 = RATIONAL(-8.0,3.0); + t29358 = t29667*t29713; + t29362 = t29697*t29713; + t29117 = z*t30201; + t30168 = t28416+t29713*t29117; + t30167 = t29016+z*t30103; + t30166 = t29539*t29716; + t29365 = t29666*t29713; + t29371 = t29674*t29713; + t29417 = RATIONAL(-1.0,1728.0); + t29289 = t29417*t29715; + t30162 = t29289+t29399*t29714; + t28562 = z*t29923; + t30158 = t28003+t28562; + t30157 = t29715*t29538; + t30156 = RATIONAL(32.0,9.0)*t29715; + t29049 = z*t30043; + t30152 = t28543+y*t29049; + t28983 = y*t30201; + t28313 = t29716*t28983; + t30150 = t28416+t28313; + t28551 = t29715*t29855; + t30149 = t30089*t30360+t28551; + t30128 = t29715*t29498; + t30143 = t28853+y*t30128; + t30142 = RATIONAL(-7.0,864.0)*t29715; + t30134 = t29715*t29626; + t30133 = t29449*t29715; + t30132 = t28620+x*t29984; + t30130 = t28135+t29604*t30294; + t29007 = t29713*t30141; + t28552 = z*t29007; + t28977 = z*t30223; + t30126 = t28552+t28977; + t30125 = t29715*t29660; + t30122 = t28999+z*t30220; + t30119 = t29715*t29596; + t30117 = t28182+x*t29944; + t30116 = t29714*t29532; + t29598 = RATIONAL(-40.0,9.0); + t30115 = t29714*t29598; + t30113 = t29107+t29200; + t28060 = RATIONAL(70.0,27.0)*t30294; + t30111 = t28060+t28646; + t30109 = t28567+z*t29126; + t30107 = t29714*RATIONAL(-1.0,96.0); + t30106 = RATIONAL(-35.0,192.0)*t29714; + t30104 = RATIONAL(7.0,864.0)*t29715; + t30099 = t29716*t29573; + t30100 = t28541+t30099*t30359; + t29221 = x*t30090; + t30098 = y*t30344+t29221; + t30092 = t29715*RATIONAL(35.0,288.0); + t28570 = t29715*t29821; + t29015 = t29714*t30108; + t30091 = t28570+t29713*t29015; + t30086 = RATIONAL(-35.0,288.0)*t29715; + t30083 = t29685*t29713; + t30080 = t29714*t30287+t28551; + t29684 = RATIONAL(8.0,9.0); + t30078 = t29715*t29684; + t30077 = t28551+t29714*t30289; + t29188 = x*t30118; + t30074 = t29188+t28805; + t29548 = RATIONAL(8.0,27.0); + t30073 = t29715*t29548; + t28807 = t29528*t30267; + t30071 = t28807+t29714*t30004; + t30070 = t29715*RATIONAL(35.0,216.0); + t30069 = t29715*RATIONAL(-112.0,27.0); + t30062 = t29669*t29714; + t30053 = t29715*t29468; + t30050 = t29715*t29560; + t30047 = t29715*t29506; + t30046 = t29605*t29715; + t30045 = t29713*t29580; + t29444 = RATIONAL(49.0,27.0); + t30044 = t29715*t29444; + t30040 = t29565*t29715; + t30037 = t29714*t29558; + t29570 = RATIONAL(56.0,9.0); + t30036 = t29714*t29570; + t29941 = y*t30166; + t28172 = t29715*t29941; + t30034 = t28003+t28172; + t30033 = t29089+y*t30248; + t29563 = RATIONAL(-20.0,9.0); + t30028 = t29715*t29563; + t30026 = t29715*RATIONAL(49.0,576.0); + t30022 = t29714*RATIONAL(5.0,192.0); + t30021 = t29331*t30360+t28188; + t30019 = t29663*t29715; + t29377 = RATIONAL(-49.0,144.0); + t30018 = t29714*t29377; + t30015 = t29714*RATIONAL(35.0,192.0); + t30014 = t29539*t29713; + t29359 = t29667*t29716; + t29357 = t29666*t29716; + t30011 = t29714*t29528; + t30005 = t29714*t29485; + t30003 = t29523*t29715; + t30002 = t29205+y*t30316; + t29004 = z*t30102; + t29659 = RATIONAL(40.0,3.0); + t29989 = t29659*t30303; + t29988 = t29686*t30303; + t29987 = t29582*t30346; + t29986 = t29431*t30303; + t29985 = t29536*t30303; + t29983 = t29474*t30303; + t29980 = t29684*t30346; + t29082 = z*t30265; + t29975 = z*t29317; + t29021 = y*t30134; + t29647 = RATIONAL(-20.0,3.0); + t29972 = t29647*t30303; + t28990 = z*t30125; + t28814 = y*t30253; + t28779 = y*t30003; + t28786 = y*t30226; + t29957 = y*t29333; + t28755 = z*t30248; + t29951 = z*t30063; + t29950 = y*t30160; + t29949 = t29647*t30346; + t29090 = t29716*t30318; + t29924 = t29659*t30346; + t29920 = t29686*t30346; + t29919 = t29649*t30346; + t29915 = t29684*t30303; + t29914 = t29671*t30303; + t29282 = t29708*t30170; + t29909 = t28873+t29325+t29094; + t28306 = RATIONAL(64.0,3.0)*t29887; + t29908 = t28306+RATIONAL(16.0,1.0)*t29712+RATIONAL(-112.0,3.0)*t29894; + t29907 = t28555+t29024+x*t29939; + t29906 = t29353+t29710*t30161+t29249; + t29905 = t29176+t29359+t29716*t30036; + t29904 = t29716*t30068+t28999+t29333; + t28923 = t29528*t30342; + t29903 = t28925+t28923+t29713*t30107; + t29168 = t29651*t30170; + t29902 = t28501+t29569*t30297+t29267; + t29901 = t29188+t28222+x*t29926; + t29900 = t29321+t29039+t29021; + t29899 = t29626*t29714+t29560+t29335; + t29898 = t29306+t29090+z*t30330; + t29159 = t29714*t30024; + t29142 = t29713*t30156; + t29897 = t29142+t29365+t29661*t30170; + t29074 = t29560*t30170; + t29896 = t29343+t30652; + t29895 = t28744+z*t30092+t29303; + t29028 = t29714*t30138; + t29288 = t29417*x; + t29287 = RATIONAL(7.0,1728.0)*t29715; + t29893 = t29474*t29714+t29288+t29287; + t28989 = t29646*t30170; + t29157 = t29716*t30107; + t29892 = t29157+t28917+t28938; + t29170 = t29713*t30093; + t29891 = t29170+t29358+t29713*t30036; + t29890 = t29580*t30161+t29255+t29367; + t28906 = t29526*t30170; + t28857 = t29474*t30170; + t29889 = t28840+t29715*t29957+t27995; + t29888 = t29298+t28925+y*t30203; + t28730 = t29713*t30026; + t29292 = RATIONAL(-7.0,1728.0)*t29715; + t29886 = t28730+y*t30101+t29292; + t29884 = t29710*t30170+t29236+t29361; + t29883 = t28525+t29187+z*t29221; + t29882 = t29362+t29714*t30045+t29231; + t27941 = t29416*t29946; + t29881 = t29024+x*t29913+t27941; + t27933 = RATIONAL(-343.0,192.0)*t29887; + t29880 = t28882+t27933+t29406*t29996; + t28400 = t29632*t29887; + t29879 = RATIONAL(7.0,1.0)*t29712+RATIONAL(-49.0,3.0)*t29894+t28400; + t29878 = y*t30086+t29321+t28730; + t29877 = t29255+z*t30179+t29339; + t29875 = t30081*t30359+t28641+t29238; + t28592 = t29675*t29946; + t29874 = t28592+t30010*t30361+t29242; + t29873 = t29338+t30553; + t28179 = t29715*t29836; + t29872 = t28868+t29715*t29927+t28179; + t29153 = t29716*t30306; + t29616 = RATIONAL(10.0,3.0); + t29870 = t29153+t29057+t29616*t30161; + t29041 = y*t30341; + t29869 = t29044+t29041+t29338; + t29111 = y*t30218; + t29868 = t29111+t29298+t29164; + t29866 = RATIONAL(-8.0,1.0)*t29894+t28605+t28400; + t29864 = t28570+t30626; + t29863 = t28543+t29715*t29914+t29251; + t28675 = t29713*t29819; + t28666 = t29715*t29831; + t29862 = t28675+t28666+t28592; + t29861 = RATIONAL(49.0,3.0)*t29894+t28407+RATIONAL(-7.0,1.0)*t29712; + t29860 = t28666+t29695*t29894+t29712; + t28904 = x*t30194; + t29859 = t28904+x*t29957+t27941; + t29858 = t28834+y*t30278+t29292; + t29857 = t29707*t29894+t28646-t29712; + t29856 = t29036+z*t29334+t29300; + t29853 = x*t29985+t29239+t28131; + t29852 = t29248+t29048+t28811; + t28760 = x*t30049; + t29851 = y*t30307+t28760+t29308; + t29553 = RATIONAL(-35.0,3.0); + t29850 = t28415+t28400+t29553*t29894; + t29848 = t29354+t29048+t29467*t30170; + t29846 = t29036+t29006+t29716*t30087; + t29137 = t29713*t30306; + t29845 = t29048+t29616*t30170+t29137; + t29313 = RATIONAL(-16.0,27.0)*t29715; + t29345 = t29548*x; + t29844 = t29461*t29714+t29313+t29345; + t29275 = t29714*t30082; + t29843 = t29716*t30018+t28982+t29323; + t29274 = t29714*t30031; + t29842 = t29467*t30161+t29366+t29057; + t29841 = t29355*t30360+t28551+t29308; + t29840 = t28807+t28923+t29535*t30170; + t28725 = t29716*t30026; + t29839 = t28725+t27995+t29377*t29996; + t29837 = t27993+t30573; + t28870 = x*t30004; + t29294 = t29399*x; + t29835 = y*t30350+t28870+t29294; + t29171 = t29716*t30156; + t29834 = t29661*t30161+t29357+t29171; + t29833 = t28501+t29569*t30296+t29264; + t29213 = t29716*t30102; + t29832 = t29370+t29254+t29714*t30027; + t29830 = t29669+t29428*t29714+t29319; + t29829 = t29050+t29713*t30018+t29348; + t29828 = t28906+t29178+t29347; + t29827 = t29044+t27967+t29519*t30297; + t29585 = RATIONAL(-25.0,6.0); + t29826 = t29585*t30294+t28127+t29351; + t29119 = t29560*t30161; + t29099 = t29714*t30099; + t29102 = t29586*t30161; + t29093 = t29651*t30161; + t28018 = RATIONAL(35.0,64.0)*t29894; + t29824 = t28018+t28541+t27993; + t29823 = t29153+t29171+t29716*t30115; + t29822 = t29713*t30115+t29142+t29137; + t29820 = t29349+t28841+t29204; + t29817 = t28716+y*t30092+t29303; + t28860 = t29474*t30161; + t29815 = t29713*t30112; + t28301 = RATIONAL(-64.0,3.0)*t29887; + t28304 = RATIONAL(32.0,3.0)*t29946; + t29814 = t28301+t28304+RATIONAL(80.0,3.0)*t29894; + t29813 = t29170+t29713*t30088+t29197; + t29812 = t29089+t29450*t30170+t29371; + t29811 = t28081+t28904+x*t29936; + t29810 = t29714*t30054+t29246+t29363; + t29809 = t29674+t29450*t29714; + t29808 = RATIONAL(-56.0,3.0)+RATIONAL(392.0,9.0)*t29714; + t28505 = t29343*t30360; + t29807 = t28505+z*t29021+t30091; + t28443 = y*t29004; + t29806 = t28003+t29714*t29937+t28443+t28104; + t28166 = t29420*t29894; + t29805 = t28166+t29715*t30281+t30563; + t28153 = y*t29975; + t29804 = t28153+t29714*t29912+t29715*t29983+t28179; + t28006 = t29714*t30283; + t29803 = t28666+z*t28814+t28006+t29713*t29275; + t28048 = z*t28820; + t28385 = y*t28986; + t29802 = t28048+t28385+t30168; + t28094 = y*t28866; + t29801 = t28094+t29715*t30298+t30091; + t29800 = t28528+y*t29093+t30074+t30152; + t29799 = z*t28786+t30336*t30359+t30149+t30574; + t28178 = y*t28781; + t29798 = t28505+t28178+t29517*t30358+t29864; + t27944 = RATIONAL(980.0,27.0)*t30294; + t29797 = RATIONAL(-16.0,1.0)*t29712+RATIONAL(-560.0,27.0)*t30301+t28754+ +t28301+RATIONAL(112.0,3.0)*t29894+t27944; + t29796 = z*t30216+t28015+t28938+t29714*t29987+t30158; + t29795 = t29714*t29920+y*t30353+t28205+t29126+t30185; + t29794 = t29714*t29919+t28870+t28156+y*t30351+t30021; + t28414 = t29337*t30360; + t29793 = t28414+t29605*t29995+t30150+t30277; + t29792 = y*t30237+t29714*t29955+t30080+t30544; + t29791 = t29563*t29995+t28514+t30111+t30235; + t29790 = t28834+t28558+y*t30247+t29714*t29973+t30231; + t28035 = RATIONAL(-175.0,9.0)*t30294; + t29789 = RATIONAL(-20.0,1.0)*t29894+RATIONAL(245.0,27.0)*t30301+t28400+ +t28304+RATIONAL(280.0,27.0)*t30358+t28035; + t29788 = z*t30037+t28242+t29714*t29951+t29863; + t29787 = t28006+t29715*t30293+t29438*t30358+t29862; + t29786 = t29563*t30001+t28317+t30111+t30263; + t29785 = t29039+t29058+t29714*t29914+t27999+t30077; + t29784 = t28414+t29716*t29058+t30168+t30258; + t29703 = RATIONAL(-5.0,1.0); + t29376 = RATIONAL(343.0,72.0); + t29783 = t29703*t30001+t29376*t29999+t30130+t30263; + t29782 = t29382*t29995+t29094+z*t30041+t28422+t30513; + t29781 = t29552*t30358+RATIONAL(140.0,9.0)*t30301+t28035+t29850; + t28025 = t29444*t30294; + t29780 = t29715*t30282+t28025+t29217+t29857; + t29779 = z*t30247+t28354+t29519*t29995+t29889; + t29778 = RATIONAL(49.0,108.0)*t30301+t28685+t28641+t29493*t30358+t30215; + t29777 = z*t29815+t28562+t30002+t30034; + t29776 = t29036+z*t30237+t28674+t29714*t29990+t30080; + t29775 = t29714*t29986+t28658+t29231+y*t30137+t30077; + t29774 = t28387+z*t29168+t30002+t30152; + t28345 = t29714*t30284; + t29773 = t29714*t29949+t28345+t30177+t30199; + t27983 = RATIONAL(-700.0,27.0)*t30294; + t29772 = t28306+RATIONAL(-80.0,3.0)*t29894+t28320+RATIONAL(-280.0,27.0)* +t30358+t27983+RATIONAL(560.0,27.0)*t30301; + t29488 = RATIONAL(-49.0,54.0); + t29771 = x*t30282+t28592+t28589+t29488*t30301+t30149; + t28114 = RATIONAL(245.0,9.0)*t30294; + t29770 = t28114+t29715*t28754+t29553*t30360+t29861; + t29769 = t28378+t29714*t29972+t28345+t28407+t30148; + t29768 = t28414+t28273+t28416+t29715*t30291+t30139; + t28300 = t29610*t30294; + t29767 = t28300+t29587*t30360+t29570*t30301+t29879; + t29766 = t29714*t29992+y*t30181+t30540+t30619; + t29765 = t28384+t29317+t29298+y*t29082+t30152; + t29764 = z*t30353+t29090+t29714*t29988+t28052+t30185; + t29763 = t28570+RATIONAL(-1.0,16.0)*t29712+t28505+t29716*t29818+t30652* +t30360; + t29395 = RATIONAL(35.0,144.0); + t29762 = t28459+t28081+t29395*t30301+x*t30281+t30231; + t29761 = y*t30171+t29459*t30001+t30543+t30637; + t28238 = t29295*t30360; + t29760 = z*t30151+t28237+t29714*t29929+t28922+t29716*t28779+t28238; + t29759 = y*t30037+t29714*t29950+t30215+t30581; + t29172 = y*t30146; + t29529 = RATIONAL(25.0,48.0); + t28112 = t29529*t30294; + t29758 = t29714*t29913+t29172+t28112+t27993+t30642; + t29757 = t28531+t28222+t29621*t30301+t29624*t30358+t30577; + t29756 = t29222+t29715*t30300+t28006+t29860; + t28208 = RATIONAL(-98.0,27.0)*t30294; + t29755 = t29575*t30360+t29448*t30301+t28208+t29860; + t29754 = t30052*t30360+t29293+t28166+t29417*t29714+t30021; + t29753 = t29020+t29262+t28472+t29451*t30001+t30077; + t29752 = t29703*t29995+t29376*t29996+t30130+t30235; + t29751 = t28687+t28525+RATIONAL(-49.0,108.0)*t30301+t29512*t30358+t30080; + t29750 = t28850+z*t30351+t29649*t30001+t28011+t30021; + t29749 = t30158+t29715*t29926+t29193+(t30172+t28906)*z; + t29748 = t30629+t30635+(t30060+t29099)*y; + t29747 = t29715*t29177+RATIONAL(343.0,48.0)*t29894+RATIONAL(-49.0,16.0)* +t29712+RATIONAL(-5.0,2.0)*t30360+t29899+t30130; + t29746 = t28801+z*t30239+y*t30354+t29016+t29641*t29995+t28223+t29837; + t29745 = t29050+t29306+t29058+t28653+t29714*t29985+t30595+t30602; + t29744 = t28999+t28984+z*t29028+t28659+t29841+t30580; + t29743 = t29302+t30185+t29530+t29471*t29714+t30589+(t29693+t30174)*t30360 +; + t29742 = y*t30322+t29338+t28982+z*t30155+t28662+t29475*t29995+t29221+ +t30617; + t29741 = t28946+z*t30354+t29641*t30001+y*t30239+t29837+t30642; + t28670 = t29697*t30294; + t29740 = t29294+t29523*t30359+t28760+t29004+t28670+t29567*t29995+t29889; + t29739 = t29341+t29345+RATIONAL(-175.0,36.0)*t30301+x*t30285+t29678* +t29714+t30558+t30562; + t28630 = t29664*t30294; + t29738 = t28630+z*t30112+t29484*t29995+t28725+t29308+t27933+t29495*t29996 ++t30613; + t29737 = y*t29911+t29671*t30360+t29896+t30149+t30556; + t29736 = t30597+t30621+t29308+t30580+(t30159+t29838)*z; + t29735 = t28666+y*t30131+t28262+t29565*t30001+t29231+t30505+t30596; + t29734 = t29598*t30301+t28345+t29177+t29861+t29896; + t29733 = t29107+z*t30061+t28224+t29440*t29995+t27995+t30520+t30566; + t29732 = t29089+t29191+z*t30315+y*t30200+t29600*t30001+t28289+t30467; + t29731 = z*t30153+t28218+t29442*t29995+t29863+t29869; + t29730 = t29468*t29714+t29289+t28222+t28335+t29288+t30638+(t30066+t30340) +*t30360; + t28420 = RATIONAL(-25.0,8.0)*t30294; + t29729 = t28420+t29338+t28793+t29387*t29999+t27932+y*t30244+t29509*t30001 ++t30529; + t29728 = t29172+y*t29102+t29841+t30532+t30614; + t29511 = RATIONAL(100.0,9.0); + t29543 = RATIONAL(25.0,3.0); + t29727 = t29543*t30360+t29453*t29714+t29691+t29313+t29511*t30301+t28035+ +t29879; + t29677 = RATIONAL(5.0,1.0); + t29390 = RATIONAL(-245.0,72.0); + t29726 = t29677*t30001+y*t30205+t29390*t29999+t28880+t29826+t30596; + t29725 = y*t30328+t28060+t29427*t30301+t29857+t29899; + t29724 = RATIONAL(-5.0,576.0)*t29714+t29676*t30358+t30029*t30360+t29287+ +t29824+t30573; + t28247 = t29714*t30285; + t29723 = t29338+t29545*t30301+t29563*t30358+t28247+t29850+t30555; + t29722 = t29698*t30358+t29616*t30301+t28149+RATIONAL(-245.0,48.0)*t29894+ +t29826+t30506; + t28575 = y*t28992; + t29721 = t29202+t28570+t28708+t29188+t29306+t29178+y*t30274+t29642*t30001 ++t28575; + t29720 = t29677*t29995+t28882+z*t30205+t29390*t29996+t29826+t30518; + t29719 = y*t28990+t28341+t29841+t30541+t30574; + t29718 = t29016+t29713*t29962+t29049+t28196+t29873+t30617; + t29711 = RATIONAL(-1.0,8.0); + t29709 = RATIONAL(1.0,8.0); + t29704 = RATIONAL(4.0,1.0); + t29701 = RATIONAL(5.0,8.0); + t29700 = RATIONAL(-4.0,1.0); + t29694 = RATIONAL(7.0,4.0); + t29692 = RATIONAL(7.0,8.0); + t29688 = RATIONAL(-1.0,4.0); + t29683 = RATIONAL(1.0,4.0); + t29682 = RATIONAL(-2.0,1.0); + t29681 = RATIONAL(-7.0,8.0); + t29680 = RATIONAL(2.0,1.0); + t29679 = RATIONAL(-7.0,4.0); + t29665 = RATIONAL(-5.0,8.0); + t29657 = RATIONAL(-49.0,6.0); + t29637 = RATIONAL(-16.0,3.0); + t29627 = RATIONAL(10.0,1.0); + t29620 = RATIONAL(25.0,2.0); + t29618 = RATIONAL(-10.0,1.0); + t29608 = RATIONAL(-25.0,2.0); + t29602 = RATIONAL(49.0,9.0); + t29597 = RATIONAL(-80.0,9.0); + t29588 = RATIONAL(49.0,6.0); + t29555 = RATIONAL(35.0,8.0); + t29551 = RATIONAL(-35.0,8.0); + t29550 = RATIONAL(56.0,3.0); + t29546 = RATIONAL(80.0,9.0); + t29541 = RATIONAL(25.0,32.0); + t29537 = RATIONAL(-112.0,9.0); + t29525 = RATIONAL(-200.0,9.0); + t29521 = RATIONAL(160.0,9.0); + t29513 = RATIONAL(112.0,9.0); + t29500 = RATIONAL(-25.0,54.0); + t29497 = RATIONAL(-25.0,48.0); + t29490 = RATIONAL(25.0,96.0); + t29478 = RATIONAL(-25.0,27.0); + t29473 = RATIONAL(-224.0,9.0); + t29472 = RATIONAL(-25.0,32.0); + t29470 = RATIONAL(25.0,54.0); + t29465 = RATIONAL(-25.0,12.0); + t29463 = RATIONAL(-25.0,96.0); + t29462 = RATIONAL(25.0,18.0); + t29441 = RATIONAL(-392.0,9.0); + t29433 = RATIONAL(25.0,12.0); + t29421 = RATIONAL(200.0,9.0); + t29418 = RATIONAL(-175.0,18.0); + t29413 = RATIONAL(-343.0,18.0); + t29411 = RATIONAL(343.0,18.0); + t29405 = RATIONAL(175.0,18.0); + t29404 = RATIONAL(-175.0,32.0); + t29394 = RATIONAL(196.0,27.0); + t29393 = RATIONAL(100.0,27.0); + t29391 = RATIONAL(-100.0,27.0); + t29386 = RATIONAL(175.0,32.0); + t29383 = RATIONAL(-196.0,27.0); + t29378 = RATIONAL(-343.0,72.0); + t29375 = RATIONAL(49.0,288.0); + t29336 = t29583*t29714; + t29304 = RATIONAL(5.0,576.0)*t29714; + t29284 = t29714*t30083; + t29280 = t29714*t29369; + t29277 = z*t30219; + t29272 = t29716*t30006; + t29269 = z*t30032; + t29268 = t29676*t30161; + t29265 = t29714*t29362; + t29261 = t29714*t30085; + t29260 = y*t30078; + t29244 = t29716*t30062; + t29240 = y*t30008; + t29233 = y*t30326; + t29224 = t29714*t30038; + t29223 = t29714*t30140; + t29219 = t29713*t30062; + t29216 = z*t30326; + t29215 = z*t30078; + t29212 = y*t30182; + t29210 = t29716*t30110; + t29208 = t29625*t30170; + t29207 = y*t29334; + t29201 = t29713*t30087; + t29198 = z*t29339; + t29196 = z*t30218; + t29186 = y*t29339; + t29185 = y*t30187; + t29181 = t29619*t30170; + t29174 = y*t30179; + t29167 = t29713*t30061; + t29166 = t29714*t30023; + t29165 = y*t30209; + t29146 = t29577*t30170; + t29143 = t29714*t30147; + t29132 = t29713*t30056; + t29130 = z*t29325; + t29125 = y*t30050; + t29120 = z*t30319; + t29118 = t29713*t30007; + t29116 = y*t30319; + t29113 = z*t30134; + t29110 = t29716*t30039; + t29101 = y*t30040; + t29097 = z*t30028; + t29095 = z*t30073; + t29087 = y*t30019; + t29083 = t29557*t30161; + t29079 = y*t30028; + t29078 = y*t30265; + t29067 = z*t30344; + t29066 = z*t30040; + t29056 = y*t30245; + t29054 = z*t30119; + t29051 = z*t30182; + t29047 = t29625*t30161; + t29046 = t29716*t30043; + t29035 = y*t30334; + t29033 = y*t30125; + t29032 = t29713*t30039; + t29029 = y*t30119; + t29014 = y*t30009; + t29008 = t29589*t30170; + t29000 = t29554*t30170; + t28996 = y*t30073; + t28995 = z*t30209; + t28988 = y*t30046; + t28980 = z*t30050; + t28975 = y*t29325; + t28974 = z*t30046; + t28973 = t29713*t30043; + t28967 = z*t30019; + t28964 = y*t30323; + t28961 = y*t30053; + t28960 = z*t30253; + t28957 = y*t30175; + t28955 = y*t30343; + t28952 = z*t30321; + t28951 = y*t30067; + t28945 = y*t30142; + t28943 = t29713*t30095; + t28942 = y*t29303; + t28939 = t29716*t30095; + t28933 = z*t30183; + t28932 = z*t30204; + t28929 = z*t30203; + t28928 = y*t30331; + t28926 = t29716*t30005; + t28921 = z*t30208; + t28916 = z*t30133; + t28915 = y*t30204; + t28912 = y*t30225; + t28911 = t29539*t30161; + t28910 = y*t30217; + t28907 = z*t30044; + t28901 = y*t30044; + t28900 = t29713*t30159; + t28899 = y*t30270; + t28898 = z*t30128; + t28897 = y*t30047; + t28893 = z*t30259; + t28892 = z*t30104; + t28891 = t29714*t30014; + t28877 = t29542*t30161; + t28872 = z*t30331; + t28871 = y*t29321; + t28867 = y*t30212; + t28862 = z*t29302; + t28861 = z*t30252; + t28859 = z*t30047; + t28854 = z*t30307; + t28848 = t29716*t30105; + t28845 = z*t30278; + t28842 = z*t30212; + t28839 = y*t30133; + t28837 = y*t30208; + t28832 = t29716*t30022; + t28831 = z*t30225; + t28825 = t29713*t30022; + t28824 = z*t30175; + t28823 = y*t30321; + t28822 = y*t30157; + t28817 = t29716*t30159; + t28812 = t29504*t30161; + t28804 = z*t30226; + t28802 = z*t30217; + t28795 = t29713*t30005; + t28792 = y*t30183; + t28785 = z*t30003; + t28782 = t29716*t30011; + t28778 = t29716*t30116; + t28774 = t29713*t30116; + t28769 = y*t30104; + t28765 = y*t30259; + t28764 = z*t30157; + t28758 = z*t29300; + t28752 = z*t30053; + t28750 = z*t30323; + t28747 = z*t30142; + t28746 = t29713*t30011; + t28742 = z*t30234; + t28741 = y*t30234; + t28740 = z*t30069; + t28739 = y*t30220; + t28738 = y*t30070; + t28737 = y*t30069; + t28734 = z*t30222; + t28732 = t29713*t30106; + t28731 = t29713*t30015; + t28726 = t29395*t30161; + t28724 = z*t30086; + t28723 = t29716*t30015; + t28722 = t29415*t30161; + t28721 = t29716*t30106; + t28720 = t29415*t30170; + t28719 = y*t30222; + t28718 = t29395*t30170; + t28717 = z*t30070; + t28704 = t29365*t30361; + t28694 = t29670*t30296; + t28679 = t29360*t30359; + t28677 = x*t29981; + t28672 = t29358*t30361; + t28669 = t29367*t30359; + t28663 = t29354*t30361; + t28655 = x*t29960; + t28654 = t29371*t30361; + t28650 = t29715*t29915; + t28648 = t30085*t30361; + t28647 = t29715*t29980; + t28645 = x*t29925; + t28644 = t29716*t29247; + t28643 = x*t29922; + t28629 = t29372*t30359; + t28627 = x*t29914; + t28624 = y*t29264; + t28623 = x*t29915; + t28622 = z*t29248; + t28621 = t29713*t29279; + t28619 = t29667*t29894; + t28618 = t29673*t30296; + t28616 = x*t29934; + t28615 = t29357*t30359; + t28614 = y*t29262; + t28609 = x*t29980; + t28607 = x*t29974; + t28602 = t29714*t29831; + t28600 = t29369*t30361; + t28598 = y*t29239; + t28597 = t29359*t30359; + t28593 = z*t29242; + t28588 = x*t29954; + t28587 = x*t29921; + t28578 = t29362*t30361; + t28577 = t30038*t30359; + t28571 = t29716*t29815; + t28564 = t29715*t29943; + t28556 = t30184*t30359; + t28554 = x*t29943; + t28549 = t29586*t30296; + t28547 = x*t29917; + t28542 = t30045*t30361; + t28522 = y*t29016; + t28517 = y*t29024; + t28509 = x*t29958; + t28504 = t29637*t29999; + t28497 = x*t29963; + t28493 = x*t29916; + t28489 = RATIONAL(5.0,64.0)*t29894; + t28487 = x*t29949; + t28479 = t29713*t29157; + t28475 = y*t29090; + t28473 = t29584*t30297; + t28462 = x*t29937; + t28452 = t29562*t29999; + t28436 = t29714*t29917; + t28433 = t29715*t29987; + t28430 = t29546*t30297; + t28429 = x*t29987; + t28426 = t29651*t30297; + t28421 = t29347*t30361; + t28418 = x*t29932; + t28413 = z*t28989; + t28408 = t29544*t29995; + t28405 = t29715*t29924; + t28399 = x*t29977; + t28398 = t29602*t30296; + t28392 = x*t29972; + t28390 = x*t29970; + t28373 = t29546*t30296; + t28358 = t29715*t29989; + t28351 = t29581*t30296; + t28340 = y*t28969; + t28338 = z*t29175; + t28336 = z*t29044; + t28334 = t29593*t29999; + t28331 = x*t29969; + t28327 = t30055*t30361; + t28326 = t29593*t29996; + t28312 = z*t29108; + t28309 = t29594*t30296; + t28299 = x*t29994; + t28296 = x*t29933; + t28295 = x*t29971; + t28293 = t29637*t29996; + t28283 = t29602*t30297; + t28281 = x*t30000; + t28280 = t29715*t29964; + t28279 = x*t29998; + t28278 = t29597*t30296; + t28277 = x*t29964; + t28271 = z*t29187; + t28264 = x*t29947; + t28254 = t29597*t30297; + t28253 = RATIONAL(-1.0,32.0)*t29894; + t28245 = x*t29918; + t28230 = x*t29993; + t28229 = x*t29967; + t28212 = t30013*t30361; + t28203 = x*t29953; + t28193 = x*t29983; + t28183 = t29715*t29929; + t28173 = x*t29927; + t28169 = x*t29948; + t28164 = x*t29952; + t28158 = t29521*t29999; + t28155 = RATIONAL(-49.0,96.0)*t29894; + t28154 = x*t29940; + t28134 = x*t29931; + t28126 = x*t29928; + t28122 = t29715*t29930; + t28113 = x*t29950; + t28109 = x*t29973; + t28107 = RATIONAL(-49.0,32.0)*t29894; + t28105 = t30014*t30361; + t28089 = t29514*t29996; + t28088 = x*t29986; + t28074 = x*t29979; + t28066 = x*t29941; + t28054 = t29513*t30296; + t28049 = t29513*t30297; + t28047 = t29473*t29996; + t28045 = t29473*t29999; + t28044 = t29714*t29836; + t28041 = t29537*t30297; + t28040 = x*t29951; + t28039 = t29537*t30296; + t28029 = x*t29982; + t28014 = t29521*t29996; + t27996 = t29377*t29999; + t27988 = t29378*t29996; + t27976 = RATIONAL(245.0,48.0)*t29894; + t27965 = t29416*t29894; + t27948 = t29375*t29996; + t27942 = t29378*t29999; + t27936 = t29375*t29999; + coeff_dyz_m2_m2_m2 = t28861+t28183+t28857+t28860+(t29494+t30188)*t30349+( +(t29494+t30118)*t29714+(t30163+t30347*t29439)*z)*y+t28479+t29835+t28173+t29872+ +t30515+t30525+t30598+t30647; + coeff_dyz_m1_m2_m2 = t28825+t28489+t28832+y*t29020+t28845+t28493+t28178+ +t29736+t29304+t29858+t30384+t30570; + coeff_dyz_0_m2_m2 = (t29557+t29577*t29713)*z+(t30023+t29557+(t29705+ +t30209)*z)*y+t29748+t29207+t29856+t30497+t30511+t30531+t30611+t30636; + coeff_dyz_p1_m2_m2 = t30367+t28939+t29198+t28943+t29721+t28556+t28571+( +t30344+t30182)*t30360+t29186+t30609+t30631; + coeff_dyz_p2_m2_m2 = t28915+t29892+t28932+y*t28805+t28230+t28253+t30395+ +t28043+t29893+t29903+t30425+t30592+t30638; + coeff_dyz_p3_m2_m2 = z*t28767+t28837+t28921+t29760+t28812+t28044+t30071+ +t30162+t30433; + coeff_dyz_m2_m1_m2 = t28564+t28897+z*t29329+t30126+t30370+t28554+t29851+ +t30384+t30587+t30601+t30604+t30621; + coeff_dyz_m1_m1_m2 = t29733+t28732+t28549+t29110+t27996+t29113+(t29490+ +t29541*t29716)*t30335+t29878+t30416+t30628+t30649; + coeff_dyz_0_m1_m2 = t29737+t29095+t29078+(t29625+t29701*t29716)*y+(t29708 ++t29574*t29713)*z+t29890+t30402+t30442+t30536; + coeff_dyz_p1_m1_m2 = t28720+t30364+t29054+t29033+t29046+t28542+t29731+ +t30373+t30632; + coeff_dyz_p2_m1_m2 = t29000+t29015+t29018+t29746+t28212+t29817+t29901+ +t30392+t30417; + coeff_dyz_p3_m1_m2 = t28795+t29213+t29749+t29196+t29888+t30436+t30439; + coeff_dyz_m2_0_m2 = t28522+z*t29282+t28942+t29201+t28928+t28340+t29748+ +t29883+t30489; + coeff_dyz_m1_0_m2 = t28609+t28739+t28598+t29771+t29168+t30402+t30452; + coeff_dyz_0_0_m2 = z*t30083+t28334+t28912+(t29419*t29714+t29628+(t29699+ +t29467*t29714)*t29716)*y+t29755+t29810+t30523; + coeff_dyz_p1_0_m2 = t28624+t29791+t28910+t28655+t30408+t30490+t30591; + coeff_dyz_p2_0_m2 = t29265+t29795+t28517+t28593+t30197+t30415+t30459; + coeff_dyz_p3_0_m2 = t28519+t28871+t29807+t30195+t30534+t30610; + coeff_dyz_m2_p1_m2 = t29074+t29083+t29298+t29721+t28593+t28839+t28497+( +t29638+t30140)*t30349+t29196+t30494+t30554+t30561+t30626; + coeff_dyz_m1_p1_m2 = t29047+t29018+t29028+t28655+t28719+t29718+t29875+ +t30373+t30385; + coeff_dyz_0_p1_m2 = t28822+(t29636+t30260)*y+t29054+(t29676+t29696*t29713 +)*z+t29725+t29884+t30399+t30490+t30548; + coeff_dyz_p1_p1_m2 = t28609+t30376+t30393+t29095+t28957+t28694+t28334+( +t29470+t29462*t29716)*t30335+t29862+t30505+t30542+t30612+t30628; + coeff_dyz_p2_p1_m2 = t28738+t29166+t28309+t29321+t29728+t29113+t29280+ +t29883+t30371+t30421; + coeff_dyz_p3_p1_m2 = t28867+t29143+t28977+t29768+t30173+t30412+t30435; + coeff_dyz_m2_p2_m2 = t28891+t29730+t28921+t29975+t28509+t28413+t28212+ +t30395+t30507+t30509+t30572+t30639; + coeff_dyz_m1_p2_m2 = t29188+t29044+t30374+t28877+t28932+t28679+t28731+ +t28542+t29724+t30392+t30607; + coeff_dyz_0_p2_m2 = t29198+t29266+(t29577+t29688*t29716)*y+(t30059+t29613 +)*z+t29743+t29820+t29829+t30459+t30483; + coeff_dyz_p1_p2_m2 = t28669+t29240+t28817+t28718+t29728+t29856+t30380+ +t30418+t30649; + coeff_dyz_p2_p2_m2 = t29740+(t29630+t29709*t29716)*t30335+t28462+t29008+ +t29077+t28845+t27996+t29886+t30396+t30587+t30598; + coeff_dyz_p3_p2_m2 = t28774+t28861+t28779+t28782+t29754+t30394+t30426; + coeff_dyz_m2_p3_m2 = t28961+t28964+t28203+z*t29159+t28238+t29840+t30272+ +t30433+t30485+t30592; + coeff_dyz_m1_p3_m2 = t29777+t28945+t28475+t30439+t30460+t30609+t30622; + coeff_dyz_0_p3_m2 = t29619*t30346+(t29624+t29630*t29716)*y+t29763+t29828+ +t30269+t30569+t30610; + coeff_dyz_p1_p3_m2 = t29111+t28900+t28493+t29793+t30229+t30412+t30470; + coeff_dyz_p2_p3_m2 = t29118+t28769+t29794+t28193+t30394+t30440+t30647; + coeff_dyz_p3_p3_m2 = t28746+t28183+(t29468+t30240)*t30335+t29804+t30143+ +t30651; + coeff_dyz_m2_m2_m1 = t28429+t29114+t28859+t28848+t28854+y*t29329+t28433+ +t29736+t29140+t29811+t30269+t30370; + coeff_dyz_m1_m2_m1 = t29032+t29035+t29907+(t29490+t29541*t29713)*t30349+ +t29839+t28724+t28721+t29900+t30416+t30420+t30520+t30603; + coeff_dyz_0_m2_m1 = t29737+t28996+t29082+(t30180+t29708)*y+(t29701*t29713 ++t29625)*z+t29882+t29904+t30451+t30465; + coeff_dyz_p1_m2_m1 = t28426+t28990+t29029+t30364+t28973+t28722+t28418+ +t29742+t30368; + coeff_dyz_p2_m2_m1 = t29181+t29206+t29185+t29741+t28169+t29895+t30382+ +t30417+t30594; + coeff_dyz_p3_m2_m1 = t29159+t28929+t28926+t29796+t29868+t30436+t30488; + coeff_dyz_m2_m1_m1 = t29733+t29056+t29141+t28154+t29529*t30654+t29336+ +t28155+t29881+t30420+t30560+t30625; + coeff_dyz_m1_m1_m1 = t28759+t28885+((t29404*t29716+t29465)*t29714+( +RATIONAL(-175.0,48.0)*t29715+t29585*x+RATIONAL(125.0,16.0)*t29714)*z)*y+t29326+ +t29116+t28751+t29120+t29880+t29355+(t29465+t29404*t29713)*t30349+t30527+t30552+ +t30559+t30640+t30641; + coeff_dyz_0_m1_m1 = t29097+t29079+(t29698+t29551*t29716+(RATIONAL(25.0, +4.0)+t29543*t29715)*z)*y+t29782+(t29698+t29551*t29713)*z+t29812+t29830+t30499+ +t30514+t30565; + coeff_dyz_p1_m1_m1 = t28813+t29101+t29057+t29066+t27976+t29844+t29853+ +t29852+t28134+(RATIONAL(-25.0,3.0)*t29715+RATIONAL(25.0,6.0)*x)*t30360+t30406+ +t30424+t30558; + coeff_dyz_p2_m1_m1 = t28804+t28786+t29041+t28994+(t29497*x+RATIONAL(175.0 +,48.0)*t29715)*t30360+t29001+t28109+t29729+t28107+t29827+t30404+t30504; + coeff_dyz_p3_m1_m1 = t29497*t30301+t28988+t28989+t28974+t29758+t27965+ +t30191+t30257+t30496; + coeff_dyz_m2_0_m1 = t28645+t29219+t29799+t28113+t30243+t30451+t30452; + coeff_dyz_m1_0_m1 = t28955+t28487+t29620*t29995+t27988+t30033+t30236+ +t30450+t30499+t30513+t30579; + coeff_dyz_0_0_m1 = t29627*t30346+t28404+t28405+t28408+t28741+(t29383* +t29714+t29592+(t29413*t29714+t29588)*t29716)*y+t29770+t29891; + coeff_dyz_p1_0_m1 = t28399+t28737+t29781+t28398+t29822+t30458+t30464; + coeff_dyz_p2_0_m1 = t28901+t28643+t29752+t30224+t30445+t30500+t30633; + coeff_dyz_p3_0_m1 = t29223+t28975+t29759+t30510+t30537; + coeff_dyz_m2_p1_m1 = t29261+t30366+t29087+t29099+t28974+t28643+t29718+ +t28088+t30368; + coeff_dyz_m1_p1_m1 = t28804+t28399+t28823+t28814+t29739+t28818+(t29433+ +t29608*t29713)*t30349+t29845+t30424+t30575+t30643; + coeff_dyz_0_p1_m1 = t28792+t29066+(t29563+t29576*t29716)*y+(t29618*t29713 ++t29702)*z+t29727+t29842+t29897+t30446+t30464; + coeff_dyz_p1_p1_m1 = t28765+t30383+t28405+t29097+(t29391+t29418*t29716)* +t30335+t29833+t28487+t29120+t29813+t30411+t30467+t30586; + coeff_dyz_p2_p1_m1 = t28645+t28951+t30365+t29720+t29284+t28229+t29214+ +t30375+t30552; + coeff_dyz_p3_p1_m1 = t29174+t29282+t29775+t30113+t30443+t30493+t30560; + coeff_dyz_m2_p2_m1 = t29125+t29139+t29298+t29741+t28911+t28929+t28295+ +t29827+t30374+t30414; + coeff_dyz_m1_p2_m1 = t28723+t29014+t29233+(t29463+t29386*t29713)*t30349+ +t28134+t29729+t28089+t29895+t30422+t30516+t30522; + coeff_dyz_0_p2_m1 = t28990+t29747+t29260+(t29686+t29694*t29716)*y+(t29648 ++t29555*t29713)*z+t29843+t29848+t30445+t30472; + coeff_dyz_p1_p2_m1 = t28726+t28819+t29250+t30365+t29082+t28629+t29722+ +t30372+t30641; + coeff_dyz_p2_p2_m1 = (t29689+t29681*t29716)*t30335+t29002+t29011+t29321+ +t29019+t28724+t28854+t28154+t29738+t29859+t30423+t30527; + coeff_dyz_p3_p2_m1 = t28983+t29007+t28859+t28778+t29779+t30419+t30453; + coeff_dyz_m2_p3_m1 = t29777+t29143+t28066+t30192+t30486+t30488+t30594; + coeff_dyz_m1_p3_m1 = t28753+t29472*t29995+t28426+t29208+t28018+t29758+ +t27948+t30098+t30100+t30503; + coeff_dyz_0_p3_m1 = t29212+t29665*t30346+(t29668+t29641*t29716)*y+t29759+ +t30403+t30530+t30578; + coeff_dyz_p1_p3_m1 = t29167+t29165+t29775+t30264+t30461+t30481+t30603; + coeff_dyz_p2_p3_m1 = t29146+t28429+t28899+t29762+t28074+t30419+t30480; + coeff_dyz_p3_p3_m1 = t28433+t29132+(t29499+t30166)*t30335+t29805+t30246+ +t30590; + coeff_dyz_m2_m2_0 = y*t29274+t28884+t28338+t28336+t28872+t29846+t30489+ +t30497+t30547+t30629; + coeff_dyz_m1_m2_0 = t29093+t28622+t28623+t29771+t30122+t30447+t30465; + coeff_dyz_0_m2_0 = t28831+t28326+y*t30082+(t29354+t29628+(t29467*t29713+ +t29419)*t29714)*z+t29755+t29832+t30624; + coeff_dyz_p1_m2_0 = t28618+t28802+t28616+t29786+t30408+t30482+t30533; + coeff_dyz_p2_m2_0 = t28312+t28614+t29764+t29225+t30198+t30415+t30479; + coeff_dyz_p3_m2_0 = t28552+t28770+t29807+t30196+t30584+t30627; + coeff_dyz_m2_m1_0 = t29244+t28607+t28040+t29799+t30206+t30442+t30447; + coeff_dyz_m1_m1_0 = t29620*t30001+t29782+t28755+t28392+t27942+t29210+ +t30221+t30227+t30450; + coeff_dyz_0_m1_0 = t28358+t28742+t29627*t30303+(t29588*t29713+t29592+( +t29413*t29713+t29383)*t29714)*z+t29770+t29905+t30599; + coeff_dyz_p1_m1_0 = t28351+t28740+t29781+t28283+t29823+t30448+t30491; + coeff_dyz_p2_m1_0 = t28627+t29057+t28907+t29783+t29272+t30275+t30462+ +t30500; + coeff_dyz_p3_m1_0 = t29268+t29130+t29788+t30526+t30537; + coeff_dyz_m2_0_0 = t28666+t28331+t28208+t28619+t29444*t30654+t30132+ +t30523+t30624; + coeff_dyz_m1_0_0 = t28054+t28408+t28114+t28049+(RATIONAL(-392.0,27.0)*x+ +RATIONAL(-343.0,27.0)*t29715)*t30360+t30177+t30599+t30634; + coeff_dyz_0_0_0 = t28047+t28045+t29808*t30346+(t29808*t29716+(RATIONAL( +784.0,27.0)*t29715+RATIONAL(-1372.0,27.0)*t29714+RATIONAL(196.0,9.0))*z)*y+ +t29908; + coeff_dyz_p1_0_0 = t27944+t28041+t28039+(RATIONAL(392.0,27.0)*x+RATIONAL( +-784.0,27.0)*t29715)*t30360+t29814+t30564+t30576; + coeff_dyz_p2_0_0 = t28300+t28299+t28296+(t29437*x+RATIONAL(343.0,27.0)* +t29715)*t30360+t29866+t30615+t30616; + coeff_dyz_p3_0_0 = t28025+t28646+t28602+y*t28755+t30508+t30512; + coeff_dyz_m2_p1_0 = t29130+t28299+t28281+t29786+t29224+t30399+t30410; + coeff_dyz_m1_p1_0 = t28907+t29789+t28278+t28041+t29870+t30446+t30448; + coeff_dyz_0_p1_0 = t28014+t29989+t28740+(t29607+t29550*t29713+(t29441* +t29713+t29394)*t29714)*z+t29797+t29834+t30564; + coeff_dyz_p1_p1_0 = t28045+t29421*t30001+t28742+t28373+t29772+t28049+ +t30227+t30484+t30568; + coeff_dyz_p2_p1_0 = t28755+t28331+t29769+t29275+t30390+t30431+t30571; + coeff_dyz_p3_p1_0 = t29274+t29803+t30206+t30492+t30521; + coeff_dyz_m2_p2_0 = t28770+t29764+t28677+t29204+t29119+t30275+t30483+ +t30495; + coeff_dyz_m1_p2_0 = t28615+t29102+t28283+t29783+t30198+t30397+t30472; + coeff_dyz_0_p2_0 = t29700*t30303+t28802+t28293+(t29580+t29657*t29713+( +t29488+t29411*t29713)*t29714)*z+t29767+t29906+t30615; + coeff_dyz_p1_p2_0 = t28831+t28597+t29769+t30221+t30471+t30475+t30648; + coeff_dyz_p2_p2_0 = t29680*t30001+t28040+t28587+t28872+t27942+t30122+ +t30427+t30487+t30543+t30618; + coeff_dyz_p3_p2_0 = t29083+t28884+t29776+t30524+t30644; + coeff_dyz_m2_p3_0 = t28486+t28312+t29798+t30569+t30627; + coeff_dyz_m1_p3_0 = t28577+t28616+t29778+t30526+t30578; + coeff_dyz_0_p3_0 = t29988+t28650+t29809*t30346+t29780+t30512; + coeff_dyz_p1_p3_0 = t28622+t28644+t29787+t30521+t30608; + coeff_dyz_p2_p3_0 = t28336+t28556+t29751+t30549+t30644; + coeff_dyz_p3_p3_0 = t28413+y*t29119+t28048+t28338+t30150+t30582; + coeff_dyz_m2_m2_p1 = t30367+(t29638+t30190)*t30335+t29143+t28916+t29868+ +t28614+t28575+t29898+t29864+t28280+t28277+t29119+t30494; + coeff_dyz_m1_m2_p1 = t28618+t29208+t29185+t29102+t28734+t30362+t29742+ +t30385+t30550; + coeff_dyz_0_m2_p1 = (t29636+t30268)*z+t29029+t28764+(t29676+t30030)*y+ +t29725+t29906+t30430+t30482+t30530; + coeff_dyz_p1_m2_p1 = t28675+t29167+t29035+t28996+t28824+t28623+(t29462* +t29713+t29470)*t30349+t28326+t29735+t29874+t30393+t30648; + coeff_dyz_p2_m2_p1 = t28717+t29146+t29744+t28245+t29900+t30391+t30421+ +t30547+t30618; + coeff_dyz_p3_m2_p1 = t29132+t29083+t29768+t28842+t29148+t29140+t30429+ +t30466; + coeff_dyz_m2_m1_p1 = t28627+t29139+t28126+t28967+t28988+t30362+t29731+ +t29224+t30366; + coeff_dyz_m1_m1_p1 = t28786+t28960+t28351+t28952+t29739+(t29433+t29608* +t29716)*t30335+t28473+t29870+t30406+t30522+t30650; + coeff_dyz_0_m1_p1 = t29101+t28933+(t29702+t29618*t29716)*y+t29727+(t29576 +*t29713+t29563)*z+t29834+t29848+t30468+t30491; + coeff_dyz_p1_m1_p1 = t28819+t29079+t29116+t28893+t29732+t28392+t28358+( +t29391+t29418*t29713)*t30349+t29902+t30383+t30568; + coeff_dyz_p2_m1_p1 = t29011+t29726+t28751+t28607+t29275+t28029+t29909+ +t30375+t30378; + coeff_dyz_p3_m1_p1 = t29056+t29274+t29007+t29785+t29877+t30443+t30454; + coeff_dyz_m2_0_p1 = t29791+t28975+t28264+t29261+t28296+t30410+t30430; + coeff_dyz_m1_0_p1 = t28039+t28901+t29789+t28254+t29845+t30458+t30468; + coeff_dyz_0_0_p1 = t28737+t29924+t28158+(t29394*t29714+t29607+(t29550+ +t29441*t29714)*t29716)*y+t29797+t29897+t30576; + coeff_dyz_p1_0_p1 = t28741+t29421*t29995+t28054+t28955+t28430+t29772+ +t28047+t29813+t30438; + coeff_dyz_p2_0_p1 = t28390+t29284+t29773+t30033+t30132+t30431+t30457; + coeff_dyz_p3_0_p1 = t29282+t29803+t30243+t30434+t30539; + coeff_dyz_m2_p1_p1 = t29174+t28390+t29219+t29244+t29496*t30654+t28619+ +t29735+t29336+t29877+t30376+t30571; + coeff_dyz_m1_p1_p1 = t28951+t29732+t28430+t28373+(RATIONAL(-175.0,27.0)* +t29715+RATIONAL(-200.0,27.0)*x)*t30360+t29355+t29210+t29909+t30411+t30579+ +t30634; + coeff_dyz_0_p1_p1 = t28765+t28893+(t29565+t29595*t29713)*z+t29830+t29891+ +(t29565+t29595*t29716+(t29511+RATIONAL(400.0,27.0)*t29715)*z)*y+t27983+t29905+ +t29908+t30438+t30484; + coeff_dyz_p1_p1_p1 = t28792+t28933+t28952+t28823+t29814+t28278+t28254+ +t28158+t28014+(t29525*t29713+t29393)*t30349+((t29525*t29716+t29393)*t29714+( +RATIONAL(-400.0,27.0)*t29715+RATIONAL(200.0,27.0)*x+RATIONAL(500.0,27.0)*t29714 +)*z)*y+t29822+t29823+t29844; + coeff_dyz_p2_p1_p1 = t28960+t28264+t29866+t28814+t30387+(RATIONAL(175.0, +27.0)*t29715+t29478*x)*t30360+t29873+t28247+t28281+t29272+t30389+t30504+t30633; + coeff_dyz_p3_p1_p1 = t29478*t30301+t29223+t29087+t28967+t28602+t29268+ +t29766+t30191+t30407; + coeff_dyz_m2_p2_p1 = t29719+t28983+t28842+t28587+t28029+t29846+t30380+ +t30391+t30625; + coeff_dyz_m1_p2_p1 = t28759+t28717+t29002+t28597+t29726+t29093+t29902+ +t30372+t30386; + coeff_dyz_0_p2_p1 = t29250+t28824+t29734+(t29675+t29704*t29716)*y+(t29660 ++t29604*t29713)*z+t29812+t29832+t30457+t30475; + coeff_dyz_p1_p2_p1 = t28615+(t29405*t29713+t29500)*t30349+t29233+t28764+ +t29723+t28473+t29260+t28293+t29852+t30387+t30533; + coeff_dyz_p2_p2_p1 = t29014+t30363+t28126+t28994+t28734+t28677+t29898+ +t29225+t30369+(t29693+t29682*t29716)*t30335+t30595+t30650; + coeff_dyz_p3_p2_p1 = t29125+t28989+t28916+t29765+t30196+t30405+t30473; + coeff_dyz_m2_p3_p1 = t29114+t28556+t29793+t28245+t30246+t30388+t30466; + coeff_dyz_m1_p3_p1 = t29032+t28899+t28644+t29785+t29874+t30432+t30461; + coeff_dyz_0_p3_p1 = t29165+t29922+(t29675*t29716+t29705)*y+t29756+t29882+ +t30434+t30608; + coeff_dyz_p1_p3_p1 = t29456*t29995+t29212+t28973+t28577+t28650+t29766+ +t30098+t30476+t30550; + coeff_dyz_p2_p3_p1 = t28753+t29181+t28486+t29774+t28277+t30405+t30413; + coeff_dyz_p3_p3_p1 = t29159+t28280+(t29439+t30184)*t30335+t29801+t30192+ +t30623; + coeff_dyz_m2_m2_p2 = t28837+t29730+y*t29317+t28911+t28452+t28421+t28385+ +t28169+t29840+t30425+t30517+t30535; + coeff_dyz_m1_m2_p2 = t28723+t28600+t28915+t30381+t28418+t29724+t30382+ +t30606+t30622; + coeff_dyz_0_m2_p2 = t29269+(t29613+t29572*t29716)*y+(t29688*t29713+t29577 +)*z+t29743+t29186+t29828+t29843+t30477+t30479; + coeff_dyz_p1_m2_p2 = t28726+t28900+t28578+t29744+t29207+t29907+t30377+ +t30418+t30546; + coeff_dyz_p2_m2_p2 = t29118+t29811+(t29709*t29713+t29630)*t30349+t29019+ +t28826+t29839+t28670+t28547+t29835+t29858+t30396+t30400; + coeff_dyz_p3_m2_p2 = t28778+t28746+t28785+t29754+t30428+t30478+t30515; + coeff_dyz_m2_m1_p2 = t28891+t29099+t28980+t29746+t28109+t29888+t30381+ +t30414+t30593; + coeff_dyz_m1_m1_p2 = t28663+t29216+t28420+t29869+t28965+t30404+t29817+ +t28818+t29853+t28731+(t29386*t29716+t29463)*t30335+t30422+t30519; + coeff_dyz_0_m1_p2 = t29215+t29747+(t29686+t29694*t29713)*z+t29033+(t29648 ++t29555*t29716)*y+t29829+t29842+t30462+t30498; + coeff_dyz_p1_m1_p2 = t28654+t29277+t29078+t28718+t29722+t30378+t30379+ +t30586+t30640; + coeff_dyz_p2_m1_p2 = t28630+t29008+t28279+t29136+t29851+t29878+t29880+( +t29689+t29681*t29713)*t30349+t29214+t29881+t30409+t30423; + coeff_dyz_p3_m1_p2 = t28774+t28897+t29117+t29790+t30113+t30444+t30453; + coeff_dyz_m2_0_p2 = t28588+t29074+t29178+t28871+t29795+t30224+t30477+ +t30495; + coeff_dyz_m1_0_p2 = t29028+t28704+t28398+t29752+t30197+t30397+t30498; + coeff_dyz_0_0_p2 = t28910+t29700*t30346+t28504+(t29488*t29714+t29580+( +t29657+t29411*t29714)*t29716)*y+t29767+t29884+t30616; + coeff_dyz_p1_0_p2 = t28672+t28912+t29773+t30236+t30449+t30471+t30542; + coeff_dyz_p2_0_p2 = t29680*t29995+t27988+t28928+t28739+t29761+t29280+ +t28113+t30427+t30645; + coeff_dyz_p3_0_p2 = t28942+t29143+t29792+t30501+t30524; + coeff_dyz_m2_p1_p2 = t28867+t29117+t29719+t29201+t29024+t28229+t29141+ +t30371+t30377+t30645; + coeff_dyz_m1_p1_p2 = t28672+t28738+t28885+t29136+t29720+t29168+t29833+ +t30379+t30386; + coeff_dyz_0_p1_p2 = t28957+t29277+(t29660+t29604*t29716)*y+(t29675+t29704 +*t29713)*z+t29734+t29810+t30390+t30449+t30565; + coeff_dyz_p1_p1_p2 = t28822+t28813+t29216+t28504+t29215+t28704+t29723+( +t29405*t29716+t29500)*t30335+t30389+t30553+t30591+t30643; + coeff_dyz_p2_p1_p2 = t28588+t29265+t30363+t28965+t29745+(t29682*t29713+ +t29693)*t30349+t29001+t28719+t28088+t30554+t30575; + coeff_dyz_p3_p1_p2 = t28980+t28839+t29765+t30195+t30257+t30437+t30463; + coeff_dyz_m2_p2_p2 = t29740+t28279+t28779+t28848+t28785+t29619*t30654+ +t28155+t29859+t30400+t30525+t30601; + coeff_dyz_m1_p2_p2 = t28654+t28732+t29024+(t29572*t29715+t29675*x)*t30360 ++t28826+t28721+t28629+t29738+t29304+t29886+t30409+t30559; + coeff_dyz_0_p2_p2 = t29240+(t29619+z+t29679*t29716+t29696*t30355)*y+( +t29619+t29679*t29713)*z+t29761+t29904+t30487+t30514+t30531+t30536+t30546; + coeff_dyz_p1_p2_p2 = t28663+t28720+(t29685*t29715+t29686*x)*t30360+t29269 ++t29266+t27976+t28722+t29745+t30369+t30516+t30631; + coeff_dyz_p2_p2_p2 = t29206+t29000+(t29692*t29713+t29649)*t30349+((t29649 ++t29692*t29716)*t29714+(t29687*t29714+t29577*x+t29574*t29715)*z)*y+t28295+ +t29893+t28089+t28107+t30519+t30535+t30572+t30593+t30606+t30607; + coeff_dyz_p3_p2_p2 = t29577*t30301+t27965+t28795+t28926+t30162+t30441+ +t30455+t30509+t30517+t30577; + coeff_dyz_m2_p3_p2 = t28857+t28547+t28074+t29794+t30143+t30401+t30478; + coeff_dyz_m1_p3_p2 = t28825+t28769+t29790+t28578+t30264+t30469+t30480; + coeff_dyz_0_p3_p2 = t29111+t29683*t30346+(t29643+t29567*t29716)*y+t29792+ +t30398+t30549+t30636; + coeff_dyz_p1_p3_p2 = t28600+t29178+t28943+t29774+t29148+t30100+t30463+ +t30474; + coeff_dyz_p2_p3_p2 = t28945+t29711*t29995+t28066+t28964+t29757+t28421+ +t27948+t29903+t30455; + coeff_dyz_p3_p3_p2 = t28443+t28452+t28436+t28961+(t29498+t30249)*t30335+ +t30034+t30071+t30585; + coeff_dyz_m2_m2_p3 = t28750+y*t29213+t29760+t28752+t28230+t28122+t30211+ +t30485+t30639; + coeff_dyz_m1_m2_p3 = t28747+t28877+t29796+t28556+t30074+t30109+t30460+ +t30646; + coeff_dyz_0_m2_p3 = y*t30108+(t29630*t29713+t29624)*z+t29763+t29820+ +t30126+t30538+t30584; + coeff_dyz_p1_m2_p3 = t29784+t28817+t28271+t29196+t30429+t30470+t30570; + coeff_dyz_p2_m2_p3 = t29077+t28892+t29750+t28173+t30117+t30428+t30440; + coeff_dyz_p3_m2_p3 = t28898+t28782+t28153+(t30232+t29468)*t30349+t29872+ +t30502+t30651; + coeff_dyz_m2_m1_p3 = t29083+t28105+t28862+t28805+t29749+t29901+t30486+ +t30646; + coeff_dyz_m1_m1_p3 = t28327+t29047+t29472*t30001+t28112+t27936+t29067+ +t29824+t30167+t30496+t30503+t30632; + coeff_dyz_0_m1_p3 = t29665*t30303+t29051+(t29668+t29641*t29713)*z+t29788+ +t30403+t30548+t30588; + coeff_dyz_p1_m1_p3 = t28549+t29753+t28995+t30228+t30454+t30481+t30612; + coeff_dyz_p2_m1_p3 = t29166+t29762+t28554+t28164+t30276+t30444+t30456; + coeff_dyz_p3_m1_p3 = t28564+t28758+(t30014+t29499)*t30349+t29805+t30173+ +t30600; + coeff_dyz_m2_0_p3 = t28493+t28517+t29798+t30534+t30538; + coeff_dyz_m1_0_p3 = t28624+t28648+t29778+t30510+t30588; + coeff_dyz_0_0_p3 = t28647+t29920+t29809*t30303+t29780+t30508; + coeff_dyz_p1_0_p3 = t28621+t28598+t29787+t30539+t30567; + coeff_dyz_p2_0_p3 = t28569+t28340+t29751+t30501+t30557; + coeff_dyz_p3_0_p3 = t28522+z*t29074+t29802+t30582; + coeff_dyz_m2_p1_p3 = t29784+t28309+t28758+t28569+t30388+t30435+t30604; + coeff_dyz_m1_p1_p3 = t28621+t29110+t29753+t28694+t28592+t30276+t30432+ +t30493; + coeff_dyz_0_p1_p3 = t29914+t28995+(t29675*t29713+t29705)*z+t29756+t29890+ +t30492+t30567; + coeff_dyz_p1_p1_p3 = t28647+t29046+t29716*t29961+t28648+t29051+t29067+ +t29875+t30407+t30476+t30540; + coeff_dyz_p2_p1_p3 = t29015+t28493+t28497+t29800+t30167+t30413+t30437; + coeff_dyz_p3_p1_p3 = t28862+t29213+(t30241+t29439)*t30349+t29801+t30561+ +t30630; + coeff_dyz_m2_p2_p3 = t28462+t28898+t28860+t28164+t29750+t30401+t30426; + coeff_dyz_m1_p2_p3 = t28669+t28892+t28832+t29779+t30228+t30456+t30469; + coeff_dyz_0_p2_p3 = t29196+t29683*t30303+(t29643+t29567*t29713)*z+t29776+ +t30398+t30511+t30557; + coeff_dyz_p1_p2_p3 = t28939+t28327+t28977+t28679+t28541+t29204+t29800+ +t30473+t30474; + coeff_dyz_p2_p2_p3 = t28750+t28747+t28105+t29711*t30001+t29757+t28509+ +t27936+t29892+t30441; + coeff_dyz_p3_p2_p3 = t28752+t28812+(t30120+t29498)*t30349+t29806+t30507+ +t30585; + coeff_dyz_m2_p3_p3 = t28193+t28479+t29466*t30654+t29804+t30117+t30502; + coeff_dyz_m1_p3_p3 = t28271+t28489+(t30204+t30348)*t30360+t30229+t30563+ +t30590+t30600; + coeff_dyz_0_p3_p3 = t28313+t29919+t28413+(t29649*t29716+(t29339+t29613)*z +)*y+t29802+t30611; + coeff_dyz_p1_p3_p3 = t28570+t28475+t28094+t28571+(t29334+t30304)*t30360+ +t30109+t30623+t30630; + coeff_dyz_p2_p3_p3 = t28436+t28253+t28172+t28203+(t30278+t30350)*t30360+ +t29806+t30211; + coeff_dyz_p3_p3_p3 = t28122+t28044+z*t28857+(t28860+(t30252+t30250)*z)*y+ +t30272; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-dz.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-dz.compute.c new file mode 100644 index 0000000..f241f95 --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-dz.compute.c @@ -0,0 +1,4307 @@ +fp t17230, + t17229, + t17864, + t17607, + t17231, + t17851, + t18189, + t17232, + t18188, + t17848, + t17844, + t17797, + t17577, + t18187, + t17092, + t17233, + t17781, + t17721, + t16925, + t17359, + t18186, + t17740, + t16974, + t16463, + t17048, + t17751, + t16605, + t18185, + t16918, + t17734, + t17429, + t17010, + t17742, + t17604, + t15745, + t18184, + t17782, + t17544, + t17190, + t16396, + t17200, + t17414, + t18183, + t17106, + t17753, + t16726, + t16964, + t17645, + t16468, + t18182, + t17156, + t17652, + t16761, + t17160, + t17736, + t18181, + t17093, + t16890, + t17842, + t17144, + t17862, + t17601, + t16239, + t18180, + t17008, + t17018, + t17519, + t17475, + t18179, + t17041, + t17699, + t16652, + t15663, + t17193, + t17387, + t18178, + t17035, + t17872, + t17583, + t17090, + t16238, + t18177, + t17575, + t17002, + t15882, + t17042, + t18176, + t17157, + t17764, + t16736, + t17155, + t17490, + t16313, + t18175, + t17058, + t17658, + t17674, + t17448, + t16081, + t17880, + t18174, + t16950, + t17419, + t17094, + t17798, + t18173, + t17443, + t16403, + t16989, + t17748, + t17597, + t18172, + t17605, + t17162, + t17803, + t16977, + t18171, + t18170, + t17085, + t16895, + t17180, + t18169, + t17133, + t17214, + t18168, + t16976, + t17518, + t17227, + t17563, + t16350, + t18167, + t17686, + t17064, + t17866, + t16601, + t18166, + t18165, + t16955, + t17809, + t17600, + t17118, + t17534, + t18164, + t17005, + t17196, + t17788, + t18163, + t17185, + t16678, + t17186, + t17672, + t18162, + t18161, + t17070, + t17799, + t17566, + t15638, + t17121, + t17471, + t18160, + t16993, + t17149, + t17646, + t17523, + t16178, + 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t16203, + t16201, + t16200, + t16192, + t16190, + t16176, + t16174, + t16172, + t16167, + t16165, + t16164, + t16163, + t16161, + t16158, + t16157, + t16152, + t16147, + t16143, + t16135, + t16133, + t16118, + t16107, + t16106, + t16102, + t16100, + t16099, + t16095, + t16090, + t16087, + t16086, + t16078, + t16075, + t16068, + t16061, + t16046, + t16044, + t16043, + t16037, + t16034, + t16033, + t16029, + t16027, + t16024, + t16023, + t16001, + t16000, + t15997, + t15992, + t15987, + t15978, + t15976, + t15967, + t15966, + t15961, + t15959, + t15955, + t15938, + t15929, + t15927, + t15916, + t15909, + t15905, + t15902, + t15897, + t15896, + t15893, + t15886, + t15883, + t15875, + t15870, + t15863, + t15862, + t15859, + t15849, + t15841, + t15839, + t15838, + t15837, + t15836, + t15835, + t15832, + t15828, + t15825, + t15824, + t15815, + t15808, + t15803, + t15797, + t15792, + t15786, + t15784, + t15775, + t15767, + t15766, + t15763, + t15761, + t15760, + t15759, + t15757, + t15751, + t15750, + t15749, + t15747, + t15746, + t15734, + t15730, + t15729, + t15728, + t15720, + t15717, + t15713, + t15706, + t15703, + t15694, + t15686, + t15683, + t15682, + t15669, + t15667, + t15664, + t15662, + t15659, + t15648, + t15641, + t15635, + t15630, + t15629, + t15623, + t15619, + t15614, + t15610, + t15605, + t15604, + t15601, + t15597, + t15592, + t15590, + t15589, + t15586, + t15584, + t15578, + t15577, + t15573, + t15571, + t15566, + t15563, + t15544, + t15534, + t15529, + t15528, + t15517, + t15514, + t15510, + t15506, + t15503, + t15500, + t15490, + t15488, + t15487, + t15482, + t15479, + t15475, + t15474, + t15467, + t15461, + t15450, + t15448, + t15444, + t15440, + t15438, + t15432, + t15428, + t15420, + t15419, + t15416, + t15414, + t15408; + t17230 = y*y; + t17229 = y*t17230; + t17864 = t17229+y; + t17607 = z*t17864; + t17231 = x*x; + t17851 = t17231*z; + t18189 = t17851*t17864; + t17232 = t17231*x; + t18188 = x+t17232; + t17848 = t17231*y; + t17844 = z*t17848; + t17797 = t17231*t17229; + t17577 = z*t17797; + t18187 = t17844+t17577; + t17092 = RATIONAL(7.0,48.0); + t17233 = z*z; + t17781 = t17092*t17233; + t17721 = t17230*t17233; + t16925 = RATIONAL(-49.0,144.0); + t17359 = t16925*t17721; + t18186 = t17359+t17781; + t17740 = t17232*t17229; + t16974 = RATIONAL(1.0,1728.0); + t16463 = t16974*t17740; + t17048 = RATIONAL(-1.0,864.0); + t17751 = t17048*t17232; + t16605 = t17230*t17751; + t18185 = t16463+t16605; + t16918 = RATIONAL(245.0,192.0); + t17734 = t17231*t17233; + t17429 = t17229*t17734; + t17010 = RATIONAL(-49.0,72.0); + t17742 = t17229*t17233; + t17604 = x*t17742; + t15745 = t17010*t17604; + t18184 = t16918*t17429+t15745; + t17782 = t17232*t17233; + t17544 = y*t17782; + t17190 = RATIONAL(4.0,9.0); + t16396 = t17190*t17544; + t17200 = RATIONAL(-5.0,9.0); + t17414 = t17200*t17734; + t18183 = t16396+y*t17414; + t17106 = RATIONAL(7.0,36.0); + t17753 = t17106*t17229; + t16726 = t17231*t17753; + t16964 = RATIONAL(-49.0,216.0); + t17645 = t17232*t16964; + t16468 = t17229*t17645; + t18182 = t16726+t16468; + t17156 = RATIONAL(2.0,27.0); + t17652 = t17156*t17229; + t16761 = x*t17652; + t17160 = RATIONAL(-5.0,54.0); + t17736 = t17230*t17160; + t18181 = t16761+x*t17736; + t17093 = RATIONAL(1.0,18.0); + t16890 = t17093*y; + t17842 = z*t16890; + t17144 = RATIONAL(-7.0,72.0); + t17862 = x*t17233; + t17601 = t17144*t17862; + t16239 = y*t17601; + t18180 = t16239+x*t17842; + t17008 = RATIONAL(-1.0,576.0); + t17018 = RATIONAL(1.0,432.0); + t17519 = t17018*t17851; + t17475 = t17232*t17721; + t18179 = t17008*t17475+t17229*t17519; + t17041 = RATIONAL(14.0,27.0); + t17699 = t17041*t17229; + t16652 = t17232*t17699; + t15663 = z*t16652; + t17193 = RATIONAL(-7.0,9.0); + t17387 = t17231*t17721; + t18178 = t15663+t17193*t17387; + t17035 = RATIONAL(5.0,108.0); + t17872 = z*t17230; + t17583 = t17035*t17872; + t17090 = RATIONAL(-1.0,36.0); + t16238 = t17090*t17429; + t18177 = t16238+t17232*t17583; + t17575 = z*t17740; + t17002 = RATIONAL(7.0,864.0); + t15882 = t17002*t17575; + t17042 = RATIONAL(-5.0,192.0); + t18176 = t17042*t17387+t15882; + t17157 = RATIONAL(5.0,18.0); + t17764 = t17230*t17157; + t16736 = z*t17764; + t17155 = RATIONAL(-7.0,36.0); + t17490 = t17155*t17782; + t16313 = t17229*t17490; + t18175 = t16313+t17231*t16736; + t17058 = RATIONAL(-7.0,216.0); + t17658 = t17231*t17058; + t17674 = t17093*t17230; + t17448 = t17233*t17674; + t16081 = t17232*t17448; + t17880 = y*z; + t18174 = t16081+t17658*t17880; + t16950 = RATIONAL(49.0,144.0); + t17419 = t16950*t17734; + t17094 = RATIONAL(-7.0,48.0); + t17798 = t17094*t17233; + t18173 = (t17798+t17419)*y; + t17443 = t17190*t17742; + t16403 = t17232*t17443; + t16989 = RATIONAL(-49.0,27.0); + t17748 = t17231*t17230; + t17597 = z*t17748; + t18172 = t16989*t17597+t16403; + t17605 = x*t17721; + t17162 = RATIONAL(1.0,48.0); + t17803 = t17162*t17233; + t16977 = RATIONAL(-7.0,144.0); + t18171 = t16977*t17605+x*t17803; + t18170 = t17162*t17742+t16977*t17429; + t17085 = RATIONAL(-1.0,18.0); + t16895 = t17085*t17229; + t17180 = RATIONAL(7.0,54.0); + t18169 = t16895+t17180*t17797; + t17133 = RATIONAL(49.0,9.0); + t17214 = RATIONAL(-7.0,3.0); + t18168 = t17214*t17782+t17133*t17475; + t16976 = RATIONAL(35.0,18.0); + t17518 = y*t17734; + t17227 = RATIONAL(7.0,9.0); + t17563 = t17227*t17862; + t16350 = y*t17563; + t18167 = t16976*t17518+t16350; + t17686 = t17231*t17090; + t17064 = RATIONAL(7.0,216.0); + t17866 = y*t17064; + t16601 = t17232*t17866; + t18166 = y*t17686+t16601; + t18165 = t16977*t17518+y*t17803; + t16955 = RATIONAL(245.0,72.0); + t17809 = t17232*t17230; + t17600 = z*t17809; + t17118 = RATIONAL(35.0,9.0); + t17534 = t17118*t17872; + t18164 = t16955*t17600+x*t17534; + t17005 = RATIONAL(-49.0,18.0); + t17196 = RATIONAL(7.0,6.0); + t17788 = t17196*t17233; + t18163 = x*t17788+t17005*t17605; + t17185 = RATIONAL(4.0,27.0); + t16678 = t17185*t17740; + t17186 = RATIONAL(-5.0,27.0); + t17672 = t17186*t17230; + t18162 = t16678+t17232*t17672; + t18161 = RATIONAL(-140.0,9.0)*t17387+RATIONAL(224.0,27.0)*t17575; + t17070 = RATIONAL(1.0,576.0); + t17799 = t17070*t17233; + t17566 = x*t17799; + t15638 = y*t17566; + t17121 = RATIONAL(1.0,96.0); + t17471 = t17121*t17721; + t18160 = t15638+x*t17471; + t16993 = RATIONAL(35.0,48.0); + t17149 = RATIONAL(-7.0,54.0); + t17646 = t17229*t17149; + t17523 = z*t17646; + t16178 = t17232*t17523; + t18159 = t16993*t17387+t16178; + t17224 = RATIONAL(7.0,3.0); + t17711 = t17224*t17233; + t17173 = RATIONAL(-49.0,9.0); + t18158 = t17229*t17711+t17173*t17429; + t17003 = RATIONAL(56.0,27.0); + t17194 = RATIONAL(-8.0,9.0); + t16907 = t17194*t17232; + t18157 = t17003*t17809+t16907; + t16988 = RATIONAL(-5.0,288.0); + t17868 = z*t17232; + t17564 = t16988*t17868; + t17029 = RATIONAL(7.0,576.0); + t17410 = t17029*t17742; + t15840 = t17231*t17410; + t18156 = t17230*t17564+t15840; + t17881 = x*z; + t17838 = t17186*t17881; + t17225 = RATIONAL(2.0,9.0); + t17520 = t17225*t17862; + t16392 = y*t17520; + t18155 = y*t17838+t16392; + t17117 = RATIONAL(-2.0,27.0); + t17814 = t17117*t17229; + t16791 = x*t17814; + t17166 = RATIONAL(5.0,54.0); + t17722 = t17166*t17230; + t18154 = x*t17722+t16791; + t16997 = RATIONAL(-98.0,27.0); + t15640 = t16997*t17575; + t18153 = RATIONAL(14.0,3.0)*t17387+t15640; + t17103 = RATIONAL(56.0,9.0); + t17188 = RATIONAL(-8.0,3.0); + t17811 = t17188*t17233; + t18152 = t17103*t17605+x*t17811; + t17719 = t17058*t17229; + t16633 = t17232*t17719; + t17139 = RATIONAL(1.0,36.0); + t18151 = t16633+t17139*t17797; + t17076 = RATIONAL(1.0,288.0); + t18150 = t17076*t17387+t17048*t17575; + t17044 = RATIONAL(1.0,216.0); + t17873 = y*t17044; + t16658 = x*t17873; + t17148 = RATIONAL(5.0,24.0); + t17662 = t17231*t17148; + t17379 = t17230*t17662; + t16287 = z*t17379; + t18149 = t16658+t16287; + t17050 = RATIONAL(-49.0,96.0); + t17679 = RATIONAL(-49.0,576.0)*t17233; + t17470 = t17232*t17679; + t15509 = y*t17470; + t18148 = t17050*t17475+t15509; + t17059 = RATIONAL(7.0,108.0); + t17680 = t17229*t17059; + t16660 = t17231*t17680; + t17558 = t17059*t17851; + t18147 = z*t16660+y*t17558; + t17879 = x*y; + t17820 = t17029*t17233; + t15768 = t17820*t17879; + t17176 = RATIONAL(7.0,96.0); + t17384 = t17176*t17721; + t18146 = t15768+x*t17384; + t16985 = RATIONAL(16.0,27.0); + t17863 = x*t17229; + t16558 = t16985*t17863; + t17089 = RATIONAL(-10.0,9.0); + t17786 = t17089*t17231; + t18145 = t16558+t17229*t17786; + t17418 = t16950*t17721; + t18144 = (t17798+t17418)*x; + t16991 = RATIONAL(-14.0,27.0); + t17859 = z*t17229; + t17533 = t16991*t17859; + t17150 = RATIONAL(-7.0,18.0); + t18143 = t17150*t17851+t17231*t17533; + t17191 = RATIONAL(5.0,9.0); + t17360 = t17191*t17721; + t17723 = t16991*t17232; + t16638 = t17229*t17723; + t15670 = z*t16638; + t18142 = t17231*t17360+t15670; + t17198 = RATIONAL(-2.0,9.0); + t17580 = t17198*t17862; + t16399 = y*t17580; + t17153 = RATIONAL(5.0,27.0); + t17834 = t17153*t17881; + t18141 = t16399+y*t17834; + t17380 = t17070*t17782; + t15626 = t17229*t17380; + t17025 = RATIONAL(-1.0,288.0); + t18140 = t15626+t17025*t17429; + t17080 = RATIONAL(-7.0,288.0); + t17682 = t17080*t17233; + t17395 = t17230*t17682; + t15953 = t17029*t17544; + t18139 = t17232*t17395+t15953; + t17615 = t17230*t17117; + t17159 = RATIONAL(1.0,27.0); + t17738 = t17159*t17229; + t16811 = x*t17738; + t18138 = t16811+x*t17615; + t17637 = t17229*t17044; + t16575 = t17232*t17637; + t17004 = RATIONAL(5.0,216.0); + t17531 = t17004*t17868; + t18137 = t17229*t17531+t16575; + t17091 = RATIONAL(7.0,27.0); + t17857 = y*t17091; + t16702 = t17232*t17857; + t16980 = RATIONAL(35.0,54.0); + t17644 = t16980*t17230; + t16511 = t17232*t17644; + t18136 = t16702+t16511; + t16908 = t17190*x; + t17861 = x*t17230; + t16979 = RATIONAL(-28.0,27.0); + t18135 = t16908+t16979*t17861; + t17816 = t17156*t17232; + t16719 = y*t17816; + t17660 = t17231*t17160; + t18134 = y*t17660+t16719; + t17685 = t17085*t17230; + t16684 = t17232*t17685; + t17743 = t17232*t17139; + t17407 = t17233*t17743; + t16066 = y*t17407; + t18133 = t16066+t17233*t16684; + t16915 = RATIONAL(245.0,144.0); + t17066 = RATIONAL(49.0,72.0); + t15802 = t17066*t17604; + t18132 = t16915*t17429+t15802; + t16452 = t17198*t17544; + t17174 = RATIONAL(5.0,12.0); + t18131 = t16452+t17174*t17475; + t15627 = y*t17380; + t17732 = t17025*t17230; + t16553 = t17232*t17732; + t18130 = t17233*t16553+t15627; + t17878 = z*t17879; + t17168 = RATIONAL(7.0,72.0); + t17555 = t17168*t17862; + t16071 = y*t17555; + t17164 = RATIONAL(-5.0,36.0); + t18129 = t17164*t17878+t16071; + t17065 = RATIONAL(-7.0,108.0); + t17754 = t17065*t17230; + t16630 = t17232*t17754; + t17366 = t17139*t17742; + t16267 = t17231*t17366; + t18128 = t16267+z*t16630; + t16569 = x*t17719; + t17151 = RATIONAL(5.0,72.0); + t17643 = t17151*t17230; + t18127 = x*t17643+t16569; + t17131 = RATIONAL(-40.0,9.0); + t17177 = RATIONAL(32.0,9.0); + t16013 = t17177*t17544; + t18126 = t17131*t17518+t16013; + t17011 = RATIONAL(40.0,27.0); + t17839 = y*t17862; + t17125 = RATIONAL(-16.0,9.0); + t16262 = t17125*t17839; + t18125 = t16262+t17011*t17878; + t17165 = RATIONAL(-1.0,72.0); + t16331 = t17165*t17544; + t16984 = RATIONAL(5.0,192.0); + t17363 = t16984*t17721; + t18124 = t17232*t17363+t16331; + t17529 = z*t17738; + t16338 = t17232*t17529; + t16996 = RATIONAL(-7.0,432.0); + t17609 = t17231*t16996; + t18123 = t16338+t17230*t17609; + t17081 = RATIONAL(-7.0,576.0); + t17745 = t17081*t17233; + t17438 = t17232*t17745; + t15798 = t17230*t17438; + t16982 = RATIONAL(5.0,144.0); + t17665 = t17231*t16982; + t17390 = t17229*t17665; + t18122 = t15798+z*t17390; + t15647 = y*t17438; + t17659 = RATIONAL(-7.0,96.0)*t17233; + t17435 = t17230*t17659; + t18121 = t15647+t17232*t17435; + t17027 = RATIONAL(-7.0,864.0); + t15762 = t17027*t17575; + t18120 = t17121*t17387+t15762; + t17021 = RATIONAL(1.0,864.0); + t17717 = t17021*t17232; + t17877 = y*t17232; + t16932 = RATIONAL(-1.0,1728.0); + t16500 = t16932*t17877; + t18119 = t17230*t17717+t16500; + t17181 = RATIONAL(-7.0,27.0); + t17222 = RATIONAL(1.0,9.0); + t16902 = t17222*t17229; + t18118 = t17181*t17797+t16902; + t17113 = RATIONAL(7.0,18.0); + t17404 = t17113*t17734; + t17217 = RATIONAL(-1.0,6.0); + t17634 = t17217*t17233; + t18117 = (t17634+t17404)*y; + t16987 = RATIONAL(49.0,36.0); + t17695 = t17155*t17230; + t18116 = t16987*t17600+t17695*t17881; + t16270 = t17093*t17429; + t17805 = t17058*t17230; + t18115 = t16270+t17805*t17881; + t17847 = t17048*x; + t16464 = t16974*t17863; + t18114 = t17230*t17847+t16464; + t17876 = t17159*y; + t16695 = t17232*t17876; + t18113 = t17232*t17722+t16695; + t17138 = RATIONAL(-1.0,27.0); + t17812 = t17138*t17229; + t16770 = x*t17812; + t17766 = t17231*t17151; + t18112 = t17229*t17766+t16770; + t17068 = RATIONAL(1.0,144.0); + t16877 = t17068*t17232; + t17574 = z*t16877; + t17355 = t17081*t17734; + t15951 = t17229*t17355; + t18111 = t17230*t17574+t15951; + t17691 = t17091*t17229; + t16802 = x*t17691; + t18110 = t17198*t17861+t16802; + t17163 = RATIONAL(-7.0,24.0); + t16088 = t17180*t17575; + t18109 = t17163*t17387+t16088; + t16520 = t17064*t17809; + t15954 = z*t16520; + t18108 = t16238+t15954; + t16933 = RATIONAL(49.0,576.0); + t15497 = t16933*t17604; + t17854 = z*RATIONAL(-35.0,288.0); + t17536 = t17229*t17854; + t18107 = x*t17536+t15497; + t16916 = RATIONAL(-343.0,144.0); + t17045 = RATIONAL(49.0,48.0); + t18106 = t17045*t17782+t16916*t17475; + t16499 = t16932*t17740; + t17073 = RATIONAL(-1.0,144.0); + t16888 = t17073*t17229; + t17539 = z*t16888; + t18105 = t16499+t17232*t17539; + t17737 = t17230*t17139; + t16739 = x*t17737; + t18104 = t16739+t16569; + t17067 = RATIONAL(-5.0,144.0); + t17368 = t17067*t17734; + t17137 = RATIONAL(1.0,54.0); + t16154 = t17137*t17575; + t18103 = t16154+t17230*t17368; + t17648 = t17229*t17064; + t16611 = x*t17648; + t17126 = RATIONAL(-5.0,72.0); + t17716 = t17126*t17230; + t18102 = x*t17716+t16611; + t17787 = t17090*t17230; + t18101 = x*t17787+t16611; + t17211 = RATIONAL(-4.0,9.0); + t17650 = t17211*t17233; + t17369 = t17232*t17650; + t16389 = y*t17369; + t17381 = t17191*t17734; + t18100 = y*t17381+t16389; + t16986 = RATIONAL(-35.0,27.0); + t17108 = RATIONAL(14.0,9.0); + t16151 = t17108*t17544; + t17840 = y*t17868; + t18099 = t16151+t16986*t17840; + t18098 = t17233*t17379+t16178; + t17189 = RATIONAL(-1.0,9.0); + t16901 = t17189*t17229; + t18097 = t17231*t17691+t16901; + t17205 = RATIONAL(8.0,9.0); + t16909 = t17205*t17229; + t17013 = RATIONAL(-56.0,27.0); + t18096 = t17013*t17797+t16909; + t17000 = RATIONAL(-35.0,54.0); + t17705 = t17000*t17230; + t16525 = t17232*t17705; + t18095 = t16525+t16652; + t17124 = RATIONAL(28.0,9.0); + t18094 = t17224*t17872+t17124*t17600; + t18093 = t17094*t17742+t17229*t17419; + t16462 = t17229*t17580; + t18092 = t16462+t17229*t17834; + t17670 = t17232*t17180; + t16899 = t17085*t17232; + t18091 = t17230*t17670+t16899; + t17167 = RATIONAL(-4.0,27.0); + t17632 = t17229*t17167; + t16757 = t17232*t17632; + t17621 = t17153*t17232; + t18090 = t16757+t17230*t17621; + t17823 = t17117*t17232; + t16744 = y*t17823; + t17700 = t17231*t17166; + t18089 = t16744+y*t17700; + t16995 = RATIONAL(35.0,36.0); + t17128 = RATIONAL(-8.0,27.0); + t17526 = t17128*t17868; + t18088 = t17229*t17526+t16995*t17387; + t17433 = t16933*t17782; + t15532 = y*t17433; + t16962 = RATIONAL(-49.0,288.0); + t18087 = t15532+t16962*t17475; + t18086 = t17113*t17605+x*t17634; + t16949 = RATIONAL(35.0,144.0); + t17708 = t16949*t17233; + t17396 = t17231*t17708; + t16320 = t17229*t17555; + t18085 = t17229*t17396+t16320; + t17183 = RATIONAL(-56.0,9.0); + t17187 = RATIONAL(8.0,3.0); + t17791 = t17187*t17233; + t18084 = x*t17791+t17183*t17605; + t15554 = t17229*t17433; + t18083 = t16962*t17429+t15554; + t17046 = RATIONAL(5.0,432.0); + t17625 = t17046*t17230; + t17049 = RATIONAL(-1.0,108.0); + t16577 = t17049*t17863; + t18082 = t16577+x*t17625; + t16415 = RATIONAL(-49.0,1728.0)*t17740; + t16952 = RATIONAL(35.0,576.0); + t18081 = t16952*t17809+t16415; + t17696 = t17230*t17200; + t17383 = t17233*t17696; + t18080 = t16452+t17232*t17383; + t17718 = t17231*t16980; + t16640 = t17229*t17718; + t18079 = z*t16640+t17230*t17369; + t17869 = y*t17058; + t16540 = t17232*t17869; + t18078 = t16540+y*t17766; + t16924 = RATIONAL(-7.0,1728.0); + t17780 = t17232*t16924; + t16481 = y*t17780; + t16994 = RATIONAL(5.0,576.0); + t18077 = t16481+t16994*t17848; + t17213 = RATIONAL(1.0,3.0); + t17638 = t17213*t17233; + t18076 = t17232*t17638+t17193*t17475; + t18075 = t17108*t17387+t15670; + t16447 = t17229*t17369; + t17023 = RATIONAL(25.0,54.0); + t18074 = t16447+t17023*t17597; + t17028 = RATIONAL(98.0,27.0); + t15723 = t17028*t17575; + t18073 = t15723+RATIONAL(-35.0,3.0)*t17387; + t16377 = x*t17443; + t18072 = x*t17383+t16377; + t15617 = t17066*t17544; + t17105 = RATIONAL(-7.0,12.0); + t18071 = t15617+t17105*t17518; + t17134 = RATIONAL(5.0,36.0); + t17832 = t17134*t17880; + t18070 = t16239+x*t17832; + t17219 = RATIONAL(-7.0,6.0); + t16017 = y*t17490; + t18069 = t17219*t17475+t16017; + t17573 = x*t17745; + t15884 = y*t17573; + t17055 = RATIONAL(5.0,288.0); + t17858 = z*t17055; + t17830 = x*t17858; + t18068 = y*t17830+t15884; + t17367 = t16977*t17809; + t18067 = t17233*t17367+t17162*t17782; + t18066 = t17144*t17387+t16154; + t16519 = RATIONAL(32.0,27.0)*t17740; + t16978 = RATIONAL(-40.0,27.0); + t18065 = t16519+t16978*t17809; + t17019 = RATIONAL(-16.0,27.0); + t16627 = t17019*t17877; + t17014 = RATIONAL(20.0,27.0); + t18064 = t16627+t17014*t17848; + t16599 = t17004*t17748; + t17671 = t17090*t17233; + t17478 = t17232*t17671; + t16089 = t17229*t17478; + t18063 = t16089+z*t16599; + t17146 = RATIONAL(-10.0,3.0); + t17141 = RATIONAL(16.0,9.0); + t16185 = t17141*t17839; + t18062 = t16185+t17146*t17518; + t15748 = t17010*t17544; + t17107 = RATIONAL(7.0,12.0); + t18061 = t15748+t17107*t17518; + t16894 = t17085*x; + t18060 = t16071+t16894*t17880; + t16691 = t17232*t17652; + t18059 = t16691+t17232*t17736; + t17498 = t17233*t17740; + t15418 = RATIONAL(-343.0,576.0)*t17498; + t18058 = RATIONAL(5.0,8.0)*t17597+t15418; + t17693 = t17134*t17230; + t16745 = t17232*t17693; + t16155 = t17155*t17429; + t18057 = t16155+z*t16745; + t18056 = t16916*t17429+t17045*t17742; + t17082 = RATIONAL(35.0,72.0); + t17633 = t17230*t17082; + t16523 = t17232*t17633; + t18055 = z*t16523+t16155; + t17710 = t17230*t16949; + t17370 = t17232*t17710; + t16329 = t17168*t17544; + t18054 = t17233*t17370+t16329; + t16965 = RATIONAL(49.0,216.0); + t17639 = t17232*t16965; + t16495 = t17229*t17639; + t16778 = t17232*t17695; + t18053 = t16495+t16778; + t15470 = z*t16495; + t18052 = t17217*t17387+t15470; + t17874 = t17049*y; + t16659 = t17232*t17874; + t18051 = t17046*t17848+t16659; + t17178 = RATIONAL(16.0,3.0); + t17078 = RATIONAL(-112.0,9.0); + t18050 = t17078*t17475+t17178*t17782; + t18049 = t16540+t17139*t17848; + t17602 = x*t17650; + t16372 = t17229*t17602; + t18048 = t16372+x*t17360; + t15926 = x*t17410; + t18047 = t17042*t17605+t15926; + t17147 = RATIONAL(1.0,72.0); + t16328 = t17147*t17544; + t16257 = t17090*t17518; + t18046 = t16328+t16257; + t17589 = x*t17671; + t16048 = y*t17589; + t17831 = t17004*t17881; + t18045 = t16048+y*t17831; + t16162 = t17164*t17844; + t18044 = t16162+t17231*t17536; + t17372 = t17231*t17650; + t18043 = z*t16511+t17229*t17372; + t18042 = y*t17788+t17005*t17518; + t17171 = RATIONAL(-5.0,24.0); + t16457 = t17222*t17839; + t18041 = t16457+t17171*t17605; + t17039 = RATIONAL(-5.0,216.0); + t17865 = z*t17039; + t17584 = t17232*t17865; + t18040 = t16267+t17230*t17584; + t17056 = RATIONAL(-1.0,216.0); + t17849 = x*t17056; + t16594 = t17229*t17849; + t16992 = RATIONAL(1.0,108.0); + t18039 = t16594+t16992*t17861; + t17210 = RATIONAL(1.0,6.0); + t17641 = t17230*t17210; + t17357 = t17233*t17641; + t18038 = t16066+t17232*t17357; + t17870 = y*t17138; + t16717 = x*t17870; + t18037 = t16717+RATIONAL(-25.0,16.0)*t17597; + t18036 = t17113*t17475+t16017; + t17006 = RATIONAL(-49.0,36.0); + t15810 = t17006*t17498; + t18035 = RATIONAL(125.0,24.0)*t17597+t15810; + t17033 = RATIONAL(7.0,288.0); + t17424 = t17033*t17721; + t18034 = t15647+t17232*t17424; + t16960 = RATIONAL(-49.0,432.0); + t16442 = RATIONAL(49.0,1728.0)*t17740; + t18033 = t16960*t17575+t16442; + t17393 = t17081*t17742; + t15945 = x*t17393; + t18032 = t15945+t17033*t17429; + t16782 = t17117*t17740; + t18031 = t17157*t17575+t16782; + t16940 = RATIONAL(-35.0,192.0); + t18030 = t16940*t17475+t16329; + t17223 = RATIONAL(5.0,6.0); + t17595 = t17223*t17872; + t18029 = t17231*t17595+t15810; + t18028 = t17193*t17429+t17229*t17638; + t17209 = RATIONAL(-1.0,3.0); + t18027 = t17209*t17782+t17227*t17475; + t17664 = t17231*t17082; + t16527 = t17229*t17664; + t17451 = t17233*t17695; + t16197 = t17232*t17451; + t18026 = z*t16527+t16197; + t16104 = t17106*t17429; + t18025 = z*t16778+t16104; + t17628 = t17229*t16924; + t16498 = x*t17628; + t17845 = x*t17859; + t17024 = RATIONAL(7.0,432.0); + t18024 = t16498+t17024*t17845; + t17630 = t17065*t17229; + t16549 = t17231*t17630; + t16187 = t17230*t17407; + t18023 = t16187+z*t16549; + t17606 = z*t18188; + t18022 = t17205*t17429+t17705*t17881+z*t16525; + t16741 = t17230*t17700; + t18021 = t16658+z*t16741+t16089; + t16963 = RATIONAL(-245.0,54.0); + t18020 = t17718*t17880+t16963*t17577+t17187*t17475; + t16957 = RATIONAL(35.0,192.0); + t15520 = t16957*t17429; + t17707 = t17164*t17230; + t16070 = t17707*t17881; + t17590 = t17232*t17854; + t18019 = t17230*t17590+t15520+t16070; + t17829 = z*t17861; + t17102 = RATIONAL(-35.0,9.0); + t16222 = t17102*t17429; + t17112 = RATIONAL(70.0,9.0); + t18018 = t16222+t17112*t17600+t17102*t17829; + t17031 = RATIONAL(-35.0,18.0); + t15868 = t17031*t17575; + t18017 = t15868+t16976*t17748+RATIONAL(245.0,48.0)*t17387; + t17783 = t17085*t17231; + t17552 = z*t16902; + t16973 = RATIONAL(-35.0,144.0); + t17421 = t16973*t17721; + t15535 = t17232*t17421; + t18016 = t17231*t17552+t17783*t17880+t15535; + t15794 = t16976*t17575; + t18015 = t17193*t17748+t15794+RATIONAL(-49.0,24.0)*t17387; + t18014 = t16963*t17600+t17187*t17429+t17644*t17881; + t16420 = t17227*t17575; + t18013 = t17231*t17710+t16420+RATIONAL(-245.0,48.0)*t17387; + t16981 = RATIONAL(-35.0,72.0); + t17690 = t16981*t17230; + t17567 = z*t17690; + t16608 = t17232*t17690; + t16169 = t17229*t17404; + t18012 = x*t17567+z*t16608+t16169; + t17079 = RATIONAL(10.0,27.0); + t17867 = z*t17079; + t17540 = t17232*t17867; + t15568 = t17229*t17540; + t18011 = t15568+t16741+t17231*t17383; + t17182 = RATIONAL(-5.0,18.0); + t16193 = t17182*t17575; + t18010 = t16950*t17387+t17180*t17748+t16193; + t17617 = t17231*t17076; + t17071 = RATIONAL(7.0,144.0); + t15861 = t17071*t17575; + t17376 = t17231*t17659; + t18009 = t15861+(t17617+t17376)*t17230; + t17123 = RATIONAL(-14.0,9.0); + t17733 = t17091*t17230; + t18008 = t15568+t17123*t17387+t17231*t17733; + t16971 = RATIONAL(245.0,54.0); + t16956 = RATIONAL(140.0,27.0); + t17170 = RATIONAL(-20.0,3.0); + t18007 = t16956*t17844+t16971*t17577+t17170*t17475; + t17727 = t17231*t17021; + t17385 = t17231*t17682; + t16881 = t17068*t17229; + t17522 = z*t16881; + t18006 = t17232*t17522+(t17727+t17385)*t17230; + t17001 = RATIONAL(70.0,27.0); + t18005 = t17001*t17748+t17131*t17575+RATIONAL(245.0,36.0)*t17387; + t17037 = RATIONAL(35.0,12.0); + t15850 = t17037*t17475; + t18004 = t17006*t17577+t15850+t17123*t17844; + t15716 = t16977*t17575; + t17043 = RATIONAL(-5.0,576.0); + t17684 = t17043*t17230; + t18003 = t17231*t17684+t16957*t17387+t15716; + t15570 = t17001*t17575; + t17184 = RATIONAL(-14.0,3.0); + t18002 = t17227*t17748+t15570+t17184*t17387; + t17100 = RATIONAL(7.0,24.0); + t16301 = t17181*t17575; + t18001 = t17168*t17748+t16301+t17100*t17387; + t17538 = t17041*t17872; + t16446 = t17229*t17381; + t18000 = t16979*t17600+t16446+x*t17538; + t17657 = t16996*t17232; + t16628 = t17230*t17657; + t17999 = t17018*t17829+t17121*t17429+z*t16628; + t17651 = t17231*t17024; + t16576 = t17229*t17651; + t17841 = t17137*t17880; + t17998 = t17231*t17841+z*t16576+t17042*t17475; + t17136 = RATIONAL(-28.0,9.0); + t16120 = t17118*t17429; + t17997 = t16120+t17108*t17829+t17136*t17600; + t17681 = t17106*t17230; + t17578 = x*t17681; + t16708 = t17232*t17681; + t17358 = t17150*t17734; + t16295 = t17229*t17358; + t17996 = t16295+(t16708+t17578)*z; + t15848 = t17229*t17385; + t17995 = t15848+t18188*t17230*t17858; + t17746 = t17231*t17000; + t16513 = t17229*t17746; + t17559 = z*t17746; + t17994 = y*t17559+t17205*t17475+z*t16513; + t15655 = t17024*t17575; + t17114 = RATIONAL(-1.0,96.0); + t17993 = t17231*t17732+t17114*t17387+t15655; + t17568 = z*t17812; + t16074 = t17232*t17568; + t17992 = t17064*t17748+t17168*t17387+t16074; + t16281 = t17085*t17429; + t17991 = t17230*t17531+t16281+t17004*t17829; + t17875 = t16992*y; + t17546 = t17165*t17862; + t16059 = y*t17546; + t17689 = t16059+t17875*t17881; + t17990 = RATIONAL(-49.0,864.0)*t17575+t17689+RATIONAL(5.0,32.0)*t17387; + t17104 = RATIONAL(-1.0,54.0); + t17989 = t17104*t17829+t17229*t17368+t17159*t17600; + t17761 = t17229*t17134; + t16727 = t17231*t17761; + t16589 = t17230*t17849; + t16668 = x*t17637; + t17610 = t16589+t16668; + t17988 = t17610+z*t16727+t16197; + t16953 = RATIONAL(35.0,216.0); + t15478 = t16953*t17575; + t17120 = RATIONAL(-5.0,12.0); + t17373 = t17120*t17721; + t16725 = t17231*t17643; + t17987 = t15478+t16725+t17231*t17373; + t17400 = t16973*t17734; + t15547 = t17229*t17400; + t17551 = x*t17685; + t16903 = t17222*t17232; + t17596 = z*t16903; + t17986 = t17230*t17596+z*t17551+t15547; + t16433 = t17210*t17429; + t17561 = z*t17645; + t17985 = t17064*t17829+t17230*t17561+t16433; + t16314 = t17091*t17575; + t17052 = RATIONAL(-35.0,48.0); + t17984 = t16973*t17748+t17052*t17387+t16314; + t16619 = t17230*t17658; + t16368 = t17189*t17575; + t17983 = t17066*t17387+t16619+t16368; + t17026 = RATIONAL(-1.0,432.0); + t17618 = t17026*t17230; + t17982 = t17026*t17600+t17618*t17881+t17076*t17429; + t16417 = t17196*t17429; + t16941 = RATIONAL(-245.0,72.0); + t17981 = t16417+t16941*t17600+t17633*t17881; + t16386 = t17229*t17414; + t17075 = RATIONAL(-10.0,27.0); + t17980 = t17014*t17600+t17075*t17829+t16386; + t16340 = t17232*t17552; + t17979 = t17231*t17359+t17230*t17651+t16340; + t17061 = RATIONAL(-70.0,27.0); + t15581 = t17061*t17575; + t17978 = t17031*t17748+t15581+RATIONAL(35.0,3.0)*t17387; + t16439 = t17232*t17360; + t17977 = t16439+t16979*t17577+t17041*t17844; + t16946 = RATIONAL(49.0,108.0); + t16443 = t17217*t17429; + t17976 = t16946*t17600+t16443+t17754*t17881; + t16128 = t17102*t17475; + t17975 = t17102*t17844+t17112*t17577+t16128; + t17694 = t17068*t17230; + t16294 = t17176*t17429; + t17974 = t16294+z*t17367+t17694*t17881; + t16423 = t17193*t17575; + t17973 = t16423+t17144*t17748+RATIONAL(49.0,24.0)*t17387; + t16409 = t17196*t17475; + t17972 = t17664*t17880+t16941*t17577+t16409; + t16673 = t17138*t17848; + t17063 = RATIONAL(-25.0,72.0); + t17553 = t17063*t17872; + t17971 = t16673+t16104+t17232*t17553; + t16771 = t17230*t17686; + t16922 = RATIONAL(-35.0,216.0); + t17537 = t16922*t17859; + t15431 = t17232*t17537; + t17970 = t16771+t17231*t17357+t15431; + t17095 = RATIONAL(-1.0,48.0); + t17969 = t17095*t17387+t17847*t17880+t15882; + t16275 = t17174*t17429; + t17599 = t16922*t17868; + t17968 = t17230*t17599+t16275+t17672*t17881; + t17524 = z*t17639; + t17669 = t17231*t17120; + t17375 = t17233*t17669; + t16253 = t17229*t17375; + t17967 = t16253+t17230*t17524+t17733*t17881; + t17655 = t17231*t17056; + t16651 = y*t17655; + t16666 = t17232*t17873; + t17687 = t16651+t16666; + t17631 = t17230*t16982; + t17364 = t17232*t17631; + t17966 = t17687+t15951+z*t17364; + t17409 = t17230*t17634; + t16421 = t17232*t17409; + t17965 = t16946*t17577+t16421+t17065*t17844; + t17964 = t17061*t17748+RATIONAL(-160.0,27.0)*t17575+RATIONAL(140.0,9.0)* +t17387; + t17047 = RATIONAL(-25.0,48.0); + t17963 = t17047*t17387+t17117*t17878+t16088; + t16316 = t17232*t17373; + t17543 = t16965*t17859; + t17962 = t17231*t17543+t16316+t17091*t17844; + t17087 = RATIONAL(5.0,48.0); + t17647 = t17230*t17044; + t17815 = t16594+x*t17647; + t17961 = t17230*t17470+t17087*t17577+t17815; + t16303 = t17104*t17575; + t17960 = t16303+t17151*t17387+t17689; + t15524 = t17232*t17536; + t17959 = t15524+(t17737+t17384)*t17231; + t16188 = t17150*t17475; + t17958 = t17106*t17844+z*t16726+t16188; + t17957 = t17049*t17748+t17039*t17575+t17093*t17387; + t17397 = t17042*t17734; + t17656 = t17230*t17024; + t16557 = t17232*t17656; + t17729 = t17230*t17137; + t17956 = t17229*t17397+t17729*t17881+z*t16557; + t16928 = RATIONAL(-140.0,27.0); + t17130 = RATIONAL(-80.0,9.0); + t16934 = RATIONAL(280.0,27.0); + t17955 = t16928*t17844+t16934*t17577+t17130*t17475; + t15735 = t17037*t17429; + t17954 = t17006*t17600+t15735+t17123*t17829; + t16937 = RATIONAL(35.0,108.0); + t17953 = RATIONAL(-245.0,36.0)*t17387+t16937*t17748+t17141*t17575; + t16145 = t17124*t17498; + t17111 = RATIONAL(-25.0,9.0); + t17576 = t17111*t17851; + t17952 = t16717+t17230*t17576+t16145; + t16920 = RATIONAL(-35.0,108.0); + t17069 = RATIONAL(-35.0,36.0); + t17951 = t16920*t17748+t16985*t17575+t17069*t17387; + t16103 = t17231*t17832; + t17444 = t17106*t17782; + t16091 = y*t17444; + t17950 = t17069*t17577+t16409+t16103+t16091; + t17703 = t17231*t17043; + t17949 = t17189*t17829+y*t17703+t17144*t17600+t15520; + t16134 = t17693*t17881; + t17856 = z*t17182; + t17591 = t17232*t17856; + t17948 = t17230*t17591+t16134+t18085; + t17161 = RATIONAL(25.0,9.0); + t17145 = RATIONAL(-50.0,9.0); + t16122 = t17118*t17475; + t17009 = RATIONAL(-20.0,27.0); + t17947 = t17161*t17844+t17145*t17577+t17009*t17861+t16122; + t17088 = RATIONAL(-70.0,9.0); + t17109 = RATIONAL(-35.0,6.0); + t17946 = t17109*t17851+t17088*t17577+t18168; + t16333 = t17104*t17878; + t17135 = RATIONAL(-5.0,96.0); + t16967 = RATIONAL(49.0,432.0); + t17945 = t16333+RATIONAL(-5.0,32.0)*t17387+t16967*t17575+t17135*t17748; + t17944 = RATIONAL(25.0,18.0)*t17748+t15570+t16978*t17878+RATIONAL(-25.0, +3.0)*t17387; + t17943 = t17108*t17844+t16151+t16122+t17136*t17577; + t15633 = t17008*t17544; + t17640 = t17076*t17230; + t16622 = t17232*t17640; + t17942 = t15633+t17233*t16622+t17026*t18189; + t16938 = RATIONAL(35.0,288.0); + t15507 = t16938*t17575; + t17833 = t16988*t17881; + t17941 = t15507+t17094*t17387+t17231*t17685+y*t17833; + t17940 = t17230*t17660+t16973*t17387+t18031; + t16625 = t16981*t17797; + t17939 = z*t16625+t16981*t17844+t18036; + t17938 = t18039+t18187*t17067; + t17560 = t16996*t17859; + t15754 = t17232*t17560; + t17853 = z*t17018; + t17835 = x*t17853; + t17937 = t17231*t17694+t17162*t17387+y*t17835+t15754; + t17616 = t17229*t16992; + t16578 = t17232*t17616; + t17936 = t17231*t17625+t16578+t16074+t16982*t17387; + t17935 = t17071*t17577+t17231*t17842+t18030; + t17116 = RATIONAL(5.0,96.0); + t17934 = RATIONAL(-35.0,32.0)*t17387+t17116*t17748+t16950*t17575+t16442; + t17158 = RATIONAL(-16.0,3.0); + t17060 = RATIONAL(112.0,9.0); + t16959 = RATIONAL(-280.0,27.0); + t17933 = t17088*t17851+t17158*t17782+t17060*t17475+t16959*t17577; + t17860 = y*t16974; + t16488 = t17232*t17860; + t17587 = t17165*t17868; + t17932 = t17230*t17587+t16488+t16932*t17848+t15840; + t16972 = RATIONAL(-49.0,108.0); + t17931 = t16972*t17600+t16462+t16275+t16991*t17829; + t17535 = t17230*t17867; + t17930 = t16736+t17232*t17535+t18028; + t17550 = t17075*t17851; + t17929 = t17014*t17577+y*t17550+t18154; + t17007 = RATIONAL(28.0,27.0); + t17928 = t17227*t17872+t17007*t17600+t18028; + t16689 = t17157*t17851; + t17521 = t17079*t17851; + t17927 = t16689+t17229*t17521+t18076; + t16448 = t17229*t17520; + t17556 = t17075*t17868; + t17926 = t17153*t17829+t17230*t17556+t16448+t16446; + t17624 = t17231*t17055; + t17925 = t18139+t17624*t17607; + t17675 = t17147*t17230; + t17541 = x*t17675; + t17557 = z*t17675; + t17924 = y*t17727+t17232*t17557+z*t17541+t15848; + t17554 = t16988*t17851; + t17923 = t16938*t17577+y*t17554+t18121; + t17922 = t17010*t17387+t17181*t17748+t18031; + t16884 = t17073*t17232; + t17588 = z*t16884; + t17706 = t17073*t17230; + t17921 = t17230*t17588+t17706*t17881+t18032; + t16021 = t17177*t17604; + t17920 = t16971*t17600+t16021+t17170*t17429+t16956*t17829; + t17919 = t16972*t17577+t16991*t17844+t18131; + t17110 = RATIONAL(-1.0,12.0); + t16711 = t17110*t17872; + t17918 = t17189*t17600+t16711+t18093; + t17741 = t17231*t17200; + t16146 = t17123*t17604; + t16944 = RATIONAL(-175.0,72.0); + t17917 = y*t17741+t16944*t17600+t16146+t15735+t17111*t17829; + t16618 = x*t17640; + t17525 = t17165*t17851; + t17916 = t16618+t17168*t17577+y*t17525+t18121; + t17731 = t17191*t17230; + t17030 = RATIONAL(35.0,24.0); + t17362 = t17030*t17734; + t17915 = t17230*t17362+t15868+t17231*t17731+t18129; + t16588 = t17232*t17630; + t17914 = t16588+t16423+RATIONAL(175.0,48.0)*t17387+RATIONAL(-25.0,144.0)* +t17748+t16908*t17880; + t17122 = RATIONAL(10.0,9.0); + t17779 = t17122*t17231; + t17572 = t16995*t17859; + t17077 = RATIONAL(-35.0,12.0); + t15744 = t17077*t17475; + t17913 = t17231*t17572+t17779*t17880+t15744+t18102; + t17785 = t17049*t17230; + t16657 = x*t17785; + t17040 = RATIONAL(-5.0,108.0); + t16080 = y*t17478; + t17912 = t16657+t16081+t16080+t18187*t17040; + t17911 = RATIONAL(-175.0,48.0)*t17387+RATIONAL(-25.0,18.0)*t17748+t16638+ +t17089*t17878+t15794; + t17910 = t17174*t17748+RATIONAL(35.0,32.0)*t17387+RATIONAL(-245.0,288.0)* +t17575+t18070; + t16663 = t17230*t17624; + t17909 = t16663+t15861+RATIONAL(-35.0,96.0)*t17387+t18180; + t17204 = RATIONAL(5.0,2.0); + t17908 = t17230*t17669+t17204*t17387+RATIONAL(-245.0,216.0)*t17575+t18141 +; + t17714 = t17156*t17230; + t17072 = RATIONAL(25.0,72.0); + t17579 = t17072*t17851; + t17907 = t17072*t17577+y*t17579+x*t17714+t16188+t16091; + t16534 = t17049*t17848; + t16923 = RATIONAL(49.0,288.0); + t17097 = RATIONAL(-5.0,48.0); + t17570 = t17097*t17872; + t17403 = t17229*t17679; + t15464 = x*t17403; + t17906 = t16534+t16923*t17429+t15464+t18188*t17570; + t17220 = RATIONAL(5.0,3.0); + t17192 = RATIONAL(-5.0,6.0); + t16914 = RATIONAL(-245.0,144.0); + t17905 = t17220*t17577+t17192*t17844+t16914*t17475+t18154; + t16913 = RATIONAL(-245.0,192.0); + t17904 = t16993*t17577+t16913*t17475+t17223*t17844+t18127; + t17629 = t17231*t17153; + t17903 = t17230*t17629+t16193+t17082*t17387+t18070; + t16926 = RATIONAL(175.0,72.0); + t17902 = t17225*t17861+t16926*t17577+t17063*t17844+t18069; + t17598 = t17087*t17872; + t17015 = RATIONAL(49.0,96.0); + t17901 = t17052*t17600+t17015*t17429+x*t17598+t18166; + t17542 = x*t17631; + t17900 = t16294+t16973*t17600+z*t17542+t18049; + t17899 = RATIONAL(35.0,96.0)*t17387+t17231*t17693+t15524+t18129; + t17361 = t17067*t17809; + t17614 = t17231*t16992; + t16617 = y*t17614; + t17548 = t17067*t17872; + t17898 = x*t17548+z*t17361+t16617+t18032; + t16882 = t17068*y; + t17843 = z*t16882; + t16581 = t17231*t17706; + t16485 = t17232*t17628; + t17897 = t15716+t16581+t16485+t17092*t17387+x*t17843+t15884; + t17098 = RATIONAL(20.0,9.0); + t17701 = t17089*t17230; + t17896 = t16222+t17701*t17881+t17098*t17600+t16146+t18134; + t17545 = t17098*t17859; + t16208 = t17123*t17544; + t17895 = t16208+t16128+t17231*t17545+t17786*t17880+t18181; + t16454 = t17225*t17544; + t17894 = t16937*t17577+t16454+t16316+y*t17521+t18127; + t16706 = t17231*t17707; + t17893 = t16633+t16706+t17223*t17387+t15431+t18155; + t17661 = t17232*t17059; + t16573 = t17229*t17661; + t17668 = t17189*t17233; + t16451 = t17668*t17879; + t17892 = t16573+t17185*t17878+RATIONAL(25.0,48.0)*t17387+t16451+t16301+ +RATIONAL(25.0,144.0)*t17748; + t17692 = t17231*t17039; + t16664 = t17049*t17740; + t17565 = t17147*t17862; + t16335 = y*t17565; + t17891 = t16333+t17126*t17387+t16664+t17230*t17692+t16338+t16335; + t16173 = t17106*t17604; + t17571 = t17069*t17868; + t17890 = t17230*t17571+t16417+t16173+t16134+t18049; + t16712 = t17232*t17707; + t16170 = t17155*t17604; + t17663 = t17056*t17232; + t16515 = y*t17663; + t17889 = t16170+t16617+t16515+t16169+t16070+z*t16712; + t16990 = RATIONAL(-5.0,432.0); + t17795 = t16990*t17230; + t16634 = x*t17616; + t17888 = x*t17795+t17198*t17577+t16634+t17222*t17844+t18054; + t16309 = t17144*t17544; + t17887 = t16309+t17191*t17577+t17182*t17844+t15535+t18181; + t17886 = y*t16689+t16949*t17577+t18030+t18102; + t17885 = t16920*t17577+t17035*t17844+t18038+t18101; + t16282 = x*t17366; + t17884 = t16282+x*t17583+t16433+t16920*t17600+t18166; + t17792 = t17231*t16990; + t17676 = t17232*t16992; + t16563 = y*t17676; + t17883 = y*t17792+t16563+t17198*t17600+t17222*t17829+t18085; + t17724 = t17229*t17164; + t16819 = t17231*t17724; + t17882 = t16162+z*t16819+t18036+t18039; + t16905 = t17211*x; + t16887 = t17073*x; + t17871 = t17049*x; + t17855 = x*t16932; + t17852 = x*t17181; + t17129 = RATIONAL(25.0,6.0); + t17850 = z*t17129; + t17846 = y*t17156; + t17837 = x*t17865; + t17836 = z*t17866; + t17828 = t17026*t17880; + t16299 = t17229*t17601; + t17827 = t16299+t17230*t17555; + t16141 = t17136*t17498; + t16009 = t17231*t17534; + t17826 = t16141+t16009; + t17825 = t16313+t17230*t17579; + t16298 = t17229*t17444; + t17824 = z*t16468+t16298; + t16911 = t17189*t17232; + t17822 = x*t17543+t16170; + t16621 = t17232*t17805; + t15919 = z*t16621; + t17715 = t17137*t17229; + t16052 = t17715*t17881; + t17821 = t15919+t16052; + t16883 = t16977*t17232; + t16278 = t17229*t17589; + t17819 = t16278+z*t16611; + t16904 = t17205*t17232; + t17818 = t17230*t17558+t16089; + t17626 = t17230*t16932; + t17817 = t16463+t17232*t17626; + t16891 = t17093*t17229; + t16886 = t16977*t17229; + t16880 = t17071*t17229; + t17813 = t17209*t17233; + t16892 = t17150*t17229; + t16583 = t17044*t17848; + t17810 = t16583+t16515; + t17808 = t17104*t17229; + t16935 = RATIONAL(7.0,1728.0); + t17612 = t17232*t16935; + t17807 = t17230*t17612+t16485; + t17623 = t17181*t17232; + t16683 = y*t17623; + t17806 = t16454+z*t16683; + t17758 = t16935*t17229; + t17804 = t16485+t17231*t17758; + t17802 = t17037*t17597+t15810; + t17801 = t16309+t17168*t17518; + t16517 = t17229*t17663; + t17800 = t17232*t17647+t16517; + t17549 = t16995*t17872; + t15936 = t17231*t17549; + t17796 = t16313+t15936; + t16998 = RATIONAL(49.0,27.0); + t17794 = t16998*t17840+t16208; + t16097 = t17139*t17839; + t17793 = t17869*t17881+t16097; + t17790 = t17155*t17231; + t16676 = t17232*t17870; + t17789 = t16676+t17159*t17848; + t17784 = t17185*t17229; + t17778 = t17231*t16974; + t17777 = t17027*t17229; + t16896 = t17113*t17232; + t16893 = t17150*t17232; + t16889 = t17093*t17232; + t17402 = t17230*t17671; + t16189 = t17232*t17402; + t16073 = t17232*t17366; + t17776 = t16189+t16073; + t16885 = t17071*t17232; + t17775 = t16451+t17846*t17881; + t17774 = t17219*t17233; + t16550 = t17229*t17614; + t15887 = t16977*t17387; + t17773 = t16550+t15887; + t17772 = z*t16706+t16298; + t17771 = t17104*t17232; + t17770 = t17027*t17232; + t17769 = t17021*t17230; + t17768 = t17048*t17229; + t17767 = t17232*t17185; + t17765 = t17852*t17880+t16392; + t17763 = t17137*t17232; + t16339 = x*t17402; + t17762 = t16339+t16282; + t16131 = t17106*t17597; + t17760 = t16313+t16131; + t17759 = t17231*t17025; + t17757 = t16173+t16964*t17845; + t17756 = t16399+t17857*t17881; + t16975 = RATIONAL(49.0,54.0); + t17755 = t16975*t17230; + t17603 = t17008*t17862; + t15756 = t17229*t17603; + t17752 = t17230*t17566+t15756; + t17750 = t17095*t17233; + t16156 = t17108*t17604; + t17749 = t16989*t17845+t16156; + t17747 = t16080+z*t16601; + t17744 = t17231*t17104; + t15877 = t17232*t17393; + t17428 = t17029*t17721; + t17739 = t15877+t17232*t17428; + t17735 = t17230*t17573+t15926; + t17730 = t17229+t17232; + t17728 = RATIONAL(-49.0,48.0)*t17233; + t17726 = t17231*t17186; + t15826 = t17871*t17880; + t17725 = t15826+t16335; + t16906 = t17194*t17229; + t16898 = t17113*t17229; + t17720 = t17232*t17167; + t16646 = t17232*t17648; + t17713 = t16621+t16646; + t17712 = t17231*t17149; + t17036 = RATIONAL(-49.0,54.0); + t17709 = t17036*t17230; + t17704 = t17122*t17230; + t16049 = t17229*t17546; + t17702 = t16049+z*t16634; + t16504 = t17229*t17855; + t17698 = t16504+t16974*t17861; + t15957 = t17232*t17410; + t17697 = t15957+t17231*t17548; + t16690 = t17229*t17852; + t17688 = z*t16690+t16448; + t17683 = t16146+t16998*t17845; + t15722 = t17008*t17498; + t17678 = t15722+t17021*t17575; + t17677 = t17230*t16994; + t17673 = t16328+t17165*t17518; + t17667 = RATIONAL(1.0,8.0)*t17233; + t16096 = t17229*t17565; + t17666 = t16096+z*t16577; + t16098 = t17808*t17881; + t17654 = t16282+t16098; + t17152 = RATIONAL(1.0,24.0); + t17653 = t17152*t17233; + t17649 = t17210*t17233; + t15632 = t17229*t17566; + t17514 = t17008*t17721; + t17642 = t15632+x*t17514; + t17636 = t17232*t17149; + t17635 = t17231*t17048; + t16112 = t17139*t17518; + t16542 = t17229*t17658; + t15947 = z*t16542; + t17627 = t16112+t15947; + t17622 = y*t17561+t16091; + t17620 = t16988*t17230; + t17619 = RATIONAL(-5.0,16.0)*t17233; + t17613 = t17002*t17229; + t17611 = t17002*t17232; + t17608 = t17231*t17126; + t17593 = t17229*t17856; + t16784 = t17088*t17872; + t16783 = t17150*t17872; + t16808 = t17138*t17861; + t17218 = RATIONAL(-5.0,3.0); + t16828 = t17218*t17872; + t16874 = z*t17696; + t17586 = t17193*t17862; + t17585 = t17182*t17861; + t16559 = x*t17732; + t17582 = z*t17723; + t17581 = t17232*t17853; + t17086 = RATIONAL(8.0,27.0); + t17569 = t17086*t17859; + t17562 = z*t17692; + t17547 = x*t17764; + t17096 = RATIONAL(-20.0,9.0); + t17527 = t17096*t17859; + t17517 = y*t17665; + t17516 = t17231*t17864; + t17515 = t16744+t17085*y+t17180*t17848; + t17115 = RATIONAL(20.0,3.0); + t17388 = t17115*t17734; + t17101 = RATIONAL(-32.0,9.0); + t16032 = t17101*t17604; + t17513 = t16141+t17229*t17388+t16032; + t16522 = t17019*t17863; + t16789 = t17086*t17879; + t17512 = t16522+t16789+t17014*t17861; + t15622 = y*t17603; + t17511 = t17233*t16618+t15622+t15756; + t17510 = t16403+t18080; + t16501 = y*t17855; + t16473 = x*t17758; + t17509 = t16501+t16559+t16473; + t17020 = RATIONAL(49.0,18.0); + t17508 = x*t17774+t17020*t17605+t16146; + t17507 = t17093*x+t16761+t17149*t17861; + t17398 = t17071*t17734; + t17506 = t16080+(t17750+t17398)*y; + t17505 = t16573+t16960*t17797+t16880; + t17504 = t17232*t17709+t16652+t16896; + t17503 = t16298+t18186*t17232; + t17502 = t17231*t17646+t16891+t16691; + t17501 = t17227*t17518+y*t17813+t16389; + t16774 = t17229*t17790; + t17500 = t16889+t17230*t17636+t16691; + t17499 = t15877+t18034; + t16687 = t17230*t17712; + t16584 = y*t17849; + t17497 = x*t17841+t16584+t16059; + t17496 = t16678+t16903+t17230*t17623; + t16568 = t17230*t17676; + t17495 = t16568+t16517+t16515; + t17494 = t15945+t17229*t17376+t15554; + t16536 = t17231*t17648; + t16562 = t17229*t17655; + t16567 = t17229*t17609; + t17032 = RATIONAL(-35.0,24.0); + t17493 = t17032*t17518+t15617+t16350; + t16505 = t17229*t17612; + t16502 = y*t17612; + t17492 = t17230*t17770+t16505+t16502; + t17491 = y*t17712+t16719+t16890; + t17489 = t17033*t17809+t16502+t16415; + t17488 = t16877+t16628+t16578; + t17487 = t16573+t16885+t16960*t17809; + t15424 = RATIONAL(343.0,576.0)*t17498; + t17486 = t15424+t17050*t17429+t15464; + t17485 = t15622+t17114*t17605+t15926; + t17484 = t16096+t16668+t16098; + t17483 = t16553+t16505+t16500; + t17482 = t17231*t17618; + t17481 = t16454+(t17358+t17649)*y; + t17480 = t16691+t17229*t17660+t16770; + t17479 = y*t17774+t16208+t17020*t17518; + t17477 = t17227*t17429+t16447+t17209*t17742; + t17074 = RATIONAL(-25.0,36.0); + t17476 = t16717+t17074*t17597+t16298; + t17474 = t16513+t16690+t16652; + t16858 = t17190*t17809; + t17473 = t16173+t18186*x; + t17472 = t16576+t16888+t16664; + t17469 = x*t17750+t17071*t17605+t16278; + t17468 = t16634+t17068*x+t16996*t17861; + t17143 = RATIONAL(1.0,12.0); + t17467 = t17143*t17605+t16335+t16299; + t16535 = RATIONAL(-32.0,27.0)*t17740; + t17466 = t17003*t17797+t16906+t16535; + t17465 = t16145+t18158; + t17464 = t16633+t16666+t17232*t17737; + t17463 = t16664+t16884+t16557; + t17462 = t16892+t16975*t17797+t16638; + t17461 = t17230*t17586+x*t17638+t16377; + t16019 = RATIONAL(64.0,9.0)*t17498; + t17460 = t17178*t17742+t17078*t17429+t16019; + t17459 = y*t17791+t17183*t17518+t16013; + t16580 = t17230*t17661; + t17458 = t16658+t18104; + t17457 = t16588+t16886+t16967*t17797; + t15740 = t17077*t17429; + t15888 = t16987*t17498; + t17456 = t16156+t15740+t15888; + t17455 = t16468+t16690+t16527; + t17454 = t16073+t18133; + t17084 = RATIONAL(80.0,9.0); + t16016 = RATIONAL(-64.0,9.0)*t17498; + t17453 = t17084*t17429+t16021+t16016; + t17452 = t16495+t16702+t16608; + t16790 = x*t17876; + t17450 = t16790+t18089; + t17449 = t15633+t17114*t17475+t15957; + t16685 = t17128*t17879; + t17447 = t17191*t17848+t16685+t16683; + t15545 = t17232*t17403; + t17446 = t17232*t17384+t15545+t15953; + t17445 = t16584+t18060; + t16526 = t17230*t17663; + t17083 = RATIONAL(40.0,9.0); + t16101 = t17101*t17544; + t17442 = t16185+t16101+t17083*t17518; + t17441 = t17011*t17797+t16558+t16535; + t17440 = t17232*t17418+t17094*t17782+t16313; + t17439 = t16898+t16652+t17036*t17797; + t17437 = t16396+y*t17638+t17193*t17518; + t17436 = t17150*t17605+x*t17649+t16448; + t17434 = t17214*t17742+t16141+t17133*t17429; + t17432 = t17230*t16885; + t17431 = t16588+t16883+t16967*t17809; + t17430 = t17232*t17716+t16646+t16695; + t17365 = t16940*t17734; + t17427 = t16320+t17229*t17365+t15554; + t17426 = y*t17608+t16790+t16601; + t17425 = t16462+t16457+t17233*t17547; + t17423 = t17180*t17861+t16894+t16791; + t16642 = t16985*t17877; + t17422 = t16642+t17190*y+t16979*t17848; + t17420 = t16957*t17721; + t17417 = t17232*t17755+t16893+t16638; + t17416 = t17232*t17711+t17173*t17475+t16145; + t17415 = x*t17395+t15768+t15926; + t15549 = t17232*t17420; + t17413 = t16309+t15545+t15549; + t17412 = y*t17781+t16925*t17518+t16091; + t16413 = y*t17586; + t17411 = t15748+y*t17362+t16413; + t17408 = t16567+t16881+t16578; + t17406 = y*t17811+t16101+t17103*t17518; + t17405 = t16925*t17429+t17092*t17742+t16298; + t17401 = t16882+y*t17609+t16563; + t17399 = t16782+t16403+t17229*t17556; + t17394 = t16372+t17230*t17563+x*t17813; + t17392 = t15638+t15632+t17233*t16559; + t17391 = t16413+t16151+t17031*t17518; + t17389 = t16447+t18027; + t17386 = t17115*t17721; + t17382 = t16886*t17881+t16498+t15497; + t16407 = t17219*t17429; + t17378 = t16170+t16407+t15888; + t17377 = t17230*t17708; + t16489 = x*t17860; + t17374 = t16489+y*t17635+t16488; + t17142 = RATIONAL(10.0,3.0); + t17371 = t17142*t17734; + t17356 = t16519+t16904+t17013*t17809; + t17354 = t16757+t16911+t17232*t17733; + t17353 = z*t17516; + t17352 = t17230*t17606; + t17351 = t17222+t17100*t17233; + t17350 = t17174*t17233+t17134; + t17349 = t17089+t17077*t17233; + t17348 = t17803+t17068; + t17347 = RATIONAL(-49.0,12.0)*t17233+t17106; + t17346 = t17087+RATIONAL(5.0,16.0)*t17233; + t17345 = t17164+t17037*t17233; + t17344 = t17813+t17093; + t17172 = RATIONAL(-1.0,24.0); + t17343 = RATIONAL(-1.0,8.0)*t17233+t17172; + t17342 = t17085+t17798; + t17341 = t17155+t17105*t17233; + t17340 = t17213+RATIONAL(7.0,8.0)*t17233; + t17339 = t17781+t17073; + t17338 = t17123+RATIONAL(28.0,3.0)*t17233; + t17337 = t17152+RATIONAL(-7.0,8.0)*t17233; + t17335 = t17147+t17163*t17233; + t17207 = RATIONAL(2.0,3.0); + t17334 = t17189+t17207*t17233; + t17333 = t17097+RATIONAL(35.0,16.0)*t17233; + t17332 = t17108+RATIONAL(49.0,12.0)*t17233; + t17331 = t17209+RATIONAL(2.0,1.0)*t17233; + t17330 = t17709+t17113; + t17329 = RATIONAL(-35.0,16.0)*t17233+t17192; + t17328 = t17223+RATIONAL(-5.0,1.0)*t17233; + t17327 = t17122+t17170*t17233; + t17326 = t17165+t17172*t17233; + t15778 = z*t17482; + t17325 = t15778+t17230*t17581+t17008*t17429+t15626; + t15602 = t17231*t17567; + t17324 = t15602+t17174*t17387+t17824; + t17323 = z*t16646+t17085*t17387+t17818; + t15593 = z*t16619; + t15800 = t17071*t17387; + t17322 = t15593+t16303+t15800+t16073; + t16132 = t17230*t17444; + t17321 = t16132+z*t16774+t17760; + t17320 = t16187+t17229*t17562+t18063; + t15710 = z*t16663; + t17319 = t17229*t17554+t15710+t17739; + t15774 = z*t16581; + t17318 = t15798+t15774+t17231*t17522+t15957; + t15609 = t17230*t17559; + t17317 = t16687+t17227*t17387+t15609+t17399; + t16085 = t17231*t17570; + t17316 = t17231*t17403+t17232*t17598+t16085+t15554+t17810; + t16344 = t17219*t17597; + t17315 = t16344+t17790*t17880+t15888+t16987*t17577+t18069; + t17314 = z*t17662+t15602+t17157*t17577+t17503; + t17313 = t17192*t17387+t15470+t17756+t17796; + t16225 = t17173*t17597; + t17312 = t16225+t17124*t17577+t17224*t17851+t17416; + t15853 = t17040*t17597; + t17311 = t17035*t17577+t15853+t17776+t17815; + t16055 = t17231*t17557; + t17310 = y*t17519+t17232*t17471+t15627+t15877+z*t16567+t16055; + t16264 = t17231*t16783; + t17309 = t17213*t17387+t16264+t16048+x*t17836+t17824; + t17308 = t17182*t17577+t16103+t17825+t18054; + t17307 = t16953*t17600+t16278+t16443+t17039*t17829+t17772; + t17306 = t16462+t17232*t17538+t16403+t16386+t17181*t17829+t15609; + t17305 = RATIONAL(-5.0,2.0)*t17387+RATIONAL(343.0,216.0)*t17575+t17765+ +t17802; + t17304 = t17041*t17577+t15609+t17181*t17844+t17510; + t17303 = t17744*t17880+t15853+t16331+t17231*t17529+t16073+t17233*t17361; + t15533 = RATIONAL(-175.0,24.0)*t17597; + t17302 = t15533+t17118*t17844+t16151+t16955*t17577+t15744+t15888; + t17301 = t17227*t17851+t17007*t17577+t18076+t18172; + t17300 = t15723+t17146*t17387+t17756+t17826; + t17299 = t17116*t17387+t15762+t17697+t17725; + t17298 = t16132+t16811+t17063*t17577+t16808+t17825; + t17297 = t17231*t17836+t16964*t17577+t17760+t18038; + t15525 = RATIONAL(245.0,18.0)*t17597; + t17296 = t17109*t17872+t17232*t16784+t15525+t17434; + t17295 = z*t17686+t17233*t17432+t17232*t17750+t17231*t17568+t17818; + t16271 = t17152*t17597; + t17294 = t16271+t17231*t17843+t16977*t17577+t17446; + t17293 = t17110*t17851+t17189*t17577+t16131+t17440; + t15454 = RATIONAL(-350.0,27.0)*t17597; + t17292 = t16934*t17600+t16928*t17829+t15454+t16032+t17130*t17429+t16019; + t17291 = x*t17626+t17229*t17525+t16464+t16055+t17739; + t17290 = z*t17432+t17674*t17881+t16085+t17427; + t17289 = t17073*t17844+t17231*t17539+t16055+t17499; + t17288 = z*t17787+t17095*t17742+t17138*t17600+t17229*t17398+t17818; + t15445 = RATIONAL(490.0,27.0)*t17597; + t17287 = t17158*t17742+t15445+t16784+t17060*t17429+t16959*t17600+t16016; + t16999 = RATIONAL(35.0,27.0); + t15910 = t16999*t17597; + t17286 = t15663+t16447+t15910+t17089*t17387+t17765; + t15668 = t17044*t17597; + t17285 = t15668+t15722+t17025*t17387+t17018*t17575+t17230*t17635+t16499; + t17284 = t17697+t16505+t15754+(t17363+t17677)*t17231; + t17283 = t15602+t17148*t17872+t17232*t16736+t17405; + t17282 = t17726*t17880+t17231*t17537+t17825+t18131; + t16766 = t17230*t17608; + t17038 = RATIONAL(25.0,96.0); + t15674 = t17038*t17597; + t17281 = t16633+t17230*t17365+t15507+t16766+t15545+t15674; + t15492 = RATIONAL(-175.0,18.0)*t17597; + t17280 = t17003*t17878+t15492+t16262+t15640+t16145+RATIONAL(25.0,3.0)* +t17387; + t17279 = t17229*t17550+t16439+t16454+t17629*t17880+t18074; + t15817 = t16975*t17597; + t17278 = t16783+t17230*t17582+t15817+t17477; + t17277 = t15853+t17454+t17004*t18189; + t16077 = z*t16687; + t17276 = t16282+t17059*t17829+t16281+t16077+t16073+z*t16580; + t17275 = t16664+t17231*t17377+t16368+t16990*t17748+t17772; + t17274 = y*t17562+t16421+t16080+t16953*t17577+t17772; + t17273 = t17620*t17881+t16085+t16938*t17600+t17494; + t17272 = t17229*t17564+t17033*t17387+t17230*t17614+t16575+t17697; + t17271 = t16173+t17231*t17846+t16676+t16295+t17476+t18188*t17072*t17872; + t17270 = t17218*t17851+t17231*t17527+t17423+t17826+t18168; + t17269 = t16828+t16009+t17096*t17600+t17434+t17515; + t17216 = RATIONAL(-5.0,4.0); + t16917 = RATIONAL(343.0,144.0); + t17268 = t17218*t17577+t17216*t17851+t17232*t17728+t16917*t17475+t17507+ +t17802; + t17017 = RATIONAL(-25.0,12.0); + t15707 = t17017*t17597; + t17267 = t17220*t17600+t17192*t17829+t15707+t16914*t17429+t15745+t15888+ +t17450; + t17266 = t17216*t17872+t17229*t17728+t16917*t17429+t17232*t16828+t17491+ +t17802; + t16237 = t17231*t16711; + t17265 = t16489+t16237+t17168*t17600+t17165*t17829+t16481+y*t17617+t17494 +; + t16057 = z*t16725; + t17264 = t16057+t15877+t17231*t17620+t16485+t15655+t17135*t17387+t17497; + t17169 = RATIONAL(50.0,9.0); + t17263 = t16522+t15492+t16905+t17231*t17850+t17007*t17861+t17169*t17577+ +t17416; + t17262 = t16627+t17230*t17850+t15492+t17211*y+t17007*t17848+t17169*t17600 ++t17465; + t17261 = t16657+t16923*t17475+t16668+t18149+t15545+t15509+t18187*t17097; + t17260 = t17052*t17577+t15532+t17087*t17844+t17015*t17475+t16584+t18058+ +t18101; + t17259 = t15910+z*t17741+t17009*t17577+t17389+t17507; + t17258 = x*t17535+t16937*t17600+t16448+t16253+t17476+t18078; + t17257 = z*t17517+t16287+t16973*t17577+t17446+t17458; + t17256 = t16578+t16340+t16599+t16981*t17387+t17445+t18175; + t17255 = t16926*t17600+t15707+t17225*t17848+t16790+t16683+x*t17553+t17378 +; + t17254 = t16789+y*t17576+t15850+t16802+t16944*t17577+x*t17696+t16208+ +t18035; + t17253 = t16588+t16766+t16314+t17171*t17387+t17497+t18175; + t17252 = t17120*t17872+t17232*t16874+t17515+t17796+t18093; + t17251 = t16573+t16420+t16658+t16725+t17032*t17387+t18029+t18180; + t15942 = t17047*t17597; + t17250 = t17427+t15942+t17426+(t17370+t17547)*z; + t17249 = z*t17669+t17200*t17577+t15936+t17423+t17440; + t17248 = t15910+t16874+t17009*t17600+t17477+t17491; + t15484 = RATIONAL(125.0,18.0)*t17597; + t17247 = t16642+t16156+t16141+t16120+t16685+t17009*t17848+t17145*t17600+ +t17161*t17829+t15484; + t17246 = t17704*t17881+t15707+t17232*t17549+t17426+t17456; + t17245 = t15478+t17231*t17674+t16646+t16584+t17209*t17387+y*t17837+t16097 ++t18175; + t17244 = t17225*t17600+t16264+z*t17641+t16659+t17405+(t17651+t17073)*y; + t16064 = z*t16771; + t17243 = x*t17769+t16504+t16501+t18139+t16064+t15957+t18187*t17147; + t17242 = t17189*t17844+x*t17684+t17144*t17577+t16473+t17413+t18149; + t17241 = t16913*t17429+t15424+x*t17595+t16993*t17600+t15802+t18037+t18078 +; + t17240 = t16666+t16534+t16270+t16278+t18021+(t17600+t17829)*t17040; + t17239 = t17231*t17696+t17230*t17371+t15581+t16638+t17952+t18155; + t17238 = t15547+t17191*t17600+z*t17585+t16299+t17476+t18134; + t15856 = RATIONAL(-25.0,27.0)*t17597; + t17237 = t17122*t17387+t15856+t16790+t17231*t17672+t17399+t18141; + t17236 = t17225*t17577+t16264+t17210*t17851+t16887+x*t17656+t16577+t17503 +; + t17215 = RATIONAL(4.0,3.0); + t17208 = RATIONAL(-1.0,4.0); + t17206 = RATIONAL(-4.0,3.0); + t17203 = RATIONAL(-2.0,1.0); + t17199 = RATIONAL(5.0,1.0); + t17197 = RATIONAL(-2.0,3.0); + t17195 = RATIONAL(1.0,2.0); + t17179 = RATIONAL(98.0,9.0); + t17175 = RATIONAL(-28.0,3.0); + t17132 = RATIONAL(25.0,8.0); + t17119 = RATIONAL(-25.0,6.0); + t17054 = RATIONAL(-80.0,27.0); + t17051 = RATIONAL(-25.0,54.0); + t17022 = RATIONAL(80.0,27.0); + t17016 = RATIONAL(-25.0,96.0); + t16983 = RATIONAL(25.0,12.0); + t16970 = RATIONAL(175.0,54.0); + t16969 = RATIONAL(-392.0,27.0); + t16968 = RATIONAL(392.0,27.0); + t16966 = RATIONAL(-175.0,54.0); + t16961 = RATIONAL(-175.0,96.0); + t16958 = RATIONAL(-35.0,432.0); + t16948 = RATIONAL(196.0,27.0); + t16947 = RATIONAL(100.0,27.0); + t16945 = RATIONAL(-112.0,27.0); + t16943 = RATIONAL(-100.0,27.0); + t16942 = RATIONAL(175.0,96.0); + t16939 = RATIONAL(200.0,27.0); + t16936 = RATIONAL(-35.0,576.0); + t16931 = RATIONAL(-196.0,27.0); + t16930 = RATIONAL(112.0,27.0); + t16929 = RATIONAL(343.0,54.0); + t16927 = RATIONAL(-343.0,54.0); + t16921 = RATIONAL(35.0,432.0); + t16919 = RATIONAL(-200.0,27.0); + t16871 = t17190*t17797; + t16860 = t17198*t17848; + t16851 = t17211*t17809; + t16839 = t17211*t17797; + t16830 = x*t17731; + t16823 = t17232*t17714; + t16821 = t17229*t17700; + t16820 = t17232*t17729; + t16816 = t17232*t17674; + t16815 = t17229*t17608; + t16807 = t17232*t17701; + t16800 = t17229*t17744; + t16794 = t17229*t17686; + t16788 = t17232*t17704; + t16786 = t17117*t17797; + t16779 = t17230*t17767; + t16776 = t17229*t17726; + t16764 = t17232*t17643; + t16763 = t17229*t17779; + t16760 = t17232*t17787; + t16758 = t17229*t17629; + t16753 = t17231*t17632; + t16738 = t17231*t17784; + t16734 = t17229*t17783; + t16729 = t17230*t17771; + t16722 = t17159*t17861; + t16718 = t17232*t17615; + t16700 = t17117*t17848; + t16693 = t17231*t17715; + t16680 = t17231*t17652; + t16674 = t17093*t17797; + t16672 = t17230*t17720; + t16667 = t17046*t17797; + t16656 = t17232*t17684; + t16647 = t17229*t17759; + t16636 = y*t17759; + t16632 = t17080*t17797; + t16623 = t17231*t17637; + t16620 = t17080*t17809; + t16615 = t17232*t17677; + t16614 = x*t17677; + t16612 = t17229*t17727; + t16604 = t17231*t17777; + t16603 = t17232*t17785; + t16597 = t17232*t17795; + t16596 = t17229*t17703; + t16595 = t16994*t17797; + t16591 = t17049*t17797; + t16585 = t17230*t17611; + t16554 = t17229*t17792; + t16547 = t17033*t17797; + t16541 = t17011*t17809; + t16538 = t17229*t17617; + t16533 = t17231*t17613; + t16530 = t17232*t17625; + t16518 = t16978*t17797; + t16509 = t17229*t17635; + t16508 = t16921*t17797; + t16507 = t17231*t17628; + t16503 = t16958*t17809; + t16494 = y*t17778; + t16492 = t16936*t17797; + t16490 = t16974*t17809; + t16487 = t16936*t17809; + t16486 = t16921*t17809; + t16484 = t17230*t17780; + t16478 = t17229*t17778; + t16476 = t16958*t17797; + t16472 = t16952*t17797; + t16467 = t16932*t17797; + t16458 = t16909*t17881; + t16441 = t16907*t17880; + t16432 = t16906*t17881; + t16431 = t16905*t17880; + t16428 = t16904*t17880; + t16419 = y*t17372; + t16418 = x*t17552; + t16412 = t16901*t17881; + t16400 = t17190*t17605; + t16398 = t16911*t17880; + t16397 = t17215*t17518; + t16394 = t17194*t17475; + t16388 = t17230*t17602; + t16383 = t17217*t17518; + t16381 = t17198*t17518; + t16379 = t17194*t17429; + t16376 = t17190*t17518; + t16374 = t17188*t17429; + t16371 = t17233*t16858; + t16367 = t17230*t17580; + t16366 = t17190*t17429; + t16365 = t17206*t17518; + t16363 = t17230*t17520; + t16362 = t17225*t17518; + t16356 = x*t17409; + t16355 = t17215*t17605; + t16353 = t17188*t17475; + t16352 = y*t17596; + t16351 = t17206*t17605; + t16343 = x*t17357; + t16342 = t17210*t17518; + t16330 = t17114*t17429; + t16327 = t17763*t17880; + t16326 = t17171*t17518; + t16323 = t17167*t17878; + t16321 = x*t17523; + t16319 = t17636*t17880; + t16317 = y*t17526; + t16312 = t17086*t17840; + t16308 = t17182*t17518; + t16305 = t17232*t17569; + t16304 = t17784*t17881; + t16302 = t17148*t17605; + t16300 = t17180*t17845; + t16293 = t17670*t17880; + t16292 = t17771*t17880; + t16289 = t17143*t17518; + t16288 = t17186*t17840; + t16286 = t17128*t17845; + t16284 = t16889*t17880; + t16283 = z*t16770; + t16279 = x*t17529; + t16268 = t17233*t17585; + t16265 = t17720*t17880; + t16263 = t17125*t17575; + t16261 = t16891*t17881; + t16260 = t17148*t17518; + t16259 = t17110*t17605; + t16248 = t17110*t17518; + t16244 = t16893*t17880; + t16243 = t17157*t17518; + t16240 = t17147*t17518; + t16236 = t16892*t17881; + t16229 = t17121*t17518; + t16224 = t17724*t17881; + t16211 = x*t17451; + t16209 = t16898*t17881; + t16204 = y*t17591; + t16203 = t17098*t17840; + t16201 = t17761*t17881; + t16200 = t17621*t17880; + t16192 = t17230*t17546; + t16190 = t17233*t17541; + t16176 = t17176*t17518; + t16174 = x*t17593; + t16172 = t16896*t17880; + t16167 = t17164*t17840; + t16165 = t17232*t17832; + t16164 = t17155*t17518; + t16163 = t17157*t17845; + t16161 = t17122*t17878; + t16158 = x*t17527; + t16157 = t17233*t17578; + t16152 = t17096*t17840; + t16147 = x*t17545; + t16143 = t17083*t17575; + t16135 = t17106*t17518; + t16133 = t17230*t17601; + t16118 = z*t16802; + t16107 = t17107*t17605; + t16106 = t17144*t17518; + t16102 = y*t17371; + t16100 = t17233*t17551; + t16099 = t17232*t17386; + t16095 = x*t17435; + t16090 = y*t17376; + t16087 = t17085*t17518; + t16086 = z*t16695; + t16078 = t17131*t17605; + t16075 = t17174*t17518; + t16068 = z*t16676; + t16061 = x*t17373; + t16046 = t17105*t17605; + t16044 = t17084*t17475; + t16043 = x*t17448; + t16037 = t17114*t17518; + t16034 = t17233*t16739; + t16033 = t17174*t17605; + t16029 = z*t16702; + t16027 = t17146*t17605; + t16024 = t17157*t17840; + t16023 = t17083*t17605; + t16001 = t17142*t17605; + t16000 = t17767*t17880; + t15997 = x*t17569; + t15992 = t17093*t17518; + t15987 = y*t17375; + t15978 = t16895*t17881; + t15976 = t17229*t17838; + t15967 = t17632*t17881; + t15966 = t16899*t17880; + t15961 = t17233*t17517; + t15959 = t17613*t17881; + t15955 = t17657*t17880; + t15938 = t17065*t17840; + t15929 = y*t17574; + t15927 = x*t17560; + t15916 = t16984*t17429; + t15909 = t17233*t17390; + t15905 = t17768*t17881; + t15902 = t16880*t17881; + t15897 = t17033*t17518; + t15896 = z*t16563; + t15893 = t17233*t17364; + t15886 = t17611*t17880; + t15883 = t17233*t17542; + t15875 = t17024*t17840; + t15870 = t17717*t17880; + t15863 = t17067*t17605; + t15862 = y*t17368; + t15859 = t17751*t17880; + t15849 = z*t16659; + t15841 = t17777*t17881; + t15839 = t16883*t17880; + t15838 = z*t16536; + t15837 = t17008*t17518; + t15836 = y*t17588; + t15835 = t17680*t17881; + t15832 = t17076*t17518; + t15828 = x*t17539; + t15825 = t17230*t17380; + t15824 = y*t17397; + t15815 = t16887*t17880; + t15808 = t17079*t17845; + t15803 = t17661*t17880; + t15797 = t17229*t17833; + t15792 = t17069*t17845; + t15786 = t16989*t17840; + t15784 = t16885*t17880; + t15775 = t17630*t17881; + t15767 = t17055*t17840; + t15766 = y*t17564; + t15763 = t17770*t17880; + t15761 = x*t17424; + t15760 = t17055*t17575; + t15759 = t17229*t17830; + t15757 = y*t17355; + t15751 = t17229*t17835; + t15750 = x*t17363; + t15749 = t16995*t17840; + t15747 = t17030*t17605; + t15746 = x*t17572; + t15734 = t17013*t17878; + t15730 = x*t17522; + t15729 = y*t17385; + t15728 = t17229*t17837; + t15720 = t16976*t17605; + t15717 = t17031*t17605; + t15713 = x*t17428; + t15706 = t17070*t17518; + t15703 = t17019*t17575; + t15694 = z*t16540; + t15686 = t17029*t17518; + t15683 = z*t16569; + t15682 = z*t16633; + t15669 = t17032*t17605; + t15667 = y*t17582; + t15664 = t17041*t17840; + t15662 = y*t17571; + t15659 = t16984*t17518; + t15648 = t17070*t17429; + t15641 = y*t17584; + t15635 = t17025*t17518; + t15630 = t17026*t17845; + t15629 = x*t17533; + t15623 = t17054*t17845; + t15619 = t17232*t17828; + t15614 = t17699*t17881; + t15610 = y*t17581; + t15605 = t17026*t17575; + t15604 = t17022*t17845; + t15601 = t16999*t17840; + t15597 = y*t17531; + t15592 = t16999*t17845; + t15590 = t17075*t17845; + t15589 = t17229*t17831; + t15586 = t17021*t17878; + t15584 = t17054*t17840; + t15578 = t17022*t17840; + t15577 = x*t17828; + t15573 = t16986*t17845; + t15571 = y*t17540; + t15566 = y*t17556; + t15563 = t17021*t17845; + t15544 = t16953*t17840; + t15534 = y*t17590; + t15529 = t16938*t17845; + t15528 = t16925*t17575; + t15517 = RATIONAL(49.0,864.0)*t17575; + t15514 = y*t17400; + t15510 = t16938*t17840; + t15506 = x*t17420; + t15503 = t16933*t17429; + t15500 = t16940*t17605; + t15490 = x*t17421; + t15488 = y*t17524; + t15487 = t16930*t17840; + t15482 = x*t17377; + t15479 = y*t17396; + t15475 = t16945*t17840; + t15474 = y*t17365; + t15467 = t17230*t17433; + t15461 = t16957*t17518; + t15450 = t16930*t17845; + t15448 = RATIONAL(-224.0,27.0)*t17575; + t15444 = t16945*t17845; + t15440 = x*t17537; + t15438 = RATIONAL(160.0,27.0)*t17575; + t15432 = y*t17599; + t15428 = t16953*t17845; + t15420 = t16918*t17475; + t15419 = RATIONAL(245.0,288.0)*t17575; + t15416 = t16915*t17475; + t15414 = RATIONAL(-343.0,216.0)*t17575; + t15408 = RATIONAL(245.0,216.0)*t17575; + coeff_dz_m2_m2_m2 = t15577+t17044*t17352+((t17068*t17233+t17018)*t17230+( +t17785+t17864*t17044)*z)*t17231+t16509+t15635+t15630+t15605+t17374+t15619+ +t17392+t18114+t18130+t18140+t18185; + coeff_dz_m1_m2_m2 = t16585+t15916+t16595+t17264+z*t16808+t15659+t16049+ +t16034+t15875+t17821+t17938+t18034+t18077; + coeff_dz_0_m2_m2 = t16729+((t17093+t17816)*t17230+t17864*t17090)*z+t16077 ++t17408+t16068+t17401+t17326*t17230+t17454+t17992+t18147+t18165+t18170; + coeff_dz_p1_m2_m2 = t17891+t17484+t16339+t15909+t15961+t16820+(t17159*x+ +t17823)*t17872+t16667+t16086+t17912+t18021+t18051; + coeff_dz_p2_m2_m2 = t16636+t16330+t15751+t15955+t16647+z*t16589+t15954+ +t16037+t17243+t17492+t17511+t17937; + coeff_dz_p3_m2_m2 = t15648+t15706+t17285+t16478+t16494+t15610+z*t16526+ +t17942+t18119; + coeff_dz_m2_m1_m2 = t16615+t16327+z*t16673+t16614+t16533+t16515+t17264+ +t15750+t17627+t17898+t18024+t18124; + coeff_dz_m1_m1_m2 = t16492+(RATIONAL(25.0,64.0)*t17233+RATIONAL(25.0, +192.0))*t17748+t16321+t16487+t17886+t16326+t16319+t16323+t17250+t18033+t18041; + coeff_dz_0_m1_m2 = t17252+t16312+t16745+(t17225*y+t17753)*z+t17346*t17230 ++t17457+t17919+t17984+t18117; + coeff_dz_p1_m1_m2 = t17238+t16300+t16712+t16476+t16302+t16308+t16317+ +t17892+t17894; + coeff_dz_p2_m1_m2 = t15927+t17900+t16547+t17242+t16335+t16289+t16293+ +t17945+t18047+t18081; + coeff_dz_p3_m1_m2 = t16507+t16656+t16292+t17284+t17673+t17966+t17998; + coeff_dz_m2_0_m2 = t16800+t16283+t17090*t17606+((t17093+t17652)*z+t17326) +*t17231+t17276+t17468+t17488+t17992+t18067+t18171; + coeff_dz_m1_0_m2 = t17346*t17231+t15997+t17249+(t17225*x+t17106*t17232)*z ++t16727+t17431+t17931+t17984+t18086; + coeff_dz_0_0_m2 = t15703+t17301+RATIONAL(1.0,4.0)*t17233+t17143+t17341* +t17230+(t17209+t17730*t17211)*z+((t16946+t16987*t17233)*t17230+t17341)*t17231+ +t17496+t17928+t18118; + coeff_dz_p1_0_m2 = t17259+(t17190*t17232+t17198*x)*z+t16758+t16286+t17350 +*t17231+t17354+t17436+t17951+t18000; + coeff_dz_p2_0_m2 = t16279+(t17139*x+t17155*t17232)*z+t16734+t17236+t17343 +*t17231+t17469+t17487+t17976+t18001; + coeff_dz_p3_0_m2 = z*t17743+t17348*t17231+t17295+t17463+t17773+t18123+ +t18128; + coeff_dz_m2_p1_m2 = t17891+t16693+t16279+t15883+t16530+t17240+t16292+( +t17876+t17814)*t17851+t15893+t18046+t18082; + coeff_dz_m1_p1_m2 = t16819+t17258+t16260+t16503+t16286+t16293+t16268+ +t17887+t17892; + coeff_dz_0_p1_m2 = (t17198*y+t17190*t17229)*z+t17350*t17230+t16317+t17248 ++t17481+t17951+t17977+t18090+t18097; + coeff_dz_p1_p1_m2 = t15703+t17450+t16312+t15997+t17425+t15856+t16243+ +t17929+t16776+t17510+t16323+(RATIONAL(25.0,36.0)*t17233+RATIONAL(25.0,108.0))* +t17748+t17980+t18162; + coeff_dz_p2_p1_m2 = t17884+t16486+t16674+t16248+t17253+t16319+t16283+ +t15863+t17888; + coeff_dz_p3_p1_m2 = t16591+t16597+t17303+t16327+t16240+t17810+t17936+ +t18177; + coeff_dz_m2_p2_m2 = t15838+t17509+t15927+t17483+t17485+z*t16651+t16604+ +t15610+t16064+t17449+t15832+t17924+t17937; + coeff_dz_m1_p2_m2 = t16300+t15955+t16472+t15824+t17257+t17467+t17489+ +t17945+t17949; + coeff_dz_0_p2_m2 = t16684+t17343*t17230+(t17139*y+t17155*t17229)*z+t17244 ++t16086+t17505+t17506+t17965+t18001; + coeff_dz_p1_p2_m2 = t16816+t16321+t15862+t16508+t17253+t16259+t16068+ +t17883+t17885; + coeff_dz_p2_p2_m2 = t15577+t16620+t16632+t16229+(RATIONAL(1.0,16.0)* +t17233+t17162)*t17748+t17265+t15875+t17916+t18024+t18033+t18160; + coeff_dz_p3_p2_m2 = t16622+t17310+t15619+t15837+t17804+t17932+t17993; + coeff_dz_m2_p3_m2 = t16612+t15751+z*t16562+t17285+t16490+t15825+t17698+ +t17752+t17982; + coeff_dz_m1_p3_m2 = t16192+t16589+t16484+t16596+t17284+t17484+t17956+ +t18122; + coeff_dz_0_p3_m2 = t15887+t16568+t17139*t17859+t17348*t17230+t17288+ +t17472+t18023+t18123; + coeff_dz_p1_p3_m2 = t16603+t16554+t16190+t16052+t16049+t17311+t17936+ +t17989; + coeff_dz_p2_p3_m2 = t16538+t17291+t15630+t17642+t17807+t17993+t17999; + coeff_dz_p3_p3_m2 = t16467+t15605+(t16974+t17799)*t17748+t17325+t17817+ +t18179; + coeff_dz_m2_m2_m1 = t17898+t15897+t17495+t16057+t17230*t17744+t15761+ +t17773+t16584+t15760+t15759+t17499+t15767+t17938+t18068; + coeff_dz_m1_m2_m1 = t16630+t16815+t16646+t16224+t16211+t17038*t17353+ +t15534+t15474+t17250+t17899+t18087+t18138; + coeff_dz_0_m2_m1 = t17252+t17148*t17607+t16024+t17351*t17230+t16779+ +t17922+t17939+t18169+t18173; + coeff_dz_p1_m2_m1 = t17238+t16672+t16204+t16201+t16157+t15514+t17480+ +t17903+t17907; + coeff_dz_p2_m2_m1 = t16580+t16176+t17261+t15510+t15797+t17415+t17900+ +t17941+t18151; + coeff_dz_p3_m2_m1 = t16603+t15766+t16562+t17272+t15757+t17925+t17966; + coeff_dz_m2_m1_m1 = t16549+t16790+t16700+t17899+t17886+t16164+t16167+ +t15500+t15942+t17038*t17352+t17430+t18083+t18107; + coeff_dz_m1_m1_m1 = t15746+t15420+t15418+t16830+t16523+t16161+t17411+( +t17017*x+t16961*t17232)*t17872+t15749+t15419+((RATIONAL(-25.0,24.0)+RATIONAL( +-175.0,64.0)*t17233)*t17230+(t17017*y+RATIONAL(125.0,32.0)*t17230+t16961*t17229 +)*z)*t17231+t15747+t17447+t17455+t18184; + coeff_dz_0_m1_m1 = t16807+t16152+t17329*t17230+(t17032*t17229+t17218*y+( +t17132+t17129*t17232)*t17230)*z+t17302+t17422+t17439+t18017+t18042+t18056; + coeff_dz_p1_m1_m1 = t16640+t16788+(t17119*t17232+t16983*x)*t17872+t16203+ +t17254+t15669+t15792+t17911+t18064+t18132+t18167; + coeff_dz_p2_m1_m1 = t16774+t17486+t15662+t17452+t15506+t16860+t15529+ +t17904+(t17016*x+t16942*t17232)*t17872+t17910+t18037+t18071; + coeff_dz_p3_m1_m1 = t15503+t17016*t17600+t16165+t16764+t16536+t17281+ +t15549+t17789+t17801+t18044; + coeff_dz_m2_0_m1 = t16738+t17351*t17231+t17249+t16170+t16163+t17148* +t17606+t17922+t18012+t18091+t18144; + coeff_dz_m1_0_m1 = t15533+t17456+t16158+t17504+((t17129*t17229+t17132)*z+ +t17329)*t17231+(t17218*x+t17032*t17232)*z+t18017+t18106+t18135+t18145+t18163+ +t18164; + coeff_dz_0_0_m1 = RATIONAL(-7.0,4.0)*t17233+(t17204+t17730*t17142)*z+(( +RATIONAL(-343.0,36.0)*t17233+t16997)*t17230+t17332)*t17231+t17296+t16143+t17332 +*t17230+t17197+t17466+t17946+t18157; + coeff_dz_p1_0_m1 = t16147+t16518+t17263+t17349*t17231+(t17146*t17232+ +t17220*x)*z+t17356+t17508+t18005+t18018; + coeff_dz_p2_0_m1 = t16174+t16871+t17340*t17231+t17268+(t17171*x+t17030* +t17232)*z+t17417+t17473+t17981+t18015; + coeff_dz_p3_0_m1 = t17171*t17868+t16786+t17342*t17231+t17314+t17500+ +t18010+t18055; + coeff_dz_m2_p1_m1 = t16753+t16165+t16174+t16135+t15490+t17271+t17887+ +t17903+t18059; + coeff_dz_m1_p1_m1 = t17493+t15662+(t17119*t17229+t16983*y)*t17851+t16147+ +t16763+t15416+t15720+t17911+t17512+t17917+t18035+t18136; + coeff_dz_0_p1_m1 = t17262+t16203+t17349*t17230+(t17220*y+t17146*t17229)*z ++t17479+t17975+t18005+t18065+t18096; + coeff_dz_p1_p1_m1 = (RATIONAL(-175.0,36.0)*t17233+RATIONAL(-50.0,27.0))* +t17748+t15717+t16541+t16158+t16161+t16143+t17247+t16152+t17391+t17441+t17947; + coeff_dz_p2_p1_m1 = t15482+t16839+t17255+t17905+t16163+t15749+t17915+ +t18061+t18095; + coeff_dz_p3_p1_m1 = t16680+t16167+t17308+t16106+t17940+t17971+t18113; + coeff_dz_m2_p2_m1 = t16660+t15766+t15729+t15529+t17257+t17464+t17906+ +t17941+t18146; + coeff_dz_m1_p2_m1 = (t17016*y+t16942*t17229)*t17851+t15461+t16625+t15510+ +t17241+t16046+t15792+t17910+t18053+t18110+t18148; + coeff_dz_0_p2_m1 = t16858+t16204+(t17171*y+t17030*t17229)*z+t17266+t17340 +*t17230+t17412+t17462+t17972+t18015; + coeff_dz_p1_p2_m1 = t16024+t16851+t15746+t16107+t15479+t17267+t17474+ +t17902+t17915; + coeff_dz_p2_p2_m1 = t16708+t16090+(RATIONAL(-7.0,16.0)*t17233+t17217)* +t17748+t17260+t16095+t15419+t15534+t17901+t18068+t18107+t18182; + coeff_dz_p3_p2_m1 = t16760+t17316+t15686+t16646+t16542+t15767+t17923+ +t17959; + coeff_dz_m2_p3_m1 = t16591+t16526+t17272+t15797+t17610+t17735+t17995+ +t18122; + coeff_dz_m1_p3_m1 = t16201+t15467+t17016*t17577+t16520+t16722+t17281+ +t17827+t18019+t18112; + coeff_dz_0_p3_m1 = t17171*t17859+t16718+t17342*t17230+t17283+t17502+ +t18010+t18026; + coeff_dz_p1_p3_m1 = t17298+t16823+t16821+t16224+t16133+t17940+t17948; + coeff_dz_p2_p3_m1 = t17273+t15713+t16794+t15759+t17713+t17959+t17961; + coeff_dz_p3_p3_m1 = t15760+t16623+(t17056+t17745)*t17748+t17319+t17800+ +t18156; + coeff_dz_m2_m2_0 = t15683+t15682+t17222*t17387+t16087+t16100+t15694+ +t17276+t17793+t18133+t18147; + coeff_dz_m1_m2_0 = t15488+t16075+t16400+t17313+t16118+t17931+t17939; + coeff_dz_0_m2_0 = t15667+t17197*t17721+t16394+(t17864*t17150+t16975* +t17516)*z+t17437+t17928+t18075+t18172; + coeff_dz_p1_m2_0 = t16388+t17286+t15664+t17688+t17994+t18000+t18100; + coeff_dz_p2_m2_0 = t17309+t16383+t16043+t17622+t17819+t17958+t17976; + coeff_dz_p3_m2_0 = t17323+t17627+t17747+t18128+t18174; + coeff_dz_m2_m1_0 = t16033+t16376+t16029+t17313+t17822+t17919+t18012; + coeff_dz_m1_m1_0 = RATIONAL(25.0,4.0)*t17387+t16027+t15786+t15414+t15740+ +t15734+t17302+t17749+t18062+t18164; + coeff_dz_0_m1_0 = t15487+t17199*t17721+t16099+(t17124*y+t17020*t17229+( +t16931*y+t16927*t17229)*t17231)*z+t17296+t17406+t18073; + coeff_dz_p1_m1_0 = t17280+t15475+t16001+t17683+t18007+t18018+t18126; + coeff_dz_p2_m1_0 = t16397+t16061+t17305+t17757+t17794+t17981+t18004; + coeff_dz_p3_m1_0 = t16381+t17324+t17806+t17962+t18055; + coeff_dz_m2_0_0 = t16379+t15629+t17197*t17734+(t17755+t17150)*t17606+ +t17301+t17461+t18075; + coeff_dz_m1_0_0 = t17199*t17734+t15450+t15525+((t17020+t16927*t17230)* +t17232+(t17124+t16931*t17230)*x)*z+t17513+t17946+t18073+t18152; + coeff_dz_0_0_0 = t15448+(RATIONAL(4.0,1.0)+t17175*t17230+(t17175+RATIONAL +(196.0,9.0)*t17230)*t17231)*t17233+(t17184+(t17179+t16968*t17232)*t17230+t17730 +*t17183+(t16968*t17229+RATIONAL(-686.0,27.0)*t17230+t17179)*t17231)*z+t17460+ +t18050; + coeff_dz_p1_0_0 = t15444+t17388+t15445+((t17103+t16969*t17230)*t17232+( +t16948*t17230+t17136)*x)*z+t17453+t17933+t18084+t18161; + coeff_dz_p2_0_0 = t15614+t16374+t17203*t17734+((t16929*t17230+t17005)* +t17232+t17330*x)*z+t17312+t17394+t18153; + coeff_dz_p3_0_0 = t17231*t17638+t16366+t15817+t17330*t17868+t17389+t18143 ++t18178; + coeff_dz_m2_p1_0 = t16419+t17286+t15614+t17806+t17977+t18022+t18048; + coeff_dz_m1_p1_0 = t17280+t16102+t16078+t15444+t17794+t17920+t17975; + coeff_dz_0_p1_0 = t16044+t15475+t17386+(t17103*t17229+t17136*y+(t16969* +t17229+t16948*y)*t17231)*z+t17287+t17459+t18161; + coeff_dz_p1_p1_0 = RATIONAL(100.0,9.0)*t17387+t15487+t15450+t15448+t17292 ++t16023+t15734+t17442+t17955; + coeff_dz_p2_p1_0 = t17300+t15786+t16365+t15629+t17943+t18014+t18072; + coeff_dz_p3_p1_0 = t16362+t16029+t17304+t18043+t18142; + coeff_dz_m2_p2_0 = t17309+t16356+t15992+t17747+t17757+t17965+t17996; + coeff_dz_m1_p2_0 = t16355+t15987+t17305+t17622+t17683+t17954+t17972; + coeff_dz_0_p2_0 = t17203*t17721+t16225+t15664+t16353+(t17113*y+t17005* +t17229+(t17036*y+t16929*t17229)*t17231)*z+t17465+t17501+t18094+t18153; + coeff_dz_p1_p2_0 = t17300+t16351+t15667+t17749+t17997+t18020+t18183; + coeff_dz_p2_p2_0 = t15488+t16342+t15414+t16343+t16407+t17315+t17387+ +t17793+t17822+t18116; + coeff_dz_p3_p2_0 = t16257+t15694+t17297+t18025+t18052; + coeff_dz_m2_p3_0 = t15919+t16034+t17323+t17819+t18023+t18115; + coeff_dz_m1_p3_0 = t16367+t17324+t17688+t17967+t18026; + coeff_dz_0_p3_0 = t16371+t17230*t17638+(t17036*t17231+t17113)*t17859+ +t17278+t18178; + coeff_dz_p1_p3_0 = t16363+t16118+t17306+t18079+t18142; + coeff_dz_p2_p3_0 = t15683+t17321+t17762+t17985+t18052; + coeff_dz_p3_p3_0 = t15838+t15593+t17139*t17387+t15682+t17776+t18108; + coeff_dz_m2_m2_p1 = t16603+t16591+t15597+t16668+t17240+(t17668+t17137)* +t17748+t16043+t15589+t15992+t17912+t18045+t18137; + coeff_dz_m1_m2_p1 = t17893+t15976+t15432+t16580+t17258+t16388+t15987+ +t17907+t18112; + coeff_dz_0_m2_p1 = t16672+t15571+t17334*t17230+t17157*t17607+t17248+ +t17501+t17502+t17994+t18008; + coeff_dz_p1_m2_p1 = t16821+t16779+t15566+t17237+t16394+t16400+t17023* +t17353+t17980+t18089+t18092+t18138+t18183; + coeff_dz_p2_m2_p1 = t16630+t15728+t17245+t16342+t17882+t16794+t16100+ +t15544+t17884; + coeff_dz_p3_m2_p1 = t17277+t15641+t16583+t16623+t16257+t17495+t17957+ +t18177; + coeff_dz_m2_m1_p1 = t16660+t17893+t16288+t15440+t16764+t16419+t17271+ +t16061+t17894; + coeff_dz_m1_m1_p1 = (RATIONAL(-25.0,4.0)*t17233+RATIONAL(25.0,24.0))* +t17748+t15592+t16102+t15601+t16625+t15408+t17254+t16001+t17452+t17917+t18125; + coeff_dz_0_m1_p1 = t17262+(t17096*y+t17031*t17229)*z+t17328*t17230+t16788 ++t15584+t17459+t17462+t17978+t18007; + coeff_dz_p1_m1_p1 = t15578+t15573+t16807+t16099+t16027+t16830+t17247+( +t16966*t17229+t16943*y)*t17851+t17442+t17474+t17944; + coeff_dz_p2_m1_p1 = t16033+t15428+t17908+t16523+t17255+t16365+t17913+ +t18099+t18182; + coeff_dz_p3_m1_p1 = t16542+t16362+t16200+t17282+t17430+t17971+t17987; + coeff_dz_m2_0_p1 = t17259+t15808+t16753+t17157*t17606+t17334*t17231+ +t17394+t17500+t18008+t18022; + coeff_dz_m1_0_p1 = t15623+t16763+t17263+t17328*t17231+(t17031*t17232+ +t17096*x)*z+t17417+t17920+t17978+t18084; + coeff_dz_0_0_p1 = RATIONAL(-4.0,1.0)*t17233+t17287+t15438+t17338*t17230+( +t17142+t17730*t17083)*z+t17207+((t17028+RATIONAL(-196.0,9.0)*t17233)*t17230+ +t17338)*t17231+t17356+t17933+t18096; + coeff_dz_p1_0_p1 = (t17131*t17232+t17098*x)*z+t17292+t15604+((t16939* +t17229+t17169)*z+t17327)*t17231+t17441+t17964+t18050+t18135+t18152+t18157; + coeff_dz_p2_0_p1 = t16839+t17270+t17331*t17231+(t17182*x+t16976*t17232)*z ++t15590+t17461+t17504+t18002+t18014; + coeff_dz_p3_0_p1 = t16680+t17591+t17344*t17231+t17317+t17927+t18043+ +t18091; + coeff_dz_m2_p1_p1 = t17023*t17352+t16738+t16700+t17237+t16376+t16379+ +t16200+t15590+t17929+t18072+t18080+t18113; + coeff_dz_m1_p1_p1 = t17944+t16023+t17513+t15604+t17447+t15484+(t16943*x+ +t16966*t17232)*t17872+t17947+t18062+t18095+t18099+t18145; + coeff_dz_0_p1_p1 = t15578+(t17098*y+t17131*t17229+(t17169+t16939*t17232)* +t17230)*z+t17406+t15454+t16541+t17422+t17327*t17230+t17460+t17466+t17955+t17964 +; + coeff_dz_p1_p1_p1 = t15623+t16078+(t16947*x+t16919*t17232)*t17872+(( +RATIONAL(50.0,27.0)+RATIONAL(-100.0,9.0)*t17233)*t17230+(t16919*t17229+t16947*y ++RATIONAL(250.0,27.0)*t17230)*z)*t17231+t15438+t17453+t16518+t16044+t15584+ +t17512+t18064+t18065+t18125+t18126; + coeff_dz_p2_p1_p1 = t15808+t17239+t17895+t16871+t15601+t16860+t16397+ +t16374+(t17051*x+t16970*t17232)*t17872+t18048+t18136; + coeff_dz_p3_p1_p1 = t16381+t16366+t16786+t16288+t17279+t17051*t17600+ +t17789+t18011+t18059; + coeff_dz_m2_p2_p1 = t16549+t17245+t16087+t16760+t15641+t15428+t16343+ +t17885+t17889; + coeff_dz_m1_p2_p1 = t15573+t16351+t16708+t16075+t17246+t15544+t17455+ +t17902+t17908; + coeff_dz_0_p2_p1 = t17269+t16851+t15566+(t17182*y+t16976*t17229)*z+t17331 +*t17230+t17437+t17439+t18002+t18020; + coeff_dz_p1_p2_p1 = t17896+t17239+t16858+t15592+t16640+t15571+t16355+ +t16353+(t17051*y+t16970*t17229)*t17851+t18100+t18110; + coeff_dz_p2_p2_p1 = t16774+t17890+(t17210-t17233)*t17748+t17458+t15432+ +t15440+t15408+t16356+t16383+t17950+t18029+t18045+t18053; + coeff_dz_p3_p2_p1 = t16651+t15597+t17274+t16536+t16112+t17464+t17970+ +t18057; + coeff_dz_m2_p3_p1 = t15728+t16550+t17311+t17762+t17800+t17957+t17991; + coeff_dz_m1_p3_p1 = t16363+t17298+t16815+t17713+t17968+t17987+t18092; + coeff_dz_0_p3_p1 = t16823+t17593+t17344*t17230+t17317+t17930+t18079+ +t18169; + coeff_dz_p1_p3_p1 = t16718+t17051*t17577+t16722+t16371+t16367+t15976+ +t17480+t17926+t18011+t18074; + coeff_dz_p2_p3_p1 = t17307+t16520+t16034+t15589+t17970+t17988+t18151; + coeff_dz_p3_p3_p1 = t16526+t16562+(t17671+t17044)*t17748+t17320+t18040+ +t18137; + coeff_dz_m2_m2_p2 = t16612+t15828+t17482+t15836+t15815+t15800+t15729+ +t17243+t17415+t17924+t18105+t18119; + coeff_dz_m1_m2_p2 = t16261+t15461+t16596+t16299+t16157+t17261+t15784+ +t17492+t17909+t17949; + coeff_dz_0_m2_p2 = t16820+t17244+t16398+t17335*t17230+t17110*t17607+ +t17412+t17472+t17958+t17983; + coeff_dz_p1_m2_p2 = t16729+t17882+t17256+t16554+t16352+t16211+t15978+ +t15479+t17883; + coeff_dz_p2_m2_p2 = t17897+t16585+t16090+t15761+t16538+t15730+t15839+ +t17152*t17353+t17265+t18087+t18114; + coeff_dz_p3_m2_p2 = t15686+t17289+t16467+t15929+t17932+t18006+t18185; + coeff_dz_m2_m1_p2 = t16666+t16135+t15506+t16604+t16505+t17242+t16656+ +t16284+t17906+t15902+t17909; + coeff_dz_m1_m1_p2 = t15528+(RATIONAL(175.0,64.0)*t17233+RATIONAL(-25.0, +192.0))*t17748+t16472+t16236+t16431+t16244+t17241+t15669+t17493+t17904+t18081; + coeff_dz_0_m1_p2 = t17266+t16712+t16428+(t17207*y+t17107*t17229)*z+t17333 +*t17230+t17479+t17505+t18004+t18013; + coeff_dz_p1_m1_p2 = t16441+t16745+t16508+t16209+t17267+t15747+t17391+ +t17913+t17914; + coeff_dz_p2_m1_p2 = t17445+t15420+t17901+t16487+t16614+t16632+t17382+ +t16172+t15500+(t17163*t17229+t17209*y)*t17851+t17934+t18058+t18061; + coeff_dz_p3_m1_p2 = t16615+t17316+t15966+t16106+t17804+t17935+t18003; + coeff_dz_m2_0_p2 = t16693+t16412+t17110*t17606+t17236+t17335*t17231+ +t17463+t17473+t17983+t17996; + coeff_dz_m1_0_p2 = t16819+t16458+t17333*t17231+(t17207*x+t17107*t17232)*z ++t17268+t17487+t17508+t17954+t18013; + coeff_dz_0_0_p2 = t17312+RATIONAL(7.0,4.0)*t17233+t17347*t17230+t17110+( +-1.0+t17730*t17206)*z+((t16972+RATIONAL(343.0,36.0)*t17233)*t17230+t17347)* +t17231+t16263+t17354+t18094+t18097+t18158; + coeff_dz_p1_0_p2 = t16156+t16432+t16776+t17270+t17345*t17231+(t17215* +t17232+t17197*x)*z+t17496+t17953+t17997+t18163; + coeff_dz_p2_0_p2 = t17431+(t17105*t17232+t17143*x)*z+t16674+t16418+t16344 ++t17378+((t17195+t17207*t17229)*z+t17337)*t17231+t17468+t17973+t18106+t18116+ +t18144; + coeff_dz_p3_0_p2 = t17143*t17868+t16591+t17339*t17231+t17293+t17488+ +t17979+t18025; + coeff_dz_m2_p1_p2 = t16597+t15482+t17888+t17256+t16800+t16418+t16164+ +t15966+t17889; + coeff_dz_m1_p1_p2 = t16486+t15717+t16432+t16727+t17246+t16172+t17411+ +t17905+t17914; + coeff_dz_0_p1_p2 = t16441+t17269+t17345*t17230+(t17215*t17229+t17197*y)*z ++t17943+t17953+t18042+t18118+t18162; + coeff_dz_p1_p1_p2 = t17896+t17895+t16758+t16458+t16428+t16431+t16263+( +RATIONAL(-25.0,108.0)+RATIONAL(175.0,36.0)*t17233)*t17748+t15720+t17952+t18090+ +t18167; + coeff_dz_p2_p1_p2 = t17890+t15416+(t17197*t17229+t17213*y)*t17851+t16734+ +t16412+t16503+t17251+t16244+t15490+t18071+t18082; + coeff_dz_p3_p1_p2 = t16550+t16530+t16284+t17275+t17687+t17801+t18016+ +t18057; + coeff_dz_m2_p2_p2 = t16237+t15897+t17897+t17152*t17352+t16622+t17382+ +t16533+t16095+t17374+t15929+t17916+t18083; + coeff_dz_m1_p2_p2 = (t17163*t17232+t17209*x)*t17872+t16492+t17260+t16620+ +t16209+t16107+t15839+t15474+t17934+t18060+t18077+t18184; + coeff_dz_0_p2_p2 = t16816+t17337*t17230+t16352+(t17105*t17229+t17143*y+( +t17195+t17207*t17232)*t17230)*z+t17315+t17401+t17457+t17973+t18056+t18173; + coeff_dz_p1_p2_p2 = t16684+t16398+t16476+t16236+t17251+(t17213*x+t17197* +t17232)*t17872+t16046+t15514+t17950+t18051+t18104+t18132; + coeff_dz_p2_p2_p2 = t15528+t16636+t17486+t16547+(t17172*x+t17100*t17232)* +t17872+t16176+((t17095+RATIONAL(7.0,16.0)*t17233)*t17230+(t17208*t17230+t17100* +t17229+t17172*y)*z)*t17231+t15815+t15784+t15902+t17489+t17509+t18146+t18148; + coeff_dz_p3_p2_p2 = t15503+t16507+t17294+t15836+t16494+t17172*t17600+ +t15757+t17483+t18009; + coeff_dz_m2_p3_p2 = t15713+t16509+t17291+t15730+t17817+t17921+t18006; + coeff_dz_m1_p3_p2 = t17290+t16595+t16133+t15978+t17807+t17961+t18003; + coeff_dz_0_p3_p2 = t16603+t17143*t17859+t17339*t17230+t17321+t17408+ +t17918+t17979; + coeff_dz_p1_p3_p2 = t16261+t16667+t16568+t17275+t17827+t17986+t17988; + coeff_dz_p2_p3_p2 = t17172*t17577+t16647+t16484+t15467+t16271+t16505+ +t15828+t15545+t17698+t17735+t17974+t18009; + coeff_dz_p3_p3_p2 = t16478+t16490+(t17820+t16932)*t17748+t17318+t18105+ +t18111; + coeff_dz_m2_m2_p3 = t15668+t15563+t15586+t15832+t17073*t17387+t15870+ +t17511+t17678+t17942+t17982; + coeff_dz_m1_m2_p3 = t15763+t16339+t15824+t17299+t17666+t17925+t17956; + coeff_dz_0_m2_p3 = t15947+t16327+t17230*t17653+t17147*t17607+t17288+ +t17506+t18066+t18174; + coeff_dz_p1_m2_p3 = t15862+t17277+t16292+t16034+t17702+t17960+t17989; + coeff_dz_p2_m2_p3 = t15886+t17289+t16229+t15905+t17392+t17969+t17999; + coeff_dz_p3_m2_p3 = t15837+t15859+t17021*t17353+t17325+t18130+t18150; + coeff_dz_m2_m1_p3 = t15849+t15841+t17299+t17995+t17998+t18046+t18047; + coeff_dz_m1_m1_p3 = RATIONAL(-25.0,64.0)*t17387+t16299+t15835+t15517+ +t16260+t16302+t15803+t15674+t17413+t17775+t18019+t18044; + coeff_dz_0_m1_p3 = t16265+t17230*t17619+(t17189*y+t17144*t17229)*z+t17283 ++t17481+t17962+t18159; + coeff_dz_p1_m1_p3 = t16000+t16243+t15775+t17282+t17948+t17963+t18041; + coeff_dz_p2_m1_p3 = t17273+t16248+t15959+t15750+t15938+t17935+t17990; + coeff_dz_p3_m1_p3 = t15877+t15896+t15710+t16240+(t17874+t17777)*t17851+ +t18124+t18156+t18176; + coeff_dz_m2_0_p3 = t17231*t17653+t17147*t17606+t17295+t17469+t17821+ +t18066+t18115; + coeff_dz_m1_0_p3 = t15967+t17231*t17619+(t17189*x+t17144*t17232)*z+t17314 ++t17436+t17967+t18159; + coeff_dz_0_0_p3 = t16305+(t17210+t17730*t17225)*z+(t17107*t17230+t17208+( +t17006*t17230+t17107)*t17231)*t17233+t17278+t18027+t18143; + coeff_dz_p1_0_p3 = t16304+t17375+(t17198*t17232+t17222*x)*z+t17306+t17927 ++t18086+t18088; + coeff_dz_p2_0_p3 = t17231*t17667+(t17168*t17232+t17165*x)*z+t17293+t17654 ++t17985+t18109+t18171; + coeff_dz_p3_0_p3 = t17587+(t17750+(t17147+t17715)*z)*t17231+t17322+t18067 ++t18108; + coeff_dz_m2_p1_p3 = t17303+t16112+t15896+t15863+t17654+t17960+t17991; + coeff_dz_m1_p1_p3 = t16326+t16304+t17308+t15938+t17425+t17963+t17968; + coeff_dz_0_p1_p3 = t16000+t17373+(t17198*t17229+t17222*y)*z+t17304+t17930 ++t18088+t18117; + coeff_dz_p1_p1_p3 = t17074*t17387+t15967+t17279+t16308+t16265+t16268+ +t16305+t17775+t17926; + coeff_dz_p2_p1_p3 = t15803+t17307+t16309+t15883+t16289+t16052+t17725+ +t18016+t18098; + coeff_dz_p3_p1_p3 = t15893+t15849+(t17808+t17875)*t17851+t17673+t18040+ +t18063+t18103; + coeff_dz_m2_p2_p3 = t15859+t15959+t15635+t17310+t17921+t17969+t18160; + coeff_dz_m1_p2_p3 = t17290+t15886+t16259+t15775+t15659+t17923+t17990; + coeff_dz_0_p2_p3 = t17230*t17667+t16292+(t17168*t17229+t17165*y)*z+t17297 ++t17918+t18109+t18165; + coeff_dz_p1_p2_p3 = t16327+t15961+t15826+t17274+t15835+t17467+t17986+ +t18098; + coeff_dz_p2_p2_p3 = t15763+t15517+RATIONAL(-1.0,16.0)*t17387+t17294+ +t15841+t15586+t16037+t17485+t17974; + coeff_dz_p3_p2_p3 = t15706+t15774+t15870+(t17613+t17048*y)*t17851+t17449+ +t18111+t18120; + coeff_dz_m2_p3_p3 = t15778+t15905+t17021*t17352+t17642+t18140+t18150+ +t18179; + coeff_dz_m1_p3_p3 = t16190+t15916+(t17770+t17871)*t17872+t17319+t17702+ +t18176; + coeff_dz_0_p3_p3 = t15838+t17095*t17721+t16189+(t17165*t17229+(t17147+ +t17763)*t17230)*z+t17322+t18170; + coeff_dz_p1_p3_p3 = t16192+t15909+(t16992*x+t17771)*t17872+t17320+t17666+ +t18103; + coeff_dz_p2_p3_p3 = t16330+t15563+(t17847+t17611)*t17872+t17318+t17752+ +t18120; + coeff_dz_p3_p3_p3 = t15648+t15825+z*t16605+(t17514+(t17769+t17768)*z)* +t17231+t17678; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-dzz.compute.c b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-dzz.compute.c new file mode 100644 index 0000000..252b54c --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/3d.coeffs/3d.cube.order3/coeff-dzz.compute.c @@ -0,0 +1,3517 @@ +fp t32074, + t32075, + t32076, + t32589, + t32844, + t32073, + t32531, + t31995, + t32843, + t32434, + t32585, + t32841, + t32227, + t32479, + t32435, + t32287, + t32840, + t31920, + t32022, + t32528, + t32574, + t32523, + t32839, + t32003, + t31984, + t31501, + t32838, + t31849, + t32424, + t31216, + t31968, + t32441, + t32251, + t32837, + t32072, + t31781, + t32233, + t32053, + t32567, + t32836, + t31969, + t31890, + t32466, + t31336, + t32835, + t32536, + t32041, + t31753, + t31059, + t32834, + t31864, + t32555, + t31793, + t32298, + t32833, + t32008, + t32415, + t31542, + t31992, + t30998, + t32832, + t31921, + t32449, + t31415, + t31983, + t32831, + t32001, + t32537, + t32830, + t31948, + t32532, + t32246, + t32024, + t32440, + t31569, + t32829, + t31829, + t32315, + t31178, + t32828, + t31863, + t32276, + t32068, + t32336, + t31752, + t32827, + t31841, + t32401, + t32582, + t32260, + t32826, + t32490, + t32268, + t31882, + t30795, + t31847, + t32332, + t32825, + t32517, + t31973, + t30862, + t31925, + t32824, + t31876, + t32577, + t32241, + t31869, + t32823, + t31988, + t32822, + t32572, + t32522, + t32821, + t32006, + t31774, + t31814, + t32820, + t31914, + t32348, + t31220, + t31896, + t32819, + t31825, + t31954, + t32326, + t32818, + t31804, + t32472, + t31151, + t31865, + t32278, + t32817, + t32554, + t31875, + t32816, + t32044, + t32501, + t31951, + t32815, + t32565, + t31957, + t31518, + t30944, + t32070, + t32814, + t32592, + t31922, + t32514, + t30769, + t32813, + t31790, + t32254, + t30679, + t31792, + t32812, + t31972, + t32811, + t32051, + t32545, + t31692, + t32810, + t30673, + t32809, + t32460, + t32294, + t32468, + t32808, + t32519, + t30889, + t32535, + t32288, + t32807, + t31944, + t32559, + t32806, + t31248, + t32805, + t31725, + t31067, + t32007, + t32804, + t32575, + t31964, + t31985, + t32803, + t32015, + t32266, + t30846, + t31947, + t32436, + t31492, + t32802, + t32524, + t31903, + t32801, + t32556, + t32240, + t32800, + t31838, + t32372, + t31447, + t31909, + t32285, + t32799, + t31938, + t32410, + t32239, + t30995, + t32056, + t32798, + t31789, + t32318, + t31190, + t32797, + t32009, + t31993, + t32796, + t31913, + t32301, + t31981, + t32377, + t31625, + t32795, + t31911, + t32431, + t32794, + t31943, + t31917, + t32383, + t31385, + t32793, + t32330, + t31614, + t31860, + t32792, + t32040, + t31741, + t32791, + t31952, + t31770, + t32286, + t31970, + t30960, + t32790, + t32548, + t32020, + t32789, + t32069, + t32444, + t32265, + t32055, + t31110, + t32788, + t32561, + t31487, + t30911, + t32036, + t32413, + t32257, + t32787, + t31999, + t31602, + t30959, + t32786, + t32452, + t31244, + t30693, + t32785, + t31923, + t31272, + t31771, + t32247, + t30916, + t32784, + t31997, + t32393, + t31626, + t31879, + t32783, + t32782, + t31842, + t32430, + t31268, + t32781, + t31908, + t32289, + t32011, + t32534, + t32780, + t31912, + t32355, + t31319, + t32272, + t30781, + t32779, + t31916, + t32304, + t31322, + t32255, + t30813, + t32778, + t31926, + t32363, + t32238, + t30973, + t31906, + t32370, + t31342, + t32777, + t32776, + t32026, + t32471, + t31638, + t31950, + t32538, + t32277, + t32775, + t32317, + t32593, + t32019, + t32547, + t32774, + t32506, + t32258, + t30890, + t31907, + t32320, + t32773, + t31934, + t32772, + t32771, + t32279, + t32770, + t30896, + t32769, + t32768, + t32274, + t32767, + t32382, + t32766, + t32324, + t31553, + t32765, + t31887, + t32400, + t32764, + t32763, + t31226, + t32762, + t31881, + t31936, + t32350, + t31649, + t32761, + t32476, + t31477, + t32760, + t31967, + t30885, + t31910, + t32759, + t32455, + t32432, + t32267, + t32758, + t32054, + t31786, + t31987, + t32586, + t32521, + t30937, + t32757, + t32010, + t32296, + t31918, + t32520, + t30750, + t32756, + t32755, + t31961, + t31659, + t31821, + t31197, + t32754, + t31883, + t32308, + t32753, + t31837, + t32312, + t31429, + t32752, + t31843, + t32751, + t32037, + t32300, + t31115, + t32039, + t32484, + t32281, + t32750, + t31946, + t30914, + t32388, + t32749, + t32748, + t31949, + t31546, + t31986, + t32351, + t31558, + t32747, + t32544, + t32515, + t30815, + t32422, + t31332, + t32746, + t32402, + t32745, + t31360, + t32744, + t31846, + t32481, + t30690, + t32743, + t31940, + t32270, + t31874, + t32407, + t31330, + t32742, + t32741, + t32049, + t31700, + t31035, + t31971, + t32740, + t32046, + t31778, + t32045, + t32542, + t31116, + t32739, + t32459, + t32290, + t31114, + t32738, + t32737, + t32012, + t32527, + t31633, + t31817, + t32379, + t32736, + t31707, + t30819, + t32735, + t31889, + t32734, + t32028, + t32323, + t31552, + t32733, + t32262, + t32732, + t32509, + t32731, + t32416, + t32730, + t32058, + t32579, + t31979, + t32729, + t31975, + t32359, + t32728, + t32727, + t31695, + t32581, + t32726, + t32725, + t31238, + t32724, + t31880, + t32309, + t31426, + t32723, + t32587, + t32722, + t32248, + t32721, + t32564, + t31744, + t32720, + t31878, + t32396, + t31264, + t32719, + t31111, + t31848, + t32718, + t31815, + t32717, + t31955, + t31568, + t32716, + t30803, + t32381, + t32715, + t30982, + t32714, + t32713, + t31866, + t32712, + t31172, + t31937, + t32235, + t32711, + t32361, + t32231, + t30934, + t32710, + t32013, + t32709, + t31904, + t30655, + t32708, + t32591, + t32590, + t30884, + t31977, + t32707, + t32706, + t32023, + t32030, + t32549, + t32705, + t32576, + t31779, + t32261, + t32704, + t32703, + t32702, + t31827, + t32237, + t31928, + t32477, + t32701, + t32700, + t31380, + t30768, + t32699, + t30749, + t32698, + t32518, + t30809, + t32697, + t31706, + t32696, + t30766, + t31898, + t32374, + t32695, + t32273, + t30774, + t32390, + t32694, + t30676, + t32693, + t32442, + t31703, + t32692, + t31819, + t32307, + t31147, + t32357, + t32242, + t32691, + t30789, + t32690, + t32066, + t32588, + t32516, + t31068, + t32032, + t32552, + t32503, + t32689, + t31670, + t30821, + t32688, + t30714, + t31589, + t32687, + t32530, + t30940, + t32525, + t31566, + t32510, + t31852, + t32395, + t31410, + t32686, + t31853, + t32418, + t32685, + t31963, + t31760, + t32243, + t31935, + t30946, + t31577, + t32684, + t31799, + t31900, + t31795, + t32683, + t31806, + t31155, + t32682, + t31087, + t32306, + t31497, + t32681, + t31759, + t32680, + t32679, + t31803, + t31851, + t32678, + t31877, + t32677, + t32533, + t32676, + t31856, + t32675, + t32038, + t32462, + t31373, + t30798, + t32674, + t30991, + t31840, + t32673, + t30787, + t32672, + t32245, + t32671, + t32385, + t32364, + t32670, + t31669, + t31078, + t32669, + t32437, + t32293, + t32668, + t31828, + t32365, + t32297, + t31091, + t32667, + t32539, + t32512, + t32666, + t30701, + t32665, + t32578, + t31158, + t32249, + t32664, + t31007, + t31834, + t32663, + t31894, + t32558, + t31362, + t32021, + t32259, + t32662, + t31080, + t32391, + t31557, + t32661, + t31850, + t32571, + t31233, + t32660, + t32659, + t31902, + t32325, + t31736, + t31093, + t32658, + t31539, + t32657, + t32656, + t31945, + t31578, + t31931, + t31758, + t31590, + t30924, + t32655, + t31942, + t32654, + t32031, + t32546, + t32653, + t31892, + t32342, + t32652, + t31941, + t32651, + t31507, + t32650, + t32252, + t32649, + t31029, + t32648, + t31885, + t32346, + t31279, + t31603, + t32647, + t31982, + t32646, + t32280, + t30963, + t32645, + t32644, + t30929, + t32643, + t31980, + t32244, + t30950, + t32642, + t31573, + t30932, + t31689, + t32641, + t31811, + t32640, + t31857, + t32473, + t31219, + t31893, + t32580, + t32639, + t32335, + t31516, + t32638, + t32637, + t32319, + t31104, + t31810, + t32636, + t31818, + t31905, + t32635, + t32275, + t32634, + t32557, + t31519, + t32467, + t31345, + t30806, + t32633, + t32017, + t32271, + t32526, + t31641, + t32632, + t31901, + t32409, + t32631, + t31082, + t31665, + t32299, + t32630, + t32368, + t32629, + t31732, + t31077, + t32062, + t32628, + t31150, + t32488, + t32627, + t31763, + t31698, + t32411, + t32626, + t32445, + t30831, + t32543, + t31505, + t32625, + t32358, + t30925, + t32443, + t32624, + t31782, + t32071, + t32623, + t32622, + t32621, + t32405, + t32620, + t32428, + t32619, + t32560, + t32618, + t32060, + t31888, + t31791, + t32617, + t31802, + t32616, + t31788, + t32615, + t31915, + t32349, + t32614, + t31833, + t32613, + t31976, + t32016, + t32612, + t32562, + t31710, + t32333, + t32345, + t31018, + t32611, + t32458, + t31515, + t30780, + t32610, + t32389, + t32002, + t32553, + t32344, + t31102, + t32609, + t31766, + t32406, + t32608, + t31861, + t32607, + t30802, + t32447, + t32606, + t32605, + t32604, + t31862, + t31776, + t32603, + t31767, + t32602, + t32601, + t32600, + t32599, + t32302, + t31005, + t31514, + t31708, + t32598, + t31953, + t32485, + t31748, + t32597, + t31387, + t32596, + t31348, + t32595, + t31932, + t31839, + t31824, + t32594, + t32584, + t32583, + t32573, + t32570, + t32569, + t32568, + t32566, + t32563, + t32551, + t32550, + t32541, + t32540, + t32529, + t31681, + t31002, + t32513, + t30936, + t32511, + t32423, + t32508, + t31768, + t31014, + t32507, + t31683, + t32505, + t32504, + t32502, + t32500, + t32499, + t32043, + t32498, + t32497, + t32496, + t32495, + t31103, + t32283, + t32494, + t32493, + t32492, + t31013, + t32491, + t31120, + t32014, + t32489, + t31772, + t30969, + t32487, + t32063, + t32486, + t31780, + t30716, + t32483, + t32412, + t31627, + t30939, + t32482, + t31157, + t32480, + t31019, + t32478, + t32475, + t32474, + t31899, + t32470, + t32469, + t32465, + t32464, + t31871, + t30817, + t32463, + t31858, + t32461, + t32457, + t32303, + t30957, + t32456, + t30876, + t32454, + t32453, + t31015, + t32451, + t32448, + t32446, + t32439, + t30816, + t32438, + t32429, + t31366, + t30990, + t32433, + t31836, + t32427, + t32065, + t32426, + t31617, + t32425, + t32420, + t30758, + t32419, + t32417, + t32414, + t30839, + t32408, + t32404, + t30812, + t32253, + t32403, + t32399, + t32398, + t32397, + t31927, + t32394, + t32387, + t32386, + t32384, + t32378, + t32339, + t30935, + t32376, + t32337, + t32375, + t32000, + t32373, + t32341, + t30757, + t32371, + t32369, + t32367, + t32366, + t32360, + t32356, + t32354, + t32353, + t32352, + t32347, + t32343, + t32340, + t31448, + t31663, + t32338, + t32334, + t32329, + t32328, + t32327, + t32322, + t32321, + t32316, + t32314, + t30883, + t32313, + t31978, + t32310, + t32305, + t31607, + t31959, + t32295, + t31368, + t32292, + t32291, + t32284, + t32282, + t31738, + t32269, + t31583, + t31555, + t31500, + t31428, + t31395, + t32264, + t32263, + t31333, + t31958, + t32256, + t32250, + t31721, + t31687, + t31599, + t31540, + t32236, + t32234, + t31919, + t32232, + t31974, + t32230, + t32229, + t32228, + t32225, + t32042, + t32224, + t30948, + t32223, + t32222, + t30804, + t30658, + t32221, + t30825, + t31859, + t30778, + t32220, + t32219, + t30709, + t32218, + t30835, + t32217, + t32029, + t30933, + t32216, + t32215, + t32214, + t30687, + t32213, + t32212, + t30930, + t32035, + t32211, + t30786, + t32210, + t31619, + t32209, + t30801, + t32208, + t32207, + t30994, + t32206, + t32205, + t31112, + t32204, + t31737, + t30826, + t32203, + t32202, + t32201, + t30678, + t32200, + t32199, + t31870, + t30776, + t32198, + t31372, + t30765, + t32197, + t32196, + t32195, + t31435, + t30783, + t32194, + t30656, + t30792, + t31826, + t32193, + t31653, + t31570, + t32192, + t32191, + t32190, + t30941, + t32189, + t32188, + t32187, + t32186, + t32185, + t30915, + t30901, + t32184, + t31405, + t30859, + t32183, + t32182, + t31191, + t31163, + t30734, + t30838, + t32181, + t31105, + t31004, + t32180, + t32179, + t32178, + t31317, + t32177, + t32176, + t31171, + t32175, + t32174, + t32173, + t32172, + t31884, + t32170, + t32169, + t32168, + t32167, + t32166, + t31381, + t32165, + t32164, + t31440, + t32163, + t31239, + t32162, + t32161, + t32160, + t32159, + t32158, + t31456, + t32157, + t30909, + t32156, + t31364, + t32155, + t32154, + t31460, + t31221, + t32153, + t32152, + t31996, + t31621, + t32151, + t32150, + t31531, + t32149, + t31517, + t32148, + t32147, + t32146, + t31868, + t31408, + t32145, + t32144, + t31327, + t32143, + t31401, + t32142, + t32141, + t32140, + t31556, + t32139, + t32138, + t32137, + t32136, + t32135, + t31891, + t31443, + t32134, + t32133, + t31320, + t32132, + t32131, + t31536, + t32130, + t32129, + t32128, + t31694, + t32127, + t32126, + t32125, + t31390, + t32124, + t31685, + t32123, + t31724, + t32122, + t32121, + t31822, + t31797, + t32120, + t31167, + t32119, + t32118, + t32117, + t32116, + t32115, + t32114, + t32113, + t32112, + t32111, + t31873, + t31225, + t32110, + t32109, + t31711, + t32108, + t32107, + t32106, + t32105, + t32104, + t31315, + t32103, + t31193, + t32102, + t32101, + t32100, + t32099, + t32098, + t32097, + t32096, + t31194, + t32095, + t32094, + t31855, + t31273, + t32093, + t32092, + t31960, + t32091, + t31886, + t31253, + t32090, + t32089, + t31124, + t32088, + t32087, + t32086, + t32085, + t32084, + t32083, + t32082, + t32081, + t32080, + t32079, + t32067, + t32061, + t32059, + t32057, + t32052, + t32050, + t32048, + t32034, + t32025, + t32018, + t32005, + t32004, + t31998, + t31994, + t31991, + t31989, + t31966, + t31962, + t31929, + t31924, + t31897, + t31895, + t31872, + t31867, + t31854, + t31845, + t31844, + t31832, + t31831, + t31830, + t31820, + t31816, + t31813, + t31812, + t31809, + t31808, + t31807, + t31805, + t31801, + t31800, + t31798, + t31796, + t31787, + t31754, + t31749, + t31705, + t31704, + t31693, + t31674, + t31673, + t31662, + t31657, + t31644, + t31637, + t31636, + t31634, + t31632, + t31629, + t31616, + t31608, + t31606, + t31598, + t31595, + t31588, + t31585, + t31582, + t31579, + t31576, + t31574, + t31571, + t31559, + t31551, + t31545, + t31538, + t31535, + t31533, + t31532, + t31530, + t31528, + t31527, + t31525, + t31508, + t31506, + t31495, + t31488, + t31484, + t31482, + t31481, + t31476, + t31475, + t31474, + t31473, + t31469, + t31467, + t31466, + t31462, + t31461, + t31458, + t31453, + t31452, + t31442, + t31433, + t31425, + t31424, + t31417, + t31416, + t31413, + t31411, + t31409, + t31407, + t31406, + t31402, + t31400, + t31397, + t31386, + t31384, + t31382, + t31370, + t31369, + t31365, + t31361, + t31357, + t31356, + t31353, + t31352, + t31343, + t31338, + t31334, + t31326, + t31323, + t31318, + t31313, + t31307, + t31300, + t31299, + t31296, + t31291, + t31289, + t31280, + t31266, + t31261, + t31258, + t31256, + t31252, + t31251, + t31250, + t31249, + t31243, + t31235, + t31232, + t31230, + t31228, + t31227, + t31224, + t31222, + t31218, + t31215, + t31213, + t31209, + t31205, + t31204, + t31201, + t31199, + t31198, + t31192, + t31188, + t31183, + t31180, + t31177, + t31173, + t31170, + t31169, + t31168, + t31166, + t31161, + t31149, + t31146, + t31144, + t31143, + t31134, + t31132, + t31130, + t31119, + t31106, + t31099, + t31095, + t31092, + t31086, + t31085, + t31084, + t31083, + t31081, + t31075, + t31074, + t31070, + t31069, + t31065, + t31063, + t31060, + t31057, + t31056, + t31055, + t31054, + t31053, + t31051, + t31044, + t31042, + t31041, + t31040, + t31034, + t31028, + t31027, + t31026, + t31021, + t31017, + t31016, + t31006, + t30993, + t30988, + t30984, + t30976, + t30966, + t30958, + t30956, + t30955, + t30954, + t30953, + t30952, + t30947, + t30943, + t30942, + t30938, + t30927, + t30920, + t30917, + t30910, + t30905, + t30904, + t30894, + t30893, + t30891, + t30879, + t30878, + t30872, + t30865, + t30850, + t30840, + t30834, + t30833, + t30832, + t30830, + t30829, + t30823, + t30822, + t30820, + t30814, + t30810, + t30797, + t30796, + t30791, + t30785, + t30782, + t30773, + t30764, + t30755, + t30754, + t30748, + t30743, + t30742, + t30738, + t30736, + t30729, + t30728, + t30703, + t30702, + t30698, + t30697, + t30686, + t30683, + t30675, + t30668, + t30661; + t32074 = y*y; + t32075 = x*x; + t32076 = t32075*x; + t32589 = t32076+x; + t32844 = t32074*t32589; + t32073 = t32074*y; + t32531 = t32073+y; + t31995 = RATIONAL(1.0,72.0); + t32843 = t32531*t31995; + t32434 = t32074*t32076; + t32585 = x*t32074; + t32841 = t32585+t32434; + t32227 = t32075*t32531; + t32479 = t32076*t32073; + t32435 = t32074*t32075; + t32287 = z*t32435; + t32840 = RATIONAL(-280.0,9.0)*t32287+RATIONAL(224.0,27.0)*t32479; + t31920 = RATIONAL(-112.0,9.0); + t32022 = RATIONAL(16.0,3.0); + t32528 = z*t32022; + t32574 = t32074*z; + t32523 = x*t32574; + t32839 = t31920*t32523+x*t32528; + t32003 = RATIONAL(-7.0,36.0); + t31984 = RATIONAL(1.0,54.0); + t31501 = t31984*t32479; + t32838 = t32003*t32287+t31501; + t31849 = RATIONAL(-14.0,27.0); + t32424 = t32076*t31849; + t31216 = t32073*t32424; + t31968 = RATIONAL(10.0,9.0); + t32441 = t32074*t31968; + t32251 = z*t32441; + t32837 = t31216+t32075*t32251; + t32072 = RATIONAL(7.0,9.0); + t31781 = t32072*t32074; + t32233 = z*t31781; + t32053 = RATIONAL(-1.0,3.0); + t32567 = t32053*x; + t32836 = x*t32233+z*t32567; + t31969 = RATIONAL(-14.0,9.0); + t31890 = RATIONAL(14.0,27.0); + t32466 = t31890*t32073; + t31336 = t32076*t32466; + t32835 = t31336+t31969*t32287; + t32536 = x*t32073; + t32041 = RATIONAL(-8.0,9.0); + t31753 = t32041*t32536; + t31059 = z*t31753; + t32834 = t31059+x*t32251; + t31864 = RATIONAL(49.0,24.0); + t32555 = z*t32076; + t31793 = RATIONAL(-343.0,72.0); + t32298 = z*t32434; + t32833 = t31793*t32298+t31864*t32555; + t32008 = RATIONAL(1.0,27.0); + t32415 = t32076*t32008; + t31542 = t32073*t32415; + t31992 = RATIONAL(-7.0,72.0); + t30998 = t31992*t32287; + t32832 = t31542+t30998; + t31921 = RATIONAL(10.0,27.0); + t32449 = t31921*t32073; + t31415 = t32076*t32449; + t31983 = RATIONAL(-28.0,9.0); + t32831 = t31415+t31983*t32287; + t32001 = RATIONAL(1.0,24.0); + t32537 = z*t32001; + t32830 = t31992*t32523+x*t32537; + t31948 = RATIONAL(-7.0,12.0); + t32532 = z*t31948; + t32246 = t32075*t32532; + t32024 = RATIONAL(7.0,54.0); + t32440 = t32073*t32024; + t31569 = t32076*t32440; + t32829 = t32074*t32246+t31569; + t31829 = RATIONAL(49.0,216.0); + t32315 = t31829*t32073; + t31178 = t32076*t32315; + t32828 = t31178+t32053*t32287; + t31863 = RATIONAL(-49.0,72.0); + t32276 = t31863*t32574; + t32068 = RATIONAL(1.0,9.0); + t32336 = t32068*t32076; + t31752 = t32073*t32336; + t32827 = t32075*t32276+t31752; + t31841 = RATIONAL(35.0,54.0); + t32401 = t32074*t31841; + t32582 = z*t32075; + t32260 = t32041*t32582; + t32826 = t32076*t32401+t32073*t32260; + t32490 = t32075*t32073; + t32268 = z*t32490; + t31882 = RATIONAL(7.0,288.0); + t30795 = t31882*t32268; + t31847 = RATIONAL(-5.0,288.0); + t32332 = t32074*t31847; + t32825 = t30795+t32076*t32332; + t32517 = z*t32536; + t31973 = RATIONAL(-64.0,9.0); + t30862 = t31973*t32517; + t31925 = RATIONAL(80.0,9.0); + t32824 = t30862+t31925*t32523; + t31876 = RATIONAL(-1.0,288.0); + t32577 = t31876*z; + t32241 = t32075*t32577; + t31869 = RATIONAL(1.0,432.0); + t32823 = t32073*t32241+t31869*t32434; + t31988 = RATIONAL(16.0,9.0); + t32822 = t31988*t32479+RATIONAL(-245.0,18.0)*t32287; + t32572 = y*t32075; + t32522 = z*t32572; + t32821 = y*t32528+t31920*t32522; + t32006 = RATIONAL(5.0,18.0); + t31774 = t32006*t32074; + t31814 = RATIONAL(35.0,144.0); + t32820 = t31814*t32434+x*t31774; + t31914 = RATIONAL(7.0,144.0); + t32348 = t31914*t32076; + t31220 = t32073*t32348; + t31896 = RATIONAL(-35.0,48.0); + t32819 = t31220+t31896*t32287; + t31825 = RATIONAL(-175.0,72.0); + t31954 = RATIONAL(-25.0,9.0); + t32326 = t32075*t31954; + t32818 = t31825*t32490+y*t32326; + t31804 = RATIONAL(35.0,288.0); + t32472 = t31804*t32076; + t31151 = t32073*t32472; + t31865 = RATIONAL(-35.0,96.0); + t32278 = t31865*t32574; + t32817 = t31151+t32075*t32278; + t32554 = z*RATIONAL(32.0,3.0); + t31875 = RATIONAL(-224.0,9.0); + t32816 = t32073*t32554+t31875*t32268; + t32044 = RATIONAL(-2.0,3.0); + t32501 = t32044*t32073; + t31951 = RATIONAL(14.0,9.0); + t32815 = t31951*t32268+z*t32501; + t32565 = y*t32076; + t31957 = RATIONAL(7.0,18.0); + t31518 = t31957*t32565; + t30944 = z*t31518; + t32070 = RATIONAL(7.0,3.0); + t32814 = t32070*t32298+t30944; + t32592 = y*z; + t31922 = RATIONAL(-7.0,288.0); + t32514 = t31922*t32592; + t30769 = x*t32514; + t32813 = t30769+t31914*t32523; + t31790 = RATIONAL(49.0,288.0); + t32254 = t31790*t32555; + t30679 = y*t32254; + t31792 = RATIONAL(-49.0,144.0); + t32812 = t31792*t32298+t30679; + t31972 = RATIONAL(-5.0,72.0); + t32811 = t31972*t32287+t31501; + t32051 = RATIONAL(2.0,3.0); + t32545 = z*t32051; + t31692 = t31969*t32572; + t32810 = y*t32545+z*t31692; + t30673 = t31790*t32517; + t32809 = t30673+x*t32278; + t32460 = t32074*t31969; + t32294 = z*t32460; + t32468 = t32051*t32076; + t32808 = t32076*t32294+z*t32468; + t32519 = y*t32555; + t30889 = t31973*t32519; + t32535 = z*RATIONAL(40.0,3.0); + t32288 = t32074*t32535; + t32807 = t32076*t32288+t30889; + t31944 = RATIONAL(7.0,24.0); + t32559 = z*t31944; + t32806 = t31863*t32522+y*t32559; + t31248 = RATIONAL(70.0,27.0)*t32479; + t32805 = t31248+RATIONAL(-28.0,3.0)*t32287; + t31725 = t32041*t32565; + t31067 = z*t31725; + t32007 = RATIONAL(-16.0,3.0); + t32804 = t31067+t32007*t32298; + t32575 = z*t32073; + t31964 = RATIONAL(14.0,3.0); + t31985 = RATIONAL(-98.0,9.0); + t32803 = t31985*t32268+t31964*t32575; + t32015 = RATIONAL(7.0,72.0); + t32266 = t32015*t32582; + t30846 = t32074*t32266; + t31947 = RATIONAL(-1.0,54.0); + t32436 = t31947*t32073; + t31492 = t32076*t32436; + t32802 = t30846+t31492; + t32524 = z*t32007; + t31903 = RATIONAL(112.0,9.0); + t32801 = t31903*t32522+y*t32524; + t32556 = z*RATIONAL(-7.0,48.0); + t32240 = t32075*t32556; + t32800 = t31220+t32074*t32240; + t31838 = RATIONAL(-7.0,144.0); + t32372 = t32073*t31838; + t31447 = t32076*t32372; + t31909 = RATIONAL(35.0,96.0); + t32285 = t31909*t32574; + t32799 = t31447+t32075*t32285; + t31938 = RATIONAL(1.0,18.0); + t32410 = t32073*t31938; + t32239 = z*t32410; + t30995 = x*t32239; + t32056 = RATIONAL(1.0,3.0); + t32798 = t30995+t32056*t32268; + t31789 = RATIONAL(-35.0,216.0); + t32318 = t31789*t32073; + t31190 = t32076*t32318; + t32797 = t32056*t32287+t31190; + t32009 = RATIONAL(25.0,9.0); + t31993 = RATIONAL(-50.0,9.0); + t32796 = t31993*t32490+t32009*t32572; + t31913 = RATIONAL(-35.0,36.0); + t32301 = t31913*t32073; + t31981 = RATIONAL(5.0,36.0); + t32377 = t32075*t31981; + t31625 = y*t32377; + t32795 = t32075*t32301+t31625; + t31911 = RATIONAL(-5.0,144.0); + t32431 = t32075*t31911; + t32794 = t32531*t32431; + t31943 = RATIONAL(20.0,9.0); + t31917 = RATIONAL(-10.0,27.0); + t32383 = t32073*t31917; + t31385 = t32076*t32383; + t32793 = t31943*t32287+t31385; + t32330 = t32006*t32073; + t31614 = t32076*t32330; + t31860 = RATIONAL(-49.0,36.0); + t32792 = t31860*t32287+t31614; + t32040 = RATIONAL(-7.0,9.0); + t31741 = t32040*t32479; + t32791 = RATIONAL(49.0,12.0)*t32287+t31741; + t31952 = RATIONAL(-35.0,6.0); + t31770 = t31952*t32074; + t32286 = z*t31770; + t31970 = RATIONAL(28.0,9.0); + t30960 = t31970*t32519; + t32790 = t30960+t32076*t32286; + t32548 = z*t32070; + t32020 = RATIONAL(-49.0,9.0); + t32789 = y*t32548+t32020*t32522; + t32069 = RATIONAL(5.0,6.0); + t32444 = t32075*t32069; + t32265 = z*t32444; + t32055 = RATIONAL(-4.0,9.0); + t31110 = t32055*t32517; + t32788 = t32073*t32265+t31110; + t32561 = y*t31938; + t31487 = x*t32561; + t30911 = z*t31487; + t32036 = RATIONAL(-1.0,9.0); + t32413 = t32074*t32036; + t32257 = z*t32413; + t32787 = t30911+x*t32257; + t31999 = RATIONAL(-7.0,18.0); + t31602 = t31999*t32565; + t30959 = z*t31602; + t32786 = t30959+t32076*t32233; + t32452 = t32075*t31914; + t31244 = t32073*t32452; + t30693 = t31922*t32517; + t32785 = z*t31244+t30693; + t31923 = RATIONAL(35.0,72.0); + t31272 = t31923*t32434; + t31771 = t31999*t32075; + t32247 = z*t31771; + t30916 = t32073*t32247; + t32784 = t31272+t30916; + t31997 = RATIONAL(-7.0,54.0); + t32393 = t31997*t32076; + t31626 = t32073*t32393; + t31879 = RATIONAL(35.0,24.0); + t32783 = t31879*t32287+t31626; + t32782 = t31913*t32287+t31752; + t31842 = RATIONAL(-35.0,72.0); + t32430 = t32074*t31842; + t31268 = t32075*t32430; + t32781 = z*t31268+t31614; + t31908 = RATIONAL(49.0,72.0); + t32289 = t31908*t32574; + t32011 = RATIONAL(-7.0,24.0); + t32534 = z*t32011; + t32780 = (t32289+t32534)*x; + t31912 = RATIONAL(1.0,144.0); + t32355 = t31912*t32073; + t31319 = t32075*t32355; + t32272 = t31922*t32574; + t30781 = t32076*t32272; + t32779 = t31319+t30781; + t31916 = RATIONAL(-1.0,144.0); + t32304 = t32074*t31916; + t31322 = t32075*t32304; + t32255 = z*t32479; + t30813 = t31882*t32255; + t32778 = t31322+t30813; + t31926 = RATIONAL(-1.0,18.0); + t32363 = t31926*t32076; + t32238 = z*t32363; + t30973 = t32074*t32238; + t31906 = RATIONAL(7.0,216.0); + t32370 = t31906*t32073; + t31342 = t32075*t32370; + t32777 = t30973+t31342; + t32776 = t31908*t32522+y*t32534; + t32026 = RATIONAL(-7.0,27.0); + t32471 = t32026*t32076; + t31638 = t32073*t32471; + t31950 = RATIONAL(7.0,12.0); + t32538 = z*t31950; + t32277 = t32075*t32538; + t32775 = t32074*t32277+t31638; + t32317 = t32074*t32015; + t32593 = x*z; + t32019 = RATIONAL(-1.0,24.0); + t32547 = t32019*x; + t32774 = t32317*t32593+z*t32547; + t32506 = t31938*t32074; + t32258 = z*t32506; + t30890 = t32076*t32258; + t31907 = RATIONAL(-7.0,108.0); + t32320 = t32075*t31907; + t32773 = t30890+t32073*t32320; + t31934 = RATIONAL(-10.0,9.0); + t32772 = t31934*t32268+t31110; + t32771 = t31415+t31934*t32287; + t32279 = z*t32452; + t32770 = t32074*t32279+t31847*t32479; + t30896 = t31999*t32298; + t32769 = t30896+t32073*t32377; + t32768 = t31985*t32298+t31964*t32555; + t32274 = t32040*t32574; + t32767 = t32076*t32274+t30944; + t32382 = t31869*t32073; + t32766 = z*t31322+t32076*t32382; + t32324 = t31992*t32076; + t31553 = t32074*t32324; + t32765 = t32076*t32537+z*t31553; + t31887 = RATIONAL(-5.0,216.0); + t32400 = t32075*t31887; + t32764 = t32073*t32400+t30890; + t32763 = t31864*t32575+t31793*t32268; + t31226 = RATIONAL(-98.0,27.0)*t32479; + t32762 = RATIONAL(28.0,3.0)*t32287+t31226; + t31881 = RATIONAL(-35.0,24.0); + t31936 = RATIONAL(7.0,27.0); + t32350 = t32076*t31936; + t31649 = t32073*t32350; + t32761 = t31881*t32287+t31649; + t32476 = t32075*t31923; + t31477 = t32073*t32476; + t32760 = t30896+t31477; + t31967 = RATIONAL(64.0,9.0); + t30885 = t31967*t32519; + t31910 = RATIONAL(160.0,9.0); + t32759 = t30885+t31910*t32298; + t32455 = t32073*t31887; + t32432 = t32075*t32068; + t32267 = z*t32432; + t32758 = t32074*t32267+t32076*t32455; + t32054 = RATIONAL(1.0,6.0); + t31786 = t32054*t32075; + t31987 = RATIONAL(1.0,36.0); + t32586 = t31987*x; + t32521 = z*t32586; + t30937 = y*t32521; + t32757 = t31786*t32592+t30937; + t32010 = RATIONAL(1.0,48.0); + t32296 = t32010*t32574; + t31918 = RATIONAL(1.0,288.0); + t32520 = t31918*t32592; + t30750 = x*t32520; + t32756 = x*t32296+t30750; + t32755 = t32841*t31995; + t31961 = RATIONAL(35.0,9.0); + t31659 = t31961*t32572; + t31821 = RATIONAL(245.0,72.0); + t31197 = t31821*t32490; + t32754 = t31659+t31197; + t31883 = RATIONAL(5.0,108.0); + t32308 = t32075*t31883; + t32753 = t32073*t32308+t30973; + t31837 = RATIONAL(35.0,18.0); + t32312 = t31837*t32076; + t31429 = t32073*t32312; + t32752 = RATIONAL(-49.0,12.0)*t32287+t31429; + t31843 = RATIONAL(5.0,144.0); + t32751 = t31843*t32490+t30781; + t32037 = RATIONAL(4.0,9.0); + t32300 = t32037*t32076; + t31115 = t32300*t32592; + t32039 = RATIONAL(-5.0,6.0); + t32484 = t32074*t32039; + t32281 = z*t32484; + t32750 = t31115+t32076*t32281; + t31946 = RATIONAL(56.0,9.0); + t30914 = t31946*t32255; + t32388 = t32074*t32020; + t32749 = t30914+t32075*t32388; + t32748 = RATIONAL(-160.0,27.0)*t32479+RATIONAL(280.0,9.0)*t32287; + t31949 = RATIONAL(7.0,36.0); + t31546 = t31949*t32435; + t31986 = RATIONAL(-1.0,27.0); + t32351 = t31986*t32076; + t31558 = t32073*t32351; + t32747 = z*t31546+t31558; + t32544 = z*t31882; + t32515 = y*t32544; + t30815 = t32076*t32515; + t32422 = t32074*t31838; + t31332 = t32076*t32422; + t32746 = t30815+z*t31332; + t32402 = t32051*t32073; + t32745 = t31969*t32268+z*t32402; + t31360 = RATIONAL(-70.0,27.0)*t32479; + t32744 = t31360+RATIONAL(70.0,3.0)*t32287; + t31846 = RATIONAL(49.0,36.0); + t32481 = t31846*t32073; + t30690 = t32481*t32593; + t32743 = z*t31197+t30690; + t31940 = RATIONAL(-1.0,48.0); + t32270 = t31940*t32574; + t31874 = RATIONAL(7.0,432.0); + t32407 = t31874*t32073; + t31330 = t32076*t32407; + t32742 = t32075*t32270+t31330; + t32741 = t32041*t32298+t31841*t32490; + t32049 = RATIONAL(8.0,9.0); + t31700 = t32049*t32565; + t31035 = z*t31700; + t31971 = RATIONAL(-16.0,9.0); + t32740 = t31035+t31971*t32298; + t32046 = RATIONAL(-5.0,9.0); + t31778 = t32046*t32075; + t32045 = RATIONAL(-2.0,9.0); + t32542 = t32045*x; + t31116 = t32542*t32592; + t32739 = t31116+t31778*t32592; + t32459 = t32074*t32069; + t32290 = z*t32459; + t31114 = t32055*t32519; + t32738 = t31114+t32076*t32290; + t32737 = x*t32548+t32388*t32593; + t32012 = RATIONAL(-5.0,36.0); + t32527 = y*t32012; + t31633 = t32075*t32527; + t31817 = RATIONAL(-35.0,288.0); + t32379 = t32073*t31817; + t32736 = t32075*t32379+t31633; + t31707 = t32074*t32336; + t30819 = y*t32238; + t32735 = z*t31707+t30819; + t31889 = RATIONAL(-5.0,108.0); + t32734 = t32841*t31889; + t32028 = RATIONAL(-5.0,18.0); + t32323 = t32028*t32073; + t31552 = t32076*t32323; + t32733 = t31908*t32287+t31552; + t32262 = z*t32422; + t32732 = t32076*t32355+t32075*t32262; + t32509 = t31944*t32073; + t32731 = z*t32509+t31863*t32268; + t32416 = t32011*t32076; + t32730 = z*t32416+t32076*t32289; + t32058 = RATIONAL(-7.0,3.0); + t32579 = z*t32058; + t31979 = RATIONAL(49.0,9.0); + t32729 = y*t32579+t31979*t32522; + t31975 = RATIONAL(-8.0,27.0); + t32359 = t32073*t31975; + t32728 = t31837*t32287+t32076*t32359; + t32727 = t30914+t32074*t32326; + t31695 = t31951*t32572; + t32581 = z*t32044; + t32726 = z*t31695+y*t32581; + t32725 = RATIONAL(5.0,1.0)*t32287+RATIONAL(-245.0,216.0)*t32479; + t31238 = RATIONAL(98.0,27.0)*t32479; + t32724 = RATIONAL(-70.0,3.0)*t32287+t31238; + t31880 = RATIONAL(-35.0,18.0); + t32309 = t31880*t32076; + t31426 = t32073*t32309; + t32723 = t31426+RATIONAL(245.0,24.0)*t32287; + t32587 = t32019*z; + t32722 = (t32266+t32587)*y; + t32248 = t31876*t32574; + t32721 = t32075*t32382+t32076*t32248; + t32564 = z*t32056; + t31744 = y*t32564; + t32720 = t32040*t32522+t31744; + t31878 = RATIONAL(-7.0,864.0); + t32396 = t31878*t32073; + t31264 = t32076*t32396; + t32719 = t31264+t32010*t32287; + t31111 = t32049*t32255; + t31848 = RATIONAL(-49.0,27.0); + t32718 = t31111+t31848*t32435; + t31815 = RATIONAL(49.0,144.0); + t32717 = t31815*t32479+RATIONAL(-35.0,16.0)*t32287; + t31955 = RATIONAL(70.0,9.0); + t31568 = t31955*t32434; + t32716 = z*t31568+t30960; + t30803 = t31922*t32268; + t32381 = t32074*t31843; + t32715 = t32076*t32381+t30803; + t30982 = t31926*t32268; + t32714 = t31883*t32434+t30982; + t32713 = RATIONAL(-245.0,288.0)*t32479+RATIONAL(35.0,16.0)*t32287; + t31866 = RATIONAL(20.0,27.0); + t32712 = t31866*t32434+t31917*t32585; + t31172 = t32076*t32379; + t31937 = RATIONAL(7.0,48.0); + t32235 = t31937*t32574; + t32711 = t32075*t32235+t31172; + t32361 = t32003*t32073; + t32231 = t31957*t32574; + t30934 = t32076*t32231; + t32710 = t32075*t32361+t30934; + t32013 = RATIONAL(-1.0,72.0); + t32709 = t30795+t32013*t32434; + t31904 = RATIONAL(-49.0,48.0); + t30655 = RATIONAL(343.0,288.0)*t32255; + t32708 = t31904*t32268+t30655; + t32591 = x*y; + t32590 = z*t32591; + t30884 = RATIONAL(-32.0,9.0)*t32590; + t31977 = RATIONAL(-80.0,9.0); + t32707 = t31977*t32523+t30884; + t32706 = t32075*t32257+t32076*t32370; + t32023 = RATIONAL(98.0,9.0); + t32030 = RATIONAL(-14.0,3.0); + t32549 = z*t32030; + t32705 = t32023*t32268+t32073*t32549; + t32576 = t32053*y; + t31779 = t32072*t32075; + t32261 = z*t31779; + t32704 = y*t32261+z*t32576; + t32703 = t31216+t31970*t32287; + t32702 = t30916+t31981*t32434; + t31827 = RATIONAL(-49.0,288.0); + t32237 = t31827*t32555; + t31928 = RATIONAL(5.0,48.0); + t32477 = t32075*t31928; + t32701 = t32074*t32237+t32073*t32477; + t32700 = RATIONAL(16.0,27.0)*t32479+t31880*t32287; + t31380 = t32076*t32304; + t30768 = t31918*t32519; + t32699 = z*t31380+t30768; + t30749 = x*t32515; + t32698 = x*t32262+t30749; + t32518 = y*t32577; + t30809 = t32076*t32518; + t32697 = t32076*t32270+t30809; + t31706 = t32072*t32479; + t32696 = t31706+RATIONAL(-245.0,24.0)*t32287; + t30766 = t31922*t32255; + t31898 = RATIONAL(5.0,288.0); + t32374 = t32074*t31898; + t32695 = t32075*t32374+t30766; + t32273 = t32074*t32544; + t30774 = t32076*t32273; + t32390 = t32075*t31847; + t32694 = t32073*t32390+t30774; + t30676 = y*t32237; + t32693 = t31904*t32298+t30676; + t32442 = t32076*t32036; + t31703 = t32073*t32442; + t32692 = t31703+t31846*t32287; + t31819 = RATIONAL(35.0,216.0); + t32307 = t32076*t31819; + t31147 = t32073*t32307; + t32357 = t32039*t32075; + t32242 = z*t32357; + t32691 = t31147+t32074*t32242; + t30789 = z*t31272; + t32690 = t30789+t32075*t32323+t31625; + t32066 = RATIONAL(5.0,3.0); + t32588 = x*t32037; + t32516 = z*t32588; + t31068 = y*t32516; + t32032 = RATIONAL(-5.0,27.0); + t32552 = x*t32032; + t32503 = t31068+y*t32552; + t32689 = t31190+t32503+t32066*t32287; + t31670 = t31955*t32490; + t30821 = z*t31670; + t32688 = t30821+t31993*t32434+t32009*t32585; + t30714 = t32076*t32278; + t31589 = t32075*t32561; + t32687 = t31244+t30714+t31589; + t32530 = x*t32003; + t30940 = t32530*t32592; + t32525 = x*t31981; + t31566 = y*t32525; + t32510 = t30940+t31566; + t31852 = RATIONAL(35.0,36.0); + t32395 = t32075*t31852; + t31410 = t32074*t32395; + t32686 = t32510+z*t31410+t31552; + t31853 = RATIONAL(-7.0,432.0); + t32418 = t31853*t32076; + t32685 = t32074*t32418+t31869*t32585+t32010*t32268; + t31963 = RATIONAL(-5.0,12.0); + t31760 = t31963*t32074; + t32243 = z*t31760; + t31935 = RATIONAL(-1.0,36.0); + t30946 = t31935*t32590; + t31577 = t31984*t32591; + t32684 = t32075*t32243+t30946+t31577+t31649; + t31799 = RATIONAL(280.0,27.0); + t31900 = RATIONAL(-160.0,9.0); + t31795 = RATIONAL(-140.0,27.0); + t32683 = t31795*t32585+t31900*t32268+t31799*t32434; + t31806 = RATIONAL(-245.0,72.0); + t31155 = t31806*t32490; + t32682 = x*t32484+t32066*t32434+z*t31155; + t31087 = t32073*t32261; + t32306 = t32074*t32012; + t31497 = x*t32306; + t32681 = t32076*t32306+t31087+t31497; + t31759 = t32006*t32075; + t32680 = t30714+t31814*t32490+y*t31759; + t32679 = RATIONAL(175.0,24.0)*t32287+t31741+y*t32588; + t31803 = RATIONAL(-245.0,96.0); + t31851 = RATIONAL(35.0,48.0); + t32678 = y*t32444+t31851*t32490+t31803*t32298; + t31877 = RATIONAL(-1.0,432.0); + t32677 = z*t31319+t31877*t32844; + t32533 = x*t31947; + t32676 = t31972*t32268+(t32533+t32415)*t32074; + t31856 = RATIONAL(-35.0,54.0); + t32675 = t31988*t32268+t31856*t32844; + t32038 = RATIONAL(5.0,9.0); + t32462 = t32075*t32038; + t31373 = t32076*t32430; + t30798 = z*t31373; + t32674 = t32028*t32572+t32073*t32462+t30798; + t30991 = t31968*t32268; + t31840 = RATIONAL(-28.0,27.0); + t32673 = t30991+t31840*t32434+t31890*t32585; + t30787 = t31909*t32268; + t32672 = x*t32413+t30787+t31553; + t32245 = t32075*t32559; + t32671 = t31447+t32074*t32245+t31912*t32591; + t32385 = t32074*t31951; + t32364 = t31983*t32076; + t32670 = t30821+t32074*t32364+x*t32385; + t31669 = t32074*t32525; + t31078 = t32070*t32268; + t32669 = t31913*t32434+t31669+t31078; + t32437 = t32073*t32008; + t32293 = t31972*t32574; + t32668 = t32076*t32293+t32075*t32437+t31947*t32572; + t31828 = RATIONAL(-49.0,216.0); + t32365 = t31828*t32073; + t32297 = t32074*t32564; + t31091 = t32076*t32297; + t32667 = t31906*t32572+t31091+t32075*t32365; + t32539 = x*t32026; + t32512 = t31068+y*t32539; + t32666 = RATIONAL(-5.0,1.0)*t32287+RATIONAL(343.0,216.0)*t32479+t32512; + t30701 = z*t31477; + t32665 = t30701+t31669+t32028*t32434; + t32578 = x*t31906; + t31158 = t32076*t32365; + t32249 = t32075*t32545; + t32664 = y*t32578+t32074*t32249+t31158; + t31007 = t31937*t32268; + t31834 = RATIONAL(-35.0,144.0); + t32663 = x*t32381+t31834*t32434+t31007; + t31894 = RATIONAL(-1.0,108.0); + t32558 = t31894*y; + t31362 = x*t32558; + t32021 = RATIONAL(5.0,12.0); + t32259 = t32021*t32582; + t32662 = t32074*t32259+t31626+t31362; + t31080 = t32058*t32268; + t32391 = t31846*t32076; + t31557 = t32074*t32530; + t32661 = t31080+t31557+t32074*t32391; + t31850 = RATIONAL(1.0,108.0); + t32571 = t31850*y; + t31233 = x*t32571; + t32660 = RATIONAL(-49.0,864.0)*t32479+t30946+t31233+RATIONAL(5.0,16.0)* +t32287; + t32659 = t31981*t32287+t31233+t31492; + t31902 = RATIONAL(7.0,108.0); + t32325 = t31902*t32073; + t31736 = t32076*t32413; + t31093 = z*t31736; + t32658 = t31093+t31902*t32572+t32075*t32325; + t31539 = y*t32533; + t32657 = t31539+RATIONAL(49.0,432.0)*t32479+RATIONAL(-5.0,16.0)*t32287; + t32656 = RATIONAL(56.0,27.0)*t32591+RATIONAL(50.0,3.0)*t32287+t31226; + t31945 = RATIONAL(-35.0,9.0); + t31578 = t31945*t32585; + t31931 = RATIONAL(-70.0,9.0); + t31758 = t31931*t32075; + t31590 = t32073*t31758; + t30924 = z*t31590; + t32655 = t31578+t30924+t31568; + t31942 = RATIONAL(-5.0,48.0); + t32654 = t31815*t32268+t32841*t31942; + t32031 = RATIONAL(4.0,27.0); + t32546 = y*t32031; + t32653 = x*t32546+RATIONAL(25.0,24.0)*t32287+t31638; + t31892 = RATIONAL(49.0,48.0); + t32342 = t32074*t31928; + t32652 = t31892*t32268+t31896*t32434+x*t32342; + t31941 = RATIONAL(-20.0,9.0); + t32651 = t31336+t31941*t32287+t32512; + t31507 = t32075*t32306; + t32650 = t31539+z*t31507+t31542; + t32252 = t32075*t32534; + t32649 = t31151+t32074*t32252+t31847*t32591; + t31029 = t32073*t32242; + t32648 = t31829*t32434+t31029+t31936*t32585; + t31885 = RATIONAL(35.0,12.0); + t32346 = t31885*t32075; + t31279 = t32074*t32346; + t31603 = x*t32527; + t32647 = t31603+z*t31279+t31426; + t31982 = RATIONAL(-5.0,96.0); + t32646 = t31874*t32434+t31982*t32268+t31984*t32585; + t32280 = t32074*t32556; + t30963 = t32076*t32280; + t32645 = t30963+y*t32390+t31804*t32490; + t32644 = t31264+t31362+t31928*t32287; + t30929 = t31952*t32268; + t32643 = t31852*t32434+x*t32441+t30929; + t31980 = RATIONAL(35.0,6.0); + t32244 = t31980*t32582; + t30950 = t32073*t32244; + t32642 = t31825*t32434+t30950+t31954*t32585; + t31573 = t31931*t32434; + t30932 = z*t31573; + t31689 = t31945*t32572; + t32641 = t30932+t31670+t31689; + t31811 = RATIONAL(-245.0,54.0); + t32640 = t32022*t32268+t31811*t32434+x*t32401; + t31857 = RATIONAL(7.0,864.0); + t32473 = t31857*t32076; + t31219 = t32073*t32473; + t31893 = RATIONAL(-1.0,864.0); + t32580 = t31893*y; + t32639 = t32019*t32287+t31219+x*t32580; + t32335 = t32075*t31942; + t31516 = t32074*t32335; + t32638 = z*t31516+t31330+t31577; + t32637 = t31147+t32044*t32287+t31887*t32591; + t32319 = t32074*t31907; + t31104 = t32053*t32268; + t31810 = RATIONAL(49.0,108.0); + t32636 = t31810*t32434+t31104+x*t32319; + t31818 = RATIONAL(175.0,72.0); + t31905 = RATIONAL(-25.0,72.0); + t32635 = t31905*t32585+t31818*t32434+t31080; + t32275 = t31982*t32574; + t32634 = t32075*t32407+t32076*t32275+t31984*t32572; + t32557 = x*t31926; + t31519 = t32074*t32557; + t32467 = t32075*t31842; + t31345 = t32073*t32467; + t30806 = z*t31345; + t32633 = t31519+t31707+t30806; + t32017 = RATIONAL(-20.0,3.0); + t32271 = t32017*t32574; + t32526 = y*t31936; + t31641 = x*t32526; + t32632 = t32075*t32271+t31238+t31641; + t31901 = RATIONAL(-7.0,216.0); + t32409 = t32075*t31901; + t32631 = y*t32409+t32735; + t31082 = t32040*t32268; + t31665 = t31949*t32585; + t32299 = t31949*t32076; + t32630 = t31082+t31665+t32074*t32299; + t32368 = t31860*t32076; + t32629 = t32074*t32368+x*t32460+t30950; + t31732 = t32055*t32591; + t31077 = z*t31732; + t32062 = RATIONAL(-5.0,3.0); + t32628 = t32062*t32287+t31178+t31077+t31641; + t31150 = t31806*t32434; + t32488 = t32074*t31923; + t32627 = x*t32488+t31150+t31078; + t31763 = t31935*t32075; + t31698 = t32076*t32317; + t32411 = t31986*t32073; + t32626 = t31763+z*t31698+t32075*t32411+t32019*t32555; + t32445 = t32073*t31943; + t30831 = t32364*t32592; + t32543 = y*t31934; + t31505 = t32075*t32543; + t32625 = t30932+t30831+t32075*t32445+t31505; + t32358 = t31983*t32073; + t30925 = t32358*t32593; + t32443 = t32074*t31934; + t32624 = t30925+t30924+x*t32443+t31943*t32434; + t31782 = t32054*t32074; + t32071 = RATIONAL(2.0,9.0); + t32623 = t31782+t32071*t32434+t32731; + t32622 = t31770+t31573+t32705; + t32621 = t32070*t32074+t31970*t32434+t32803; + t32405 = t32075*t31921; + t32620 = t31759+t32073*t32405+t32808; + t32428 = t31789*t32076; + t32619 = t32788+(t32428+t32552)*t32074; + t32560 = y*t32032; + t32618 = t32738+(t32318+t32560)*t32075; + t32060 = RATIONAL(-5.0,4.0); + t31888 = RATIONAL(-49.0,24.0); + t31791 = RATIONAL(343.0,72.0); + t32617 = t31888*t32575+t32062*t32434+t31791*t32268+t32060*t32074; + t31802 = RATIONAL(35.0,108.0); + t32616 = t31802*t32490+y*t32405+t32750; + t31788 = RATIONAL(-35.0,108.0); + t32615 = t31883*t32585+t31788*t32434+t32798; + t31915 = RATIONAL(25.0,72.0); + t32349 = t32075*t31915; + t32614 = t32767+t32531*t32349; + t31833 = RATIONAL(-49.0,108.0); + t32613 = t31849*t32572+t31833*t32490+t32738; + t31976 = RATIONAL(25.0,6.0); + t32016 = RATIONAL(50.0,9.0); + t32612 = t31976*t32075+t32016*t32490+t32768; + t32562 = t32068*x; + t31710 = t32074*t32562; + t32333 = t32045*t32076; + t32345 = t31949*t32073; + t31018 = t32345*t32593; + t32611 = t30701+t31710+t31018+t32074*t32333; + t32458 = t32015*t32073; + t31515 = t32075*t32458; + t30780 = t32076*t32514; + t32610 = t31515+t30963+t30780+t32013*t32572; + t32389 = t32076*t31917; + t32002 = RATIONAL(5.0,27.0); + t32553 = x*t32002; + t32344 = t32037*t32073; + t31102 = t32344*t32593; + t32609 = t30991+t31102+(t32389+t32553)*t32074; + t31766 = t31999*t32074; + t32406 = t32074*t31849; + t32608 = t31766+t32076*t32406+t32815; + t31861 = RATIONAL(28.0,27.0); + t32607 = t31861*t32434+t31781+t32745; + t30802 = t31882*t32517; + t32447 = t32074*t31912; + t32606 = t31007+t31332+x*t32447+t30802; + t32605 = t31774+t31921*t32434+t32745; + t32604 = t32746+t32075*t32843; + t31862 = RATIONAL(-20.0,27.0); + t31776 = t32046*t32074; + t32603 = t31862*t32434+t31776+t32815; + t31767 = t31963*t32075; + t32602 = t31767+t32073*t31778+t32730; + t32601 = t32750+(t32526+t32315)*t32075; + t32600 = t32062*t32074+t31941*t32434+t32705; + t32599 = t31976*t32074+t32016*t32434+t32803; + t32302 = t32003*t32076; + t31005 = t32302*t32592; + t31514 = t31926*t32572; + t31708 = t32073*t32432; + t32598 = t31005+t30798+t31514+t31708; + t31953 = RATIONAL(-1.0,12.0); + t32485 = t32073*t32036; + t31748 = t32075*t32485; + t32597 = t31953*t32075+t31748+t32730; + t31387 = x*t32304; + t32596 = t31387+t31380+t32785; + t31348 = y*t32467; + t32595 = t31348+t31345+t32786; + t31932 = RATIONAL(-32.0,3.0); + t31839 = RATIONAL(224.0,9.0); + t31824 = RATIONAL(-280.0,27.0); + t32594 = t31824*t32490+t31839*t32298+t31758+t31932*t32555; + t32584 = t32071*y; + t32583 = t32028*x; + t32573 = t32013*x; + t32570 = t32044*x; + t32569 = x*t31901; + t32568 = y*t31968; + t32566 = z*RATIONAL(35.0,8.0); + t32563 = t31943*y; + t32551 = z*RATIONAL(-4.0,1.0); + t32550 = y*t31949; + t32541 = z*RATIONAL(-10.0,1.0); + t32540 = y*t31869; + t32529 = z*RATIONAL(-5.0,8.0); + t31681 = y*t32557; + t31002 = t31951*t32590; + t32513 = t31002+t31732; + t30936 = t32550*t32593; + t32511 = t30936+t31681; + t32423 = t31853*t32073; + t32508 = t30802+x*t32423; + t31768 = t31935*t32074; + t31014 = t31957*t32255; + t32507 = t31268+t31014; + t31683 = t31995*t32435; + t32505 = t31683+t30766; + t32504 = t31102+t32026*t32536; + t32502 = t31984*t32076; + t32500 = t31893*t32076; + t32499 = t31507+t31014; + t32043 = RATIONAL(7.0,6.0); + t32498 = t32043*t32075; + t32497 = t31857*t32073; + t32496 = t32076*t32563+t30831; + t32495 = t31984*t32073; + t31103 = t32041*t32255; + t32283 = t32049*t32574; + t32494 = t31103+t32076*t32283; + t32493 = t32044*t32076; + t32492 = t32028*t32076; + t31013 = t31999*t32255; + t32491 = t31013+t31410; + t31120 = t32584*t32593; + t32014 = RATIONAL(-4.0,27.0); + t32489 = t31120+t32014*t32591; + t31772 = t31952*t32075; + t30969 = t31935*t32517; + t32487 = t30969+t32074*t32521; + t32063 = RATIONAL(-7.0,6.0); + t32486 = t32063*t32075; + t31780 = t32062*t32075; + t30716 = t32391*t32592; + t32483 = t30716+t31602; + t32412 = t32076*t31901; + t31627 = t32076*t32561; + t30939 = z*t31627; + t32482 = y*t32412+t30939; + t31157 = RATIONAL(-175.0,18.0)*t32435; + t32480 = t30914+t31157; + t31019 = t32299*t32592; + t32478 = t31019+t31907*t32565; + t32475 = t31913*t32565+t30716; + t32474 = t32074*t32349+t31013; + t31899 = RATIONAL(-1.0,216.0); + t32470 = t31899*t32075; + t32469 = t31878*t32076; + t32465 = t32011*t32073; + t32464 = t32073+t32076; + t31871 = RATIONAL(1.0,864.0); + t30817 = x*t32518; + t32463 = t30817+t31871*t32591; + t31858 = RATIONAL(5.0,216.0); + t32461 = t31858*t32076; + t32457 = t32045*t32073; + t32303 = t31987*t32076; + t30957 = t32303*t32592; + t32456 = t31763*t32592+t30957; + t30876 = RATIONAL(32.0,9.0)*t32590; + t32454 = RATIONAL(-56.0,27.0)*t32591+t30876; + t32453 = t32073*t31849; + t31015 = t32361*t32593; + t32451 = x*t32410+t31015; + t32448 = t32073*t31819; + t32446 = t31970*t32073; + t32439 = t31947*t32076; + t30816 = t31876*t32517; + t32438 = t30816+t31871*t32536; + t32429 = t32075*t31889; + t31366 = t32074*t32429; + t30990 = t32076*t32239; + t32433 = t31366+t30990; + t31836 = RATIONAL(49.0,54.0); + t32427 = t31836*t32074; + t32065 = RATIONAL(5.0,8.0); + t32426 = t32075*t32065; + t31617 = y*t32553; + t32425 = t31077+t31617; + t32420 = t31019+t32076*t32527; + t30758 = t31918*t32517; + t32419 = t30758+x*t32248; + t32417 = t31487+t30940; + t32414 = t32075*t31905; + t30839 = t31935*t32519; + t32408 = t31987*t32522+t30839; + t32404 = t31941*t32073; + t30812 = t31876*t32255; + t32253 = t31918*t32574; + t32403 = t30812+t32076*t32253; + t32399 = t31898*t32073; + t32398 = t32076*t31828; + t32397 = x*t32382+t30816; + t31927 = RATIONAL(8.0,27.0); + t32394 = t31927*t32076; + t32387 = t31013+t31546; + t32386 = t32074*t31899; + t32384 = t32074*t32063; + t32378 = t31013+t32006*t32435; + t32339 = t31987*t32073; + t30935 = t32339*t32593; + t32376 = t30935+t31768*t32593; + t32337 = t32012*t32073; + t32375 = t31018+x*t32337; + t32000 = RATIONAL(5.0,72.0); + t32373 = t32074*t32000; + t32341 = t32073*t31877; + t30757 = t31918*t32255; + t32371 = t30757+t32076*t32341; + t32369 = t31893*t32073; + t32367 = t32074*t32038; + t32366 = t31944*t32076; + t32360 = t32073*t31901; + t32356 = t31871*t32076; + t32354 = t32075*t31917; + t32353 = t32074*t31902; + t32352 = t31898*t32076; + t32347 = t32075*t31877; + t32343 = t30813+t32073*t32418; + t32340 = t31902*t32076; + t31448 = t32075*t32360; + t31663 = y*t32502; + t32338 = t31448+t31663; + t32334 = RATIONAL(-25.0,36.0)*t32435+t31014; + t32329 = t31916*t32076; + t32328 = t32075*t31856; + t32327 = t32074*t31858; + t32322 = t32075*t31916; + t32321 = y*t32352+t30780; + t32316 = t31992*t32073; + t32314 = t32013*t32073; + t30883 = t32073*t32238; + t32313 = t30883+t32075*t32239; + t31978 = RATIONAL(-40.0,9.0); + t32310 = t31978*t32076; + t32305 = t31860*t32073; + t31607 = t31961*t32585; + t31959 = RATIONAL(5.0,96.0); + t32295 = t31959*t32574; + t31368 = x*t32430; + t32292 = t32053*t32574; + t32291 = z*t32443; + t32284 = z*t32373; + t32282 = t31980*t32574; + t31738 = t32036*t32572; + t32269 = t32075*t32544; + t31583 = t32003*t32572; + t31555 = t32075*t32550; + t31500 = t32075*t32568; + t31428 = t31912*t32572; + t31395 = y*t32322; + t32264 = z*t32488; + t32263 = t31827*t32575; + t31333 = y*t32476; + t31958 = RATIONAL(20.0,3.0); + t32256 = t31958*t32574; + t32250 = t32075*t32535; + t31721 = t32049*t32536; + t31687 = t31926*t32536; + t31599 = t31999*t32536; + t31540 = t31957*t32536; + t32236 = z*t32385; + t32234 = z*t32447; + t31919 = RATIONAL(-35.0,12.0); + t32232 = t31919*t32582; + t31974 = RATIONAL(-40.0,3.0); + t32230 = t31974*z+t32016; + t32229 = t31953*z+t31938; + t32228 = RATIONAL(25.0,8.0)+RATIONAL(-35.0,8.0)*z; + t32225 = t32587+t31995; + t32042 = RATIONAL(1.0,2.0); + t32224 = t32042+RATIONAL(-7.0,4.0)*z; + t30948 = z*t31599; + t32223 = t30911+x*t32297+t30948; + t32222 = z*t32366+t32076*t32276+t31014; + t30804 = t31865*t32268; + t30658 = t32073*t32254; + t32221 = t30804+t30658+t31018; + t30825 = t32076*t32282; + t31859 = RATIONAL(-49.0,18.0); + t30778 = t31859*t32255; + t32220 = t30831+t30825+t30778; + t32219 = t31116+t31005+y*t32259; + t30709 = RATIONAL(128.0,9.0)*t32255; + t32218 = t32076*t32554+t30709+t31875*t32298; + t30835 = z*t31514; + t32217 = t30937+t30957+t30835; + t32029 = RATIONAL(-56.0,9.0); + t30933 = t32029*t32255; + t32216 = t32023*t32298+t30933+t32076*t32549; + t32215 = t31015+t30937+t31782*t32593; + t32214 = t31059+x*t32236+z*t32570; + t30687 = t32073*t32237; + t32213 = t30815+t32076*t32235+t30687; + t32212 = x*t32280+t30673+t30769; + t30930 = t32446*t32593; + t32035 = RATIONAL(-8.0,3.0); + t32211 = t31077+t30930+t32035*t32523; + t30786 = t32305*t32593; + t32210 = t30936+t32043*t32523+t30786; + t31619 = t32075*t32316; + t32209 = t32073*t32537+z*t31619+t30990; + t30801 = t32076*t32285; + t32208 = t31005+t30801+t30687; + t32207 = z*t31748+t30995+t30990; + t30994 = t31969*t32590; + t32206 = t30930+z*t31578+t30994; + t32205 = t30778+t32814; + t31112 = z*t31721; + t32204 = t31112+(t32545+t32294)*x; + t31737 = t32069*t32435; + t30826 = z*t31589; + t32203 = t30839+t30826+t30946; + t32202 = t30658+t30693+t32073*t32240; + t32201 = t31111+t32772; + t30678 = x*t32263; + t32200 = x*t32285+t30940+t30678; + t32199 = t31115+t31103+t32076*t32251; + t31870 = RATIONAL(49.0,18.0); + t30776 = t31870*t32255; + t32198 = t30776+t32790; + t31372 = t32074*t32348; + t30765 = z*t31372; + t32197 = t30766+t30780+t30765; + t32196 = t30925+t31979*t32523+x*t32579; + t32195 = z*t32465+t31013+t31908*t32268; + t31435 = t32075*t32372; + t30783 = z*t31435; + t32194 = t30813+t30783+t30802; + t30656 = RATIONAL(-343.0,288.0)*t32255; + t30792 = t32368*t32592; + t31826 = RATIONAL(245.0,96.0); + t32193 = t30656+t31826*t32298+t30792; + t31653 = t32001*t32435; + t31570 = t32075*t32373; + t32192 = t30819+t32076*t32292+t31014; + t32191 = t30749+x*t32235+t30678; + t32190 = t30936+t30948+x*t32264; + t30941 = x*t32258; + t32189 = t30969+t30941+t30946; + t32188 = x*t32291+t31112+t31077; + t32187 = t31102+(t32274+t32564)*x; + t32186 = t31111+t32076*t32291+t31114; + t32185 = t30925+x*t32256+t30884; + t30915 = z*t31540; + t30901 = z*t31681; + t32184 = t30915+t30901+x*t32292; + t31405 = t32073*t32322; + t30859 = z*t31519; + t32183 = t30935+t30859+t30937; + t32182 = t30933+t32716; + t31191 = RATIONAL(-175.0,24.0)*t32435; + t31163 = RATIONAL(245.0,18.0)*t32435; + t30734 = RATIONAL(-128.0,9.0)*t32255; + t30838 = t31967*t32517; + t32181 = t30734+t30838+t31910*t32268; + t31105 = z*t31708; + t31004 = z*t31687; + t32180 = t30883+t31105+t31004; + t32179 = t30915+(t32276+t32559)*x; + t32178 = t31885*t32523+t30786+t30994; + t31317 = t31912*t32434; + t32177 = t30959+t30776+t32058*t32298; + t32176 = z*t31387+t30758+t30750; + t31171 = t31821*t32434; + t32175 = t30862+t31903*t32523+x*t32524; + t32174 = z*t32493+t31103+t32076*t32236; + t32173 = t30901+z*t31710+t31004; + t32172 = t30939+t31992*t32522+y*t32537; + t31884 = RATIONAL(-49.0,54.0); + t32170 = t31884*t32075+t31957; + t32169 = t31884*t32074+t31957; + t32168 = t32075*t32314+t30774+t32505; + t32167 = z*t31163+t32073*t32310+t32480; + t32166 = t31703+t32075*t32264+t32499; + t31381 = t32074*t32347; + t32165 = t32076*t32369+t30757+t32075*t32234+t31381; + t32164 = t31158+z*t31737+t32507; + t31440 = t32074*t32328; + t32163 = t31440+t31111+t32075*t32236+t31385; + t31239 = t32075*t32327; + t32162 = t31239+t31887*t32434+t32313; + t32161 = t31219+t32075*t32275+t32695; + t32160 = t32076*t32342+t32075*t32263+t30658+t31516; + t32159 = t30803+t31317+t32778; + t32158 = t32073*t32414+t30934+t32474; + t31456 = t32075*t32353; + t32157 = t31456+t32076*t32319+t32313; + t30909 = t31957*t32268; + t32156 = t30909+t32074*t32302+t32387; + t31364 = t32074*t32431; + t32155 = t31364+t31959*t32287+t32343; + t32154 = t31905*t32434+t30909+t32474; + t31460 = t31906*t32434; + t31221 = t32074*t32409; + t32153 = t31460+t30990+t30982+t31221; + t32152 = z*t31570+t31558+t32433; + t31996 = RATIONAL(5.0,24.0); + t31621 = t31996*t32435; + t32151 = t31619+t31738+t31621+t32208; + t32150 = t32075*t32305+t31279+t31692+t32220; + t31531 = t31999*t32435; + t32149 = t31531+t31786+t32071*t32490+t32222; + t31517 = t31953*t32435; + t32148 = t31698+t32074*t32573+t31517+t32202; + t32147 = t31802*t32434+t31029+t31921*t32585+t31102+t32334; + t32146 = t31833*t32434+x*t32406+t32491+t32788; + t31868 = RATIONAL(-25.0,12.0); + t31408 = t31868*t32435; + t32145 = t31408+t32073*t32395+t31500+t32198; + t32144 = t31019+y*t32432+t30789+t32075*t32457+t32378; + t31327 = t32074*t32412; + t32143 = t31327+t31456+t32074*t32569+t32180; + t31401 = RATIONAL(-25.0,16.0)*t32435; + t32142 = t31851*t32434+x*t32459+t30690+t30655+t31803*t32268+t31401; + t32141 = y*t32414+t31408+t31818*t32490+t32177; + t32140 = t31395+t31683+t31405+t32197; + t31556 = t31997*t32435; + t32139 = t32074*t32340+x*t32353+t31556+t32207; + t32138 = t31804*t32434+x*t32332+t31516+t32202; + t32137 = t31555+t31531+t31014+t32075*t32345+t32767; + t32136 = t30915+t31082+t32334+t32841*t31915; + t32135 = t31366+t32207+t32589*t32327; + t31891 = RATIONAL(1.0,216.0); + t31443 = t31891*t32435; + t32134 = t31443+t30809+t30812+z*t31317+t32075*t32341+y*t32347; + t32133 = t31887*t32585+t31104+t32074*t32307+t31004+t32499; + t31320 = RATIONAL(-25.0,48.0)*t32435; + t32132 = t31603+t31320+t30936+t31172+t31851*t32287+t30658; + t32131 = t32387+t32798+(t32398+t32578)*t32074; + t31536 = RATIONAL(5.0,54.0)*t32435; + t32130 = t32735+t30883+t31536+t32531*t32429; + t32129 = t31607+t31191+t31171+t30776+t30929+t30930; + t32128 = t31435+t31428+t31653+t32213; + t31694 = t31935*t32435; + t32127 = x*t32540+z*t31653+t30817+t31694+t32343; + t32126 = t32066*t32490+t31408+t30776+y*t32357+t30792+z*t31150; + t32125 = t32749+t32768+(t32446+t32070)*t32075; + t31390 = RATIONAL(-25.0,27.0)*t32435; + t32124 = t31866*t32490+t31390+y*t32354+t32186; + t31685 = t31961*t32435; + t32123 = t31035+t30933+t31841*t32572+t31811*t32490+t31685+t32022*t32298; + t31724 = t32075*t32384; + t32122 = t31583+t31724+t32075*t32481+t32177; + t32121 = t31861*t32490+t31779+t32718+t32808; + t31822 = RATIONAL(140.0,27.0); + t31797 = RATIONAL(245.0,54.0); + t32120 = t31822*t32585+t30838+t31974*t32268+t31797*t32434+t32480; + t31167 = RATIONAL(490.0,27.0)*t32435; + t32119 = t31167+t31824*t32434+t31839*t32268+t30734+t31932*t32575+t31931* +t32074; + t32118 = t32075*t32399+t31364+t30813+t31898*t32572+t32746; + t32117 = t31953*t32074+t31546+t31736+t32195; + t32116 = x*t32506+t31372+t31516+t32221; + t32115 = t32505+t32076*t32296+t30768+(t32540+t32423)*t32075; + t32114 = t30687+t31621+t30676+t31815*t32298+t32531*t32335; + t32113 = t31843*t32572+t31834*t32490+t31621+t32213; + t32112 = t31706+t30778+t32074*t32232+t31737+t32417; + t32111 = t31531+t31810*t32490+y*t32320+t32192; + t31873 = RATIONAL(25.0,54.0); + t31225 = t31873*t32435; + t32110 = t32002*t32572+t32073*t32354+t31225+t32199; + t32109 = t31440+t31890*t32434+t32074*t32539+t32201; + t31711 = t32074*t32426; + t32108 = t31711+t30656+t30679+t31892*t32298+y*t32477+t31896*t32490; + t32107 = t32433+t30939+t31093+t31858*t32227; + t32106 = t31087+t31368+t30948+t31373+t32491; + t32105 = t31360+t32075*t32256+t32503+t32727; + t32104 = t31364+x*t32374+t32074*t32352+t32194; + t31315 = t32075*t32427; + t32103 = t31315+t31771+t32075*t32453+t32174; + t31193 = RATIONAL(125.0,18.0)*t32435; + t32102 = RATIONAL(-40.0,27.0)*t32591+t31248+t30876+t31193+t30933+RATIONAL +(-50.0,3.0)*t32287; + t32101 = t31268+t32222+(t32330+t31996)*t32075; + t32100 = t31685+t31780+t32075*t32404+t32216; + t32099 = t31797*t32490+t30885+t31822*t32572+t31974*t32298+t32480; + t32098 = t32019*t32575+t31456+t30883+t32074*t32351+z*t31515+t31768; + t32097 = t31163+t31590+t31772+t32216; + t32096 = t31633+t32075*t32337+t32378+t32786; + t31194 = RATIONAL(125.0,24.0)*t32435; + t32095 = x*t32543+t30778+t31194+z*t31191+t31002+t31429; + t32094 = t31015+t30806+t32074*t32583+t32076*t32367+t32334; + t31855 = RATIONAL(35.0,27.0); + t31273 = t31855*t32435; + t32093 = t31862*t32490+t31778+t31273+t32174; + t32092 = t31695+t32075*t32358+t31685+t32182; + t31960 = RATIONAL(-2.0,27.0); + t32091 = t31120+RATIONAL(-25.0,24.0)*t32287+t31569+t31960*t32591+t32474; + t31886 = RATIONAL(25.0,96.0); + t31253 = t31886*t32435; + t32090 = t31015+t31817*t32434+t30787+t30687+t31497+t31253; + t32089 = t31440+t32075*t32466+t32026*t32572+t32186; + t31124 = RATIONAL(-350.0,27.0)*t32435; + t32088 = t31795*t32572+t31124+t31799*t32490+t30709+t31900*t32298+t30889; + t32087 = t31279+t31155+t31333+t32205; + t32086 = t32785+t30766+t31570+t32841*t31911; + t32085 = t31988*t32298+t31103+t31067+t31273+t32531*t32328; + t32084 = t32006*t32434+t31996*t32074+t32507+t32731; + t32083 = t31507+t32075*t32448+y*t32400+t32192; + t32082 = t31279+t32060*t32075+t30778+t31888*t32555+t31791*t32298+t32073* +t31780; + t32081 = y*t32308+t31091+t30939+t31788*t32490+t32378; + t32080 = t32046*t32434+t31410+t31760+t32195; + t32079 = t31890*t32572+t31840*t32490+t31273+t32199; + t32067 = RATIONAL(4.0,1.0); + t32061 = RATIONAL(-1.0,6.0); + t32059 = RATIONAL(4.0,3.0); + t32057 = RATIONAL(7.0,4.0); + t32052 = RATIONAL(-1.0,4.0); + t32050 = RATIONAL(-4.0,3.0); + t32048 = RATIONAL(1.0,4.0); + t32034 = RATIONAL(8.0,3.0); + t32025 = RATIONAL(-49.0,6.0); + t32018 = RATIONAL(-5.0,24.0); + t32005 = RATIONAL(2.0,27.0); + t32004 = RATIONAL(-56.0,3.0); + t31998 = RATIONAL(10.0,1.0); + t31994 = RATIONAL(-10.0,3.0); + t31991 = RATIONAL(1.0,12.0); + t31989 = RATIONAL(10.0,3.0); + t31966 = RATIONAL(49.0,6.0); + t31962 = RATIONAL(-25.0,6.0); + t31929 = RATIONAL(56.0,3.0); + t31924 = RATIONAL(40.0,9.0); + t31897 = RATIONAL(-80.0,27.0); + t31895 = RATIONAL(-25.0,54.0); + t31872 = RATIONAL(80.0,27.0); + t31867 = RATIONAL(-25.0,96.0); + t31854 = RATIONAL(49.0,27.0); + t31845 = RATIONAL(-35.0,27.0); + t31844 = RATIONAL(25.0,12.0); + t31832 = RATIONAL(-392.0,27.0); + t31831 = RATIONAL(343.0,54.0); + t31830 = RATIONAL(392.0,27.0); + t31820 = RATIONAL(175.0,96.0); + t31816 = RATIONAL(-175.0,96.0); + t31813 = RATIONAL(196.0,27.0); + t31812 = RATIONAL(100.0,27.0); + t31809 = RATIONAL(-112.0,27.0); + t31808 = RATIONAL(-100.0,27.0); + t31807 = RATIONAL(-175.0,54.0); + t31805 = RATIONAL(200.0,27.0); + t31801 = RATIONAL(175.0,54.0); + t31800 = RATIONAL(-343.0,54.0); + t31798 = RATIONAL(-196.0,27.0); + t31796 = RATIONAL(112.0,27.0); + t31787 = RATIONAL(-200.0,27.0); + t31754 = y*t32336; + t31749 = t32068*t32536; + t31705 = x*t32485; + t31704 = y*t32442; + t31693 = x*t32568; + t31674 = t31941*t32565; + t31673 = t32032*t32536; + t31662 = y*t32471; + t31657 = t31997*t32536; + t31644 = t32005*t32591; + t31637 = t31981*t32565; + t31636 = t32002*t32536; + t31634 = t31975*t32565; + t31632 = t32024*t32565; + t31629 = t32014*t32565; + t31616 = t31936*t32536; + t31608 = x*t32404; + t31606 = y*t32439; + t31598 = t32073*t32525; + t31595 = t32076*t32546; + t31588 = x*t32411; + t31585 = t31924*t32479; + t31582 = t32076*t32560; + t31579 = x*t32495; + t31576 = t32006*t32565; + t31574 = y*t32393; + t31571 = t31927*t32536; + t31559 = y*t32492; + t31551 = y*t32351; + t31545 = x*t32445; + t31538 = y*t32415; + t31535 = x*t32436; + t31533 = x*t32437; + t31532 = y*t32350; + t31530 = x*t32323; + t31528 = y*t32394; + t31527 = x*t32359; + t31525 = t32014*t32536; + t31508 = t32073*t32394; + t31506 = y*t32363; + t31495 = t32031*t32536; + t31488 = t32002*t32565; + t31484 = t31971*t32479; + t31482 = x*t32440; + t31481 = x*t32330; + t31476 = t31858*t32536; + t31475 = x*t32449; + t31474 = t31854*t32536; + t31473 = y*t32461; + t31469 = t31897*t32536; + t31467 = t32076*t32540; + t31466 = t31852*t32536; + t31462 = x*t32396; + t31461 = t31852*t32565; + t31458 = t32073*t32461; + t31453 = y*t32418; + t31452 = t32076*t32558; + t31442 = t31854*t32565; + t31433 = y*t32340; + t31425 = x*t32355; + t31424 = x*t32407; + t31417 = t31921*t32565; + t31416 = x*t32453; + t31413 = t31838*t32565; + t31411 = x*t32301; + t31409 = t32076*t32360; + t31407 = t31872*t32536; + t31406 = x*t32325; + t31402 = x*t32360; + t31400 = y*t32569; + t31397 = t31912*t32565; + t31386 = y*t32356; + t31384 = y*t32389; + t31382 = t31914*t32536; + t31370 = t31898*t32591; + t31369 = x*t32383; + t31365 = x*t32455; + t31361 = t31890*t32565; + t31357 = y*t32424; + t31356 = t31877*t32591; + t31353 = t31877*t32565; + t31352 = x*t32341; + t31343 = t31887*t32565; + t31338 = t31874*t32565; + t31334 = t31907*t32536; + t31326 = x*t32370; + t31323 = x*t32466; + t31318 = y*t32329; + t31313 = t31850*t32565; + t31307 = RATIONAL(-16.0,27.0)*t32479; + t31300 = t31855*t32536; + t31299 = t31906*t32565; + t31296 = t32073*t32356; + t31291 = t31847*t32536; + t31289 = t31855*t32565; + t31280 = RATIONAL(40.0,27.0)*t32591; + t31266 = x*t32372; + t31261 = t31894*t32536; + t31258 = t31847*t32565; + t31256 = t31848*t32536; + t31252 = t31872*t32565; + t31251 = t31897*t32565; + t31250 = t31848*t32565; + t31249 = y*t32469; + t31243 = t31845*t32536; + t31235 = x*t32497; + t31232 = t32073*t32329; + t31230 = t31916*t32591; + t31228 = t31916*t32536; + t31227 = t31845*t32565; + t31224 = y*t32348; + t31222 = t31850*t32536; + t31218 = t31858*t32591; + t31215 = y*t32473; + t31213 = x*t32369; + t31209 = t32073*t32352; + t31205 = y*t32500; + t31204 = x*t32399; + t31201 = y*t32428; + t31199 = x*t32365; + t31198 = x*t32318; + t31192 = RATIONAL(49.0,864.0)*t32479; + t31188 = RATIONAL(160.0,27.0)*t32479; + t31183 = t31804*t32536; + t31180 = t31796*t32536; + t31177 = t31829*t32565; + t31173 = t31792*t32479; + t31170 = RATIONAL(-224.0,27.0)*t32479; + t31169 = RATIONAL(-49.0,432.0)*t32479; + t31168 = t31809*t32536; + t31166 = t31817*t32565; + t31161 = y*t32398; + t31149 = x*t32315; + t31146 = y*t32307; + t31144 = x*t32379; + t31143 = y*t32472; + t31134 = t31796*t32565; + t31132 = x*t32448; + t31130 = t31809*t32565; + t31119 = RATIONAL(245.0,288.0)*t32479; + t31106 = t31776*t32593; + t31099 = t32462*t32592; + t31095 = t32061*t32522; + t31092 = t32061*t32523; + t31086 = RATIONAL(245.0,216.0)*t32479; + t31085 = x*t32281; + t31084 = y*t32265; + t31083 = t32034*t32522; + t31081 = t32498*t32592; + t31075 = t32035*t32522; + t31074 = y*t32242; + t31070 = t32055*t32522; + t31069 = x*t32283; + t31065 = t32041*t32523; + t31063 = t32037*t32522; + t31060 = t32053*t32522; + t31057 = x*t32290; + t31056 = y*t32260; + t31055 = t32049*t32522; + t31054 = t32486*t32592; + t31053 = t32034*t32523; + t31051 = t32049*t32268; + t31044 = t32075*t31744; + t31042 = t32055*t32523; + t31041 = t32367*t32593; + t31040 = t32074*t32516; + t31034 = RATIONAL(-343.0,216.0)*t32479; + t31028 = z*t31738; + t31027 = y*t32267; + t31026 = t32384*t32593; + t31021 = t31940*t32268; + t31017 = x*t32243; + t31016 = t31940*t32522; + t31006 = x*t32275; + t30993 = t32076*t32284; + t30988 = x*t32293; + t30984 = x*t32270; + t30976 = t31982*t32522; + t30966 = t32010*t32522; + t30958 = t31959*t32268; + t30956 = t31972*t32522; + t30955 = z*t31555; + t30954 = z*t31557; + t30953 = t32000*t32522; + t30952 = z*t31607; + t30947 = t31959*t32522; + t30943 = t31977*t32522; + t30942 = x*t32231; + t30938 = t31766*t32593; + t30927 = t31937*t32522; + t30920 = y*t32247; + t30917 = t31957*t32522; + t30910 = z*t31583; + t30905 = y*t32240; + t30904 = z*t31500; + t30894 = z*t31665; + t30893 = t32007*t32268; + t30891 = t32073*t32250; + t30879 = t31958*t32522; + t30878 = t32017*t32522; + t30872 = x*t32271; + t30865 = t31925*t32522; + t30850 = z*t31505; + t30840 = t31767*t32592; + t30834 = t32021*t32523; + t30833 = t31971*t32268; + t30832 = z*t31659; + t30830 = t32076*t32295; + t30829 = x*t32295; + t30823 = x*t32284; + t30822 = z*t31689; + t30820 = t32000*t32268; + t30814 = x*t32234; + t30810 = t31918*t32268; + t30797 = y*t32241; + t30796 = y*t32232; + t30791 = x*t32253; + t30785 = t32346*t32592; + t30782 = z*t31428; + t30773 = t31865*t32522; + t30764 = z*t31348; + t30755 = z*t31395; + t30754 = t32075*t32514; + t30748 = z*t31405; + t30743 = x*t32273; + t30742 = z*t31368; + t30738 = t31838*t32522; + t30736 = z*t31333; + t30729 = x*t32272; + t30728 = y*t32269; + t30703 = y*t32279; + t30702 = t32075*t32520; + t30698 = t31909*t32522; + t30697 = t31919*t32523; + t30686 = z*t31171; + t30683 = t31826*t32268; + t30675 = t31790*t32268; + t30668 = t31792*t32268; + t30661 = t32074*t32254; + coeff_dzz_m2_m2_m2 = t31352+t31353+t31356+t30755+t30748+t31891*t32227+( +t32589*t31891+(t31894+t31995*z)*t32075)*t32074+t32176+t32371+t32699; + coeff_dzz_m1_m2_m2 = t30947+t31579+t31338+t31986*t32585+t30958+t31327+ +t31570+t32189+t32197+t32638+t32794; + coeff_dzz_0_m2_m2 = t31551+t31556+t32531*t31935+(t32005*t32076+t32229)* +t32074+t32172+t32209+t32658+t32747; + coeff_dzz_p1_m2_m2 = t30820+t31538+t30953+t31535+(t32008*x+t31960*t32076) +*t32074+t32130+t32183+t32650; + coeff_dzz_p2_m2_m2 = t31460+x*t32386+t31021+t31016+t32127+t30814+t31453+ +t32397+t32604; + coeff_dzz_p3_m2_m2 = t32076*t32386+t31467+t30810+t30702+t32134+t32766; + coeff_dzz_m2_m1_m2 = t30830+t31424+t32086+t30829+t31986*t32572+t32203+ +t32338+t32638; + coeff_dzz_m1_m1_m2 = t31169+t30840+t31574+t31017+t31320+RATIONAL(25.0, +32.0)*t32287+t31657+t31019+t32221+t32489+t32680+t32820; + coeff_dzz_0_m1_m2 = t32080+t32065*t32574+t32584+t32345+t31528+t32613+ +t32704+t32761; + coeff_dzz_p1_m1_m2 = t30834+t32094+t31634+t31482+t32616+t32653+t32739; + coeff_dzz_p2_m1_m2 = t32151+t31632+t31006+t32508+t32657+t32663+t32757; + coeff_dzz_p3_m1_m2 = t31606+t32155+t32456+t32634+t32715; + coeff_dzz_m2_0_m2 = t31588+t32589*t31935+(t32005*t32073+t32229)*t32075+ +t32139+t32747+t32765+t32830; + coeff_dzz_m1_0_m2 = t31571+t32071*x+z*t32426+t32146+t32299+t32602+t32761+ +t32836; + coeff_dzz_0_0_m2 = t32053+t31307+t32464*t32055+(t32042+t32486+(t31870* +t32075+t32063)*t32074)*z+t32121+t32607; + coeff_dzz_p1_0_m2 = t31527+t32265+t32093+t32542+t32300+t32187+t32673+ +t32700; + coeff_dzz_p2_0_m2 = t32149+t31004+t32586+t32052*t32582+t31533+t32302+ +t32636+t32774+t32775; + coeff_dzz_p3_0_m2 = t32075*t32537+t32303+t32157+t32626+t32832; + coeff_dzz_m2_p1_m2 = t30993+t31606+t30823+t31533+t31536+(t32008*y+t31960* +t32073)*t32075+t32180+t32217+t32650+t32734; + coeff_dzz_m1_p1_m2 = t31527+t31106+t32147+t31632+t32219+t32653+t32674; + coeff_dzz_0_p1_m2 = t32290+t31634+t32079+t32045*y+t32344+t32603+t32700+ +t32720; + coeff_dzz_p1_p1_m2 = t32124+t31307+t31571+RATIONAL(25.0,18.0)*t32287+ +t31099+t31041+t31528+t32489+t32712+t32772; + coeff_dzz_p2_p1_m2 = t31095+t30988+t32144+t31574+t31588+t32615+t32684; + coeff_dzz_p3_p1_m2 = t31663+t32152+t32408+t32668+t32714; + coeff_dzz_m2_p2_m2 = t31467+t30782+t32127+t30984+t30783+t31342+y*t32470+ +t32508+t32697+t32755; + coeff_dzz_m1_p2_m2 = t30976+t31482+t32113+t31453+t32215+t32657+t32672; + coeff_dzz_0_p2_m2 = t32052*t32574+t31987*y+t31538+t32361+t32111+t32623+ +t32722+t32775; + coeff_dzz_p1_p2_m2 = t31551+t32081+t31092+t30956+t31657+t32611+t32684; + coeff_dzz_p2_p2_m2 = t31424+RATIONAL(1.0,8.0)*t32287+t31356+t31169+t31338 ++t32148+t30966+t32610+t32756; + coeff_dzz_p3_p2_m2 = t30797+t31353+t32115+t32709+t32742; + coeff_dzz_m2_p3_m2 = t32073*t32470+t31443+t30791+t32397+t32403+t32677+ +t32766; + coeff_dzz_m1_p3_m2 = t31535+t32155+t32376+t32646+t32751; + coeff_dzz_0_p3_m2 = t32074*t32537+t32339+t32098+t32773+t32832; + coeff_dzz_p1_p3_m2 = t31579+t32152+t32487+t32676+t32753; + coeff_dzz_p2_p3_m2 = t31352+t32168+t32419+t32685+t32742; + coeff_dzz_p3_p3_m2 = t32075*t32253+t31381+t32371+t32721+t32823; + coeff_dzz_m2_m2_m1 = t32086+t31204+t30703+t30765+t31370+t30998+t31209+ +t32321+t32794+t32813; + coeff_dzz_m1_m2_m1 = t30773+t30804+t31166+t30938+t31886*t32227+t32132+ +t32375+t32812+t32820; + coeff_dzz_0_m2_m1 = t32074*t32538+t31576+t32531*t31996+t32080+t32595+ +t32776+t32792; + coeff_dzz_p1_m2_m1 = t31559+t30764+t32094+t31598+t30942+t32614+t32686; + coeff_dzz_p2_m2_m1 = t31291+t31143+t30927+t30802+t32114+t32649+t32663+ +t32698; + coeff_dzz_p3_m2_m1 = t30754+t31258+t32118+t32715+t32770; + coeff_dzz_m2_m1_m1 = t30668+t30920+t31144+t31886*t32844+t32132+t32420+ +t32680+t32809; + coeff_dzz_m1_m1_m1 = t31461+t31693+t30683+t30785+t31466+t31119+(t31816* +t32073+t31868*y)*t32075+(t31816*t32076+t31868*x+(RATIONAL(125.0,32.0)+RATIONAL( +-175.0,32.0)*z)*t32075)*t32074+t32178+t32193; + coeff_dzz_0_m1_m1 = t31881*t32073+t32062*y+t31674+t31191+(t31976*t32076+ +t32228)*t32074+t32198+t32723+t32754+t32763+t32789; + coeff_dzz_p1_m1_m1 = t30697+t30825+t31411+t30832+(t31962*t32076+t31844*x) +*t32074+t32095+t32496+t32743+t32818; + coeff_dzz_p2_m1_m1 = t31183+t31566+t31054+t31401+(t31867*x+t31820*t32076) +*t32074+t32200+t32475+t32678+t32708+t32713; + coeff_dzz_p3_m1_m1 = t31867*t32434+t31637+t31253+t30955+t30675+t32208+ +t32736+t32817; + coeff_dzz_m2_0_m1 = t32277+t31481+t32589*t31996+t32106+t32602+t32780+ +t32792; + coeff_dzz_m1_0_m1 = t31881*t32076+t32062*x+t31608+(t31976*t32073+t32228)* +t32075+t32129+t32723+t32737+t32833; + coeff_dzz_0_0_m1 = RATIONAL(5.0,2.0)+t31585+t32464*t31989+(RATIONAL(-7.0, +2.0)+t31966*t32075+(t31966+RATIONAL(-343.0,18.0)*t32075)*t32074)*z+t32097+ +t32622; + coeff_dzz_p1_0_m1 = t31994*t32076+t32066*x+z*t31772+t31545+t32167+t32196+ +t32612+t32655; + coeff_dzz_p2_0_m1 = t32018*x+t31530+t32082+t32057*t32582+t31879*t32076+ +t32179+t32627+t32752; + coeff_dzz_p3_0_m1 = t32252+t32018*t32076+t32101+t32733+t32784; + coeff_dzz_m2_p1_m1 = t31005+t32136+t30742+t31530+t30917+t31637+t32674+ +t32686; + coeff_dzz_m1_p1_m1 = t30925+t31545+t30686+t30796+t30952+(t31844*y+t31962* +t32073)*t32075+t32095+t32475+t32642; + coeff_dzz_0_p1_m1 = t31994*t32073+t32066*y+t32286+t32167+t32496+t32599+ +t32641+t32729; + coeff_dzz_p1_p1_m1 = t31585+t31193+t31693+z*t31157+t31674+t31608+t30822+ +t32182+t32206+t32688+t32796; + coeff_dzz_p2_p1_m1 = t31081+t32126+t31461+t31481+t32190+t32635+t32647; + coeff_dzz_p3_p1_m1 = t30910+t32154+t32420+t32690+t32781; + coeff_dzz_m2_p2_m1 = t31183+t30738+t32113+t31258+t32191+t32649+t32654; + coeff_dzz_m1_p2_m1 = t31411+t30698+t31026+t31143+(t31820*t32073+t31867*y) +*t32075+t32142+t32510+t32693+t32713; + coeff_dzz_0_p2_m1 = t31559+t32018*y+t32057*t32574+t32087+t31879*t32073+ +t32617+t32752+t32806; + coeff_dzz_p1_p2_m1 = t32141+t30736+t31466+t31576+t32210+t32647+t32682; + coeff_dzz_p2_p2_m1 = t31119+RATIONAL(-7.0,8.0)*t32287+t32108+t31144+ +t30905+t31370+t31166+t32212+t32652; + coeff_dzz_p3_p2_m1 = t30728+t32160+t32321+t32645+t32711; + coeff_dzz_m2_p3_m1 = t31291+t30729+t32104+t32751+t32770; + coeff_dzz_m1_p3_m1 = t30894+t31867*t32490+t30661+t31598+t32090+t32817; + coeff_dzz_0_p3_m1 = t32018*t32073+t32074*t32534+t32084+t32733+t32760; + coeff_dzz_p1_p3_m1 = t30954+t32158+t32375+t32665+t32781; + coeff_dzz_p2_p3_m1 = t31204+t30743+t32138+t32701+t32711; + coeff_dzz_p3_p3_m1 = t32075*t32272+t31209+t32694+t32695+t32825; + coeff_dzz_m2_m2_0 = t31400+t31028+t31402+t32139+t32071*t32287+t31409+ +t32482+t32658+t32787; + coeff_dzz_m1_m2_0 = t31177+t31084+t31069+t32146+t31616+t32595+t32628; + coeff_dzz_0_m2_0 = t32050*t32574+t31357+t32531*t31999+t31836*t32227+ +t32607+t32703+t32718+t32740+t32810; + coeff_dzz_p1_m2_0 = t30904+t31065+t32085+t31361+t32504+t32651+t32673; + coeff_dzz_p2_m2_0 = t31161+t31060+t32137+t31326+t32173+t32636+t32664; + coeff_dzz_p3_m2_0 = t31448+t30826+t31299+t32157+t32631+t32706; + coeff_dzz_m2_m1_0 = t31055+t31149+t31057+t32106+t31532+t32613+t32628; + coeff_dzz_m1_m1_0 = t30872+RATIONAL(25.0,2.0)*t32287+t31256+t32129+t30878 ++t31250+t31034+t32454+t32754+t32790; + coeff_dzz_0_m1_0 = t30933+t31998*t32574+t31134+t31163+(t31800*t32075+ +t31870)*t32073+(t31798*t32075+t31970)*y+t32622+t32724+t32801+t32807; + coeff_dzz_p1_m1_0 = t30943+t31474+t31130+t32099+t32185+t32655+t32656; + coeff_dzz_p2_m1_0 = t31199+t31083+t30915+t31085+t31442+t32150+t32627+ +t32666; + coeff_dzz_p3_m1_0 = t31070+t31662+t32164+t32601+t32784; + coeff_dzz_m2_0_0 = t31416+t32050*t32582+t30833+t32121+t32204+t32589*( +t32427+t31999)+t32703; + coeff_dzz_m1_0_0 = t31180+t31998*t32582+t30891+(t31870+t31800*t32074)* +t32076+(t31798*t32074+t31970)*x+t32097+t32175+t32724; + coeff_dzz_0_0_0 = t32030+RATIONAL(8.0,1.0)*z+t31170+t32464*t32029+(t32004 +*z+t31830*t32073+t32023)*t32075+(t32023+RATIONAL(-686.0,27.0)*t32075+t31830* +t32076+(t32004+RATIONAL(392.0,9.0)*t32075)*z)*t32074+t32218+t32816; + coeff_dzz_p1_0_0 = t31167+t31168+t32250+(t31832*t32074+t31946)*t32076+( +t31983+t31813*t32074)*x+t32181+t32594+t32839+t32840; + coeff_dzz_p2_0_0 = t32075*t32551+t31323+t30893+(t31831*t32074+t31859)* +t32076+t32169*x+t32125+t32214+t32762; + coeff_dzz_p3_0_0 = t32249+t31051+t32169*t32076+t32103+t32835; + coeff_dzz_m2_p1_0 = t31323+t31056+t31662+t32079+t32651+t32675+t32834; + coeff_dzz_m1_p1_0 = t30879+t32120+t31168+t30831+t31442+t32641+t32656+ +t32707; + coeff_dzz_0_p1_0 = t32288+t31130+(t31946+t31832*t32075)*t32073+(t31813* +t32075+t31983)*y+t32119+t32759+t32821+t32840; + coeff_dzz_p1_p1_0 = t30865+t31180+t32088+t31170+RATIONAL(200.0,9.0)* +t32287+t31134+t32454+t32683+t32824; + coeff_dzz_p2_p1_0 = t31416+t31075+t32092+t31250+t32188+t32632+t32640; + coeff_dzz_p3_p1_0 = t31532+t31063+t32089+t32826+t32837; + coeff_dzz_m2_p2_0 = t31299+t31199+t31027+t32111+t32184+t32630+t32664; + coeff_dzz_m1_p2_0 = t30925+t31161+t31053+t32087+t31474+t31074+t32629+ +t32666; + coeff_dzz_0_p2_0 = t31361+t32074*t32551+(t31831*t32075+t31859)*t32073+ +t32170*y+t32621+t32726+t32749+t32762+t32804; + coeff_dzz_p1_p2_0 = t31256+t32123+t30850+t31357+t32211+t32632+t32670; + coeff_dzz_p2_p2_0 = t31400+t32122+t31149+t31177+t31044+t31034+RATIONAL( +2.0,1.0)*t32287+t32223+t32661; + coeff_dzz_p3_p2_0 = t30835+t32156+t32482+t32667+t32828; + coeff_dzz_m2_p3_0 = t30941+t31326+t32143+t32706+t32773; + coeff_dzz_m1_p3_0 = t31042+t32164+t32504+t32648+t32760; + coeff_dzz_0_p3_0 = t31315+t32074*t32545+t32170*t32073+t32494+t32608+ +t32835; + coeff_dzz_p1_p3_0 = t31040+t31616+t32109+t32741+t32837; + coeff_dzz_p2_p3_0 = t30859+t31402+t32131+t32710+t32828; + coeff_dzz_p3_p3_0 = t32075*t32258+t31409+t32153+t32777; + coeff_dzz_m2_m2_p1 = t32045*t32287+t31027+t32130+t31105+t31458+t31218+ +t31473+t31476+t32173+t32734; + coeff_dzz_m1_m2_p1 = t31065+t32147+t31074+t31673+t31201+t32614+t32689; + coeff_dzz_0_m2_p1 = t31417+t32059*t32574+t32531*t32006+t32085+t32603+ +t32726+t32831; + coeff_dzz_p1_m2_p1 = t31390+t30850+t31636+t31069+t31384+t31873*t32227+ +t32201+t32425+t32712+t32740+t32793; + coeff_dzz_p2_m2_p1 = t31044+t31146+t32096+t31365+t32615+t32637+t32787; + coeff_dzz_p3_m2_p1 = t30835+t31343+t32107+t32714+t32758; + coeff_dzz_m2_m1_p1 = t31056+t31085+t32136+t31582+t31198+t32616+t32689; + coeff_dzz_m1_m1_p1 = RATIONAL(-25.0,2.0)*t32287+t31300+t31086+t31289+ +t31280+t31194+t30879+t32185+t32220+t32642+t32818; + coeff_dzz_0_m1_p1 = t31251+t31941*y+t32074*t32541+t32099+t31880*t32073+ +t32599+t32744+t32821; + coeff_dzz_p1_m1_p1 = t31252+t30930+t30865+t30872+t31243+(t31807*t32073+ +t31808*y)*t32075+t32102+t32688+t32807; + coeff_dzz_p2_m1_p1 = t32145+t31227+t31075+t31132+t31057+t30948+t32425+ +t32635+t32725; + coeff_dzz_p3_m1_p1 = t31488+t31063+t32154+t32618+t32691; + coeff_dzz_m2_0_p1 = t32059*t32582+t31475+t32589*t32006+t32093+t32214+ +t32675+t32831; + coeff_dzz_m1_0_p1 = t32120+t31941*x+t32075*t32541+t31469+t32309+t32612+ +t32744+t32839; + coeff_dzz_0_0_p1 = t31989+t31188+t32464*t31924+(t31929*t32075+RATIONAL( +-8.0,1.0)+(t31929+RATIONAL(-392.0,9.0)*t32075)*t32074)*z+t32119+t32594; + coeff_dzz_p1_0_p1 = t31407+t31943*x+t32310+t31124+(t31805*t32073+t32230)* +t32075+t32175+t32218+t32683+t32748; + coeff_dzz_p2_0_p1 = t32583+t32100+t32067*t32582+t32312+t31369+t32204+ +t32640+t32805; + coeff_dzz_p3_0_p1 = t32075*t32581+t32492+t32163+t32620+t32826; + coeff_dzz_m2_p1_p1 = t31055+t30833+t31488+t31369+t31617+t31873*t32844+ +t32124+t32188+t32793; + coeff_dzz_m1_p1_p1 = t31227+t30878+t30891+t31407+(t31808*x+t31807*t32076) +*t32074+t32102+t32716+t32796+t32824; + coeff_dzz_0_p1_p1 = t31978*t32073+t32563+t31252+(t31805*t32076+t32230)* +t32074+t32088+t32748+t32801+t32816; + coeff_dzz_p1_p1_p1 = t31280+t30943+t31188+t31469+t31251+(t31812*y+t31787* +t32073)*t32075+(t31812*x+t31787*t32076+(RATIONAL(-200.0,9.0)*z+RATIONAL(250.0, +27.0))*t32075)*t32074+t32181+t32707+t32759; + coeff_dzz_p2_p1_p1 = t31083+t31475+t30893+t31289+(t31895*x+t31801*t32076) +*t32074+t32105+t32625+t32834; + coeff_dzz_p3_p1_p1 = t31582+t31070+t31895*t32434+t31051+t32110+t32771; + coeff_dzz_m2_p2_p1 = t31343+t32081+t31132+t31028+t32223+t32637+t32681; + coeff_dzz_m1_p2_p1 = t32141+t31243+t31084+t31146+t31617+t32211+t32643+ +t32725; + coeff_dzz_0_p2_p1 = t31384+t32028*y+t32067*t32574+t32123+t31837*t32073+ +t32600+t32805+t32810; + coeff_dzz_p1_p2_p1 = t31417+t30904+t31300+t31053+(t31801*t32073+t31895*y) +*t32075+t32105+t32624+t32804; + coeff_dzz_p2_p2_p1 = t31086+RATIONAL(-2.0,1.0)*t32287+t31218+t31198+ +t31060+t31737+t31201+t32184+t32205+t32669+t32795; + coeff_dzz_p3_p2_p1 = t31473+t30826+t32083+t32702+t32797; + coeff_dzz_m2_p3_p1 = t31365+t30859+t32135+t32753+t32758; + coeff_dzz_m1_p3_p1 = t31040+t31636+t32158+t32619+t32691; + coeff_dzz_0_p3_p1 = t32044*t32574+t32323+t32163+t32605+t32741; + coeff_dzz_p1_p3_p1 = t31225+t31042+t31895*t32490+t31673+t32494+t32609+ +t32771; + coeff_dzz_p2_p3_p1 = t31476+t30941+t32133+t32769+t32797; + coeff_dzz_p3_p3_p1 = t31926*t32287+t31458+t32162+t32764; + coeff_dzz_m2_m2_p2 = t30846+t31694+t31318+t31230+t31232+t31228+t30738+ +t32194+t32604+t32698+t32755; + coeff_dzz_m1_m2_p2 = t31224+t30698+t32114+t30942+t32417+t32451+t32672+ +t32819; + coeff_dzz_0_m2_p2 = t32074*t32532+t31704+t32531*t31953+t32137+t32623+ +t32692+t32806; + coeff_dzz_p1_m2_p2 = t31687+t31754+t30736+t30938+t32096+t32511+t32611+ +t32782; + coeff_dzz_p2_m2_p2 = t31425+t31413+t30905+t32001*t32227+t32148+t32671+ +t32812+t32813; + coeff_dzz_p3_m2_p2 = t31397+t30728+t32140+t32709+t32732; + coeff_dzz_m2_m1_p2 = t31487+t31627+t31382+t30917+t32151+t32200+t32654+ +t32819; + coeff_dzz_m1_m1_p2 = t31599+RATIONAL(175.0,32.0)*t32287+t31173+t30697+ +t30796+t32142+t32483+t32513+t32678; + coeff_dzz_0_m1_p2 = t32074*t32566+t32051*y+t32150+t31700+t31950*t32073+ +t32617+t32696+t32729; + coeff_dzz_p1_m1_p2 = t32145+t30822+t31725+t31540+t32178+t32679+t32682; + coeff_dzz_p2_m1_p2 = t31081+t31266+t31518+t31711+(t32576+t32465)*t32075+ +t32193+t32511+t32652+t32717+t32809; + coeff_dzz_p3_m1_p2 = t31019+t31506+t30910+t32160+t32687+t32799; + coeff_dzz_m2_0_p2 = t32246+t31705+t32589*t31953+t32149+t32179+t32630+ +t32692; + coeff_dzz_m1_0_p2 = t32051*x+t32082+t31721+t32075*t32566+t31950*t32076+ +t32196+t32629+t32696; + coeff_dzz_0_0_p2 = t31484+RATIONAL(-1.0,1.0)+t32464*t32050+(t32025*t32075 ++RATIONAL(7.0,2.0)+(t32025+RATIONAL(343.0,18.0)*t32075)*t32074)*z+t32125+t32621 +; + coeff_dzz_p1_0_p2 = t30930+t32570+t31753+t32100+t32244+t32059*t32076+ +t32670+t32737+t32822; + coeff_dzz_p2_0_p2 = t31948*t32076+t30776+t31991*x+t30948+t31724+t31749+( +t32402+t32224)*t32075+t32661+t32780+t32791+t32833; + coeff_dzz_p3_0_p2 = t31991*t32076+t32245+t32156+t32597+t32827; + coeff_dzz_m2_p1_p2 = t32144+t30920+t31506+t31749+t31681+t32190+t32681+ +t32782; + coeff_dzz_m1_p1_p2 = t30785+t31518+t32126+t31753+t32206+t32643+t32679; + coeff_dzz_0_p1_p2 = t32044*y+t32282+t32092+t32059*t32073+t31725+t32600+ +t32789+t32822; + coeff_dzz_p1_p1_p2 = RATIONAL(175.0,18.0)*t32287+t30952+t30832+t31700+ +t31721+t31484+t32513+t32624+t32625+t32727; + coeff_dzz_p2_p1_p2 = t31705+t31054+t30742+t30915+t30686+(t32501+t32056*y) +*t32075+t32112+t32483+t32669; + coeff_dzz_p3_p1_p2 = t31627+t30955+t32166+t32598+t32702; + coeff_dzz_m2_p2_p2 = t31517+t31266+t30668+t31397+t30658+t30703+t32001* +t32844+t32212+t32610+t32671; + coeff_dzz_m1_p2_p2 = t30773+t31413+t31681+t31540+t30683+(t32416+t32567)* +t32074+t32108+t32210+t32717; + coeff_dzz_0_p2_p2 = t31991*y+t31754+t31948*t32073+(t32468+t32224)*t32074+ +t32122+t32763+t32776+t32791; + coeff_dzz_p1_p2_p2 = t30764+t31704+t31026+t31599+(t32056*x+t32493)*t32074 ++t32112+t32743+t32795+t32814; + coeff_dzz_p2_p2_p2 = t31382+t30927+t31224+t31173+t31230+(t32019*y+t32509) +*t32075+(t32366+t32547+(RATIONAL(7.0,8.0)*z+t32052)*t32075)*t32074+t32191+ +t32693+t32708; + coeff_dzz_p3_p2_p2 = t30754+t30675+t32019*t32434+t31318+t32128+t32800; + coeff_dzz_m2_p3_p2 = t30743+t31425+t32168+t32596+t32732; + coeff_dzz_m1_p3_p2 = t30954+t31687+t32116+t32701+t32799; + coeff_dzz_0_p3_p2 = t31991*t32073+t32074*t32559+t32117+t32710+t32827; + coeff_dzz_p1_p3_p2 = t30894+t32166+t32451+t32633+t32769; + coeff_dzz_p2_p3_p2 = t31653+t30661+t30729+t30687+t31228+t32019*t32490+ +t32606+t32800; + coeff_dzz_p3_p3_p2 = t31232+t32074*t32269+t32159+t32779; + coeff_dzz_m2_m2_p3 = t32013*t32287+t31296+t30782+t30814+t31386+t32134+ +t32438+t32463+t32677; + coeff_dzz_m1_m2_p3 = t30976+t32118+t31261+t31249+t32183+t32644+t32646; + coeff_dzz_0_m2_p3 = t31991*t32574+t32843+t32098+t32338+t32631+t32722+ +t32838; + coeff_dzz_p1_m2_p3 = t30956+t32107+t31606+t31222+t32189+t32659+t32676; + coeff_dzz_p2_m2_p3 = t31215+t32140+t30966+t31213+t32176+t32639+t32685; + coeff_dzz_p3_m2_p3 = t30797+t31205+t31871*t32227+t32165+t32699+t32823; + coeff_dzz_m2_m1_p3 = t31452+t32104+t31462+t31006+t32217+t32634+t32644; + coeff_dzz_m1_m1_p3 = RATIONAL(-25.0,32.0)*t32287+t32090+t31192+t30834+ +t30801+t31406+t31433+t31644+t32219+t32736; + coeff_dzz_0_m1_p3 = t32074*t32529+t32036*y+t31629+t32316+t32084+t32601+ +t32720+t32783; + coeff_dzz_p1_m1_p3 = t31595+t31099+t31017+t32091+t31334+t31018+t32618+ +t32665; + coeff_dzz_p2_m1_p3 = t31235+t31095+t30829+t32138+t32478+t32660+t32687; + coeff_dzz_p3_m1_p3 = t30830+t31313+(t32558+t32396)*t32075+t32161+t32408+ +t32825; + coeff_dzz_m2_0_p3 = t31579+t31991*t32582+t32589*t31995+t32143+t32626+ +t32774+t32838; + coeff_dzz_m1_0_p3 = t32036*x+t32101+t32075*t32529+t31525+t32324+t32187+ +t32648+t32783; + coeff_dzz_0_0_p3 = t31508+t32054+t32464*t32071+(RATIONAL(-1.0,2.0)+t32498 ++(t31859*t32075+t32043)*t32074)*z+t32103+t32608; + coeff_dzz_p1_0_p3 = t31495+t32109+t32562+t32242+t32333+t32620+t32728+ +t32836; + coeff_dzz_p2_0_p3 = t31535+t32573+t32048*t32582+t32015*t32076+t32131+ +t32597+t32829+t32830; + coeff_dzz_p3_0_p3 = t32013*t32076+(t32495+t32225)*t32075+t32153+t32765+ +t32802; + coeff_dzz_m2_p1_p3 = t31535+t30988+t32135+t31313+t32203+t32659+t32668; + coeff_dzz_m1_p1_p3 = t31495+t31041+t32091+t30840+t32478+t32619+t32690; + coeff_dzz_0_p1_p3 = t32089+t31595+t32068*y+t32281+t32457+t32605+t32704+ +t32728; + coeff_dzz_p1_p1_p3 = t31106+RATIONAL(-25.0,18.0)*t32287+t31629+t31525+ +t31644+t32110+t31508+t32609+t32739; + coeff_dzz_p2_p1_p3 = t32133+t31579+t30823+t31433+t32598+t32662+t32757; + coeff_dzz_p3_p1_p3 = t30993+t31452+(t32436+t32571)*t32075+t32162+t32456+ +t32811; + coeff_dzz_m2_p2_p3 = t31235+t30755+t32115+t31205+t32596+t32639+t32756; + coeff_dzz_m1_p2_p3 = t31215+t30947+t31092+t32116+t30780+t31334+t32645+ +t32660; + coeff_dzz_0_p2_p3 = t32117+t32048*t32574+t31606+t32458+t32013*y+t32172+ +t32667+t32829; + coeff_dzz_p1_p2_p3 = t31663+t30953+t32083+t31406+t32215+t32633+t32662; + coeff_dzz_p2_p2_p3 = RATIONAL(-1.0,8.0)*t32287+t31192+t31016+t30984+ +t31462+t32128+t31249+t32463+t32606; + coeff_dzz_p3_p2_p3 = t31386+t30702+(t32497+t32580)*t32075+t32159+t32697+ +t32719; + coeff_dzz_m2_p3_p3 = t31213+t30748+t31871*t32844+t32165+t32419+t32721; + coeff_dzz_m1_p3_p3 = t30958+t31222+(t32469+t31894*x)*t32074+t32161+t32487 ++t32694; + coeff_dzz_0_p3_p3 = t32314+t31221+(t32502+t32225)*t32074+t32209+t32777+ +t32802; + coeff_dzz_p1_p3_p3 = t30820+t30883+t31239+t31261+(t32439+t31850*x)*t32074 ++t32376+t32764+t32811; + coeff_dzz_p2_p3_p3 = t30791+t31021+(t31893*x+t32473)*t32074+t32438+t32719 ++t32778+t32779; + coeff_dzz_p3_p3_p3 = t30810+t31296+t32075*t32369+(t32500+(t32577+t31871)* +t32075)*t32074+t32403; diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/3d.cube.order2.c b/src/GeneralizedPolynomial-Uniform/Hermite/3d.cube.order2.c new file mode 100644 index 0000000..c22c56d --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/3d.cube.order2.c @@ -0,0 +1,82 @@ +/* $Header$ */ + +#include +#include +#include +#include +#include + +#include "util_ErrorCodes.h" +#include "cctk.h" +#include "../InterpLocalUniform.h" + +/* function prototype */ +#define FUNCTION_NAME LocalInterp_UHermite_3dcube_2 +#include "../template.h" + +#define N_DIMS 3 +#define MOLECULE_MIN_M -1 +#define MOLECULE_MAX_M 2 +#define MOLECULE_SIZE 4 + +/* which derivative ops do we support? */ +#define HAVE_OP_I +#define HAVE_OP_DX +#define HAVE_OP_DY +#define HAVE_OP_DZ +#define HAVE_OP_DXX +#define HAVE_OP_DXY +#define HAVE_OP_DXZ +#define HAVE_OP_DYY +#define HAVE_OP_DYZ +#define HAVE_OP_DZZ + +#define DATA_VAR_DCL_FILE_NAME "../common/3d.cube.size4/data-var.dcl.c" +#define DATA_VAR_ASSIGN_FILE_NAME "../common/3d.cube.size4/data-var.assign.c" + +#define COEFF_I_VAR_STORE_FILE_NAME "../common/3d.cube.size4/coeff-I.store.c" +#define COEFF_DX_VAR_STORE_FILE_NAME "../common/3d.cube.size4/coeff-dx.store.c" +#define COEFF_DY_VAR_STORE_FILE_NAME "../common/3d.cube.size4/coeff-dy.store.c" +#define COEFF_DZ_VAR_STORE_FILE_NAME "../common/3d.cube.size4/coeff-dz.store.c" +#define COEFF_DXX_VAR_STORE_FILE_NAME "../common/3d.cube.size4/coeff-dxx.store.c" +#define COEFF_DXY_VAR_STORE_FILE_NAME "../common/3d.cube.size4/coeff-dxy.store.c" +#define COEFF_DXZ_VAR_STORE_FILE_NAME "../common/3d.cube.size4/coeff-dxz.store.c" +#define COEFF_DYY_VAR_STORE_FILE_NAME "../common/3d.cube.size4/coeff-dyy.store.c" +#define COEFF_DYZ_VAR_STORE_FILE_NAME "../common/3d.cube.size4/coeff-dyz.store.c" +#define COEFF_DZZ_VAR_STORE_FILE_NAME "../common/3d.cube.size4/coeff-dzz.store.c" + +#define COEFF_I_DCL_FILE_NAME "../common/3d.cube.size4/coeff-I.dcl.c" +#define COEFF_DX_DCL_FILE_NAME "../common/3d.cube.size4/coeff-dx.dcl.c" +#define COEFF_DY_DCL_FILE_NAME "../common/3d.cube.size4/coeff-dy.dcl.c" +#define COEFF_DZ_DCL_FILE_NAME "../common/3d.cube.size4/coeff-dz.dcl.c" +#define COEFF_DXX_DCL_FILE_NAME "../common/3d.cube.size4/coeff-dxx.dcl.c" +#define COEFF_DXY_DCL_FILE_NAME "../common/3d.cube.size4/coeff-dxy.dcl.c" +#define COEFF_DXZ_DCL_FILE_NAME "../common/3d.cube.size4/coeff-dxz.dcl.c" +#define COEFF_DYY_DCL_FILE_NAME "../common/3d.cube.size4/coeff-dyy.dcl.c" +#define COEFF_DYZ_DCL_FILE_NAME "../common/3d.cube.size4/coeff-dyz.dcl.c" +#define COEFF_DZZ_DCL_FILE_NAME "../common/3d.cube.size4/coeff-dzz.dcl.c" + +#define INTERP_I_COMPUTE_FILE_NAME "../common/3d.cube.size4/interp-I.compute.c" +#define INTERP_DX_COMPUTE_FILE_NAME "../common/3d.cube.size4/interp-dx.compute.c" +#define INTERP_DY_COMPUTE_FILE_NAME "../common/3d.cube.size4/interp-dy.compute.c" +#define INTERP_DZ_COMPUTE_FILE_NAME "../common/3d.cube.size4/interp-dz.compute.c" +#define INTERP_DXX_COMPUTE_FILE_NAME "../common/3d.cube.size4/interp-dxx.compute.c" +#define INTERP_DXY_COMPUTE_FILE_NAME "../common/3d.cube.size4/interp-dxy.compute.c" +#define INTERP_DXZ_COMPUTE_FILE_NAME "../common/3d.cube.size4/interp-dxz.compute.c" +#define INTERP_DYY_COMPUTE_FILE_NAME "../common/3d.cube.size4/interp-dyy.compute.c" +#define INTERP_DYZ_COMPUTE_FILE_NAME "../common/3d.cube.size4/interp-dyz.compute.c" +#define INTERP_DZZ_COMPUTE_FILE_NAME "../common/3d.cube.size4/interp-dzz.compute.c" + +#define COEFF_I_COMPUTE_FILE_NAME "3d.coeffs/3d.cube.order2/coeff-I.compute.c" +#define COEFF_DX_COMPUTE_FILE_NAME "3d.coeffs/3d.cube.order2/coeff-dx.compute.c" +#define COEFF_DY_COMPUTE_FILE_NAME "3d.coeffs/3d.cube.order2/coeff-dy.compute.c" +#define COEFF_DZ_COMPUTE_FILE_NAME "3d.coeffs/3d.cube.order2/coeff-dz.compute.c" +#define COEFF_DXX_COMPUTE_FILE_NAME "3d.coeffs/3d.cube.order2/coeff-dxx.compute.c" +#define COEFF_DXY_COMPUTE_FILE_NAME "3d.coeffs/3d.cube.order2/coeff-dxy.compute.c" +#define COEFF_DXZ_COMPUTE_FILE_NAME "3d.coeffs/3d.cube.order2/coeff-dxz.compute.c" +#define COEFF_DYY_COMPUTE_FILE_NAME "3d.coeffs/3d.cube.order2/coeff-dyy.compute.c" +#define COEFF_DYZ_COMPUTE_FILE_NAME "3d.coeffs/3d.cube.order2/coeff-dyz.compute.c" +#define COEFF_DZZ_COMPUTE_FILE_NAME "3d.coeffs/3d.cube.order2/coeff-dzz.compute.c" + +/* actual code */ +#include "../template.c" diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/3d.cube.order3.c b/src/GeneralizedPolynomial-Uniform/Hermite/3d.cube.order3.c new file mode 100644 index 0000000..513a15f --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/3d.cube.order3.c @@ -0,0 +1,82 @@ +/* $Header$ */ + +#include +#include +#include +#include +#include + +#include "util_ErrorCodes.h" +#include "cctk.h" +#include "../InterpLocalUniform.h" + +/* function prototype */ +#define FUNCTION_NAME LocalInterp_UHermite_3dcube_3 +#include "../template.h" + +#define N_DIMS 3 +#define MOLECULE_MIN_M -2 +#define MOLECULE_MAX_M 3 +#define MOLECULE_SIZE 6 + +/* which derivative ops do we support? */ +#define HAVE_OP_I +#define HAVE_OP_DX +#define HAVE_OP_DY +#define HAVE_OP_DZ +#define HAVE_OP_DXX +#define HAVE_OP_DXY +#define HAVE_OP_DXZ +#define HAVE_OP_DYY +#define HAVE_OP_DYZ +#define HAVE_OP_DZZ + +#define DATA_VAR_DCL_FILE_NAME "../common/3d.cube.size6/data-var.dcl.c" +#define DATA_VAR_ASSIGN_FILE_NAME "../common/3d.cube.size6/data-var.assign.c" + +#define COEFF_I_VAR_STORE_FILE_NAME "../common/3d.cube.size6/coeff-I.store.c" +#define COEFF_DX_VAR_STORE_FILE_NAME "../common/3d.cube.size6/coeff-dx.store.c" +#define COEFF_DY_VAR_STORE_FILE_NAME "../common/3d.cube.size6/coeff-dy.store.c" +#define COEFF_DZ_VAR_STORE_FILE_NAME "../common/3d.cube.size6/coeff-dz.store.c" +#define COEFF_DXX_VAR_STORE_FILE_NAME "../common/3d.cube.size6/coeff-dxx.store.c" +#define COEFF_DXY_VAR_STORE_FILE_NAME "../common/3d.cube.size6/coeff-dxy.store.c" +#define COEFF_DXZ_VAR_STORE_FILE_NAME "../common/3d.cube.size6/coeff-dxz.store.c" +#define COEFF_DYY_VAR_STORE_FILE_NAME "../common/3d.cube.size6/coeff-dyy.store.c" +#define COEFF_DYZ_VAR_STORE_FILE_NAME "../common/3d.cube.size6/coeff-dyz.store.c" +#define COEFF_DZZ_VAR_STORE_FILE_NAME "../common/3d.cube.size6/coeff-dzz.store.c" + +#define COEFF_I_DCL_FILE_NAME "../common/3d.cube.size6/coeff-I.dcl.c" +#define COEFF_DX_DCL_FILE_NAME "../common/3d.cube.size6/coeff-dx.dcl.c" +#define COEFF_DY_DCL_FILE_NAME "../common/3d.cube.size6/coeff-dy.dcl.c" +#define COEFF_DZ_DCL_FILE_NAME "../common/3d.cube.size6/coeff-dz.dcl.c" +#define COEFF_DXX_DCL_FILE_NAME "../common/3d.cube.size6/coeff-dxx.dcl.c" +#define COEFF_DXY_DCL_FILE_NAME "../common/3d.cube.size6/coeff-dxy.dcl.c" +#define COEFF_DXZ_DCL_FILE_NAME "../common/3d.cube.size6/coeff-dxz.dcl.c" +#define COEFF_DYY_DCL_FILE_NAME "../common/3d.cube.size6/coeff-dyy.dcl.c" +#define COEFF_DYZ_DCL_FILE_NAME "../common/3d.cube.size6/coeff-dyz.dcl.c" +#define COEFF_DZZ_DCL_FILE_NAME "../common/3d.cube.size6/coeff-dzz.dcl.c" + +#define INTERP_I_COMPUTE_FILE_NAME "../common/3d.cube.size6/interp-I.compute.c" +#define INTERP_DX_COMPUTE_FILE_NAME "../common/3d.cube.size6/interp-dx.compute.c" +#define INTERP_DY_COMPUTE_FILE_NAME "../common/3d.cube.size6/interp-dy.compute.c" +#define INTERP_DZ_COMPUTE_FILE_NAME "../common/3d.cube.size6/interp-dz.compute.c" +#define INTERP_DXX_COMPUTE_FILE_NAME "../common/3d.cube.size6/interp-dxx.compute.c" +#define INTERP_DXY_COMPUTE_FILE_NAME "../common/3d.cube.size6/interp-dxy.compute.c" +#define INTERP_DXZ_COMPUTE_FILE_NAME "../common/3d.cube.size6/interp-dxz.compute.c" +#define INTERP_DYY_COMPUTE_FILE_NAME "../common/3d.cube.size6/interp-dyy.compute.c" +#define INTERP_DYZ_COMPUTE_FILE_NAME "../common/3d.cube.size6/interp-dyz.compute.c" +#define INTERP_DZZ_COMPUTE_FILE_NAME "../common/3d.cube.size6/interp-dzz.compute.c" + +#define COEFF_I_COMPUTE_FILE_NAME "3d.coeffs/3d.cube.order3/coeff-I.compute.c" +#define COEFF_DX_COMPUTE_FILE_NAME "3d.coeffs/3d.cube.order3/coeff-dx.compute.c" +#define COEFF_DY_COMPUTE_FILE_NAME "3d.coeffs/3d.cube.order3/coeff-dy.compute.c" +#define COEFF_DZ_COMPUTE_FILE_NAME "3d.coeffs/3d.cube.order3/coeff-dz.compute.c" +#define COEFF_DXX_COMPUTE_FILE_NAME "3d.coeffs/3d.cube.order3/coeff-dxx.compute.c" +#define COEFF_DXY_COMPUTE_FILE_NAME "3d.coeffs/3d.cube.order3/coeff-dxy.compute.c" +#define COEFF_DXZ_COMPUTE_FILE_NAME "3d.coeffs/3d.cube.order3/coeff-dxz.compute.c" +#define COEFF_DYY_COMPUTE_FILE_NAME "3d.coeffs/3d.cube.order3/coeff-dyy.compute.c" +#define COEFF_DYZ_COMPUTE_FILE_NAME "3d.coeffs/3d.cube.order3/coeff-dyz.compute.c" +#define COEFF_DZZ_COMPUTE_FILE_NAME "3d.coeffs/3d.cube.order3/coeff-dzz.compute.c" + +/* actual code */ +#include "../template.c" diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/3d.log b/src/GeneralizedPolynomial-Uniform/Hermite/3d.log new file mode 100644 index 0000000..a288139 --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/3d.log @@ -0,0 +1,161292 @@ + |\^/| Maple 7 (IBM INTEL LINUX) +._|\| |/|_. Copyright (c) 2001 by Waterloo Maple Inc. + \ MAPLE / All rights reserved. Maple is a registered trademark of + <____ ____> Waterloo Maple Inc. + | Type ? for help. +# util.maple -- misc utility routines +# $Header: /cactusdevcvs/CactusBase/LocalInterp/src/GeneralizedPolynomial-Uniform/util.maple,v 1.4 2002/08/20 16:46:06 jthorn Exp $ +> +# +# fix_rationals - convert numbers to RATIONAL() calls +# nonmatching_names - find names in a list which *don't* have a specified prefix +# sprint_numeric_list - convert a numeric list to a valid C identifier suffix +# print_name_list_dcl - print a C declaration for a list of names +# +# hypercube_points - compute all (integer) points in an N-dimensional hypercube +# +# ftruncate - truncate a file to zero length +# +> +################################################################################ +################################################################################ +################################################################################ +> +# +# This function converts all {integer, rational} subexpressions of its +# input except integer exponents and -1 factors in products, into function +# calls +# RATIONAL(num,den) +# This is useful in conjunction with the C() library function, since +# +# C( (1/3) * foo * bar ) +# t0 = foo*bar/3; +# +# generates a (slow) division (and runs the risk of mixed-mode-arithmetic +# problems), while +# +# C((1.0/3.0) * foo * bar); +# t0 = 0.3333333333*foo*bar; +# +# suffers from roundoff error. With this function, +# +# fix_rationals((1/3) * foo * bar); +# RATIONAL(1,3) foo bar +# C(%); +# t0 = RATIONAL(1.0,3.0)*foo*bar; +# +# which a C preprocessor macro can easily convert to the desired +# +# t0 = (1.0/3.0)*foo*bar; +# +# Additionally, this function can be told to leave certain types of +# subexpressions unconverged. For example, +# fix_rationals(expr, type, specfunc(integer, DATA)); +# will leave all subexpressions of the form DATA(integer arguments) +# unconverted. +# +# Arguments: +# expr = (in) The expression to be converted. +# inert_fn = (optional in) +# If specified, this argument should be a Boolean procedure +# or the name of a Boolean procedure. This procedure should +# take one or more argument, and return true if and only if +# the first argument should *not* be converted, i.e. if we +# should leave this expression unchanged. See the last +# example above. +# ... = (optional in) +# Any further arguments are passed as additional arguments to +# the inert_fn procedure. +# +> fix_rationals := +> proc( +> expr::{ +> algebraic, name = algebraic, +> list({algebraic, name = algebraic}), +> set ({algebraic, name = algebraic}) +> }, +> inert_fn::{name, procedure} +> ) +> local nn, k, +> base, power, fbase, fpower, +> fn, fn_args_list, +> num, den, mult; +> +# do we want to convert this expression? +> if ((nargs >= 2) and inert_fn(expr, args[3..nargs])) +> then return expr; +> end if; +> +# recurse over lists and sets +> if (type(expr, {list,set})) +> then return map(fix_rationals, expr, args[2..nargs]); +> end if; +> +# recurse over equation right hand sides +> if (type(expr, name = algebraic)) +> then return ( lhs(expr) = fix_rationals(rhs(expr), args[2..nargs]) ); +> end if; +> +# recurse over functions other than RATIONAL() +> if (type(expr, function)) +> then +> fn := op(0, expr); +> if (fn <> 'RATIONAL') +> then +> fn_args_list := [op(expr)]; +> fn_args_list := map(fix_rationals, fn_args_list, args[2..nargs]); +> fn; return '%'( op(fn_args_list) ); +> end if; +> end if; +> +> nn := nops(expr); +> +# recurse over sums +> if (type(expr, `+`)) +> then return sum('fix_rationals(op(k,expr), args[2..nargs])', 'k'=1..nn); +> end if; +> +# recurse over products +# ... leaving leading -1 factors intact, i.e. not converted to RATIONAL(-1,1) +> if (type(expr, `*`)) +> then +> if (op(1, expr) = -1) +> then return -1*fix_rationals(remove(type, expr, 'identical(-1)'), +> args[2..nargs]); +> else return product('fix_rationals(op(k,expr), args[2..nargs])', +> 'k'=1..nn); +> end if; +> end if; +> +# recurse over powers +# ... leaving integer exponents intact +> if (type(expr, `^`)) +> then +> base := op(1, expr); +> power := op(2, expr); +> +> fbase := fix_rationals(base, args[2..nargs]); +> if (type(power, integer)) +> then fpower := power; +> else fpower := fix_rationals(power, args[2..nargs]); +> end if; +> return fbase ^ fpower; +> end if; +> +# fix integers and fractions +> if (type(expr, integer)) +> then return 'RATIONAL'(expr, 1); +> end if; +> if (type(expr, fraction)) +> then +> num := op(1, expr); +> den := op(2, expr); +> +> return 'RATIONAL'(num, den); +> end if; +> +# turn Maple floating-point into integer fraction, then recursively fix that +> if (type(expr, float)) +> then +> mult := op(1, expr); +> power := op(2, expr); +> return fix_rationals(mult * 10^power, args[2..nargs]); +> end if; +> +# identity op on names +> if (type(expr, name)) +> then return expr; +> end if; +> +# unknown type +> error "%0", +> "unknown type for expr!", +> " whattype(expr) = ", whattype(expr), +> " expr = ", expr; +> end proc; +fix_rationals := proc(expr::{algebraic, name = algebraic, +list({algebraic, name = algebraic}), set({algebraic, name = algebraic})}, +inert_fn::{procedure, name}) +local nn, k, base, power, fbase, fpower, fn, fn_args_list, num, den, mult; + if 2 <= nargs and inert_fn(expr, args[3 .. nargs]) then return expr + end if; + if type(expr, {set, list}) then + return map(fix_rationals, expr, args[2 .. nargs]) + end if; + if type(expr, name = algebraic) then + return lhs(expr) = fix_rationals(rhs(expr), args[2 .. nargs]) + end if; + if type(expr, function) then + fn := op(0, expr); + if fn <> 'RATIONAL' then + fn_args_list := [op(expr)]; + fn_args_list := + map(fix_rationals, fn_args_list, args[2 .. nargs]); + fn; + return '%'(op(fn_args_list)) + end if + end if; + nn := nops(expr); + if type(expr, `+`) then return + sum('fix_rationals(op(k, expr), args[2 .. nargs])', 'k' = 1 .. nn) + end if; + if type(expr, `*`) then + if op(1, expr) = -1 then return -fix_rationals( + remove(type, expr, 'identical(-1)'), args[2 .. nargs]) + else return product('fix_rationals(op(k, expr), args[2 .. nargs])', + 'k' = 1 .. nn) + end if + end if; + if type(expr, `^`) then + base := op(1, expr); + power := op(2, expr); + fbase := fix_rationals(base, args[2 .. nargs]); + if type(power, integer) then fpower := power + else fpower := fix_rationals(power, args[2 .. nargs]) + end if; + return fbase^fpower + end if; + if type(expr, integer) then return 'RATIONAL'(expr, 1) end if; + if type(expr, fraction) then + num := op(1, expr); den := op(2, expr); return 'RATIONAL'(num, den) + end if; + if type(expr, float) then + mult := op(1, expr); + power := op(2, expr); + return fix_rationals(mult*10^power, args[2 .. nargs]) + end if; + if type(expr, name) then return expr end if; + error "%0", "unknown type for expr!", " whattype(expr) = ", + whattype(expr), " expr = ", expr +end proc + +> +################################################################################ +> +# +# This function finds names in a list which *don't* have a specified prefix. +# +# Arguments: +# name_list = A list of the names. +# prefix = The prefix we want to filter out. +# +# Results: +# This function returns the subset list of names which don't have the +# specified prefix. +# +> nonmatching_names := +> proc( name_list::list({name,string}), prefix::{name,string} ) +> +> select( proc(n) +> evalb(not StringTools[IsPrefix](prefix,n)); +> end proc +> , +> name_list +> ); +> end proc; +nonmatching_names := proc( +name_list::list({name, string}), prefix::{name, string}) + select(proc(n) evalb(not StringTools[IsPrefix](prefix, n)) end proc, + name_list) +end proc + +> +################################################################################ +> +# +# This function converts a numeric list to a string which is a valid +# C identifier suffix: elements are separated by "_", decimal points are +# replaced by "x", and all nonzero values have explicit +/- signs, which +# are replaced by "p"/"m". +# +# For example, [0,-3.5,+4] --> "0_m3x5_p4". +# +> sprint_numeric_list := +> proc(nlist::list(numeric)) +> +# generate preliminary string, eg "+0_-3.5_+4" +> map2(sprintf, "%+a", nlist); +> ListTools[Join](%, "_"); +> cat(op(%)); +> +# fixup bad characters +> StringTools[SubstituteAll](%, "+0", "0"); +> StringTools[CharacterMap](".+-", "xpm", %); +> +> return %; +> end proc; +sprint_numeric_list := proc(nlist::list(numeric)) + map2(sprintf, "%+a", nlist); + ListTools[Join](%, "_"); + cat(op(%)); + StringTools[SubstituteAll](%, "+0", "0"); + StringTools[CharacterMap](".+-", "xpm", %); + return % +end proc + +> +################################################################################ +> +# +# This function prints a C declaration for a list of names. +# +# Argument: +# name_list = A list of the names. +# name_type = The C type of the names, eg. "double". +# file_name = The file name to write the declaration to. This is +# truncated before writing. +# +> print_name_list_dcl := +> proc( name_list::list({name,string}), +> name_type::string, +> file_name::string ) +> local blanks, separator_string; +> +> ftruncate(file_name); +> +# a sequence of blanks with the same length as name_type +> seq(" ", i=1..length(name_type)); +> +# string to separate names +> separator_string := cat(",\n", %, " "); +> +> map(convert, name_list, string); +> ListTools[Join](%, separator_string); +> cat(op(%)); +> +> fprintf(file_name, +> "%s %s;\n", +> name_type, %); +> +> fclose(file_name); +> NULL; +> end proc; +print_name_list_dcl := proc( +name_list::list({name, string}), name_type::string, file_name::string) +local blanks, separator_string; + ftruncate(file_name); + seq(" ", i = 1 .. length(name_type)); + separator_string := cat(",\n", %, " "); + map(convert, name_list, string); + ListTools[Join](%, separator_string); + cat(op(%)); + fprintf(file_name, "%s %s;\n", name_type, %); + fclose(file_name); + NULL +end proc + +> +################################################################################ +################################################################################ +################################################################################ +> +# +# This function computes a list of all the (integer) points in an +# N-dimensional hypercube, in lexicographic order. The present +# implementation requires N <= 4. +# +# Arguments: +# cmin,cmax = N-element lists of cube minimum/maximum coordinates. +# +# Results: +# The function returns a set of d-element lists giving the coordinates. +# For example, +# hypercube([0,0], [2,1] +# returns +# { [0,0], [0,1], [1,0], [1,1], [2,0], [2,1] } +> hypercube_points := +> proc(cmin::list(integer), cmax::list(integer)) +> local N, i,j,k,l; +> +> N := nops(cmin); +> if (nops(cmax) <> N) +> then error +> "must have same number of dimensions for min and max coordinates!"; +> fi; +> +> if (N = 1) +> then return [seq([i], i=cmin[1]..cmax[1])]; +> elif (N = 2) +> then return [ +> seq( +> seq([i,j], j=cmin[2]..cmax[2]), +> i=cmin[1]..cmax[1]) +> ]; +> elif (N = 3) +> then return [ +> seq( +> seq( +> seq([i,j,k], k=cmin[3]..cmax[3]), +> j=cmin[2]..cmax[2] ), +> i=cmin[1]..cmax[1]) +> ]; +> elif (N = 4) +> then return [ +> seq( +> seq( +> seq( +> seq([i,j,k,l], l=cmin[4]..cmax[4]), +> k=cmin[3]..cmax[3] ), +> j=cmin[2]..cmax[2]), +> i=cmin[1]..cmax[1]) +> ]; +> else +> error "implementation restriction: must have N <= 4, got %1!", N; +> fi; +> end proc; +hypercube_points := proc(cmin::list(integer), cmax::list(integer)) +local N, i, j, k, l; + N := nops(cmin); + if nops(cmax) <> N then error + "must have same number of dimensions for min and max coordinates!" + end if; + if N = 1 then return [seq([i], i = cmin[1] .. cmax[1])] + elif N = 2 then return + [seq(seq([i, j], j = cmin[2] .. cmax[2]), i = cmin[1] .. cmax[1])] + elif N = 3 then return [seq( + seq(seq([i, j, k], k = cmin[3] .. cmax[3]), j = cmin[2] .. cmax[2]) + , i = cmin[1] .. cmax[1])] + elif N = 4 then return [seq(seq(seq( + seq([i, j, k, l], l = cmin[4] .. cmax[4]), k = cmin[3] .. cmax[3]), + j = cmin[2] .. cmax[2]), i = cmin[1] .. cmax[1])] + else error "implementation restriction: must have N <= 4, got %1!", N + end if +end proc + +> +################################################################################ +################################################################################ +################################################################################ +> +# +# This function truncates a file to 0 length if it exists, or creates +# it at that length if it doesn't exist. +# +# Arguments: +# file_name = (in) The name of the file. +# +> ftruncate := +> proc(file_name::string) +> fopen(file_name, 'WRITE'); +> fclose(%); +> NULL; +> end proc; +ftruncate := + + proc(file_name::string) fopen(file_name, 'WRITE'); fclose(%); NULL end proc + +# interpolate.maple -- compute interpolation formulas/coefficients +# $Header: /cactusdevcvs/CactusBase/LocalInterp/src/GeneralizedPolynomial-Uniform/interpolate.maple,v 1.8 2002/08/20 16:46:05 jthorn Exp $ +> +# +# <<>> +# Lagrange_polynomial_interpolant - compute Lagrange polynomial interpolant +# Hermite_polynomial_interpolant - compute Hermite polynomial interpolant +# coeff_as_lc_of_data - coefficients of ... (linear combination of data) +# +# print_coeff__lc_of_data - print C code to compute coefficients +# print_data_var_assign - print C code to assign data-value variables +# print_interp_coeff_var_store - print C code to store coeff vars "somewhere" +# print_interp_cmpt__lc_of_data - print C code for computation of interpolant +# +# coeff_name - name of coefficient of data at a given [m] coordinate +# data_var_name - name of variable storing data value at a given [m] coordinate +# +> +################################################################################ +> +# +# ***** representation of numbers, data values, etc ***** +# +# We use RATIONAL(p.0,q.0) to denote the rational number p/q. +# +# We use DATA(...) to represent the data values being interpolated at a +# specified [m] coordinate, where the arguments are the [m] coordinates. +# +# We use COEFF(...) to represent the molecule coefficient at a specified +# [m] coordinate, where the arguments are the [m] coordinates. +# +# For example, the usual 1-D centered 2nd order 1st derivative molecule +# would be written +# RATIONAL(-1.0,2.0)*DATA(-1) + RATIONA(1.0,2.0)*DATA(1) +# and its coefficients as +# COEFF(-1) = RATIONAL(-1.0,2.0) +# COEFF(1) = RATIONAL(1.0,2.0) +# +> +################################################################################ +################################################################################ +################################################################################ +> +# +# This function computes a Lagrange polynomial interpolant in any +# number of dimensions. +# +# Arguments: +# fn = The interpolation function. This should be a procedure in the +# coordinates, having the coefficients as global variables. For +# example, +# proc(x,y) c00 + c10*x + c01*y end proc +# coeff_list = A set of the interpolation coefficients (coefficients in +# the interpolation function), for example [c00, c10, c01]. +# coord_list = A list of the coordinates (independent variables in the +# interpolation function), for example [x,y]. +# posn_list = A list of positions (each a list of numeric values) where the +# interpolant is to use data, for example hypercube([0,0], [1,1]). +# Any positions may be used; if they're redundant (as in the +# example) the least-squares interpolant is computed. +# +# Results: +# This function returns the interpolating polynomial, in the form of +# an algebraic expression in the coordinates and the data values. +# +> Lagrange_polynomial_interpolant := +> proc( +> fn::procedure, coeff_list::list(name), +> coord_list::list(name), posn_list::list(list(numeric)) +> ) +> local posn, data_eqns, coeff_eqns; +> +# coefficients of interpolating polynomial +> data_eqns := { seq( fn(op(posn))='DATA'(op(posn)) , posn=posn_list ) }; +> coeff_eqns := linalg[leastsqrs](data_eqns, {op(coeff_list)}); +> if (has(coeff_eqns, '_t')) +> then error "interpolation coefficients aren't uniquely determined!"; +> end if; +> +# interpolant as a polynomial in the coordinates +> return subs(coeff_eqns, eval(fn))(op(coord_list)); +> end proc; +Lagrange_polynomial_interpolant := proc(fn::procedure, coeff_list::list(name), +coord_list::list(name), posn_list::list(list(numeric))) +local posn, data_eqns, coeff_eqns; + data_eqns := {seq(fn(op(posn)) = 'DATA'(op(posn)), posn = posn_list)}; + coeff_eqns := linalg[leastsqrs](data_eqns, {op(coeff_list)}); + if has(coeff_eqns, '_t') then + error "interpolation coefficients aren't uniquely determined!" + end if; + return subs(coeff_eqns, eval(fn))(op(coord_list)) +end proc + +> +################################################################################ +> +# +# This function computes a Hermite polynomial interpolant in any +# number of dimensions. This is a polynomial which +# * has values which match the given data DATA() at a specified set of +# points, and +# * has derivatives which match the specified finite-difference derivatives +# of the given data DATA() at a specified set of points +# +# For the derivative matching, we actually match all possible products +# of 1st derivatives, i.e. in 2-D we match dx, dy, and dxy, in 3-D we +# match dx, dy, dz, dxy, dxz, dyz, and dxyz, etc etc. +# +# Arguments: +# fn = The interpolation function. This should be a procedure in the +# coordinates, having the coefficients as global variables. For +# example, +# proc(x,y) +# + c03*y^3 + c13*x*y^3 + c23*x^2*y^3 + c33*x^3*y^3 +# + c02*y^2 + c12*x*y^2 + c22*x^2*y^2 + c32*x^3*y^2 +# + c01*y + c11*x*y + c21*x^2*y + c31*x^3*y +# + c00 + c10*x + c20*x^2 + c30*x^3 +# end proc; +# coeff_set = A set of the interpolation coefficients (coefficients in +# the interpolation function), for example +# { +# c03, c13, c23, c33, +# c02, c12, c22, c32, +# c01, c11, c21, c31, +# c00, c10, c20, c30 +# } +# coord_list = A list of the coordinates (independent variables in the +# interpolation function), for example [x,y]. +# deriv_set = A set of equations of the form +# {coords} = proc +# giving the derivatives which are to be matched, and the +# procedures to compute their finite-difference approximations. +# Each procedure should take N_dims integer arguments specifying +# an evaluation point, and return a suitable linear combination +# of the DATA() for the derivative at that point. For example +# { +# {x} = proc(i::integer, j::integer) +# - 1/2*DATA(i-1,j) + 1/2*DATA(i+1,j) +# end proc +# , +# {y} = proc(i::integer, j::integer) +# - 1/2*DATA(i,j-1) + 1/2*DATA(i,j+1) +# end proc +# , +# {x,y} = proc(i::integer, j::integer) +# - 1/4*DATA(i-1,j+1) + 1/4*DATA(i+1,j+1) +# + 1/4*DATA(i-1,j-1) - 1/4*DATA(i+1,j-1) +# end proc +# } +# fn_posn_set = A set of positions (each a list of numeric values) +# where the interpolant is to match the given data DATA(), +# for example +# {[0,0], [0,1], [1,0], [1,1]} +# deriv_posn_set = A list of positions (each a list of numeric values) +# where the interpolant is to match the derivatives +# specified by deriv_set , for example +# {[0,0], [0,1], [1,0], [1,1]} +# +# Results: +# This function returns the interpolating polynomial, in the form of +# an algebraic expression in the coordinates and the data values. +# +> Hermite_polynomial_interpolant := +> proc( +> fn::procedure, +> coeff_set::set(name), +> coord_list::list(name), +> deriv_set::set(set(name) = procedure), +> fn_posn_set::set(list(numeric)), +> deriv_posn_set::set(list(numeric)) +> ) +> local fn_eqnset, deriv_eqnset, coeff_eqns, subs_eqnset; +> +> +# +# compute a set of equations +# {fn(posn) = DATA(posn)} +# giving the function values to be matched +# +> fn_eqnset := map( +> # return equation that fn(posn) = DATA(posn) +> proc(posn::list(integer)) +> fn(op(posn)) = 'DATA'(op(posn)); +> end proc +> , +> fn_posn_set +> ); +> +> +# +# compute a set of equations +# { diff(fn,coords)(posn) = DERIV(coords)(posn) } +# giving the derivative values to be matched, where DERIV(coords) +# is a placeholder for the appropriate derivative +# +> map( +> # return set of equations for this particular derivative +> proc(deriv_coords::set(name)) +> local deriv_fn; +> fn(op(coord_list)); +> diff(%, op(deriv_coords)); +> deriv_fn := unapply(%, op(coord_list)); +> map( +> proc(posn::list(integer)) +> deriv_fn(op(posn)) = 'DERIV'(op(deriv_coords))(op(posn)); +> end proc +> , +> deriv_posn_set +> ); +> end proc +> , +> map(lhs, deriv_set) +> ); +> deriv_eqnset := `union`(op(%)); +> +> +# +# solve overall set of equations for coefficients +# in terms of DATA() and DERIV() values +# +> coeff_eqns := solve[linear](fn_eqnset union deriv_eqnset, coeff_set); +> +> +# +# compute a set of substitution equations +# {'DERIV'(coords) = procedure} +# +> subs_eqnset := map( +> proc(eqn::set(name) = procedure) +> 'DERIV'(op(lhs(eqn))) = rhs(eqn); +> end proc +> , +> deriv_set +> ); +> +> +# +# compute the coefficients in terms of the DATA() values +# +> subs(subs_eqnset, coeff_eqns); +> eval(%); +> +# +# compute the interpolant as a polynomial in the coordinates +# +> subs(%, fn(op(coord_list))); +> end proc; +Hermite_polynomial_interpolant := proc(fn::procedure, coeff_set::set(name), +coord_list::list(name), deriv_set::set(set(name) = procedure), +fn_posn_set::set(list(numeric)), deriv_posn_set::set(list(numeric))) +local fn_eqnset, deriv_eqnset, coeff_eqns, subs_eqnset; + fn_eqnset := map( + proc(posn::list(integer)) fn(op(posn)) = 'DATA'(op(posn)) end proc, + fn_posn_set); + map(proc(deriv_coords::set(name)) + local deriv_fn; + fn(op(coord_list)); + diff(%, op(deriv_coords)); + deriv_fn := unapply(%, op(coord_list)); + map(proc(posn::list(integer)) + deriv_fn(op(posn)) = + 'DERIV'(op(deriv_coords))(op(posn)) + end proc, deriv_posn_set) + end proc, map(lhs, deriv_set)); + deriv_eqnset := `union`(op(%)); + coeff_eqns := solve[linear](fn_eqnset union deriv_eqnset, coeff_set); + subs_eqnset := map(proc(eqn::(set(name) = procedure)) + 'DERIV'(op(lhs(eqn))) = rhs(eqn) + end proc, deriv_set); + subs(subs_eqnset, coeff_eqns); + eval(%); + subs(%, fn(op(coord_list))) +end proc + +> +################################################################################ +> +# +# This function takes as input an interpolating polynomial, expresses +# it as a linear combination of the data values, and returns the coefficeints +# of that form. +# +# Arguments: +# interpolant = The interpolating polynomial (an algebraic expression +# in the coordinates and the data values). +# posn_list = The same list of data positions used in the interpolant. +# +# Results: +# This function returns the coefficients, as a list of equations of the +# form COEFF(...) = value , where each value is a polynomial in the +# coordinates. The order of the list matches that of posn_list. +# +> coeff_as_lc_of_data := +> proc( +> interpolant::algebraic, +> posn_list::list(list(numeric)) +> ) +> local data_list, interpolant_as_lc_of_data; +> +# interpolant as a linear combination of the data values +> data_list := [ seq( 'DATA'(op(posn)) , posn=posn_list ) ]; +> interpolant_as_lc_of_data := collect(interpolant, data_list); +> +# coefficients of the data values in the linear combination +> return map( +> proc(posn::list(numeric)) +> coeff(interpolant_as_lc_of_data, DATA(op(posn))); +> 'COEFF'(op(posn)) = %; +> end proc +> , +> posn_list +> ); +> end proc; +coeff_as_lc_of_data := proc( +interpolant::algebraic, posn_list::list(list(numeric))) +local data_list, interpolant_as_lc_of_data; + data_list := [seq('DATA'(op(posn)), posn = posn_list)]; + interpolant_as_lc_of_data := collect(interpolant, data_list); + return map(proc(posn::list(numeric)) + coeff(interpolant_as_lc_of_data, DATA(op(posn))); + 'COEFF'(op(posn)) = % + end proc, posn_list) +end proc + +> +################################################################################ +################################################################################ +################################################################################ +> +# +# This function prints C expressions for the coefficients of an +# interpolating polynomial. (The polynomial is expressed as linear +# combinations of the data values with coefficients which are +# RATIONAL(p,q) calls.) +# +# Arguments: +# coeff_list = A list of the coefficients, as returned from +# coeff_as_lc_of_data() . +# coeff_name_prefix = A prefix string for the coefficient names. +# temp_name_type = The C type to be used for Maple-introduced temporary +# names, eg. "double". +# file_name = The file name to write the coefficients to. This is +# truncated before writing. +# +> print_coeff__lc_of_data := +> proc( coeff_list::list(specfunc(numeric,COEFF) = algebraic), +> coeff_name_prefix::string, +> temp_name_type::string, +> file_name::string ) +> global `codegen/C/function/informed`; +> local coeff_list2, cmpt_list, temp_name_list; +> +# convert LHS of each equation from a COEFF() call (eg COEFF(-1,+1)) +# to a Maple/C variable name (eg coeff_I_m1_p1) +> coeff_list2 := map( +> proc(coeff_eqn::specfunc(numeric,COEFF) = algebraic) +> local posn; +> posn := [op(lhs(coeff_eqn))]; +> coeff_name(posn,coeff_name_prefix); +> convert(%, name); # codegen[C] wants LHS +> # to be an actual Maple *name* +> % = fix_rationals(rhs(coeff_eqn)); +> end proc +> , +> coeff_list +> ); +> +# +# generate the C code +# +> +# tell codegen[C] not to warn about unknown RATIONAL() and DATA() "fn calls" +# via undocumented :( global table +> `codegen/C/function/informed`['RATIONAL'] := true; +> `codegen/C/function/informed`['DATA'] := true; +> +> ftruncate(file_name); +> +# optimized computation sequence for all the coefficients +# (may use local variables t0,t1,t2,...) +> cmpt_list := [codegen[optimize](coeff_list2, tryhard)]; +> +# list of the t0,t1,t2,... local variables +> temp_name_list := nonmatching_names(map(lhs,cmpt_list), coeff_name_prefix); +> +# declare the t0,t1,t2,... local variables (if there are any) +> if (nops(temp_name_list) > 0) +> then print_name_list_dcl(%, temp_name_type, file_name); +> fi; +> +# now print the optimized computation sequence +> codegen[C](cmpt_list, filename=file_name); +> +> fclose(file_name); +> +> NULL; +> end proc; +print_coeff__lc_of_data := proc( +coeff_list::list(specfunc(numeric, COEFF) = algebraic), +coeff_name_prefix::string, temp_name_type::string, file_name::string) +local coeff_list2, cmpt_list, temp_name_list; +global `codegen/C/function/informed`; + coeff_list2 := map(proc( + coeff_eqn::(specfunc(numeric, COEFF) = algebraic)) + local posn; + posn := [op(lhs(coeff_eqn))]; + coeff_name(posn, coeff_name_prefix); + convert(%, name); + % = fix_rationals(rhs(coeff_eqn)) + end proc, coeff_list); + `codegen/C/function/informed`['RATIONAL'] := true; + `codegen/C/function/informed`['DATA'] := true; + ftruncate(file_name); + cmpt_list := [codegen[optimize](coeff_list2, tryhard)]; + temp_name_list := + nonmatching_names(map(lhs, cmpt_list), coeff_name_prefix); + if 0 < nops(temp_name_list) then + print_name_list_dcl(%, temp_name_type, file_name) + end if; + codegen[C](cmpt_list, filename = file_name); + fclose(file_name); + NULL +end proc + +> +################################################################################ +> +# +# This function prints a sequence of C expression to assign the data-value +# variables, eg +# data_m1_p1 = DATA(-1,1); +# +# Arguments: +# posn_list = The same list of positions as was used to compute the +# interpolating polynomial. +# data_var_name_prefix = A prefix string for the data variable names. +# file_name = The file name to write the coefficients to. This is +# truncated before writing. +# +> print_data_var_assign := +> proc( +> posn_list::list(list(numeric)), +> data_var_name_prefix::string, +> file_name::string +> ) +> +> ftruncate(file_name); +> map( +> proc(posn::list(numeric)) +> fprintf(file_name, +> "%s = %a;\n", +> data_var_name(posn,data_var_name_prefix), +> DATA(op(posn))); +> end proc +> , +> posn_list +> ); +> fclose(file_name); +> +> NULL; +> end proc; +print_data_var_assign := proc(posn_list::list(list(numeric)), +data_var_name_prefix::string, file_name::string) + ftruncate(file_name); + map(proc(posn::list(numeric)) + fprintf(file_name, "%s = %a;\n", + data_var_name(posn, data_var_name_prefix), DATA(op(posn))) + end proc, posn_list); + fclose(file_name); + NULL +end proc + +> +################################################################################ +> +# +# This function prints a sequence of C expression to store the interpolation +# coefficients in COEFF(...) expressions, eg +# COEFF(1,-1) = factor * coeff_dx_p1_m1; +# +# Arguments: +# posn_list = The same list of positions as was used to compute the +# interpolating polynomial. +# RHS_factor_name = If this string is non-empty, then the coefficient is +# multiplied by this factor before being stored, eg +# setting this to "factor" would give the example above. +# If this string is empty (""), the multiplication is +# omitted, eg +# COEFF(1,-1) = coeff_dx_p1_m1; +# coeff_name_prefix = A prefix string for the coefficient names. +# file_name = The file name to write the coefficients to. This is +# truncated before writing. +# +> print_interp_coeff_var_store := +> proc( +> posn_list::list(list(numeric)), +> RHS_factor_name::string, +> coeff_name_prefix::string, +> file_name::string +> ) +> +> ftruncate(file_name); +> map( +> proc(posn::list(numeric)) +> if (length(RHS_factor_name) > 0) +> then fprintf(file_name, +> "%a = %s * %s;\n", +> 'COEFF'(op(posn)), +> RHS_factor_name, +> coeff_name(posn,coeff_name_prefix)); +> else fprintf(file_name, +> "%a = %s;\n", +> 'COEFF'(op(posn)), +> coeff_name(posn,coeff_name_prefix)); +> end if; +> end proc +> , +> posn_list +> ); +> fclose(file_name); +> +> NULL; +> end proc; +print_interp_coeff_var_store := proc(posn_list::list(list(numeric)), +RHS_factor_name::string, coeff_name_prefix::string, file_name::string) + ftruncate(file_name); + map(proc(posn::list(numeric)) + if 0 < length(RHS_factor_name) then fprintf(file_name, + "%a = %s * %s;\n", 'COEFF'(op(posn)), RHS_factor_name, + coeff_name(posn, coeff_name_prefix)) + else fprintf(file_name, "%a = %s;\n", 'COEFF'(op(posn)), + coeff_name(posn, coeff_name_prefix)) + end if + end proc, posn_list); + fclose(file_name); + NULL +end proc + +> +################################################################################ +> +# +# This function prints a C expression to compute the interpolant, +# using the coefficients computed by print_coeff__lc_of_data() +# (i.e. expressing the interpolant as a linear combination of the +# data values). +# +# Arguments: +# posn_list = The same list of positions as was used to compute the +# interpolating polynomial. +# result_var_name = The (string) name of the variable to which the +# result is to be assigned. +# coeff_name_prefix = A prefix string for the coefficient names. +# data_var_name_prefix = A prefix string for the data variable names. +# file_name = The file name to write the coefficients to. This is +# truncated before writing. +# +> print_interp_cmpt__lc_of_data := +> proc( +> posn_list::list(list(numeric)), +> result_var_name::string, +> coeff_name_prefix::string, +> data_var_name_prefix::string, +> file_name::string +> ) +> +> ftruncate(file_name); +> +> fprintf(file_name, "%s =\n", result_var_name); +> +# list of "coeff*data_var" terms +> map( +> proc(posn::list(numeric)) +> sprintf("%s*%s", +> coeff_name(posn,coeff_name_prefix), +> data_var_name(posn,data_var_name_prefix)); +> end proc +> , +> posn_list +> ); +> +> ListTools[Join](%, "\n\t+ "); +> cat(op(%)); +> fprintf(file_name, "\t%s;\n", %); +> +> fclose(file_name); +> +> NULL; +> end proc; +print_interp_cmpt__lc_of_data := proc(posn_list::list(list(numeric)), +result_var_name::string, coeff_name_prefix::string, +data_var_name_prefix::string, file_name::string) + ftruncate(file_name); + fprintf(file_name, "%s =\n", result_var_name); + map(proc(posn::list(numeric)) + sprintf("%s*%s", coeff_name(posn, coeff_name_prefix), + data_var_name(posn, data_var_name_prefix)) + end proc, posn_list); + ListTools[Join](%, "\n\t+ "); + cat(op(%)); + fprintf(file_name, "\t%s;\n", %); + fclose(file_name); + NULL +end proc + +> +################################################################################ +################################################################################ +################################################################################ +> +# +# This function computes the name of the coefficient of the data at a +# given [m] position, i.e. it encapsulates our naming convention for this. +# +# Arguments: +# posn = (in) The [m] coordinates. +# name_prefix = A prefix string for the coefficient name. +# +# Results: +# The function returns the coefficient, as a Maple string. +# +> coeff_name := +> proc(posn::list(numeric), name_prefix::string) +> cat(name_prefix, sprint_numeric_list(posn)); +> end proc; +coeff_name := proc(posn::list(numeric), name_prefix::string) + cat(name_prefix, sprint_numeric_list(posn)) +end proc + +> +################################################################################ +> +# +# This function computes the name of the variable in which the C code +# will store the input data at a given [m] position, i.e. it encapsulates +# our naming convention for this. +# +# Arguments: +# posn = (in) The [m] coordinates. +# name_prefix = A prefix string for the variable name. +# +# Results: +# The function returns the variable name, as a Maple string. +# +> data_var_name := +> proc(posn::list(numeric), name_prefix::string) +> cat(name_prefix, sprint_numeric_list(posn)); +> end proc; +data_var_name := proc(posn::list(numeric), name_prefix::string) + cat(name_prefix, sprint_numeric_list(posn)) +end proc + +# Maple code to compute lists of point positions in hypercube-shaped molecules +# $Header: /cactusdevcvs/CactusBase/LocalInterp/src/GeneralizedPolynomial-Uniform/common/cube_posns.maple,v 1.3 2002/08/20 16:56:41 jthorn Exp $ +> +################################################################################ +> +# +# 1D interpolation points +# +> posn_list_1d_size2 := hypercube_points([ 0], [+1]); + posn_list_1d_size2 := [[0], [1]] + +> posn_list_1d_size3 := hypercube_points([-1], [+1]); + posn_list_1d_size3 := [[-1], [0], [1]] + +> posn_list_1d_size4 := hypercube_points([-1], [+2]); + posn_list_1d_size4 := [[-1], [0], [1], [2]] + +> posn_list_1d_size5 := hypercube_points([-2], [+2]); + posn_list_1d_size5 := [[-2], [-1], [0], [1], [2]] + +> posn_list_1d_size6 := hypercube_points([-2], [+3]); + posn_list_1d_size6 := [[-2], [-1], [0], [1], [2], [3]] + +> posn_list_1d_size7 := hypercube_points([-3], [+3]); + posn_list_1d_size7 := [[-3], [-2], [-1], [0], [1], [2], [3]] + +> +################################################################################ +> +# +# 2D interpolation points (Fortran ordering) +# +> posn_list_2d_size2 := map(ListTools[Reverse], +> hypercube_points([ 0, 0], [+1,+1])); + posn_list_2d_size2 := [[0, 0], [1, 0], [0, 1], [1, 1]] + +> posn_list_2d_size3 := map(ListTools[Reverse], +> hypercube_points([-1,-1], [+1,+1])); +posn_list_2d_size3 := [[-1, -1], [0, -1], [1, -1], [-1, 0], [0, 0], [1, 0], + + [-1, 1], [0, 1], [1, 1]] + +> posn_list_2d_size4 := map(ListTools[Reverse], +> hypercube_points([-1,-1], [+2,+2])); +posn_list_2d_size4 := [[-1, -1], [0, -1], [1, -1], [2, -1], [-1, 0], [0, 0], + + [1, 0], [2, 0], [-1, 1], [0, 1], [1, 1], [2, 1], [-1, 2], [0, 2], [1, 2], + + [2, 2]] + +> posn_list_2d_size5 := map(ListTools[Reverse], +> hypercube_points([-2,-2], [+2,+2])); +posn_list_2d_size5 := [[-2, -2], [-1, -2], [0, -2], [1, -2], [2, -2], [-2, -1], + + [-1, -1], [0, -1], [1, -1], [2, -1], [-2, 0], [-1, 0], [0, 0], [1, 0], + + [2, 0], [-2, 1], [-1, 1], [0, 1], [1, 1], [2, 1], [-2, 2], [-1, 2], [0, 2], + + [1, 2], [2, 2]] + +> posn_list_2d_size6 := map(ListTools[Reverse], +> hypercube_points([-2,-2], [+3,+3])); +posn_list_2d_size6 := [[-2, -2], [-1, -2], [0, -2], [1, -2], [2, -2], [3, -2], + + [-2, -1], [-1, -1], [0, -1], [1, -1], [2, -1], [3, -1], [-2, 0], [-1, 0], + + [0, 0], [1, 0], [2, 0], [3, 0], [-2, 1], [-1, 1], [0, 1], [1, 1], [2, 1], + + [3, 1], [-2, 2], [-1, 2], [0, 2], [1, 2], [2, 2], [3, 2], [-2, 3], [-1, 3], + + [0, 3], [1, 3], [2, 3], [3, 3]] + +> +################################################################################ +> +# +# 3D interpolation points (Fortran ordering) +# +> posn_list_3d_size2 := map(ListTools[Reverse], +> hypercube_points([ 0, 0, 0], [+1,+1,+1])); +posn_list_3d_size2 := [[0, 0, 0], [1, 0, 0], [0, 1, 0], [1, 1, 0], [0, 0, 1], + + [1, 0, 1], [0, 1, 1], [1, 1, 1]] + +> posn_list_3d_size3 := map(ListTools[Reverse], +> hypercube_points([-1,-1,-1], [+1,+1,+1])); +posn_list_3d_size3 := [[-1, -1, -1], [0, -1, -1], [1, -1, -1], [-1, 0, -1], + + [0, 0, -1], [1, 0, -1], [-1, 1, -1], [0, 1, -1], [1, 1, -1], [-1, -1, 0], + + [0, -1, 0], [1, -1, 0], [-1, 0, 0], [0, 0, 0], [1, 0, 0], [-1, 1, 0], + + [0, 1, 0], [1, 1, 0], [-1, -1, 1], [0, -1, 1], [1, -1, 1], [-1, 0, 1], + + [0, 0, 1], [1, 0, 1], [-1, 1, 1], [0, 1, 1], [1, 1, 1]] + +> posn_list_3d_size4 := map(ListTools[Reverse], +> hypercube_points([-1,-1,-1], [+2,+2,+2])); +posn_list_3d_size4 := [[-1, -1, -1], [0, -1, -1], [1, -1, -1], [2, -1, -1], + + [-1, 0, -1], [0, 0, -1], [1, 0, -1], [2, 0, -1], [-1, 1, -1], [0, 1, -1], + + [1, 1, -1], [2, 1, -1], [-1, 2, -1], [0, 2, -1], [1, 2, -1], [2, 2, -1], + + [-1, -1, 0], [0, -1, 0], [1, -1, 0], [2, -1, 0], [-1, 0, 0], [0, 0, 0], + + [1, 0, 0], [2, 0, 0], [-1, 1, 0], [0, 1, 0], [1, 1, 0], [2, 1, 0], + + [-1, 2, 0], [0, 2, 0], [1, 2, 0], [2, 2, 0], [-1, -1, 1], [0, -1, 1], + + [1, -1, 1], [2, -1, 1], [-1, 0, 1], [0, 0, 1], [1, 0, 1], [2, 0, 1], + + [-1, 1, 1], [0, 1, 1], [1, 1, 1], [2, 1, 1], [-1, 2, 1], [0, 2, 1], + + [1, 2, 1], [2, 2, 1], [-1, -1, 2], [0, -1, 2], [1, -1, 2], [2, -1, 2], + + [-1, 0, 2], [0, 0, 2], [1, 0, 2], [2, 0, 2], [-1, 1, 2], [0, 1, 2], + + [1, 1, 2], [2, 1, 2], [-1, 2, 2], [0, 2, 2], [1, 2, 2], [2, 2, 2]] + +> posn_list_3d_size5 := map(ListTools[Reverse], +> hypercube_points([-2,-2,-2], [+2,+2,+2])); +posn_list_3d_size5 := [[-2, -2, -2], [-1, -2, -2], [0, -2, -2], [1, -2, -2], + + [2, -2, -2], [-2, -1, -2], [-1, -1, -2], [0, -1, -2], [1, -1, -2], + + [2, -1, -2], [-2, 0, -2], [-1, 0, -2], [0, 0, -2], [1, 0, -2], [2, 0, -2], + + [-2, 1, -2], [-1, 1, -2], [0, 1, -2], [1, 1, -2], [2, 1, -2], [-2, 2, -2], + + [-1, 2, -2], [0, 2, -2], [1, 2, -2], [2, 2, -2], [-2, -2, -1], [-1, -2, -1], + + [0, -2, -1], [1, -2, -1], [2, -2, -1], [-2, -1, -1], [-1, -1, -1], + + [0, -1, -1], [1, -1, -1], [2, -1, -1], [-2, 0, -1], [-1, 0, -1], [0, 0, -1], + + [1, 0, -1], [2, 0, -1], [-2, 1, -1], [-1, 1, -1], [0, 1, -1], [1, 1, -1], + + [2, 1, -1], [-2, 2, -1], [-1, 2, -1], [0, 2, -1], [1, 2, -1], [2, 2, -1], + + [-2, -2, 0], [-1, -2, 0], [0, -2, 0], [1, -2, 0], [2, -2, 0], [-2, -1, 0], + + [-1, -1, 0], [0, -1, 0], [1, -1, 0], [2, -1, 0], [-2, 0, 0], [-1, 0, 0], + + [0, 0, 0], [1, 0, 0], [2, 0, 0], [-2, 1, 0], [-1, 1, 0], [0, 1, 0], + + [1, 1, 0], [2, 1, 0], [-2, 2, 0], [-1, 2, 0], [0, 2, 0], [1, 2, 0], + + [2, 2, 0], [-2, -2, 1], [-1, -2, 1], [0, -2, 1], [1, -2, 1], [2, -2, 1], + + [-2, -1, 1], [-1, -1, 1], [0, -1, 1], [1, -1, 1], [2, -1, 1], [-2, 0, 1], + + [-1, 0, 1], [0, 0, 1], [1, 0, 1], [2, 0, 1], [-2, 1, 1], [-1, 1, 1], + + [0, 1, 1], [1, 1, 1], [2, 1, 1], [-2, 2, 1], [-1, 2, 1], [0, 2, 1], + + [1, 2, 1], [2, 2, 1], [-2, -2, 2], [-1, -2, 2], [0, -2, 2], [1, -2, 2], + + [2, -2, 2], [-2, -1, 2], [-1, -1, 2], [0, -1, 2], [1, -1, 2], [2, -1, 2], + + [-2, 0, 2], [-1, 0, 2], [0, 0, 2], [1, 0, 2], [2, 0, 2], [-2, 1, 2], + + [-1, 1, 2], [0, 1, 2], [1, 1, 2], [2, 1, 2], [-2, 2, 2], [-1, 2, 2], + + [0, 2, 2], [1, 2, 2], [2, 2, 2]] + +> posn_list_3d_size6 := map(ListTools[Reverse], +> hypercube_points([-2,-2,-2], [+3,+3,+3])); +posn_list_3d_size6 := [[-2, -2, -2], [-1, -2, -2], [0, -2, -2], [1, -2, -2], + + [2, -2, -2], [3, -2, -2], [-2, -1, -2], [-1, -1, -2], [0, -1, -2], + + [1, -1, -2], [2, -1, -2], [3, -1, -2], [-2, 0, -2], [-1, 0, -2], [0, 0, -2], + + [1, 0, -2], [2, 0, -2], [3, 0, -2], [-2, 1, -2], [-1, 1, -2], [0, 1, -2], + + [1, 1, -2], [2, 1, -2], [3, 1, -2], [-2, 2, -2], [-1, 2, -2], [0, 2, -2], + + [1, 2, -2], [2, 2, -2], [3, 2, -2], [-2, 3, -2], [-1, 3, -2], [0, 3, -2], + + [1, 3, -2], [2, 3, -2], [3, 3, -2], [-2, -2, -1], [-1, -2, -1], [0, -2, -1], + + [1, -2, -1], [2, -2, -1], [3, -2, -1], [-2, -1, -1], [-1, -1, -1], + + [0, -1, -1], [1, -1, -1], [2, -1, -1], [3, -1, -1], [-2, 0, -1], + + [-1, 0, -1], [0, 0, -1], [1, 0, -1], [2, 0, -1], [3, 0, -1], [-2, 1, -1], + + [-1, 1, -1], [0, 1, -1], [1, 1, -1], [2, 1, -1], [3, 1, -1], [-2, 2, -1], + + [-1, 2, -1], [0, 2, -1], [1, 2, -1], [2, 2, -1], [3, 2, -1], [-2, 3, -1], + + [-1, 3, -1], [0, 3, -1], [1, 3, -1], [2, 3, -1], [3, 3, -1], [-2, -2, 0], + + [-1, -2, 0], [0, -2, 0], [1, -2, 0], [2, -2, 0], [3, -2, 0], [-2, -1, 0], + + [-1, -1, 0], [0, -1, 0], [1, -1, 0], [2, -1, 0], [3, -1, 0], [-2, 0, 0], + + [-1, 0, 0], [0, 0, 0], [1, 0, 0], [2, 0, 0], [3, 0, 0], [-2, 1, 0], + + [-1, 1, 0], [0, 1, 0], [1, 1, 0], [2, 1, 0], [3, 1, 0], [-2, 2, 0], + + [-1, 2, 0], [0, 2, 0], [1, 2, 0], [2, 2, 0], [3, 2, 0], [-2, 3, 0], + + [-1, 3, 0], [0, 3, 0], [1, 3, 0], [2, 3, 0], [3, 3, 0], [-2, -2, 1], + + [-1, -2, 1], [0, -2, 1], [1, -2, 1], [2, -2, 1], [3, -2, 1], [-2, -1, 1], + + [-1, -1, 1], [0, -1, 1], [1, -1, 1], [2, -1, 1], [3, -1, 1], [-2, 0, 1], + + [-1, 0, 1], [0, 0, 1], [1, 0, 1], [2, 0, 1], [3, 0, 1], [-2, 1, 1], + + [-1, 1, 1], [0, 1, 1], [1, 1, 1], [2, 1, 1], [3, 1, 1], [-2, 2, 1], + + [-1, 2, 1], [0, 2, 1], [1, 2, 1], [2, 2, 1], [3, 2, 1], [-2, 3, 1], + + [-1, 3, 1], [0, 3, 1], [1, 3, 1], [2, 3, 1], [3, 3, 1], [-2, -2, 2], + + [-1, -2, 2], [0, -2, 2], [1, -2, 2], [2, -2, 2], [3, -2, 2], [-2, -1, 2], + + [-1, -1, 2], [0, -1, 2], [1, -1, 2], [2, -1, 2], [3, -1, 2], [-2, 0, 2], + + [-1, 0, 2], [0, 0, 2], [1, 0, 2], [2, 0, 2], [3, 0, 2], [-2, 1, 2], + + [-1, 1, 2], [0, 1, 2], [1, 1, 2], [2, 1, 2], [3, 1, 2], [-2, 2, 2], + + [-1, 2, 2], [0, 2, 2], [1, 2, 2], [2, 2, 2], [3, 2, 2], [-2, 3, 2], + + [-1, 3, 2], [0, 3, 2], [1, 3, 2], [2, 3, 2], [3, 3, 2], [-2, -2, 3], + + [-1, -2, 3], [0, -2, 3], [1, -2, 3], [2, -2, 3], [3, -2, 3], [-2, -1, 3], + + [-1, -1, 3], [0, -1, 3], [1, -1, 3], [2, -1, 3], [3, -1, 3], [-2, 0, 3], + + [-1, 0, 3], [0, 0, 3], [1, 0, 3], [2, 0, 3], [3, 0, 3], [-2, 1, 3], + + [-1, 1, 3], [0, 1, 3], [1, 1, 3], [2, 1, 3], [3, 1, 3], [-2, 2, 3], + + [-1, 2, 3], [0, 2, 3], [1, 2, 3], [2, 2, 3], [3, 2, 3], [-2, 3, 3], + + [-1, 3, 3], [0, 3, 3], [1, 3, 3], [2, 3, 3], [3, 3, 3]] + +# Maple code to define Hermite interpolating functions/coords/coeffs/mols +# $Header:$ +> +# +# Note: +# interpolation order 2 <==> fn order 3, 3-point (2nd order) derivative mols +# interpolation order 3 <==> fn order 3, 5-point (4th order) derivative mols +# interpolation order 4 <==> fn order 5, 5-point (4th order) derivative mols +# +> +################################################################################ +################################################################################ +################################################################################ +> +# +# derivative primitives +# (argument is a procedure which should map m into the DATA() reference) +# +> +> dx_3point := +> proc(f::procedure(integer)) +> (1/2) * (-f(-1) + f(+1)) +> end proc; + dx_3point := proc(f::procedure(integer)) -1/2*f(-1) + 1/2*f(1) end proc + +> +> dx_5point := +> proc(f::procedure(integer)) +> (1/12) * (f(-2) - 8*f(-1) + 8*f(+1) - f(+2)) +> end proc; +dx_5point := proc(f::procedure(integer)) + 1/12*f(-2) - 2/3*f(-1) + 2/3*f(1) - 1/12*f(2) +end proc + +> +################################################################################ +################################################################################ +################################################################################ +> +# +# 1-D interpolating functions +# +> +> fn_1d_order3 := +> proc(x) +> + c0 + c1*x + c2*x^2 + c3*x^3 +> end proc; + fn_1d_order3 := proc(x) c0 + c1*x + c2*x^2 + c3*x^3 end proc + +> +> fn_1d_order5 := +> proc(x) +> + c0 + c1*x + c2*x^2 + c3*x^3 + c4*x^4 + c5*x^5 +> end proc; + fn_1d_order5 := proc(x) c0 + c1*x + c2*x^2 + c3*x^3 + c4*x^4 + c5*x^5 end proc + +> +################################################################################ +> +# coordinates for 1-D interpolating functions +> coord_list_1d := [x]; + coord_list_1d := [x] + +> +################################################################################ +> +# +# coefficients in 1-D interpolating functions +# +> +> coeff_set_1d_order3 := {c0, c1, c2, c3}; + coeff_set_1d_order3 := {c0, c1, c2, c3} + +> coeff_set_1d_order5 := {c0, c1, c2, c3, c4, c5}; + coeff_set_1d_order5 := {c0, c1, c2, c3, c4, c5} + +> +################################################################################ +> +# +# 1-D derivative molecules (argument = molecule center) +# +> +> deriv_1d_dx_3point := proc(i::integer) +> dx_3point(proc(mi::integer) DATA(i+mi) end proc) +> end proc; +deriv_1d_dx_3point := proc(i::integer) + dx_3point(proc(mi::integer) DATA(i + mi) end proc) +end proc + +> deriv_1d_dx_5point := proc(i::integer) +> dx_5point(proc(mi::integer) DATA(i+mi) end proc) +> end proc; +deriv_1d_dx_5point := proc(i::integer) + dx_5point(proc(mi::integer) DATA(i + mi) end proc) +end proc + +> +################################################################################ +################################################################################ +################################################################################ +> +# +# 2-D interpolating functions +# +> +> fn_2d_order3 := +> proc(x,y) +> + c03*y^3 + c13*x*y^3 + c23*x^2*y^3 + c33*x^3*y^3 +> + c02*y^2 + c12*x*y^2 + c22*x^2*y^2 + c32*x^3*y^2 +> + c01*y + c11*x*y + c21*x^2*y + c31*x^3*y +> + c00 + c10*x + c20*x^2 + c30*x^3 +> end proc; +fn_2d_order3 := proc(x, y) + c03*y^3 + c13*x*y^3 + c23*x^2*y^3 + c33*x^3*y^3 + c02*y^2 + c12*x*y^2 + + c22*x^2*y^2 + c32*x^3*y^2 + c01*y + c11*x*y + c21*x^2*y + c31*x^3*y + + c00 + c10*x + c20*x^2 + c30*x^3 +end proc + +> +> fn_2d_order5 := +> proc(x,y) +> + c05*y^5 + c15*x*y^5 + c25*x^2*y^5 + c35*x^3*y^5 + c45*x^4*y^5 + c55*x^5*y^5 +> + c04*y^4 + c14*x*y^4 + c24*x^2*y^4 + c34*x^3*y^4 + c44*x^4*y^4 + c54*x^5*y^4 +> + c03*y^3 + c13*x*y^3 + c23*x^2*y^3 + c33*x^3*y^3 + c43*x^4*y^3 + c53*x^5*y^3 +> + c02*y^2 + c12*x*y^2 + c22*x^2*y^2 + c32*x^3*y^2 + c42*x^4*y^2 + c52*x^5*y^2 +> + c01*y + c11*x*y + c21*x^2*y + c31*x^3*y + c41*x^4*y + c51*x^5*y +> + c00 + c10*x + c20*x^2 + c30*x^3 + c40*x^4 + c50*x^5 +> end proc; +fn_2d_order5 := proc(x, y) + c34*x^3*y^4 + c14*x*y^4 + c03*y^3 + c02*y^2 + c01*y + c10*x + c20*x^2 + + c30*x^3 + c05*y^5 + c04*y^4 + c40*x^4 + c50*x^5 + c13*x*y^3 + + c23*x^2*y^3 + c33*x^3*y^3 + c12*x*y^2 + c22*x^2*y^2 + c32*x^3*y^2 + + c11*x*y + c21*x^2*y + c31*x^3*y + c15*x*y^5 + c25*x^2*y^5 + + c35*x^3*y^5 + c45*x^4*y^5 + c55*x^5*y^5 + c24*x^2*y^4 + c44*x^4*y^4 + + c54*x^5*y^4 + c43*x^4*y^3 + c53*x^5*y^3 + c42*x^4*y^2 + c52*x^5*y^2 + + c41*x^4*y + c51*x^5*y + c00 +end proc + +> +################################################################################ +> +# coordinates for 2-D interpolating functions +> coord_list_2d := [x,y]; + coord_list_2d := [x, y] + +> +################################################################################ +> +# +# coefficients in 2-D interpolating functions +# +> +> coeff_set_2d_order3 := { +> c03, c13, c23, c33, +> c02, c12, c22, c32, +> c01, c11, c21, c31, +> c00, c10, c20, c30 +> }; +coeff_set_2d_order3 := {c03, c13, c23, c33, c02, c12, c22, c32, c01, c11, c21, + + c31, c00, c10, c20, c30} + +> +> coeff_set_2d_order5 := { +> c05, c15, c25, c35, c45, c55, +> c04, c14, c24, c34, c44, c54, +> c03, c13, c23, c33, c43, c53, +> c02, c12, c22, c32, c42, c52, +> c01, c11, c21, c31, c41, c51, +> c00, c10, c20, c30, c40, c50 +> }; +coeff_set_2d_order5 := {c03, c13, c23, c33, c02, c12, c22, c32, c01, c11, c21, + + c31, c00, c10, c20, c30, c05, c15, c25, c35, c45, c55, c04, c14, c24, c34, + + c44, c54, c43, c53, c42, c52, c41, c51, c40, c50} + +> +################################################################################ +> +# +# 2-D derivative molecules (arguments = molecule center) +# +> +> deriv_2d_dx_3point := proc(i::integer, j::integer) +> dx_3point( +> proc(mi::integer) DATA(i+mi,j) end proc +> ) +> end proc; +deriv_2d_dx_3point := proc(i::integer, j::integer) + dx_3point(proc(mi::integer) DATA(i + mi, j) end proc) +end proc + +> deriv_2d_dy_3point := proc(i::integer, j::integer) +> dx_3point( +> proc(mj::integer) DATA(i,j+mj) end proc +> ) +> end proc; +deriv_2d_dy_3point := proc(i::integer, j::integer) + dx_3point(proc(mj::integer) DATA(i, j + mj) end proc) +end proc + +> deriv_2d_dxy_3point := proc(i::integer, j::integer) +> dx_3point( +> proc(mi::integer) +> dx_3point(proc(mj::integer) DATA(i+mi,j+mj) end proc) +> end proc +> ) +> end proc; +deriv_2d_dxy_3point := proc(i::integer, j::integer) + dx_3point(proc(mi::integer) + dx_3point(proc(mj::integer) DATA(i + mi, j + mj) end proc) + end proc) +end proc + +> +> deriv_2d_dx_5point := proc(i::integer, j::integer) +> dx_5point( +> proc(mi::integer) DATA(i+mi,j) end proc +> ) +> end proc; +deriv_2d_dx_5point := proc(i::integer, j::integer) + dx_5point(proc(mi::integer) DATA(i + mi, j) end proc) +end proc + +> deriv_2d_dy_5point := proc(i::integer, j::integer) +> dx_5point( +> proc(mj::integer) DATA(i,j+mj) end proc +> ) +> end proc; +deriv_2d_dy_5point := proc(i::integer, j::integer) + dx_5point(proc(mj::integer) DATA(i, j + mj) end proc) +end proc + +> deriv_2d_dxy_5point := proc(i::integer, j::integer) +> dx_5point( +> proc(mi::integer) +> dx_5point(proc(mj::integer) DATA(i+mi,j+mj) end proc) +> end proc +> ) +> end proc; +deriv_2d_dxy_5point := proc(i::integer, j::integer) + dx_5point(proc(mi::integer) + dx_5point(proc(mj::integer) DATA(i + mi, j + mj) end proc) + end proc) +end proc + +> +################################################################################ +################################################################################ +################################################################################ +> +# +# 3-D interpolating functions +# +> +> fn_3d_order3 := +> proc(x,y,z) +# z^3 --------------------------------------------------------------- +> + c033*y^3*z^3 + c133*x*y^3*z^3 + c233*x^2*y^3*z^3 + c333*x^3*y^3*z^3 +> + c023*y^2*z^3 + c123*x*y^2*z^3 + c223*x^2*y^2*z^3 + c323*x^3*y^2*z^3 +> + c013*y *z^3 + c113*x*y *z^3 + c213*x^2*y *z^3 + c313*x^3*y *z^3 +> + c003 *z^3 + c103*x *z^3 + c203*x^2 *z^3 + c303*x^3 *z^3 +# z^2 --------------------------------------------------------------- +> + c032*y^3*z^2 + c132*x*y^3*z^2 + c232*x^2*y^3*z^2 + c332*x^3*y^3*z^2 +> + c022*y^2*z^2 + c122*x*y^2*z^2 + c222*x^2*y^2*z^2 + c322*x^3*y^2*z^2 +> + c012*y *z^2 + c112*x*y *z^2 + c212*x^2*y *z^2 + c312*x^3*y *z^2 +> + c002 *z^2 + c102*x *z^2 + c202*x^2 *z^2 + c302*x^3 *z^2 +# z^1 --------------------------------------------------------------- +> + c031*y^3*z + c131*x*y^3*z + c231*x^2*y^3*z + c331*x^3*y^3*z +> + c021*y^2*z + c121*x*y^2*z + c221*x^2*y^2*z + c321*x^3*y^2*z +> + c011*y *z + c111*x*y *z + c211*x^2*y *z + c311*x^3*y *z +> + c001 *z + c101*x *z + c201*x^2 *z + c301*x^3 *z +# z^0 --------------------------------------------------------------- +> + c030*y^3 + c130*x*y^3 + c230*x^2*y^3 + c330*x^3*y^3 +> + c020*y^2 + c120*x*y^2 + c220*x^2*y^2 + c320*x^3*y^2 +> + c010*y + c110*x*y + c210*x^2*y + c310*x^3*y +> + c000 + c100*x + c200*x^2 + c300*x^3 +> end proc; +fn_3d_order3 := proc(x, y, z) + c330*x^3*y^3 + c031*y^3*z + c103*x*z^3 + c022*y^2*z^2 + c301*x^3*z + + c133*x*y^3*z^3 + c233*x^2*y^3*z^3 + c333*x^3*y^3*z^3 + + c123*x*y^2*z^3 + c223*x^2*y^2*z^3 + c323*x^3*y^2*z^3 + c113*x*y*z^3 + + c213*x^2*y*z^3 + c313*x^3*y*z^3 + c132*x*y^3*z^2 + c232*x^2*y^3*z^2 + + c332*x^3*y^3*z^2 + c122*x*y^2*z^2 + c222*x^2*y^2*z^2 + + c322*x^3*y^2*z^2 + c112*x*y*z^2 + c212*x^2*y*z^2 + c312*x^3*y*z^2 + + c131*x*y^3*z + c231*x^2*y^3*z + c331*x^3*y^3*z + c121*x*y^2*z + + c221*x^2*y^2*z + c321*x^3*y^2*z + c111*x*y*z + c211*x^2*y*z + + c311*x^3*y*z + c033*y^3*z^3 + c023*y^2*z^3 + c013*y*z^3 + + c203*x^2*z^3 + c303*x^3*z^3 + c032*y^3*z^2 + c012*y*z^2 + c102*x*z^2 + + c202*x^2*z^2 + c302*x^3*z^2 + c021*y^2*z + c011*y*z + c101*x*z + + c201*x^2*z + c130*x*y^3 + c230*x^2*y^3 + c120*x*y^2 + c220*x^2*y^2 + + c320*x^3*y^2 + c110*x*y + c210*x^2*y + c310*x^3*y + c003*z^3 + + c002*z^2 + c001*z + c030*y^3 + c020*y^2 + c010*y + c000 + c100*x + + c200*x^2 + c300*x^3 +end proc + +> +> fn_3d_order5 := +> proc(x,y,z) +# z^5 +> + c055*y^5*z^5 + c155*x*y^5*z^5 + c255*x^2*y^5*z^5 + c355*x^3*y^5*z^5 + c455*x^4*y^5*z^5 + c555*x^5*y^5*z^5 +> + c045*y^4*z^5 + c145*x*y^4*z^5 + c245*x^2*y^4*z^5 + c345*x^3*y^4*z^5 + c445*x^4*y^4*z^5 + c545*x^5*y^4*z^5 +> + c035*y^3*z^5 + c135*x*y^3*z^5 + c235*x^2*y^3*z^5 + c335*x^3*y^3*z^5 + c435*x^4*y^3*z^5 + c535*x^5*y^3*z^5 +> + c025*y^2*z^5 + c125*x*y^2*z^5 + c225*x^2*y^2*z^5 + c325*x^3*y^2*z^5 + c425*x^4*y^2*z^5 + c525*x^5*y^2*z^5 +> + c015*y *z^5 + c115*x*y *z^5 + c215*x^2*y *z^5 + c315*x^3*y *z^5 + c415*x^4*y *z^5 + c515*x^5*y *z^5 +> + c005 *z^5 + c105*x *z^5 + c205*x^2 *z^5 + c305*x^3 *z^5 + c405*x^4 *z^5 + c505*x^5 *z^5 +# z^4 +> + c054*y^5*z^4 + c154*x*y^5*z^4 + c254*x^2*y^5*z^4 + c354*x^3*y^5*z^4 + c454*x^4*y^5*z^4 + c554*x^5*y^5*z^4 +> + c044*y^4*z^4 + c144*x*y^4*z^4 + c244*x^2*y^4*z^4 + c344*x^3*y^4*z^4 + c444*x^4*y^4*z^4 + c544*x^5*y^4*z^4 +> + c034*y^3*z^4 + c134*x*y^3*z^4 + c234*x^2*y^3*z^4 + c334*x^3*y^3*z^4 + c434*x^4*y^3*z^4 + c534*x^5*y^3*z^4 +> + c024*y^2*z^4 + c124*x*y^2*z^4 + c224*x^2*y^2*z^4 + c324*x^3*y^2*z^4 + c424*x^4*y^2*z^4 + c524*x^5*y^2*z^4 +> + c014*y *z^4 + c114*x*y *z^4 + c214*x^2*y *z^4 + c314*x^3*y *z^4 + c414*x^4*y *z^4 + c514*x^5*y *z^4 +> + c004 *z^4 + c104*x *z^4 + c204*x^2 *z^4 + c304*x^3 *z^4 + c404*x^4 *z^4 + c504*x^5 *z^4 +# z^3 +> + c053*y^5*z^3 + c153*x*y^5*z^3 + c253*x^2*y^5*z^3 + c353*x^3*y^5*z^3 + c453*x^4*y^5*z^3 + c553*x^5*y^5*z^3 +> + c043*y^4*z^3 + c143*x*y^4*z^3 + c243*x^2*y^4*z^3 + c343*x^3*y^4*z^3 + c443*x^4*y^4*z^3 + c543*x^5*y^4*z^3 +> + c033*y^3*z^3 + c133*x*y^3*z^3 + c233*x^2*y^3*z^3 + c333*x^3*y^3*z^3 + c433*x^4*y^3*z^3 + c533*x^5*y^3*z^3 +> + c023*y^2*z^3 + c123*x*y^2*z^3 + c223*x^2*y^2*z^3 + c323*x^3*y^2*z^3 + c423*x^4*y^2*z^3 + c523*x^5*y^2*z^3 +> + c013*y *z^3 + c113*x*y *z^3 + c213*x^2*y *z^3 + c313*x^3*y *z^3 + c413*x^4*y *z^3 + c513*x^5*y *z^3 +> + c003 *z^3 + c103*x *z^3 + c203*x^2 *z^3 + c303*x^3 *z^3 + c403*x^4 *z^3 + c503*x^5 *z^3 +# z^2 +> + c052*y^5*z^2 + c152*x*y^5*z^2 + c252*x^2*y^5*z^2 + c352*x^3*y^5*z^2 + c452*x^4*y^5*z^2 + c552*x^5*y^5*z^2 +> + c042*y^4*z^2 + c142*x*y^4*z^2 + c242*x^2*y^4*z^2 + c342*x^3*y^4*z^2 + c442*x^4*y^4*z^2 + c542*x^5*y^4*z^2 +> + c032*y^3*z^2 + c132*x*y^3*z^2 + c232*x^2*y^3*z^2 + c332*x^3*y^3*z^2 + c432*x^4*y^3*z^2 + c532*x^5*y^3*z^2 +> + c022*y^2*z^2 + c122*x*y^2*z^2 + c222*x^2*y^2*z^2 + c322*x^3*y^2*z^2 + c422*x^4*y^2*z^2 + c522*x^5*y^2*z^2 +> + c012*y *z^2 + c112*x*y *z^2 + c212*x^2*y *z^2 + c312*x^3*y *z^2 + c412*x^4*y *z^2 + c512*x^5*y *z^2 +> + c002 *z^2 + c102*x *z^2 + c202*x^2 *z^2 + c302*x^3 *z^2 + c402*x^4 *z^2 + c502*x^5 *z^2 +# z^1 +> + c051*y^5*z + c151*x*y^5*z + c251*x^2*y^5*z + c351*x^3*y^5*z + c451*x^4*y^5*z + c551*x^5*y^5*z +> + c041*y^4*z + c141*x*y^4*z + c241*x^2*y^4*z + c341*x^3*y^4*z + c441*x^4*y^4*z + c541*x^5*y^4*z +> + c031*y^3*z + c131*x*y^3*z + c231*x^2*y^3*z + c331*x^3*y^3*z + c431*x^4*y^3*z + c531*x^5*y^3*z +> + c021*y^2*z + c121*x*y^2*z + c221*x^2*y^2*z + c321*x^3*y^2*z + c421*x^4*y^2*z + c521*x^5*y^2*z +> + c011*y *z + c111*x*y *z + c211*x^2*y *z + c311*x^3*y *z + c411*x^4*y *z + c511*x^5*y *z +> + c001 *z + c101*x *z + c201*x^2 *z + c301*x^3 *z + c401*x^4 *z + c501*x^5 *z +# z^0 +> + c050*y^5 + c150*x*y^5 + c250*x^2*y^5 + c350*x^3*y^5 + c450*x^4*y^5 + c550*x^5*y^5 +> + c040*y^4 + c140*x*y^4 + c240*x^2*y^4 + c340*x^3*y^4 + c440*x^4*y^4 + c540*x^5*y^4 +> + c030*y^3 + c130*x*y^3 + c230*x^2*y^3 + c330*x^3*y^3 + c430*x^4*y^3 + c530*x^5*y^3 +> + c020*y^2 + c120*x*y^2 + c220*x^2*y^2 + c320*x^3*y^2 + c420*x^4*y^2 + c520*x^5*y^2 +> + c010*y + c110*x*y + c210*x^2*y + c310*x^3*y + c410*x^4*y + c510*x^5*y +> + c000 + c100*x + c200*x^2 + c300*x^3 + c400*x^4 + c500*x^5 +> end proc; +fn_3d_order5 := proc(x, y, z) + c043*y^4*z^3 + c204*x^2*z^4 + c104*x*z^4 + c330*x^3*y^3 + c503*x^5*z^3 + + c250*x^2*y^5 + c031*y^3*z + c103*x*z^3 + c052*y^5*z^2 + c051*y^5*z + + c550*x^5*y^5 + c045*y^4*z^5 + c404*x^4*z^4 + c304*x^3*z^4 + + c042*y^4*z^2 + c140*x*y^4 + c022*y^2*z^2 + c205*x^2*z^5 + c150*x*y^5 + + c301*x^3*z + c133*x*y^3*z^3 + c233*x^2*y^3*z^3 + c333*x^3*y^3*z^3 + + c123*x*y^2*z^3 + c223*x^2*y^2*z^3 + c323*x^3*y^2*z^3 + c113*x*y*z^3 + + c213*x^2*y*z^3 + c313*x^3*y*z^3 + c132*x*y^3*z^2 + c232*x^2*y^3*z^2 + + c332*x^3*y^3*z^2 + c122*x*y^2*z^2 + c222*x^2*y^2*z^2 + + c322*x^3*y^2*z^2 + c112*x*y*z^2 + c212*x^2*y*z^2 + c312*x^3*y*z^2 + + c131*x*y^3*z + c231*x^2*y^3*z + c331*x^3*y^3*z + c121*x*y^2*z + + c221*x^2*y^2*z + c321*x^3*y^2*z + c111*x*y*z + c211*x^2*y*z + + c311*x^3*y*z + c155*x*y^5*z^5 + c255*x^2*y^5*z^5 + c355*x^3*y^5*z^5 + + c455*x^4*y^5*z^5 + c555*x^5*y^5*z^5 + c145*x*y^4*z^5 + + c245*x^2*y^4*z^5 + c345*x^3*y^4*z^5 + c445*x^4*y^4*z^5 + + c545*x^5*y^4*z^5 + c135*x*y^3*z^5 + c235*x^2*y^3*z^5 + + c335*x^3*y^3*z^5 + c435*x^4*y^3*z^5 + c535*x^5*y^3*z^5 + + c125*x*y^2*z^5 + c225*x^2*y^2*z^5 + c325*x^3*y^2*z^5 + + c425*x^4*y^2*z^5 + c525*x^5*y^2*z^5 + c115*x*y*z^5 + c215*x^2*y*z^5 + + c315*x^3*y*z^5 + c415*x^4*y*z^5 + c515*x^5*y*z^5 + c154*x*y^5*z^4 + + c254*x^2*y^5*z^4 + c354*x^3*y^5*z^4 + c454*x^4*y^5*z^4 + + c554*x^5*y^5*z^4 + c144*x*y^4*z^4 + c244*x^2*y^4*z^4 + + c344*x^3*y^4*z^4 + c444*x^4*y^4*z^4 + c544*x^5*y^4*z^4 + + c134*x*y^3*z^4 + c234*x^2*y^3*z^4 + c334*x^3*y^3*z^4 + + c434*x^4*y^3*z^4 + c534*x^5*y^3*z^4 + c035*y^3*z^5 + c540*x^5*y^4 + + c033*y^3*z^3 + c023*y^2*z^3 + c013*y*z^3 + c203*x^2*z^3 + + c303*x^3*z^3 + c032*y^3*z^2 + c012*y*z^2 + c102*x*z^2 + c202*x^2*z^2 + + c302*x^3*z^2 + c021*y^2*z + c011*y*z + c101*x*z + c201*x^2*z + + c130*x*y^3 + c230*x^2*y^3 + c120*x*y^2 + c220*x^2*y^2 + c320*x^3*y^2 + + c110*x*y + c210*x^2*y + c310*x^3*y + c003*z^3 + c002*z^2 + c001*z + + c030*y^3 + c020*y^2 + c010*y + c000 + c100*x + c200*x^2 + c300*x^3 + + c005*z^5 + c055*y^5*z^5 + c025*y^2*z^5 + c015*y*z^5 + c105*x*z^5 + + c305*x^3*z^5 + c405*x^4*z^5 + c505*x^5*z^5 + c054*y^5*z^4 + + c044*y^4*z^4 + c034*y^3*z^4 + c024*y^2*z^4 + c014*y*z^4 + + c504*x^5*z^4 + c053*y^5*z^3 + c403*x^4*z^3 + c402*x^4*z^2 + + c502*x^5*z^2 + c041*y^4*z + c124*x*y^2*z^4 + c224*x^2*y^2*z^4 + + c324*x^3*y^2*z^4 + c424*x^4*y^2*z^4 + c524*x^5*y^2*z^4 + + c114*x*y*z^4 + c214*x^2*y*z^4 + c314*x^3*y*z^4 + c414*x^4*y*z^4 + + c514*x^5*y*z^4 + c153*x*y^5*z^3 + c253*x^2*y^5*z^3 + + c353*x^3*y^5*z^3 + c453*x^4*y^5*z^3 + c004*z^4 + c050*y^5 + c040*y^4 + + c400*x^4 + c500*x^5 + c553*x^5*y^5*z^3 + c143*x*y^4*z^3 + + c243*x^2*y^4*z^3 + c343*x^3*y^4*z^3 + c443*x^4*y^4*z^3 + + c543*x^5*y^4*z^3 + c433*x^4*y^3*z^3 + c533*x^5*y^3*z^3 + + c423*x^4*y^2*z^3 + c523*x^5*y^2*z^3 + c413*x^4*y*z^3 + + c513*x^5*y*z^3 + c152*x*y^5*z^2 + c252*x^2*y^5*z^2 + + c352*x^3*y^5*z^2 + c452*x^4*y^5*z^2 + c552*x^5*y^5*z^2 + + c142*x*y^4*z^2 + c242*x^2*y^4*z^2 + c342*x^3*y^4*z^2 + + c442*x^4*y^4*z^2 + c542*x^5*y^4*z^2 + c432*x^4*y^3*z^2 + + c532*x^5*y^3*z^2 + c422*x^4*y^2*z^2 + c522*x^5*y^2*z^2 + + c412*x^4*y*z^2 + c512*x^5*y*z^2 + c151*x*y^5*z + c251*x^2*y^5*z + + c351*x^3*y^5*z + c451*x^4*y^5*z + c551*x^5*y^5*z + c141*x*y^4*z + + c241*x^2*y^4*z + c341*x^3*y^4*z + c441*x^4*y^4*z + c541*x^5*y^4*z + + c431*x^4*y^3*z + c531*x^5*y^3*z + c421*x^4*y^2*z + c521*x^5*y^2*z + + c411*x^4*y*z + c511*x^5*y*z + c401*x^4*z + c501*x^5*z + c350*x^3*y^5 + + c450*x^4*y^5 + c240*x^2*y^4 + c340*x^3*y^4 + c440*x^4*y^4 + + c430*x^4*y^3 + c530*x^5*y^3 + c420*x^4*y^2 + c520*x^5*y^2 + + c410*x^4*y + c510*x^5*y +end proc + +> +################################################################################ +> +# coordinates for 3-D interpolating functions +> coord_list_3d := [x,y,z]; + coord_list_3d := [x, y, z] + +> +################################################################################ +> +# +# coefficients in 3-D interpolating functions +# +> +> coeff_set_3d_order3 := { +> # z^3 +> c033, c133, c233, c333, +> c023, c123, c223, c323, +> c013, c113, c213, c313, +> c003, c103, c203, c303, +> # z^2 +> c032, c132, c232, c332, +> c022, c122, c222, c322, +> c012, c112, c212, c312, +> c002, c102, c202, c302, +> # z^1 +> c031, c131, c231, c331, +> c021, c121, c221, c321, +> c011, c111, c211, c311, +> c001, c101, c201, c301, +> # z^0 +> c030, c130, c230, c330, +> c020, c120, c220, c320, +> c010, c110, c210, c310, +> c000, c100, c200, c300 +> }; +coeff_set_3d_order3 := {c033, c133, c233, c333, c023, c123, c223, c323, c013, + + c113, c213, c313, c003, c103, c203, c303, c032, c132, c232, c332, c022, + + c122, c222, c322, c012, c112, c212, c312, c002, c102, c202, c302, c031, + + c131, c231, c331, c021, c121, c221, c321, c011, c111, c211, c311, c001, + + c101, c201, c301, c030, c130, c230, c330, c020, c120, c220, c320, c010, + + c110, c210, c310, c000, c100, c200, c300} + +> +> coeff_set_3d_order5 := { +> # z^5 +> c055, c155, c255, c355, c455, c555, +> c045, c145, c245, c345, c445, c545, +> c035, c135, c235, c335, c435, c535, +> c025, c125, c225, c325, c425, c525, +> c015, c115, c215, c315, c415, c515, +> c005, c105, c205, c305, c405, c505, +> # z^4 +> c054, c154, c254, c354, c454, c554, +> c044, c144, c244, c344, c444, c544, +> c034, c134, c234, c334, c434, c534, +> c024, c124, c224, c324, c424, c524, +> c014, c114, c214, c314, c414, c514, +> c004, c104, c204, c304, c404, c504, +> # z^3 +> c053, c153, c253, c353, c453, c553, +> c043, c143, c243, c343, c443, c543, +> c033, c133, c233, c333, c433, c533, +> c023, c123, c223, c323, c423, c523, +> c013, c113, c213, c313, c413, c513, +> c003, c103, c203, c303, c403, c503, +> # z^2 +> c052, c152, c252, c352, c452, c552, +> c042, c142, c242, c342, c442, c542, +> c032, c132, c232, c332, c432, c532, +> c022, c122, c222, c322, c422, c522, +> c012, c112, c212, c312, c412, c512, +> c002, c102, c202, c302, c402, c502, +> # z^1 +> c051, c151, c251, c351, c451, c551, +> c041, c141, c241, c341, c441, c541, +> c031, c131, c231, c331, c431, c531, +> c021, c121, c221, c321, c421, c521, +> c011, c111, c211, c311, c411, c511, +> c001, c101, c201, c301, c401, c501, +> # z^0 +> c050, c150, c250, c350, c450, c550, +> c040, c140, c240, c340, c440, c540, +> c030, c130, c230, c330, c430, c530, +> c020, c120, c220, c320, c420, c520, +> c010, c110, c210, c310, c410, c510, +> c000, c100, c200, c300, c400, c500 +> }; +coeff_set_3d_order5 := {c033, c133, c233, c333, c023, c123, c223, c323, c013, + + c113, c213, c313, c003, c103, c203, c303, c032, c132, c232, c332, c022, + + c122, c222, c322, c012, c112, c212, c312, c002, c102, c202, c302, c031, + + c131, c231, c331, c021, c121, c221, c321, c011, c111, c211, c311, c001, + + c101, c201, c301, c030, c130, c230, c330, c020, c120, c220, c320, c010, + + c110, c210, c310, c000, c100, c200, c300, c055, c155, c255, c355, c455, + + c555, c045, c145, c245, c345, c445, c545, c035, c135, c235, c335, c435, + + c535, c025, c125, c225, c325, c425, c525, c015, c115, c215, c315, c415, + + c515, c005, c105, c205, c305, c405, c505, c054, c154, c254, c354, c454, + + c554, c044, c144, c244, c344, c444, c544, c034, c134, c234, c334, c434, + + c534, c024, c124, c224, c324, c424, c524, c014, c114, c214, c314, c414, + + c514, c004, c104, c204, c304, c404, c504, c053, c153, c253, c353, c453, + + c553, c043, c143, c243, c343, c443, c543, c433, c533, c423, c523, c413, + + c513, c403, c503, c052, c152, c252, c352, c452, c552, c042, c142, c242, + + c342, c442, c542, c432, c532, c422, c522, c412, c512, c402, c502, c051, + + c151, c251, c351, c451, c551, c041, c141, c241, c341, c441, c541, c431, + + c531, c421, c521, c411, c511, c401, c501, c050, c150, c250, c350, c450, + + c550, c040, c140, c240, c340, c440, c540, c430, c530, c420, c520, c410, + + c510, c400, c500} + +> +################################################################################ +> +# +# 3-D derivative molecules (arguments = molecule center) +# +> +> deriv_3d_dx_3point := proc(i::integer, j::integer, k::integer) +> dx_3point( +> proc(mi::integer) DATA(i+mi,j,k) end proc +> ) +> end proc; +deriv_3d_dx_3point := proc(i::integer, j::integer, k::integer) + dx_3point(proc(mi::integer) DATA(i + mi, j, k) end proc) +end proc + +> deriv_3d_dy_3point := proc(i::integer, j::integer, k::integer) +> dx_3point( +> proc(mj::integer) DATA(i,j+mj,k) end proc +> ) +> end proc; +deriv_3d_dy_3point := proc(i::integer, j::integer, k::integer) + dx_3point(proc(mj::integer) DATA(i, j + mj, k) end proc) +end proc + +> deriv_3d_dz_3point := proc(i::integer, j::integer, k::integer) +> dx_3point( +> proc(mk::integer) DATA(i,j,k+mk) end proc +> ) +> end proc; +deriv_3d_dz_3point := proc(i::integer, j::integer, k::integer) + dx_3point(proc(mk::integer) DATA(i, j, k + mk) end proc) +end proc + +> deriv_3d_dxy_3point := proc(i::integer, j::integer, k::integer) +> dx_3point( +> proc(mi::integer) +> dx_3point( +> proc(mj::integer) DATA(i+mi,j+mj,k) end proc +> ) +> end proc +> ) +> end proc; +deriv_3d_dxy_3point := proc(i::integer, j::integer, k::integer) + dx_3point(proc(mi::integer) + dx_3point(proc(mj::integer) DATA(i + mi, j + mj, k) end proc) + end proc) +end proc + +> deriv_3d_dxz_3point := proc(i::integer, j::integer, k::integer) +> dx_3point( +> proc(mi::integer) +> dx_3point( +> proc(mk::integer) DATA(i+mi,j,k+mk) end proc +> ) +> end proc +> ) +> end proc; +deriv_3d_dxz_3point := proc(i::integer, j::integer, k::integer) + dx_3point(proc(mi::integer) + dx_3point(proc(mk::integer) DATA(i + mi, j, k + mk) end proc) + end proc) +end proc + +> deriv_3d_dyz_3point := proc(i::integer, j::integer, k::integer) +> dx_3point( +> proc(mj::integer) +> dx_3point( +> proc(mk::integer) DATA(i,j+mj,k+mk) end proc +> ) +> end proc +> ) +> end proc; +deriv_3d_dyz_3point := proc(i::integer, j::integer, k::integer) + dx_3point(proc(mj::integer) + dx_3point(proc(mk::integer) DATA(i, j + mj, k + mk) end proc) + end proc) +end proc + +> deriv_3d_dxyz_3point := proc(i::integer, j::integer, k::integer) +> dx_3point( +> proc(mi::integer) +> dx_3point( +> proc(mj::integer) +> dx_3point( +> proc(mk::integer) +> DATA(i+mi,j+mj,k+mk) +> end proc +> ) +> end proc +> ) +> end proc +> ) +> end proc; +deriv_3d_dxyz_3point := proc(i::integer, j::integer, k::integer) + dx_3point(proc(mi::integer) + dx_3point(proc(mj::integer) + dx_3point( + proc(mk::integer) DATA(i + mi, j + mj, k + mk) end proc) + end proc) + end proc) +end proc + +> +> deriv_3d_dx_5point := proc(i::integer, j::integer, k::integer) +> dx_5point( +> proc(mi::integer) DATA(i+mi,j,k) end proc +> ) +> end proc; +deriv_3d_dx_5point := proc(i::integer, j::integer, k::integer) + dx_5point(proc(mi::integer) DATA(i + mi, j, k) end proc) +end proc + +> deriv_3d_dy_5point := proc(i::integer, j::integer, k::integer) +> dx_5point( +> proc(mj::integer) DATA(i,j+mj,k) end proc +> ) +> end proc; +deriv_3d_dy_5point := proc(i::integer, j::integer, k::integer) + dx_5point(proc(mj::integer) DATA(i, j + mj, k) end proc) +end proc + +> deriv_3d_dz_5point := proc(i::integer, j::integer, k::integer) +> dx_5point( +> proc(mk::integer) DATA(i,j,k+mk) end proc +> ) +> end proc; +deriv_3d_dz_5point := proc(i::integer, j::integer, k::integer) + dx_5point(proc(mk::integer) DATA(i, j, k + mk) end proc) +end proc + +> deriv_3d_dxy_5point := proc(i::integer, j::integer, k::integer) +> dx_5point( +> proc(mi::integer) +> dx_5point( +> proc(mj::integer) DATA(i+mi,j+mj,k) end proc +> ) +> end proc +> ) +> end proc; +deriv_3d_dxy_5point := proc(i::integer, j::integer, k::integer) + dx_5point(proc(mi::integer) + dx_5point(proc(mj::integer) DATA(i + mi, j + mj, k) end proc) + end proc) +end proc + +> deriv_3d_dxz_5point := proc(i::integer, j::integer, k::integer) +> dx_5point( +> proc(mi::integer) +> dx_5point( +> proc(mk::integer) DATA(i+mi,j,k+mk) end proc +> ) +> end proc +> ) +> end proc; +deriv_3d_dxz_5point := proc(i::integer, j::integer, k::integer) + dx_5point(proc(mi::integer) + dx_5point(proc(mk::integer) DATA(i + mi, j, k + mk) end proc) + end proc) +end proc + +> deriv_3d_dyz_5point := proc(i::integer, j::integer, k::integer) +> dx_5point( +> proc(mj::integer) +> dx_5point( +> proc(mk::integer) DATA(i,j+mj,k+mk) end proc +> ) +> end proc +> ) +> end proc; +deriv_3d_dyz_5point := proc(i::integer, j::integer, k::integer) + dx_5point(proc(mj::integer) + dx_5point(proc(mk::integer) DATA(i, j + mj, k + mk) end proc) + end proc) +end proc + +> deriv_3d_dxyz_5point := proc(i::integer, j::integer, k::integer) +> dx_5point( +> proc(mi::integer) +> dx_5point( +> proc(mj::integer) +> dx_5point( +> proc(mk::integer) +> DATA(i+mi,j+mj,k+mk) +> end proc +> ) +> end proc +> ) +> end proc +> ) +> end proc; +deriv_3d_dxyz_5point := proc(i::integer, j::integer, k::integer) + dx_5point(proc(mi::integer) + dx_5point(proc(mj::integer) + dx_5point( + proc(mk::integer) DATA(i + mi, j + mj, k + mk) end proc) + end proc) + end proc) +end proc + +> +################################################################################ +################################################################################ +################################################################################ +# 3d.maple -- compute Hermite interpolation coefficients in 3-D +# $Header:$ +> +################################################################################ +> +# +# 3d, cube, polynomial order=3, derivatives via 3-point order=2 formula +# ==> overall order=2, 4-point molecule +# +> +# interpolating polynomial +> interp_3d_cube_order2 +> := Hermite_polynomial_interpolant(fn_3d_order3, +> coeff_set_3d_order3, +> [x,y,z], +> { +> {x} = deriv_3d_dx_3point, +> {y} = deriv_3d_dy_3point, +> {z} = deriv_3d_dz_3point, +> {x,y} = deriv_3d_dxy_3point, +> {x,z} = deriv_3d_dxz_3point, +> {y,z} = deriv_3d_dyz_3point, +> {x,y,z} = deriv_3d_dxyz_3point +> }, +> {op(posn_list_3d_size2)}, +> {op(posn_list_3d_size2)}); +bytes used=1002480, alloc=917336, time=0.04 +bytes used=2098268, alloc=1507052, time=0.10 +bytes used=3098832, alloc=1572576, time=0.17 +bytes used=4099916, alloc=1638100, time=0.24 +bytes used=5100092, alloc=1703624, time=0.30 +bytes used=6100520, alloc=1834672, time=0.37 +bytes used=7103316, alloc=1965720, time=0.44 +bytes used=8142620, alloc=2096768, time=0.51 +bytes used=9146212, alloc=2227816, time=0.58 +bytes used=10146772, alloc=2358864, time=0.67 +bytes used=11148748, alloc=2424388, time=0.75 +bytes used=12160144, alloc=2555436, time=0.83 +bytes used=13168856, alloc=2620960, time=0.92 +bytes used=14178660, alloc=2752008, time=1.00 +bytes used=15179424, alloc=2817532, time=1.09 +bytes used=16183588, alloc=3014104, time=1.17 +bytes used=17185016, alloc=3079628, time=1.26 +bytes used=18194968, alloc=3210676, time=1.35 +bytes used=19195144, alloc=3210676, time=1.42 +bytes used=20197164, alloc=3276200, time=1.51 +bytes used=21199480, alloc=3407248, time=1.58 +bytes used=22205836, alloc=3472772, time=1.67 +bytes used=23206112, alloc=3603820, time=1.75 +bytes used=24207528, alloc=3669344, time=1.84 +bytes used=25208448, alloc=3800392, time=1.93 +bytes used=26210428, alloc=3931440, time=2.02 +bytes used=27222424, alloc=3996964, time=2.12 +bytes used=28226600, alloc=4193536, time=2.22 +bytes used=29228260, alloc=4259060, time=2.32 +bytes used=30232104, alloc=4455632, time=2.41 +bytes used=31232892, alloc=4455632, time=2.50 +bytes used=32237496, alloc=4586680, time=2.61 +bytes used=33237648, alloc=4717728, time=2.72 +bytes used=34240928, alloc=4914300, time=2.82 +bytes used=35271448, alloc=5045348, time=2.93 +bytes used=36271884, alloc=5176396, time=3.05 +bytes used=37276156, alloc=5241920, time=3.15 +bytes used=38276432, alloc=5438492, time=3.26 +bytes used=39279032, alloc=5569540, time=3.39 +bytes used=40280304, alloc=5635064, time=3.49 +bytes used=41282832, alloc=5766112, time=3.60 +bytes used=42285864, alloc=5897160, time=3.72 +bytes used=43291332, alloc=6028208, time=3.83 +bytes used=44294460, alloc=6093732, time=3.94 +bytes used=45295688, alloc=6224780, time=4.05 +bytes used=46300072, alloc=6290304, time=4.17 +bytes used=47317772, alloc=6421352, time=4.28 +bytes used=48318556, alloc=6486876, time=4.41 +bytes used=49327676, alloc=6617924, time=4.53 +bytes used=50338896, alloc=6814496, time=4.68 +bytes used=51339308, alloc=6814496, time=4.78 +bytes used=52339724, alloc=6814496, time=4.85 +interp_3d_cube_order2 := (1/4 DATA(0, -1, -1) - 1/4 DATA(0, -1, 1) + + + 3/4 DATA(0, 1, -1) - 3/4 DATA(0, 1, 1) - 3/4 DATA(0, 0, -1) + + 3 + + 3/4 DATA(0, 0, 1) - 1/4 DATA(0, 2, -1) + 1/4 DATA(0, 2, 1)) y z + + + DATA(0, 0, 0) + (- 5/4 DATA(2, 0, 0) - 15/4 DATA(0, 0, 0) + + + 3 DATA(0, 0, 1) + 15/4 DATA(1, 0, 0) - 3 DATA(1, 0, 1) + + - 1/4 DATA(2, 0, 2) - 1/2 DATA(-1, 0, -1) - DATA(-1, 0, 1) + + + 1/2 DATA(2, 0, -1) + DATA(2, 0, 1) + 3/2 DATA(0, 0, -1) + + - 3/2 DATA(1, 0, -1) + 5/4 DATA(-1, 0, 0) + 1/4 DATA(-1, 0, 2) + + 3 2 + + 3/4 DATA(1, 0, 2) - 3/4 DATA(0, 0, 2)) x z + (- 1/2 DATA(0, -1, -1) + + + 1/2 DATA(0, -1, 1) - DATA(0, 1, -1) + DATA(0, 1, 1) + 5/4 DATA(0, 0, -1) + + 2 + - 5/4 DATA(0, 0, 1) + 1/4 DATA(0, 2, -1) - 1/4 DATA(0, 2, 1)) y z + ( + + 1/4 DATA(0, -1, -1) - 1/4 DATA(0, -1, 1) - 1/4 DATA(0, 1, -1) + + + 1/4 DATA(0, 1, 1)) y z + (1/4 DATA(-1, 0, -1) - 1/4 DATA(-1, 0, 1) + + - 1/4 DATA(1, 0, -1) + 1/4 DATA(1, 0, 1)) x z + (- 1/2 DATA(-1, 0, -1) + + + 1/2 DATA(-1, 0, 1) - DATA(1, 0, -1) + DATA(1, 0, 1) + 5/4 DATA(0, 0, -1) + + 2 + - 5/4 DATA(0, 0, 1) + 1/4 DATA(2, 0, -1) - 1/4 DATA(2, 0, 1)) x z + ( + + 1/4 DATA(-1, -1, 0) + 3/4 DATA(-1, 1, 0) - 1/4 DATA(1, -1, 0) + + - 3/4 DATA(1, 1, 0) - 3/4 DATA(-1, 0, 0) - 1/4 DATA(-1, 2, 0) + + 3 + + 3/4 DATA(1, 0, 0) + 1/4 DATA(1, 2, 0)) x y + (- 3/4 DATA(2, 0, 0) + + - 15/4 DATA(0, 0, 0) + 15/4 DATA(0, 1, 0) + 3 DATA(1, 0, 0) + + - 3 DATA(1, 1, 0) - DATA(1, -1, 0) + 1/4 DATA(2, -1, 0) + + + 3/4 DATA(2, 1, 0) - 3/2 DATA(-1, 1, 0) - 1/4 DATA(2, 2, 0) + + + DATA(1, 2, 0) + 1/2 DATA(-1, 2, 0) + 3/2 DATA(-1, 0, 0) + + 2 3 + - 5/4 DATA(0, 2, 0) + 5/4 DATA(0, -1, 0) - 1/2 DATA(-1, -1, 0)) x y + ( + + - 1/2 DATA(-1, -1, 0) - DATA(-1, 1, 0) + 1/2 DATA(1, -1, 0) + DATA(1, 1, 0) + + + 5/4 DATA(-1, 0, 0) + 1/4 DATA(-1, 2, 0) - 5/4 DATA(1, 0, 0) + + 2 + - 1/4 DATA(1, 2, 0)) x y + (5/4 DATA(2, 0, 0) + 25/4 DATA(0, 0, 0) + + - 5 DATA(0, 1, 0) - 5 DATA(1, 0, 0) + 4 DATA(1, 1, 0) + 2 DATA(1, -1, 0) + + - 1/2 DATA(2, -1, 0) - DATA(2, 1, 0) + 2 DATA(-1, 1, 0) + + + 1/4 DATA(2, 2, 0) - DATA(1, 2, 0) - 1/2 DATA(-1, 2, 0) + + - 5/2 DATA(-1, 0, 0) + 5/4 DATA(0, 2, 0) - 5/2 DATA(0, -1, 0) + + 2 2 + + DATA(-1, -1, 0)) x y + (- 5/4 DATA(2, 0, 0) - 15/4 DATA(0, 0, 0) + + + 3 DATA(0, 1, 0) + 15/4 DATA(1, 0, 0) - 3 DATA(1, 1, 0) + + - 3/2 DATA(1, -1, 0) + 1/2 DATA(2, -1, 0) + DATA(2, 1, 0) - DATA(-1, 1, 0) + + - 1/4 DATA(2, 2, 0) + 3/4 DATA(1, 2, 0) + 1/4 DATA(-1, 2, 0) + + + 5/4 DATA(-1, 0, 0) - 3/4 DATA(0, 2, 0) + 3/2 DATA(0, -1, 0) + + 3 2 + - 1/2 DATA(-1, -1, 0)) x y + (1/4 DATA(-1, -1, 0) - 1/4 DATA(-1, 1, 0) + + - 1/4 DATA(1, -1, 0) + 1/4 DATA(1, 1, 0)) x y + (5/4 DATA(0, -1, 0) + + - 5/4 DATA(0, 1, 0) - 1/2 DATA(-1, -1, 0) + 1/2 DATA(-1, 1, 0) + + - DATA(1, -1, 0) + DATA(1, 1, 0) + 1/4 DATA(2, -1, 0) - 1/4 DATA(2, 1, 0)) + + 2 + x y + (1/4 DATA(-1, -1, 0) - 1/4 DATA(-1, 1, 0) + 3/4 DATA(1, -1, 0) + + - 3/4 DATA(1, 1, 0) - 3/4 DATA(0, -1, 0) + 3/4 DATA(0, 1, 0) + + 3 + - 1/4 DATA(2, -1, 0) + 1/4 DATA(2, 1, 0)) x y + (- 3/4 DATA(0, 0, -1) + + + 3/4 DATA(0, 0, 1) + 1/4 DATA(-1, 0, -1) - 1/4 DATA(-1, 0, 1) + + + 3/4 DATA(1, 0, -1) - 3/4 DATA(1, 0, 1) - 1/4 DATA(2, 0, -1) + + 3 + + 1/4 DATA(2, 0, 1)) x z + (25/4 DATA(0, 0, 0) - 5 DATA(0, 0, 1) + + - 5 DATA(0, 1, 0) + 4 DATA(0, 1, 1) + DATA(0, -1, -1) + 2 DATA(0, -1, 1) + + - 1/2 DATA(0, 2, -1) - DATA(0, 2, 1) - 5/2 DATA(0, 0, -1) + + + 2 DATA(0, 1, -1) + 5/4 DATA(0, 2, 0) + 1/4 DATA(0, 2, 2) + + + 5/4 DATA(0, 0, 2) - DATA(0, 1, 2) - 5/2 DATA(0, -1, 0) + + 2 2 + - 1/2 DATA(0, -1, 2)) y z + (9/4 DATA(0, 0, 0) - 9/4 DATA(0, 0, 1) + + - 9/4 DATA(0, 1, 0) + 9/4 DATA(0, 1, 1) + 1/4 DATA(0, -1, -1) + + + 3/4 DATA(0, -1, 1) - 1/4 DATA(0, 2, -1) - 3/4 DATA(0, 2, 1) + + - 3/4 DATA(0, 0, -1) + 3/4 DATA(0, 1, -1) + 3/4 DATA(0, 2, 0) + + + 1/4 DATA(0, 2, 2) + 3/4 DATA(0, 0, 2) - 3/4 DATA(0, 1, 2) + + 3 3 + - 3/4 DATA(0, -1, 0) - 1/4 DATA(0, -1, 2)) y z + (- 15/4 DATA(0, 0, 0) + + + 15/4 DATA(0, 0, 1) + 3 DATA(0, 1, 0) - 3 DATA(0, 1, 1) + + - 1/2 DATA(0, -1, -1) - 3/2 DATA(0, -1, 1) + 1/4 DATA(0, 2, -1) + + + 3/4 DATA(0, 2, 1) + 5/4 DATA(0, 0, -1) - DATA(0, 1, -1) + + - 3/4 DATA(0, 2, 0) - 1/4 DATA(0, 2, 2) - 5/4 DATA(0, 0, 2) + + 2 3 + + DATA(0, 1, 2) + 3/2 DATA(0, -1, 0) + 1/2 DATA(0, -1, 2)) y z + ( + + 3/4 DATA(2, 0, 0) + 9/4 DATA(0, 0, 0) - 9/4 DATA(0, 0, 1) + + - 9/4 DATA(1, 0, 0) + 9/4 DATA(1, 0, 1) + 1/4 DATA(2, 0, 2) + + + 1/4 DATA(-1, 0, -1) + 3/4 DATA(-1, 0, 1) - 1/4 DATA(2, 0, -1) + + - 3/4 DATA(2, 0, 1) - 3/4 DATA(0, 0, -1) + 3/4 DATA(1, 0, -1) + + - 3/4 DATA(-1, 0, 0) - 1/4 DATA(-1, 0, 2) - 3/4 DATA(1, 0, 2) + + 3 3 + + 3/4 DATA(0, 0, 2)) x z + + + (DATA(-1, 0, 0) + 2 DATA(1, 0, 0) - 5/2 DATA(0, 0, 0) - 1/2 DATA(2, 0, 0)) + + 2 + x + (- 1/2 DATA(0, 0, -1) - 3/2 DATA(0, 0, 1) + 3/2 DATA(0, 0, 0) + + 3 + + 1/2 DATA(0, 0, 2)) z + (- 3/4 DATA(2, 0, 0) - 15/4 DATA(0, 0, 0) + + + 15/4 DATA(0, 0, 1) + 3 DATA(1, 0, 0) - 3 DATA(1, 0, 1) + + - 1/4 DATA(2, 0, 2) - 1/2 DATA(-1, 0, -1) - 3/2 DATA(-1, 0, 1) + + + 1/4 DATA(2, 0, -1) + 3/4 DATA(2, 0, 1) + 5/4 DATA(0, 0, -1) + + - DATA(1, 0, -1) + 3/2 DATA(-1, 0, 0) + 1/2 DATA(-1, 0, 2) + DATA(1, 0, 2) + + 2 3 + - 5/4 DATA(0, 0, 2)) x z + (- 15/4 DATA(0, 0, 0) + 3 DATA(0, 0, 1) + + + 15/4 DATA(0, 1, 0) - 3 DATA(0, 1, 1) - 1/2 DATA(0, -1, -1) + + - DATA(0, -1, 1) + 1/2 DATA(0, 2, -1) + DATA(0, 2, 1) + 3/2 DATA(0, 0, -1) + + - 3/2 DATA(0, 1, -1) - 5/4 DATA(0, 2, 0) - 1/4 DATA(0, 2, 2) + + - 3/4 DATA(0, 0, 2) + 3/4 DATA(0, 1, 2) + 5/4 DATA(0, -1, 0) + + 3 2 + + 1/4 DATA(0, -1, 2)) y z + (1/4 DATA(0, -1, -1) + 3/4 DATA(0, -1, 1) + + - 1/4 DATA(0, 1, -1) - 3/4 DATA(0, 1, 1) - 3/4 DATA(0, -1, 0) + + 3 + - 1/4 DATA(0, -1, 2) + 3/4 DATA(0, 1, 0) + 1/4 DATA(0, 1, 2)) y z + ( + + 5/4 DATA(2, 0, 0) + 25/4 DATA(0, 0, 0) - 5 DATA(0, 0, 1) - 5 DATA(1, 0, 0) + + + 4 DATA(1, 0, 1) + 1/4 DATA(2, 0, 2) + DATA(-1, 0, -1) + 2 DATA(-1, 0, 1) + + - 1/2 DATA(2, 0, -1) - DATA(2, 0, 1) - 5/2 DATA(0, 0, -1) + + + 2 DATA(1, 0, -1) - 5/2 DATA(-1, 0, 0) - 1/2 DATA(-1, 0, 2) + + 2 2 + - DATA(1, 0, 2) + 5/4 DATA(0, 0, 2)) x z + (- 1/2 DATA(-1, 0, -1) + + - DATA(-1, 0, 1) + 1/2 DATA(1, 0, -1) + DATA(1, 0, 1) + 5/4 DATA(-1, 0, 0) + + 2 + + 1/4 DATA(-1, 0, 2) - 5/4 DATA(1, 0, 0) - 1/4 DATA(1, 0, 2)) x z + ( + + - 1/2 DATA(0, -1, -1) - DATA(0, -1, 1) + 1/2 DATA(0, 1, -1) + DATA(0, 1, 1) + + + 5/4 DATA(0, -1, 0) + 1/4 DATA(0, -1, 2) - 5/4 DATA(0, 1, 0) + + 2 + - 1/4 DATA(0, 1, 2)) y z + (1/4 DATA(-1, 0, -1) + 3/4 DATA(-1, 0, 1) + + - 1/4 DATA(1, 0, -1) - 3/4 DATA(1, 0, 1) - 3/4 DATA(-1, 0, 0) + + 3 + - 1/4 DATA(-1, 0, 2) + 3/4 DATA(1, 0, 0) + 1/4 DATA(1, 0, 2)) x z + ( + + 3/4 DATA(2, 0, 0) + 9/4 DATA(0, 0, 0) - 9/4 DATA(0, 1, 0) + + - 9/4 DATA(1, 0, 0) + 9/4 DATA(1, 1, 0) + 3/4 DATA(1, -1, 0) + + - 1/4 DATA(2, -1, 0) - 3/4 DATA(2, 1, 0) + 3/4 DATA(-1, 1, 0) + + + 1/4 DATA(2, 2, 0) - 3/4 DATA(1, 2, 0) - 1/4 DATA(-1, 2, 0) + + - 3/4 DATA(-1, 0, 0) + 3/4 DATA(0, 2, 0) - 3/4 DATA(0, -1, 0) + + 3 3 + + 1/4 DATA(-1, -1, 0)) x y + (25/8 DATA(2, 0, 0) + 75/8 DATA(0, 0, 0) + + - 6 DATA(1, 1, 1) - 15/2 DATA(0, 0, 1) - 15/2 DATA(0, 1, 0) + + + 6 DATA(0, 1, 1) - 75/8 DATA(1, 0, 0) + 15/2 DATA(1, 0, 1) + + + 15/2 DATA(1, 1, 0) + 5/8 DATA(2, 0, 2) - 2 DATA(-1, 1, 1) + + - 1/2 DATA(-1, -1, -1) - DATA(-1, -1, 1) - DATA(-1, 1, -1) + + - 3/2 DATA(1, -1, -1) - 3 DATA(1, -1, 1) - 3 DATA(1, 1, -1) + + + 5/4 DATA(-1, 0, -1) + 5/2 DATA(-1, 0, 1) + 1/4 DATA(-1, 2, -1) + + + 1/2 DATA(-1, 2, 1) + 15/4 DATA(1, -1, 0) - 5/4 DATA(2, -1, 0) + + - 5/2 DATA(2, 1, 0) + 5/2 DATA(-1, 1, 0) + DATA(2, 1, -1) + + + 2 DATA(2, 1, 1) + 3/2 DATA(0, -1, -1) + 3 DATA(0, -1, 1) + + - 3/4 DATA(0, 2, -1) - 3/2 DATA(0, 2, 1) - 5/4 DATA(2, 0, -1) + + - 5/2 DATA(2, 0, 1) - 15/4 DATA(0, 0, -1) + 3 DATA(0, 1, -1) + + + 15/4 DATA(1, 0, -1) + 3/4 DATA(1, 2, -1) + 3/2 DATA(1, 2, 1) + + + 5/8 DATA(2, 2, 0) - 15/8 DATA(1, 2, 0) - 5/8 DATA(-1, 2, 0) + + - 25/8 DATA(-1, 0, 0) - 5/8 DATA(-1, 0, 2) - 15/8 DATA(1, 0, 2) + + + 15/8 DATA(0, 2, 0) + 3/8 DATA(0, 2, 2) + 15/8 DATA(0, 0, 2) + + - 3/2 DATA(0, 1, 2) - 15/4 DATA(0, -1, 0) - 3/4 DATA(0, -1, 2) + + + 3/2 DATA(1, 1, 2) - 1/4 DATA(2, 2, -1) - 1/2 DATA(2, 2, 1) + + + 1/2 DATA(2, -1, -1) + DATA(2, -1, 1) + 5/4 DATA(-1, -1, 0) + + + 1/4 DATA(-1, -1, 2) - 1/4 DATA(2, -1, 2) - 1/8 DATA(-1, 2, 2) + + + 1/8 DATA(2, 2, 2) + 3/4 DATA(1, -1, 2) - 1/2 DATA(2, 1, 2) + + 3 2 2 + + 1/2 DATA(-1, 1, 2) - 3/8 DATA(1, 2, 2)) x y z + + + (- 1/2 DATA(0, 0, -1) + 1/2 DATA(0, 0, 1)) z + + + (- 1/2 DATA(0, -1, 0) + 1/2 DATA(0, 1, 0)) y + (3/2 DATA(0, 0, 0) + + 3 + - 1/2 DATA(-1, 0, 0) - 3/2 DATA(1, 0, 0) + 1/2 DATA(2, 0, 0)) x + ( + + 3/2 DATA(0, 0, 0) - 3/2 DATA(0, 1, 0) - 1/2 DATA(0, -1, 0) + + 3 + + 1/2 DATA(0, 2, 0)) y + ( + + - 5/2 DATA(0, 0, 0) + 2 DATA(0, 1, 0) + DATA(0, -1, 0) - 1/2 DATA(0, 2, 0)) + + 2 + y + + + (DATA(0, 0, -1) + 2 DATA(0, 0, 1) - 5/2 DATA(0, 0, 0) - 1/2 DATA(0, 0, 2)) + + 2 + z + (- 1/2 DATA(-1, 0, 0) + 1/2 DATA(1, 0, 0)) x + (- 3/2 DATA(1, 1, 1) + + - 15/8 DATA(1, 0, 0) + 3/2 DATA(1, 0, 1) + 15/8 DATA(1, 1, 0) + + + 3/2 DATA(-1, 1, 1) + 1/4 DATA(-1, -1, -1) + 1/2 DATA(-1, -1, 1) + + + 3/4 DATA(-1, 1, -1) - 1/4 DATA(1, -1, -1) - 1/2 DATA(1, -1, 1) + + - 3/4 DATA(1, 1, -1) - 3/4 DATA(-1, 0, -1) - 3/2 DATA(-1, 0, 1) + + - 1/4 DATA(-1, 2, -1) - 1/2 DATA(-1, 2, 1) + 5/8 DATA(1, -1, 0) + + - 15/8 DATA(-1, 1, 0) + 3/4 DATA(1, 0, -1) + 1/4 DATA(1, 2, -1) + + + 1/2 DATA(1, 2, 1) - 5/8 DATA(1, 2, 0) + 5/8 DATA(-1, 2, 0) + + + 15/8 DATA(-1, 0, 0) + 3/8 DATA(-1, 0, 2) - 3/8 DATA(1, 0, 2) + + + 3/8 DATA(1, 1, 2) - 5/8 DATA(-1, -1, 0) - 1/8 DATA(-1, -1, 2) + + + 1/8 DATA(-1, 2, 2) + 1/8 DATA(1, -1, 2) - 3/8 DATA(-1, 1, 2) + + 3 2 + - 1/8 DATA(1, 2, 2)) x y z + (15/8 DATA(2, 0, 0) + 75/8 DATA(0, 0, 0) + + - 6 DATA(1, 1, 1) - 15/2 DATA(0, 0, 1) - 75/8 DATA(0, 1, 0) + + + 15/2 DATA(0, 1, 1) - 15/2 DATA(1, 0, 0) + 6 DATA(1, 0, 1) + + + 15/2 DATA(1, 1, 0) + 3/8 DATA(2, 0, 2) - 3 DATA(-1, 1, 1) + + - 1/2 DATA(-1, -1, -1) - DATA(-1, -1, 1) - 3/2 DATA(-1, 1, -1) + + - DATA(1, -1, -1) - 2 DATA(1, -1, 1) - 3 DATA(1, 1, -1) + + + 3/2 DATA(-1, 0, -1) + 3 DATA(-1, 0, 1) + 1/2 DATA(-1, 2, -1) + + + DATA(-1, 2, 1) + 5/2 DATA(1, -1, 0) - 5/8 DATA(2, -1, 0) + + - 15/8 DATA(2, 1, 0) + 15/4 DATA(-1, 1, 0) + 3/4 DATA(2, 1, -1) + + + 3/2 DATA(2, 1, 1) + 5/4 DATA(0, -1, -1) + 5/2 DATA(0, -1, 1) + + - 5/4 DATA(0, 2, -1) - 5/2 DATA(0, 2, 1) - 3/4 DATA(2, 0, -1) + + - 3/2 DATA(2, 0, 1) - 15/4 DATA(0, 0, -1) + 15/4 DATA(0, 1, -1) + + + 3 DATA(1, 0, -1) + DATA(1, 2, -1) + 2 DATA(1, 2, 1) + 5/8 DATA(2, 2, 0) + + - 5/2 DATA(1, 2, 0) - 5/4 DATA(-1, 2, 0) - 15/4 DATA(-1, 0, 0) + + - 3/4 DATA(-1, 0, 2) - 3/2 DATA(1, 0, 2) + 25/8 DATA(0, 2, 0) + + + 5/8 DATA(0, 2, 2) + 15/8 DATA(0, 0, 2) - 15/8 DATA(0, 1, 2) + + - 25/8 DATA(0, -1, 0) - 5/8 DATA(0, -1, 2) + 3/2 DATA(1, 1, 2) + + - 1/4 DATA(2, 2, -1) - 1/2 DATA(2, 2, 1) + 1/4 DATA(2, -1, -1) + + + 1/2 DATA(2, -1, 1) + 5/4 DATA(-1, -1, 0) + 1/4 DATA(-1, -1, 2) + + - 1/8 DATA(2, -1, 2) - 1/4 DATA(-1, 2, 2) + 1/8 DATA(2, 2, 2) + + + 1/2 DATA(1, -1, 2) - 3/8 DATA(2, 1, 2) + 3/4 DATA(-1, 1, 2) + + 2 3 2 + - 1/2 DATA(1, 2, 2)) x y z + (- 15/8 DATA(2, 0, 0) - 45/8 DATA(0, 0, 0) + + + 9/2 DATA(1, 1, 1) + 9/2 DATA(0, 0, 1) + 45/8 DATA(0, 1, 0) + + - 9/2 DATA(0, 1, 1) + 45/8 DATA(1, 0, 0) - 9/2 DATA(1, 0, 1) + + - 45/8 DATA(1, 1, 0) - 3/8 DATA(2, 0, 2) + 3/2 DATA(-1, 1, 1) + + + 1/4 DATA(-1, -1, -1) + 1/2 DATA(-1, -1, 1) + 3/4 DATA(-1, 1, -1) + + + 3/4 DATA(1, -1, -1) + 3/2 DATA(1, -1, 1) + 9/4 DATA(1, 1, -1) + + - 3/4 DATA(-1, 0, -1) - 3/2 DATA(-1, 0, 1) - 1/4 DATA(-1, 2, -1) + + - 1/2 DATA(-1, 2, 1) - 15/8 DATA(1, -1, 0) + 5/8 DATA(2, -1, 0) + + + 15/8 DATA(2, 1, 0) - 15/8 DATA(-1, 1, 0) - 3/4 DATA(2, 1, -1) + + - 3/2 DATA(2, 1, 1) - 3/4 DATA(0, -1, -1) - 3/2 DATA(0, -1, 1) + + + 3/4 DATA(0, 2, -1) + 3/2 DATA(0, 2, 1) + 3/4 DATA(2, 0, -1) + + + 3/2 DATA(2, 0, 1) + 9/4 DATA(0, 0, -1) - 9/4 DATA(0, 1, -1) + + - 9/4 DATA(1, 0, -1) - 3/4 DATA(1, 2, -1) - 3/2 DATA(1, 2, 1) + + - 5/8 DATA(2, 2, 0) + 15/8 DATA(1, 2, 0) + 5/8 DATA(-1, 2, 0) + + + 15/8 DATA(-1, 0, 0) + 3/8 DATA(-1, 0, 2) + 9/8 DATA(1, 0, 2) + + - 15/8 DATA(0, 2, 0) - 3/8 DATA(0, 2, 2) - 9/8 DATA(0, 0, 2) + + + 9/8 DATA(0, 1, 2) + 15/8 DATA(0, -1, 0) + 3/8 DATA(0, -1, 2) + + - 9/8 DATA(1, 1, 2) + 1/4 DATA(2, 2, -1) + 1/2 DATA(2, 2, 1) + + - 1/4 DATA(2, -1, -1) - 1/2 DATA(2, -1, 1) - 5/8 DATA(-1, -1, 0) + + - 1/8 DATA(-1, -1, 2) + 1/8 DATA(2, -1, 2) + 1/8 DATA(-1, 2, 2) + + - 1/8 DATA(2, 2, 2) - 3/8 DATA(1, -1, 2) + 3/8 DATA(2, 1, 2) + + 3 3 2 + - 3/8 DATA(-1, 1, 2) + 3/8 DATA(1, 2, 2)) x y z + (2 DATA(1, 1, 1) + + + 25/8 DATA(1, 0, 0) - 5/2 DATA(1, 0, 1) - 5/2 DATA(1, 1, 0) + + - 2 DATA(-1, 1, 1) - 1/2 DATA(-1, -1, -1) - DATA(-1, -1, 1) + + - DATA(-1, 1, -1) + 1/2 DATA(1, -1, -1) + DATA(1, -1, 1) + DATA(1, 1, -1) + + + 5/4 DATA(-1, 0, -1) + 5/2 DATA(-1, 0, 1) + 1/4 DATA(-1, 2, -1) + + + 1/2 DATA(-1, 2, 1) - 5/4 DATA(1, -1, 0) + 5/2 DATA(-1, 1, 0) + + - 5/4 DATA(1, 0, -1) - 1/4 DATA(1, 2, -1) - 1/2 DATA(1, 2, 1) + + + 5/8 DATA(1, 2, 0) - 5/8 DATA(-1, 2, 0) - 25/8 DATA(-1, 0, 0) + + - 5/8 DATA(-1, 0, 2) + 5/8 DATA(1, 0, 2) - 1/2 DATA(1, 1, 2) + + + 5/4 DATA(-1, -1, 0) + 1/4 DATA(-1, -1, 2) - 1/8 DATA(-1, 2, 2) + + 2 2 + - 1/4 DATA(1, -1, 2) + 1/2 DATA(-1, 1, 2) + 1/8 DATA(1, 2, 2)) x y z + ( + + - 25/8 DATA(2, 0, 0) - 125/8 DATA(0, 0, 0) + 8 DATA(1, 1, 1) + + + 25/2 DATA(0, 0, 1) + 25/2 DATA(0, 1, 0) - 10 DATA(0, 1, 1) + + + 25/2 DATA(1, 0, 0) - 10 DATA(1, 0, 1) - 10 DATA(1, 1, 0) + + - 5/8 DATA(2, 0, 2) + 4 DATA(-1, 1, 1) + DATA(-1, -1, -1) + + + 2 DATA(-1, -1, 1) + 2 DATA(-1, 1, -1) + 2 DATA(1, -1, -1) + + + 4 DATA(1, -1, 1) + 4 DATA(1, 1, -1) - 5/2 DATA(-1, 0, -1) + + - 5 DATA(-1, 0, 1) - 1/2 DATA(-1, 2, -1) - DATA(-1, 2, 1) + + - 5 DATA(1, -1, 0) + 5/4 DATA(2, -1, 0) + 5/2 DATA(2, 1, 0) + + - 5 DATA(-1, 1, 0) - DATA(2, 1, -1) - 2 DATA(2, 1, 1) + + - 5/2 DATA(0, -1, -1) - 5 DATA(0, -1, 1) + 5/4 DATA(0, 2, -1) + + + 5/2 DATA(0, 2, 1) + 5/4 DATA(2, 0, -1) + 5/2 DATA(2, 0, 1) + + + 25/4 DATA(0, 0, -1) - 5 DATA(0, 1, -1) - 5 DATA(1, 0, -1) + + - DATA(1, 2, -1) - 2 DATA(1, 2, 1) - 5/8 DATA(2, 2, 0) + 5/2 DATA(1, 2, 0) + + + 5/4 DATA(-1, 2, 0) + 25/4 DATA(-1, 0, 0) + 5/4 DATA(-1, 0, 2) + + + 5/2 DATA(1, 0, 2) - 25/8 DATA(0, 2, 0) - 5/8 DATA(0, 2, 2) + + - 25/8 DATA(0, 0, 2) + 5/2 DATA(0, 1, 2) + 25/4 DATA(0, -1, 0) + + + 5/4 DATA(0, -1, 2) - 2 DATA(1, 1, 2) + 1/4 DATA(2, 2, -1) + + + 1/2 DATA(2, 2, 1) - 1/2 DATA(2, -1, -1) - DATA(2, -1, 1) + + - 5/2 DATA(-1, -1, 0) - 1/2 DATA(-1, -1, 2) + 1/4 DATA(2, -1, 2) + + + 1/4 DATA(-1, 2, 2) - 1/8 DATA(2, 2, 2) - DATA(1, -1, 2) + + 2 2 2 + + 1/2 DATA(2, 1, 2) - DATA(-1, 1, 2) + 1/2 DATA(1, 2, 2)) x y z + ( + + 9/8 DATA(1, 1, 1) + 9/8 DATA(1, 0, 0) - 9/8 DATA(1, 0, 1) + + - 9/8 DATA(1, 1, 0) - 9/8 DATA(-1, 1, 1) - 1/8 DATA(-1, -1, -1) + + - 3/8 DATA(-1, -1, 1) - 3/8 DATA(-1, 1, -1) + 1/8 DATA(1, -1, -1) + + + 3/8 DATA(1, -1, 1) + 3/8 DATA(1, 1, -1) + 3/8 DATA(-1, 0, -1) + + + 9/8 DATA(-1, 0, 1) + 1/8 DATA(-1, 2, -1) + 3/8 DATA(-1, 2, 1) + + - 3/8 DATA(1, -1, 0) + 9/8 DATA(-1, 1, 0) - 3/8 DATA(1, 0, -1) + + - 1/8 DATA(1, 2, -1) - 3/8 DATA(1, 2, 1) + 3/8 DATA(1, 2, 0) + + - 3/8 DATA(-1, 2, 0) - 9/8 DATA(-1, 0, 0) - 3/8 DATA(-1, 0, 2) + + + 3/8 DATA(1, 0, 2) - 3/8 DATA(1, 1, 2) + 3/8 DATA(-1, -1, 0) + + + 1/8 DATA(-1, -1, 2) - 1/8 DATA(-1, 2, 2) - 1/8 DATA(1, -1, 2) + + 3 3 + + 3/8 DATA(-1, 1, 2) + 1/8 DATA(1, 2, 2)) x y z + (1/4 DATA(-1, -1, -1) + + + 1/2 DATA(-1, -1, 1) - 1/4 DATA(-1, 1, -1) - 1/2 DATA(-1, 1, 1) + + - 1/4 DATA(1, -1, -1) - 1/2 DATA(1, -1, 1) + 1/4 DATA(1, 1, -1) + + + 1/2 DATA(1, 1, 1) - 5/8 DATA(-1, -1, 0) - 1/8 DATA(-1, -1, 2) + + + 5/8 DATA(-1, 1, 0) + 1/8 DATA(-1, 1, 2) + 5/8 DATA(1, -1, 0) + + 2 + + 1/8 DATA(1, -1, 2) - 5/8 DATA(1, 1, 0) - 1/8 DATA(1, 1, 2)) x y z + ( + + 2 DATA(1, 1, 1) + 25/8 DATA(0, 1, 0) - 5/2 DATA(0, 1, 1) + + - 5/2 DATA(1, 1, 0) + DATA(-1, 1, 1) - 1/2 DATA(-1, -1, -1) + + - DATA(-1, -1, 1) + 1/2 DATA(-1, 1, -1) - DATA(1, -1, -1) + + - 2 DATA(1, -1, 1) + DATA(1, 1, -1) + 5/2 DATA(1, -1, 0) + + - 5/8 DATA(2, -1, 0) + 5/8 DATA(2, 1, 0) - 5/4 DATA(-1, 1, 0) + + - 1/4 DATA(2, 1, -1) - 1/2 DATA(2, 1, 1) + 5/4 DATA(0, -1, -1) + + + 5/2 DATA(0, -1, 1) - 5/4 DATA(0, 1, -1) + 5/8 DATA(0, 1, 2) + + - 25/8 DATA(0, -1, 0) - 5/8 DATA(0, -1, 2) - 1/2 DATA(1, 1, 2) + + + 1/4 DATA(2, -1, -1) + 1/2 DATA(2, -1, 1) + 5/4 DATA(-1, -1, 0) + + + 1/4 DATA(-1, -1, 2) - 1/8 DATA(2, -1, 2) + 1/2 DATA(1, -1, 2) + + 2 2 + + 1/8 DATA(2, 1, 2) - 1/4 DATA(-1, 1, 2)) x y z + (- 3/2 DATA(1, 1, 1) + + - 15/8 DATA(0, 1, 0) + 3/2 DATA(0, 1, 1) + 15/8 DATA(1, 1, 0) + + - 1/2 DATA(-1, 1, 1) + 1/4 DATA(-1, -1, -1) + 1/2 DATA(-1, -1, 1) + + - 1/4 DATA(-1, 1, -1) + 3/4 DATA(1, -1, -1) + 3/2 DATA(1, -1, 1) + + - 3/4 DATA(1, 1, -1) - 15/8 DATA(1, -1, 0) + 5/8 DATA(2, -1, 0) + + - 5/8 DATA(2, 1, 0) + 5/8 DATA(-1, 1, 0) + 1/4 DATA(2, 1, -1) + + + 1/2 DATA(2, 1, 1) - 3/4 DATA(0, -1, -1) - 3/2 DATA(0, -1, 1) + + + 3/4 DATA(0, 1, -1) - 3/8 DATA(0, 1, 2) + 15/8 DATA(0, -1, 0) + + + 3/8 DATA(0, -1, 2) + 3/8 DATA(1, 1, 2) - 1/4 DATA(2, -1, -1) + + - 1/2 DATA(2, -1, 1) - 5/8 DATA(-1, -1, 0) - 1/8 DATA(-1, -1, 2) + + + 1/8 DATA(2, -1, 2) - 3/8 DATA(1, -1, 2) - 1/8 DATA(2, 1, 2) + + 3 2 + + 1/8 DATA(-1, 1, 2)) x y z + (- 1/8 DATA(-1, -1, -1) + + + 1/8 DATA(-1, -1, 1) - 3/8 DATA(-1, 1, -1) + 3/8 DATA(-1, 1, 1) + + + 1/8 DATA(1, -1, -1) - 1/8 DATA(1, -1, 1) + 3/8 DATA(1, 1, -1) + + - 3/8 DATA(1, 1, 1) + 3/8 DATA(-1, 0, -1) - 3/8 DATA(-1, 0, 1) + + + 1/8 DATA(-1, 2, -1) - 1/8 DATA(-1, 2, 1) - 3/8 DATA(1, 0, -1) + + 3 + + 3/8 DATA(1, 0, 1) - 1/8 DATA(1, 2, -1) + 1/8 DATA(1, 2, 1)) x y z + ( + + - 3/2 DATA(1, 1, 1) - 15/8 DATA(0, 0, 1) + 15/8 DATA(0, 1, 1) + + + 3/2 DATA(1, 0, 1) - 3/4 DATA(-1, 1, 1) + 1/4 DATA(-1, -1, -1) + + - 1/4 DATA(-1, -1, 1) + 3/4 DATA(-1, 1, -1) + 1/2 DATA(1, -1, -1) + + - 1/2 DATA(1, -1, 1) + 3/2 DATA(1, 1, -1) - 3/4 DATA(-1, 0, -1) + + + 3/4 DATA(-1, 0, 1) - 1/4 DATA(-1, 2, -1) + 1/4 DATA(-1, 2, 1) + + - 3/8 DATA(2, 1, -1) + 3/8 DATA(2, 1, 1) - 5/8 DATA(0, -1, -1) + + + 5/8 DATA(0, -1, 1) + 5/8 DATA(0, 2, -1) - 5/8 DATA(0, 2, 1) + + + 3/8 DATA(2, 0, -1) - 3/8 DATA(2, 0, 1) + 15/8 DATA(0, 0, -1) + + - 15/8 DATA(0, 1, -1) - 3/2 DATA(1, 0, -1) - 1/2 DATA(1, 2, -1) + + + 1/2 DATA(1, 2, 1) + 1/8 DATA(2, 2, -1) - 1/8 DATA(2, 2, 1) + + 2 3 + - 1/8 DATA(2, -1, -1) + 1/8 DATA(2, -1, 1)) x y z + (9/8 DATA(1, 1, 1) + + + 9/8 DATA(0, 0, 1) - 9/8 DATA(0, 1, 1) - 9/8 DATA(1, 0, 1) + + + 3/8 DATA(-1, 1, 1) - 1/8 DATA(-1, -1, -1) + 1/8 DATA(-1, -1, 1) + + - 3/8 DATA(-1, 1, -1) - 3/8 DATA(1, -1, -1) + 3/8 DATA(1, -1, 1) + + - 9/8 DATA(1, 1, -1) + 3/8 DATA(-1, 0, -1) - 3/8 DATA(-1, 0, 1) + + + 1/8 DATA(-1, 2, -1) - 1/8 DATA(-1, 2, 1) + 3/8 DATA(2, 1, -1) + + - 3/8 DATA(2, 1, 1) + 3/8 DATA(0, -1, -1) - 3/8 DATA(0, -1, 1) + + - 3/8 DATA(0, 2, -1) + 3/8 DATA(0, 2, 1) - 3/8 DATA(2, 0, -1) + + + 3/8 DATA(2, 0, 1) - 9/8 DATA(0, 0, -1) + 9/8 DATA(0, 1, -1) + + + 9/8 DATA(1, 0, -1) + 3/8 DATA(1, 2, -1) - 3/8 DATA(1, 2, 1) + + - 1/8 DATA(2, 2, -1) + 1/8 DATA(2, 2, 1) + 1/8 DATA(2, -1, -1) + + 3 3 + - 1/8 DATA(2, -1, 1)) x y z + (1/4 DATA(-1, -1, -1) + + - 1/4 DATA(-1, -1, 1) + 1/2 DATA(-1, 1, -1) - 1/2 DATA(-1, 1, 1) + + - 1/4 DATA(1, -1, -1) + 1/4 DATA(1, -1, 1) - 1/2 DATA(1, 1, -1) + + + 1/2 DATA(1, 1, 1) - 5/8 DATA(-1, 0, -1) + 5/8 DATA(-1, 0, 1) + + - 1/8 DATA(-1, 2, -1) + 1/8 DATA(-1, 2, 1) + 5/8 DATA(1, 0, -1) + + 2 + - 5/8 DATA(1, 0, 1) + 1/8 DATA(1, 2, -1) - 1/8 DATA(1, 2, 1)) x y z + ( + + 2 DATA(1, 1, 1) + 25/8 DATA(0, 0, 1) - 5/2 DATA(0, 1, 1) + + - 5/2 DATA(1, 0, 1) + DATA(-1, 1, 1) - 1/2 DATA(-1, -1, -1) + + + 1/2 DATA(-1, -1, 1) - DATA(-1, 1, -1) - DATA(1, -1, -1) + DATA(1, -1, 1) + + - 2 DATA(1, 1, -1) + 5/4 DATA(-1, 0, -1) - 5/4 DATA(-1, 0, 1) + + + 1/4 DATA(-1, 2, -1) - 1/4 DATA(-1, 2, 1) + 1/2 DATA(2, 1, -1) + + - 1/2 DATA(2, 1, 1) + 5/4 DATA(0, -1, -1) - 5/4 DATA(0, -1, 1) + + - 5/8 DATA(0, 2, -1) + 5/8 DATA(0, 2, 1) - 5/8 DATA(2, 0, -1) + + + 5/8 DATA(2, 0, 1) - 25/8 DATA(0, 0, -1) + 5/2 DATA(0, 1, -1) + + + 5/2 DATA(1, 0, -1) + 1/2 DATA(1, 2, -1) - 1/2 DATA(1, 2, 1) + + - 1/8 DATA(2, 2, -1) + 1/8 DATA(2, 2, 1) + 1/4 DATA(2, -1, -1) + + 2 2 + - 1/4 DATA(2, -1, 1)) x y z + (- 3/2 DATA(1, 1, 1) - 15/8 DATA(0, 0, 1) + + + 3/2 DATA(0, 1, 1) + 15/8 DATA(1, 0, 1) - 1/2 DATA(-1, 1, 1) + + + 1/4 DATA(-1, -1, -1) - 1/4 DATA(-1, -1, 1) + 1/2 DATA(-1, 1, -1) + + + 3/4 DATA(1, -1, -1) - 3/4 DATA(1, -1, 1) + 3/2 DATA(1, 1, -1) + + - 5/8 DATA(-1, 0, -1) + 5/8 DATA(-1, 0, 1) - 1/8 DATA(-1, 2, -1) + + + 1/8 DATA(-1, 2, 1) - 1/2 DATA(2, 1, -1) + 1/2 DATA(2, 1, 1) + + - 3/4 DATA(0, -1, -1) + 3/4 DATA(0, -1, 1) + 3/8 DATA(0, 2, -1) + + - 3/8 DATA(0, 2, 1) + 5/8 DATA(2, 0, -1) - 5/8 DATA(2, 0, 1) + + + 15/8 DATA(0, 0, -1) - 3/2 DATA(0, 1, -1) - 15/8 DATA(1, 0, -1) + + - 3/8 DATA(1, 2, -1) + 3/8 DATA(1, 2, 1) + 1/8 DATA(2, 2, -1) + + 3 2 + - 1/8 DATA(2, 2, 1) - 1/4 DATA(2, -1, -1) + 1/4 DATA(2, -1, 1)) x y z + + + (- 1/8 DATA(-1, -1, -1) + 1/8 DATA(-1, -1, 1) + 1/8 DATA(-1, 1, -1) + + - 1/8 DATA(-1, 1, 1) + 1/8 DATA(1, -1, -1) - 1/8 DATA(1, -1, 1) + + - 1/8 DATA(1, 1, -1) + 1/8 DATA(1, 1, 1)) x y z + (1/4 DATA(-1, -1, -1) + + - 1/4 DATA(-1, -1, 1) - 1/4 DATA(-1, 1, -1) + 1/4 DATA(-1, 1, 1) + + + 1/2 DATA(1, -1, -1) - 1/2 DATA(1, -1, 1) - 1/2 DATA(1, 1, -1) + + + 1/2 DATA(1, 1, 1) - 5/8 DATA(0, -1, -1) + 5/8 DATA(0, -1, 1) + + + 5/8 DATA(0, 1, -1) - 5/8 DATA(0, 1, 1) - 1/8 DATA(2, -1, -1) + + 2 + + 1/8 DATA(2, -1, 1) + 1/8 DATA(2, 1, -1) - 1/8 DATA(2, 1, 1)) x y z + ( + + 3/8 DATA(0, -1, -1) - 3/8 DATA(0, -1, 1) - 3/8 DATA(0, 1, -1) + + + 3/8 DATA(0, 1, 1) - 1/8 DATA(-1, -1, -1) + 1/8 DATA(-1, -1, 1) + + + 1/8 DATA(-1, 1, -1) - 1/8 DATA(-1, 1, 1) - 3/8 DATA(1, -1, -1) + + + 3/8 DATA(1, -1, 1) + 3/8 DATA(1, 1, -1) - 3/8 DATA(1, 1, 1) + + + 1/8 DATA(2, -1, -1) - 1/8 DATA(2, -1, 1) - 1/8 DATA(2, 1, -1) + + 3 + + 1/8 DATA(2, 1, 1)) x y z + (- 9/8 DATA(2, 0, 0) - 45/8 DATA(0, 0, 0) + + + 9/2 DATA(1, 1, 1) + 45/8 DATA(0, 0, 1) + 45/8 DATA(0, 1, 0) + + - 45/8 DATA(0, 1, 1) + 9/2 DATA(1, 0, 0) - 9/2 DATA(1, 0, 1) + + - 9/2 DATA(1, 1, 0) - 3/8 DATA(2, 0, 2) + 9/4 DATA(-1, 1, 1) + + + 1/4 DATA(-1, -1, -1) + 3/4 DATA(-1, -1, 1) + 3/4 DATA(-1, 1, -1) + + + 1/2 DATA(1, -1, -1) + 3/2 DATA(1, -1, 1) + 3/2 DATA(1, 1, -1) + + - 3/4 DATA(-1, 0, -1) - 9/4 DATA(-1, 0, 1) - 1/4 DATA(-1, 2, -1) + + - 3/4 DATA(-1, 2, 1) - 3/2 DATA(1, -1, 0) + 3/8 DATA(2, -1, 0) + + + 9/8 DATA(2, 1, 0) - 9/4 DATA(-1, 1, 0) - 3/8 DATA(2, 1, -1) + + - 9/8 DATA(2, 1, 1) - 5/8 DATA(0, -1, -1) - 15/8 DATA(0, -1, 1) + + + 5/8 DATA(0, 2, -1) + 15/8 DATA(0, 2, 1) + 3/8 DATA(2, 0, -1) + + + 9/8 DATA(2, 0, 1) + 15/8 DATA(0, 0, -1) - 15/8 DATA(0, 1, -1) + + - 3/2 DATA(1, 0, -1) - 1/2 DATA(1, 2, -1) - 3/2 DATA(1, 2, 1) + + - 3/8 DATA(2, 2, 0) + 3/2 DATA(1, 2, 0) + 3/4 DATA(-1, 2, 0) + + + 9/4 DATA(-1, 0, 0) + 3/4 DATA(-1, 0, 2) + 3/2 DATA(1, 0, 2) + + - 15/8 DATA(0, 2, 0) - 5/8 DATA(0, 2, 2) - 15/8 DATA(0, 0, 2) + + + 15/8 DATA(0, 1, 2) + 15/8 DATA(0, -1, 0) + 5/8 DATA(0, -1, 2) + + - 3/2 DATA(1, 1, 2) + 1/8 DATA(2, 2, -1) + 3/8 DATA(2, 2, 1) + + - 1/8 DATA(2, -1, -1) - 3/8 DATA(2, -1, 1) - 3/4 DATA(-1, -1, 0) + + - 1/4 DATA(-1, -1, 2) + 1/8 DATA(2, -1, 2) + 1/4 DATA(-1, 2, 2) + + - 1/8 DATA(2, 2, 2) - 1/2 DATA(1, -1, 2) + 3/8 DATA(2, 1, 2) + + 2 3 3 + - 3/4 DATA(-1, 1, 2) + 1/2 DATA(1, 2, 2)) x y z + (9/8 DATA(2, 0, 0) + + + 27/8 DATA(0, 0, 0) - 27/8 DATA(1, 1, 1) - 27/8 DATA(0, 0, 1) + + - 27/8 DATA(0, 1, 0) + 27/8 DATA(0, 1, 1) - 27/8 DATA(1, 0, 0) + + + 27/8 DATA(1, 0, 1) + 27/8 DATA(1, 1, 0) + 3/8 DATA(2, 0, 2) + + - 9/8 DATA(-1, 1, 1) - 1/8 DATA(-1, -1, -1) - 3/8 DATA(-1, -1, 1) + + - 3/8 DATA(-1, 1, -1) - 3/8 DATA(1, -1, -1) - 9/8 DATA(1, -1, 1) + + - 9/8 DATA(1, 1, -1) + 3/8 DATA(-1, 0, -1) + 9/8 DATA(-1, 0, 1) + + + 1/8 DATA(-1, 2, -1) + 3/8 DATA(-1, 2, 1) + 9/8 DATA(1, -1, 0) + + - 3/8 DATA(2, -1, 0) - 9/8 DATA(2, 1, 0) + 9/8 DATA(-1, 1, 0) + + + 3/8 DATA(2, 1, -1) + 9/8 DATA(2, 1, 1) + 3/8 DATA(0, -1, -1) + + + 9/8 DATA(0, -1, 1) - 3/8 DATA(0, 2, -1) - 9/8 DATA(0, 2, 1) + + - 3/8 DATA(2, 0, -1) - 9/8 DATA(2, 0, 1) - 9/8 DATA(0, 0, -1) + + + 9/8 DATA(0, 1, -1) + 9/8 DATA(1, 0, -1) + 3/8 DATA(1, 2, -1) + + + 9/8 DATA(1, 2, 1) + 3/8 DATA(2, 2, 0) - 9/8 DATA(1, 2, 0) + + - 3/8 DATA(-1, 2, 0) - 9/8 DATA(-1, 0, 0) - 3/8 DATA(-1, 0, 2) + + - 9/8 DATA(1, 0, 2) + 9/8 DATA(0, 2, 0) + 3/8 DATA(0, 2, 2) + + + 9/8 DATA(0, 0, 2) - 9/8 DATA(0, 1, 2) - 9/8 DATA(0, -1, 0) + + - 3/8 DATA(0, -1, 2) + 9/8 DATA(1, 1, 2) - 1/8 DATA(2, 2, -1) + + - 3/8 DATA(2, 2, 1) + 1/8 DATA(2, -1, -1) + 3/8 DATA(2, -1, 1) + + + 3/8 DATA(-1, -1, 0) + 1/8 DATA(-1, -1, 2) - 1/8 DATA(2, -1, 2) + + - 1/8 DATA(-1, 2, 2) + 1/8 DATA(2, 2, 2) + 3/8 DATA(1, -1, 2) + + 3 3 3 + - 3/8 DATA(2, 1, 2) + 3/8 DATA(-1, 1, 2) - 3/8 DATA(1, 2, 2)) x y z + ( + + - 3/2 DATA(1, 1, 1) - 15/8 DATA(1, 0, 0) + 15/8 DATA(1, 0, 1) + + + 3/2 DATA(1, 1, 0) + 3/2 DATA(-1, 1, 1) + 1/4 DATA(-1, -1, -1) + + + 3/4 DATA(-1, -1, 1) + 1/2 DATA(-1, 1, -1) - 1/4 DATA(1, -1, -1) + + - 3/4 DATA(1, -1, 1) - 1/2 DATA(1, 1, -1) - 5/8 DATA(-1, 0, -1) + + - 15/8 DATA(-1, 0, 1) - 1/8 DATA(-1, 2, -1) - 3/8 DATA(-1, 2, 1) + + + 3/4 DATA(1, -1, 0) - 3/2 DATA(-1, 1, 0) + 5/8 DATA(1, 0, -1) + + + 1/8 DATA(1, 2, -1) + 3/8 DATA(1, 2, 1) - 3/8 DATA(1, 2, 0) + + + 3/8 DATA(-1, 2, 0) + 15/8 DATA(-1, 0, 0) + 5/8 DATA(-1, 0, 2) + + - 5/8 DATA(1, 0, 2) + 1/2 DATA(1, 1, 2) - 3/4 DATA(-1, -1, 0) + + - 1/4 DATA(-1, -1, 2) + 1/8 DATA(-1, 2, 2) + 1/4 DATA(1, -1, 2) + + 2 3 + - 1/2 DATA(-1, 1, 2) - 1/8 DATA(1, 2, 2)) x y z + (15/8 DATA(2, 0, 0) + + + 75/8 DATA(0, 0, 0) - 6 DATA(1, 1, 1) - 75/8 DATA(0, 0, 1) + + - 15/2 DATA(0, 1, 0) + 15/2 DATA(0, 1, 1) - 15/2 DATA(1, 0, 0) + + + 15/2 DATA(1, 0, 1) + 6 DATA(1, 1, 0) + 5/8 DATA(2, 0, 2) + + - 3 DATA(-1, 1, 1) - 1/2 DATA(-1, -1, -1) - 3/2 DATA(-1, -1, 1) + + - DATA(-1, 1, -1) - DATA(1, -1, -1) - 3 DATA(1, -1, 1) - 2 DATA(1, 1, -1) + + + 5/4 DATA(-1, 0, -1) + 15/4 DATA(-1, 0, 1) + 1/4 DATA(-1, 2, -1) + + + 3/4 DATA(-1, 2, 1) + 3 DATA(1, -1, 0) - 3/4 DATA(2, -1, 0) + + - 3/2 DATA(2, 1, 0) + 3 DATA(-1, 1, 0) + 1/2 DATA(2, 1, -1) + + + 3/2 DATA(2, 1, 1) + 5/4 DATA(0, -1, -1) + 15/4 DATA(0, -1, 1) + + - 5/8 DATA(0, 2, -1) - 15/8 DATA(0, 2, 1) - 5/8 DATA(2, 0, -1) + + - 15/8 DATA(2, 0, 1) - 25/8 DATA(0, 0, -1) + 5/2 DATA(0, 1, -1) + + + 5/2 DATA(1, 0, -1) + 1/2 DATA(1, 2, -1) + 3/2 DATA(1, 2, 1) + + + 3/8 DATA(2, 2, 0) - 3/2 DATA(1, 2, 0) - 3/4 DATA(-1, 2, 0) + + - 15/4 DATA(-1, 0, 0) - 5/4 DATA(-1, 0, 2) - 5/2 DATA(1, 0, 2) + + + 15/8 DATA(0, 2, 0) + 5/8 DATA(0, 2, 2) + 25/8 DATA(0, 0, 2) + + - 5/2 DATA(0, 1, 2) - 15/4 DATA(0, -1, 0) - 5/4 DATA(0, -1, 2) + + + 2 DATA(1, 1, 2) - 1/8 DATA(2, 2, -1) - 3/8 DATA(2, 2, 1) + + + 1/4 DATA(2, -1, -1) + 3/4 DATA(2, -1, 1) + 3/2 DATA(-1, -1, 0) + + + 1/2 DATA(-1, -1, 2) - 1/4 DATA(2, -1, 2) - 1/4 DATA(-1, 2, 2) + + + 1/8 DATA(2, 2, 2) + DATA(1, -1, 2) - 1/2 DATA(2, 1, 2) + DATA(-1, 1, 2) + + 2 2 3 + - 1/2 DATA(1, 2, 2)) x y z + (- 15/8 DATA(2, 0, 0) - 45/8 DATA(0, 0, 0) + + + 9/2 DATA(1, 1, 1) + 45/8 DATA(0, 0, 1) + 9/2 DATA(0, 1, 0) + + - 9/2 DATA(0, 1, 1) + 45/8 DATA(1, 0, 0) - 45/8 DATA(1, 0, 1) + + - 9/2 DATA(1, 1, 0) - 5/8 DATA(2, 0, 2) + 3/2 DATA(-1, 1, 1) + + + 1/4 DATA(-1, -1, -1) + 3/4 DATA(-1, -1, 1) + 1/2 DATA(-1, 1, -1) + + + 3/4 DATA(1, -1, -1) + 9/4 DATA(1, -1, 1) + 3/2 DATA(1, 1, -1) + + - 5/8 DATA(-1, 0, -1) - 15/8 DATA(-1, 0, 1) - 1/8 DATA(-1, 2, -1) + + - 3/8 DATA(-1, 2, 1) - 9/4 DATA(1, -1, 0) + 3/4 DATA(2, -1, 0) + + + 3/2 DATA(2, 1, 0) - 3/2 DATA(-1, 1, 0) - 1/2 DATA(2, 1, -1) + + - 3/2 DATA(2, 1, 1) - 3/4 DATA(0, -1, -1) - 9/4 DATA(0, -1, 1) + + + 3/8 DATA(0, 2, -1) + 9/8 DATA(0, 2, 1) + 5/8 DATA(2, 0, -1) + + + 15/8 DATA(2, 0, 1) + 15/8 DATA(0, 0, -1) - 3/2 DATA(0, 1, -1) + + - 15/8 DATA(1, 0, -1) - 3/8 DATA(1, 2, -1) - 9/8 DATA(1, 2, 1) + + - 3/8 DATA(2, 2, 0) + 9/8 DATA(1, 2, 0) + 3/8 DATA(-1, 2, 0) + + + 15/8 DATA(-1, 0, 0) + 5/8 DATA(-1, 0, 2) + 15/8 DATA(1, 0, 2) + + - 9/8 DATA(0, 2, 0) - 3/8 DATA(0, 2, 2) - 15/8 DATA(0, 0, 2) + + + 3/2 DATA(0, 1, 2) + 9/4 DATA(0, -1, 0) + 3/4 DATA(0, -1, 2) + + - 3/2 DATA(1, 1, 2) + 1/8 DATA(2, 2, -1) + 3/8 DATA(2, 2, 1) + + - 1/4 DATA(2, -1, -1) - 3/4 DATA(2, -1, 1) - 3/4 DATA(-1, -1, 0) + + - 1/4 DATA(-1, -1, 2) + 1/4 DATA(2, -1, 2) + 1/8 DATA(-1, 2, 2) + + - 1/8 DATA(2, 2, 2) - 3/4 DATA(1, -1, 2) + 1/2 DATA(2, 1, 2) + + 3 2 3 + - 1/2 DATA(-1, 1, 2) + 3/8 DATA(1, 2, 2)) x y z + ( + + - 1/8 DATA(-1, -1, -1) - 3/8 DATA(-1, -1, 1) + 1/8 DATA(-1, 1, -1) + + + 3/8 DATA(-1, 1, 1) + 1/8 DATA(1, -1, -1) + 3/8 DATA(1, -1, 1) + + - 1/8 DATA(1, 1, -1) - 3/8 DATA(1, 1, 1) + 3/8 DATA(-1, -1, 0) + + + 1/8 DATA(-1, -1, 2) - 3/8 DATA(-1, 1, 0) - 1/8 DATA(-1, 1, 2) + + - 3/8 DATA(1, -1, 0) - 1/8 DATA(1, -1, 2) + 3/8 DATA(1, 1, 0) + + 3 + + 1/8 DATA(1, 1, 2)) x y z + (- 3/2 DATA(1, 1, 1) - 15/8 DATA(0, 1, 0) + + + 15/8 DATA(0, 1, 1) + 3/2 DATA(1, 1, 0) - 3/4 DATA(-1, 1, 1) + + + 1/4 DATA(-1, -1, -1) + 3/4 DATA(-1, -1, 1) - 1/4 DATA(-1, 1, -1) + + + 1/2 DATA(1, -1, -1) + 3/2 DATA(1, -1, 1) - 1/2 DATA(1, 1, -1) + + - 3/2 DATA(1, -1, 0) + 3/8 DATA(2, -1, 0) - 3/8 DATA(2, 1, 0) + + + 3/4 DATA(-1, 1, 0) + 1/8 DATA(2, 1, -1) + 3/8 DATA(2, 1, 1) + + - 5/8 DATA(0, -1, -1) - 15/8 DATA(0, -1, 1) + 5/8 DATA(0, 1, -1) + + - 5/8 DATA(0, 1, 2) + 15/8 DATA(0, -1, 0) + 5/8 DATA(0, -1, 2) + + + 1/2 DATA(1, 1, 2) - 1/8 DATA(2, -1, -1) - 3/8 DATA(2, -1, 1) + + - 3/4 DATA(-1, -1, 0) - 1/4 DATA(-1, -1, 2) + 1/8 DATA(2, -1, 2) + + 2 3 + - 1/2 DATA(1, -1, 2) - 1/8 DATA(2, 1, 2) + 1/4 DATA(-1, 1, 2)) x y z + ( + + 9/8 DATA(1, 1, 1) + 9/8 DATA(0, 1, 0) - 9/8 DATA(0, 1, 1) + + - 9/8 DATA(1, 1, 0) + 3/8 DATA(-1, 1, 1) - 1/8 DATA(-1, -1, -1) + + - 3/8 DATA(-1, -1, 1) + 1/8 DATA(-1, 1, -1) - 3/8 DATA(1, -1, -1) + + - 9/8 DATA(1, -1, 1) + 3/8 DATA(1, 1, -1) + 9/8 DATA(1, -1, 0) + + - 3/8 DATA(2, -1, 0) + 3/8 DATA(2, 1, 0) - 3/8 DATA(-1, 1, 0) + + - 1/8 DATA(2, 1, -1) - 3/8 DATA(2, 1, 1) + 3/8 DATA(0, -1, -1) + + + 9/8 DATA(0, -1, 1) - 3/8 DATA(0, 1, -1) + 3/8 DATA(0, 1, 2) + + - 9/8 DATA(0, -1, 0) - 3/8 DATA(0, -1, 2) - 3/8 DATA(1, 1, 2) + + + 1/8 DATA(2, -1, -1) + 3/8 DATA(2, -1, 1) + 3/8 DATA(-1, -1, 0) + + + 1/8 DATA(-1, -1, 2) - 1/8 DATA(2, -1, 2) + 3/8 DATA(1, -1, 2) + + 3 3 + + 1/8 DATA(2, 1, 2) - 1/8 DATA(-1, 1, 2)) x y z + +> +# I +> coeff_as_lc_of_data(%, posn_list_3d_size4); +bytes used=53339948, alloc=6814496, time=4.92 +bytes used=54436396, alloc=6814496, time=4.99 +bytes used=55436556, alloc=6814496, time=5.06 +bytes used=56443836, alloc=6814496, time=5.13 +bytes used=57444248, alloc=6814496, time=5.20 +bytes used=58468692, alloc=6814496, time=5.28 +bytes used=59521176, alloc=6814496, time=5.35 +bytes used=60522980, alloc=6814496, time=5.42 +bytes used=61562156, alloc=6814496, time=5.50 +bytes used=62580164, alloc=6814496, time=5.57 +bytes used=63591788, alloc=6814496, time=5.63 +bytes used=64602012, alloc=6814496, time=5.68 +bytes used=65612012, alloc=6814496, time=5.73 +bytes used=66622012, alloc=6814496, time=5.78 + 3 3 3 2 2 2 3 2 3 3 2 +[COEFF(-1, -1, -1) = - 1/8 x y z - 1/2 x y z - 1/2 x y z + 1/4 x y z + + 2 2 3 2 2 3 + - 1/2 x y z + 1/4 x y z - 1/8 x y z + 1/4 x y z - 1/8 x y z + + 2 3 3 3 3 3 2 3 2 2 3 3 2 3 + + 1/4 x y z - 1/8 x y z + 1/4 x y z - 1/2 x y z + 1/4 x y z + + 3 2 3 3 3 3 2 2 + - 1/8 x y z + 1/4 x y z - 1/8 x y z + 1/4 x y z + 1/4 x y z + + 2 2 3 3 2 2 2 3 3 + - 1/2 x y z - 1/8 x y z + 1/4 x y z - 1/2 x y z - 1/8 x y z + + 2 2 3 2 2 2 2 + + 1/4 x y z + 1/4 x y z + x y z , COEFF(0, -1, -1) = - 1/2 y z + + 2 2 3 3 2 3 3 2 3 + + 1/4 y z + y z + 1/4 y z - 1/2 y z - 1/2 y z + 1/4 y z + + 3 2 3 3 3 2 2 2 3 2 + + 1/4 y z - 1/2 y z + 3/8 x y z + 3/2 x y z + 5/4 x y z + + 3 3 2 2 3 2 3 3 3 3 3 + - 3/4 x y z - 5/8 x y z + 3/8 x y z - 5/8 x y z + 3/8 x y z + + 2 2 3 3 2 3 2 3 3 3 3 2 + + 5/4 x y z - 3/4 x y z - 5/8 x y z + 3/8 x y z - 3/4 x y z + + 2 2 3 2 2 2 2 3 2 2 2 + + 5/4 x y z - 3/4 x y z + 5/4 x y z - 5/8 x y z - 5/2 x y z , + + 3 3 3 2 2 2 3 2 3 3 2 + COEFF(1, -1, -1) = - 3/8 x y z - 3/2 x y z - x y z + 3/4 x y z + + 2 2 3 2 2 3 + + 1/2 x y z - 1/4 x y z + 1/8 x y z + 1/2 x y z - 3/8 x y z + + 2 3 3 3 3 3 2 3 2 2 3 3 2 3 + + 1/2 x y z - 3/8 x y z - 1/4 x y z - x y z + 3/4 x y z + + 3 2 3 3 3 3 2 2 + + 1/8 x y z + 1/2 x y z - 3/8 x y z + 3/4 x y z - 1/4 x y z + + 2 2 3 3 2 2 2 3 3 2 + - x y z + 1/8 x y z + 3/4 x y z - x y z + 1/8 x y z - 1/4 x y z + + 2 3 2 2 2 2 3 2 2 + + 1/2 x y z + 2 x y z , COEFF(2, -1, -1) = - 1/8 x y z + 1/4 x y z + + 3 2 3 2 3 2 3 3 2 2 2 2 2 + - 1/4 x y z + 1/4 x y z + 1/8 x y z + 1/4 x y z - 1/2 x y z + + 2 3 3 2 2 3 3 2 2 2 3 3 2 + - 1/8 x y z + 1/4 x y z + 1/2 x y z - 1/8 x y z - 1/4 x y z + + 3 3 3 2 3 3 3 3 2 3 2 + + 1/8 x y z - 1/8 x y z + 1/8 x y z - 1/4 x y z - 1/4 x y z + + 3 2 3 3 2 + + 1/8 x y z, COEFF(-1, 0, -1) = - 1/2 x z + 1/4 x z - 1/2 x z + + 3 3 2 2 2 3 3 3 + + 1/4 x z + 1/4 x z - 1/2 x z + x z + 3/8 x y z + 1/4 x z + + 2 3 3 2 2 2 3 2 3 3 2 2 2 + - 1/2 x z + 5/4 x y z + 3/2 x y z - 3/4 x y z + 5/4 x y z + + 3 2 2 3 3 3 3 3 2 3 2 2 3 + - 3/4 x y z - 3/4 x y z + 3/8 x y z - 5/8 x y z + 5/4 x y z + + 3 2 3 3 2 2 2 2 3 + - 5/8 x y z - 5/8 x y z - 5/8 x y z + 5/4 x y z + 3/8 x y z + + 3 3 2 3 2 2 2 2 + + 3/8 x y z - 3/4 x y z - 5/2 x y z , COEFF(0, 0, -1) = 5/4 x z + + 3 3 2 2 2 3 3 2 3 3 2 + - 3/4 x z + 3/2 x z - 5/2 y z - 3/4 y z + 5/4 y z + 3/2 y z + + 3 2 3 3 2 2 2 3 + - 3/4 y z + 5/4 y z - 1/2 z - 3/4 x z + z - 5/2 x z - 1/2 z + + 3 3 2 3 3 2 2 2 3 2 3 3 2 + - 9/8 x y z + 5/4 x z - 15/4 x y z - 15/4 x y z + 9/4 x y z + + 2 3 3 3 3 3 2 2 3 3 2 3 + + 15/8 x y z - 9/8 x y z - 25/8 x y z + 15/8 x y z + + 3 2 2 2 2 3 2 2 2 + + 15/8 x y z - 25/8 x y z + 15/8 x y z + 25/4 x y z , + + 2 3 3 2 3 3 + COEFF(1, 0, -1) = -x z + 3/4 x z - 3/2 x z - 1/4 x z + 3/4 x z + + 2 2 2 3 3 3 2 3 3 2 2 + + 1/2 x z + 2 x z + 9/8 x y z - 1/4 x z - x z + 15/4 x y z + + 2 3 2 3 3 2 2 2 3 2 2 3 3 + + 3 x y z - 9/4 x y z - 5/4 x y z + 3/4 x y z - 3/2 x y z + + 3 3 3 2 3 2 2 3 3 2 3 3 2 + + 9/8 x y z + 5/8 x y z + 5/2 x y z - 15/8 x y z - 15/8 x y z + + 2 2 2 3 3 3 2 3 + + 5/8 x y z + 5/2 x y z - 3/8 x y z - 3/8 x y z - 3/2 x y z + + 2 2 2 3 3 2 3 2 + - 5 x y z , COEFF(2, 0, -1) = - 3/8 x y z - 3/4 x y z + + 3 2 2 2 2 2 3 3 3 2 2 3 + - 5/4 x y z + 1/4 x z - 5/8 x y z + 3/4 x y z + 3/8 x y z + + 2 2 2 3 2 3 3 2 3 3 2 3 3 + + 5/4 x y z + 5/8 x y z + 1/2 x z - 1/4 x z + 3/8 x y z + + 2 3 3 3 3 2 2 2 2 3 + + 1/4 x z - 3/8 x y z - 1/2 x z - 5/8 x y z - 1/4 x z + + 3 2 3 3 3 2 2 2 3 2 + + 5/8 x y z, COEFF(-1, 1, -1) = - 3/8 x y z - x y z - 3/2 x y z + + 3 3 2 2 2 3 2 2 + + 3/4 x y z - x y z + 3/4 x y z + 1/8 x y z - 1/4 x y z + + 3 2 3 3 3 3 3 2 3 2 2 3 + + 1/8 x y z + 3/4 x y z - 3/8 x y z + 1/2 x y z - x y z + + 3 2 3 3 2 3 3 3 3 2 + + 1/2 x y z + 1/8 x y z - 1/4 x y z + 1/8 x y z + 1/2 x y z + + 2 2 2 3 3 2 2 2 + + 1/2 x y z - x y z - 3/8 x y z - 1/4 x y z + 1/2 x y z + + 3 3 2 2 3 2 2 2 + - 3/8 x y z - 1/4 x y z + 3/4 x y z + 2 x y z , COEFF(0, 1, -1) = + + 2 2 2 3 3 2 3 3 2 3 + 1/2 y z - 1/4 y z + 2 y z + 3/4 y z - y z - 3/2 y z - 1/4 y z + + 3 2 3 3 3 2 2 2 3 2 + + 3/4 y z - y z + 9/8 x y z + 3 x y z + 15/4 x y z + + 3 3 2 2 3 2 3 3 3 3 3 + - 9/4 x y z + 5/8 x y z - 3/8 x y z - 15/8 x y z + 9/8 x y z + + 2 2 3 3 2 3 2 3 3 3 3 2 + + 5/2 x y z - 3/2 x y z + 5/8 x y z - 3/8 x y z - 3/2 x y z + + 2 2 3 2 2 2 2 3 2 2 2 + + 5/2 x y z + 3/4 x y z - 5/4 x y z - 15/8 x y z - 5 x y z , + + 3 3 3 2 2 2 3 2 3 3 2 + COEFF(1, 1, -1) = - 9/8 x y z - 3 x y z - 3 x y z + 9/4 x y z + + 2 2 3 2 2 3 + + x y z - 3/4 x y z - 1/8 x y z - 1/2 x y z + 3/8 x y z + + 2 3 3 3 3 3 2 3 2 2 3 3 2 3 + + 3/2 x y z - 9/8 x y z - 1/2 x y z - 2 x y z + 3/2 x y z + + 3 2 3 3 3 3 2 2 + - 1/8 x y z - 1/2 x y z + 3/8 x y z + 3/2 x y z - 1/2 x y z + + 2 2 3 3 2 2 2 3 3 + - 2 x y z + 3/8 x y z - 3/4 x y z + x y z + 3/8 x y z + + 2 2 3 2 2 2 2 2 3 + + 1/4 x y z + 3/2 x y z + 4 x y z , COEFF(2, 1, -1) = 1/2 x y z + + 2 3 3 3 3 3 2 2 2 3 3 + - 3/8 x y z + 3/8 x y z + x y z - 3/8 x y z - 1/8 x y z + + 3 3 3 3 3 2 3 2 2 2 + + 3/8 x y z - 1/8 x y z + 1/8 x y z + 1/4 x y z + 1/2 x y z + + 2 2 2 3 3 3 2 3 2 3 2 3 2 + - 1/4 x y z + 1/8 x y z - 3/4 x y z - 1/2 x y z + 3/4 x y z + + 3 2 2 2 2 3 2 3 3 + - 1/2 x y z - x y z , COEFF(-1, 2, -1) = - 1/4 x y z + 1/8 x y z + + 2 3 2 3 2 3 3 2 2 3 2 + - 1/4 x y z - 1/8 x y z - 1/8 x y z - 1/4 x y z + 1/2 x y z + + 2 2 2 2 2 3 2 2 3 3 3 3 + + 1/4 x y z - 1/2 x y z + 1/8 x y z + 1/4 x y z + 1/8 x y z + + 3 3 2 3 2 3 3 3 2 2 2 2 + + 1/8 x y z - 1/8 x y z - 1/4 x y z + 1/4 x y z + 1/4 x y z + + 3 2 3 3 2 2 2 2 3 + - 1/8 x y z , COEFF(0, 2, -1) = - 3/4 x y z - 5/8 x y z + + 3 2 2 3 2 2 3 2 2 3 3 + + 3/8 x y z - 5/4 x y z + 1/4 y z - 1/2 y z - 3/8 x y z + + 3 3 2 2 3 3 2 2 2 3 2 2 + + 3/4 x y z + 5/8 x y z + 5/4 x y z - 1/4 y z - 5/8 x y z + + 3 3 3 3 3 2 3 3 2 3 2 3 + - 3/8 x y z - 1/4 y z + 5/8 x y z + 1/2 y z + 3/8 x y z + + 2 2 2 2 3 2 2 + + 1/4 y z, COEFF(1, 2, -1) = 1/8 x y z + 1/2 x y z - 1/4 x y z + + 3 3 3 2 3 3 2 2 2 3 2 + - 1/8 x y z - 3/8 x y z + 3/8 x y z + 1/2 x y z + x y z + + 3 3 3 2 3 3 2 3 3 3 2 2 3 + + 3/8 x y z - 1/2 x y z - 3/8 x y z - 3/4 x y z + 1/8 x y z + + 3 2 2 3 2 3 2 2 2 2 3 3 + + 3/4 x y z + 1/4 x y z - 1/8 x y z - x y z - 1/2 x y z , + + 2 2 2 3 3 2 2 3 3 3 3 + COEFF(2, 2, -1) = 1/4 x y z + 1/4 x y z + 1/8 x y z - 1/8 x y z + + 2 2 3 2 2 3 2 3 3 3 3 2 3 + - 1/8 x y z - 1/8 x y z + 1/8 x y z - 1/8 x y z + 1/8 x y z + + 3 2 2 3 2 3 2 2 + + 1/8 x y z - 1/4 x y z - 1/4 x y z , COEFF(-1, -1, 0) = + + 3 2 2 3 2 2 3 2 3 3 2 + 5/4 x y z + 1/4 x y - 1/2 x y + 5/4 x y z - 5/8 x y z + + 2 2 2 3 2 2 3 2 3 2 3 + + 5/4 x y z - 1/2 x y + x y - 1/2 x y - 5/8 x y z + 1/4 x y + + 2 3 3 3 3 3 2 3 2 2 3 3 2 3 + - 3/4 x y z + 3/8 x y z - 3/4 x y z + 3/2 x y z - 3/4 x y z + + 3 2 3 3 3 3 2 2 2 + + 3/8 x y z - 3/4 x y z + 3/8 x y z - 5/8 x y z + 5/4 x y z + + 3 3 2 2 2 2 2 3 3 + + 3/8 x y z - 5/8 x y z - 5/2 x y z - 1/2 x y + 1/4 x y + 1/4 x y + + 2 2 2 3 3 2 3 + , COEFF(0, -1, 0) = 5/4 y z - 5/2 y z - 3/4 y z + 3/2 y z + + 3 2 3 3 2 2 3 2 2 + + 5/4 y z - 3/4 y z - 1/2 y - 15/4 x y z - 3/4 x y + y + 5/4 x y + + 2 3 2 3 3 2 3 2 3 2 2 + - 25/8 x y z + 15/8 x y z - 1/2 y + 5/4 x y - 5/2 x y + + 3 2 2 3 3 3 3 3 2 2 3 3 2 3 + + 3/2 x y + 15/8 x y z - 9/8 x y z - 15/4 x y z + 9/4 x y z + + 2 3 3 3 3 2 2 2 2 2 2 + + 15/8 x y z - 9/8 x y z + 15/8 x y z - 25/8 x y z + 25/4 x y z + + 3 3 3 2 2 3 2 + - 3/4 x y , COEFF(1, -1, 0) = 15/4 x y z + 3/4 x y - x y + + 2 3 2 3 3 2 2 2 2 3 2 2 3 2 + + 5/2 x y z - 15/8 x y z - 5/4 x y z - x y + 2 x y - 3/2 x y + + 3 2 3 2 3 3 3 3 3 2 3 + + 5/8 x y z - 1/4 x y - 3/2 x y z + 9/8 x y z + 3/4 x y z + + 2 2 3 3 2 3 3 2 3 3 3 + + 3 x y z - 9/4 x y z - 3/8 x y z - 3/2 x y z + 9/8 x y z + + 3 2 2 2 3 3 2 2 2 2 + - 15/8 x y z + 5/2 x y z - 3/8 x y z + 5/8 x y z - 5 x y z + + 2 3 3 3 2 3 + + 1/2 x y - 1/4 x y + 3/4 x y , COEFF(2, -1, 0) = 3/4 x y z + + 2 3 2 2 3 2 2 2 3 2 + - 5/8 x y z + 3/8 x y z - 5/8 x y z + 1/4 x y + 1/2 x y + + 3 3 2 2 2 2 3 3 2 3 + - 1/4 x y + 5/8 x y z - 1/2 x y + 3/8 x y z + 1/4 x y + + 2 2 2 3 3 3 3 2 3 3 3 2 2 + + 5/4 x y z - 1/4 x y + 5/8 x y z - 3/8 x y z - 5/4 x y z + + 2 2 3 3 3 3 3 2 + - 3/4 x y z - 3/8 x y z , COEFF(-1, 0, 0) = - 1/2 x + 5/4 x z + + 3 3 2 2 2 3 2 3 3 2 2 + - 3/4 x z + 5/4 x z - 5/2 x z - 3/4 x z + 3/2 x z - 25/8 x y z + + 3 2 2 3 2 3 3 2 2 2 2 3 + - 1/2 x + x - 15/4 x y z + 15/8 x y z - 25/8 x y z + 3/2 x y + + 2 2 3 2 3 2 3 2 3 3 + - 5/2 x y + 5/4 x y + 15/8 x y z - 3/4 x y + 9/4 x y z + + 3 3 3 2 3 2 2 3 3 2 3 + - 9/8 x y z + 15/8 x y z - 15/4 x y z + 15/8 x y z + + 3 3 2 2 2 2 3 3 + - 9/8 x y z + 25/4 x y z + 5/4 x y - 3/4 x y , COEFF(0, 0, 0) = 1 + + 3 2 2 2 3 3 2 3 3 2 + - 15/4 x z + 25/4 y z + 9/4 y z - 15/4 y z - 15/4 y z + + 3 3 2 2 2 3 2 3 3 2 2 + + 9/4 x z - 5/2 z + 25/4 x z + 3/2 z - 15/4 x z + 75/8 x y z + + 3 2 2 2 3 2 3 3 2 3 + + 3/2 x - 5/2 x - 5/2 y + 75/8 x y z - 45/8 x y z + 3/2 y + + 2 3 2 2 3 2 2 3 3 3 3 3 + - 15/4 x y + 25/4 x y - 15/4 x y - 45/8 x y z + 27/8 x y z + + 2 2 3 3 2 3 2 2 2 3 3 + + 75/8 x y z - 45/8 x y z - 125/8 x y z + 9/4 x y , + + 3 2 3 3 2 2 2 + COEFF(1, 0, 0) = 1/2 x + 15/4 x z - 9/4 x z - 5/4 x z - 5 x z + + 3 2 3 3 2 2 3 2 2 3 2 + + 3/4 x z + 3 x z - 75/8 x y z - 3/2 x + 2 x - 15/2 x y z + + 3 3 2 2 2 2 3 2 2 3 2 + + 45/8 x y z + 25/8 x y z + 3 x y - 5 x y + 15/4 x y + + 3 2 3 2 3 3 3 3 3 2 3 + - 15/8 x y z + 3/4 x y + 9/2 x y z - 27/8 x y z - 15/8 x y z + + 2 2 3 3 2 3 3 3 2 2 2 2 + - 15/2 x y z + 45/8 x y z + 9/8 x y z + 25/2 x y z - 5/4 x y + + 3 3 2 3 3 3 2 3 + - 9/4 x y , COEFF(2, 0, 0) = - 9/8 x y z - 15/8 x y z + + 2 2 2 2 2 3 2 2 3 3 + - 25/8 x y z - 1/2 x + 15/8 x y z - 3/4 x z + 1/2 x + + 2 2 3 3 3 3 2 2 3 2 2 2 + + 15/8 x y z + 9/8 x y z + 5/4 x z - 5/4 x y + 5/4 x y + + 3 3 2 3 2 2 3 3 3 3 3 + - 15/8 x y z - 5/4 x z - 3/4 x y + 3/4 x z + 3/4 x y + + 3 2 2 3 2 2 3 2 + + 25/8 x y z , COEFF(-1, 1, 0) = 5/2 x y z - 1/4 x y + 1/2 x y + + 2 3 2 3 3 2 2 2 2 3 2 2 + + 15/4 x y z - 15/8 x y z + 5/2 x y z - 3/2 x y + 2 x y + + 3 2 3 2 3 2 3 3 3 3 3 + - x y - 15/8 x y z + 3/4 x y - 9/4 x y z + 9/8 x y z + + 2 3 2 2 3 3 2 3 3 2 3 + - 3/2 x y z + 3 x y z - 3/2 x y z - 3/8 x y z + 3/4 x y z + + 3 3 3 2 2 2 3 3 2 + - 3/8 x y z + 5/8 x y z - 5/4 x y z + 9/8 x y z + 5/8 x y z + + 2 2 2 2 3 3 2 + - 5 x y z - x y - 1/4 x y + 3/4 x y , COEFF(0, 1, 0) = - 5/4 y z + + 2 2 3 3 2 3 3 2 3 + - 5 y z - 9/4 y z + 3 y z + 15/4 y z + 3/4 y z + 1/2 y + + 3 2 2 3 2 2 2 3 2 + - 15/2 x y z + 3/4 x y + 2 y - 5/4 x y - 75/8 x y z + + 3 3 2 3 2 3 2 2 3 2 2 3 3 + + 45/8 x y z - 3/2 y + 15/4 x y - 5 x y + 3 x y + 45/8 x y z + + 3 3 3 2 2 3 3 2 3 2 3 + - 27/8 x y z - 15/2 x y z + 9/2 x y z - 15/8 x y z + + 3 3 3 2 2 2 2 2 2 3 3 + + 9/8 x y z - 15/8 x y z + 25/8 x y z + 25/2 x y z - 9/4 x y , + + 3 2 2 3 2 2 3 2 + COEFF(1, 1, 0) = 15/2 x y z - 3/4 x y + x y + 15/2 x y z + + 3 3 2 2 2 2 3 2 2 3 2 3 2 + - 45/8 x y z - 5/2 x y z - 3 x y + 4 x y - 3 x y + 15/8 x y z + + 3 2 3 3 3 3 3 2 3 2 2 3 + - 3/4 x y - 9/2 x y z + 27/8 x y z + 3/2 x y z + 6 x y z + + 3 2 3 3 2 3 3 3 3 2 + - 9/2 x y z + 3/8 x y z + 3/2 x y z - 9/8 x y z + 15/8 x y z + + 2 2 3 3 2 2 2 2 2 + - 5/2 x y z - 9/8 x y z - 5/8 x y z - 10 x y z + x y + 1/4 x y + + 3 3 2 3 3 3 3 3 2 2 + + 9/4 x y , COEFF(2, 1, 0) = 9/8 x y z - 9/8 x y z + 5/8 x y z + + 3 2 3 3 2 2 3 2 3 2 2 2 + + 3/2 x y z + x y - 15/8 x y z + 1/4 x y + 5/2 x y z + + 2 2 3 3 2 2 3 3 2 3 3 3 + - 3/2 x y z - 5/2 x y z - 3/4 x y - 3/8 x y z + 3/8 x y z + + 3 3 2 2 2 2 2 3 3 2 + + 15/8 x y z - x y - 1/4 x y + 3/4 x y - 5/8 x y z , + + 3 3 3 2 3 2 3 3 2 + COEFF(-1, 2, 0) = - 3/8 x y z - 5/4 x y z - 1/4 x y + 5/8 x y z + + 2 2 2 2 2 2 3 3 3 2 3 + + 1/4 x y - 5/8 x y z - 1/2 x y + 3/4 x y z + 3/8 x y z + + 2 2 3 2 3 2 2 2 3 3 3 2 2 + - 3/4 x y z + 3/8 x y z + 5/4 x y z - 3/8 x y z - 5/8 x y z + + 3 2 3 3 2 3 3 2 3 + + 1/4 x y + 5/8 x y z - 1/4 x y + 1/2 x y , COEFF(0, 2, 0) = + + 3 3 2 3 3 3 2 2 2 3 + - 15/8 x y z + 3/4 y z - 5/4 y z - 1/2 y - 5/4 x y + + 2 2 3 3 2 2 2 2 3 3 2 2 + + 15/8 x y z + 1/2 y - 25/8 x y z - 3/4 y z + 15/8 x y z + + 2 2 3 3 3 3 2 3 2 3 3 2 3 2 + + 5/4 y z + 9/8 x y z - 9/8 x y z - 15/8 x y z + 25/8 x y z + + 3 3 3 2 2 2 3 2 3 2 2 + + 3/4 x y - 3/4 x y + 5/4 x y , COEFF(1, 2, 0) = 9/8 x y z - x y + + 3 3 3 2 3 3 3 3 2 3 2 2 2 3 + - 9/8 x y z + 3/2 x y z + 15/8 x y z - 5/8 x y z - 3/2 x y z + + 3 3 2 2 2 2 3 3 2 2 2 3 + - 3/4 x y + 5/2 x y z - 3/8 x y z - 15/8 x y z + x y + + 3 2 2 3 2 3 2 2 2 + + 1/4 x y - 1/4 x y - 5/2 x y z + 3/4 x y + 5/8 x y z + + 3 3 2 3 3 2 2 3 2 + + 3/8 x y z , COEFF(2, 2, 0) = - 1/4 x y + 5/8 x y z - 1/4 x y + + 2 2 2 2 3 3 3 3 2 3 2 2 2 + - 5/8 x y z - 3/8 x y z + 1/4 x y + 5/8 x y z + 1/4 x y + + 3 2 3 3 3 2 3 3 3 2 2 3 + - 3/8 x y z - 5/8 x y z + 3/8 x y z + 3/8 x y z , + + 3 3 3 2 2 2 3 2 3 3 2 + COEFF(-1, -1, 1) = 1/8 x y z - x y z - x y z + 1/2 x y z + + 2 2 3 2 2 3 + - x y z + 1/2 x y z + 1/8 x y z - 1/4 x y z + 1/8 x y z + + 2 3 3 3 3 3 2 3 2 2 3 3 2 3 + + 3/4 x y z - 3/8 x y z + 3/4 x y z - 3/2 x y z + 3/4 x y z + + 3 2 3 3 3 3 2 2 + - 3/8 x y z + 3/4 x y z - 3/8 x y z - 1/4 x y z - 1/4 x y z + + 2 2 3 3 2 2 2 3 3 + + 1/2 x y z + 1/8 x y z + 1/2 x y z - x y z - 3/8 x y z + + 2 2 3 2 2 2 2 + + 1/2 x y z - 1/4 x y z + 2 x y z , COEFF(0, -1, 1) = -y z - 1/4 y z + + 2 2 3 3 2 3 3 2 3 3 2 + + 2 y z + 3/4 y z - 3/2 y z - y z + 3/4 y z - 1/4 y z + 1/2 y z + + 3 3 3 2 2 2 3 2 3 3 2 2 + - 3/8 x y z + 3 x y z + 5/2 x y z - 3/2 x y z + 5/8 x y z + + 3 2 3 3 3 3 3 2 2 3 3 2 3 + - 3/8 x y z - 15/8 x y z + 9/8 x y z + 15/4 x y z - 9/4 x y z + + 2 3 3 3 3 2 2 2 3 2 + - 15/8 x y z + 9/8 x y z + 3/4 x y z - 5/4 x y z - 3/2 x y z + + 2 2 2 3 2 2 2 3 3 + + 5/2 x y z + 5/8 x y z - 5 x y z , COEFF(1, -1, 1) = 3/8 x y z + + 3 2 2 2 3 2 3 3 2 2 2 3 2 + - 3 x y z - 2 x y z + 3/2 x y z + x y z - 1/2 x y z + + 2 3 2 3 3 3 3 3 + - 1/8 x y z - 1/2 x y z + 3/8 x y z + 3/2 x y z - 9/8 x y z + + 2 3 2 2 3 3 2 3 3 2 3 + - 3/4 x y z - 3 x y z + 9/4 x y z + 3/8 x y z + 3/2 x y z + + 3 3 3 2 2 2 2 3 + - 9/8 x y z - 3/4 x y z + 1/4 x y z + x y z - 1/8 x y z + + 3 2 2 2 3 3 2 2 3 + + 3/2 x y z - 2 x y z + 3/8 x y z - 1/2 x y z - 1/2 x y z + + 2 2 2 2 3 3 3 2 3 3 + + 4 x y z , COEFF(2, -1, 1) = - 3/8 x y z - 1/8 x y z - 3/8 x y z + + 3 2 3 2 3 2 2 3 3 3 3 3 + - 1/2 x y z - 3/4 x y z - 1/4 x y z + 3/8 x y z + 3/8 x y z + + 2 3 3 2 2 2 2 3 2 2 3 + + 1/8 x y z - 1/2 x y z - x y z - 1/8 x y z + 3/4 x y z + + 2 3 2 3 2 2 3 2 2 3 2 2 + + 1/2 x y z + 1/4 x y z + 1/8 x y z + 1/2 x y z + x y z , + + 2 3 3 2 3 3 2 + COEFF(-1, 0, 1) = 1/2 x z - 1/4 x z - x z - 1/4 x z + 3/4 x z - x z + + 2 2 3 3 3 2 3 3 2 2 2 3 2 + + 2 x z - 3/8 x y z + 3/4 x z - 3/2 x z + 5/2 x y z + 3 x y z + + 3 3 2 2 2 3 2 2 3 3 3 3 3 + - 3/2 x y z + 5/2 x y z - 3/2 x y z - 9/4 x y z + 9/8 x y z + + 2 3 2 2 3 3 2 3 3 2 2 + - 15/8 x y z + 15/4 x y z - 15/8 x y z + 5/8 x y z + 5/8 x y z + + 2 2 3 3 3 2 3 2 2 2 + - 5/4 x y z - 3/8 x y z + 9/8 x y z + 3/4 x y z - 5 x y z , + + 2 3 3 2 2 2 3 3 + COEFF(0, 0, 1) = - 5/4 x z + 3/4 x z + 3 x z - 5 y z - 9/4 y z + + 2 3 3 2 3 2 3 3 2 + + 15/4 y z + 3 y z + 3/4 y z - 5/4 y z + 1/2 z - 9/4 x z + 2 z + + 2 2 3 3 3 2 3 3 2 2 + - 5 x z - 3/2 z + 9/8 x y z + 15/4 x z - 15/2 x y z + + 2 3 2 3 3 2 2 3 3 3 3 3 + - 15/2 x y z + 9/2 x y z + 45/8 x y z - 27/8 x y z + + 2 2 3 3 2 3 3 2 2 2 + - 75/8 x y z + 45/8 x y z - 15/8 x y z + 25/8 x y z + + 2 3 2 2 2 2 3 3 2 + - 15/8 x y z + 25/2 x y z , COEFF(1, 0, 1) = x z - 3/4 x z - 3 x z + + 3 3 2 2 2 3 3 3 2 3 + + 1/4 x z + 9/4 x z + x z + 4 x z - 9/8 x y z - 3/4 x z - 3 x z + + 3 2 2 2 3 2 3 3 2 2 2 3 2 + + 15/2 x y z + 6 x y z - 9/2 x y z - 5/2 x y z + 3/2 x y z + + 2 3 3 3 3 3 2 3 2 2 3 + - 9/2 x y z + 27/8 x y z + 15/8 x y z + 15/2 x y z + + 3 2 3 3 2 2 2 2 3 + - 45/8 x y z + 15/8 x y z - 5/8 x y z - 5/2 x y z + 3/8 x y z + + 3 3 2 3 2 2 2 3 3 3 + - 9/8 x y z + 3/2 x y z - 10 x y z , COEFF(2, 0, 1) = - 9/8 x y z + + 2 3 3 2 2 2 3 2 3 2 2 3 3 + + 9/8 x y z + 5/2 x y z + 15/8 x y z - 15/8 x y z + 1/4 x z + + 3 3 2 3 3 2 3 2 2 3 3 2 3 + + 3/2 x y z + 3/8 x y z - 3/8 x y z - x z - 3/4 x z + 3/4 x z + + 2 3 2 3 2 3 2 2 2 3 2 + - 1/4 x z - 5/8 x y z + x z - 5/2 x y z - 3/2 x y z + + 2 2 3 3 3 2 2 2 3 2 + + 5/8 x y z, COEFF(-1, 1, 1) = 3/8 x y z - 2 x y z - 3 x y z + + 3 3 2 2 2 3 2 2 + + 3/2 x y z - 2 x y z + 3/2 x y z - 1/8 x y z + 1/4 x y z + + 3 2 3 3 3 3 3 2 3 2 2 3 + - 1/8 x y z + 9/4 x y z - 9/8 x y z + 3/2 x y z - 3 x y z + + 3 2 3 3 2 3 3 3 3 2 + + 3/2 x y z + 3/8 x y z - 3/4 x y z + 3/8 x y z - 1/2 x y z + + 2 2 2 3 3 2 2 2 3 3 + - 1/2 x y z + x y z + 3/8 x y z - 1/2 x y z + x y z - 9/8 x y z + + 2 2 3 2 2 2 2 + - 1/2 x y z - 3/4 x y z + 4 x y z , COEFF(0, 1, 1) = y z + 1/4 y z + + 2 2 3 3 2 3 3 2 3 3 2 + + 4 y z + 9/4 y z - 3 y z - 3 y z - 3/4 y z - 3/4 y z + y z + + 3 3 3 2 2 2 3 2 3 3 2 2 + - 9/8 x y z + 6 x y z + 15/2 x y z - 9/2 x y z - 5/8 x y z + + 3 2 3 3 3 3 3 2 2 3 + + 3/8 x y z - 45/8 x y z + 27/8 x y z + 15/2 x y z + + 3 2 3 2 3 3 3 3 2 2 2 + - 9/2 x y z + 15/8 x y z - 9/8 x y z + 3/2 x y z - 5/2 x y z + + 3 2 2 2 2 3 2 2 2 + + 3/2 x y z - 5/2 x y z + 15/8 x y z - 10 x y z , COEFF(1, 1, 1) + + 3 3 3 2 2 2 3 2 3 3 2 2 2 + = 9/8 x y z - 6 x y z - 6 x y z + 9/2 x y z + 2 x y z + + 3 2 2 3 2 3 3 + - 3/2 x y z + 1/8 x y z + 1/2 x y z - 3/8 x y z + 9/2 x y z + + 3 3 3 2 3 2 2 3 3 2 3 3 + - 27/8 x y z - 3/2 x y z - 6 x y z + 9/2 x y z - 3/8 x y z + + 2 3 3 3 3 2 2 2 2 + - 3/2 x y z + 9/8 x y z - 3/2 x y z + 1/2 x y z + 2 x y z + + 3 3 2 2 2 3 3 2 + - 3/8 x y z - 3/2 x y z + 2 x y z + 9/8 x y z + 1/2 x y z + + 2 3 2 2 2 3 2 + - 3/2 x y z + 8 x y z , COEFF(2, 1, 1) = 1/8 x y z - 1/8 x y z + + 2 2 2 3 3 3 2 2 2 3 3 3 2 + - 2 x y z - 3/8 x y z + 2 x y z + 3/8 x y z - 3/2 x y z + + 3 3 3 2 2 2 2 2 3 2 3 + - 3/8 x y z + 1/2 x y z - 1/2 x y z - 1/2 x y z - 3/2 x y z + + 3 2 3 3 3 2 3 2 3 3 2 3 2 + + 1/2 x y z + 9/8 x y z + 3/8 x y z - 9/8 x y z + 3/2 x y z + + 2 2 3 3 2 3 2 3 3 + + 3/2 x y z , COEFF(-1, 2, 1) = - 3/8 x y z - 3/4 x y z + + 2 2 2 3 3 3 2 2 3 2 2 3 + - 1/4 x y z + 1/4 x y z - 1/2 x y z - 3/8 x y z + 3/4 x y z + + 3 3 2 2 2 3 3 3 3 3 + - 1/8 x y z + 1/2 x y z + 1/8 x y z - 1/8 x y z + 3/8 x y z + + 3 2 3 2 2 2 2 3 3 2 3 2 + + 1/8 x y z - 1/2 x y z - x y z + 3/8 x y z + x y z + + 2 2 3 2 3 2 3 3 + + 1/2 x y z , COEFF(0, 2, 1) = 9/8 x y z + 15/8 x y z + + 2 2 3 2 3 3 3 2 2 2 2 2 + - 15/8 x y z - 5/8 x y z + 3/2 x y z + 5/2 x y z - 1/4 y z + + 3 2 2 2 2 3 2 2 3 3 3 3 + - 3/8 x y z - y z - 5/2 x y z + 3/4 y z + 1/4 y z - 3/4 y z + + 2 2 3 2 3 3 3 3 3 3 2 2 + + 5/8 x y z + y z + 3/8 x y z - 9/8 x y z - 3/2 x y z , + + 3 2 2 2 2 3 2 3 + COEFF(1, 2, 1) = 1/2 x y z - 1/2 x y z - 1/8 x y z - 9/8 x y z + + 3 3 3 3 3 2 2 3 3 3 2 3 3 + - 3/8 x y z + 9/8 x y z + 3/2 x y z - 3/8 x y z - 3/2 x y z + + 3 2 2 2 3 2 2 2 2 3 3 2 3 2 + + 3/2 x y z + 2 x y z - 2 x y z - 3/2 x y z + 3/8 x y z + + 2 3 2 2 2 3 3 + + 1/2 x y z - 1/2 x y z + 3/8 x y z + 1/8 x y z, COEFF(2, 2, 1) = + + 2 3 3 3 2 3 3 3 3 3 3 2 2 2 + 3/8 x y z + 3/8 x y z - 3/8 x y z + 1/8 x y z + 1/2 x y z + + 3 2 2 2 2 2 3 3 2 2 3 3 2 + - 1/8 x y z + 1/8 x y z - 3/8 x y z - 1/2 x y z + 1/2 x y z + + 2 3 2 3 2 3 3 2 2 + - 1/8 x y z - 1/2 x y z , COEFF(-1, -1, 2) = 1/8 x y z + 1/4 x y z + + 3 2 2 3 3 2 2 2 3 2 2 + - 1/8 x y z - 1/4 x y z - 1/8 x y z + 1/2 x y z + 1/4 x y z + + 3 3 2 2 3 3 3 3 3 3 2 2 2 + - 1/8 x y z - 1/4 x y z + 1/8 x y z + 1/8 x y z - 1/2 x y z + + 2 3 2 3 2 2 3 2 3 3 2 3 3 + + 1/4 x y z + 1/4 x y z - 1/4 x y z + 1/8 x y z - 1/4 x y z + + 2 2 3 3 3 3 2 + - 1/8 x y z , COEFF(0, -1, 2) = 1/2 y z - 1/4 y z + 1/4 y z + + 3 2 2 3 3 2 3 3 2 2 + + 3/8 x y z + 1/4 y z + 3/8 x y z - 1/4 y z - 3/4 x y z + + 2 3 2 2 2 2 3 2 3 2 2 2 3 3 + - 5/8 x y z + 5/4 x y z + 3/4 x y z - 5/8 x y z + 5/8 x y z + + 2 3 2 2 3 3 3 3 3 2 2 3 + + 5/8 x y z - 1/2 y z - 3/8 x y z - 3/8 x y z - 5/4 x y z , + + 3 2 3 3 2 3 2 3 3 3 + COEFF(1, -1, 2) = 1/8 x y z - 3/8 x y z - 3/8 x y z + 3/8 x y z + + 3 2 2 3 3 2 2 3 2 3 3 3 2 3 + + 3/4 x y z + 3/8 x y z + x y z - 1/2 x y z - 3/4 x y z + + 2 2 2 3 2 2 3 2 2 2 3 3 + - 1/4 x y z + 1/2 x y z + 1/4 x y z - x y z - 1/8 x y z + + 2 2 3 2 3 2 + + 1/2 x y z - 1/8 x y z - 1/2 x y z + 1/8 x y z , COEFF(2, -1, 2) = + + 2 3 2 2 2 2 3 2 3 3 2 3 2 2 + - 1/8 x y z + 1/4 x y z + 1/4 x y z + 1/8 x y z - 1/4 x y z + + 2 3 2 3 3 3 3 3 3 2 2 2 3 + + 1/8 x y z + 1/8 x y z - 1/8 x y z + 1/8 x y z - 1/4 x y z + + 3 3 3 2 2 3 3 2 3 2 + - 1/8 x y z - 1/8 x y z , COEFF(-1, 0, 2) = 3/8 x y z + 1/4 x z + + 2 2 3 2 3 2 2 2 2 2 2 2 + - 5/4 x y z + 5/8 x y z + 5/4 x y z - 5/8 x y z - 1/2 x z + + 3 2 3 2 3 3 2 3 3 3 2 + - 1/4 x z + 1/2 x z + 3/4 x y z + 1/4 x z - 1/4 x z + 3/8 x y z + + 2 3 2 3 3 3 2 3 3 3 3 3 2 2 + - 3/4 x y z - 3/8 x y z + 5/8 x y z - 3/8 x y z - 5/8 x y z , + + 3 3 3 2 2 2 2 3 2 2 3 + COEFF(0, 0, 2) = 9/8 x y z - 25/8 x y z - 5/4 x z + 25/8 x y z + + 3 2 2 3 2 3 3 2 3 2 2 + - 3/4 x z + 15/8 x y z + 3/4 x z - 5/4 y z + 5/4 x z + + 3 2 3 2 2 3 3 2 2 3 3 2 2 + - 3/4 y z + 15/8 x y z - 9/8 x y z - 15/8 x y z + 5/4 y z + + 2 3 3 2 3 3 3 + - 1/2 z + 1/2 z - 15/8 x y z + 3/4 y z , COEFF(1, 0, 2) = + + 3 2 2 3 3 3 2 3 + - 3/8 x y z - 5/8 x y z + 3/8 x y z - 1/4 x z + 1/4 x z + + 2 3 3 3 3 3 3 2 3 2 2 2 + + 3/2 x y z - 9/8 x y z + 15/8 x y z + 5/2 x y z + + 2 2 3 2 2 2 2 3 3 3 2 2 3 + - 5/2 x y z - x z + 5/8 x y z - 3/4 x z + 3/4 x z + x z + + 3 2 2 2 3 2 3 3 2 + - 15/8 x y z - 3/2 x y z + 9/8 x y z , COEFF(2, 0, 2) = + + 3 3 2 3 3 3 3 2 2 2 3 3 2 3 2 + - 3/8 x y z + 3/8 x y z + 5/8 x y z - 3/8 x y z + 3/8 x y z + + 3 2 3 2 2 2 2 2 3 3 2 3 + - 5/8 x y z - 5/8 x y z + 1/4 x z + 1/4 x z - 1/4 x z + + 3 2 2 2 3 3 2 3 3 + - 1/4 x z + 5/8 x y z , COEFF(-1, 1, 2) = 1/8 x y z - 1/8 x y z + + 2 2 2 3 3 2 2 2 3 3 3 + - 1/4 x y z + 1/4 x y z - 3/8 x y z + 1/2 x y z + 3/8 x y z + + 2 2 3 3 3 2 2 2 3 2 3 + + 1/8 x y z - 1/2 x y z + 3/8 x y z - x y z - 1/2 x y z + + 3 3 2 2 2 3 2 3 2 2 3 3 3 2 2 + - 3/8 x y z + x y z + 3/4 x y z - 3/4 x y z + 1/2 x y z + + 3 3 3 2 3 3 2 2 + - 1/8 x y z , COEFF(0, 1, 2) = 9/8 x y z + 3/8 x y z - y z + + 2 2 2 3 3 3 3 3 3 3 2 3 2 + + 5/8 x y z + y z - 9/8 x y z - 3/4 y z + 3/2 x y z - 1/4 y z + + 3 2 3 2 2 2 2 2 3 2 3 3 + + 3/4 y z - 3/8 x y z + 5/2 x y z - 5/8 x y z + 15/8 x y z + + 3 3 2 2 2 2 3 2 3 2 + + 1/4 y z - 3/2 x y z - 5/2 x y z - 15/8 x y z , COEFF(1, 1, 2) + + 2 3 3 3 3 3 2 2 2 3 2 + = 1/2 x y z - 3/8 x y z - 9/8 x y z - 1/2 x y z + 3/8 x y z + + 2 3 3 2 3 3 2 2 3 + + 1/2 x y z + 1/8 x y z - 1/8 x y z - 3/8 x y z + 2 x y z + + 3 2 3 2 3 2 2 2 2 2 2 3 2 + + 3/8 x y z - 3/2 x y z - 1/2 x y z - 2 x y z + 3/2 x y z + + 2 3 3 3 3 3 3 2 2 + - 3/2 x y z + 9/8 x y z + 3/2 x y z , COEFF(2, 1, 2) = + + 2 3 3 3 2 3 2 3 2 2 2 + - 1/8 x y z + 1/8 x y z - 3/8 x y z - 1/8 x y z + 1/8 x y z + + 3 3 3 2 2 3 3 2 2 2 3 3 2 2 2 + - 3/8 x y z - 1/2 x y z - 1/2 x y z + 3/8 x y z + 1/2 x y z + + 3 2 3 3 3 2 3 2 2 + + 1/2 x y z + 3/8 x y z , COEFF(-1, 2, 2) = - 1/8 x y z + + 3 2 3 3 2 2 2 3 2 2 2 2 3 2 + + 1/8 x y z + 1/8 x y z - 1/4 x y z + 1/4 x y z - 1/4 x y z + + 3 3 2 3 3 3 2 3 2 2 3 3 3 + - 1/8 x y z + 1/4 x y z + 1/8 x y z - 1/8 x y z - 1/8 x y z + + 2 3 2 2 3 2 2 2 2 3 3 + + 1/8 x y z , COEFF(0, 2, 2) = 5/8 x y z - 5/8 x y z - 5/8 x y z + + 2 3 2 2 2 3 2 2 3 3 2 3 2 + + 5/8 x y z + 1/4 y z + 3/8 x y z - 3/8 x y z - 1/4 y z + + 3 3 3 2 3 3 3 3 2 3 + + 3/8 x y z - 1/4 y z + 1/4 y z - 3/8 x y z , COEFF(1, 2, 2) = + + 3 2 2 2 2 3 2 2 2 3 3 2 3 2 + - 1/8 x y z + 1/2 x y z - 3/8 x y z + 1/2 x y z - 1/2 x y z + + 3 3 2 3 3 3 3 3 2 2 2 2 3 + + 3/8 x y z - 3/8 x y z + 1/8 x y z + 1/8 x y z - 1/2 x y z + + 3 2 3 2 3 3 3 2 + + 3/8 x y z - 1/8 x y z , COEFF(2, 2, 2) = - 1/8 x y z + + 2 2 2 2 2 3 3 2 3 2 3 3 3 2 2 + - 1/8 x y z + 1/8 x y z - 1/8 x y z - 1/8 x y z + 1/8 x y z + + 3 3 3 2 3 2 + + 1/8 x y z + 1/8 x y z ] + +> print_coeff__lc_of_data(%, "coeff_I_", "fp", +> "3d.coeffs/3d.cube.order2/coeff-I.compute.c"); +bytes used=67622444, alloc=6814496, time=5.86 +bytes used=68622672, alloc=6814496, time=5.93 +bytes used=69622828, alloc=6814496, time=5.99 +bytes used=70622984, alloc=6814496, time=6.07 +bytes used=71623376, alloc=6814496, time=6.14 +bytes used=72623616, alloc=6814496, time=6.21 +bytes used=73623772, alloc=6814496, time=6.28 +bytes used=74623928, alloc=6814496, time=6.37 +bytes used=75624160, alloc=6814496, time=6.47 +bytes used=76624488, alloc=6814496, time=6.56 +bytes used=77624652, alloc=6814496, time=6.65 +bytes used=78624884, alloc=6814496, time=6.74 +bytes used=79625068, alloc=6814496, time=6.82 +bytes used=80625292, alloc=6814496, time=6.91 +bytes used=81625472, alloc=6814496, time=6.99 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alloc=6814496, time=45.80 +bytes used=454729304, alloc=6814496, time=45.87 +bytes used=455729676, alloc=6814496, time=45.95 +bytes used=456729932, alloc=6814496, time=46.02 +bytes used=457730456, alloc=6814496, time=46.09 +bytes used=458730788, alloc=6814496, time=46.16 +bytes used=459730980, alloc=6814496, time=46.24 +bytes used=460731200, alloc=6814496, time=46.32 +bytes used=461731604, alloc=6814496, time=46.54 +bytes used=462731896, alloc=6814496, time=46.80 +bytes used=463732080, alloc=6814496, time=47.05 +bytes used=464732252, alloc=6814496, time=47.20 +bytes used=465732452, alloc=6814496, time=47.34 +bytes used=466732676, alloc=6814496, time=47.48 +bytes used=467732900, alloc=6814496, time=47.63 +bytes used=468733148, alloc=6814496, time=47.79 +bytes used=469733372, alloc=6814496, time=47.96 +bytes used=470733544, alloc=6814496, time=48.10 +bytes used=471733800, alloc=6814496, time=48.23 +bytes used=472736216, alloc=6814496, time=48.35 +bytes used=473736464, alloc=6814496, time=48.48 +bytes used=474737252, alloc=6814496, time=49.63 +bytes used=475738172, alloc=6814496, time=49.87 +bytes used=476739152, alloc=6814496, time=50.12 +bytes used=477739604, alloc=6814496, time=50.21 +bytes used=478739908, alloc=6814496, time=50.27 +bytes used=479740072, alloc=6814496, time=50.38 +bytes used=480740268, alloc=6814496, time=50.50 +bytes used=481740432, alloc=6814496, time=50.66 +bytes used=482740584, alloc=6814496, time=50.77 +> +# d/dx +> simplify( diff(interp_3d_cube_order2,x) ); +bytes used=483740884, alloc=6814496, time=50.87 +bytes used=484741680, alloc=6814496, time=50.94 +bytes used=485741964, alloc=6814496, time=51.02 +bytes used=486742168, alloc=6814496, time=51.10 +bytes used=487743108, alloc=6814496, time=51.17 +bytes used=488743276, alloc=6814496, time=51.25 +bytes used=490234352, alloc=6814496, time=51.36 +bytes used=491329872, alloc=6814496, time=51.44 +bytes used=492330008, alloc=6814496, time=51.52 +bytes used=493330340, alloc=6814496, time=51.61 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1/8 y z DATA(1, -1, 1) - 2 x y DATA(1, 2, 0) + 3/8 y z DATA(1, 1, -1) + + 2 2 + + 5/2 x y DATA(0, 2, 0) + 3/4 x z DATA(2, 0, 1) + + 2 2 2 2 + - 3/2 x y DATA(-1, -1, 0) - 3 x y DATA(-1, 1, 0) + + 3 2 2 + - x y DATA(-1, -1, 0) + 3/4 x y DATA(-1, 2, 0) + + 2 2 2 2 + + 3/2 x y DATA(2, -1, 0) + 15/4 x y DATA(-1, 0, 0) + + 3 2 2 + + 6 x y DATA(1, 0, 0) + 9/4 x y DATA(1, 2, 0) + + 3 3 + + 3/8 y z DATA(-1, 0, -1) - 6 x y DATA(1, 1, 0) + + 2 2 2 + - 9/2 x y DATA(1, -1, 0) + 4 x y DATA(1, -1, 0) + + 3 2 + + 1/2 x y DATA(2, -1, 0) - 3/4 x z DATA(2, 0, -1) + + 3 3 3 + - 3/8 y z DATA(1, 1, 1) - 15/2 x y DATA(0, 0, 0) + x y DATA(-1, 2, 0) + + 2 2 + - 3/4 x z DATA(-1, 0, 1) - 5 x y DATA(-1, 0, 0) + + 3 3 2 + - 3/8 y z DATA(-1, 1, -1) - 3 x y DATA(-1, 1, 0) + 4 x y DATA(-1, 1, 0) + + 3 2 3 + + 3/8 y z DATA(-1, 1, 1) - 10 x y DATA(1, 0, 0) - 2 x y DATA(1, -1, 0) + + 2 2 3 + - 45/4 x y DATA(0, 0, 0) + 3 x y DATA(-1, 0, 0) + + 3 3 + - 5/2 x y DATA(0, 2, 0) + 1/8 y z DATA(-1, -1, 1) + + 3 3 + - 1/8 y z DATA(-1, -1, -1) + 3/2 x y DATA(2, 1, 0) + + 3 3 2 2 + - 3/2 x y DATA(2, 0, 0) + 2 x y DATA(1, 2, 0) + 45/4 x y DATA(1, 0, 0) + + 2 2 2 + - 9 x y DATA(1, 1, 0) + 1/2 x y DATA(2, 2, 0) + + 2 2 3 + + 9/2 x y DATA(0, -1, 0) + 3/8 y z DATA(1, 0, 1) + + 3 3 + - 1/8 y z DATA(1, 2, -1) - 3/8 y z DATA(1, 0, -1) + + 3 3 + - 1/8 y z DATA(-1, 2, 1) - 3/8 y z DATA(-1, 0, 1) + + 3 2 2 + + 1/8 y z DATA(-1, 2, -1) - 3/4 x y DATA(2, 2, 0) + + 2 2 2 + + 3 x y DATA(2, 1, 0) + 9/4 x z DATA(1, 0, -1) + + 3 3 3 3 + + 3/8 y z DATA(-1, -1, 0) + 3/8 y z DATA(-1, 0, -1) + + 3 3 2 + + 9/8 y z DATA(-1, 0, 1) - x y DATA(-1, 2, 0) + + 3 3 + - 9/8 y z DATA(-1, 0, 0) + +> coeff_as_lc_of_data(%, posn_list_3d_size4); +bytes used=504476808, alloc=6814496, time=52.53 +bytes used=505476988, alloc=6814496, time=52.61 +bytes used=506537972, alloc=6814496, time=52.70 +bytes used=507687068, alloc=6814496, time=52.80 +bytes used=508735656, alloc=6814496, time=52.89 +bytes used=509779016, alloc=6814496, time=52.98 +bytes used=510779340, alloc=6814496, time=53.08 +bytes used=511821196, alloc=6814496, time=53.18 +bytes used=512838820, alloc=7011068, time=53.27 +bytes used=513838948, alloc=7273164, time=53.36 +bytes used=514896320, alloc=7469736, time=53.47 +bytes used=515912636, alloc=7928404, time=53.57 +bytes used=516927904, alloc=8387072, time=53.68 +bytes used=517961028, alloc=8976788, time=53.75 +bytes used=519004464, alloc=8976788, time=53.81 +bytes used=520047676, alloc=8976788, time=53.87 + 2 2 2 3 3 2 3 +[COEFF(-1, -1, -1) = 1/4 y z - 1/8 y z - 1/2 y z - 1/8 y z + 1/4 y z + + 3 2 3 3 2 2 3 2 2 2 + + 1/4 y z - 1/8 y z - 1/8 y z + 1/4 y z + 3/4 x y z + 2 x y z + + 3 2 2 2 3 3 2 3 2 2 3 + - x y z + 1/2 x y z - 3/8 x y z - 3/8 x y z - x y z + 3/4 x y z + + 3 2 3 2 2 2 3 + + 1/2 x y z - 3/8 x y z - x y z + 3/4 x y z + 1/2 x y z + + 2 2 3 3 2 2 3 2 2 2 + + 3/4 x y z + 1/2 x y z - x y z - 3/8 x y z - 3/2 x y z , + + 2 3 2 3 2 3 3 3 + COEFF(0, -1, -1) = 9/8 x y z - 9/4 x y z - 5/4 x y z - 5/4 x y z + + 3 2 2 2 3 3 2 2 + + 5/2 x y z - 5/4 x y z - 9/4 x y z - 5/4 x y z - 9/4 x y z + + 2 2 2 2 2 2 2 3 2 3 3 + - 5 x y z + 9/2 x y z + 9/8 x y z + 5/2 x y z + 9/8 x y z + + 2 3 2 2 2 2 + + 9/8 x y z + 5/2 x y z + 5/2 x y z - 9/4 x y z , COEFF(1, -1, -1) = + + 2 2 2 3 3 2 3 3 2 + - 1/4 y z + 1/8 y z + 1/2 y z + 1/8 y z - 1/4 y z - 1/4 y z + + 3 3 2 2 3 2 2 2 3 2 + + 1/8 y z + 1/8 y z - 1/4 y z + 9/4 x y z + 4 x y z - 2 x y z + + 2 2 3 3 2 3 2 2 3 3 + + x y z - 9/8 x y z - 9/8 x y z - 2 x y z + 9/4 x y z + x y z + + 2 3 2 2 2 3 2 2 3 3 + - 9/8 x y z - 2 x y z + 9/4 x y z + x y z + 9/4 x y z + x y z + + 2 2 3 2 2 2 2 3 3 + - 2 x y z - 9/8 x y z - 9/2 x y z , COEFF(2, -1, -1) = 3/8 x y z + + 3 3 2 2 2 3 2 2 2 + - 1/4 x y z - 1/4 x y z - x y z + 3/8 x y z + 3/2 x y z + + 2 3 2 3 2 2 3 + + 1/2 x y z - 1/4 x y z - 3/4 x y z + 1/2 x y z - 1/4 x y z + + 2 3 2 2 2 2 3 3 2 2 + + 1/2 x y z - 3/4 x y z - 3/4 x y z + 1/2 x y z + 3/8 x y z + + 2 3 2 2 2 2 2 + + 3/8 x y z - 3/4 x y z, COEFF(-1, 0, -1) = 3/4 x z - x z + 5/4 y z + + 3 3 2 3 3 2 3 2 2 + + 3/8 y z - 5/8 y z - 3/4 y z + 3/8 y z - 5/8 y z + 1/4 z + 2 x z + + 2 2 2 3 3 2 3 2 3 2 + - 1/2 z - 3/2 x z + 1/4 z - x z + 3/4 x z - 9/4 x y z + + 2 2 3 2 2 3 3 2 3 2 2 3 + - 5 x y z + 3 x y z + 9/8 x y z + 5/2 x y z - 15/8 x y z + + 2 2 2 3 3 3 2 3 + + 5/2 x y z - 15/8 x y z - 3/2 x y z - 3/2 x y z + 9/8 x y z + + 2 2 2 2 3 2 3 2 2 + + 15/4 x y z , COEFF(0, 0, -1) = - 9/4 x z + 27/4 x y z - 5 x z + + 3 2 3 2 3 3 3 3 + + 5/2 x z - 27/8 x y z + 5/2 x z - 27/8 x y z + 15/4 x y z + + 2 3 2 2 3 2 2 2 2 2 2 + - 25/4 x y z + 25/2 x y z - 15/2 x y z - 45/4 x y z + 9/2 x z + + 3 2 2 2 2 2 3 2 + + 15/4 x y z - 9/4 x z + 45/8 x y z + 45/8 x y z - 25/4 x y z, + + 2 2 2 3 3 2 3 + COEFF(1, 0, -1) = 9/4 x z - 2 x z - 5/4 y z - 3/8 y z + 5/8 y z + + 3 2 3 2 2 2 2 2 + + 3/4 y z - 3/8 y z + 5/8 y z - 1/4 z + 4 x z + 1/2 z - 9/2 x z + + 3 3 2 3 2 3 2 2 2 3 2 + - 1/4 z - 2 x z + 9/4 x z - 27/4 x y z - 10 x y z + 6 x y z + + 2 3 3 2 3 2 2 3 2 2 2 + + 27/8 x y z + 5 x y z - 45/8 x y z + 5 x y z - 45/8 x y z + + 3 3 3 2 3 2 2 2 + - 3 x y z - 3 x y z + 27/8 x y z + 45/4 x y z , COEFF(2, 0, -1) = + + 2 2 2 2 2 2 2 2 + -x z + 1/2 x z + 15/8 x y z + 3/2 x z - 5/4 x y z + 5/2 x y z + + 2 3 3 2 2 2 3 2 2 3 2 3 2 + - 9/8 x y z - 15/4 x y z + 1/2 x z + 15/8 x y z + 9/4 x y z + + 2 2 3 3 2 3 2 3 + - 3/4 x z - 9/8 x y z - 3/2 x y z + 3/4 x y z - 3/4 x z + + 3 3 2 3 2 + + 3/4 x y z - 5/4 x y z , COEFF(-1, 1, -1) = - 1/4 y z + 1/8 y z + + 2 2 3 3 2 3 3 2 3 3 + - y z - 3/8 y z + 1/2 y z + 3/4 y z + 1/8 y z - 3/8 y z + + 2 2 3 2 2 2 3 2 2 + + 1/2 y z + 9/4 x y z + 4 x y z - 3 x y z - 1/2 x y z + 3/8 x y z + + 2 3 3 2 3 2 2 3 3 2 3 + - 9/8 x y z - 2 x y z + 3/2 x y z - 1/2 x y z + 3/8 x y z + + 2 2 2 3 2 2 3 3 2 + - 2 x y z + 3/2 x y z + 3/2 x y z - 3/4 x y z + 3/2 x y z + x y z + + 2 3 2 2 2 3 3 3 + - 9/8 x y z - 3 x y z , COEFF(0, 1, -1) = - 15/4 x y z - 15/4 x y z + + 2 2 3 2 2 3 2 2 + - 9/8 x y z + 5/4 x y z + 27/8 x y z - 9/2 x y z - 10 x y z + + 2 3 2 2 2 2 2 2 2 2 3 + - 27/4 x y z - 9/2 x y z + 9 x y z + 9/4 x y z + 5/4 x y z + + 3 2 2 3 2 2 2 3 3 + + 15/2 x y z + 5 x y z - 5/2 x y z + 5 x y z + 27/8 x y z + + 2 3 2 2 2 3 3 + - 9/8 x y z , COEFF(1, 1, -1) = 1/4 y z - 1/8 y z + y z + 3/8 y z + + 2 3 3 2 3 3 2 2 3 2 + - 1/2 y z - 3/4 y z - 1/8 y z + 3/8 y z - 1/2 y z + 27/4 x y z + + 2 2 3 2 2 2 3 3 2 3 + + 8 x y z - 6 x y z - x y z + 9/8 x y z - 27/8 x y z - 4 x y z + + 2 2 3 3 2 3 2 2 2 3 + + 9/2 x y z - x y z + 9/8 x y z - 4 x y z + 9/2 x y z + 3 x y z + + 2 2 3 3 2 2 3 2 2 2 + - 9/4 x y z + 3 x y z + 2 x y z - 27/8 x y z - 9 x y z , + + 2 3 2 + COEFF(2, 1, -1) = - 1/2 x y z - 3/4 x y z + x y z + 1/4 x y z + + 2 3 3 2 2 2 2 2 3 2 2 3 + - 3/8 x y z + 3/2 x y z + 3 x y z - 9/4 x y z + 9/8 x y z + + 2 2 3 3 2 2 2 3 + + 3/4 x y z - 3/4 x y z - 3/2 x y z - 3/8 x y z + 1/4 x y z + + 2 2 2 2 3 2 3 3 2 3 + - 2 x y z - 3/2 x y z + 9/8 x y z + x y z , COEFF(-1, 2, -1) = + + 2 2 2 3 3 3 2 2 3 3 3 2 + -x y z + 3/8 x y z - 1/2 x y z + 1/4 y z + 1/8 y z - 1/4 y z + + 2 3 2 2 2 3 2 2 3 2 + - 3/4 x y z - 3/8 x y z - 1/8 y z + 1/2 x y z + x y z + + 2 3 3 2 2 2 3 2 3 2 2 + + 3/8 x y z + 3/4 x y z + 1/8 y z - 1/8 y z - 3/8 x y z + + 3 2 3 3 2 2 2 3 + - 1/2 x y z + 1/2 x y z , COEFF(0, 2, -1) = - 5/2 x y z + 9/8 x y z + + 2 3 3 2 3 2 3 2 2 3 3 3 + - 9/8 x y z - 5/4 x y z + 9/4 x y z - 9/8 x y z + 5/4 x y z + + 2 2 2 3 2 2 2 2 2 + + 9/8 x y z - 5/4 x y z + 5/4 x y z + 5/2 x y z - 9/4 x y z , + + 2 3 3 3 2 2 3 2 3 3 + COEFF(1, 2, -1) = 9/8 x y z - 1/8 y z - 9/8 x y z + 9/8 x y z + + 2 3 2 2 3 3 2 2 2 3 3 3 + - 9/4 x y z + 1/8 y z + 1/4 y z - 1/4 y z - 1/8 y z - x y z + + 2 3 3 2 2 2 2 2 3 2 + + x y z - x y z - 9/8 x y z + x y z - 2 x y z + 2 x y z + + 2 2 2 2 3 2 3 + + 1/8 y z + 9/4 x y z , COEFF(2, 2, -1) = 1/4 x y z - 1/4 x y z + + 2 3 2 3 3 2 2 2 3 3 2 2 + - 3/8 x y z - 3/8 x y z - 3/4 x y z + 1/4 x y z + 1/2 x y z + + 2 3 2 3 2 2 2 2 3 2 2 + + 3/4 x y z - 1/2 x y z - 1/4 x y z + 3/8 x y z + 3/8 x y z, + + 2 2 2 3 3 2 3 + COEFF(-1, -1, 0) = - 5/8 y z + 5/4 y z + 3/8 y z - 3/4 y z + + 3 2 3 2 2 2 3 2 + - 5/8 y z + 3/8 y z + 1/4 y - 1/2 y + 3/4 x y - 15/8 x y z + + 2 2 3 2 3 2 2 3 2 3 + - 5 x y z + 1/4 y + 3/4 x y - 3/2 x y + 5/2 x y z - x y + + 2 3 3 2 3 2 2 3 3 2 3 + + 9/8 x y z + 3 x y z - 9/4 x y z - 3/2 x y z + 9/8 x y z + + 2 2 3 3 2 2 2 2 2 + - 15/8 x y z - 3/2 x y z + 5/2 x y z + 15/4 x y z + 2 x y - x y, + + 2 3 2 3 3 3 2 3 2 + COEFF(0, -1, 0) = - 27/8 x y z - 9/4 x y + 15/4 x y z + 45/8 x y z + + 2 2 3 2 2 3 3 2 2 3 + + 25/2 x y z + 5/2 x y + 27/4 x y z - 25/4 x y z - 15/2 x y z + + 2 2 2 2 2 3 3 3 + + 5/2 x y + 45/8 x y z + 9/2 x y - 27/8 x y z + 15/4 x y z + + 2 2 2 2 2 2 + - 45/4 x y z - 5 x y - 9/4 x y - 25/4 x y z , COEFF(1, -1, 0) = + + 2 2 2 3 3 2 3 3 2 3 + 5/8 y z - 5/4 y z - 3/8 y z + 3/4 y z + 5/8 y z - 3/8 y z - 1/4 y + + 2 2 2 3 2 2 2 3 2 3 + + 1/2 y + 9/4 x y - 45/8 x y z - 10 x y z - 1/4 y + 9/4 x y + + 2 2 3 2 3 2 3 3 2 3 + - 9/2 x y + 5 x y z - 2 x y + 27/8 x y z + 6 x y z + + 2 2 3 3 2 3 2 2 3 3 + - 27/4 x y z - 3 x y z + 27/8 x y z - 45/8 x y z - 3 x y z + + 2 2 2 2 2 + + 5 x y z + 45/4 x y z + 4 x y - 2 x y, COEFF(2, -1, 0) = + + 2 2 3 2 3 3 2 3 3 + 9/4 x y z + 1/2 x y - 9/8 x y z + 1/2 x y - 3/4 x y + 3/4 x y z + + 2 3 2 3 2 2 2 2 2 3 2 + - 3/4 x y - 3/2 x y z - 15/4 x y z + 5/2 x y z - 5/4 x y z + + 2 3 3 2 3 2 2 2 2 2 + - 9/8 x y z + 15/8 x y z - x y - 5/4 x y z + 3/2 x y + + 2 2 3 2 2 + + 15/8 x y z + 3/4 x y z , COEFF(-1, 0, 0) = 2 x - 25/8 y z + + 3 3 2 3 3 2 2 2 2 2 + - 9/8 y z + 15/8 y z + 15/8 y z - 1/2 - 5 x z + 5/4 z + 15/4 x z + + 3 3 2 3 2 2 2 3 2 + - 3/4 z + 3 x z - 9/4 x z - 3/2 x + 5/4 y + 45/8 x y z + + 2 2 3 2 3 2 2 3 2 3 + + 25/2 x y z - 3/4 y - 9/4 x y + 15/4 x y - 15/2 x y z + 3 x y + + 2 3 3 2 3 2 2 3 3 3 + - 27/8 x y z - 15/2 x y z + 45/8 x y z + 9/2 x y z + + 2 2 2 2 2 2 2 2 3 + - 75/8 x y z - 5 x y , COEFF(0, 0, 0) = 225/8 x y z + 27/4 x z + + 3 3 2 2 2 2 2 2 + - 45/4 x y z - 125/4 x y z + 25/2 x z - 45/4 x z + 9/2 x - 5 x + + 2 3 2 2 3 3 2 3 3 3 2 + - 135/8 x y z + 27/4 x y - 15/2 x y + 81/8 x y z + 75/4 x y z + + 2 3 2 3 2 2 2 2 3 + + 75/4 x y z + 25/2 x y - 15/2 x z - 45/4 x y - 135/8 x y z , + + 2 2 3 3 2 3 + COEFF(1, 0, 0) = 1/2 + 4 x + 25/8 y z + 9/8 y z - 15/8 y z + + 3 2 2 2 2 2 3 3 + - 15/8 y z - 10 x z - 5/4 z + 45/4 x z + 3/4 z + 6 x z + + 2 3 2 2 2 3 2 2 2 3 + - 27/4 x z - 9/2 x - 5/4 y + 135/8 x y z + 25 x y z + 3/4 y + + 2 3 2 2 3 2 3 2 3 3 + - 27/4 x y + 45/4 x y - 15 x y z + 6 x y - 81/8 x y z + + 2 3 2 2 3 3 3 2 2 2 2 + - 15 x y z + 135/8 x y z + 9 x y z - 225/8 x y z - 10 x y , + + 2 2 3 3 2 2 2 + COEFF(2, 0, 0) = 3/2 x + 15/4 x y z + 15/4 x y z - 15/4 x z + + 2 2 2 2 2 2 2 2 2 + + 75/8 x y z + 5/2 x z + 5/2 x y - 25/4 x y z - 15/4 x y + + 3 3 2 2 3 2 3 3 3 2 3 + - 9/4 x y z - 45/8 x y z + 27/8 x y z - 3/2 x y + 9/4 x y + + 3 2 3 2 2 3 2 + - 3/2 x z - 45/8 x y z + 9/4 x z - x, COEFF(-1, 1, 0) = 5/8 y z + + 2 2 3 3 2 3 3 2 3 2 + + 5/2 y z + 9/8 y z - 3/2 y z - 15/8 y z - 3/8 y z - 1/4 y - y + + 2 2 3 2 2 2 3 2 3 2 2 + - 3/4 x y - 45/8 x y z - 10 x y z + 3/4 y + 9/4 x y - 3 x y + + 3 2 3 2 3 3 2 3 2 2 3 + + 15/2 x y z - 3 x y + 27/8 x y z + 6 x y z - 9/2 x y z + + 3 2 3 2 2 3 3 2 + + 3/2 x y z - 9/8 x y z + 15/8 x y z - 9/2 x y z - 5/2 x y z + + 2 2 2 2 2 3 2 2 + + 15/2 x y z + 4 x y + x y, COEFF(0, 1, 0) = - 27/4 x y + 25 x y z + + 2 3 3 3 2 3 2 2 2 2 3 + - 15 x y z + 45/4 x y z + 135/8 x y z - 45/8 x y z + 27/8 x y z + + 2 2 3 2 2 3 2 2 3 + + 9 x y - 75/4 x y z + 9/4 x y + 15/2 x y + 27/2 x y z + + 2 2 2 2 2 3 + - 45/2 x y z - 10 x y - 5/2 x y + 25/4 x y z - 15/4 x y z + + 2 3 3 2 2 2 3 3 + - 81/8 x y z , COEFF(1, 1, 0) = - 5/8 y z - 5/2 y z - 9/8 y z + + 2 3 3 2 3 2 2 + + 3/2 y z + 15/8 y z + 3/8 y z + 1/4 y + y - 9/4 x y + + 2 3 2 2 2 3 2 3 2 2 3 2 + - 135/8 x y z - 20 x y z - 3/4 y + 27/4 x y - 9 x y + 15 x y z + + 3 2 3 3 2 3 2 2 3 3 + - 6 x y + 81/8 x y z + 12 x y z - 27/2 x y z + 3 x y z + + 2 3 2 2 3 3 2 2 2 2 + - 27/8 x y z + 45/8 x y z - 9 x y z - 5 x y z + 45/2 x y z + + 2 2 3 2 2 + + 8 x y + 2 x y, COEFF(2, 1, 0) = - 9/4 x y - 15/8 x y z + + 3 3 3 2 2 3 2 2 2 2 2 2 + + 9/4 x y z - 15/4 x y z + 45/8 x y z + 5 x y z - 15/2 x y z + + 2 2 3 3 2 3 2 3 3 3 + + 9/2 x y z + 3/2 x y + 9/8 x y z - 27/8 x y z - 3/4 x y z + + 2 2 2 2 2 3 2 + - 2 x y + 3 x y + 5/4 x y z - 1/2 x y - 3 x y z + 3/4 x y, + + 2 3 2 2 2 3 2 2 + COEFF(-1, 2, 0) = 3/8 y z - 15/8 x y z + 5/8 y z + 1/4 y + + 3 2 3 3 2 2 3 2 2 2 3 3 + - 5/2 x y z - 3/8 y z + 9/8 x y z + 3/4 x y - 3/4 x y + x y + + 3 3 2 3 3 2 2 2 2 2 3 2 + + 3/2 x y z - 9/8 x y z + 5/2 x y z - 5/8 y z + 15/8 x y z + + 2 3 2 3 3 2 2 + - 3/2 x y z - x y - 1/4 y , COEFF(0, 2, 0) = 25/4 x y z + 5/2 x y + + 2 2 2 2 2 2 3 2 3 3 3 3 + - 9/4 x y + 45/8 x y z + 9/4 x y + 27/8 x y z - 15/4 x y z + + 2 2 3 2 2 3 2 3 2 3 2 + - 25/4 x y z - 5/2 x y - 27/8 x y z + 15/4 x y z - 45/8 x y z , + + 2 2 2 3 2 3 3 2 + COEFF(1, 2, 0) = 5/8 y z - 3 x y z - 9/4 x y - 5 x y z + + 2 3 3 3 2 2 2 3 3 2 2 3 + - 27/8 x y z - 5/8 y z + 9/4 x y + 3/8 y z + 27/8 x y z + + 2 2 2 3 2 3 2 2 2 2 + - 2 x y + 5 x y z + 2 x y - 3/8 y z - 1/4 y - 45/8 x y z + + 3 2 3 2 3 3 3 3 + + 1/4 y + 45/8 x y z + 3 x y z , COEFF(2, 2, 0) = - 3/4 x y z + + 2 3 3 2 2 3 2 2 2 2 2 3 + + 9/8 x y z - 9/8 x y z - 5/4 x y z + 15/8 x y z - 1/2 x y + + 2 2 3 2 3 2 2 2 3 2 + + 1/2 x y + 3/4 x y z - 15/8 x y z - 3/4 x y + 5/4 x y z + + 2 3 2 2 2 3 3 + + 3/4 x y , COEFF(-1, -1, 1) = 1/2 y z + 1/8 y z - y z - 3/8 y z + + 2 3 3 2 3 3 2 2 3 2 + + 3/4 y z + 1/2 y z - 3/8 y z + 1/8 y z - 1/4 y z + 3/2 x y z + + 2 2 3 2 2 2 3 3 + + 4 x y z - 2 x y z - 1/2 x y z + 3/8 x y z - 9/8 x y z + + 2 3 2 2 3 3 2 3 2 + - 3 x y z + 9/4 x y z + 3/2 x y z - 9/8 x y z + x y z + + 2 2 3 2 2 3 3 2 + - 3/4 x y z - 1/2 x y z + 3/2 x y z + 3/2 x y z - 2 x y z + + 2 3 2 2 2 2 3 + + 3/8 x y z - 3 x y z , COEFF(0, -1, 1) = - 9/8 x y z + + 2 2 3 2 2 2 2 3 + - 27/4 x y z + 5 x y z + 9/4 x y z + 27/8 x y z + 5/4 x y z + + 2 2 2 2 2 3 2 3 3 + - 9/8 x y z - 5/2 x y z - 10 x y z + 15/2 x y z + 27/8 x y z + + 3 3 2 3 2 3 3 2 2 2 2 + - 15/4 x y z - 9/2 x y z - 15/4 x y z + 5 x y z + 9 x y z + + 2 2 3 2 2 2 + - 9/2 x y z + 5/4 x y z, COEFF(1, -1, 1) = - 1/2 y z - 1/8 y z + y z + + 3 3 2 3 3 2 3 3 2 + + 3/8 y z - 3/4 y z - 1/2 y z + 3/8 y z - 1/8 y z + 1/4 y z + + 2 3 2 2 2 3 2 2 + + 9/2 x y z + 8 x y z - 4 x y z - x y z + 9/8 x y z + + 2 3 3 2 3 2 2 3 3 2 3 + - 27/8 x y z - 6 x y z + 27/4 x y z + 3 x y z - 27/8 x y z + + 2 2 2 3 2 2 3 3 2 + + 2 x y z - 9/4 x y z - x y z + 9/2 x y z + 3 x y z - 4 x y z + + 2 3 2 2 2 2 3 3 3 + + 9/8 x y z - 9 x y z , COEFF(2, -1, 1) = - 3/8 x y z - 3/4 x y z + + 2 2 2 3 2 2 2 2 3 2 + - 3/2 x y z + 9/8 x y z + 3 x y z + 1/4 x y z - 3/2 x y z + + 2 3 2 2 3 3 3 + + x y z + 1/4 x y z - 3/8 x y z + 9/8 x y z - 3/4 x y z + + 2 2 3 3 2 2 2 2 2 3 + - 1/2 x y z + 3/2 x y z + x y z + 3/4 x y z - 9/4 x y z + + 2 2 2 2 2 3 3 + - 2 x y z , COEFF(-1, 0, 1) = - 3/4 x z + x z + 5/2 y z + 9/8 y z + + 2 3 3 2 3 2 2 2 + - 15/8 y z - 3/2 y z - 3/8 y z + 5/8 y z - 1/4 z + 4 x z - z + + 2 2 3 3 2 3 2 3 2 2 2 + - 3 x z + 3/4 z - 3 x z + 9/4 x z - 9/2 x y z - 10 x y z + + 3 2 2 3 3 2 3 2 2 3 2 + + 6 x y z + 27/8 x y z + 15/2 x y z - 45/8 x y z - 5/2 x y z + + 2 2 3 3 3 2 3 2 2 2 + + 15/8 x y z + 3/2 x y z - 9/2 x y z - 9/8 x y z + 15/2 x y z , + + 2 2 3 2 2 2 2 2 2 + COEFF(0, 0, 1) = 25/4 x y z + 27/2 x y z - 45/8 x y z - 45/2 x y z + + 2 2 2 3 3 2 3 + - 10 x z + 25 x y z + 45/4 x y z - 5/2 x z - 27/4 x z + + 2 3 3 3 2 2 2 3 2 2 3 + - 81/8 x y z - 15 x y z + 135/8 x y z + 9 x z + 15/2 x z + + 2 3 2 2 3 3 + + 27/8 x y z + 9/4 x z - 75/4 x y z - 15/4 x y z, COEFF(1, 0, 1) = + + 2 2 2 3 3 2 3 3 2 + - 9/4 x z + 2 x z - 5/2 y z - 9/8 y z + 15/8 y z + 3/2 y z + + 3 2 2 2 2 2 3 3 + + 3/8 y z - 5/8 y z + 1/4 z + 8 x z + z - 9 x z - 3/4 z - 6 x z + + 2 3 2 3 2 2 2 3 2 2 3 3 + + 27/4 x z - 27/2 x y z - 20 x y z + 12 x y z + 81/8 x y z + + 2 3 2 2 3 2 2 2 3 + + 15 x y z - 135/8 x y z - 5 x y z + 45/8 x y z + 3 x y z + + 3 3 2 3 2 2 2 3 + - 9 x y z - 27/8 x y z + 45/2 x y z , COEFF(2, 0, 1) = - 3/4 x y z + + 2 2 2 2 3 3 3 2 2 + - 15/2 x y z + 5/4 x y z + 9/4 x y z - 3 x y z - 2 x z + + 2 3 3 2 3 2 2 2 3 2 + - 15/4 x y z + 3/2 x z + 9/8 x y z + 5 x y z + 9/2 x y z + + 2 2 2 3 2 2 2 2 3 3 + - 1/2 x z + 3 x z - 9/4 x z + 3/4 x z - 15/8 x y z - 27/8 x y z + + 2 2 3 2 2 2 + + 45/8 x y z , COEFF(-1, 1, 1) = - 1/2 y z - 1/8 y z - 2 y z + + 3 3 2 3 3 2 3 3 2 + - 9/8 y z + 3/2 y z + 3/2 y z + 3/8 y z + 3/8 y z - 1/2 y z + + 2 3 2 2 2 3 2 2 + + 9/2 x y z + 8 x y z - 6 x y z + 1/2 x y z - 3/8 x y z + + 2 3 3 2 3 2 2 3 3 2 3 + - 27/8 x y z - 6 x y z + 9/2 x y z - 3/2 x y z + 9/8 x y z + + 2 2 2 3 2 2 3 3 + + 2 x y z - 3/2 x y z - 3/2 x y z - 3/2 x y z + 9/2 x y z + + 2 2 3 2 2 2 3 3 + + 2 x y z + 9/8 x y z - 6 x y z , COEFF(0, 1, 1) = - 45/4 x y z + + 2 2 3 2 2 3 3 3 2 2 3 + + 9/2 x y z + 15 x y z + 81/8 x y z + 15/4 x y z - 27/2 x y z + + 2 3 2 2 3 2 + + 15 x y z + 9/2 x y z - 5/4 x y z + 15/4 x y z - 5 x y z + + 2 2 2 3 2 2 3 2 2 3 + - 20 x y z - 27/2 x y z - 27/8 x y z - 5 x y z - 27/8 x y z + + 2 2 2 2 2 2 2 + + 9/8 x y z + 18 x y z , COEFF(1, 1, 1) = 1/2 y z + 1/8 y z + 2 y z + + 3 3 2 3 3 2 3 3 2 + + 9/8 y z - 3/2 y z - 3/2 y z - 3/8 y z - 3/8 y z + 1/2 y z + + 2 3 2 2 2 3 2 2 + + 27/2 x y z + 16 x y z - 12 x y z + x y z - 9/8 x y z + + 2 3 3 2 3 2 2 3 3 2 3 + - 81/8 x y z - 12 x y z + 27/2 x y z - 3 x y z + 27/8 x y z + + 2 2 2 3 2 2 3 3 2 + + 4 x y z - 9/2 x y z - 3 x y z - 9/2 x y z + 9 x y z + 4 x y z + + 2 3 2 2 2 2 2 3 3 + + 27/8 x y z - 18 x y z , COEFF(2, 1, 1) = - 9/2 x y z + 3/4 x y z + + 2 3 2 2 3 3 2 2 3 + + 3 x y z - 4 x y z - 9/4 x y z + 3/8 x y z - 9/8 x y z + + 2 3 2 2 2 2 2 2 3 3 + - 9/2 x y z - x y z - x y z + 3/2 x y z + 27/8 x y z + + 2 3 2 2 2 3 2 2 + - 9/8 x y z - 1/4 x y z + 6 x y z + 3/4 x y z + 3/2 x y z + + 3 2 2 2 2 2 2 3 + + 3 x y z , COEFF(-1, 2, 1) = 1/8 y z + 1/2 y z - 9/8 x y z + + 3 3 2 3 2 2 2 2 3 2 2 + - 3/2 x y z - 3/8 x y z + 3/2 x y z + 3/2 x y z - 2 x y z + + 2 3 2 3 3 3 2 2 3 + - 3/2 x y z + 1/2 x y z + 3/8 y z - 1/2 x y z - 3/8 y z + + 3 2 2 3 3 3 2 2 2 3 + + 2 x y z + 9/8 x y z - 1/2 y z + 3/8 x y z - 1/8 y z, + + 2 3 2 3 2 3 3 2 2 + COEFF(0, 2, 1) = 9/2 x y z - 5 x y z + 15/4 x y z + 5 x y z + + 2 3 2 3 2 2 3 2 2 2 3 3 + - 15/4 x y z + 9/8 x y z + 27/8 x y z - 9/8 x y z - 27/8 x y z + + 3 2 2 2 2 2 2 2 + - 5/4 x y z + 5/4 x y z - 9/2 x y z , COEFF(1, 2, 1) = 9/2 x y z + + 2 3 3 2 3 2 3 3 2 3 2 3 + + 3 x y z + 1/2 y z + x y z + 27/8 x y z - 9/2 x y z + 1/8 y z + + 3 3 2 2 2 3 2 2 2 2 2 3 + - 3/8 y z - x y z - 27/8 x y z + 9/8 x y z - 4 x y z + 3/8 y z + + 2 3 3 3 2 2 2 2 3 + - 1/8 y z - 3 x y z + 4 x y z - 1/2 y z - 9/8 x y z, + + 2 2 2 2 3 2 2 2 3 + COEFF(2, 2, 1) = x y z - 3/8 x y z - x y z + 9/8 x y z + + 2 3 2 2 3 3 2 3 2 2 3 + - 3/4 x y z + 1/4 x y z - 9/8 x y z + 3/2 x y z + 3/8 x y z + + 3 3 3 2 2 2 2 2 + + 3/4 x y z - 1/4 x y z - 3/2 x y z , COEFF(-1, -1, 2) = -x y z + + 2 3 2 2 3 2 2 2 3 + + 3/8 x y z + 1/2 x y z + x y z + 3/4 x y z + 1/8 y z + + 3 2 3 2 3 2 2 2 3 3 + + 1/2 x y z - 1/2 x y z - 3/8 x y z + 1/4 y z - 1/2 x y z + + 2 2 2 3 2 2 3 3 3 + - 3/8 x y z - 1/8 y z - 1/8 y z - 1/4 y z + 1/8 y z + + 2 3 3 2 2 3 2 3 + + 3/8 x y z - 3/4 x y z , COEFF(0, -1, 2) = - 9/8 x y z + + 2 2 2 3 3 2 2 2 2 3 2 + - 5/4 x y z + 5/2 x y z + 5/4 x y z - 9/4 x y z + 9/8 x y z + + 3 2 2 3 3 2 2 2 3 3 + - 5/4 x y z - 5/2 x y z + 5/4 x y z + 9/8 x y z - 9/8 x y z + + 2 2 3 2 2 3 2 2 + + 9/4 x y z , COEFF(1, -1, 2) = - 9/4 x y z - 1/4 y z + + 2 3 3 2 3 2 2 2 2 2 3 + + 9/8 x y z + x y z + x y z - 2 x y z + 1/8 y z + 9/8 x y z + + 2 2 2 2 3 3 3 2 3 2 3 3 3 + + 9/4 x y z + 2 x y z - x y z - 9/8 x y z - 1/8 y z - x y z + + 2 2 3 2 2 3 3 + - 9/8 x y z + 1/8 y z + 1/4 y z - 1/8 y z , COEFF(2, -1, 2) = + + 2 3 2 2 3 3 2 2 3 2 3 + - 1/2 x y z - 1/4 x y z - 3/8 x y z + 3/4 x y z - 3/8 x y z + + 3 3 2 2 2 2 2 2 3 2 + + 1/4 x y z - 1/4 x y z + 1/2 x y z + 3/8 x y z + 3/8 x y z + + 2 2 2 3 3 2 2 3 + - 3/4 x y z + 1/4 x y z , COEFF(-1, 0, 2) = -x z - 3/4 x z + + 3 3 3 2 2 3 3 3 2 3 3 + - 3/8 y z + 3/8 y z - 5/2 x y z + 3/2 x y z - 9/8 x y z + + 3 2 2 2 2 2 2 2 2 3 + - 1/4 z - 5/8 y z + 3/4 x z + 5/2 x y z + 15/8 x y z + + 2 2 2 2 3 3 2 2 3 2 2 3 + - 15/8 x y z + 5/8 y z - 3/2 x y z + 9/8 x y z + 1/4 z + x z , + + 2 3 3 2 2 3 2 3 2 + COEFF(0, 0, 2) = 27/8 x y z - 45/8 x y z - 27/8 x y z + + 2 3 3 2 2 2 2 3 + + 25/4 x y z + 15/4 x y z + 5/2 x z - 9/4 x z - 5/2 x z + + 3 3 2 3 2 2 2 2 2 + - 15/4 x y z + 9/4 x z + 45/8 x y z - 25/4 x y z , COEFF(1, 0, 2) + + 2 3 2 2 2 3 2 2 2 3 3 2 + = - 5/8 y z + 5 x y z + 27/8 x y z + 45/8 x y z - 3 x y z + + 2 2 3 3 2 2 3 2 2 2 3 3 + + 5/8 y z + 1/4 z - 3/8 y z - 5 x y z + 9/4 x z - 27/8 x y z + + 2 2 3 2 2 2 2 3 3 3 + - 2 x z - 1/4 z + 2 x z - 45/8 x y z - 9/4 x z + 3 x y z + + 3 3 3 2 2 2 2 2 + + 3/8 y z , COEFF(2, 0, 2) = - 1/2 x z + 15/8 x y z - 3/4 x z + + 2 3 2 3 3 2 2 2 3 2 3 2 + + 3/4 x z + 9/8 x y z + 1/2 x z - 15/8 x y z - 9/8 x y z + + 2 2 3 2 2 3 3 3 + - 5/4 x y z + 3/4 x y z + 5/4 x y z - 3/4 x y z , COEFF(-1, 1, 2) + + 2 2 3 3 3 3 3 2 2 3 + = -2 x y z + 3/8 y z - 3/2 x y z - 3/8 y z - 3/8 x y z + + 3 2 3 2 2 3 2 2 2 3 2 + + 1/2 x y z + 2 x y z - 3/2 x y z + 1/2 y z - 9/8 x y z + + 2 3 3 2 2 2 3 2 2 + + 9/8 x y z + 3/2 x y z - 1/8 y z + 1/8 y z - 1/2 x y z + + 2 2 3 2 2 3 2 3 3 + + 3/8 x y z + 3/2 x y z - 1/2 y z , COEFF(0, 1, 2) = - 27/8 x y z + + 2 3 2 3 2 2 3 3 2 2 2 + + 27/8 x y z - 15/4 x y z + 5/4 x y z + 15/4 x y z - 9/2 x y z + + 2 2 3 2 3 2 2 2 3 2 2 + + 9/2 x y z - 5 x y z - 9/8 x y z + 9/8 x y z + 5 x y z + + 3 2 2 2 3 2 3 2 + - 5/4 x y z , COEFF(1, 1, 2) = - 1/2 y z - 27/8 x y z + 3 x y z + + 3 2 2 3 2 2 3 3 3 3 + + 1/8 y z - 1/8 y z - 9/8 x y z - 4 x y z - 3/8 y z - 3 x y z + + 2 2 2 3 2 3 3 2 2 3 + + 9/2 x y z + x y z + 27/8 x y z - x y z + 4 x y z + + 2 2 3 2 2 2 3 3 2 + - 9/2 x y z + 9/8 x y z + 1/2 y z + 3/8 y z , COEFF(2, 1, 2) = + + 2 3 2 3 2 2 3 3 2 2 3 3 + 3/8 x y z + 9/8 x y z - x y z - 3/4 x y z - 9/8 x y z + + 2 2 3 2 2 2 2 2 3 2 + + 3/2 x y z + x y z - 3/2 x y z - 1/4 x y z + 1/4 x y z + + 2 2 3 3 3 2 3 3 + - 3/8 x y z + 3/4 x y z , COEFF(-1, 2, 2) = 1/8 y z + 1/2 x y z + + 3 3 2 2 2 2 2 2 3 2 3 + - 1/8 y z + 1/2 x y z - 1/8 y z + 3/8 x y z - 1/2 x y z + + 3 2 2 3 2 2 3 3 2 2 2 2 3 + - 1/2 x y z + 3/8 x y z - 3/8 x y z - 3/8 x y z + 1/8 y z , + + 2 2 3 2 2 3 3 2 3 + COEFF(0, 2, 2) = - 9/8 x y z - 5/4 x y z - 5/4 x y z + 5/4 x y z + + 2 3 2 2 3 3 2 2 2 3 2 + - 9/8 x y z + 9/8 x y z + 9/8 x y z + 5/4 x y z , COEFF(1, 2, 2) + + 2 3 2 2 3 2 3 2 2 2 2 + = - 1/8 y z + 9/8 x y z - x y z + 1/8 y z + x y z + + 2 3 2 3 3 2 2 2 3 2 2 3 3 + + 9/8 x y z + 1/8 y z - 9/8 x y z - x y z - 9/8 x y z + + 3 3 3 2 2 2 3 2 3 2 + + x y z - 1/8 y z , COEFF(2, 2, 2) = - 3/8 x y z - 3/8 x y z + + 2 2 2 3 3 3 2 2 3 3 3 + - 1/4 x y z + 3/8 x y z + 1/4 x y z + 1/4 x y z - 1/4 x y z + + 2 2 2 + + 3/8 x y z ] + +> print_coeff__lc_of_data(%, "coeff_dx_", "fp", +> "3d.coeffs/3d.cube.order2/coeff-dx.compute.c"); +bytes used=521048104, alloc=8976788, time=53.96 +bytes used=522048392, 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time=97.39 +bytes used=850752064, alloc=8976788, time=97.46 +bytes used=851752216, alloc=8976788, time=97.54 +bytes used=852752732, alloc=8976788, time=97.62 +bytes used=853752908, alloc=8976788, time=97.70 +bytes used=854753132, alloc=8976788, time=97.78 +bytes used=855753368, alloc=8976788, time=97.87 +bytes used=856753524, alloc=8976788, time=98.20 +bytes used=857753716, alloc=8976788, time=98.43 +bytes used=858753980, alloc=8976788, time=98.59 +bytes used=859754144, alloc=8976788, time=98.79 +bytes used=860754304, alloc=8976788, time=98.98 +bytes used=861754480, alloc=8976788, time=99.18 +bytes used=862754696, alloc=8976788, time=99.35 +bytes used=863756648, alloc=8976788, time=99.49 +bytes used=864756800, alloc=8976788, time=101.28 +bytes used=865756996, alloc=8976788, time=101.54 +bytes used=866757172, alloc=8976788, time=101.78 +bytes used=867757432, alloc=8976788, time=101.86 +bytes used=868757584, alloc=8976788, time=101.93 +bytes used=869757736, alloc=8976788, time=102.07 +bytes used=870757936, alloc=8976788, time=102.23 +bytes used=871758216, alloc=8976788, time=102.35 +> +# d/dy +> simplify( diff(interp_3d_cube_order2,y) ); +bytes used=872758384, alloc=8976788, time=102.47 +bytes used=874047632, alloc=8976788, time=102.58 +bytes used=875129104, alloc=8976788, time=102.66 +bytes used=876129248, alloc=8976788, time=102.74 +bytes used=877129692, alloc=8976788, time=102.83 +bytes used=878129916, alloc=8976788, time=102.92 +bytes used=879130260, alloc=8976788, time=103.00 +bytes used=880130400, alloc=8976788, time=103.09 +bytes used=881130528, alloc=8976788, time=103.17 +bytes used=882130800, alloc=8976788, time=103.26 +bytes used=883131740, alloc=8976788, time=103.35 +bytes used=884131888, alloc=8976788, time=103.44 +bytes used=885132124, alloc=8976788, time=103.54 +bytes used=886132628, alloc=8976788, time=103.62 +bytes used=887132820, alloc=8976788, time=103.70 + 2 3 +1/2 DATA(0, 1, 0) - z DATA(0, -1, 1) - 3/4 z DATA(0, -1, 0) + + 3 3 3 + - 1/4 z DATA(0, -1, 2) + 3/4 z DATA(0, 1, 0) + 1/4 z DATA(0, 1, 2) + + 3 3 + - 1/4 z DATA(0, 1, -1) - 3/4 z DATA(0, 1, 1) + 2 y DATA(0, -1, 0) + + 2 3 + - 5 y DATA(0, 0, 0) + 9/2 y DATA(0, 0, 0) + 3/4 z DATA(0, -1, 1) + + 2 2 + + 1/2 x y z DATA(-1, 2, -1) + 1/4 x z DATA(-1, -1, -1) + + 2 2 2 + + 1/2 x z DATA(-1, -1, 1) + 2 x z DATA(1, 1, 1) + + 2 2 2 2 + + 5/2 x z DATA(0, -1, 1) - 5/4 x z DATA(0, 1, -1) + + 2 2 2 2 + + 5/8 x z DATA(0, 1, 2) + 5/4 x z DATA(-1, -1, 0) + + 2 2 2 2 + - 5/2 x z DATA(1, 1, 0) + 25/8 x z DATA(0, 1, 0) + + 2 2 2 2 + - 5/2 x z DATA(0, 1, 1) - 1/8 x z DATA(2, -1, 2) + + 2 2 2 2 + + 1/8 x z DATA(2, 1, 2) + x z DATA(-1, 1, 1) + + 2 2 2 2 + - 1/2 x z DATA(-1, -1, -1) - 1/2 x z DATA(1, 1, 2) + + 3 2 3 2 + - 1/4 x z DATA(2, -1, -1) - 1/2 x z DATA(2, -1, 1) + + 3 2 3 2 + + 1/8 x z DATA(2, -1, 2) - 1/8 x z DATA(2, 1, 2) + + 2 2 2 2 + + 5/2 x z DATA(1, -1, 0) - 5/8 x z DATA(2, -1, 0) + + 2 2 2 2 + - x z DATA(-1, -1, 1) + 1/2 x z DATA(-1, 1, -1) + + 2 2 2 2 2 2 + - x z DATA(1, -1, -1) - 2 x z DATA(1, -1, 1) - 1/2 x z DATA(2, 1, 1) + + 2 2 2 2 + + 1/4 x z DATA(2, -1, -1) + 1/2 x z DATA(2, -1, 1) + + 2 2 2 2 2 + + x y z DATA(-1, 2, 1) + 5/4 x z DATA(0, -1, -1) + x z DATA(1, 1, -1) + + 2 2 2 2 + + 5/8 x z DATA(2, 1, 0) - 25/8 x z DATA(0, -1, 0) + + 2 2 2 2 + - 5/8 x z DATA(0, -1, 2) - 5/4 x z DATA(-1, 1, 0) + + 2 + + 1/2 z DATA(0, 1, -1) + 1/4 x DATA(-1, -1, 0) - 1/4 x DATA(-1, 1, 0) + + 2 + - 1/4 x DATA(1, -1, 0) + 1/4 x DATA(1, 1, 0) + z DATA(0, 1, 1) + + 2 2 2 + + 5/4 z DATA(0, -1, 0) + 1/4 z DATA(0, -1, 2) - 5/4 z DATA(0, 1, 0) + + 2 2 2 + - 1/4 z DATA(0, 1, 2) - 5 x y DATA(-1, 0, 0) + 5/2 x y DATA(0, 2, 0) + + 2 2 2 2 2 + + 5/2 x y DATA(2, 0, 0) - 9 y z DATA(0, 1, 1) - 3 y z DATA(0, -1, 1) + + 2 2 2 2 + + 45/4 y z DATA(0, 1, 0) - 45/4 y z DATA(0, 0, 0) + + 2 2 2 2 + - 3/2 y z DATA(0, -1, -1) - 9/2 y z DATA(0, 1, -1) + + 2 2 2 2 + - 3/4 y z DATA(0, 2, 2) - 9/4 y z DATA(0, 0, 2) + + 2 2 2 2 + + 9 y z DATA(0, 0, 1) - 15/4 y z DATA(0, 2, 0) + + 2 2 2 + + 1/4 x z DATA(-1, -1, -1) + 9/4 y z DATA(0, 1, 2) + + 2 2 2 2 + + 15/4 y z DATA(0, -1, 0) + 3/4 y z DATA(0, -1, 2) + + 2 2 2 2 + + 3/2 y z DATA(0, 2, -1) + 3 y z DATA(0, 2, 1) + + 2 2 2 + + 9/2 y z DATA(0, 0, -1) - 1/2 x z DATA(1, 1, -1) + + 2 2 + + 1/2 x z DATA(1, 1, 1) - 5/8 x z DATA(0, -1, -1) + + 2 2 + + 5/8 x z DATA(0, -1, 1) + 5/8 x z DATA(0, 1, -1) + + 2 2 + - 5/8 x z DATA(0, 1, 1) - 1/8 x z DATA(2, -1, -1) + + 2 + + 1/8 x z DATA(2, -1, 1) - 1/8 x z DATA(-1, 1, 1) + + 2 2 + - 1/4 x z DATA(-1, -1, 1) - 1/4 x z DATA(-1, 1, -1) + + 2 2 + + 1/4 x z DATA(-1, 1, 1) + 1/2 x z DATA(1, -1, -1) + + 2 + - 1/2 x z DATA(1, -1, 1) + 1/8 x z DATA(1, -1, -1) + + 3 3 + - 1/8 x z DATA(-1, -1, -1) + 3/8 x z DATA(1, 1, -1) + + 3 3 3 3 + - 3/8 x z DATA(2, -1, 0) + 3/8 x z DATA(2, 1, 0) + + 3 3 2 + - 9/8 x z DATA(0, -1, 0) + 1/8 x z DATA(2, 1, -1) + + 2 + - 1/8 x z DATA(2, 1, 1) + 1/8 x z DATA(-1, -1, 1) + + + 1/8 x z DATA(-1, 1, -1) - 1/8 x z DATA(1, -1, 1) + + 3 3 3 + + 15/2 y z DATA(0, 0, 1) + 6 y z DATA(0, 1, 0) - 6 y z DATA(0, 1, 1) + + 3 2 + - 1/8 x z DATA(1, 1, -1) + 1/8 x z DATA(1, 1, 1) + 3/8 x z DATA(1, 1, 2) + + 3 2 3 3 + - 3/2 x z DATA(1, 1, 1) - y z DATA(0, -1, -1) - 3 y z DATA(0, -1, 1) + + 3 3 + + 1/2 y z DATA(0, 2, -1) + 3/2 y z DATA(0, 2, 1) + + 3 3 2 + - 15/2 y z DATA(0, 0, 0) - 1/8 x z DATA(-1, -1, 2) + + 3 2 3 2 + - 3/8 x z DATA(1, -1, 2) + 1/8 x z DATA(-1, 1, 2) + + 3 2 3 2 + + 1/4 x z DATA(2, 1, -1) + 1/2 x z DATA(2, 1, 1) + + 3 2 3 2 + + 3/4 x z DATA(1, -1, -1) + 3/2 x z DATA(1, -1, 1) + + 3 2 3 2 + - 3/4 x z DATA(1, 1, -1) + 5/8 x z DATA(2, -1, 0) + + 3 2 3 2 + - 15/8 x z DATA(1, -1, 0) - 5/8 x z DATA(-1, -1, 0) + + 3 2 3 2 + + 15/8 x z DATA(1, 1, 0) + 1/4 x z DATA(-1, -1, -1) + + 3 2 3 2 + + 1/2 x z DATA(-1, -1, 1) - 1/4 x z DATA(-1, 1, -1) + + 3 2 3 2 + + 3/4 x z DATA(0, 1, -1) - 5/8 x z DATA(2, 1, 0) + + 3 2 3 2 + + 15/8 x z DATA(0, -1, 0) + 3/8 x z DATA(0, -1, 2) + + 3 2 3 2 + + 5/8 x z DATA(-1, 1, 0) - 1/2 x z DATA(-1, 1, 1) + + 3 2 2 2 + - 3/8 x z DATA(0, 1, 2) + 1/4 x z DATA(-1, -1, 2) + + 2 2 2 2 + + 1/2 x z DATA(1, -1, 2) - 1/4 x z DATA(-1, 1, 2) + + 2 2 3 2 + - 1/4 x z DATA(2, 1, -1) - 15/8 x z DATA(0, 1, 0) + + 3 2 3 2 + + 3/2 x z DATA(0, 1, 1) - 3/4 x z DATA(0, -1, -1) + + 3 2 2 3 + - 3/2 x z DATA(0, -1, 1) + 15/8 x z DATA(0, -1, 0) + + 2 3 2 3 + + 1/8 x z DATA(2, 1, -1) + 3/8 x z DATA(2, 1, 1) + + 2 3 2 3 + - 1/8 x z DATA(2, -1, -1) + 1/4 x z DATA(-1, 1, 2) + + 2 3 2 3 + + 1/2 x z DATA(1, -1, -1) + 3/2 x z DATA(1, -1, 1) + + 2 3 2 3 + - 1/2 x z DATA(1, 1, -1) + 3/8 x z DATA(2, -1, 0) + + 2 3 3 3 + - 3/8 x z DATA(2, 1, 0) - 3 x y DATA(1, -1, 0) + x y DATA(2, -1, 0) + + 3 2 3 + + 2 x y DATA(2, 1, 0) + 5/8 x z DATA(0, -1, 2) + + 2 3 2 3 + - 3/2 x z DATA(1, -1, 0) - 3/4 x z DATA(-1, -1, 0) + + 2 3 2 3 + + 3/2 x z DATA(1, 1, 0) - 15/8 x z DATA(0, 1, 0) + + 2 3 2 3 + + 3/4 x z DATA(-1, 1, 0) - 1/4 x z DATA(-1, 1, -1) + + 3 3 3 + - 15/2 x y DATA(0, 0, 0) + 6 x y DATA(0, 1, 0) + 15/2 x y DATA(1, 0, 0) + + 3 3 3 + - 6 x y DATA(1, 1, 0) - 3/2 x y DATA(0, 2, 0) + 3 x y DATA(0, -1, 0) + + 3 2 3 + - x y DATA(-1, -1, 0) + 15/8 x z DATA(0, 1, 1) + + 2 3 2 3 + - 5/8 x z DATA(0, -1, -1) - 15/8 x z DATA(0, -1, 1) + + 2 3 2 3 + + 5/8 x z DATA(0, 1, -1) - 5/8 x z DATA(0, 1, 2) + + 3 2 3 + - 5/2 x y DATA(2, 0, 0) - x DATA(1, -1, 0) - 1/2 x y DATA(2, 2, 0) + + 3 3 + + 3/2 x y DATA(1, 2, 0) + 1/2 x y DATA(-1, 2, 0) + + 3 2 3 3 + + 5/2 x y DATA(-1, 0, 0) + x DATA(1, 1, 0) + 3/8 x z DATA(2, -1, 1) + + 3 3 3 3 + - 3/8 x z DATA(1, 1, 2) + 9/8 x z DATA(1, 1, 1) + + 3 3 3 3 + + 1/8 x z DATA(-1, -1, 2) + 3/8 x z DATA(1, -1, 2) + + 3 3 3 + - 1/8 x z DATA(-1, 1, 2) - 2 x y DATA(-1, 1, 0) + + 3 3 3 3 + - 1/8 x z DATA(2, -1, 2) - 3/8 x z DATA(1, -1, -1) + + 3 3 3 3 + - 9/8 x z DATA(1, -1, 1) - 1/8 x z DATA(2, 1, -1) + + 3 3 3 3 + - 3/8 x z DATA(2, 1, 1) + 1/8 x z DATA(2, -1, -1) + + 3 3 3 3 + + 3/8 x z DATA(-1, 1, 1) - 1/8 x z DATA(-1, -1, -1) + + 3 3 3 3 + - 3/8 x z DATA(-1, -1, 1) + 1/8 x z DATA(-1, 1, -1) + + 3 3 3 3 + + 9/8 x z DATA(0, -1, 1) - 3/8 x z DATA(0, 1, -1) + + 3 3 2 + + 3/8 x z DATA(0, 1, 2) + 25/2 x y DATA(0, 0, 0) + + 3 3 2 3 3 + + 1/8 x z DATA(2, 1, 2) - x y DATA(-1, 2, 0) - 3/8 x z DATA(0, -1, 2) + + 3 3 3 3 + - 3/8 x z DATA(-1, 1, 0) + 9/8 x z DATA(1, -1, 0) + + 3 3 3 3 + + 3/8 x z DATA(-1, -1, 0) - 9/8 x z DATA(1, 1, 0) + + 3 3 3 3 + + 9/8 x z DATA(0, 1, 0) - 9/8 x z DATA(0, 1, 1) + + 3 3 2 + + 3/8 x z DATA(0, -1, -1) - 1/2 z DATA(0, -1, -1) + + 2 2 + - 10 x y DATA(1, 0, 0) - 1/4 x z DATA(1, -1, -1) + + 2 3 + - 1/2 x z DATA(1, -1, 1) - 1/8 x z DATA(2, 1, -1) + + 2 2 + + 1/8 x z DATA(1, -1, 2) - 5/8 x z DATA(1, 1, 0) + + 2 2 + - 1/4 x z DATA(-1, 1, -1) - 1/2 x z DATA(-1, 1, 1) + + 2 2 2 + - 2 y z DATA(0, 2, 1) + 1/4 x z DATA(1, 1, -1) + 1/2 x z DATA(1, 1, 1) + + 2 2 + - 5/8 x z DATA(-1, -1, 0) - 1/8 x z DATA(-1, -1, 2) + + 2 2 + + 5/8 x z DATA(-1, 1, 0) + 1/8 x z DATA(-1, 1, 2) + + 2 2 2 + + 5/8 x z DATA(1, -1, 0) - 5 y z DATA(0, 0, -1) - 10 y z DATA(0, 0, 1) + + 2 2 2 + - 10 y z DATA(0, 1, 0) 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x z DATA(-1, -1, -1) + 1/2 x z DATA(1, 1, 2) + + 2 3 3 + - 3/2 x z DATA(1, 1, 1) - 3/8 x z DATA(-1, 1, 0) + + 2 3 2 2 2 + + 3/4 x z DATA(-1, -1, 1) + 15/2 x y z DATA(0, -1, 1) + + 2 2 2 2 2 2 + + 15/4 x y z DATA(0, -1, -1) + 9/2 x y z DATA(2, 1, 1) + + 2 2 2 2 2 2 + + 9/4 x y z DATA(2, 1, -1) + 3 x y z DATA(-1, 2, 1) + + 2 2 2 2 2 2 + + 3/2 x y z DATA(-1, 2, -1) - 18 x y z DATA(1, 1, 1) + + 2 2 2 2 2 2 + - 9/2 x y z DATA(1, 0, 2) - 9/4 x y z DATA(-1, 0, 2) + + 2 2 2 2 2 2 + - 9/2 x y z DATA(2, 0, 1) - 9/4 x y z DATA(2, 0, -1) + + 2 2 2 2 2 2 + + 9 x y z DATA(1, 0, -1) + 3 x y z DATA(1, 2, -1) + + 2 2 2 2 2 2 + + 45/4 x y z DATA(0, 1, -1) - 15/2 x y z DATA(0, 2, 1) + + 2 2 2 2 2 2 + - 15/4 x y z DATA(0, 2, -1) + 45/2 x y z DATA(1, 1, 0) + + 2 2 2 2 2 2 + - 45/2 x y z DATA(1, 0, 0) - 225/8 x y z DATA(0, 1, 0) + + 2 2 2 2 2 2 + + 225/8 x y z DATA(0, 0, 0) + 45/8 x y z DATA(2, 0, 0) + + 2 2 2 2 2 2 + + 18 x y z DATA(1, 0, 1) + 45/2 x y z DATA(0, 1, 1) + + 2 2 2 2 2 2 + + 15/8 x y z DATA(0, 2, 2) + 6 x y z DATA(1, 2, 1) + + 2 2 2 2 2 2 + + 9 x y z DATA(-1, 0, 1) + 9/2 x y z DATA(-1, 0, -1) + + 2 2 2 2 2 2 + - 45/2 x y z DATA(0, 0, 1) - 45/4 x y z DATA(0, 0, -1) + + 2 2 2 2 2 2 + + 15/4 x y z DATA(-1, -1, 0) - 75/8 x y z DATA(0, -1, 0) + + 2 2 2 2 2 2 + + 75/8 x y z DATA(0, 2, 0) - 45/4 x y z DATA(-1, 0, 0) + + 2 2 2 2 2 2 + - 15/4 x y z DATA(-1, 2, 0) - 15/2 x y z DATA(1, 2, 0) + + 2 2 2 2 2 2 + + 15/8 x y z DATA(2, 2, 0) + 45/4 x y z DATA(-1, 1, 0) + + 2 2 2 2 2 2 + - 45/8 x y z DATA(2, 1, 0) - 15/8 x y z DATA(2, -1, 0) + + 2 2 2 2 2 2 + + 15/2 x y z DATA(1, -1, 0) + 3/8 x y z DATA(2, 2, 2) + + 2 2 2 2 2 2 + - 3/4 x y z DATA(-1, 2, 2) - 3/8 x y z DATA(2, -1, 2) + + 2 2 2 2 2 2 + + 3/4 x y z DATA(-1, -1, 2) + 3/2 x y z DATA(2, -1, 1) + + 2 2 2 2 2 2 + + 3/4 x y z DATA(2, -1, -1) - 3/2 x y z DATA(2, 2, 1) + + 2 2 2 2 2 2 + - 3/4 x y z DATA(2, 2, -1) + 9/2 x y z DATA(1, 1, 2) + + 2 2 2 2 2 2 + - 15/8 x y z DATA(0, -1, 2) - 45/8 x y z DATA(0, 1, 2) + + 2 2 2 2 2 2 + + 45/8 x y z DATA(0, 0, 2) - 3/2 x y z DATA(-1, -1, -1) + + 2 2 2 2 2 2 + - 9 x y z DATA(-1, 1, 1) + 9/8 x y z DATA(2, 0, 2) + + 2 2 2 2 3 + - 3/2 x y z DATA(1, 2, 2) - 3/8 x z DATA(2, -1, 1) + + 2 3 2 3 + + 1/8 x z DATA(2, -1, 2) - 1/8 x z DATA(2, 1, 2) + + 2 3 2 + - 3/4 x z DATA(-1, 1, 1) + 1/2 x DATA(-1, 1, 0) + + 2 3 2 3 + - 3/8 x y z DATA(-1, 2, 2) - 9/8 x y z DATA(1, -1, 0) + + 2 3 2 3 + - 27/8 x y z DATA(1, 1, 0) + 9/8 x y z DATA(1, 2, 0) + + 2 3 2 3 + + 27/8 x y z DATA(-1, 1, 0) - 27/8 x y z DATA(-1, 0, 0) + + 2 3 2 3 + - 9/8 x y z DATA(-1, 2, 0) + 9/8 x y z DATA(-1, -1, 0) + + 2 3 2 3 + + 27/8 x y z DATA(-1, 0, 1) + 9/8 x y z DATA(-1, 0, -1) + + 2 3 2 3 + - 9/8 x y z DATA(1, 2, 1) - 9/8 x y z DATA(1, 1, 2) + + 2 3 2 + + 3/8 x y z DATA(-1, -1, 2) + 8 x y DATA(1, 1, 0) + + 2 2 2 + + 4 x y DATA(1, -1, 0) + 4 x y DATA(-1, 1, 0) + 2 x y DATA(-1, -1, 0) + + 2 2 2 + - 2 x y DATA(2, 1, 0) - x y DATA(2, -1, 0) - 10 x y DATA(0, 1, 0) + + 2 + - 5 x y DATA(0, -1, 0) - 2 x y DATA(-1, 1, 0) - x y 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1) + 5/4 x y z DATA(1, 0, -1) + + 3 2 + - 5/4 x y z DATA(1, 0, 1) + 1/2 x y z DATA(-1, -1, 2) + + 3 2 3 2 + + 3/2 x y z DATA(1, -1, 2) + x y z DATA(-1, 1, 2) + + 3 2 3 2 + - 3/4 x y z DATA(1, 2, 2) + 2 x y z DATA(2, 1, -1) + + 3 2 3 2 + - x y z DATA(-1, -1, -1) - 2 x y z DATA(-1, -1, 1) + + 3 2 3 2 + - 2 x y z DATA(-1, 1, -1) - 1/2 x y z DATA(2, 2, -1) + + 3 2 3 2 + - x y z DATA(2, 2, 1) + x y z DATA(2, -1, -1) + + 3 2 3 2 + + 2 x y z DATA(2, -1, 1) - 1/2 x y z DATA(2, -1, 2) + + 3 2 3 2 + + 1/4 x y z DATA(2, 2, 2) - x y z DATA(2, 1, 2) + + 3 2 3 2 + - 5/4 x y z DATA(-1, 0, 2) + 3 x y z DATA(1, 1, 2) + + 3 2 3 2 + - 12 x y z DATA(1, 1, 1) - 1/4 x y z DATA(-1, 2, 2) + + 3 2 3 2 + - 25/4 x y z DATA(-1, 0, 0) + 15 x y z DATA(1, 0, 1) + + 3 2 3 2 + - 4 x y z DATA(-1, 1, 1) - 6 x y z DATA(1, 1, -1) + + 3 2 3 2 + + 5/2 x y z DATA(-1, 0, -1) + 5 x y z DATA(-1, 0, 1) + + 3 2 3 2 + - 75/4 x y z DATA(1, 0, 0) - 6 x y z DATA(1, -1, 1) + + 3 2 + + 1/4 z DATA(0, -1, -1) - 5/4 x y z DATA(-1, 2, 0) + + 3 2 3 2 + + 9/8 x y z DATA(0, 2, 1) - 27/8 x y z DATA(0, 0, -1) + + 3 2 2 + + 27/8 x y z DATA(0, 1, -1) + 5/4 x y z DATA(1, 2, 0) + + 2 + + 25/4 x y z DATA(1, 0, 0) - y z DATA(0, -1, -1) + y z DATA(0, -1, 1) + + - 2 y z DATA(0, 1, -1) + 2 y z DATA(0, 1, 1) + 5/2 y z DATA(0, 0, -1) + + - 5/2 y z DATA(0, 0, 1) + 1/2 y z DATA(0, 2, -1) - 1/2 y z DATA(0, 2, 1) + + 2 2 + + 5 x y z DATA(-1, 0, 1) + 5/2 x y z DATA(-1, 0, -1) + + 2 2 2 + + 3/4 x y DATA(-1, -1, 0) - 1/2 DATA(0, -1, 0) - 9/4 x y DATA(2, 0, 0) + + 2 2 2 + + 3/4 x y DATA(1, 2, 0) - 3/2 x y DATA(-1, -1, 0) + + 2 2 2 2 + - 9/2 x y DATA(-1, 1, 0) + 3/2 x y DATA(-1, 2, 0) + + 2 2 2 2 + + 3/4 x y DATA(2, -1, 0) + 9/2 x y DATA(-1, 0, 0) + + 2 2 2 2 2 + + 3 x y DATA(1, 2, 0) - 3 x y DATA(1, -1, 0) - 3/4 x y DATA(1, -1, 0) + + 2 2 + - 9/4 x y DATA(-1, 0, 0) + 9/4 x y DATA(-1, 1, 0) + + 2 2 2 + + 9/4 x y DATA(1, 0, 0) - 45/4 x y DATA(0, 0, 0) + + 2 2 2 2 + + 9 x y DATA(1, 0, 0) - 9 x y DATA(1, 1, 0) + + 2 2 2 2 + + 15/4 x y DATA(0, -1, 0) - 3/4 x y DATA(2, 2, 0) + + 2 2 2 + + 9/4 x y DATA(2, 1, 0) - 3/4 x y DATA(-1, 2, 0) + +> coeff_as_lc_of_data(%, posn_list_3d_size4); +bytes used=888164720, alloc=8976788, time=103.80 +bytes used=889165092, alloc=8976788, time=103.89 +bytes used=890219828, alloc=8976788, time=103.97 +bytes used=891375996, alloc=8976788, time=104.07 +bytes used=892429168, alloc=8976788, time=104.16 +bytes used=893474288, alloc=8976788, time=104.25 +bytes used=894474640, alloc=8976788, time=104.35 +bytes used=895512016, alloc=8976788, time=104.45 +bytes used=896538740, alloc=8976788, time=104.55 +bytes used=897538900, alloc=8976788, time=104.64 +bytes used=898595416, alloc=8976788, time=104.75 +bytes used=899606144, alloc=8976788, time=104.85 +bytes used=900612096, alloc=8976788, time=104.96 +bytes used=901634300, alloc=8976788, time=105.03 +bytes used=902677736, alloc=8976788, time=105.09 +bytes used=903720948, alloc=8976788, time=105.16 + 2 3 3 2 3 3 +[COEFF(-1, -1, -1) = 1/4 x z - 1/8 x z + 1/4 x z - 1/8 x z - 1/8 x z + + 2 2 2 3 2 3 3 2 2 2 2 + + 1/4 x z - 1/2 x z - 1/8 x z + 1/4 x z + 3/4 x y z + 3/4 x y z + + 2 3 2 3 2 2 3 + + 1/2 x y z - x y z + 1/2 x y z - 3/8 x y z + 3/4 x y z + + 3 2 3 3 2 3 3 3 3 2 + - 3/8 x y z + 1/2 x y z - x y z + 1/2 x y z - 3/8 x y z + + 2 2 2 3 2 2 2 2 2 2 2 + - 3/8 x y z + 3/4 x y z - x y z + 2 x y z - x y z - 3/2 x y z , + + 2 3 2 3 2 + COEFF(0, -1, -1) = - 5/8 x z + 3/8 x z + 2 y z - 3/4 x z - y z + + 2 2 2 3 3 2 3 3 2 + - 3/2 y z + 3/4 y z - y z + 3/4 y z + 1/4 z + 3/8 x z - 1/2 z + + 2 2 3 2 3 3 2 2 2 3 + + 5/4 x z + 1/4 z - 5/8 x z - 9/4 x y z + 5/2 x y z - 3/2 x y z + + 2 2 3 3 2 3 2 3 3 3 3 2 + - 15/8 x y z + 9/8 x y z + 5/2 x y z - 3/2 x y z + 9/8 x y z + + 2 2 3 2 2 2 2 2 2 + - 15/8 x y z + 3 x y z - 5 x y z + 15/4 x y z , COEFF(1, -1, -1) + + 2 3 3 2 3 3 2 2 2 + = 1/2 x z - 3/8 x z + 3/4 x z + 1/8 x z - 3/8 x z - 1/4 x z - x z + + 3 2 3 3 2 2 2 2 2 + + 1/8 x z + 1/2 x z + 9/4 x y z - 3/4 x y z - 1/2 x y z - 2 x y z + + 3 2 3 2 2 3 3 2 3 3 + + 3/2 x y z + 3/8 x y z + 3/2 x y z - 9/8 x y z - 1/2 x y z + + 2 3 3 3 3 2 2 2 2 + - 2 x y z + 3/2 x y z - 9/8 x y z + 3/8 x y z + 3/2 x y z + + 3 2 2 2 2 2 2 2 + - 3 x y z + 4 x y z + x y z - 3 x y z , COEFF(2, -1, -1) = + + 2 3 2 2 3 3 2 2 2 2 3 + 1/2 x y z + 1/8 x z - x y z - 1/2 x y z + 3/4 x y z + 1/2 x y z + + 3 2 2 2 2 3 2 3 3 3 2 + - 3/4 x y z - 3/8 x y z + x y z + 1/8 x z + 3/8 x y z + + 3 2 3 2 3 3 2 2 2 3 2 + + 3/8 x y z - 1/8 x z - 1/4 x z - 3/8 x y z - 1/8 x z + + 2 2 3 3 2 2 + + 1/4 x z - 1/2 x y z, COEFF(-1, 0, -1) = 5/2 x y z + 9/8 x y z + + 3 3 2 2 2 2 + - 5/4 x y z - 5/4 x y z + 9/8 x y z - 5 x y z + 5/2 x y z + + 2 3 3 3 3 3 2 3 3 2 2 + + 5/2 x y z - 5/4 x y z - 5/4 x y z + 9/8 x y z - 9/4 x y z + + 2 3 2 2 2 2 2 2 2 3 + + 9/8 x y z - 9/4 x y z + 5/2 x y z - 9/4 x y z - 9/4 x y z + + 2 2 2 3 2 3 3 2 + + 9/2 x y z , COEFF(0, 0, -1) = - 27/8 x y z - 15/2 x y z + + 3 3 3 2 2 3 + + 5/2 y z + 15/4 x y z - 25/4 x y z - 25/4 x y z + 5/2 y z + + 3 2 2 2 3 2 2 2 2 3 + + 27/4 x y z - 5 y z - 27/8 x y z - 45/4 x y z + 15/4 x y z + + 2 2 2 2 2 2 3 2 2 + + 9/2 y z - 9/4 y z + 45/8 x y z - 9/4 y z + 25/2 x y z + + 2 2 3 2 2 3 2 2 + + 45/8 x y z , COEFF(1, 0, -1) = -10 x y z - 27/4 x y z + + 3 3 2 2 2 2 2 2 2 2 3 + - 15/4 x y z + 15/2 x y z + 9 x y z + 9/4 x y z - 9/2 x y z + + 2 2 2 2 3 3 2 3 + - 5/2 x y z + 5 x y z - 9/2 x y z + 5/4 x y z + 27/8 x y z + + 2 2 3 2 3 3 2 + - 9/8 x y z + 5 x y z - 9/8 x y z + 5/4 x y z + 27/8 x y z + + 3 3 3 2 2 3 3 + - 15/4 x y z , COEFF(2, 0, -1) = - 9/8 x y z - 5/4 x y z + 5/4 x y z + + 3 3 2 2 3 2 2 2 2 3 2 3 + + 5/4 x y z + 9/8 x y z - 9/4 x y z - 5/4 x y z - 9/8 x y z + + 2 2 3 2 2 2 2 3 2 + + 9/8 x y z + 9/4 x y z + 5/2 x y z - 5/2 x y z , COEFF(-1, 1, -1) + + 2 3 3 2 3 3 2 + = - 1/4 x z + 1/8 x z - 1/4 x z + 1/8 x z + 1/8 x z - 1/4 x z + + 2 2 3 2 3 3 2 2 2 2 + + 1/2 x z + 1/8 x z - 1/4 x z + 9/4 x y z + 9/4 x y z + x y z + + 2 3 2 3 2 2 3 3 2 3 3 + - 2 x y z + x y z - 9/8 x y z + 9/4 x y z - 9/8 x y z + x y z + + 2 3 3 3 3 2 2 2 2 3 2 + - 2 x y z + x y z - 9/8 x y z - 9/8 x y z + 9/4 x y z - 2 x y z + + 2 2 2 2 2 2 2 + + 4 x y z - 2 x y z - 9/2 x y z , COEFF(0, 1, -1) = 5/8 x z + + 3 2 3 2 2 2 2 3 3 + - 3/8 x z + 4 y z + 3/4 x z - 2 y z - 9/2 y z + 9/4 y z - 2 y z + + 2 3 3 2 2 2 3 2 3 + + 9/4 y z - 1/4 z - 3/8 x z + 1/2 z - 5/4 x z - 1/4 z + 5/8 x z + + 3 2 2 2 3 2 2 3 3 2 3 + - 27/4 x y z + 5 x y z - 3 x y z - 45/8 x y z + 27/8 x y z + + 2 3 3 3 3 2 2 2 3 2 + + 5 x y z - 3 x y z + 27/8 x y z - 45/8 x y z + 6 x y z + + 2 2 2 2 2 2 3 + - 10 x y z + 45/4 x y z , COEFF(1, 1, -1) = - 1/2 x z + 3/8 x z + + 3 2 3 3 2 2 2 3 + - 3/4 x z - 1/8 x z + 3/8 x z + 1/4 x z + x z - 1/8 x z + + 2 3 3 2 2 2 2 2 3 + - 1/2 x z + 27/4 x y z - 9/4 x y z - x y z - 4 x y z + 3 x y z + + 2 3 2 2 3 3 2 3 3 2 3 + + 9/8 x y z + 9/2 x y z - 27/8 x y z - x y z - 4 x y z + + 3 3 3 2 2 2 2 3 2 + + 3 x y z - 27/8 x y z + 9/8 x y z + 9/2 x y z - 6 x y z + + 2 2 2 2 2 2 2 3 + + 8 x y z + 2 x y z - 9 x y z , COEFF(2, 1, -1) = x y z + + 3 2 3 2 3 3 3 2 3 2 3 3 + + 9/8 x y z + 1/8 x z - 1/8 x z + 9/8 x y z + 1/4 x z - x y z + + 2 3 2 2 2 2 3 2 2 2 2 + + 1/8 x z - 1/4 x z - 9/8 x y z - 1/8 x z + x y z + 9/4 x y z + + 3 2 2 2 3 2 2 2 2 3 3 + + 2 x y z - 2 x y z - 9/4 x y z - 9/8 x y z - x y z, + + 2 2 3 2 3 2 3 2 2 + COEFF(-1, 2, -1) = - 3/4 x y z + 1/2 x y z + 3/8 x y z - 3/4 x y z + + 2 3 2 2 2 2 3 2 3 + + 3/8 x y z + 3/8 x y z + 3/2 x y z + 1/2 x y z - 1/4 x y z + + 3 2 2 2 2 3 2 2 3 + - 3/4 x y z - x y z - 1/4 x y z + 1/2 x y z + 1/2 x y z + + 3 3 2 3 2 2 + - 1/4 x y z + 3/8 x y z - 1/4 x y z - 3/4 x y z, COEFF(0, 2, -1) = + + 3 3 2 2 3 2 3 2 2 + 1/2 y z + 9/4 x y z + 3/4 x y z - 5/4 x y z + 5/2 x y z + + 2 2 2 3 2 2 2 2 2 + - 15/4 x y z + 1/2 y z - 3/2 x y z + 15/8 x y z + 3/2 y z + + 2 3 2 3 2 3 2 3 3 3 + - 3/4 y z - y z - 9/8 x y z - 9/8 x y z + 3/4 x y z + + 2 2 3 2 2 3 2 + + 15/8 x y z - 3/4 y z - 5/4 x y z, COEFF(1, 2, -1) = 3/2 x y z + + 3 2 2 2 2 3 3 2 3 2 + + 1/4 x y z + 3 x y z - 3/8 x y z + 9/8 x y z + x y z + + 2 2 3 2 2 3 2 2 + + 3/4 x y z - 3/4 x y z + 1/4 x y z - 3/2 x y z - 3/2 x y z + + 2 3 3 2 3 2 3 2 + - 1/2 x y z - 3/4 x y z + x y z - 3/8 x y z + 9/8 x y z + + 3 2 2 2 2 3 2 2 2 2 3 + - 9/4 x y z - 2 x y z , COEFF(2, 2, -1) = 3/4 x y z + 3/8 x y z + + 3 3 2 2 2 3 2 2 2 + + 1/4 x y z + 3/8 x y z - 1/4 x y z - 1/4 x y z + 1/2 x y z + + 3 2 2 2 2 3 3 2 3 2 3 + - 1/2 x y z - 3/4 x y z + 1/4 x y z - 3/8 x y z - 3/8 x y z , + + 3 2 3 3 2 2 2 + COEFF(-1, -1, 0) = 1/4 x - 5/8 x z + 3/8 x z - 5/8 x z + 5/4 x z + + 3 2 3 3 2 2 3 2 3 3 + + 3/8 x z - 3/4 x z - 15/8 x y z + 3/4 x y - x y + 1/4 x + + 2 2 2 2 2 2 2 3 2 2 3 + - 1/2 x + 2 x y - 15/8 x y z - 3/2 x y + 9/8 x y z - 9/4 x y z + + 3 2 3 3 2 3 3 3 3 2 + + 9/8 x y z - 3/2 x y z + 3 x y z - 3/2 x y z + 5/2 x y z + + 2 2 2 2 2 2 2 + - 5 x y z + 5/2 x y z + 15/4 x y z + 3/4 x y - x y, COEFF(0, -1, 0) + + 2 3 2 2 2 2 3 3 + = -5 y z + 15/8 x z + 15/4 y z - 9/4 y z + 3 y z - 1/2 + 2 y + + 3 3 2 2 2 3 2 3 3 2 2 + - 9/8 x z + 5/4 z - 25/8 x z - 3/4 z + 15/8 x z + 45/8 x y z + + 3 2 3 3 2 2 2 2 2 + - 9/4 x y + 3 x y - 3/4 x + 5/4 x - 3/2 y - 5 x y + 15/4 x y + + 2 2 3 3 2 3 2 3 3 3 + + 45/8 x y z - 27/8 x y z - 15/2 x y z + 9/2 x y z + + 3 2 2 2 2 2 2 + - 15/2 x y z + 25/2 x y z - 75/8 x y z , COEFF(1, -1, 0) = - 1/4 x + + 3 2 3 3 2 2 2 3 2 3 + - 15/8 x z + 9/8 x z + 5/8 x z + 5/2 x z - 3/8 x z - 3/2 x z + + 3 2 2 3 2 3 3 2 2 2 2 + - 45/8 x y z + 9/4 x y - 3 x y + 3/4 x - x + 4 x y + 15/8 x y z + + 2 2 2 3 2 2 3 3 2 3 3 + - 3 x y - 9/8 x y z - 9/2 x y z + 27/8 x y z + 3/2 x y z + + 2 3 3 3 3 2 2 2 2 + + 6 x y z - 9/2 x y z + 15/2 x y z - 10 x y z - 5/2 x y z + + 2 2 2 2 3 2 + + 15/2 x y z - 3/4 x y + x y, COEFF(2, -1, 0) = - 3/4 x y + + 2 3 3 3 3 3 2 2 2 2 + + 3/8 x z - 3/8 x z + x y - 1/4 x + 1/4 x - 5/8 x z - x y + + 3 3 2 2 3 2 2 3 2 2 3 + + 3/2 x y z + 9/8 x y z + 5/2 x y z - 5/2 x y z - 3/2 x y z + + 3 2 3 3 2 3 2 2 2 2 2 2 2 + - 9/8 x y z + 5/8 x z + 15/8 x y z + 3/4 x y - 15/8 x y z , + + 2 3 2 2 2 + COEFF(-1, 0, 0) = - 15/2 x y z + 25/2 x y z - 5 x y + 5/2 x y + + 2 2 2 2 2 3 3 2 2 3 2 3 + - 45/4 x y z + 27/4 x y z + 45/8 x y z - 27/8 x y z + + 2 2 3 3 2 2 3 3 2 + + 9/2 x y + 15/4 x y z - 9/4 x y - 25/4 x y z + 5/2 x y - 9/4 x y + + 2 3 3 2 3 2 2 + - 27/8 x y z - 25/4 x y z + 15/4 x y z + 45/8 x y z , COEFF(0, 0, 0) + + 2 3 2 3 3 2 3 + = -5 y + 9/2 y - 15/2 x y + 75/4 x y z + 81/8 x y z + + 2 2 3 3 2 2 2 2 2 2 3 + - 135/8 x y z - 135/8 x y z - 45/4 x y - 125/4 x y z - 15/2 y z + + 2 2 2 2 2 3 2 2 3 2 + + 25/2 y z + 225/8 x y z + 27/4 y z - 45/4 y z + 27/4 x y + + 3 3 2 3 2 3 + - 45/4 x y z + 25/2 x y + 75/4 x y z , COEFF(1, 0, 0) = - 15/4 x y z + + 2 2 3 3 2 3 2 2 2 3 + + 27/2 x y z - 75/4 x y z + 135/8 x y z + 27/8 x y z + + 2 2 3 2 3 2 3 3 3 + - 45/8 x y z + 15/2 x y + 25/4 x y z - 81/8 x y z + 45/4 x y z + + 2 3 3 2 2 2 2 2 2 2 + - 15 x y z - 27/4 x y - 10 x y + 25 x y z - 5/2 x y - 45/2 x y z + + 2 2 2 3 2 2 2 2 + + 9 x y + 9/4 x y , COEFF(2, 0, 0) = 25/4 x y z + 45/8 x y z + + 3 2 2 2 2 2 3 3 2 3 + + 9/4 x y - 25/4 x y z + 5/2 x y + 15/4 x y z + 27/8 x y z + + 3 3 2 2 3 2 2 3 3 2 2 + - 15/4 x y z - 9/4 x y - 5/2 x y - 27/8 x y z - 45/8 x y z , + + 3 2 3 3 2 2 2 + COEFF(-1, 1, 0) = - 1/4 x + 5/8 x z - 3/8 x z + 5/8 x z - 5/4 x z + + 3 2 3 3 2 2 3 2 3 3 + - 3/8 x z + 3/4 x z - 45/8 x y z + 9/4 x y - 2 x y - 1/4 x + + 2 2 2 2 2 2 2 3 + + 1/2 x + 4 x y - 45/8 x y z - 9/2 x y + 27/8 x y z + + 2 2 3 3 2 3 3 2 3 3 3 + - 27/4 x y z + 27/8 x y z - 3 x y z + 6 x y z - 3 x y z + + 3 2 2 2 2 2 2 2 2 + + 5 x y z - 10 x y z + 5 x y z + 45/4 x y z + 9/4 x y - 2 x y, + + 2 3 2 2 2 2 3 + COEFF(0, 1, 0) = 1/2 - 10 y z - 15/8 x z + 45/4 y z - 27/4 y z + + 3 3 3 2 2 2 3 2 3 + + 6 y z + 4 y + 9/8 x z - 5/4 z + 25/8 x z + 3/4 z - 15/8 x z + + 3 2 2 3 2 3 3 2 2 + + 135/8 x y z - 27/4 x y + 6 x y + 3/4 x - 5/4 x - 9/2 y + + 2 2 2 2 2 3 3 2 3 2 3 + - 10 x y + 45/4 x y + 135/8 x y z - 81/8 x y z - 15 x y z + + 3 3 3 2 2 2 2 2 2 + + 9 x y z - 15 x y z + 25 x y z - 225/8 x y z , COEFF(1, 1, 0) = + + 3 2 3 3 2 2 2 3 + 1/4 x + 15/8 x z - 9/8 x z - 5/8 x z - 5/2 x z + 3/8 x z + + 2 3 3 2 2 3 2 3 3 2 2 + + 3/2 x z - 135/8 x y z + 27/4 x y - 6 x y - 3/4 x + x + 8 x y + + 2 2 2 2 2 3 2 2 3 3 2 3 + + 45/8 x y z - 9 x y - 27/8 x y z - 27/2 x y z + 81/8 x y z + + 3 2 3 3 3 3 2 2 2 2 + + 3 x y z + 12 x y z - 9 x y z + 15 x y z - 20 x y z - 5 x y z + + 2 2 2 2 3 2 + + 45/2 x y z - 9/4 x y + 2 x y, COEFF(2, 1, 0) = - 9/4 x y + + 3 2 2 2 2 2 3 3 3 2 2 + - 5 x y z + 9/4 x y - 1/4 x - 2 x y + 3/8 x z + 45/8 x y z + + 3 3 3 2 3 2 3 3 2 3 2 3 + + 3 x y z - 5/8 x z - 27/8 x y z + 2 x y - 3/8 x z - 3 x y z + + 2 2 2 2 3 3 2 2 2 2 2 + + 5/8 x z + 27/8 x y z + 1/4 x + 5 x y z - 45/8 x y z , + + 2 2 2 3 2 + COEFF(-1, 2, 0) = 1/2 x y + 5/2 x y z - 9/8 x y z - 3/4 x y + + 3 3 3 2 2 3 2 2 3 + + 3/4 x y z + 1/2 x y + 3/2 x y + 15/8 x y z + 3/4 x y z + + 3 2 2 2 2 2 3 2 2 2 + - 5/4 x y z - x y - 15/4 x y z - 3/4 x y + 15/8 x y z + + 3 2 3 2 2 3 2 3 2 + - 9/8 x y z + 9/4 x y z - 3/2 x y z - 5/4 x y z , COEFF(0, 2, 0) + + 3 2 3 2 2 2 2 3 2 + = 9/4 x y + 15/4 x y z - 15/4 x y + 9/4 y z + 5/2 x y + + 3 2 2 3 2 3 2 2 2 2 3 2 + - 45/8 x y z + 27/8 x y z - y - 15/4 y z - 45/8 x y z + 3/2 y + + 2 2 3 2 3 2 2 2 2 + - 25/4 x y z - 3/2 x y + 15/4 x y z + 5/2 y z + 75/8 x y z + + 3 3 3 3 3 2 2 + - 3/2 y z - 9/4 x y z , COEFF(1, 2, 0) = 3/2 x y + 45/8 x y z + + 2 2 2 2 2 2 2 3 2 + + 3 x y - 15/8 x y z + 3/4 x y + 5 x y z - 9/4 x y + + 2 2 2 3 2 2 2 3 3 3 + - 15/2 x y z - 15/4 x y z + 5/4 x y z + 9/8 x y z + 9/4 x y z + + 2 2 2 3 2 3 3 2 3 3 + - 1/2 x y - 2 x y + 9/2 x y z - 3 x y z - 27/8 x y z - 3/4 x y z + + 3 2 2 2 2 2 2 3 2 + , COEFF(2, 2, 0) = 5/4 x y z - 5/4 x y z + 15/8 x y z + 3/4 x y + + 2 3 2 2 2 3 3 3 3 2 2 + + 3/4 x y z + 1/2 x y - 9/8 x y z - 3/4 x y z - 15/8 x y z + + 2 2 3 3 2 3 2 + - 3/4 x y - 1/2 x y + 9/8 x y z , COEFF(-1, -1, 1) = - 1/4 x z + + 3 3 2 3 3 2 2 2 3 + + 1/8 x z + 1/2 x z + 1/8 x z - 3/8 x z + 1/2 x z - x z - 3/8 x z + + 2 3 3 2 2 2 2 2 3 + + 3/4 x z + 3/2 x y z + 3/2 x y z - 1/2 x y z + x y z - 1/2 x y z + + 2 3 2 2 3 3 2 3 3 2 3 + - 9/8 x y z + 9/4 x y z - 9/8 x y z + 3/2 x y z - 3 x y z + + 3 3 3 2 2 2 2 3 2 + + 3/2 x y z + 3/8 x y z + 3/8 x y z - 3/4 x y z - 2 x y z + + 2 2 2 2 2 2 2 3 + + 4 x y z - 2 x y z - 3 x y z , COEFF(0, -1, 1) = 5/8 x z - 3/8 x z + + 2 3 2 2 2 2 3 3 2 + + 4 y z - 3/2 x z + y z - 3 y z + 9/4 y z - 3 y z - 3/4 y z + + 3 3 2 2 2 3 2 3 3 2 2 + - 1/4 z + 9/8 x z - z + 5/2 x z + 3/4 z - 15/8 x z - 9/2 x y z + + 2 3 2 2 3 3 2 3 2 3 + - 5/2 x y z + 3/2 x y z - 45/8 x y z + 27/8 x y z + 15/2 x y z + + 3 3 3 2 2 2 3 2 2 2 + - 9/2 x y z - 9/8 x y z + 15/8 x y z + 6 x y z - 10 x y z + + 2 2 2 2 3 3 2 + + 15/2 x y z , COEFF(1, -1, 1) = - 1/2 x z + 3/8 x z + 3/2 x z + + 3 3 2 2 2 3 2 3 + - 1/8 x z - 9/8 x z - 1/2 x z - 2 x z + 3/8 x z + 3/2 x z + + 3 2 2 2 2 2 3 + + 9/2 x y z - 3/2 x y z + 1/2 x y z + 2 x y z - 3/2 x y z + + 2 3 2 2 3 3 2 3 3 2 3 + + 9/8 x y z + 9/2 x y z - 27/8 x y z - 3/2 x y z - 6 x y z + + 3 3 3 2 2 2 2 3 2 + + 9/2 x y z + 9/8 x y z - 3/8 x y z - 3/2 x y z - 6 x y z + + 2 2 2 2 2 2 2 2 + + 8 x y z + 2 x y z - 6 x y z , COEFF(2, -1, 1) = -2 x y z + + 3 2 3 2 2 2 2 3 2 2 2 + + 9/8 x y z + 1/8 x z + 3/2 x y z - 3/2 x y z - 1/2 x y z + + 2 3 3 2 3 3 3 2 2 2 3 + - 3/8 x z - 3/8 x y z + 3/8 x z - 1/2 x z - 9/8 x y z + + 3 2 2 2 3 3 2 2 2 3 + + 2 x y z + 3/8 x y z - 3/2 x y z + 1/2 x z + 3/2 x y z + + 3 3 3 3 2 3 + + 1/2 x y z - 1/8 x z, COEFF(-1, 0, 1) = 5/4 x y z + 27/8 x y z + + 2 2 3 2 2 2 2 2 + - 27/4 x y z + 5/4 x y z - 10 x y z + 5 x y z - 9/2 x y z + + 3 2 2 2 3 3 3 3 2 2 + + 5 x y z - 5/2 x y z + 15/2 x y z - 15/4 x y z - 9/2 x y z + + 2 2 3 2 2 2 3 3 + + 9/4 x y z - 9/8 x y z - 9/8 x y z + 27/8 x y z - 15/4 x y z + + 2 2 2 2 3 2 2 3 + + 9 x y z , COEFF(0, 0, 1) = - 5/2 y z - 27/4 y z + 135/8 x y z + + 2 2 2 2 3 2 2 2 2 3 2 + - 45/2 x y z - 75/4 x y z + 9 y z + 25 x y z + 27/8 x y z + + 3 3 3 2 3 3 2 2 2 2 + + 45/4 x y z - 81/8 x y z + 27/2 x y z + 25/4 x y z + 9/4 y z + + 3 3 2 2 2 3 2 + + 15/2 y z - 15/4 x y z - 45/8 x y z - 10 y z - 15 x y z , + + 2 3 2 2 2 3 + COEFF(1, 0, 1) = - 27/8 x y z - 5 x y z + 9/8 x y z + 15 x y z + + 2 2 2 3 3 2 3 3 + + 18 x y z - 5/4 x y z + 15/4 x y z + 81/8 x y z + 15/4 x y z + + 3 2 3 2 2 2 2 2 3 3 2 2 + + 15 x y z - 27/8 x y z - 20 x y z - 27/2 x y z - 27/2 x y z + + 2 2 2 3 3 2 2 + - 5 x y z + 9/2 x y z - 45/4 x y z + 9/2 x y z , COEFF(2, 0, 1) = + + 2 2 2 2 2 3 2 3 2 3 3 + - 9/2 x y z + 5 x y z - 27/8 x y z - 15/4 x y z - 5/4 x y z + + 2 2 3 3 2 2 2 3 3 3 2 2 + + 27/8 x y z - 5 x y z - 9/8 x y z + 15/4 x y z + 9/2 x y z + + 2 3 2 2 3 + + 5/4 x y z + 9/8 x y z, COEFF(-1, 1, 1) = 1/4 x z - 1/8 x z + + 3 2 3 3 2 2 2 3 + - 1/2 x z - 1/8 x z + 3/8 x z - 1/2 x z + x z + 3/8 x z + + 2 3 3 2 2 2 2 2 3 + - 3/4 x z + 9/2 x y z + 9/2 x y z - x y z + 2 x y z - x y z + + 2 3 2 2 3 3 2 3 3 2 3 + - 27/8 x y z + 27/4 x y z - 27/8 x y z + 3 x y z - 6 x y z + + 3 3 3 2 2 2 2 3 2 + + 3 x y z + 9/8 x y z + 9/8 x y z - 9/4 x y z - 4 x y z + + 2 2 2 2 2 2 2 + + 8 x y z - 4 x y z - 9 x y z , COEFF(0, 1, 1) = - 5/8 x z + + 3 2 3 2 2 2 2 3 3 + + 3/8 x z + 8 y z + 3/2 x z + 2 y z - 9 y z + 27/4 y z - 6 y z + + 2 3 3 2 2 2 3 2 3 + - 9/4 y z + 1/4 z - 9/8 x z + z - 5/2 x z - 3/4 z + 15/8 x z + + 3 2 2 2 3 2 2 3 3 2 3 + - 27/2 x y z - 5 x y z + 3 x y z - 135/8 x y z + 81/8 x y z + + 2 3 3 3 3 2 2 2 3 2 + + 15 x y z - 9 x y z - 27/8 x y z + 45/8 x y z + 12 x y z + + 2 2 2 2 2 2 3 + - 20 x y z + 45/2 x y z , COEFF(1, 1, 1) = 1/2 x z - 3/8 x z + + 3 2 3 3 2 2 2 3 + - 3/2 x z + 1/8 x z + 9/8 x z + 1/2 x z + 2 x z - 3/8 x z + + 2 3 3 2 2 2 2 2 3 + - 3/2 x z + 27/2 x y z - 9/2 x y z + x y z + 4 x y z - 3 x y z + + 2 3 2 2 3 3 2 3 3 2 3 + + 27/8 x y z + 27/2 x y z - 81/8 x y z - 3 x y z - 12 x y z + + 3 3 3 2 2 2 2 3 2 + + 9 x y z + 27/8 x y z - 9/8 x y z - 9/2 x y z - 12 x y z + + 2 2 2 2 2 2 3 2 + + 16 x y z + 4 x y z - 18 x y z , COEFF(2, 1, 1) = 4 x y z + + 2 3 2 2 3 2 2 3 2 3 3 2 + + 3 x y z - 4 x y z - 9/2 x y z + 27/8 x y z - 9/8 x y z + + 3 2 2 2 2 2 3 3 3 3 2 + + 1/2 x z + 9/2 x y z + 3/8 x z + x y z - 3/8 x z - 1/8 x z + + 3 3 3 2 2 2 2 2 2 2 3 + + 1/8 x z - 3 x y z - 1/2 x z - x y z + 9/8 x y z - 27/8 x y z , + + 2 2 3 3 2 3 3 3 2 + COEFF(-1, 2, 1) = - 9/4 x y z - 3/8 x y z - 3/4 x y z + x y z + + 3 2 2 3 2 3 2 2 3 + + 1/4 x y z - 3/2 x y z + 9/8 x y z + x y z + 9/8 x y z + + 2 2 2 2 2 3 3 + + 3 x y z - 3/8 x y z + 3/2 x y z - 3/4 x y z + 1/4 x y z + + 3 2 2 2 2 2 2 2 + - 3/2 x y z - 2 x y z + 3/4 x y z - 1/2 x y z, COEFF(0, 2, 1) = + + 2 3 3 2 3 3 2 2 2 2 3 + -2 y z + 9/4 x y z - 15/4 x y z + 9/2 x y z + 45/8 x y z + + 2 2 2 2 2 2 3 3 + + 3 y z + 5 x y z + 5/4 x y z - 9/4 y z - 3/4 x y z + + 2 2 2 2 3 3 2 + - 15/2 x y z + 3/4 y z - 1/2 y z + 3/2 y z + 9/8 x y z + + 3 2 3 3 2 2 2 + - 27/8 x y z - 3 x y z - 15/8 x y z, COEFF(1, 2, 1) = - 1/4 x y z + + 2 2 2 3 2 2 2 2 2 3 + - x y z + 3/2 x y z - 9/2 x y z + 6 x y z + 3/4 x y z + + 2 3 3 2 2 2 3 3 3 + + 3 x y z - 9/8 x y z - 4 x y z - 9/4 x y z + 3/4 x y z + + 2 3 3 2 3 2 3 2 2 3 2 + - 9/8 x y z + 3 x y z + 27/8 x y z - 9/2 x y z + 3/8 x y z + + 2 2 2 3 2 3 3 2 2 + + 3/2 x y z - x y z , COEFF(2, 2, 1) = - 9/8 x y z + 3/2 x y z + + 3 2 2 2 2 3 3 3 3 + + 3/8 x y z + 1/4 x y z + 9/8 x y z + 3/4 x y z - 1/4 x y z + + 2 3 2 2 3 2 2 2 2 2 2 + - 3/4 x y z + x y z - x y z - 3/8 x y z - 3/2 x y z , + + 2 2 2 2 2 2 3 3 + COEFF(-1, -1, 2) = - 1/8 x z - 3/8 x y z + 3/4 x y z - 1/2 x y z + + 3 2 2 3 2 2 3 3 2 3 3 + - 1/8 x z - 1/4 x z - 3/4 x y z + 3/8 x y z + 1/8 x z + + 3 2 2 2 3 3 3 2 2 2 2 + - 3/8 x y z + 3/8 x y z + 1/8 x z - x y z + 1/4 x z + + 3 2 3 2 3 2 + + 1/2 x y z - 1/2 x y z + x y z + 1/2 x y z , COEFF(0, -1, 2) = + + 2 3 3 2 2 2 2 2 2 2 2 2 + - 5/2 x y z + 3/8 x z - 5/8 x z - 15/8 x y z + 1/4 z + 3/4 y z + + 2 3 3 2 2 3 3 3 3 2 + + 5/8 x z + 9/8 x y z - 1/4 z - 3/8 x z - 3/2 x y z + + 2 2 2 3 3 3 2 3 2 3 + + 5/2 x y z - 3/4 y z + 3/2 x y z - y z - 9/8 x y z + + 2 2 3 3 3 2 2 2 3 + + 15/8 x y z + y z , COEFF(1, -1, 2) = - 3/8 x z - 3/2 x y z + + 2 3 3 2 3 3 3 2 2 2 3 + - 1/2 x z + 9/8 x y z - 1/8 x z - 9/8 x y z + 2 x y z + + 2 2 2 2 2 2 3 3 3 2 + + 3/2 x y z + 1/8 x z + 1/2 x z - 3/2 x y z + 3/2 x y z + + 2 3 2 2 2 3 2 2 + - 1/2 x y z + 1/2 x y z - 2 x y z - 3/8 x y z + 3/8 x y z + + 3 3 2 2 2 3 2 2 + + 3/8 x z , COEFF(2, -1, 2) = - 3/8 x y z + 3/8 x y z + + 2 2 3 3 3 2 3 3 2 3 3 2 + + 3/8 x y z - 1/8 x z + 1/8 x z - 3/8 x y z - 1/2 x y z + + 2 2 2 2 2 3 3 3 3 2 + - 1/8 x z + 1/2 x y z - 1/2 x y z + 1/2 x y z + 1/8 x z , + + 2 3 3 2 3 2 2 3 + COEFF(-1, 0, 2) = - 9/8 x y z + 5/4 x y z - 5/2 x y z + 9/4 x y z + + 3 2 3 2 2 2 2 2 2 2 3 2 + - 9/8 x y z - 9/4 x y z + 9/8 x y z + 5/2 x y z - 5/4 x y z + + 2 3 3 3 2 2 3 2 3 + - 5/4 x y z + 5/4 x y z + 9/8 x y z , COEFF(0, 0, 2) = 27/8 x y z + + 3 3 2 2 2 3 3 3 2 + - 15/4 x y z - 25/4 x y z + 9/4 y z - 5/2 y z + 15/4 x y z + + 2 2 2 2 2 3 2 3 2 2 3 2 2 + + 45/8 x y z - 45/8 x y z + 25/4 x y z - 9/4 y z - 27/8 x y z + + 2 3 3 3 2 2 3 + + 5/2 y z , COEFF(1, 0, 2) = 15/4 x y z + 27/8 x y z - 5/4 x y z + + 2 2 2 2 2 3 2 2 2 3 3 2 + - 9/2 x y z + 9/2 x y z - 9/8 x y z + 9/8 x y z - 15/4 x y z + + 2 2 3 3 2 3 2 2 + + 5/4 x y z - 5 x y z - 27/8 x y z + 5 x y z , COEFF(2, 0, 2) = + + 3 2 2 3 2 3 2 2 2 3 3 3 2 + - 9/8 x y z + 9/8 x y z + 9/8 x y z - 5/4 x y z + 5/4 x y z + + 2 2 3 2 2 2 3 2 3 + - 9/8 x y z - 5/4 x y z + 5/4 x y z , COEFF(-1, 1, 2) = 2 x y z + + 3 3 3 2 2 2 2 3 2 2 3 + - 1/8 x z + x y z - 1/4 x z + x y z - 1/8 x z - 9/4 x y z + + 2 2 3 2 2 3 2 2 3 2 2 2 + - 9/8 x y z - 9/8 x y z + 1/8 x z + 1/4 x z + 9/4 x y z + + 3 2 3 3 2 3 3 3 2 2 2 + + 9/8 x y z - x y z + 9/8 x y z - x y z - 2 x y z + 1/8 x z , + + 2 3 2 2 3 2 3 2 + COEFF(0, 1, 2) = - 9/4 y z + 5/8 x z - 27/8 x y z - 2 y z + + 2 3 2 3 3 2 2 3 3 2 2 3 + - 5 x y z - 1/4 z + 1/4 z + 27/8 x y z + 3 x y z + 45/8 x y z + + 2 2 2 2 2 3 3 2 2 3 2 2 + + 9/4 y z - 45/8 x y z + 2 y z - 3/8 x z - 5/8 x z + 5 x y z + + 3 2 3 3 3 2 2 3 3 + - 3 x y z + 3/8 x z , COEFF(1, 1, 2) = 3 x y z - 9/8 x y z + x y z + + 2 2 2 2 3 3 2 3 3 3 3 + - 1/2 x z - 9/2 x y z + 27/8 x y z - 3/8 x z + 1/8 x z + + 2 3 3 2 3 2 3 3 2 2 + - 1/8 x z - 3 x y z + 1/2 x z + 4 x y z - 27/8 x y z + + 2 2 3 2 2 2 2 2 2 2 + + 9/8 x y z + 3/8 x z + 9/2 x y z - 4 x y z - x y z , + + 3 3 2 3 2 2 3 2 2 2 + COEFF(2, 1, 2) = 1/8 x z - x y z + x y z - x y z + 1/8 x z + + 2 3 2 2 3 3 3 3 2 3 3 2 2 + - 1/8 x z + 9/8 x y z + x y z - 9/8 x y z + 9/8 x y z + + 3 2 2 2 2 2 3 2 2 3 + - 1/8 x z - 9/8 x y z , COEFF(-1, 2, 2) = - 3/8 x y z + 3/4 x y z + + 2 2 2 2 3 2 3 3 3 + - 3/4 x y z - 1/4 x y z + 1/4 x y z - 1/2 x y z + 1/4 x y z + + 3 2 3 2 3 2 2 2 2 3 2 2 + - 1/4 x y z - 3/8 x y z + 1/2 x y z + 3/8 x y z + 3/8 x y z , + + 2 2 3 2 2 2 2 2 2 3 + COEFF(0, 2, 2) = - 3/4 y z + 3/4 x y z + 15/8 x y z - 15/8 x y z + + 2 2 3 2 2 3 2 3 3 3 2 3 + - 5/4 x y z - 9/8 x y z + 9/8 x y z - 3/4 x y z + 3/4 y z + + 3 2 3 2 3 + - 1/2 y z + 5/4 x y z + 1/2 y z , COEFF(1, 2, 2) = - 1/4 x y z + + 2 3 2 2 2 2 2 2 2 2 2 3 + + 3/8 x y z + x y z - 3/8 x y z - 3/2 x y z + 3/2 x y z + + 3 2 3 2 3 2 3 2 3 2 2 + - 9/8 x y z - x y z + 1/4 x y z - 3/4 x y z + 9/8 x y z + + 3 3 2 2 2 2 2 3 2 3 + + 3/4 x y z , COEFF(2, 2, 2) = 3/8 x y z - 1/4 x y z + 3/8 x y z + + 2 3 3 2 2 3 2 2 2 3 3 3 + + 1/4 x y z - 3/8 x y z + 1/4 x y z - 3/8 x y z - 1/4 x y z ] + +> print_coeff__lc_of_data(%, "coeff_dy_", "fp", +> "3d.coeffs/3d.cube.order2/coeff-dy.compute.c"); +bytes used=904721100, alloc=8976788, time=105.24 +bytes used=905721308, alloc=8976788, time=105.31 +bytes used=906721472, alloc=8976788, time=105.39 +bytes used=907721944, alloc=8976788, time=105.48 +bytes used=908722404, alloc=8976788, time=105.56 +bytes used=909722920, alloc=8976788, time=105.64 +bytes used=910723252, alloc=8976788, time=105.74 +bytes used=911723472, alloc=8976788, time=105.90 +bytes used=912723624, alloc=8976788, time=106.00 +bytes used=913729764, alloc=8976788, time=106.09 +bytes used=914730108, alloc=8976788, time=106.18 +bytes used=915730332, alloc=8976788, time=106.28 +bytes used=916730484, 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alloc=8976788, time=155.05 +bytes used=1234196132, alloc=8976788, time=155.13 +bytes used=1235196780, alloc=8976788, time=155.22 +bytes used=1236197596, alloc=8976788, time=155.31 +bytes used=1237197760, alloc=8976788, time=155.40 +bytes used=1238197928, alloc=8976788, time=155.48 +bytes used=1239198608, alloc=8976788, time=155.57 +bytes used=1240198732, alloc=8976788, time=155.66 +bytes used=1241198912, alloc=8976788, time=155.75 +bytes used=1242199120, alloc=8976788, time=155.85 +bytes used=1243199432, alloc=8976788, time=155.93 +bytes used=1244199628, alloc=8976788, time=156.02 +- 5/4 x y z DATA(-1, -1, 0) - 1/4 x y z DATA(-1, -1, 2) + + + 5/4 x y z DATA(-1, 1, 0) + 1/4 x y z DATA(-1, 1, 2) + + 3 3 + - 1/4 x y z DATA(-1, -1, 2) + 1/4 x y z DATA(2, -1, 2) + + 2 2 + - 5 x y z DATA(1, 1, 0) - 5/2 x y z DATA(1, -1, 0) + + 2 2 + + 25/4 x y z DATA(1, 0, 0) + 5/4 x y z DATA(1, 2, 0) + + 2 2 + - 5/4 x y z DATA(-1, 2, 0) - 25/4 x y z DATA(-1, 0, 0) + + 2 2 + - 5/4 x y z DATA(-1, 0, 2) + 5/4 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y x DATA(1, -1, 1) + 3/8 z y x DATA(-1, 2, -1) + + 2 3 3 2 3 3 + + 9/8 z y x DATA(-1, 2, 1) + 27/8 z y x DATA(-1, 0, 1) + + 2 3 3 2 3 3 + - 9/8 z y x DATA(-1, -1, 1) - 81/8 z y x DATA(0, 1, 0) + + 2 3 3 2 3 3 + - 81/8 z y x DATA(1, 1, 1) + 27/8 z y x DATA(0, 0, 2) + + 2 3 3 3 2 + - 9/8 z y x DATA(-1, 1, -1) - 9/4 y z DATA(0, 1, 2) + + 2 3 3 2 3 3 + - 9/8 z y x DATA(-1, 0, 2) - 27/8 z y x DATA(1, 0, 2) + + 2 3 3 + - 3/8 z y x DATA(-1, 2, 2) + 4 z DATA(0, 0, 1) + + 2 3 3 2 3 3 + + 9/8 z y x DATA(1, -1, 2) - 9/8 z y x DATA(2, 1, 2) + + 2 3 3 2 3 3 + + 27/8 z y x DATA(-1, 1, 0) + 27/8 z y x DATA(2, 1, 1) + + 3 2 2 3 3 + + 9/4 y z DATA(0, 0, 2) + 9/8 z y x DATA(0, -1, -1) + + 2 3 3 2 3 3 + + 27/8 z y x DATA(0, -1, 1) + 9/8 z y x DATA(2, 1, -1) + +> coeff_as_lc_of_data(%, posn_list_3d_size4); +bytes used=1245245496, alloc=8976788, time=156.11 +bytes used=1246429088, alloc=8976788, time=156.21 +bytes used=1247613296, alloc=8976788, time=156.31 +bytes used=1248706080, alloc=8976788, time=156.40 +bytes used=1249718396, alloc=8976788, time=156.49 +bytes used=1250725448, alloc=8976788, time=156.58 +bytes used=1251725588, alloc=8976788, time=156.68 +bytes used=1252743328, alloc=8976788, time=156.77 +bytes used=1253770632, alloc=8976788, time=156.87 +bytes used=1254832980, alloc=8976788, time=156.97 +bytes used=1255850352, alloc=8976788, time=157.07 +bytes used=1256850648, alloc=8976788, time=157.18 +bytes used=1257850788, alloc=8976788, time=157.29 +bytes used=1258871312, alloc=8976788, time=157.36 +bytes used=1259914748, alloc=8976788, time=157.42 +bytes used=1260957960, alloc=8976788, time=157.48 + 3 2 2 3 3 3 2 3 2 +[COEFF(-1, -1, -1) = 3/4 x y z - 1/8 y x + 1/4 x y - 1/8 x y + 1/4 x y + + 2 3 2 2 2 2 3 2 2 3 2 + + 3/4 x y z + 3/4 x y z + 1/4 x y - 1/2 x y - 3/8 x y z + + 2 3 3 3 3 3 2 3 + - 3/8 z y x + 1/2 z y x - 1/8 x y + 1/2 x y z - x y z + 1/2 x y z + + 3 2 2 2 2 3 3 2 2 2 + - x y z - x y z + 2 x y z + 1/2 x y z - 3/8 x y z + 3/4 x y z + + 2 2 3 2 2 2 2 + - 3/8 x y z - x y z - 3/2 x y z + 1/4 x y - 1/8 x y, + + 2 2 2 3 2 3 2 + COEFF(0, -1, -1) = 3/4 y z - y z - 3/2 y z + 3/4 y z - y z + 2 y z + + 3 2 2 3 3 3 2 3 2 + + 1/4 y - 9/4 x y z + 3/8 y x - 3/4 x y + 3/8 x y - 1/2 y + + 2 2 3 2 3 2 3 2 2 2 3 3 + - 5/8 x y - 15/8 x y z + 1/4 y - 5/8 x y + 5/4 x y + 9/8 z y x + + 3 3 2 3 3 2 2 2 + - 3/2 z y x + 5/2 x y z - 3/2 x y z + 3 x y z - 5 x y z + + 3 2 2 2 2 3 2 2 2 + + 9/8 x y z - 15/8 x y z + 5/2 x y z + 15/4 x y z , + + 3 2 2 3 3 3 2 3 + COEFF(1, -1, -1) = 9/4 x y z - 3/8 y x + 3/4 x y - 3/8 x y + + 2 2 3 2 2 2 2 3 2 2 3 2 + + 1/2 x y + 3/2 x y z - 3/4 x y z + 1/2 x y - x y + 3/8 x y z + + 2 3 3 3 3 3 2 + - 9/8 z y x + 3/2 z y x + 1/8 x y - 1/2 x y z - 2 x y z + + 3 3 2 2 2 2 3 3 2 + + 3/2 x y z - 3 x y z + x y z + 4 x y z - 1/2 x y z - 9/8 x y z + + 2 2 2 2 3 2 2 2 2 + + 3/2 x y z + 3/8 x y z - 2 x y z - 3 x y z - 1/4 x y + 1/8 x y, + + 3 3 2 2 2 3 2 3 2 + COEFF(2, -1, -1) = 1/8 y x - 1/8 x y + 1/4 x y + x y z + 3/8 x y z + + 3 2 2 2 3 2 2 2 3 2 2 2 + - 3/4 x y z - 1/8 x y - x y z - 3/8 x y z - 3/8 x y z + + 3 3 3 3 2 3 3 2 + + 1/8 x y - 1/2 x y z - 1/2 z y x + 1/2 x y z - 1/4 x y + + 2 2 3 3 2 2 2 + + 1/2 x y z + 3/8 z y x + 3/4 x y z , COEFF(-1, 0, -1) = 1/4 x + + 2 3 3 2 2 2 2 3 2 2 + + 2 x z - x z + 3/4 x z - x z + 3/4 x z - 3/2 x z - 15/8 x y z + + 3 3 3 2 3 2 2 3 2 2 2 + + 3/8 y x - 5/8 x y + 1/4 x - 1/2 x - 9/4 x y z - 15/8 x y z + + 2 3 2 2 3 2 2 3 3 3 3 + - 3/4 x y + 5/4 x y + 9/8 x y z + 9/8 z y x - 3/2 z y x + + 3 3 2 2 2 2 3 2 3 + + 3/8 x y + 5/2 x y z + 5/2 x y z - 5 x y z - 3/2 x y z + 3 x y z + + 2 2 2 2 2 3 3 2 + + 15/4 x y z - 5/8 x y , COEFF(0, 0, -1) = -5 x z + 3 x z - 9/4 x z + + 2 2 3 2 3 2 2 + + 15/4 y z - 9/4 y z + 3 y z - 5 y z - 1/2 + 2 z - 3/2 z + + 2 2 3 2 2 3 3 3 2 3 2 + + 15/4 x z + 45/8 x y z - 9/8 y x + 15/8 x y - 3/4 x + 5/4 x + + 2 2 3 2 3 2 3 2 2 + + 5/4 y + 45/8 x y z - 3/4 y + 15/8 x y - 25/8 x y + + 2 3 3 3 3 3 2 2 2 2 3 + - 27/8 z y x + 9/2 z y x - 15/2 x y z + 25/2 x y z - 15/2 x y z + + 2 2 2 2 3 3 2 + - 75/8 x y z , COEFF(1, 0, -1) = - 1/4 x + 4 x z - 3 x z + 9/4 x z + + 2 2 2 3 2 2 3 3 3 2 + + x z - 3/4 x z - 3 x z - 45/8 x y z + 9/8 y x - 15/8 x y + + 3 2 2 3 2 2 2 2 3 2 2 + + 3/4 x - x - 9/2 x y z + 15/8 x y z - 3/2 x y + 5/2 x y + + 3 2 2 3 3 3 3 3 3 2 + - 9/8 x y z + 27/8 z y x - 9/2 z y x - 3/8 x y + 15/2 x y z + + 2 2 2 3 2 3 2 2 2 + - 5/2 x y z - 10 x y z + 3/2 x y z + 6 x y z + 15/2 x y z + + 2 3 3 2 3 2 + + 5/8 x y , COEFF(2, 0, -1) = 3/2 z y x - 3/2 x y z - x z + + 3 2 2 2 3 3 3 3 2 2 2 3 + + 15/8 x y z - 9/8 z y x - 3/8 y x + 5/2 x y z + 3/8 x y + + 3 2 3 2 2 3 2 3 2 2 2 + + 5/8 x y - 1/4 x + 3/4 x z - 5/2 x y z - 3/4 x z - 5/8 x y + + 3 2 3 2 2 2 2 2 + + x z + 9/8 x y z - 15/8 x y z + 1/4 x , COEFF(-1, 1, -1) = + + 3 2 2 3 3 3 2 3 2 2 3 2 + 3/2 x y z - 3/8 y x + 1/2 x y + 1/8 x y - 1/4 x y + 9/4 x y z + + 2 2 2 3 2 2 3 2 2 3 3 + + 3/2 x y z + 3/4 x y - x y - 9/8 x y z - 9/8 z y x + + 3 3 3 2 3 3 2 + + 3/2 z y x - 3/8 x y - 1/2 x y z + x y z - 1/2 x y z - 2 x y z + + 2 2 2 3 3 2 2 2 + - 2 x y z + 4 x y z + 3/2 x y z + 3/8 x y z - 3/4 x y z + + 2 2 3 2 2 2 2 + + 3/8 x y z - 3 x y z - 3 x y z + 1/2 x y + 1/8 x y, + + 2 2 2 3 2 3 2 + COEFF(0, 1, -1) = - 3/4 y z + y z - 3 y z + 9/4 y z - 3 y z + 4 y z + + 3 2 2 3 3 3 2 3 2 2 + - 1/4 y - 9/2 x y z + 9/8 y x - 3/2 x y - 3/8 x y - y + 5/8 x y + + 2 3 2 3 2 3 2 2 2 3 3 + - 45/8 x y z + 3/4 y - 15/8 x y + 5/2 x y + 27/8 z y x + + 3 3 2 3 3 2 2 2 + - 9/2 z y x - 5/2 x y z + 3/2 x y z + 6 x y z - 10 x y z + + 3 2 2 2 2 3 2 2 2 + - 9/8 x y z + 15/8 x y z + 15/2 x y z + 15/2 x y z , + + 3 2 2 3 3 3 2 3 + COEFF(1, 1, -1) = 9/2 x y z - 9/8 y x + 3/2 x y + 3/8 x y + + 2 2 3 2 2 2 2 3 2 2 + - 1/2 x y + 9/2 x y z - 3/2 x y z + 3/2 x y - 2 x y + + 3 2 2 3 3 3 3 3 + + 9/8 x y z - 27/8 z y x + 9/2 z y x + 3/8 x y + 1/2 x y z + + 2 3 3 2 2 2 2 3 + + 2 x y z - 3/2 x y z - 6 x y z + 2 x y z + 8 x y z - 3/2 x y z + + 3 2 2 2 2 2 3 2 2 2 + + 9/8 x y z - 3/2 x y z - 3/8 x y z - 6 x y z - 6 x y z + + 2 2 3 3 3 3 + - 1/2 x y - 1/8 x y, COEFF(2, 1, -1) = 9/8 z y x - 3/2 z y x + + 3 2 3 2 2 3 2 3 3 + + 1/2 x y z + 3/2 x y z - 1/2 x y z + 1/8 x y + 2 x y z + 3/8 y x + + 3 2 2 2 2 3 2 3 2 2 2 2 + - 1/2 x y - 2 x y z - 9/8 x y z - 3/8 x y z + 3/2 x y z + + 3 2 3 2 2 2 2 3 2 2 + - 1/8 x y - 3/8 x y + 3/8 x y z + 1/2 x y - 3/2 x y z , + + 2 2 2 2 2 2 3 3 + COEFF(-1, 2, -1) = -x y z + 1/2 x y z + 3/4 x y z - 1/2 z y x + + 2 3 2 2 2 2 3 3 3 3 + - 3/4 x y z + 1/4 x y + 3/8 z y x - 1/2 x y z + 1/8 x y + + 3 2 2 3 3 3 3 2 2 2 3 2 + + 3/8 x y z + x y z + 1/8 y x - 3/8 x y z - 1/4 x y - 1/8 x y + + 3 2 3 2 2 2 2 2 + - 1/8 x y + 1/2 x y z - 3/8 x y z , COEFF(0, 2, -1) = - 5/8 x y + + 3 2 2 2 2 2 3 2 2 2 3 2 + + 3/8 x y + 5/2 x y z + 1/4 y + 5/8 x y + 3/4 y z + 15/8 x y z + + 2 3 3 3 3 3 2 2 2 3 3 3 + - 9/8 z y x + 3/2 z y x + 9/8 x y z - 5/2 x y z - 3/8 y x + + 3 2 3 2 3 3 2 2 2 2 + - 3/4 y z - 3/2 x y z + y z - 1/4 y - y z - 15/8 x y z , + + 2 3 3 2 2 2 2 2 3 2 + COEFF(1, 2, -1) = 9/8 z y x - 2 x y z + 3/2 x y z + 3/2 x y z + + 2 2 2 3 3 3 2 3 + + 3/8 x y z - 1/2 x y z + 3/8 y x - 3/8 x y + 1/2 x y z + + 2 2 2 3 3 3 2 3 3 2 2 + + 1/2 x y + 2 x y z - 3/2 z y x + 1/8 x y - 1/8 x y - 9/8 x y z + + 2 3 2 3 2 2 3 2 2 + - 3/2 x y z - 3/8 x y z - 1/2 x y , COEFF(2, 2, -1) = - 1/8 x y + + 2 3 3 3 2 3 3 3 2 2 2 + - 1/2 x y z - 1/8 y x - 3/8 z y x - 1/2 x y z + 1/2 x y z + + 2 2 2 2 3 3 2 2 3 2 3 2 2 + - 3/8 x y z + 1/8 x y + 1/8 x y + 3/8 x y z + 3/8 x y z + + 3 3 2 2 3 3 2 + + 1/2 z y x , COEFF(-1, -1, 0) = - 9/4 x y z - 5/4 z y x + 9/8 x y z + + 3 2 3 2 2 3 2 3 2 + + 5/2 x y z - 9/4 x y z + 9/8 x y z - 5/4 x y z + 5/2 x y z + + 3 2 3 2 2 3 3 2 3 + + 9/8 x y z - 5/4 x y z + 5/2 x y z + 9/8 z y x + 5/2 x y z + + 2 3 2 2 2 2 2 2 2 2 + - 5/4 x y z - 9/4 x y z - 5 x y z - 9/4 x y z + 9/2 x y z , + + 3 2 2 3 + COEFF(0, -1, 0) = 15/4 x y z - 25/4 x y z - 25/4 x y z + 5/2 y z + + 2 3 3 2 3 2 3 2 2 2 2 2 + - 27/8 z y x + 45/8 x y z - 27/8 x y z - 9/4 y z - 45/4 x y z + + 3 3 2 2 3 2 2 2 2 2 2 + + 5/2 y z + 27/4 x y z - 9/4 y z + 45/8 x y z + 9/2 y z - 5 y z + + 3 2 3 3 2 2 + - 15/2 x y z + 15/4 z y x + 25/2 x y z, COEFF(1, -1, 0) = + + 2 3 3 2 2 3 3 2 2 2 + 27/8 z y x - 10 x y z - 15/4 z y x + 9 x y z + 5/4 x y z + + 2 2 2 2 3 2 3 2 3 2 2 + + 9/4 x y z - 9/2 x y z - 15/4 x y z - 9/2 x y z - 27/4 x y z + + 3 2 3 2 2 2 2 3 + + 15/2 x y z + 27/8 x y z + 5 x y z - 9/8 x y z + 5 x y z + + 2 3 3 2 3 2 + - 5/2 x y z + 5/4 x y z - 9/8 x y z , COEFF(2, -1, 0) = - 5/2 x y z + + 3 2 2 2 2 2 2 2 2 2 2 3 3 + + 9/4 x y z + 5/2 x y z - 9/4 x y z + 9/8 x y z - 9/8 z y x + + 3 2 3 2 2 2 3 3 3 + + 5/4 x y z + 9/8 x y z - 5/4 x y z - 5/4 x y z + 5/4 z y x + + 3 2 2 3 2 3 2 + - 9/8 x y z , COEFF(-1, 0, 0) = 27/4 x y z - 25/4 x y z + + 3 2 3 2 2 2 3 2 2 3 3 + - 27/8 x y z + 45/8 x y z - 15/2 x y z - 5 x z - 27/8 z y x + + 3 3 2 2 2 2 3 2 + + 15/4 z y x - 9/4 x z + 5/2 x z - 45/4 x y z - 9/4 x z + + 2 2 3 2 2 2 3 + + 9/2 x z + 5/2 x z + 45/8 x y z - 25/4 x y z + 15/4 x y z + + 2 2 3 2 3 + + 25/2 x y z, COEFF(0, 0, 0) = -5 z + 27/4 y z - 15/2 x z + + 3 2 2 2 2 2 3 2 2 2 2 + + 27/4 x z + 225/8 x y z + 9/2 z - 135/8 x y z - 125/4 x y z + + 2 3 3 3 2 2 2 3 3 2 + + 75/4 x y z - 45/4 z y x - 45/4 x z + 81/8 z y x + 25/2 y z + + 2 2 2 3 2 2 3 2 3 + + 25/2 x z - 45/4 y z + 75/4 x y z - 135/8 x y z - 15/2 y z, + + 2 3 2 2 3 2 2 2 + COEFF(1, 0, 0) = -15 x y z + 25 x y z + 15/2 x z - 45/2 x y z + + 2 3 2 2 3 2 2 2 + + 25/4 x y z + 135/8 x y z - 15/4 x y z - 45/8 x y z + 9/4 x z + + 2 3 2 3 2 2 3 3 2 2 + - 10 x z - 75/4 x y z - 5/2 x z - 27/4 x z - 81/8 z y x + 9 x z + + 3 3 3 2 2 3 2 + + 45/4 z y x + 27/8 x y z + 27/2 x y z , COEFF(2, 0, 0) = + + 2 3 3 2 2 2 2 2 2 2 2 + 27/8 z y x + 5/2 x z + 45/8 x y z - 9/4 x z - 25/4 x y z + + 3 3 2 3 3 2 2 3 3 2 + - 15/4 z y x + 15/4 x y z - 45/8 x y z - 5/2 x z + 25/4 x y z + + 3 2 2 3 2 2 3 + + 9/4 x z - 27/8 x y z , COEFF(-1, 1, 0) = 15/2 x y z + + 2 3 2 3 2 2 3 2 2 2 3 3 + - 27/4 x y z - 9/2 x y z + 5/4 x y z - 9/2 x y z + 27/8 z y x + + 2 3 3 3 3 2 + - 9/8 x y z + 5/4 x y z - 15/4 z y x - 15/4 x y z + 5 x y z + + 2 2 2 3 2 2 2 2 + + 9/4 x y z - 5/2 x y z - 9/8 x y z + 5 x y z - 10 x y z + + 3 2 2 2 2 2 2 + + 27/8 x y z + 9 x y z , COEFF(0, 1, 0) = - 45/8 x y z - 5/2 y z + + 2 2 2 3 3 3 3 2 2 2 + + 9 y z - 75/4 x y z + 45/4 z y x + 27/2 x y z - 10 y z + + 3 2 2 3 3 3 2 + + 15/2 y z + 9/4 y z - 81/8 z y x - 15/4 x y z + 25/4 x y z + + 3 2 2 3 2 3 2 2 2 3 2 + + 27/8 x y z + 135/8 x y z - 27/4 y z + 25 x y z - 15 x y z + + 2 2 2 2 3 2 2 2 + - 45/2 x y z , COEFF(1, 1, 0) = -5 x y z - 27/2 x y z - 5 x y z + + 3 2 2 2 3 3 + + 15/4 x y z - 5/4 x y z + 9/2 x y z + 15 x y z + 15/4 x y z + + 2 3 2 2 3 3 2 2 2 3 2 + - 27/2 x y z + 81/8 z y x + 9/2 x y z + 9/8 x y z + 15 x y z + + 3 2 2 2 2 2 2 3 3 3 2 + - 27/8 x y z - 20 x y z + 18 x y z - 45/4 z y x - 27/8 x y z , + + 2 2 2 3 2 3 3 2 + COEFF(2, 1, 0) = - 9/2 x y z - 5 x y z - 5/4 x y z + 9/8 x y z + + 3 3 2 2 2 2 2 3 3 2 2 + + 15/4 z y x + 5 x y z - 9/8 x y z - 15/4 x y z + 9/2 x y z + + 2 3 2 2 3 3 2 3 + + 27/8 x y z - 27/8 z y x + 5/4 x y z, COEFF(-1, 2, 0) = 5/4 x y z + + 2 2 2 2 2 2 2 2 3 3 2 + - 9/4 x y z + 5/2 x y z + 9/8 x y z - 9/8 z y x - 5/4 x y z + + 2 3 2 3 2 2 3 3 3 2 3 2 + + 9/4 x y z + 9/8 x y z + 5/4 z y x - 9/8 x y z - 5/4 x y z + + 2 3 2 3 3 2 2 + - 5/2 x y z, COEFF(0, 2, 0) = 25/4 x y z + 9/4 y z + 5/2 y z + + 3 2 2 3 3 2 2 3 2 + - 27/8 x y z - 15/4 z y x - 25/4 x y z + 15/4 x y z + + 2 3 3 2 3 2 2 2 2 3 2 2 + + 27/8 z y x - 45/8 x y z + 45/8 x y z - 5/2 y z - 9/4 y z , + + 3 2 2 2 2 3 3 2 + COEFF(1, 2, 0) = - 15/4 x y z - 9/2 x y z + 15/4 z y x + 5/4 x y z + + 2 2 2 2 3 2 2 2 3 3 2 3 + + 5 x y z - 9/8 x y z + 27/8 x y z - 27/8 z y x - 5 x y z + + 2 3 2 3 3 2 2 2 2 + + 9/2 x y z - 5/4 x y z + 9/8 x y z , COEFF(2, 2, 0) = 9/8 x y z + + 2 3 3 2 2 2 3 2 2 3 3 + + 5/4 x y z + 5/4 x y z - 5/4 x y z - 9/8 x y z - 5/4 z y x + + 2 3 2 2 3 3 3 2 2 3 3 + - 9/8 x y z + 9/8 z y x , COEFF(-1, -1, 1) = 9/4 x y z + 1/8 y x + + 3 2 3 2 2 3 2 2 2 2 3 + - 1/4 x y + 1/8 x y - 1/4 x y + 9/4 x y z + 9/4 x y z - 1/4 x y + + 2 2 3 2 2 3 3 3 3 3 + + 1/2 x y - 9/8 x y z - 9/8 z y x + z y x + 1/8 x y + x y z + + 2 3 3 2 2 2 2 3 + - 2 x y z + x y z - 2 x y z - 2 x y z + 4 x y z + x y z + + 3 2 2 2 2 2 3 2 2 2 + - 9/8 x y z + 9/4 x y z - 9/8 x y z - 2 x y z - 9/2 x y z + + 2 2 2 2 + - 1/4 x y + 1/8 x y, COEFF(0, -1, 1) = 9/4 y z - 2 y z - 9/2 y z + + 3 2 3 2 3 2 2 3 3 + + 9/4 y z - 2 y z + 4 y z - 1/4 y - 27/4 x y z - 3/8 y x + + 3 2 3 2 2 2 3 2 3 + + 3/4 x y - 3/8 x y + 1/2 y + 5/8 x y - 45/8 x y z - 1/4 y + + 2 3 2 2 2 3 3 3 3 2 3 + + 5/8 x y - 5/4 x y + 27/8 z y x - 3 z y x + 5 x y z - 3 x y z + + 3 2 2 2 3 2 2 2 2 3 + + 6 x y z - 10 x y z + 27/8 x y z - 45/8 x y z + 5 x y z + + 2 2 2 3 2 2 3 3 3 2 + + 45/4 x y z , COEFF(1, -1, 1) = 27/4 x y z + 3/8 y x - 3/4 x y + + 3 2 2 3 2 2 2 2 3 2 2 + + 3/8 x y - 1/2 x y + 9/2 x y z - 9/4 x y z - 1/2 x y + x y + + 3 2 2 3 3 3 3 3 2 + + 9/8 x y z - 27/8 z y x + 3 z y x - 1/8 x y - x y z - 4 x y z + + 3 3 2 2 2 2 3 3 2 + + 3 x y z - 6 x y z + 2 x y z + 8 x y z - x y z - 27/8 x y z + + 2 2 2 2 3 2 2 2 2 + + 9/2 x y z + 9/8 x y z - 4 x y z - 9 x y z + 1/4 x y - 1/8 x y, + + 3 2 2 2 3 3 2 2 2 + COEFF(2, -1, 1) = - 9/4 x y z + 9/8 z y x + 1/8 x y - 9/8 x y z + + 2 3 2 3 2 2 3 2 2 2 2 2 + - 9/8 x y z - 1/8 x y + x y z + 1/8 x y + 9/4 x y z - 2 x y z + + 3 2 3 2 2 3 3 3 2 2 3 3 + + 2 x y z + 1/4 x y + x y z - 1/8 y x - 1/4 x y - z y x + + 3 2 3 2 3 + + 9/8 x y z - x y z, COEFF(-1, 0, 1) = - 1/4 x + 4 x z - 2 x z + + 3 2 2 2 2 3 2 2 3 3 + + 9/4 x z - 2 x z + 9/4 x z - 9/2 x z - 45/8 x y z - 3/8 y x + + 3 2 3 2 2 3 2 2 2 2 3 + + 5/8 x y - 1/4 x + 1/2 x - 27/4 x y z - 45/8 x y z + 3/4 x y + + 2 2 3 2 2 3 3 3 3 3 + - 5/4 x y + 27/8 x y z + 27/8 z y x - 3 z y x - 3/8 x y + + 3 2 2 2 2 3 2 3 2 2 2 + + 5 x y z + 5 x y z - 10 x y z - 3 x y z + 6 x y z + 45/4 x y z + + 2 2 3 3 2 + + 5/8 x y , COEFF(0, 0, 1) = 1/2 - 10 x z + 6 x z - 27/4 x z + + 2 2 3 2 3 2 2 2 2 + + 45/4 y z - 27/4 y z + 6 y z - 10 y z + 4 z - 9/2 z + 45/4 x z + + 3 2 2 3 3 3 2 3 2 2 + + 135/8 x y z + 9/8 y x - 15/8 x y + 3/4 x - 5/4 x - 5/4 y + + 2 3 2 3 2 3 2 2 2 3 3 + + 135/8 x y z + 3/4 y - 15/8 x y + 25/8 x y - 81/8 z y x + + 3 3 3 2 2 2 2 3 2 2 2 + + 9 z y x - 15 x y z + 25 x y z - 15 x y z - 225/8 x y z , + + 2 3 3 2 2 + COEFF(1, 0, 1) = 1/4 x + 8 x z - 6 x z + 27/4 x z + 2 x z - 9/4 x z + + 2 2 3 2 2 3 3 3 2 3 2 + - 9 x z - 135/8 x y z - 9/8 y x + 15/8 x y - 3/4 x + x + + 2 3 2 2 2 2 3 2 2 3 2 + - 27/2 x y z + 45/8 x y z + 3/2 x y - 5/2 x y - 27/8 x y z + + 2 3 3 3 3 3 3 2 2 + + 81/8 z y x - 9 z y x + 3/8 x y + 15 x y z - 5 x y z + + 2 2 3 2 3 2 2 2 2 + - 20 x y z + 3 x y z + 12 x y z + 45/2 x y z - 5/8 x y , + + 3 3 2 2 2 3 3 3 2 2 + COEFF(2, 0, 1) = 3 z y x + 5 x y z - 3 x y z + 2 x z + 45/8 x y z + + 3 2 2 3 3 3 2 2 2 2 3 2 + - 5/8 x y - 2 x z + 3/8 y x - 9/4 x z + 5/8 x y + 27/8 x y z + + 2 2 2 2 2 2 3 2 3 3 2 3 + + 9/4 x z - 1/4 x - 45/8 x y z + 1/4 x - 27/8 z y x - 3/8 x y + + 3 2 3 2 2 3 3 3 2 + - 5 x y z, COEFF(-1, 1, 1) = 9/2 x y z + 3/8 y x - 1/2 x y + + 3 2 2 3 2 2 2 2 3 2 2 + - 1/8 x y + 1/4 x y + 27/4 x y z + 9/2 x y z - 3/4 x y + x y + + 3 2 2 3 3 3 3 3 2 + - 27/8 x y z - 27/8 z y x + 3 z y x + 3/8 x y - x y z + 2 x y z + + 3 3 2 2 2 2 3 3 2 + - x y z - 4 x y z - 4 x y z + 8 x y z + 3 x y z + 9/8 x y z + + 2 2 2 2 3 2 2 2 2 + - 9/4 x y z + 9/8 x y z - 6 x y z - 9 x y z - 1/2 x y - 1/8 x y, + + 2 2 2 3 2 3 + COEFF(0, 1, 1) = - 9/4 y z + 2 y z - 9 y z + 27/4 y z - 6 y z + + 2 3 2 2 3 3 3 2 3 2 + + 8 y z + 1/4 y - 27/2 x y z - 9/8 y x + 3/2 x y + 3/8 x y + y + + 2 2 3 2 3 2 3 2 2 + - 5/8 x y - 135/8 x y z - 3/4 y + 15/8 x y - 5/2 x y + + 2 3 3 3 3 2 3 3 2 + + 81/8 z y x - 9 z y x - 5 x y z + 3 x y z + 12 x y z + + 2 2 3 2 2 2 2 3 2 2 2 + - 20 x y z - 27/8 x y z + 45/8 x y z + 15 x y z + 45/2 x y z , + + 3 2 2 3 3 3 2 3 + COEFF(1, 1, 1) = 27/2 x y z + 9/8 y x - 3/2 x y - 3/8 x y + + 2 2 3 2 2 2 2 3 2 2 + + 1/2 x y + 27/2 x y z - 9/2 x y z - 3/2 x y + 2 x y + + 3 2 2 3 3 3 3 3 2 + + 27/8 x y z - 81/8 z y x + 9 z y x - 3/8 x y + x y z + 4 x y z + + 3 3 2 2 2 2 3 3 2 + - 3 x y z - 12 x y z + 4 x y z + 16 x y z - 3 x y z + 27/8 x y z + + 2 2 2 2 3 2 2 2 2 + - 9/2 x y z - 9/8 x y z - 12 x y z - 18 x y z + 1/2 x y + 1/8 x y + + 2 3 3 3 2 3 3 2 + , COEFF(2, 1, 1) = 3 x y z - 3/8 y x + 27/8 z y x - x y z + + 2 2 2 3 2 3 2 3 2 2 + - 1/8 x y - 4 x y z + 1/2 x y - 9/8 x y z + x y z - 1/2 x y + + 3 2 3 3 3 2 2 2 2 2 2 3 + + 4 x y z - 3 z y x - 9/2 x y z + 9/2 x y z + 3/8 x y + + 2 2 2 3 2 3 2 3 2 + + 9/8 x y z - 27/8 x y z + 1/8 x y, COEFF(-1, 2, 1) = - 9/4 x y z + + 2 2 2 2 2 2 2 3 3 2 2 + + 9/4 x y z + x y z - 2 x y z + 1/8 x y - 1/8 x y - 9/8 x y z + + 2 2 2 3 3 2 3 2 3 2 3 3 + - 9/8 x y z + 2 x y z + 1/8 x y + 9/8 x y z + x y z - 1/8 y x + + 2 3 2 2 3 3 3 2 3 3 + + 1/4 x y - 1/4 x y - z y x - x y z + 9/8 z y x , COEFF(0, 2, 1) + + 3 2 2 3 2 3 2 2 2 3 3 + = - 3/8 x y - 5/8 x y - 5 x y z + 5 x y z - 27/8 z y x + + 2 2 3 2 2 2 3 3 2 3 2 + + 5/8 x y - 9/4 y z - 2 y z - 1/4 y + 3 z y x + 45/8 x y z + + 2 2 2 3 2 2 3 3 3 3 2 2 + - 45/8 x y z + 1/4 y + 9/4 y z + 3/8 y x + 2 y z + 27/8 x y z + + 3 2 2 3 2 2 2 + - 3 x y z, COEFF(1, 2, 1) = -x y z - 27/8 x y z - 1/8 x y + + 2 3 3 3 3 2 2 2 2 2 2 + + 1/2 x y - 3/8 y x + 3 x y z + 9/2 x y z - 4 x y z + + 2 3 2 2 2 3 2 2 3 3 + - 9/2 x y z - 1/2 x y + 1/8 x y + 9/8 x y z - 3 z y x + + 2 3 3 2 2 3 3 3 2 3 + + 4 x y z - 9/8 x y z + 27/8 z y x + 3/8 x y + x y z, + + 2 3 2 3 3 3 3 2 2 + COEFF(2, 2, 1) = 9/8 x y z + 1/8 y x + z y x + x y z + + 2 3 3 2 3 2 2 2 3 2 2 2 2 + - 9/8 z y x - x y z - 9/8 x y z + 9/8 x y z + 1/8 x y + + 2 3 3 2 3 2 3 2 + - 1/8 x y - x y z - 1/8 x y , COEFF(-1, -1, 2) = 3/8 x y z + + 2 3 3 2 2 3 2 3 2 3 + + 3/8 z y x + 1/2 x y z - 3/4 x y z - 1/4 x y z + 1/2 x y z + + 3 2 2 2 2 3 + - 3/4 x y z + 1/2 x y z - 1/4 x y z + 3/8 x y z - 1/4 x y z + + 2 2 3 2 3 3 3 2 2 2 2 + - 3/4 x y z + 1/2 x y z - 1/4 z y x + 3/8 x y z + 3/2 x y z + + 2 2 2 2 2 2 2 3 + - 3/4 x y z - x y z, COEFF(0, -1, 2) = - 15/4 x y z + 1/2 y z + + 2 2 2 2 3 2 2 + - y z + 15/8 x y z - 3/4 y z + 1/2 y z - 9/8 x y z - 5/4 x y z + + 3 3 2 3 3 2 3 2 2 2 3 2 2 + + 3/4 z y x - 9/8 z y x + 15/8 x y z + 3/2 y z + 9/4 x y z + + 3 2 3 3 2 2 2 2 3 + - 3/2 x y z + 3/4 x y z - 3/4 y z + 5/2 x y z - 5/4 x y z, + + 2 2 2 3 2 2 + COEFF(1, -1, 2) = 1/4 x y z + 3/4 x y z + x y z - 9/4 x y z + + 2 3 3 3 3 2 2 2 3 2 2 3 2 + + 9/8 z y x - 3/4 z y x + 3 x y z + 3/2 x y z - 3/2 x y z + + 2 3 2 2 2 3 2 3 + - 3/8 x y z - 3/8 x y z - 2 x y z + 1/4 x y z + x y z + + 2 2 3 3 2 2 + - 3/2 x y z - 3/4 x y z + 9/8 x y z - 1/2 x y z, COEFF(2, -1, 2) = + + 3 3 2 2 2 2 2 3 3 2 2 + 1/4 x y z - 1/2 x y z - 3/4 x y z - 3/8 z y x + 1/2 x y z + + 2 3 3 2 3 2 2 2 3 2 3 3 + - 1/4 x y z - 3/8 x y z + 3/4 x y z + 3/8 x y z + 1/4 z y x + + 2 2 2 2 2 3 2 + - 1/4 x y z + 3/8 x y z , COEFF(-1, 0, 2) = 15/8 x y z - 9/8 x y z + + 3 3 2 3 2 2 3 2 2 2 3 2 + + 3/4 z y x + 9/4 x y z - 3/2 x y z - 15/4 x y z - 3/4 x z + + 3 2 2 2 3 3 2 3 2 2 2 2 + - 5/4 x y z - x z - 9/8 z y x - 3/4 x z + 15/8 x y z + 3/2 x z + + 2 2 2 3 3 + - 5/4 x y z + 1/2 x z + 5/2 x y z + 1/2 x z + 3/4 x y z, + + 3 2 2 2 2 2 2 + COEFF(0, 0, 2) = 15/4 x y z + 3/2 z - 15/4 y z - 25/4 x y z + + 3 2 2 2 3 3 2 3 2 2 2 2 3 + - 45/8 x y z + 27/8 z y x - 45/8 x y z + 75/8 x y z - 3/2 x z + + 2 3 2 3 3 2 2 2 + + 5/2 x z - 3/2 y z + 15/4 x y z + 9/4 x z - 15/4 x z - z + + 2 3 2 3 3 2 2 + + 5/2 y z + 9/4 y z - 9/4 z y x , COEFF(1, 0, 2) = 5 x y z + + 3 2 3 3 2 2 3 3 + - 15/4 x y z - 3/4 x y z + 9/8 x y z + 5/4 x y z + 9/4 z y x + + 2 3 2 2 3 2 2 2 3 3 2 2 2 + + 9/2 x y z - 3 x y z - 15/8 x y z - 27/8 z y x - 15/2 x y z + + 3 3 2 2 2 2 2 2 + + 3/2 x z + 45/8 x y z - 2 x z + 3/4 x z + 3 x z - 1/2 x z + + 3 2 2 3 3 2 2 3 2 + - 9/4 x z , COEFF(2, 0, 2) = 9/8 z y x - 5/4 x y z + 3/4 x z + + 3 2 2 2 3 2 2 2 2 2 3 3 3 + - 15/8 x y z - 9/8 x y z + 15/8 x y z + 3/4 x y z - 3/4 z y x + + 3 2 2 2 3 2 + - 1/2 x z + 1/2 x z - 3/4 x z + 5/4 x y z, COEFF(-1, 1, 2) = + + 2 2 2 2 2 2 3 2 2 2 2 2 + 3 x y z + 3/4 x y z + x y z - 3/2 x y z - 1/2 x y z - 2 x y z + + 2 3 3 2 2 3 3 2 + + 1/4 x y z + 9/8 z y x - 3/2 x y z - 3/4 z y x - 3/8 x y z + + 3 2 3 2 3 2 2 3 3 + + x y z - 3/8 x y z + 9/8 x y z + 3/2 x y z + 1/4 x y z + + 2 3 2 3 3 2 2 2 + - 9/4 x y z - 3/4 x y z, COEFF(0, 1, 2) = - 3/4 x y z - 15/2 x y z + + 2 2 3 2 2 3 3 2 3 2 2 + - 15/8 x y z + 9/8 x y z - 27/8 z y x - 15/4 x y z + 5 x y z + + 2 3 2 2 2 3 3 3 2 2 2 + + 45/8 x y z + 3 y z + 9/4 z y x - 3 x y z + 3/4 y z - 2 y z + + 2 3 2 2 3 3 2 + + 5/4 x y z + 9/2 x y z + 3/2 y z - 1/2 y z - 9/4 y z , + + 3 3 3 3 2 3 2 2 + COEFF(1, 1, 2) = 3/4 x y z - 9/4 z y x - 9/8 x y z - 9/2 x y z + + 3 2 3 2 2 3 2 2 2 + - 9/8 x y z + 3 x y z + 3 x y z + 3/8 x y z - 4 x y z + + 2 2 2 2 2 2 2 2 3 3 2 2 + + 3/2 x y z + 6 x y z + 3/2 x y z + 27/8 z y x - x y z - x y z + + 3 2 3 2 3 2 + - 1/4 x y z + 3/4 x y z - 9/2 x y z , COEFF(2, 1, 2) = -x y z + + 3 2 2 3 3 2 2 2 2 3 2 + + 3/2 x y z + 3/4 z y x + x y z + 1/4 x y z + 9/8 x y z + + 2 3 3 2 2 3 2 2 2 2 3 + - 9/8 z y x - 3/8 x y z + 3/8 x y z - 3/2 x y z - 1/4 x y z + + 2 3 2 2 2 2 3 2 + - 3/4 x y z, COEFF(-1, 2, 2) = - 3/4 x y z - 1/4 x y z - 1/4 x y z + + 3 2 2 2 2 3 2 3 2 2 2 + + 3/8 x y z + 1/2 x y z + 1/4 x y z + 3/4 x y z + 3/8 x y z + + 3 2 2 3 3 3 3 2 3 + - 3/8 x y z - 3/8 z y x + 1/4 z y x - 1/2 x y z, COEFF(0, 2, 2) + + 2 2 3 3 3 2 2 2 2 2 3 2 + = - 5/4 x y z - 3/4 z y x + 3/4 y z + 15/8 x y z - 15/8 x y z + + 3 2 2 2 2 3 2 3 3 3 + + 3/4 x y z - 3/4 y z + 5/4 x y z + 9/8 z y x - 1/2 y z + + 2 3 2 2 2 2 2 3 3 + + 1/2 y z - 9/8 x y z , COEFF(1, 2, 2) = x y z - 9/8 z y x + + 3 2 2 2 2 2 2 3 3 + - 3/4 x y z + 1/4 x y z - 3/2 x y z - x y z - 1/4 x y z + + 2 2 3 3 3 2 2 3 2 3 2 2 + - 3/8 x y z + 3/4 z y x + 3/8 x y z + 3/2 x y z + 9/8 x y z , + + 2 3 3 3 3 3 2 2 3 2 + COEFF(2, 2, 2) = 3/8 z y x - 1/4 z y x - 3/8 x y z + 1/4 x y z + + 2 2 2 3 2 2 2 2 3 2 + - 1/4 x y z + 1/4 x y z + 3/8 x y z - 3/8 x y z ] + +> print_coeff__lc_of_data(%, "coeff_dz_", "fp", +> "3d.coeffs/3d.cube.order2/coeff-dz.compute.c"); +bytes used=1261958224, alloc=8976788, time=157.57 +bytes used=1262958400, alloc=8976788, time=157.65 +bytes used=1263958548, alloc=8976788, time=157.73 +bytes used=1264958728, alloc=8976788, time=157.82 +bytes used=1265958852, alloc=8976788, time=157.90 +bytes used=1266959184, alloc=8976788, time=157.98 +bytes used=1267959508, alloc=8976788, time=158.10 +bytes used=1268959656, alloc=8976788, time=158.23 +bytes used=1269959956, alloc=8976788, time=158.33 +bytes used=1270960092, alloc=8976788, time=158.42 +bytes used=1271960236, alloc=8976788, time=158.52 +bytes used=1272960376, alloc=8976788, time=158.62 +bytes used=1273960576, alloc=8976788, time=158.72 +bytes used=1275020100, alloc=8976788, time=158.80 +bytes used=1276075204, alloc=8976788, time=158.86 +bytes used=1277123356, alloc=8976788, time=158.94 +bytes used=1278167736, alloc=8976788, time=159.01 +bytes used=1279206876, alloc=8976788, time=159.09 +bytes used=1280234932, 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y z DATA(0, 1, 1) + + 3 2 + - 5/4 y z DATA(0, -1, -1) - 3 x z DATA(-1, 0, -1) + + 2 2 2 + - 6 x z DATA(-1, 0, 1) + 9/2 x z DATA(1, 0, 2) - 9 x z DATA(1, 0, -1) + + 2 2 + - 18 x z DATA(1, 0, 1) + 15/2 x z DATA(-1, 0, 0) + + 2 2 2 + + 3/2 x z DATA(-1, 0, 2) + 45/2 x z DATA(1, 0, 0) + 5/2 z DATA(0, 0, 2) + + + 3/2 x z DATA(-1, 0, -1) - 3/2 x z DATA(-1, 0, 1) + + + 9/2 x z DATA(1, 0, -1) - 9/2 x z DATA(1, 0, 1) + + 3 2 3 2 + - 5/4 y z DATA(0, -1, 2) + 27/4 x y z DATA(1, 0, 2) + + 3 2 3 2 + + 3/4 x y z DATA(-1, 2, 2) - 27/2 x y z DATA(1, 0, -1) + + 3 2 3 2 + - 27 x y z DATA(1, 0, 1) - 45/4 x y z DATA(-1, 1, 0) + + 3 2 3 2 + - 9/4 x y z DATA(1, -1, 2) - 9/4 x y z DATA(-1, 1, 2) + + 3 2 3 2 + + 135/4 x y z DATA(1, 0, 0) + 45/4 x y z DATA(1, 2, 0) + + 3 2 3 2 + + 15/4 x y z DATA(-1, 2, 0) + 45/4 x y z DATA(-1, 0, 0) + + 3 2 3 2 + - 3/2 x y z DATA(-1, 2, -1) - 9 x y z DATA(-1, 0, 1) + + 3 2 3 2 + - 9 x y z DATA(1, 2, 1) - 3 x y z DATA(-1, 2, 1) + + 3 2 3 2 + + 27 x y z DATA(1, 1, 1) + 3/2 x y z DATA(-1, -1, -1) + + 3 2 3 2 + - 9/2 x y z DATA(1, 2, -1) - 135/4 x y z DATA(1, 1, 0) + + 3 2 3 2 + - 45/4 x y z DATA(1, -1, 0) - 9/2 x y z DATA(-1, 0, -1) + + 3 2 3 2 + + 9/4 x y z DATA(1, 2, 2) + 3 x y z DATA(-1, -1, 1) + + 3 2 3 2 + + 9/2 x y z DATA(-1, 1, -1) + 9 x y z DATA(-1, 1, 1) + + 3 2 3 2 + + 9/2 x y z DATA(1, -1, -1) + 9 x y z DATA(1, -1, 1) + + 3 2 3 2 + + 27/2 x y z DATA(1, 1, -1) - 27/4 x y z DATA(1, 1, 2) + + 3 2 3 2 + - 15/4 x y z DATA(-1, -1, 0) - 3/4 x y z DATA(-1, -1, 2) + + 3 2 3 2 + - 25/4 y z DATA(0, -1, 0) + 9/4 x y z DATA(-1, 0, 2) + + 3 2 + - 15/4 y z DATA(0, 1, 2) - 5/2 z DATA(0, 0, 1) + + 3 2 + + 15/4 y z DATA(0, 0, 2) + +> coeff_as_lc_of_data(%, posn_list_3d_size4); +bytes used=1614923364, alloc=8976788, time=215.78 +bytes used=1615955764, alloc=8976788, time=215.86 +bytes used=1616956128, alloc=8976788, time=215.95 +bytes used=1617992508, alloc=8976788, time=216.04 +bytes used=1619052308, alloc=8976788, time=216.13 +bytes used=1620076984, alloc=8976788, time=216.22 +bytes used=1621090048, alloc=8976788, time=216.32 +bytes used=1622090324, alloc=8976788, time=216.41 +bytes used=1623097308, alloc=8976788, time=216.50 +bytes used=1624104248, alloc=8976788, time=216.60 +bytes used=1625104496, alloc=8976788, time=216.68 +bytes used=1626112908, alloc=8976788, time=216.74 + 3 3 2 2 3 3 +[COEFF(-1, -1, -1) = 1/2 z y + 2 y z + 1/2 y z - 3/4 x y z - 3/4 x y z + + 2 3 3 2 2 3 3 3 2 3 + - y z - 3/4 x y z - y z - y z - 3/4 z y x + 3/2 x y z + 1/2 y z + + 2 3 3 2 2 2 2 2 + + 3/2 x y z + 1/2 y z - 3 x y z + 3/2 x y z + 3/2 x y z - y z, + + 3 3 3 + COEFF(0, -1, -1) = - 5/4 y z - 5/4 y z - 5/4 y z + 9/4 x y z + + 2 2 2 2 2 2 3 2 2 + - 9/2 x y z - 5 y z + 5/2 y z + 9 x y z - 9/2 x y z - 9/2 x y z + + 3 3 3 3 2 3 3 2 3 + + 9/4 x y z + 9/4 z y x + 5/2 y z - 5/4 z y - 9/2 x y z + + 2 3 2 2 3 3 + + 9/4 x y z + 5/2 y z + 5/2 y z , COEFF(1, -1, -1) = 9/2 x y z + y z + + 3 2 2 3 3 2 3 3 + + 9/2 x y z + 9/2 x y z + y z + z y - 2 y z + y z - 9/4 x y z + + 2 2 2 2 3 3 3 3 3 2 + + 9/2 x y z + 4 y z - 2 y z - 9/4 z y x - 9/4 x y z - 2 y z + + 2 2 2 2 3 + - 2 y z - 9 x y z - 9/4 x y z, COEFF(2, -1, -1) = 1/2 y z + + 2 3 2 2 3 2 2 2 2 + - 3/2 x y z - 3/2 x y z - 3/2 x y z + 1/2 y z + 3 x y z + 1/2 y z + + 2 3 3 2 2 3 3 + - 3/2 x y z + 3/4 x y z - 1/4 y z - y z + 3/4 x y z - 1/4 y z + + 3 3 3 2 3 3 + + 3/4 x y z - 1/4 y z - 1/4 z y + 1/2 y z + 3/4 z y x, + + 3 3 3 2 3 2 + COEFF(-1, 0, -1) = 9/4 x y z - 3/2 z y - 15/4 x y z + 3 y z + + 2 3 3 3 3 3 3 2 + - 15/4 x y z + 9/4 z y x - z + 3/2 x z - 3/2 y z + 3/2 x z - 3 x z + + 2 2 2 2 3 2 2 3 2 2 + - 5 y z - z + 2 z + 5/2 y z + 15/2 x y z - 9/2 x y z + 5/2 y z, + + 3 2 2 3 + COEFF(0, 0, -1) = - 9/2 x z + 27/2 x y z + 9 x z + 15/4 y z + + 2 3 2 2 3 2 3 3 + - 25/4 y z - 45/2 x y z + 5/2 z - 5 z - 9/2 x z - 27/4 x y z + + 2 3 3 3 2 3 3 2 2 + - 25/4 y z - 27/4 z y x - 15/2 y z + 15/4 z y + 25/2 y z + + 2 2 3 3 3 + + 45/4 x y z + 5/2 z + 45/4 x y z , COEFF(1, 0, -1) = 27/4 z y x + + 3 2 3 3 2 2 3 2 + + 27/4 x y z + 5 y z + 9/2 x z - 2 z + 45/2 x y z + 6 y z + + 3 3 2 3 2 2 2 3 2 2 3 + - 3 z y + 5 y z + 4 z - 2 z - 10 y z - 27/2 x y z - 45/4 x y z + + 2 2 3 2 + - 9 x z - 45/4 x y z - 3 y z + 9/2 x z, COEFF(2, 0, -1) = 15/4 x y z + + 2 3 2 3 2 3 2 3 3 + + 15/4 x y z - 5/4 y z - 3/2 y z - 9/4 x y z - 5/4 y z - 3/2 x z + + 3 3 3 2 2 2 2 2 2 + + 3/4 y z + 1/2 z + 3/4 z y - 15/2 x y z + 3 x z + 5/2 y z - z + + 3 2 3 3 3 + + 9/2 x y z - 9/4 z y x - 3/2 x z + 1/2 z , COEFF(-1, 1, -1) = + + 2 3 3 2 3 3 2 3 3 + 3/4 x y z + 3 x y z + 3/4 x y z - 2 y z - 3 y z - 9/4 z y x + + 3 3 3 2 3 2 2 + + 3/2 z y + 9/2 x y z - 1/2 y z - 1/2 y z + y z + 3 x y z + + 3 2 3 2 2 2 2 2 + + 3/2 y z - 2 y z - 9/4 x y z - 6 x y z + 4 y z - 3/2 x y z , + + 3 3 2 3 + COEFF(0, 1, -1) = 5/4 y z - 15/4 z y + 9/2 x y z + 27/4 x y z + + 3 2 2 2 2 3 2 3 2 + - 9/4 x y z + 5 y z - 10 y z + 5 y z - 5/2 y z + 15/2 y z + + 2 2 3 3 2 2 3 3 + + 18 x y z - 15/4 y z - 27/2 x y z - 9 x y z + 5/4 y z + + 3 3 2 2 + + 27/4 z y x - 9 x y z - 9/4 x y z, COEFF(1, 1, -1) = 2 y z + + 3 2 3 2 3 2 2 3 2 + + 27/2 x y z - y z + 9 x y z + 8 y z - y z + 9/4 x y z + 9 x y z + + 2 3 2 2 3 3 2 + - 4 y z + 9/4 x y z - 4 y z - 9/2 x y z - 27/4 x y z - 6 y z + + 3 3 2 2 3 3 3 3 + - 27/4 z y x - 18 x y z + 3 y z + 3 z y , COEFF(2, 1, -1) = 1/4 y z + + 2 2 3 2 3 3 3 3 3 + + 3/2 x y z + y z - 3 x y z + 9/4 z y x - 3/4 z y - 3/4 x y z + + 3 2 3 2 2 2 2 3 + + 3/2 y z + 1/4 y z - 9/2 x y z + 6 x y z - 1/2 y z + 9/4 x y z + + 2 3 2 2 2 3 + - 3 x y z - 3/4 x y z - 2 y z + y z - 3/4 y z, COEFF(-1, 2, -1) = + + 2 3 2 2 3 3 2 3 3 3 + 1/2 y z - 3/4 x y z - 3/4 x y z - 3/2 x y z - 1/2 y z - 1/2 z y + + 3 2 2 3 2 2 2 2 3 3 + + 3/4 x y z - y z + y z + 3/2 x y z + 1/2 y z + 3/4 z y x, + + 2 3 2 2 3 2 + COEFF(0, 2, -1) = 9/4 x y z + 5/4 y z - 9/2 x y z + 9/2 x y z + + 3 3 2 3 2 2 3 2 2 3 3 + - 9/4 z y x + 9/4 x y z - 5/4 y z - 5/4 y z + 5/2 y z + 5/4 z y + + 3 2 3 3 2 2 2 + - 5/2 y z - 9/4 x y z, COEFF(1, 2, -1) = - 9/2 x y z - 2 y z + + 3 3 2 3 3 2 3 3 2 2 2 + - z y + y z - y z + y z + 9/4 z y x - 9/4 x y z + 9/2 x y z + + 2 3 3 3 2 2 2 + - 9/4 x y z + 9/4 x y z + 2 y z , COEFF(2, 2, -1) = - 3/2 x y z + + 2 3 3 2 3 2 2 3 + + 3/4 x y z - 1/2 y z + 3/2 x y z + 3/4 x y z - 3/4 x y z + + 2 2 2 3 3 3 2 3 3 3 + + 1/2 y z - 1/4 y z - 3/4 z y x + 1/4 y z - 1/4 y z + 1/4 z y , + + 3 3 2 2 2 3 2 + COEFF(-1, -1, 0) = 9/4 z y x + 15/2 x y z - 9/2 x y z - 3 x y + + 2 2 2 3 3 3 2 2 3 3 + - 5 y z + 3 y z - 3/2 y z - 15/4 x y z + 5/2 y z - y + 9/4 x y z + + 3 2 2 3 3 3 2 + - y + 5/2 y z + 2 y + 3/2 x y - 3/2 z y - 15/4 x y z + 3/2 x y, + + 3 3 3 2 3 + COEFF(0, -1, 0) = - 9/2 x y - 9/2 x y - 27/4 z y x + 27/2 x y z + + 2 3 3 3 3 2 2 + - 15/2 y z + 15/4 y z - 27/4 x y z + 45/4 x y z - 25/4 y z + + 2 2 2 2 3 2 2 2 + + 25/2 y z - 45/2 x y z - 25/4 y z - 5 y + 45/4 x y z + 5/2 y + + 3 3 3 2 3 + + 5/2 y + 15/4 z y + 9 x y , COEFF(1, -1, 0) = -3 y z + 9/2 x y + + 2 2 2 2 3 3 3 2 3 3 3 + - 9 x y - 10 y z + 4 y - 3 z y - 2 y - 27/2 x y z + 27/4 z y x + + 3 3 2 2 3 3 2 2 2 + + 27/4 x y z + 5 y z + 6 y z + 9/2 x y + 45/2 x y z + 5 y z + + 3 2 2 2 3 + - 45/4 x y z - 2 y - 45/4 x y z , COEFF(2, -1, 0) = - 3/2 y z + + 3 3 2 2 2 2 3 + + 3/4 y z + 1/2 y + 15/4 x y z + 5/2 y z - 3/2 x y + 9/2 x y z + + 3 3 3 2 2 2 2 2 + + 1/2 y + 3/4 z y + 15/4 x y z - 15/2 x y z - y - 5/4 y z + + 3 2 3 3 3 3 2 + - 9/4 x y z + 3 x y - 3/2 x y - 9/4 z y x - 5/4 y z , + + 3 3 3 3 3 3 2 + COEFF(-1, 0, 0) = 2 - 27/4 z y x + 3 z + 9/2 z y + 45/4 x y z + + 2 2 2 2 3 3 2 2 2 + - 75/4 x y z + 15/2 x z + 45/4 x y z - 9/2 x y + 25/2 y z - 5 z + + 3 2 2 2 3 2 3 3 + - 15/2 y z - 5 y - 3 x + 15/2 x y + 3 y - 15/2 y z - 9/2 x z , + + 3 2 3 3 2 2 + COEFF(0, 0, 0) = 75/4 y z + 27/2 x z - 135/4 x y z + 25/2 z + + 2 2 2 2 2 3 2 3 2 + + 225/4 x y z - 125/4 y z - 135/4 x y z - 5 + 75/4 y z - 45/2 x z + + 2 3 3 3 3 3 2 + - 45/2 x y - 15/2 y - 45/4 z y - 15/2 z + 27/2 x y + 9 x + 25/2 y + + 3 3 2 3 3 3 + + 81/4 z y x, COEFF(1, 0, 0) = 135/4 x y z - 9 x + 9 z y + 4 + + 3 2 2 2 2 3 3 2 2 + - 27/2 x y - 225/4 x y z - 10 y - 15 y z - 27/2 x z + 25 y z + + 2 3 3 3 3 2 3 2 + - 10 z + 6 z + 6 y - 81/4 z y x + 45/2 x z + 135/4 x y z + + 3 2 2 3 2 3 + - 15 y z + 45/2 x y , COEFF(2, 0, 0) = - 45/4 x y z + 9/2 x z + + 2 3 2 2 3 3 3 3 + + 5/2 y - 3/2 y - 15/2 x z - 1 - 45/4 x y z - 9/4 z y + 9/2 x y + + 3 3 2 2 3 3 3 2 + - 3/2 z + 3 x + 15/4 y z + 15/4 y z + 27/4 z y x + 5/2 z + + 2 2 2 2 2 3 + - 25/4 y z + 75/4 x y z - 15/2 x y , COEFF(-1, 1, 0) = - 9/4 x y z + + 3 3 3 2 2 3 2 2 3 2 + - 9/2 z y + y + 15/2 y z + 6 y z + 15 x y z - 45/4 x y z + + 3 2 2 2 3 2 + - 3/2 x y - 3 y - 5/2 y z + 15/4 x y z - 9 x y z + 4 y + + 3 3 2 3 3 2 2 + + 27/4 z y x - 6 x y + 3/2 y z + 9/2 x y - 10 y z , COEFF(0, 1, 0) + + 2 2 3 2 2 3 3 2 + = 25 y z - 27/2 x y + 25/4 y z - 15 y z + 135/4 x y z + + 3 2 3 3 2 3 3 2 + + 27/4 x y z - 10 y - 81/4 z y x + 27 x y z - 75/4 y z - 5/2 y + + 2 2 3 3 2 3 3 + - 45 x y z + 45/4 z y + 9/2 x y - 45/4 x y z + 15/2 y - 15/4 y z + + 2 2 2 2 3 + + 18 x y , COEFF(1, 1, 0) = -18 x y + 45 x y z - 9/2 x y - 27/4 x y z + + 2 3 3 2 2 2 3 2 3 3 + + 45/4 x y z + 27/2 x y + 15 y z - 20 y z + 3 y z + 8 y - 9 z y + + 3 3 2 2 3 3 3 2 2 3 + - 6 y - 135/4 x y z + 12 y z + 81/4 z y x - 5 y z - 27 x y z + + 3 3 2 + + 2 y, COEFF(2, 1, 0) = 9/4 z y - 1/2 y + 3/2 x y + 6 x y + + 3 3 2 2 2 3 2 2 2 3 + - 27/4 z y x - 2 y - 15 x y z + 45/4 x y z + 5/4 y z + 9 x y z + + 2 2 3 3 2 3 3 3 + - 15/4 x y z - 3 y z - 15/4 y z - 3/4 y z + 3/2 y - 9/2 x y + + 2 2 3 3 2 3 2 2 + + 5 y z + 9/4 x y z , COEFF(-1, 2, 0) = - 5/2 y z + 15/4 x y z - y + + 2 3 3 3 2 2 3 2 + - 3/2 y z - 9/4 z y x - 15/4 x y z - 3/2 x y + 3/2 x y + + 2 3 3 2 2 3 3 + + 9/4 x y z + y + 5/2 y z + 3/2 z y , COEFF(0, 2, 0) = + + 2 3 2 2 2 3 2 2 2 + - 27/4 x y z + 5/2 y + 45/4 x y z - 5/2 y - 9/2 x y - 25/4 y z + + 3 3 3 2 3 3 3 2 3 + - 15/4 z y + 25/4 y z + 27/4 z y x + 9/2 x y + 15/4 y z + + 3 2 3 3 3 2 3 + - 45/4 x y z , COEFF(1, 2, 0) = 2 y + 3 z y - 2 y - 9/2 x y + + 3 3 3 2 2 2 2 3 2 2 3 + - 27/4 z y x - 5 y z + 9/2 x y + 5 y z + 45/4 x y z - 3 y z + + 2 3 2 2 2 3 3 + + 27/4 x y z - 45/4 x y z , COEFF(2, 2, 0) = - 3/2 x y - 3/4 z y + + 2 3 2 3 3 3 2 2 2 2 + - 9/4 x y z + 3/4 y z - 1/2 y - 15/4 x y z + 15/4 x y z + 1/2 y + + 2 2 3 3 3 3 2 + - 5/4 y z + 9/4 z y x + 3/2 x y + 5/4 y z , COEFF(-1, -1, 1) = + + 2 3 3 3 2 2 2 2 + 9/2 x y z - 9/4 z y x - 2 y z - 3/2 x y z - 1/2 y z - 6 x y z + + 3 2 3 2 3 3 3 2 2 + + 3 x y z + 3/2 y z + y z + 3/2 z y - 2 y z + 3 x y z + + 3 2 3 3 2 2 3 + - 9/4 x y z - 3 y z + 3/4 x y z + 4 y z - 1/2 y z + 3/4 x y z, + + 3 2 2 3 2 + COEFF(0, -1, 1) = - 9/4 x y z - 9 x y z + 15/2 y z - 5/2 y z + + 2 2 3 3 3 2 2 3 + - 10 y z + 27/4 z y x + 5 y z + 5/4 y z + 9/2 x y z - 15/4 y z + + 3 2 2 3 2 2 2 3 + + 27/4 x y z + 18 x y z + 5/4 y z + 5 y z - 9 x y z - 27/2 x y z + + 3 3 3 3 3 2 + - 9/4 x y z - 15/4 z y , COEFF(1, -1, 1) = 9/4 x y z - 4 y z + + 3 2 3 3 2 2 2 2 + + 9 x y z + 3 y z - y z - y z - 18 x y z - 9/2 x y z - 4 y z + + 2 3 3 3 3 2 3 3 2 2 + - 6 y z - 27/4 x y z + 3 z y + 9 x y z - 27/4 z y x + 8 y z + + 2 3 2 2 + + 27/2 x y z + 2 y z + 9/4 x y z, COEFF(2, -1, 1) = 3/2 x y z + + 3 2 2 3 2 3 2 + - 3/4 x y z + y z - 1/2 y z - 3/4 x y z + 3/2 y z - 3 x y z + + 3 3 3 2 2 2 3 + + 1/4 y z + 9/4 z y x + 9/4 x y z + y z + 6 x y z + 1/4 y z + + 3 2 3 3 3 2 2 2 3 + - 3 x y z - 3/4 z y - 3/4 y z - 2 y z - 9/2 x y z , + + 3 2 3 3 3 2 3 3 + COEFF(-1, 0, 1) = -9 x y z - 9/2 z y + 6 y z + 27/4 z y x + + 3 2 2 2 2 3 2 3 2 + - 9/4 x y z - 10 y z - 6 x z - 45/4 x y z + 15/2 y z + 4 z + + 2 2 2 2 3 3 + + 15 x y z - 5/2 y z + 15/4 x y z + z - 3 z + 3/2 y z - 3/2 x z + + 3 2 2 3 2 3 + + 9/2 x z , COEFF(0, 0, 1) = 25 y z + 27 x y z + 9/2 x z - 27/2 x z + + 2 3 3 3 2 2 3 + + 25/4 y z - 15/4 y z + 27/4 x y z - 15 y z - 5/2 z - 75/4 y z + + 3 3 3 2 3 2 3 3 + + 15/2 z - 81/4 z y x + 135/4 x y z - 45/4 x y z + 45/4 z y + + 2 2 2 2 3 2 + - 10 z + 18 x z - 45 x y z , COEFF(1, 0, 1) = 27/2 x z + 2 z + 8 z + + 2 3 3 2 2 2 3 2 3 + - 9/2 x z - 5 y z - 9 z y - 18 x z + 45 x y z - 6 z - 135/4 x y z + + 3 3 2 2 3 3 2 2 2 3 + + 81/4 z y x + 45/4 x y z + 15 y z + 12 y z - 20 y z + 3 y z + + 3 2 3 2 3 + - 27 x y z - 27/4 x y z, COEFF(2, 0, 1) = 6 x z - 3/4 y z + + 2 2 2 3 2 2 3 3 3 2 + - 15 x y z - 15/4 x y z - 3 y z - 15/4 y z + 9/4 x y z + 9 x y z + + 3 2 3 3 2 2 2 3 + + 3/2 z + 5/4 y z - 27/4 z y x + 5 y z + 45/4 x y z + 3/2 x z + + 3 2 3 3 3 + - 9/2 x z - 2 z - 1/2 z + 9/4 z y , COEFF(-1, 1, 1) = - 3/2 y z + + 2 2 3 2 2 2 2 2 + - 12 x y z - 3/4 x y z - 6 y z + 2 y z - 3 x y z + 1/2 y z + 8 y z + + 2 3 3 3 3 2 3 3 3 3 + - 6 y z - 27/4 z y x - 3/2 y z + 9 x y z + 9/2 z y + 9/4 x y z + + 2 3 2 3 2 2 + - 3 x y z + 9 x y z + 9/4 x y z + 2 y z , COEFF(0, 1, 1) = 9 x y z + + 2 3 2 2 2 3 3 3 2 + - 27 x y z - 20 y z - 5 y z + 81/4 z y x - 27/4 x y z + 9 x y z + + 2 3 3 2 2 3 + + 15 y z + 15/4 y z - 5/4 y z + 36 x y z + 9/4 x y z + 15/4 y z + + 2 3 2 3 2 3 3 3 + - 5 y z - 27 x y z + 15 y z - 45/4 z y - 27/4 x y z, + + 2 3 2 3 2 3 3 + COEFF(1, 1, 1) = -9 x y z + y z + 27 x y z - 3 y z + 4 y z + 9 z y + + 2 3 3 3 2 2 2 + + 27 x y z - 81/4 z y x + 4 y z - 36 x y z - 9/4 x y z + + 3 2 2 3 3 3 2 3 + + 27/4 x y z - 9 x y z - 12 y z + 27/4 x y z - 12 y z - 3 y z + + 2 2 2 3 2 3 2 2 2 + + 16 y z , COEFF(2, 1, 1) = -9 x y z + 3 y z + 3 x y z + 12 x y z + + 3 2 3 2 3 2 2 + + 3/4 y z - y z - 1/4 y z - 9 x y z - 9/4 x y z - 4 y z + 3/4 x y z + + 3 2 2 3 2 3 3 3 3 + + 3 y z - y z + 3/4 y z + 3 x y z + 27/4 z y x - 9/4 z y + + 3 3 3 2 3 2 2 + - 9/4 x y z, COEFF(-1, 2, 1) = - 3/2 z y - 9/4 x y z + 3 x y z + + 3 3 3 2 3 2 3 3 2 2 + + 9/4 z y x - 3 x y z + 1/2 y z + 3/2 y z + 2 y z - 1/2 y z + + 2 2 2 3 2 3 + + 3/4 x y z - 2 y z - 3/4 x y z, COEFF(0, 2, 1) = - 15/4 y z + + 2 3 2 2 2 3 3 3 2 2 + + 5/4 y z - 5 y z + 5 y z + 9/4 x y z + 15/4 z y - 9 x y z + + 3 3 3 2 3 2 2 3 + - 5/4 y z - 27/4 z y x - 9/4 x y z + 9 x y z + 27/4 x y z , + + 3 3 3 2 2 2 3 2 + COEFF(1, 2, 1) = 27/4 z y x + 4 y z + 9 x y z - 9 x y z + + 2 3 2 2 2 3 3 3 3 3 + - 27/4 x y z - y z + 9/4 x y z + 3 y z - 3 z y + y z - 9/4 x y z + + 2 2 3 2 3 3 3 2 + - 4 y z , COEFF(2, 2, 1) = -y z - 9/4 z y x - 1/4 y z - 3/4 x y z + + 2 3 3 2 2 2 2 3 2 2 3 + + 9/4 x y z + 3/4 x y z + y z - 3 x y z + 3 x y z - 3/4 y z + + 3 3 2 3 3 3 + + 3/4 z y + 1/4 y z, COEFF(-1, -1, 2) = 3/4 x y z - 1/2 z y + + 3 2 2 3 3 3 2 2 2 2 3 + + 1/2 y z + y z + 3/4 z y x + 3/2 x y z + 1/2 y z - 3/2 x y z + + 2 2 2 3 2 3 + - 3/4 x y z - y z - 3/4 x y z - 1/2 y z , COEFF(0, -1, 2) = + + 3 2 2 2 2 3 3 2 3 + - 5/4 y z - 5/4 y z + 5/2 y z - 9/4 x y z + 5/4 y z - 5/2 y z + + 3 3 2 2 2 2 3 3 3 + - 9/4 z y x + 9/4 x y z - 9/2 x y z + 9/2 x y z + 5/4 z y + + 3 2 3 2 3 2 + + 9/4 x y z , COEFF(1, -1, 2) = -y z - 9/2 x y z - 9/4 x y z + + 2 2 2 3 2 3 3 3 3 3 2 3 + + 9/2 x y z + y z + y z + 9/4 z y x - z y + 9/4 x y z + 2 y z + + 3 2 2 2 2 2 3 + - 9/4 x y z - 2 y z , COEFF(2, -1, 2) = 3/4 x y z - 1/2 y z + + 3 2 3 3 3 2 3 3 2 + - 1/4 y z - 3/4 z y x - 3/4 x y z + 3/2 x y z + 3/4 x y z + + 3 3 3 2 2 2 2 2 + + 1/4 y z + 1/4 z y - 1/4 y z - 3/2 x y z + 1/2 y z , + + 3 2 2 3 3 2 3 + COEFF(-1, 0, 2) = - 3/2 y z + 3/2 x z - 9/4 z y x - 5/2 y z + + 3 3 2 2 3 2 2 2 3 3 2 + + 3/2 z y + 5/2 y z - 3/2 x z - 15/4 x y z + 15/4 x y z + z - z + + 3 2 2 3 3 3 3 3 + + 9/4 x y z , COEFF(0, 0, 2) = - 45/4 x y z - 15/4 z y + 27/4 z y x + + 2 2 3 2 3 2 2 3 2 2 + + 45/4 x y z + 15/4 y z - 27/4 x y z + 25/4 y z - 25/4 y z + + 2 2 3 3 3 2 + + 5/2 z - 9/2 x z + 9/2 x z - 5/2 z , COEFF(1, 0, 2) = 27/4 x y z + + 3 3 2 3 3 3 2 3 2 3 + + 3 z y + 9/2 x z + 2 z - 27/4 z y x + 45/4 x y z - 5 y z + + 2 2 3 3 2 2 2 2 + - 45/4 x y z - 9/2 x z - 3 y z - 2 z + 5 y z , COEFF(2, 0, 2) = + + 2 3 3 2 2 3 2 2 2 2 + - 15/4 x y z - 9/4 x y z + 1/2 z + 3/4 y z - 3/2 x z + 15/4 x y z + + 2 2 3 2 3 3 3 3 3 3 + - 5/4 y z + 3/2 x z + 5/4 y z - 1/2 z - 3/4 z y + 9/4 z y x, + + 2 3 3 2 3 3 2 + COEFF(-1, 1, 2) = -3 x y z - 9/4 x y z + 1/2 y z + 3/2 y z + + 2 2 3 2 2 3 2 3 3 + + 3 x y z - 3/4 x y z - 1/2 y z + 2 y z + 3/4 x y z - 3/2 z y + + 3 3 2 2 3 3 2 + + 9/4 z y x - 2 y z , COEFF(0, 1, 2) = 15/4 z y + 5/4 y z + + 3 2 2 3 2 3 3 2 2 + + 9/4 x y z - 9 x y z + 27/4 x y z - 27/4 z y x + 5 y z + + 2 3 3 2 2 3 3 2 + + 9 x y z - 15/4 y z - 5 y z - 5/4 y z - 9/4 x y z , COEFF(1, 1, 2) + + 3 3 3 2 2 3 2 2 3 3 + = 27/4 z y x + y z + 9/4 x y z - 9 x y z + 9 x y z - 3 z y + + 3 2 3 2 3 2 2 3 2 2 + - 9/4 x y z - y z + 3 y z - 27/4 x y z + 4 y z - 4 y z , + + 3 3 2 3 3 3 3 + COEFF(2, 1, 2) = 3/4 z y + 3 x y z - 9/4 z y x + 3/4 x y z + + 2 3 3 2 2 3 2 2 2 + - 3/4 x y z - 1/4 y z + 9/4 x y z + 1/4 y z - 3/4 y z + y z + + 2 3 2 2 2 2 2 2 + - y z - 3 x y z , COEFF(-1, 2, 2) = - 3/4 x y z + 1/2 y z + + 2 3 3 3 3 2 2 3 3 3 + + 3/4 x y z - 3/4 z y x + 3/4 x y z - 1/2 y z + 1/2 z y + + 3 2 3 2 2 3 2 2 + - 1/2 y z , COEFF(0, 2, 2) = 5/4 y z + 5/4 y z + 9/4 x y z + + 2 2 3 3 3 2 2 3 3 3 + - 5/4 y z + 9/4 z y x - 9/4 x y z - 9/4 x y z - 5/4 z y , + + 3 3 3 2 2 2 2 3 3 3 + COEFF(1, 2, 2) = - 9/4 z y x - y z - 9/4 x y z + 9/4 x y z + z y + + 2 3 3 2 2 2 2 2 2 3 + - y z + 9/4 x y z + y z , COEFF(2, 2, 2) = 3/4 x y z + 1/4 y z + + 2 3 3 3 2 2 3 3 3 2 + - 3/4 x y z - 1/4 z y - 1/4 y z + 3/4 z y x - 3/4 x y z + + 3 2 + + 1/4 y z ] + +> print_coeff__lc_of_data(%, "coeff_dxx_", "fp", +> "3d.coeffs/3d.cube.order2/coeff-dxx.compute.c"); +bytes used=1627113072, alloc=8976788, time=216.81 +bytes used=1628113580, alloc=8976788, time=216.88 +bytes used=1629113972, alloc=8976788, time=216.97 +bytes used=1630114140, alloc=8976788, time=217.05 +bytes used=1631114816, alloc=8976788, time=217.14 +bytes used=1632115036, alloc=8976788, time=217.24 +bytes used=1633115352, alloc=8976788, time=217.48 +bytes used=1634115560, alloc=8976788, time=217.58 +bytes used=1635115756, alloc=8976788, time=217.67 +bytes used=1636116048, alloc=8976788, time=217.77 +bytes used=1637116264, alloc=8976788, time=217.86 +bytes used=1638121220, alloc=8976788, time=217.94 +bytes used=1639187060, alloc=8976788, time=218.01 +bytes used=1640244084, alloc=8976788, time=218.08 +bytes 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time=248.52 +bytes used=1818403668, alloc=8976788, time=248.65 +bytes used=1819403928, alloc=8976788, time=251.28 +bytes used=1820404060, alloc=8976788, time=252.01 +bytes used=1821404368, alloc=8976788, time=252.12 +bytes used=1822404708, alloc=8976788, time=252.19 +bytes used=1823405040, alloc=8976788, time=252.27 +bytes used=1824405588, alloc=8976788, time=252.35 +bytes used=1825405876, alloc=8976788, time=252.43 +bytes used=1826406068, alloc=8976788, time=252.50 +bytes used=1827406344, alloc=8976788, time=252.59 +bytes used=1828406952, alloc=8976788, time=252.86 +bytes used=1829407200, alloc=8976788, time=253.08 +bytes used=1830407604, alloc=8976788, time=253.30 +bytes used=1831407828, alloc=8976788, time=253.44 +bytes used=1832407980, alloc=8976788, time=254.04 +bytes used=1833408168, alloc=8976788, time=256.46 +bytes used=1834409180, alloc=8976788, time=257.02 +bytes used=1835420160, alloc=8976788, time=257.25 +bytes used=1836420392, alloc=8976788, time=257.32 +bytes used=1837420648, alloc=8976788, time=257.44 +bytes used=1838420872, alloc=8976788, time=257.59 +bytes used=1839421032, alloc=8976788, time=257.69 +> +# d^2/dxdy +> simplify( diff(interp_3d_cube_order2,x,y) ); +bytes used=1840703136, alloc=8976788, time=257.80 +bytes used=1841703780, alloc=8976788, time=257.88 +bytes used=1842704252, alloc=8976788, time=257.97 +bytes used=1843704424, alloc=8976788, time=258.05 +bytes used=1844704544, alloc=8976788, time=258.14 +bytes used=1845704676, alloc=8976788, time=258.23 +bytes used=1846704892, alloc=8976788, time=258.31 +bytes used=1847705088, alloc=8976788, time=258.40 +bytes used=1848705208, alloc=8976788, time=258.49 +bytes used=1849705360, alloc=8976788, time=258.58 +bytes used=1850705572, alloc=8976788, time=258.67 +bytes used=1851705804, alloc=8976788, time=258.76 + 2 3 2 3 +1/4 DATA(1, 1, 0) - 45/4 x y z DATA(0, -1, 1) + 15/4 x y z DATA(0, 2, -1) + + 2 2 + + 5 x y z DATA(2, -1, 0) + 10 x y z DATA(2, 1, 0) + + 2 3 2 3 + - 45/4 x y z DATA(0, 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+ 5 x y z DATA(-1, 0, -1) + + 3 3 + + 15 x y z DATA(-1, 0, 1) + 10 x y z DATA(1, 0, -1) + + 3 3 + + 2 x y z DATA(1, 2, -1) + 25/2 x y z DATA(0, 0, 2) + + 3 3 + - 5 x y z DATA(-1, 0, 2) - 10 x y z DATA(1, 0, 2) + + 3 3 + - 1/2 x y z DATA(2, 2, -1) - 3/2 x y z DATA(2, 2, 1) + + 3 3 + + 6 x y z DATA(1, 2, 1) + 3 x y z DATA(-1, 2, 1) - 1/4 DATA(1, -1, 0) + + - 1/4 DATA(-1, 1, 0) + 1/4 DATA(-1, -1, 0) + +> coeff_as_lc_of_data(%, posn_list_3d_size4); +bytes used=1852768780, alloc=8976788, time=258.85 +bytes used=1853859452, alloc=8976788, time=258.95 +bytes used=1854937568, alloc=8976788, time=259.04 +bytes used=1855953184, alloc=8976788, time=259.13 +bytes used=1856958332, alloc=8976788, time=259.22 +bytes used=1857958524, alloc=8976788, time=259.31 +bytes used=1858969392, alloc=8976788, time=259.41 +bytes used=1859987856, alloc=8976788, time=259.51 +bytes used=1861027636, alloc=8976788, time=259.61 +bytes used=1862027824, alloc=8976788, time=259.71 +bytes used=1863045668, alloc=8976788, time=259.82 +bytes used=1864052116, alloc=8976788, time=259.92 +bytes used=1865077872, alloc=8976788, time=260.00 +bytes used=1866090340, alloc=8976788, time=260.06 +bytes used=1867102808, alloc=8976788, time=260.12 + 2 2 2 2 +[COEFF(-1, -1, -1) = - 3/8 x z - y z + 1/2 x z + 1/2 y z + 3/4 y z + + 2 3 3 2 2 2 2 2 + - 3/8 y z + 1/2 y z - 3/8 y z - 1/8 z - x z + 1/4 z + 3/4 x z + + 3 3 2 3 2 2 3 2 3 2 2 + - 1/8 z + 3/2 z y x - 9/8 z y x - 3/8 z x + 1/2 x z - 3 x y z + + 2 2 3 3 2 2 2 + - 2 x y z + 3/2 x y z + 3/2 x y z - 2 x y z + 3/2 x y z - 9/8 x y z + + 2 2 2 2 2 2 2 + - 3 x y z + 4 x y z + 9/4 x y z , COEFF(0, -1, -1) = - 9/2 x y z + + 2 2 2 2 2 2 2 2 3 + - 9/4 x z + 5 x y z - 27/4 x y z + 9 x y z - 15/4 x y z + + 2 2 2 3 3 2 2 + + 9/8 x z - 5/4 x z + 5/2 x z - 15/4 x y z + 5 x y z + 27/8 z y x + + 2 2 3 2 3 2 3 2 + + 27/8 x y z - 5/4 x z - 10 x y z + 9/8 z x - 9/2 z y x + + 2 2 2 2 + + 15/2 x y z , COEFF(1, -1, -1) = - 9/8 x z + y z + x z - 1/2 y z + + 2 2 2 3 3 2 2 2 + - 3/4 y z + 3/8 y z - 1/2 y z + 3/8 y z + 1/8 z - 2 x z - 1/4 z + + 2 2 3 3 2 3 2 2 3 2 3 + + 9/4 x z + 1/8 z + 9/2 z y x - 27/8 z y x - 9/8 z x + x z + + 2 2 2 2 3 3 2 + - 6 x y z - 4 x y z + 9/2 x y z + 3 x y z - 4 x y z + 3 x y z + + 2 2 2 2 2 2 2 2 + - 27/8 x y z - 9 x y z + 8 x y z + 27/4 x y z , COEFF(2, -1, -1) = + + 2 2 2 2 3 2 3 2 + 3 x y z - 3/4 x z - 1/4 x z - 3/2 z y x - 1/4 x z - 2 x y z + + 2 2 2 2 2 2 2 3 2 2 + + 3/2 x y z - 9/4 x y z + 3/8 x z + 1/2 x z + 9/8 z y x + + 2 3 2 2 2 2 3 + - 3/4 x y z + 3/8 z x + 9/8 x y z - 3/2 x y z + x y z + x y z + + 2 3 2 3 2 2 + - 3/4 x y z , COEFF(-1, 0, -1) = - 9/2 x y z + 15/2 x y z + + 2 2 2 2 3 2 2 + - 15/4 x y z - 9/4 y z - 10 x y z - 15/4 z y x - 9/2 x y z + + 2 2 3 2 2 2 2 2 + + 5/2 y z + 9/8 y z + 9 x y z - 5/4 y z + 5 x y z - 27/4 x y z + + 3 3 2 2 2 3 2 2 + - 5/4 y z + 5 x y z + 9/8 y z + 27/8 x y z + 27/8 z y x , + + 2 2 2 3 3 2 + COEFF(0, 0, -1) = - 45/2 x y z + 45/4 x y z + 45/4 z y x + + 2 2 2 2 2 2 2 3 + - 81/8 x y z + 81/4 x y z + 45/4 x y z + 25 x y z - 25/2 x y z + + 2 2 3 2 2 2 + - 45/2 x y z - 25/2 x y z - 81/8 z y x + 45/4 x y z, COEFF(1, 0, -1) + + 3 2 2 3 2 2 2 2 + = 81/8 z y x + 5/4 y z + 45/2 x y z - 45/4 x y z - 9 x y z + + 2 2 2 2 3 2 2 3 3 2 + - 81/4 x y z - 9 x y z - 5/2 y z - 9/8 y z - 45/4 z y x + + 2 2 2 2 3 2 2 2 + + 81/8 x y z + 9/4 y z + 10 x y z + 10 x y z + 18 x y z - 20 x y z + + 2 2 2 2 2 + + 5/4 y z - 9/8 y z, COEFF(2, 0, -1) = 15/4 x y z + 27/4 x y z + + 3 2 2 2 3 2 2 2 2 + - 5/2 x y z - 9/2 x y z + 5 x y z - 27/8 z y x - 15/2 x y z + + 2 2 2 2 3 3 2 + - 5/2 x y z - 27/8 x y z + 9/4 x y z + 9/4 x y z + 15/4 z y x , + + 2 2 2 2 + COEFF(-1, 1, -1) = 3/8 x z - 2 y z - 1/2 x z + y z + 9/4 y z + + 2 3 3 2 2 2 2 2 3 + - 9/8 y z + y z - 9/8 y z + 1/8 z + x z - 1/4 z - 3/4 x z + 1/8 z + + 3 2 3 2 2 3 2 3 2 2 + + 3 z y x - 27/8 z y x + 3/8 z x - 1/2 x z - 9 x y z - 4 x y z + + 2 2 3 3 2 2 2 + + 3 x y z + 9/2 x y z - 4 x y z + 9/2 x y z - 27/8 x y z + + 2 2 2 2 2 2 2 2 2 + - 6 x y z + 8 x y z + 27/4 x y z , COEFF(0, 1, -1) = - 81/4 x y z + + 2 2 2 2 2 2 2 2 + - 20 x y z + 45/2 x y z + 10 x y z - 9/8 x z + 18 x y z + 9/4 x z + + 2 2 3 2 2 2 3 2 2 + - 45/4 x y z - 5/2 x z - 9/8 z x + 81/8 x y z + 81/8 z y x + + 3 2 3 2 3 2 3 + - 9 z y x + 10 x y z - 45/4 x y z + 5/4 x z - 9 x y z + 5/4 x z , + + 2 2 2 2 2 3 + COEFF(1, 1, -1) = 9/8 x z + 2 y z - x z - y z - 9/4 y z + 9/8 y z + + 3 2 2 2 2 2 3 + - y z + 9/8 y z - 1/8 z + 2 x z + 1/4 z - 9/4 x z - 1/8 z + + 3 2 3 2 2 3 2 3 2 2 + + 9 z y x - 81/8 z y x + 9/8 z x - x z - 18 x y z - 8 x y z + + 2 2 3 3 2 2 2 2 2 + + 9 x y z + 9 x y z - 8 x y z + 9 x y z - 81/8 x y z - 18 x y z + + 2 2 2 2 2 3 + + 16 x y z + 81/4 x y z , COEFF(2, 1, -1) = - 3/8 x z + 2 x y z + + 2 2 2 3 2 2 2 2 3 + + 9/2 x y z - 3 x y z + 1/4 x z - 27/4 x y z - 9/4 x y z + + 3 2 2 2 2 2 2 3 2 + - 3/8 z x + 6 x y z + 27/8 x y z - 9/4 x y z - 3 z y x + 1/4 x z + + 3 2 2 2 2 2 2 + + 27/8 z y x + 3/4 x z - 4 x y z - 1/2 x z + 2 x y z, + + 2 3 2 3 + COEFF(-1, 2, -1) = - 3/2 x y z - 3/4 x y z - 1/4 y z + x y z + + 2 2 2 2 2 2 3 2 2 + + 3 x y z - 2 x y z + 1/2 y z - 3/4 y z - 3/4 z y x - 3/2 x y z + + 2 3 3 2 2 2 3 2 2 + + 3/8 y z + x y z + 9/8 z y x + 3/8 y z + 3/2 x y z + + 2 2 2 2 2 2 + - 9/4 x y z + 9/8 x y z - 1/4 y z, COEFF(0, 2, -1) = 15/4 x y z + + 2 2 2 3 2 3 2 2 + + 5 x y z - 9/2 x y z + 9/4 z y x - 5/2 x y z - 15/2 x y z + + 3 2 2 2 3 2 2 2 2 2 2 + - 27/8 z y x + 15/4 x y z + 9/4 x y z - 27/8 x y z + 27/4 x y z + + 3 3 2 2 2 + - 5/2 x y z, COEFF(1, 2, -1) = 1/4 y z + 27/8 z y x - 3 x y z + + 3 2 2 2 3 2 3 2 2 + - 9/4 z y x + 3/4 y z + 2 x y z - 3/8 y z + 6 x y z + 2 x y z + + 2 2 2 2 2 2 2 3 + + 9/2 x y z - 3/8 y z + 27/8 x y z + 1/4 y z - 9/4 x y z - 3 x y z + + 2 2 2 2 2 3 2 2 + - 4 x y z - 27/4 x y z - 1/2 y z , COEFF(2, 2, -1) = - 9/8 z y x + + 3 3 2 2 2 2 2 2 + - 1/2 x y z - 1/2 x y z + 3/4 z y x - 3/2 x y z + 9/4 x y z + + 2 2 2 2 2 3 2 2 + - 3/2 x y z - 9/8 x y z + 3/4 x y z + 3/4 x y z + 3/4 x y z + + 2 2 2 2 2 3 + + x y z , COEFF(-1, -1, 0) = -x + 5/2 y z - 15/8 y z + 9/8 y z + + 3 2 2 2 2 3 2 + - 3/2 y z - y + 5/2 x z - 5/8 z - 15/8 x z + 3/8 z + 3/4 x + + 3 2 3 2 2 3 2 3 2 + - 9/2 z y x + 27/8 z y x + 9/8 z x - 3/2 x z + 3/4 y + + 2 2 2 3 3 2 2 2 2 + + 15/2 x y z - 9/2 x y z + 6 x y z + 9/4 x y + 15/2 x y z + + 2 2 2 2 2 2 + - 3 x y - 10 x y z - 45/8 x y z - 3 x y + 4 x y + 1/4, + + 3 2 2 2 2 2 2 + COEFF(0, -1, 0) = - 81/8 z y x + 45/8 x z + 5/2 x + 9 x y + 25 x y z + + 2 2 2 2 3 3 2 2 2 2 + + 135/8 x y z + 45/4 x y z - 27/8 z x - 75/4 x y z + 15/2 x y + + 2 2 3 2 2 3 2 + - 9/4 x - 25/4 x z + 15/4 x z - 10 x y - 45/2 x y z + 27/2 z y x + + 3 2 2 2 2 2 + - 15 x y z - 27/4 x y , COEFF(1, -1, 0) = -2 x - 5/2 y z + 15/8 y z + + 2 3 3 2 2 2 2 3 + - 9/8 y z + 3/2 y z + y + 5 x z + 5/8 z - 45/8 x z - 3/8 z + + 2 3 2 3 2 2 3 2 3 2 + + 9/4 x - 27/2 z y x + 81/8 z y x + 27/8 z x - 3 x z - 3/4 y + + 2 2 2 3 3 2 2 2 2 2 + + 15 x y z - 9 x y z + 12 x y z + 27/4 x y + 45/2 x y z - 9 x y + + 2 2 2 2 2 + - 20 x y z - 135/8 x y z - 6 x y + 8 x y - 1/4, COEFF(2, -1, 0) = + + 3 2 2 2 3 2 2 2 2 + - 9/8 z x + 1/2 x + 3/2 x y + 9/4 x y z + 3 x y + 45/8 x y z + + 2 2 2 3 3 2 2 2 2 + + 5 x y z - 15/2 x y z - 3 x y z - 27/8 z y x + 15/8 x z + + 2 2 2 2 2 2 3 + - 15/4 x y z - 3/4 x - 9/4 x y - 2 x y - 5/4 x z + 3/4 x z + + 3 2 2 3 2 2 + + 9/2 z y x , COEFF(-1, 0, 0) = 25 x y z - 15 x y z - 27/4 x y + + 2 2 2 2 3 2 2 3 + - 45/2 x y z - 25/4 y z - 9/4 y + 45/4 z y x + 5/2 y + 27/2 x y z + + 2 3 2 2 2 2 2 2 2 + + 9 x y + 15/4 y z - 75/4 x y z + 45/8 y z + 135/8 x y z + + 3 2 2 2 2 3 + - 81/8 z y x + 15/2 x y - 10 x y - 27/8 y z , COEFF(0, 0, 0) = + + 3 2 2 3 2 3 2 + - 135/4 z y x - 45/2 x y + 75/2 x y z - 135/4 x y z - 125/2 x y z + + 2 2 2 2 2 3 2 2 + - 45/2 x y + 81/4 x y + 225/4 x y z + 243/8 z y x + 25 x y + + 2 2 2 2 2 3 2 + - 405/8 x y z + 225/4 x y z , COEFF(1, 0, 0) = -30 x y z + 50 x y z + + 2 2 3 2 2 2 2 2 3 2 + - 45/8 y z - 15/4 y z + 405/8 x y z - 81/4 x y + 135/4 z y x + + 2 2 2 2 2 2 2 2 + + 25/4 y z - 225/4 x y z + 18 x y + 45/2 x y + 9/4 y - 45 x y z + + 2 3 3 2 2 2 3 + + 27 x y z - 243/8 z y x - 20 x y - 5/2 y + 27/8 y z , + + 2 2 2 2 2 2 2 + COEFF(2, 0, 0) = - 135/8 x y z + 75/4 x y z + 45/4 x y z + + 3 2 2 3 2 2 + + 81/8 z y x + 15/2 x y z - 9/2 x y - 25/2 x y z + 5 x y + + 2 2 2 3 2 3 2 + + 27/4 x y - 27/4 x y z - 15/2 x y - 45/4 z y x , COEFF(-1, 1, 0) = + + 2 2 2 2 3 3 2 2 + x + 5 y z - 45/8 y z + 27/8 y z - 3 y z - 2 y - 5/2 x z + 5/8 z + + 2 2 3 2 3 2 3 2 2 3 2 + + 15/8 x z - 3/8 z - 3/4 x - 9 z y x + 81/8 z y x - 9/8 z x + + 3 2 2 2 2 3 3 2 2 + + 3/2 x z + 9/4 y + 45/2 x y z - 27/2 x y z + 12 x y z + 27/4 x y + + 2 2 2 2 2 2 2 2 + + 15 x y z - 6 x y - 20 x y z - 135/8 x y z - 9 x y + 8 x y - 1/4, + + 3 2 3 2 2 2 2 2 + COEFF(0, 1, 0) = 27/8 z x - 243/8 z y x + 18 x y - 225/4 x y z + + 2 2 3 3 2 2 2 2 + + 45/2 x y + 135/4 x y z + 27 z y x - 45 x y z + 50 x y z + + 2 2 3 2 2 2 3 + - 45/8 x z - 15/4 x z + 9/4 x - 81/4 x y - 30 x y z - 20 x y + + 2 2 2 2 2 + + 25/4 x z + 405/8 x y z - 5/2 x, COEFF(1, 1, 0) = 2 x - 5 y z + + 2 2 2 3 3 2 2 2 2 + + 45/8 y z - 27/8 y z + 3 y z + 2 y - 5 x z - 5/8 z + 45/8 x z + + 3 2 3 2 3 2 2 3 2 3 + + 3/8 z - 9/4 x - 27 z y x + 243/8 z y x - 27/8 z x + 3 x z + + 2 2 2 2 3 3 2 2 2 2 + - 9/4 y + 45 x y z - 27 x y z + 24 x y z + 81/4 x y + 45 x y z + + 2 2 2 2 2 2 + - 18 x y - 40 x y z - 405/8 x y z - 18 x y + 16 x y + 1/4, + + 3 2 2 2 2 2 2 3 + COEFF(2, 1, 0) = - 81/8 z y x + 135/8 x y z + 27/4 x y z + + 2 3 3 2 2 2 2 2 + + 10 x y z - 6 x y z + 9/8 z x - 15 x y z - 1/2 x - 45/4 x y z + + 2 2 2 2 2 3 2 2 + + 5/4 x z - 15/8 x z - 27/4 x y + 9 z y x + 6 x y - 4 x y + + 3 2 2 3 2 2 2 + - 3/4 x z + 3/4 x + 9/2 x y , COEFF(-1, 2, 0) = - 27/8 z y x + 3 x y + + 3 2 3 2 3 2 2 2 2 2 + + 3/4 y z + 9/2 x y z - 9/8 y z - 15/2 x y z - 5/4 y z - 9/4 x y + + 2 2 2 2 3 2 2 2 + + 5 x y z + 1/2 y + 45/8 x y z + 9/4 z y x + 15/8 y z + + 2 2 2 2 3 + - 15/4 x y z + 3/2 x y - 3/4 y - 3 x y z - 2 x y, COEFF(0, 2, 0) = + + 2 2 3 2 2 3 2 + - 9/2 x y - 25/2 x y z + 15/2 x y z + 27/4 x y - 27/4 z y x + + 2 2 2 3 2 2 2 3 2 2 + + 45/4 x y z - 45/4 x y z - 15/2 x y + 75/4 x y z + 81/8 z y x + + 2 2 2 3 3 2 + - 135/8 x y z + 5 x y, COEFF(1, 2, 0) = -6 x y z + 27/4 z y x + + 2 2 2 2 2 2 2 3 + - 45/4 x y z + 3/4 y - 15/8 y z - 1/2 y + 9/2 x y + 9/8 y z + + 2 3 2 2 2 3 2 2 2 2 + + 5/4 y z - 81/8 z y x + 9 x y z + 10 x y z + 135/8 x y z + + 2 2 2 2 3 2 + - 27/4 x y - 4 x y - 15 x y z - 3/4 y z + 6 x y , COEFF(2, 2, 0) = + + 2 2 2 2 2 2 3 2 3 2 2 + x y - 45/8 x y z + 15/4 x y z - 3/2 x y - 9/4 z y x + 27/8 z y x + + 3 2 3 2 2 2 2 + + 3/2 x y z - 9/4 x y z + 9/4 x y - 5/2 x y z - 3/2 x y + + 2 2 2 2 + + 15/4 x y z , COEFF(-1, -1, 1) = 3/8 x z - 2 y z - 1/2 x z - 1/2 y z + + 2 2 2 3 3 2 2 2 + + 3/2 y z - 9/8 y z + 3/2 y z + 3/8 y z + 1/8 z - 2 x z + 1/2 z + + 2 2 3 3 2 3 2 2 3 2 3 + + 3/2 x z - 3/8 z + 9/2 z y x - 27/8 z y x - 9/8 z x + 3/2 x z + + 2 2 2 2 3 3 2 + - 6 x y z + 2 x y z - 3/2 x y z + 9/2 x y z - 6 x y z - 3/2 x y z + + 2 2 2 2 2 2 2 2 + + 9/8 x y z - 6 x y z + 8 x y z + 9/2 x y z , COEFF(0, -1, 1) = + + 2 2 2 2 2 2 2 + 18 x y z + 9/2 x y z - 9/8 x z + 15/4 x y z + 15 x y z + + 2 3 2 2 2 2 2 3 2 2 + - 45/4 x y z - 5 x y z - 9/2 x z - 27/2 x y z + 81/8 z y x + + 3 2 3 2 2 2 + + 15 x y z + 5/4 x z - 20 x y z - 15/4 x z + 5 x z - 27/8 x y z + + 3 2 3 2 2 2 + - 27/2 z y x + 27/8 z x , COEFF(1, -1, 1) = 9/8 x z + 2 y z - x z + + 2 2 2 3 3 2 2 + + 1/2 y z - 3/2 y z + 9/8 y z - 3/2 y z - 3/8 y z - 1/8 z - 4 x z + + 2 2 2 3 3 2 3 2 2 3 2 + - 1/2 z + 9/2 x z + 3/8 z + 27/2 z y x - 81/8 z y x - 27/8 z x + + 3 2 2 2 2 3 3 + + 3 x z - 12 x y z + 4 x y z - 9/2 x y z + 9 x y z - 12 x y z + + 2 2 2 2 2 2 2 2 2 + - 3 x y z + 27/8 x y z - 18 x y z + 16 x y z + 27/2 x y z , + + 2 2 2 2 2 2 3 2 2 + COEFF(2, -1, 1) = - 9/2 x y z + 3/4 x y z + 6 x y z + 27/8 z y x + + 2 2 2 3 2 3 3 2 + + 3/2 x y z - 4 x y z - 3/8 x z + 3 x y z - 9/4 x y z - 9/2 z y x + + 3 2 3 2 2 2 2 2 + - 3/4 x z + x z + 9/8 z x - x y z + 1/4 x z + 3 x y z - 3/2 x z + + 2 2 3 2 2 + - 9/8 x y z, COEFF(-1, 0, 1) = - 15/4 y z + 5/4 y z + 15 x y z + + 2 2 3 2 2 2 2 2 2 2 + - 20 x y z + 27/8 y z - 27/2 x y z - 9/2 y z + 9/2 x y z + 5 y z + + 2 2 3 2 2 2 3 2 + + 18 x y z + 81/8 z y x - 27/2 x y z + 15/4 x y z - 5 x y z + + 2 2 2 3 2 3 + - 27/8 x y z - 9/8 y z - 45/4 z y x + 15 x y z , COEFF(0, 0, 1) = + + 2 2 2 2 2 3 2 2 2 + -45 x y z - 45 x y z + 135/4 x y z - 45/4 x y z + 81/8 x y z + + 3 2 3 2 2 2 2 + + 135/4 z y x - 75/2 x y z - 45/4 x y z + 25/2 x y z + 81/2 x y z + + 3 2 2 2 2 2 3 2 2 + - 243/8 z y x + 50 x y z , COEFF(1, 0, 1) = 36 x y z + 243/8 z y x + + 3 2 2 2 3 2 2 2 2 + + 15/4 y z + 9/2 y z - 40 x y z - 135/4 z y x + 45 x y z - 5 y z + + 2 2 3 2 2 2 2 2 + + 45/4 x y z - 27/8 y z + 9 x y z - 81/2 x y z + 9/8 y z + + 2 3 2 2 3 + - 27 x y z - 81/8 x y z - 10 x y z - 5/4 y z + 30 x y z , + + 2 2 2 2 2 3 2 2 3 + COEFF(2, 0, 1) = 27/2 x y z + 27/8 x y z - 81/8 z y x - 15/2 x y z + + 3 2 2 2 2 2 + + 45/4 z y x + 5/2 x y z + 10 x y z - 15/4 x y z - 9 x y z + + 2 3 2 2 2 2 + + 27/4 x y z - 9/4 x y z - 15 x y z , COEFF(-1, 1, 1) = - 3/8 x z + + 2 2 2 2 3 3 2 + - 4 y z + 1/2 x z - y z + 9/2 y z - 27/8 y z + 3 y z + 9/8 y z + + 2 2 2 2 3 3 2 3 2 2 + - 1/8 z + 2 x z - 1/2 z - 3/2 x z + 3/8 z + 9 z y x - 81/8 z y x + + 3 2 3 2 2 2 2 3 + + 9/8 z x - 3/2 x z - 18 x y z + 4 x y z - 3 x y z + 27/2 x y z + + 3 2 2 2 2 2 2 + - 12 x y z - 9/2 x y z + 27/8 x y z - 12 x y z + 16 x y z + + 2 2 2 2 2 + + 27/2 x y z , COEFF(0, 1, 1) = -40 x y z + 9 x y z - 5/4 x z + + 2 3 2 2 2 3 2 + + 9/8 x z + 30 x y z - 10 x y z - 5 x z + 36 x y z - 27 z y x + + 3 2 2 2 2 2 2 2 2 2 2 + + 243/8 z y x + 9/2 x z - 81/8 x y z + 45/4 x y z - 81/2 x y z + + 3 2 2 2 3 2 3 + - 27/8 z x + 45 x y z + 15/4 x z - 135/4 x y z , COEFF(1, 1, 1) = + + 2 2 2 2 2 3 3 + - 9/8 x z + 4 y z + x z + y z - 9/2 y z + 27/8 y z - 3 y z + + 2 2 2 2 2 3 3 2 + - 9/8 y z + 1/8 z + 4 x z + 1/2 z - 9/2 x z - 3/8 z + 27 z y x + + 3 2 2 3 2 3 2 2 2 + - 243/8 z y x + 27/8 z x - 3 x z - 36 x y z + 8 x y z - 9 x y z + + 2 3 3 2 2 2 2 2 + + 27 x y z - 24 x y z - 9 x y z + 81/8 x y z - 36 x y z + + 2 2 2 2 2 3 2 2 + + 32 x y z + 81/2 x y z , COEFF(2, 1, 1) = - 27/4 x y z + 3/2 x z + + 2 2 3 2 2 3 2 2 2 2 2 + + 12 x y z - 9 z y x - x z - 9/8 z x - 27/8 x y z + 9 x y z + + 2 2 2 2 3 2 2 3 2 + - 8 x y z - 27/2 x y z - 2 x y z + 81/8 z y x + 6 x y z + 3/8 x z + + 2 3 2 + + 9/4 x y z + 3/4 x z - 1/4 x z + 3 x y z, COEFF(-1, 2, 1) = -x y z + + 2 3 2 2 2 + + 1/4 y z - 3/8 y z + 3 x y z + 3/4 x y z + 3/2 x y z + y z + + 3 2 2 2 3 3 2 2 2 + - 3/4 y z + 3 x y z - 9/2 x y z - 9/4 z y x - 3/2 y z + + 2 2 3 2 2 2 2 2 3 2 + - 9/8 x y z + 27/8 z y x + 6 x y z + 9/8 y z - 4 x y z + + 2 2 2 2 2 2 2 + - 9/2 x y z , COEFF(0, 2, 1) = 27/2 x y z - 9/4 x y z + + 3 2 2 3 2 2 2 2 2 3 + - 81/8 z y x - 15/2 x y z - 9 x y z + 27/8 x y z + 45/4 x y z + + 3 2 2 2 2 2 + + 27/4 z y x + 5/2 x y z + 10 x y z - 15 x y z - 15/4 x y z, + + 3 2 2 2 2 3 2 2 + COEFF(1, 2, 1) = 81/8 z y x + 9/4 x y z - 9/8 y z - 27/8 x y z + + 2 2 2 2 2 2 2 2 + - 27/2 x y z + 3 x y z - y z + 3/8 y z + 3/2 y z - 1/4 y z + + 2 2 2 2 3 2 2 2 3 + - 2 x y z + 12 x y z + 9 x y z - 27/4 z y x - 8 x y z - 9 x y z + + 3 3 3 2 2 2 + + 3/4 y z + 6 x y z , COEFF(2, 2, 1) = - 27/8 z y x - 3/4 x y z + + 3 2 2 2 2 2 2 + - 3/2 x y z - 3/4 x y z + 9/8 x y z + 1/2 x y z + 2 x y z - 3 x y z + + 2 3 2 2 2 2 2 3 2 + + 9/4 x y z - 3 x y z + 9/2 x y z + 9/4 z y x , COEFF(-1, -1, 2) + + 3 2 2 3 2 2 2 2 2 2 3 2 + = 1/8 z - 3/8 y z + 9/8 z y x + 1/2 y z - 9/8 x y z + 3/8 z x + + 2 2 3 2 3 3 2 2 + - 2 x y z + 1/2 x z - 1/2 y z - 3/2 x y z - 1/2 x z + 3/2 x y z + + 3 2 2 2 3 2 3 2 2 2 + + 2 x y z - 3/8 x z + 3/8 y z - 1/8 z - 3/2 z y x + 3/2 x y z , + + 2 2 2 2 3 2 + COEFF(0, -1, 2) = - 15/4 x y z - 5/4 x z + 5 x y z - 9/8 z x + + 2 2 2 3 2 2 2 3 3 2 2 + + 27/8 x y z - 27/8 z y x + 15/4 x y z + 5/4 x z - 9/2 x y z + + 2 2 3 2 3 3 + + 9/8 x z + 9/2 z y x - 5 x y z , COEFF(1, -1, 2) = 1/2 y z + + 3 2 2 2 2 2 2 2 2 2 2 + + 27/8 z y x - 4 x y z + 3/8 y z + 9/2 x y z - 27/8 x y z + + 3 2 2 2 3 2 3 2 2 2 + + 4 x y z - 1/2 y z + 3 x y z - 1/8 z + x z + 9/8 z x - 9/8 x z + + 2 2 3 3 3 2 2 3 + + 1/8 z - 3/8 y z - x z - 9/2 z y x - 3 x y z , COEFF(2, -1, 2) = + + 3 2 3 2 2 2 3 2 2 2 2 + 3/2 z y x - 9/8 z y x + 3/4 x y z + x y z - 1/4 x z + 3/8 x z + + 2 2 2 3 2 2 2 3 3 2 2 + + 9/8 x y z - 3/8 z x - 3/2 x y z - x y z + 1/4 x z - 3/4 x y z + + 2 3 2 2 2 2 2 + , COEFF(-1, 0, 2) = 9/2 x y z - 15/4 x y z - 5/4 y z - 9/2 x y z + + 2 2 3 2 2 2 2 3 3 + + 9/8 y z + 15/4 z y x + 27/8 x y z - 5 x y z + 5/4 y z + + 3 2 2 2 3 2 2 2 + - 27/8 z y x - 9/8 y z + 5 x y z , COEFF(0, 0, 2) = 45/4 x y z + + 3 2 2 2 3 2 2 2 2 2 + + 81/8 z y x - 45/4 x y z + 45/4 x y z - 81/8 x y z + + 3 2 2 3 3 + - 45/4 z y x - 25/2 x y z + 25/2 x y z , COEFF(1, 0, 2) = - 5/4 y z + + 2 2 2 2 2 3 3 2 2 2 + - 9/8 y z - 9 x y z + 9/8 y z + 45/4 z y x - 45/4 x y z + + 3 2 2 2 2 3 2 2 2 + - 81/8 z y x + 5/4 y z + 10 x y z - 10 x y z + 81/8 x y z + + 2 3 2 3 2 3 2 + + 9 x y z , COEFF(2, 0, 2) = - 9/4 x y z - 5/2 x y z - 15/4 z y x + + 2 2 2 3 2 2 3 2 2 2 2 + - 27/8 x y z + 5/2 x y z + 9/4 x y z + 27/8 z y x + 15/4 x y z , + + 2 3 3 2 2 3 2 2 + COEFF(-1, 1, 2) = - 9/2 x y z - 3 z y x + 9/8 y z + 3/8 x z + + 2 2 2 3 2 3 2 2 2 2 2 + - 27/8 x y z + 4 x y z - 1/2 x z + 27/8 z y x + 3 x y z + 1/8 z + + 3 3 2 3 2 2 2 2 3 + - y z - 1/8 z - 4 x y z - 3/8 z x + 9/2 x y z + y z + 1/2 x z + + 2 2 2 2 2 3 + - 9/8 y z , COEFF(0, 1, 2) = -9 x y z + 5/4 x z - 10 x y z + + 2 3 3 2 2 2 2 2 3 2 + + 45/4 x y z + 9 z y x - 45/4 x y z - 9/8 x z + 9/8 z x + + 2 2 2 3 2 2 3 2 + + 81/8 x y z - 81/8 z y x - 5/4 x z + 10 x y z , COEFF(1, 1, 2) = + + 3 3 2 2 2 3 2 2 3 2 2 + 8 x y z + x z - 81/8 x y z + 1/8 z + 9/8 y z + y z + 9 x y z + + 2 2 3 2 2 3 2 2 2 2 + - y z - 9/8 y z - 1/8 z - 9 x y z + 9/8 x z + 9 x y z + + 3 2 3 2 2 3 2 2 2 + - 9 z y x + 81/8 z y x - 9/8 z x - 8 x y z - x z , COEFF(2, 1, 2) + + 2 3 2 2 2 2 2 2 2 2 + = 9/4 x y z + 2 x y z + 27/8 x y z - 9/4 x y z - 3 x y z + + 2 2 3 2 2 3 3 2 2 3 2 + - 3/8 x z - 27/8 z y x - 2 x y z + 3 z y x + 1/4 x z + 3/8 z x + + 3 2 3 2 2 2 2 + - 1/4 x z , COEFF(-1, 2, 2) = - 3/8 y z + 3/8 y z - 3/2 x y z + + 2 2 2 2 3 2 3 3 2 2 + - 3/4 x y z - 1/4 y z + x y z + 1/4 y z + 3/2 x y z - 9/8 z y x + + 3 3 2 2 2 2 2 3 + - x y z + 3/4 z y x + 9/8 x y z , COEFF(0, 2, 2) = - 15/4 x y z + + 2 2 2 2 2 3 2 2 2 3 + + 15/4 x y z - 27/8 x y z - 9/4 z y x + 9/4 x y z + 5/2 x y z + + 2 3 2 2 2 2 2 + - 5/2 x y z + 27/8 z y x , COEFF(1, 2, 2) = - 3/8 y z + 2 x y z + + 3 2 3 2 3 2 3 2 2 2 + + 9/4 z y x - 2 x y z + 3 x y z + 3/8 y z + 27/8 x y z + + 2 2 2 3 2 2 2 2 3 + - 9/4 x y z + 1/4 y z - 27/8 z y x - 3 x y z - 1/4 y z , + + 3 3 2 3 2 2 2 3 + COEFF(2, 2, 2) = 1/2 x y z - 3/4 z y x + 9/8 z y x - 3/4 x y z + + 2 2 2 2 2 2 2 2 + + 3/4 x y z + 3/4 x y z - 1/2 x y z - 9/8 x y z ] + +> print_coeff__lc_of_data(%, "coeff_dxy_", "fp", +> "3d.coeffs/3d.cube.order2/coeff-dxy.compute.c"); +bytes used=1868103184, alloc=8976788, time=260.20 +bytes 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used=2105155924, alloc=8976788, time=297.72 +bytes used=2106156120, alloc=8976788, time=297.84 +bytes used=2107156276, alloc=8976788, time=300.93 +bytes used=2108156492, alloc=8976788, time=302.59 +bytes used=2109156768, alloc=8976788, time=302.99 +bytes used=2110157108, alloc=8976788, time=303.08 +bytes used=2111157328, alloc=8976788, time=303.16 +bytes used=2112157492, alloc=8976788, time=303.24 +bytes used=2113157660, alloc=8976788, time=303.32 +bytes used=2114157860, alloc=8976788, time=303.39 +bytes used=2115158020, alloc=8976788, time=303.47 +bytes used=2116158180, alloc=8976788, time=303.55 +bytes used=2117158352, alloc=8976788, time=303.62 +bytes used=2118158516, alloc=8976788, time=303.91 +bytes used=2119159624, alloc=8976788, time=304.16 +bytes used=2120159796, alloc=8976788, time=304.36 +bytes used=2121159972, alloc=8976788, time=304.60 +bytes used=2122160220, alloc=8976788, time=304.78 +bytes used=2123160396, alloc=8976788, time=304.91 +bytes used=2124160704, alloc=8976788, time=306.07 +bytes used=2125160932, alloc=8976788, time=309.31 +bytes used=2126162160, alloc=8976788, time=310.10 +bytes used=2127163928, alloc=8976788, time=310.38 +bytes used=2128164760, alloc=8976788, time=310.58 +bytes used=2129165112, alloc=8976788, time=310.63 +bytes used=2130165352, alloc=8976788, time=310.71 +bytes used=2131165524, alloc=8976788, time=310.86 +bytes used=2132165720, alloc=8976788, time=311.01 +> +# d^2/dxdz +> simplify( diff(interp_3d_cube_order2,x,z) ); +bytes used=2133166460, alloc=8976788, time=311.17 +bytes used=2134243400, alloc=8976788, time=311.27 +bytes used=2135243964, alloc=8976788, time=311.34 +bytes used=2136244156, alloc=8976788, time=311.43 +bytes used=2137244880, alloc=8976788, time=311.52 +bytes used=2138245008, alloc=8976788, time=311.61 +bytes used=2139245180, alloc=8976788, time=311.69 +bytes used=2140245304, alloc=8976788, time=311.78 +bytes used=2141245436, alloc=8976788, time=311.87 +bytes used=2142246176, alloc=8976788, time=311.96 +bytes used=2143246964, alloc=8976788, time=312.05 +bytes used=2144247784, alloc=8976788, time=312.14 +bytes used=2145248168, alloc=8976788, time=312.21 + 2 2 +1/4 DATA(1, 0, 1) - 1/8 y DATA(1, 2, 1) - 9/4 x DATA(0, 0, -1) + + 2 2 2 + + 9/4 x DATA(0, 0, 1) + 3/4 x DATA(-1, 0, -1) - 3/4 x DATA(-1, 0, 1) + + 2 2 2 2 + + 15/8 x y DATA(-1, 0, 1) + 45/8 x y DATA(1, 0, 1) + + 2 2 2 2 + - 9/8 x y DATA(0, 2, 1) - 9/2 x y DATA(0, 1, -1) + + 2 2 2 2 + + 3/8 x y DATA(2, 2, -1) - 3/8 x y DATA(2, 2, 1) + + 2 2 2 + - 3/4 x y DATA(2, -1, -1) + 9/4 x DATA(1, 0, -1) + + 2 2 + - 4 x y z DATA(-1, 1, 2) + 2 x y z DATA(1, 2, 2) + + 2 2 + - 20 x y z DATA(1, -1, 0) - 20 x y z DATA(-1, 1, 0) + + 2 2 + + 10 x y z DATA(1, 2, 0) + 5 x y z DATA(-1, 2, 0) + + 2 2 2 + - 8 x y z DATA(1, 1, 2) + 3/8 x y DATA(-1, 2, 1) + + 2 2 + + 25 x y z DATA(-1, 0, 0) - 25/2 x y z DATA(0, 0, 2) + + 2 2 + - 40 x y z DATA(1, 1, 0) - 5/2 x y z DATA(2, 0, 2) + + 2 2 + + 10 x y z DATA(1, 0, 2) - 25/2 x y z DATA(2, 0, 0) + + 2 2 + - 125/2 x y z 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y z DATA(-1, -1, 0) + 81/8 x y z DATA(1, 1, 1) + + 2 2 2 2 + - 81/8 x y z DATA(0, 1, 1) - 27/8 x y z DATA(-1, 1, 0) + + 2 2 2 2 + + 27/8 x y z DATA(1, 1, -1) - 27/8 x y z DATA(2, -1, 0) + + 2 2 2 2 + - 81/8 x y z DATA(0, -1, 0) + 27/8 x y z DATA(2, 1, 0) + + 2 2 2 2 + + 9/8 x y z DATA(2, 1, 2) - 9/8 x y z DATA(-1, 1, 2) + + 2 2 2 2 + + 81/8 x y z DATA(0, 1, 0) - 81/8 x y z DATA(1, 1, 0) + + 2 2 2 2 2 + + 81/8 x y z DATA(1, -1, 0) - 45/8 x y z DATA(2, 0, 2) + + 2 2 2 2 2 2 + + 9/4 x y z DATA(-1, -1, -1) + 27/4 x y z DATA(-1, -1, 1) + + 2 2 2 2 2 2 + + 81/4 x y z DATA(1, -1, 1) + 27/4 x y z DATA(1, -1, -1) + + 2 2 2 2 2 2 + + 9/2 x y z DATA(-1, 1, -1) + 27/2 x y z DATA(1, 1, -1) + + 2 2 2 2 2 2 + + 27/2 x y z DATA(-1, 1, 1) + 81/8 x y z DATA(0, 2, 1) + + 2 2 2 2 2 2 + + 27/8 x y z DATA(0, 2, -1) + 45/8 x y z DATA(2, 0, -1) + + 2 2 2 2 2 2 + + 135/8 x y z DATA(2, 0, 1) - 9/8 x y z DATA(-1, 2, -1) + + 2 2 2 2 2 2 + - 27/4 x y z DATA(0, -1, -1) - 27/2 x y z DATA(2, 1, 1) + + 2 2 2 2 2 2 + - 81/4 x y z DATA(0, -1, 1) - 81/8 x y z DATA(1, 2, 1) + + 2 2 2 2 2 2 + - 9/2 x y z DATA(2, 1, -1) - 27/8 x y z DATA(-1, 2, 1) + + 2 2 2 2 2 2 + - 27/8 x y z DATA(0, 2, 2) - 135/8 x y z DATA(1, 0, -1) + + 2 2 2 2 2 2 + + 135/8 x y z DATA(1, 0, 2) + 45/8 x y z DATA(-1, 0, 2) + + 2 2 2 2 2 2 + - 27/2 x y z DATA(1, 1, 2) + 27/4 x y z DATA(0, -1, 2) + + 2 2 2 2 2 2 + + 27/2 x y z DATA(0, 1, 2) - 135/8 x y z DATA(0, 0, 2) + + 2 2 2 2 2 2 + + 9/8 x y z DATA(2, 2, -1) + 27/8 x y z DATA(2, 2, 1) + + 2 2 2 2 2 2 + - 27/8 x y z DATA(1, 2, -1) + 9/4 x y z DATA(2, -1, 2) + + 2 2 2 2 2 2 + - 27/4 x y z DATA(1, -1, 2) - 9/8 x y z DATA(2, 2, 2) + + 2 2 2 + + 9/8 x y z DATA(-1, 2, 2) + 1/4 DATA(-1, 0, -1) - 1/4 DATA(-1, 0, 1) + + - 1/4 DATA(1, 0, -1) + +> coeff_as_lc_of_data(%, posn_list_3d_size4); +bytes used=2146268608, alloc=8976788, time=312.30 +bytes used=2147310324, alloc=8976788, time=312.39 +bytes used=2148384700, alloc=8976788, time=312.48 +bytes used=2149385656, alloc=8976788, time=312.57 +bytes used=2150410832, alloc=8976788, time=312.66 +bytes used=2151493640, alloc=8976788, time=312.76 +bytes used=2152570820, alloc=8976788, time=312.86 +bytes used=2153576684, alloc=8976788, time=312.96 +bytes used=2154632872, alloc=8976788, time=313.06 +bytes used=2155653512, alloc=8976788, time=313.17 +bytes used=2156658820, alloc=8976788, time=313.28 +bytes used=2157666264, alloc=8976788, time=313.39 +bytes used=2158692728, alloc=8976788, time=313.46 +bytes used=2159705196, alloc=8976788, time=313.52 +bytes used=2160717664, alloc=8976788, time=313.59 + 2 2 2 3 2 3 +[COEFF(-1, -1, -1) = - 3/8 y z + 1/2 y z + 3/4 y z - 3/8 y z + 1/2 y z + + 2 2 2 2 3 3 2 3 2 + - y z - 1/8 y + 1/4 y - 3 x y z - 1/8 y - 3/8 y x + 3/2 x y z + + 3 2 2 2 2 3 + + 1/2 x y - 2 x y z + 3/2 x y z + 4 x y z - 3 x y z - 2 x y z + + 2 2 2 2 2 2 2 2 2 2 + + 3/4 x y - 9/8 x y z - 3/8 x y + 3/2 x y z + 9/4 x y z - x y + + 2 3 2 3 2 2 2 + + 1/2 x y - 9/8 z y x + 3/2 z y x , COEFF(0, -1, -1) = 15/2 x y z + + 2 3 2 2 2 2 3 2 2 2 2 + + 27/8 z y x - 10 x y z - 9/4 x y - 9/2 z y x - 27/4 x y z + + 2 2 2 2 2 2 2 + + 9 x y z - 9/2 x y z + 5 x y z - 15/4 x y z + 27/8 x y z + 9/8 x y + + 2 3 2 3 2 3 3 + + 5/2 x y + 9/8 y x - 5/4 x y - 15/4 x y z - 5/4 x y + 5 x y z, + + 2 2 2 3 2 3 + COEFF(1, -1, -1) = 3/8 y z - 1/2 y z - 3/4 y z + 3/8 y z - 1/2 y z + + 2 2 2 2 3 3 2 3 2 + + y z + 1/8 y - 1/4 y - 6 x y z + 1/8 y - 9/8 y x + 3 x y z + + 3 2 2 2 2 3 + + x y - 4 x y z + 9/2 x y z + 8 x y z - 9 x y z - 4 x y z + + 2 2 2 2 2 2 2 2 2 2 + + 9/4 x y - 27/8 x y z - 9/8 x y + 3 x y z + 27/4 x y z - 2 x y + + 2 3 2 3 2 2 + + x y - 27/8 z y x + 9/2 z y x , COEFF(2, -1, -1) = - 3/2 x y z + + 2 2 2 3 2 2 3 2 + - 2 x y z - 3/4 x y - 1/4 x y + x y z + 3/2 x y z - 3/4 x y z + + 2 2 2 2 2 2 3 2 3 2 2 + - 9/4 x y z + x y z + 9/8 x y z + 9/8 z y x + 3/8 y x + 1/2 x y + + 3 2 2 3 2 2 2 + - 3/2 z y x + 3/8 x y - 1/4 x y - 3/4 x y z + 3 x y z, + + 2 2 2 3 2 3 + COEFF(-1, 0, -1) = -x - 3 x z + 4 x z - 15/8 y z + 9/8 y z - 3/2 y z + + 2 2 2 2 2 2 2 + + 5/2 y z - z - 3 x z + 3/4 z + 9/4 x z + 3/4 x - 5/8 y + + 2 2 3 3 2 3 2 3 2 + + 15/2 x y z + 3/8 y + 9/8 y x - 9/2 x y z - 3/2 x y - 10 x y z + + 2 2 3 2 2 2 2 2 2 + + 15/2 x y z + 6 x y z - 15/8 x y - 45/8 x y z + 5/2 x y + 1/4 + + 2 3 2 3 2 2 2 + + 27/8 z y x - 9/2 z y x , COEFF(0, 0, -1) = -10 x z - 27/4 x z + + 3 2 2 3 2 2 2 2 2 + + 27/2 z y x - 81/8 z y x + 9 x z + 45/8 x y + 25 x y z + + 2 2 2 2 2 2 3 3 2 + - 75/4 x y z - 25/4 x y + 135/8 x y z - 15 x y z - 27/8 y x + + 2 2 2 2 3 2 3 + + 15/2 x z + 5/2 x - 9/4 x - 45/2 x y z + 45/4 x y z + 15/4 x y , + + 2 2 2 3 2 3 + COEFF(1, 0, -1) = -2 x - 9 x z + 8 x z + 15/8 y z - 9/8 y z + 3/2 y z + + 2 2 2 2 2 2 2 + - 5/2 y z + z - 6 x z - 3/4 z + 27/4 x z + 9/4 x + 5/8 y + + 2 2 3 3 2 3 2 3 2 + + 15 x y z - 3/8 y + 27/8 y x - 9 x y z - 3 x y - 20 x y z + + 2 2 3 2 2 2 2 2 2 + + 45/2 x y z + 12 x y z - 45/8 x y - 135/8 x y z + 5 x y - 1/4 + + 2 3 2 3 2 3 + + 81/8 z y x - 27/2 z y x , COEFF(2, 0, -1) = 3/4 x y + 1/2 x + + 2 2 2 3 2 3 2 2 3 2 + - 3/4 x + 5 x y z - 27/8 z y x + 9/4 x y z + 3 x z + 9/2 z y x + + 2 2 2 2 2 3 2 2 2 2 + - 5/4 x y - 15/4 x y z - 2 x z - 9/4 x z - 9/8 y x + 45/8 x y z + + 3 2 2 2 2 2 + - 3 x y z + 3/2 x z + 15/8 x y - 15/2 x y z, COEFF(-1, 1, -1) = + + 2 2 2 3 2 3 2 + 3/8 y z - 1/2 y z + 3/2 y z - 9/8 y z + 3/2 y z - 2 y z + 1/8 y + + 2 2 2 3 3 2 3 2 3 + + 1/2 y - 6 x y z - 3/8 y - 9/8 y x + 9/2 x y z + 3/2 x y + + 2 2 2 2 3 2 2 + + 2 x y z - 3/2 x y z + 8 x y z - 6 x y z - 6 x y z + 3/2 x y + + 2 2 2 2 2 2 2 2 + + 9/8 x y z + 3/8 x y - 3/2 x y z + 9/2 x y z - 2 x y - 1/2 x y + + 2 3 2 3 2 3 3 2 + - 27/8 z y x + 9/2 z y x , COEFF(0, 1, -1) = 15 x y z + 27/8 y x + + 3 2 2 2 3 2 2 + - 27/2 z y x + 15/4 x y z + 5/4 x y + 81/8 z y x + 9/2 x y z + + 2 2 3 2 2 2 2 2 + - 5 x y z - 9/2 x y - 45/4 x y z - 27/2 x y z - 9/8 x y + + 3 2 2 2 2 2 2 2 2 + - 15/4 x y + 5 x y + 15 x y z - 27/8 x y z - 20 x y z + 18 x y z, + + 2 2 2 3 2 3 + COEFF(1, 1, -1) = - 3/8 y z + 1/2 y z - 3/2 y z + 9/8 y z - 3/2 y z + + 2 2 2 2 3 3 2 3 2 + + 2 y z - 1/8 y - 1/2 y - 12 x y z + 3/8 y - 27/8 y x + 9 x y z + + 3 2 2 2 2 3 + + 3 x y + 4 x y z - 9/2 x y z + 16 x y z - 18 x y z - 12 x y z + + 2 2 2 2 2 2 2 2 2 2 + + 9/2 x y + 27/8 x y z + 9/8 x y - 3 x y z + 27/2 x y z - 4 x y + + 2 3 2 3 2 2 2 + - x y - 81/8 z y x + 27/2 z y x , COEFF(2, 1, -1) = 3 x y z + + 3 2 3 2 2 2 3 2 + - 9/2 z y x - 3/4 x y - 9/8 x y z + 27/8 z y x + 1/4 x y + + 2 2 3 2 2 2 2 2 3 2 + - 3/2 x y + 9/8 y x - x y z - 3/8 x y - 9/2 x y z - 9/4 x y z + + 2 2 2 2 2 2 3 + + 3/2 x y z + 6 x y z + x y - 4 x y z + 3/4 x y z + 3 x y z, + + 2 2 2 2 3 2 2 + COEFF(-1, 2, -1) = - 9/8 x y z - 1/8 y - 3/2 x y z + 1/2 x y + + 3 2 3 2 2 2 2 2 3 2 + - 1/2 x y + 1/2 y z - 3/2 z y x - 3/8 x y + 3/2 x y z + 3/8 y z + + 3 2 2 2 2 3 2 3 2 2 2 + + 3/8 y x + 3/2 x y z + 9/8 z y x + 2 x y z - 2 x y z - 3/8 y z + + 3 3 2 2 2 3 2 + - 1/2 y z + 1/8 y , COEFF(0, 2, -1) = 9/8 x y + 5 x y z + 15/4 x y z + + 3 2 2 2 3 2 3 2 2 2 + - 9/8 y x - 15/4 x y z + 5/4 x y - 27/8 z y x - 9/2 x y z + + 2 2 2 3 2 2 3 + + 27/8 x y z + 9/2 z y x - 5/4 x y - 5 x y z, COEFF(1, 2, -1) = + + 2 2 2 3 2 3 2 2 2 3 2 2 2 + 9/2 x y z + 27/8 z y x - 3 x y z + 3 x y z + 9/8 y x + 3/8 y z + + 3 2 3 3 2 2 2 2 3 + - 3/8 y z - x y - 1/8 y - 27/8 x y z + 1/8 y + 4 x y z + + 2 2 2 2 3 3 2 2 + - 9/8 x y + x y - 4 x y z + 1/2 y z - 9/2 z y x - 1/2 y z, + + 2 2 3 2 3 2 + COEFF(2, 2, -1) = - 3/2 x y z + 1/4 x y - 1/4 x y + 3/2 z y x + + 2 2 2 2 2 2 2 2 3 2 2 + - 3/4 x y z + 9/8 x y z + 3/8 x y - 9/8 z y x + x y z + + 3 2 3 3 2 + + 3/4 x y z - x y z - 3/8 y x , COEFF(-1, -1, 0) = - 5/4 y z + + 2 2 2 3 3 2 + - 9/4 y z - 10 x y z + 5 x y z - 5/4 y z + 5 x y z + 5/2 y z + + 2 3 2 2 2 2 2 2 2 2 + + 27/8 z y x + 9 x y z + 15/2 x y z - 9/2 x y z + 27/8 x y z + + 3 2 2 2 3 2 3 2 + + 9/8 y z - 15/4 x y z + 9/8 y z - 15/4 z y x - 9/2 x y z + + 2 2 2 2 + - 27/4 x y z , COEFF(0, -1, 0) = - 25/2 x y z + 45/4 x y z + + 2 2 2 2 2 2 2 3 2 + + 45/4 x y z + 81/4 x y z - 81/8 x y z - 81/8 z y x + + 2 2 3 2 3 2 3 2 + - 45/2 x y z - 25/2 x y z + 25 x y z + 45/4 x y z + 45/4 z y x + + 2 2 2 2 2 2 + - 45/2 x y z, COEFF(1, -1, 0) = - 81/4 x y z + 10 x y z - 5/2 y z + + 2 3 2 3 2 2 2 + - 20 x y z + 5/4 y z - 9/8 y z - 9 x y z + 45/2 x y z + + 2 2 2 2 2 3 2 3 2 + + 81/8 x y z + 18 x y z + 81/8 z y x + 5/4 y z - 45/4 x y z + + 2 3 2 2 2 2 3 + - 9 x y z - 45/4 z y x + 9/4 y z - 9/8 y z + 10 x y z, + + 2 2 2 2 2 3 2 + COEFF(2, -1, 0) = - 9/2 x y z - 27/8 x y z - 27/8 z y x + + 2 2 2 3 2 2 2 3 2 + + 27/4 x y z + 9/4 x y z + 9/4 x y z + 5 x y z + 15/4 z y x + + 2 2 3 2 + - 5/2 x y z - 15/2 x y z - 5/2 x y z + 15/4 x y z, COEFF(-1, 0, 0) = + + 3 2 2 2 2 2 2 2 3 2 + 27/2 x y z + 135/8 x y z + 25 x y z + 45/8 y z + 45/4 z y x + + 2 2 2 3 3 2 2 + + 5/2 z - 75/4 x y z - 25/4 y z - 15 x y z - 27/8 y z - 9/4 z + + 2 2 2 2 2 2 3 + - 27/4 x z - 45/2 x y z + 9 x z + 15/2 x z + 15/4 y z - 10 x z + + 2 3 2 2 2 2 2 + - 81/8 z y x , COEFF(0, 0, 0) = 225/4 x y z + 225/4 x y z + + 2 3 2 3 3 2 2 2 + + 243/8 z y x + 75/2 x y z - 135/4 z y x + 81/4 x z + 25 x z + + 2 3 2 2 2 2 2 2 + - 125/2 x y z - 135/4 x y z - 45/2 x z - 405/8 x y z - 45/2 x z, + + 3 2 2 2 2 3 + COEFF(1, 0, 0) = 27/8 y z + 9/4 z - 81/4 x z - 30 x y z + + 3 2 2 2 2 2 2 2 + + 135/4 z y x - 225/4 x y z + 405/8 x y z - 5/2 z + 18 x z + + 3 2 2 2 3 2 2 2 + + 27 x y z - 20 x z + 50 x y z - 243/8 z y x - 45 x y z + + 2 2 2 3 2 + - 45/8 y z + 45/2 x z - 15/4 y z + 25/4 y z, COEFF(2, 0, 0) = + + 2 2 3 2 2 2 2 2 + 27/4 x z - 45/4 z y x - 15/2 x z + 45/4 x y z - 25/2 x y z + 5 x z + + 2 2 2 2 2 2 3 2 2 3 2 + - 9/2 x z - 135/8 x y z + 75/4 x y z - 27/4 x y z + 81/8 z y x + + 3 3 3 2 + + 15/2 x y z, COEFF(-1, 1, 0) = 15 x y z - 5 x y z + 27/8 y z + + 3 2 2 2 2 2 3 + - 45/4 z y x - 9/8 y z - 9/2 y z + 9/2 x y z - 15/4 y z + + 3 2 2 2 2 2 2 2 + - 27/2 x y z - 27/8 x y z + 18 x y z - 20 x y z + 15/4 x y z + + 2 2 2 2 2 3 2 2 2 + + 5/4 y z - 27/2 x y z + 5 y z + 81/8 z y x + 15 x y z, + + 3 2 2 2 3 2 + COEFF(0, 1, 0) = - 75/2 x y z - 45/4 x y z - 45 x y z + 135/4 z y x + + 2 2 2 3 2 2 2 + + 25/2 x y z - 45 x y z + 50 x y z + 135/4 x y z + 81/8 x y z + + 2 3 2 2 2 2 2 + - 243/8 z y x - 45/4 x y z + 81/2 x y z , COEFF(1, 1, 0) = - 5/4 y z + + 2 2 2 2 2 2 3 2 + - 81/2 x y z + 36 x y z + 9/8 y z + 15/4 y z - 40 x y z + + 2 2 3 2 2 2 3 + + 9/2 y z - 10 x y z - 135/4 z y x - 81/8 x y z + 30 x y z + + 3 2 2 3 2 2 2 2 3 2 + - 27 x y z + 45/4 x y z - 27/8 y z + 45 x y z + 243/8 z y x + + 2 2 2 3 2 3 2 + - 5 y z + 9 x y z , COEFF(2, 1, 0) = - 81/8 z y x + 45/4 z y x + + 3 2 2 2 2 3 2 + + 27/4 x y z + 10 x y z - 15 x y z - 15/2 x y z - 15/4 x y z + + 2 2 2 2 2 2 2 2 + + 27/8 x y z + 27/2 x y z + 5/2 x y z - 9/4 x y z - 9 x y z , + + 2 2 3 2 3 2 2 + COEFF(-1, 2, 0) = - 9/2 x y z + 9/2 x y z - 9/8 y z + 5 x y z + + 3 2 3 2 3 2 2 3 + - 5 x y z - 27/8 z y x + 15/4 z y x - 5/4 y z + 5/4 y z + + 2 2 2 2 2 2 2 2 2 + + 9/8 y z - 15/4 x y z + 27/8 x y z , COEFF(0, 2, 0) = 45/4 x y z + + 2 2 2 3 2 2 2 3 2 + - 81/8 x y z + 25/2 x y z - 25/2 x y z + 45/4 x y z - 45/4 z y x + + 3 2 2 3 2 2 3 2 + - 45/4 x y z + 81/8 z y x , COEFF(1, 2, 0) = - 81/8 z y x + + 3 2 2 2 2 2 2 3 2 2 + + 9 x y z + 81/8 x y z - 9 x y z - 10 x y z - 9/8 y z + + 3 2 2 2 3 2 3 2 + + 9/8 y z - 45/4 x y z - 5/4 y z + 10 x y z + 45/4 z y x + + 2 2 2 2 2 2 2 2 + + 5/4 y z, COEFF(2, 2, 0) = 9/4 x y z - 27/8 x y z + 15/4 x y z + + 3 2 3 2 2 3 2 3 2 + + 5/2 x y z - 5/2 x y z - 15/4 z y x + 27/8 z y x - 9/4 x y z , + + 2 2 2 3 2 3 2 + COEFF(-1, -1, 1) = - 9/8 y z + y z + 9/4 y z - 9/8 y z + y z - 2 y z + + 2 2 2 3 3 2 3 2 3 + + 1/8 y - 1/4 y - 9 x y z + 1/8 y + 3/8 y x + 9/2 x y z - 1/2 x y + + 2 2 2 2 3 2 2 + - 4 x y z + 3 x y z + 8 x y z - 6 x y z - 4 x y z - 3/4 x y + + 2 2 2 2 2 2 2 2 + - 27/8 x y z + 3/8 x y + 9/2 x y z + 27/4 x y z + x y - 1/2 x y + + 2 3 2 3 2 3 2 2 + - 27/8 z y x + 3 z y x , COEFF(0, -1, 1) = -9 z y x - 20 x y z + + 3 2 3 2 2 2 2 + + 10 x y z - 9/8 x y + 10 x y z + 5/4 x y + 18 x y z + 9/4 x y + + 2 2 2 3 2 2 2 2 3 2 + - 5/2 x y + 45/2 x y z - 9/8 y x - 81/4 x y z - 45/4 x y z + + 2 2 3 2 2 2 2 + - 9 x y z + 5/4 x y + 81/8 z y x + 81/8 x y z - 45/4 x y z , + + 2 2 2 3 2 3 2 + COEFF(1, -1, 1) = 9/8 y z - y z - 9/4 y z + 9/8 y z - y z + 2 y z + + 2 2 2 3 3 2 3 2 3 + - 1/8 y + 1/4 y - 18 x y z - 1/8 y + 9/8 y x + 9 x y z - x y + + 2 2 2 2 3 2 2 + - 8 x y z + 9 x y z + 16 x y z - 18 x y z - 8 x y z - 9/4 x y + + 2 2 2 2 2 2 2 2 + - 81/8 x y z + 9/8 x y + 9 x y z + 81/4 x y z + 2 x y - x y + + 2 3 2 3 2 2 2 3 + - 81/8 z y x + 9 z y x , COEFF(2, -1, 1) = 3/4 x y + 2 x y z + + 2 3 2 2 3 2 3 2 3 2 + - 4 x y z - 9/4 x y z + 27/8 z y x - 3 z y x - 3/8 y x + 2 x y z + + 2 2 2 2 2 2 2 2 2 + + 6 x y z - 3 x y z + 27/8 x y z - 3/8 x y - 27/4 x y z + 1/4 x y + + 2 2 3 2 2 + + 9/2 x y z + 1/4 x y - 9/4 x y z - 1/2 x y , COEFF(-1, 0, 1) = x + + 2 2 2 3 2 3 2 + - 6 x z + 8 x z - 45/8 y z + 27/8 y z - 3 y z + 5 y z - 2 z + + 2 2 2 2 2 2 2 2 3 + - 9 x z + 9/4 z + 27/4 x z - 3/4 x + 5/8 y + 45/2 x y z - 3/8 y + + 3 2 3 2 3 2 2 2 3 + - 9/8 y x - 27/2 x y z + 3/2 x y - 20 x y z + 15 x y z + 12 x y z + + 2 2 2 2 2 2 2 3 2 3 2 + + 15/8 x y - 135/8 x y z - 5/2 x y - 1/4 + 81/8 z y x - 9 z y x + + 2 2 3 3 2 + , COEFF(0, 0, 1) = - 5/2 x - 45/8 x y - 15/4 x y + 27 z y x + + 2 2 2 2 2 2 2 2 3 2 + + 405/8 x y z + 25/4 x y + 18 x z - 225/4 x y z - 243/8 z y x + + 2 2 3 3 2 2 2 2 + - 45 x y z - 30 x y z + 135/4 x y z + 9/4 x + 45/2 x z + 50 x y z + + 3 2 2 2 2 + + 27/8 y x - 20 x z - 81/4 x z , COEFF(1, 0, 1) = 2 x - 18 x z + + 2 2 3 2 3 2 2 + + 16 x z + 45/8 y z - 27/8 y z + 3 y z - 5 y z + 2 z - 18 x z + + 2 2 2 2 2 2 2 3 3 2 + - 9/4 z + 81/4 x z - 9/4 x - 5/8 y + 45 x y z + 3/8 y - 27/8 y x + + 3 2 3 2 2 2 3 2 2 + - 27 x y z + 3 x y - 40 x y z + 45 x y z + 24 x y z + 45/8 x y + + 2 2 2 2 2 3 2 3 2 + - 405/8 x y z - 5 x y + 1/4 + 243/8 z y x - 27 z y x , + + 2 2 2 2 2 2 2 + COEFF(2, 0, 1) = 6 x z - 1/2 x + 5/4 x y + 135/8 x y z - 45/4 x y z + + 3 2 3 2 3 2 2 3 2 + - 6 x y z + 10 x y z + 27/4 x y z - 3/4 x y - 15 x y z + 9 z y x + + 3 2 2 3 2 2 2 2 2 + + 9/8 y x - 4 x z - 81/8 z y x - 15/8 x y + 3/4 x + 9/2 x z + + 2 2 2 2 2 3 2 + - 27/4 x z , COEFF(-1, 1, 1) = 9/8 y z - y z + 9/2 y z - 27/8 y z + + 3 2 2 2 2 3 3 2 + + 3 y z - 4 y z - 1/8 y - 1/2 y - 18 x y z + 3/8 y + 9/8 y x + + 3 2 3 2 2 2 2 + + 27/2 x y z - 3/2 x y + 4 x y z - 3 x y z + 16 x y z - 12 x y z + + 3 2 2 2 2 2 2 + - 12 x y z - 3/2 x y + 27/8 x y z - 3/8 x y - 9/2 x y z + + 2 2 2 2 2 3 2 3 2 + + 27/2 x y z + 2 x y + 1/2 x y - 81/8 z y x + 9 z y x , + + 2 2 2 2 2 2 3 2 + COEFF(0, 1, 1) = - 81/8 x y z + 45/4 x y z + 9/2 x y + 243/8 z y x + + 3 2 3 2 2 2 3 2 + - 27 z y x + 30 x y z + 9 x y z + 36 x y z - 27/8 y x + + 2 2 2 2 2 3 2 3 2 + - 81/2 x y z + 45 x y z + 15/4 x y - 5 x y - 135/4 x y z + + 2 2 2 + + 9/8 x y - 40 x y z - 5/4 x y - 10 x y z, COEFF(1, 1, 1) = - 9/8 y z + + 2 2 3 2 3 2 2 + + y z - 9/2 y z + 27/8 y z - 3 y z + 4 y z + 1/8 y + 1/2 y + + 2 2 3 3 2 3 2 3 + - 36 x y z - 3/8 y + 27/8 y x + 27 x y z - 3 x y + 8 x y z + + 2 2 2 2 3 2 2 2 2 + - 9 x y z + 32 x y z - 36 x y z - 24 x y z - 9/2 x y + 81/8 x y z + + 2 2 2 2 2 2 2 3 2 + - 9/8 x y - 9 x y z + 81/2 x y z + 4 x y + x y - 243/8 z y x + + 3 2 2 3 2 2 2 2 + + 27 z y x , COEFF(2, 1, 1) = -x y + 6 x y z + 3/8 x y - 27/2 x y z + + 3 2 2 3 2 2 2 2 2 2 + - 9 z y x + 81/8 z y x + 9/4 x y z - 27/8 x y z + 3/2 x y + + 2 2 2 2 3 2 2 + - 8 x y z + 3 x y z + 12 x y z + 3/4 x y - 2 x y z + 9 x y z + + 3 2 3 2 2 2 + - 9/8 y x - 1/4 x y - 27/4 x y z , COEFF(-1, 2, 1) = 9/2 x y z + + 3 3 2 2 2 2 2 3 2 3 + - 1/8 y - 3/8 y x + 3/8 x y + 3 x y z + 9/8 y z + 1/2 x y + + 3 3 2 2 2 2 2 2 2 + + 4 x y z - 3 z y x - 27/8 x y z + y z - 1/2 x y + 1/8 y + + 2 3 3 2 2 2 2 3 2 + - 4 x y z - y z - 9/2 x y z - 9/8 y z + 27/8 z y x , + + 2 2 2 2 2 2 2 2 + COEFF(0, 2, 1) = 81/8 x y z + 5/4 x y - 9/8 x y - 45/4 x y z + + 2 3 2 3 3 2 2 2 3 2 + - 81/8 z y x - 10 x y z + 45/4 x y z - 9 x y z + 9 z y x + + 3 3 2 2 2 2 2 + - 5/4 x y + 9/8 y x + 10 x y z, COEFF(1, 2, 1) = - 81/8 x y z + + 3 3 2 2 2 3 2 2 2 2 + + y z + 8 x y z + 9 x y z - 8 x y z - 9 x y z + 9 x y z - 1/8 y + + 2 2 3 3 2 3 2 2 2 3 2 + + 9/8 y z + 1/8 y + x y + 81/8 z y x + 9/8 x y - 9/8 y z + + 3 2 2 3 2 2 2 2 2 + - 9/8 y x - x y - 9 z y x - y z, COEFF(2, 2, 1) = 27/8 x y z + + 3 2 2 2 2 2 2 3 2 + - 1/4 x y - 3 x y z - 9/4 x y z + 1/4 x y - 27/8 z y x + + 3 2 2 2 3 2 3 2 3 2 + + 9/4 x y z - 3/8 x y + 3/8 y x + 3 z y x - 2 x y z + 2 x y z, + + 2 2 2 2 + COEFF(-1, -1, 2) = - 1/4 y z + 9/8 x y z + 3/2 x y z + x y z + + 2 2 2 2 3 2 2 2 2 2 + - 9/4 x y z + 9/8 z y x - 3/4 y z - 2 x y z - 3/4 x y z + + 3 2 3 2 3 3 2 2 2 + + 3/8 y z - 3/2 x y z - 1/4 y z + x y z + 3 x y z + 1/2 y z + + 3 2 2 2 2 2 2 + - 3/4 z y x + 3/8 y z - 3/2 x y z , COEFF(0, -1, 2) = 27/4 x y z + + 2 2 2 2 2 3 2 2 3 2 + - 15/2 x y z + 15/4 x y z - 9/2 x y z + 9/4 z y x - 27/8 z y x + + 2 3 2 2 2 2 3 + + 9/4 x y z + 15/4 x y z - 27/8 x y z + 5 x y z - 5/2 x y z + + 2 3 2 2 + - 5/2 x y z, COEFF(1, -1, 2) = - 9/4 x y z + 2 x y z + 9/2 x y z + + 3 2 3 2 2 2 2 2 3 2 + + 1/4 y z + 27/8 z y x + 27/8 x y z + 6 x y z - 9/4 z y x + + 3 2 2 2 2 2 2 2 2 2 + - 3 x y z - 4 x y z - 27/4 x y z - 3 x y z + 3/4 y z - 1/2 y z + + 3 2 2 2 2 2 + + 2 x y z - 3/8 y z - 3/8 y z + 1/4 y z, COEFF(2, -1, 2) = 9/4 x y z + + 2 3 2 3 2 2 2 + + 3/4 x y z + 3/4 x y z + 3/4 z y x - 1/2 x y z - 9/8 x y z + + 2 3 2 3 2 2 2 2 2 + + 3/4 x y z - 1/2 x y z - 9/8 z y x - 3/2 x y z - 3/2 x y z + + 2 3 2 3 2 + + x y z, COEFF(-1, 0, 2) = 1/2 z - 3 x y z - 5/4 y z + 9/2 x y z + + 2 2 2 2 3 2 3 2 3 2 + - 2 x z + 3 x z - 15/4 x y z - 27/8 z y x - 9/8 y z + 9/4 z y x + + 2 2 2 2 2 2 2 2 2 2 + - 9/4 x z + 3/2 x z - 15/2 x y z + 45/8 x y z + 15/8 y z + + 3 2 2 2 2 2 + + 3/4 y z - 3/4 z + 5 x y z, COEFF(0, 0, 2) = - 9/2 x z + 27/4 x z + + 2 3 3 2 2 2 2 + - 25/2 x y z + 15/2 x y z - 27/4 z y x + 45/4 x y z - 15/2 x z + + 2 2 2 3 2 3 2 2 2 2 + + 75/4 x y z + 81/8 z y x - 45/4 x y z + 5 x z - 135/8 x y z , + + 2 2 3 2 2 2 + COEFF(1, 0, 2) = 3/4 z - 1/2 z + 9/2 x z + 27/4 z y x - 15 x y z + + 2 3 2 3 2 2 2 2 3 + - 81/8 z y x + 9 x y z + 10 x y z + 5/4 y z + 6 x z - 3/4 y z + + 3 2 2 2 2 2 2 2 + - 6 x y z - 27/4 x z - 4 x z - 45/4 x y z + 135/8 x y z + + 2 2 3 2 2 3 2 2 2 2 + - 15/8 y z + 9/8 y z , COEFF(2, 0, 2) = 27/8 z y x - 45/8 x y z + + 3 2 2 2 2 2 2 3 2 + - 9/4 z y x + 9/4 x z - 5/2 x y z + 15/4 x y z - 9/4 x y z + x z + + 2 3 2 2 2 + - 3/2 x z + 3/2 x y z + 15/4 x y z - 3/2 x z, COEFF(-1, 1, 2) = + + 2 3 2 2 2 3 2 2 2 2 3 2 + 27/8 z y x + 6 x y z - 9/4 z y x + y z + 3 x y z + 9/8 y z + + 3 2 2 2 3 2 + + 3 x y z + 1/4 y z - x y z - 4 x y z - 9/8 x y z - 9/2 x y z + + 2 3 2 2 2 2 2 2 2 + + 3/4 x y z - 3/4 y z - 9/2 x y z - 3/2 y z + 3/2 x y z - 3/8 y z + + 2 2 2 2 + , COEFF(0, 1, 2) = 27/8 x y z - 15/4 x y z + 5/2 x y z + 10 x y z + + 2 2 2 3 2 2 2 2 2 2 + + 27/2 x y z + 45/4 x y z - 9 x y z - 15 x y z - 9/4 x y z + + 3 3 2 2 3 2 3 + - 15/2 x y z + 27/4 z y x - 81/8 z y x , COEFF(1, 1, 2) = 6 x y z + + 2 2 2 2 2 + + 9/4 x y z - 1/4 y z + 9 x y z + 3 x y z - 2 x y z - 8 x y z + + 3 2 3 2 2 2 2 2 2 2 3 2 + - 9/8 y z - 27/4 z y x - 27/8 x y z - 27/2 x y z + 81/8 z y x + + 3 2 2 3 2 2 2 2 2 + + 3/4 y z + 12 x y z - 9 x y z + 3/2 y z + 3/8 y z - y z, + + 3 2 3 2 + COEFF(2, 1, 2) = 1/2 x y z + 9/4 x y z - 3/2 x y z - 3/4 x y z + + 2 3 2 2 2 2 2 2 2 + - 27/8 z y x - 3 x y z - 3/4 x y z - 3 x y z + 2 x y z + + 2 2 2 2 2 3 2 2 + + 9/8 x y z + 9/2 x y z + 9/4 z y x , COEFF(-1, 2, 2) = - 1/4 y z + + 2 2 2 3 2 3 2 3 2 2 + - 3/4 x y z - 9/8 z y x - 3/8 y z - x y z - 3/2 x y z + + 3 2 3 3 2 2 2 2 2 2 2 + + 3/2 x y z + 1/4 y z + 3/4 z y x + 9/8 x y z + x y z + 3/8 y z + + 3 2 2 2 3 2 + , COEFF(0, 2, 2) = - 15/4 x y z + 9/4 x y z - 9/4 z y x + + 2 2 2 2 2 2 2 3 2 3 + + 15/4 x y z - 27/8 x y z - 5/2 x y z + 27/8 z y x + 5/2 x y z, + + 3 2 2 2 3 2 2 2 2 + COEFF(1, 2, 2) = 3/8 y z + 1/4 y z - 27/8 z y x + 27/8 x y z + + 3 2 2 2 2 3 2 2 2 2 + + 9/4 z y x + 2 x y z - 3/8 y z - 2 x y z - 3 x y z - 9/4 x y z + + 3 2 3 3 3 2 + + 3 x y z - 1/4 y z, COEFF(2, 2, 2) = 1/2 x y z - 3/4 z y x + + 3 2 2 2 3 2 2 2 2 2 2 + - 3/4 x y z - 1/2 x y z + 9/8 z y x + 3/4 x y z - 9/8 x y z + + 2 2 + + 3/4 x y z] + +> print_coeff__lc_of_data(%, "coeff_dxz_", "fp", +> "3d.coeffs/3d.cube.order2/coeff-dxz.compute.c"); +bytes used=2161717816, alloc=8976788, time=313.67 +bytes used=2162717944, alloc=8976788, time=313.75 +bytes used=2163718484, alloc=8976788, time=313.84 +bytes used=2164718844, alloc=8976788, time=313.92 +bytes used=2165718964, alloc=8976788, time=314.00 +bytes used=2166719128, alloc=8976788, time=314.11 +bytes used=2167719276, alloc=8976788, time=314.29 +bytes used=2168719520, alloc=8976788, time=314.39 +bytes used=2169719796, alloc=8976788, time=314.48 +bytes used=2170719972, alloc=8976788, time=314.58 +bytes used=2171720092, alloc=8976788, time=314.69 +bytes used=2172817212, alloc=8976788, time=314.77 +bytes used=2173842872, alloc=8976788, time=314.85 +bytes used=2174862332, alloc=8976788, time=314.93 +bytes used=2175877436, 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alloc=8976788, time=378.68 +bytes used=2451827544, alloc=8976788, time=378.80 +bytes used=2452827672, alloc=8976788, time=378.95 +bytes used=2453827808, alloc=8976788, time=379.12 +> +# d^2/dy^2 +> simplify( diff(interp_3d_cube_order2,y,y) ); +bytes used=2454848612, alloc=8976788, time=379.22 +bytes used=2455848928, alloc=8976788, time=379.31 +bytes used=2456849124, alloc=8976788, time=379.38 +bytes used=2457849408, alloc=8976788, time=379.46 +bytes used=2458849592, alloc=8976788, time=379.55 +bytes used=2459849748, alloc=8976788, time=379.64 +bytes used=2460849956, alloc=8976788, time=379.72 +bytes used=2461850124, alloc=8976788, time=379.81 +bytes used=2462850280, alloc=8976788, time=379.90 +bytes used=2463850416, alloc=8976788, time=379.99 +bytes used=2464850552, alloc=8976788, time=380.07 +- 9/2 y z DATA(0, 1, 1) - 5 DATA(0, 0, 0) + 4 DATA(0, 1, 0) + + 2 2 + + 15/2 x y DATA(0, -1, 0) - 15/2 x y DATA(0, 2, 0) + + 2 2 2 + + 9 x y DATA(-1, 0, 0) + 3 x y DATA(-1, 2, 0) + 6 x y DATA(1, 2, 0) + + 2 2 2 + - 3/2 x y DATA(2, 2, 0) - 9 x y DATA(-1, 1, 0) + 9/2 x y DATA(2, 1, 0) + + 2 2 2 + + 3/2 x y DATA(2, -1, 0) - 5 x z DATA(1, 0, 1) + 25/4 x z DATA(1, 0, 0) + + 2 2 + + 5/4 x z DATA(1, 0, 2) - 5/4 x z DATA(-1, 0, 2) + + 2 2 + - 25/4 x z DATA(-1, 0, 0) - 5/2 x z DATA(1, 0, -1) + + 2 2 2 + + 5 x z DATA(-1, 0, 1) + 5/2 x z DATA(-1, 0, -1) - 6 x y DATA(1, -1, 0) + + 2 + + 5/4 x z DATA(1, 0, -1) - 18 x y DATA(1, 1, 0) - 5/4 x z DATA(-1, 0, -1) + + 2 2 + + 5/4 x z DATA(-1, 0, 1) + 5 x z DATA(1, 0, 2) + + 2 2 2 2 + + 5/2 x z DATA(-1, 0, 2) + 25/2 x z DATA(-1, 0, 0) + + 2 2 + - 10 x z DATA(1, 0, -1) - 5/4 x z DATA(1, 0, 1) + + 2 2 2 2 + - 25/4 x z DATA(0, 0, 2) + 25 x z DATA(1, 0, 0) + + 2 2 2 2 + + 25 x z DATA(0, 0, 1) + 25/2 x z DATA(0, 0, -1) + + 2 2 2 2 + + 5 x z DATA(2, 0, 1) + 5/2 x z DATA(2, 0, -1) + + 2 2 2 2 + - 10 x z DATA(-1, 0, 1) - 125/4 x z DATA(0, 0, 0) + + 2 2 2 + - 25/4 x z DATA(2, 0, 0) + 18 x y DATA(1, 0, 0) + + 2 2 2 + - 20 x z DATA(1, 0, 1) + 45/2 x y 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DATA(2, -1, 2) + 5/4 x z DATA(1, 2, 0) + + 2 2 2 2 2 + - 5/4 x z DATA(-1, 2, 0) + 1/2 x z DATA(-1, 2, 2) + x z DATA(2, 1, 2) + + 2 2 2 2 + - 2 x z DATA(-1, 1, 2) - 1/4 x z DATA(2, 2, 2) + + 2 2 2 2 + - 2 x z DATA(-1, 1, -1) + x z DATA(1, -1, -1) + x z DATA(1, 2, 2) + + 3 2 2 + - 3/4 z x DATA(0, 2, 1) - 5/2 x z DATA(1, -1, 0) + 4 x z DATA(1, 1, 1) + + 2 2 + + 1/2 x z DATA(-1, 2, -1) + 2 x z DATA(1, -1, 1) + + 2 2 2 + - 1/2 x z DATA(1, -1, 2) - x z DATA(1, 1, 2) + 1/2 x z DATA(-1, -1, 2) + + 2 2 2 + + 1/4 x z DATA(1, 2, 2) + x z DATA(-1, 1, 2) - 1/4 x z DATA(-1, 2, 2) + + 2 2 2 + - x z DATA(1, 2, 1) + x z DATA(-1, 2, 1) + 2 x z DATA(1, 1, -1) + + 2 3 3 + - 1/2 x z DATA(1, 2, -1) - 3/2 z x DATA(1, -1, 1) + z x DATA(-1, 1, -1) + + 3 3 + + 3/2 z x DATA(1, -1, -1) - z x DATA(-1, 1, 1) + + 3 3 + + 1/2 z x DATA(-1, -1, -1) - 1/2 z x DATA(-1, -1, 1) - DATA(0, 2, 0) + + 2 2 + + 2 DATA(0, -1, 0) - 4 x z DATA(-1, 1, 1) - x z DATA(-1, -1, -1) + + 2 3 + - 2 x z DATA(-1, -1, 1) - 5/4 z x DATA(-1, 0, -1) + + 3 3 + + 5/4 z x DATA(-1, 0, 1) - 1/4 z x DATA(-1, 2, -1) + + 3 3 + - 3 z x DATA(0, 1, -1) + 15/4 z x DATA(0, 0, -1) + + 3 3 3 + + 15/4 z x DATA(1, 0, 1) - 3 z x DATA(1, 1, 1) + 3/2 z x DATA(0, -1, 1) + + 3 3 + + 3/4 z x DATA(0, 2, -1) + 3 z x DATA(0, 1, 1) + + 3 3 + - 3/2 z x DATA(0, -1, -1) - 15/4 z x DATA(0, 0, 1) + + 2 2 3 + - 5/4 x z DATA(0, 2, -1) + 5 x z DATA(0, 1, -1) + 3 z x DATA(1, 1, -1) + + 3 3 + + 1/2 z x DATA(2, -1, 1) + 1/4 z x DATA(2, 2, -1) + + 3 3 + - 1/4 z x DATA(2, 2, 1) - 1/2 z x DATA(2, -1, -1) + + 3 3 3 + + 1/4 z x DATA(-1, 2, 1) - z x DATA(2, 1, -1) + z x DATA(2, 1, 1) + + 3 3 + - 5/4 z x DATA(2, 0, 1) - 15/4 z x DATA(1, 0, -1) + + 3 2 2 + + 5/4 z x DATA(2, 0, -1) + x z DATA(1, 2, -1) - x z DATA(1, 2, 1) + + 3 3 2 + - 3/4 z x DATA(1, 2, -1) + 3/4 z x DATA(1, 2, 1) + x z DATA(-1, -1, 1) + + 2 2 2 + + 2 x z DATA(-1, 1, 1) - x z DATA(-1, -1, -1) + 1/2 x z DATA(-1, 2, -1) + + 2 2 2 + + 2 x z DATA(1, -1, 1) - 2 x z DATA(-1, 1, -1) - 2 x z DATA(1, -1, -1) + + 2 2 2 + + 4 x z DATA(1, 1, 1) + 1/2 x z DATA(2, -1, -1) + 1/4 x z DATA(2, 2, 1) + + 2 2 2 + - 1/2 x z DATA(2, -1, 1) - 1/4 x z DATA(2, 2, -1) + x z DATA(2, 1, -1) + + 2 2 2 + - x z DATA(2, 1, 1) - 4 x z DATA(1, 1, -1) - 1/2 x z DATA(-1, 2, 1) + + 3 3 + + 1/2 x z DATA(-1, -1, -1) + 3/2 x z DATA(-1, -1, 1) + + 3 2 + + 3 x z DATA(-1, 1, 1) - 5 x z DATA(1, 1, 0) + +> coeff_as_lc_of_data(%, posn_list_3d_size4); +bytes used=2465851016, alloc=8976788, time=380.16 +bytes used=2466851172, alloc=8976788, time=380.24 +bytes used=2467985948, alloc=8976788, time=380.34 +bytes used=2468986276, alloc=8976788, time=380.43 +bytes used=2470010964, alloc=8976788, time=380.52 +bytes used=2471024164, alloc=8976788, time=380.62 +bytes used=2472024368, alloc=8976788, time=380.71 +bytes used=2473026132, alloc=8976788, time=380.81 +bytes used=2474030728, alloc=8976788, time=380.91 +bytes used=2475065764, alloc=8976788, time=381.01 +bytes used=2476067668, alloc=8976788, time=381.12 +bytes used=2477083604, alloc=8976788, time=381.19 +bytes used=2478091864, alloc=8976788, time=381.25 + 2 2 2 2 +[COEFF(-1, -1, -1) = 2 x z + 3/2 x y z + 1/2 x z - x z - 3/4 x y z + + 3 2 3 3 2 3 3 2 2 3 3 + + 1/2 x z - x z + 1/2 z x + 3/2 z y x - z x - z x - 3/4 x y z + + 2 2 2 3 2 3 3 3 + + 3/2 x y z - 3 x y z + 3/2 z y x - 3/4 z y x - 3/4 z y x + + 3 3 3 2 3 3 + + 1/2 z x , COEFF(0, -1, -1) = -z + 3/2 y z + 5/2 z x + 9/4 z y x + + 2 3 3 3 2 3 3 + - 9/2 z y x - 3/2 z x + 3/2 y z - z - 15/4 x y z - 3/2 z x + + 2 2 2 3 2 2 3 2 2 3 + - 5 x z + 3 z x + 2 z - 3 y z - 15/4 z y x + 5/2 x z + 9/4 z y x + + 2 2 3 2 3 3 3 + + 15/2 x y z , COEFF(1, -1, -1) = -2 z x + 3/2 z x - 1/2 x z + + 3 3 3 2 3 2 2 2 + - 9/4 z y x - 9/4 z y x + x z + 3/4 x y z - 3/2 x y z + 4 x z + + 2 2 2 3 3 2 + - 6 x y z + 9/2 z y x - 1/2 x z + 3/2 z x - 2 x z + 3/4 x y z + + 2 2 3 3 2 2 3 + + 3 x y z - 3 z x + 3 z y x , COEFF(2, -1, -1) = 1/2 x z + 3/4 z y x + + 2 3 2 3 2 2 2 3 3 3 + - 3/2 z y x - 3/4 x y z + 1/2 z x - x z + 3/4 z y x - 1/2 z x + + 2 3 3 2 2 2 3 3 + + z x - 3/4 z y x + 3/2 x y z - 1/2 z x , COEFF(-1, 0, -1) = + + 3 3 2 2 3 3 3 3 3 + - 5/4 z x + 5/2 x z + 5/2 z x + 9/4 z y x - 5/4 z x + 9/4 z y x + + 2 2 2 2 3 3 2 + - 9/2 x y z - 5 x z - 5/4 x z - 9/2 x y z + 9/4 x y z + 5/2 z x + + 2 2 2 3 2 3 2 3 + + 5/2 x z + 9 x y z - 9/2 z y x + 9/4 x y z - 5/4 x z - 9/2 z y x , + + 2 2 2 2 3 2 + COEFF(0, 0, -1) = 25/2 x z - 45/2 x y z + 45/4 z y x + 5/2 z + + 3 3 3 2 2 3 3 3 + - 27/4 z y x - 27/4 z y x - 5 z - 25/4 x z + 15/4 z x + 5/2 z + + 2 3 2 3 2 3 3 + + 27/2 z y x + 45/4 x y z - 9/2 y z - 25/4 z x + 15/4 z x - 9/2 y z + + 2 3 2 3 2 + - 15/2 z x + 9 y z , COEFF(1, 0, -1) = - 15/4 z x - 9 x y z + + 2 2 3 3 3 3 2 3 + + 18 x y z - 15/4 z x + 27/4 z y x - 9/4 x y z - 27/2 z y x + + 3 2 2 2 2 2 2 + + 5 z x + 9/2 x y z - 9/4 x y z - 10 x z - 5/2 x z + 5 x z + + 3 3 3 2 3 3 2 + + 5/4 x z + 27/4 z y x + 15/2 z x - 9 z y x + 5/4 x z, + + 3 2 2 3 3 3 3 + COEFF(2, 0, -1) = - 5/4 z x + 9/2 z y x - 9/4 z y x + 5/4 z x + + 2 2 2 2 3 3 2 2 2 + + 9/4 x y z + 5/2 x z - 5/2 z x + 9/4 z y x - 9/2 x y z + + 3 3 2 3 3 + + 5/4 z x - 5/4 x z - 9/4 z y x , COEFF(-1, 1, -1) = - 9/4 z y x + + 2 2 2 3 3 3 3 3 3 + + 4 x z - 2 x z - 9/4 z y x + z x + z x + x z - 9/4 x y z + + 2 3 3 2 2 2 3 2 2 + + 9/2 z y x + 9/2 z y x + x z - 9 x y z - 2 z x + 9/2 x y z + + 2 2 2 3 3 2 + + 9/2 x y z - 2 x z - 2 z x - 9/4 x y z , COEFF(0, 1, -1) = 4 z + + 2 2 3 2 3 3 3 3 + + 9/2 y z - 2 z + 45/2 x y z + 5 z x - 3 z x - 3 z x - 2 z + + 3 3 2 3 3 2 3 2 2 + + 27/4 z y x + 6 z x - 45/4 z y x + 9/2 y z + 5 x z - 9 y z + + 2 2 2 3 3 2 + - 10 x z - 27/2 z y x + 27/4 z y x - 45/4 x y z, COEFF(1, 1, -1) = + + 3 2 2 2 2 3 2 3 + 9 z y x + 2 x z + 9/4 x y z - 18 x y z + 3 z x - 4 x z - 27/4 z y x + + 3 2 2 3 3 3 3 2 3 3 + + 9/4 x y z + 9 x y z + 27/2 z y x - 27/4 z y x - 4 z x + 3 z x + + 2 2 3 2 2 3 + + 8 x z - x z - x z - 9/2 x y z - 6 z x , COEFF(2, 1, -1) = + + 2 2 3 3 3 3 3 3 2 2 + - 9/4 x y z + x z + 9/4 z y x + 9/4 z y x - z x - z x + 9/2 x y z + + 3 2 2 2 3 2 2 3 2 3 + + z x - 2 x z - 9/4 z y x + 2 z x - 9/2 z y x , COEFF(-1, 2, -1) + + 2 3 3 2 2 3 3 3 2 + = - 3/2 x y z + 3/4 z y x - x z - 1/4 z x + 1/2 z x + 3/4 x y z + + 3 3 2 3 2 2 2 3 + + 3/4 z y x - 3/2 z y x - 1/4 x z + 3 x y z + 1/2 x z - 1/4 z x + + 2 3 2 2 3 2 3 + - 1/4 x z - 3/2 z y x - 3/2 x y z + 1/2 z x + 1/2 x z + 3/4 x y z , + + 3 3 2 2 2 2 3 + COEFF(0, 2, -1) = - 9/4 z y x + 5/2 x z + 15/4 x y z - 3/2 z x + + 3 3 2 2 3 3 2 3 + - 3/2 y z - 5/4 z x - 5/4 x z + 3/4 z x + 3 y z + 3/4 z x + + 2 2 3 3 3 2 2 + - 15/2 x y z + 1/2 z - 9/4 z y x + 15/4 z y x - 3/2 y z + 1/2 z - z + + 2 3 3 3 3 2 + + 9/2 z y x , COEFF(1, 2, -1) = 9/4 z y x - 3/4 z x - 3/4 x y z + z x + + 2 3 2 3 2 3 3 + - 9/2 z y x + 3/2 z x + 1/4 x z + 3/2 x y z - 3/4 x y z + 1/4 x z + + 2 2 2 3 3 3 2 2 3 3 + - 2 x z - 3 x y z - 3/4 z x - 3 z y x - 1/2 x z + 9/4 z y x + + 2 2 2 2 2 2 3 + + x z + 6 x y z , COEFF(2, 2, -1) = 3/4 x y z - 3/2 x y z + 1/4 z x + + 3 3 3 3 3 2 3 2 2 2 + + 1/4 z x - 3/4 z y x - 1/4 z x + 3/4 z y x + 1/2 x z + + 2 3 3 2 2 3 + + 3/2 z y x - 3/4 z y x - 1/4 x z - 1/2 z x , COEFF(-1, -1, 0) = + + 3 3 3 3 3 2 3 3 + 3/2 y x - x + 9/4 x y z - x - 3/2 x z + 3 z x - 3/2 z x + + 2 2 2 3 2 2 3 2 + - 15/4 x y z - 3 x y + 5/2 z x + 5/2 x z + 2 x - 9/2 z y x + + 2 2 3 3 2 2 2 3 + - 5 x z + 9/4 z y x + 3/2 x y + 15/2 x y z - 15/4 z y x , + + 2 3 2 3 3 2 + COEFF(0, -1, 0) = -3 y + 15/2 y z + 45/4 z y x + 3 z - 15/2 z x + + 3 2 2 3 2 2 2 3 3 3 + + 3 x + 25/2 x z - 9/2 y z - 5 z - 5 x + 45/4 z y x - 27/4 z y x + + 3 3 3 2 3 2 2 2 + + 9/2 z x - 9/2 y x + 2 - 15/2 z x - 75/4 x y z + 15/2 x y, + + 2 3 3 3 2 2 2 + COEFF(1, -1, 0) = - 45/4 z y x + 9/2 y x - 3 x - 10 x z - 5/2 x z + + 3 3 2 3 3 2 3 3 + - 9/2 z x - 6 x y + 3/2 x z + 6 z x - 3/2 x y + 27/4 z y x + + 2 3 2 3 2 3 2 + + 15/2 z x + 15/4 x y z - 9 z y x + x - 9/4 x y z + 4 x + + 2 2 2 3 2 2 2 + + 15 x y z , COEFF(2, -1, 0) = 3/2 x y - 3/2 z x + 5/2 x z + + 3 2 3 3 2 3 2 3 2 2 + + 9/4 z y x - 9/4 z y x - x + x - 5/2 z x - 15/4 x y z + + 3 3 2 3 3 3 2 + + 3/2 z x + 15/4 z y x - 3/2 y x , COEFF(-1, 0, 0) = 27/2 z y x + + 2 2 3 2 2 3 + - 45/2 x y z - 9/2 x y - 9/2 y x - 25/4 x z + 45/4 x y z + 5/2 x + + 3 3 3 3 2 2 3 2 + + 15/4 x z - 27/4 z y x - 15/2 z x + 5/2 x - 25/4 z x + 9 x y + + 2 2 3 3 3 2 2 3 + - 5 x + 45/4 z y x + 15/4 z x + 25/2 x z - 27/4 x y z , + + 2 2 2 3 2 3 + COEFF(0, 0, 0) = 225/4 x y z + 9 y - 135/4 z y x + 25/2 x - 15/2 x + + 3 2 3 2 2 2 + + 27/2 y x - 45/2 y z - 5 + 27/2 y z - 45/2 x y - 125/4 x z + + 2 3 3 3 3 2 2 3 + + 25/2 z - 15/2 z + 81/4 z y x - 135/4 z y x + 75/4 z x + + 3 2 3 3 3 2 2 2 + + 75/4 z x - 45/4 z x , COEFF(1, 0, 0) = -15 z x - 45 x y z + + 2 3 2 2 2 3 2 + + 25/4 x z - 27/2 y x + 25 x z - 75/4 z x - 45/4 x y z + + 3 3 3 3 2 3 3 + - 81/4 z y x + 45/4 z x + 18 x y + 9/2 x y + 27/4 x y z + 15/2 x + + 2 3 2 3 2 3 + + 135/4 z y x - 10 x + 27 z y x - 5/2 x - 15/4 x z , COEFF(2, 0, 0) + + 3 3 3 2 2 3 2 3 3 + = - 15/4 z x + 15/4 z x - 45/4 z y x + 5/2 x + 9/2 y x - 5/2 x + + 2 2 2 2 2 3 3 3 2 + - 25/4 x z - 9/2 x y + 45/4 x y z + 27/4 z y x - 27/4 z y x + + 2 3 3 2 2 3 3 2 + + 25/4 z x , COEFF(-1, 1, 0) = - 27/2 z y x + 4 x - 2 x + 6 z x + + 2 2 2 3 3 2 2 2 3 + + 45/2 x y z - 45/4 z y x + 9/2 y x - 9 x y + 5 x z + 5 z x - 2 x + + 2 3 3 3 3 2 2 3 3 + - 45/4 x y z + 27/4 z y x - 3 z x - 10 x z - 3 x z + 27/4 x y z + + 3 2 2 2 + + 9/2 x y, COEFF(0, 1, 0) = - 27/2 y x - 9 y - 10 x + 25 x z + + 2 3 3 2 2 2 3 3 + + 45/2 y z + 9 z x + 45/2 x y + 4 - 10 z - 15 z x - 27/2 y z + + 3 3 3 3 3 2 2 3 3 2 + + 6 z - 81/4 z y x + 6 x + 135/4 z y x + 135/4 z y x - 15 z x + + 2 2 2 2 3 2 3 2 + - 225/4 x y z , COEFF(1, 1, 0) = 8 x - 135/4 z y x + 15 z x - 5 x z + + 2 3 3 2 2 3 2 3 + - 18 x y + 81/4 z y x - 9/2 x y - 20 x z - 27 z y x - 6 x + 2 x + + 2 2 3 3 3 3 3 2 3 + + 45 x y z + 27/2 y x - 9 z x + 3 x z + 12 z x - 27/4 x y z + + 2 2 2 3 2 3 2 + + 45/4 x y z , COEFF(2, 1, 0) = 5 x z + 27/4 z y x - 3 z x + + 3 2 2 2 3 2 3 3 3 + - 9/2 y x - 45/4 x y z + 45/4 z y x - 2 x - 27/4 z y x + 2 x + + 2 3 3 2 3 2 + + 9/2 x y + 3 z x - 5 z x , COEFF(-1, 2, 0) = 15/4 x y z + + 3 3 3 2 3 2 2 2 3 + - 9/4 z y x + 3/4 x z + 1/2 x - 5/4 z x - x + 5/2 x z - 3/2 y x + + 3 3 2 3 2 2 3 2 + + 3/4 z x - 5/4 x z - 3/2 z x + 15/4 z y x + 3 x y - 3/2 x y + + 3 3 2 2 3 2 + + 1/2 x - 9/4 x y z - 15/2 x y z + 9/2 z y x , COEFF(0, 2, 0) = + + 3 2 2 3 3 2 3 2 3 + 9/2 y z + 75/4 x y z + 9/2 y x + 15/4 z x - 45/4 z y x - 3/2 z + + 2 3 2 2 2 2 3 3 3 + - 45/4 z y x + 5/2 z + 5/2 x - 1 - 15/2 y z + 15/4 z x - 9/4 z x + + 3 2 2 2 3 3 + - 3/2 x - 25/4 x z - 15/2 x y + 27/4 z y x + 3 y, COEFF(1, 2, 0) = + + 3 2 3 2 2 3 2 2 3 + 9 z y x - 1/2 x - 9/2 y x + 6 x y - 15/4 z x + 5 x z + 3/2 x + + 3 2 3 3 3 3 2 2 + - 3 z x - 3/4 x z + 9/4 x y z + 9/4 z x - 15 x y z + 3/2 x y + + 3 3 2 2 2 2 3 + - 27/4 z y x + 5/4 x z - 15/4 x y z - 2 x + 45/4 z y x , + + 3 3 3 3 2 3 2 3 + COEFF(2, 2, 0) = - 3/4 z x + 9/4 z y x - 3/2 x y + 3/4 z x - 1/2 x + + 2 3 2 3 3 2 2 2 2 2 + + 5/4 z x - 15/4 z y x + 3/2 y x - 5/4 x z + 15/4 x y z + 1/2 x + + 3 2 3 3 3 2 2 + - 9/4 z y x , COEFF(-1, -1, 1) = - 9/4 z y x + 9/2 z y x + x z + + 3 2 2 2 2 3 2 3 + + 3/4 z y x - 6 x y z - 3/2 x y z + 3 z y x + 3/4 x y z - 2 z x + + 2 3 3 3 3 2 + + 3 x y z + 3/2 z x - 1/2 x z - 1/2 z x - 9/4 x y z - 2 x z + + 3 3 2 2 2 2 3 2 2 + + 3/2 x z - 3 z x + 4 x z , COEFF(0, -1, 1) = 6 z x - 10 x z + + 3 2 2 2 3 3 2 2 3 2 + + 15/2 z x + 15 x y z + 27/4 z y x + 4 z - 9 z y x - 5/2 x z + + 3 3 3 2 3 2 3 3 + - 9/2 z x + 9/2 y z - 6 y z + z - 45/4 z y x + 3/2 z x - 9/4 z y x + + 2 3 2 + - 3/2 y z + 15/4 x y z - 3 z , COEFF(1, -1, 1) = -3 x y z - 3/4 x y z + + 3 2 2 2 3 3 2 + - 3/2 x z + 2 x z + 1/2 x z + 8 x z + 9/4 z y x + 9 z y x + + 2 2 3 3 2 2 2 3 3 3 3 + - 3 x y z - 6 z x - 6 z x - 12 x y z + 9/2 z x - 27/4 z y x + + 2 3 3 2 3 2 2 + + 2 x z - 3/2 z x + 9/4 x y z + 9 z y x , COEFF(2, -1, 1) = 3 x y z + + 2 3 3 2 2 3 3 2 + - 1/2 x z - 3/4 z y x + 1/2 z x + 3/4 x y z - 3 z y x - 9/4 z y x + + 2 2 2 3 3 2 3 3 3 3 + - 2 x z + 2 z x + 3/2 z x - 3/2 z x + 9/4 z y x , COEFF(-1, 0, 1) + + 2 3 3 2 2 2 2 3 + = 5/4 x z + 5 z x + 15/2 z x + 5 x z - 5/2 x z - 9 z y x + + 2 2 2 2 3 3 3 2 + - 10 x z - 9/4 x y z + 18 x y z - 15/4 z x + 27/4 x y z - 9 x y z + + 3 3 3 2 3 3 3 + + 27/4 z y x - 27/2 z y x - 9/4 z y x + 5/4 z x - 15/4 x z + + 2 3 3 3 2 + + 9/2 x y z, COEFF(0, 0, 1) = - 81/4 z y x + 27/4 z y x - 45/4 x y z + + 2 2 2 2 3 2 3 3 2 2 + - 45 x y z + 25 x z + 15/2 z + 27 z y x + 135/4 z y x + 25/4 x z + + 2 3 2 3 3 2 3 3 + - 15 z x + 18 y z - 27/2 y z - 5/2 z - 75/4 z x + 45/4 z x + + 3 2 2 2 2 + - 15/4 z x + 9/2 y z - 10 z , COEFF(1, 0, 1) = -20 x z + 9 x y z + + 2 3 2 2 3 2 3 3 3 + - 27 z y x + 36 x y z + 15 z x + 15/4 x z + 81/4 z y x + + 3 3 2 2 3 3 2 + - 27/4 z y x - 27 z y x - 5 x z + 9/4 x y z - 45/4 z x - 5 x z + + 2 3 3 2 3 + - 5/4 x z + 15 z x - 27/4 x y z + 9 x y z + 15/4 z x , COEFF(2, 0, 1) + + 2 3 3 2 3 3 2 2 2 3 3 + = 9 z y x + 27/4 z y x - 27/4 z y x + 5 x z - 5 z x - 5/4 z x + + 3 3 3 2 2 3 2 2 2 + + 15/4 z x - 15/4 z x - 9/4 x y z + 9/4 z y x + 5/4 x z - 9 x y z + + 2 2 3 3 2 2 2 + , COEFF(-1, 1, 1) = 2 x z - 4 z x - z x - 18 x y z - 9/2 x y z + + 2 2 3 3 3 2 2 3 3 2 + + 8 x z + 3 z x - x z - 6 z x + 9 z y x - 27/4 x y z + 9 x y z + + 2 3 3 3 2 3 3 + + 9/4 x y z - 4 x z - 27/4 z y x + 27/2 z y x + 9/4 z y x + 3 x z , + + 2 3 3 3 3 2 3 + COEFF(0, 1, 1) = 8 z + 27/2 y z - 9 z x + 15 z x - 27/4 z y x + + 3 2 3 3 3 3 2 2 + - 135/4 z y x - 6 z + 81/4 z y x + 3 z x + 2 z - 20 x z + + 2 2 2 3 2 3 2 2 2 + + 45/4 x y z - 18 y z - 27 z y x + 12 z x + 45 x y z - 5 x z + + 3 2 2 3 + - 9/2 y z, COEFF(1, 1, 1) = 27 z y x - 9 x y z + 27/4 z y x + x z + + 3 2 3 3 2 2 2 2 2 + - 3 x z - 12 z x + 27/4 x y z + 4 x z + 16 x z - 36 x y z + + 3 3 2 3 3 2 3 2 + - 3 z x - 12 z x + 9 z x + 27 z y x + 4 x z - 9/4 x y z + + 3 3 2 3 3 2 3 + - 81/4 z y x - 9 x y z, COEFF(2, 1, 1) = -3 z x - x z - 9/4 z y x + + 2 2 3 3 2 2 3 3 2 2 + - 4 x z + z x - 27/4 z y x + 4 z x + 3 z x + 9/4 x y z + + 2 2 2 3 3 3 3 + + 9 x y z - 9 z y x + 27/4 z y x , COEFF(-1, 2, 1) = - 3/4 z y x + + 3 2 3 2 2 2 3 2 + - 9/2 z y x - 3/4 x z + 6 x y z + z x - 3 x y z + 1/4 x z + + 2 2 3 3 3 3 3 2 + - 1/2 x z + x z - 3/4 z x + 9/4 z y x + 3/2 z x - 3/4 x y z + + 2 2 2 3 3 2 3 + - 2 x z - 3 z y x + 9/4 x y z + 3/2 x y z + 1/4 z x , COEFF(0, 2, 1) + + 3 2 2 3 2 3 3 2 2 3 + = - 3/4 z x - 15 x y z + 3/2 z - 3 z x - 15/4 z x + 9 z y x + + 3 2 3 3 2 2 3 3 + + 45/4 z y x + 9/4 z x - 1/2 z - 15/4 x y z + 6 y z - 27/4 z y x + + 2 2 2 3 2 3 + + 5 x z - 2 z - 9/2 y z + 5/4 x z + 9/4 z y x + 3/2 y z, + + 3 2 3 3 2 3 + COEFF(1, 2, 1) = -9 z y x + 27/4 z y x + 3 x y z - 9/4 x y z + + 3 3 2 3 2 2 2 2 2 2 + - 9/4 z x + 3 z x + 3 x y z - x z - 4 x z + 12 x y z - 1/4 x z + + 3 2 2 3 3 2 3 + + 3 z x - x z + 3/4 z x + 3/4 x z + 3/4 x y z - 9 z y x + + 3 2 3 2 2 2 2 + - 9/4 z y x , COEFF(2, 2, 1) = -z x + x z - 3/4 x y z + 1/4 x z + + 3 2 3 2 2 3 3 3 + - 1/4 z x + 3 z y x - 3 x y z - 9/4 z y x + 3/4 z y x + + 3 2 3 2 3 3 3 + + 9/4 z y x - 3/4 z x + 3/4 z x , COEFF(-1, -1, 2) = - 1/2 x z + + 2 3 2 2 3 2 2 3 3 3 + + 1/2 z x + 3/2 x y z + z x - 3/4 x y z - 1/2 z x + 3/4 x y z + + 3 2 2 2 3 3 3 2 2 + - 3/2 z y x + 1/2 x z - 3/4 z y x + 3/4 z y x - x z , + + 2 3 3 3 3 2 2 2 + COEFF(0, -1, 2) = 9/4 z y x + 3/2 z x + 15/4 z y x - 15/4 x y z + + 2 2 2 3 3 2 3 2 3 3 + + 5/2 x z - z - 9/4 z y x + 3/2 y z + z - 3/2 z x - 3/2 y z + + 3 2 3 2 2 3 + - 5/2 z x , COEFF(1, -1, 2) = - 3/4 x y z - 1/2 x z + 3/2 z x + + 3 3 2 3 2 3 2 2 2 + - 3/2 z x - 9/4 z y x + 3/4 x y z - 3 z y x + 3 x y z + + 3 3 2 2 3 2 3 2 2 + + 9/4 z y x - 2 x z + 2 z x + 1/2 x z , COEFF(2, -1, 2) = 1/2 x z + + 3 3 2 3 3 3 2 3 2 2 + + 1/2 z x + 3/4 z y x - 3/4 z y x - 1/2 z x - 3/4 x y z + + 3 2 3 2 2 3 3 + + 3/4 z y x - 1/2 z x , COEFF(-1, 0, 2) = 9/4 z y x - 9/4 x y z + + 2 2 3 3 3 3 2 3 3 2 + - 9/2 x y z + 5/4 z x - 9/4 z y x - 5/4 z x + 9/2 z y x + + 2 2 2 3 2 3 2 + - 5/4 x z + 5/2 x z + 5/4 x z + 9/4 x y z - 5/2 z x , COEFF(0, 0, 2) + + 3 2 3 3 2 2 2 3 3 + = 9/2 y z - 27/4 z y x + 25/4 z x + 45/4 x y z + 27/4 z y x + + 2 2 3 2 2 2 2 3 3 + - 25/4 x z - 45/4 z y x + 5/2 z - 9/2 y z + 15/4 z x - 5/2 z + + 3 3 3 3 3 3 2 2 + - 15/4 z x , COEFF(1, 0, 2) = - 27/4 z y x + 15/4 z x - 9 x y z + + 2 3 2 3 2 3 2 2 2 + + 5/4 x z - 5 z x - 5/4 x z + 27/4 z y x + 5 x z - 9/4 x y z + + 3 2 3 2 3 2 2 + + 9 z y x + 9/4 x y z - 15/4 z x , COEFF(2, 0, 2) = 9/4 x y z + + 3 3 3 2 3 3 2 3 2 2 + + 9/4 z y x - 9/4 z y x - 5/4 z x - 9/4 z y x - 5/4 x z + + 3 2 2 3 3 2 2 + + 5/4 z x + 5/4 z x , COEFF(-1, 1, 2) = - 9/2 z y x - 9/4 x y z + + 3 3 2 2 3 2 2 3 3 2 3 + - z x - 2 x z + 2 z x + x z + 9/4 z y x - 9/4 z y x + + 3 2 2 3 2 3 2 + + 9/4 x y z + 9/2 x y z - x z + z x , COEFF(0, 1, 2) = -2 z + + 2 3 2 2 3 3 2 2 2 3 3 3 + - 3 z x + 5 x z + 3 z x - 45/4 x y z + 27/4 z y x - 27/4 z y x + + 3 2 2 3 3 3 2 + - 5 z x + 9/2 y z + 2 z - 9/2 y z + 45/4 z y x , COEFF(1, 1, 2) = + + 2 2 3 2 2 2 3 3 2 3 + 9/4 x y z - 27/4 z y x + 9 x y z - x z + x z - 9/4 x y z + 3 z x + + 3 3 3 2 3 2 3 3 2 2 + - 3 z x - 9 z y x + 4 z x + 27/4 z y x - 4 x z , COEFF(2, 1, 2) + + 3 3 2 3 3 3 3 2 3 2 2 3 + = - 9/4 z y x - z x + z x + 9/4 z y x - z x + 9/4 z y x + + 2 2 2 2 3 3 3 + - 9/4 x y z + x z , COEFF(-1, 2, 2) = - 3/4 x y z - 3/4 z y x + + 2 2 2 3 2 2 2 2 + + 3/4 x y z - 3/2 x y z + 3/2 z y x - 1/4 x z + 1/2 x z + + 2 3 3 3 3 2 3 2 3 + + 3/4 z y x + 1/4 z x - 1/2 z x + 1/4 x z - 1/4 z x , + + 2 2 2 3 2 2 3 + COEFF(0, 2, 2) = 15/4 x y z - 9/4 z y x - 5/4 x z - 1/2 z + + 3 2 3 3 2 3 2 2 3 3 + + 5/4 z x - 3/4 z x + 1/2 z - 15/4 z y x + 3/4 z x + 3/2 y z + + 3 3 2 2 3 2 2 + + 9/4 z y x - 3/2 y z , COEFF(1, 2, 2) = - 3/4 z x - 3 x y z + + 3 3 3 2 2 3 3 2 2 3 + - 9/4 z y x + 3/4 x y z + x z + 3/4 z x - 3/4 x y z + 9/4 z y x + + 3 2 2 3 3 2 2 3 + + 3 z y x + 1/4 x z - 1/4 x z - z x , COEFF(2, 2, 2) = 1/4 z x + + 2 2 3 3 3 3 2 2 3 2 + + 3/4 x y z - 1/4 z x + 3/4 z y x - 1/4 x z - 3/4 z y x + + 2 3 3 2 + - 3/4 z y x + 1/4 z x ] + +> print_coeff__lc_of_data(%, "coeff_dyy_", "fp", 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+bytes used=2713322744, alloc=8976788, time=436.97 +bytes used=2714323980, alloc=8976788, time=437.16 +bytes used=2715324136, alloc=8976788, time=437.39 +bytes used=2716324296, alloc=8976788, time=437.56 +bytes used=2717325304, alloc=8976788, time=437.74 +bytes used=2718325904, alloc=8976788, time=437.91 +bytes used=2719326088, alloc=8976788, time=438.04 +bytes used=2720326348, alloc=8976788, time=438.17 +bytes used=2721326640, alloc=8976788, time=441.41 +bytes used=2722326848, alloc=8976788, time=443.17 +bytes used=2723327488, alloc=8976788, time=443.98 +bytes used=2724327704, alloc=8976788, time=444.25 +bytes used=2725328168, alloc=8976788, time=444.36 +bytes used=2726328336, alloc=8976788, time=444.43 +bytes used=2727328524, alloc=8976788, time=444.61 +bytes used=2728328684, alloc=8976788, time=444.77 +> +# d^2/dydz +> simplify( diff(interp_3d_cube_order2,y,z) ); +bytes used=2729329196, alloc=8976788, time=444.93 +bytes used=2730329372, alloc=8976788, time=445.02 +bytes 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z DATA(-1, 2, 2) + 9/2 x y z DATA(1, 2, 2) + + 2 2 2 2 2 2 + - 81/8 x y z DATA(2, 0, 0) + 45/8 x y z DATA(0, 2, -1) + + 2 2 2 2 + - 27/4 x y z DATA(-1, 0, -1) + 25/4 x z DATA(0, 1, 0) + + 2 2 2 2 2 2 + + 27/8 x y z DATA(2, 0, -1) + 27/4 x y z DATA(-1, 2, 0) + + 2 2 2 2 2 2 + + 81/4 x y z DATA(-1, 0, 0) + 27/4 x y z DATA(-1, 0, 2) + + 2 2 2 2 2 2 + + 81/8 x y z DATA(2, 0, 1) - 27/8 x y z DATA(2, 2, 0) + + 2 2 2 2 + - 27/8 x y z DATA(2, 0, 2) - 5/2 x z DATA(-1, 1, 0) + + 2 2 2 2 2 2 + - 9/8 x y z DATA(2, 2, 2) + 27/2 x y z DATA(1, 0, 2) + + 2 2 2 2 2 2 + - 81/2 x y z DATA(1, 0, 1) + 9/8 x y z DATA(2, 2, -1) + + 2 2 2 2 + + 5 x z DATA(1, -1, 0) + 27/8 x y z DATA(2, 2, 1) + + 2 2 2 + + 50 x y z DATA(1, 0, 0) + 18 x y z DATA(1, 0, -1) + + 2 2 2 2 + + 6 x y z DATA(1, 2, -1) + 12 x y z DATA(1, 2, 1) + + 2 3 2 + - 27/8 y x DATA(0, 1, 1) - 25/2 x y z DATA(0, 2, 0) + + 2 2 + - 5/2 x y z DATA(0, 2, 2) - 125/2 x y z DATA(0, 0, 0) + + 2 2 2 + + x y z DATA(2, -1, 2) + 2 x y z DATA(2, 1, 2) + 50 x y z DATA(0, 1, 0) + + 2 2 + - 20 x y z DATA(-1, 1, 0) - 20 x y z DATA(1, -1, 0) + + 2 2 + - 4 x y z DATA(1, -1, 2) - 4 x y z DATA(-1, 1, 2) + + 2 2 + + 10 x y z DATA(2, 1, 0) - 40 x y z DATA(1, 1, 0) + + 2 2 + - 8 x y z DATA(1, 1, 2) + 5 x y z DATA(2, -1, 0) + + 2 2 + + 10 x y z DATA(0, 1, 2) + 25 x y z DATA(0, -1, 0) + + 2 2 + + 5 x y z DATA(0, -1, 2) - 10 x y z DATA(-1, -1, 0) + + 2 2 + - 2 x y z DATA(-1, -1, 2) - 25/4 x z DATA(0, -1, 0) + + 2 + - 1/8 x DATA(-1, -1, -1) + x y z DATA(-1, 2, 2) + + 2 2 + - 25/2 x y z DATA(2, 0, 0) - 5/2 x y z DATA(2, 0, 2) + + 2 2 + + 2 x y z DATA(1, 2, 2) + 10 x y z DATA(1, 2, 0) + + 2 2 + - 25/2 x y z DATA(0, 0, 2) + 5 x y z DATA(-1, 2, 0) + + 2 + + 25 x y z DATA(-1, 0, 0) + 1/8 x DATA(-1, -1, 1) + + - 10 x y z DATA(1, 1, 0) - 2 x y z DATA(1, 1, 2) + 10 x y z DATA(-1, 1, 0) + + 2 + - 5 x y z DATA(1, -1, 0) - 5/2 x y z DATA(2, 2, 0) + + 2 2 + - 1/2 x y z DATA(2, 2, 2) + 5 x y z DATA(-1, 0, 2) + + 2 + + 10 x y z DATA(1, 0, 2) - 1/4 x z DATA(-1, -1, 2) + + 2 2 + + x y z DATA(-1, -1, 2) - 15 x y z DATA(1, 2, 0) + + 2 2 2 2 + + 6 x y z DATA(-1, 2, 1) - 15 x y z DATA(0, 2, 1) + + 2 + + 25/2 x y z DATA(1, 0, 0) + x z DATA(1, -1, 2) + 5 x y z DATA(-1, -1, 0) + + + 1/8 x DATA(-1, 1, -1) - 1/2 x y DATA(-1, -1, 1) + + 2 2 + - 1/2 x z DATA(-1, 1, 2) - 5/4 x z DATA(0, -1, 2) + + 2 + + 5/4 x z DATA(1, -1, 0) + 1/4 x z DATA(1, -1, 2) - 5 x y DATA(0, 1, 1) + + 2 2 + - 1/8 x DATA(-1, 1, 1) + 5/2 z DATA(0, -1, 0) - 45/4 x y z DATA(2, 1, 0) + + 2 2 2 2 + + 45 x y z DATA(1, 1, 0) + 9 x y z DATA(1, 1, 2) + + 2 2 2 2 + + 15/2 x y z DATA(0, -1, -1) + 15 x y z DATA(0, -1, 1) + + 2 2 2 2 + - 18 x y z DATA(-1, 1, 1) + 3 x y z DATA(-1, 2, -1) + + 2 2 2 2 + + 45/4 x y z DATA(0, 0, 2) + 15/2 x y z DATA(-1, -1, 0) + + 2 2 2 2 + + 3/2 x y z DATA(-1, -1, 2) + 3 x y z DATA(2, -1, 1) + + 2 2 2 + - 3/8 x y DATA(2, 2, 1) - 2 y z DATA(0, -1, 2) - 5 x z DATA(1, 1, 0) + + 2 2 + + 9/8 x y DATA(-1, 1, 1) - 9/8 x y DATA(-1, 1, -1) + + 2 2 + + 3/8 x y DATA(-1, -1, 1) - 3/8 x 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DATA(0, 0, -1) - 20 y z DATA(0, 0, 1) - 2 y z DATA(0, 2, -1) + + 2 2 2 2 + - 4 y z DATA(0, 2, 1) + 3/8 x z DATA(2, 1, -1) + 9/8 x z DATA(2, 1, 1) + + 2 2 2 2 + - 3/2 x z DATA(1, 1, -1) + 9/2 x z DATA(1, -1, 1) + + 2 2 2 2 + - 3/4 x z DATA(-1, 1, -1) + 3/2 x z DATA(1, -1, -1) + + 2 2 2 2 + - 9/4 x z DATA(-1, 1, 1) + 3/4 x z DATA(-1, -1, -1) + + 2 2 2 2 + + 9/4 x z DATA(-1, -1, 1) + 9/4 x z DATA(-1, 1, 0) + + 2 2 2 2 + - 9/2 x z DATA(1, -1, 0) - 9/8 x z DATA(2, 1, 0) + + 2 2 2 2 + + 9/8 x z DATA(2, -1, 0) - 9/2 x z DATA(1, 1, 1) + + 2 2 2 2 + + 15/8 x z DATA(0, 1, -1) - 9/4 x z DATA(-1, -1, 0) + + 2 2 2 + - 9/8 x z DATA(-1, 1, 0) - 15/8 x z DATA(0, 1, 2) + + 2 2 2 2 + + 45/8 x z DATA(0, -1, 0) - 3/2 x z DATA(1, -1, 2) + + 2 2 2 2 + + 3/8 x z DATA(2, -1, 2) - 3/8 x z DATA(2, 1, 2) + + 2 2 2 + + 3/4 x z DATA(-1, 1, 2) + 3/8 x z DATA(-1, 1, -1) + + 2 2 + + 3/8 x z DATA(1, -1, -1) - 9/8 x z DATA(1, -1, 0) + + 2 2 + - 9/8 x z DATA(1, 1, 1) + 9/8 x z DATA(1, -1, 1) + + 2 2 + - 3/8 x z DATA(1, -1, 2) + 3/8 x z DATA(1, 1, 2) + + 2 2 + + 3/8 x z DATA(-1, -1, 2) - 3/8 x z DATA(-1, 1, 2) + + 2 + - 3/8 x z DATA(1, 1, -1) + 1/4 DATA(0, -1, -1) - 1/4 DATA(0, -1, 1) + + 3 3 + - 1/4 DATA(0, 1, -1) + 3 z x DATA(1, -1, 1) - 1/2 z x DATA(-1, 1, -1) + + 3 3 + + 3/2 z x DATA(1, -1, -1) - z x DATA(-1, 1, 1) + + 3 3 + + 1/2 z x DATA(-1, -1, -1) + z x DATA(-1, -1, 1) + + 2 2 + + 9/8 x z DATA(-1, 1, 1) - 3/8 x z DATA(-1, -1, -1) + + 2 3 + - 9/8 x z DATA(-1, -1, 1) + 3/2 z x DATA(0, 1, -1) + + 3 3 3 + - 3 z x DATA(1, 1, 1) - 3 z x DATA(0, -1, 1) + 3 z x DATA(0, 1, 1) + + 3 2 + - 3/2 z x DATA(0, -1, -1) - 5/2 x z DATA(0, 1, -1) + + 3 3 3 + - 3/2 z x DATA(1, 1, -1) - z x DATA(2, -1, 1) - 1/2 z x DATA(2, -1, -1) + + 3 3 2 + + 1/2 z x DATA(2, 1, -1) + z x DATA(2, 1, 1) - 2 x z DATA(-1, -1, 1) + + 2 2 2 + + 2 x z DATA(-1, 1, 1) - x z DATA(-1, -1, -1) - 4 x z DATA(1, -1, 1) + + 2 2 2 + + x z DATA(-1, 1, -1) - 2 x z DATA(1, -1, -1) + 4 x z DATA(1, 1, 1) + + 2 2 2 + + 1/2 x z DATA(2, -1, -1) + x z DATA(2, -1, 1) - 1/2 x z DATA(2, 1, -1) + + 2 2 2 + - x z DATA(2, 1, 1) + 2 x z DATA(1, 1, -1) + 9/8 x z DATA(1, 1, 0) + +> coeff_as_lc_of_data(%, posn_list_3d_size4); +bytes used=2742481224, alloc=8976788, time=446.05 +bytes used=2743602868, alloc=8976788, time=446.14 +bytes used=2744644876, alloc=8976788, time=446.23 +bytes used=2745681984, alloc=8976788, time=446.33 +bytes used=2746682160, alloc=8976788, time=446.42 +bytes used=2747702336, alloc=8976788, time=446.51 +bytes used=2748746840, alloc=8976788, time=446.60 +bytes used=2749764968, alloc=8976788, time=446.70 +bytes used=2750772756, alloc=8976788, time=446.79 +bytes used=2751772924, alloc=8976788, time=446.89 +bytes used=2752773232, alloc=8976788, time=446.99 +bytes used=2753773584, alloc=8976788, time=447.10 +bytes used=2754815708, alloc=8976788, time=447.17 +bytes used=2755828176, alloc=8976788, time=447.23 + 2 2 2 2 3 +[COEFF(-1, -1, -1) = - 1/8 x - x z + 1/2 x z - 3/8 x z + 3/4 x z - 1/8 x + + 2 2 3 2 2 3 2 3 3 + + 1/4 x - 3/8 y x - 9/8 x y z + 1/2 z x + 3/2 z y x - 2 z y x + + 2 3 2 2 3 2 3 2 2 + - 3/8 z x - 9/8 z y x + 3/2 z y x - 2 x y z + 4 x y z + 3/2 x y z + + 2 2 2 2 2 2 2 2 2 2 2 + - 3 x y z + 3/4 x y - 3 x y z - x y + 3/2 x y z + 9/4 x y z + + 2 3 2 2 2 + - 3/8 x y + 1/2 x y + 1/2 y x , COEFF(0, -1, -1) = 9/4 y z - 3 y z + + 2 2 2 2 2 3 + + 5/2 x z - 3 y z + 4 y z - y - z + 3/4 z - 15/8 x z + 3/8 x + + 2 2 2 3 3 2 3 3 + - 5/8 x + 3/4 y + 9/8 y x - 3/2 z x - 9/2 z y x + 6 z y x + + 2 3 2 2 3 2 3 2 2 2 + + 9/8 z x + 27/8 z y x - 9/2 z y x - 10 x y z + 15/2 x y z + + 2 2 2 2 2 2 2 2 3 + - 15/8 x y + 15/2 x y z + 5/2 x y - 45/8 x y z + 1/4 - 3/2 y x , + + 2 2 2 2 3 + COEFF(1, -1, -1) = 1/8 x - 2 x z - 1/2 x z + 3/8 x z + 3/2 x z - 3/8 x + + 2 2 3 2 2 3 2 3 3 + + 1/2 x - 9/8 y x + 9/8 x y z + 3/2 z x + 9/2 z y x - 6 z y x + + 2 3 2 2 3 2 3 2 + - 9/8 z x - 27/8 z y x + 9/2 z y x + 2 x y z + 8 x y z + + 2 2 2 2 2 2 2 2 2 + - 3/2 x y z - 6 x y z + 3/2 x y - 6 x y z - 2 x y - 3/2 x y z + + 2 2 2 2 3 + + 9/2 x y z + 3/8 x y - 1/2 x y + 3/2 y x , COEFF(2, -1, -1) = + + 2 2 3 2 2 3 2 3 2 2 3 + 3/2 x y z + 1/8 x + 1/2 x y + 3/8 y x - 3/2 z y x + 9/8 z y x + + 3 3 2 2 2 2 3 + + 2 z y x - 1/2 z x + 1/2 x z - 3/8 x y - 1/8 x - 1/2 y x + + 2 2 2 2 2 2 3 2 2 2 + - 2 x y z + 3/2 x y z - 3/8 x z - 3/2 z y x - 9/8 x y z + + 2 3 2 2 2 2 + + 3/8 z x , COEFF(-1, 0, -1) = 5 x y z + 9 x y z + 5/2 x y - 10 x y z + + 2 2 3 2 2 2 3 2 3 2 2 + + 27/8 z y x + 15/2 x y z - 9/2 z y x - 15/4 z y x + 27/8 x y z + + 3 2 3 2 3 2 2 + + 5 z y x - 5/4 x y + 9/8 x y - 5/4 y x + 9/8 y x - 9/4 x y + + 2 2 2 2 2 2 + - 9/2 x y z - 27/4 x y z - 15/4 x y z , COEFF(0, 0, -1) = - 9/4 y + + 2 3 2 2 2 2 2 2 2 3 + + 45/4 z y x - 25/4 x y - 45/2 x y z - 75/4 x y z - 81/8 z y x + + 3 2 2 2 2 2 2 3 + + 15/4 y x + 45/8 x y + 135/8 x y z + 15/2 y z - 15 z y x + 5/2 y + + 2 2 2 2 3 2 3 2 + + 25 x y z - 27/4 y z - 27/8 y x + 27/2 z y x + 9 y z - 10 y z, + + 2 2 2 2 2 + COEFF(1, 0, -1) = 9/2 x y z - 27/2 x y z - 5 x y z - 9/8 x y + + 3 2 2 2 3 2 2 + + 15 z y x + 5 x y + 15/4 x y z - 45/4 z y x - 27/8 x y z + + 2 2 2 2 2 2 2 3 3 + - 9/2 x y + 18 x y z + 5/4 x y - 20 x y z + 81/8 z y x - 15/4 y x + + 2 3 2 2 2 3 2 + - 27/2 z y x + 15 x y z + 27/8 y x , COEFF(2, 0, -1) = 5 x y z + + 2 2 3 2 2 2 3 2 2 2 3 + - 27/8 z y x + 9/8 x y - 9/8 y x + 27/8 x y z + 5/4 y x + + 2 3 2 2 3 2 2 2 + + 9/2 z y x - 15/4 x y z - 5 z y x - 5/4 x y - 9/2 x y z + + 2 3 2 2 + + 15/4 z y x , COEFF(-1, 1, -1) = 1/8 x + x z - 1/2 x z + 3/8 x z + + 2 2 3 2 2 3 2 2 3 + - 3/4 x z + 1/8 x - 1/4 x - 9/8 y x - 27/8 x y z - 1/2 z x + + 2 3 3 2 3 2 2 3 2 3 + + 3 z y x - 4 z y x + 3/8 z x - 27/8 z y x + 9/2 z y x - 4 x y z + + 2 2 2 2 2 2 2 2 2 + + 8 x y z + 9/2 x y z - 9 x y z + 9/4 x y - 6 x y z - 2 x y + + 2 2 2 2 2 3 + + 3 x y z + 27/4 x y z - 9/8 x y + x y + y x , COEFF(0, 1, -1) = + + 2 2 2 2 2 2 + 27/4 y z - 9 y z - 5/2 x z - 6 y z + 8 y z - 2 y + z - 3/4 z + + 2 2 3 2 2 2 3 3 + + 15/8 x z - 3/8 x + 5/8 x + 9/4 y + 27/8 y x + 3/2 z x + + 2 3 3 2 3 2 2 3 2 3 + - 9 z y x + 12 z y x - 9/8 z x + 81/8 z y x - 27/2 z y x + + 2 2 2 2 2 2 2 2 + - 20 x y z + 45/2 x y z - 45/8 x y + 15 x y z + 5 x y + + 2 2 2 3 2 + - 135/8 x y z - 1/4 - 3 y x , COEFF(1, 1, -1) = - 1/8 x + 2 x z + + 2 2 2 3 2 2 3 + + 1/2 x z - 3/8 x z - 3/2 x z + 3/8 x - 1/2 x - 27/8 y x + + 2 2 3 2 3 3 2 3 + + 27/8 x y z - 3/2 z x + 9 z y x - 12 z y x + 9/8 z x + + 2 2 3 2 3 2 2 + - 81/8 z y x + 27/2 z y x + 4 x y z + 16 x y z - 9/2 x y z + + 2 2 2 2 2 2 2 2 2 2 2 + - 18 x y z + 9/2 x y - 12 x y z - 4 x y - 3 x y z + 27/2 x y z + + 2 3 2 2 3 + + 9/8 x y - x y + 3 y x , COEFF(2, 1, -1) = 3/8 x z - 1/8 x + + 2 3 2 2 3 2 3 2 2 2 2 3 + - 9/2 z y x + x y - 3/8 z x + 9/8 y x + 9/2 x y z + 27/8 z y x + + 2 3 2 2 2 2 2 2 2 3 + - 3 z y x + 1/8 x - 9/8 x y - 27/8 x y z - 1/2 x z + 4 z y x + + 3 2 2 2 3 2 2 + + 1/2 z x - 4 x y z + 3 x y z - y x , COEFF(-1, 2, -1) = 3 x y z + + 2 2 3 3 2 2 2 2 + - 1/4 x y + 9/8 z y x - 1/4 y x - 3/4 x y + 1/2 x y + 3/8 x y + + 2 2 2 2 2 2 2 3 2 3 + - 9/4 x y z + 9/8 x y z - 2 x y z - 3/4 z y x + 3/8 y x + + 2 2 2 2 3 2 3 + - 3/2 x y z - 3/4 x y z + 3/2 x y z + z y x + x y z - 3/2 z y x , + + 2 3 2 2 3 2 + COEFF(0, 2, -1) = 9/4 z y x + 1/2 y - 27/8 z y x - 2 y z - 3/4 y + + 2 3 2 3 2 3 2 2 2 + - 9/8 y x + 9/2 z y x - 5/4 x y + 3/4 y x + 3/2 y z - 9/4 y z + + 2 2 2 2 2 2 3 2 + - 15/2 x y z - 15/4 x y z + 15/8 x y - 3 z y x + 5 x y z + + 2 2 2 2 2 2 2 + + 45/8 x y z + 3 y z, COEFF(1, 2, -1) = -4 x y z + 6 x y z + + 2 2 2 2 2 2 2 2 2 + + 3 x y z - 3/8 x y - 3/2 x y - 9/2 x y z + 3/2 x y z - x y z + + 3 3 2 3 2 3 2 2 + - 3/4 y x + 1/4 x y + 3 z y x - 9/4 z y x + 9/8 y x - 9/8 x y z + + 2 2 3 2 2 2 3 + + 27/8 z y x + x y + 3/4 x y z - 9/2 z y x , COEFF(2, 2, -1) = + + 3 2 2 2 2 2 3 2 3 3 + 1/4 y x - 3/4 x y z + 3/8 x y + 3/2 z y x + 3/4 z y x - z y x + + 2 2 2 2 3 2 2 2 2 + + 9/8 x y z - 3/8 y x + x y z - 3/2 x y z - 1/4 x y + + 2 2 3 2 2 3 2 3 2 2 + - 9/8 z y x , COEFF(-1, -1, 0) = 27/8 z y x - 9/2 z y x + 9 x y z + + 2 2 2 2 2 3 2 3 + - 9/4 x z - 5/4 x z + 15/2 x y z + 9/8 z x - 15/4 z y x + + 2 2 2 2 2 3 2 + - 9/2 x y z - 27/4 x y z + 9/8 x z + 5 z y x - 15/4 x y z + + 2 3 2 2 2 + - 10 x y z - 5/4 z x + 5/2 x z + 5 x y z + 27/8 x y z , + + 2 2 3 2 3 2 2 3 + COEFF(0, -1, 0) = - 9/4 z + 27/2 z y x + 45/4 z y x - 81/8 z y x + + 2 3 2 2 2 2 2 2 2 + - 25/4 x z - 15 z y x + 45/8 x z + 9 y z + 25 x y z + 135/8 x y z + + 3 2 2 2 2 2 2 + + 15/4 z x - 27/4 y z + 5/2 z - 75/4 x y z - 45/2 x y z - 10 y z + + 2 3 2 2 2 3 2 2 + - 27/8 z x + 15/2 y z, COEFF(1, -1, 0) = 81/8 z y x + 18 x y z + + 2 3 2 2 2 3 2 + - 27/2 z y x - 27/2 x y z - 5 x y z + 15 z y x + 15/4 x y z + + 2 2 2 2 2 3 2 2 3 + - 9/2 x z - 27/8 x y z + 5 x z - 15/4 z x - 20 x y z + 27/8 z x + + 2 2 3 2 2 2 + - 9/8 x z - 45/4 z y x + 5/4 x z + 15 x y z + 9/2 x y z , + + 3 2 3 2 2 2 2 + COEFF(2, -1, 0) = 5/4 z x + 15/4 z y x - 9/2 x y z - 15/4 x y z + + 2 3 2 2 3 2 3 2 3 + + 9/2 z y x - 27/8 z y x - 5/4 x z - 5 z y x - 9/8 z x + + 2 2 2 2 2 2 2 3 + + 27/8 x y z + 9/8 x z + 5 x y z, COEFF(-1, 0, 0) = 45/4 z y x + + 3 2 2 2 2 2 2 2 2 3 + - 25/2 z y x - 45/2 x y z + 81/4 x y z + 25 x y z - 81/8 z y x + + 2 3 2 2 2 2 2 + + 45/4 z y x - 25/2 x y z + 45/4 x y z - 45/2 x y z - 81/8 x y z + + 2 2 2 2 2 2 2 + + 45/4 x y z, COEFF(0, 0, 0) = 81/4 y z + 225/4 x y z + 225/4 x y z + + 3 2 3 2 2 2 2 3 + + 75/2 z y x - 135/4 z y x + 25 y z - 405/8 x y z - 135/4 z y x + + 2 2 3 2 2 2 + + 243/8 z y x - 45/2 y z - 125/2 x y z - 45/2 y z, COEFF(1, 0, 0) = + + 2 2 2 3 2 3 2 2 + 25/2 x y z - 45/4 x y z - 243/8 z y x + 135/4 z y x + 81/8 x y z + + 2 2 2 2 2 2 2 2 2 3 + + 81/2 x y z - 45 x y z - 45 x y z - 45/4 x y z + 135/4 z y x + + 2 3 2 2 2 2 + + 50 x y z - 75/2 z y x , COEFF(2, 0, 0) = - 25/2 x y z - 81/8 x y z + + 2 2 3 2 2 3 2 3 2 3 + + 45/4 x y z + 25/2 z y x + 81/8 z y x - 45/4 z y x - 45/4 z y x + + 2 2 2 2 3 2 3 + + 45/4 x y z , COEFF(-1, 1, 0) = 81/8 z y x + 5/4 x z - 9 z y x + + 2 2 2 2 2 2 2 2 3 + + 18 x y z + 81/8 x y z - 81/4 x y z - 45/4 z y x + 10 x y z + + 2 3 3 2 2 3 2 2 + - 9/8 z x + 5/4 z x + 9/4 x z + 10 z y x - 9 x y z - 9/8 x z + + 2 2 2 2 2 + - 45/4 x y z - 5/2 x z - 20 x y z + 45/2 x y z, COEFF(0, 1, 0) = + + 2 3 2 2 2 2 2 2 2 + 27/8 z x + 9/4 z - 81/4 y z - 45 x y z + 25/4 x z + 50 x y z + + 2 2 2 2 2 3 2 2 + - 5/2 z - 45/8 x z + 405/8 x y z - 15/4 z x + 18 y z + 45/2 y z + + 2 3 2 3 2 2 2 2 3 + + 27 z y x + 135/4 z y x - 225/4 x y z - 20 y z - 243/8 z y x + + 3 2 2 2 2 3 + - 30 z y x , COEFF(1, 1, 0) = 9/2 x z + 9 x y z - 135/4 z y x + + 2 2 3 2 2 2 2 + - 5 x z - 5/4 x z - 27/8 z x - 10 x y z + 36 x y z - 81/8 x y z + + 2 3 2 2 2 3 + + 45/4 x y z + 30 z y x + 9/8 x z + 45 x y z + 15/4 z x + + 2 2 3 2 2 2 2 3 2 + + 243/8 z y x - 81/2 x y z - 27 z y x - 40 x y z, COEFF(2, 1, 0) + + 2 2 2 2 2 2 2 2 2 3 2 + = 5/4 x z - 9/8 x z + 81/8 x y z - 9 x y z + 9 z y x + 10 x y z + + 2 2 2 2 3 2 3 3 2 3 + - 45/4 x y z - 81/8 z y x + 45/4 z y x - 10 z y x + 9/8 z x + + 3 2 2 2 3 2 + - 5/4 z x , COEFF(-1, 2, 0) = - 9/2 x y z + 15/4 z y x + 9/4 x y z + + 2 2 2 2 2 3 2 2 2 + + 27/4 x y z - 27/8 z y x + 5 x y z - 5/2 x y z - 15/2 x y z + + 3 2 2 2 3 2 + - 5/2 z y x - 27/8 x y z + 9/4 z y x + 15/4 x y z, COEFF(0, 2, 0) = + + 2 2 2 2 3 2 3 2 + 45/4 x y z + 81/8 z y x + 5 y z - 45/4 z y x - 25/2 x y z + + 2 2 2 2 2 2 3 2 3 + + 75/4 x y z - 9/2 y z - 135/8 x y z + 15/2 z y x - 27/4 z y x + + 2 2 2 2 3 3 + - 15/2 y z + 27/4 y z , COEFF(1, 2, 0) = 45/4 z y x - 15/2 z y x + + 2 2 2 2 2 2 2 2 3 2 2 + - 15/4 x y z + 27/2 x y z - 9 x y z - 81/8 z y x - 15 x y z + + 2 2 2 2 2 3 + + 27/8 x y z + 10 x y z - 9/4 x y z + 27/4 z y x + 5/2 x y z, + + 2 3 2 3 2 2 2 2 + COEFF(2, 2, 0) = - 15/4 z y x - 9/4 z y x - 27/8 x y z - 5/2 x y z + + 3 2 2 2 2 2 2 3 + + 5/2 z y x + 15/4 x y z + 9/4 x y z + 27/8 z y x , + + 2 2 2 2 3 + COEFF(-1, -1, 1) = 1/8 x - 2 x z + x z - 9/8 x z + 9/4 x z + 1/8 x + + 2 2 3 2 2 3 2 3 3 + - 1/4 x + 3/8 y x - 27/8 x y z + z x + 9/2 z y x - 4 z y x + + 2 3 2 2 3 2 3 2 2 + - 9/8 z x - 27/8 z y x + 3 z y x - 4 x y z + 8 x y z + 3 x y z + + 2 2 2 2 2 2 2 2 2 2 2 + - 6 x y z - 3/4 x y - 9 x y z + x y + 9/2 x y z + 27/4 x y z + + 2 3 2 2 2 + + 3/8 x y - 1/2 x y - 1/2 y x , COEFF(0, -1, 1) = 27/4 y z - 6 y z + + 2 2 2 2 2 3 + + 5 x z - 9 y z + 8 y z + y - 2 z + 9/4 z - 45/8 x z - 3/8 x + + 2 2 2 3 3 2 3 3 + + 5/8 x - 3/4 y - 9/8 y x - 3 z x - 27/2 z y x + 12 z y x + + 2 3 2 2 3 2 3 2 2 2 + + 27/8 z x + 81/8 z y x - 9 z y x - 20 x y z + 15 x y z + + 2 2 2 2 2 2 2 2 3 + + 15/8 x y + 45/2 x y z - 5/2 x y - 135/8 x y z - 1/4 + 3/2 y x , + + 2 2 2 2 3 + COEFF(1, -1, 1) = - 1/8 x - 4 x z - x z + 9/8 x z + 9/2 x z + 3/8 x + + 2 2 3 2 2 3 2 3 3 + - 1/2 x + 9/8 y x + 27/8 x y z + 3 z x + 27/2 z y x - 12 z y x + + 2 3 2 2 3 2 3 2 2 + - 27/8 z x - 81/8 z y x + 9 z y x + 4 x y z + 16 x y z - 3 x y z + + 2 2 2 2 2 2 2 2 + - 12 x y z - 3/2 x y - 18 x y z + 2 x y - 9/2 x y z + + 2 2 2 2 3 + + 27/2 x y z - 3/8 x y + 1/2 x y - 3/2 y x , COEFF(2, -1, 1) = + + 2 2 3 3 3 2 2 2 2 3 2 + 27/8 z y x - z x - 1/8 x + 9/2 x y z + x z + 9/8 z x - 1/2 x y + + 2 3 2 3 2 2 2 2 2 2 + - 9/2 z y x + 1/8 x + 1/2 y x - 27/8 x y z - 4 x y z + 3 x y z + + 2 3 3 2 2 2 3 2 2 + - 3 z y x + 4 z y x + 3/8 x y - 3/8 y x - 9/8 x z , + + 2 3 2 2 2 2 2 + COEFF(-1, 0, 1) = -9 z y x - 5/2 x y + 81/8 x y z + 18 x y z + + 2 3 2 2 2 3 + - 9/8 x y + 10 z y x + 45/2 x y z + 5/4 x y - 45/4 z y x + 10 x y z + + 3 2 2 2 2 2 2 3 + + 5/4 y x - 45/4 x y z + 9/4 x y - 9 x y z + 81/8 z y x + + 2 3 2 2 2 2 + - 9/8 y x - 81/4 x y z - 20 x y z, COEFF(0, 0, 1) = - 5/2 y + + 2 2 3 2 2 2 3 2 3 + - 225/4 x y z - 15/4 y x + 25/4 x y + 9/4 y + 27 z y x + 27/8 y x + + 2 2 2 2 3 2 2 2 2 2 3 + - 45/8 x y - 243/8 z y x - 45 x y z - 81/4 y z + 135/4 z y x + + 2 3 2 2 2 2 2 + + 50 x y z - 20 y z - 30 z y x + 45/2 y z + 405/8 x y z + 18 y z, + + 2 2 2 2 2 2 3 + COEFF(1, 0, 1) = 9 x y z + 9/2 x y - 40 x y z + 9/8 x y - 27/8 y x + + 2 2 2 2 2 2 2 3 2 + - 81/8 x y z + 45 x y z - 81/2 x y z + 30 z y x - 5 x y + + 2 3 2 2 2 3 + - 27 z y x - 5/4 x y + 45/4 x y z - 10 x y z + 243/8 z y x + + 3 2 2 2 3 2 3 + + 15/4 y x + 36 x y z - 135/4 z y x , COEFF(2, 0, 1) = 9/8 y x + + 2 2 2 2 2 2 3 3 2 2 2 + - 9/8 x y + 81/8 x y z + 9 z y x - 10 z y x - 9 x y z + 5/4 x y + + 2 3 2 2 2 2 3 2 3 + + 45/4 z y x - 45/4 x y z - 81/8 z y x + 10 x y z - 5/4 y x , + + 2 2 2 2 3 + COEFF(-1, 1, 1) = - 1/8 x + 2 x z - x z + 9/8 x z - 9/4 x z - 1/8 x + + 2 2 3 2 2 3 2 3 3 + + 1/4 x + 9/8 y x - 81/8 x y z - z x + 9 z y x - 8 z y x + + 2 3 2 2 3 2 3 2 2 + + 9/8 z x - 81/8 z y x + 9 z y x - 8 x y z + 16 x y z + 9 x y z + + 2 2 2 2 2 2 2 2 2 2 2 + - 18 x y z - 9/4 x y - 18 x y z + 2 x y + 9 x y z + 81/4 x y z + + 2 3 2 2 2 2 + + 9/8 x y - x y - y x , COEFF(0, 1, 1) = 81/4 y z - 18 y z - 5 x z + + 2 2 2 2 3 2 + - 18 y z + 16 y z + 2 y + 2 z - 9/4 z + 45/8 x z + 3/8 x - 5/8 x + + 2 2 3 3 2 3 3 2 3 + - 9/4 y - 27/8 y x + 3 z x - 27 z y x + 24 z y x - 27/8 z x + + 2 2 3 2 3 2 2 2 2 2 + + 243/8 z y x - 27 z y x - 40 x y z + 45 x y z + 45/8 x y + + 2 2 2 2 2 2 3 + + 45 x y z - 5 x y - 405/8 x y z + 1/4 + 3 y x , COEFF(1, 1, 1) = + + 2 2 2 2 3 2 2 3 + 1/8 x + 4 x z + x z - 9/8 x z - 9/2 x z - 3/8 x + 1/2 x + 27/8 y x + + 2 2 3 2 3 3 2 3 + + 81/8 x y z - 3 z x + 27 z y x - 24 z y x + 27/8 z x + + 2 2 3 2 3 2 2 + - 243/8 z y x + 27 z y x + 8 x y z + 32 x y z - 9 x y z + + 2 2 2 2 2 2 2 2 2 2 2 + - 36 x y z - 9/2 x y - 36 x y z + 4 x y - 9 x y z + 81/2 x y z + + 2 3 2 2 3 + - 9/8 x y + x y - 3 y x , COEFF(2, 1, 1) = 9/8 x z + 8 z y x + + 2 2 2 3 2 2 2 2 2 2 3 + + 9 x y z - 9/8 y x + 9/8 x y + 9 x y z - x z - 9 z y x + + 2 3 3 2 3 2 3 2 2 + - 9/8 z x + y x - 9 z y x - 1/8 x + z x - x y - 8 x y z + + 2 2 3 2 2 2 3 2 3 + + 81/8 z y x - 81/8 x y z + 1/8 x , COEFF(-1, 2, 1) = - 3/8 y x + + 2 2 3 2 2 2 3 2 2 + + 27/8 x y z + 2 z y x + 6 x y z - 9/4 z y x + 9/2 x y z + + 2 2 2 2 2 2 3 3 + + 3/4 x y - 1/2 x y - 4 x y z + 27/8 z y x + 1/4 y x + + 2 2 2 2 2 3 2 + - 27/4 x y z - 3 x y z - 3 z y x - 3/8 x y + 2 x y z + 1/4 x y + + 2 2 3 2 3 2 + - 9/4 x y z , COEFF(0, 2, 1) = 9 z y x + 9/8 y x + 10 x y z + + 2 2 3 2 2 2 2 + - 15/8 x y - 6 z y x - 15 x y z - 1/2 y - 4 y z - 45/4 x y z + + 2 2 3 2 2 2 2 2 2 2 + - 81/8 z y x + 6 y z + 135/8 x y z + 5/4 x y + 3/4 y + 9/2 y z + + 3 2 3 2 2 2 2 + - 3/4 y x + 27/4 z y x - 27/4 y z , COEFF(1, 2, 1) = - 27/8 x y z + + 2 2 2 2 3 2 2 3 2 + + 3/2 x y + 12 x y z + 3/4 y x + 81/8 z y x + 3 x y z + + 2 2 2 2 3 2 3 2 2 + - 27/2 x y z - 9 z y x - 27/4 z y x + 9/4 x y z - 8 x y z + + 2 3 2 2 3 2 2 + - 9/8 y x - 1/4 x y - 2 x y z - x y + 3/8 x y + 6 z y x + 9 x y z , + + 2 3 3 2 3 2 2 2 + COEFF(2, 2, 1) = 3/8 y x - 1/4 y x + 3 z y x - 3 x y z + 2 x y z + + 2 2 2 2 2 2 2 3 2 2 3 + - 9/4 x y z - 3/8 x y + 27/8 x y z - 2 z y x - 27/8 z y x + + 2 2 3 2 + + 1/4 x y + 9/4 z y x , COEFF(-1, -1, 2) = - 3/4 x y z + x y z + + 2 2 2 2 3 3 2 3 2 + + 3/2 x y z + 3 x y z - 1/4 z x + z y x + 3/8 z x + 1/2 x z + + 2 2 3 2 2 3 + - 3/2 x y z - 1/4 x z - 3/4 z y x + 3/8 x z - 3/2 z y x + + 2 2 3 2 2 2 2 2 2 2 2 + + 9/8 z y x - 9/4 x y z + 9/8 x y z - 2 x y z - 3/4 x z , + + 2 2 2 2 2 + COEFF(0, -1, 2) = - 15/4 x y z - 5/4 x z + 3/2 y z - 3/4 z + + 2 3 2 2 3 2 2 2 2 + + 9/4 z y x - 27/8 z y x - 15/2 x y z - 9/4 y z + 1/2 z + + 2 2 2 3 2 3 2 2 2 2 + + 15/8 x z - 2 y z + 9/2 z y x - 9/8 z x + 5 x y z + 45/8 x y z + + 2 3 3 2 2 + + 3 y z - 3 z y x + 3/4 z x , COEFF(1, -1, 2) = - 9/8 x y z + + 2 2 2 2 3 2 2 3 + - 9/2 x y z - 9/2 z y x - 4 x y z + x z - 3/4 z x + 1/4 x z + + 2 2 3 3 2 2 2 2 2 + - x y z + 27/8 z y x + 3 z y x + 3 x y z + 3/4 x y z - 3/2 x z + + 2 3 2 3 2 2 2 2 + + 9/8 z x - 9/4 z y x + 3/2 x y z - 3/8 x z + 6 x y z , + + 2 2 2 3 2 3 3 + COEFF(2, -1, 2) = - 1/4 x z + x y z + 3/4 z y x - 3/8 z x + 1/4 z x + + 3 2 2 2 2 2 2 2 2 2 + - z y x - 3/4 x y z - 3/2 x y z + 9/8 x y z + 3/8 x z + + 2 3 2 2 3 2 3 2 + + 3/2 z y x - 9/8 z y x , COEFF(-1, 0, 2) = 15/4 z y x + 5 x y z + + 2 2 2 2 3 2 2 2 + - 5/2 x y z + 9/4 x y z - 27/8 x y z + 9/4 z y x + 27/4 x y z + + 2 2 3 3 2 2 2 2 2 + - 27/8 z y x - 5/2 z y x + 15/4 x y z - 9/2 x y z - 15/2 x y z , + + 2 2 2 2 2 2 3 + COEFF(0, 0, 2) = - 135/8 x y z + 5 y z - 9/2 y z + 81/8 z y x + + 3 2 2 2 2 2 2 + + 15/2 z y x - 25/2 x y z + 75/4 x y z + 27/4 y z - 15/2 y z + + 2 2 2 3 2 3 + + 45/4 x y z - 45/4 z y x - 27/4 z y x , COEFF(1, 0, 2) = + + 2 2 2 2 2 3 2 2 2 + 27/8 x y z - 9 x y z + 27/4 z y x - 9/4 x y z - 15 x y z + + 2 3 2 2 2 2 2 3 + - 15/4 x y z - 15/2 z y x + 5/2 x y z + 27/2 x y z - 81/8 z y x + + 2 2 3 2 3 2 + + 10 x y z + 45/4 z y x , COEFF(2, 0, 2) = - 15/4 z y x - 5/2 x y z + + 2 2 3 2 2 2 2 2 3 2 2 2 + + 27/8 z y x + 15/4 x y z + 9/4 x y z - 9/4 z y x - 27/8 x y z + + 3 3 3 2 + + 5/2 z y x , COEFF(-1, 1, 2) = 2 z y x + 1/4 x z + 1/4 z x - 3 x y z + + 2 2 2 2 2 2 2 2 + + 2 x y z + 9/2 x y z + 3/4 x z - 1/2 x z - 3/8 x z + 27/8 x y z + + 2 2 2 2 2 2 3 2 3 2 + + 6 x y z - 27/4 x y z - 3/8 z x - 9/4 z y x - 4 x y z + + 2 2 2 3 2 3 2 2 + - 9/4 x y z + 27/8 z y x - 3 z y x , COEFF(0, 1, 2) = -15 x y z + + 2 3 2 3 2 2 3 2 3 + - 1/2 z + 10 x y z - 6 z y x + 27/4 z y x - 81/8 z y x + 9 z y x + + 2 2 2 2 2 2 2 2 2 + + 3/4 z - 15/8 x z - 4 y z + 135/8 x y z + 9/2 y z - 27/4 y z + + 2 2 3 2 2 2 3 + + 5/4 x z + 9/8 z x + 6 y z - 45/4 x y z - 3/4 z x , COEFF(1, 1, 2) + + 2 3 3 2 2 2 3 2 + = - 27/4 z y x + 3/4 z x + 9/4 x y z + 81/8 z y x - 8 x y z + + 2 2 2 2 2 2 2 2 2 3 + - 27/8 x y z - 27/2 x y z + 3 x y z + 12 x y z - x z + 6 z y x + + 2 2 3 2 3 2 2 + - 1/4 x z + 3/8 x z - 9 z y x - 2 x y z - 9/8 z x + 9 x y z + + 2 2 2 2 3 2 2 2 3 + + 3/2 x z , COEFF(2, 1, 2) = - 27/8 z y x - 9/4 x y z + 9/4 z y x + + 2 3 2 3 2 3 2 2 + + 3 z y x + 1/4 x z - 2 z y x + 2 x y z - 1/4 z x - 3/8 x z + + 2 2 2 3 2 2 2 2 2 + - 3 x y z + 3/8 z x + 27/8 x y z , COEFF(-1, 2, 2) = - 3/2 x y z + + 2 2 2 2 3 2 3 2 + + 9/4 x y z + 3/4 z y x - 1/2 x y z + 3/4 z y x + 3/4 x y z + + 2 2 2 3 2 2 2 2 3 + + 3/4 x y z - 9/8 z y x - 9/8 x y z - 3/2 x y z - 1/2 z y x + + 2 2 2 2 3 + + x y z, COEFF(0, 2, 2) = - 3/2 y z - 5/2 x y z - 9/4 z y x + + 2 2 2 2 2 2 3 2 2 + - 45/8 x y z + 15/4 x y z - 9/4 z y x + y z + 9/4 y z + + 2 2 3 2 2 3 2 + + 15/4 x y z + 3/2 z y x + 27/8 z y x - 3/2 y z , COEFF(1, 2, 2) = + + 2 2 2 2 2 3 2 2 3 2 2 + 9/2 x y z - 27/8 z y x + 2 x y z + 9/4 z y x - 3 x y z + + 3 2 2 2 2 + - 3/2 z y x + 1/2 x y z - 3/4 x y z - 3 x y z - 3/4 x y z + + 2 3 2 2 2 2 2 2 + + 9/4 z y x + 9/8 x y z , COEFF(2, 2, 2) = 3/4 x y z + 3/4 x y z + + 2 2 3 2 2 2 2 2 3 2 3 + + 9/8 z y x - 1/2 x y z - 9/8 x y z - 3/4 z y x - 3/4 z y x + + 3 + + 1/2 z y x ] + +> print_coeff__lc_of_data(%, "coeff_dyz_", "fp", +> "3d.coeffs/3d.cube.order2/coeff-dyz.compute.c"); +bytes used=2756828352, alloc=8976788, time=447.31 +bytes used=2757828584, alloc=8976788, time=447.39 +bytes used=2758828776, alloc=8976788, time=447.47 +bytes used=2759829544, alloc=8976788, time=447.56 +bytes used=2760829704, alloc=8976788, time=447.63 +bytes used=2761829908, alloc=8976788, time=447.71 +bytes used=2762830320, alloc=8976788, time=447.84 +bytes used=2763830692, alloc=8976788, time=447.97 +bytes 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time=523.35 +> +# d^2/dz^2 +> simplify( diff(interp_3d_cube_order2,z,z) ); +bytes used=3060308524, alloc=8976788, time=523.50 +bytes used=3061308696, alloc=8976788, time=523.58 +bytes used=3062308824, alloc=8976788, time=523.68 +bytes used=3063309208, alloc=8976788, time=523.76 +bytes used=3064310268, alloc=8976788, time=523.85 +bytes used=3065310540, alloc=8976788, time=523.94 +bytes used=3066310680, alloc=8976788, time=524.02 +bytes used=3067310812, alloc=8976788, time=524.11 +bytes used=3068311680, alloc=8976788, time=524.20 +bytes used=3069311884, alloc=8976788, time=524.28 +bytes used=3070312008, alloc=8976788, time=524.37 + 2 2 +- 9/2 y z DATA(0, 1, 1) - 5 y DATA(0, 0, -1) - y DATA(0, 2, -1) + + 2 2 2 2 2 + - 2 y DATA(0, 2, 1) - 20 x y DATA(0, 1, 1) + 25 x y DATA(0, 0, 1) + + 2 3 2 3 + - 15 y x DATA(0, 0, 1) - 15/2 y x DATA(0, 0, -1) + + + 1/2 x y DATA(-1, -1, -1) - y DATA(0, -1, -1) - 2 y DATA(0, -1, 1) + + 2 2 + + y DATA(0, 1, -1) + 2 y DATA(0, 1, 1) - 45 x y z DATA(0, 1, 0) + + 2 2 2 2 + + 18 x y z DATA(1, -1, 0) + 6 x y z DATA(1, -1, 2) + + 2 2 2 2 + + 18 x y z DATA(-1, 1, 0) + 15 x y z DATA(1, 0, -1) + + 2 2 2 2 + + 3 x y z DATA(1, 2, -1) + 9 x y z DATA(1, 2, 1) + + 2 3 2 + + 12 y x DATA(0, 1, 1) + 3/4 x y z DATA(2, -1, 2) + + 2 2 + - 3/4 x y z DATA(2, 1, 2) - 45/4 x y z DATA(0, 1, 0) + + 2 2 + + 9/2 x y z DATA(-1, 1, 0) - 9 x y z DATA(1, -1, 0) + + 2 2 + - 3 x y z DATA(1, -1, 2) + 3/2 x y z DATA(-1, 1, 2) + + 2 2 + - 9/4 x y z DATA(2, 1, 0) + 9 x y z DATA(1, 1, 0) + + 2 2 + + 3 x y z DATA(1, 1, 2) + 9/4 x y z DATA(2, -1, 0) + + 2 2 + - 15/4 x y z DATA(0, 1, 2) + 45/4 x y z DATA(0, -1, 0) + + 2 2 + + 15/4 x y z DATA(0, -1, 2) - 9/2 x y z DATA(-1, -1, 0) + + 2 + - 3/2 x y z DATA(-1, -1, 2) + 9/4 x y z DATA(1, 1, 0) + + + 3/4 x y z DATA(1, 1, 2) - 9/4 x y z DATA(-1, 1, 0) + + - 9/4 x y z DATA(1, -1, 0) + 3/4 x y z DATA(-1, -1, 2) + + 2 2 2 2 + - 9 x y z DATA(1, 2, 0) + 9/2 x y z DATA(-1, 2, 1) + + 2 2 + - 45/4 x y z DATA(0, 2, 1) + 9/4 x y z DATA(-1, -1, 0) + + 2 2 2 + + x y DATA(-1, -1, 1) - 5 x y DATA(0, 1, 1) - 9 x y z DATA(2, 1, 0) + + 2 2 2 2 + + 36 x y z DATA(1, 1, 0) + 12 x y z DATA(1, 1, 2) + + 2 2 2 2 + + 15/2 x y z DATA(0, -1, -1) + 45/2 x y z DATA(0, -1, 1) + + 2 2 2 2 + - 18 x y z DATA(-1, 1, 1) + 3/2 x y z DATA(-1, 2, -1) + + 2 2 2 2 + + 75/4 x y z DATA(0, 0, 2) + 9 x y z DATA(-1, -1, 0) + + 2 2 2 2 + + 3 x y z DATA(-1, -1, 2) + 9/2 x y z DATA(2, -1, 1) + + 2 2 2 + + x y DATA(2, 2, 1) - 3/2 y z DATA(0, -1, 2) - 4 x y DATA(-1, 1, 1) + + 2 2 2 + - 2 x y DATA(-1, 1, -1) - 2 x y DATA(-1, -1, 1) - x y DATA(-1, -1, -1) + + 2 2 2 + + 2 x y DATA(1, 1, -1) + 2 x y DATA(1, -1, 1) - 5 x y DATA(1, 0, 1) + + 2 2 + + 3/2 y z DATA(0, 1, 2) - 9 x y z DATA(-1, -1, 1) + + 2 2 2 2 + - 6 x y z DATA(-1, 1, -1) - 3 x y z DATA(-1, -1, -1) + + 2 2 + - 9/2 y z DATA(0, -1, 0) - 18 x y z DATA(1, -1, 1) + + 2 2 + + 9/2 y z DATA(0, 1, 0) - 45/2 x y z DATA(-1, 0, 0) + + 2 2 2 2 + + 15/4 x y z DATA(2, 0, 2) - 15/4 x y z DATA(2, 0, -1) + + 2 2 2 + - 9/2 x y z DATA(-1, 2, 0) + 15/2 y z DATA(0, 0, -1) + + 2 2 2 + + 6 y z DATA(0, 1, 2) - 15/2 y z DATA(0, 0, 2) - 3/2 y z DATA(0, 2, 2) + + 2 2 2 + - 9/2 y z DATA(0, 2, 0) - 6 y z DATA(0, 1, -1) + 3 y z DATA(0, -1, 2) + + 2 2 2 + + 9 y z DATA(0, -1, 0) - 15/4 x y z DATA(0, 2, -1) + + 2 2 2 2 + + 15/2 x y z DATA(-1, 0, -1) + 45/2 x y z DATA(-1, 0, 1) + + 2 2 2 2 + - 3/2 x y z DATA(-1, 2, 2) - 3 x y z DATA(1, 2, 2) + + 2 2 2 + + 45/4 x y z DATA(2, 0, 0) - 3 y z DATA(0, -1, -1) + + 2 2 + + 18 y z DATA(0, 1, 0) + 45/2 y z DATA(0, 0, 1) + + 2 2 + - 45/2 y z DATA(0, 0, 0) - 18 y z DATA(0, 1, 1) + + 2 2 2 2 + + 45 x y z DATA(1, 0, 1) - 3/4 x y z DATA(2, 2, -1) + + 2 2 2 2 + - 15/2 x y z DATA(-1, 0, 2) - 15 x y z DATA(1, 0, 2) + + 2 2 2 + + 9/2 y z DATA(0, 2, 1) + 3/2 y z DATA(0, 2, -1) - 9 y z DATA(0, -1, 1) + + 2 2 + + 9/4 x y z DATA(-1, 2, 0) - 3/4 x y z DATA(-1, 2, -1) + + 2 2 + - 15/4 x y z DATA(1, 0, 2) + 15/4 x y z DATA(-1, 0, 2) + + 2 2 + + 45/4 x y z DATA(-1, 0, 0) - 3/4 x y z DATA(1, 2, 2) + + 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z y DATA(0, 1, 1) + + 3 3 + + 3/2 z y DATA(0, -1, -1) - 3/2 z y DATA(0, 2, -1) + + 3 3 3 + + 9/2 z y DATA(0, -1, 1) - 9/2 z y DATA(0, 0, -1) + 2 y DATA(0, 2, 1) + + 3 + + 3 y DATA(0, 0, -1) + +> coeff_as_lc_of_data(%, posn_list_3d_size4); +bytes used=3071352192, alloc=8976788, time=524.46 +bytes used=3072352456, alloc=8976788, time=524.54 +bytes used=3073480128, alloc=8976788, time=524.64 +bytes used=3074480516, alloc=8976788, time=524.73 +bytes used=3075480632, alloc=8976788, time=524.82 +bytes used=3076488524, alloc=8976788, time=524.91 +bytes used=3077529240, alloc=8976788, time=525.01 +bytes used=3078546664, alloc=8976788, time=525.11 +bytes used=3079546784, alloc=8976788, time=525.20 +bytes used=3080577924, alloc=8976788, time=525.31 +bytes used=3081580044, alloc=8976788, time=525.39 +bytes used=3082588304, alloc=8976788, time=525.45 +bytes used=3083596564, alloc=8976788, time=525.51 + 2 2 3 3 3 2 2 +[COEFF(-1, -1, -1) = -x y - x y + 1/2 y x + 1/2 x y + 1/2 y x - 3 x y z + + 3 2 3 2 3 3 2 3 + + 3/2 z y x + 1/2 y x - y x - y x - 3/4 x y z - 3/4 z y x + + 3 2 2 3 3 2 2 + - 3/4 z y x + 2 x y - 3/4 z y x + 3/2 x y z + 3/2 x y z + + 2 3 2 2 2 2 3 3 + + 3/2 z y x , COEFF(0, -1, -1) = 15/2 x y z + 2 y + 3 y x + 3/2 z y + + 3 2 3 2 2 2 3 + - y + 5/2 x y - 15/4 z y x - 15/4 x y z - 9/2 z y x + 3/2 y z + + 2 3 3 3 3 2 3 3 3 + - 3 y z + 9/4 z y x - 3/2 y x + 5/2 y x + 9/4 z y x - 3/2 y x - y + + 2 2 3 2 2 2 + - 5 x y , COEFF(1, -1, -1) = 3 z y x - 6 x y z - 1/2 x y + 3/4 x y z + + 2 3 3 2 3 3 3 3 2 + + 9/2 z y x - 1/2 y x + x y - 9/4 z y x - 9/4 z y x - 2 y x + + 2 3 2 3 3 2 2 3 + - 2 x y + 3/2 y x + 3 x y z + 3/2 y x + 4 x y + 3/4 z y x + + 2 2 3 2 2 2 2 3 + - 3/2 x y z - 3 y x , COEFF(2, -1, -1) = 1/2 x y + 3/2 x y z + y x + + 3 3 3 2 3 2 2 3 2 2 + + 3/4 z y x - 1/2 y x - 3/4 x y z - 3/4 z y x - 3/2 z y x - x y + + 3 3 3 3 2 + - 1/2 y x + 3/4 z y x + 1/2 y x , COEFF(-1, 0, -1) = 3/2 x z + + 2 3 3 3 2 3 2 3 + - 15/4 x y z - 3/2 y x + 9/4 z y x + 5/2 y x - 15/4 z y x + + 2 2 3 3 2 2 2 2 2 2 + + 15/2 x y z + 3/2 z x + 3 y x - 5 x y + 5/2 x y - 3 x z + 2 x + + 3 3 3 3 3 2 + - x + 9/4 z y x - 3/2 y x - x - 9/2 z y x , COEFF(0, 0, -1) = + + 3 2 2 2 3 3 3 3 2 3 2 + 45/4 z y x - 75/4 x y z - 27/4 z y x + 9/2 y x - 5 x + 3 x - 5 y + + 3 2 2 3 2 3 2 + - 9/2 z x + 2 - 3 z + 25/2 x y + 3 y + 15/2 x z - 15/2 y x + + 2 2 3 3 2 3 + + 15/2 y z - 15/2 y x - 9/2 z y + 45/4 z y x , COEFF(1, 0, -1) = + + 2 2 2 3 3 2 3 2 3 3 + - 5/2 x y + 15/4 x y z + 15/2 y x + 6 y x - 9 z y x - 9/2 y x + + 3 3 3 2 2 2 3 2 3 + + 27/4 z y x - 3 x - 10 x y - 45/4 z y x + x - 6 x z + 3/2 y x + + 2 3 2 2 3 + + 4 x - 9/4 z y x + 15 x y z - 3/2 x z + 9/2 z x , COEFF(2, 0, -1) = + + 3 2 2 3 3 3 2 3 2 2 + 9/4 z y x - x - 9/4 z y x - 3/2 z x - 5/2 y x - 15/4 x y z + + 3 2 3 3 3 2 2 3 2 2 + - 3/2 y x + x + 3/2 y x + 3/2 x z + 15/4 z y x + 5/2 x y , + + 2 2 3 3 2 2 + COEFF(-1, 1, -1) = -2 x y + 3 z y x + 3/4 z y x - 6 x y z + 3/4 x y z + + 3 3 3 3 2 3 3 2 2 + + 3/2 y x - 9/4 z y x + 3 x y z + 3/2 y x - 1/2 y x + 4 x y + + 3 2 2 3 2 2 3 2 + - 3 y x - 2 y x - 1/2 x y + x y - 3/2 x y z + 9/2 z y x + + 3 3 2 3 3 2 + - 9/4 z y x, COEFF(0, 1, -1) = 15/2 y x + 9/2 z y - 45/4 z y x + + 3 3 2 2 2 2 3 3 2 + - 9/2 y x + 15/4 x y z + 15 x y z + 6 y x - 3 y - 6 y z + + 3 2 3 3 3 3 2 + - 9/4 z y x + y - 9 z y x - 3/2 y z + 27/4 z y x + 3/2 y x + 4 y + + 2 2 2 2 3 3 2 + - 10 x y - 5/2 x y, COEFF(1, 1, -1) = -6 y x + 9/4 z y x - 3 x y z + + 2 3 3 2 3 2 2 2 3 + - 3/4 x y z + 9 z y x - 6 y x + 9 z y x + 2 x y + 2 x y - 3/2 y x + + 2 2 3 3 3 2 3 2 2 + + 8 x y - 3/2 y x - 27/4 z y x - 3 x y z + 9/4 z y x - 12 x y z + + 3 3 3 2 2 + + 9/2 y x + 1/2 x y, COEFF(2, 1, -1) = 3/2 y x - 1/2 x y + + 3 3 2 2 2 3 2 2 2 3 + + 9/4 z y x + 3 x y z + 3/4 x y z - 9/4 z y x - 2 x y + 1/2 y x + + 2 3 3 3 3 2 3 + - 3 z y x - 3/4 z y x - 3/2 y x + 2 y x , COEFF(-1, 2, -1) = + + 2 2 2 3 3 2 3 2 3 3 + 1/2 x y - 3/4 x y z - 3/4 z y x - 3/2 z y x + y x + 3/4 z y x + + 3 3 3 2 2 2 2 2 3 3 + + 3/4 z y x - 1/2 y x + 3/2 x y z - x y + 1/2 y x - 1/2 y x, + + 3 2 3 3 3 3 2 2 + COEFF(0, 2, -1) = y - 3/2 y x - 9/4 z y x - 3/2 z y + 5/2 x y + + 3 2 2 2 2 3 2 2 2 3 + - 5/2 y x - 15/4 x y z + 3/2 y z + 15/4 z y x - y + 9/4 z y x + + 3 3 3 3 2 2 2 3 2 + + 3/2 y x , COEFF(1, 2, -1) = - 3/2 y x - 2 x y - 1/2 x y + 2 y x + + 2 3 3 3 2 2 3 3 + - 9/4 z y x + 9/4 z y x + 3 x y z - 3/4 z y x + 1/2 y x + + 2 2 3 3 2 2 2 + + 3/4 x y z + 3/2 y x - 3 z y x , COEFF(2, 2, -1) = - 3/4 x y z + + 3 2 3 3 2 3 3 3 3 2 + - 1/2 y x + 1/2 y x + 3/4 z y x - 3/4 z y x + 3/4 z y x + + 2 3 2 2 3 2 3 + - 1/2 y x + 1/2 x y , COEFF(-1, -1, 0) = - 9/2 z y x - 5/4 y x + + 2 3 2 3 2 3 3 3 3 2 2 + + 5/2 y x - 9/2 z y x - 9/2 x y z - 5/4 y x + 9/4 z y x - 5 x y + + 3 3 2 2 2 2 + - 5/4 x y - 5/4 y x + 9/4 z y x + 5/2 x y + 9 x y z - 9/2 x y z + + 2 3 3 2 + + 5/2 x y + 9/4 z y x + 9/4 x y z + 5/2 y x , COEFF(0, -1, 0) = + + 3 3 3 3 2 3 + - 9/2 y z - 27/4 z y x - 9/2 z y - 27/4 z y x + 27/2 z y x + + 3 2 2 3 2 3 3 2 2 + + 45/4 z y x + 9 y z - 25/4 y x + 15/4 y x - 5 y - 25/4 x y + + 2 2 3 2 3 2 3 + - 45/2 x y z + 15/4 y x + 45/4 x y z + 5/2 y - 15/2 y x + + 2 2 3 2 2 2 3 3 + + 25/2 x y + 5/2 y, COEFF(1, -1, 0) = 5 y x - 10 x y + 27/4 z y x + + 3 3 3 3 2 2 2 + - 15/4 y x + 5/4 y x + 27/4 z y x + 5 x y - 5/2 x y + 9/2 x y z + + 2 2 3 3 2 3 + + 5/4 x y - 9/4 x y z - 9 x y z - 27/2 z y x - 9 z y x - 9/4 z y x + + 2 3 2 2 3 3 3 + + 15/2 y x + 18 x y z - 15/4 y x , COEFF(2, -1, 0) = 5/4 y x + + 2 3 3 3 2 3 2 2 3 + + 9/4 x y z - 9/4 z y x + 5/4 y x + 9/4 z y x - 5/4 y x - 5/2 y x + + 2 2 2 2 3 3 2 3 2 + + 5/2 x y - 9/2 x y z - 9/4 z y x + 9/2 z y x - 5/4 x y, + + 2 3 3 3 3 3 + COEFF(-1, 0, 0) = 9 x z + 5/2 x + 15/4 y x - 27/4 z y x - 27/4 z y x + + 3 3 3 2 3 2 2 3 + - 9/2 z x + 15/4 y x - 25/4 x y - 15/2 y x + 45/4 z y x + + 2 2 2 2 3 3 2 + - 45/2 x y z + 45/4 x y z - 25/4 y x + 5/2 x + 27/2 z y x + + 2 2 2 3 2 3 + + 25/2 x y - 9/2 x z - 5 x , COEFF(0, 0, 0) = 75/4 y x - 15/2 y + + 2 2 2 3 2 3 3 + - 45/2 y z + 225/4 x y z - 5 - 135/4 z y x + 81/4 z y x + + 2 2 2 3 2 3 3 2 3 + - 125/4 x y - 135/4 z y x + 75/4 y x + 27/2 z x + 25/2 y - 15/2 x + + 2 3 3 3 2 + - 45/2 x z + 9 z - 45/4 y x + 27/2 z y + 25/2 x , COEFF(1, 0, 0) = + + 2 2 2 2 3 3 3 2 + - 45/4 x y z + 25 x y + 25/4 x y - 27/2 z x + 27/4 z y x + 27 z y x + + 2 3 2 2 3 3 3 + + 135/4 z y x + 9/2 x z - 45 x y z - 15/4 y x + 45/4 y x + + 2 3 3 3 2 3 3 2 2 + - 75/4 y x - 81/4 z y x - 5/2 x + 18 x z + 15/2 x - 15 y x - 10 x + + 3 2 3 3 2 2 2 + , COEFF(2, 0, 0) = 9/2 z x - 9/2 x z - 15/4 y x + 45/4 x y z + 5/2 x + + 3 2 3 3 3 2 2 3 2 3 + - 27/4 z y x + 27/4 z y x + 15/4 y x + 25/4 y x - 45/4 z y x + + 3 2 2 2 2 + - 5/2 x - 25/4 x y , COEFF(-1, 1, 0) = 5/4 x y - 10 x y - 9/4 x y z + + 2 3 3 2 2 3 2 + - 9 z y x + 5/4 y x + 9/2 x y z - 9 x y z - 27/2 z y x + + 3 3 2 3 3 2 2 3 2 2 + + 27/4 z y x + 5 x y - 15/4 y x - 5/2 x y + 5 y x + 18 x y z + + 3 3 2 3 3 + - 15/4 y x + 15/2 y x + 27/4 z y x - 9/4 z y x , COEFF(0, 1, 0) = + + 2 3 2 2 3 3 3 2 3 + 27 z y x + 25 x y + 15/2 y - 15/4 y x + 135/4 z y x + 27/4 z y x + + 2 2 2 3 3 3 3 + + 18 y z - 45/4 x y z - 15 y x - 5/2 y - 27/2 z y + 45/4 y x + + 2 2 2 2 3 2 3 3 + + 9/2 y z - 10 y + 25/4 x y - 45 x y z - 75/4 y x - 81/4 z y x , + + 2 3 3 2 2 2 3 3 + COEFF(1, 1, 0) = 15 y x + 15/4 y x + 36 x y z + 9 x y z - 45/4 y x + + 3 2 3 3 3 2 2 2 2 + + 15 y x + 81/4 z y x - 27/4 z y x - 5 x y - 20 x y - 5 x y + + 3 2 3 2 2 3 + + 15/4 y x + 9 x y z - 5/4 x y - 27 z y x - 27 z y x + 9/4 x y z + + 3 2 2 3 3 + - 27/4 z y x , COEFF(2, 1, 0) = 5/4 x y + 9 z y x + 9/4 z y x + + 3 2 2 2 3 3 2 3 3 2 + - 15/4 y x + 5 x y + 15/4 y x - 9/4 x y z - 5/4 y x + 27/4 z y x + + 2 2 3 3 2 3 2 + - 9 x y z - 27/4 z y x - 5 y x , COEFF(-1, 2, 0) = 9/4 x y z + + 3 3 2 2 2 2 3 3 3 + - 9/4 z y x - 5/4 x y - 9/2 x y z - 5/4 y x + 5/4 y x + + 3 2 2 2 3 3 2 3 2 + - 9/4 z y x + 5/2 x y + 9/4 z y x - 5/2 y x + 9/2 z y x + + 3 2 3 3 3 2 + + 5/4 y x, COEFF(0, 2, 0) = 5/2 y + 27/4 z y x - 5/2 y - 9/2 y z + + 3 2 3 3 3 2 2 2 2 + + 25/4 y x - 15/4 y x + 9/2 z y + 45/4 x y z - 25/4 x y + + 2 3 3 2 2 3 2 2 + + 15/4 y x - 45/4 z y x - 27/4 z y x , COEFF(1, 2, 0) = -9 x y z + + 2 3 3 3 3 3 2 2 2 + - 15/4 y x - 27/4 z y x - 5/4 y x - 5 y x - 9/4 x y z + 5/4 x y + + 2 2 2 3 3 3 3 3 2 + + 5 x y + 27/4 z y x + 9/4 z y x + 15/4 y x + 9 z y x , + + 2 3 3 2 2 2 3 3 + COEFF(2, 2, 0) = 5/4 y x - 9/4 z y x + 9/4 x y z - 5/4 y x + + 2 3 3 2 2 2 3 3 + - 9/4 z y x + 5/4 y x - 5/4 x y + 9/4 z y x , COEFF(-1, -1, 1) = + + 2 2 2 3 3 3 3 3 + x y + 4 x y - 2 x y - 9/4 z y x - 9/4 z y x + y x - 9/4 z y x + + 2 2 3 2 3 2 3 2 3 + - 9 x y z + 9/2 z y x - 2 y x + y x - 9/4 x y z - 2 y x + + 2 2 3 3 2 3 2 + + 9/2 x y z - 2 x y + y x + 9/2 z y x + 9/2 x y z, COEFF(0, -1, 1) + + 2 2 3 2 3 3 2 + = -9 y z + 5 x y + 27/4 z y x + 6 y x + 9/2 z y - 2 y - 45/4 x y z + + 3 2 2 3 2 2 3 3 2 2 + + 5 y x - 27/2 z y x + 45/2 x y z - 3 y x - 2 y - 10 x y + + 3 2 2 3 3 3 3 + - 45/4 z y x + 9/2 y z + 4 y - 3 y x + 27/4 z y x , COEFF(1, -1, 1) + + 2 3 3 3 2 2 2 2 + = -4 x y - x y - 27/4 z y x + 9 z y x + 8 x y + 2 x y + + 3 2 3 2 2 3 2 3 + - 27/4 z y x - 6 y x + 9/4 x y z - 18 x y z - y x + 27/2 z y x + + 2 3 3 3 3 2 3 2 + - 9/2 x y z + 3 y x + 3 y x + 9/4 z y x + 9 x y z - 4 y x , + + 2 3 3 2 2 3 2 2 2 + COEFF(2, -1, 1) = x y - y x + 9/4 z y x + 9/2 x y z + y x - 2 x y + + 3 3 2 3 2 3 3 3 3 2 2 + + 9/4 z y x - 9/2 z y x + 2 y x - y x - 9/4 z y x - 9/4 x y z, + + 2 3 2 3 2 2 + COEFF(-1, 0, 1) = 5 y x - 45/4 x y z + 9/2 z x + 9/2 x z + 45/2 x y z + + 3 3 2 3 2 3 2 3 2 + - 2 x - 3 y x + 6 y x - 27/2 z y x - 2 x - 45/4 z y x + 5 x y + + 3 3 2 3 3 3 2 2 2 + - 3 y x + 4 x + 27/4 z y x + 27/4 z y x - 9 x z - 10 x y , + + 3 3 2 2 3 2 2 + COEFF(0, 0, 1) = 9 y x - 225/4 x y z + 135/4 z y x + 45/2 x z + 4 + + 3 3 2 2 3 2 3 3 2 + - 27/2 z x - 15 y x - 15 y x - 9 z - 10 x + 6 x + 6 y + 45/2 y z + + 3 3 2 2 3 3 2 2 + - 81/4 z y x - 10 y + 135/4 z y x - 27/2 z y + 25 x y , + + 2 3 3 2 2 3 + COEFF(1, 0, 1) = - 135/4 z y x + 3 y x - 20 x y + 27/2 z x + + 2 2 3 3 2 2 3 2 3 + + 45 x y z - 9 y x - 18 x z + 45/4 x y z - 27/4 z y x + 15 y x + + 3 2 3 3 2 3 2 2 + - 9/2 x z + 12 y x + 81/4 z y x + 8 x - 27 z y x - 5 x y + 2 x + + 3 2 2 3 2 2 + - 6 x , COEFF(2, 0, 1) = - 45/4 x y z + 27/4 z y x + 9/2 x z + + 3 3 3 2 3 3 2 2 3 2 2 + - 9/2 z x + 3 y x - 2 x + 2 x - 3 y x + 45/4 z y x + 5 x y + + 3 3 2 3 3 3 + - 27/4 z y x - 5 y x , COEFF(-1, 1, 1) = - 27/4 z y x + 9/4 x y z + + 2 3 3 2 3 3 2 2 2 3 + + 2 x y + 9/4 z y x + 3 y x + 9 z y x - 6 y x - 18 x y z - y x + + 2 3 2 3 3 2 3 2 2 + - 4 y x + 9 x y z + 3 y x - x y - 9/2 x y z + 27/2 z y x - 4 x y + + 3 2 2 2 3 2 2 + - 27/4 z y x + 8 x y , COEFF(0, 1, 1) = - 9/2 y z + 12 y x - 20 x y + + 2 2 3 2 2 3 2 2 3 + + 45 x y z + 15 y x + 45/4 x y z + 3 y x - 5 x y - 27 z y x + + 2 3 3 3 3 3 3 2 3 + + 8 y + 81/4 z y x - 9 y x - 27/4 z y x - 135/4 z y x + 2 y - 6 y + + 3 2 3 2 2 3 3 + + 27/2 z y - 18 y z, COEFF(1, 1, 1) = 27 z y x + 4 x y + 9 y x + + 2 3 2 3 2 3 2 3 + - 9 x y z - 3 y x - 12 y x - 9 x y z + 27/4 z y x + 27 z y x + + 2 3 3 3 2 3 2 2 3 + + 4 x y - 81/4 z y x - 12 y x - 3 y x + 16 x y + 27/4 z y x + + 2 2 3 2 + - 36 x y z - 9/4 x y z + x y, COEFF(2, 1, 1) = - 27/4 z y x + + 3 3 3 3 2 2 3 2 3 2 + - 9/4 z y x + 27/4 z y x + 3 y x + 4 y x - 9 z y x - x y + + 2 2 2 2 2 3 3 3 + + 9/4 x y z - 4 x y + 9 x y z + y x - 3 y x , COEFF(-1, 2, 1) = + + 3 2 2 3 2 2 2 3 3 2 3 3 3 + -y x - 2 x y - 9/2 z y x + 9/2 x y z + 9/4 z y x + y x - y x + + 2 3 2 3 2 2 3 + - 9/4 z y x - 9/4 x y z + 2 y x + x y + 9/4 z y x, COEFF(0, 2, 1) + + 2 3 3 2 2 2 2 2 3 3 + = 27/4 z y x + 45/4 z y x + 5 x y - 2 y + 9/2 y z + 3 y x + + 3 3 2 2 3 3 2 3 3 2 + - 9/2 z y + 2 y - 45/4 x y z - 27/4 z y x - 3 y x - 5 y x , + + 2 2 3 3 2 2 3 + COEFF(1, 2, 1) = -x y + 9/4 x y z + y x + 4 y x - 27/4 z y x + + 2 2 3 2 2 2 3 3 3 3 3 + - 4 x y - 9/4 z y x + 9 x y z + 3 y x - 3 y x + 27/4 z y x + + 3 2 2 2 2 3 3 3 2 2 + - 9 z y x , COEFF(2, 2, 1) = - 9/4 x y z - y x + y x + x y + + 3 2 2 3 3 2 3 3 + - y x + 9/4 z y x + 9/4 z y x - 9/4 z y x , COEFF(-1, -1, 2) = + + 3 2 2 3 2 2 3 3 + 3/4 z y x + 3 x y z + 3/4 x y z - 3/2 z y x - 3/2 x y z + 3/4 z y x + + 3 2 3 2 3 2 2 + + 3/4 z y x - 3/2 x y z + 1/2 y x - 1/4 y x + 1/2 x y + 1/2 x y + + 2 3 2 3 3 3 3 2 2 + - 1/4 x y + 1/2 y x - 3/2 z y x - 1/4 y x - 1/4 y x - x y , + + 3 3 3 3 2 3 3 + COEFF(0, -1, 2) = 3/4 y x - 3/2 z y + 3/4 y x - 5/4 x y - 9/4 z y x + + 2 3 2 2 2 3 3 2 + + 3 y z + 15/4 z y x + 15/4 x y z - 3/2 y x - 3/2 y z - 5/4 y x + + 2 2 2 3 2 2 2 3 + - y - 15/2 x y z + 1/2 y + 5/2 x y + 9/2 z y x + 1/2 y + + 3 2 2 3 2 3 3 3 + - 9/4 z y x , COEFF(1, -1, 2) = 6 x y z + y x - 3/4 y x + 1/4 y x + + 2 2 2 3 3 3 2 3 + - 3 x y z - 2 x y + 9/4 z y x + 9/4 z y x + x y - 3/4 y x + + 2 3 2 2 3 + - 3/4 x y z + 3/2 y x - 1/2 x y + 3/2 x y z + 1/4 x y - 3/4 z y x + + 3 2 2 3 2 2 3 + - 3 z y x - 9/2 z y x , COEFF(2, -1, 2) = 3/4 x y z + 3/2 z y x + + 2 2 2 3 3 3 2 2 + - 3/2 x y z - 1/4 x y - 3/4 z y x - 3/4 z y x + 1/2 x y + + 3 2 3 3 3 2 3 3 2 + + 3/4 z y x + 1/4 y x + 1/4 y x - 1/2 y x - 1/4 y x , + + 2 3 2 3 3 2 2 + COEFF(-1, 0, 2) = 15/4 z y x - 5/4 y x + 9/2 z y x - 3/2 x z - x + + 2 2 2 3 2 3 2 2 2 + - 15/2 x y z + 3 x z - 3/2 z x + 15/4 x y z - 3/2 y x + 5/2 x y + + 3 3 3 3 3 3 3 + + 1/2 x + 1/2 x - 9/4 z y x + 3/4 y x - 9/4 z y x + 3/4 y x + + 2 2 3 3 2 3 + - 5/4 x y , COEFF(0, 0, 2) = - 15/2 x z + 27/4 z y x + 15/4 y x + + 3 2 2 3 3 2 2 3 2 + - 3/2 x + 75/4 x y z + 9/2 z x - 45/4 z y x - 45/4 z y x + 5/2 x + + 3 2 2 3 2 3 + + 3 z - 1 + 15/4 y x - 15/2 y z - 3/2 y + 5/2 y + 9/2 z y + + 3 3 2 2 3 2 2 + - 9/4 y x - 25/4 x y , COEFF(1, 0, 2) = - 3/4 y x + 3/2 x z + 5 x y + + 2 3 3 3 2 3 2 2 + + 6 x z - 1/2 x + 9/4 z y x - 27/4 z y x - 2 x + 3/2 x - 15 x y z + + 2 2 2 3 3 2 3 2 3 + + 5/4 x y - 15/4 x y z - 15/4 y x - 3 y x + 9 z y x - 9/2 z x + + 2 3 3 3 2 2 2 3 + + 45/4 z y x + 9/4 y x , COEFF(2, 0, 2) = 15/4 x y z + 5/4 y x + + 3 2 2 3 2 3 3 2 2 3 + - 9/4 z y x - 3/2 x z + 3/4 y x - 3/4 y x - 5/4 x y + 3/2 z x + + 3 2 3 3 3 2 2 + - 1/2 x - 15/4 z y x + 9/4 z y x + 1/2 x , COEFF(-1, 1, 2) = x y + + 2 2 2 2 3 3 3 + - 1/2 x y + 6 x y z + y x + 1/4 y x - 3/4 x y z + 9/4 z y x + + 3 3 3 3 2 2 3 2 + - 3/4 y x - 3/4 y x - 3/4 z y x - 2 x y + 1/4 x y - 9/2 z y x + + 2 3 2 2 3 3 3 2 + - 3 z y x + 3/2 x y z - 3 x y z + 9/4 z y x + 3/2 y x , + + 2 2 2 3 3 + COEFF(0, 1, 2) = 3/2 y z + 5/4 x y - 15 x y z - 1/2 y + 9/4 y x + + 3 2 3 3 3 2 2 3 2 + + 45/4 z y x - 9/2 z y - 27/4 z y x - 15/4 x y z - 3 y x + 6 y z + + 3 2 2 2 3 2 3 3 3 2 + + 9/4 z y x + 5 x y + 9 z y x - 2 y - 3/4 y x + 3/2 y - 15/4 y x + + 2 2 2 3 3 + , COEFF(1, 1, 2) = 3 x y z + 12 x y z + 27/4 z y x + 3/4 x y z + + 3 2 3 3 3 2 2 3 2 + + 3/4 y x + 3 x y z - 9/4 y x + 3/4 y x - x y - 9 z y x - x y + + 3 3 2 3 2 2 2 3 + - 9/4 z y x - 9 z y x - 9/4 z y x - 1/4 x y - 4 x y + 3 y x + + 3 2 3 2 3 3 3 3 2 3 + + 3 y x , COEFF(2, 1, 2) = 9/4 z y x - 9/4 z y x + 3/4 y x - y x + + 2 2 2 3 2 2 3 2 2 2 + + 1/4 x y - 3 x y z - 3/4 y x + 3 z y x + x y - 3/4 x y z + + 3 3 2 2 3 + - 1/4 y x + 3/4 z y x , COEFF(-1, 2, 2) = - 3/2 x y z - 3/4 z y x + + 3 3 2 2 2 2 3 3 2 + - 3/4 z y x + 3/4 x y z - 1/4 x y + 1/2 x y + 1/4 y x + 3/2 z y x + + 3 2 2 3 3 3 2 3 + - 1/2 y x - 1/4 y x + 1/4 y x + 3/4 z y x , COEFF(0, 2, 2) = + + 3 3 3 2 3 3 2 2 2 2 + 3/2 z y - 3/4 y x + 3/4 y x - 15/4 z y x - 3/2 y z + 15/4 x y z + + 3 3 3 2 2 3 2 2 3 2 + + 9/4 z y x + 5/4 y x - 9/4 z y x - 5/4 x y - 1/2 y + 1/2 y , + + 3 3 2 3 2 2 2 + COEFF(1, 2, 2) = 3/4 y x + 9/4 z y x - 3/4 x y z - 3 x y z + + 3 3 2 2 3 3 2 3 3 2 + + 3/4 z y x + 3 z y x - 3/4 y x - y x - 9/4 z y x + 1/4 x y + + 3 2 2 3 2 3 3 3 3 + - 1/4 y x + x y , COEFF(2, 2, 2) = 1/4 y x - 1/4 y x + 3/4 z y x + + 2 3 2 3 2 2 2 2 3 2 + + 1/4 y x - 3/4 z y x + 3/4 x y z - 1/4 x y - 3/4 z y x ] + +> print_coeff__lc_of_data(%, "coeff_dzz_", "fp", +> "3d.coeffs/3d.cube.order2/coeff-dzz.compute.c"); +bytes used=3084596912, alloc=8976788, time=525.59 +bytes used=3085597064, alloc=8976788, time=525.67 +bytes used=3086597600, alloc=8976788, time=525.76 +bytes 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time=580.19 +bytes used=3304002664, alloc=8976788, time=580.38 +bytes used=3305002892, alloc=8976788, time=580.56 +bytes used=3306003136, alloc=8976788, time=580.69 +bytes used=3307003328, alloc=8976788, time=581.96 +bytes used=3308003548, alloc=8976788, time=585.41 +bytes used=3309003760, alloc=8976788, time=586.85 +bytes used=3310004476, alloc=8976788, time=587.73 +bytes used=3311005348, alloc=8976788, time=587.99 +bytes used=3312005696, alloc=8976788, time=588.12 +bytes used=3313005868, alloc=8976788, time=588.19 +bytes used=3314006048, alloc=8976788, time=588.33 +bytes used=3315006216, alloc=8976788, time=588.49 +> +################################################################################ +> +# +# 3d, cube, polynomial order=3, derivatives via 5-point order=4 formula +# ==> overall order=3, 6-point molecule +# +> +# interpolating polynomial +> interp_3d_cube_order3 +> := Hermite_polynomial_interpolant(fn_3d_order3, +> coeff_set_3d_order3, +> [x,y,z], +> { +> {x} = deriv_3d_dx_5point, +> {y} = deriv_3d_dy_5point, +> {z} = deriv_3d_dz_5point, +> {x,y} = deriv_3d_dxy_5point, +> {x,z} = deriv_3d_dxz_5point, +> {y,z} = deriv_3d_dyz_5point, +> {x,y,z} = deriv_3d_dxyz_5point +> }, +> {op(posn_list_3d_size2)}, +> {op(posn_list_3d_size2)}); +bytes used=3316006676, alloc=8976788, time=588.65 +bytes used=3317008816, alloc=8976788, time=588.88 +bytes used=3318009828, alloc=8976788, time=588.98 +bytes used=3319014424, alloc=8976788, time=589.07 +bytes used=3320016084, alloc=8976788, time=589.17 +bytes used=3321028900, alloc=8976788, time=589.26 +bytes used=3322030792, alloc=8976788, time=589.35 +bytes used=3323031164, alloc=8976788, time=589.44 +bytes used=3324062048, alloc=8976788, time=589.53 +bytes used=3325065892, alloc=8976788, time=589.61 +bytes used=3326066060, alloc=8976788, time=589.71 +bytes used=3327066400, alloc=8976788, time=589.79 +bytes used=3328083444, alloc=8976788, time=589.88 +bytes used=3329095060, alloc=8976788, time=589.97 +bytes used=3330126852, alloc=8976788, time=590.05 +bytes used=3331128768, alloc=8976788, time=590.15 +bytes used=3332129760, alloc=8976788, time=590.24 +bytes used=3333130312, alloc=8976788, time=590.32 +bytes used=3334140372, alloc=8976788, time=590.41 +bytes used=3335148204, alloc=8976788, time=590.51 +bytes used=3336152584, alloc=8976788, time=590.60 +bytes used=3337156192, alloc=8976788, time=590.70 +bytes used=3338197940, alloc=8976788, time=590.81 +bytes used=3339199664, alloc=8976788, time=590.90 +bytes used=3340205736, alloc=8976788, time=591.00 +bytes used=3341206368, alloc=8976788, time=591.10 +bytes used=3342209240, alloc=8976788, time=591.20 +bytes used=3343209932, alloc=8976788, time=591.31 +bytes used=3344215500, alloc=8976788, time=591.41 +bytes used=3345218428, alloc=8976788, time=591.52 +bytes used=3346218564, alloc=8976788, time=591.62 +bytes used=3347278436, alloc=8976788, time=591.74 +bytes used=3348285556, alloc=8976788, time=591.86 +bytes used=3349286984, alloc=8976788, time=591.97 +bytes used=3350288532, alloc=8976788, time=592.09 +bytes used=3351288916, alloc=8976788, time=592.20 +bytes used=3352290772, alloc=8976788, time=592.31 +bytes used=3353293228, alloc=8976788, time=592.43 +bytes used=3354293864, alloc=8976788, time=592.55 +bytes used=3355297220, alloc=8976788, time=592.67 +bytes used=3356298128, alloc=8976788, time=592.79 +bytes used=3357298436, alloc=8976788, time=592.90 +bytes used=3358299748, alloc=8976788, time=593.02 +bytes used=3359301508, alloc=8976788, time=593.15 +bytes used=3360302184, alloc=8976788, time=593.27 +bytes used=3361305844, alloc=8976788, time=593.40 +bytes used=3362307004, alloc=8976788, time=593.52 +bytes used=3363309444, alloc=8976788, time=593.65 +bytes used=3364312572, alloc=8976788, time=593.79 +bytes used=3365322060, alloc=8976788, time=593.90 +bytes used=3366324236, alloc=8976788, time=594.04 +bytes used=3367326324, alloc=8976788, time=594.17 +bytes used=3368328868, alloc=8976788, time=594.30 +bytes used=3369330428, alloc=8976788, time=594.43 +bytes used=3370330756, alloc=8976788, time=594.59 +bytes used=3371340548, alloc=8976788, time=594.72 +bytes used=3372340700, alloc=8976788, time=594.81 +bytes used=3373341220, alloc=8976788, time=594.91 +bytes used=3374341708, alloc=8976788, time=595.00 +bytes used=3375342176, alloc=8976788, time=595.09 +bytes used=3377755500, alloc=8976788, time=595.19 +interp_3d_cube_order3 := (1/12 DATA(0, 0, -2) - 2/3 DATA(0, 0, -1) + + + 2/3 DATA(0, 0, 1) - 1/12 DATA(0, 0, 2)) z + (- 14/9 DATA(0, 0, 1) + + + 10/9 DATA(0, 1, 1) - 1/9 DATA(0, -2, 1) + 5/36 DATA(0, 1, -2) + + + 5/48 DATA(0, -1, -2) - 7/36 DATA(0, 0, -2) - 1/24 DATA(0, 2, -2) + + + 1/144 DATA(0, 3, -2) - 1/72 DATA(0, -2, -2) - 5/6 DATA(0, -1, -1) + + + 5/6 DATA(0, -1, 1) + 1/3 DATA(0, 2, -1) - 1/3 DATA(0, 2, 1) + + + 14/9 DATA(0, 0, -1) - 10/9 DATA(0, 1, -1) + 1/24 DATA(0, 2, 2) + + + 7/36 DATA(0, 0, 2) - 5/36 DATA(0, 1, 2) - 5/48 DATA(0, -1, 2) + + - 1/18 DATA(0, 3, -1) - 1/144 DATA(0, 3, 2) + 1/18 DATA(0, 3, 1) + + 2 + + 1/9 DATA(0, -2, -1) + 1/72 DATA(0, -2, 2)) y z + (1/144 DATA(0, -2, -2) + + - 1/18 DATA(0, -2, -1) + 1/18 DATA(0, -2, 1) - 1/144 DATA(0, -2, 2) + + - 1/18 DATA(0, -1, -2) + 4/9 DATA(0, -1, -1) - 4/9 DATA(0, -1, 1) + + + 1/18 DATA(0, -1, 2) + 1/18 DATA(0, 1, -2) - 4/9 DATA(0, 1, -1) + + + 4/9 DATA(0, 1, 1) - 1/18 DATA(0, 1, 2) - 1/144 DATA(0, 2, -2) + + + 1/18 DATA(0, 2, -1) - 1/18 DATA(0, 2, 1) + 1/144 DATA(0, 2, 2)) y z + ( + + 1/144 DATA(-2, 0, -2) - 1/18 DATA(-2, 0, -1) + 1/18 DATA(-2, 0, 1) + + - 1/144 DATA(-2, 0, 2) - 1/18 DATA(-1, 0, -2) + 4/9 DATA(-1, 0, -1) + + - 4/9 DATA(-1, 0, 1) + 1/18 DATA(-1, 0, 2) + 1/18 DATA(1, 0, -2) + + - 4/9 DATA(1, 0, -1) + 4/9 DATA(1, 0, 1) - 1/18 DATA(1, 0, 2) + + - 1/144 DATA(2, 0, -2) + 1/18 DATA(2, 0, -1) - 1/18 DATA(2, 0, 1) + + + 1/144 DATA(2, 0, 2)) x z + (- 14/9 DATA(0, 0, 1) + 10/9 DATA(1, 0, 1) + + + 1/24 DATA(2, 0, 2) - 1/18 DATA(3, 0, -1) - 1/144 DATA(3, 0, 2) + + - 1/9 DATA(-2, 0, 1) + 5/48 DATA(-1, 0, -2) - 7/36 DATA(0, 0, -2) + + - 1/24 DATA(2, 0, -2) + 1/144 DATA(3, 0, -2) - 1/72 DATA(-2, 0, -2) + + + 5/36 DATA(1, 0, -2) - 5/6 DATA(-1, 0, -1) + 5/6 DATA(-1, 0, 1) + + + 1/3 DATA(2, 0, -1) - 1/3 DATA(2, 0, 1) + 14/9 DATA(0, 0, -1) + + - 10/9 DATA(1, 0, -1) - 5/48 DATA(-1, 0, 2) - 5/36 DATA(1, 0, 2) + + + 7/36 DATA(0, 0, 2) + 1/18 DATA(3, 0, 1) + 1/9 DATA(-2, 0, -1) + + 2 + + 1/72 DATA(-2, 0, 2)) x z + (- 1/9 DATA(2, 0, 0) + 8/9 DATA(1, 0, 0) + + - 8/9 DATA(1, 1, 0) - 7/18 DATA(1, -1, 0) + 7/144 DATA(2, -1, 0) + + + 1/9 DATA(2, 1, 0) + 8/9 DATA(-1, 1, 0) - 7/144 DATA(2, 2, 0) + + + 7/18 DATA(1, 2, 0) - 7/18 DATA(-1, 2, 0) - 8/9 DATA(-1, 0, 0) + + + 7/18 DATA(-1, -1, 0) - 1/9 DATA(-2, 1, 0) + 1/144 DATA(-2, -2, 0) + + - 7/144 DATA(-2, -1, 0) + 7/144 DATA(-2, 2, 0) - 1/18 DATA(-1, -2, 0) + + + 1/18 DATA(1, -2, 0) - 1/144 DATA(2, -2, 0) - 1/144 DATA(-2, 3, 0) + + + 1/9 DATA(-2, 0, 0) + 1/18 DATA(-1, 3, 0) - 1/18 DATA(1, 3, 0) + + 3 / + + 1/144 DATA(2, 3, 0)) x y + |- 2/3 DATA(2, 0, 0) - 28/9 DATA(0, 0, 0) + \ + + + 28/9 DATA(0, 1, 0) + 20/9 DATA(1, 0, 0) - 20/9 DATA(1, 1, 0) + + 35 + - 1/144 DATA(3, 3, 0) + 1/9 DATA(3, 0, 0) - -- DATA(1, -1, 0) + 36 + + + 7/24 DATA(2, -1, 0) + 2/3 DATA(2, 1, 0) - 5/3 DATA(-1, 1, 0) + + 35 35 + - 7/24 DATA(2, 2, 0) + -- DATA(1, 2, 0) + -- DATA(-1, 2, 0) + 36 48 + + 49 49 + + 5/3 DATA(-1, 0, 0) - -- DATA(0, 2, 0) + -- DATA(0, -1, 0) + 36 36 + + 35 + - -- DATA(-1, -1, 0) + 1/144 DATA(3, -2, 0) - 7/144 DATA(3, -1, 0) + 48 + + - 1/9 DATA(3, 1, 0) + 7/144 DATA(3, 2, 0) + 7/36 DATA(0, 3, 0) + + - 7/36 DATA(0, -2, 0) + 2/9 DATA(-2, 1, 0) - 1/72 DATA(-2, -2, 0) + + + 7/72 DATA(-2, -1, 0) - 7/72 DATA(-2, 2, 0) + 5/48 DATA(-1, -2, 0) + + + 5/36 DATA(1, -2, 0) - 1/24 DATA(2, -2, 0) + 1/72 DATA(-2, 3, 0) + + - 2/9 DATA(-2, 0, 0) - 5/48 DATA(-1, 3, 0) - 5/36 DATA(1, 3, 0) + + \ 2 3 + + 1/24 DATA(2, 3, 0)| x y + (7/36 DATA(2, 0, 0) - 14/9 DATA(1, 0, 0) + / + + + 10/9 DATA(1, 1, 0) + 5/6 DATA(1, -1, 0) - 5/48 DATA(2, -1, 0) + + - 5/36 DATA(2, 1, 0) - 10/9 DATA(-1, 1, 0) + 1/24 DATA(2, 2, 0) + + - 1/3 DATA(1, 2, 0) + 1/3 DATA(-1, 2, 0) + 14/9 DATA(-1, 0, 0) + + - 5/6 DATA(-1, -1, 0) + 5/36 DATA(-2, 1, 0) - 1/72 DATA(-2, -2, 0) + + + 5/48 DATA(-2, -1, 0) - 1/24 DATA(-2, 2, 0) + 1/9 DATA(-1, -2, 0) + + - 1/9 DATA(1, -2, 0) + 1/72 DATA(2, -2, 0) + 1/144 DATA(-2, 3, 0) + + - 7/36 DATA(-2, 0, 0) - 1/18 DATA(-1, 3, 0) + 1/18 DATA(1, 3, 0) + + 2 / + - 1/144 DATA(2, 3, 0)) x y + |7/6 DATA(2, 0, 0) + 49/9 DATA(0, 0, 0) + \ + + - 35/9 DATA(0, 1, 0) - 35/9 DATA(1, 0, 0) + 25/9 DATA(1, 1, 0) + + 25 + + 1/144 DATA(3, 3, 0) - 7/36 DATA(3, 0, 0) + -- DATA(1, -1, 0) + 12 + + 25 + - 5/8 DATA(2, -1, 0) - 5/6 DATA(2, 1, 0) + -- DATA(-1, 1, 0) + 12 + + + 1/4 DATA(2, 2, 0) - 5/6 DATA(1, 2, 0) - 5/8 DATA(-1, 2, 0) + + 35 35 + - -- DATA(-1, 0, 0) + 7/6 DATA(0, 2, 0) - -- DATA(0, -1, 0) + 12 12 + + 25 + + -- DATA(-1, -1, 0) - 1/72 DATA(3, -2, 0) + 5/48 DATA(3, -1, 0) + 16 + + + 5/36 DATA(3, 1, 0) - 1/24 DATA(3, 2, 0) - 7/36 DATA(0, 3, 0) + + + 7/18 DATA(0, -2, 0) - 5/18 DATA(-2, 1, 0) + 1/36 DATA(-2, -2, 0) + + - 5/24 DATA(-2, -1, 0) + 1/12 DATA(-2, 2, 0) - 5/24 DATA(-1, -2, 0) + + - 5/18 DATA(1, -2, 0) + 1/12 DATA(2, -2, 0) - 1/72 DATA(-2, 3, 0) + + + 7/18 DATA(-2, 0, 0) + 5/48 DATA(-1, 3, 0) + 5/36 DATA(1, 3, 0) + + \ 2 2 / 49 + - 1/24 DATA(2, 3, 0)| x y + |- -- DATA(2, 0, 0) - 28/9 DATA(0, 0, 0) + / \ 36 + + + 20/9 DATA(0, 1, 0) + 28/9 DATA(1, 0, 0) - 20/9 DATA(1, 1, 0) + + - 1/144 DATA(3, 3, 0) + 7/36 DATA(3, 0, 0) - 5/3 DATA(1, -1, 0) + + 35 35 35 + + -- DATA(2, -1, 0) + -- DATA(2, 1, 0) - -- DATA(-1, 1, 0) + 48 36 36 + + - 7/24 DATA(2, 2, 0) + 2/3 DATA(1, 2, 0) + 7/24 DATA(-1, 2, 0) + + 49 + + -- DATA(-1, 0, 0) - 2/3 DATA(0, 2, 0) + 5/3 DATA(0, -1, 0) + 36 + + 35 + - -- DATA(-1, -1, 0) + 1/72 DATA(3, -2, 0) - 5/48 DATA(3, -1, 0) + 48 + + - 5/36 DATA(3, 1, 0) + 1/24 DATA(3, 2, 0) + 1/9 DATA(0, 3, 0) + + - 2/9 DATA(0, -2, 0) + 5/36 DATA(-2, 1, 0) - 1/72 DATA(-2, -2, 0) + + + 5/48 DATA(-2, -1, 0) - 1/24 DATA(-2, 2, 0) + 7/72 DATA(-1, -2, 0) + + + 2/9 DATA(1, -2, 0) - 7/72 DATA(2, -2, 0) + 1/144 DATA(-2, 3, 0) + + - 7/36 DATA(-2, 0, 0) - 7/144 DATA(-1, 3, 0) - 1/9 DATA(1, 3, 0) + + \ 3 2 + + 7/144 DATA(2, 3, 0)| x y + (1/144 DATA(-2, -2, 0) + / + + - 1/18 DATA(-2, -1, 0) + 1/18 DATA(-2, 1, 0) - 1/144 DATA(-2, 2, 0) + + - 1/18 DATA(-1, -2, 0) + 4/9 DATA(-1, -1, 0) - 4/9 DATA(-1, 1, 0) + + + 1/18 DATA(-1, 2, 0) + 1/18 DATA(1, -2, 0) - 4/9 DATA(1, -1, 0) + + + 4/9 DATA(1, 1, 0) - 1/18 DATA(1, 2, 0) - 1/144 DATA(2, -2, 0) + + + 1/18 DATA(2, -1, 0) - 1/18 DATA(2, 1, 0) + 1/144 DATA(2, 2, 0)) x y + ( + + - 14/9 DATA(0, 1, 0) + 10/9 DATA(1, 1, 0) - 10/9 DATA(1, -1, 0) + + + 1/3 DATA(2, -1, 0) - 1/3 DATA(2, 1, 0) + 5/6 DATA(-1, 1, 0) + + + 1/24 DATA(2, 2, 0) - 5/36 DATA(1, 2, 0) - 5/48 DATA(-1, 2, 0) + + + 7/36 DATA(0, 2, 0) + 14/9 DATA(0, -1, 0) - 5/6 DATA(-1, -1, 0) + + + 1/144 DATA(3, -2, 0) - 1/18 DATA(3, -1, 0) + 1/18 DATA(3, 1, 0) + + - 1/144 DATA(3, 2, 0) - 7/36 DATA(0, -2, 0) - 1/9 DATA(-2, 1, 0) + + - 1/72 DATA(-2, -2, 0) + 1/9 DATA(-2, -1, 0) + 1/72 DATA(-2, 2, 0) + + 2 + + 5/48 DATA(-1, -2, 0) + 5/36 DATA(1, -2, 0) - 1/24 DATA(2, -2, 0)) x y + + + (8/9 DATA(0, 1, 0) - 8/9 DATA(1, 1, 0) + 8/9 DATA(1, -1, 0) + + - 7/18 DATA(2, -1, 0) + 7/18 DATA(2, 1, 0) - 7/18 DATA(-1, 1, 0) + + - 7/144 DATA(2, 2, 0) + 1/9 DATA(1, 2, 0) + 7/144 DATA(-1, 2, 0) + + - 1/9 DATA(0, 2, 0) - 8/9 DATA(0, -1, 0) + 7/18 DATA(-1, -1, 0) + + - 1/144 DATA(3, -2, 0) + 1/18 DATA(3, -1, 0) - 1/18 DATA(3, 1, 0) + + + 1/144 DATA(3, 2, 0) + 1/9 DATA(0, -2, 0) + 1/18 DATA(-2, 1, 0) + + + 1/144 DATA(-2, -2, 0) - 1/18 DATA(-2, -1, 0) - 1/144 DATA(-2, 2, 0) + + 3 + - 7/144 DATA(-1, -2, 0) - 1/9 DATA(1, -2, 0) + 7/144 DATA(2, -2, 0)) x y + + / + + |49/9 DATA(0, 0, 0) - 35/9 DATA(0, 0, 1) - 35/9 DATA(0, 1, 0) + \ + + + 25/9 DATA(0, 1, 1) - 5/18 DATA(0, -2, 1) - 5/18 DATA(0, 1, -2) + + - 5/24 DATA(0, -1, -2) + 7/18 DATA(0, 0, -2) + 1/12 DATA(0, 2, -2) + + 25 + - 1/72 DATA(0, 3, -2) + 1/36 DATA(0, -2, -2) + -- DATA(0, -1, -1) + 16 + + 25 + + -- DATA(0, -1, 1) - 5/8 DATA(0, 2, -1) - 5/6 DATA(0, 2, 1) + 12 + + 35 25 + - -- DATA(0, 0, -1) + -- DATA(0, 1, -1) + 7/6 DATA(0, 2, 0) + 12 12 + + + 1/4 DATA(0, 2, 2) + 7/6 DATA(0, 0, 2) - 5/6 DATA(0, 1, 2) + + 35 + - -- DATA(0, -1, 0) - 5/8 DATA(0, -1, 2) - 7/36 DATA(0, 0, 3) + 12 + + + 5/48 DATA(0, 3, -1) - 7/36 DATA(0, 3, 0) - 1/24 DATA(0, 3, 2) + + + 1/144 DATA(0, 3, 3) + 5/36 DATA(0, 3, 1) - 5/24 DATA(0, -2, -1) + + + 7/18 DATA(0, -2, 0) + 1/12 DATA(0, -2, 2) - 1/72 DATA(0, -2, 3) + + \ 2 2 + + 5/48 DATA(0, -1, 3) + 5/36 DATA(0, 1, 3) - 1/24 DATA(0, 2, 3)| y z + ( + / + + 8/9 DATA(0, 0, 1) - 8/9 DATA(1, 0, 1) - 7/144 DATA(2, 0, 2) + + + 1/18 DATA(3, 0, -1) + 1/144 DATA(3, 0, 2) + 1/18 DATA(-2, 0, 1) + + - 7/144 DATA(-1, 0, -2) + 1/9 DATA(0, 0, -2) + 7/144 DATA(2, 0, -2) + + - 1/144 DATA(3, 0, -2) + 1/144 DATA(-2, 0, -2) - 1/9 DATA(1, 0, -2) + + + 7/18 DATA(-1, 0, -1) - 7/18 DATA(-1, 0, 1) - 7/18 DATA(2, 0, -1) + + + 7/18 DATA(2, 0, 1) - 8/9 DATA(0, 0, -1) + 8/9 DATA(1, 0, -1) + + + 7/144 DATA(-1, 0, 2) + 1/9 DATA(1, 0, 2) - 1/9 DATA(0, 0, 2) + + 3 + - 1/18 DATA(3, 0, 1) - 1/18 DATA(-2, 0, -1) - 1/144 DATA(-2, 0, 2)) x z + + / + + |7/9 DATA(2, 0, 0) + 16/9 DATA(0, 0, 0) - 16/9 DATA(0, 1, 0) + \ + + - 16/9 DATA(1, 0, 0) + 16/9 DATA(1, 1, 0) + 1/144 DATA(3, 3, 0) + + 49 + - 1/9 DATA(3, 0, 0) + 7/9 DATA(1, -1, 0) - --- DATA(2, -1, 0) + 144 + + 49 + - 7/9 DATA(2, 1, 0) + 7/9 DATA(-1, 1, 0) + --- DATA(2, 2, 0) + 144 + + 49 + - 7/9 DATA(1, 2, 0) - --- DATA(-1, 2, 0) - 7/9 DATA(-1, 0, 0) + 144 + + 49 + + 7/9 DATA(0, 2, 0) - 7/9 DATA(0, -1, 0) + --- DATA(-1, -1, 0) + 144 + + - 1/144 DATA(3, -2, 0) + 7/144 DATA(3, -1, 0) + 1/9 DATA(3, 1, 0) + + - 7/144 DATA(3, 2, 0) - 1/9 DATA(0, 3, 0) + 1/9 DATA(0, -2, 0) + + - 1/9 DATA(-2, 1, 0) + 1/144 DATA(-2, -2, 0) - 7/144 DATA(-2, -1, 0) + + + 7/144 DATA(-2, 2, 0) - 7/144 DATA(-1, -2, 0) - 1/9 DATA(1, -2, 0) + + + 7/144 DATA(2, -2, 0) - 1/144 DATA(-2, 3, 0) + 1/9 DATA(-2, 0, 0) + + \ 3 3 + + 7/144 DATA(-1, 3, 0) + 1/9 DATA(1, 3, 0) - 7/144 DATA(2, 3, 0)| x y + + / + + (4/3 DATA(0, 0, 0) - 4/3 DATA(0, 1, 0) + 1/12 DATA(0, -2, 0) + + 3 + - 7/12 DATA(0, -1, 0) + 7/12 DATA(0, 2, 0) - 1/12 DATA(0, 3, 0)) y + ( + + - 7/3 DATA(0, 0, 0) + 5/3 DATA(0, 1, 0) - 1/6 DATA(0, -2, 0) + + 2 + + 5/4 DATA(0, -1, 0) - 1/2 DATA(0, 2, 0) + 1/12 DATA(0, 3, 0)) y + ( + + 1/12 DATA(0, -2, 0) - 2/3 DATA(0, -1, 0) + 2/3 DATA(0, 1, 0) + + - 1/12 DATA(0, 2, 0)) y + (1/12 DATA(-2, 0, 0) - 2/3 DATA(-1, 0, 0) + + + 2/3 DATA(1, 0, 0) - 1/12 DATA(2, 0, 0)) x + (- 7/3 DATA(0, 0, 0) + + + 5/3 DATA(1, 0, 0) - 1/6 DATA(-2, 0, 0) + 5/4 DATA(-1, 0, 0) + + 2 + - 1/2 DATA(2, 0, 0) + 1/12 DATA(3, 0, 0)) x + (4/3 DATA(0, 0, 0) + + - 4/3 DATA(1, 0, 0) + 1/12 DATA(-2, 0, 0) - 7/12 DATA(-1, 0, 0) + + 3 + + 7/12 DATA(2, 0, 0) - 1/12 DATA(3, 0, 0)) x + (4/3 DATA(0, 0, 0) + + - 4/3 DATA(0, 0, 1) + 1/12 DATA(0, 0, -2) - 7/12 DATA(0, 0, -1) + + 3 + + 7/12 DATA(0, 0, 2) - 1/12 DATA(0, 0, 3)) z + (- 7/3 DATA(0, 0, 0) + + + 5/3 DATA(0, 0, 1) - 1/6 DATA(0, 0, -2) + 5/4 DATA(0, 0, -1) + + 2 + - 1/2 DATA(0, 0, 2) + 1/12 DATA(0, 0, 3)) z + (- 1/9 DATA(2, 0, 0) + + + 8/9 DATA(1, 0, 0) - 8/9 DATA(1, 0, 1) - 7/144 DATA(2, 0, 2) + + - 1/9 DATA(-2, 0, 1) - 1/18 DATA(-1, 0, -2) - 1/144 DATA(2, 0, -2) + + + 1/144 DATA(-2, 0, -2) + 1/18 DATA(1, 0, -2) + 7/18 DATA(-1, 0, -1) + + + 8/9 DATA(-1, 0, 1) + 7/144 DATA(2, 0, -1) + 1/9 DATA(2, 0, 1) + + - 7/18 DATA(1, 0, -1) - 8/9 DATA(-1, 0, 0) - 7/18 DATA(-1, 0, 2) + + + 7/18 DATA(1, 0, 2) - 7/144 DATA(-2, 0, -1) + 1/9 DATA(-2, 0, 0) + + + 7/144 DATA(-2, 0, 2) - 1/144 DATA(-2, 0, 3) + 1/18 DATA(-1, 0, 3) + + 3 + - 1/18 DATA(1, 0, 3) + 1/144 DATA(2, 0, 3)) x z + (8/9 DATA(0, 0, 1) + + - 8/9 DATA(0, 1, 1) + 1/18 DATA(0, -2, 1) - 1/9 DATA(0, 1, -2) + + - 7/144 DATA(0, -1, -2) + 1/9 DATA(0, 0, -2) + 7/144 DATA(0, 2, -2) + + - 1/144 DATA(0, 3, -2) + 1/144 DATA(0, -2, -2) + 7/18 DATA(0, -1, -1) + + - 7/18 DATA(0, -1, 1) - 7/18 DATA(0, 2, -1) + 7/18 DATA(0, 2, 1) + + - 8/9 DATA(0, 0, -1) + 8/9 DATA(0, 1, -1) - 7/144 DATA(0, 2, 2) + + - 1/9 DATA(0, 0, 2) + 1/9 DATA(0, 1, 2) + 7/144 DATA(0, -1, 2) + + + 1/18 DATA(0, 3, -1) + 1/144 DATA(0, 3, 2) - 1/18 DATA(0, 3, 1) + + 3 / + - 1/18 DATA(0, -2, -1) - 1/144 DATA(0, -2, 2)) y z + |16/9 DATA(0, 0, 0) + \ + + - 16/9 DATA(0, 0, 1) - 16/9 DATA(0, 1, 0) + 16/9 DATA(0, 1, 1) + + - 1/9 DATA(0, -2, 1) - 1/9 DATA(0, 1, -2) - 7/144 DATA(0, -1, -2) + + + 1/9 DATA(0, 0, -2) + 7/144 DATA(0, 2, -2) - 1/144 DATA(0, 3, -2) + + 49 + + 1/144 DATA(0, -2, -2) + --- DATA(0, -1, -1) + 7/9 DATA(0, -1, 1) + 144 + + 49 + - --- DATA(0, 2, -1) - 7/9 DATA(0, 2, 1) - 7/9 DATA(0, 0, -1) + 144 + + 49 + + 7/9 DATA(0, 1, -1) + 7/9 DATA(0, 2, 0) + --- DATA(0, 2, 2) + 144 + + + 7/9 DATA(0, 0, 2) - 7/9 DATA(0, 1, 2) - 7/9 DATA(0, -1, 0) + + 49 + - --- DATA(0, -1, 2) - 1/9 DATA(0, 0, 3) + 7/144 DATA(0, 3, -1) + 144 + + - 1/9 DATA(0, 3, 0) - 7/144 DATA(0, 3, 2) + 1/144 DATA(0, 3, 3) + + + 1/9 DATA(0, 3, 1) - 7/144 DATA(0, -2, -1) + 1/9 DATA(0, -2, 0) + + + 7/144 DATA(0, -2, 2) - 1/144 DATA(0, -2, 3) + 7/144 DATA(0, -1, 3) + + \ 3 3 / + + 1/9 DATA(0, 1, 3) - 7/144 DATA(0, 2, 3)| y z + |- 28/9 DATA(0, 0, 0) + / \ + + + 28/9 DATA(0, 0, 1) + 20/9 DATA(0, 1, 0) - 20/9 DATA(0, 1, 1) + + + 2/9 DATA(0, -2, 1) + 5/36 DATA(0, 1, -2) + 5/48 DATA(0, -1, -2) + + - 7/36 DATA(0, 0, -2) - 1/24 DATA(0, 2, -2) + 1/144 DATA(0, 3, -2) + + 35 + - 1/72 DATA(0, -2, -2) - -- DATA(0, -1, -1) - 5/3 DATA(0, -1, 1) + 48 + + 49 + + 7/24 DATA(0, 2, -1) + 2/3 DATA(0, 2, 1) + -- DATA(0, 0, -1) + 36 + + 35 + - -- DATA(0, 1, -1) - 2/3 DATA(0, 2, 0) - 7/24 DATA(0, 2, 2) + 36 + + 49 35 + - -- DATA(0, 0, 2) + -- DATA(0, 1, 2) + 5/3 DATA(0, -1, 0) + 36 36 + + 35 + + -- DATA(0, -1, 2) + 7/36 DATA(0, 0, 3) - 7/144 DATA(0, 3, -1) + 48 + + + 1/9 DATA(0, 3, 0) + 7/144 DATA(0, 3, 2) - 1/144 DATA(0, 3, 3) + + - 1/9 DATA(0, 3, 1) + 7/72 DATA(0, -2, -1) - 2/9 DATA(0, -2, 0) + + - 7/72 DATA(0, -2, 2) + 1/72 DATA(0, -2, 3) - 5/48 DATA(0, -1, 3) + + \ 2 3 + - 5/36 DATA(0, 1, 3) + 1/24 DATA(0, 2, 3)| y z + (8/9 DATA(0, 1, 0) + / + + - 8/9 DATA(0, 1, 1) - 1/9 DATA(0, -2, 1) + 1/18 DATA(0, 1, -2) + + - 1/18 DATA(0, -1, -2) - 1/144 DATA(0, 2, -2) + 1/144 DATA(0, -2, -2) + + + 7/18 DATA(0, -1, -1) + 8/9 DATA(0, -1, 1) + 7/144 DATA(0, 2, -1) + + + 1/9 DATA(0, 2, 1) - 7/18 DATA(0, 1, -1) - 1/9 DATA(0, 2, 0) + + - 7/144 DATA(0, 2, 2) + 7/18 DATA(0, 1, 2) - 8/9 DATA(0, -1, 0) + + - 7/18 DATA(0, -1, 2) - 7/144 DATA(0, -2, -1) + 1/9 DATA(0, -2, 0) + + + 7/144 DATA(0, -2, 2) - 1/144 DATA(0, -2, 3) + 1/18 DATA(0, -1, 3) + + 3 / + - 1/18 DATA(0, 1, 3) + 1/144 DATA(0, 2, 3)) y z + |- 2/3 DATA(2, 0, 0) + \ + + - 28/9 DATA(0, 0, 0) + 28/9 DATA(0, 0, 1) + 20/9 DATA(1, 0, 0) + + - 20/9 DATA(1, 0, 1) - 7/24 DATA(2, 0, 2) - 7/144 DATA(3, 0, -1) + + + 1/9 DATA(3, 0, 0) + 7/144 DATA(3, 0, 2) - 1/144 DATA(3, 0, 3) + + + 2/9 DATA(-2, 0, 1) + 5/48 DATA(-1, 0, -2) - 7/36 DATA(0, 0, -2) + + - 1/24 DATA(2, 0, -2) + 1/144 DATA(3, 0, -2) - 1/72 DATA(-2, 0, -2) + + 35 + + 5/36 DATA(1, 0, -2) - -- DATA(-1, 0, -1) - 5/3 DATA(-1, 0, 1) + 48 + + 49 + + 7/24 DATA(2, 0, -1) + 2/3 DATA(2, 0, 1) + -- DATA(0, 0, -1) + 36 + + 35 35 + - -- DATA(1, 0, -1) + 5/3 DATA(-1, 0, 0) + -- DATA(-1, 0, 2) + 36 48 + + 35 49 + + -- DATA(1, 0, 2) - -- DATA(0, 0, 2) + 7/36 DATA(0, 0, 3) + 36 36 + + - 1/9 DATA(3, 0, 1) + 7/72 DATA(-2, 0, -1) - 2/9 DATA(-2, 0, 0) + + - 7/72 DATA(-2, 0, 2) + 1/72 DATA(-2, 0, 3) - 5/48 DATA(-1, 0, 3) + + \ 2 3 / + - 5/36 DATA(1, 0, 3) + 1/24 DATA(2, 0, 3)| x z + |7/9 DATA(2, 0, 0) + / \ + + + 16/9 DATA(0, 0, 0) - 16/9 DATA(0, 0, 1) - 16/9 DATA(1, 0, 0) + + 49 + + 16/9 DATA(1, 0, 1) + --- DATA(2, 0, 2) + 7/144 DATA(3, 0, -1) + 144 + + - 1/9 DATA(3, 0, 0) - 7/144 DATA(3, 0, 2) + 1/144 DATA(3, 0, 3) + + - 1/9 DATA(-2, 0, 1) - 7/144 DATA(-1, 0, -2) + 1/9 DATA(0, 0, -2) + + + 7/144 DATA(2, 0, -2) - 1/144 DATA(3, 0, -2) + 1/144 DATA(-2, 0, -2) + + 49 + - 1/9 DATA(1, 0, -2) + --- DATA(-1, 0, -1) + 7/9 DATA(-1, 0, 1) + 144 + + 49 + - --- DATA(2, 0, -1) - 7/9 DATA(2, 0, 1) - 7/9 DATA(0, 0, -1) + 144 + + 49 + + 7/9 DATA(1, 0, -1) - 7/9 DATA(-1, 0, 0) - --- DATA(-1, 0, 2) + 144 + + - 7/9 DATA(1, 0, 2) + 7/9 DATA(0, 0, 2) - 1/9 DATA(0, 0, 3) + + + 1/9 DATA(3, 0, 1) - 7/144 DATA(-2, 0, -1) + 1/9 DATA(-2, 0, 0) + + + 7/144 DATA(-2, 0, 2) - 1/144 DATA(-2, 0, 3) + 7/144 DATA(-1, 0, 3) + + \ 3 3 / + + 1/9 DATA(1, 0, 3) - 7/144 DATA(2, 0, 3)| x z + |- 28/9 DATA(0, 0, 0) + / \ + + + 20/9 DATA(0, 0, 1) + 28/9 DATA(0, 1, 0) - 20/9 DATA(0, 1, 1) + + + 5/36 DATA(0, -2, 1) + 2/9 DATA(0, 1, -2) + 7/72 DATA(0, -1, -2) + + - 2/9 DATA(0, 0, -2) - 7/72 DATA(0, 2, -2) + 1/72 DATA(0, 3, -2) + + 35 35 + - 1/72 DATA(0, -2, -2) - -- DATA(0, -1, -1) - -- DATA(0, -1, 1) + 48 36 + + 35 35 + + -- DATA(0, 2, -1) + -- DATA(0, 2, 1) + 5/3 DATA(0, 0, -1) + 48 36 + + 49 + - 5/3 DATA(0, 1, -1) - -- DATA(0, 2, 0) - 7/24 DATA(0, 2, 2) + 36 + + 49 + - 2/3 DATA(0, 0, 2) + 2/3 DATA(0, 1, 2) + -- DATA(0, -1, 0) + 36 + + + 7/24 DATA(0, -1, 2) + 1/9 DATA(0, 0, 3) - 5/48 DATA(0, 3, -1) + + + 7/36 DATA(0, 3, 0) + 1/24 DATA(0, 3, 2) - 1/144 DATA(0, 3, 3) + + - 5/36 DATA(0, 3, 1) + 5/48 DATA(0, -2, -1) - 7/36 DATA(0, -2, 0) + + - 1/24 DATA(0, -2, 2) + 1/144 DATA(0, -2, 3) - 7/144 DATA(0, -1, 3) + + \ 3 2 + - 1/9 DATA(0, 1, 3) + 7/144 DATA(0, 2, 3)| y z + (- 14/9 DATA(0, 1, 0) + / + + + 10/9 DATA(0, 1, 1) + 5/36 DATA(0, -2, 1) - 1/9 DATA(0, 1, -2) + + + 1/9 DATA(0, -1, -2) + 1/72 DATA(0, 2, -2) - 1/72 DATA(0, -2, -2) + + - 5/6 DATA(0, -1, -1) - 10/9 DATA(0, -1, 1) - 5/48 DATA(0, 2, -1) + + - 5/36 DATA(0, 2, 1) + 5/6 DATA(0, 1, -1) + 7/36 DATA(0, 2, 0) + + + 1/24 DATA(0, 2, 2) - 1/3 DATA(0, 1, 2) + 14/9 DATA(0, -1, 0) + + + 1/3 DATA(0, -1, 2) + 5/48 DATA(0, -2, -1) - 7/36 DATA(0, -2, 0) + + - 1/24 DATA(0, -2, 2) + 1/144 DATA(0, -2, 3) - 1/18 DATA(0, -1, 3) + + 2 + + 1/18 DATA(0, 1, 3) - 1/144 DATA(0, 2, 3)) y z + (7/36 DATA(2, 0, 0) + + - 14/9 DATA(1, 0, 0) + 10/9 DATA(1, 0, 1) + 1/24 DATA(2, 0, 2) + + + 5/36 DATA(-2, 0, 1) + 1/9 DATA(-1, 0, -2) + 1/72 DATA(2, 0, -2) + + - 1/72 DATA(-2, 0, -2) - 1/9 DATA(1, 0, -2) 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DATA(0, 0, 2) - 7/36 DATA(0, 0, 3) + + + 5/36 DATA(3, 0, 1) - 5/24 DATA(-2, 0, -1) + 7/18 DATA(-2, 0, 0) + + + 1/12 DATA(-2, 0, 2) - 1/72 DATA(-2, 0, 3) + 5/48 DATA(-1, 0, 3) + + \ 2 2 / 49 + + 5/36 DATA(1, 0, 3) - 1/24 DATA(2, 0, 3)| x z + |- -- DATA(2, 0, 0) + / \ 36 + + - 28/9 DATA(0, 0, 0) + 20/9 DATA(0, 0, 1) + 28/9 DATA(1, 0, 0) + + - 20/9 DATA(1, 0, 1) - 7/24 DATA(2, 0, 2) - 5/48 DATA(3, 0, -1) + + + 7/36 DATA(3, 0, 0) + 1/24 DATA(3, 0, 2) - 1/144 DATA(3, 0, 3) + + + 5/36 DATA(-2, 0, 1) + 7/72 DATA(-1, 0, -2) - 2/9 DATA(0, 0, -2) + + - 7/72 DATA(2, 0, -2) + 1/72 DATA(3, 0, -2) - 1/72 DATA(-2, 0, -2) + + 35 35 + + 2/9 DATA(1, 0, -2) - -- DATA(-1, 0, -1) - -- DATA(-1, 0, 1) + 48 36 + + 35 35 + + -- DATA(2, 0, -1) + -- DATA(2, 0, 1) + 5/3 DATA(0, 0, -1) + 48 36 + + 49 + - 5/3 DATA(1, 0, -1) + -- DATA(-1, 0, 0) + 7/24 DATA(-1, 0, 2) + 36 + + + 2/3 DATA(1, 0, 2) - 2/3 DATA(0, 0, 2) + 1/9 DATA(0, 0, 3) + + - 5/36 DATA(3, 0, 1) + 5/48 DATA(-2, 0, -1) - 7/36 DATA(-2, 0, 0) + + - 1/24 DATA(-2, 0, 2) + 1/144 DATA(-2, 0, 3) - 7/144 DATA(-1, 0, 3) + + \ 3 2 /28 + - 1/9 DATA(1, 0, 3) + 7/144 DATA(2, 0, 3)| x z + |-- DATA(2, 0, 0) + / \27 + + 64 64 64 + + -- DATA(0, 0, 0) - -- DATA(1, 1, 1) - -- DATA(0, 0, 1) + 27 27 27 + + 64 64 64 + - -- DATA(0, 1, 0) + -- DATA(0, 1, 1) - -- DATA(1, 0, 0) + 27 27 27 + + 64 64 49 + + -- DATA(1, 0, 1) + -- DATA(1, 1, 0) + --- DATA(2, 0, 2) + 27 27 108 + + - 1/108 DATA(-2, -2, 1) + 7/108 DATA(-2, -1, 1) + 4/27 DATA(-2, 1, 1) + + - 7/108 DATA(-2, 2, 1) + 7/108 DATA(-1, -2, 1) + 4/27 DATA(1, -2, 1) + + - 7/1728 DATA(3, 3, -1) + 1/108 DATA(3, 3, 0) + 7/1728 DATA(3, 3, 2) + + - 1/1728 DATA(3, 3, 3) + 7/108 DATA(3, 0, -1) - 4/27 DATA(3, 0, 0) + + - 7/108 DATA(3, 0, 2) + 1/108 DATA(3, 0, 3) - 4/27 DATA(1, 3, 1) + + - 4/27 DATA(-2, 0, 1) + 1/108 DATA(-2, 3, 1) - 7/108 DATA(2, -2, 1) + + - 4/27 DATA(0, -2, 1) + 1/108 DATA(3, -2, 1) - 4/27 DATA(3, 1, 1) + + 49 + + ---- DATA(-1, -1, -2) - 7/108 DATA(-1, 0, -2) + 1/108 DATA(3, 1, -2) + 1728 + + + 7/108 DATA(-1, 1, -2) - 4/27 DATA(0, 1, -2) - 7/108 DATA(2, 1, -2) + + 49 + - 7/108 DATA(0, -1, -2) + 4/27 DATA(0, 0, -2) - ---- DATA(2, -1, -2) + 1728 + + + 7/108 DATA(2, 0, -2) + 7/108 DATA(0, 2, -2) - 1/108 DATA(0, 3, -2) + + 49 49 + + 7/1728 DATA(-1, 3, -2) - ---- DATA(-1, 2, -2) + ---- DATA(2, 2, -2) + 1728 1728 + + - 7/1728 DATA(2, 3, -2) + 7/1728 DATA(3, -1, -2) - 1/108 DATA(3, 0, -2) + + - 7/1728 DATA(3, 2, -2) + 4/27 DATA(1, 1, -2) - 7/1728 DATA(-2, -1, -2) + + + 1/108 DATA(-2, 0, -2) + 7/1728 DATA(-2, 2, -2) - 1/1728 DATA(-2, 3, -2) + + - 4/27 DATA(1, 0, -2) - 7/108 DATA(1, 2, -2) + 1/108 DATA(1, 3, -2) + + + 1/1728 DATA(3, 3, -2) + 7/108 DATA(1, -1, -2) + 1/108 DATA(0, -2, -2) + + - 7/1728 DATA(-1, -2, -2) - 1/108 DATA(-2, 1, -2) + 7/1728 DATA(2, -2, -2) + + + 1/1728 DATA(-2, -2, -2) - 1/1728 DATA(3, -2, -2) - 1/108 DATA(1, -2, -2) + + 28 343 49 + - -- DATA(-1, 1, 1) - ---- DATA(-1, -1, -1) - --- DATA(-1, -1, 1) + 27 1728 108 + + 49 49 28 + - --- DATA(-1, 1, -1) - --- DATA(1, -1, -1) - -- DATA(1, -1, 1) + 108 108 27 + + 28 49 28 + - -- DATA(1, 1, -1) + --- DATA(-1, 0, -1) + -- DATA(-1, 0, 1) + 27 108 27 + + 343 49 28 + + ---- DATA(-1, 2, -1) + --- DATA(-1, 2, 1) + -- DATA(1, -1, 0) + 1728 108 27 + + 49 28 28 + - --- DATA(2, -1, 0) - -- DATA(2, 1, 0) + -- DATA(-1, 1, 0) + 108 27 27 + + 49 28 49 + + --- DATA(2, 1, -1) + -- DATA(2, 1, 1) + --- DATA(0, -1, -1) + 108 27 108 + + 28 49 28 + + -- DATA(0, -1, 1) - --- DATA(0, 2, -1) - -- DATA(0, 2, 1) + 27 108 27 + + 49 28 28 + - --- DATA(2, 0, -1) - -- DATA(2, 0, 1) - -- DATA(0, 0, -1) + 108 27 27 + + 28 28 49 + + -- DATA(0, 1, -1) + -- DATA(1, 0, -1) + --- DATA(1, 2, -1) + 27 27 108 + + 28 49 28 + + -- DATA(1, 2, 1) + --- DATA(2, 2, 0) - -- DATA(1, 2, 0) + 27 108 27 + + 49 28 49 + - --- DATA(-1, 2, 0) - -- DATA(-1, 0, 0) - --- DATA(-1, 0, 2) + 108 27 108 + + 28 28 49 + - -- DATA(1, 0, 2) + -- DATA(0, 2, 0) + --- DATA(0, 2, 2) + 27 27 108 + + 28 28 28 + + -- DATA(0, 0, 2) - -- DATA(0, 1, 2) - -- DATA(0, -1, 0) + 27 27 27 + + 49 28 343 + - --- DATA(0, -1, 2) + -- DATA(1, 1, 2) - ---- DATA(2, 2, -1) + 108 27 1728 + + 49 343 49 + - --- DATA(2, 2, 1) + ---- DATA(2, -1, -1) + --- DATA(2, -1, 1) + 108 1728 108 + + 49 343 343 + + --- DATA(-1, -1, 0) + ---- DATA(-1, -1, 2) - ---- DATA(2, -1, 2) + 108 1728 1728 + + 343 343 49 + - ---- DATA(-1, 2, 2) + ---- DATA(2, 2, 2) + --- DATA(1, -1, 2) + 1728 1728 108 + + 49 49 49 + - --- DATA(2, 1, 2) + --- DATA(-1, 1, 2) - --- DATA(1, 2, 2) + 108 108 108 + + + 7/1728 DATA(3, -2, -1) - 1/108 DATA(3, -2, 0) - 7/1728 DATA(3, -2, 2) + + 49 + + 1/1728 DATA(3, -2, 3) - ---- DATA(3, -1, -1) + 7/108 DATA(3, -1, 0) + 1728 + + 49 + + ---- DATA(3, -1, 2) - 7/1728 DATA(3, -1, 3) - 7/108 DATA(3, 1, -1) + 1728 + + + 4/27 DATA(3, 1, 0) + 7/108 DATA(3, 1, 2) - 1/108 DATA(3, 1, 3) + + 49 49 + + ---- DATA(3, 2, -1) - 7/108 DATA(3, 2, 0) - ---- DATA(3, 2, 2) + 1728 1728 + + + 7/1728 DATA(3, 2, 3) - 4/27 DATA(0, 0, 3) + 7/108 DATA(0, 3, -1) + + - 4/27 DATA(0, 3, 0) - 7/108 DATA(0, 3, 2) + 1/108 DATA(0, 3, 3) + + - 7/108 DATA(-1, 3, 1) + 4/27 DATA(0, 3, 1) + 7/108 DATA(2, 3, 1) + + - 7/108 DATA(3, -1, 1) + 4/27 DATA(3, 0, 1) + 7/108 DATA(3, 2, 1) + + - 1/108 DATA(3, 3, 1) - 7/108 DATA(0, -2, -1) + 4/27 DATA(0, -2, 0) + + + 7/108 DATA(0, -2, 2) - 1/108 DATA(0, -2, 3) + 7/108 DATA(0, -1, 3) + + + 4/27 DATA(0, 1, 3) - 7/108 DATA(0, 2, 3) + 7/108 DATA(-2, 1, -1) + + - 4/27 DATA(-2, 1, 0) - 7/108 DATA(-2, 1, 2) + 1/108 DATA(-2, 1, 3) + + - 7/1728 DATA(-2, -2, -1) + 1/108 DATA(-2, -2, 0) + 7/1728 DATA(-2, -2, 2) + + 49 + - 1/1728 DATA(-2, -2, 3) + ---- DATA(-2, -1, -1) - 7/108 DATA(-2, -1, 0) + 1728 + + 49 49 + - ---- DATA(-2, -1, 2) + 7/1728 DATA(-2, -1, 3) - ---- DATA(-2, 2, -1) + 1728 1728 + + 49 + + 7/108 DATA(-2, 2, 0) + ---- DATA(-2, 2, 2) - 7/1728 DATA(-2, 2, 3) + 1728 + + 49 49 + + ---- DATA(-1, 2, 3) - ---- DATA(-1, -1, 3) - 7/108 DATA(-1, 1, 3) + 1728 1728 + + 49 49 + + ---- DATA(-1, -2, -1) - 7/108 DATA(-1, -2, 0) - ---- DATA(-1, -2, 2) + 1728 1728 + + + 7/1728 DATA(-1, -2, 3) - 4/27 DATA(1, 1, 3) - 7/108 DATA(1, -1, 3) + + + 7/108 DATA(1, -2, -1) - 4/27 DATA(1, -2, 0) - 7/108 DATA(1, -2, 2) + + 49 + + 1/108 DATA(1, -2, 3) - ---- DATA(2, -2, -1) + 7/108 DATA(2, -2, 0) + 1728 + + 49 49 + + ---- DATA(2, -2, 2) - 7/1728 DATA(2, -2, 3) + ---- DATA(2, -1, 3) + 1728 1728 + + 49 + + 7/108 DATA(1, 2, 3) + 7/108 DATA(2, 1, 3) - ---- DATA(2, 2, 3) + 1728 + + + 7/1728 DATA(-2, 3, -1) - 1/108 DATA(-2, 3, 0) - 7/1728 DATA(-2, 3, 2) + + + 1/1728 DATA(-2, 3, 3) - 7/108 DATA(-2, 0, -1) + 4/27 DATA(-2, 0, 0) + + 49 + + 7/108 DATA(-2, 0, 2) - 1/108 DATA(-2, 0, 3) - ---- DATA(-1, 3, -1) + 1728 + + 49 + + 7/108 DATA(-1, 3, 0) + ---- DATA(-1, 3, 2) - 7/1728 DATA(-1, 3, 3) + 1728 + + + 7/108 DATA(-1, 0, 3) + 4/27 DATA(1, 0, 3) + 7/108 DATA(1, 3, 2) + + - 1/108 DATA(1, 3, 3) - 7/108 DATA(1, 3, -1) + 4/27 DATA(1, 3, 0) + + 49 + - 7/108 DATA(2, 0, 3) + ---- DATA(2, 3, -1) - 7/108 DATA(2, 3, 0) + 1728 + + 49 \ 3 3 3 / + - ---- DATA(2, 3, 2) + 7/1728 DATA(2, 3, 3)| x y z + | + 1728 / \ + + 40 56 56 + 7/27 DATA(2, 0, 0) - -- DATA(1, 1, 1) - -- DATA(1, 0, 0) + -- DATA(1, 0, 1) + 27 27 27 + + 40 49 + + -- DATA(1, 1, 0) + --- DATA(2, 0, 2) + 1/54 DATA(-2, -2, 1) + 27 432 + + - 5/36 DATA(-2, -1, 1) - 5/27 DATA(-2, 1, 1) + 1/18 DATA(-2, 2, 1) + + - 4/27 DATA(-1, -2, 1) + 4/27 DATA(1, -2, 1) - 2/27 DATA(1, 3, 1) + + + 7/27 DATA(-2, 0, 1) - 1/108 DATA(-2, 3, 1) - 1/54 DATA(2, -2, 1) + + - 5/72 DATA(-1, -1, -2) + 7/54 DATA(-1, 0, -2) - 5/54 DATA(-1, 1, -2) + + - 5/432 DATA(2, 1, -2) - 5/576 DATA(2, -1, -2) + 7/432 DATA(2, 0, -2) + + - 1/216 DATA(-1, 3, -2) + 1/36 DATA(-1, 2, -2) + 1/288 DATA(2, 2, -2) + + - 1/1728 DATA(2, 3, -2) + 5/54 DATA(1, 1, -2) + 5/576 DATA(-2, -1, -2) + + - 7/432 DATA(-2, 0, -2) - 1/288 DATA(-2, 2, -2) + 1/1728 DATA(-2, 3, -2) + + - 7/54 DATA(1, 0, -2) - 1/36 DATA(1, 2, -2) + 1/216 DATA(1, 3, -2) + + + 5/72 DATA(1, -1, -2) + 1/108 DATA(-1, -2, -2) + 5/432 DATA(-2, 1, -2) + + + 1/864 DATA(2, -2, -2) - 1/864 DATA(-2, -2, -2) - 1/108 DATA(1, -2, -2) + + 40 35 + + -- DATA(-1, 1, 1) + -- DATA(-1, -1, -1) + 10/9 DATA(-1, -1, 1) + 27 72 + + 35 35 + + -- DATA(-1, 1, -1) - -- DATA(1, -1, -1) - 10/9 DATA(1, -1, 1) + 54 72 + + 35 49 56 + - -- DATA(1, 1, -1) - -- DATA(-1, 0, -1) - -- DATA(-1, 0, 1) + 54 54 27 + + - 7/36 DATA(-1, 2, -1) - 4/9 DATA(-1, 2, 1) + 10/9 DATA(1, -1, 0) + + 40 + - 5/36 DATA(2, -1, 0) - 5/27 DATA(2, 1, 0) - -- DATA(-1, 1, 0) + 27 + + 35 49 + + --- DATA(2, 1, -1) + 5/27 DATA(2, 1, 1) - --- DATA(2, 0, -1) + 432 432 + + 49 + - 7/27 DATA(2, 0, 1) + -- DATA(1, 0, -1) + 7/36 DATA(1, 2, -1) + 54 + + + 4/9 DATA(1, 2, 1) + 1/18 DATA(2, 2, 0) - 4/9 DATA(1, 2, 0) + + 56 49 + + 4/9 DATA(-1, 2, 0) + -- DATA(-1, 0, 0) + -- DATA(-1, 0, 2) + 27 54 + + 49 35 + - -- DATA(1, 0, 2) + -- DATA(1, 1, 2) - 7/288 DATA(2, 2, -1) + 54 54 + + 35 + - 1/18 DATA(2, 2, 1) + --- DATA(2, -1, -1) + 5/36 DATA(2, -1, 1) + 576 + + 35 35 + - 10/9 DATA(-1, -1, 0) - -- DATA(-1, -1, 2) - --- DATA(2, -1, 2) + 72 576 + + 35 + + 7/36 DATA(-1, 2, 2) + 7/288 DATA(2, 2, 2) + -- DATA(1, -1, 2) + 72 + + 35 35 + - --- DATA(2, 1, 2) - -- DATA(-1, 1, 2) - 7/36 DATA(1, 2, 2) + 432 54 + + 35 + + 2/27 DATA(-1, 3, 1) + 1/108 DATA(2, 3, 1) - --- DATA(-2, 1, -1) + 432 + + 35 + + 5/27 DATA(-2, 1, 0) + --- DATA(-2, 1, 2) - 5/432 DATA(-2, 1, 3) + 432 + + + 7/864 DATA(-2, -2, -1) - 1/54 DATA(-2, -2, 0) - 7/864 DATA(-2, -2, 2) + + 35 + + 1/864 DATA(-2, -2, 3) - --- DATA(-2, -1, -1) + 5/36 DATA(-2, -1, 0) + 576 + + 35 + + --- DATA(-2, -1, 2) - 5/576 DATA(-2, -1, 3) + 7/288 DATA(-2, 2, -1) + 576 + + - 1/18 DATA(-2, 2, 0) - 7/288 DATA(-2, 2, 2) + 1/288 DATA(-2, 2, 3) + + - 1/36 DATA(-1, 2, 3) + 5/72 DATA(-1, -1, 3) + 5/54 DATA(-1, 1, 3) + + - 7/108 DATA(-1, -2, -1) + 4/27 DATA(-1, -2, 0) + 7/108 DATA(-1, -2, 2) + + - 1/108 DATA(-1, -2, 3) - 5/54 DATA(1, 1, 3) - 5/72 DATA(1, -1, 3) + + + 7/108 DATA(1, -2, -1) - 4/27 DATA(1, -2, 0) - 7/108 DATA(1, -2, 2) + + + 1/108 DATA(1, -2, 3) - 7/864 DATA(2, -2, -1) + 1/54 DATA(2, -2, 0) + + + 7/864 DATA(2, -2, 2) - 1/864 DATA(2, -2, 3) + 5/576 DATA(2, -1, 3) + + + 1/36 DATA(1, 2, 3) + 5/432 DATA(2, 1, 3) - 1/288 DATA(2, 2, 3) + + - 7/1728 DATA(-2, 3, -1) + 1/108 DATA(-2, 3, 0) + 7/1728 DATA(-2, 3, 2) + + 49 + - 1/1728 DATA(-2, 3, 3) + --- DATA(-2, 0, -1) - 7/27 DATA(-2, 0, 0) + 432 + + 49 + - --- DATA(-2, 0, 2) + 7/432 DATA(-2, 0, 3) + 7/216 DATA(-1, 3, -1) + 432 + + - 2/27 DATA(-1, 3, 0) - 7/216 DATA(-1, 3, 2) + 1/216 DATA(-1, 3, 3) + + - 7/54 DATA(-1, 0, 3) + 7/54 DATA(1, 0, 3) + 7/216 DATA(1, 3, 2) + + - 1/216 DATA(1, 3, 3) - 7/216 DATA(1, 3, -1) + 2/27 DATA(1, 3, 0) + + - 7/432 DATA(2, 0, 3) + 7/1728 DATA(2, 3, -1) - 1/108 DATA(2, 3, 0) + + \ 2 3 / + - 7/1728 DATA(2, 3, 2) + 1/1728 DATA(2, 3, 3)| x y z + | + / \ + + 196 100 + 14/9 DATA(2, 0, 0) + --- DATA(0, 0, 0) - --- DATA(1, 1, 1) + 27 27 + + 196 140 140 + - --- DATA(0, 0, 1) - --- DATA(0, 1, 0) + --- DATA(0, 1, 1) + 27 27 27 + + 140 140 100 + - --- DATA(1, 0, 0) + --- DATA(1, 0, 1) + --- DATA(1, 1, 0) + 27 27 27 + + 49 + + -- DATA(2, 0, 2) - 1/27 DATA(-2, -2, 1) + 5/18 DATA(-2, -1, 1) + 72 + + 10 + + -- DATA(-2, 1, 1) - 1/9 DATA(-2, 2, 1) + 5/18 DATA(-1, -2, 1) + 27 + + 10 + + -- DATA(1, -2, 1) - 7/1728 DATA(3, 3, -1) + 1/108 DATA(3, 3, 0) + 27 + + 49 + + 7/1728 DATA(3, 3, 2) - 1/1728 DATA(3, 3, 3) + --- DATA(3, 0, -1) + 432 + + 49 + - 7/27 DATA(3, 0, 0) - --- DATA(3, 0, 2) + 7/432 DATA(3, 0, 3) + 432 + + 14 + - 5/27 DATA(1, 3, 1) - -- DATA(-2, 0, 1) + 1/54 DATA(-2, 3, 1) + 27 + + 14 + - 1/9 DATA(2, -2, 1) - -- DATA(0, -2, 1) + 1/54 DATA(3, -2, 1) + 27 + + 25 35 + - 5/27 DATA(3, 1, 1) + --- DATA(-1, -1, -2) - --- DATA(-1, 0, -2) + 192 144 + + 25 35 + + 5/432 DATA(3, 1, -2) + --- DATA(-1, 1, -2) - --- DATA(0, 1, -2) + 144 108 + + 35 49 + - 5/72 DATA(2, 1, -2) - --- DATA(0, -1, -2) + --- DATA(0, 0, -2) + 144 108 + + - 5/96 DATA(2, -1, -2) + 7/72 DATA(2, 0, -2) + 7/72 DATA(0, 2, -2) + + - 7/432 DATA(0, 3, -2) + 5/576 DATA(-1, 3, -2) - 5/96 DATA(-1, 2, -2) + + + 1/48 DATA(2, 2, -2) - 1/288 DATA(2, 3, -2) + 5/576 DATA(3, -1, -2) + + 25 + - 7/432 DATA(3, 0, -2) - 1/288 DATA(3, 2, -2) + --- DATA(1, 1, -2) + 108 + + - 5/288 DATA(-2, -1, -2) + 7/216 DATA(-2, 0, -2) + 1/144 DATA(-2, 2, -2) + + 35 + - 1/864 DATA(-2, 3, -2) - --- DATA(1, 0, -2) - 5/72 DATA(1, 2, -2) + 108 + + 25 + + 5/432 DATA(1, 3, -2) + 1/1728 DATA(3, 3, -2) + --- DATA(1, -1, -2) + 144 + + + 7/216 DATA(0, -2, -2) - 5/288 DATA(-1, -2, -2) - 5/216 DATA(-2, 1, -2) + + + 1/144 DATA(2, -2, -2) + 1/432 DATA(-2, -2, -2) - 1/864 DATA(3, -2, -2) + + 175 + - 5/216 DATA(1, -2, -2) - 25/9 DATA(-1, 1, 1) - --- DATA(-1, -1, -1) + 192 + + 25 175 175 + - -- DATA(-1, -1, 1) - --- DATA(-1, 1, -1) - --- DATA(1, -1, -1) + 12 144 144 + + 175 245 + - 25/9 DATA(1, -1, 1) - --- DATA(1, 1, -1) + --- DATA(-1, 0, -1) + 108 144 + + 35 + + 35/9 DATA(-1, 0, 1) + -- DATA(-1, 2, -1) + 5/6 DATA(-1, 2, 1) + 96 + + + 25/9 DATA(1, -1, 0) - 5/6 DATA(2, -1, 0) - 10/9 DATA(2, 1, 0) + + 35 + + 25/9 DATA(-1, 1, 0) + -- DATA(2, 1, -1) + 10/9 DATA(2, 1, 1) + 72 + + 245 49 + + --- DATA(0, -1, -1) + 35/9 DATA(0, -1, 1) - -- DATA(0, 2, -1) + 144 72 + + 49 + - 14/9 DATA(0, 2, 1) - -- DATA(2, 0, -1) - 14/9 DATA(2, 0, 1) + 72 + + 343 245 245 + - --- DATA(0, 0, -1) + --- DATA(0, 1, -1) + --- DATA(1, 0, -1) + 108 108 108 + + 35 + + -- DATA(1, 2, -1) + 10/9 DATA(1, 2, 1) + 1/3 DATA(2, 2, 0) + 72 + + - 10/9 DATA(1, 2, 0) - 5/6 DATA(-1, 2, 0) - 35/9 DATA(-1, 0, 0) + + 245 245 + - --- DATA(-1, 0, 2) - --- DATA(1, 0, 2) + 14/9 DATA(0, 2, 0) + 144 108 + + 49 343 245 + + -- DATA(0, 2, 2) + --- DATA(0, 0, 2) - --- DATA(0, 1, 2) + 72 108 108 + + 245 175 + - 35/9 DATA(0, -1, 0) - --- DATA(0, -1, 2) + --- DATA(1, 1, 2) + 144 108 + + 35 + - 7/48 DATA(2, 2, -1) - 1/3 DATA(2, 2, 1) + -- DATA(2, -1, -1) + 96 + + 25 175 + + 5/6 DATA(2, -1, 1) + -- DATA(-1, -1, 0) + --- DATA(-1, -1, 2) + 12 192 + + 35 35 + - -- DATA(2, -1, 2) - -- DATA(-1, 2, 2) + 7/48 DATA(2, 2, 2) + 96 96 + + 175 35 175 + + --- DATA(1, -1, 2) - -- DATA(2, 1, 2) + --- DATA(-1, 1, 2) + 144 72 144 + + 35 + - -- DATA(1, 2, 2) + 7/864 DATA(3, -2, -1) - 1/54 DATA(3, -2, 0) + 72 + + 35 + - 7/864 DATA(3, -2, 2) + 1/864 DATA(3, -2, 3) - --- DATA(3, -1, -1) + 576 + + 35 + + 5/36 DATA(3, -1, 0) + --- DATA(3, -1, 2) - 5/576 DATA(3, -1, 3) + 576 + + 35 35 + - --- DATA(3, 1, -1) + 5/27 DATA(3, 1, 0) + --- DATA(3, 1, 2) + 432 432 + + - 5/432 DATA(3, 1, 3) + 7/288 DATA(3, 2, -1) - 1/18 DATA(3, 2, 0) + + 49 + - 7/288 DATA(3, 2, 2) + 1/288 DATA(3, 2, 3) - --- DATA(0, 0, 3) + 108 + + 49 49 + + --- DATA(0, 3, -1) - 7/27 DATA(0, 3, 0) - --- DATA(0, 3, 2) + 432 432 + + + 7/432 DATA(0, 3, 3) - 5/36 DATA(-1, 3, 1) + 7/27 DATA(0, 3, 1) + + + 1/18 DATA(2, 3, 1) - 5/36 DATA(3, -1, 1) + 7/27 DATA(3, 0, 1) + + 49 + + 1/18 DATA(3, 2, 1) - 1/108 DATA(3, 3, 1) - --- DATA(0, -2, -1) + 216 + + 14 49 + + -- DATA(0, -2, 0) + --- DATA(0, -2, 2) - 7/216 DATA(0, -2, 3) + 27 216 + + 35 35 + + --- DATA(0, -1, 3) + --- DATA(0, 1, 3) - 7/72 DATA(0, 2, 3) + 144 108 + + 35 10 35 + + --- DATA(-2, 1, -1) - -- DATA(-2, 1, 0) - --- DATA(-2, 1, 2) + 216 27 216 + + + 5/216 DATA(-2, 1, 3) - 7/432 DATA(-2, -2, -1) + 1/27 DATA(-2, -2, 0) + + 35 + + 7/432 DATA(-2, -2, 2) - 1/432 DATA(-2, -2, 3) + --- DATA(-2, -1, -1) + 288 + + 35 + - 5/18 DATA(-2, -1, 0) - --- DATA(-2, -1, 2) + 5/288 DATA(-2, -1, 3) + 288 + + - 7/144 DATA(-2, 2, -1) + 1/9 DATA(-2, 2, 0) + 7/144 DATA(-2, 2, 2) + + 25 + - 1/144 DATA(-2, 2, 3) + 5/96 DATA(-1, 2, 3) - --- DATA(-1, -1, 3) + 192 + + 25 35 + - --- DATA(-1, 1, 3) + --- DATA(-1, -2, -1) - 5/18 DATA(-1, -2, 0) + 144 288 + + 35 25 + - --- DATA(-1, -2, 2) + 5/288 DATA(-1, -2, 3) - --- DATA(1, 1, 3) + 288 108 + + 25 35 10 + - --- DATA(1, -1, 3) + --- DATA(1, -2, -1) - -- DATA(1, -2, 0) + 144 216 27 + + 35 + - --- DATA(1, -2, 2) + 5/216 DATA(1, -2, 3) - 7/144 DATA(2, -2, -1) + 216 + + + 1/9 DATA(2, -2, 0) + 7/144 DATA(2, -2, 2) - 1/144 DATA(2, -2, 3) + + + 5/96 DATA(2, -1, 3) + 5/72 DATA(1, 2, 3) + 5/72 DATA(2, 1, 3) + + - 1/48 DATA(2, 2, 3) + 7/864 DATA(-2, 3, -1) - 1/54 DATA(-2, 3, 0) + + 49 + - 7/864 DATA(-2, 3, 2) + 1/864 DATA(-2, 3, 3) - --- DATA(-2, 0, -1) + 216 + + 14 49 + + -- DATA(-2, 0, 0) + --- DATA(-2, 0, 2) - 7/216 DATA(-2, 0, 3) + 27 216 + + 35 35 + - --- DATA(-1, 3, -1) + 5/36 DATA(-1, 3, 0) + --- DATA(-1, 3, 2) + 576 576 + + 35 35 + - 5/576 DATA(-1, 3, 3) + --- DATA(-1, 0, 3) + --- DATA(1, 0, 3) + 144 108 + + 35 35 + + --- DATA(1, 3, 2) - 5/432 DATA(1, 3, 3) - --- DATA(1, 3, -1) + 432 432 + + + 5/27 DATA(1, 3, 0) - 7/72 DATA(2, 0, 3) + 7/288 DATA(2, 3, -1) + + \ 2 2 3 + - 1/18 DATA(2, 3, 0) - 7/288 DATA(2, 3, 2) + 1/288 DATA(2, 3, 3)| x y z + / + + / 32 32 + + |- 4/27 DATA(2, 0, 0) + -- DATA(1, 1, 1) + -- DATA(1, 0, 0) + \ 27 27 + + 32 32 + - -- DATA(1, 0, 1) - -- DATA(1, 1, 0) - 7/108 DATA(2, 0, 2) + 27 27 + + - 1/108 DATA(-2, -2, 1) + 7/108 DATA(-2, -1, 1) + 4/27 DATA(-2, 1, 1) + + - 7/108 DATA(-2, 2, 1) + 2/27 DATA(-1, -2, 1) - 2/27 DATA(1, -2, 1) + + + 2/27 DATA(1, 3, 1) - 4/27 DATA(-2, 0, 1) + 1/108 DATA(-2, 3, 1) + + + 1/108 DATA(2, -2, 1) + 7/216 DATA(-1, -1, -2) - 2/27 DATA(-1, 0, -2) + + + 2/27 DATA(-1, 1, -2) + 1/108 DATA(2, 1, -2) + 7/1728 DATA(2, -1, -2) + + - 1/108 DATA(2, 0, -2) + 1/216 DATA(-1, 3, -2) - 7/216 DATA(-1, 2, -2) + + - 7/1728 DATA(2, 2, -2) + 1/1728 DATA(2, 3, -2) - 2/27 DATA(1, 1, -2) + + - 7/1728 DATA(-2, -1, -2) + 1/108 DATA(-2, 0, -2) + 7/1728 DATA(-2, 2, -2) + + - 1/1728 DATA(-2, 3, -2) + 2/27 DATA(1, 0, -2) + 7/216 DATA(1, 2, -2) + + - 1/216 DATA(1, 3, -2) - 7/216 DATA(1, -1, -2) - 1/216 DATA(-1, -2, -2) + + - 1/108 DATA(-2, 1, -2) - 1/1728 DATA(2, -2, -2) + 1/1728 DATA(-2, -2, -2) + + 32 49 + + 1/216 DATA(1, -2, -2) - -- DATA(-1, 1, 1) - --- DATA(-1, -1, -1) + 27 216 + + 14 14 49 + - -- DATA(-1, -1, 1) - -- DATA(-1, 1, -1) + --- DATA(1, -1, -1) + 27 27 216 + + 14 14 14 + + -- DATA(1, -1, 1) + -- DATA(1, 1, -1) + -- DATA(-1, 0, -1) + 27 27 27 + + 32 49 14 + + -- DATA(-1, 0, 1) + --- DATA(-1, 2, -1) + -- DATA(-1, 2, 1) + 27 216 27 + + 14 + - -- DATA(1, -1, 0) + 7/108 DATA(2, -1, 0) + 4/27 DATA(2, 1, 0) + 27 + + 32 + + -- DATA(-1, 1, 0) - 7/108 DATA(2, 1, -1) - 4/27 DATA(2, 1, 1) + 27 + + 14 + + 7/108 DATA(2, 0, -1) + 4/27 DATA(2, 0, 1) - -- DATA(1, 0, -1) + 27 + + 49 14 + - --- DATA(1, 2, -1) - -- DATA(1, 2, 1) - 7/108 DATA(2, 2, 0) + 216 27 + + 14 14 32 + + -- DATA(1, 2, 0) - -- DATA(-1, 2, 0) - -- DATA(-1, 0, 0) + 27 27 27 + + 14 14 14 + - -- DATA(-1, 0, 2) + -- DATA(1, 0, 2) - -- DATA(1, 1, 2) + 27 27 27 + + 49 49 + + ---- DATA(2, 2, -1) + 7/108 DATA(2, 2, 1) - ---- DATA(2, -1, -1) + 1728 1728 + + 14 49 + - 7/108 DATA(2, -1, 1) + -- DATA(-1, -1, 0) + --- DATA(-1, -1, 2) + 27 216 + + 49 49 49 + + ---- DATA(2, -1, 2) - --- DATA(-1, 2, 2) - ---- DATA(2, 2, 2) + 1728 216 1728 + + 49 14 + - --- DATA(1, -1, 2) + 7/108 DATA(2, 1, 2) + -- DATA(-1, 1, 2) + 216 27 + + 49 + + --- DATA(1, 2, 2) - 2/27 DATA(-1, 3, 1) - 1/108 DATA(2, 3, 1) + 216 + + + 7/108 DATA(-2, 1, -1) - 4/27 DATA(-2, 1, 0) - 7/108 DATA(-2, 1, 2) + + + 1/108 DATA(-2, 1, 3) - 7/1728 DATA(-2, -2, -1) + 1/108 DATA(-2, -2, 0) + + 49 + + 7/1728 DATA(-2, -2, 2) - 1/1728 DATA(-2, -2, 3) + ---- DATA(-2, -1, -1) + 1728 + + 49 + - 7/108 DATA(-2, -1, 0) - ---- DATA(-2, -1, 2) + 7/1728 DATA(-2, -1, 3) + 1728 + + 49 49 + - ---- DATA(-2, 2, -1) + 7/108 DATA(-2, 2, 0) + ---- DATA(-2, 2, 2) + 1728 1728 + + - 7/1728 DATA(-2, 2, 3) + 7/216 DATA(-1, 2, 3) - 7/216 DATA(-1, -1, 3) + + - 2/27 DATA(-1, 1, 3) + 7/216 DATA(-1, -2, -1) - 2/27 DATA(-1, -2, 0) + + - 7/216 DATA(-1, -2, 2) + 1/216 DATA(-1, -2, 3) + 2/27 DATA(1, 1, 3) + + + 7/216 DATA(1, -1, 3) - 7/216 DATA(1, -2, -1) + 2/27 DATA(1, -2, 0) + + + 7/216 DATA(1, -2, 2) - 1/216 DATA(1, -2, 3) + 7/1728 DATA(2, -2, -1) + + - 1/108 DATA(2, -2, 0) - 7/1728 DATA(2, -2, 2) + 1/1728 DATA(2, -2, 3) + + - 7/1728 DATA(2, -1, 3) - 7/216 DATA(1, 2, 3) - 1/108 DATA(2, 1, 3) + + + 7/1728 DATA(2, 2, 3) + 7/1728 DATA(-2, 3, -1) - 1/108 DATA(-2, 3, 0) + + - 7/1728 DATA(-2, 3, 2) + 1/1728 DATA(-2, 3, 3) - 7/108 DATA(-2, 0, -1) + + + 4/27 DATA(-2, 0, 0) + 7/108 DATA(-2, 0, 2) - 1/108 DATA(-2, 0, 3) + + - 7/216 DATA(-1, 3, -1) + 2/27 DATA(-1, 3, 0) + 7/216 DATA(-1, 3, 2) + + - 1/216 DATA(-1, 3, 3) + 2/27 DATA(-1, 0, 3) - 2/27 DATA(1, 0, 3) + + - 7/216 DATA(1, 3, 2) + 1/216 DATA(1, 3, 3) + 7/216 DATA(1, 3, -1) + + - 2/27 DATA(1, 3, 0) + 1/108 DATA(2, 0, 3) - 7/1728 DATA(2, 3, -1) + + \ 3 + + 1/108 DATA(2, 3, 0) + 7/1728 DATA(2, 3, 2) - 1/1728 DATA(2, 3, 3)| x y + / + + 3 / 40 + z + DATA(0, 0, 0) + |7/27 DATA(2, 0, 0) - -- DATA(1, 1, 1) + \ 27 + + 56 40 56 + - -- DATA(1, 0, 0) + -- DATA(1, 0, 1) + -- DATA(1, 1, 0) + 27 27 27 + + 35 + + 1/18 DATA(2, 0, 2) + 5/432 DATA(-2, -2, 1) - --- DATA(-2, -1, 1) + 432 + + 35 + - 5/27 DATA(-2, 1, 1) + --- DATA(-2, 2, 1) - 5/54 DATA(-1, -2, 1) + 432 + + + 5/54 DATA(1, -2, 1) - 5/54 DATA(1, 3, 1) + 5/27 DATA(-2, 0, 1) + + - 5/432 DATA(-2, 3, 1) - 5/432 DATA(2, -2, 1) - 7/108 DATA(-1, -1, -2) + + + 4/27 DATA(-1, 0, -2) - 4/27 DATA(-1, 1, -2) - 1/54 DATA(2, 1, -2) + + - 7/864 DATA(2, -1, -2) + 1/54 DATA(2, 0, -2) - 1/108 DATA(-1, 3, -2) + + + 7/108 DATA(-1, 2, -2) + 7/864 DATA(2, 2, -2) - 1/864 DATA(2, 3, -2) + + + 4/27 DATA(1, 1, -2) + 7/864 DATA(-2, -1, -2) - 1/54 DATA(-2, 0, -2) + + - 7/864 DATA(-2, 2, -2) + 1/864 DATA(-2, 3, -2) - 4/27 DATA(1, 0, -2) + + - 7/108 DATA(1, 2, -2) + 1/108 DATA(1, 3, -2) + 7/108 DATA(1, -1, -2) + + + 1/108 DATA(-1, -2, -2) + 1/54 DATA(-2, 1, -2) + 1/864 DATA(2, -2, -2) + + 40 + - 1/864 DATA(-2, -2, -2) - 1/108 DATA(1, -2, -2) + -- DATA(-1, 1, 1) + 27 + + 35 35 + + -- DATA(-1, -1, -1) + -- DATA(-1, -1, 1) + 10/9 DATA(-1, 1, -1) + 72 54 + + 35 35 + - -- DATA(1, -1, -1) - -- DATA(1, -1, 1) - 10/9 DATA(1, 1, -1) + 72 54 + + 40 35 + - 10/9 DATA(-1, 0, -1) - -- DATA(-1, 0, 1) - -- DATA(-1, 2, -1) + 27 72 + + 35 49 49 + - -- DATA(-1, 2, 1) + -- DATA(1, -1, 0) - --- DATA(2, -1, 0) + 54 54 432 + + 56 + - 7/27 DATA(2, 1, 0) - -- DATA(-1, 1, 0) + 5/36 DATA(2, 1, -1) + 27 + + + 5/27 DATA(2, 1, 1) - 5/36 DATA(2, 0, -1) - 5/27 DATA(2, 0, 1) + + 35 35 + + 10/9 DATA(1, 0, -1) + -- DATA(1, 2, -1) + -- DATA(1, 2, 1) + 72 54 + + 49 49 49 + + --- DATA(2, 2, 0) - -- DATA(1, 2, 0) + -- DATA(-1, 2, 0) + 432 54 54 + + 56 + + -- DATA(-1, 0, 0) + 4/9 DATA(-1, 0, 2) - 4/9 DATA(1, 0, 2) + 27 + + 35 35 + + 4/9 DATA(1, 1, 2) - --- DATA(2, 2, -1) - --- DATA(2, 2, 1) + 576 432 + + 35 35 49 + + --- DATA(2, -1, -1) + --- DATA(2, -1, 1) - -- DATA(-1, -1, 0) + 576 432 54 + + - 7/36 DATA(-1, -1, 2) - 7/288 DATA(2, -1, 2) + 7/36 DATA(-1, 2, 2) + + + 7/288 DATA(2, 2, 2) + 7/36 DATA(1, -1, 2) - 1/18 DATA(2, 1, 2) + + - 4/9 DATA(-1, 1, 2) - 7/36 DATA(1, 2, 2) + 5/54 DATA(-1, 3, 1) + + + 5/432 DATA(2, 3, 1) - 5/36 DATA(-2, 1, -1) + 7/27 DATA(-2, 1, 0) + + + 1/18 DATA(-2, 1, 2) - 1/108 DATA(-2, 1, 3) + 5/576 DATA(-2, -2, -1) + + - 7/432 DATA(-2, -2, 0) - 1/288 DATA(-2, -2, 2) + 1/1728 DATA(-2, -2, 3) + + 35 49 + - --- DATA(-2, -1, -1) + --- DATA(-2, -1, 0) + 7/288 DATA(-2, -1, 2) + 576 432 + + 35 49 + - 7/1728 DATA(-2, -1, 3) + --- DATA(-2, 2, -1) - --- DATA(-2, 2, 0) + 576 432 + + - 7/288 DATA(-2, 2, 2) + 7/1728 DATA(-2, 2, 3) - 7/216 DATA(-1, 2, 3) + + + 7/216 DATA(-1, -1, 3) + 2/27 DATA(-1, 1, 3) - 5/72 DATA(-1, -2, -1) + + + 7/54 DATA(-1, -2, 0) + 1/36 DATA(-1, -2, 2) - 1/216 DATA(-1, -2, 3) + + - 2/27 DATA(1, 1, 3) - 7/216 DATA(1, -1, 3) + 5/72 DATA(1, -2, -1) + + - 7/54 DATA(1, -2, 0) - 1/36 DATA(1, -2, 2) + 1/216 DATA(1, -2, 3) + + - 5/576 DATA(2, -2, -1) + 7/432 DATA(2, -2, 0) + 1/288 DATA(2, -2, 2) + + - 1/1728 DATA(2, -2, 3) + 7/1728 DATA(2, -1, 3) + 7/216 DATA(1, 2, 3) + + + 1/108 DATA(2, 1, 3) - 7/1728 DATA(2, 2, 3) - 5/576 DATA(-2, 3, -1) + + + 7/432 DATA(-2, 3, 0) + 1/288 DATA(-2, 3, 2) - 1/1728 DATA(-2, 3, 3) + + + 5/36 DATA(-2, 0, -1) - 7/27 DATA(-2, 0, 0) - 1/18 DATA(-2, 0, 2) + + + 1/108 DATA(-2, 0, 3) + 5/72 DATA(-1, 3, -1) - 7/54 DATA(-1, 3, 0) + + - 1/36 DATA(-1, 3, 2) + 1/216 DATA(-1, 3, 3) - 2/27 DATA(-1, 0, 3) + + + 2/27 DATA(1, 0, 3) + 1/36 DATA(1, 3, 2) - 1/216 DATA(1, 3, 3) + + - 5/72 DATA(1, 3, -1) + 7/54 DATA(1, 3, 0) - 1/108 DATA(2, 0, 3) + + + 5/576 DATA(2, 3, -1) - 7/432 DATA(2, 3, 0) - 1/288 DATA(2, 3, 2) + + \ 3 2 / 196 + + 1/1728 DATA(2, 3, 3)| x y z + |14/9 DATA(2, 0, 0) + --- DATA(0, 0, 0) + / \ 27 + + 100 140 196 + - --- DATA(1, 1, 1) - --- DATA(0, 0, 1) - --- DATA(0, 1, 0) + 27 27 27 + + 140 140 100 + + --- DATA(0, 1, 1) - --- DATA(1, 0, 0) + --- DATA(1, 0, 1) + 27 27 27 + + 140 + + --- DATA(1, 1, 0) + 1/3 DATA(2, 0, 2) - 5/216 DATA(-2, -2, 1) + 27 + + 35 10 35 + + --- DATA(-2, -1, 1) + -- DATA(-2, 1, 1) - --- DATA(-2, 2, 1) + 216 27 216 + + 25 25 + + --- DATA(-1, -2, 1) + --- DATA(1, -2, 1) - 5/576 DATA(3, 3, -1) + 144 108 + + + 7/432 DATA(3, 3, 0) + 1/288 DATA(3, 3, 2) - 1/1728 DATA(3, 3, 3) + + + 5/36 DATA(3, 0, -1) - 7/27 DATA(3, 0, 0) - 1/18 DATA(3, 0, 2) + + 25 10 + + 1/108 DATA(3, 0, 3) - --- DATA(1, 3, 1) - -- DATA(-2, 0, 1) + 108 27 + + 35 + + 5/216 DATA(-2, 3, 1) - 5/72 DATA(2, -2, 1) - --- DATA(0, -2, 1) + 108 + + 35 + + 5/432 DATA(3, -2, 1) - 5/27 DATA(3, 1, 1) + --- DATA(-1, -1, -2) + 288 + + - 5/18 DATA(-1, 0, -2) + 1/54 DATA(3, 1, -2) + 5/18 DATA(-1, 1, -2) + + 14 49 + - -- DATA(0, 1, -2) - 1/9 DATA(2, 1, -2) - --- DATA(0, -1, -2) + 27 216 + + 14 + + -- DATA(0, 0, -2) - 7/144 DATA(2, -1, -2) + 1/9 DATA(2, 0, -2) + 27 + + 49 + + --- DATA(0, 2, -2) - 7/216 DATA(0, 3, -2) + 5/288 DATA(-1, 3, -2) + 216 + + 35 + - --- DATA(-1, 2, -2) + 7/144 DATA(2, 2, -2) - 1/144 DATA(2, 3, -2) + 288 + + + 7/864 DATA(3, -1, -2) - 1/54 DATA(3, 0, -2) - 7/864 DATA(3, 2, -2) + + 10 + + -- DATA(1, 1, -2) - 7/432 DATA(-2, -1, -2) + 1/27 DATA(-2, 0, -2) + 27 + + 10 + + 7/432 DATA(-2, 2, -2) - 1/432 DATA(-2, 3, -2) - -- DATA(1, 0, -2) + 27 + + 35 + - --- DATA(1, 2, -2) + 5/216 DATA(1, 3, -2) + 1/864 DATA(3, 3, -2) + 216 + + 35 + + --- DATA(1, -1, -2) + 7/216 DATA(0, -2, -2) - 5/288 DATA(-1, -2, -2) + 216 + + - 1/27 DATA(-2, 1, -2) + 1/144 DATA(2, -2, -2) + 1/432 DATA(-2, -2, -2) + + - 1/864 DATA(3, -2, -2) - 5/216 DATA(1, -2, -2) - 25/9 DATA(-1, 1, 1) + + 175 175 25 + - --- DATA(-1, -1, -1) - --- DATA(-1, -1, 1) - -- DATA(-1, 1, -1) + 192 144 12 + + 175 175 + - --- DATA(1, -1, -1) - --- DATA(1, -1, 1) - 25/9 DATA(1, 1, -1) + 144 108 + + 25 175 + + -- DATA(-1, 0, -1) + 25/9 DATA(-1, 0, 1) + --- DATA(-1, 2, -1) + 12 192 + + 175 245 49 + + --- DATA(-1, 2, 1) + --- DATA(1, -1, 0) - -- DATA(2, -1, 0) + 144 108 72 + + - 14/9 DATA(2, 1, 0) + 35/9 DATA(-1, 1, 0) + 5/6 DATA(2, 1, -1) + + 245 245 + + 10/9 DATA(2, 1, 1) + --- DATA(0, -1, -1) + --- DATA(0, -1, 1) + 144 108 + + 245 245 + - --- DATA(0, 2, -1) - --- DATA(0, 2, 1) - 5/6 DATA(2, 0, -1) + 144 108 + + - 10/9 DATA(2, 0, 1) - 35/9 DATA(0, 0, -1) + 35/9 DATA(0, 1, -1) + + 175 175 + + 25/9 DATA(1, 0, -1) + --- DATA(1, 2, -1) + --- DATA(1, 2, 1) + 144 108 + + 49 245 245 + + -- DATA(2, 2, 0) - --- DATA(1, 2, 0) - --- DATA(-1, 2, 0) + 72 108 144 + + - 35/9 DATA(-1, 0, 0) - 5/6 DATA(-1, 0, 2) - 10/9 DATA(1, 0, 2) + + 343 49 + + --- DATA(0, 2, 0) + -- DATA(0, 2, 2) + 14/9 DATA(0, 0, 2) + 108 72 + + 343 49 + - 14/9 DATA(0, 1, 2) - --- DATA(0, -1, 0) - -- DATA(0, -1, 2) + 108 72 + + 35 35 + + 10/9 DATA(1, 1, 2) - -- DATA(2, 2, -1) - -- DATA(2, 2, 1) + 96 72 + + 35 35 245 + + -- DATA(2, -1, -1) + -- DATA(2, -1, 1) + --- DATA(-1, -1, 0) + 96 72 144 + + 35 35 + + -- DATA(-1, -1, 2) - 7/48 DATA(2, -1, 2) - -- DATA(-1, 2, 2) + 96 96 + + 35 + + 7/48 DATA(2, 2, 2) + -- DATA(1, -1, 2) - 1/3 DATA(2, 1, 2) + 72 + + 35 + + 5/6 DATA(-1, 1, 2) - -- DATA(1, 2, 2) + 5/576 DATA(3, -2, -1) + 72 + + - 7/432 DATA(3, -2, 0) - 1/288 DATA(3, -2, 2) + 1/1728 DATA(3, -2, 3) + + 35 49 + - --- DATA(3, -1, -1) + --- DATA(3, -1, 0) + 7/288 DATA(3, -1, 2) + 576 432 + + - 7/1728 DATA(3, -1, 3) - 5/36 DATA(3, 1, -1) + 7/27 DATA(3, 1, 0) + + 35 + + 1/18 DATA(3, 1, 2) - 1/108 DATA(3, 1, 3) + --- DATA(3, 2, -1) + 576 + + 49 + - --- DATA(3, 2, 0) - 7/288 DATA(3, 2, 2) + 7/1728 DATA(3, 2, 3) + 432 + + 35 49 + - 7/27 DATA(0, 0, 3) + --- DATA(0, 3, -1) - --- DATA(0, 3, 0) + 144 108 + + 25 + - 7/72 DATA(0, 3, 2) + 7/432 DATA(0, 3, 3) - --- DATA(-1, 3, 1) + 144 + + 35 35 + + --- DATA(0, 3, 1) + 5/72 DATA(2, 3, 1) - --- DATA(3, -1, 1) + 108 432 + + 35 + + 5/27 DATA(3, 0, 1) + --- DATA(3, 2, 1) - 5/432 DATA(3, 3, 1) + 432 + + 35 49 + - --- DATA(0, -2, -1) + --- DATA(0, -2, 0) + 7/72 DATA(0, -2, 2) + 144 108 + + 49 + - 7/432 DATA(0, -2, 3) + --- DATA(0, -1, 3) + 7/27 DATA(0, 1, 3) + 432 + + 49 14 + - --- DATA(0, 2, 3) + 5/18 DATA(-2, 1, -1) - -- DATA(-2, 1, 0) + 432 27 + + - 1/9 DATA(-2, 1, 2) + 1/54 DATA(-2, 1, 3) - 5/288 DATA(-2, -2, -1) + + + 7/216 DATA(-2, -2, 0) + 1/144 DATA(-2, -2, 2) - 1/864 DATA(-2, -2, 3) + + 35 49 + + --- DATA(-2, -1, -1) - --- DATA(-2, -1, 0) - 7/144 DATA(-2, -1, 2) + 288 216 + + 35 49 + + 7/864 DATA(-2, -1, 3) - --- DATA(-2, 2, -1) + --- DATA(-2, 2, 0) + 288 216 + + 35 + + 7/144 DATA(-2, 2, 2) - 7/864 DATA(-2, 2, 3) + --- DATA(-1, 2, 3) + 576 + + 35 25 + - --- DATA(-1, -1, 3) - 5/36 DATA(-1, 1, 3) + --- DATA(-1, -2, -1) + 576 192 + + 35 + - --- DATA(-1, -2, 0) - 5/96 DATA(-1, -2, 2) + 5/576 DATA(-1, -2, 3) + 144 + + 35 25 + - 5/27 DATA(1, 1, 3) - --- DATA(1, -1, 3) + --- DATA(1, -2, -1) + 432 144 + + 35 + - --- DATA(1, -2, 0) - 5/72 DATA(1, -2, 2) + 5/432 DATA(1, -2, 3) + 108 + + - 5/96 DATA(2, -2, -1) + 7/72 DATA(2, -2, 0) + 1/48 DATA(2, -2, 2) + + 35 + - 1/288 DATA(2, -2, 3) + 7/288 DATA(2, -1, 3) + --- DATA(1, 2, 3) + 432 + + + 1/18 DATA(2, 1, 3) - 7/288 DATA(2, 2, 3) + 5/288 DATA(-2, 3, -1) + + - 7/216 DATA(-2, 3, 0) - 1/144 DATA(-2, 3, 2) + 1/864 DATA(-2, 3, 3) + + 14 + - 5/18 DATA(-2, 0, -1) + -- DATA(-2, 0, 0) + 1/9 DATA(-2, 0, 2) + 27 + + 25 35 + - 1/54 DATA(-2, 0, 3) - --- DATA(-1, 3, -1) + --- DATA(-1, 3, 0) + 192 144 + + + 5/96 DATA(-1, 3, 2) - 5/576 DATA(-1, 3, 3) + 5/36 DATA(-1, 0, 3) + + + 5/27 DATA(1, 0, 3) + 5/72 DATA(1, 3, 2) - 5/432 DATA(1, 3, 3) + + 25 35 + - --- DATA(1, 3, -1) + --- DATA(1, 3, 0) - 1/18 DATA(2, 0, 3) + 144 108 + + + 5/96 DATA(2, 3, -1) - 7/72 DATA(2, 3, 0) - 1/48 DATA(2, 3, 2) + + \ 2 3 2 / 49 112 + + 1/288 DATA(2, 3, 3)| x y z + |- -- DATA(2, 0, 0) - --- DATA(0, 0, 0) + / \ 27 27 + + 80 80 112 + + -- DATA(1, 1, 1) + -- DATA(0, 0, 1) + --- DATA(0, 1, 0) + 27 27 27 + + 80 112 80 + - -- DATA(0, 1, 1) + --- DATA(1, 0, 0) - -- DATA(1, 0, 1) + 27 27 27 + + 112 + - --- DATA(1, 1, 0) - 7/18 DATA(2, 0, 2) + 5/432 DATA(-2, -2, 1) + 27 + + 35 35 + - --- DATA(-2, -1, 1) - 5/27 DATA(-2, 1, 1) + --- DATA(-2, 2, 1) + 432 432 + + 35 + - --- DATA(-1, -2, 1) - 5/27 DATA(1, -2, 1) + 5/576 DATA(3, 3, -1) + 432 + + - 7/432 DATA(3, 3, 0) - 1/288 DATA(3, 3, 2) + 1/1728 DATA(3, 3, 3) + + - 5/36 DATA(3, 0, -1) + 7/27 DATA(3, 0, 0) + 1/18 DATA(3, 0, 2) + + - 1/108 DATA(3, 0, 3) + 5/27 DATA(1, 3, 1) + 5/27 DATA(-2, 0, 1) + + 35 + - 5/432 DATA(-2, 3, 1) + --- DATA(2, -2, 1) + 5/27 DATA(0, -2, 1) + 432 + + 49 + - 5/432 DATA(3, -2, 1) + 5/27 DATA(3, 1, 1) - --- DATA(-1, -1, -2) + 864 + + + 7/54 DATA(-1, 0, -2) - 1/54 DATA(3, 1, -2) - 7/54 DATA(-1, 1, -2) + + + 8/27 DATA(0, 1, -2) + 7/54 DATA(2, 1, -2) + 7/54 DATA(0, -1, -2) + + 49 + - 8/27 DATA(0, 0, -2) + --- DATA(2, -1, -2) - 7/54 DATA(2, 0, -2) + 864 + + - 7/54 DATA(0, 2, -2) + 1/54 DATA(0, 3, -2) - 7/864 DATA(-1, 3, -2) + + 49 49 + + --- DATA(-1, 2, -2) - --- DATA(2, 2, -2) + 7/864 DATA(2, 3, -2) + 864 864 + + - 7/864 DATA(3, -1, -2) + 1/54 DATA(3, 0, -2) + 7/864 DATA(3, 2, -2) + + - 8/27 DATA(1, 1, -2) + 7/864 DATA(-2, -1, -2) - 1/54 DATA(-2, 0, -2) + + - 7/864 DATA(-2, 2, -2) + 1/864 DATA(-2, 3, -2) + 8/27 DATA(1, 0, -2) + + + 7/54 DATA(1, 2, -2) - 1/54 DATA(1, 3, -2) - 1/864 DATA(3, 3, -2) + + - 7/54 DATA(1, -1, -2) - 1/54 DATA(0, -2, -2) + 7/864 DATA(-1, -2, -2) + + + 1/54 DATA(-2, 1, -2) - 7/864 DATA(2, -2, -2) - 1/864 DATA(-2, -2, -2) + + 35 + + 1/864 DATA(3, -2, -2) + 1/54 DATA(1, -2, -2) + -- DATA(-1, 1, 1) + 27 + + 245 245 35 + + --- DATA(-1, -1, -1) + --- DATA(-1, -1, 1) + -- DATA(-1, 1, -1) + 576 432 36 + + 35 35 + + -- DATA(1, -1, -1) + -- DATA(1, -1, 1) + 20/9 DATA(1, 1, -1) + 36 27 + + 35 35 245 + - -- DATA(-1, 0, -1) - -- DATA(-1, 0, 1) - --- DATA(-1, 2, -1) + 36 27 576 + + 245 49 343 + - --- DATA(-1, 2, 1) - -- DATA(1, -1, 0) + --- DATA(2, -1, 0) + 432 27 432 + + 49 49 35 + + -- DATA(2, 1, 0) - -- DATA(-1, 1, 0) - -- DATA(2, 1, -1) + 27 27 36 + + 35 35 35 + - -- DATA(2, 1, 1) - -- DATA(0, -1, -1) - -- DATA(0, -1, 1) + 27 36 27 + + 35 35 35 + + -- DATA(0, 2, -1) + -- DATA(0, 2, 1) + -- DATA(2, 0, -1) + 36 27 36 + + 35 + + -- DATA(2, 0, 1) + 20/9 DATA(0, 0, -1) - 20/9 DATA(0, 1, -1) + 27 + + 35 35 + - 20/9 DATA(1, 0, -1) - -- DATA(1, 2, -1) - -- DATA(1, 2, 1) + 36 27 + + 343 49 343 + - --- DATA(2, 2, 0) + -- DATA(1, 2, 0) + --- DATA(-1, 2, 0) + 432 27 432 + + 49 + + -- DATA(-1, 0, 0) + 7/18 DATA(-1, 0, 2) + 8/9 DATA(1, 0, 2) + 27 + + 49 + - -- DATA(0, 2, 0) - 7/18 DATA(0, 2, 2) - 8/9 DATA(0, 0, 2) + 27 + + 49 + + 8/9 DATA(0, 1, 2) + -- DATA(0, -1, 0) + 7/18 DATA(0, -1, 2) + 27 + + 245 245 + - 8/9 DATA(1, 1, 2) + --- DATA(2, 2, -1) + --- DATA(2, 2, 1) + 576 432 + + 245 245 343 + - --- DATA(2, -1, -1) - --- DATA(2, -1, 1) - --- DATA(-1, -1, 0) + 576 432 432 + + 49 49 49 + - --- DATA(-1, -1, 2) + --- DATA(2, -1, 2) + --- DATA(-1, 2, 2) + 288 288 288 + + 49 + - --- DATA(2, 2, 2) - 7/18 DATA(1, -1, 2) + 7/18 DATA(2, 1, 2) + 288 + + - 7/18 DATA(-1, 1, 2) + 7/18 DATA(1, 2, 2) - 5/576 DATA(3, -2, -1) + + + 7/432 DATA(3, -2, 0) + 1/288 DATA(3, -2, 2) - 1/1728 DATA(3, -2, 3) + + 35 49 + + --- DATA(3, -1, -1) - --- DATA(3, -1, 0) - 7/288 DATA(3, -1, 2) + 576 432 + + + 7/1728 DATA(3, -1, 3) + 5/36 DATA(3, 1, -1) - 7/27 DATA(3, 1, 0) + + 35 + - 1/18 DATA(3, 1, 2) + 1/108 DATA(3, 1, 3) - --- DATA(3, 2, -1) + 576 + + 49 + + --- DATA(3, 2, 0) + 7/288 DATA(3, 2, 2) - 7/1728 DATA(3, 2, 3) + 432 + + + 4/27 DATA(0, 0, 3) - 5/36 DATA(0, 3, -1) + 7/27 DATA(0, 3, 0) + + 35 + + 1/18 DATA(0, 3, 2) - 1/108 DATA(0, 3, 3) + --- DATA(-1, 3, 1) + 432 + + 35 35 + - 5/27 DATA(0, 3, 1) - --- DATA(2, 3, 1) + --- DATA(3, -1, 1) + 432 432 + + 35 + - 5/27 DATA(3, 0, 1) - --- DATA(3, 2, 1) + 5/432 DATA(3, 3, 1) + 432 + + + 5/36 DATA(0, -2, -1) - 7/27 DATA(0, -2, 0) - 1/18 DATA(0, -2, 2) + + + 1/108 DATA(0, -2, 3) - 7/108 DATA(0, -1, 3) - 4/27 DATA(0, 1, 3) + + + 7/108 DATA(0, 2, 3) - 5/36 DATA(-2, 1, -1) + 7/27 DATA(-2, 1, 0) + + + 1/18 DATA(-2, 1, 2) - 1/108 DATA(-2, 1, 3) + 5/576 DATA(-2, -2, -1) + + - 7/432 DATA(-2, -2, 0) - 1/288 DATA(-2, -2, 2) + 1/1728 DATA(-2, -2, 3) + + 35 49 + - --- DATA(-2, -1, -1) + --- DATA(-2, -1, 0) + 7/288 DATA(-2, -1, 2) + 576 432 + + 35 49 + - 7/1728 DATA(-2, -1, 3) + --- DATA(-2, 2, -1) - --- DATA(-2, 2, 0) + 576 432 + + 49 + - 7/288 DATA(-2, 2, 2) + 7/1728 DATA(-2, 2, 3) - ---- DATA(-1, 2, 3) + 1728 + + 49 35 + + ---- DATA(-1, -1, 3) + 7/108 DATA(-1, 1, 3) - --- DATA(-1, -2, -1) + 1728 576 + + 49 + + --- DATA(-1, -2, 0) + 7/288 DATA(-1, -2, 2) - 7/1728 DATA(-1, -2, 3) + 432 + + + 4/27 DATA(1, 1, 3) + 7/108 DATA(1, -1, 3) - 5/36 DATA(1, -2, -1) + + + 7/27 DATA(1, -2, 0) + 1/18 DATA(1, -2, 2) - 1/108 DATA(1, -2, 3) + + 35 49 + + --- DATA(2, -2, -1) - --- DATA(2, -2, 0) - 7/288 DATA(2, -2, 2) + 576 432 + + 49 + + 7/1728 DATA(2, -2, 3) - ---- DATA(2, -1, 3) - 7/108 DATA(1, 2, 3) + 1728 + + 49 + - 7/108 DATA(2, 1, 3) + ---- DATA(2, 2, 3) - 5/576 DATA(-2, 3, -1) + 1728 + + + 7/432 DATA(-2, 3, 0) + 1/288 DATA(-2, 3, 2) - 1/1728 DATA(-2, 3, 3) + + + 5/36 DATA(-2, 0, -1) - 7/27 DATA(-2, 0, 0) - 1/18 DATA(-2, 0, 2) + + 35 49 + + 1/108 DATA(-2, 0, 3) + --- DATA(-1, 3, -1) - --- DATA(-1, 3, 0) + 576 432 + + - 7/288 DATA(-1, 3, 2) + 7/1728 DATA(-1, 3, 3) - 7/108 DATA(-1, 0, 3) + + - 4/27 DATA(1, 0, 3) - 1/18 DATA(1, 3, 2) + 1/108 DATA(1, 3, 3) + + + 5/36 DATA(1, 3, -1) - 7/27 DATA(1, 3, 0) + 7/108 DATA(2, 0, 3) + + 35 49 + - --- DATA(2, 3, -1) + --- DATA(2, 3, 0) + 7/288 DATA(2, 3, 2) + 576 432 + + \ 3 3 2 / 49 112 + - 7/1728 DATA(2, 3, 3)| x y z + |- -- DATA(2, 0, 0) - --- DATA(0, 0, 0) + / \ 27 27 + + 80 112 80 + + -- DATA(1, 1, 1) + --- DATA(0, 0, 1) + -- DATA(0, 1, 0) + 27 27 27 + + 80 112 112 + - -- DATA(0, 1, 1) + --- DATA(1, 0, 0) - --- DATA(1, 0, 1) + 27 27 27 + + 80 343 + - -- DATA(1, 1, 0) - --- DATA(2, 0, 2) + 1/54 DATA(-2, -2, 1) + 27 432 + + - 5/36 DATA(-2, -1, 1) - 5/27 DATA(-2, 1, 1) + 1/18 DATA(-2, 2, 1) + + - 7/54 DATA(-1, -2, 1) - 8/27 DATA(1, -2, 1) + 7/1728 DATA(3, 3, -1) + + - 1/108 DATA(3, 3, 0) - 7/1728 DATA(3, 3, 2) + 1/1728 DATA(3, 3, 3) + + 49 49 + - --- DATA(3, 0, -1) + 7/27 DATA(3, 0, 0) + --- DATA(3, 0, 2) + 432 432 + + - 7/432 DATA(3, 0, 3) + 4/27 DATA(1, 3, 1) + 7/27 DATA(-2, 0, 1) + + - 1/108 DATA(-2, 3, 1) + 7/54 DATA(2, -2, 1) + 8/27 DATA(0, -2, 1) + + 35 + - 1/54 DATA(3, -2, 1) + 5/27 DATA(3, 1, 1) - --- DATA(-1, -1, -2) + 576 + + 49 35 + + --- DATA(-1, 0, -2) - 5/432 DATA(3, 1, -2) - --- DATA(-1, 1, -2) + 432 432 + + 35 + + 5/27 DATA(0, 1, -2) + --- DATA(2, 1, -2) + 5/36 DATA(0, -1, -2) + 432 + + 35 49 + - 7/27 DATA(0, 0, -2) + --- DATA(2, -1, -2) - --- DATA(2, 0, -2) + 576 432 + + - 1/18 DATA(0, 2, -2) + 1/108 DATA(0, 3, -2) - 7/1728 DATA(-1, 3, -2) + + + 7/288 DATA(-1, 2, -2) - 7/288 DATA(2, 2, -2) + 7/1728 DATA(2, 3, -2) + + - 5/576 DATA(3, -1, -2) + 7/432 DATA(3, 0, -2) + 1/288 DATA(3, 2, -2) + + - 5/27 DATA(1, 1, -2) + 5/576 DATA(-2, -1, -2) - 7/432 DATA(-2, 0, -2) + + - 1/288 DATA(-2, 2, -2) + 1/1728 DATA(-2, 3, -2) + 7/27 DATA(1, 0, -2) + + + 1/18 DATA(1, 2, -2) - 1/108 DATA(1, 3, -2) - 1/1728 DATA(3, 3, -2) + + - 5/36 DATA(1, -1, -2) - 1/54 DATA(0, -2, -2) + 7/864 DATA(-1, -2, -2) + + + 5/432 DATA(-2, 1, -2) - 7/864 DATA(2, -2, -2) - 1/864 DATA(-2, -2, -2) + + 35 + + 1/864 DATA(3, -2, -2) + 1/54 DATA(1, -2, -2) + -- DATA(-1, 1, 1) + 27 + + 245 35 245 + + --- DATA(-1, -1, -1) + -- DATA(-1, -1, 1) + --- DATA(-1, 1, -1) + 576 36 432 + + 35 35 + + -- DATA(1, -1, -1) + 20/9 DATA(1, -1, 1) + -- DATA(1, 1, -1) + 36 27 + + 343 49 49 + - --- DATA(-1, 0, -1) - -- DATA(-1, 0, 1) - --- DATA(-1, 2, -1) + 432 27 288 + + 35 + - 7/18 DATA(-1, 2, 1) - 20/9 DATA(1, -1, 0) + -- DATA(2, -1, 0) + 36 + + 35 35 245 + + -- DATA(2, 1, 0) - -- DATA(-1, 1, 0) - --- DATA(2, 1, -1) + 27 27 432 + + 35 35 + - -- DATA(2, 1, 1) - -- DATA(0, -1, -1) - 20/9 DATA(0, -1, 1) + 27 36 + + 343 + + 7/18 DATA(0, 2, -1) + 8/9 DATA(0, 2, 1) + --- DATA(2, 0, -1) + 432 + + 49 49 35 + + -- DATA(2, 0, 1) + -- DATA(0, 0, -1) - -- DATA(0, 1, -1) + 27 27 27 + + 49 + - -- DATA(1, 0, -1) - 7/18 DATA(1, 2, -1) - 8/9 DATA(1, 2, 1) + 27 + + - 7/18 DATA(2, 2, 0) + 8/9 DATA(1, 2, 0) + 7/18 DATA(-1, 2, 0) + + 49 343 49 + + -- DATA(-1, 0, 0) + --- DATA(-1, 0, 2) + -- DATA(1, 0, 2) + 27 432 27 + + 49 + - 8/9 DATA(0, 2, 0) - 7/18 DATA(0, 2, 2) - -- DATA(0, 0, 2) + 27 + + 35 35 + + -- DATA(0, 1, 2) + 20/9 DATA(0, -1, 0) + -- DATA(0, -1, 2) + 27 36 + + 35 49 + - -- DATA(1, 1, 2) + --- DATA(2, 2, -1) + 7/18 DATA(2, 2, 1) + 27 288 + + 245 35 35 + - --- DATA(2, -1, -1) - -- DATA(2, -1, 1) - -- DATA(-1, -1, 0) + 576 36 36 + + 245 245 49 + - --- DATA(-1, -1, 2) + --- DATA(2, -1, 2) + --- DATA(-1, 2, 2) + 576 576 288 + + 49 35 245 + - --- DATA(2, 2, 2) - -- DATA(1, -1, 2) + --- DATA(2, 1, 2) + 288 36 432 + + 245 + - --- DATA(-1, 1, 2) + 7/18 DATA(1, 2, 2) - 7/864 DATA(3, -2, -1) + 432 + + + 1/54 DATA(3, -2, 0) + 7/864 DATA(3, -2, 2) - 1/864 DATA(3, -2, 3) + + 35 35 + + --- DATA(3, -1, -1) - 5/36 DATA(3, -1, 0) - --- DATA(3, -1, 2) + 576 576 + + 35 + + 5/576 DATA(3, -1, 3) + --- DATA(3, 1, -1) - 5/27 DATA(3, 1, 0) + 432 + + 35 + - --- DATA(3, 1, 2) + 5/432 DATA(3, 1, 3) - 7/288 DATA(3, 2, -1) + 432 + + + 1/18 DATA(3, 2, 0) + 7/288 DATA(3, 2, 2) - 1/288 DATA(3, 2, 3) + + + 7/27 DATA(0, 0, 3) - 7/108 DATA(0, 3, -1) + 4/27 DATA(0, 3, 0) + + + 7/108 DATA(0, 3, 2) - 1/108 DATA(0, 3, 3) + 7/108 DATA(-1, 3, 1) + + - 4/27 DATA(0, 3, 1) - 7/108 DATA(2, 3, 1) + 5/36 DATA(3, -1, 1) + + - 7/27 DATA(3, 0, 1) - 1/18 DATA(3, 2, 1) + 1/108 DATA(3, 3, 1) + + + 7/54 DATA(0, -2, -1) - 8/27 DATA(0, -2, 0) - 7/54 DATA(0, -2, 2) + + + 1/54 DATA(0, -2, 3) - 5/36 DATA(0, -1, 3) - 5/27 DATA(0, 1, 3) + + 35 + + 1/18 DATA(0, 2, 3) - --- DATA(-2, 1, -1) + 5/27 DATA(-2, 1, 0) + 432 + + 35 + + --- DATA(-2, 1, 2) - 5/432 DATA(-2, 1, 3) + 7/864 DATA(-2, -2, -1) + 432 + + - 1/54 DATA(-2, -2, 0) - 7/864 DATA(-2, -2, 2) + 1/864 DATA(-2, -2, 3) + + 35 35 + - --- DATA(-2, -1, -1) + 5/36 DATA(-2, -1, 0) + --- DATA(-2, -1, 2) + 576 576 + + - 5/576 DATA(-2, -1, 3) + 7/288 DATA(-2, 2, -1) - 1/18 DATA(-2, 2, 0) + + - 7/288 DATA(-2, 2, 2) + 1/288 DATA(-2, 2, 3) - 7/288 DATA(-1, 2, 3) + + 35 35 49 + + --- DATA(-1, -1, 3) + --- DATA(-1, 1, 3) - --- DATA(-1, -2, -1) + 576 432 864 + + 49 + + 7/54 DATA(-1, -2, 0) + --- DATA(-1, -2, 2) - 7/864 DATA(-1, -2, 3) + 864 + + + 5/27 DATA(1, 1, 3) + 5/36 DATA(1, -1, 3) - 7/54 DATA(1, -2, -1) + + + 8/27 DATA(1, -2, 0) + 7/54 DATA(1, -2, 2) - 1/54 DATA(1, -2, 3) + + 49 49 + + --- DATA(2, -2, -1) - 7/54 DATA(2, -2, 0) - --- DATA(2, -2, 2) + 864 864 + + 35 + + 7/864 DATA(2, -2, 3) - --- DATA(2, -1, 3) - 1/18 DATA(1, 2, 3) + 576 + + 35 + - --- DATA(2, 1, 3) + 7/288 DATA(2, 2, 3) - 7/1728 DATA(-2, 3, -1) + 432 + + + 1/108 DATA(-2, 3, 0) + 7/1728 DATA(-2, 3, 2) - 1/1728 DATA(-2, 3, 3) + + 49 49 + + --- DATA(-2, 0, -1) - 7/27 DATA(-2, 0, 0) - --- DATA(-2, 0, 2) + 432 432 + + 49 + + 7/432 DATA(-2, 0, 3) + ---- DATA(-1, 3, -1) - 7/108 DATA(-1, 3, 0) + 1728 + + 49 49 + - ---- DATA(-1, 3, 2) + 7/1728 DATA(-1, 3, 3) - --- DATA(-1, 0, 3) + 1728 432 + + - 7/27 DATA(1, 0, 3) - 7/108 DATA(1, 3, 2) + 1/108 DATA(1, 3, 3) + + 49 + + 7/108 DATA(1, 3, -1) - 4/27 DATA(1, 3, 0) + --- DATA(2, 0, 3) + 432 + + 49 49 + - ---- DATA(2, 3, -1) + 7/108 DATA(2, 3, 0) + ---- DATA(2, 3, 2) + 1728 1728 + + \ 3 2 3 / 16 16 + - 7/1728 DATA(2, 3, 3)| x y z + |- -- DATA(1, 1, 1) + -- DATA(1, 1, 0) + / \ 27 27 + + - 1/108 DATA(-2, -2, 1) + 2/27 DATA(-2, -1, 1) - 2/27 DATA(-2, 1, 1) + + + 1/108 DATA(-2, 2, 1) + 2/27 DATA(-1, -2, 1) - 2/27 DATA(1, -2, 1) + + + 1/108 DATA(2, -2, 1) + 1/27 DATA(-1, -1, -2) - 1/27 DATA(-1, 1, -2) + + - 1/216 DATA(2, 1, -2) + 1/216 DATA(2, -1, -2) + 1/216 DATA(-1, 2, -2) + + + 1/1728 DATA(2, 2, -2) + 1/27 DATA(1, 1, -2) - 1/216 DATA(-2, -1, -2) + + - 1/1728 DATA(-2, 2, -2) - 1/216 DATA(1, 2, -2) - 1/27 DATA(1, -1, -2) + + - 1/216 DATA(-1, -2, -2) + 1/216 DATA(-2, 1, -2) - 1/1728 DATA(2, -2, -2) + + 16 + + 1/1728 DATA(-2, -2, -2) + 1/216 DATA(1, -2, -2) + -- DATA(-1, 1, 1) + 27 + + 16 + - 7/27 DATA(-1, -1, -1) - -- DATA(-1, -1, 1) + 7/27 DATA(-1, 1, -1) + 27 + + 16 + + 7/27 DATA(1, -1, -1) + -- DATA(1, -1, 1) - 7/27 DATA(1, 1, -1) + 27 + + 16 + - 7/216 DATA(-1, 2, -1) - 2/27 DATA(-1, 2, 1) - -- DATA(1, -1, 0) + 27 + + 16 + + 2/27 DATA(2, -1, 0) - 2/27 DATA(2, 1, 0) - -- DATA(-1, 1, 0) + 27 + + + 7/216 DATA(2, 1, -1) + 2/27 DATA(2, 1, 1) + 7/216 DATA(1, 2, -1) + + + 2/27 DATA(1, 2, 1) + 1/108 DATA(2, 2, 0) - 2/27 DATA(1, 2, 0) + + + 2/27 DATA(-1, 2, 0) + 7/27 DATA(1, 1, 2) - 7/1728 DATA(2, 2, -1) + + - 1/108 DATA(2, 2, 1) - 7/216 DATA(2, -1, -1) - 2/27 DATA(2, -1, 1) + + 16 + + -- DATA(-1, -1, 0) + 7/27 DATA(-1, -1, 2) + 7/216 DATA(2, -1, 2) + 27 + + + 7/216 DATA(-1, 2, 2) + 7/1728 DATA(2, 2, 2) - 7/27 DATA(1, -1, 2) + + - 7/216 DATA(2, 1, 2) - 7/27 DATA(-1, 1, 2) - 7/216 DATA(1, 2, 2) + + - 7/216 DATA(-2, 1, -1) + 2/27 DATA(-2, 1, 0) + 7/216 DATA(-2, 1, 2) + + - 1/216 DATA(-2, 1, 3) - 7/1728 DATA(-2, -2, -1) + 1/108 DATA(-2, -2, 0) + + + 7/1728 DATA(-2, -2, 2) - 1/1728 DATA(-2, -2, 3) + 7/216 DATA(-2, -1, -1) + + - 2/27 DATA(-2, -1, 0) - 7/216 DATA(-2, -1, 2) + 1/216 DATA(-2, -1, 3) + + + 7/1728 DATA(-2, 2, -1) - 1/108 DATA(-2, 2, 0) - 7/1728 DATA(-2, 2, 2) + + + 1/1728 DATA(-2, 2, 3) - 1/216 DATA(-1, 2, 3) - 1/27 DATA(-1, -1, 3) + + + 1/27 DATA(-1, 1, 3) + 7/216 DATA(-1, -2, -1) - 2/27 DATA(-1, -2, 0) + + - 7/216 DATA(-1, -2, 2) + 1/216 DATA(-1, -2, 3) - 1/27 DATA(1, 1, 3) + + + 1/27 DATA(1, -1, 3) - 7/216 DATA(1, -2, -1) + 2/27 DATA(1, -2, 0) + + + 7/216 DATA(1, -2, 2) - 1/216 DATA(1, -2, 3) + 7/1728 DATA(2, -2, -1) + + - 1/108 DATA(2, -2, 0) - 7/1728 DATA(2, -2, 2) + 1/1728 DATA(2, -2, 3) + + - 1/216 DATA(2, -1, 3) + 1/216 DATA(1, 2, 3) + 1/216 DATA(2, 1, 3) + + \ 3 / 112 + - 1/1728 DATA(2, 2, 3)| x y z + |- 8/9 DATA(2, 0, 0) - --- DATA(0, 0, 0) + / \ 27 + + 80 112 112 + + -- DATA(1, 1, 1) + --- DATA(0, 0, 1) + --- DATA(0, 1, 0) + 27 27 27 + + 112 80 80 + - --- DATA(0, 1, 1) + -- DATA(1, 0, 0) - -- DATA(1, 0, 1) + 27 27 27 + + 80 + - -- DATA(1, 1, 0) - 7/18 DATA(2, 0, 2) + 1/54 DATA(-2, -2, 1) + 27 + + - 7/54 DATA(-2, -1, 1) - 8/27 DATA(-2, 1, 1) + 7/54 DATA(-2, 2, 1) + + - 5/36 DATA(-1, -2, 1) - 5/27 DATA(1, -2, 1) + 7/1728 DATA(3, 3, -1) + + - 1/108 DATA(3, 3, 0) - 7/1728 DATA(3, 3, 2) + 1/1728 DATA(3, 3, 3) + + - 7/108 DATA(3, 0, -1) + 4/27 DATA(3, 0, 0) + 7/108 DATA(3, 0, 2) + + - 1/108 DATA(3, 0, 3) + 5/27 DATA(1, 3, 1) + 8/27 DATA(-2, 0, 1) + + - 1/54 DATA(-2, 3, 1) + 1/18 DATA(2, -2, 1) + 7/27 DATA(0, -2, 1) + + 35 + - 1/108 DATA(3, -2, 1) + 4/27 DATA(3, 1, 1) - --- DATA(-1, -1, -2) + 576 + + + 5/36 DATA(-1, 0, -2) - 1/108 DATA(3, 1, -2) - 5/36 DATA(-1, 1, -2) + + 49 + + 7/27 DATA(0, 1, -2) + 1/18 DATA(2, 1, -2) + --- DATA(0, -1, -2) + 432 + + - 7/27 DATA(0, 0, -2) + 7/288 DATA(2, -1, -2) - 1/18 DATA(2, 0, -2) + + 49 + - --- DATA(0, 2, -2) + 7/432 DATA(0, 3, -2) - 5/576 DATA(-1, 3, -2) + 432 + + 35 + + --- DATA(-1, 2, -2) - 7/288 DATA(2, 2, -2) + 1/288 DATA(2, 3, -2) + 576 + + - 7/1728 DATA(3, -1, -2) + 1/108 DATA(3, 0, -2) + 7/1728 DATA(3, 2, -2) + + - 5/27 DATA(1, 1, -2) + 7/864 DATA(-2, -1, -2) - 1/54 DATA(-2, 0, -2) + + - 7/864 DATA(-2, 2, -2) + 1/864 DATA(-2, 3, -2) + 5/27 DATA(1, 0, -2) + + 35 + + --- DATA(1, 2, -2) - 5/432 DATA(1, 3, -2) - 1/1728 DATA(3, 3, -2) + 432 + + 35 + - --- DATA(1, -1, -2) - 7/432 DATA(0, -2, -2) + 5/576 DATA(-1, -2, -2) + 432 + + + 1/54 DATA(-2, 1, -2) - 1/288 DATA(2, -2, -2) - 1/864 DATA(-2, -2, -2) + + + 1/1728 DATA(3, -2, -2) + 5/432 DATA(1, -2, -2) + 20/9 DATA(-1, 1, 1) + + 245 35 35 + + --- DATA(-1, -1, -1) + -- DATA(-1, -1, 1) + -- DATA(-1, 1, -1) + 576 36 36 + + 245 35 35 + + --- DATA(1, -1, -1) + -- DATA(1, -1, 1) + -- DATA(1, 1, -1) + 432 27 27 + + 35 245 + - -- DATA(-1, 0, -1) - 20/9 DATA(-1, 0, 1) - --- DATA(-1, 2, -1) + 36 576 + + 35 35 + - -- DATA(-1, 2, 1) - -- DATA(1, -1, 0) + 7/18 DATA(2, -1, 0) + 36 27 + + + 8/9 DATA(2, 1, 0) - 20/9 DATA(-1, 1, 0) - 7/18 DATA(2, 1, -1) + + 343 49 + - 8/9 DATA(2, 1, 1) - --- DATA(0, -1, -1) - -- DATA(0, -1, 1) + 432 27 + + 343 49 + + --- DATA(0, 2, -1) + -- DATA(0, 2, 1) + 7/18 DATA(2, 0, -1) + 432 27 + + 49 49 + + 8/9 DATA(2, 0, 1) + -- DATA(0, 0, -1) - -- DATA(0, 1, -1) + 27 27 + + 35 245 35 + - -- DATA(1, 0, -1) - --- DATA(1, 2, -1) - -- DATA(1, 2, 1) + 27 432 27 + + 35 35 + - 7/18 DATA(2, 2, 0) + -- DATA(1, 2, 0) + -- DATA(-1, 2, 0) + 27 36 + + 35 35 + + 20/9 DATA(-1, 0, 0) + -- DATA(-1, 0, 2) + -- DATA(1, 0, 2) + 36 27 + + 49 343 49 + - -- DATA(0, 2, 0) - --- DATA(0, 2, 2) - -- DATA(0, 0, 2) + 27 432 27 + + 49 49 343 + + -- DATA(0, 1, 2) + -- DATA(0, -1, 0) + --- DATA(0, -1, 2) + 27 27 432 + + 35 49 + - -- DATA(1, 1, 2) + --- DATA(2, 2, -1) + 7/18 DATA(2, 2, 1) + 27 288 + + 49 35 + - --- DATA(2, -1, -1) - 7/18 DATA(2, -1, 1) - -- DATA(-1, -1, 0) + 288 36 + + 245 49 245 + - --- DATA(-1, -1, 2) + --- DATA(2, -1, 2) + --- DATA(-1, 2, 2) + 576 288 576 + + 49 245 + - --- DATA(2, 2, 2) - --- DATA(1, -1, 2) + 7/18 DATA(2, 1, 2) + 288 432 + + 35 245 + - -- DATA(-1, 1, 2) + --- DATA(1, 2, 2) - 7/1728 DATA(3, -2, -1) + 36 432 + + + 1/108 DATA(3, -2, 0) + 7/1728 DATA(3, -2, 2) - 1/1728 DATA(3, -2, 3) + + 49 49 + + ---- DATA(3, -1, -1) - 7/108 DATA(3, -1, 0) - ---- DATA(3, -1, 2) + 1728 1728 + + + 7/1728 DATA(3, -1, 3) + 7/108 DATA(3, 1, -1) - 4/27 DATA(3, 1, 0) + + 49 + - 7/108 DATA(3, 1, 2) + 1/108 DATA(3, 1, 3) - ---- DATA(3, 2, -1) + 1728 + + 49 + + 7/108 DATA(3, 2, 0) + ---- DATA(3, 2, 2) - 7/1728 DATA(3, 2, 3) + 1728 + + 49 + + 7/27 DATA(0, 0, 3) - --- DATA(0, 3, -1) + 7/27 DATA(0, 3, 0) + 432 + + 49 + + --- DATA(0, 3, 2) - 7/432 DATA(0, 3, 3) + 5/36 DATA(-1, 3, 1) + 432 + + - 7/27 DATA(0, 3, 1) - 1/18 DATA(2, 3, 1) + 7/108 DATA(3, -1, 1) + + - 4/27 DATA(3, 0, 1) - 7/108 DATA(3, 2, 1) + 1/108 DATA(3, 3, 1) + + 49 49 + + --- DATA(0, -2, -1) - 7/27 DATA(0, -2, 0) - --- DATA(0, -2, 2) + 432 432 + + 49 + + 7/432 DATA(0, -2, 3) - --- DATA(0, -1, 3) - 7/27 DATA(0, 1, 3) + 432 + + 49 + + --- DATA(0, 2, 3) - 7/54 DATA(-2, 1, -1) + 8/27 DATA(-2, 1, 0) + 432 + + + 7/54 DATA(-2, 1, 2) - 1/54 DATA(-2, 1, 3) + 7/864 DATA(-2, -2, -1) + + - 1/54 DATA(-2, -2, 0) - 7/864 DATA(-2, -2, 2) + 1/864 DATA(-2, -2, 3) + + 49 49 + - --- DATA(-2, -1, -1) + 7/54 DATA(-2, -1, 0) + --- DATA(-2, -1, 2) + 864 864 + + 49 + - 7/864 DATA(-2, -1, 3) + --- DATA(-2, 2, -1) - 7/54 DATA(-2, 2, 0) + 864 + + 49 35 + - --- DATA(-2, 2, 2) + 7/864 DATA(-2, 2, 3) - --- DATA(-1, 2, 3) + 864 576 + + 35 35 + + --- DATA(-1, -1, 3) + 5/36 DATA(-1, 1, 3) - --- DATA(-1, -2, -1) + 576 576 + + 35 + + 5/36 DATA(-1, -2, 0) + --- DATA(-1, -2, 2) - 5/576 DATA(-1, -2, 3) + 576 + + 35 35 + + 5/27 DATA(1, 1, 3) + --- DATA(1, -1, 3) - --- DATA(1, -2, -1) + 432 432 + + 35 + + 5/27 DATA(1, -2, 0) + --- DATA(1, -2, 2) - 5/432 DATA(1, -2, 3) + 432 + + + 7/288 DATA(2, -2, -1) - 1/18 DATA(2, -2, 0) - 7/288 DATA(2, -2, 2) + + 35 + + 1/288 DATA(2, -2, 3) - 7/288 DATA(2, -1, 3) - --- DATA(1, 2, 3) + 432 + + - 1/18 DATA(2, 1, 3) + 7/288 DATA(2, 2, 3) - 7/864 DATA(-2, 3, -1) + + + 1/54 DATA(-2, 3, 0) + 7/864 DATA(-2, 3, 2) - 1/864 DATA(-2, 3, 3) + + + 7/54 DATA(-2, 0, -1) - 8/27 DATA(-2, 0, 0) - 7/54 DATA(-2, 0, 2) + + 35 + + 1/54 DATA(-2, 0, 3) + --- DATA(-1, 3, -1) - 5/36 DATA(-1, 3, 0) + 576 + + 35 + - --- DATA(-1, 3, 2) + 5/576 DATA(-1, 3, 3) - 5/36 DATA(-1, 0, 3) + 576 + + 35 + - 5/27 DATA(1, 0, 3) - --- DATA(1, 3, 2) + 5/432 DATA(1, 3, 3) + 432 + + 35 + + --- DATA(1, 3, -1) - 5/27 DATA(1, 3, 0) + 1/18 DATA(2, 0, 3) + 432 + + - 7/288 DATA(2, 3, -1) + 1/18 DATA(2, 3, 0) + 7/288 DATA(2, 3, 2) + + \ 2 3 3 / 40 56 + - 1/288 DATA(2, 3, 3)| x y z + |- -- DATA(1, 1, 1) - -- DATA(0, 1, 0) + / \ 27 27 + + 56 40 + + -- DATA(0, 1, 1) + -- DATA(1, 1, 0) + 1/54 DATA(-2, -2, 1) + 27 27 + + - 4/27 DATA(-2, -1, 1) + 4/27 DATA(-2, 1, 1) - 1/54 DATA(-2, 2, 1) + + - 5/36 DATA(-1, -2, 1) - 5/27 DATA(1, -2, 1) + 1/18 DATA(2, -2, 1) + + + 7/27 DATA(0, -2, 1) - 1/108 DATA(3, -2, 1) - 2/27 DATA(3, 1, 1) + + - 5/72 DATA(-1, -1, -2) + 1/216 DATA(3, 1, -2) + 5/72 DATA(-1, 1, -2) + + - 7/54 DATA(0, 1, -2) - 1/36 DATA(2, 1, -2) + 7/54 DATA(0, -1, -2) + + + 1/36 DATA(2, -1, -2) + 7/432 DATA(0, 2, -2) - 5/576 DATA(-1, 2, -2) + + + 1/288 DATA(2, 2, -2) - 1/216 DATA(3, -1, -2) - 1/1728 DATA(3, 2, -2) + + + 5/54 DATA(1, 1, -2) + 1/108 DATA(-2, -1, -2) + 1/864 DATA(-2, 2, -2) + + - 5/432 DATA(1, 2, -2) - 5/54 DATA(1, -1, -2) - 7/432 DATA(0, -2, -2) + + + 5/576 DATA(-1, -2, -2) - 1/108 DATA(-2, 1, -2) - 1/288 DATA(2, -2, -2) + + - 1/864 DATA(-2, -2, -2) + 1/1728 DATA(3, -2, -2) + 5/432 DATA(1, -2, -2) + + 35 + - 10/9 DATA(-1, 1, 1) + -- DATA(-1, -1, -1) + 10/9 DATA(-1, -1, 1) + 72 + + 35 35 40 + - -- DATA(-1, 1, -1) + -- DATA(1, -1, -1) + -- DATA(1, -1, 1) + 72 54 27 + + 35 35 + - -- DATA(1, 1, -1) + --- DATA(-1, 2, -1) + 5/36 DATA(-1, 2, 1) + 54 576 + + 40 + - -- DATA(1, -1, 0) + 4/9 DATA(2, -1, 0) - 4/9 DATA(2, 1, 0) + 27 + + + 10/9 DATA(-1, 1, 0) + 7/36 DATA(2, 1, -1) + 4/9 DATA(2, 1, 1) + + 49 56 49 + - -- DATA(0, -1, -1) - -- DATA(0, -1, 1) - --- DATA(0, 2, -1) + 54 27 432 + + 49 35 + - 7/27 DATA(0, 2, 1) + -- DATA(0, 1, -1) + --- DATA(1, 2, -1) + 54 432 + + + 5/27 DATA(1, 2, 1) + 1/18 DATA(2, 2, 0) - 5/27 DATA(1, 2, 0) + + 49 + - 5/36 DATA(-1, 2, 0) + 7/27 DATA(0, 2, 0) + --- DATA(0, 2, 2) + 432 + + 49 56 49 + - -- DATA(0, 1, 2) + -- DATA(0, -1, 0) + -- DATA(0, -1, 2) + 54 27 54 + + 35 + + -- DATA(1, 1, 2) - 7/288 DATA(2, 2, -1) - 1/18 DATA(2, 2, 1) + 54 + + - 7/36 DATA(2, -1, -1) - 4/9 DATA(2, -1, 1) - 10/9 DATA(-1, -1, 0) + + 35 35 + - -- DATA(-1, -1, 2) + 7/36 DATA(2, -1, 2) - --- DATA(-1, 2, 2) + 72 576 + + 35 + + 7/288 DATA(2, 2, 2) - -- DATA(1, -1, 2) - 7/36 DATA(2, 1, 2) + 54 + + 35 35 + + -- DATA(-1, 1, 2) - --- DATA(1, 2, 2) - 7/1728 DATA(3, -2, -1) + 72 432 + + + 1/108 DATA(3, -2, 0) + 7/1728 DATA(3, -2, 2) - 1/1728 DATA(3, -2, 3) + + + 7/216 DATA(3, -1, -1) - 2/27 DATA(3, -1, 0) - 7/216 DATA(3, -1, 2) + + + 1/216 DATA(3, -1, 3) - 7/216 DATA(3, 1, -1) + 2/27 DATA(3, 1, 0) + + + 7/216 DATA(3, 1, 2) - 1/216 DATA(3, 1, 3) + 7/1728 DATA(3, 2, -1) + + - 1/108 DATA(3, 2, 0) - 7/1728 DATA(3, 2, 2) + 1/1728 DATA(3, 2, 3) + + 49 + + 2/27 DATA(3, -1, 1) + 1/108 DATA(3, 2, 1) + --- DATA(0, -2, -1) + 432 + + 49 + - 7/27 DATA(0, -2, 0) - --- DATA(0, -2, 2) + 7/432 DATA(0, -2, 3) + 432 + + - 7/54 DATA(0, -1, 3) + 7/54 DATA(0, 1, 3) - 7/432 DATA(0, 2, 3) + + + 7/108 DATA(-2, 1, -1) - 4/27 DATA(-2, 1, 0) - 7/108 DATA(-2, 1, 2) + + + 1/108 DATA(-2, 1, 3) + 7/864 DATA(-2, -2, -1) - 1/54 DATA(-2, -2, 0) + + - 7/864 DATA(-2, -2, 2) + 1/864 DATA(-2, -2, 3) - 7/108 DATA(-2, -1, -1) + + + 4/27 DATA(-2, -1, 0) + 7/108 DATA(-2, -1, 2) - 1/108 DATA(-2, -1, 3) + + - 7/864 DATA(-2, 2, -1) + 1/54 DATA(-2, 2, 0) + 7/864 DATA(-2, 2, 2) + + - 1/864 DATA(-2, 2, 3) + 5/576 DATA(-1, 2, 3) + 5/72 DATA(-1, -1, 3) + + 35 + - 5/72 DATA(-1, 1, 3) - --- DATA(-1, -2, -1) + 5/36 DATA(-1, -2, 0) + 576 + + 35 + + --- DATA(-1, -2, 2) - 5/576 DATA(-1, -2, 3) - 5/54 DATA(1, 1, 3) + 576 + + 35 + + 5/54 DATA(1, -1, 3) - --- DATA(1, -2, -1) + 5/27 DATA(1, -2, 0) + 432 + + 35 + + --- DATA(1, -2, 2) - 5/432 DATA(1, -2, 3) + 7/288 DATA(2, -2, -1) + 432 + + - 1/18 DATA(2, -2, 0) - 7/288 DATA(2, -2, 2) + 1/288 DATA(2, -2, 3) + + - 1/36 DATA(2, -1, 3) + 5/432 DATA(1, 2, 3) + 1/36 DATA(2, 1, 3) + + \ 2 3 /32 32 + - 1/288 DATA(2, 2, 3)| x y z + |-- DATA(1, 1, 1) + -- DATA(0, 1, 0) + / \27 27 + + 32 32 + - -- DATA(0, 1, 1) - -- DATA(1, 1, 0) - 1/108 DATA(-2, -2, 1) + 27 27 + + + 2/27 DATA(-2, -1, 1) - 2/27 DATA(-2, 1, 1) + 1/108 DATA(-2, 2, 1) + + + 7/108 DATA(-1, -2, 1) + 4/27 DATA(1, -2, 1) - 7/108 DATA(2, -2, 1) + + - 4/27 DATA(0, -2, 1) + 1/108 DATA(3, -2, 1) + 2/27 DATA(3, 1, 1) + + + 7/216 DATA(-1, -1, -2) - 1/216 DATA(3, 1, -2) - 7/216 DATA(-1, 1, -2) + + + 2/27 DATA(0, 1, -2) + 7/216 DATA(2, 1, -2) - 2/27 DATA(0, -1, -2) + + - 7/216 DATA(2, -1, -2) - 1/108 DATA(0, 2, -2) + 7/1728 DATA(-1, 2, -2) + + - 7/1728 DATA(2, 2, -2) + 1/216 DATA(3, -1, -2) + 1/1728 DATA(3, 2, -2) + + - 2/27 DATA(1, 1, -2) - 1/216 DATA(-2, -1, -2) - 1/1728 DATA(-2, 2, -2) + + + 1/108 DATA(1, 2, -2) + 2/27 DATA(1, -1, -2) + 1/108 DATA(0, -2, -2) + + - 7/1728 DATA(-1, -2, -2) + 1/216 DATA(-2, 1, -2) + 7/1728 DATA(2, -2, -2) + + + 1/1728 DATA(-2, -2, -2) - 1/1728 DATA(3, -2, -2) - 1/108 DATA(1, -2, -2) + + 14 49 14 + + -- DATA(-1, 1, 1) - --- DATA(-1, -1, -1) - -- DATA(-1, -1, 1) + 27 216 27 + + 49 14 32 + + --- DATA(-1, 1, -1) - -- DATA(1, -1, -1) - -- DATA(1, -1, 1) + 216 27 27 + + 14 49 + + -- DATA(1, 1, -1) - ---- DATA(-1, 2, -1) - 7/108 DATA(-1, 2, 1) + 27 1728 + + 32 14 14 + + -- DATA(1, -1, 0) - -- DATA(2, -1, 0) + -- DATA(2, 1, 0) + 27 27 27 + + 14 49 14 + - -- DATA(-1, 1, 0) - --- DATA(2, 1, -1) - -- DATA(2, 1, 1) + 27 216 27 + + 14 32 + + -- DATA(0, -1, -1) + -- DATA(0, -1, 1) + 7/108 DATA(0, 2, -1) + 27 27 + + 14 + + 4/27 DATA(0, 2, 1) - -- DATA(0, 1, -1) - 7/108 DATA(1, 2, -1) + 27 + + - 4/27 DATA(1, 2, 1) - 7/108 DATA(2, 2, 0) + 4/27 DATA(1, 2, 0) + + + 7/108 DATA(-1, 2, 0) - 4/27 DATA(0, 2, 0) - 7/108 DATA(0, 2, 2) + + 14 32 14 + + -- DATA(0, 1, 2) - -- DATA(0, -1, 0) - -- DATA(0, -1, 2) + 27 27 27 + + 14 49 + - -- DATA(1, 1, 2) + ---- DATA(2, 2, -1) + 7/108 DATA(2, 2, 1) + 27 1728 + + 49 14 14 + + --- DATA(2, -1, -1) + -- DATA(2, -1, 1) + -- DATA(-1, -1, 0) + 216 27 27 + + 49 49 49 + + --- DATA(-1, -1, 2) - --- DATA(2, -1, 2) + ---- DATA(-1, 2, 2) + 216 216 1728 + + 49 14 49 + - ---- DATA(2, 2, 2) + -- DATA(1, -1, 2) + --- DATA(2, 1, 2) + 1728 27 216 + + 49 + - --- DATA(-1, 1, 2) + 7/108 DATA(1, 2, 2) + 7/1728 DATA(3, -2, -1) + 216 + + - 1/108 DATA(3, -2, 0) - 7/1728 DATA(3, -2, 2) + 1/1728 DATA(3, -2, 3) + + - 7/216 DATA(3, -1, -1) + 2/27 DATA(3, -1, 0) + 7/216 DATA(3, -1, 2) + + - 1/216 DATA(3, -1, 3) + 7/216 DATA(3, 1, -1) - 2/27 DATA(3, 1, 0) + + - 7/216 DATA(3, 1, 2) + 1/216 DATA(3, 1, 3) - 7/1728 DATA(3, 2, -1) + + + 1/108 DATA(3, 2, 0) + 7/1728 DATA(3, 2, 2) - 1/1728 DATA(3, 2, 3) + + - 2/27 DATA(3, -1, 1) - 1/108 DATA(3, 2, 1) - 7/108 DATA(0, -2, -1) + + + 4/27 DATA(0, -2, 0) + 7/108 DATA(0, -2, 2) - 1/108 DATA(0, -2, 3) + + + 2/27 DATA(0, -1, 3) - 2/27 DATA(0, 1, 3) + 1/108 DATA(0, 2, 3) + + - 7/216 DATA(-2, 1, -1) + 2/27 DATA(-2, 1, 0) + 7/216 DATA(-2, 1, 2) + + - 1/216 DATA(-2, 1, 3) - 7/1728 DATA(-2, -2, -1) + 1/108 DATA(-2, -2, 0) + + + 7/1728 DATA(-2, -2, 2) - 1/1728 DATA(-2, -2, 3) + 7/216 DATA(-2, -1, -1) + + - 2/27 DATA(-2, -1, 0) - 7/216 DATA(-2, -1, 2) + 1/216 DATA(-2, -1, 3) + + + 7/1728 DATA(-2, 2, -1) - 1/108 DATA(-2, 2, 0) - 7/1728 DATA(-2, 2, 2) + + + 1/1728 DATA(-2, 2, 3) - 7/1728 DATA(-1, 2, 3) - 7/216 DATA(-1, -1, 3) + + 49 + + 7/216 DATA(-1, 1, 3) + ---- DATA(-1, -2, -1) - 7/108 DATA(-1, -2, 0) + 1728 + + 49 + - ---- DATA(-1, -2, 2) + 7/1728 DATA(-1, -2, 3) + 2/27 DATA(1, 1, 3) + 1728 + + - 2/27 DATA(1, -1, 3) + 7/108 DATA(1, -2, -1) - 4/27 DATA(1, -2, 0) + + 49 + - 7/108 DATA(1, -2, 2) + 1/108 DATA(1, -2, 3) - ---- DATA(2, -2, -1) + 1728 + + 49 + + 7/108 DATA(2, -2, 0) + ---- DATA(2, -2, 2) - 7/1728 DATA(2, -2, 3) + 1728 + + + 7/216 DATA(2, -1, 3) - 1/108 DATA(1, 2, 3) - 7/216 DATA(2, 1, 3) + + \ 3 3 / 40 56 + + 7/1728 DATA(2, 2, 3)| x y z + |- -- DATA(1, 1, 1) - -- DATA(0, 1, 0) + / \ 27 27 + + 40 56 + + -- DATA(0, 1, 1) + -- DATA(1, 1, 0) + 5/432 DATA(-2, -2, 1) + 27 27 + + - 5/54 DATA(-2, -1, 1) + 5/54 DATA(-2, 1, 1) - 5/432 DATA(-2, 2, 1) + + 35 35 + - --- DATA(-1, -2, 1) - 5/27 DATA(1, -2, 1) + --- DATA(2, -2, 1) + 432 432 + + + 5/27 DATA(0, -2, 1) - 5/432 DATA(3, -2, 1) - 5/54 DATA(3, 1, 1) + + - 7/108 DATA(-1, -1, -2) + 1/108 DATA(3, 1, -2) + 7/108 DATA(-1, 1, -2) + + - 4/27 DATA(0, 1, -2) - 7/108 DATA(2, 1, -2) + 4/27 DATA(0, -1, -2) + + + 7/108 DATA(2, -1, -2) + 1/54 DATA(0, 2, -2) - 7/864 DATA(-1, 2, -2) + + + 7/864 DATA(2, 2, -2) - 1/108 DATA(3, -1, -2) - 1/864 DATA(3, 2, -2) + + + 4/27 DATA(1, 1, -2) + 1/108 DATA(-2, -1, -2) + 1/864 DATA(-2, 2, -2) + + - 1/54 DATA(1, 2, -2) - 4/27 DATA(1, -1, -2) - 1/54 DATA(0, -2, -2) + + + 7/864 DATA(-1, -2, -2) - 1/108 DATA(-2, 1, -2) - 7/864 DATA(2, -2, -2) + + - 1/864 DATA(-2, -2, -2) + 1/864 DATA(3, -2, -2) + 1/54 DATA(1, -2, -2) + + 35 35 35 + - -- DATA(-1, 1, 1) + -- DATA(-1, -1, -1) + -- DATA(-1, -1, 1) + 54 72 54 + + 35 40 + - -- DATA(-1, 1, -1) + 10/9 DATA(1, -1, -1) + -- DATA(1, -1, 1) + 72 27 + + 35 35 + - 10/9 DATA(1, 1, -1) + --- DATA(-1, 2, -1) + --- DATA(-1, 2, 1) + 576 432 + + 56 49 49 + - -- DATA(1, -1, 0) + -- DATA(2, -1, 0) - -- DATA(2, 1, 0) + 27 54 54 + + 49 35 35 + + -- DATA(-1, 1, 0) + -- DATA(2, 1, -1) + -- DATA(2, 1, 1) + 54 72 54 + + 40 + - 10/9 DATA(0, -1, -1) - -- DATA(0, -1, 1) - 5/36 DATA(0, 2, -1) + 27 + + - 5/27 DATA(0, 2, 1) + 10/9 DATA(0, 1, -1) + 5/36 DATA(1, 2, -1) + + 49 + + 5/27 DATA(1, 2, 1) + --- DATA(2, 2, 0) - 7/27 DATA(1, 2, 0) + 432 + + 49 + - --- DATA(-1, 2, 0) + 7/27 DATA(0, 2, 0) + 1/18 DATA(0, 2, 2) + 432 + + 56 + - 4/9 DATA(0, 1, 2) + -- DATA(0, -1, 0) + 4/9 DATA(0, -1, 2) + 27 + + 35 35 + + 4/9 DATA(1, 1, 2) - --- DATA(2, 2, -1) - --- DATA(2, 2, 1) + 576 432 + + 35 35 49 + - -- DATA(2, -1, -1) - -- DATA(2, -1, 1) - -- DATA(-1, -1, 0) + 72 54 54 + + - 7/36 DATA(-1, -1, 2) + 7/36 DATA(2, -1, 2) - 7/288 DATA(-1, 2, 2) + + + 7/288 DATA(2, 2, 2) - 4/9 DATA(1, -1, 2) - 7/36 DATA(2, 1, 2) + + + 7/36 DATA(-1, 1, 2) - 1/18 DATA(1, 2, 2) - 5/576 DATA(3, -2, -1) + + + 7/432 DATA(3, -2, 0) + 1/288 DATA(3, -2, 2) - 1/1728 DATA(3, -2, 3) + + + 5/72 DATA(3, -1, -1) - 7/54 DATA(3, -1, 0) - 1/36 DATA(3, -1, 2) + + + 1/216 DATA(3, -1, 3) - 5/72 DATA(3, 1, -1) + 7/54 DATA(3, 1, 0) + + + 1/36 DATA(3, 1, 2) - 1/216 DATA(3, 1, 3) + 5/576 DATA(3, 2, -1) + + - 7/432 DATA(3, 2, 0) - 1/288 DATA(3, 2, 2) + 1/1728 DATA(3, 2, 3) + + + 5/54 DATA(3, -1, 1) + 5/432 DATA(3, 2, 1) + 5/36 DATA(0, -2, -1) + + - 7/27 DATA(0, -2, 0) - 1/18 DATA(0, -2, 2) + 1/108 DATA(0, -2, 3) + + - 2/27 DATA(0, -1, 3) + 2/27 DATA(0, 1, 3) - 1/108 DATA(0, 2, 3) + + + 5/72 DATA(-2, 1, -1) - 7/54 DATA(-2, 1, 0) - 1/36 DATA(-2, 1, 2) + + + 1/216 DATA(-2, 1, 3) + 5/576 DATA(-2, -2, -1) - 7/432 DATA(-2, -2, 0) + + - 1/288 DATA(-2, -2, 2) + 1/1728 DATA(-2, -2, 3) - 5/72 DATA(-2, -1, -1) + + + 7/54 DATA(-2, -1, 0) + 1/36 DATA(-2, -1, 2) - 1/216 DATA(-2, -1, 3) + + - 5/576 DATA(-2, 2, -1) + 7/432 DATA(-2, 2, 0) + 1/288 DATA(-2, 2, 2) + + - 1/1728 DATA(-2, 2, 3) + 7/1728 DATA(-1, 2, 3) + 7/216 DATA(-1, -1, 3) + + 35 49 + - 7/216 DATA(-1, 1, 3) - --- DATA(-1, -2, -1) + --- DATA(-1, -2, 0) + 576 432 + + + 7/288 DATA(-1, -2, 2) - 7/1728 DATA(-1, -2, 3) - 2/27 DATA(1, 1, 3) + + + 2/27 DATA(1, -1, 3) - 5/36 DATA(1, -2, -1) + 7/27 DATA(1, -2, 0) + + 35 + + 1/18 DATA(1, -2, 2) - 1/108 DATA(1, -2, 3) + --- DATA(2, -2, -1) + 576 + + 49 + - --- DATA(2, -2, 0) - 7/288 DATA(2, -2, 2) + 7/1728 DATA(2, -2, 3) + 432 + + - 7/216 DATA(2, -1, 3) + 1/108 DATA(1, 2, 3) + 7/216 DATA(2, 1, 3) + + \ 3 2 / 16 16 + - 7/1728 DATA(2, 2, 3)| x y z + |- -- DATA(1, 1, 1) + -- DATA(1, 0, 1) + / \ 27 27 + + + 1/108 DATA(2, 0, 2) + 1/216 DATA(-2, -2, 1) - 7/216 DATA(-2, -1, 1) + + - 2/27 DATA(-2, 1, 1) + 7/216 DATA(-2, 2, 1) 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DATA(-1, 2, -1) + 27 27 + + - 7/27 DATA(-1, 2, 1) - 2/27 DATA(2, 1, -1) + 2/27 DATA(2, 1, 1) + + 16 + + 2/27 DATA(2, 0, -1) - 2/27 DATA(2, 0, 1) - -- DATA(1, 0, -1) + 27 + + - 7/27 DATA(1, 2, -1) + 7/27 DATA(1, 2, 1) + 2/27 DATA(-1, 0, 2) + + - 2/27 DATA(1, 0, 2) + 2/27 DATA(1, 1, 2) + 7/216 DATA(2, 2, -1) + + - 7/216 DATA(2, 2, 1) - 7/216 DATA(2, -1, -1) + 7/216 DATA(2, -1, 1) + + - 7/216 DATA(-1, -1, 2) - 7/1728 DATA(2, -1, 2) + 7/216 DATA(-1, 2, 2) + + + 7/1728 DATA(2, 2, 2) + 7/216 DATA(1, -1, 2) - 1/108 DATA(2, 1, 2) + + - 2/27 DATA(-1, 1, 2) - 7/216 DATA(1, 2, 2) + 1/27 DATA(-1, 3, 1) + + + 1/216 DATA(2, 3, 1) + 2/27 DATA(-2, 1, -1) + 1/108 DATA(-2, 1, 2) + + - 1/216 DATA(-2, -2, -1) - 1/1728 DATA(-2, -2, 2) + 7/216 DATA(-2, -1, -1) + + + 7/1728 DATA(-2, -1, 2) - 7/216 DATA(-2, 2, -1) - 7/1728 DATA(-2, 2, 2) + + + 1/27 DATA(-1, -2, -1) + 1/216 DATA(-1, -2, 2) - 1/27 DATA(1, -2, -1) + + - 1/216 DATA(1, -2, 2) + 1/216 DATA(2, -2, -1) + 1/1728 DATA(2, -2, 2) + + + 1/216 DATA(-2, 3, -1) + 1/1728 DATA(-2, 3, 2) - 2/27 DATA(-2, 0, -1) + + - 1/108 DATA(-2, 0, 2) - 1/27 DATA(-1, 3, -1) - 1/216 DATA(-1, 3, 2) + + + 1/216 DATA(1, 3, 2) + 1/27 DATA(1, 3, -1) - 1/216 DATA(2, 3, -1) + + \ 3 /50 98 + - 1/1728 DATA(2, 3, 2)| x y z + |-- DATA(1, 1, 1) + -- DATA(0, 1, 0) + / \27 27 + + 70 70 + - -- DATA(0, 1, 1) - -- DATA(1, 1, 0) - 5/216 DATA(-2, -2, 1) + 27 27 + + + 5/27 DATA(-2, -1, 1) - 5/27 DATA(-2, 1, 1) + 5/216 DATA(-2, 2, 1) + + 25 25 + + --- DATA(-1, -2, 1) + --- DATA(1, -2, 1) - 5/72 DATA(2, -2, 1) + 144 108 + + 35 + - --- DATA(0, -2, 1) + 5/432 DATA(3, -2, 1) + 5/54 DATA(3, 1, 1) + 108 + + + 5/36 DATA(-1, -1, -2) - 1/108 DATA(3, 1, -2) - 5/36 DATA(-1, 1, -2) + + + 7/27 DATA(0, 1, -2) + 1/18 DATA(2, 1, -2) - 7/27 DATA(0, -1, -2) + + - 1/18 DATA(2, -1, -2) - 7/216 DATA(0, 2, -2) + 5/288 DATA(-1, 2, -2) + + - 1/144 DATA(2, 2, -2) + 1/108 DATA(3, -1, -2) + 1/864 DATA(3, 2, -2) + + - 5/27 DATA(1, 1, -2) - 1/54 DATA(-2, -1, -2) - 1/432 DATA(-2, 2, -2) + + + 5/216 DATA(1, 2, -2) + 5/27 DATA(1, -1, -2) + 7/216 DATA(0, -2, -2) + + - 5/288 DATA(-1, -2, -2) + 1/54 DATA(-2, 1, -2) + 1/144 DATA(2, -2, -2) + + + 1/432 DATA(-2, -2, -2) - 1/864 DATA(3, -2, -2) - 5/216 DATA(1, -2, -2) + + 25 25 25 + + -- DATA(-1, 1, 1) - -- DATA(-1, -1, -1) - -- DATA(-1, -1, 1) + 18 24 18 + + 25 25 50 + + -- DATA(-1, 1, -1) - -- DATA(1, -1, -1) - -- DATA(1, -1, 1) + 24 18 27 + + 25 25 25 + + -- DATA(1, 1, -1) - --- DATA(-1, 2, -1) - --- DATA(-1, 2, 1) + 18 192 144 + + 70 + + -- DATA(1, -1, 0) - 7/9 DATA(2, -1, 0) + 7/9 DATA(2, 1, 0) + 27 + + 35 + - -- DATA(-1, 1, 0) - 5/12 DATA(2, 1, -1) - 5/9 DATA(2, 1, 1) + 18 + + 35 70 35 + + -- DATA(0, -1, -1) + -- DATA(0, -1, 1) + --- DATA(0, 2, -1) + 18 27 144 + + 35 35 25 + + --- DATA(0, 2, 1) - -- DATA(0, 1, -1) - --- DATA(1, 2, -1) + 108 18 144 + + 25 35 + - --- DATA(1, 2, 1) - 7/72 DATA(2, 2, 0) + --- DATA(1, 2, 0) + 108 108 + + 35 49 + + --- DATA(-1, 2, 0) - --- DATA(0, 2, 0) - 7/72 DATA(0, 2, 2) + 144 108 + + 98 + + 7/9 DATA(0, 1, 2) - -- DATA(0, -1, 0) - 7/9 DATA(0, -1, 2) + 27 + + - 5/9 DATA(1, 1, 2) + 5/96 DATA(2, 2, -1) + 5/72 DATA(2, 2, 1) + + 35 + + 5/12 DATA(2, -1, -1) + 5/9 DATA(2, -1, 1) + -- DATA(-1, -1, 0) + 18 + + + 5/12 DATA(-1, -1, 2) - 1/6 DATA(2, -1, 2) + 5/96 DATA(-1, 2, 2) + + - 1/48 DATA(2, 2, 2) + 5/9 DATA(1, -1, 2) + 1/6 DATA(2, 1, 2) + + - 5/12 DATA(-1, 1, 2) + 5/72 DATA(1, 2, 2) + 5/576 DATA(3, -2, -1) + + - 7/432 DATA(3, -2, 0) - 1/288 DATA(3, -2, 2) + 1/1728 DATA(3, -2, 3) + + - 5/72 DATA(3, -1, -1) + 7/54 DATA(3, -1, 0) + 1/36 DATA(3, -1, 2) + + - 1/216 DATA(3, -1, 3) + 5/72 DATA(3, 1, -1) - 7/54 DATA(3, 1, 0) + + - 1/36 DATA(3, 1, 2) + 1/216 DATA(3, 1, 3) - 5/576 DATA(3, 2, -1) + + + 7/432 DATA(3, 2, 0) + 1/288 DATA(3, 2, 2) - 1/1728 DATA(3, 2, 3) + + 35 + - 5/54 DATA(3, -1, 1) - 5/432 DATA(3, 2, 1) - --- DATA(0, -2, -1) + 144 + + 49 + + --- DATA(0, -2, 0) + 7/72 DATA(0, -2, 2) - 7/432 DATA(0, -2, 3) + 108 + + + 7/54 DATA(0, -1, 3) - 7/54 DATA(0, 1, 3) + 7/432 DATA(0, 2, 3) + + - 5/36 DATA(-2, 1, -1) + 7/27 DATA(-2, 1, 0) + 1/18 DATA(-2, 1, 2) + + - 1/108 DATA(-2, 1, 3) - 5/288 DATA(-2, -2, -1) + 7/216 DATA(-2, -2, 0) + + + 1/144 DATA(-2, -2, 2) - 1/864 DATA(-2, -2, 3) + 5/36 DATA(-2, -1, -1) + + - 7/27 DATA(-2, -1, 0) - 1/18 DATA(-2, -1, 2) + 1/108 DATA(-2, -1, 3) + + + 5/288 DATA(-2, 2, -1) - 7/216 DATA(-2, 2, 0) - 1/144 DATA(-2, 2, 2) + + + 1/864 DATA(-2, 2, 3) - 5/576 DATA(-1, 2, 3) - 5/72 DATA(-1, -1, 3) + + 25 35 + + 5/72 DATA(-1, 1, 3) + --- DATA(-1, -2, -1) - --- DATA(-1, -2, 0) + 192 144 + + - 5/96 DATA(-1, -2, 2) + 5/576 DATA(-1, -2, 3) + 5/54 DATA(1, 1, 3) + + 25 35 + - 5/54 DATA(1, -1, 3) + --- DATA(1, -2, -1) - --- DATA(1, -2, 0) + 144 108 + + - 5/72 DATA(1, -2, 2) + 5/432 DATA(1, -2, 3) - 5/96 DATA(2, -2, -1) + + + 7/72 DATA(2, -2, 0) + 1/48 DATA(2, -2, 2) - 1/288 DATA(2, -2, 3) + + + 1/36 DATA(2, -1, 3) - 5/432 DATA(1, 2, 3) - 1/36 DATA(2, 1, 3) + + \ 2 2 /20 28 + + 1/288 DATA(2, 2, 3)| x y z + |-- DATA(1, 1, 1) - -- DATA(1, 1, 0) + / \27 27 + + + 5/432 DATA(-2, -2, 1) - 5/54 DATA(-2, -1, 1) + 5/54 DATA(-2, 1, 1) + + - 5/432 DATA(-2, 2, 1) - 5/54 DATA(-1, -2, 1) + 5/54 DATA(1, -2, 1) + + - 5/432 DATA(2, -2, 1) - 2/27 DATA(-1, -1, -2) + 2/27 DATA(-1, 1, -2) + + + 1/108 DATA(2, 1, -2) - 1/108 DATA(2, -1, -2) - 1/108 DATA(-1, 2, -2) + + - 1/864 DATA(2, 2, -2) - 2/27 DATA(1, 1, -2) + 1/108 DATA(-2, -1, -2) + + + 1/864 DATA(-2, 2, -2) + 1/108 DATA(1, 2, -2) + 2/27 DATA(1, -1, -2) + + + 1/108 DATA(-1, -2, -2) - 1/108 DATA(-2, 1, -2) + 1/864 DATA(2, -2, -2) + + 20 + - 1/864 DATA(-2, -2, -2) - 1/108 DATA(1, -2, -2) - -- DATA(-1, 1, 1) + 27 + + 20 + + 5/9 DATA(-1, -1, -1) + -- DATA(-1, -1, 1) - 5/9 DATA(-1, 1, -1) + 27 + + 20 + - 5/9 DATA(1, -1, -1) - -- DATA(1, -1, 1) + 5/9 DATA(1, 1, -1) + 27 + + 28 + + 5/72 DATA(-1, 2, -1) + 5/54 DATA(-1, 2, 1) + -- DATA(1, -1, 0) + 27 + + 28 + - 7/54 DATA(2, -1, 0) + 7/54 DATA(2, 1, 0) + -- DATA(-1, 1, 0) + 27 + + - 5/72 DATA(2, 1, -1) - 5/54 DATA(2, 1, 1) - 5/72 DATA(1, 2, -1) + + - 5/54 DATA(1, 2, 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DATA(-2, -1, 1) - 2/27 DATA(-2, 1, 1) + 1/108 DATA(-2, 2, 1) + + + 5/72 DATA(-1, -2, 1) + 5/54 DATA(1, -2, 1) - 1/36 DATA(2, -2, 1) + + - 7/54 DATA(0, -2, 1) + 1/216 DATA(3, -2, 1) + 1/27 DATA(3, 1, 1) + + - 5/72 DATA(-1, -1, -2) + 1/216 DATA(3, 1, -2) + 5/72 DATA(-1, 1, -2) + + - 7/54 DATA(0, 1, -2) - 1/36 DATA(2, 1, -2) + 7/54 DATA(0, -1, -2) + + + 1/36 DATA(2, -1, -2) + 7/432 DATA(0, 2, -2) - 5/576 DATA(-1, 2, -2) + + + 1/288 DATA(2, 2, -2) - 1/216 DATA(3, -1, -2) - 1/1728 DATA(3, 2, -2) + + + 5/54 DATA(1, 1, -2) + 1/108 DATA(-2, -1, -2) + 1/864 DATA(-2, 2, -2) + + - 5/432 DATA(1, 2, -2) - 5/54 DATA(1, -1, -2) - 7/432 DATA(0, -2, -2) + + + 5/576 DATA(-1, -2, -2) - 1/108 DATA(-2, 1, -2) - 1/288 DATA(2, -2, -2) + + - 1/864 DATA(-2, -2, -2) + 1/1728 DATA(3, -2, -2) + 5/432 DATA(1, -2, -2) + + + 5/9 DATA(-1, 1, 1) + 5/9 DATA(-1, -1, -1) - 5/9 DATA(-1, -1, 1) + + 20 20 + - 5/9 DATA(-1, 1, -1) + -- DATA(1, -1, -1) - -- DATA(1, -1, 1) + 27 27 + + 20 + - -- DATA(1, 1, -1) + 5/72 DATA(-1, 2, -1) - 5/72 DATA(-1, 2, 1) + 27 + + 28 + + 2/9 DATA(2, 1, -1) - 2/9 DATA(2, 1, 1) - -- DATA(0, -1, -1) + 27 + + 28 + + -- DATA(0, -1, 1) - 7/54 DATA(0, 2, -1) + 7/54 DATA(0, 2, 1) + 27 + + 28 + + -- DATA(0, 1, -1) + 5/54 DATA(1, 2, -1) - 5/54 DATA(1, 2, 1) + 27 + + - 7/432 DATA(0, 2, 2) + 7/54 DATA(0, 1, 2) - 7/54 DATA(0, -1, 2) + + - 5/54 DATA(1, 1, 2) - 1/36 DATA(2, 2, -1) + 1/36 DATA(2, 2, 1) + + - 2/9 DATA(2, -1, -1) + 2/9 DATA(2, -1, 1) + 5/72 DATA(-1, -1, 2) + + - 1/36 DATA(2, -1, 2) + 5/576 DATA(-1, 2, 2) - 1/288 DATA(2, 2, 2) + + + 5/54 DATA(1, -1, 2) + 1/36 DATA(2, 1, 2) - 5/72 DATA(-1, 1, 2) + + + 5/432 DATA(1, 2, 2) - 1/216 DATA(3, -2, -1) - 1/1728 DATA(3, -2, 2) + + + 1/27 DATA(3, -1, -1) + 1/216 DATA(3, -1, 2) - 1/27 DATA(3, 1, -1) + + - 1/216 DATA(3, 1, 2) + 1/216 DATA(3, 2, -1) + 1/1728 DATA(3, 2, 2) + + - 1/27 DATA(3, -1, 1) - 1/216 DATA(3, 2, 1) + 7/54 DATA(0, -2, -1) + + + 7/432 DATA(0, -2, 2) + 2/27 DATA(-2, 1, -1) + 1/108 DATA(-2, 1, 2) + + + 1/108 DATA(-2, -2, -1) + 1/864 DATA(-2, -2, 2) - 2/27 DATA(-2, -1, -1) + + - 1/108 DATA(-2, -1, 2) - 1/108 DATA(-2, 2, -1) - 1/864 DATA(-2, 2, 2) + + - 5/72 DATA(-1, -2, -1) - 5/576 DATA(-1, -2, 2) - 5/54 DATA(1, -2, -1) + + \ 2 + - 5/432 DATA(1, -2, 2) + 1/36 DATA(2, -2, -1) + 1/288 DATA(2, -2, 2)| x y + / + + / 16 16 + z + |- -- DATA(1, 1, 1) + -- DATA(0, 1, 1) + 1/216 DATA(-2, -2, 1) + \ 27 27 + + - 1/27 DATA(-2, -1, 1) + 1/27 DATA(-2, 1, 1) - 1/216 DATA(-2, 2, 1) + + - 7/216 DATA(-1, -2, 1) - 2/27 DATA(1, -2, 1) + 7/216 DATA(2, -2, 1) + + + 2/27 DATA(0, -2, 1) - 1/216 DATA(3, -2, 1) - 1/27 DATA(3, 1, 1) + + + 7/216 DATA(-1, -1, -2) - 1/216 DATA(3, 1, -2) - 7/216 DATA(-1, 1, -2) + + + 2/27 DATA(0, 1, -2) + 7/216 DATA(2, 1, -2) - 2/27 DATA(0, -1, -2) + + - 7/216 DATA(2, -1, -2) - 1/108 DATA(0, 2, -2) + 7/1728 DATA(-1, 2, -2) + + - 7/1728 DATA(2, 2, -2) + 1/216 DATA(3, -1, -2) + 1/1728 DATA(3, 2, -2) + + - 2/27 DATA(1, 1, -2) - 1/216 DATA(-2, -1, -2) - 1/1728 DATA(-2, 2, -2) + + + 1/108 DATA(1, 2, -2) + 2/27 DATA(1, -1, -2) + 1/108 DATA(0, -2, -2) + + - 7/1728 DATA(-1, -2, -2) + 1/216 DATA(-2, 1, -2) + 7/1728 DATA(2, -2, -2) + + + 1/1728 DATA(-2, -2, -2) - 1/1728 DATA(3, -2, -2) - 1/108 DATA(1, -2, -2) + + - 7/27 DATA(-1, 1, 1) - 7/27 DATA(-1, -1, -1) + 7/27 DATA(-1, -1, 1) + + 16 16 + + 7/27 DATA(-1, 1, -1) - -- DATA(1, -1, -1) + -- DATA(1, -1, 1) + 27 27 + + 16 + + -- DATA(1, 1, -1) - 7/216 DATA(-1, 2, -1) + 7/216 DATA(-1, 2, 1) + 27 + + 16 + - 7/27 DATA(2, 1, -1) + 7/27 DATA(2, 1, 1) + -- DATA(0, -1, -1) + 27 + + 16 + - -- DATA(0, -1, 1) + 2/27 DATA(0, 2, -1) - 2/27 DATA(0, 2, 1) + 27 + + 16 + - -- DATA(0, 1, -1) - 2/27 DATA(1, 2, -1) + 2/27 DATA(1, 2, 1) + 27 + + + 1/108 DATA(0, 2, 2) - 2/27 DATA(0, 1, 2) + 2/27 DATA(0, -1, 2) + + + 2/27 DATA(1, 1, 2) + 7/216 DATA(2, 2, -1) - 7/216 DATA(2, 2, 1) + + + 7/27 DATA(2, -1, -1) - 7/27 DATA(2, -1, 1) - 7/216 DATA(-1, -1, 2) + + + 7/216 DATA(2, -1, 2) - 7/1728 DATA(-1, 2, 2) + 7/1728 DATA(2, 2, 2) + + - 2/27 DATA(1, -1, 2) - 7/216 DATA(2, 1, 2) + 7/216 DATA(-1, 1, 2) + + - 1/108 DATA(1, 2, 2) + 1/216 DATA(3, -2, -1) + 1/1728 DATA(3, -2, 2) + + - 1/27 DATA(3, -1, -1) - 1/216 DATA(3, -1, 2) + 1/27 DATA(3, 1, -1) + + + 1/216 DATA(3, 1, 2) - 1/216 DATA(3, 2, -1) - 1/1728 DATA(3, 2, 2) + + + 1/27 DATA(3, -1, 1) + 1/216 DATA(3, 2, 1) - 2/27 DATA(0, -2, -1) + + - 1/108 DATA(0, -2, 2) - 1/27 DATA(-2, 1, -1) - 1/216 DATA(-2, 1, 2) + + - 1/216 DATA(-2, -2, -1) - 1/1728 DATA(-2, -2, 2) + 1/27 DATA(-2, -1, -1) + + + 1/216 DATA(-2, -1, 2) + 1/216 DATA(-2, 2, -1) + 1/1728 DATA(-2, 2, 2) + + + 7/216 DATA(-1, -2, -1) + 7/1728 DATA(-1, -2, 2) + 2/27 DATA(1, -2, -1) + + \ 3 + + 1/108 DATA(1, -2, 2) - 7/216 DATA(2, -2, -1) - 7/1728 DATA(2, -2, 2)| x + / + + / 49 50 98 + y z + |- --- DATA(2, 0, 0) + -- DATA(1, 1, 1) + -- DATA(1, 0, 0) + \ 108 27 27 + + 70 70 + - -- DATA(1, 0, 1) - -- DATA(1, 1, 0) - 7/72 DATA(2, 0, 2) + 27 27 + + 25 25 + - 5/216 DATA(-2, -2, 1) + --- DATA(-2, -1, 1) + --- DATA(-2, 1, 1) + 144 108 + + - 5/72 DATA(-2, 2, 1) + 5/27 DATA(-1, -2, 1) - 5/27 DATA(1, -2, 1) + + 35 + + 5/54 DATA(1, 3, 1) - --- DATA(-2, 0, 1) + 5/432 DATA(-2, 3, 1) + 108 + + + 5/216 DATA(2, -2, 1) + 5/36 DATA(-1, -1, -2) - 7/27 DATA(-1, 0, -2) + + + 5/27 DATA(-1, 1, -2) + 5/216 DATA(2, 1, -2) + 5/288 DATA(2, -1, -2) + + - 7/216 DATA(2, 0, -2) + 1/108 DATA(-1, 3, -2) - 1/18 DATA(-1, 2, -2) + + - 1/144 DATA(2, 2, -2) + 1/864 DATA(2, 3, -2) - 5/27 DATA(1, 1, -2) + + - 5/288 DATA(-2, -1, -2) + 7/216 DATA(-2, 0, -2) + 1/144 DATA(-2, 2, -2) + + - 1/864 DATA(-2, 3, -2) + 7/27 DATA(1, 0, -2) + 1/18 DATA(1, 2, -2) + + - 1/108 DATA(1, 3, -2) - 5/36 DATA(1, -1, -2) - 1/54 DATA(-1, -2, -2) + + - 5/216 DATA(-2, 1, -2) - 1/432 DATA(2, -2, -2) + 1/432 DATA(-2, -2, -2) + + 50 25 + + 1/54 DATA(1, -2, -2) - -- DATA(-1, 1, 1) - -- DATA(-1, -1, -1) + 27 24 + + 25 25 25 + - -- DATA(-1, -1, 1) - -- DATA(-1, 1, -1) + -- DATA(1, -1, -1) + 18 18 24 + + 25 25 35 + + -- DATA(1, -1, 1) + -- DATA(1, 1, -1) + -- DATA(-1, 0, -1) + 18 18 18 + + 70 + + -- DATA(-1, 0, 1) + 5/12 DATA(-1, 2, -1) + 5/9 DATA(-1, 2, 1) + 27 + + 35 35 35 + - -- DATA(1, -1, 0) + --- DATA(2, -1, 0) + --- DATA(2, 1, 0) + 18 144 108 + + 70 25 25 + + -- DATA(-1, 1, 0) - --- DATA(2, 1, -1) - --- DATA(2, 1, 1) + 27 144 108 + + 35 35 35 + + --- DATA(2, 0, -1) + --- DATA(2, 0, 1) - -- DATA(1, 0, -1) + 144 108 18 + + - 5/12 DATA(1, 2, -1) - 5/9 DATA(1, 2, 1) - 7/72 DATA(2, 2, 0) + + 98 + + 7/9 DATA(1, 2, 0) - 7/9 DATA(-1, 2, 0) - -- DATA(-1, 0, 0) + 27 + + - 7/9 DATA(-1, 0, 2) + 7/9 DATA(1, 0, 2) - 5/9 DATA(1, 1, 2) + + 25 + + 5/96 DATA(2, 2, -1) + 5/72 DATA(2, 2, 1) - --- DATA(2, -1, -1) + 192 + + 25 35 + - --- DATA(2, -1, 1) + -- DATA(-1, -1, 0) + 5/12 DATA(-1, -1, 2) + 144 18 + + + 5/96 DATA(2, -1, 2) - 1/6 DATA(-1, 2, 2) - 1/48 DATA(2, 2, 2) + + - 5/12 DATA(1, -1, 2) + 5/72 DATA(2, 1, 2) + 5/9 DATA(-1, 1, 2) + + + 1/6 DATA(1, 2, 2) - 5/54 DATA(-1, 3, 1) - 5/432 DATA(2, 3, 1) + + 25 35 + + --- DATA(-2, 1, -1) - --- DATA(-2, 1, 0) - 5/72 DATA(-2, 1, 2) + 144 108 + + + 5/432 DATA(-2, 1, 3) - 5/288 DATA(-2, -2, -1) + 7/216 DATA(-2, -2, 0) + + 25 + + 1/144 DATA(-2, -2, 2) - 1/864 DATA(-2, -2, 3) + --- DATA(-2, -1, -1) + 192 + + 35 + - --- DATA(-2, -1, 0) - 5/96 DATA(-2, -1, 2) + 5/576 DATA(-2, -1, 3) + 144 + + - 5/96 DATA(-2, 2, -1) + 7/72 DATA(-2, 2, 0) + 1/48 DATA(-2, 2, 2) + + - 1/288 DATA(-2, 2, 3) + 1/36 DATA(-1, 2, 3) - 5/72 DATA(-1, -1, 3) + + - 5/54 DATA(-1, 1, 3) + 5/36 DATA(-1, -2, -1) - 7/27 DATA(-1, -2, 0) + + - 1/18 DATA(-1, -2, 2) + 1/108 DATA(-1, -2, 3) + 5/54 DATA(1, 1, 3) + + + 5/72 DATA(1, -1, 3) - 5/36 DATA(1, -2, -1) + 7/27 DATA(1, -2, 0) + + + 1/18 DATA(1, -2, 2) - 1/108 DATA(1, -2, 3) + 5/288 DATA(2, -2, -1) + + - 7/216 DATA(2, -2, 0) - 1/144 DATA(2, -2, 2) + 1/864 DATA(2, -2, 3) + + - 5/576 DATA(2, -1, 3) - 1/36 DATA(1, 2, 3) - 5/432 DATA(2, 1, 3) + + + 1/288 DATA(2, 2, 3) + 5/576 DATA(-2, 3, -1) - 7/432 DATA(-2, 3, 0) + + 35 + - 1/288 DATA(-2, 3, 2) + 1/1728 DATA(-2, 3, 3) - --- DATA(-2, 0, -1) + 144 + + 49 + + --- DATA(-2, 0, 0) + 7/72 DATA(-2, 0, 2) - 7/432 DATA(-2, 0, 3) + 108 + + - 5/72 DATA(-1, 3, -1) + 7/54 DATA(-1, 3, 0) + 1/36 DATA(-1, 3, 2) + + - 1/216 DATA(-1, 3, 3) + 7/54 DATA(-1, 0, 3) - 7/54 DATA(1, 0, 3) + + - 1/36 DATA(1, 3, 2) + 1/216 DATA(1, 3, 3) + 5/72 DATA(1, 3, -1) + + - 7/54 DATA(1, 3, 0) + 7/432 DATA(2, 0, 3) - 5/576 DATA(2, 3, -1) + + \ 2 + + 7/432 DATA(2, 3, 0) + 1/288 DATA(2, 3, 2) - 1/1728 DATA(2, 3, 3)| x y + / + + 2 / 49 343 125 + z + |- -- DATA(2, 0, 0) - --- DATA(0, 0, 0) + --- DATA(1, 1, 1) + \ 18 27 27 + + 245 245 175 + + --- DATA(0, 0, 1) + --- DATA(0, 1, 0) - --- DATA(0, 1, 1) + 27 27 27 + + 245 175 175 + + --- DATA(1, 0, 0) - --- DATA(1, 0, 1) - --- DATA(1, 1, 0) + 27 27 27 + + 25 + - 7/12 DATA(2, 0, 2) + 5/108 DATA(-2, -2, 1) - -- DATA(-2, -1, 1) + 72 + + 25 25 + - -- DATA(-2, 1, 1) + 5/36 DATA(-2, 2, 1) - -- DATA(-1, -2, 1) + 54 72 + + 25 + - -- DATA(1, -2, 1) + 5/576 DATA(3, 3, -1) - 7/432 DATA(3, 3, 0) + 54 + + 35 + - 1/288 DATA(3, 3, 2) + 1/1728 DATA(3, 3, 3) - --- DATA(3, 0, -1) + 144 + + 49 + + --- DATA(3, 0, 0) + 7/72 DATA(3, 0, 2) - 7/432 DATA(3, 0, 3) + 108 + + 25 35 + + --- DATA(1, 3, 1) + -- DATA(-2, 0, 1) - 5/216 DATA(-2, 3, 1) + 108 54 + + 35 + + 5/36 DATA(2, -2, 1) + -- DATA(0, -2, 1) - 5/216 DATA(3, -2, 1) + 54 + + 25 25 35 + + --- DATA(3, 1, 1) - -- DATA(-1, -1, -2) + -- DATA(-1, 0, -2) + 108 96 72 + + 25 35 + - 5/216 DATA(3, 1, -2) - -- DATA(-1, 1, -2) + -- DATA(0, 1, -2) + 72 54 + + 35 49 + + 5/36 DATA(2, 1, -2) + -- DATA(0, -1, -2) - -- DATA(0, 0, -2) + 72 54 + + + 5/48 DATA(2, -1, -2) - 7/36 DATA(2, 0, -2) - 7/36 DATA(0, 2, -2) + + + 7/216 DATA(0, 3, -2) - 5/288 DATA(-1, 3, -2) + 5/48 DATA(-1, 2, -2) + + - 1/24 DATA(2, 2, -2) + 1/144 DATA(2, 3, -2) - 5/288 DATA(3, -1, -2) + + 25 + + 7/216 DATA(3, 0, -2) + 1/144 DATA(3, 2, -2) - -- DATA(1, 1, -2) + 54 + + + 5/144 DATA(-2, -1, -2) - 7/108 DATA(-2, 0, -2) - 1/72 DATA(-2, 2, -2) + + 35 + + 1/432 DATA(-2, 3, -2) + -- DATA(1, 0, -2) + 5/36 DATA(1, 2, -2) + 54 + + 25 + - 5/216 DATA(1, 3, -2) - 1/864 DATA(3, 3, -2) - -- DATA(1, -1, -2) + 72 + + - 7/108 DATA(0, -2, -2) + 5/144 DATA(-1, -2, -2) + 5/108 DATA(-2, 1, -2) + + - 1/72 DATA(2, -2, -2) - 1/216 DATA(-2, -2, -2) + 1/432 DATA(3, -2, -2) + + 125 125 + + 5/108 DATA(1, -2, -2) + --- DATA(-1, 1, 1) + --- DATA(-1, -1, -1) + 36 64 + + 125 125 125 + + --- DATA(-1, -1, 1) + --- DATA(-1, 1, -1) + --- DATA(1, -1, -1) + 48 48 48 + + 125 125 175 + + --- DATA(1, -1, 1) + --- DATA(1, 1, -1) - --- DATA(-1, 0, -1) + 36 36 48 + + 175 25 25 + - --- DATA(-1, 0, 1) - -- DATA(-1, 2, -1) - -- DATA(-1, 2, 1) + 36 32 24 + + 175 35 35 + - --- DATA(1, -1, 0) + -- DATA(2, -1, 0) + -- DATA(2, 1, 0) + 36 24 18 + + 175 25 25 + - --- DATA(-1, 1, 0) - -- DATA(2, 1, -1) - -- DATA(2, 1, 1) + 36 24 18 + + 175 175 35 + - --- DATA(0, -1, -1) - --- DATA(0, -1, 1) + -- DATA(0, 2, -1) + 48 36 24 + + 35 35 35 + + -- DATA(0, 2, 1) + -- DATA(2, 0, -1) + -- DATA(2, 0, 1) + 18 24 18 + + 245 175 175 + + --- DATA(0, 0, -1) - --- DATA(0, 1, -1) - --- DATA(1, 0, -1) + 36 36 36 + + 25 25 + - -- DATA(1, 2, -1) - -- DATA(1, 2, 1) - 7/12 DATA(2, 2, 0) + 24 18 + + 35 35 245 + + -- DATA(1, 2, 0) + -- DATA(-1, 2, 0) + --- DATA(-1, 0, 0) + 18 24 36 + + 35 35 49 + + -- DATA(-1, 0, 2) + -- DATA(1, 0, 2) - -- DATA(0, 2, 0) + 24 18 18 + + 49 35 + - 7/12 DATA(0, 2, 2) - -- DATA(0, 0, 2) + -- DATA(0, 1, 2) + 18 18 + + 245 35 25 + + --- DATA(0, -1, 0) + -- DATA(0, -1, 2) - -- DATA(1, 1, 2) + 36 24 18 + + 25 + + 5/16 DATA(2, 2, -1) + 5/12 DATA(2, 2, 1) - -- DATA(2, -1, -1) + 32 + + 25 175 25 + - -- DATA(2, -1, 1) - --- DATA(-1, -1, 0) - -- DATA(-1, -1, 2) + 24 48 32 + + + 5/16 DATA(2, -1, 2) + 5/16 DATA(-1, 2, 2) - 1/8 DATA(2, 2, 2) + + 25 25 + - -- DATA(1, -1, 2) + 5/12 DATA(2, 1, 2) - -- DATA(-1, 1, 2) + 24 24 + + + 5/12 DATA(1, 2, 2) - 5/288 DATA(3, -2, -1) + 7/216 DATA(3, -2, 0) + + 25 + + 1/144 DATA(3, -2, 2) - 1/864 DATA(3, -2, 3) + --- DATA(3, -1, -1) + 192 + + 35 + - --- DATA(3, -1, 0) - 5/96 DATA(3, -1, 2) + 5/576 DATA(3, -1, 3) + 144 + + 25 35 + + --- DATA(3, 1, -1) - --- DATA(3, 1, 0) - 5/72 DATA(3, 1, 2) + 144 108 + + + 5/432 DATA(3, 1, 3) - 5/96 DATA(3, 2, -1) + 7/72 DATA(3, 2, 0) + + 49 + + 1/48 DATA(3, 2, 2) - 1/288 DATA(3, 2, 3) + --- DATA(0, 0, 3) + 108 + + 35 49 + - --- DATA(0, 3, -1) + --- DATA(0, 3, 0) + 7/72 DATA(0, 3, 2) + 144 108 + + 25 35 + - 7/432 DATA(0, 3, 3) + --- DATA(-1, 3, 1) - --- DATA(0, 3, 1) + 144 108 + + 25 35 + - 5/72 DATA(2, 3, 1) + --- DATA(3, -1, 1) - --- DATA(3, 0, 1) + 144 108 + + 35 + - 5/72 DATA(3, 2, 1) + 5/432 DATA(3, 3, 1) + -- DATA(0, -2, -1) + 72 + + 49 + - -- DATA(0, -2, 0) - 7/36 DATA(0, -2, 2) + 7/216 DATA(0, -2, 3) + 54 + + 35 35 + - --- DATA(0, -1, 3) - --- DATA(0, 1, 3) + 7/72 DATA(0, 2, 3) + 144 108 + + 25 35 + - -- DATA(-2, 1, -1) + -- DATA(-2, 1, 0) + 5/36 DATA(-2, 1, 2) + 72 54 + + - 5/216 DATA(-2, 1, 3) + 5/144 DATA(-2, -2, -1) - 7/108 DATA(-2, -2, 0) + + 25 + - 1/72 DATA(-2, -2, 2) + 1/432 DATA(-2, -2, 3) - -- DATA(-2, -1, -1) + 96 + + 35 + + -- DATA(-2, -1, 0) + 5/48 DATA(-2, -1, 2) - 5/288 DATA(-2, -1, 3) + 72 + + + 5/48 DATA(-2, 2, -1) - 7/36 DATA(-2, 2, 0) - 1/24 DATA(-2, 2, 2) + + 25 + + 1/144 DATA(-2, 2, 3) - 5/96 DATA(-1, 2, 3) + --- DATA(-1, -1, 3) + 192 + + 25 25 35 + + --- DATA(-1, 1, 3) - -- DATA(-1, -2, -1) + -- DATA(-1, -2, 0) + 144 96 72 + + 25 + + 5/48 DATA(-1, -2, 2) - 5/288 DATA(-1, -2, 3) + --- DATA(1, 1, 3) + 108 + + 25 25 35 + + --- DATA(1, -1, 3) - -- DATA(1, -2, -1) + -- DATA(1, -2, 0) + 144 72 54 + + + 5/36 DATA(1, -2, 2) - 5/216 DATA(1, -2, 3) + 5/48 DATA(2, -2, -1) + + - 7/36 DATA(2, -2, 0) - 1/24 DATA(2, -2, 2) + 1/144 DATA(2, -2, 3) + + - 5/96 DATA(2, -1, 3) - 5/72 DATA(1, 2, 3) - 5/72 DATA(2, 1, 3) + + + 1/48 DATA(2, 2, 3) - 5/288 DATA(-2, 3, -1) + 7/216 DATA(-2, 3, 0) + + 35 + + 1/144 DATA(-2, 3, 2) - 1/864 DATA(-2, 3, 3) + -- DATA(-2, 0, -1) + 72 + + 49 + - -- DATA(-2, 0, 0) - 7/36 DATA(-2, 0, 2) + 7/216 DATA(-2, 0, 3) + 54 + + 25 35 + + --- DATA(-1, 3, -1) - --- DATA(-1, 3, 0) - 5/96 DATA(-1, 3, 2) + 192 144 + + 35 35 + + 5/576 DATA(-1, 3, 3) - --- DATA(-1, 0, 3) - --- DATA(1, 0, 3) + 144 108 + + 25 + - 5/72 DATA(1, 3, 2) + 5/432 DATA(1, 3, 3) + --- DATA(1, 3, -1) + 144 + + 35 + - --- DATA(1, 3, 0) + 7/72 DATA(2, 0, 3) - 5/96 DATA(2, 3, -1) + 108 + + \ 2 2 2 + + 7/72 DATA(2, 3, 0) + 1/48 DATA(2, 3, 2) - 1/288 DATA(2, 3, 3)| x y z + / + + /343 196 100 + + |--- DATA(2, 0, 0) + --- DATA(0, 0, 0) - --- DATA(1, 1, 1) + \108 27 27 + + 140 140 100 + - --- DATA(0, 0, 1) - --- DATA(0, 1, 0) + --- DATA(0, 1, 1) + 27 27 27 + + 196 140 140 + - --- DATA(1, 0, 0) + --- DATA(1, 0, 1) + --- DATA(1, 1, 0) + 27 27 27 + + 49 25 + + -- DATA(2, 0, 2) - 5/216 DATA(-2, -2, 1) + --- DATA(-2, -1, 1) + 72 144 + + 25 35 + + --- DATA(-2, 1, 1) - 5/72 DATA(-2, 2, 1) + --- DATA(-1, -2, 1) + 108 216 + + 10 + + -- DATA(1, -2, 1) - 5/576 DATA(3, 3, -1) + 7/432 DATA(3, 3, 0) + 27 + + 35 + + 1/288 DATA(3, 3, 2) - 1/1728 DATA(3, 3, 3) + --- DATA(3, 0, -1) + 144 + + 49 + - --- DATA(3, 0, 0) - 7/72 DATA(3, 0, 2) + 7/432 DATA(3, 0, 3) + 108 + + 35 + - 5/27 DATA(1, 3, 1) - --- DATA(-2, 0, 1) + 5/432 DATA(-2, 3, 1) + 108 + + 35 10 + - --- DATA(2, -2, 1) - -- DATA(0, -2, 1) + 5/216 DATA(3, -2, 1) + 216 27 + + 25 35 49 + - --- DATA(3, 1, 1) + --- DATA(-1, -1, -2) - --- DATA(-1, 0, -2) + 108 288 216 + + 35 10 + + 5/216 DATA(3, 1, -2) + --- DATA(-1, 1, -2) - -- DATA(0, 1, -2) + 216 27 + + 35 14 + - --- DATA(2, 1, -2) - 5/18 DATA(0, -1, -2) + -- DATA(0, 0, -2) + 216 27 + + 35 49 + - --- DATA(2, -1, -2) + --- DATA(2, 0, -2) + 1/9 DATA(0, 2, -2) + 288 216 + + - 1/54 DATA(0, 3, -2) + 7/864 DATA(-1, 3, -2) - 7/144 DATA(-1, 2, -2) + + + 7/144 DATA(2, 2, -2) - 7/864 DATA(2, 3, -2) + 5/288 DATA(3, -1, -2) + + 10 + - 7/216 DATA(3, 0, -2) - 1/144 DATA(3, 2, -2) + -- DATA(1, 1, -2) + 27 + + - 5/288 DATA(-2, -1, -2) + 7/216 DATA(-2, 0, -2) + 1/144 DATA(-2, 2, -2) + + 14 + - 1/864 DATA(-2, 3, -2) - -- DATA(1, 0, -2) - 1/9 DATA(1, 2, -2) + 27 + + + 1/54 DATA(1, 3, -2) + 1/864 DATA(3, 3, -2) + 5/18 DATA(1, -1, -2) + + + 1/27 DATA(0, -2, -2) - 7/432 DATA(-1, -2, -2) - 5/216 DATA(-2, 1, -2) + + + 7/432 DATA(2, -2, -2) + 1/432 DATA(-2, -2, -2) - 1/432 DATA(3, -2, -2) + + 175 175 + - 1/27 DATA(1, -2, -2) - --- DATA(-1, 1, 1) - --- DATA(-1, -1, -1) + 108 192 + + 175 175 25 + - --- DATA(-1, -1, 1) - --- DATA(-1, 1, -1) - -- DATA(1, -1, -1) + 144 144 12 + + 245 + - 25/9 DATA(1, -1, 1) - 25/9 DATA(1, 1, -1) + --- DATA(-1, 0, -1) + 144 + + 245 35 35 + + --- DATA(-1, 0, 1) + -- DATA(-1, 2, -1) + -- DATA(-1, 2, 1) + 108 96 72 + + 245 245 + + 35/9 DATA(1, -1, 0) - --- DATA(2, -1, 0) - --- DATA(2, 1, 0) + 144 108 + + 245 175 175 + + --- DATA(-1, 1, 0) + --- DATA(2, 1, -1) + --- DATA(2, 1, 1) + 108 144 108 + + 25 + + -- DATA(0, -1, -1) + 25/9 DATA(0, -1, 1) - 5/6 DATA(0, 2, -1) + 12 + + 245 245 + - 10/9 DATA(0, 2, 1) - --- DATA(2, 0, -1) - --- DATA(2, 0, 1) + 144 108 + + - 35/9 DATA(0, 0, -1) + 25/9 DATA(0, 1, -1) + 35/9 DATA(1, 0, -1) + + 49 + + 5/6 DATA(1, 2, -1) + 10/9 DATA(1, 2, 1) + -- DATA(2, 2, 0) + 72 + + 49 343 + - 14/9 DATA(1, 2, 0) - -- DATA(-1, 2, 0) - --- DATA(-1, 0, 0) + 72 108 + + 49 + - -- DATA(-1, 0, 2) - 14/9 DATA(1, 0, 2) + 14/9 DATA(0, 2, 0) + 72 + + + 1/3 DATA(0, 2, 2) + 14/9 DATA(0, 0, 2) - 10/9 DATA(0, 1, 2) + + - 35/9 DATA(0, -1, 0) - 5/6 DATA(0, -1, 2) + 10/9 DATA(1, 1, 2) + + 35 35 175 + - -- DATA(2, 2, -1) - -- DATA(2, 2, 1) + --- DATA(2, -1, -1) + 96 72 192 + + 175 245 35 + + --- DATA(2, -1, 1) + --- DATA(-1, -1, 0) + -- DATA(-1, -1, 2) + 144 144 96 + + 35 + - -- DATA(2, -1, 2) - 7/48 DATA(-1, 2, 2) + 7/48 DATA(2, 2, 2) + 96 + + 35 35 + + 5/6 DATA(1, -1, 2) - -- DATA(2, 1, 2) + -- DATA(-1, 1, 2) + 72 72 + + - 1/3 DATA(1, 2, 2) + 5/288 DATA(3, -2, -1) - 7/216 DATA(3, -2, 0) + + 25 + - 1/144 DATA(3, -2, 2) + 1/864 DATA(3, -2, 3) - --- DATA(3, -1, -1) + 192 + + 35 + + --- DATA(3, -1, 0) + 5/96 DATA(3, -1, 2) - 5/576 DATA(3, -1, 3) + 144 + + 25 35 + - --- DATA(3, 1, -1) + --- DATA(3, 1, 0) + 5/72 DATA(3, 1, 2) + 144 108 + + - 5/432 DATA(3, 1, 3) + 5/96 DATA(3, 2, -1) - 7/72 DATA(3, 2, 0) + + - 1/48 DATA(3, 2, 2) + 1/288 DATA(3, 2, 3) - 7/27 DATA(0, 0, 3) + + + 5/36 DATA(0, 3, -1) - 7/27 DATA(0, 3, 0) - 1/18 DATA(0, 3, 2) + + 35 + + 1/108 DATA(0, 3, 3) - --- DATA(-1, 3, 1) + 5/27 DATA(0, 3, 1) + 432 + + 35 25 35 + + --- DATA(2, 3, 1) - --- DATA(3, -1, 1) + --- DATA(3, 0, 1) + 432 144 108 + + + 5/72 DATA(3, 2, 1) - 5/432 DATA(3, 3, 1) - 5/18 DATA(0, -2, -1) + + 14 + + -- DATA(0, -2, 0) + 1/9 DATA(0, -2, 2) - 1/54 DATA(0, -2, 3) + 27 + + + 5/36 DATA(0, -1, 3) + 5/27 DATA(0, 1, 3) - 1/18 DATA(0, 2, 3) + + 25 35 + + --- DATA(-2, 1, -1) - --- DATA(-2, 1, 0) - 5/72 DATA(-2, 1, 2) + 144 108 + + + 5/432 DATA(-2, 1, 3) - 5/288 DATA(-2, -2, -1) + 7/216 DATA(-2, -2, 0) + + 25 + + 1/144 DATA(-2, -2, 2) - 1/864 DATA(-2, -2, 3) + --- DATA(-2, -1, -1) + 192 + + 35 + - --- DATA(-2, -1, 0) - 5/96 DATA(-2, -1, 2) + 5/576 DATA(-2, -1, 3) + 144 + + - 5/96 DATA(-2, 2, -1) + 7/72 DATA(-2, 2, 0) + 1/48 DATA(-2, 2, 2) + + 35 + - 1/288 DATA(-2, 2, 3) + 7/288 DATA(-1, 2, 3) - --- DATA(-1, -1, 3) + 576 + + 35 35 49 + - --- DATA(-1, 1, 3) + --- DATA(-1, -2, -1) - --- DATA(-1, -2, 0) + 432 288 216 + + - 7/144 DATA(-1, -2, 2) + 7/864 DATA(-1, -2, 3) - 5/27 DATA(1, 1, 3) + + 14 + - 5/36 DATA(1, -1, 3) + 5/18 DATA(1, -2, -1) - -- DATA(1, -2, 0) + 27 + + 35 + - 1/9 DATA(1, -2, 2) + 1/54 DATA(1, -2, 3) - --- DATA(2, -2, -1) + 288 + + 49 + + --- DATA(2, -2, 0) + 7/144 DATA(2, -2, 2) - 7/864 DATA(2, -2, 3) + 216 + + 35 35 + + --- DATA(2, -1, 3) + 1/18 DATA(1, 2, 3) + --- DATA(2, 1, 3) + 576 432 + + - 7/288 DATA(2, 2, 3) + 5/576 DATA(-2, 3, -1) - 7/432 DATA(-2, 3, 0) + + 35 + - 1/288 DATA(-2, 3, 2) + 1/1728 DATA(-2, 3, 3) - --- DATA(-2, 0, -1) + 144 + + 49 + + --- DATA(-2, 0, 0) + 7/72 DATA(-2, 0, 2) - 7/432 DATA(-2, 0, 3) + 108 + + 35 49 + - --- DATA(-1, 3, -1) + --- DATA(-1, 3, 0) + 7/288 DATA(-1, 3, 2) + 576 432 + + 49 + - 7/1728 DATA(-1, 3, 3) + --- DATA(-1, 0, 3) + 7/27 DATA(1, 0, 3) + 432 + + + 1/18 DATA(1, 3, 2) - 1/108 DATA(1, 3, 3) - 5/36 DATA(1, 3, -1) + + 49 35 + + 7/27 DATA(1, 3, 0) - --- DATA(2, 0, 3) + --- DATA(2, 3, -1) + 432 576 + + 49 \ 3 2 2 + - --- DATA(2, 3, 0) - 7/288 DATA(2, 3, 2) + 7/1728 DATA(2, 3, 3)| x y z + 432 / + + /50 98 70 + + |-- DATA(1, 1, 1) + -- DATA(0, 0, 1) - -- DATA(0, 1, 1) + \27 27 27 + + 70 + - -- DATA(1, 0, 1) - 7/72 DATA(2, 0, 2) + 1/54 DATA(-2, -2, 1) + 27 + + - 5/36 DATA(-2, -1, 1) - 5/27 DATA(-2, 1, 1) + 1/18 DATA(-2, 2, 1) + + - 5/36 DATA(-1, -2, 1) - 5/27 DATA(1, -2, 1) - 1/216 DATA(3, 3, -1) + + - 1/1728 DATA(3, 3, 2) + 7/54 DATA(3, 0, -1) + 7/432 DATA(3, 0, 2) + + + 5/54 DATA(1, 3, 1) + 7/27 DATA(-2, 0, 1) - 1/108 DATA(-2, 3, 1) + + + 1/18 DATA(2, -2, 1) + 7/27 DATA(0, -2, 1) - 1/108 DATA(3, -2, 1) + + 25 35 + + 5/54 DATA(3, 1, 1) + --- DATA(-1, -1, -2) - --- DATA(-1, 0, -2) + 192 144 + + 25 35 + + 5/432 DATA(3, 1, -2) + --- DATA(-1, 1, -2) - --- DATA(0, 1, -2) + 144 108 + + 35 49 + - 5/72 DATA(2, 1, -2) - --- DATA(0, -1, -2) + --- DATA(0, 0, -2) + 144 108 + + - 5/96 DATA(2, -1, -2) + 7/72 DATA(2, 0, -2) + 7/72 DATA(0, 2, -2) + + - 7/432 DATA(0, 3, -2) + 5/576 DATA(-1, 3, -2) - 5/96 DATA(-1, 2, -2) + + + 1/48 DATA(2, 2, -2) - 1/288 DATA(2, 3, -2) + 5/576 DATA(3, -1, -2) + + 25 + - 7/432 DATA(3, 0, -2) - 1/288 DATA(3, 2, -2) + --- DATA(1, 1, -2) + 108 + + - 5/288 DATA(-2, -1, -2) + 7/216 DATA(-2, 0, -2) + 1/144 DATA(-2, 2, -2) + + 35 + - 1/864 DATA(-2, 3, -2) - --- DATA(1, 0, -2) - 5/72 DATA(1, 2, -2) + 108 + + 25 + + 5/432 DATA(1, 3, -2) + 1/1728 DATA(3, 3, -2) + --- DATA(1, -1, -2) + 144 + + + 7/216 DATA(0, -2, -2) - 5/288 DATA(-1, -2, -2) - 5/216 DATA(-2, 1, -2) + + + 1/144 DATA(2, -2, -2) + 1/432 DATA(-2, -2, -2) - 1/864 DATA(3, -2, -2) + + 25 25 + - 5/216 DATA(1, -2, -2) + -- DATA(-1, 1, 1) - -- DATA(-1, -1, -1) + 18 24 + + 25 25 25 + + -- DATA(-1, -1, 1) - -- DATA(-1, 1, -1) - -- DATA(1, -1, -1) + 24 18 18 + + 25 50 35 + + -- DATA(1, -1, 1) - -- DATA(1, 1, -1) + -- DATA(-1, 0, -1) + 18 27 18 + + 35 + - -- DATA(-1, 0, 1) + 5/12 DATA(-1, 2, -1) - 5/12 DATA(-1, 2, 1) + 18 + + 35 + + 5/9 DATA(2, 1, -1) - 5/9 DATA(2, 1, 1) + -- DATA(0, -1, -1) + 18 + + 35 + - -- DATA(0, -1, 1) - 7/9 DATA(0, 2, -1) + 7/9 DATA(0, 2, 1) + 18 + + 98 + - 7/9 DATA(2, 0, -1) + 7/9 DATA(2, 0, 1) - -- DATA(0, 0, -1) + 27 + + 70 70 + + -- DATA(0, 1, -1) + -- DATA(1, 0, -1) + 5/9 DATA(1, 2, -1) + 27 27 + + 35 35 + - 5/9 DATA(1, 2, 1) + --- DATA(-1, 0, 2) + --- DATA(1, 0, 2) + 144 108 + + 49 35 + - 7/72 DATA(0, 2, 2) - --- DATA(0, 0, 2) + --- DATA(0, 1, 2) + 108 108 + + 35 25 + + --- DATA(0, -1, 2) - --- DATA(1, 1, 2) - 1/6 DATA(2, 2, -1) + 144 108 + + + 1/6 DATA(2, 2, 1) + 5/12 DATA(2, -1, -1) - 5/12 DATA(2, -1, 1) + + 25 + - --- DATA(-1, -1, 2) + 5/96 DATA(2, -1, 2) + 5/96 DATA(-1, 2, 2) + 192 + + 25 + - 1/48 DATA(2, 2, 2) - --- DATA(1, -1, 2) + 5/72 DATA(2, 1, 2) + 144 + + 25 + - --- DATA(-1, 1, 2) + 5/72 DATA(1, 2, 2) + 1/108 DATA(3, -2, -1) + 144 + + + 1/864 DATA(3, -2, 2) - 5/72 DATA(3, -1, -1) - 5/576 DATA(3, -1, 2) + + - 5/54 DATA(3, 1, -1) - 5/432 DATA(3, 1, 2) + 1/36 DATA(3, 2, -1) + + + 1/288 DATA(3, 2, 2) + 7/54 DATA(0, 3, -1) + 7/432 DATA(0, 3, 2) + + + 5/72 DATA(-1, 3, 1) - 7/54 DATA(0, 3, 1) - 1/36 DATA(2, 3, 1) + + + 5/72 DATA(3, -1, 1) - 7/54 DATA(3, 0, 1) - 1/36 DATA(3, 2, 1) + + + 1/216 DATA(3, 3, 1) - 7/27 DATA(0, -2, -1) - 7/216 DATA(0, -2, 2) + + + 5/27 DATA(-2, 1, -1) + 5/216 DATA(-2, 1, 2) - 1/54 DATA(-2, -2, -1) + + - 1/432 DATA(-2, -2, 2) + 5/36 DATA(-2, -1, -1) + 5/288 DATA(-2, -1, 2) + + - 1/18 DATA(-2, 2, -1) - 1/144 DATA(-2, 2, 2) + 5/36 DATA(-1, -2, -1) + + + 5/288 DATA(-1, -2, 2) + 5/27 DATA(1, -2, -1) + 5/216 DATA(1, -2, 2) + + - 1/18 DATA(2, -2, -1) - 1/144 DATA(2, -2, 2) + 1/108 DATA(-2, 3, -1) + + + 1/864 DATA(-2, 3, 2) - 7/27 DATA(-2, 0, -1) - 7/216 DATA(-2, 0, 2) + + - 5/72 DATA(-1, 3, -1) - 5/576 DATA(-1, 3, 2) - 5/432 DATA(1, 3, 2) + + \ 2 2 + - 5/54 DATA(1, 3, -1) + 1/36 DATA(2, 3, -1) + 1/288 DATA(2, 3, 2)| x y z + / + + / 40 56 40 + + |- -- DATA(1, 1, 1) - -- DATA(0, 0, 1) + -- DATA(0, 1, 1) + \ 27 27 27 + + 56 49 + + -- DATA(1, 0, 1) + --- DATA(2, 0, 2) - 1/108 DATA(-2, -2, 1) + 27 432 + + + 5/72 DATA(-2, -1, 1) + 5/54 DATA(-2, 1, 1) - 1/36 DATA(-2, 2, 1) + + + 7/108 DATA(-1, -2, 1) + 4/27 DATA(1, -2, 1) + 1/216 DATA(3, 3, -1) + + + 1/1728 DATA(3, 3, 2) - 7/54 DATA(3, 0, -1) - 7/432 DATA(3, 0, 2) + + - 2/27 DATA(1, 3, 1) - 7/54 DATA(-2, 0, 1) + 1/216 DATA(-2, 3, 1) + + - 7/108 DATA(2, -2, 1) - 4/27 DATA(0, -2, 1) + 1/108 DATA(3, -2, 1) + + 35 49 + - 5/54 DATA(3, 1, 1) - --- DATA(-1, -1, -2) + --- DATA(-1, 0, -2) + 576 432 + + 35 + - 5/432 DATA(3, 1, -2) - --- DATA(-1, 1, -2) + 5/27 DATA(0, 1, -2) + 432 + + 35 + + --- DATA(2, 1, -2) + 5/36 DATA(0, -1, -2) - 7/27 DATA(0, 0, -2) + 432 + + 35 49 + + --- DATA(2, -1, -2) - --- DATA(2, 0, -2) - 1/18 DATA(0, 2, -2) + 576 432 + + + 1/108 DATA(0, 3, -2) - 7/1728 DATA(-1, 3, -2) + 7/288 DATA(-1, 2, -2) + + - 7/288 DATA(2, 2, -2) + 7/1728 DATA(2, 3, -2) - 5/576 DATA(3, -1, -2) + + + 7/432 DATA(3, 0, -2) + 1/288 DATA(3, 2, -2) - 5/27 DATA(1, 1, -2) + + + 5/576 DATA(-2, -1, -2) - 7/432 DATA(-2, 0, -2) - 1/288 DATA(-2, 2, -2) + + + 1/1728 DATA(-2, 3, -2) + 7/27 DATA(1, 0, -2) + 1/18 DATA(1, 2, -2) + + - 1/108 DATA(1, 3, -2) - 1/1728 DATA(3, 3, -2) - 5/36 DATA(1, -1, -2) + + - 1/54 DATA(0, -2, -2) + 7/864 DATA(-1, -2, -2) + 5/432 DATA(-2, 1, -2) + + - 7/864 DATA(2, -2, -2) - 1/864 DATA(-2, -2, -2) + 1/864 DATA(3, -2, -2) + + 35 35 + + 1/54 DATA(1, -2, -2) - -- DATA(-1, 1, 1) + -- DATA(-1, -1, -1) + 54 72 + + 35 35 + - -- DATA(-1, -1, 1) + -- DATA(-1, 1, -1) + 10/9 DATA(1, -1, -1) + 72 54 + + 40 49 + - 10/9 DATA(1, -1, 1) + -- DATA(1, 1, -1) - -- DATA(-1, 0, -1) + 27 54 + + 49 + + -- DATA(-1, 0, 1) - 7/36 DATA(-1, 2, -1) + 7/36 DATA(-1, 2, 1) + 54 + + 35 35 + - -- DATA(2, 1, -1) + -- DATA(2, 1, 1) - 10/9 DATA(0, -1, -1) + 54 54 + + + 10/9 DATA(0, -1, 1) + 4/9 DATA(0, 2, -1) - 4/9 DATA(0, 2, 1) + + 49 49 56 + + -- DATA(2, 0, -1) - -- DATA(2, 0, 1) + -- DATA(0, 0, -1) + 54 54 27 + + 40 56 + - -- DATA(0, 1, -1) - -- DATA(1, 0, -1) - 4/9 DATA(1, 2, -1) + 27 27 + + 49 + + 4/9 DATA(1, 2, 1) - --- DATA(-1, 0, 2) - 7/27 DATA(1, 0, 2) + 432 + + + 1/18 DATA(0, 2, 2) + 7/27 DATA(0, 0, 2) - 5/27 DATA(0, 1, 2) + + - 5/36 DATA(0, -1, 2) + 5/27 DATA(1, 1, 2) + 7/36 DATA(2, 2, -1) + + 35 35 + - 7/36 DATA(2, 2, 1) - -- DATA(2, -1, -1) + -- DATA(2, -1, 1) + 72 72 + + 35 35 + + --- DATA(-1, -1, 2) - --- DATA(2, -1, 2) - 7/288 DATA(-1, 2, 2) + 576 576 + + 35 + + 7/288 DATA(2, 2, 2) + 5/36 DATA(1, -1, 2) - --- DATA(2, 1, 2) + 432 + + 35 + + --- DATA(-1, 1, 2) - 1/18 DATA(1, 2, 2) - 1/108 DATA(3, -2, -1) + 432 + + - 1/864 DATA(3, -2, 2) + 5/72 DATA(3, -1, -1) + 5/576 DATA(3, -1, 2) + + + 5/54 DATA(3, 1, -1) + 5/432 DATA(3, 1, 2) - 1/36 DATA(3, 2, -1) + + - 1/288 DATA(3, 2, 2) - 2/27 DATA(0, 3, -1) - 1/108 DATA(0, 3, 2) + + - 7/216 DATA(-1, 3, 1) + 2/27 DATA(0, 3, 1) + 7/216 DATA(2, 3, 1) + + - 5/72 DATA(3, -1, 1) + 7/54 DATA(3, 0, 1) + 1/36 DATA(3, 2, 1) + + - 1/216 DATA(3, 3, 1) + 4/27 DATA(0, -2, -1) + 1/54 DATA(0, -2, 2) + + - 5/54 DATA(-2, 1, -1) - 5/432 DATA(-2, 1, 2) + 1/108 DATA(-2, -2, -1) + + + 1/864 DATA(-2, -2, 2) - 5/72 DATA(-2, -1, -1) - 5/576 DATA(-2, -1, 2) + + + 1/36 DATA(-2, 2, -1) + 1/288 DATA(-2, 2, 2) - 7/108 DATA(-1, -2, -1) + + - 7/864 DATA(-1, -2, 2) - 4/27 DATA(1, -2, -1) - 1/54 DATA(1, -2, 2) + + + 7/108 DATA(2, -2, -1) + 7/864 DATA(2, -2, 2) - 1/216 DATA(-2, 3, -1) + + - 1/1728 DATA(-2, 3, 2) + 7/54 DATA(-2, 0, -1) + 7/432 DATA(-2, 0, 2) + + + 7/216 DATA(-1, 3, -1) + 7/1728 DATA(-1, 3, 2) + 1/108 DATA(1, 3, 2) + + \ 3 2 + + 2/27 DATA(1, 3, -1) - 7/216 DATA(2, 3, -1) - 7/1728 DATA(2, 3, 2)| x y + / + + / 40 56 56 + z + |- -- DATA(1, 1, 1) - -- DATA(0, 0, 1) + -- DATA(0, 1, 1) + \ 27 27 27 + + 40 + + -- DATA(1, 0, 1) + 1/18 DATA(2, 0, 2) - 1/108 DATA(-2, -2, 1) + 27 + + + 7/108 DATA(-2, -1, 1) + 4/27 DATA(-2, 1, 1) - 7/108 DATA(-2, 2, 1) + + + 5/72 DATA(-1, -2, 1) + 5/54 DATA(1, -2, 1) + 1/216 DATA(3, 3, -1) + + + 1/1728 DATA(3, 3, 2) - 2/27 DATA(3, 0, -1) - 1/108 DATA(3, 0, 2) + + - 5/54 DATA(1, 3, 1) - 4/27 DATA(-2, 0, 1) + 1/108 DATA(-2, 3, 1) + + - 1/36 DATA(2, -2, 1) - 7/54 DATA(0, -2, 1) + 1/216 DATA(3, -2, 1) + + 35 + - 2/27 DATA(3, 1, 1) - --- DATA(-1, -1, -2) + 5/36 DATA(-1, 0, -2) + 576 + + - 1/108 DATA(3, 1, -2) - 5/36 DATA(-1, 1, -2) + 7/27 DATA(0, 1, -2) + + 49 + + 1/18 DATA(2, 1, -2) + --- DATA(0, -1, -2) - 7/27 DATA(0, 0, -2) + 432 + + 49 + + 7/288 DATA(2, -1, -2) - 1/18 DATA(2, 0, -2) - --- DATA(0, 2, -2) + 432 + + 35 + + 7/432 DATA(0, 3, -2) - 5/576 DATA(-1, 3, -2) + --- DATA(-1, 2, -2) + 576 + + - 7/288 DATA(2, 2, -2) + 1/288 DATA(2, 3, -2) - 7/1728 DATA(3, -1, -2) + + + 1/108 DATA(3, 0, -2) + 7/1728 DATA(3, 2, -2) - 5/27 DATA(1, 1, -2) + + + 7/864 DATA(-2, -1, -2) - 1/54 DATA(-2, 0, -2) - 7/864 DATA(-2, 2, -2) + + 35 + + 1/864 DATA(-2, 3, -2) + 5/27 DATA(1, 0, -2) + --- DATA(1, 2, -2) + 432 + + 35 + - 5/432 DATA(1, 3, -2) - 1/1728 DATA(3, 3, -2) - --- DATA(1, -1, -2) + 432 + + - 7/432 DATA(0, -2, -2) + 5/576 DATA(-1, -2, -2) + 1/54 DATA(-2, 1, -2) + + - 1/288 DATA(2, -2, -2) - 1/864 DATA(-2, -2, -2) + 1/1728 DATA(3, -2, -2) + + 35 + + 5/432 DATA(1, -2, -2) - 10/9 DATA(-1, 1, 1) + -- DATA(-1, -1, -1) + 72 + + 35 35 + - -- DATA(-1, -1, 1) + 10/9 DATA(-1, 1, -1) + -- DATA(1, -1, -1) + 72 54 + + 35 40 + - -- DATA(1, -1, 1) + -- DATA(1, 1, -1) - 10/9 DATA(-1, 0, -1) + 54 27 + + 35 35 + + 10/9 DATA(-1, 0, 1) - -- DATA(-1, 2, -1) + -- DATA(-1, 2, 1) + 72 72 + + 49 + - 4/9 DATA(2, 1, -1) + 4/9 DATA(2, 1, 1) - -- DATA(0, -1, -1) + 54 + + 49 49 49 + + -- DATA(0, -1, 1) + -- DATA(0, 2, -1) - -- DATA(0, 2, 1) + 54 54 54 + + 56 + + 4/9 DATA(2, 0, -1) - 4/9 DATA(2, 0, 1) + -- DATA(0, 0, -1) + 27 + + 56 40 35 + - -- DATA(0, 1, -1) - -- DATA(1, 0, -1) - -- DATA(1, 2, -1) + 27 27 54 + + 35 + + -- DATA(1, 2, 1) - 5/36 DATA(-1, 0, 2) - 5/27 DATA(1, 0, 2) + 54 + + 49 + + --- DATA(0, 2, 2) + 7/27 DATA(0, 0, 2) - 7/27 DATA(0, 1, 2) + 432 + + 49 + - --- DATA(0, -1, 2) + 5/27 DATA(1, 1, 2) + 7/36 DATA(2, 2, -1) + 432 + + - 7/36 DATA(2, 2, 1) - 7/36 DATA(2, -1, -1) + 7/36 DATA(2, -1, 1) + + 35 35 + + --- DATA(-1, -1, 2) - 7/288 DATA(2, -1, 2) - --- DATA(-1, 2, 2) + 576 576 + + 35 + + 7/288 DATA(2, 2, 2) + --- DATA(1, -1, 2) - 1/18 DATA(2, 1, 2) + 432 + + 35 + + 5/36 DATA(-1, 1, 2) - --- DATA(1, 2, 2) - 1/216 DATA(3, -2, -1) + 432 + + - 1/1728 DATA(3, -2, 2) + 7/216 DATA(3, -1, -1) + 7/1728 DATA(3, -1, 2) + + + 2/27 DATA(3, 1, -1) + 1/108 DATA(3, 1, 2) - 7/216 DATA(3, 2, -1) + + - 7/1728 DATA(3, 2, 2) - 7/54 DATA(0, 3, -1) - 7/432 DATA(0, 3, 2) + + - 5/72 DATA(-1, 3, 1) + 7/54 DATA(0, 3, 1) + 1/36 DATA(2, 3, 1) + + - 7/216 DATA(3, -1, 1) + 2/27 DATA(3, 0, 1) + 7/216 DATA(3, 2, 1) + + - 1/216 DATA(3, 3, 1) + 7/54 DATA(0, -2, -1) + 7/432 DATA(0, -2, 2) + + - 4/27 DATA(-2, 1, -1) - 1/54 DATA(-2, 1, 2) + 1/108 DATA(-2, -2, -1) + + + 1/864 DATA(-2, -2, 2) - 7/108 DATA(-2, -1, -1) - 7/864 DATA(-2, -1, 2) + + + 7/108 DATA(-2, 2, -1) + 7/864 DATA(-2, 2, 2) - 5/72 DATA(-1, -2, -1) + + - 5/576 DATA(-1, -2, 2) - 5/54 DATA(1, -2, -1) - 5/432 DATA(1, -2, 2) + + + 1/36 DATA(2, -2, -1) + 1/288 DATA(2, -2, 2) - 1/108 DATA(-2, 3, -1) + + - 1/864 DATA(-2, 3, 2) + 4/27 DATA(-2, 0, -1) + 1/54 DATA(-2, 0, 2) + + + 5/72 DATA(-1, 3, -1) + 5/576 DATA(-1, 3, 2) + 5/432 DATA(1, 3, 2) + + \ 2 3 + + 5/54 DATA(1, 3, -1) - 1/36 DATA(2, 3, -1) - 1/288 DATA(2, 3, 2)| x y z + / + + /32 32 32 + + |-- DATA(1, 1, 1) + -- DATA(0, 0, 1) - -- DATA(0, 1, 1) + \27 27 27 + + 32 + - -- DATA(1, 0, 1) - 7/108 DATA(2, 0, 2) + 1/216 DATA(-2, -2, 1) + 27 + + - 7/216 DATA(-2, -1, 1) - 2/27 DATA(-2, 1, 1) + 7/216 DATA(-2, 2, 1) + + - 7/216 DATA(-1, -2, 1) - 2/27 DATA(1, -2, 1) - 1/216 DATA(3, 3, -1) + + - 1/1728 DATA(3, 3, 2) + 2/27 DATA(3, 0, -1) + 1/108 DATA(3, 0, 2) + + + 2/27 DATA(1, 3, 1) + 2/27 DATA(-2, 0, 1) - 1/216 DATA(-2, 3, 1) + + + 7/216 DATA(2, -2, 1) + 2/27 DATA(0, -2, 1) - 1/216 DATA(3, -2, 1) + + 49 + + 2/27 DATA(3, 1, 1) + ---- DATA(-1, -1, -2) - 7/108 DATA(-1, 0, -2) + 1728 + + + 1/108 DATA(3, 1, -2) + 7/108 DATA(-1, 1, -2) - 4/27 DATA(0, 1, -2) + + - 7/108 DATA(2, 1, -2) - 7/108 DATA(0, -1, -2) + 4/27 DATA(0, 0, -2) + + 49 + - ---- DATA(2, -1, -2) + 7/108 DATA(2, 0, -2) + 7/108 DATA(0, 2, -2) + 1728 + + 49 + - 1/108 DATA(0, 3, -2) + 7/1728 DATA(-1, 3, -2) - ---- DATA(-1, 2, -2) + 1728 + + 49 + + ---- DATA(2, 2, -2) - 7/1728 DATA(2, 3, -2) + 7/1728 DATA(3, -1, -2) + 1728 + + - 1/108 DATA(3, 0, -2) - 7/1728 DATA(3, 2, -2) + 4/27 DATA(1, 1, -2) + + - 7/1728 DATA(-2, -1, -2) + 1/108 DATA(-2, 0, -2) + 7/1728 DATA(-2, 2, -2) + + - 1/1728 DATA(-2, 3, -2) - 4/27 DATA(1, 0, -2) - 7/108 DATA(1, 2, -2) + + + 1/108 DATA(1, 3, -2) + 1/1728 DATA(3, 3, -2) + 7/108 DATA(1, -1, -2) + + + 1/108 DATA(0, -2, -2) - 7/1728 DATA(-1, -2, -2) - 1/108 DATA(-2, 1, -2) + + + 7/1728 DATA(2, -2, -2) + 1/1728 DATA(-2, -2, -2) + + 14 + - 1/1728 DATA(3, -2, -2) - 1/108 DATA(1, -2, -2) + -- DATA(-1, 1, 1) + 27 + + 49 49 14 + - --- DATA(-1, -1, -1) + --- DATA(-1, -1, 1) - -- DATA(-1, 1, -1) + 216 216 27 + + 14 14 32 + - -- DATA(1, -1, -1) + -- DATA(1, -1, 1) - -- DATA(1, 1, -1) + 27 27 27 + + 14 14 49 + + -- DATA(-1, 0, -1) - -- DATA(-1, 0, 1) + --- DATA(-1, 2, -1) + 27 27 216 + + 49 14 14 + - --- DATA(-1, 2, 1) + -- DATA(2, 1, -1) - -- DATA(2, 1, 1) + 216 27 27 + + 14 14 14 + + -- DATA(0, -1, -1) - -- DATA(0, -1, 1) - -- DATA(0, 2, -1) + 27 27 27 + + 14 14 14 + + -- DATA(0, 2, 1) - -- DATA(2, 0, -1) + -- DATA(2, 0, 1) + 27 27 27 + + 32 32 32 + - -- DATA(0, 0, -1) + -- DATA(0, 1, -1) + -- DATA(1, 0, -1) + 27 27 27 + + 14 14 + + -- DATA(1, 2, -1) - -- DATA(1, 2, 1) + 7/108 DATA(-1, 0, 2) + 27 27 + + + 4/27 DATA(1, 0, 2) - 7/108 DATA(0, 2, 2) - 4/27 DATA(0, 0, 2) + + + 4/27 DATA(0, 1, 2) + 7/108 DATA(0, -1, 2) - 4/27 DATA(1, 1, 2) + + 49 49 49 + - --- DATA(2, 2, -1) + --- DATA(2, 2, 1) + --- DATA(2, -1, -1) + 216 216 216 + + 49 49 49 + - --- DATA(2, -1, 1) - ---- DATA(-1, -1, 2) + ---- DATA(2, -1, 2) + 216 1728 1728 + + 49 49 + + ---- DATA(-1, 2, 2) - ---- DATA(2, 2, 2) - 7/108 DATA(1, -1, 2) + 1728 1728 + + + 7/108 DATA(2, 1, 2) - 7/108 DATA(-1, 1, 2) + 7/108 DATA(1, 2, 2) + + + 1/216 DATA(3, -2, -1) + 1/1728 DATA(3, -2, 2) - 7/216 DATA(3, -1, -1) + + - 7/1728 DATA(3, -1, 2) - 2/27 DATA(3, 1, -1) - 1/108 DATA(3, 1, 2) + + + 7/216 DATA(3, 2, -1) + 7/1728 DATA(3, 2, 2) + 2/27 DATA(0, 3, -1) + + + 1/108 DATA(0, 3, 2) + 7/216 DATA(-1, 3, 1) - 2/27 DATA(0, 3, 1) + + - 7/216 DATA(2, 3, 1) + 7/216 DATA(3, -1, 1) - 2/27 DATA(3, 0, 1) + + - 7/216 DATA(3, 2, 1) + 1/216 DATA(3, 3, 1) - 2/27 DATA(0, -2, -1) + + - 1/108 DATA(0, -2, 2) + 2/27 DATA(-2, 1, -1) + 1/108 DATA(-2, 1, 2) + + - 1/216 DATA(-2, -2, -1) - 1/1728 DATA(-2, -2, 2) + 7/216 DATA(-2, -1, -1) + + + 7/1728 DATA(-2, -1, 2) - 7/216 DATA(-2, 2, -1) - 7/1728 DATA(-2, 2, 2) + + + 7/216 DATA(-1, -2, -1) + 7/1728 DATA(-1, -2, 2) + 2/27 DATA(1, -2, -1) + + + 1/108 DATA(1, -2, 2) - 7/216 DATA(2, -2, -1) - 7/1728 DATA(2, -2, 2) + + + 1/216 DATA(-2, 3, -1) + 1/1728 DATA(-2, 3, 2) - 2/27 DATA(-2, 0, -1) + + - 1/108 DATA(-2, 0, 2) - 7/216 DATA(-1, 3, -1) - 7/1728 DATA(-1, 3, 2) + + - 1/108 DATA(1, 3, 2) - 2/27 DATA(1, 3, -1) + 7/216 DATA(2, 3, -1) + + \ 3 3 /20 28 + + 7/1728 DATA(2, 3, 2)| x y z + |-- DATA(1, 1, 1) - -- DATA(1, 0, 1) + / \27 27 + + - 7/432 DATA(2, 0, 2) - 1/108 DATA(-2, -2, 1) + 5/72 DATA(-2, -1, 1) + + + 5/54 DATA(-2, 1, 1) - 1/36 DATA(-2, 2, 1) + 2/27 DATA(-1, -2, 1) + + - 2/27 DATA(1, -2, 1) + 1/27 DATA(1, 3, 1) - 7/54 DATA(-2, 0, 1) + + + 1/216 DATA(-2, 3, 1) + 1/108 DATA(2, -2, 1) - 5/72 DATA(-1, -1, -2) + + + 7/54 DATA(-1, 0, -2) - 5/54 DATA(-1, 1, -2) - 5/432 DATA(2, 1, -2) + + - 5/576 DATA(2, -1, -2) + 7/432 DATA(2, 0, -2) - 1/216 DATA(-1, 3, -2) + + + 1/36 DATA(-1, 2, -2) + 1/288 DATA(2, 2, -2) - 1/1728 DATA(2, 3, -2) + + + 5/54 DATA(1, 1, -2) + 5/576 DATA(-2, -1, -2) - 7/432 DATA(-2, 0, -2) + + - 1/288 DATA(-2, 2, -2) + 1/1728 DATA(-2, 3, -2) - 7/54 DATA(1, 0, -2) + + - 1/36 DATA(1, 2, -2) + 1/216 DATA(1, 3, -2) + 5/72 DATA(1, -1, -2) + + + 1/108 DATA(-1, -2, -2) + 5/432 DATA(-2, 1, -2) + 1/864 DATA(2, -2, -2) + + 20 + - 1/864 DATA(-2, -2, -2) - 1/108 DATA(1, -2, -2) - -- DATA(-1, 1, 1) + 27 + + 20 + + 5/9 DATA(-1, -1, -1) - 5/9 DATA(-1, -1, 1) + -- DATA(-1, 1, -1) + 27 + + 20 + - 5/9 DATA(1, -1, -1) + 5/9 DATA(1, -1, 1) - -- DATA(1, 1, -1) + 27 + + 28 28 + - -- DATA(-1, 0, -1) + -- DATA(-1, 0, 1) - 2/9 DATA(-1, 2, -1) + 27 27 + + + 2/9 DATA(-1, 2, 1) + 5/54 DATA(2, 1, -1) - 5/54 DATA(2, 1, 1) + + 28 + - 7/54 DATA(2, 0, -1) + 7/54 DATA(2, 0, 1) + -- DATA(1, 0, -1) + 27 + + + 2/9 DATA(1, 2, -1) - 2/9 DATA(1, 2, 1) - 7/54 DATA(-1, 0, 2) + + + 7/54 DATA(1, 0, 2) - 5/54 DATA(1, 1, 2) - 1/36 DATA(2, 2, -1) + + + 1/36 DATA(2, 2, 1) + 5/72 DATA(2, -1, -1) - 5/72 DATA(2, -1, 1) + + + 5/72 DATA(-1, -1, 2) + 5/576 DATA(2, -1, 2) - 1/36 DATA(-1, 2, 2) + + - 1/288 DATA(2, 2, 2) - 5/72 DATA(1, -1, 2) + 5/432 DATA(2, 1, 2) + + + 5/54 DATA(-1, 1, 2) + 1/36 DATA(1, 2, 2) - 1/27 DATA(-1, 3, 1) + + - 1/216 DATA(2, 3, 1) - 5/54 DATA(-2, 1, -1) - 5/432 DATA(-2, 1, 2) + + + 1/108 DATA(-2, -2, -1) + 1/864 DATA(-2, -2, 2) - 5/72 DATA(-2, -1, -1) + + - 5/576 DATA(-2, -1, 2) + 1/36 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z + 1/108 x y z + + 2 2 2 2 3 3 3 3 3 2 + + 5/144 x y z + 5/576 x y z - 7/1728 y x z + 7/864 y x z + + 2 3 3 3 3 2 3 3 + + 7/864 y x z - 1/216 x y z + 5/576 y x z - 1/216 z y x + + 3 3 3 2 2 3 2 2 3 + - 7/1728 z y x + 5/576 z y x + 1/108 x y z - 5/288 x y z + + 3 3 3 2 3 2 2 3 3 3 + - 1/216 y x z + 1/108 y x z - 5/288 y x z - 7/1728 y x z , + + 2 3 2 3 + COEFF(0, -2, -2) = - 1/72 y z + 1/144 y z + 1/144 z y - 1/54 z y x + + 3 2 2 3 2 3 2 + + 1/108 z y x + 1/27 z y x - 1/54 z y x - 7/432 x y z + + 2 2 2 2 2 2 2 2 3 + + 7/216 x y z + 7/216 x y z - 7/108 x y z - 7/432 x y z + + 3 3 3 3 2 2 3 3 3 2 3 + + 1/108 y x z - 1/54 y x z - 1/54 y x z - 7/432 y x z + + 3 3 3 2 2 2 3 2 3 + + 1/108 z y x - 7/432 z y x + 7/216 x y z - 1/72 y z + + 3 3 3 3 2 2 3 2 2 + + 1/144 y z + 1/144 y z + 7/216 y x z - 1/72 y z - 1/72 y z + + 2 2 3 3 3 2 2 + + 1/36 y z + 1/108 y x z , COEFF(1, -2, -2) = 1/54 x y z + + 2 3 3 2 2 3 2 3 + + 1/54 z y x - 1/108 z y x - 1/27 z y x + 1/54 z y x + 1/216 x y z + + 2 2 2 2 2 2 + + 5/432 x y z - 1/108 x y z - 5/216 x y z - 5/216 x y z + + 2 2 2 2 2 3 3 3 + - 1/108 x y z + 5/108 x y z + 5/432 x y z - 1/108 y x z + + 3 3 2 2 3 3 3 3 2 3 + + 1/54 y x z + 1/54 y x z + 1/216 x y z + 5/432 y x z + + 3 3 3 3 2 2 3 + + 1/216 z y x - 1/108 z y x + 5/432 z y x - 1/108 x y z + + 2 2 3 3 3 3 2 3 2 2 + - 5/216 x y z + 1/216 y x z - 1/108 y x z - 5/216 y x z + + 3 3 3 2 2 2 3 + - 1/108 y x z , COEFF(2, -2, -2) = - 1/432 x y z - 7/864 z y x + + 3 2 2 3 2 3 + + 7/1728 z y x + 7/432 z y x - 7/864 z y x - 1/1728 x y z + + 2 2 2 2 2 2 + - 1/288 x y z + 1/864 x y z + 1/144 x y z + 1/144 x y z + + 2 2 2 2 2 3 3 3 + + 1/864 x y z - 1/72 x y z - 1/288 x y z + 7/1728 y x z + + 3 3 2 2 3 3 3 3 2 3 + - 7/864 y x z - 7/864 y x z - 1/1728 x y z - 1/288 y x z + + 3 3 3 3 2 2 3 + - 1/1728 z y x + 7/1728 z y x - 1/288 z y x + 1/864 x y z + + 2 2 3 3 3 3 2 3 2 2 + + 1/144 x y z - 1/1728 y x z + 1/864 y x z + 1/144 y x z + + 3 3 3 3 2 3 2 3 + + 7/1728 y x z , COEFF(3, -2, -2) = 1/1728 z y 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7/72 y z + 1/9 y z - 5/24 y z - 7/108 y x z , COEFF(1, -1, -2) = + + 2 2 2 3 3 2 2 3 2 3 + - 5/36 x y z - 4/27 z y x + 2/27 z y x + 5/18 z y x - 5/36 z y x + + 2 2 25 2 2 2 2 + - 1/27 x y z - 5/54 x y z + 5/72 x y z + --- x y z + 5/27 x y z + 144 + + 2 25 2 2 2 2 3 3 3 3 3 2 + + 2/27 x y z - -- x y z - 5/54 x y z + 2/27 y x z - 7/54 y x z + 72 + + 2 3 3 3 35 3 2 3 3 + - 5/36 y x z - 1/27 x y z - --- y x z - 7/216 z y x + 432 + + 3 3 35 3 2 2 3 25 2 2 3 + + 7/108 z y x - --- z y x + 5/72 x y z + --- x y z + 432 144 + + 3 3 3 2 35 3 2 2 3 3 3 + - 7/216 y x z + 7/108 y x z + --- y x z + 7/108 y x z , + 216 + + 2 2 2 3 3 + COEFF(2, -1, -2) = 5/288 x y z + 7/108 z y x - 7/216 z y x + + 35 2 2 3 35 2 3 2 2 + - --- z y x + --- z y x + 1/216 x y z + 1/36 x y z - 5/576 x y z + 288 576 + + 2 2 2 2 2 2 2 2 + - 5/96 x y z - 1/18 x y z - 1/108 x y z + 5/48 x y z + + 2 3 3 3 49 3 3 2 35 2 3 3 + + 1/36 x y z - 7/216 y x z + --- y x z + --- y x z + 864 576 + + 3 3 2 3 3 49 3 3 + + 1/216 x y z + 7/288 y x z + 7/1728 z y x - ---- z y x + 1728 + + 3 2 2 3 2 2 3 3 3 + + 7/288 z y x - 5/576 x y z - 5/96 x y z + 7/1728 y x z + + 3 2 3 2 2 49 3 3 3 + - 7/864 y x z - 7/144 y x z - ---- y x z , COEFF(3, -1, -2) = + 1728 + + 3 2 2 3 2 3 2 3 3 + 7/864 y x z - 7/1728 y x z - 1/216 x y z + 1/216 z y x + + 2 2 2 2 3 2 2 3 2 + + 1/108 x y z + 5/288 z y x + 5/576 x y z - 7/1728 z y x + + 2 3 3 2 2 2 3 3 3 2 2 3 + - 5/576 y x z - 5/288 x y z + 7/1728 y x z + 5/576 x y z + + 2 3 2 2 3 3 3 + - 1/108 z y x - 1/216 x y z - 5/576 z y x + 1/216 y x z + + 3 3 2 3 3 2 + - 7/864 y x z + 7/1728 z y x , COEFF(-2, 0, -2) = - 1/72 x z + + 2 2 3 2 2 3 2 3 + + 1/144 x z + 7/216 x y z + 1/144 z x + 7/216 z y x - 7/432 z y x + + 2 2 2 2 2 2 3 3 2 + - 7/432 x y z + 7/216 x y z - 7/108 x y z - 1/54 y x z + + 2 3 3 3 2 3 3 3 3 + - 7/432 y x z - 1/54 y x z + 1/108 z y x + 1/108 z y x + + 3 2 2 3 2 2 3 3 3 + - 1/54 z y x - 7/432 x y z + 7/216 x y z + 1/108 y x z + + 3 3 2 3 2 2 2 3 2 + + 1/144 x z - 1/72 x z - 1/72 x z + 1/36 x z - 1/54 y x z + + 3 2 2 3 3 2 3 3 3 + + 1/27 y x z + 1/144 x z - 1/72 x z + 1/108 y x z , + + 2 2 2 3 + COEFF(-1, 0, -2) = 5/48 x z - 1/18 x z - 7/27 x y z - 7/144 z x + + 49 2 2 3 49 2 3 2 35 2 2 35 2 2 2 + - --- z y x + --- z y x + 7/54 x y z - --- x y z + -- x y z + 216 432 144 72 + + 3 3 2 49 2 3 3 3 2 3 3 + + 7/54 y x z + --- y x z + 5/36 y x z - 2/27 z y x + 432 + + 3 3 3 2 2 3 35 2 2 3 + - 7/108 z y x + 5/36 z y x + 7/54 x y z - --- x y z + 144 + + 3 3 3 3 2 3 2 2 2 + - 2/27 y x z - 7/144 x z + 5/48 x z + 1/9 x z - 5/24 x z + + 3 2 3 2 2 3 3 2 3 3 3 + + 4/27 y x z - 5/18 y x z - 1/18 x z + 7/72 x z - 7/108 y x z , + + 2 2 2 3 + COEFF(0, 0, -2) = - 7/36 y z - 7/36 x z + 1/12 z - 1/6 z + 1/12 z + + 3 3 14 2 2 3 2 3 49 2 2 + + 1/9 z y + 1/9 z x + -- z y x - 7/27 z y x + --- x y z + 27 108 + + 49 2 2 2 3 3 2 2 3 3 3 2 3 + - -- x y z - 8/27 y x z - 7/27 y x z - 7/27 y x z + 54 + + 3 3 3 2 49 2 2 3 3 3 2 3 + + 4/27 z y x - 7/27 z y x + --- x y z + 1/9 x z - 7/36 x z + 108 + + 2 3 3 3 2 2 14 3 2 2 3 2 + - 7/36 y z + 1/9 y z + 7/18 x z + -- y x z - 2/9 y z + 27 + + 2 2 3 2 3 3 3 2 + + 7/18 y z - 2/9 x z + 4/27 y x z , COEFF(1, 0, -2) = 5/36 x z + + 2 2 3 14 2 2 3 2 3 + + 1/18 x z + 7/27 x y z - 1/9 z x - -- z y x + 7/27 z y x + 27 + + 2 35 2 2 35 2 2 2 3 3 2 2 3 3 + - 7/54 x y z - --- x y z + -- x y z + 8/27 y x z + 7/27 y x z + 108 54 + + 3 2 3 3 3 3 3 2 2 3 + + 5/27 y x z + 2/27 z y x - 4/27 z y x + 5/27 z y x - 7/54 x y z + + 35 2 2 3 3 3 3 3 2 3 2 + - --- x y z + 2/27 y x z - 1/9 x z + 5/36 x z - 1/9 x z + 108 + + 2 2 3 2 10 3 2 2 3 3 2 + - 5/18 x z - 4/27 y x z - -- y x z + 1/18 x z + 2/9 x z + 27 + + 3 3 3 2 2 2 + - 4/27 y x z , COEFF(2, 0, -2) = - 1/24 x z - 1/144 x z - 7/216 x y z + + 3 49 2 2 3 49 2 3 2 2 2 + + 7/144 z x + --- z y x - --- z y x + 7/432 x y z + 7/72 x y z + 216 432 + + 2 2 2 3 3 2 49 2 3 3 3 2 3 + - 7/36 x y z - 7/54 y x z - --- y x z - 1/18 y x z + 432 + + 3 3 3 3 2 2 3 + - 1/108 z y x + 7/108 z y x - 1/18 z y x + 7/432 x y z + + 2 2 3 3 3 3 3 2 3 2 + + 7/72 x y z - 1/108 y x z + 7/144 x z - 1/24 x z + 1/72 x z + + 2 2 3 2 3 2 2 3 3 2 + + 1/12 x z + 1/54 y x z + 1/9 y x z - 1/144 x z - 7/72 x z + + 3 3 3 2 3 3 3 2 + + 7/108 y x z , COEFF(3, 0, -2) = 7/432 y x z + 1/108 z y x + + 2 2 3 3 2 2 3 2 3 3 3 + - 7/432 x y z - 1/54 y x z + 1/72 x z - 1/108 y x z + + 2 3 3 2 2 3 3 2 + + 7/432 z y x - 1/144 z x - 1/72 x z - 1/144 x z + 1/144 x z + + 2 3 3 3 2 2 2 2 3 + + 1/144 x z - 1/108 z y x - 7/432 x y z - 7/216 z y x + + 2 2 2 3 2 3 3 3 2 + + 7/216 x y z + 1/108 y x z + 1/54 y x z , COEFF(-2, 1, -2) = + + 2 2 2 3 3 2 2 3 + - 5/216 x y z - 1/108 z y x + 1/216 z y x - 5/216 z y x + + 2 3 2 2 + + 5/432 z y x + 1/216 x y z - 1/108 x y z + 5/432 x y z + + 2 2 2 2 2 2 2 2 + - 5/216 x y z + 1/54 x y z - 1/108 x y z + 5/108 x y z + + 2 3 3 3 3 3 2 2 3 3 + - 1/108 x y z + 1/216 y x z + 1/54 y x z + 5/432 y x z + + 3 3 2 3 3 3 3 + + 1/216 x y z + 1/54 y x z - 1/108 z y x - 1/108 z y x + + 3 2 2 3 2 2 3 3 3 + + 1/54 z y x + 5/432 x y z - 5/216 x y z - 1/108 y x z + + 3 2 3 2 2 3 3 3 + + 1/54 y x z - 1/27 y x z - 1/108 y x z , COEFF(-1, 1, -2) = + + 2 2 2 3 3 35 2 2 3 35 2 3 + 5/27 x y z + 7/108 z y x - 7/216 z y x + --- z y x - --- z y x + 216 432 + + 2 2 25 2 2 2 2 + - 1/27 x y z + 5/72 x y z - 5/54 x y z + --- x y z - 5/36 x y z + 144 + + 2 25 2 2 2 2 3 3 3 3 3 2 + + 2/27 x y z - -- x y z + 5/72 x y z - 7/216 y x z - 7/54 y x z + 72 + + 35 2 3 3 3 3 2 3 3 3 3 + - --- y x z - 1/27 x y z - 5/36 y x z + 2/27 z y x + 7/108 z y x + 432 + + 3 2 2 3 25 2 2 3 3 3 3 2 + - 5/36 z y x - 5/54 x y z + --- x y z + 2/27 y x z - 4/27 y x z + 144 + + 3 2 2 3 3 3 2 + + 5/18 y x z + 7/108 y x z , COEFF(0, 1, -2) = 5/36 y z + 1/18 y z + + 3 2 3 3 10 2 2 3 2 3 + - 1/9 z y - 4/27 z y x + 2/27 z y x - -- z y x + 5/27 z y x + 27 + + 2 35 2 2 2 2 35 2 2 2 2 3 + - 7/54 x y z - --- x y z + 7/27 x y z + -- x y z - 7/54 x y z + 108 54 + + 3 3 3 3 2 2 3 3 3 2 3 + + 2/27 y x z + 8/27 y x z + 5/27 y x z + 7/27 y x z + + 3 3 3 2 35 2 2 3 2 3 3 3 + - 4/27 z y x + 7/27 z y x - --- x y z + 5/36 y z - 1/9 y z + 108 + + 3 14 3 2 2 3 2 2 2 2 + + 1/18 y z - -- y x z + 2/9 y z - 1/9 y z - 5/18 y z + 27 + + 3 3 3 2 2 2 3 + - 4/27 y x z , COEFF(1, 1, -2) = - 5/27 x y z + 4/27 z y x + + 3 10 2 2 3 2 3 2 + - 2/27 z y x + -- z y x - 5/27 z y x + 1/27 x y z + 5/54 x y z + 27 + + 2 25 2 2 2 2 2 25 2 2 2 + + 5/54 x y z + --- x y z - 5/27 x y z - 2/27 x y z - -- x y z + 108 54 + + 2 3 3 3 3 3 2 2 3 3 + + 5/54 x y z - 2/27 y x z - 8/27 y x z - 5/27 y x z + + 3 3 2 3 3 3 3 3 2 + + 1/27 x y z - 5/27 y x z - 2/27 z y x + 4/27 z y x - 5/27 z y x + + 2 3 25 2 2 3 3 3 3 2 10 3 2 2 + + 5/54 x y z + --- x y z - 2/27 y x z + 4/27 y x z + -- y x z + 108 27 + + 3 3 3 2 2 2 3 + + 4/27 y x z , COEFF(2, 1, -2) = 5/216 x y z - 7/108 z y x + + 3 35 2 2 3 35 2 3 2 + + 7/216 z y x - --- z y x + --- z y x - 1/216 x y z - 1/36 x y z + 216 432 + + 2 2 2 2 2 2 + - 5/432 x y z - 5/72 x y z + 1/18 x y z + 1/108 x y z + + 2 2 2 2 3 3 3 3 3 2 + + 5/36 x y z - 1/36 x y z + 7/216 y x z + 7/54 y x z + + 35 2 3 3 3 3 2 3 3 + + --- y x z - 1/216 x y z + 1/18 y x z + 1/108 z y x + 432 + + 3 3 3 2 2 3 2 2 3 + - 7/108 z y x + 1/18 z y x - 5/432 x y z - 5/72 x y z + + 3 3 3 2 3 2 2 3 3 3 + + 1/108 y x z - 1/54 y x z - 1/9 y x z - 7/108 y x z , + + 2 2 2 2 3 3 3 + COEFF(3, 1, -2) = - 1/108 x y z + 5/432 x y z + 1/108 y x z + + 2 3 2 2 2 3 3 2 3 + + 1/108 z y x - 5/216 x y z - 1/216 y x z + 1/216 x y z + + 3 2 2 2 2 3 2 3 3 + - 1/108 z y x + 1/216 x y z + 5/432 x y z - 5/432 y x z + + 3 3 3 2 2 2 3 3 2 2 + - 1/216 z y x - 1/54 y x z + 5/216 z y x + 1/54 y x z + + 2 3 3 3 3 2 3 + - 5/432 z y x + 1/108 z y x - 1/108 y x z , COEFF(-2, 2, -2) = + + 2 2 2 3 3 2 2 3 + 1/144 x y z + 1/864 z y x - 1/1728 z y x + 1/144 z y x + + 2 3 2 2 + - 1/288 z y x - 1/1728 x y z + 1/864 x y z - 1/288 x y z + + 2 2 2 2 2 2 2 2 + + 1/144 x y z - 1/432 x y z + 1/864 x y z - 1/72 x y z + + 2 3 3 3 3 3 2 2 3 3 + + 1/864 x y z - 1/1728 y x z - 7/864 y x z - 1/288 y x z + + 3 3 2 3 3 3 3 + - 1/1728 x y z - 7/864 y x z + 7/1728 z y x + 7/1728 z y x + + 3 2 2 3 2 2 3 3 3 + - 7/864 z y x - 1/288 x y z + 1/144 x y z + 7/1728 y x z + + 3 2 3 2 2 3 3 3 + - 7/864 y x z + 7/432 y x z + 7/1728 y x z , COEFF(-1, 2, -2) = + + 2 2 2 3 3 2 2 3 + - 1/18 x y z - 7/864 z y x + 7/1728 z y x - 7/144 z y x + + 2 3 2 2 2 2 + + 7/288 z y x + 1/216 x y z - 5/576 x y z + 1/36 x y z - 5/96 x y z + + 2 2 2 2 2 2 2 3 + + 5/288 x y z - 1/108 x y z + 5/48 x y z - 5/576 x y z + + 3 3 49 3 3 2 2 3 3 3 + + 7/1728 y x z + --- y x z + 7/288 y x z + 1/216 x y z + 864 + + 35 3 2 3 3 49 3 3 35 3 2 2 3 + + --- y x z - 7/216 z y x - ---- z y x + --- z y x + 1/36 x y z + 576 1728 576 + + 2 2 3 3 3 3 2 35 3 2 2 + - 5/96 x y z - 7/216 y x z + 7/108 y x z - --- y x z + 288 + + 49 3 3 3 2 3 + - ---- y x z , COEFF(0, 2, -2) = - 1/24 y z - 1/144 y z + 7/144 z y + 1728 + + 2 3 3 2 2 3 2 3 2 + + 1/54 z y x - 1/108 z y x + 1/9 z y x - 1/18 z y x + 7/432 x y z + + 2 2 2 2 2 2 2 2 3 + + 7/72 x y z - 7/216 x y z - 7/36 x y z + 7/432 x y z + + 3 3 3 3 2 2 3 3 49 3 2 3 + - 1/108 y x z - 7/54 y x z - 1/18 y x z - --- y x z + 432 + + 3 3 49 3 2 2 2 3 2 3 3 3 + + 7/108 z y x - --- z y x + 7/72 x y z - 1/24 y z + 7/144 y z + 432 + + 3 49 3 2 2 3 2 2 2 2 + - 1/144 y z + --- y x z - 7/72 y z + 1/72 y z + 1/12 y z + 216 + + 3 3 3 2 2 2 3 + + 7/108 y x z , COEFF(1, 2, -2) = 1/18 x y z - 1/54 z y x + + 3 2 2 3 2 3 2 + + 1/108 z y x - 1/9 z y x + 1/18 z y x - 1/216 x y z - 5/432 x y z + + 2 2 2 2 2 2 + - 1/36 x y z - 5/72 x y z + 5/216 x y z + 1/108 x y z + + 2 2 2 2 3 3 3 3 3 2 + + 5/36 x y z - 5/432 x y z + 1/108 y x z + 7/54 y x z + + 2 3 3 3 35 3 2 3 3 + + 1/18 y x z - 1/216 x y z + --- y x z + 7/216 z y x + 432 + + 3 3 35 3 2 2 3 2 2 3 + - 7/108 z y x + --- z y x - 1/36 x y z - 5/72 x y z + 432 + + 3 3 3 2 35 3 2 2 3 3 3 + + 7/216 y x z - 7/108 y x z - --- y x z - 7/108 y x z , + 216 + + 2 2 2 3 3 + COEFF(2, 2, -2) = - 1/144 x y z + 7/864 z y x - 7/1728 z y x + + 2 2 3 2 3 2 + + 7/144 z y x - 7/288 z y x + 1/1728 x y z + 1/288 x y z + + 2 2 2 2 2 2 + + 1/288 x y z + 1/48 x y z - 1/144 x y z - 1/864 x y z + + 2 2 2 2 3 3 3 49 3 3 2 + - 1/24 x y z + 1/288 x y z - 7/1728 y x z - --- y x z + 864 + + 2 3 3 3 3 2 3 3 + - 7/288 y x z + 1/1728 x y z - 7/288 y x z - 7/1728 z y x + + 49 3 3 3 2 2 3 2 2 3 + + ---- z y x - 7/288 z y x + 1/288 x y z + 1/48 x y z + 1728 + + 3 3 3 2 3 2 2 49 3 3 3 + - 7/1728 y x z + 7/864 y x z + 7/144 y x z + ---- y x z , + 1728 + + 3 3 3 3 2 2 2 3 + COEFF(3, 2, -2) = - 7/1728 y x z - 7/864 y x z - 1/1728 x y z + + 2 3 3 3 3 2 2 2 3 + - 1/1728 x y z - 7/1728 z y x + 7/864 y x z - 1/288 x y z + + 3 2 2 3 2 2 3 + + 1/1728 z y x - 1/288 x y z + 7/1728 z y x - 1/864 z y x + + 2 2 3 3 2 3 2 2 3 3 + - 1/144 z y x + 7/1728 y x z + 1/864 x y z + 1/1728 y x z + + 2 3 3 2 3 2 2 2 + + 1/288 y x z + 1/288 z y x + 1/144 x y z , COEFF(-2, 3, -2) = + + 3 3 3 3 3 2 3 2 2 2 2 2 + - 1/1728 y x z + 1/864 y x z - 1/432 y x z + 1/432 x y z + + 3 2 3 3 3 3 3 2 3 + + 1/864 z y x - 1/1728 z y x - 1/1728 y x z + 1/864 y x z + + 2 2 3 2 3 3 2 + - 1/864 x y z - 1/1728 z y x + 1/1728 z y x + 1/864 y x z + + 2 3 2 2 2 2 3 2 3 3 + + 1/1728 x y z - 1/864 x y z - 1/864 x y z + 1/1728 y x z + + 2 2 3 2 2 3 + - 1/864 z y x + 1/1728 x y z, COEFF(-1, 3, -2) = - 7/1728 z y x + + 2 2 2 2 2 2 2 3 3 + - 5/288 x y z + 1/108 x y z + 7/864 z y x + 1/216 z y x + + 3 2 3 3 2 2 2 2 2 3 + - 5/576 y x z - 5/576 z y x + 5/576 x y z + 5/576 x y z + + 3 3 3 2 2 3 3 2 2 + + 7/1728 z y x - 1/108 y x z - 1/216 x y z + 5/288 y x z + + 3 3 3 3 3 2 3 3 2 + + 1/216 y x z + 7/1728 y x z - 1/216 x y z - 7/864 y x z + + 2 3 3 3 3 3 3 + - 7/1728 y x z , COEFF(0, 3, -2) = - 1/144 y z - 1/108 z y x + + 2 3 3 2 2 2 3 2 2 2 + + 1/108 y x z + 7/216 x y z + 7/432 z y x - 7/432 x y z + + 2 3 3 3 3 3 2 2 3 2 + + 1/144 y z - 1/108 y x z - 7/216 y x z + 1/72 y z + + 2 3 3 2 3 2 2 3 3 3 2 + + 1/108 z y x + 7/432 y x z - 7/432 x y z + 1/54 y x z + + 2 2 3 2 2 2 3 + - 1/54 z y x - 1/72 y z + 1/144 y z - 1/144 z y , COEFF(1, 3, -2) = + + 3 2 2 2 2 3 3 3 2 + - 5/432 z y x + 1/216 x y z + 5/432 x y z - 1/54 y x z + + 3 3 3 3 2 3 2 3 + - 1/216 z y x - 1/216 y x z - 5/432 y x z + 1/216 x y z + + 3 2 2 2 2 2 2 3 + + 1/108 y x z - 1/108 x y z + 5/432 x y z - 1/108 z y x + + 2 2 2 2 3 3 3 3 3 3 3 + - 5/216 x y z - 1/108 y x z + 1/108 y x z + 1/108 z y x + + 3 2 2 2 2 3 2 2 + + 5/216 y x z + 1/54 z y x , COEFF(2, 3, -2) = 1/864 x y z + + 3 3 2 3 3 3 3 2 3 3 + + 7/864 y x z - 7/1728 y x z + 1/1728 z y x + 7/1728 y x z + + 3 2 3 3 2 2 2 3 2 2 3 + + 1/288 y x z - 1/864 y x z - 7/864 z y x - 1/288 x y z + + 3 3 2 3 3 2 2 2 2 + - 7/1728 z y x + 7/1728 z y x + 1/288 z y x + 1/144 x y z + + 2 2 3 2 2 3 2 2 + - 1/1728 x y z - 1/1728 x y z - 1/288 x y z - 1/144 y x z + + 3 3 2 3 3 3 + + 1/1728 y x z , COEFF(3, 3, -2) = - 1/1728 z y x + 1/1728 z y x + + 2 2 2 2 2 3 2 2 3 2 + - 1/864 x y z + 1/1728 x y z + 1/864 y x z - 1/1728 z y x + + 2 3 3 3 3 2 3 2 3 3 3 3 + - 1/1728 y x z - 1/864 y x z - 1/1728 y x z + 1/1728 y x z + + 2 2 3 2 2 3 2 2 + + 1/1728 x y z + 1/864 z y x , COEFF(-2, -2, -1) = - 5/288 x y z + + 2 3 3 2 2 3 2 3 + + 5/576 z y x - 1/216 z y x - 5/288 z y x + 1/108 z y x + + 2 2 2 2 2 2 + - 1/216 x y z + 1/108 x y z + 1/108 x y z - 1/54 x y z - 5/288 x y z + + 2 2 2 2 2 3 3 3 + + 5/576 x y z + 5/144 x y z + 7/864 x y z - 7/1728 y x z + + 3 3 2 2 3 3 3 3 2 3 + + 5/576 y x z + 7/864 y x z - 7/1728 x y z + 7/864 y x z + + 3 3 3 3 2 2 3 + - 1/216 z y x - 1/216 z y x + 1/108 z y x + 7/864 x y z + + 2 2 3 3 3 3 2 3 2 2 + - 7/432 x y z - 7/1728 y x z + 5/576 y x z - 5/288 y x z + + 3 3 3 2 2 35 2 3 + - 7/1728 y x z , COEFF(-1, -2, -1) = 5/36 x y z - --- z y x + 576 + + 3 35 2 2 3 2 3 2 + + 7/216 z y x + --- z y x - 7/108 z y x + 1/27 x y z - 5/72 x y z + 288 + + 2 2 2 25 2 2 2 25 2 2 2 + - 2/27 x y z + 5/36 x y z + --- x y z - 5/72 x y z - -- x y z + 192 96 + + 35 2 3 49 3 3 35 3 3 2 49 2 3 3 3 + - --- x y z + ---- y x z - --- y x z - --- y x z + 7/216 x y z + 576 1728 576 864 + + 35 3 2 3 3 3 3 3 2 + - --- y x z + 1/27 z y x + 7/216 z y x - 5/72 z y x + 576 + + 2 3 35 2 2 3 3 3 3 2 + - 7/108 x y z + --- x y z + 7/216 y x z - 5/72 y x z + 288 + + 25 3 2 2 49 3 3 3 2 + + --- y x z + ---- y x z , COEFF(0, -2, -1) = 1/9 y z - 1/18 y z + 192 1728 + + 3 2 3 3 2 2 3 2 3 + - 1/18 z y + 5/36 z y x - 2/27 z y x - 5/18 z y x + 4/27 z y x + + 2 2 2 35 2 2 35 2 2 2 49 2 3 + + 7/54 x y z - 7/27 x y z - --- x y z + -- x y z + --- x y z + 144 72 432 + + 3 3 3 3 2 2 3 3 49 3 2 3 + - 7/108 y x z + 5/36 y x z + 7/54 y x z + --- y x z + 432 + + 3 3 3 2 49 2 2 3 2 3 3 3 + - 2/27 z y x + 7/54 z y x - --- x y z + 7/72 y z - 7/144 y z + 216 + + 3 35 3 2 2 3 2 2 2 2 + - 7/144 y z - --- y x z + 5/48 y z + 5/48 y z - 5/24 y z + 144 + + 3 3 3 2 2 2 3 + - 7/108 y x z , COEFF(1, -2, -1) = - 5/36 x y z - 5/36 z y x + + 3 2 2 3 2 3 2 + + 2/27 z y x + 5/18 z y x - 4/27 z y x - 1/27 x y z - 5/54 x y z + + 2 2 2 25 2 2 2 25 2 2 2 + + 2/27 x y z + 5/27 x y z + --- x y z + 5/72 x y z - -- x y z + 144 72 + + 35 2 3 3 3 3 3 2 2 3 3 + - --- x y z + 7/108 y x z - 5/36 y x z - 7/54 y x z + 432 + + 3 35 3 2 3 3 3 3 3 2 + - 7/216 x y z - --- y x z - 1/27 z y x + 2/27 z y x - 5/54 z y x + 432 + + 2 3 35 2 2 3 3 3 3 2 + + 7/108 x y z + --- x y z - 7/216 y x z + 5/72 y x z + 216 + + 25 3 2 2 3 3 3 2 2 + + --- y x z + 7/108 y x z , COEFF(2, -2, -1) = 5/288 x y z + 144 + + 35 2 3 3 35 2 2 3 2 3 + + --- z y x - 7/216 z y x - --- z y x + 7/108 z y x + 1/216 x y z + 576 288 + + 2 2 2 2 2 2 2 + + 1/36 x y z - 1/108 x y z - 1/18 x y z - 5/96 x y z - 5/576 x y z + + 2 2 2 2 3 49 3 3 35 3 3 2 + + 5/48 x y z + 7/288 x y z - ---- y x z + --- y x z + 1728 576 + + 49 2 3 3 3 3 2 3 3 + + --- y x z + 7/1728 x y z + 7/288 y x z + 1/216 z y x + 864 + + 3 3 3 2 2 3 2 2 3 + - 7/216 z y x + 1/36 z y x - 7/864 x y z - 7/144 x y z + + 3 3 3 2 3 2 2 49 3 3 3 + + 7/1728 y x z - 5/576 y x z - 5/96 y x z - ---- y x z , + 1728 + + 3 3 2 3 3 2 3 + COEFF(3, -2, -1) = 1/216 z y x - 7/864 y x z - 5/576 z y x + + 2 2 2 3 2 2 3 3 2 3 + - 5/288 x y z + 1/216 z y x + 5/288 z y x - 7/1728 y x z + + 3 3 3 3 2 3 3 3 2 3 + + 7/1728 y x z - 5/576 y x z + 7/1728 y x z - 1/108 z y x + + 2 2 3 2 2 3 2 2 + - 1/216 x y z - 7/1728 x y z + 5/576 x y z + 5/576 y x z + + 3 2 2 2 2 2 3 + - 1/216 z y x + 1/108 x y z + 7/864 x y z , COEFF(-2, -1, -1) = + + 25 2 2 2 3 3 25 2 2 3 2 3 + --- x y z - 5/72 z y x + 1/27 z y x + --- z y x - 5/72 z y x + 192 192 + + 2 2 2 2 2 2 + + 1/27 x y z - 2/27 x y z - 5/72 x y z + 5/36 x y z + 5/36 x y z + + 2 25 2 2 2 2 3 3 3 35 3 3 2 + - 5/72 x y z - -- x y z - 7/108 x y z + 7/216 y x z - --- y x z + 96 576 + + 35 2 3 3 3 49 3 2 3 3 + - --- y x z + 7/216 x y z - --- y x z + 7/216 z y x + 576 864 + + 3 3 3 2 35 2 3 35 2 2 3 + + 7/216 z y x - 7/108 z y x - --- x y z + --- x y z + 576 288 + + 49 3 3 35 3 2 35 3 2 2 49 3 3 3 + + ---- y x z - --- y x z + --- y x z + ---- y x z , + 1728 576 288 1728 + + 25 2 2 35 2 3 3 175 2 2 3 + COEFF(-1, -1, -1) = - -- x y z + -- z y x - 7/27 z y x - --- z y x + 24 72 192 + + 35 2 3 2 2 25 2 2 + + -- z y x - 8/27 x y z + 5/9 x y z + 5/9 x y z - -- x y z + 72 24 + + 25 2 2 2 125 2 2 2 35 2 3 49 3 3 + - -- x y z + 5/9 x y z + --- x y z + -- x y z - --- y x z + 24 64 72 216 + + 245 3 3 2 245 2 3 3 3 245 3 2 3 3 + + --- y x z + --- y x z - 7/27 x y z + --- y x z - 7/27 z y x + 576 576 576 + + 49 3 3 35 3 2 35 2 3 175 2 2 3 49 3 3 + - --- z y x + -- z y x + -- x y z - --- x y z - --- y x z + 216 72 72 192 216 + + 35 3 2 175 3 2 2 343 3 3 3 2 + + -- y x z - --- y x z - ---- y x z , COEFF(0, -1, -1) = - 5/6 y z + 72 192 1728 + + 3 2 3 16 3 25 2 2 3 + + 4/9 y z + 7/18 z y - 10/9 z y x + -- z y x + -- z y x + 27 12 + + 2 3 28 2 35 2 2 35 2 2 175 2 2 2 + - 10/9 z y x - -- x y z + -- x y z + -- x y z - --- x y z + 27 18 18 48 + + 49 2 3 14 3 3 35 3 3 2 35 2 3 3 343 3 2 3 + - -- x y z + -- y x z - -- y x z - -- y x z - --- y x z + 54 27 36 36 432 + + 14 3 3 49 3 2 245 2 2 3 35 2 3 49 3 3 + + -- z y x - -- z y x + --- x y z - -- y z + --- y z + 27 54 144 48 144 + + 3 245 3 2 2 35 3 2 2 25 2 2 49 3 3 3 + + 7/18 y z + --- y x z - -- y z - 5/6 y z + -- y z + --- y x z + 144 48 16 108 + + 25 2 2 2 3 16 3 25 2 2 3 + , COEFF(1, -1, -1) = -- x y z + 10/9 z y x - -- z y x - -- z y x + 24 27 12 + + 2 3 20 2 2 25 2 2 + + 10/9 z y x + 8/27 x y z + -- x y z - 5/9 x y z - -- x y z + 27 18 + + 25 2 2 2 125 2 2 2 35 2 3 14 3 3 + - -- x y z - 5/9 x y z + --- x y z + -- x y z - -- y x z + 18 48 54 27 + + 35 3 3 2 35 2 3 3 3 245 3 2 3 3 + + -- y x z + -- y x z + 7/27 x y z + --- y x z + 7/27 z y x + 36 36 432 + + 14 3 3 35 3 2 35 2 3 175 2 2 3 49 3 3 + - -- z y x + -- z y x - -- x y z - --- x y z + --- y x z + 27 54 72 144 216 + + 35 3 2 175 3 2 2 49 3 3 3 + - -- y x z - --- y x z - --- y x z , COEFF(2, -1, -1) = + 72 144 108 + + 25 2 2 35 2 3 3 175 2 2 3 35 2 3 + - --- x y z - -- z y x + 7/27 z y x + --- z y x - -- z y x + 192 72 192 72 + + 2 2 2 2 2 2 + - 1/27 x y z - 2/9 x y z + 5/72 x y z + 5/12 x y z + 5/12 x y z + + 2 25 2 2 2 2 3 49 3 3 245 3 3 2 + + 5/72 x y z - -- x y z - 7/36 x y z + --- y x z - --- y x z + 32 216 576 + + 245 2 3 3 3 49 3 2 3 3 49 3 3 + - --- y x z - 7/216 x y z - --- y x z - 7/216 z y x + --- z y x + 576 288 216 + + 3 2 35 2 3 35 2 2 3 49 3 3 35 3 2 + - 7/36 z y x + --- x y z + -- x y z - ---- y x z + --- y x z + 576 96 1728 576 + + 35 3 2 2 343 3 3 3 3 3 + + -- y x z + ---- y x z , COEFF(3, -1, -1) = - 7/216 y x z + 96 1728 + + 2 3 2 2 25 2 2 3 49 3 2 3 + + 5/72 z y x - 5/72 x y z - --- z y x + ---- y x z + 192 1728 + + 35 2 3 3 35 3 2 2 49 3 3 3 2 2 + + --- y x z - --- y x z - ---- y x z - 5/72 x y z + 576 576 1728 + + 2 3 2 35 2 2 3 3 3 25 2 2 2 + + 5/72 z y x + 1/27 x y z - --- x y z - 7/216 z y x + --- x y z + 576 192 + + 2 3 3 3 2 35 3 3 2 + + 7/216 x y z - 1/27 z y x + 7/216 z y x + --- y x z , + 576 + + 2 35 2 2 3 + COEFF(-2, 0, -1) = 1/9 x z - 1/18 x z - --- x y z - 1/18 z x + 144 + + 35 2 2 3 2 3 2 2 2 35 2 2 2 + - --- z y x + 7/54 z y x + 7/54 x y z - 7/27 x y z + -- x y z + 144 72 + + 3 3 2 49 2 3 3 3 2 3 3 + + 5/36 y x z + --- y x z + 7/54 y x z - 2/27 z y x + 432 + + 3 3 3 2 49 2 3 49 2 2 3 3 3 + - 2/27 z y x + 4/27 z y x + --- x y z - --- x y z - 7/108 y x z + 432 216 + + 3 3 2 3 2 2 2 3 2 + - 7/144 x z + 7/72 x z + 5/48 x z - 5/24 x z + 5/36 y x z + + 3 2 2 3 3 2 3 3 3 + - 5/18 y x z - 7/144 x z + 5/48 x z - 7/108 y x z , + + 2 35 2 2 3 + COEFF(-1, 0, -1) = - 5/6 x z + 4/9 x z + -- x y z + 7/18 z x + 18 + + 245 2 2 3 49 2 3 28 2 35 2 2 175 2 2 2 + + --- z y x - -- z y x - -- x y z + -- x y z - --- x y z + 144 54 27 18 48 + + 35 3 3 2 343 2 3 3 35 3 2 3 16 3 14 3 3 + - -- y x z - --- y x z - -- y x z + -- z y x + -- z y x + 36 432 36 27 27 + + 3 2 49 2 3 245 2 2 3 14 3 3 49 3 3 + - 10/9 z y x - -- x y z + --- x y z + -- y x z + --- x z + 54 144 27 144 + + 35 2 3 2 25 2 2 3 2 25 3 2 2 3 + - -- x z - 5/6 x z + -- x z - 10/9 y x z + -- y x z + 7/18 x z + 48 16 12 + + 35 3 2 49 3 3 3 2 2 + - -- x z + --- y x z , COEFF(0, 0, -1) = 14/9 y z + 14/9 x z - 2/3 z + 48 108 + + 2 3 3 3 2 2 3 56 2 3 + + 5/4 z - 7/12 z - 8/9 z y - 8/9 z x - 35/9 z y x + -- z y x + 27 + + 98 2 2 245 2 2 2 3 3 2 49 2 3 3 49 3 2 3 + - -- x y z + --- x y z + 20/9 y x z + -- y x z + -- y x z + 27 36 27 27 + + 32 3 3 56 3 2 343 2 2 3 3 3 49 2 3 49 2 3 + - -- z y x + -- z y x - --- x y z - 7/9 x z + -- x z + -- y z + 27 27 108 36 36 + + 3 3 35 2 2 3 2 2 3 2 35 2 2 3 2 + - 7/9 y z - -- x z - 35/9 y x z + 5/3 y z - -- y z + 5/3 x z + 12 12 + + 28 3 3 3 2 35 2 2 + - -- y x z , COEFF(1, 0, -1) = - 10/9 x z - 4/9 x z - -- x y z + 27 18 + + 3 2 2 3 56 2 3 28 2 70 2 2 + + 8/9 z x + 35/9 z y x - -- z y x + -- x y z + -- x y z + 27 27 27 + + 175 2 2 2 3 3 2 49 2 3 3 35 3 2 3 16 3 + - --- x y z - 20/9 y x z - -- y x z - -- y x z - -- z y x + 36 27 27 27 + + 32 3 3 40 3 2 49 2 3 245 2 2 3 14 3 3 + + -- z y x - -- z y x + -- x y z + --- x y z - -- y x z + 27 27 54 108 27 + + 3 3 35 2 3 2 25 2 2 3 2 + + 7/9 x z - -- x z + 5/6 x z + -- x z + 10/9 y x z + 36 12 + + 3 2 2 3 3 2 28 3 3 3 + + 25/9 y x z - 7/18 x z - 5/3 x z + -- y x z , COEFF(2, 0, -1) = + 27 + + 2 35 2 2 3 245 2 2 3 49 2 3 + 1/3 x z + 1/18 x z + --- x y z - 7/18 z x - --- z y x + -- z y x + 144 144 54 + + 2 2 2 35 2 2 2 35 3 3 2 343 2 3 3 + - 7/54 x y z - 7/9 x y z + -- x y z + -- y x z + --- y x z + 24 36 432 + + 3 2 3 3 14 3 3 3 2 49 2 3 + + 7/18 y x z + 2/27 z y x - -- z y x + 4/9 z y x - --- x y z + 27 432 + + 49 2 2 3 3 3 49 3 3 2 3 2 + - -- x y z + 7/108 y x z - --- x z + 7/24 x z - 5/48 x z + 72 144 + + 2 2 3 2 3 2 2 3 35 3 2 + - 5/8 x z - 5/36 y x z - 5/6 y x z + 7/144 x z + -- x z + 48 + + 49 3 3 3 3 2 3 2 + - --- y x z , COEFF(3, 0, -1) = - 5/48 x z - 2/27 z y x + 108 + + 3 2 2 2 3 49 2 2 3 3 2 3 + + 5/36 y x z - 7/144 x z + --- x y z - 7/108 y x z + 432 + + 35 2 2 2 3 3 3 3 3 3 2 2 + - --- x y z + 7/144 x z + 2/27 z y x - 5/36 y x z - 1/18 x z + 144 + + 49 2 3 3 3 3 3 2 2 2 2 35 2 2 3 + - --- y x z + 7/108 y x z + 7/54 x y z + 5/48 x z + --- z y x + 432 144 + + 3 2 3 25 2 2 2 3 + + 1/18 z x - 7/54 z y x , COEFF(-2, 1, -1) = --- x y z + 5/72 z y x + 144 + + 3 25 2 2 3 2 3 2 + - 1/27 z y x + --- z y x - 5/54 z y x - 1/27 x y z + 2/27 x y z + 144 + + 2 2 2 2 2 2 25 2 2 2 + - 5/54 x y z + 5/27 x y z - 5/36 x y z + 5/72 x y z - -- x y z + 72 + + 2 3 3 3 3 3 2 35 2 3 3 + + 7/108 x y z - 7/216 y x z - 5/36 y x z - --- y x z + 432 + + 3 3 2 3 3 3 3 3 2 + - 7/216 x y z - 7/54 y x z + 2/27 z y x + 2/27 z y x - 4/27 z y x + + 35 2 3 35 2 2 3 3 3 3 2 + - --- x y z + --- x y z + 7/108 y x z - 5/36 y x z + 432 216 + + 3 2 2 3 3 3 25 2 2 + + 5/18 y x z + 7/108 y x z , COEFF(-1, 1, -1) = - -- x y z + 18 + + 35 2 3 3 175 2 2 3 35 2 3 + - -- z y x + 7/27 z y x - --- z y x + -- z y x + 8/27 x y z + 72 144 54 + + 2 20 2 25 2 2 25 2 2 2 + - 5/9 x y z + -- x y z - -- x y z + -- x y z - 5/9 x y z + 27 18 24 + + 125 2 2 2 35 2 3 49 3 3 35 3 3 2 245 2 3 3 + + --- x y z - -- x y z + --- y x z + -- y x z + --- y x z + 48 72 216 36 432 + + 3 35 3 2 3 16 3 14 3 3 3 2 + + 7/27 x y z + -- y x z - -- z y x - -- z y x + 10/9 z y x + 36 27 27 + + 35 2 3 175 2 2 3 14 3 3 3 2 25 3 2 2 + + -- x y z - --- x y z - -- y x z + 10/9 y x z - -- y x z + 54 144 27 12 + + 49 3 3 3 2 3 + - --- y x z , COEFF(0, 1, -1) = - 10/9 y z - 4/9 y z + 8/9 z y + 108 + + 2 3 16 3 2 2 3 40 2 3 28 2 + + 10/9 z y x - -- z y x + 25/9 z y x - -- z y x + -- x y z + 27 27 27 + + 70 2 2 35 2 2 175 2 2 2 49 2 3 14 3 3 + + -- x y z - -- x y z - --- x y z + -- x y z - -- y x z + 27 18 36 54 27 + + 3 3 2 35 2 3 3 49 3 2 3 32 3 3 56 3 2 + - 20/9 y x z - -- y x z - -- y x z + -- z y x - -- z y x + 27 27 27 27 + + 245 2 2 3 35 2 3 3 3 3 3 2 2 + + --- x y z - -- y z + 7/9 y z - 7/18 y z + 35/9 y x z + 108 36 + + 3 2 2 25 2 2 28 3 3 3 + - 5/3 y z + 5/6 y z + -- y z + -- y x z , COEFF(1, 1, -1) = + 12 27 + + 25 2 2 2 3 16 3 2 2 3 40 2 3 + -- x y z - 10/9 z y x + -- z y x - 25/9 z y x + -- z y x + 18 27 27 + + 20 2 20 2 50 2 2 25 2 2 + - 8/27 x y z - -- x y z - -- x y z - -- x y z + -- x y z + 27 27 27 18 + + 2 125 2 2 2 35 2 3 14 3 3 3 3 2 + + 5/9 x y z + --- x y z - -- x y z + -- y x z + 20/9 y x z + 36 54 27 + + 35 2 3 3 3 35 3 2 3 16 3 32 3 3 + + -- y x z - 7/27 x y z + -- y x z + -- z y x - -- z y x + 27 27 27 27 + + 40 3 2 35 2 3 175 2 2 3 14 3 3 3 2 + + -- z y x - -- x y z - --- x y z + -- y x z - 10/9 y x z + 27 54 108 27 + + 3 2 2 28 3 3 3 25 2 2 + - 25/9 y x z - -- y x z , COEFF(2, 1, -1) = - --- x y z + 27 144 + + 35 2 3 3 175 2 2 3 35 2 3 + + -- z y x - 7/27 z y x + --- z y x - -- z y x + 1/27 x y z + 72 144 54 + + 2 2 2 2 2 2 2 + + 2/9 x y z + 5/54 x y z + 5/9 x y z - 5/12 x y z - 5/72 x y z + + 25 2 2 2 2 3 49 3 3 35 3 3 2 245 2 3 3 + - -- x y z + 7/36 x y z - --- y x z - -- y x z - --- y x z + 24 216 36 432 + + 3 3 2 3 3 14 3 3 3 2 + + 7/216 x y z - 7/18 y x z - 2/27 z y x + -- z y x - 4/9 z y x + 27 + + 35 2 3 35 2 2 3 3 3 3 2 3 2 2 + + --- x y z + -- x y z - 7/108 y x z + 5/36 y x z + 5/6 y x z + 432 72 + + 49 3 3 3 3 2 3 2 2 + + --- y x z , COEFF(3, 1, -1) = 7/108 y x z + 5/72 x y z + 108 + + 3 35 2 3 3 2 3 3 25 2 2 2 + + 1/27 z y x + --- y x z - 1/27 x y z - 2/27 z y x + --- x y z + 432 144 + + 2 3 3 3 3 3 3 2 2 3 + - 7/216 x y z - 7/108 y x z + 5/36 y x z - 5/72 z y x + + 3 3 3 2 2 3 3 2 2 + + 7/216 y x z + 2/27 z y x + 5/54 z y x - 5/36 y x z + + 35 2 2 3 25 2 2 3 2 2 + - --- x y z - --- z y x - 5/54 x y z, COEFF(-2, 2, -1) = + 432 144 + + 2 2 2 3 3 2 2 3 + - 5/96 x y z - 5/576 z y x + 1/216 z y x - 5/96 z y x + + 2 3 2 2 2 2 + + 1/36 z y x + 1/216 x y z - 1/108 x y z + 1/36 x y z - 1/18 x y z + + 2 2 2 2 2 2 2 3 + + 5/288 x y z - 5/576 x y z + 5/48 x y z - 7/864 x y z + + 3 3 35 3 3 2 2 3 3 3 + + 7/1728 y x z + --- y x z + 7/288 y x z + 7/1728 x y z + 576 + + 49 3 2 3 3 3 3 3 2 + + --- y x z - 7/216 z y x - 7/216 z y x + 7/108 z y x + 864 + + 2 3 2 2 3 49 3 3 35 3 2 + + 7/288 x y z - 7/144 x y z - ---- y x z + --- y x z + 1728 576 + + 35 3 2 2 49 3 3 3 2 2 + - --- y x z - ---- y x z , COEFF(-1, 2, -1) = 5/12 x y z + 288 1728 + + 35 2 3 3 35 2 2 3 2 3 + + --- z y x - 7/216 z y x + -- z y x - 7/36 z y x - 1/27 x y z + 576 96 + + 2 2 2 2 25 2 2 2 + + 5/72 x y z - 2/9 x y z + 5/12 x y z - --- x y z + 5/72 x y z + 192 + + 25 2 2 2 35 2 3 49 3 3 245 3 3 2 49 2 3 3 + - -- x y z + --- x y z - ---- y x z - --- y x z - --- y x z + 32 576 1728 576 288 + + 3 245 3 2 3 3 49 3 3 35 3 2 + - 7/216 x y z - --- y x z + 7/27 z y x + --- z y x - -- z y x + 576 216 72 + + 2 3 35 2 2 3 49 3 3 35 3 2 175 3 2 2 + - 7/36 x y z + -- x y z + --- y x z - -- y x z + --- y x z + 96 216 72 192 + + 343 3 3 3 2 3 + + ---- y x z , COEFF(0, 2, -1) = 1/3 y z + 1/18 y z - 7/18 z y + 1728 + + 2 3 3 2 2 3 2 3 2 + - 5/36 z y x + 2/27 z y x - 5/6 z y x + 4/9 z y x - 7/54 x y z + + 2 2 35 2 2 35 2 2 2 49 2 3 3 3 + - 7/9 x y z + --- x y z + -- x y z - --- x y z + 7/108 y x z + 144 24 432 + + 35 3 3 2 2 3 3 343 3 2 3 14 3 3 49 3 2 + + -- y x z + 7/18 y x z + --- y x z - -- z y x + -- z y x + 36 432 27 54 + + 49 2 2 3 2 3 49 3 3 3 245 3 2 2 + - -- x y z + 7/24 y z - --- y z + 7/144 y z - --- y x z + 72 144 144 + + 35 3 2 2 2 2 49 3 3 3 + + -- y z - 5/48 y z - 5/8 y z - --- y x z , COEFF(1, 2, -1) = + 48 108 + + 2 2 2 3 3 2 2 3 2 3 + - 5/12 x y z + 5/36 z y x - 2/27 z y x + 5/6 z y x - 4/9 z y x + + 2 2 2 2 25 2 2 + + 1/27 x y z + 5/54 x y z + 2/9 x y z + 5/9 x y z - --- x y z + 144 + + 2 25 2 2 2 35 2 3 3 3 35 3 3 2 + - 5/72 x y z - -- x y z + --- x y z - 7/108 y x z - -- y x z + 24 432 36 + + 2 3 3 3 245 3 2 3 3 14 3 3 + - 7/18 y x z + 7/216 x y z - --- y x z - 7/27 z y x + -- z y x + 432 27 + + 35 3 2 2 3 35 2 2 3 49 3 3 35 3 2 + - -- z y x + 7/36 x y z + -- x y z - --- y x z + -- y x z + 54 72 216 72 + + 175 3 2 2 49 3 3 3 2 2 + + --- y x z + --- y x z , COEFF(2, 2, -1) = 5/96 x y z + 144 108 + + 35 2 3 3 35 2 2 3 2 3 + - --- z y x + 7/216 z y x - -- z y x + 7/36 z y x - 1/216 x y z + 576 96 + + 2 2 2 2 2 2 2 + - 1/36 x y z - 1/36 x y z - 1/6 x y z + 5/96 x y z + 5/576 x y z + + 2 2 2 2 3 49 3 3 245 3 3 2 + + 5/16 x y z - 7/288 x y z + ---- y x z + --- y x z + 1728 576 + + 49 2 3 3 3 49 3 2 3 3 49 3 3 + + --- y x z - 7/1728 x y z + --- y x z + 7/216 z y x - --- z y x + 288 288 216 + + 3 2 2 3 2 2 3 49 3 3 + + 7/36 z y x - 7/288 x y z - 7/48 x y z + ---- y x z + 1728 + + 35 3 2 35 3 2 2 343 3 3 3 + - --- y x z - -- y x z - ---- y x z , COEFF(3, 2, -1) = + 576 96 1728 + + 2 3 2 3 2 2 3 3 + - 1/36 z y x + 5/576 z y x + 1/36 x y z + 7/216 z y x + + 35 3 3 2 2 2 2 3 3 + - --- y x z - 5/576 x y z + 1/216 x y z - 7/1728 y x z + 576 + + 49 3 2 3 2 2 3 3 2 35 3 2 2 + - ---- y x z + 7/288 x y z - 7/216 z y x + --- y x z + 1728 576 + + 2 2 2 2 2 3 2 3 2 3 3 + - 5/96 x y z + 5/96 z y x + 7/1728 x y z - 7/288 y x z + + 3 49 3 3 3 2 2 + - 1/216 z y x + ---- y x z , COEFF(-2, 3, -1) = 5/576 x y z + 1728 + + 3 2 2 2 3 2 2 2 2 3 + + 5/288 y x z - 7/1728 x y z + 1/108 x y z + 5/576 z y x + + 2 2 3 2 2 2 3 3 3 2 3 + + 7/864 x y z - 5/288 x y z + 7/1728 y x z - 7/864 y x z + + 2 3 3 3 2 3 3 2 + - 7/1728 y x z + 1/216 z y x - 1/216 z y x - 5/576 y x z + + 3 3 3 2 3 3 3 3 3 2 + + 1/216 z y x - 1/108 z y x + 7/1728 y x z - 5/576 y x z + + 2 3 3 2 + - 1/216 x y z, COEFF(-1, 3, -1) = - 7/216 y x z + 1/27 x y z + + 3 35 3 2 3 3 2 35 2 2 3 3 2 + - 1/27 z y x + --- y x z + 5/72 z y x - --- z y x + 5/72 y x z + 576 576 + + 25 2 2 2 35 2 2 3 49 2 3 3 2 2 + + --- x y z - --- x y z + ---- y x z - 5/72 x y z + 192 576 1728 + + 49 3 3 3 2 3 2 2 25 3 2 2 + - ---- y x z + 7/216 x y z - 5/72 x y z - --- y x z + 1728 192 + + 3 3 2 3 35 3 3 2 + - 7/216 z y x + 7/216 z y x + --- y x z , COEFF(0, 3, -1) = + 576 + + 2 2 3 3 2 2 3 2 49 2 2 3 + 7/54 x y z + 7/144 y z + 5/48 y z - 7/54 z y x + --- x y z + 432 + + 3 3 2 49 3 2 3 3 3 3 2 2 2 3 + - 5/36 y x z - --- y x z + 2/27 z y x - 5/48 y z + 5/36 z y x + 432 + + 3 2 3 3 2 35 3 2 2 2 3 + + 1/18 z y - 7/108 y x z - 1/18 y z + --- y x z - 7/144 y z + 144 + + 2 3 3 3 3 35 2 2 2 + - 2/27 z y x + 7/108 y x z - --- x y z , COEFF(1, 3, -1) = + 144 + + 2 2 3 3 3 3 3 2 2 2 + - 5/54 x y z - 2/27 z y x + 1/27 z y x + 5/36 y x z + 5/72 x y z + + 25 3 2 2 25 2 2 2 3 3 35 2 2 3 + - --- y x z + --- x y z + 7/216 y x z - --- x y z + 144 144 432 + + 3 3 3 3 2 2 3 35 3 2 3 + - 7/108 y x z + 5/54 z y x - 7/216 x y z + --- y x z + 432 + + 3 2 2 3 2 2 3 2 3 3 + - 5/72 y x z + 2/27 z y x - 5/36 z y x + 7/108 y x z + + 2 3 2 3 35 3 3 2 + - 1/27 x y z, COEFF(2, 3, -1) = - 7/288 y x z - --- y x z + 576 + + 2 2 35 2 2 3 2 3 3 3 + + 1/36 x y z + --- z y x - 7/216 z y x + 7/216 z y x + 576 + + 2 2 3 3 3 2 2 2 3 2 + + 7/288 x y z - 7/1728 y x z - 5/96 x y z + 5/576 y x z + + 2 2 49 2 3 3 3 2 3 2 2 + - 5/576 x y z - ---- y x z - 1/36 z y x + 5/96 y x z + 1728 + + 2 3 49 3 3 3 2 3 + + 7/1728 x y z + ---- y x z + 1/216 x y z - 1/216 z y x, + 1728 + + 3 2 3 2 2 2 2 2 3 + COEFF(3, 3, -1) = 7/1728 y x z + 5/576 x y z - 7/1728 x y z + + 2 2 2 2 3 3 3 3 3 3 + - 1/216 x y z - 5/576 z y x - 7/1728 y x z - 1/216 z y x + + 3 2 2 2 3 3 3 3 2 2 3 + - 5/576 y x z + 7/1728 y x z + 5/576 y x z + 1/216 z y x + + 3 2 3 3 3 3 2 + + 1/216 z y x , COEFF(-2, -2, 0) = 1/144 y x + 1/144 y x - 1/72 y x + + 2 3 2 2 2 3 2 2 3 2 2 + - 1/72 y x + 7/216 x y z - 7/432 z y x + 7/216 z y x + 1/36 x y + + 2 2 2 2 2 2 2 2 + + 7/216 x y z - 1/72 x y - 7/432 x y z - 7/108 x y z - 1/72 x y + + 3 2 3 3 3 3 3 2 + + 1/144 x y + 1/144 y x - 1/54 x y z + 1/108 y x z - 7/432 y x z + + 2 3 3 3 3 2 3 2 3 + - 1/54 y x z + 1/108 x y z - 1/54 y x z - 1/54 x y z + + 2 2 3 3 3 3 2 3 2 2 + + 1/27 x y z + 1/108 y x z - 7/432 y x z + 7/216 y x z + + 3 3 3 3 3 3 + + 1/108 y x z , COEFF(-1, -2, 0) = - 1/18 y x - 7/144 y x + + 3 2 2 3 2 2 49 2 3 49 2 2 3 + + 5/48 y x + 7/72 y x - 7/27 x y z + --- z y x - --- z y x + 432 216 + + 2 2 35 2 2 2 2 35 2 2 2 + - 5/24 x y - --- x y z + 5/48 x y + 7/54 x y z + -- x y z + 144 72 + + 2 3 2 3 3 3 + + 1/9 x y - 1/18 x y - 7/144 y x + 5/36 x y z - 7/108 y x z + + 49 3 3 2 2 3 3 3 3 2 3 + + --- y x z + 7/54 y x z - 2/27 x y z + 5/36 y x z + 432 + + 2 3 2 2 3 3 3 3 2 + + 4/27 x y z - 5/18 x y z - 2/27 y x z + 7/54 y x z + + 35 3 2 2 3 3 3 3 3 + - --- y x z - 7/108 y x z , COEFF(0, -2, 0) = 1/12 y + 1/9 y x + 144 + + 3 2 2 2 3 3 2 3 14 2 2 3 + - 7/36 y x - 1/6 y - 2/9 y x + 1/12 y - 7/27 z y x + -- z y x + 27 + + 2 2 49 2 2 2 49 2 2 2 3 + + 7/18 x y + --- x y z - 7/36 x y - -- x y z + 1/9 y x + 108 54 + + 2 3 3 3 3 3 2 2 3 3 + - 7/27 x y z + 4/27 y x z - 7/27 y x z - 8/27 y x z + + 3 2 3 14 2 2 3 2 3 3 3 3 + - 7/27 y x z + -- x y z - 2/9 y z + 1/9 y z + 1/9 y z + 27 + + 49 3 2 2 3 2 2 2 2 3 3 3 + + --- y x z - 7/36 y z - 7/36 y z + 7/18 y z + 4/27 y x z , + 108 + + 3 3 3 3 2 2 3 + COEFF(1, -2, 0) = 1/18 y x - 1/9 y x + 5/36 y x + 2/9 y x + + 2 2 2 3 14 2 2 3 2 2 35 2 2 + + 7/27 x y z + 7/27 z y x - -- z y x - 5/18 x y - --- x y z + 27 108 + + 2 2 35 2 2 2 2 3 + + 5/36 x y - 7/54 x y z + -- x y z - 1/9 x y + 1/18 x y - 1/9 y x + 54 + + 2 3 3 3 3 3 2 2 3 3 + + 5/27 x y z - 4/27 y x z + 7/27 y x z + 8/27 y x z + + 3 3 2 3 2 3 10 2 2 3 3 3 + + 2/27 x y z + 5/27 y x z - 4/27 x y z - -- x y z + 2/27 y x z + 27 + + 3 2 35 3 2 2 3 3 3 + - 7/54 y x z - --- y x z - 4/27 y x z , COEFF(2, -2, 0) = + 108 + + 3 3 3 3 2 2 3 2 2 + - 1/144 y x + 7/144 y x - 1/24 y x - 7/72 y x - 7/216 x y z + + 49 2 3 49 2 2 3 2 2 2 2 2 + - --- z y x + --- z y x + 1/12 x y + 7/72 x y z - 1/24 x y + 432 216 + + 2 2 2 2 2 3 + + 7/432 x y z - 7/36 x y z + 1/72 x y - 1/144 x y + 7/144 y x + + 2 3 3 3 49 3 3 2 2 3 3 + - 1/18 x y z + 7/108 y x z - --- y x z - 7/54 y x z + 432 + + 3 3 2 3 2 3 2 2 3 + - 1/108 x y z - 1/18 y x z + 1/54 x y z + 1/9 x y z + + 3 3 3 2 3 2 2 3 3 3 + - 1/108 y x z + 7/432 y x z + 7/72 y x z + 7/108 y x z , + + 2 3 3 2 2 3 2 3 3 + COEFF(3, -2, 0) = 1/54 y x z - 1/72 x y + 1/144 y x - 1/144 y x + + 2 3 3 3 3 3 2 2 3 + + 7/432 z y x - 1/108 y x z + 7/432 y x z + 1/72 y x + + 2 2 3 2 3 2 2 2 2 2 + - 7/216 z y x + 1/144 x y - 7/432 y x z + 7/216 x y z + + 2 3 3 2 2 3 3 2 3 + + 1/108 x y z - 1/144 y x - 1/54 x y z + 1/108 y x z + + 2 2 3 3 3 3 + - 7/432 x y z - 1/108 y x z , COEFF(-2, -1, 0) = - 7/144 y x + + 3 3 3 2 2 3 35 2 2 2 3 + - 7/144 y x + 7/72 y x + 5/48 y x - --- x y z + 7/54 z y x + 144 + + 35 2 2 3 2 2 2 2 2 2 + - --- z y x - 5/24 x y - 7/27 x y z + 1/9 x y + 7/54 x y z + 144 + + 35 2 2 2 2 3 2 3 + + -- x y z + 5/48 x y - 1/18 x y - 1/18 y x + 4/27 x y z + 72 + + 3 3 49 3 3 2 2 3 3 3 + - 2/27 y x z + --- y x z + 5/36 y x z - 2/27 x y z + 432 + + 3 2 3 2 3 2 2 3 3 3 + + 7/54 y x z + 5/36 x y z - 5/18 x y z - 7/108 y x z + + 49 3 2 49 3 2 2 3 3 3 + + --- y x z - --- y x z - 7/108 y x z , COEFF(-1, -1, 0) = + 432 216 + + 3 49 3 3 35 3 2 35 2 3 35 2 2 49 2 3 + 7/18 y x + --- y x - -- y x - -- y x + -- x y z - -- z y x + 144 48 48 18 54 + + 245 2 2 3 25 2 2 35 2 2 2 28 2 + + --- z y x + -- x y + -- x y z - 5/6 x y - -- x y z + 144 16 18 27 + + 175 2 2 2 2 3 2 3 + - --- x y z - 5/6 x y + 4/9 x y + 7/18 y x - 10/9 x y z + 48 + + 14 3 3 343 3 3 2 35 2 3 3 16 3 35 3 2 3 + + -- y x z - --- y x z - -- y x z + -- x y z - -- y x z + 27 432 36 27 36 + + 2 3 25 2 2 3 14 3 3 49 3 2 245 3 2 2 + - 10/9 x y z + -- x y z + -- y x z - -- y x z + --- y x z + 12 27 54 144 + + 49 3 3 3 3 3 49 3 2 2 + + --- y x z , COEFF(0, -1, 0) = - 2/3 y - 7/9 y x + -- y x + 5/4 y + 108 36 + + 2 3 3 56 2 3 2 2 3 35 2 2 98 2 2 + + 5/3 y x - 7/12 y + -- z y x - 35/9 z y x - -- x y - -- x y z + 27 12 27 + + 2 245 2 2 2 3 56 2 3 32 3 3 + + 14/9 x y + --- x y z - 8/9 y x + -- x y z - -- y x z + 36 27 27 + + 49 3 3 2 2 3 3 49 3 2 3 2 2 3 2 3 + + -- y x z + 20/9 y x z + -- y x z - 35/9 x y z + 5/3 y z + 27 27 + + 3 3 3 343 3 2 2 49 3 2 2 35 2 2 + - 7/9 y z - 8/9 y z - --- y x z + -- y z + 14/9 y z - -- y z + 108 36 12 + + 28 3 3 3 3 3 3 35 3 2 + - -- y x z , COEFF(1, -1, 0) = - 7/18 y x + 7/9 y x - -- y x + 27 36 + + 2 3 35 2 2 56 2 3 2 2 3 25 2 2 + - 5/3 y x - -- x y z - -- z y x + 35/9 z y x + -- x y + 18 27 12 + + 70 2 2 2 28 2 175 2 2 2 2 + + -- x y z - 10/9 x y + -- x y z - --- x y z + 5/6 x y - 4/9 x y + 27 27 36 + + 3 40 2 3 32 3 3 49 3 3 2 2 3 3 + + 8/9 y x - -- x y z + -- y x z - -- y x z - 20/9 y x z + 27 27 27 + + 16 3 35 3 2 3 2 3 2 2 3 14 3 3 + - -- x y z - -- y x z + 10/9 x y z + 25/9 x y z - -- y x z + 27 27 27 + + 49 3 2 245 3 2 2 28 3 3 3 3 + + -- y x z + --- y x z + -- y x z , COEFF(2, -1, 0) = 7/144 y x + 54 108 27 + + 49 3 3 3 2 35 2 3 35 2 2 49 2 3 + - --- y x + 7/24 y x + -- y x + --- x y z + -- z y x + 144 48 144 54 + + 245 2 2 3 2 2 2 2 2 2 + - --- z y x - 5/8 x y - 7/9 x y z + 1/3 x y - 7/54 x y z + 144 + + 35 2 2 2 2 3 2 3 + + -- x y z - 5/48 x y + 1/18 x y - 7/18 y x + 4/9 x y z + 24 + + 14 3 3 343 3 3 2 35 2 3 3 3 3 2 3 + - -- y x z + --- y x z + -- y x z + 2/27 x y z + 7/18 y x z + 27 432 36 + + 2 3 2 2 3 3 3 49 3 2 49 3 2 2 + - 5/36 x y z - 5/6 x y z + 7/108 y x z - --- y x z - -- y x z + 432 72 + + 49 3 3 3 49 3 2 2 2 2 + - --- y x z , COEFF(3, -1, 0) = --- y x z + 5/48 x y + 108 432 + + 2 2 3 3 2 2 3 3 3 49 3 3 2 + + 5/36 x y z - 7/144 y x - 7/54 z y x + 7/144 y x - --- y x z + 432 + + 2 3 2 3 2 3 2 2 3 3 3 + - 5/48 y x - 1/18 x y - 7/108 y x z + 7/54 x y z + 7/108 y x z + + 2 3 2 3 3 3 3 3 35 2 2 2 + - 2/27 x y z - 5/36 y x z + 2/27 y x z + 1/18 y x - --- x y z + 144 + + 35 2 2 3 3 3 3 + + --- z y x , COEFF(-2, 0, 0) = 1/12 x + 1/9 y x + 1/9 y x + 144 + + 3 2 3 2 2 3 49 2 2 49 2 2 3 + - 2/9 y x + 1/12 x - 1/6 x - 7/36 y x + --- x y z + --- z y x + 108 108 + + 2 2 49 2 2 2 2 3 3 2 2 3 3 + + 7/18 x y - -- x y z - 7/36 x y - 7/27 y x z - 7/27 y x z + 54 + + 3 2 3 2 3 14 2 2 3 3 3 3 3 + - 8/27 y x z - 7/27 x y z + -- x y z + 4/27 y x z + 1/9 x z + 27 + + 2 3 2 2 2 3 2 14 3 2 2 + - 2/9 x z - 7/36 x z + 7/18 x z - 7/27 y x z + -- y x z + 27 + + 3 3 2 3 3 3 + + 1/9 x z - 7/36 x z + 4/27 y x z , COEFF(-1, 0, 0) = - 2/3 x + + 3 3 3 3 2 3 2 49 2 3 + - 8/9 y x - 7/9 y x + 5/3 y x - 7/12 x + 5/4 x + -- y x + 36 + + 98 2 2 343 2 2 3 35 2 2 245 2 2 2 2 + - -- x y z - --- z y x - -- x y + --- x y z + 14/9 x y + 27 108 12 36 + + 49 3 3 2 49 2 3 3 3 2 3 56 2 3 2 2 3 + + -- y x z + -- y x z + 20/9 y x z + -- x y z - 35/9 x y z + 27 27 27 + + 32 3 3 3 3 2 3 2 35 2 2 56 3 2 + - -- y x z - 7/9 x z + 5/3 x z + 14/9 x z - -- x z + -- y x z + 27 12 27 + + 3 2 2 3 49 3 2 28 3 3 3 + - 35/9 y x z - 8/9 x z + -- x z - -- y x z , COEFF(0, 0, 0) = 1 + 36 27 + + 2 3 3 3 3 2 3 2 2 + - 7/3 z + 4/3 z + 16/9 y x - 28/9 y x + 4/3 x - 7/3 x - 7/3 y + + 2 3 3 196 2 2 3 2 2 343 2 2 2 + - 28/9 y x + 4/3 y + --- z y x + 49/9 x y - --- x y z + 27 27 + + 112 3 3 2 112 2 3 3 112 3 2 3 196 2 2 3 3 3 + - --- y x z - --- y x z - --- y x z + --- x y z + 16/9 x z + 27 27 27 27 + + 2 3 2 3 3 3 2 2 196 3 2 2 + - 28/9 x z - 28/9 y z + 16/9 y z + 49/9 x z + --- y x z + 27 + + 3 2 2 2 3 2 64 3 3 3 + - 28/9 y z + 49/9 y z - 28/9 x z + -- y x z , COEFF(1, 0, 0) = + 27 + + 3 3 3 3 2 3 2 2 3 + 2/3 x + 8/9 y x - 16/9 y x + 20/9 y x - 4/3 x + 5/3 x + 28/9 y x + + 98 2 2 196 2 2 3 2 2 245 2 2 2 2 + + -- x y z - --- z y x - 35/9 x y + --- x y z - 14/9 x y + 27 27 27 + + 112 3 3 2 112 2 3 3 80 3 2 3 56 2 3 140 2 2 3 + + --- y x z + --- y x z + -- y x z - -- x y z - --- x y z + 27 27 27 27 27 + + 32 3 3 3 3 2 3 2 2 2 + + -- y x z - 16/9 x z + 20/9 x z - 14/9 x z - 35/9 x z + 27 + + 56 3 2 140 3 2 2 3 3 2 64 3 3 3 + - -- y x z - --- y x z + 8/9 x z + 28/9 x z - -- y x z , + 27 27 27 + + 3 3 3 3 2 3 + COEFF(2, 0, 0) = - 1/12 x - 1/9 y x + 7/9 y x - 2/3 y x + 7/12 x + + 2 49 2 3 49 2 2 343 2 2 3 2 2 49 2 2 2 + - 1/2 x - -- y x - --- x y z + --- z y x + 7/6 x y - -- x y z + 36 108 108 18 + + 2 49 3 3 2 49 2 3 3 3 2 3 2 3 + + 7/36 x y - -- y x z - -- y x z - 8/9 y x z + 7/27 x y z + 27 27 + + 2 2 3 3 3 3 3 2 3 2 + + 14/9 x y z - 4/27 y x z + 7/9 x z - 2/3 x z + 7/36 x z + + 2 2 3 2 3 2 2 3 49 3 2 + + 7/6 x z + 7/27 y x z + 14/9 y x z - 1/9 x z - -- x z + 36 + + 28 3 3 3 3 3 3 2 2 49 2 2 3 + + -- y x z , COEFF(3, 0, 0) = - 1/9 y x - 7/27 y x z - --- z y x + 27 108 + + 3 2 3 2 3 3 3 2 2 3 2 2 + + 4/27 y x z + 7/27 y x z - 1/12 x - 7/27 x y z - 7/36 x y + + 3 3 2 3 2 49 2 2 2 3 2 2 3 + + 7/27 y x z + 7/36 x z + --- x y z + 1/9 y x + 7/36 y x + 108 + + 3 3 2 2 3 3 3 3 2 2 + - 1/9 x z + 1/12 x + 1/9 x z - 4/27 y x z - 7/36 x z , + + 3 3 3 3 2 2 3 + COEFF(-2, 1, 0) = - 1/9 y x - 1/9 y x + 2/9 y x + 5/36 y x + + 35 2 2 2 3 35 2 2 3 2 2 2 2 + - --- x y z - 7/54 z y x - --- z y x - 5/18 x y + 7/27 x y z + 108 108 + + 2 2 35 2 2 2 2 3 + - 1/9 x y - 7/54 x y z + -- x y z + 5/36 x y + 1/18 x y + 1/18 y x + 54 + + 2 3 3 3 3 3 2 2 3 3 + - 4/27 x y z + 2/27 y x z + 7/27 y x z + 5/27 y x z + + 3 3 2 3 2 3 10 2 2 3 3 3 + + 2/27 x y z + 8/27 y x z + 5/27 x y z - -- x y z - 4/27 y x z + 27 + + 3 2 14 3 2 2 3 3 3 3 + + 7/27 y x z - -- y x z - 4/27 y x z , COEFF(-1, 1, 0) = 8/9 y x + 27 + + 3 3 3 2 35 2 3 70 2 2 49 2 3 + + 7/9 y x - 5/3 y x - -- y x + -- x y z + -- z y x + 36 27 54 + + 245 2 2 3 25 2 2 35 2 2 2 28 2 + + --- z y x + -- x y - -- x y z + 5/6 x y + -- x y z + 108 12 18 27 + + 175 2 2 2 2 3 2 3 + - --- x y z - 10/9 x y - 4/9 x y - 7/18 y x + 10/9 x y z + 36 + + 14 3 3 49 3 3 2 35 2 3 3 16 3 3 2 3 + - -- y x z - -- y x z - -- y x z - -- x y z - 20/9 y x z + 27 27 27 27 + + 40 2 3 2 2 3 32 3 3 56 3 2 3 2 2 + - -- x y z + 25/9 x y z + -- y x z - -- y x z + 35/9 y x z + 27 27 27 + + 28 3 3 3 3 3 3 2 2 + + -- y x z , COEFF(0, 1, 0) = 2/3 y - 16/9 y x + 28/9 y x + 5/3 y + 27 + + 2 3 3 56 2 3 140 2 2 3 2 2 + + 20/9 y x - 4/3 y - -- z y x - --- z y x - 35/9 x y + 27 27 + + 98 2 2 2 245 2 2 2 3 56 2 3 + + -- x y z - 14/9 x y + --- x y z + 8/9 y x - -- x y z + 27 27 27 + + 32 3 3 112 3 3 2 80 2 3 3 112 3 2 3 140 2 2 3 + + -- y x z + --- y x z + -- y x z + --- y x z - --- x y z + 27 27 27 27 27 + + 2 3 3 3 3 196 3 2 2 3 2 + + 20/9 y z - 16/9 y z + 8/9 y z - --- y x z + 28/9 y z + 27 + + 2 2 2 64 3 3 3 3 + - 14/9 y z - 35/9 y z - -- y x z , COEFF(1, 1, 0) = - 8/9 y x + 27 + + 3 3 3 2 2 3 70 2 2 56 2 3 + + 16/9 y x - 20/9 y x - 20/9 y x - -- x y z + -- z y x + 27 27 + + 140 2 2 3 2 2 70 2 2 2 28 2 + + --- z y x + 25/9 x y - -- x y z + 10/9 x y - -- x y z + 27 27 27 + + 175 2 2 2 2 3 40 2 3 32 3 3 + - --- x y z + 10/9 x y + 4/9 x y - 8/9 y x + -- x y z - -- y x z + 27 27 27 + + 112 3 3 2 80 2 3 3 16 3 80 3 2 3 40 2 3 + - --- y x z - -- y x z + -- x y z - -- y x z + -- x y z + 27 27 27 27 27 + + 100 2 2 3 32 3 3 56 3 2 140 3 2 2 64 3 3 3 + + --- x y z - -- y x z + -- y x z + --- y x z + -- y x z , + 27 27 27 27 27 + + 3 3 3 3 2 35 2 3 35 2 2 + COEFF(2, 1, 0) = 1/9 y x - 7/9 y x + 2/3 y x + -- y x + --- x y z + 36 108 + + 49 2 3 245 2 2 3 2 2 2 2 2 + - -- z y x - --- z y x - 5/6 x y + 7/9 x y z - 1/3 x y + 54 108 + + 2 35 2 2 2 2 3 + + 7/54 x y z + -- x y z - 5/36 x y - 1/18 x y + 7/18 y x + 18 + + 2 3 14 3 3 49 3 3 2 35 2 3 3 3 + - 4/9 x y z + -- y x z + -- y x z + -- y x z - 2/27 x y z + 27 27 27 + + 3 2 3 2 3 2 2 3 3 3 + + 8/9 y x z - 5/27 x y z - 10/9 x y z + 4/27 y x z + + 3 2 3 2 2 28 3 3 3 + - 7/27 y x z - 14/9 y x z - -- y x z , COEFF(3, 1, 0) = + 27 + + 2 2 2 2 3 3 3 2 2 3 + - 7/54 x y z + 5/27 x y z + 1/9 y x + 1/18 x y + 2/27 x y z + + 3 3 3 2 3 3 2 3 3 2 + - 2/27 y x z - 4/27 y x z - 1/18 y x + 7/54 z y x - 1/9 y x + + 3 3 3 2 3 3 3 2 35 2 2 3 35 2 2 2 + + 4/27 y x z - 5/36 y x - 7/27 y x z + --- z y x - --- x y z + 108 108 + + 3 2 2 2 3 3 2 2 3 + + 7/27 y x z - 5/27 y x z + 5/36 x y , COEFF(-2, 2, 0) = 7/144 y x + + 3 3 3 2 2 3 2 2 2 3 + + 7/144 y x - 7/72 y x - 1/24 y x + 7/72 x y z + 7/432 z y x + + 2 2 3 2 2 2 2 2 2 + + 7/72 z y x + 1/12 x y - 7/216 x y z + 1/72 x y + 7/432 x y z + + 2 2 2 2 3 2 3 + - 7/36 x y z - 1/24 x y - 1/144 x y - 1/144 y x + 1/54 x y z + + 3 3 49 3 3 2 2 3 3 3 + - 1/108 y x z - --- y x z - 1/18 y x z - 1/108 x y z + 432 + + 3 2 3 2 3 2 2 3 3 3 + - 7/54 y x z - 1/18 x y z + 1/9 x y z + 7/108 y x z + + 49 3 2 49 3 2 2 3 3 3 + - --- y x z + --- y x z + 7/108 y x z , COEFF(-1, 2, 0) = + 432 216 + + 3 49 3 3 35 3 2 2 3 2 2 49 2 3 + - 7/18 y x - --- y x + -- y x + 7/24 y x - 7/9 x y z - --- z y x + 144 48 432 + + 49 2 2 3 2 2 35 2 2 2 2 + - -- z y x - 5/8 x y + --- x y z - 5/48 x y - 7/54 x y z + 72 144 + + 35 2 2 2 2 3 2 3 + + -- x y z + 1/3 x y + 1/18 x y + 7/144 y x - 5/36 x y z + 24 + + 3 3 343 3 3 2 2 3 3 3 35 3 2 3 + + 7/108 y x z + --- y x z + 7/18 y x z + 2/27 x y z + -- y x z + 432 36 + + 2 3 2 2 3 14 3 3 49 3 2 245 3 2 2 + + 4/9 x y z - 5/6 x y z - -- y x z + -- y x z - --- y x z + 27 54 144 + + 49 3 3 3 3 3 49 3 2 2 + - --- y x z , COEFF(0, 2, 0) = - 1/12 y + 7/9 y x - -- y x - 1/2 y + 108 36 + + 2 3 3 2 3 2 2 3 2 2 + - 2/3 y x + 7/12 y + 7/27 z y x + 14/9 z y x + 7/6 x y + + 49 2 2 2 49 2 2 2 3 2 3 + - --- x y z + 7/36 x y - -- x y z - 1/9 y x + 7/27 x y z + 108 18 + + 3 3 49 3 3 2 2 3 3 49 3 2 3 2 2 3 + - 4/27 y x z - -- y x z - 8/9 y x z - -- y x z + 14/9 x y z + 27 27 + + 2 3 3 3 3 343 3 2 2 49 3 2 2 + - 2/3 y z + 7/9 y z - 1/9 y z + --- y x z - -- y z + 7/36 y z + 108 36 + + 2 2 28 3 3 3 3 3 3 + + 7/6 y z + -- y x z , COEFF(1, 2, 0) = 7/18 y x - 7/9 y x + 27 + + 35 3 2 2 3 2 2 2 3 2 2 3 + + -- y x + 2/3 y x + 7/9 x y z - 7/27 z y x - 14/9 z y x + 36 + + 2 2 35 2 2 2 2 35 2 2 2 + - 5/6 x y + --- x y z - 5/36 x y + 7/54 x y z + -- x y z + 108 18 + + 2 3 2 3 3 3 + - 1/3 x y - 1/18 x y + 1/9 y x - 5/27 x y z + 4/27 y x z + + 49 3 3 2 2 3 3 3 35 3 2 3 2 3 + + -- y x z + 8/9 y x z - 2/27 x y z + -- y x z - 4/9 x y z + 27 27 + + 2 2 3 14 3 3 49 3 2 245 3 2 2 28 3 3 3 + - 10/9 x y z + -- y x z - -- y x z - --- y x z - -- y x z , + 27 54 108 27 + + 3 49 3 3 3 2 2 3 + COEFF(2, 2, 0) = - 7/144 y x + --- y x - 7/24 y x - 7/24 y x + 144 + + 2 2 49 2 3 49 2 2 3 2 2 2 2 + - 7/72 x y z + --- z y x + -- z y x + 1/4 x y - 7/72 x y z + 432 72 + + 2 2 2 2 2 2 + + 1/24 x y - 7/432 x y z - 7/12 x y z + 1/24 x y + 1/144 x y + + 3 2 3 3 3 343 3 3 2 2 3 3 + - 7/144 y x + 1/18 x y z - 7/108 y x z - --- y x z - 7/18 y x z + 432 + + 3 3 2 3 2 3 2 2 3 + + 1/108 x y z - 7/18 y x z + 1/18 x y z + 1/3 x y z + + 3 3 49 3 2 49 3 2 2 49 3 3 3 + - 7/108 y x z + --- y x z + -- y x z + --- y x z , COEFF(3, 2, 0) + 432 72 108 + + 3 3 2 3 3 3 3 3 + = 1/108 y x z - 1/108 x y z - 7/108 y x z + 1/144 y x + + 2 3 3 2 2 2 3 2 3 + + 1/18 y x z + 7/432 x y z - 7/432 z y x + 1/24 y x + + 2 2 3 2 2 2 2 2 3 2 2 + - 7/72 z y x + 7/72 x y z - 1/18 x y z - 1/24 x y + + 49 3 3 2 3 2 49 3 2 2 3 3 3 2 3 + + --- y x z + 7/144 y x - --- y x z - 7/144 y x + 7/108 y x z + 432 432 + + 2 3 2 3 3 3 2 + - 1/144 x y, COEFF(-2, 3, 0) = 1/54 y x z + 7/432 y x z + + 2 2 3 3 3 3 3 3 2 3 3 + - 7/432 z y x - 1/108 y x z - 1/144 y x + 1/108 y x z + + 3 2 2 2 2 2 2 2 2 + + 1/72 y x - 1/72 x y + 7/216 x y z - 7/432 x y z + + 3 2 2 3 3 3 2 2 3 + - 7/216 y x z - 1/108 y x z - 1/144 y x + 1/144 x y + 1/144 y x + + 3 2 2 2 3 2 3 + + 7/432 y x z - 1/54 x y z + 1/108 x y z , COEFF(-1, 3, 0) = + + 35 2 2 2 2 3 3 3 3 2 49 2 2 3 + - --- x y z - 7/108 y x z + 1/18 y x - 5/48 y x + --- z y x + 144 432 + + 35 3 2 2 2 2 2 3 3 2 2 + + --- y x z + 5/48 x y - 1/18 x y + 7/144 y x + 7/54 x y z + 144 + + 2 3 3 3 2 2 3 3 2 49 3 3 2 + - 7/144 y x + 2/27 y x z + 5/36 x y z - 7/54 y x z - --- y x z + 432 + + 2 3 3 2 3 3 3 3 + - 2/27 x y z - 5/36 y x z + 7/108 y x z , COEFF(0, 3, 0) = + + 3 3 2 2 3 3 3 2 2 2 3 3 2 3 + 7/27 y x z + 4/27 y x z + 7/36 y z - 7/27 x y z + 7/27 y x z + + 2 2 2 2 3 49 2 2 2 3 3 2 3 + - 7/36 x y - 7/27 z y x + --- x y z - 1/9 y z + 1/9 y z + 108 + + 2 3 3 2 2 3 3 2 3 3 3 + + 1/12 y - 1/9 y x - 7/36 y z - 1/12 y + 7/36 y x - 4/27 y x z + + 2 3 49 3 2 2 3 3 2 2 + + 1/9 y x - --- y x z , COEFF(1, 3, 0) = - 2/27 y x z - 7/54 x y z + 108 + + 2 3 2 3 3 2 2 3 + + 2/27 x y z + 1/18 x y - 1/18 y x + 7/54 y x z - 1/9 y x + + 2 2 3 2 35 3 2 2 3 3 3 2 3 + + 5/36 x y - 5/36 y x + --- y x z + 1/9 y x - 5/27 y x z + 108 + + 2 3 3 3 3 3 2 2 3 2 2 3 + - 4/27 y x z + 4/27 y x z + 7/27 z y x + 5/27 x y z + + 35 2 2 2 3 3 2 3 2 2 + - --- x y z - 7/27 y x z , COEFF(2, 3, 0) = - 7/72 y x z + 108 + + 2 2 3 3 3 3 3 2 3 3 + - 1/18 x y z + 1/144 y x - 7/108 y x z + 7/108 y x z + + 3 2 2 3 2 3 3 3 + - 7/432 y x z + 7/144 y x - 1/108 x y z + 1/108 y x z + + 49 2 2 3 2 2 2 2 3 2 3 2 3 + - --- z y x - 1/144 x y + 7/72 x y z + 1/24 y x + 1/18 y x z + 432 + + 3 3 2 2 2 2 49 3 3 2 + - 7/144 y x + 7/432 x y z - 1/24 x y + --- y x z , COEFF(3, 3, 0) + 432 + + 2 2 2 2 3 2 3 3 3 2 3 + = 1/144 x y + 7/432 z y x - 1/108 y x z - 1/108 y x z + + 2 3 3 2 2 2 2 2 2 2 3 + - 1/144 y x + 7/432 y x z - 7/432 x y z + 1/108 x y z + + 3 2 3 3 3 3 3 3 3 2 + - 1/144 y x + 1/108 y x z + 1/144 y x - 7/432 y x z , + + 2 2 2 3 3 + COEFF(-2, -2, 1) = - 5/216 x y z + 5/432 z y x + 1/216 z y x + + 2 2 3 2 3 2 + - 5/216 z y x - 1/108 z y x + 1/216 x y z - 1/108 x y z + + 2 2 2 2 2 2 + - 1/108 x y z + 1/54 x y z - 5/216 x y z + 5/432 x y z + + 2 2 2 2 3 3 3 3 3 2 + + 5/108 x y z + 1/54 x y z - 1/108 y x z + 5/432 y x z + + 2 3 3 3 3 2 3 3 + + 1/54 y x z - 1/108 x y z + 1/54 y x z + 1/216 z y x + + 3 3 3 2 2 3 2 2 3 + + 1/216 z y x - 1/108 z y x + 1/54 x y z - 1/27 x y z + + 3 3 3 2 3 2 2 3 3 3 + - 1/108 y x z + 5/432 y x z - 5/216 y x z - 1/108 y x z , + + 2 2 35 2 3 3 35 2 2 3 + COEFF(-1, -2, 1) = 5/27 x y z - --- z y x - 7/216 z y x + --- z y x + 432 216 + + 2 3 2 2 2 2 + + 7/108 z y x - 1/27 x y z + 5/72 x y z + 2/27 x y z - 5/36 x y z + + 25 2 2 2 25 2 2 2 2 3 3 3 + + --- x y z - 5/54 x y z - -- x y z - 5/36 x y z + 7/108 y x z + 144 72 + + 35 3 3 2 2 3 3 3 3 2 3 3 + - --- y x z - 7/54 y x z + 2/27 x y z - 5/36 y x z - 1/27 z y x + 432 + + 3 3 3 2 2 3 2 2 3 + - 7/216 z y x + 5/72 z y x - 4/27 x y z + 5/18 x y z + + 3 3 3 2 25 3 2 2 3 3 3 + + 2/27 y x z - 5/54 y x z + --- y x z + 7/108 y x z , + 144 + + 2 3 2 3 + COEFF(0, -2, 1) = - 1/9 y z + 1/18 y z + 1/18 z y + 5/27 z y x + + 3 10 2 2 3 2 3 2 2 2 + + 2/27 z y x - -- z y x - 4/27 z y x - 7/54 x y z + 7/27 x y z + 27 + + 35 2 2 35 2 2 2 2 3 3 3 3 3 2 + - --- x y z + -- x y z + 7/27 x y z - 4/27 y x z + 5/27 y x z + 108 54 + + 2 3 3 3 2 3 3 3 3 2 + + 8/27 y x z + 7/27 y x z + 2/27 z y x - 7/54 z y x + + 14 2 2 3 2 3 3 3 3 35 3 2 2 + - -- x y z + 2/9 y z - 1/9 y z - 1/9 y z - --- y x z + 27 108 + + 3 2 2 2 2 3 3 3 + + 5/36 y z + 5/36 y z - 5/18 y z - 4/27 y x z , COEFF(1, -2, 1) = + + 2 2 2 3 3 10 2 2 3 2 3 + - 5/27 x y z - 5/27 z y x - 2/27 z y x + -- z y x + 4/27 z y x + 27 + + 2 2 2 2 25 2 2 + + 1/27 x y z + 5/54 x y z - 2/27 x y z - 5/27 x y z + --- x y z + 108 + + 2 25 2 2 2 2 3 3 3 3 3 2 + + 5/54 x y z - -- x y z - 5/27 x y z + 4/27 y x z - 5/27 y x z + 54 + + 2 3 3 3 3 2 3 3 3 3 + - 8/27 y x z - 2/27 x y z - 5/27 y x z + 1/27 z y x - 2/27 z y x + + 3 2 2 3 10 2 2 3 3 3 3 2 + + 5/54 z y x + 4/27 x y z + -- x y z - 2/27 y x z + 5/54 y x z + 27 + + 25 3 2 2 3 3 3 2 2 + + --- y x z + 4/27 y x z , COEFF(2, -2, 1) = 5/216 x y z + 108 + + 35 2 3 3 35 2 2 3 2 3 + + --- z y x + 7/216 z y x - --- z y x - 7/108 z y x - 1/216 x y z + 432 216 + + 2 2 2 2 2 2 2 + - 1/36 x y z + 1/108 x y z + 1/18 x y z - 5/72 x y z - 5/432 x y z + + 2 2 2 2 3 3 3 35 3 3 2 + + 5/36 x y z + 1/18 x y z - 7/108 y x z + --- y x z + 432 + + 2 3 3 3 3 2 3 3 + + 7/54 y x z + 1/108 x y z + 1/18 y x z - 1/216 z y x + + 3 3 3 2 2 3 2 2 3 + + 7/216 z y x - 1/36 z y x - 1/54 x y z - 1/9 x y z + + 3 3 3 2 3 2 2 3 3 3 + + 1/108 y x z - 5/432 y x z - 5/72 y x z - 7/108 y x z , + + 2 2 3 2 2 3 3 + COEFF(3, -2, 1) = 5/432 x y z + 5/432 y x z + 1/108 y x z + + 2 3 2 2 2 2 2 3 + - 1/108 x y z - 1/108 x y z - 5/216 x y z - 1/216 z y x + + 2 3 2 2 3 3 3 2 2 + + 1/108 z y x + 5/216 z y x - 5/432 y x z + 1/216 x y z + + 2 3 2 2 3 3 3 2 3 3 + - 5/432 z y x + 1/54 x y z - 1/216 z y x - 1/54 y x z + + 3 3 3 3 2 3 3 2 + + 1/108 y x z - 1/108 y x z + 1/216 z y x , COEFF(-2, -1, 1) = + + 25 2 2 2 3 3 25 2 2 3 2 3 + --- x y z - 5/54 z y x - 1/27 z y x + --- z y x + 5/72 z y x + 144 144 + + 2 2 2 2 2 2 + - 1/27 x y z + 2/27 x y z + 5/72 x y z - 5/36 x y z + 5/27 x y z + + 2 25 2 2 2 2 3 3 3 35 3 3 2 + - 5/54 x y z - -- x y z - 4/27 x y z + 2/27 y x z - --- y x z + 72 432 + + 2 3 3 3 3 2 3 3 + - 5/36 y x z + 2/27 x y z - 7/54 y x z - 7/216 z y x + + 3 3 3 2 2 3 2 2 3 + - 7/216 z y x + 7/108 z y x - 5/36 x y z + 5/18 x y z + + 3 3 35 3 2 35 3 2 2 3 3 3 + + 7/108 y x z - --- y x z + --- y x z + 7/108 y x z , + 432 216 + + 25 2 2 35 2 3 3 175 2 2 3 + COEFF(-1, -1, 1) = - -- x y z + -- z y x + 7/27 z y x - --- z y x + 18 54 144 + + 35 2 3 2 2 25 2 2 + - -- z y x + 8/27 x y z - 5/9 x y z - 5/9 x y z + -- x y z + 72 24 + + 25 2 2 20 2 125 2 2 2 2 3 14 3 3 + - -- x y z + -- x y z + --- x y z + 10/9 x y z - -- y x z + 18 27 48 27 + + 245 3 3 2 35 2 3 3 16 3 35 3 2 3 3 + + --- y x z + -- y x z - -- x y z + -- y x z + 7/27 z y x + 432 36 27 36 + + 49 3 3 35 3 2 2 3 25 2 2 3 14 3 3 + + --- z y x - -- z y x + 10/9 x y z - -- x y z - -- y x z + 216 72 12 27 + + 35 3 2 175 3 2 2 49 3 3 3 2 + + -- y x z - --- y x z - --- y x z , COEFF(0, -1, 1) = 5/6 y z + 54 144 108 + + 3 40 2 3 16 3 2 2 3 + - 4/9 y z - 7/18 z y - -- z y x - -- z y x + 25/9 z y x + 27 27 + + 2 3 28 2 35 2 2 70 2 2 175 2 2 2 + + 10/9 z y x + -- x y z - -- x y z + -- x y z - --- x y z + 27 18 27 36 + + 56 2 3 32 3 3 35 3 3 2 2 3 3 49 3 2 3 + - -- x y z + -- y x z - -- y x z - 20/9 y x z - -- y x z + 27 27 27 27 + + 14 3 3 49 3 2 2 2 3 2 3 3 3 + - -- z y x + -- z y x + 35/9 x y z - 5/3 y z + 7/9 y z + 27 54 + + 3 245 3 2 2 35 3 2 2 25 2 2 28 3 3 3 + + 8/9 y z + --- y x z - -- y z - 10/9 y z + -- y z + -- y x z , + 108 36 12 27 + + 25 2 2 40 2 3 16 3 2 2 3 + COEFF(1, -1, 1) = -- x y z + -- z y x + -- z y x - 25/9 z y x + 18 27 27 + + 2 3 20 2 2 25 2 2 + - 10/9 z y x - 8/27 x y z - -- x y z + 5/9 x y z + -- x y z + 27 18 + + 50 2 2 20 2 125 2 2 2 40 2 3 32 3 3 + - -- x y z - -- x y z + --- x y z + -- x y z - -- y x z + 27 27 36 27 27 + + 35 3 3 2 2 3 3 16 3 35 3 2 3 3 + + -- y x z + 20/9 y x z + -- x y z + -- y x z - 7/27 z y x + 27 27 27 + + 14 3 3 35 3 2 2 3 2 2 3 14 3 3 + + -- z y x - -- z y x - 10/9 x y z - 25/9 x y z + -- y x z + 27 54 27 + + 35 3 2 175 3 2 2 28 3 3 3 25 2 2 + - -- y x z - --- y x z - -- y x z , COEFF(2, -1, 1) = - --- x y z + 54 108 27 144 + + 35 2 3 3 175 2 2 3 35 2 3 + - -- z y x - 7/27 z y x + --- z y x + -- z y x + 1/27 x y z + 54 144 72 + + 2 2 2 2 2 2 2 + + 2/9 x y z - 5/72 x y z - 5/12 x y z + 5/9 x y z + 5/54 x y z + + 25 2 2 2 2 3 14 3 3 245 3 3 2 35 2 3 3 + - -- x y z - 4/9 x y z + -- y x z - --- y x z - -- y x z + 24 27 432 36 + + 3 3 2 3 3 49 3 3 3 2 + - 2/27 x y z - 7/18 y x z + 7/216 z y x - --- z y x + 7/36 z y x + 216 + + 2 3 2 2 3 3 3 35 3 2 35 3 2 2 + + 5/36 x y z + 5/6 x y z - 7/108 y x z + --- y x z + -- y x z + 432 72 + + 49 3 3 3 2 3 2 3 + + --- y x z , COEFF(3, -1, 1) = - 5/72 z y x + 5/54 z y x + 108 + + 25 2 2 3 2 2 2 2 3 2 3 + - --- z y x - 5/54 x y z + 5/72 x y z + 7/108 y x z + 144 + + 35 3 3 2 3 3 3 3 3 3 + + --- y x z - 7/108 y x z + 7/216 z y x + 1/27 z y x + 432 + + 2 3 3 3 3 2 2 3 35 3 2 2 + + 5/36 y x z - 2/27 y x z - 5/36 x y z - --- y x z + 432 + + 25 2 2 2 2 3 2 3 2 + + --- x y z + 2/27 x y z - 1/27 x y z - 7/216 z y x , + 144 + + 2 35 2 2 3 + COEFF(-2, 0, 1) = - 1/9 x z + 1/18 x z - --- x y z + 1/18 z x + 108 + + 35 2 2 3 2 3 2 2 2 35 2 2 2 + - --- z y x - 7/54 z y x - 7/54 x y z + 7/27 x y z + -- x y z + 108 54 + + 3 3 2 2 3 3 3 2 3 3 + + 5/27 y x z + 7/27 y x z + 8/27 y x z + 2/27 z y x + + 3 3 3 2 2 3 14 2 2 3 3 3 + + 2/27 z y x - 4/27 z y x + 7/27 x y z - -- x y z - 4/27 y x z + 27 + + 3 3 2 3 2 2 2 3 2 + - 1/9 x z + 2/9 x z + 5/36 x z - 5/18 x z + 5/27 y x z + + 10 3 2 2 3 3 2 3 3 3 + - -- y x z - 1/9 x z + 5/36 x z - 4/27 y x z , COEFF(-1, 0, 1) = + 27 + + 2 70 2 2 3 245 2 2 3 49 2 3 + 5/6 x z - 4/9 x z + -- x y z - 7/18 z x + --- z y x + -- z y x + 27 108 54 + + 28 2 35 2 2 175 2 2 2 35 3 3 2 49 2 3 3 + + -- x y z - -- x y z - --- x y z - -- y x z - -- y x z + 27 18 36 27 27 + + 3 2 3 16 3 14 3 3 3 2 56 2 3 + - 20/9 y x z - -- z y x - -- z y x + 10/9 z y x - -- x y z + 27 27 27 + + 2 2 3 32 3 3 3 3 2 3 2 + + 35/9 x y z + -- y x z + 7/9 x z - 5/3 x z - 10/9 x z + 27 + + 25 2 2 40 3 2 3 2 2 3 35 3 2 + + -- x z - -- y x z + 25/9 y x z + 8/9 x z - -- x z + 12 27 36 + + 28 3 3 3 2 2 2 + + -- y x z , COEFF(0, 0, 1) = - 14/9 y z - 14/9 x z + 2/3 z + 5/3 z + 27 + + 3 3 3 140 2 2 3 56 2 3 98 2 2 + - 4/3 z + 8/9 z y + 8/9 z x - --- z y x - -- z y x + -- x y z + 27 27 27 + + 245 2 2 2 80 3 3 2 112 2 3 3 112 3 2 3 32 3 3 + + --- x y z + -- y x z + --- y x z + --- y x z + -- z y x + 27 27 27 27 27 + + 56 3 2 196 2 2 3 3 3 2 3 2 3 + - -- z y x - --- x y z - 16/9 x z + 28/9 x z + 28/9 y z + 27 27 + + 3 3 2 2 140 3 2 2 3 2 2 2 + - 16/9 y z - 35/9 x z - --- y x z + 20/9 y z - 35/9 y z + 27 + + 3 2 64 3 3 3 2 + + 20/9 x z - -- y x z , COEFF(1, 0, 1) = 10/9 x z + 4/9 x z + 27 + + 70 2 2 3 140 2 2 3 56 2 3 28 2 + - -- x y z - 8/9 z x + --- z y x + -- z y x - -- x y z + 27 27 27 27 + + 70 2 2 175 2 2 2 80 3 3 2 112 2 3 3 80 3 2 3 + - -- x y z - --- x y z - -- y x z - --- y x z - -- y x z + 27 27 27 27 27 + + 16 3 32 3 3 40 3 2 56 2 3 140 2 2 3 + + -- z y x - -- z y x + -- z y x + -- x y z + --- x y z + 27 27 27 27 27 + + 32 3 3 3 3 2 3 2 2 2 + - -- y x z + 16/9 x z - 20/9 x z + 10/9 x z + 25/9 x z + 27 + + 40 3 2 100 3 2 2 3 3 2 64 3 3 3 + + -- y x z + --- y x z - 8/9 x z - 20/9 x z + -- y x z , + 27 27 27 + + 2 35 2 2 3 + COEFF(2, 0, 1) = - 1/3 x z - 1/18 x z + --- x y z + 7/18 z x + 108 + + 245 2 2 3 49 2 3 2 2 2 35 2 2 2 + - --- z y x - -- z y x + 7/54 x y z + 7/9 x y z + -- x y z + 108 54 18 + + 35 3 3 2 49 2 3 3 3 2 3 3 14 3 3 + + -- y x z + -- y x z + 8/9 y x z - 2/27 z y x + -- z y x + 27 27 27 + + 3 2 2 3 2 2 3 3 3 3 3 + - 4/9 z y x - 7/27 x y z - 14/9 x y z + 4/27 y x z - 7/9 x z + + 2 3 2 2 2 3 2 3 2 2 + + 2/3 x z - 5/36 x z - 5/6 x z - 5/27 y x z - 10/9 y x z + + 3 35 3 2 28 3 3 3 35 2 2 2 + + 1/9 x z + -- x z - -- y x z , COEFF(3, 0, 1) = - --- x y z + 36 27 108 + + 3 2 3 3 3 35 2 2 3 2 2 + - 5/36 x z - 1/18 z x - 2/27 z y x + --- z y x - 7/54 x y z + 108 + + 3 2 2 2 3 3 3 3 2 2 3 3 + + 5/27 y x z - 1/9 x z + 4/27 y x z + 1/18 x z - 7/27 y x z + + 3 3 3 3 2 2 3 2 2 3 3 2 + + 1/9 x z - 5/27 y x z + 7/54 z y x + 7/27 x y z + 2/27 z y x + + 3 2 3 2 2 25 2 2 2 3 + - 4/27 y x z + 5/36 x z , COEFF(-2, 1, 1) = --- x y z + 5/54 z y x + 108 + + 3 25 2 2 3 2 3 2 + + 1/27 z y x + --- z y x + 5/54 z y x + 1/27 x y z - 2/27 x y z + 108 + + 2 2 2 2 2 2 25 2 2 2 + + 5/54 x y z - 5/27 x y z - 5/27 x y z + 5/54 x y z - -- x y z + 54 + + 2 3 3 3 3 3 2 2 3 3 + + 4/27 x y z - 2/27 y x z - 5/27 y x z - 5/27 y x z + + 3 3 2 3 3 3 3 3 2 + - 2/27 x y z - 8/27 y x z - 2/27 z y x - 2/27 z y x + 4/27 z y x + + 2 3 10 2 2 3 3 3 3 2 10 3 2 2 + - 5/27 x y z + -- x y z + 4/27 y x z - 5/27 y x z + -- y x z + 27 27 + + 3 3 3 50 2 2 35 2 3 3 + + 4/27 y x z , COEFF(-1, 1, 1) = - -- x y z - -- z y x - 7/27 z y x + 27 54 + + 175 2 2 3 35 2 3 2 20 2 + - --- z y x - -- z y x - 8/27 x y z + 5/9 x y z - -- x y z + 108 54 27 + + 25 2 2 25 2 2 20 2 125 2 2 2 2 3 + + -- x y z + -- x y z - -- x y z + --- x y z - 10/9 x y z + 18 18 27 36 + + 14 3 3 35 3 3 2 35 2 3 3 16 3 3 2 3 + + -- y x z + -- y x z + -- y x z + -- x y z + 20/9 y x z + 27 27 27 27 + + 16 3 14 3 3 3 2 40 2 3 2 2 3 + + -- z y x + -- z y x - 10/9 z y x + -- x y z - 25/9 x y z + 27 27 27 + + 32 3 3 40 3 2 3 2 2 28 3 3 3 + - -- y x z + -- y x z - 25/9 y x z - -- y x z , COEFF(0, 1, 1) = + 27 27 27 + + 2 3 40 2 3 16 3 100 2 2 3 + 10/9 y z + 4/9 y z - 8/9 z y + -- z y x + -- z y x + --- z y x + 27 27 27 + + 40 2 3 28 2 70 2 2 70 2 2 175 2 2 2 + + -- z y x - -- x y z - -- x y z - -- x y z - --- x y z + 27 27 27 27 27 + + 56 2 3 32 3 3 80 3 3 2 80 2 3 3 112 3 2 3 + + -- x y z - -- y x z - -- y x z - -- y x z - --- y x z + 27 27 27 27 27 + + 32 3 3 56 3 2 140 2 2 3 2 3 3 3 + - -- z y x + -- z y x + --- x y z - 20/9 y z + 16/9 y z + 27 27 27 + + 3 140 3 2 2 3 2 2 2 2 + - 8/9 y z + --- y x z - 20/9 y z + 10/9 y z + 25/9 y z + 27 + + 64 3 3 3 50 2 2 40 2 3 16 3 + + -- y x z , COEFF(1, 1, 1) = -- x y z - -- z y x - -- z y x + 27 27 27 27 + + 100 2 2 3 40 2 3 20 2 20 2 + - --- z y x - -- z y x + 8/27 x y z + -- x y z + -- x y z + 27 27 27 27 + + 50 2 2 50 2 2 20 2 125 2 2 2 40 2 3 + + -- x y z + -- x y z + -- x y z + --- x y z - -- x y z + 27 27 27 27 27 + + 32 3 3 80 3 3 2 80 2 3 3 16 3 80 3 2 3 + + -- y x z + -- y x z + -- y x z - -- x y z + -- y x z + 27 27 27 27 27 + + 16 3 32 3 3 40 3 2 40 2 3 100 2 2 3 + - -- z y x + -- z y x - -- z y x - -- x y z - --- x y z + 27 27 27 27 27 + + 32 3 3 40 3 2 100 3 2 2 64 3 3 3 + + -- y x z - -- y x z - --- y x z - -- y x z , COEFF(2, 1, 1) = + 27 27 27 27 + + 25 2 2 35 2 3 3 175 2 2 3 35 2 3 + - --- x y z + -- z y x + 7/27 z y x + --- z y x + -- z y x + 108 54 108 54 + + 2 2 2 2 2 2 + - 1/27 x y z - 2/9 x y z - 5/54 x y z - 5/9 x y z - 5/9 x y z + + 2 25 2 2 2 2 3 14 3 3 35 3 3 2 + - 5/54 x y z - -- x y z + 4/9 x y z - -- y x z - -- y x z + 18 27 27 + + 35 2 3 3 3 3 2 3 3 14 3 3 + - -- y x z + 2/27 x y z - 8/9 y x z + 2/27 z y x - -- z y x + 27 27 + + 3 2 2 3 2 2 3 3 3 3 2 + + 4/9 z y x + 5/27 x y z + 10/9 x y z - 4/27 y x z + 5/27 y x z + + 3 2 2 28 3 3 3 2 3 + + 10/9 y x z + -- y x z , COEFF(3, 1, 1) = 1/27 x y z - 1/27 z y x + 27 + + 2 3 3 3 2 2 2 2 3 3 3 + + 5/27 y x z - 5/27 y x z + 5/54 x y z - 4/27 y x z + + 2 2 3 25 2 2 3 2 2 3 3 2 + - 5/27 x y z - --- z y x + 5/54 x y z + 5/27 y x z + 108 + + 3 2 3 3 3 2 3 2 3 + - 2/27 z y x + 2/27 y x z + 4/27 y x z - 5/54 z y x + + 2 3 2 3 3 3 25 2 2 2 + - 2/27 x y z - 5/54 z y x + 2/27 z y x + --- x y z , + 108 + + 2 2 2 3 3 + COEFF(-2, 2, 1) = - 5/72 x y z - 5/432 z y x - 1/216 z y x + + 2 2 3 2 3 2 2 + - 5/72 z y x - 1/36 z y x - 1/216 x y z + 1/108 x y z - 1/36 x y z + + 2 2 2 2 2 2 2 2 + + 1/18 x y z + 5/216 x y z - 5/432 x y z + 5/36 x y z + + 2 3 3 3 35 3 3 2 2 3 3 + - 1/54 x y z + 1/108 y x z + --- y x z + 1/18 y x z + 432 + + 3 3 2 3 3 3 3 + + 1/108 x y z + 7/54 y x z + 7/216 z y x + 7/216 z y x + + 3 2 2 3 2 2 3 3 3 + - 7/108 z y x + 1/18 x y z - 1/9 x y z - 7/108 y x z + + 35 3 2 35 3 2 2 3 3 3 + + --- y x z - --- y x z - 7/108 y x z , COEFF(-1, 2, 1) = + 432 216 + + 2 2 35 2 3 3 35 2 2 3 2 3 + 5/9 x y z + --- z y x + 7/216 z y x + -- z y x + 7/36 z y x + 432 72 + + 2 2 2 2 25 2 2 + + 1/27 x y z - 5/72 x y z + 2/9 x y z - 5/12 x y z - --- x y z + 144 + + 2 25 2 2 2 2 3 3 3 245 3 3 2 + + 5/54 x y z - -- x y z + 5/36 x y z - 7/108 y x z - --- y x z + 24 432 + + 2 3 3 3 35 3 2 3 3 49 3 3 + - 7/18 y x z - 2/27 x y z - -- y x z - 7/27 z y x - --- z y x + 36 216 + + 35 3 2 2 3 2 2 3 14 3 3 35 3 2 + + -- z y x - 4/9 x y z + 5/6 x y z + -- y x z - -- y x z + 72 27 54 + + 175 3 2 2 49 3 3 3 2 + + --- y x z + --- y x z , COEFF(0, 2, 1) = - 1/3 y z - 1/18 y z + 144 108 + + 3 2 3 3 2 2 3 2 3 + + 7/18 z y - 5/27 z y x - 2/27 z y x - 10/9 z y x - 4/9 z y x + + 2 2 2 35 2 2 35 2 2 2 2 3 + + 7/54 x y z + 7/9 x y z + --- x y z + -- x y z - 7/27 x y z + 108 18 + + 3 3 35 3 3 2 2 3 3 49 3 2 3 14 3 3 + + 4/27 y x z + -- y x z + 8/9 y x z + -- y x z + -- z y x + 27 27 27 + + 49 3 2 2 2 3 2 3 3 3 3 + - -- z y x - 14/9 x y z + 2/3 y z - 7/9 y z + 1/9 y z + 54 + + 245 3 2 2 35 3 2 2 2 2 28 3 3 3 + - --- y x z + -- y z - 5/36 y z - 5/6 y z - -- y x z , + 108 36 27 + + 2 2 2 3 3 2 2 3 + COEFF(1, 2, 1) = - 5/9 x y z + 5/27 z y x + 2/27 z y x + 10/9 z y x + + 2 3 2 2 2 2 + + 4/9 z y x - 1/27 x y z - 5/54 x y z - 2/9 x y z - 5/9 x y z + + 25 2 2 2 25 2 2 2 2 3 3 3 + - --- x y z - 5/54 x y z - -- x y z + 5/27 x y z - 4/27 y x z + 108 18 + + 35 3 3 2 2 3 3 3 35 3 2 3 3 + - -- y x z - 8/9 y x z + 2/27 x y z - -- y x z + 7/27 z y x + 27 27 + + 14 3 3 35 3 2 2 3 2 2 3 14 3 3 + - -- z y x + -- z y x + 4/9 x y z + 10/9 x y z - -- y x z + 27 54 27 + + 35 3 2 175 3 2 2 28 3 3 3 2 2 + + -- y x z + --- y x z + -- y x z , COEFF(2, 2, 1) = 5/72 x y z + 54 108 27 + + 35 2 3 3 35 2 2 3 2 3 + - --- z y x - 7/216 z y x - -- z y x - 7/36 z y x + 1/216 x y z + 432 72 + + 2 2 2 2 2 2 2 + + 1/36 x y z + 1/36 x y z + 1/6 x y z + 5/72 x y z + 5/432 x y z + + 2 2 2 2 3 3 3 245 3 3 2 + + 5/12 x y z - 1/18 x y z + 7/108 y x z + --- y x z + 432 + + 2 3 3 3 3 2 3 3 + + 7/18 y x z - 1/108 x y z + 7/18 y x z - 7/216 z y x + + 49 3 3 3 2 2 3 2 2 3 3 3 + + --- z y x - 7/36 z y x - 1/18 x y z - 1/3 x y z + 7/108 y x z + 216 + + 35 3 2 35 3 2 2 49 3 3 3 + - --- y x z - -- y x z - --- y x z , COEFF(3, 2, 1) = + 432 72 108 + + 3 3 2 3 3 2 2 3 + - 7/216 z y x + 1/108 x y z + 7/216 z y x + 1/36 z y x + + 2 3 3 3 2 3 3 35 3 2 2 + - 1/18 y x z - 7/108 y x z + 1/216 z y x + --- y x z + 432 + + 2 2 3 2 2 2 2 2 3 3 3 + + 5/72 z y x - 5/72 x y z - 5/432 x y z + 7/108 y x z + + 2 3 2 35 3 3 2 2 2 + + 5/432 z y x - 1/216 x y z - --- y x z - 1/36 x y z + 432 + + 2 2 3 3 3 3 3 + + 1/18 x y z - 1/108 y x z , COEFF(-2, 3, 1) = - 1/216 z y x + + 3 2 2 3 2 3 2 + - 5/432 y x z + 1/216 z y x + 1/216 x y z + 1/108 z y x + + 2 2 3 2 2 3 3 3 2 2 3 + + 1/54 x y z + 5/432 z y x - 5/432 y x z - 1/108 x y z + + 3 2 2 2 3 3 3 2 3 3 + + 5/216 y x z - 1/108 y x z - 1/54 y x z - 1/216 z y x + + 2 2 2 2 3 3 3 3 3 + + 5/432 x y z - 1/108 x y z + 1/108 y x z + 1/108 y x z + + 2 2 2 3 2 + - 5/216 x y z , COEFF(-1, 3, 1) = 1/27 z y x - 1/27 x y z + + 2 2 25 2 2 2 2 3 35 3 3 2 3 2 + - 5/54 x y z + --- x y z + 2/27 x y z + --- y x z - 5/72 z y x + 144 432 + + 3 2 3 3 2 3 2 2 + + 5/54 y x z - 2/27 y x z - 7/216 z y x + 5/72 x y z + + 2 3 3 25 3 2 2 3 2 3 3 3 + + 7/108 y x z - --- y x z + 5/36 y x z + 7/216 z y x + 144 + + 2 2 3 3 3 3 35 2 2 3 + - 5/36 x y z - 7/108 y x z - --- z y x , COEFF(0, 3, 1) = + 432 + + 3 2 3 3 2 3 2 3 3 2 2 + - 5/36 y z - 5/27 y x z + 7/54 z y x + 1/9 y z - 7/54 x y z + + 2 2 3 2 3 2 35 3 2 2 2 3 + + 5/36 y z - 7/27 y x z + 1/18 y z + --- y x z - 1/9 y z + 108 + + 2 3 3 2 3 3 3 3 2 2 3 + - 4/27 y x z + 2/27 z y x - 1/18 z y - 2/27 z y x + 7/27 x y z + + 35 2 2 2 3 3 3 2 2 3 + - --- x y z + 4/27 y x z + 5/27 z y x , COEFF(1, 3, 1) = + 108 + + 25 3 2 2 2 3 3 3 3 2 3 2 + - --- y x z + 4/27 y x z + 5/27 y x z - 5/54 y x z + 108 + + 2 2 3 3 3 3 3 2 3 2 2 + - 5/27 x y z - 4/27 y x z + 5/27 y x z + 5/54 x y z + + 2 3 2 2 3 2 2 3 3 + - 2/27 x y z + 1/27 x y z - 2/27 z y x + 5/54 x y z + 2/27 z y x + + 3 3 25 2 2 2 2 2 3 3 3 2 + + 2/27 y x z + --- x y z - 5/27 z y x - 1/27 z y x - 5/54 z y x + 108 + + 2 3 2 2 2 2 + , COEFF(2, 3, 1) = 7/216 z y x - 5/72 x y z - 1/216 x y z + + 3 3 3 2 2 3 3 3 3 3 + - 7/216 z y x + 1/36 z y x - 7/108 y x z + 7/108 y x z + + 2 2 2 3 35 2 2 3 3 2 + - 1/36 x y z + 1/108 x y z + --- z y x + 5/432 y x z + 432 + + 3 3 3 2 2 3 35 3 3 2 + - 1/108 y x z + 1/216 z y x + 1/18 x y z - --- y x z + 432 + + 3 2 3 2 2 3 2 2 + - 1/18 y x z - 5/432 x y z + 5/72 y x z , COEFF(3, 3, 1) = + + 2 2 2 2 3 3 3 3 2 3 3 + 1/216 x y z - 5/432 z y x - 1/108 y x z + 1/108 y x z + + 3 3 3 2 3 2 2 2 2 2 3 + + 1/216 z y x + 1/108 y x z + 5/432 x y z - 1/108 x y z + + 3 2 2 3 3 3 2 3 2 2 + - 1/216 z y x - 1/216 z y x + 5/432 y x z - 5/432 y x z , + + 2 2 2 3 3 + COEFF(-2, -2, 2) = 1/144 x y z - 1/288 z y x - 1/1728 z y x + + 2 2 3 2 3 2 + + 1/144 z y x + 1/864 z y x - 1/1728 x y z + 1/864 x y z + + 2 2 2 2 2 2 + + 1/864 x y z - 1/432 x y z + 1/144 x y z - 1/288 x y z + + 2 2 2 2 3 3 3 3 3 2 + - 1/72 x y z - 7/864 x y z + 7/1728 y x z - 1/288 y x z + + 2 3 3 3 3 2 3 3 + - 7/864 y x z + 7/1728 x y z - 7/864 y x z - 1/1728 z y x + + 3 3 3 2 2 3 2 2 3 + - 1/1728 z y x + 1/864 z y x - 7/864 x y z + 7/432 x y z + + 3 3 3 2 3 2 2 3 3 3 + + 7/1728 y x z - 1/288 y x z + 1/144 y x z + 7/1728 y x z , + + 2 2 2 3 3 + COEFF(-1, -2, 2) = - 1/18 x y z + 7/288 z y x + 7/1728 z y x + + 2 2 3 2 3 2 + - 7/144 z y x - 7/864 z y x + 1/216 x y z - 5/576 x y z + + 2 2 2 2 2 2 + - 1/108 x y z + 5/288 x y z - 5/96 x y z + 1/36 x y z + + 2 2 2 35 2 3 49 3 3 3 3 2 + + 5/48 x y z + --- x y z - ---- y x z + 7/288 y x z + 576 1728 + + 49 2 3 3 3 35 3 2 3 3 + + --- y x z - 7/216 x y z + --- y x z + 1/216 z y x + 864 576 + + 3 3 3 2 2 3 35 2 2 3 + + 7/1728 z y x - 5/576 z y x + 7/108 x y z - --- x y z + 288 + + 3 3 3 2 3 2 2 49 3 3 3 + - 7/216 y x z + 1/36 y x z - 5/96 y x z - ---- y x z , + 1728 + + 2 3 2 3 + COEFF(0, -2, 2) = 1/72 y z - 1/144 y z - 1/144 z y - 1/18 z y x + + 3 2 2 3 2 3 2 + - 1/108 z y x + 1/9 z y x + 1/54 z y x + 7/432 x y z + + 2 2 2 2 2 2 2 49 2 3 + - 7/216 x y z + 7/72 x y z - 7/36 x y z - --- x y z + 432 + + 3 3 3 3 2 2 3 3 49 3 2 3 + + 7/108 y x z - 1/18 y x z - 7/54 y x z - --- y x z + 432 + + 3 3 3 2 49 2 2 3 2 3 3 3 + - 1/108 z y x + 7/432 z y x + --- x y z - 7/72 y z + 7/144 y z + 216 + + 3 3 2 2 3 2 2 2 2 + + 7/144 y z + 7/72 y x z - 1/24 y z - 1/24 y z + 1/12 y z + + 3 3 3 2 2 2 3 + + 7/108 y x z , COEFF(1, -2, 2) = 1/18 x y z + 1/18 z y x + + 3 2 2 3 2 3 2 + + 1/108 z y x - 1/9 z y x - 1/54 z y x - 1/216 x y z - 5/432 x y z + + 2 2 2 2 2 2 + + 1/108 x y z + 5/216 x y z - 5/72 x y z - 1/36 x y z + + 2 2 2 35 2 3 3 3 3 3 2 + + 5/36 x y z + --- x y z - 7/108 y x z + 1/18 y x z + 432 + + 2 3 3 3 35 3 2 3 3 + + 7/54 y x z + 7/216 x y z + --- y x z - 1/216 z y x + 432 + + 3 3 3 2 2 3 35 2 2 3 + + 1/108 z y x - 5/432 z y x - 7/108 x y z - --- x y z + 216 + + 3 3 3 2 3 2 2 3 3 3 + + 7/216 y x z - 1/36 y x z - 5/72 y x z - 7/108 y x z , + + 2 2 2 3 3 + COEFF(2, -2, 2) = - 1/144 x y z - 7/288 z y x - 7/1728 z y x + + 2 2 3 2 3 2 + + 7/144 z y x + 7/864 z y x + 1/1728 x y z + 1/288 x y z + + 2 2 2 2 2 2 + - 1/864 x y z - 1/144 x y z + 1/48 x y z + 1/288 x y z + + 2 2 2 2 3 49 3 3 3 3 2 + - 1/24 x y z - 7/288 x y z + ---- y x z - 7/288 y x z + 1728 + + 49 2 3 3 3 3 2 3 3 + - --- y x z - 7/1728 x y z - 7/288 y x z + 1/1728 z y x + 864 + + 3 3 3 2 2 3 2 2 3 + - 7/1728 z y x + 1/288 z y x + 7/864 x y z + 7/144 x y z + + 3 3 3 2 3 2 2 49 3 3 3 + - 7/1728 y x z + 1/288 y x z + 1/48 y x z + ---- y x z , + 1728 + + 2 2 2 3 3 3 + COEFF(3, -2, 2) = - 1/288 x y z - 1/1728 x y z - 7/1728 y x z + + 2 3 2 3 3 3 2 3 3 2 2 + + 7/1728 x y z + 7/864 y x z + 7/1728 y x z - 1/288 y x z + + 3 2 2 3 3 3 3 3 + + 1/1728 z y x - 1/144 z y x - 7/1728 y x z + 1/1728 z y x + + 2 3 3 3 2 2 3 2 2 2 + + 1/288 z y x + 1/288 y x z - 1/864 z y x + 1/144 x y z + + 3 2 2 2 2 2 3 + - 1/1728 z y x + 1/864 x y z - 7/864 x y z , COEFF(-2, -1, 2) = + + 2 2 2 3 3 2 2 3 + - 5/96 x y z + 1/36 z y x + 1/216 z y x - 5/96 z y x + + 2 3 2 2 + - 5/576 z y x + 1/216 x y z - 1/108 x y z - 5/576 x y z + + 2 2 2 2 2 2 2 2 + + 5/288 x y z - 1/18 x y z + 1/36 x y z + 5/48 x y z + + 2 3 3 3 3 3 2 35 2 3 3 + + 7/108 x y z - 7/216 y x z + 7/288 y x z + --- y x z + 576 + + 3 49 3 2 3 3 3 3 + - 7/216 x y z + --- y x z + 7/1728 z y x + 7/1728 z y x + 864 + + 3 2 35 2 3 35 2 2 3 49 3 3 + - 7/864 z y x + --- x y z - --- x y z - ---- y x z + 576 288 1728 + + 3 2 3 2 2 49 3 3 3 + + 7/288 y x z - 7/144 y x z - ---- y x z , COEFF(-1, -1, 2) = + 1728 + + 2 2 2 3 3 35 2 2 3 35 2 3 + 5/12 x y z - 7/36 z y x - 7/216 z y x + -- z y x + --- z y x + 96 576 + + 2 2 25 2 2 2 2 + - 1/27 x y z + 5/72 x y z + 5/72 x y z - --- x y z + 5/12 x y z + 192 + + 2 25 2 2 2 35 2 3 49 3 3 49 3 3 2 + - 2/9 x y z - -- x y z - -- x y z + --- y x z - --- y x z + 32 72 216 288 + + 245 2 3 3 3 245 3 2 3 3 49 3 3 + - --- y x z + 7/27 x y z - --- y x z - 7/216 z y x - ---- z y x + 576 576 1728 + + 35 3 2 35 2 3 175 2 2 3 49 3 3 3 2 + + --- z y x - -- x y z + --- x y z + --- y x z - 7/36 y x z + 576 72 192 216 + + 35 3 2 2 343 3 3 3 2 + + -- y x z + ---- y x z , COEFF(0, -1, 2) = - 5/48 y z + 1/18 y z + 96 1728 + + 3 2 3 3 2 2 3 2 3 + + 7/144 z y + 4/9 z y x + 2/27 z y x - 5/6 z y x - 5/36 z y x + + 2 35 2 2 2 2 35 2 2 2 49 2 3 + - 7/54 x y z + --- x y z - 7/9 x y z + -- x y z + -- x y z + 144 24 54 + + 14 3 3 3 3 2 35 2 3 3 343 3 2 3 3 3 + - -- y x z + 7/18 y x z + -- y x z + --- y x z + 7/108 z y x + 27 36 432 + + 49 3 2 245 2 2 3 35 2 3 49 3 3 3 + - --- z y x - --- x y z + -- y z - --- y z - 7/18 y z + 432 144 48 144 + + 49 3 2 2 3 2 2 2 2 49 3 3 3 + - -- y x z + 7/24 y z + 1/3 y z - 5/8 y z - --- y x z , + 72 108 + + 2 2 2 3 3 2 2 3 + COEFF(1, -1, 2) = - 5/12 x y z - 4/9 z y x - 2/27 z y x + 5/6 z y x + + 2 3 2 2 25 2 2 + + 5/36 z y x + 1/27 x y z + 5/54 x y z - 5/72 x y z - --- x y z + 144 + + 2 2 2 25 2 2 2 35 2 3 14 3 3 + + 5/9 x y z + 2/9 x y z - -- x y z - -- x y z + -- y x z + 24 54 27 + + 3 3 2 35 2 3 3 3 245 3 2 3 3 + - 7/18 y x z - -- y x z - 7/27 x y z - --- y x z + 7/216 z y x + 36 432 + + 3 3 35 3 2 35 2 3 175 2 2 3 49 3 3 + - 7/108 z y x + --- z y x + -- x y z + --- x y z - --- y x z + 432 72 144 216 + + 3 2 35 3 2 2 49 3 3 3 + + 7/36 y x z + -- y x z + --- y x z , COEFF(2, -1, 2) = + 72 108 + + 2 2 2 3 3 35 2 2 3 35 2 3 + 5/96 x y z + 7/36 z y x + 7/216 z y x - -- z y x - --- z y x + 96 576 + + 2 2 2 2 2 2 + - 1/216 x y z - 1/36 x y z + 5/576 x y z + 5/96 x y z - 1/6 x y z + + 2 2 2 2 2 3 49 3 3 49 3 3 2 + - 1/36 x y z + 5/16 x y z + 7/36 x y z - --- y x z + --- y x z + 216 288 + + 245 2 3 3 3 49 3 2 3 3 + + --- y x z + 7/216 x y z + --- y x z - 7/1728 z y x + 576 288 + + 49 3 3 3 2 35 2 3 35 2 2 3 49 3 3 + + ---- z y x - 7/288 z y x - --- x y z - -- x y z + ---- y x z + 1728 576 96 1728 + + 3 2 3 2 2 343 3 3 3 + - 7/288 y x z - 7/48 y x z - ---- y x z , COEFF(3, -1, 2) = + 1728 + + 3 3 35 2 3 3 3 49 3 2 3 + - 7/1728 z y x - --- y x z - 1/216 z y x - ---- y x z + 576 1728 + + 2 2 3 3 2 2 2 2 2 3 + + 5/96 z y x + 7/288 y x z + 1/36 x y z - 7/216 x y z + + 2 3 3 2 2 3 3 3 + + 1/216 x y z - 7/288 y x z + 5/576 z y x + 7/216 y x z + + 2 3 35 2 2 3 2 2 2 3 2 + - 1/36 z y x + --- x y z - 5/96 x y z + 7/1728 z y x + 576 + + 2 2 49 3 3 3 2 + - 5/576 x y z + ---- y x z , COEFF(-2, 0, 2) = 1/72 x z - 1/144 x z + 1728 + + 2 2 3 2 2 3 2 3 2 + + 7/72 x y z - 1/144 z x + 7/72 z y x + 7/432 z y x + 7/432 x y z + + 2 2 2 2 2 3 3 2 49 2 3 3 + - 7/216 x y z - 7/36 x y z - 1/18 y x z - --- y x z + 432 + + 3 2 3 3 3 3 3 2 + - 7/54 y x z - 1/108 z y x - 1/108 z y x + 1/54 z y x + + 49 2 3 49 2 2 3 3 3 3 3 2 3 + - --- x y z + --- x y z + 7/108 y x z + 7/144 x z - 7/72 x z + 432 216 + + 2 2 2 3 2 3 2 2 3 + - 1/24 x z + 1/12 x z - 1/18 y x z + 1/9 y x z + 7/144 x z + + 3 2 3 3 3 2 + - 1/24 x z + 7/108 y x z , COEFF(-1, 0, 2) = - 5/48 x z + 1/18 x z + + 2 2 3 49 2 2 3 49 2 3 2 + - 7/9 x y z + 7/144 z x - -- z y x - --- z y x - 7/54 x y z + 72 432 + + 35 2 2 35 2 2 2 3 3 2 343 2 3 3 35 3 2 3 + + --- x y z + -- x y z + 7/18 y x z + --- y x z + -- y x z + 144 24 432 36 + + 3 3 3 3 2 49 2 3 245 2 2 3 + + 2/27 z y x + 7/108 z y x - 5/36 z y x + -- x y z - --- x y z + 54 144 + + 14 3 3 49 3 3 35 2 3 2 2 2 3 2 + - -- y x z - --- x z + -- x z + 1/3 x z - 5/8 x z + 4/9 y x z + 27 144 48 + + 3 2 2 3 3 2 49 3 3 3 + - 5/6 y x z - 7/18 x z + 7/24 x z - --- y x z , COEFF(0, 0, 2) = + 108 + + 2 2 2 3 3 3 + 7/36 y z + 7/36 x z - 1/12 z - 1/2 z + 7/12 z - 1/9 z y - 1/9 z x + + 2 2 3 2 3 49 2 2 49 2 2 2 3 3 2 + + 14/9 z y x + 7/27 z y x - --- x y z - -- x y z - 8/9 y x z + 108 18 + + 49 2 3 3 49 3 2 3 3 3 3 2 343 2 2 3 + - -- y x z - -- y x z - 4/27 z y x + 7/27 z y x + --- x y z + 27 27 108 + + 3 3 49 2 3 49 2 3 3 3 2 2 3 2 2 + + 7/9 x z - -- x z - -- y z + 7/9 y z + 7/6 x z + 14/9 y x z + 36 36 + + 3 2 2 2 3 2 28 3 3 3 + - 2/3 y z + 7/6 y z - 2/3 x z + -- y x z , COEFF(1, 0, 2) = + 27 + + 2 2 2 3 2 2 3 + - 5/36 x z - 1/18 x z + 7/9 x y z + 1/9 z x - 14/9 z y x + + 2 3 2 35 2 2 35 2 2 2 3 3 2 + - 7/27 z y x + 7/54 x y z + --- x y z + -- x y z + 8/9 y x z + 108 18 + + 49 2 3 3 35 3 2 3 3 3 3 3 2 + + -- y x z + -- y x z - 2/27 z y x + 4/27 z y x - 5/27 z y x + 27 27 + + 49 2 3 245 2 2 3 14 3 3 3 3 35 2 3 2 + - -- x y z - --- x y z + -- y x z - 7/9 x z + -- x z - 1/3 x z + 54 108 27 36 + + 2 2 3 2 3 2 2 3 3 2 + - 5/6 x z - 4/9 y x z - 10/9 y x z + 7/18 x z + 2/3 x z + + 28 3 3 3 2 2 2 + - -- y x z , COEFF(2, 0, 2) = 1/24 x z + 1/144 x z - 7/72 x y z + 27 + + 3 49 2 2 3 49 2 3 2 2 2 + - 7/144 z x + -- z y x + --- z y x - 7/432 x y z - 7/72 x y z + 72 432 + + 2 2 2 3 3 2 343 2 3 3 3 2 3 + - 7/12 x y z - 7/18 y x z - --- y x z - 7/18 y x z + 432 + + 3 3 3 3 2 49 2 3 49 2 2 3 + + 1/108 z y x - 7/108 z y x + 1/18 z y x + --- x y z + -- x y z + 432 72 + + 3 3 49 3 3 2 3 2 2 2 + - 7/108 y x z + --- x z - 7/24 x z + 1/24 x z + 1/4 x z + 144 + + 3 2 3 2 2 3 3 2 49 3 3 3 + + 1/18 y x z + 1/3 y x z - 7/144 x z - 7/24 x z + --- y x z , + 108 + + 49 2 3 3 2 2 2 3 3 3 + COEFF(3, 0, 2) = --- y x z + 7/72 x y z - 7/108 y x z + 432 + + 3 3 3 2 3 2 2 3 3 2 + + 1/108 z y x + 7/108 y x z + 7/432 x y z + 1/18 y x z + + 49 2 2 3 2 3 3 3 2 2 3 + - --- x y z - 7/432 z y x - 7/144 x z - 7/72 z y x + 432 + + 3 2 2 2 2 3 2 3 + - 1/108 z y x - 1/24 x z - 1/144 x z + 1/144 z x + 7/144 x z + + 3 2 2 3 2 2 2 + - 1/18 y x z + 1/24 x z , COEFF(-2, 1, 2) = - 5/72 x y z + + 2 3 3 2 2 3 2 3 + - 1/36 z y x - 1/216 z y x - 5/72 z y x - 5/432 z y x + + 2 2 2 2 2 2 + - 1/216 x y z + 1/108 x y z - 5/432 x y z + 5/216 x y z + 1/18 x y z + + 2 2 2 2 2 3 3 3 + - 1/36 x y z + 5/36 x y z - 7/108 x y z + 7/216 y x z + + 3 3 2 35 2 3 3 3 3 2 3 + + 1/18 y x z + --- y x z + 7/216 x y z + 7/54 y x z + 432 + + 3 3 3 3 2 35 2 3 35 2 2 3 + + 1/108 z y x + 1/108 z y x - 1/54 z y x + --- x y z - --- x y z + 432 216 + + 3 3 3 2 3 2 2 3 3 3 + - 7/108 y x z + 1/18 y x z - 1/9 y x z - 7/108 y x z , + + 2 2 2 3 3 35 2 2 3 + COEFF(-1, 1, 2) = 5/9 x y z + 7/36 z y x + 7/216 z y x + -- z y x + 72 + + 35 2 3 2 2 25 2 2 + + --- z y x + 1/27 x y z - 5/72 x y z + 5/54 x y z - --- x y z + 432 144 + + 2 2 2 25 2 2 2 35 2 3 49 3 3 + - 5/12 x y z + 2/9 x y z - -- x y z + -- x y z - --- y x z + 24 72 216 + + 3 3 2 245 2 3 3 3 35 3 2 3 3 + - 7/18 y x z - --- y x z - 7/27 x y z - -- y x z - 2/27 z y x + 432 36 + + 3 3 3 2 35 2 3 175 2 2 3 14 3 3 + - 7/108 z y x + 5/36 z y x - -- x y z + --- x y z + -- y x z + 54 144 27 + + 3 2 3 2 2 49 3 3 3 2 + - 4/9 y x z + 5/6 y x z + --- y x z , COEFF(0, 1, 2) = - 5/36 y z + 108 + + 3 2 3 3 2 2 3 + - 1/18 y z + 1/9 z y - 4/9 z y x - 2/27 z y x - 10/9 z y x + + 2 3 2 35 2 2 2 2 35 2 2 2 + - 5/27 z y x + 7/54 x y z + --- x y z + 7/9 x y z + -- x y z + 108 18 + + 49 2 3 14 3 3 3 3 2 35 2 3 3 49 3 2 3 + - -- x y z + -- y x z + 8/9 y x z + -- y x z + -- y x z + 54 27 27 27 + + 3 3 3 2 245 2 2 3 35 2 3 3 3 + + 4/27 z y x - 7/27 z y x - --- x y z + -- y z - 7/9 y z + 108 36 + + 3 3 2 2 3 2 2 2 2 + + 7/18 y z - 14/9 y x z + 2/3 y z - 1/3 y z - 5/6 y z + + 28 3 3 3 2 2 2 3 3 + - -- y x z , COEFF(1, 1, 2) = - 5/9 x y z + 4/9 z y x + 2/27 z y x + 27 + + 2 2 3 2 3 2 2 + + 10/9 z y x + 5/27 z y x - 1/27 x y z - 5/54 x y z - 5/54 x y z + + 25 2 2 2 2 2 25 2 2 2 35 2 3 + - --- x y z - 5/9 x y z - 2/9 x y z - -- x y z + -- x y z + 108 18 54 + + 14 3 3 3 3 2 35 2 3 3 3 35 3 2 3 + - -- y x z - 8/9 y x z - -- y x z + 7/27 x y z - -- y x z + 27 27 27 + + 3 3 3 3 2 35 2 3 175 2 2 3 + + 2/27 z y x - 4/27 z y x + 5/27 z y x + -- x y z + --- x y z + 54 108 + + 14 3 3 3 2 3 2 2 28 3 3 3 + - -- y x z + 4/9 y x z + 10/9 y x z + -- y x z , COEFF(2, 1, 2) + 27 27 + + 2 2 2 3 3 35 2 2 3 35 2 3 + = 5/72 x y z - 7/36 z y x - 7/216 z y x - -- z y x - --- z y x + 72 432 + + 2 2 2 2 2 2 + + 1/216 x y z + 1/36 x y z + 5/432 x y z + 5/72 x y z + 1/6 x y z + + 2 2 2 2 2 3 49 3 3 3 3 2 + + 1/36 x y z + 5/12 x y z - 7/36 x y z + --- y x z + 7/18 y x z + 216 + + 245 2 3 3 3 3 2 3 3 + + --- y x z - 7/216 x y z + 7/18 y x z - 1/108 z y x + 432 + + 3 3 3 2 35 2 3 35 2 2 3 3 3 + + 7/108 z y x - 1/18 z y x - --- x y z - -- x y z + 7/108 y x z + 432 72 + + 3 2 3 2 2 49 3 3 3 + - 1/18 y x z - 1/3 y x z - --- y x z , COEFF(3, 1, 2) = + 108 + + 2 3 2 3 2 2 3 3 3 + 1/36 z y x - 1/216 x y z + 1/216 z y x - 1/36 x y z + 7/108 y x z + + 3 3 2 2 3 3 2 2 35 2 3 3 + - 1/108 z y x + 5/72 z y x + 1/18 y x z - --- y x z + 432 + + 2 3 2 3 3 2 35 2 2 3 + + 5/432 z y x + 7/216 x y z + 1/108 z y x + --- x y z + 432 + + 3 3 2 2 3 2 3 2 2 2 + - 7/216 y x z - 5/432 x y z - 7/108 y x z - 5/72 x y z + + 3 3 2 2 2 2 3 + - 1/18 y x z , COEFF(-2, 2, 2) = 1/48 x y z + 1/288 z y x + + 3 2 2 3 2 3 + + 1/1728 z y x + 1/48 z y x + 1/288 z y x + 1/1728 x y z + + 2 2 2 2 2 2 + - 1/864 x y z + 1/288 x y z - 1/144 x y z - 1/144 x y z + + 2 2 2 2 2 3 3 3 + + 1/288 x y z - 1/24 x y z + 7/864 x y z - 7/1728 y x z + + 3 3 2 2 3 3 3 49 3 2 3 + - 7/288 y x z - 7/288 y x z - 7/1728 x y z - --- y x z + 864 + + 3 3 3 3 2 2 3 + - 7/1728 z y x - 7/1728 z y x + 7/864 z y x - 7/288 x y z + + 2 2 3 49 3 3 3 2 3 2 2 + + 7/144 x y z + ---- y x z - 7/288 y x z + 7/144 y x z + 1728 + + 49 3 3 3 2 2 2 3 + + ---- y x z , COEFF(-1, 2, 2) = - 1/6 x y z - 7/288 z y x + 1728 + + 3 2 2 3 2 3 + - 7/1728 z y x - 7/48 z y x - 7/288 z y x - 1/216 x y z + + 2 2 2 2 2 2 2 + + 5/576 x y z - 1/36 x y z + 5/96 x y z + 5/96 x y z - 1/36 x y z + + 2 2 2 35 2 3 49 3 3 49 3 3 2 49 2 3 3 + + 5/16 x y z - --- x y z + ---- y x z + --- y x z + --- y x z + 576 1728 288 288 + + 3 245 3 2 3 3 49 3 3 35 3 2 + + 7/216 x y z + --- y x z + 7/216 z y x + ---- z y x - --- z y x + 576 1728 576 + + 2 3 35 2 2 3 49 3 3 3 2 35 3 2 2 + + 7/36 x y z - -- x y z - --- y x z + 7/36 y x z - -- y x z + 96 216 96 + + 343 3 3 3 2 3 + - ---- y x z , COEFF(0, 2, 2) = 1/24 y z + 1/144 y z - 7/144 z y + 1728 + + 2 3 3 2 2 3 2 3 2 + + 1/18 z y x + 1/108 z y x + 1/3 z y x + 1/18 z y x - 7/432 x y z + + 2 2 2 2 2 2 2 49 2 3 + - 7/72 x y z - 7/72 x y z - 7/12 x y z + --- x y z + 432 + + 3 3 3 3 2 2 3 3 343 3 2 3 + - 7/108 y x z - 7/18 y x z - 7/18 y x z - --- y x z + 432 + + 3 3 49 3 2 49 2 2 3 2 3 49 3 3 + - 7/108 z y x + --- z y x + -- x y z - 7/24 y z + --- y z + 432 72 144 + + 3 49 3 2 2 3 2 2 2 2 + - 7/144 y z + -- y x z - 7/24 y z + 1/24 y z + 1/4 y z + 72 + + 49 3 3 3 2 2 2 3 3 + + --- y x z , COEFF(1, 2, 2) = 1/6 x y z - 1/18 z y x - 1/108 z y x + 108 + + 2 2 3 2 3 2 2 + - 1/3 z y x - 1/18 z y x + 1/216 x y z + 5/432 x y z + 1/36 x y z + + 2 2 2 2 2 2 2 2 35 2 3 + + 5/72 x y z + 5/72 x y z + 1/36 x y z + 5/12 x y z - --- x y z + 432 + + 3 3 3 3 2 2 3 3 3 + + 7/108 y x z + 7/18 y x z + 7/18 y x z - 7/216 x y z + + 245 3 2 3 3 3 3 35 3 2 2 3 + + --- y x z - 7/216 z y x + 7/108 z y x - --- z y x - 7/36 x y z + 432 432 + + 35 2 2 3 49 3 3 3 2 35 3 2 2 49 3 3 3 + - -- x y z + --- y x z - 7/36 y x z - -- y x z - --- y x z , + 72 216 72 108 + + 2 2 2 3 3 + COEFF(2, 2, 2) = - 1/48 x y z + 7/288 z y x + 7/1728 z y x + + 2 2 3 2 3 2 + + 7/48 z y x + 7/288 z y x - 1/1728 x y z - 1/288 x y z + + 2 2 2 2 2 2 2 2 2 + - 1/288 x y z - 1/48 x y z - 1/48 x y z - 1/288 x y z - 1/8 x y z + + 2 3 49 3 3 49 3 3 2 49 2 3 3 + + 7/288 x y z - ---- y x z - --- y x z - --- y x z + 1728 288 288 + + 3 49 3 2 3 3 49 3 3 + + 7/1728 x y z - --- y x z + 7/1728 z y x - ---- z y x + 288 1728 + + 3 2 2 3 2 2 3 49 3 3 + + 7/288 z y x + 7/288 x y z + 7/48 x y z - ---- y x z + 1728 + + 3 2 3 2 2 343 3 3 3 + + 7/288 y x z + 7/48 y x z + ---- y x z , COEFF(3, 2, 2) = + 1728 + + 3 3 2 3 2 2 2 2 49 3 2 3 + 7/288 y x z - 7/288 y x z + 1/288 x y z + ---- y x z + 1728 + + 2 3 3 2 3 2 3 + + 7/288 y x z + 1/1728 x y z - 1/1728 z y x - 7/1728 x y z + + 49 3 3 3 2 3 2 3 2 2 3 + - ---- y x z - 1/288 z y x - 1/288 z y x - 7/288 x y z + 1728 + + 3 3 3 3 2 2 2 2 2 + + 7/1728 y x z + 7/1728 z y x + 1/288 x y z + 1/48 x y z + + 3 2 2 2 3 2 + - 7/1728 z y x - 1/48 z y x , COEFF(-2, 3, 2) = - 1/1728 x y z + + 2 3 3 2 3 3 3 2 + + 7/1728 x y z + 1/288 y x z + 1/1728 z y x + 1/288 y x z + + 2 2 2 3 3 2 2 3 2 2 3 + + 1/144 x y z - 7/1728 y x z - 1/288 z y x - 7/864 x y z + + 2 2 3 2 2 3 2 2 3 3 + + 1/864 x y z - 1/144 y x z - 1/864 z y x + 7/1728 y x z + + 3 2 3 2 2 3 3 3 3 3 + + 7/864 y x z - 1/288 x y z + 1/1728 z y x - 7/1728 y x z + + 2 3 2 2 3 + - 1/1728 z y x , COEFF(-1, 3, 2) = 1/36 x y z - 1/216 z y x + + 2 3 2 3 3 2 2 3 + + 1/216 x y z - 1/36 y x z + 7/216 y x z + 7/288 z y x + + 2 3 2 2 35 2 2 3 3 2 + - 7/216 x y z - 5/576 x y z + --- x y z + 5/576 z y x + 576 + + 3 2 2 35 3 2 3 49 2 3 3 3 3 + + 5/96 y x z - --- y x z - ---- y x z - 7/1728 z y x + 576 1728 + + 49 3 3 3 2 3 2 2 2 3 3 2 + + ---- y x z + 7/1728 z y x - 5/96 x y z - 7/288 y x z , + 1728 + + 2 3 3 3 3 2 2 2 + COEFF(0, 3, 2) = 7/108 y x z - 7/144 y z + 7/72 x y z + + 49 2 2 3 3 2 2 3 3 2 3 + - --- x y z - 7/72 y x z + 1/18 y x z + 1/144 z y + 432 + + 2 2 3 3 2 3 3 2 2 3 + - 1/18 z y x + 1/24 y z + 1/108 z y x - 1/144 y z - 1/108 z y x + + 2 2 3 2 2 2 49 3 2 3 + - 1/24 y z - 7/432 z y x + 7/432 x y z + --- y x z + 432 + + 3 3 3 2 3 2 2 + - 7/108 y x z + 7/144 y z , COEFF(1, 3, 2) = - 5/432 x y z + + 3 3 2 3 2 2 3 3 3 + - 1/18 y x z + 5/432 z y x + 1/108 z y x - 1/108 z y x + + 3 2 3 3 2 2 35 3 2 3 + + 1/216 z y x - 7/108 y x z - 1/36 x y z - --- y x z + 432 + + 3 2 2 2 3 35 2 2 3 3 3 + + 5/72 y x z + 7/216 x y z + --- x y z - 7/216 y x z + 432 + + 2 2 3 3 2 2 2 2 2 + + 1/18 z y x + 1/36 y x z - 5/72 x y z - 1/216 x y z + + 3 3 3 2 2 2 2 2 3 + + 7/108 y x z , COEFF(2, 3, 2) = 1/48 x y z - 7/288 z y x + + 2 2 3 2 2 3 + + 1/288 x y z - 1/288 z y x + 1/1728 x y z - 1/1728 z y x + + 2 3 2 2 3 3 49 3 3 3 + - 7/1728 z y x + 1/288 x y z + 7/1728 z y x - ---- y x z + 1728 + + 3 2 3 3 2 49 2 3 3 3 3 2 + + 7/288 y x z - 1/288 y x z + ---- y x z + 7/288 y x z + 1728 + + 2 3 3 2 2 3 3 2 2 3 + - 7/1728 x y z - 1/48 y x z + 7/1728 y x z - 7/288 x y z , + + 2 2 3 2 3 2 2 3 + COEFF(3, 3, 2) = 1/288 z y x + 1/1728 z y x + 7/1728 x y z + + 2 2 3 3 2 2 2 2 3 2 2 + - 1/1728 x y z - 1/288 y x z - 1/288 x y z + 1/288 y x z + + 2 3 3 3 3 3 2 3 2 3 + - 7/1728 y x z - 1/1728 z y x + 1/1728 z y x - 7/1728 y x z + + 3 3 3 2 3 + + 7/1728 y x z , COEFF(-2, -2, 3) = 1/1728 x y z - 1/1728 x y z + + 2 3 2 3 2 3 3 2 2 + + 1/864 x y z + 1/864 x y z + 1/1728 z y x - 1/864 y x z + + 2 2 3 2 3 3 3 2 3 3 + - 1/864 x y z + 1/864 y x z - 1/1728 y x z + 1/864 y x z + + 2 2 3 3 3 3 2 2 3 3 2 + - 1/432 x y z - 1/1728 y x z - 1/864 z y x + 1/1728 y x z + + 2 2 2 3 3 3 3 2 2 2 + + 1/432 x y z - 1/1728 y x z + 1/1728 y x z - 1/864 x y z , + + 2 3 2 3 + COEFF(-1, -2, 3) = - 1/216 x y z + 1/216 x y z - 1/108 x y z + + 2 3 2 3 3 2 2 3 3 + - 5/576 x y z - 7/1728 z y x + 5/576 y x z + 7/1728 y x z + + 3 2 3 2 2 2 3 3 2 2 3 + - 5/576 y x z + 5/576 x y z - 7/864 y x z + 5/288 x y z + + 3 3 3 2 2 3 3 2 2 2 2 + + 7/1728 y x z + 7/864 z y x - 1/216 y x z - 5/288 x y z + + 3 3 3 3 2 2 2 + + 1/216 y x z - 7/1728 y x z + 1/108 x y z , COEFF(0, -2, 3) = + + 2 2 2 3 2 2 3 2 3 + - 7/432 x y z + 1/108 z y x - 7/216 x y z + 7/432 x y z + + 3 3 2 3 2 2 2 3 3 + - 1/108 y x z + 1/72 y z + 7/216 x y z - 1/144 y z + + 3 3 2 2 3 3 3 3 2 2 + + 1/108 y x z + 1/144 y z - 1/108 y x z - 1/144 y z - 1/72 y z + + 2 2 3 3 2 3 3 2 2 2 3 3 + - 1/54 z y x + 7/432 y x z - 7/432 y x z + 1/54 y x z + + 3 2 2 2 3 2 2 + + 1/144 y z , COEFF(1, -2, 3) = 5/216 x y z + 5/432 x y z + + 2 3 3 2 2 2 3 3 3 3 + - 1/108 z y x + 5/432 y x z - 1/54 y x z - 1/216 y x z + + 2 2 3 2 2 2 2 2 2 3 + + 1/54 z y x - 1/108 x y z - 5/216 x y z + 1/108 x y z + + 3 3 3 3 2 3 2 + + 1/108 y x z - 1/216 x y z - 5/432 x y z + 1/216 x y z + + 3 3 2 3 2 3 3 3 3 2 + - 1/108 y x z - 5/432 y x z + 1/108 y x z + 1/216 y x z , + + 3 3 2 2 3 2 2 3 + COEFF(2, -2, 3) = - 7/1728 y x z - 7/864 z y x - 1/144 x y z + + 3 2 2 2 2 2 2 2 2 2 + - 1/288 y x z - 1/288 x y z + 1/864 x y z + 1/144 x y z + + 2 3 3 3 2 3 3 3 3 + - 1/864 x y z + 7/1728 y x z + 1/1728 x y z - 7/1728 y x z + + 2 2 3 3 3 2 3 2 3 + - 1/1728 x y z + 7/864 y x z - 1/1728 y x z + 1/288 y x z + + 2 3 3 3 2 3 + + 1/288 x y z + 1/1728 y x z + 7/1728 z y x , COEFF(3, -2, 3) = + + 3 3 2 2 3 2 2 3 2 2 + 1/1728 y x z + 1/864 x y z + 1/864 z y x + 1/1728 x y z + + 3 2 2 3 2 3 3 3 2 2 3 3 + + 1/1728 y x z - 1/1728 y x z - 1/1728 y x z - 1/864 y x z + + 2 2 2 2 3 3 3 3 2 3 + - 1/864 x y z - 1/1728 x y z + 1/1728 y x z - 1/1728 z y x , + + 3 3 2 2 2 3 + COEFF(-2, -1, 3) = 7/1728 y x z + 5/576 x y z - 5/576 x y z + + 3 2 3 3 3 3 2 + + 1/216 x y z - 1/216 x y z + 7/1728 y x z - 7/1728 y x z + + 2 3 3 3 2 3 2 2 3 + - 1/108 x y z + 1/216 y x z - 1/216 z y x + 5/576 z y x + + 2 2 3 2 2 2 2 2 3 2 2 + + 5/288 x y z + 1/108 x y z - 5/288 x y z + 7/864 y x z + + 2 3 3 3 3 2 3 2 3 + - 5/576 y x z - 7/1728 y x z - 7/864 y x z , COEFF(-1, -1, 3) = + + 3 3 2 2 2 3 3 2 + - 7/216 y x z - 5/72 x y z + 5/72 x y z - 1/27 x y z + 1/27 x y z + + 2 3 3 2 35 2 3 3 35 2 2 3 + + 7/216 z y x + 7/216 y x z + --- y x z - --- z y x + 576 576 + + 35 3 2 3 2 2 3 3 35 3 2 2 + + --- y x z - 5/72 x y z - 7/216 y x z - --- y x z + 576 576 + + 49 3 3 3 49 3 3 2 25 2 2 3 2 3 + - ---- y x z + ---- y x z - --- x y z + 5/72 x y z + 1728 1728 192 + + 25 2 2 2 3 3 2 3 3 + + --- x y z , COEFF(0, -1, 3) = 7/144 y z - 5/48 y z + 1/18 y z + 192 + + 3 2 2 2 2 3 3 2 2 3 49 3 2 3 + - 7/144 y z + 5/48 y z - 5/36 y x z + 5/36 z y x - --- y x z + 432 + + 2 2 3 3 49 3 2 2 3 3 3 + + 7/54 x y z + 2/27 y x z + --- y x z + 7/108 y x z + 432 + + 3 3 2 35 2 2 3 2 3 35 2 2 2 + - 7/108 y x z + --- x y z - 7/54 x y z - --- x y z + 144 144 + + 2 3 2 2 2 + - 2/27 z y x - 1/18 y z , COEFF(1, -1, 3) = - 5/54 x y z + + 35 3 2 2 2 2 3 2 3 35 3 2 3 + - --- y x z - 5/36 z y x + 5/54 x y z + --- y x z + 432 432 + + 25 2 2 3 3 3 3 3 2 3 + - --- x y z - 2/27 y x z + 7/216 y x z + 2/27 z y x + 144 + + 2 2 2 3 3 2 3 3 3 2 + + 5/72 x y z + 5/36 y x z - 5/72 x y z + 7/108 y x z + + 3 2 3 3 3 3 25 2 2 2 + - 7/216 y x z - 7/108 y x z + 1/27 x y z + --- x y z + 144 + + 2 2 3 2 + - 1/27 x y z , COEFF(2, -1, 3) = 5/576 x y z + 1/216 x y z + + 3 2 3 2 2 3 3 + + 7/1728 y x z - 1/216 x y z - 5/576 x y z + 7/216 y x z + + 35 2 2 3 49 3 3 2 2 2 49 3 3 3 + + --- z y x - ---- y x z + 1/36 x y z + ---- y x z + 576 1728 1728 + + 2 3 2 2 2 35 2 3 3 2 2 3 + - 1/36 x y z - 5/96 x y z - --- y x z + 5/96 x y z + 576 + + 2 3 3 3 3 2 3 3 2 2 + - 7/216 z y x - 7/1728 y x z - 7/288 y x z + 7/288 y x z , + + 3 3 3 2 3 2 2 3 + COEFF(3, -1, 3) = - 7/1728 y x z + 1/216 z y x - 5/576 z y x + + 3 2 3 2 2 2 3 3 2 2 2 + + 7/1728 y x z - 1/216 x y z + 5/576 y x z + 5/576 x y z + + 2 3 2 2 3 3 3 3 3 2 + + 1/216 x y z - 5/576 x y z - 1/216 y x z + 7/1728 y x z + + 3 2 2 3 3 2 + - 7/1728 y x z , COEFF(-2, 0, 3) = - 1/144 x z + 1/108 y x z + + 2 2 3 2 3 2 3 3 3 + - 7/432 x y z + 1/144 x z + 1/54 y x z - 1/108 y x z + + 2 3 3 3 3 2 2 3 3 3 3 + + 7/432 y x z + 1/108 y x z + 7/432 x y z - 1/108 y x z + + 2 2 3 2 3 3 2 2 2 2 2 + - 7/432 z y x + 1/144 x z - 1/144 x z + 7/216 x y z - 1/72 x z + + 2 2 3 2 3 3 2 2 + - 7/216 x y z + 1/72 x z - 1/54 y x z , COEFF(-1, 0, 3) = + + 2 3 3 2 2 3 3 3 + - 1/18 x z + 1/18 x z - 2/27 y x z - 7/54 x y z + 2/27 y x z + + 35 2 2 3 3 3 2 3 2 2 3 3 3 + + --- x y z - 7/108 y x z + 5/36 y x z + 7/108 y x z + 144 + + 2 2 3 2 3 3 3 49 2 3 3 3 2 + + 7/54 x y z - 5/36 y x z + 7/144 x z - --- y x z - 7/144 x z + 432 + + 49 2 2 3 2 2 35 2 2 2 2 3 + + --- z y x + 5/48 x z - --- x y z - 5/48 x z , COEFF(0, 0, 3) = + 432 144 + + 2 2 3 2 3 2 3 3 3 3 2 + - 7/27 z y x + 7/36 y z + 1/12 z - 1/9 y z + 4/27 y x z + + 3 3 3 3 2 3 2 3 2 3 3 2 2 + - 4/27 y x z + 7/27 y x z + 7/36 x z + 7/27 y x z - 7/36 x z + + 49 2 2 2 3 2 49 2 2 3 2 2 3 2 2 + + --- x y z + 1/9 y z - --- x y z - 7/36 y z - 7/27 y x z + 108 108 + + 3 3 3 3 2 3 + - 1/12 z - 1/9 x z + 1/9 x z , COEFF(1, 0, 3) = - 1/18 x z + + 3 3 2 3 2 2 3 35 2 2 3 + + 1/9 x z + 1/18 x z + 2/27 y x z + 7/54 x y z + --- x y z + 108 + + 3 3 2 2 2 2 2 3 3 3 3 + - 2/27 y x z + 5/36 x z - 7/54 x y z - 5/36 x z + 4/27 y x z + + 3 2 3 2 2 3 2 3 3 3 3 2 + - 5/27 y x z + 7/27 z y x - 7/27 y x z - 4/27 y x z + + 3 2 2 35 2 2 2 3 2 + + 5/27 y x z - --- x y z - 1/9 x z , COEFF(2, 0, 3) = + 108 + + 3 2 2 3 3 3 3 3 3 + - 1/108 y x z - 7/432 x y z - 7/108 y x z + 1/108 y x z + + 2 2 49 2 3 3 3 49 2 2 3 3 3 + + 7/432 x y z + --- y x z + 1/144 x z - --- z y x - 7/144 x z + 432 432 + + 2 3 3 2 2 2 2 2 2 2 3 + - 1/144 x z + 7/108 y x z - 1/24 x z + 7/72 x y z + 1/24 x z + + 2 2 3 3 2 3 2 3 3 2 2 + - 7/72 x y z + 7/144 x z + 1/18 y x z - 1/18 y x z , + + 2 2 3 3 3 3 2 2 2 + COEFF(3, 0, 3) = 7/432 z y x + 1/108 y x z - 7/432 x y z + + 3 2 3 2 3 3 3 2 2 3 3 + - 1/108 y x z - 7/432 y x z + 1/108 y x z + 1/144 x z + + 2 2 2 3 3 2 3 3 2 + + 1/144 x z - 1/144 x z - 1/144 x z - 1/108 y x z + + 2 2 3 3 2 + + 7/432 x y z , COEFF(-2, 1, 3) = - 1/216 x y z + 1/216 x y z + + 2 3 2 3 3 3 2 2 3 + + 1/216 z y x + 1/108 x y z - 1/216 y x z + 5/216 x y z + + 2 2 2 2 3 3 2 3 3 2 + - 1/108 x y z + 5/432 z y x - 1/108 y x z - 1/108 y x z + + 2 3 2 2 2 3 3 3 2 3 + - 5/432 x y z - 5/216 x y z + 1/108 y x z - 1/54 y x z + + 2 2 2 3 3 3 3 3 3 2 2 + + 5/432 x y z - 5/432 y x z + 1/108 y x z + 1/54 y x z , + + 3 2 2 3 3 3 + COEFF(-1, 1, 3) = 1/27 x y z - 5/54 x y z - 7/108 y x z + + 3 3 25 2 2 3 3 3 2 2 + + 7/216 y x z - --- x y z - 2/27 y x z + 5/72 x y z + 144 + + 35 2 2 3 2 3 3 2 3 2 + - --- z y x - 1/27 x y z + 7/108 y x z + 2/27 y x z + 432 + + 25 2 2 2 2 3 3 2 3 2 3 + + --- x y z - 7/216 z y x + 5/36 y x z + 5/54 x y z + 144 + + 35 2 3 3 2 3 3 2 2 + + --- y x z - 5/72 x y z - 5/36 y x z , COEFF(0, 1, 3) = + 432 + + 3 3 2 2 3 2 35 2 2 3 + - 1/18 y z - 1/9 y z + 7/54 x y z + 1/18 y z + --- x y z + 108 + + 2 2 2 2 3 3 2 2 3 35 2 2 2 + + 5/36 y z - 7/54 x y z - 4/27 y x z + 2/27 z y x - --- x y z + 108 + + 3 3 3 2 2 3 2 3 3 2 3 3 3 + + 4/27 y x z + 5/27 z y x - 5/36 y z - 7/27 y x z + 1/9 y z + + 2 3 3 3 3 3 2 2 + - 5/27 y x z - 2/27 y x z + 7/27 y x z , COEFF(1, 1, 3) = + + 3 2 2 3 3 3 2 2 2 + - 1/27 x y z + 5/54 x y z - 4/27 y x z + 1/27 x y z + 5/54 x y z + + 3 3 2 3 2 2 3 3 2 2 + + 4/27 y x z - 2/27 y x z - 5/54 x y z - 5/27 y x z + + 25 2 2 2 3 3 2 2 3 2 3 + + --- x y z + 2/27 y x z - 5/27 z y x - 2/27 z y x + 108 + + 2 3 3 2 3 25 2 2 3 3 2 3 + + 5/27 y x z - 5/54 x y z - --- x y z + 5/27 y x z + 108 + + 3 3 2 3 2 3 + + 2/27 y x z , COEFF(2, 1, 3) = 7/216 z y x + 1/36 x y z + + 3 3 2 3 3 3 3 3 3 + - 7/108 y x z + 1/216 x y z + 7/108 y x z - 7/216 y x z + + 2 2 3 2 3 2 3 2 2 + - 5/432 x y z - 1/18 y x z - 1/216 x y z + 1/18 y x z + + 3 2 35 2 3 3 3 3 2 2 3 + + 1/108 y x z - --- y x z - 1/108 y x z + 5/72 x y z + 432 + + 2 2 2 3 2 2 2 35 2 2 3 + - 1/36 x y z + 5/432 x y z - 5/72 x y z + --- z y x , + 432 + + 2 3 3 3 3 3 3 2 + COEFF(3, 1, 3) = - 1/216 z y x - 1/108 y x z + 1/108 y x z + + 3 3 2 2 3 3 2 3 2 2 + + 1/216 y x z - 5/432 z y x + 1/108 y x z + 1/216 x y z + + 2 3 3 2 2 3 2 2 2 2 3 + + 5/432 y x z - 5/432 x y z + 5/432 x y z - 1/216 x y z + + 3 2 2 3 3 2 3 3 + - 1/108 y x z , COEFF(-2, 2, 3) = 1/1728 y x z + 1/288 y x z + + 2 2 2 2 3 2 3 3 2 + + 1/864 x y z - 1/144 x y z - 1/1728 z y x + 7/1728 y x z + + 3 3 3 3 2 3 2 3 2 3 + - 7/1728 y x z + 7/864 y x z + 1/288 x y z - 1/864 x y z + + 2 2 2 2 2 3 3 3 + + 1/144 x y z - 1/288 x y z - 7/1728 y x z + 1/1728 x y z + + 3 3 2 2 2 3 2 3 2 2 + + 7/1728 y x z - 1/288 z y x - 1/1728 x y z - 7/864 y x z , + + 3 3 2 2 49 3 3 3 + COEFF(-1, 2, 3) = - 7/1728 y x z + 1/36 x y z + ---- y x z + 1728 + + 3 2 3 2 3 3 2 2 + - 1/216 x y z + 7/1728 z y x - 7/288 y x z - 5/576 x y z + + 2 2 3 49 3 3 2 3 2 35 3 2 2 + + 5/96 x y z - ---- y x z - 7/216 y x z + --- y x z + 1728 576 + + 2 2 3 2 2 2 2 35 3 2 3 + + 7/288 z y x + 1/216 x y z - 5/96 x y z - --- y x z + 576 + + 2 3 2 3 3 3 + - 1/36 x y z + 5/576 x y z + 7/216 y x z , COEFF(0, 2, 3) = + + 2 3 3 2 2 3 3 3 3 2 49 3 2 3 + 1/18 y x z - 7/72 x y z - 7/108 y x z - 1/144 y z + --- y x z + 432 + + 2 3 2 3 2 2 2 3 3 2 + - 1/108 z y x + 1/24 y z + 7/72 x y z + 1/144 y z + 7/144 y z + + 2 2 49 3 2 2 3 3 2 2 3 + + 7/432 x y z - --- y x z + 7/108 y x z - 7/432 x y z + 432 + + 2 2 3 3 3 3 2 2 3 + - 1/24 y z - 7/144 y z + 1/108 y x z - 1/18 z y x , COEFF(1, 2, 3) + + 2 3 2 3 2 2 3 3 + = 1/108 z y x + 1/36 x y z - 1/36 x y z - 7/216 y x z + + 2 2 2 3 2 2 35 3 2 2 + - 5/72 x y z + 1/216 x y z - 5/432 x y z + --- y x z + 432 + + 2 3 3 2 3 3 2 2 3 + - 1/18 y x z - 1/216 x y z - 7/108 y x z + 5/432 x y z + + 2 2 3 3 3 3 2 35 3 2 3 + + 5/72 x y z - 1/108 y x z + 7/216 y x z - --- y x z + 432 + + 2 2 3 3 3 3 2 3 + + 1/18 z y x + 7/108 y x z , COEFF(2, 2, 3) = - 1/288 x y z + + 2 2 2 3 3 2 49 3 3 2 + + 1/288 x y z - 7/1728 z y x - 7/1728 y x z + ---- y x z + 1728 + + 3 2 2 2 2 2 3 2 2 3 + - 1/1728 x y z + 1/48 x y z - 7/288 z y x - 1/48 x y z + + 2 3 3 2 3 2 3 3 + + 7/288 y x z - 1/288 x y z + 1/1728 x y z + 7/1728 y x z + + 2 2 3 2 3 3 2 2 3 3 + + 1/288 x y z + 7/288 y x z - 7/288 y x z + 7/1728 y x z + + 49 3 3 3 2 2 3 2 2 2 + - ---- y x z , COEFF(3, 2, 3) = 1/288 x y z - 1/288 x y z + 1728 + + 2 3 3 3 3 3 2 2 3 3 + + 1/1728 x y z - 1/1728 y x z - 7/1728 y x z - 1/288 y x z + + 2 2 3 3 2 3 3 2 2 2 2 + + 1/288 z y x - 7/1728 y x z + 7/1728 y x z - 1/1728 x y z + + 2 3 3 3 3 3 2 + + 1/1728 z y x + 7/1728 y x z , COEFF(-2, 3, 3) = - 1/1728 y x z + + 2 3 3 2 3 3 2 2 3 3 + - 1/1728 y x z - 1/1728 x y z + 1/864 y x z + 1/1728 y x z + + 3 2 3 3 3 2 2 2 3 2 2 + - 1/864 y x z - 1/1728 y x z + 1/1728 z y x + 1/1728 x y z + + 2 2 2 2 2 3 3 3 3 + - 1/864 x y z + 1/864 x y z + 1/1728 y x z , COEFF(-1, 3, 3) = + + 3 2 3 2 3 3 3 2 2 2 2 + 5/576 y x z + 7/1728 y x z + 1/216 y x z + 5/576 x y z + + 2 2 3 3 3 3 3 2 2 2 3 + - 7/1728 z y x - 1/216 y x z + 7/1728 y x z - 5/576 x y z + + 3 2 2 3 3 3 2 2 2 3 + - 5/576 y x z - 7/1728 y x z - 1/216 x y z + 1/216 x y z , + + 2 2 2 3 2 3 3 3 2 + COEFF(0, 3, 3) = - 7/432 x y z - 7/432 y x z - 1/108 y x z + + 3 3 2 3 3 3 2 2 3 2 + + 1/144 y z - 1/108 y x z + 7/432 y x z - 1/144 y z + + 2 2 3 3 3 3 2 2 3 2 2 + + 1/108 z y x + 1/108 y x z + 7/432 x y z + 1/144 y z + + 2 3 2 2 3 2 2 3 + - 1/144 y z , COEFF(1, 3, 3) = - 1/108 z y x - 5/432 x y z + + 2 3 3 2 2 2 2 2 3 2 3 + - 1/216 x y z - 5/432 y x z + 5/432 x y z + 5/432 y x z + + 3 3 3 3 3 2 3 3 2 2 + + 1/216 y x z - 1/108 y x z + 1/108 y x z + 1/216 x y z + + 3 2 3 3 2 3 3 + - 1/216 y x z + 1/108 y x z , COEFF(2, 3, 3) = - 1/1728 y x z + + 2 3 3 3 3 2 3 3 2 2 2 + + 1/1728 x y z + 7/1728 y x z - 7/1728 y x z - 1/288 x y z + + 3 2 3 2 2 3 3 2 2 2 + + 1/1728 y x z + 1/288 y x z - 7/1728 y x z - 1/1728 x y z + + 2 2 3 3 2 3 2 2 3 + + 7/1728 z y x - 1/288 y x z + 1/288 x y z , COEFF(3, 3, 3) = + + 3 3 3 3 2 2 2 3 3 2 2 2 + - 1/1728 y x z - 1/1728 y x z + 1/1728 y x z + 1/1728 x y z + + 2 2 3 3 2 3 3 3 2 2 2 3 + - 1/1728 z y x + 1/1728 y x z + 1/1728 y x z - 1/1728 x y z ] + +> print_coeff__lc_of_data(%, "coeff_I_", "fp", +> "3d.coeffs/3d.cube.order3/coeff-I.compute.c"); +bytes used=3543150260, alloc=13497944, time=612.66 +bytes used=3544150692, alloc=13497944, time=612.75 +bytes used=3545151148, alloc=13497944, time=612.83 +bytes used=3546151420, alloc=13497944, time=612.92 +bytes used=3547151672, alloc=13497944, time=613.00 +bytes used=3548151992, alloc=13497944, time=613.09 +bytes used=3549152152, alloc=13497944, time=613.17 +bytes used=3550152668, alloc=13497944, time=613.26 +bytes used=3551152944, alloc=13497944, time=613.34 +bytes used=3552153100, alloc=13497944, time=613.43 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1/54 y x z DATA(3, 3, 0) + 27 + + 3 3 224 3 3 + - 16/9 y x z DATA(2, 0, 0) - --- y x z DATA(0, 0, 0) + 27 + + 16 3 3 3 3 + - -- y x z DATA(-2, 0, 0) - 7/27 y x z DATA(-2, 0, 2) + 27 + + 3 3 2 2 2 + + 1/27 y x z DATA(-2, 0, 3) - 7/144 x y z DATA(-1, -2, -2) + + 3 2 3 2 2 + - 7/36 y x z DATA(-1, 1, 3) + 1/216 y z DATA(1, 3, 3) + + 2 2 2 2 + + 1/48 x y DATA(-2, 3, 0) - 7/24 x y DATA(2, -2, 0) + + 2 3 2 + + 8/3 x z DATA(0, 0, 1) - 16/3 y x DATA(0, 1, 0) + + 3 2 3 2 + + 7/3 y x DATA(1, -1, 0) - 7/48 y x DATA(3, 2, 0) + + 3 2 3 2 + + 1/3 y x DATA(3, 1, 0) + 7/48 y x DATA(3, -1, 0) + + 3 2 49 3 2 + - 1/48 y x DATA(3, -2, 0) + -- y x DATA(-1, -1, 0) + 48 + + 3 2 3 2 + - 7/3 y x DATA(0, -1, 0) + 7/3 y x DATA(0, 2, 0) + + 49 3 2 3 2 + - -- y x DATA(-1, 2, 0) - 7/3 y x DATA(1, 2, 0) + 48 + + 3 2 3 2 + + 1/3 y x DATA(0, -2, 0) + 7/48 y x DATA(-1, 3, 0) + + 3 2 3 2 + - 1/48 y x DATA(-2, 3, 0) + 7/48 y x DATA(2, -2, 0) + + 3 2 3 2 + - 1/3 y x DATA(1, -2, 0) - 7/48 y x DATA(-1, -2, 0) + + 3 2 3 2 + + 7/48 y x DATA(-2, 2, 0) - 7/48 y x DATA(-2, -1, 0) + + 3 2 3 2 + + 1/48 y x DATA(-2, -2, 0) - 1/3 y x DATA(-2, 1, 0) + + 3 2 3 2 + - 1/3 y x DATA(0, 3, 0) - 7/48 y x DATA(2, 3, 0) + + 3 2 3 2 + + 1/3 y x DATA(1, 3, 0) - 16/3 y x DATA(1, 0, 0) + + 3 2 49 3 2 + - 7/3 y x DATA(-1, 0, 0) + -- y x DATA(2, 2, 0) + 48 + + 3 2 2 + + 7/3 y x DATA(-1, 1, 0) + 7/48 x y DATA(-1, 2, 0) + + 2 2 + + 1/3 x y DATA(1, 2, 0) - 7/48 x y DATA(2, 2, 0) + + 2 2 + - 7/6 x y DATA(-1, 1, 0) + 7/6 x y DATA(2, 1, 0) + + 2 2 + - 7/6 x y DATA(2, -1, 0) + 8/3 x y DATA(1, -1, 0) + + 2 2 + - 1/48 x z DATA(-2, 0, 2) - 1/6 x z DATA(-2, 0, -1) + + 2 2 + - 1/6 x z DATA(3, 0, 1) - 1/3 x z DATA(0, 0, 2) + + 3 + - 1/18 z DATA(-1, 0, -2) + 1/27 y z DATA(-1, -2, -1) + + 3 10 3 + - 5/18 x y z DATA(-1, -2, 1) - -- x y z DATA(1, -2, 1) + 27 + + 3 3 + + 1/9 x y z DATA(2, -2, 1) - 5/36 x y z DATA(-1, -1, -2) + + 3 3 + + 5/36 x y z DATA(-1, 1, -2) - 1/18 x y z DATA(2, 1, -2) + + 3 3 + + 1/18 x y z DATA(2, -1, -2) - 5/288 x y z 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- 5/216 x y z DATA(1, 2, -2) - 5/27 x y z DATA(1, -1, -2) + + 3 3 + + 5/288 x y z DATA(-1, -2, -2) - 1/54 x y z DATA(-2, 1, -2) + + 3 3 + - 1/144 x y z DATA(2, -2, -2) - 1/432 x y z DATA(-2, -2, -2) + + 80 3 49 3 + - -- x y z DATA(1, 1, 1) + --- x y z DATA(0, -2, -1) + 27 216 + + 2 2 + - 2/3 x y DATA(0, -2, 0) + 1/216 y z DATA(2, 1, 2) + + 49 3 112 3 + - -- x y z DATA(0, -1, -1) - --- x y z DATA(0, -1, 1) + 27 27 + + 49 3 3 + - --- x y z DATA(0, 2, -1) - 7/27 x y z DATA(0, 1, -2) + 216 + + 3 35 3 + + 5/216 x y z DATA(1, 2, 3) - --- x y z DATA(1, -2, -1) + 216 + + 35 3 3 + + --- x y z DATA(1, -2, 2) - 5/216 x y z DATA(1, -2, 3) + 216 + + 3 3 + + 7/144 x y z DATA(2, -2, -1) - 7/144 x y z DATA(2, -2, 2) + + 3 3 + + 1/144 x y z DATA(2, -2, 3) - 1/18 x y z DATA(2, -1, 3) + + 3 3 + + 1/18 x y z DATA(2, 1, 3) - 1/144 x y z DATA(2, 2, 3) + + 49 3 14 3 + - -- x y z DATA(0, 1, 2) - -- x y z DATA(0, 2, 1) + 27 27 + + 49 3 49 3 + + --- x y z DATA(0, 2, 2) + -- x y z DATA(0, -1, 2) + 216 27 + + 3 3 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+[COEFF(-2, -2, -2) = - 1/864 y z + 1/1728 y z + 1/1728 z y - 1/108 x y z + + 2 2 2 2 + - 1/432 x y z + 1/576 x y z + 1/216 x y z - 1/288 x y z + + 2 2 2 2 2 2 2 3 + - 1/288 x y z + 1/216 x y z + 1/144 x y z + 1/576 x y z + + 3 3 2 3 3 3 2 + - 1/432 x y z + 1/576 y x z - 1/432 z y x + 1/576 z y x + + 2 3 2 2 3 3 3 2 3 + + 1/216 x y z - 1/288 x y z - 1/432 y x z - 1/864 y z + + 3 3 3 2 3 3 2 2 + + 1/1728 y z + 1/216 y x z + 1/1728 y z - 1/288 y x z + + 3 2 2 2 2 2 + - 1/864 y z - 1/864 y z + 1/432 y z , COEFF(-1, -2, -2) = 1/108 y z + + 3 2 2 2 + - 1/216 y z - 1/216 z y + 5/72 x y z + 5/288 x y z - 7/576 x y z + + 2 2 2 2 2 2 + - 5/144 x y z + 7/288 x y z + 7/288 x y z - 5/144 x y z + + 2 2 2 2 3 3 3 2 3 + - 7/144 x y z - 7/576 x y z + 5/288 x y z - 7/576 y x z + + 3 3 2 2 3 2 2 3 + + 5/288 z y x - 7/576 z y x - 5/144 x y z + 7/288 x y z + + 3 3 2 3 3 3 3 2 3 + + 5/288 y x z + 1/108 y z - 1/216 y z - 5/144 y x z - 1/216 y z + + 3 2 2 3 2 2 2 2 + + 7/288 y x z + 1/108 y z + 1/108 y z - 1/54 y z , COEFF(0, -2, -2) + + 2 2 2 3 2 2 2 3 + = - 1/18 x y z + 7/108 x y z + 1/9 x y z - 7/216 z y x + + 3 2 3 3 3 2 2 + + 1/36 y x z - 7/216 x y z + 1/36 z y x + 7/108 x y z + + 3 2 2 2 2 2 2 + + 7/108 y x z - 1/18 x y z - 7/54 x y z + 7/108 x y z + + 2 2 3 3 2 2 3 3 2 3 + - 1/18 x y z - 1/18 y x z - 7/216 y x z + 1/36 x y z + + 2 2 + + 1/36 x y z - 7/216 x y z, COEFF(1, -2, -2) = - 1/108 y z + 1/216 y z + + 3 2 2 2 2 + + 1/216 z y + 5/54 x y z + 5/216 x y z - 1/36 x y z - 5/108 x y z + + 2 2 2 2 2 2 2 2 2 3 + + 1/18 x y z + 1/18 x y z - 5/108 x y z - 1/9 x y z - 1/36 x y z + + 3 3 2 3 3 3 2 + + 5/216 x y z - 1/36 y x z + 5/216 z y x - 1/36 z y x + + 2 3 2 2 3 3 3 2 3 + - 5/108 x y z + 1/18 x y z + 5/216 y x z - 1/108 y z + + 3 3 3 2 3 3 2 2 3 2 + + 1/216 y z - 5/108 y x z + 1/216 y z + 1/18 y x z - 1/108 y z + + 2 2 2 2 + - 1/108 y z + 1/54 y z , COEFF(2, -2, -2) = 1/864 y z - 1/1728 y z + + 3 2 2 2 2 + - 1/1728 z y - 1/36 x y z - 1/144 x y z + 7/576 x y z + 1/72 x y z + + 2 2 2 2 2 2 2 2 + - 7/288 x y z - 7/288 x y z + 1/72 x y z + 7/144 x y z + + 2 3 3 3 2 3 3 + + 7/576 x y z - 1/144 x y z + 7/576 y x z - 1/144 z y x + + 3 2 2 3 2 2 3 3 3 + + 7/576 z y x + 1/72 x y z - 7/288 x y z - 1/144 y x z + + 2 3 3 3 3 2 3 3 2 2 + + 1/864 y z - 1/1728 y z + 1/72 y x z - 1/1728 y z - 7/288 y x z + + 3 2 2 2 2 2 2 + + 1/864 y z + 1/864 y z - 1/432 y z , COEFF(3, -2, -2) = 1/288 x y z + + 2 3 2 2 2 2 2 3 + - 1/576 x y z + 1/288 y x z - 1/144 x y z + 1/864 z y x + + 2 3 2 3 3 2 2 3 + - 1/432 x y z - 1/432 y x z + 1/864 y x z + 1/288 x y z + + 3 2 3 2 2 + + 1/864 x y z + 1/864 x y z - 1/432 x y z + 1/216 x y z + + 2 2 2 3 2 2 3 + + 1/288 x y z - 1/432 x y z - 1/576 z y x - 1/576 x y z + + 3 2 3 2 3 + - 1/576 y x z , COEFF(-2, -1, -2) = 5/576 y z - 1/216 y z - 7/1728 z y + + 2 2 2 2 2 2 + + 5/72 x y z + 1/54 x y z - 1/72 x y z - 5/144 x y z + 5/192 x y z + + 2 2 2 2 2 2 2 3 3 + + 1/36 x y z - 1/27 x y z - 5/96 x y z - 1/72 x y z + 1/54 x y z + + 3 2 3 3 3 2 2 3 + - 7/576 y x z + 7/432 z y x - 7/576 z y x - 5/144 x y z + + 2 2 3 3 3 2 3 3 3 + + 5/192 x y z + 7/432 y x z + 5/576 y z - 7/1728 y z + + 3 2 3 3 2 2 3 2 2 + - 7/216 y x z - 1/216 y z + 7/288 y x z + 7/864 y z + 1/108 y z + + 2 2 2 3 + - 5/288 y z , COEFF(-1, -1, -2) = - 5/72 y z + 1/27 y z + 7/216 z y + + 25 2 2 2 25 2 35 2 2 + - -- x y z - 5/36 x y z + 7/72 x y z + -- x y z - --- x y z + 48 96 192 + + 2 2 2 35 2 2 2 2 3 3 + - 7/36 x y z + 5/18 x y z + -- x y z + 7/72 x y z - 5/36 x y z + 96 + + 49 3 2 3 35 3 49 3 2 25 2 3 35 2 2 3 + + --- y x z - --- z y x + --- z y x + -- x y z - --- x y z + 576 288 576 96 192 + + 35 3 3 2 3 3 3 35 3 2 3 + - --- y x z - 5/72 y z + 7/216 y z + --- y x z + 1/27 y z + 288 144 + + 49 3 2 2 3 2 2 2 2 + - --- y x z - 7/108 y z - 2/27 y z + 5/36 y z , COEFF(0, -1, -2) = + 288 + + 2 2 3 2 2 2 2 49 3 2 35 2 + 4/9 x y z + 7/18 y x z + 5/12 x y z - --- y x z - -- x y z + 108 72 + + 3 14 2 49 3 2 2 2 2 3 + + 7/27 x y z - -- x y z + --- z y x - 5/6 x y z - 2/9 x y z + 27 216 + + 2 35 2 3 3 2 2 2 3 35 2 2 + - 2/9 x y z - -- x y z - 7/36 z y x + 5/12 x y z + -- x y z + 72 36 + + 49 3 3 3 2 3 2 + + --- y x z + 7/27 x y z - 7/36 y x z , COEFF(1, -1, -2) = 5/72 y z + 216 + + 3 25 2 2 2 25 2 + - 1/27 y z - 7/216 z y - -- x y z - 5/27 x y z + 2/9 x y z + -- x y z + 36 72 + + 2 2 2 2 10 2 2 2 2 2 3 + - 5/12 x y z - 4/9 x y z + -- x y z + 5/6 x y z + 2/9 x y z + 27 + + 3 3 2 3 35 3 3 2 25 2 3 + - 5/27 x y z + 7/36 y x z - --- z y x + 7/36 z y x + -- x y z + 216 72 + + 2 2 3 35 3 3 2 3 3 3 35 3 2 + - 5/12 x y z - --- y x z + 5/72 y z - 7/216 y z + --- y x z + 216 108 + + 3 3 2 2 3 2 2 2 2 + - 1/27 y z - 7/18 y x z + 7/108 y z + 2/27 y z - 5/36 y z , + + 2 3 2 2 + COEFF(2, -1, -2) = - 5/576 y z + 1/216 y z + 7/1728 z y + 5/24 x y z + + 2 2 35 2 2 2 2 + + 1/18 x y z - 7/72 x y z - 5/48 x y z + --- x y z + 7/36 x y z + 192 + + 2 35 2 2 2 2 3 3 49 3 2 3 + - 1/9 x y z - -- x y z - 7/72 x y z + 1/18 x y z - --- y x z + 96 576 + + 3 49 3 2 2 3 35 2 2 3 3 3 + + 7/144 z y x - --- z y x - 5/48 x y z + --- x y z + 7/144 y x z + 576 192 + + 2 3 3 3 3 2 3 49 3 2 2 + - 5/576 y z + 7/1728 y z - 7/72 y x z + 1/216 y z + --- y x z + 288 + + 3 2 2 2 2 + - 7/864 y z - 1/108 y z + 5/288 y z , COEFF(3, -1, -2) = + + 2 2 3 2 2 2 2 3 + - 5/144 x y z - 7/288 y x z - 5/192 x y z - 1/108 x y z + + 3 2 2 3 3 2 3 2 + - 7/864 z y x - 5/192 x y z + 7/576 y x z + 1/54 x y z + + 3 2 3 2 2 2 + - 1/108 x y z + 7/432 y x z + 7/576 z y x - 1/36 x y z + + 2 2 2 3 3 2 2 3 + + 5/96 x y z - 7/864 y x z + 1/72 x y z + 5/288 x y z + + 2 2 3 2 2 + + 5/288 x y z + 1/72 x y z , COEFF(-2, 0, -2) = - 7/432 y z + 1/48 x z + + 2 3 3 2 2 + - 1/36 x z + 1/144 z - 1/72 z + 1/144 z + 1/108 z y - 7/54 x y z + + 2 2 2 2 2 2 3 2 3 + + 7/108 x y z - 7/144 x y z + 7/72 x y z + 1/36 y x z + + 3 3 2 2 3 2 2 3 + - 1/27 z y x + 1/36 z y x + 7/108 x y z - 7/144 x y z + + 3 3 2 3 2 3 3 3 2 + - 1/27 y x z + 1/48 x z - 7/432 y z + 1/108 y z + 1/18 x z + + 2 2 3 2 3 2 2 3 2 3 + - 1/24 x z + 2/27 y x z - 1/18 y x z - 1/54 y z - 1/36 x z + + 2 2 2 2 + + 7/216 y z , COEFF(-1, 0, -2) = 7/54 y z - 7/48 x z + 5/24 x z + + 2 3 3 35 2 2 35 2 + - 1/18 z + 1/9 z - 1/18 z - 2/27 z y + -- x y z - -- x y z + 36 72 + + 49 2 2 49 2 2 2 3 2 3 3 3 2 + + --- x y z - -- x y z - 7/36 y x z + 5/18 z y x - 7/36 z y x + 144 72 + + 35 2 3 49 2 2 3 3 3 2 3 2 3 + - -- x y z + --- x y z + 5/18 y x z - 7/48 x z + 7/54 y z + 72 144 + + 3 3 2 2 2 3 2 3 2 2 + - 2/27 y z - 5/12 x z + 7/24 x z - 5/9 y x z + 7/18 y x z + + 3 2 3 2 2 2 2 + + 4/27 y z + 5/24 x z - 7/27 y z , COEFF(0, 0, -2) = - 7/9 x y z + + 3 2 14 3 3 2 3 2 2 + + 4/9 z y x - -- z y x + 4/9 y x z - 7/18 x z - 2/3 x z + 27 + + 49 2 3 2 3 2 3 2 2 28 3 2 2 + + -- x y z + 1/3 x z + 7/9 x z - 8/9 y x z + -- y x z + 1/3 x z + 54 27 + + 14 3 3 2 2 3 2 2 2 49 2 2 49 2 + - -- y x z - 7/9 x y z + 14/9 x y z - -- x y z + -- x y z + 27 27 54 + + 3 2 2 + - 7/18 x z , COEFF(1, 0, -2) = - 7/54 y z - 1/3 x z + 5/18 x z + 1/18 z + + 2 3 3 35 2 2 35 2 2 2 + - 1/9 z + 1/18 z + 2/27 z y + -- x y z - -- x y z + 7/9 x y z + 27 54 + + 2 2 2 3 2 3 10 3 3 2 35 2 3 + - 14/9 x y z - 4/9 y x z + -- z y x - 4/9 z y x - -- x y z + 27 54 + + 2 2 3 10 3 3 2 3 2 3 3 3 + + 7/9 x y z + -- y x z - 1/3 x z - 7/54 y z + 2/27 y z + 27 + + 2 2 2 20 3 2 3 2 2 3 2 + - 5/9 x z + 2/3 x z - -- y x z + 8/9 y x z - 4/27 y z + 27 + + 3 2 2 2 2 + + 5/18 x z + 7/27 y z , COEFF(2, 0, -2) = 7/432 y z + 7/48 x z + + 2 3 3 2 2 + - 1/12 x z - 1/144 z + 1/72 z - 1/144 z - 1/108 z y - 7/18 x y z + + 2 49 2 2 49 2 2 2 3 2 3 3 + + 7/36 x y z - --- x y z + -- x y z + 7/36 y x z - 1/9 z y x + 144 72 + + 3 2 2 3 49 2 2 3 3 3 2 3 + + 7/36 z y x + 7/36 x y z - --- x y z - 1/9 y x z + 7/48 x z + 144 + + 2 3 3 3 2 2 2 3 2 + + 7/432 y z - 1/108 y z + 1/6 x z - 7/24 x z + 2/9 y x z + + 3 2 2 3 2 3 2 2 + - 7/18 y x z + 1/54 y z - 1/12 x z - 7/216 y z , COEFF(3, 0, -2) = + + 2 2 2 3 2 2 3 2 2 2 + - 7/216 x y z + 7/144 x y z + 1/18 y x z - 1/36 z y x + 1/24 x z + + 3 2 3 2 3 2 2 2 + - 1/27 y x z + 1/72 x z - 7/216 x y z - 1/36 x z + 7/108 x y z + + 2 3 3 2 2 2 2 2 3 + - 1/48 x z + 1/54 z y x - 7/72 x y z + 1/72 x z + 7/144 x y z + + 3 3 3 2 3 2 2 + + 1/54 y x z - 1/36 y x z - 1/48 x z, COEFF(-2, 1, -2) = 5/432 y z + + 3 2 2 2 + + 1/216 y z - 1/108 z y + 5/54 x y z - 1/54 x y z + 1/72 x y z + + 2 2 2 2 2 2 + - 5/108 x y z + 5/144 x y z - 1/36 x y z + 1/27 x y z + + 2 2 2 2 3 3 3 2 3 3 + - 5/72 x y z + 1/72 x y z - 1/54 x y z - 1/36 y x z + 1/27 z y x + + 3 2 2 3 2 2 3 3 3 + - 1/36 z y x - 5/108 x y z + 5/144 x y z + 1/27 y x z + + 2 3 3 3 3 2 3 3 2 2 + + 5/432 y z - 1/108 y z - 2/27 y x z + 1/216 y z + 1/18 y x z + + 3 2 2 2 2 2 + + 1/54 y z - 1/108 y z - 5/216 y z , COEFF(-1, 1, -2) = - 5/54 y z + + 3 25 2 2 2 25 2 + - 1/27 y z + 2/27 z y - -- x y z + 5/36 x y z - 7/72 x y z + -- x y z + 36 72 + + 35 2 2 2 2 2 35 2 2 2 2 3 + - --- x y z + 7/36 x y z - 5/18 x y z + -- x y z - 7/72 x y z + 144 72 + + 3 3 2 3 3 3 2 25 2 3 + + 5/36 x y z + 7/36 y x z - 5/18 z y x + 7/36 z y x + -- x y z + 72 + + 35 2 2 3 3 3 2 3 3 3 3 2 + - --- x y z - 5/18 y x z - 5/54 y z + 2/27 y z + 5/9 y x z + 144 + + 3 3 2 2 3 2 2 2 2 + - 1/27 y z - 7/18 y x z - 4/27 y z + 2/27 y z + 5/27 y z , + + 2 2 2 14 2 35 2 3 + COEFF(0, 1, -2) = - 10/9 x y z + -- x y z - 7/27 x y z - -- x y z + 27 54 + + 2 3 35 2 2 3 2 14 3 28 3 2 + + 2/9 x y z + -- x y z - 4/9 z y x + -- z y x - -- y x z + 27 27 27 + + 3 2 2 3 2 3 14 3 3 2 2 35 2 + + 8/9 y x z - 4/9 y x z + -- y x z - 4/9 x y z - -- x y z + 27 54 + + 2 2 2 2 3 2 3 + + 5/9 x y z + 5/9 x y z + 2/9 x y z - 7/27 x y z , COEFF(1, 1, -2) + + 2 3 25 2 2 2 + = 5/54 y z + 1/27 y z - 2/27 z y - -- x y z + 5/27 x y z - 2/9 x y z + 27 + + 25 2 2 2 2 2 10 2 2 2 2 + + -- x y z - 5/9 x y z + 4/9 x y z - -- x y z + 10/9 x y z + 54 27 + + 2 3 3 3 2 3 10 3 3 2 + - 2/9 x y z + 5/27 x y z + 4/9 y x z - -- z y x + 4/9 z y x + 27 + + 25 2 3 2 2 3 10 3 3 2 3 3 3 + + -- x y z - 5/9 x y z - -- y x z + 5/54 y z - 2/27 y z + 54 27 + + 20 3 2 3 3 2 2 3 2 2 + + -- y x z + 1/27 y z - 8/9 y x z + 4/27 y z - 2/27 y z + 27 + + 2 2 2 3 + - 5/27 y z , COEFF(2, 1, -2) = - 5/432 y z - 1/216 y z + 1/108 z y + + 2 2 2 2 35 2 2 + + 5/18 x y z - 1/18 x y z + 7/72 x y z - 5/36 x y z + --- x y z + 144 + + 2 2 2 35 2 2 2 2 3 3 + - 7/36 x y z + 1/9 x y z - -- x y z + 7/72 x y z - 1/18 x y z + 72 + + 3 2 3 3 3 2 2 3 35 2 2 3 + - 7/36 y x z + 1/9 z y x - 7/36 z y x - 5/36 x y z + --- x y z + 144 + + 3 3 2 3 3 3 3 2 3 + + 1/9 y x z - 5/432 y z + 1/108 y z - 2/9 y x z - 1/216 y z + + 3 2 2 3 2 2 2 2 + + 7/18 y x z - 1/54 y z + 1/108 y z + 5/216 y z , COEFF(3, 1, -2) + + 3 3 2 3 2 3 + = 1/108 x y z - 1/54 y x z + 5/216 x y z + 1/108 x y z - 1/72 x y z + + 3 2 2 2 2 3 2 2 + + 1/27 y x z + 1/36 x y z + 5/216 x y z - 5/144 x y z + + 2 2 2 3 2 3 2 + - 1/72 x y z - 5/144 x y z - 1/54 x y z + 1/36 z y x + + 2 2 3 2 2 3 3 2 3 + - 5/108 x y z - 1/18 y x z - 1/54 z y x + 1/36 y x z + + 2 2 2 2 + + 5/72 x y z , COEFF(-2, 2, -2) = - 1/288 y z - 1/1728 y z + + 3 2 2 2 2 + + 7/1728 z y - 1/36 x y z + 1/432 x y z - 1/576 x y z + 1/72 x y z + + 2 2 2 2 2 2 2 2 + - 1/96 x y z + 1/288 x y z - 1/216 x y z + 1/48 x y z + + 2 3 3 3 2 3 3 + - 1/576 x y z + 1/432 x y z + 7/576 y x z - 7/432 z y x + + 3 2 2 3 2 2 3 3 3 + + 7/576 z y x + 1/72 x y z - 1/96 x y z - 7/432 y x z + + 2 3 3 3 3 2 3 + - 1/288 y z + 7/1728 y z + 7/216 y x z - 1/1728 y z + + 3 2 2 3 2 2 2 2 + - 7/288 y x z - 7/864 y z + 1/864 y z + 1/144 y z , + + 2 3 2 2 + COEFF(-1, 2, -2) = 1/36 y z + 1/216 y z - 7/216 z y + 5/24 x y z + + 2 2 2 2 2 2 + - 5/288 x y z + 7/576 x y z - 5/48 x y z + 7/96 x y z - 7/288 x y z + + 2 2 2 2 2 3 3 + + 5/144 x y z - 7/48 x y z + 7/576 x y z - 5/288 x y z + + 49 3 2 3 35 3 49 3 2 2 3 2 2 3 + - --- y x z + --- z y x - --- z y x - 5/48 x y z + 7/96 x y z + 576 288 576 + + 35 3 3 2 3 3 3 35 3 2 3 + + --- y x z + 1/36 y z - 7/216 y z - --- y x z + 1/216 y z + 288 144 + + 49 3 2 2 3 2 2 2 2 + + --- y x z + 7/108 y z - 1/108 y z - 1/18 y z , COEFF(0, 2, -2) = + 288 + + 3 2 2 3 2 2 49 3 2 3 2 3 + 7/216 x y z + 1/18 x y z - 7/18 y x z + --- y x z + 7/36 y x z + 108 + + 2 2 2 3 2 3 2 2 2 3 2 + + 7/36 x y z - 1/6 x y z - 1/36 x y z + 1/3 x y z + 7/36 z y x + + 2 3 2 49 3 2 2 + + 7/36 x y z - 1/36 x y z - --- z y x - 7/18 x y z + 7/216 x y z + 216 + + 2 2 49 3 3 2 2 + - 1/6 x y z - --- y x z - 7/108 x y z , COEFF(1, 2, -2) = - 1/36 y z + 216 + + 3 2 2 2 + - 1/216 y z + 7/216 z y + 5/18 x y z - 5/216 x y z + 1/36 x y z + + 2 2 2 2 2 2 2 2 2 + - 5/36 x y z + 1/6 x y z - 1/18 x y z + 5/108 x y z - 1/3 x y z + + 2 3 3 3 2 3 35 3 3 2 + + 1/36 x y z - 5/216 x y z - 7/36 y x z + --- z y x - 7/36 z y x + 216 + + 2 3 2 2 3 35 3 3 2 3 3 3 + - 5/36 x y z + 1/6 x y z + --- y x z - 1/36 y z + 7/216 y z + 216 + + 35 3 2 3 3 2 2 3 2 2 + - --- y x z - 1/216 y z + 7/18 y x z - 7/108 y z + 1/108 y z + 108 + + 2 2 2 3 + + 1/18 y z , COEFF(2, 2, -2) = 1/288 y z + 1/1728 y z - 7/1728 z y + + 2 2 2 2 2 2 + - 1/12 x y z + 1/144 x y z - 7/576 x y z + 1/24 x y z - 7/96 x y z + + 2 2 2 2 2 2 2 3 + + 7/288 x y z - 1/72 x y z + 7/48 x y z - 7/576 x y z + + 3 49 3 2 3 3 49 3 2 2 3 + + 1/144 x y z + --- y x z - 7/144 z y x + --- z y x + 1/24 x y z + 576 576 + + 2 2 3 3 3 2 3 3 3 + - 7/96 x y z - 7/144 y x z + 1/288 y z - 7/1728 y z + + 3 2 3 49 3 2 2 3 2 2 + + 7/72 y x z + 1/1728 y z - --- y x z + 7/864 y z - 1/864 y z + 288 + + 2 2 3 2 3 2 2 3 + - 1/144 y z , COEFF(3, 2, -2) = - 7/576 y x z + 1/96 x y z + + 2 2 2 2 3 2 2 2 + + 1/72 x y z + 1/96 x y z + 7/864 z y x - 1/48 x y z - 1/864 x y z + + 2 3 2 2 2 + - 1/144 x y z - 1/144 x y z + 1/432 x y z + 1/576 x y z + + 3 2 3 2 2 2 3 3 + - 7/432 y x z + 7/288 y x z + 1/576 x y z - 1/864 x y z + + 3 2 2 2 3 3 + - 7/576 z y x - 1/288 x y z + 7/864 y x z , COEFF(-2, 3, -2) = + + 2 3 3 3 2 2 3 2 + - 1/432 x y z + 1/432 y x z + 1/216 x y z - 1/576 z y x + + 2 3 3 2 2 2 3 2 3 + + 1/1728 y z + 1/432 z y x - 1/288 x y z - 1/576 y x z + + 3 2 2 3 2 2 2 2 3 + + 1/288 y x z + 1/864 y z + 1/1728 y z + 1/576 x y z + + 2 2 3 2 3 3 3 2 2 + + 1/576 x y z - 1/216 y x z - 1/1728 z y - 1/1728 y z - 1/864 y z + + 2 2 3 2 + - 1/432 x y z, COEFF(-1, 3, -2) = - 1/216 y z + 5/144 y x z + + 3 2 3 3 2 2 2 3 + + 7/576 y x z + 1/216 z y - 7/576 x y z + 5/288 x y z + + 3 3 3 2 2 2 2 2 + - 5/288 z y x - 5/288 y x z + 7/288 x y z - 5/144 x y z + + 3 2 2 3 2 2 2 2 3 + - 1/108 y z - 1/216 y z + 1/108 y z - 7/576 x y z + + 3 2 2 3 2 3 3 2 + - 7/288 y x z + 7/576 z y x + 1/216 y z + 5/288 x y z, + + 3 2 3 3 2 2 3 2 + COEFF(0, 3, -2) = - 1/36 y x z + 1/18 y x z - 1/36 z y x + + 2 2 2 2 2 3 3 3 + + 7/108 x y z + 1/36 x y z - 7/216 x y z + 7/216 y x z + + 3 2 2 2 2 2 2 3 + + 7/216 z y x - 7/216 x y z - 1/18 x y z + 1/36 x y z + + 3 2 3 3 3 + - 7/108 y x z , COEFF(1, 3, -2) = - 5/216 z y x - 5/216 y x z + + 2 3 3 2 2 2 3 + + 1/216 y z + 1/36 z y x + 5/216 x y z + 5/216 x y z + + 3 2 2 2 2 3 3 2 2 + - 1/18 y x z - 1/36 x y z + 5/108 y x z + 1/216 y z + + 2 2 2 2 3 2 3 3 2 2 2 + - 5/108 x y z - 1/108 y z + 1/36 y x z - 1/216 z y + 1/18 x y z + + 3 2 2 2 3 3 + + 1/108 y z - 1/36 x y z - 1/216 y z , COEFF(2, 3, -2) = + + 2 2 2 3 2 2 2 2 + - 7/288 x y z + 1/1728 z y + 1/72 x y z - 1/144 x y z - 1/1728 y z + + 2 3 2 3 3 2 2 2 3 + - 1/144 x y z - 1/1728 y z - 1/864 y z + 7/576 x y z + + 3 2 3 3 3 3 3 2 3 + - 1/72 y x z + 1/1728 y z + 1/144 y x z - 7/576 y x z + + 2 2 3 2 2 3 2 3 + + 7/576 x y z + 7/288 y x z - 7/576 z y x + 1/144 z y x + + 2 2 2 3 3 2 2 + + 1/864 y z , COEFF(3, 3, -2) = 1/864 x y z - 1/288 y x z + + 2 2 2 2 3 2 2 2 3 + + 1/288 x y z + 1/864 x y z + 1/432 y x z - 1/576 x y z + + 3 3 3 2 3 2 2 3 2 + - 1/864 y x z + 1/576 y x z - 1/432 x y z + 1/576 z y x + + 2 2 3 2 + - 1/576 x y z - 1/864 z y x, COEFF(-2, -2, -1) = 1/108 y z - 1/216 y z + + 3 2 2 2 2 + - 1/216 z y + 5/72 x y z + 1/54 x y z - 1/72 x y z - 1/27 x y z + + 2 2 2 2 2 2 2 2 + + 1/36 x y z + 5/192 x y z - 5/144 x y z - 5/96 x y z + + 2 3 3 3 2 3 3 + - 7/576 x y z + 7/432 x y z - 7/576 y x z + 1/54 z y x + + 3 2 2 3 2 2 3 3 3 + - 1/72 z y x - 7/216 x y z + 7/288 x y z + 7/432 y x z + + 2 3 3 3 3 2 3 + + 7/864 y z - 7/1728 y z - 5/144 y x z - 7/1728 y z + + 3 2 2 3 2 2 2 2 + + 5/192 y x z + 5/576 y z + 5/576 y z - 5/288 y z , + + 2 3 25 2 2 + COEFF(-1, -2, -1) = - 2/27 y z + 1/27 y z + 1/27 z y - -- x y z + 48 + + 2 2 2 2 35 2 2 + - 5/36 x y z + 7/72 x y z + 5/18 x y z - 7/36 x y z - --- x y z + 192 + + 25 2 35 2 2 2 49 2 3 35 3 49 3 2 3 + + -- x y z + -- x y z + --- x y z - --- x y z + --- y x z + 96 96 576 288 576 + + 3 3 2 35 2 3 49 2 2 3 35 3 3 + - 5/36 z y x + 7/72 z y x + --- x y z - --- x y z - --- y x z + 144 288 288 + + 2 3 3 3 25 3 2 3 35 3 2 2 + - 7/108 y z + 7/216 y z + -- y x z + 7/216 y z - --- y x z + 96 192 + + 3 2 2 2 2 + - 5/72 y z - 5/72 y z + 5/36 y z , COEFF(0, -2, -1) = 7/27 x y z + + 2 2 2 2 2 3 2 3 3 2 3 + + 4/9 x y z - 5/6 x y z - 2/9 z y x + 7/27 z y x - 7/36 y x z + + 2 2 35 2 2 3 2 2 35 2 49 3 3 + + 5/12 x y z + -- x y z + 5/12 y x z - -- x y z + --- y x z + 36 72 216 + + 49 3 2 2 3 14 2 49 2 3 + + --- x y z - 2/9 x y z - 7/36 x y z - -- x y z - --- x y z + 216 27 108 + + 2 2 3 35 3 2 2 + + 7/18 x y z - -- y x z , COEFF(1, -2, -1) = 2/27 y z - 1/27 y z + 72 + + 3 25 2 2 2 10 2 + - 1/27 z y - -- x y z - 5/27 x y z + 2/9 x y z + -- x y z + 36 27 + + 2 2 2 2 25 2 2 2 2 2 3 + - 4/9 x y z - 5/12 x y z + -- x y z + 5/6 x y z + 7/36 x y z + 72 + + 35 3 3 2 3 3 3 2 35 2 3 + - --- x y z + 7/36 y x z - 5/27 z y x + 2/9 z y x + --- x y z + 216 108 + + 2 2 3 35 3 3 2 3 3 3 25 3 2 + - 7/18 x y z - --- y x z + 7/108 y z - 7/216 y z + -- y x z + 216 72 + + 3 3 2 2 3 2 2 2 2 + - 7/216 y z - 5/12 y x z + 5/72 y z + 5/72 y z - 5/36 y z , + + 2 3 2 2 + COEFF(2, -2, -1) = - 1/108 y z + 1/216 y z + 1/216 z y + 5/24 x y z + + 2 2 2 2 35 2 2 + + 1/18 x y z - 7/72 x y z - 1/9 x y z + 7/36 x y z + --- x y z + 192 + + 2 35 2 2 2 49 2 3 3 49 3 2 3 + - 5/48 x y z - -- x y z - --- x y z + 7/144 x y z - --- y x z + 96 576 576 + + 3 3 2 2 3 49 2 2 3 3 3 + + 1/18 z y x - 7/72 z y x - 7/72 x y z + --- x y z + 7/144 y x z + 288 + + 2 3 3 3 3 2 3 35 3 2 2 + - 7/864 y z + 7/1728 y z - 5/48 y x z + 7/1728 y z + --- y x z + 192 + + 3 2 2 2 2 + - 5/576 y z - 5/576 y z + 5/288 y z , COEFF(3, -2, -1) = + + 3 2 3 3 2 3 3 2 + - 1/108 z y x + 7/432 x y z + 7/576 y x z + 5/288 y x z + + 2 2 3 2 2 2 2 2 + - 7/288 x y z - 1/108 x y z + 1/54 x y z + 1/72 x y z + 5/96 x y z + + 3 2 2 2 2 3 3 + + 1/72 z y x - 5/144 x y z + 5/288 x y z - 7/864 y x z + + 3 2 2 3 2 3 2 2 + - 5/192 y x z - 7/864 x y z + 7/576 x y z - 1/36 x y z + + 2 2 2 3 + - 5/192 x y z , COEFF(-2, -1, -1) = - 5/72 y z + 1/27 y z + 7/216 z y + + 25 2 2 2 2 2 2 + - -- x y z - 4/27 x y z + 1/9 x y z + 5/18 x y z - 5/24 x y z + 48 + + 2 2 2 25 2 2 2 2 3 3 + - 5/24 x y z + 5/18 x y z + -- x y z + 7/72 x y z - 7/54 x y z + 64 + + 49 3 2 3 3 3 2 35 2 3 35 2 2 3 + + --- y x z - 7/54 z y x + 7/72 z y x + --- x y z - --- x y z + 576 144 192 + + 49 3 3 35 2 3 49 3 3 35 3 2 3 + - --- y x z - --- y z + ---- y z + --- y x z + 7/216 y z + 432 576 1728 144 + + 35 3 2 2 35 3 2 2 25 2 2 + - --- y x z - --- y z - 5/72 y z + --- y z , COEFF(-1, -1, -1) = + 192 576 192 + + 2 3 125 2 2 2 + 5/9 y z - 8/27 y z - 7/27 z y + --- x y z + 10/9 x y z - 7/9 x y z + 32 + + 25 2 35 2 2 35 2 2 25 2 175 2 2 2 + - -- x y z + -- x y z + -- x y z - -- x y z - --- x y z + 12 24 24 12 64 + + 49 2 3 35 3 343 3 2 3 35 3 49 3 2 + - -- x y z + -- x y z - --- y x z + -- z y x - -- z y x + 72 36 576 36 72 + + 175 2 3 245 2 2 3 245 3 3 35 2 3 49 3 3 + - --- x y z + --- x y z + --- y x z + -- y z - --- y z + 96 192 288 72 216 + + 175 3 2 3 245 3 2 2 35 3 2 2 25 2 2 + - --- y x z - 7/27 y z + --- y x z + -- y z + 5/9 y z - -- y z , + 96 192 72 24 + + 2 2 2 2 49 3 2 3 49 3 + COEFF(0, -1, -1) = 25/4 x y z + 16/9 x y z + -- y x z - -- z y x + 36 27 + + 2 2 56 2 3 2 245 3 2 + - 10/3 x y z - -- x y z + 14/9 x y z + 35/9 x y z + --- y x z + 27 72 + + 245 2 3 175 2 2 2 2 343 3 3 35 3 2 2 + + --- x y z - --- x y z - 10/3 x y z - --- y x z - -- y x z + 72 24 216 12 + + 2 35 2 2 3 3 2 49 3 + + 35/9 x y z - -- x y z + 14/9 z y x - -- x y z , COEFF(1, -1, -1) + 12 27 + + 2 3 125 2 2 40 2 + = - 5/9 y z + 8/27 y z + 7/27 z y + --- x y z + -- x y z - 16/9 x y z + 24 27 + + 2 2 2 2 2 2 2 2 2 + - 25/9 x y z + 10/3 x y z + 10/3 x y z - 25/9 x y z - 25/4 x y z + + 2 3 35 3 49 3 2 3 35 3 3 2 + - 14/9 x y z + -- x y z - -- y x z + -- z y x - 14/9 z y x + 27 36 27 + + 175 2 3 35 2 2 3 245 3 3 35 2 3 49 3 3 + - --- x y z + -- x y z + --- y x z - -- y z + --- y z + 72 12 216 72 216 + + 175 3 2 3 35 3 2 2 35 3 2 2 25 2 2 + - --- y x z + 7/27 y z + -- y x z - -- y z - 5/9 y z + -- y z , + 72 12 72 24 + + 2 3 25 2 2 + COEFF(2, -1, -1) = 5/72 y z - 1/27 y z - 7/216 z y - -- x y z + 16 + + 2 2 35 2 2 35 2 2 + - 4/9 x y z + 7/9 x y z + 5/6 x y z - -- x y z - -- x y z + 24 24 + + 2 175 2 2 2 49 2 3 3 343 3 2 3 + + 5/6 x y z + --- x y z + -- x y z - 7/18 x y z + --- y x z + 64 72 576 + + 3 49 3 2 35 2 3 245 2 2 3 49 3 3 + - 7/18 z y x + -- z y x + -- x y z - --- x y z - --- y x z + 72 48 192 144 + + 35 2 3 49 3 3 35 3 2 3 245 3 2 2 + + --- y z - ---- y z + -- y x z - 7/216 y z - --- y x z + 576 1728 48 192 + + 35 3 2 2 25 2 2 2 2 + + --- y z + 5/72 y z - --- y z , COEFF(3, -1, -1) = 5/24 x y z + 576 192 + + 2 3 2 35 2 2 3 35 3 2 2 3 + - 5/36 x y z - 7/72 z y x + --- x y z - --- y x z - 7/72 x y z + 192 288 + + 49 3 3 25 2 2 35 3 2 2 3 25 2 2 2 + + --- y x z + -- x y z + --- y x z + 7/108 x y z - -- x y z + 864 96 192 64 + + 2 2 3 2 2 + - 1/9 x y z - 5/36 x y z + 7/108 z y x + 2/27 x y z + 5/24 x y z + + 49 3 2 3 35 2 3 2 2 + - --- y x z - --- x y z , COEFF(-2, 0, -1) = 7/54 y z - 1/6 x z + 576 288 + + 2 3 3 35 2 2 + + 2/9 x z - 1/18 z + 5/48 z - 7/144 z - 2/27 z y + -- x y z + 36 + + 14 2 2 2 35 2 2 2 3 2 3 3 + - -- x y z + 7/18 x y z - -- x y z - 7/36 y x z + 8/27 z y x + 27 48 + + 3 2 49 2 3 49 2 2 3 3 3 2 3 + - 2/9 z y x - --- x y z + --- x y z + 7/27 y x z - 7/48 x z + 108 144 + + 49 2 3 3 3 2 2 2 3 2 + + --- y z - 7/108 y z - 5/12 x z + 5/16 x z - 5/9 y x z + 432 + + 3 2 2 3 2 3 35 2 2 + + 5/12 y x z + 5/36 y z + 7/36 x z - --- y z , COEFF(-1, 0, -1) = + 144 + + 28 2 2 2 3 16 3 + - -- y z + 7/6 x z - 5/3 x z + 4/9 z - 5/6 z + 7/18 z + -- z y + 27 27 + + 175 2 2 2 49 2 2 245 2 2 2 49 3 2 3 + - --- x y z + 35/9 x y z - -- x y z + --- x y z + -- y x z + 24 18 48 36 + + 3 3 2 245 2 3 343 2 2 3 35 3 3 + - 20/9 z y x + 14/9 z y x + --- x y z - --- x y z - -- y x z + 72 144 18 + + 49 2 3 49 2 3 14 3 3 2 35 2 2 3 2 + + -- x z - -- y z + -- y z + 25/8 x z - -- x z + 25/6 y x z + 48 54 27 16 + + 35 3 2 2 3 2 35 3 35 2 2 49 3 + - -- y x z - 10/9 y z - -- x z + -- y z , COEFF(0, 0, -1) = -- x z + 12 24 18 18 + + 245 2 2 343 2 3 196 2 3 2 2 2 3 + + --- x y z - --- x y z - --- x y z + 20/3 y x z - 7/3 x z + 18 54 27 + + 2 2 2 112 3 2 2 3 2 3 + + 5 x z - 35/6 x z + --- z y x + 56/9 x y z - 28/9 y x z + 27 + + 3 2 2 2 2 98 3 3 2 2 3 + - 32/9 z y x - 35/3 x y z + -- y x z + 49/9 x y z + 28/9 x z + 27 + + 2 3 2 28 2 2 + - 8/3 x z - 70/9 y x z , COEFF(1, 0, -1) = -- y z + 8/3 x z - 20/9 x z + 27 + + 2 3 16 3 175 2 2 140 2 + - 4/9 z + 5/6 z - 7/18 z - -- z y - --- x y z + --- x y z + 27 18 27 + + 2 2 2 2 2 3 2 3 80 3 3 2 + - 56/9 x y z + 35/3 x y z + 28/9 y x z - -- z y x + 32/9 z y x + 27 + + 245 2 3 2 2 3 70 3 3 2 3 49 2 3 + + --- x y z - 49/9 x y z - -- y x z + 7/3 x z + -- y z + 54 27 54 + + 14 3 3 2 2 2 3 2 3 2 2 + - -- y z + 25/6 x z - 5 x z + 50/9 y x z - 20/3 y x z + 27 + + 3 2 35 3 35 2 2 2 + + 10/9 y z - -- x z - -- y z , COEFF(2, 0, -1) = - 7/54 y z + 18 18 + + 2 2 3 3 + - 7/6 x z + 2/3 x z + 1/18 z - 5/48 z + 7/144 z + 2/27 z y + + 35 2 2 2 49 2 2 245 2 2 2 49 3 2 3 + + -- x y z - 14/9 x y z + -- x y z - --- x y z - -- y x z + 12 18 48 36 + + 3 3 2 49 2 3 343 2 2 3 3 3 + + 8/9 z y x - 14/9 z y x - -- x y z + --- x y z + 7/9 y x z + 36 144 + + 49 2 3 49 2 3 3 3 2 35 2 2 3 2 + - -- x z - --- y z + 7/108 y z - 5/4 x z + -- x z - 5/3 y x z + 48 432 16 + + 35 3 2 2 3 2 3 35 2 2 + + -- y x z - 5/36 y z + 7/12 x z + --- y z , COEFF(3, 0, -1) = + 12 144 + + 35 2 2 3 49 2 3 3 3 + - 1/9 x z - -- x y z - 4/27 z y x + --- x y z - 7/54 y x z + 72 216 + + 2 2 2 2 2 35 2 2 2 3 + - 7/18 x y z - 5/16 x z + 1/6 x z + -- x y z - 7/72 x z + 48 + + 2 3 3 2 3 2 2 3 2 3 + + 7/48 x z + 2/9 z y x + 5/18 y x z + 5/24 x z + 7/36 y x z + + 49 2 2 3 3 2 2 2 + - --- x y z - 5/12 y x z + 7/27 x y z, COEFF(-2, 1, -1) = + 144 + + 2 3 25 2 2 2 + - 5/54 y z - 1/27 y z + 2/27 z y - -- x y z + 4/27 x y z - 1/9 x y z + 36 + + 10 2 2 2 2 2 2 25 2 2 2 + + -- x y z - 5/18 x y z + 5/24 x y z - 5/18 x y z + -- x y z + 27 48 + + 2 3 3 3 2 3 3 3 2 + - 7/72 x y z + 7/54 x y z + 7/36 y x z - 8/27 z y x + 2/9 z y x + + 35 2 3 35 2 2 3 3 3 35 2 3 3 3 + + --- x y z - --- x y z - 7/27 y x z - --- y z + 7/108 y z + 108 144 432 + + 3 2 3 3 2 2 3 2 2 + + 5/9 y x z - 7/216 y z - 5/12 y x z - 5/36 y z + 5/72 y z + + 25 2 2 20 2 16 3 125 2 2 + + --- y z , COEFF(-1, 1, -1) = -- y z + 8/27 y z - -- z y + --- x y z + 144 27 27 24 + + 2 2 35 2 2 35 2 2 + - 10/9 x y z + 7/9 x y z - 25/9 x y z + -- x y z - -- x y z + 18 24 + + 25 2 175 2 2 2 49 2 3 35 3 49 3 2 3 + + -- x y z - --- x y z + -- x y z - -- x y z - -- y x z + 12 48 72 36 36 + + 3 3 2 175 2 3 245 2 2 3 35 3 3 + + 20/9 z y x - 14/9 z y x - --- x y z + --- x y z + -- y x z + 72 144 18 + + 35 2 3 14 3 3 3 2 3 35 3 2 2 + + -- y z - -- y z - 25/6 y x z + 7/27 y z + -- y x z + 54 27 12 + + 3 2 2 25 2 2 2 2 3 + + 10/9 y z - 5/9 y z - -- y z , COEFF(0, 1, -1) = - 35/9 x y z + 18 + + 2 3 49 3 2 2 2 3 2 3 2 2 + - 14/9 x y z + -- x y z + 25/3 x y z + 28/9 y x z - 40/9 x y z + 27 + + 98 3 3 2 2 2 245 2 3 56 + - -- y x z - 16/9 x y z + 10/3 x y z + --- x y z + -- x y z + 27 54 27 + + 2 3 2 2 3 2 3 2 112 3 + - 35/9 x y z - 20/3 y x z + 70/9 y x z + 32/9 z y x - --- z y x + 27 + + 175 2 2 140 2 20 2 + - --- x y z + --- x y z, COEFF(1, 1, -1) = - -- y z - 8/27 y z + 18 27 27 + + 16 3 125 2 2 40 2 100 2 + + -- z y + --- x y z - -- x y z + 16/9 x y z - --- x y z + 27 18 27 27 + + 2 2 2 2 2 2 2 2 2 3 + + 40/9 x y z - 10/3 x y z + 25/9 x y z - 25/3 x y z + 14/9 x y z + + 35 3 3 2 3 80 3 3 2 175 2 3 + - -- x y z - 28/9 y x z + -- z y x - 32/9 z y x - --- x y z + 27 27 54 + + 2 2 3 70 3 3 35 2 3 14 3 3 3 2 + + 35/9 x y z + -- y x z - -- y z + -- y z - 50/9 y x z + 27 54 27 + + 3 3 2 2 3 2 2 25 2 2 + - 7/27 y z + 20/3 y x z - 10/9 y z + 5/9 y z + -- y z , + 18 + + 2 3 25 2 2 + COEFF(2, 1, -1) = 5/54 y z + 1/27 y z - 2/27 z y - -- x y z + 4/9 x y z + 12 + + 2 2 35 2 2 35 2 2 2 + - 7/9 x y z + 10/9 x y z - -- x y z + -- x y z - 5/6 x y z + 18 24 + + 175 2 2 2 49 2 3 3 49 3 2 3 3 + + --- x y z - -- x y z + 7/18 x y z + -- y x z - 8/9 z y x + 48 72 36 + + 3 2 35 2 3 245 2 2 3 3 3 35 2 3 + + 14/9 z y x + -- x y z - --- x y z - 7/9 y x z + --- y z + 36 144 432 + + 3 3 3 2 3 35 3 2 2 3 2 + - 7/108 y z + 5/3 y x z + 7/216 y z - -- y x z + 5/36 y z + 12 + + 2 25 2 2 3 2 3 25 2 2 2 + - 5/72 y z - --- y z , COEFF(3, 1, -1) = - 7/36 y x z - -- x y z + 144 48 + + 25 2 2 2 3 3 2 35 2 3 + + -- x y z + 5/36 x y z + 7/54 y x z - 5/27 x y z - --- x y z + 72 216 + + 2 2 3 2 3 2 2 3 2 2 3 + - 5/24 x y z - 5/18 y x z + 5/12 y x z - 2/9 z y x + 7/72 x y z + + 3 2 3 2 2 + + 4/27 z y x - 2/27 x y z + 1/9 x y z - 7/108 x y z + 5/18 x y z + + 35 2 2 3 2 3 + + --- x y z , COEFF(-2, 2, -1) = 1/36 y z + 1/216 y z - 7/216 z y + 144 + + 2 2 2 2 2 2 + + 5/24 x y z - 1/54 x y z + 1/72 x y z - 1/9 x y z + 1/12 x y z + + 2 2 2 2 2 2 2 3 + - 5/192 x y z + 5/144 x y z - 5/32 x y z + 7/576 x y z + + 3 49 3 2 3 3 3 2 2 3 + - 7/432 x y z - --- y x z + 7/54 z y x - 7/72 z y x - 7/72 x y z + 576 + + 2 2 3 49 3 3 2 3 49 3 3 35 3 2 + + 7/96 x y z + --- y x z + 7/288 y z - ---- y z - --- y x z + 432 1728 144 + + 3 35 3 2 2 35 3 2 2 2 2 + + 7/1728 y z + --- y x z + --- y z - 5/576 y z - 5/96 y z , + 192 576 + + 2 3 25 2 2 + COEFF(-1, 2, -1) = - 2/9 y z - 1/27 y z + 7/27 z y - -- x y z + 16 + + 2 2 2 2 35 2 2 + + 5/36 x y z - 7/72 x y z + 5/6 x y z - 7/12 x y z + --- x y z + 192 + + 25 2 35 2 2 2 49 2 3 35 3 343 3 2 3 + - -- x y z + -- x y z - --- x y z + --- x y z + --- y x z + 96 32 576 288 576 + + 35 3 49 3 2 35 2 3 49 2 2 3 245 3 3 + - -- z y x + -- z y x + -- x y z - -- x y z - --- y x z + 36 72 48 96 288 + + 2 3 49 3 3 175 3 2 3 245 3 2 2 + - 7/36 y z + --- y z + --- y x z - 7/216 y z - --- y x z + 216 96 192 + + 35 3 2 2 2 2 49 2 3 + - -- y z + 5/72 y z + 5/12 y z , COEFF(0, 2, -1) = - -- x y z + 72 36 + + 245 3 2 35 2 35 2 2 3 2 2 2 3 + - --- y x z + -- x y z + -- x y z - 14/9 z y x + 7/6 x y z + 72 72 12 + + 49 3 49 3 2 3 2 2 2 2 + + -- z y x - -- y x z - 7/27 x y z - 5/2 x y z + 2/9 x y z + 27 36 + + 2 2 2 3 35 3 2 2 2 49 3 + - 5/12 x y z + 7/36 x y z + -- y x z - 14/9 x y z - --- x y z + 12 216 + + 2 2 343 3 3 2 + + 4/3 x y z + --- y x z , COEFF(1, 2, -1) = 2/9 y z + 1/27 y z + 216 + + 3 25 2 2 2 2 + - 7/27 z y - -- x y z + 5/27 x y z - 2/9 x y z + 10/9 x y z + 12 + + 2 2 2 2 25 2 2 2 2 2 3 + - 4/3 x y z + 5/12 x y z - -- x y z + 5/2 x y z - 7/36 x y z + 72 + + 35 3 49 3 2 3 35 3 3 2 35 2 3 + + --- x y z + -- y x z - -- z y x + 14/9 z y x + -- x y z + 216 36 27 36 + + 2 2 3 245 3 3 2 3 49 3 3 175 3 2 + - 7/6 x y z - --- y x z + 7/36 y z - --- y z + --- y x z + 216 216 72 + + 3 35 3 2 2 35 3 2 2 2 2 + + 7/216 y z - -- y x z + -- y z - 5/72 y z - 5/12 y z , + 12 72 + + 2 3 2 2 + COEFF(2, 2, -1) = - 1/36 y z - 1/216 y z + 7/216 z y + 5/8 x y z + + 2 2 2 2 35 2 2 + - 1/18 x y z + 7/72 x y z - 1/3 x y z + 7/12 x y z - --- x y z + 192 + + 2 35 2 2 2 49 2 3 3 343 3 2 3 + + 5/48 x y z - -- x y z + --- x y z - 7/144 x y z - --- y x z + 32 576 576 + + 3 49 3 2 2 3 49 2 2 3 49 3 3 + + 7/18 z y x - -- z y x - 7/24 x y z + -- x y z + --- y x z + 72 96 144 + + 2 3 49 3 3 35 3 2 3 245 3 2 2 + - 7/288 y z + ---- y z - -- y x z - 7/1728 y z + --- y x z + 1728 48 192 + + 35 3 2 2 2 2 3 + - --- y z + 5/576 y z + 5/96 y z , COEFF(3, 2, -1) = - 7/108 z y x + 576 + + 2 49 3 2 3 2 3 2 2 + - 1/72 x y z + --- y x z + 7/144 x y z + 5/192 x y z + 576 + + 2 3 3 2 2 3 3 2 + - 7/576 x y z + 7/864 x y z - 7/96 x y z + 7/72 z y x + + 2 2 2 35 3 2 2 2 2 + + 1/18 x y z + 1/108 x y z - 5/48 x y z + --- y x z + 5/32 x y z + 288 + + 49 3 3 35 3 2 2 2 2 2 + - --- y x z - --- y x z - 1/12 x y z - 5/288 x y z , + 864 192 + + 2 2 3 3 3 3 + COEFF(-2, 3, -1) = 1/54 x y z - 7/1728 y z - 1/54 z y x + 7/1728 y z + + 2 2 2 2 3 2 2 3 2 3 + - 5/144 x y z - 7/576 x y z + 5/576 y z + 7/576 y x z + + 2 2 2 3 3 3 3 2 + - 1/216 y z - 1/72 x y z - 7/432 y x z + 1/216 z y - 5/576 y z + + 2 3 3 2 3 2 2 2 2 2 + + 7/432 x y z + 5/144 y x z - 5/192 y x z + 5/192 x y z + + 3 2 2 35 3 2 2 + + 1/72 z y x , COEFF(-1, 3, -1) = - 5/36 x y z + --- y x z + 192 + + 3 2 2 2 2 3 25 2 2 49 2 2 3 + + 5/72 y z - 5/72 y z + 7/216 y z + -- x y z + --- x y z + 96 576 + + 35 2 2 2 2 2 3 3 35 3 3 + - --- x y z + 7/72 x y z + 5/36 z y x - 1/27 z y + --- y x z + 192 288 + + 49 3 2 3 25 3 2 3 2 3 3 2 + - --- y x z - -- y x z - 7/72 z y x - 7/216 y z + 1/27 y z + 576 96 + + 35 2 3 2 2 2 2 2 2 + - --- x y z , COEFF(0, 3, -1) = 5/12 x y z + 7/27 x y z - 2/9 x y z + 288 + + 3 2 3 2 2 3 49 2 3 3 2 2 + + 7/36 y x z - 7/36 x y z + --- x y z - 5/12 y x z + 216 + + 3 2 35 3 2 35 2 2 3 49 3 3 + + 2/9 z y x + -- y x z - -- x y z - 7/27 z y x - --- y x z , + 72 72 216 + + 2 2 3 35 2 3 25 3 2 2 2 + COEFF(1, 3, -1) = 7/36 x y z - --- x y z - -- y x z + 5/72 y z + 216 72 + + 2 2 2 3 2 3 3 2 + - 1/27 y z + 2/9 x y z - 2/9 z y x + 1/27 z y - 5/72 y z + + 3 2 3 2 3 2 2 2 2 2 + - 7/36 y x z - 5/27 x y z + 5/12 y x z - 5/12 x y z + + 35 3 3 2 3 25 2 2 3 3 3 + + --- y x z - 7/216 y z + -- x y z + 7/216 y z + 5/27 z y x, + 216 72 + + 3 2 3 2 3 3 3 + COEFF(2, 3, -1) = 7/72 z y x - 1/216 z y + 7/144 x y z - 7/1728 y z + + 49 3 2 3 49 2 2 3 3 2 3 3 3 + + --- y x z - --- x y z + 5/48 y x z - 7/144 y x z - 1/18 z y x + 576 576 + + 2 2 35 3 2 2 2 2 2 3 + - 7/72 x y z - --- y x z + 1/216 y z + 1/18 x y z + 7/1728 y z + 192 + + 2 2 35 2 2 2 2 2 3 2 + - 5/576 y z + --- x y z - 5/48 x y z + 5/576 y z , COEFF(3, 3, -1) + 192 + + 2 2 3 3 2 2 2 2 + = 5/288 x y z + 1/108 z y x - 1/72 z y x - 5/192 x y z + + 2 2 2 3 2 3 2 3 + - 1/108 x y z + 1/72 x y z - 5/288 y x z - 7/576 y x z + + 2 2 3 2 3 3 2 2 3 3 + + 7/576 x y z - 7/864 x y z + 5/192 y x z + 7/864 y x z , + + 3 3 2 2 + COEFF(-2, -2, 0) = 1/144 y - 1/36 y x + 1/48 y x - 1/72 y + + 2 2 3 2 2 2 2 2 + - 7/54 x y z + 1/144 y - 1/24 x y - 7/144 x y z + 1/48 x y + + 2 2 2 2 2 2 3 + + 7/108 x y z + 7/72 x y z + 1/18 x y - 1/36 x y + 1/36 x y z + + 3 3 2 3 2 3 2 2 3 + - 1/27 x y z + 1/36 y x z + 2/27 x y z - 1/18 x y z + + 3 3 2 3 3 3 3 2 3 + - 1/27 y x z - 1/54 y z + 1/108 y z + 7/108 y x z + 1/108 y z + + 3 2 2 3 2 2 2 2 + - 7/144 y x z - 7/432 y z - 7/432 y z + 7/216 y z , + + 3 3 2 2 35 2 2 + COEFF(-1, -2, 0) = - 1/18 y + 5/24 y x - 7/48 y x + 1/9 y + -- x y z + 36 + + 3 2 2 49 2 2 2 35 2 49 2 2 2 + - 1/18 y + 7/24 x y + --- x y z - 7/48 x y - -- x y z - -- x y z + 144 72 72 + + 2 2 3 3 3 2 3 + - 5/12 x y + 5/24 x y - 7/36 x y z + 5/18 x y z - 7/36 y x z + + 2 3 2 2 3 3 3 2 3 3 3 + - 5/9 x y z + 7/18 x y z + 5/18 y x z + 4/27 y z - 2/27 y z + + 35 3 2 3 49 3 2 2 3 2 2 + - -- y x z - 2/27 y z + --- y x z + 7/54 y z + 7/54 y z + 72 144 + + 2 2 2 2 49 2 2 + - 7/27 y z , COEFF(0, -2, 0) = - 7/9 x y z + -- x y z + 1/3 x y + 54 + + 14 3 3 2 49 2 2 3 2 3 + - -- y x z + 7/9 x y - -- x y z - 7/18 x y + 4/9 y x z + 27 27 + + 2 2 2 3 14 3 3 2 3 2 2 + + 14/9 x y z - 7/18 y x - -- x y z + 1/3 y x - 7/9 y x z + 27 + + 2 2 3 28 2 3 2 2 2 3 49 3 2 + - 8/9 x y z + -- x y z - 2/3 x y + 4/9 x y z + -- y x z , + 27 54 + + 3 3 2 2 35 2 2 + COEFF(1, -2, 0) = 1/18 y + 5/18 y x - 1/3 y x - 1/9 y + -- x y z + 27 + + 3 2 2 2 2 2 35 2 2 2 2 + + 1/18 y + 2/3 x y + 7/9 x y z - 1/3 x y - -- x y z - 14/9 x y z + 54 + + 2 2 3 10 3 3 2 3 + - 5/9 x y + 5/18 x y - 4/9 x y z + -- x y z - 4/9 y x z + 27 + + 20 2 3 2 2 3 10 3 3 2 3 3 3 + - -- x y z + 8/9 x y z + -- y x z - 4/27 y z + 2/27 y z + 27 27 + + 35 3 2 3 3 2 2 3 2 2 + - -- y x z + 2/27 y z + 7/9 y x z - 7/54 y z - 7/54 y z + 54 + + 2 2 3 3 2 + + 7/27 y z , COEFF(2, -2, 0) = - 1/144 y - 1/12 y x + 7/48 y x + + 2 2 2 3 2 2 49 2 2 2 + + 1/72 y - 7/18 x y z - 1/144 y - 7/24 x y - --- x y z + 7/48 x y + 144 + + 2 49 2 2 2 2 2 3 + + 7/36 x y z + -- x y z + 1/6 x y - 1/12 x y + 7/36 x y z + 72 + + 3 3 2 3 2 3 2 2 3 3 3 + - 1/9 x y z + 7/36 y x z + 2/9 x y z - 7/18 x y z - 1/9 y x z + + 2 3 3 3 3 2 3 49 3 2 2 + + 1/54 y z - 1/108 y z + 7/36 y x z - 1/108 y z - --- y x z + 144 + + 3 2 2 2 2 2 2 + + 7/432 y z + 7/432 y z - 7/216 y z , COEFF(3, -2, 0) = 7/108 x y z + + 2 2 2 2 2 3 2 3 2 + - 1/48 x y + 7/144 x y z + 1/18 x y z - 1/36 x y z - 7/216 x y z + + 3 3 2 2 3 2 3 2 3 2 + + 1/54 y x z + 1/24 x y - 1/48 y x - 1/36 y x z - 1/36 x y + + 3 2 3 2 2 2 3 2 + + 1/54 x y z + 1/72 x y - 1/27 x y z - 7/72 x y z - 7/216 y x z + + 3 2 2 3 3 + + 7/144 y x z + 1/72 y x, COEFF(-2, -1, 0) = - 1/18 y + 7/36 y x + + 3 2 2 35 2 2 3 2 2 2 2 + - 7/48 y x + 5/48 y + -- x y z - 7/144 y + 5/16 x y + 7/18 x y z + 36 + + 2 14 2 35 2 2 2 2 2 3 + - 1/6 x y - -- x y z - -- x y z - 5/12 x y + 2/9 x y - 2/9 x y z + 27 48 + + 3 3 2 3 2 3 2 2 3 3 3 + + 8/27 x y z - 7/36 y x z - 5/9 x y z + 5/12 x y z + 7/27 y x z + + 2 3 3 3 49 3 2 3 49 3 2 2 + + 5/36 y z - 7/108 y z - --- y x z - 2/27 y z + --- y x z + 108 144 + + 49 3 2 2 35 2 2 35 3 + + --- y z + 7/54 y z - --- y z , COEFF(-1, -1, 0) = 4/9 y - -- y x + 432 144 24 + + 49 3 2 2 175 2 2 3 35 2 2 49 2 2 + + -- y x - 5/6 y - --- x y z + 7/18 y - -- x y - -- x y z + 48 24 16 18 + + 2 2 245 2 2 2 2 + + 7/6 x y + 35/9 x y z + --- x y z + 25/8 x y - 5/3 x y + 48 + + 2 3 3 49 3 2 3 2 3 35 2 2 3 + + 14/9 x y z - 20/9 x y z + -- y x z + 25/6 x y z - -- x y z + 36 12 + + 35 3 3 2 3 14 3 3 245 3 2 16 3 + - -- y x z - 10/9 y z + -- y z + --- y x z + -- y z + 18 27 72 27 + + 343 3 2 2 49 3 2 28 2 35 2 2 + - --- y x z - -- y z - -- y z + -- y z , COEFF(0, -1, 0) = + 144 54 27 18 + + 2 2 2 2 3 3 2 2 98 3 3 2 2 + - 35/3 x y z - 70/9 x y z + 49/9 y x z + -- y x z + 5 x y + 27 + + 3 2 3 2 3 343 3 2 2 49 3 + - 7/3 y x - 28/9 y x z - --- y x z - 35/6 x y + -- y x + 54 18 + + 2 2 2 2 3 2 2 3 + + 56/9 x y z + 20/3 x y z - 8/3 x y - 32/9 x y z + 28/9 x y + + 196 2 112 3 245 2 2 + - --- x y z + --- x y z + --- x y z , COEFF(1, -1, 0) = - 4/9 y + 27 27 18 + + 35 3 3 2 2 175 2 2 3 2 2 + - -- y x + 7/3 y x + 5/6 y - --- x y z - 7/18 y - 5 x y + 18 18 + + 2 2 2 140 2 2 2 2 2 + - 56/9 x y z + 8/3 x y + --- x y z + 35/3 x y z + 25/6 x y + 27 + + 2 3 80 3 3 2 3 2 3 + - 20/9 x y + 32/9 x y z - -- x y z + 28/9 y x z + 50/9 x y z + 27 + + 2 2 3 70 3 3 2 3 14 3 3 245 3 2 + - 20/3 x y z - -- y x z + 10/9 y z - -- y z + --- y x z + 27 27 54 + + 16 3 3 2 2 49 3 2 28 2 35 2 2 + - -- y z - 49/9 y x z + -- y z + -- y z - -- y z , COEFF(2, -1, 0) + 27 54 27 18 + + 3 49 3 2 2 35 2 2 3 + = 1/18 y + 7/12 y x - -- y x - 5/48 y + -- x y z + 7/144 y + 48 12 + + 35 2 2 49 2 2 2 2 245 2 2 2 2 + + -- x y + -- x y z - 7/6 x y - 14/9 x y z - --- x y z - 5/4 x y + 16 18 48 + + 2 3 3 49 3 2 3 2 3 + + 2/3 x y - 14/9 x y z + 8/9 x y z - -- y x z - 5/3 x y z + 36 + + 35 2 2 3 3 3 2 3 3 3 49 3 2 + + -- x y z + 7/9 y x z - 5/36 y z + 7/108 y z - -- y x z + 12 36 + + 3 343 3 2 2 49 3 2 2 35 2 2 + + 2/27 y z + --- y x z - --- y z - 7/54 y z + --- y z , + 144 432 144 + + 2 2 2 3 2 3 + COEFF(3, -1, 0) = 5/24 x y - 7/18 x y z - 4/27 x y z + 2/9 x y z + + 2 3 3 2 3 49 3 2 2 2 2 + + 1/6 x y - 7/72 y x + 7/36 y x z - --- y x z - 5/16 x y + 144 + + 2 2 3 49 3 2 2 3 3 + - 5/12 x y z + --- y x z + 7/27 x y z - 7/54 y x z - 1/9 x y + 216 + + 3 2 35 2 2 2 3 35 2 2 2 + + 7/48 y x - -- x y z + 5/18 x y z + -- x y z , COEFF(-2, 0, 0) = + 72 48 + + 2 3 3 3 2 2 2 + - 1/3 x + 1/12 - 7/36 z + 1/9 z - 4/9 y x + 1/3 y x + 1/4 x - 7/36 y + + 49 2 2 3 2 2 49 2 2 2 2 3 2 3 + - -- x y z + 1/9 y - 7/12 x y + -- x y z + 7/9 x y + 4/9 y x z + 27 36 + + 28 2 3 2 2 3 16 3 3 2 3 2 3 + + -- x y z - 7/9 x y z - -- y x z + 1/3 x z - 7/27 y z + 27 27 + + 3 3 2 2 2 28 3 2 3 2 2 + + 4/27 y z + 7/9 x z - 7/12 x z + -- y x z - 7/9 y x z + 27 + + 3 2 3 49 2 2 + - 7/27 y z - 4/9 x z + --- y z , COEFF(-1, 0, 0) = 5/2 x - 2/3 + 108 + + 2 3 3 3 2 2 2 + + 14/9 z - 8/9 z + 10/3 y x - 7/3 y x - 7/4 x + 14/9 y + + 245 2 2 3 49 2 2 343 2 2 2 2 + + --- x y z - 8/9 y + -- x y - --- x y z - 35/6 x y + 18 12 36 + + 3 2 3 2 3 2 2 3 3 3 2 3 + - 28/9 y x z - 70/9 x y z + 49/9 x y z + 40/9 y x z - 7/3 x z + + 56 2 3 32 3 3 2 49 2 2 3 2 + + -- y z - -- y z - 35/6 x z + -- x z - 70/9 y x z + 27 27 12 + + 3 2 2 56 3 2 3 98 2 2 + + 49/9 y x z + -- y z + 10/3 x z - -- y z , COEFF(0, 0, 0) = + 27 27 + + 3 2 3 2 3 2 2 + - 56/9 y x - 14/3 x + 98/9 x y + 64/9 y x z - 28/3 x y + + 2 2 3 2 3 3 2 392 3 2 686 2 2 + - 112/9 x y z + 16/3 x z + 16/3 y x + --- y x z - --- x y z + 27 27 + + 2 2 224 3 3 2 2 2 2 2 + - 28/3 x z - --- y x z + 196/9 x y z + 98/9 x z + 4 x + 27 + + 3 2 2 392 2 3 3 + - 112/9 y x z + --- x y z - 56/9 x z , COEFF(1, 0, 0) = 10/3 x + 2/3 + 27 + + 2 3 3 3 2 2 2 490 2 2 + - 14/9 z + 8/9 z + 40/9 y x - 16/3 y x - 4 x - 14/9 y + --- x y z + 27 + + 3 2 2 2 2 2 2 3 2 3 + + 8/9 y + 28/3 x y - 196/9 x y z - 70/9 x y - 64/9 y x z + + 280 2 3 2 2 3 160 3 3 2 3 56 2 3 + - --- x y z + 112/9 x y z + --- y x z - 16/3 x z - -- y z + 27 27 27 + + 32 3 3 2 2 2 280 3 2 3 2 2 + + -- y z - 70/9 x z + 28/3 x z - --- y x z + 112/9 y x z + 27 27 + + 56 3 2 3 98 2 2 2 + - -- y z + 40/9 x z + -- y z , COEFF(2, 0, 0) = -x - 1/12 + 7/36 z + 27 27 + + 3 3 3 2 2 2 2 2 3 + - 1/9 z - 4/3 y x + 7/3 y x + 7/4 x + 7/36 y - 49/9 x y z - 1/9 y + + 49 2 2 343 2 2 2 2 3 2 3 2 3 + - -- x y + --- x y z + 7/3 x y + 28/9 y x z + 28/9 x y z + 12 36 + + 2 2 3 3 3 2 3 2 3 3 3 + - 49/9 x y z - 16/9 y x z + 7/3 x z + 7/27 y z - 4/27 y z + + 2 49 2 2 3 2 3 2 2 3 2 + + 7/3 x z - -- x z + 28/9 y x z - 49/9 y x z + 7/27 y z + 12 + + 3 49 2 2 2 2 14 2 3 + - 4/3 x z - --- y z , COEFF(3, 0, 0) = 7/12 x y - -- x y z + 1/6 x + 108 27 + + 49 2 2 2 3 2 2 3 2 49 2 2 3 2 + - -- x y z + 7/9 y x z - 1/3 y x + -- x y z + 2/9 x z - 1/4 x + 36 54 + + 14 3 2 2 2 2 2 3 2 3 2 3 + - -- y x z + 7/12 x z + 7/9 x y z - 7/18 x z - 4/9 y x z + 27 + + 3 3 2 3 2 3 + + 8/27 y x z - 7/18 x y + 2/9 y x - 1/3 x z , COEFF(-2, 1, 0) = + + 3 3 2 2 35 2 2 3 2 2 + 1/18 y + 4/9 y x - 1/3 y x + 5/36 y + -- x y z - 1/9 y + 5/12 x y + 27 + + 2 2 2 14 2 35 2 2 2 2 + - 7/18 x y z + 1/6 x y + -- x y z - -- x y z - 5/9 x y - 2/9 x y + 27 36 + + 2 3 3 3 2 3 20 2 3 2 2 3 + + 2/9 x y z - 8/27 x y z - 4/9 y x z - -- x y z + 5/9 x y z + 27 + + 16 3 3 2 3 3 3 28 3 2 3 + + -- y x z + 5/27 y z - 4/27 y z - -- y x z + 2/27 y z + 27 27 + + 3 2 2 3 2 2 35 2 2 + + 7/9 y x z + 7/27 y z - 7/54 y z - --- y z , COEFF(-1, 1, 0) = + 108 + + 3 3 2 2 175 2 2 3 35 2 2 + - 4/9 y - 10/3 y x + 7/3 y x - 10/9 y - --- x y z + 8/9 y - -- x y + 18 12 + + 49 2 2 2 2 245 2 2 2 2 + + -- x y z - 7/6 x y - 35/9 x y z + --- x y z + 25/6 x y + 5/3 x y + 18 36 + + 2 3 3 3 2 3 2 3 + - 14/9 x y z + 20/9 x y z + 28/9 y x z + 50/9 x y z + + 2 2 3 3 3 40 2 3 32 3 3 3 2 + - 35/9 x y z - 40/9 y x z - -- y z + -- y z + 70/9 y x z + 27 27 + + 16 3 3 2 2 56 3 2 28 2 70 2 2 + - -- y z - 49/9 y x z - -- y z + -- y z + -- y z , COEFF(0, 1, 0) + 27 27 27 27 + + 2 2 2 2 3 196 2 112 3 + = 20/3 x y - 70/9 x y + 32/9 x y z + --- x y z - --- x y z + 27 27 + + 3 3 2 3 2 2 3 3 2 2 + + 56/9 y x - 64/9 y x z - 28/9 x y + 80/9 x y z + 112/9 y x z + + 224 3 3 2 2 2 3 2 280 2 3 392 3 2 + + --- y x z - 140/9 x y z - 16/3 y x - --- x y z - --- y x z + 27 27 27 + + 2 490 2 2 2 2 + + 8/3 x y + --- x y z - 56/9 x y z , COEFF(1, 1, 0) = 4/9 y + 27 + + 3 3 2 2 350 2 2 3 2 2 + - 40/9 y x + 16/3 y x + 10/9 y - --- x y z - 8/9 y - 20/3 x y + 27 + + 2 2 2 140 2 2 2 2 2 + + 56/9 x y z - 8/3 x y - --- x y z + 140/9 x y z + 50/9 x y + 27 + + 2 3 80 3 3 2 3 200 2 3 + + 20/9 x y - 32/9 x y z + -- x y z + 64/9 y x z + --- x y z + 27 27 + + 2 2 3 160 3 3 40 2 3 32 3 3 280 3 2 + - 80/9 x y z - --- y x z + -- y z - -- y z + --- y x z + 27 27 27 27 + + 16 3 3 2 2 56 3 2 28 2 70 2 2 + + -- y z - 112/9 y x z + -- y z - -- y z - -- y z , COEFF(2, 1, 0) + 27 27 27 27 + + 3 3 2 2 2 2 3 + = - 1/18 y + 4/3 y x - 7/3 y x - 5/36 y + 35/9 x y z + 1/9 y + + 35 2 2 49 2 2 2 2 245 2 2 2 2 + + -- x y - -- x y z + 7/6 x y + 14/9 x y z - --- x y z - 5/3 x y + 12 18 36 + + 2 3 3 3 2 3 2 3 + - 2/3 x y + 14/9 x y z - 8/9 x y z - 28/9 y x z - 20/9 x y z + + 2 2 3 3 3 2 3 3 3 3 2 + + 35/9 x y z + 16/9 y x z - 5/27 y z + 4/27 y z - 28/9 y x z + + 3 3 2 2 3 2 2 35 2 2 + - 2/27 y z + 49/9 y x z - 7/27 y z + 7/54 y z + --- y z , + 108 + + 3 3 2 2 2 3 3 + COEFF(3, 1, 0) = - 8/27 y x z - 1/6 x y - 5/9 x y z - 2/9 y x + + 35 2 2 2 3 2 2 2 3 2 3 2 3 + + -- x y z - 7/9 y x z - 7/27 x y z + 4/9 y x z - 2/9 x y z + 36 + + 2 2 3 2 10 2 3 2 35 2 2 + + 7/18 x y z + 1/3 y x + -- x y z + 5/18 x y - -- x y z + 27 54 + + 2 2 14 3 2 3 + - 5/12 x y + -- y x z + 4/27 x y z + 1/9 x y, COEFF(-2, 2, 0) = + 27 + + 3 3 2 2 2 2 3 + - 1/144 y - 7/36 y x + 7/48 y x - 1/24 y - 7/18 x y z + 7/144 y + + 2 2 2 2 2 2 2 2 2 + - 1/8 x y + 7/144 x y z - 1/48 x y - 7/108 x y z + 7/24 x y z + + 2 2 3 3 3 2 3 + + 1/6 x y + 1/36 x y - 1/36 x y z + 1/27 x y z + 7/36 y x z + + 2 3 2 2 3 3 3 2 3 3 3 + + 2/9 x y z - 1/6 x y z - 7/27 y x z - 1/18 y z + 7/108 y z + + 49 3 2 3 49 3 2 2 49 3 2 2 + + --- y x z - 1/108 y z - --- y x z - --- y z + 7/432 y z + 108 144 432 + + 2 2 35 3 49 3 2 2 + + 7/72 y z , COEFF(-1, 2, 0) = 1/18 y + -- y x - -- y x + 1/3 y + 24 48 + + 35 2 2 3 2 2 49 2 2 2 35 2 + + -- x y z - 7/18 y + 7/8 x y - --- x y z + 7/48 x y + -- x y z + 12 144 72 + + 49 2 2 2 2 2 3 3 + - -- x y z - 5/4 x y - 5/24 x y + 7/36 x y z - 5/18 x y z + 24 + + 49 3 2 3 2 3 2 2 3 35 3 3 2 3 + - -- y x z - 5/3 x y z + 7/6 x y z + -- y x z + 4/9 y z + 36 18 + + 14 3 3 245 3 2 3 343 3 2 2 49 3 2 2 + - -- y z - --- y x z + 2/27 y z + --- y x z + -- y z - 7/54 y z + 27 72 144 54 + + 2 2 2 2 2 + - 7/9 y z , COEFF(0, 2, 0) = 7/9 x y z + 7/18 x y - 1/3 x y + + 3 2 3 14 3 49 3 2 2 2 2 3 + + 28/9 y x z + -- x y z - -- y x - 49/9 x y z - 8/3 x y z + 27 18 + + 2 3 2 3 2 2 343 3 2 98 3 3 + - 4/9 x y z + 7/3 x y - 49/9 y x z + --- y x z - -- y x z + 54 27 + + 49 2 2 2 2 3 2 2 3 2 2 + - -- x y z + 14/3 x y z + 7/3 y x + 28/9 x y z - 2 x y , + 54 + + 35 3 3 2 2 2 2 + COEFF(1, 2, 0) = - 1/18 y + -- y x - 7/3 y x - 1/3 y + 35/9 x y z + 18 + + 3 2 2 2 2 2 35 2 2 2 2 + + 7/18 y + 2 x y - 7/9 x y z + 1/3 x y + -- x y z - 14/3 x y z + 54 + + 2 2 3 10 3 3 2 3 + - 5/3 x y - 5/18 x y + 4/9 x y z - -- x y z - 28/9 y x z + 27 + + 2 3 2 2 3 70 3 3 2 3 14 3 3 + - 20/9 x y z + 8/3 x y z + -- y x z - 4/9 y z + -- y z + 27 27 + + 245 3 2 3 3 2 2 49 3 2 2 + - --- y x z - 2/27 y z + 49/9 y x z - -- y z + 7/54 y z + 54 54 + + 2 2 3 49 3 2 2 + + 7/9 y z , COEFF(2, 2, 0) = 1/144 y - 7/12 y x + -- y x + 1/24 y + 48 + + 2 2 3 2 2 49 2 2 2 + - 7/6 x y z - 7/144 y - 7/8 x y + --- x y z - 7/48 x y + 144 + + 2 49 2 2 2 2 2 3 + - 7/36 x y z + -- x y z + 1/2 x y + 1/12 x y - 7/36 x y z + 24 + + 3 49 3 2 3 2 3 2 2 3 3 3 + + 1/9 x y z + -- y x z + 2/3 x y z - 7/6 x y z - 7/9 y x z + 36 + + 2 3 3 3 49 3 2 3 343 3 2 2 + + 1/18 y z - 7/108 y z + -- y x z + 1/108 y z - --- y x z + 36 144 + + 49 3 2 2 2 2 3 + + --- y z - 7/432 y z - 7/72 y z , COEFF(3, 2, 0) = - 1/54 x y z + 432 + + 2 2 2 2 2 3 2 2 2 + + 1/8 x y - 1/72 x y + 7/36 x y z + 1/36 x y z - 7/24 x y z + + 2 2 3 3 3 2 2 3 2 2 + + 1/6 x y z + 7/54 y x z - 7/144 x y z - 7/48 y x + 7/216 x y z + + 49 3 2 2 3 2 3 2 3 49 3 2 2 + + --- y x z - 7/36 y x z - 1/9 x y z - --- y x z - 1/12 x y + 144 216 + + 2 3 3 3 3 + + 1/48 x y + 7/72 y x, COEFF(-2, 3, 0) = 1/36 y x - 1/108 y z + + 2 3 3 2 3 2 3 2 2 + - 1/27 x y z - 7/108 y x z - 1/48 y x - 1/144 y + 7/108 x y z + + 2 2 2 3 2 2 3 2 2 3 2 + + 1/48 x y + 1/108 y z - 7/432 y z + 7/144 y x z + 7/432 y z + + 2 2 3 3 2 3 2 2 3 3 + + 1/36 x y z - 1/36 y x z - 1/36 x y + 1/144 y + 1/27 y x z + + 2 2 2 49 3 2 2 3 2 + - 7/144 x y z , COEFF(-1, 3, 0) = - --- y x z + 7/48 y x + 144 + + 2 3 2 2 2 3 3 2 2 + - 2/27 y z + 5/24 x y - 7/36 x y z + 1/18 y - 7/48 x y + + 3 49 2 2 2 3 2 3 2 2 3 3 + - 5/24 y x + --- x y z + 7/36 y x z + 7/54 y z - 5/18 y x z + 144 + + 3 2 35 2 2 35 3 2 3 3 2 + - 7/54 y z - -- x y z + -- y x z + 2/27 y z - 1/18 y + 72 72 + + 2 3 49 2 2 3 2 2 2 3 + + 5/18 x y z , COEFF(0, 3, 0) = -- x y z - 1/3 y x + 4/9 x y z + 54 + + 2 3 3 2 3 14 2 3 3 2 2 + - 7/18 x y + 7/18 y x - 4/9 y x z - -- x y z + 7/9 y x z + 27 + + 49 3 2 2 2 2 14 3 3 2 2 + - -- y x z - 7/9 x y z + -- y x z + 1/3 x y , COEFF(1, 3, 0) = + 54 27 + + 3 3 3 3 2 3 10 3 3 2 3 + - 2/27 y z - 1/18 y + 4/9 y x z - -- y x z + 2/27 y z + 27 + + 35 2 2 2 3 2 2 2 2 10 2 3 + - -- x y z + 1/18 y - 5/18 y x - 1/3 x y - 7/54 y z + -- x y z + 54 27 + + 3 2 2 2 2 3 3 2 35 3 2 2 + - 7/9 y x z - 4/9 x y z + 7/54 y z + -- y x z + 5/18 x y + 54 + + 3 2 2 2 2 2 3 3 2 + + 1/3 y x + 7/9 x y z , COEFF(2, 3, 0) = - 1/9 x y z - 7/432 y z + + 49 3 2 2 3 2 2 2 2 2 2 3 + + --- y x z - 7/48 y x + 7/48 x y - 1/144 y + 7/36 x y z + 144 + + 3 49 2 2 2 2 3 3 3 + + 1/144 y - --- x y z - 1/12 x y + 1/12 y x + 1/9 y x z + 144 + + 2 2 2 2 3 3 3 2 3 2 3 + + 7/432 y z + 7/36 x y z + 1/108 y z - 7/36 y x z - 7/36 y x z + + 2 3 2 3 3 2 3 2 3 + - 1/108 y z , COEFF(3, 3, 0) = 1/54 x y z + 1/48 y x + 1/36 y x z + + 2 2 2 2 2 2 2 3 3 2 + + 1/72 x y - 1/48 x y - 7/216 x y z - 1/36 x y z + 7/216 y x z + + 3 3 2 2 2 3 2 2 3 + - 1/54 y x z + 7/144 x y z - 7/144 y x z - 1/72 y x, + + 2 3 2 2 + COEFF(-2, -2, 1) = - 1/108 y z + 1/216 y z + 1/216 z y + 5/54 x y z + + 2 2 2 2 2 2 + - 1/54 x y z + 1/72 x y z + 1/27 x y z - 1/36 x y z + 5/144 x y z + + 2 2 2 2 2 3 3 + - 5/108 x y z - 5/72 x y z - 1/36 x y z + 1/27 x y z + + 3 2 3 3 3 2 2 3 + - 1/36 y x z - 1/54 z y x + 1/72 z y x - 2/27 x y z + + 2 2 3 3 3 2 3 3 3 3 2 + + 1/18 x y z + 1/27 y x z + 1/54 y z - 1/108 y z - 5/108 y x z + + 3 3 2 2 3 2 2 2 2 + - 1/108 y z + 5/144 y x z + 5/432 y z + 5/432 y z - 5/216 y z , + + 2 3 25 2 2 + COEFF(-1, -2, 1) = 2/27 y z - 1/27 y z - 1/27 z y - -- x y z + 36 + + 2 2 2 2 35 2 2 + + 5/36 x y z - 7/72 x y z - 5/18 x y z + 7/36 x y z - --- x y z + 144 + + 25 2 35 2 2 2 2 3 3 3 2 3 + + -- x y z + -- x y z + 7/36 x y z - 5/18 x y z + 7/36 y x z + 72 72 + + 3 3 2 2 3 2 2 3 3 3 + + 5/36 z y x - 7/72 z y x + 5/9 x y z - 7/18 x y z - 5/18 y x z + + 2 3 3 3 25 3 2 3 35 3 2 2 + - 4/27 y z + 2/27 y z + -- y x z + 2/27 y z - --- y x z + 72 144 + + 3 2 2 2 2 2 + - 5/54 y z - 5/54 y z + 5/27 y z , COEFF(0, -2, 1) = 2/9 x y z + + 3 3 2 2 14 3 3 35 2 2 + - 7/27 z y x - 7/27 x y z + 5/9 y x z + -- y x z + -- x y z + 27 27 + + 14 3 35 3 2 2 2 3 2 2 2 + + -- x y z - -- y x z - 4/9 x y z + 2/9 z y x + 5/9 x y z + 27 54 + + 14 2 2 3 35 2 3 2 3 2 2 2 + + -- x y z - 4/9 x y z - -- x y z - 4/9 y x z - 10/9 x y z + 27 54 + + 2 2 3 28 2 3 2 + + 8/9 x y z - -- x y z , COEFF(1, -2, 1) = - 2/27 y z + 1/27 y z + 27 + + 3 25 2 2 2 10 2 + + 1/27 z y - -- x y z + 5/27 x y z - 2/9 x y z - -- x y z + 27 27 + + 2 2 2 2 25 2 2 2 2 2 3 + + 4/9 x y z - 5/9 x y z + -- x y z + 10/9 x y z + 4/9 x y z + 54 + + 10 3 3 2 3 3 3 2 20 2 3 + - -- x y z + 4/9 y x z + 5/27 z y x - 2/9 z y x + -- x y z + 27 27 + + 2 2 3 10 3 3 2 3 3 3 25 3 2 + - 8/9 x y z - -- y x z + 4/27 y z - 2/27 y z + -- y x z + 27 54 + + 3 3 2 2 3 2 2 2 2 + - 2/27 y z - 5/9 y x z + 5/54 y z + 5/54 y z - 5/27 y z , + + 2 3 2 2 + COEFF(2, -2, 1) = 1/108 y z - 1/216 y z - 1/216 z y + 5/18 x y z + + 2 2 2 2 35 2 2 + - 1/18 x y z + 7/72 x y z + 1/9 x y z - 7/36 x y z + --- x y z + 144 + + 2 35 2 2 2 2 3 3 3 2 3 + - 5/36 x y z - -- x y z - 7/36 x y z + 1/9 x y z - 7/36 y x z + 72 + + 3 3 2 2 3 2 2 3 3 3 + - 1/18 z y x + 7/72 z y x - 2/9 x y z + 7/18 x y z + 1/9 y x z + + 2 3 3 3 3 2 3 35 3 2 2 + - 1/54 y z + 1/108 y z - 5/36 y x z + 1/108 y z + --- y x z + 144 + + 3 2 2 2 2 + - 5/432 y z - 5/432 y z + 5/216 y z , COEFF(3, -2, 1) = + + 3 2 2 2 3 3 2 3 + - 5/144 y x z + 5/216 x y z + 1/108 z y x - 1/54 x y z + 1/27 x y z + + 3 2 2 2 3 2 3 2 2 2 + + 5/216 y x z + 1/36 x y z + 1/36 y x z + 5/72 x y z + + 2 3 2 2 2 3 3 + - 1/54 x y z + 1/108 x y z - 1/72 z y x - 5/108 x y z - 1/54 y x z + + 2 2 2 3 2 2 2 3 + - 1/72 x y z - 1/18 x y z - 5/144 x y z + 1/36 x y z , + + 2 3 25 2 2 + COEFF(-2, -1, 1) = 5/72 y z - 1/27 y z - 7/216 z y - -- x y z + 36 + + 2 2 2 2 2 2 + + 4/27 x y z - 1/9 x y z - 5/18 x y z + 5/24 x y z - 5/18 x y z + + 10 2 25 2 2 2 2 3 3 3 2 3 + + -- x y z + -- x y z + 2/9 x y z - 8/27 x y z + 7/36 y x z + 27 48 + + 3 3 2 2 3 2 2 3 3 3 + + 7/54 z y x - 7/72 z y x + 5/9 x y z - 5/12 x y z - 7/27 y x z + + 2 3 3 3 35 3 2 3 35 3 2 2 + - 5/36 y z + 7/108 y z + --- y x z + 2/27 y z - --- y x z + 108 144 + + 35 3 2 2 25 2 2 2 + - --- y z - 5/54 y z + --- y z , COEFF(-1, -1, 1) = - 5/9 y z + 432 144 + + 3 125 2 2 2 25 2 + + 8/27 y z + 7/27 z y + --- x y z - 10/9 x y z + 7/9 x y z + -- x y z + 24 12 + + 35 2 2 35 2 2 2 175 2 2 2 2 3 + - -- x y z + -- x y z - 25/9 x y z - --- x y z - 14/9 x y z + 24 18 48 + + 3 49 3 2 3 35 3 49 3 2 2 3 + + 20/9 x y z - -- y x z - -- z y x + -- z y x - 25/6 x y z + 36 36 72 + + 35 2 2 3 35 3 3 2 3 14 3 3 175 3 2 16 3 + + -- x y z + -- y x z + 10/9 y z - -- y z - --- y x z - -- y z + 12 18 27 72 27 + + 245 3 2 2 35 3 2 20 2 25 2 2 + + --- y x z + -- y z + -- y z - -- y z , COEFF(0, -1, 1) = + 144 54 27 18 + + 112 3 2 2 3 140 2 49 3 2 2 2 + - --- x y z - 20/3 x y z + --- x y z + -- z y x + 25/3 x y z + 27 27 27 + + 2 3 3 2 2 98 3 3 2 2 3 2 3 + + 70/9 x y z - 35/9 y x z - -- y x z + 10/3 x y z + 28/9 y x z + 27 + + 2 175 2 2 3 2 245 3 2 2 3 + - 16/9 x y z - --- x y z - 14/9 z y x + --- y x z + 32/9 x y z + 18 54 + + 2 2 2 56 2 + - 40/9 x y z - 35/9 x y z + -- x y z, COEFF(1, -1, 1) = 5/9 y z + 27 + + 3 125 2 2 40 2 + - 8/27 y z - 7/27 z y + --- x y z - -- x y z + 16/9 x y z + 18 27 + + 2 2 2 2 2 100 2 2 2 2 + + 25/9 x y z - 10/3 x y z + 40/9 x y z - --- x y z - 25/3 x y z + 27 + + 2 3 80 3 3 2 3 35 3 3 2 + - 32/9 x y z + -- x y z - 28/9 y x z - -- z y x + 14/9 z y x + 27 27 + + 2 3 2 2 3 70 3 3 2 3 14 3 3 + - 50/9 x y z + 20/3 x y z + -- y x z - 10/9 y z + -- y z + 27 27 + + 175 3 2 16 3 3 2 2 35 3 2 20 2 25 2 2 + - --- y x z + -- y z + 35/9 y x z - -- y z - -- y z + -- y z , + 54 27 54 27 18 + + 2 3 25 2 2 + COEFF(2, -1, 1) = - 5/72 y z + 1/27 y z + 7/216 z y - -- x y z + 12 + + 2 2 35 2 2 35 2 2 + + 4/9 x y z - 7/9 x y z - 5/6 x y z + -- x y z - -- x y z + 24 18 + + 2 175 2 2 2 2 3 3 49 3 2 3 + + 10/9 x y z + --- x y z + 14/9 x y z - 8/9 x y z + -- y x z + 48 36 + + 3 49 3 2 2 3 35 2 2 3 3 3 + + 7/18 z y x - -- z y x + 5/3 x y z - -- x y z - 7/9 y x z + 72 12 + + 2 3 3 3 35 3 2 3 245 3 2 2 + + 5/36 y z - 7/108 y z + -- y x z - 2/27 y z - --- y x z + 36 144 + + 35 3 2 2 25 2 2 3 + + --- y z + 5/54 y z - --- y z , COEFF(3, -1, 1) = - 7/108 z y x + 432 144 + + 2 2 2 2 3 3 3 + + 5/36 x y z + 5/18 x y z + 1/9 x y z + 4/27 x y z + 7/54 y x z + + 2 2 2 3 3 2 25 2 2 2 + - 2/27 x y z - 5/24 x y z - 2/9 x y z + 7/72 z y x - -- x y z + 48 + + 35 3 2 25 2 2 2 2 3 3 2 3 35 3 2 2 + - --- y x z + -- x y z + 5/12 x y z - 7/36 y x z + --- y x z + 216 72 144 + + 2 3 2 2 2 + - 5/18 x y z - 5/27 x y z , COEFF(-2, 0, 1) = - 7/54 y z + 1/6 x z + + 2 3 3 35 2 2 14 2 + - 2/9 x z + 1/18 z + 5/36 z - 1/9 z + 2/27 z y + -- x y z + -- x y z + 27 27 + + 2 2 35 2 2 2 3 2 3 3 3 2 + - 7/18 x y z - -- x y z - 4/9 y x z - 8/27 z y x + 2/9 z y x + 36 + + 28 2 3 2 2 3 16 3 3 2 3 2 3 + - -- x y z + 7/9 x y z + -- y x z - 1/3 x z + 7/27 y z + 27 27 + + 3 3 2 2 2 20 3 2 3 2 2 + - 4/27 y z - 5/9 x z + 5/12 x z - -- y x z + 5/9 y x z + 27 + + 3 2 3 35 2 2 28 2 2 + + 5/27 y z + 4/9 x z - --- y z , COEFF(-1, 0, 1) = -- y z - 7/6 x z + 108 27 + + 2 3 16 3 175 2 2 2 + + 5/3 x z - 4/9 z - 10/9 z + 8/9 z - -- z y - --- x y z - 35/9 x y z + 27 18 + + 49 2 2 245 2 2 2 3 2 3 3 3 2 + + -- x y z + --- x y z + 28/9 y x z + 20/9 z y x - 14/9 z y x + 18 36 + + 2 3 2 2 3 3 3 2 3 56 2 3 + + 70/9 x y z - 49/9 x y z - 40/9 y x z + 7/3 x z - -- y z + 27 + + 32 3 3 2 35 2 2 3 2 3 2 2 + + -- y z + 25/6 x z - -- x z + 50/9 y x z - 35/9 y x z + 27 12 + + 40 3 2 3 70 2 2 2 2 2 + - -- y z - 10/3 x z + -- y z , COEFF(0, 0, 1) = - 140/9 x y z + 27 27 + + 3 2 196 2 490 2 2 2 2 + + 32/9 z y x + --- x y z + --- x y z + 20/3 x z - 28/9 x z + 27 27 + + 2 2 3 2 2 3 2 2 2 2 3 + + 8/3 x z - 16/3 x z - 56/9 x y z + 80/9 y x z + 112/9 x y z + + 392 2 3 2 3 112 3 3 2 3 + - --- x y z - 70/9 x z + 56/9 x z - --- z y x - 64/9 y x z + 27 27 + + 224 3 3 280 3 2 28 2 2 + + --- y x z - --- y x z , COEFF(1, 0, 1) = - -- y z - 8/3 x z + 27 27 27 + + 2 3 16 3 350 2 2 140 2 + + 20/9 x z + 4/9 z + 10/9 z - 8/9 z + -- z y - --- x y z - --- x y z + 27 27 27 + + 2 2 2 2 2 3 2 3 80 3 3 2 + + 56/9 x y z + 140/9 x y z + 64/9 y x z + -- z y x - 32/9 z y x + 27 + + 280 2 3 2 2 3 160 3 3 2 3 56 2 3 + + --- x y z - 112/9 x y z - --- y x z + 16/3 x z + -- y z + 27 27 27 + + 32 3 3 2 2 2 200 3 2 3 2 2 + - -- y z + 50/9 x z - 20/3 x z + --- y x z - 80/9 y x z + 27 27 + + 40 3 2 3 70 2 2 2 2 + + -- y z - 40/9 x z - -- y z , COEFF(2, 0, 1) = 7/54 y z + 7/6 x z + 27 27 + + 2 3 3 2 2 + - 2/3 x z - 1/18 z - 5/36 z + 1/9 z - 2/27 z y + 35/9 x y z + + 2 49 2 2 245 2 2 2 3 2 3 3 + + 14/9 x y z - -- x y z - --- x y z - 28/9 y x z - 8/9 z y x + 18 36 + + 3 2 2 3 2 2 3 3 3 2 3 + + 14/9 z y x - 28/9 x y z + 49/9 x y z + 16/9 y x z - 7/3 x z + + 2 3 3 3 2 35 2 2 3 2 + - 7/27 y z + 4/27 y z - 5/3 x z + -- x z - 20/9 y x z + 12 + + 3 2 2 3 2 3 35 2 2 + + 35/9 y x z - 5/27 y z + 4/3 x z + --- y z , COEFF(3, 0, 1) = + 108 + + 35 2 2 2 3 2 3 2 2 3 + - -- x y z + 1/3 x z + 5/18 x z - 5/9 y x z - 2/9 x z + 54 + + 35 2 2 2 2 2 2 3 3 2 + + -- x y z - 7/27 x y z - 7/9 x y z + 1/9 x z - 2/9 z y x + 36 + + 14 2 3 2 2 3 2 3 3 2 2 + + -- x y z - 5/12 x z + 4/9 y x z + 4/27 z y x + 7/18 x y z + 27 + + 10 3 2 2 3 3 2 + + -- y x z - 1/6 x z - 8/27 y x z , COEFF(-2, 1, 1) = 5/54 y z + 27 + + 3 25 2 2 2 10 2 + + 1/27 y z - 2/27 z y - -- x y z - 4/27 x y z + 1/9 x y z - -- x y z + 27 27 + + 2 2 2 2 10 2 25 2 2 2 2 3 + + 5/18 x y z + 5/18 x y z - -- x y z + -- x y z - 2/9 x y z + 27 36 + + 3 3 2 3 3 3 2 20 2 3 + + 8/27 x y z + 4/9 y x z + 8/27 z y x - 2/9 z y x + -- x y z + 27 + + 2 2 3 16 3 3 2 3 3 3 20 3 2 + - 5/9 x y z - -- y x z - 5/27 y z + 4/27 y z + -- y x z + 27 27 + + 3 3 2 2 3 2 2 25 2 2 + - 2/27 y z - 5/9 y x z - 5/27 y z + 5/54 y z + --- y z , + 108 + + 20 2 16 3 125 2 2 + COEFF(-1, 1, 1) = - -- y z - 8/27 y z + -- z y + --- x y z + 10/9 x y z + 27 27 18 + + 2 2 35 2 2 35 2 2 2 + - 7/9 x y z + 25/9 x y z - -- x y z - -- x y z + 25/9 x y z + 18 18 + + 175 2 2 2 2 3 3 3 2 3 3 + - --- x y z + 14/9 x y z - 20/9 x y z - 28/9 y x z - 20/9 z y x + 36 + + 3 2 2 3 2 2 3 3 3 40 2 3 + + 14/9 z y x - 50/9 x y z + 35/9 x y z + 40/9 y x z + -- y z + 27 + + 32 3 3 3 2 16 3 3 2 2 40 3 2 20 2 + - -- y z - 50/9 y x z + -- y z + 35/9 y x z + -- y z - -- y z + 27 27 27 27 + + 50 2 2 2 2 2 2 3 350 2 2 + - -- y z , COEFF(0, 1, 1) = 40/9 x y z - 80/9 x y z - --- x y z + 27 27 + + 224 3 3 112 3 3 2 3 280 2 3 56 + - --- y x z + --- x y z + 64/9 y x z + --- x y z - -- x y z + 27 27 27 27 + + 2 280 3 2 3 2 3 2 2 140 2 + + 16/9 x y z + --- y x z - 32/9 z y x - 80/9 y x z - --- x y z + 27 27 + + 112 3 140 2 2 2 2 3 2 2 2 + + --- z y x - --- x y z + 40/9 x y z - 32/9 x y z + 100/9 x y z , + 27 27 + + 20 2 16 3 250 2 2 40 + COEFF(1, 1, 1) = -- y z + 8/27 y z - -- z y + --- x y z + -- x y z + 27 27 27 27 + + 2 100 2 2 2 2 2 100 2 + - 16/9 x y z + --- x y z - 40/9 x y z - 40/9 x y z + --- x y z + 27 27 + + 2 2 2 2 3 80 3 3 2 3 80 3 + - 100/9 x y z + 32/9 x y z - -- x y z - 64/9 y x z - -- z y x + 27 27 + + 3 2 200 2 3 2 2 3 160 3 3 40 2 3 + + 32/9 z y x - --- x y z + 80/9 x y z + --- y x z - -- y z + 27 27 27 + + 32 3 3 200 3 2 16 3 3 2 2 40 3 2 20 2 + + -- y z - --- y x z - -- y z + 80/9 y x z - -- y z + -- y z + 27 27 27 27 27 + + 50 2 2 2 3 + + -- y z , COEFF(2, 1, 1) = - 5/54 y z - 1/27 y z + 2/27 z y + 27 + + 2 2 2 2 35 2 2 + - 25/9 x y z - 4/9 x y z + 7/9 x y z - 10/9 x y z + -- x y z + 18 + + 35 2 2 2 175 2 2 2 2 3 3 + + -- x y z - 10/9 x y z + --- x y z - 14/9 x y z + 8/9 x y z + 18 36 + + 3 2 3 3 3 2 2 3 2 2 3 + + 28/9 y x z + 8/9 z y x - 14/9 z y x + 20/9 x y z - 35/9 x y z + + 3 3 2 3 3 3 3 2 3 + - 16/9 y x z + 5/27 y z - 4/27 y z + 20/9 y x z + 2/27 y z + + 3 2 2 3 2 2 25 2 2 + - 35/9 y x z + 5/27 y z - 5/54 y z - --- y z , COEFF(3, 1, 1) = + 108 + + 3 3 3 2 2 3 3 3 2 3 + 8/27 y x z + 5/9 y x z - 4/27 x y z - 4/27 z y x - 4/9 y x z + + 25 2 2 10 2 3 25 2 2 2 2 2 3 2 3 + + -- x y z - -- x y z - -- x y z + 5/9 x y z + 2/9 x y z + 54 27 36 + + 2 2 2 2 2 2 + - 5/18 x y z - 5/18 x y z - 1/9 x y z + 5/27 x y z + 2/27 x y z + + 10 3 2 2 3 2 2 + - -- y x z + 5/27 x y z + 2/9 z y x , COEFF(-2, 2, 1) = - 1/36 y z + 27 + + 3 2 2 2 + - 1/216 y z + 7/216 z y + 5/18 x y z + 1/54 x y z - 1/72 x y z + + 2 2 2 2 2 2 2 2 2 + + 1/9 x y z - 1/12 x y z - 5/144 x y z + 5/108 x y z - 5/24 x y z + + 2 3 3 3 2 3 3 3 2 + + 1/36 x y z - 1/27 x y z - 7/36 y x z - 7/54 z y x + 7/72 z y x + + 2 3 2 2 3 3 3 2 3 3 3 + - 2/9 x y z + 1/6 x y z + 7/27 y x z + 1/18 y z - 7/108 y z + + 35 3 2 3 35 3 2 2 35 3 2 2 + - --- y x z + 1/108 y z + --- y x z + --- y z - 5/432 y z + 108 144 432 + + 2 2 2 3 + - 5/72 y z , COEFF(-1, 2, 1) = 2/9 y z + 1/27 y z - 7/27 z y + + 25 2 2 2 2 2 2 + - -- x y z - 5/36 x y z + 7/72 x y z - 5/6 x y z + 7/12 x y z + 12 + + 35 2 2 25 2 35 2 2 2 2 3 3 + + --- x y z - -- x y z + -- x y z - 7/36 x y z + 5/18 x y z + 144 72 24 + + 49 3 2 3 35 3 49 3 2 2 3 2 2 3 + + -- y x z + -- z y x - -- z y x + 5/3 x y z - 7/6 x y z + 36 36 72 + + 35 3 3 2 3 14 3 3 175 3 2 3 + - -- y x z - 4/9 y z + -- y z + --- y x z - 2/27 y z + 18 27 72 + + 245 3 2 2 35 3 2 2 2 2 + - --- y x z - -- y z + 5/54 y z + 5/9 y z , COEFF(0, 2, 1) = + 144 54 + + 49 3 2 2 2 2 2 245 3 2 + - -- z y x - 5/9 x y z - 2/9 x y z + 35/9 x y z - --- y x z + 27 54 + + 14 3 2 3 3 2 3 98 3 3 2 3 + - -- x y z - 28/9 x y z - 28/9 y x z + -- y x z + 4/9 x y z + 27 27 + + 2 35 2 2 2 2 2 3 + + 14/9 x y z + -- x y z - 4/3 x y z + 7/27 x y z + 8/3 x y z + 54 + + 3 2 3 2 2 2 2 2 + + 14/9 z y x + 35/9 y x z - 10/3 x y z , COEFF(1, 2, 1) = + + 2 3 2 2 2 + - 2/9 y z - 1/27 y z + 7/27 z y - 25/9 x y z - 5/27 x y z + 2/9 x y z + + 2 2 2 2 2 25 2 2 2 2 + - 10/9 x y z + 4/3 x y z + 5/9 x y z - -- x y z + 10/3 x y z + 54 + + 2 3 10 3 3 2 3 35 3 3 2 + - 4/9 x y z + -- x y z + 28/9 y x z + -- z y x - 14/9 z y x + 27 27 + + 2 3 2 2 3 70 3 3 2 3 14 3 3 + + 20/9 x y z - 8/3 x y z - -- y x z + 4/9 y z - -- y z + 27 27 + + 175 3 2 3 3 2 2 35 3 2 2 + + --- y x z + 2/27 y z - 35/9 y x z + -- y z - 5/54 y z + 54 54 + + 2 2 2 3 + - 5/9 y z , COEFF(2, 2, 1) = 1/36 y z + 1/216 y z - 7/216 z y + + 2 2 2 2 2 2 + + 5/6 x y z + 1/18 x y z - 7/72 x y z + 1/3 x y z - 7/12 x y z + + 35 2 2 2 35 2 2 2 2 3 3 + - --- x y z + 5/36 x y z - -- x y z + 7/36 x y z - 1/9 x y z + 144 24 + + 49 3 2 3 3 49 3 2 2 3 2 2 3 + - -- y x z - 7/18 z y x + -- z y x - 2/3 x y z + 7/6 x y z + 36 72 + + 3 3 2 3 3 3 35 3 2 3 + + 7/9 y x z - 1/18 y z + 7/108 y z - -- y x z - 1/108 y z + 36 + + 245 3 2 2 35 3 2 2 2 2 + + --- y x z - --- y z + 5/432 y z + 5/72 y z , COEFF(3, 2, 1) = + 144 432 + + 2 2 2 2 3 2 3 35 3 2 2 3 + - 5/36 x y z - 1/6 x y z + 1/9 x y z + --- y x z - 1/36 x y z + 216 + + 35 3 2 2 2 3 3 2 3 2 2 + - --- y x z + 1/72 x y z + 1/54 x y z + 7/36 y x z + 5/144 x y z + 144 + + 2 2 2 3 2 3 3 2 2 + + 5/24 x y z - 7/72 z y x - 1/108 x y z - 7/54 y x z + 1/12 x y z + + 2 2 3 + - 1/18 x y z - 5/216 x y z + 7/108 z y x, COEFF(-2, 3, 1) = + + 3 2 3 3 3 3 2 2 3 2 + - 1/216 z y + 1/27 x y z + 1/108 y z - 5/144 y x z - 1/72 z y x + + 3 2 2 2 2 2 2 3 2 2 + - 5/432 y z + 1/216 y z - 5/108 x y z - 1/36 x y z + 5/432 y z + + 2 2 2 3 3 2 2 2 2 3 + + 5/144 x y z - 1/27 y x z - 1/54 x y z + 1/72 x y z - 1/108 y z + + 3 3 2 3 3 2 + + 1/54 z y x + 1/36 y x z + 5/108 y x z , COEFF(-1, 3, 1) = + + 25 3 2 3 2 2 35 3 2 2 35 2 2 2 + - -- y x z - 5/36 z y x - 7/72 x y z + --- y x z - --- x y z + 72 144 144 + + 2 2 3 3 3 3 3 2 3 + - 5/54 y z + 5/18 y x z - 2/27 y z + 1/27 z y + 2/27 y z + + 3 2 3 2 3 2 2 2 3 2 + + 7/72 z y x - 7/36 y x z + 5/36 x y z + 7/36 x y z - 1/27 y z + + 2 3 3 2 25 2 2 2 + - 5/18 x y z + 5/54 y z + -- x y z , COEFF(0, 3, 1) = - 7/27 x y z + 72 + + 35 2 2 35 3 2 3 2 2 3 2 + - -- x y z + -- y x z + 7/27 z y x + 2/9 x y z - 2/9 z y x + 54 54 + + 14 2 3 14 3 3 3 2 3 2 2 3 3 2 2 + + -- x y z - -- y x z + 4/9 y x z - 4/9 x y z - 5/9 y x z + 27 27 + + 2 2 2 25 3 2 3 2 2 2 + + 5/9 x y z , COEFF(1, 3, 1) = - -- y x z - 1/27 z y - 5/9 x y z + 54 + + 3 2 2 10 2 3 3 2 2 2 2 2 3 + + 5/9 y x z - -- x y z - 5/54 y z + 5/54 y z + 4/9 x y z + 27 + + 10 3 3 2 2 2 3 3 2 + + -- y x z - 2/9 x y z + 5/27 x y z + 2/27 y z + 1/27 y z + 27 + + 3 2 3 25 2 2 3 2 3 2 3 + - 4/9 y x z + -- x y z + 2/9 z y x - 5/27 z y x - 2/27 y z , + 54 + + 2 2 3 3 2 2 2 + COEFF(2, 3, 1) = 7/72 x y z - 1/9 y x z - 1/18 x y z - 5/36 x y z + + 35 3 2 2 2 2 2 3 2 3 3 3 + - --- y x z - 5/432 y z + 1/9 x y z + 1/108 y z - 1/108 y z + 144 + + 2 2 2 3 35 2 2 2 3 2 3 2 3 + - 1/216 y z - 7/36 x y z + --- x y z + 5/36 y x z + 7/36 y x z + 144 + + 3 3 2 3 2 3 + + 1/18 z y x + 5/432 y z - 7/72 z y x + 1/216 z y , COEFF(3, 3, 1) = + + 2 2 3 3 2 2 2 2 + 5/216 x y z + 1/54 y x z - 5/144 x y z + 1/108 x y z + + 3 2 2 2 3 3 2 3 3 2 + + 5/144 y x z - 1/54 x y z - 1/36 y x z - 5/216 y x z + + 2 2 3 3 2 2 2 3 + + 1/36 x y z + 1/72 z y x - 1/72 x y z - 1/108 z y x, + + 2 3 2 2 + COEFF(-2, -2, 2) = 1/864 y z - 1/1728 y z - 1/1728 z y - 1/36 x y z + + 2 2 2 2 2 2 + + 1/432 x y z - 1/576 x y z - 1/216 x y z + 1/288 x y z - 1/96 x y z + + 2 2 2 2 2 3 3 + + 1/72 x y z + 1/48 x y z + 7/576 x y z - 7/432 x y z + + 3 2 3 3 3 2 2 3 + + 7/576 y x z + 1/432 z y x - 1/576 z y x + 7/216 x y z + + 2 2 3 3 3 2 3 3 3 + - 7/288 x y z - 7/432 y x z - 7/864 y z + 7/1728 y z + + 3 2 3 3 2 2 3 2 2 + + 1/72 y x z + 7/1728 y z - 1/96 y x z - 1/288 y z - 1/288 y z + + 2 2 2 3 + + 1/144 y z , COEFF(-1, -2, 2) = - 1/108 y z + 1/216 y z + 1/216 z y + + 2 2 2 2 2 2 + + 5/24 x y z - 5/288 x y z + 7/576 x y z + 5/144 x y z - 7/288 x y z + + 2 2 2 2 2 2 49 2 3 35 3 + + 7/96 x y z - 5/48 x y z - 7/48 x y z - --- x y z + --- x y z + 576 288 + + 49 3 2 3 3 3 2 35 2 3 49 2 2 3 + - --- y x z - 5/288 z y x + 7/576 z y x - --- x y z + --- x y z + 576 144 288 + + 35 3 3 2 3 3 3 3 2 3 + + --- y x z + 7/108 y z - 7/216 y z - 5/48 y x z - 7/216 y z + 288 + + 3 2 2 3 2 2 2 2 + + 7/96 y x z + 1/36 y z + 1/36 y z - 1/18 y z , COEFF(0, -2, 2) = + + 2 2 2 2 3 3 2 3 2 2 49 3 + 1/3 x y z + 7/36 x y z + 7/36 y x z + 1/18 x y z - --- x y z + 216 + + 3 2 2 2 49 3 3 2 2 3 + + 7/216 z y x - 1/6 x y z - 7/108 x y z - --- y x z - 7/18 x y z + 216 + + 3 2 3 2 2 2 3 2 + - 1/36 z y x + 7/216 x y z - 1/6 y x z + 7/36 x y z + 7/36 y x z + + 2 2 2 49 2 3 2 + - 7/18 x y z - 1/36 x y z + --- x y z , COEFF(1, -2, 2) = 1/108 y z + 108 + + 3 2 2 2 + - 1/216 y z - 1/216 z y + 5/18 x y z - 5/216 x y z + 1/36 x y z + + 2 2 2 2 2 2 2 2 2 + + 5/108 x y z - 1/18 x y z + 1/6 x y z - 5/36 x y z - 1/3 x y z + + 2 3 35 3 3 2 3 3 3 2 + - 7/36 x y z + --- x y z - 7/36 y x z - 5/216 z y x + 1/36 z y x + 216 + + 35 2 3 2 2 3 35 3 3 2 3 3 3 + - --- x y z + 7/18 x y z + --- y x z - 7/108 y z + 7/216 y z + 108 216 + + 3 2 3 3 2 2 3 2 2 + - 5/36 y x z + 7/216 y z + 1/6 y x z - 1/36 y z - 1/36 y z + + 2 2 2 3 + + 1/18 y z , COEFF(2, -2, 2) = - 1/864 y z + 1/1728 y z + 1/1728 z y + + 2 2 2 2 2 2 + - 1/12 x y z + 1/144 x y z - 7/576 x y z - 1/72 x y z + 7/288 x y z + + 2 2 2 2 2 2 49 2 3 3 + - 7/96 x y z + 1/24 x y z + 7/48 x y z + --- x y z - 7/144 x y z + 576 + + 49 3 2 3 3 3 2 2 3 + + --- y x z + 1/144 z y x - 7/576 z y x + 7/72 x y z + 576 + + 49 2 2 3 3 3 2 3 3 3 3 2 + - --- x y z - 7/144 y x z + 7/864 y z - 7/1728 y z + 1/24 y x z + 288 + + 3 3 2 2 3 2 2 2 2 + - 7/1728 y z - 7/96 y x z + 1/288 y z + 1/288 y z - 1/144 y z , + + 2 3 2 2 + COEFF(3, -2, 2) = 1/432 x y z - 1/144 y x z - 1/144 x y z + + 3 2 3 2 3 2 + - 7/576 y x z - 7/576 x y z - 1/864 x y z + 1/576 x y z + + 3 2 2 3 3 2 3 2 2 + - 1/864 z y x + 7/288 x y z + 1/576 z y x + 1/96 y x z + + 3 3 2 2 2 2 2 2 2 + + 7/864 y x z + 1/96 x y z + 1/72 x y z - 1/48 x y z + + 2 2 2 3 3 + - 1/288 x y z - 7/432 x y z + 7/864 x y z , COEFF(-2, -1, 2) = + + 2 3 2 2 + - 5/576 y z + 1/216 y z + 7/1728 z y + 5/24 x y z - 1/54 x y z + + 2 2 2 2 2 2 2 + + 1/72 x y z + 5/144 x y z - 5/192 x y z + 1/12 x y z - 1/9 x y z + + 2 2 2 2 3 3 49 3 2 3 3 + - 5/32 x y z - 7/72 x y z + 7/54 x y z - --- y x z - 7/432 z y x + 576 + + 3 2 35 2 3 35 2 2 3 49 3 3 35 2 3 + + 7/576 z y x - --- x y z + --- x y z + --- y x z + --- y z + 144 192 432 576 + + 49 3 3 3 2 3 3 2 2 3 2 + - ---- y z - 7/72 y x z - 7/216 y z + 7/96 y x z + 7/288 y z + 1728 + + 2 2 2 2 + + 1/36 y z - 5/96 y z , COEFF(-1, -1, 2) = 5/72 y z - 1/27 y z + + 3 25 2 2 2 25 2 + - 7/216 z y - -- x y z + 5/36 x y z - 7/72 x y z - -- x y z + 16 96 + + 35 2 2 2 2 2 35 2 2 2 49 2 3 + + --- x y z - 7/12 x y z + 5/6 x y z + -- x y z + -- x y z + 192 32 72 + + 35 3 343 3 2 3 35 3 49 3 2 175 2 3 + - -- x y z + --- y x z + --- z y x - --- z y x + --- x y z + 36 576 288 576 96 + + 245 2 2 3 245 3 3 35 2 3 49 3 3 35 3 2 + - --- x y z - --- y x z - -- y z + --- y z + -- y x z + 192 288 72 216 48 + + 3 49 3 2 2 3 2 2 2 2 + + 7/27 y z - -- y x z - 7/36 y z - 2/9 y z + 5/12 y z , + 96 + + 49 3 2 3 49 3 2 + COEFF(0, -1, 2) = - -- y x z - 7/27 x y z - --- z y x + 2/9 x y z + 36 216 + + 35 2 2 3 2 2 35 2 35 2 2 3 2 3 + + -- x y z + 7/6 y x z + -- x y z + -- x y z - 14/9 x y z + 12 72 12 + + 3 2 2 2 2 343 3 3 245 2 3 + + 7/36 z y x - 5/12 x y z - 14/9 x y z + --- y x z - --- x y z + 216 72 + + 2 2 49 3 2 2 2 49 3 2 + + 4/3 x y z + -- x y z - 5/2 x y z - -- y x z , COEFF(1, -1, 2) = + 27 36 + + 2 3 25 2 2 2 + - 5/72 y z + 1/27 y z + 7/216 z y - -- x y z + 5/27 x y z - 2/9 x y z + 12 + + 25 2 2 2 2 2 2 2 2 2 + - -- x y z + 5/12 x y z - 4/3 x y z + 10/9 x y z + 5/2 x y z + 72 + + 2 3 35 3 49 3 2 3 35 3 3 2 + + 14/9 x y z - -- x y z + -- y x z + --- z y x - 7/36 z y x + 27 36 216 + + 175 2 3 35 2 2 3 245 3 3 35 2 3 49 3 3 + + --- x y z - -- x y z - --- y x z + -- y z - --- y z + 72 12 216 72 216 + + 35 3 2 3 3 2 2 3 2 2 + + -- y x z - 7/27 y z - 7/6 y x z + 7/36 y z + 2/9 y z + 36 + + 2 2 2 3 + - 5/12 y z , COEFF(2, -1, 2) = 5/576 y z - 1/216 y z - 7/1728 z y + + 2 2 2 2 35 2 2 + + 5/8 x y z - 1/18 x y z + 7/72 x y z + 5/48 x y z - --- x y z + 192 + + 2 2 2 35 2 2 2 49 2 3 3 + + 7/12 x y z - 1/3 x y z - -- x y z - -- x y z + 7/18 x y z + 32 72 + + 343 3 2 3 3 49 3 2 35 2 3 245 2 2 3 + - --- y x z - 7/144 z y x + --- z y x - -- x y z + --- x y z + 576 576 48 192 + + 49 3 3 35 2 3 49 3 3 3 2 3 + + --- y x z - --- y z + ---- y z - 7/24 y x z + 7/216 y z + 144 576 1728 + + 49 3 2 2 3 2 2 2 2 + + -- y x z - 7/288 y z - 1/36 y z + 5/96 y z , COEFF(3, -1, 2) = + 96 + + 2 2 2 2 2 3 2 2 2 + - 1/72 x y z + 5/32 x y z + 1/18 x y z - 7/96 y x z - 5/288 x y z + + 3 2 2 2 3 35 2 3 3 + + 7/144 y x z - 5/48 x y z - 7/108 x y z + --- x y z + 7/864 z y x + 288 + + 35 2 2 3 2 2 3 2 49 3 3 + - --- x y z - 1/12 x y z - 7/576 z y x - --- y x z + 1/108 x y z + 192 864 + + 49 3 2 3 2 3 2 2 + + --- y x z + 7/72 x y z + 5/192 x y z, COEFF(-2, 0, 2) = + 576 + + 2 2 2 3 + 7/432 y z - 1/48 x z + 1/36 x z - 1/144 z - 1/24 z + 7/144 z + + 3 2 2 2 2 2 2 2 2 + - 1/108 z y - 7/18 x y z - 7/108 x y z + 7/144 x y z + 7/24 x y z + + 3 2 3 3 3 2 49 2 3 49 2 2 3 + + 7/36 y x z + 1/27 z y x - 1/36 z y x + --- x y z - --- x y z + 108 144 + + 3 3 2 3 49 2 3 3 3 2 + - 7/27 y x z + 7/48 x z - --- y z + 7/108 y z + 1/6 x z + 432 + + 2 2 3 2 3 2 2 3 2 3 + - 1/8 x z + 2/9 y x z - 1/6 y x z - 1/18 y z - 7/36 x z + + 2 2 2 2 + + 7/72 y z , COEFF(-1, 0, 2) = - 7/54 y z + 7/48 x z - 5/24 x z + + 2 3 3 35 2 2 35 2 + + 1/18 z + 1/3 z - 7/18 z + 2/27 z y + -- x y z + -- x y z + 12 72 + + 49 2 2 49 2 2 2 49 3 2 3 3 3 2 + - --- x y z - -- x y z - -- y x z - 5/18 z y x + 7/36 z y x + 144 24 36 + + 245 2 3 343 2 2 3 35 3 3 49 2 3 49 2 3 14 3 3 + - --- x y z + --- x y z + -- y x z - -- x z + -- y z - -- y z + 72 144 18 48 54 27 + + 2 2 2 3 2 3 2 2 3 2 35 3 + - 5/4 x z + 7/8 x z - 5/3 y x z + 7/6 y x z + 4/9 y z + -- x z + 24 + + 2 2 3 2 2 2 2 2 3 + - 7/9 y z , COEFF(0, 0, 2) = - 4/9 z y x - 2 x z - 49/9 x y z + + 2 3 3 2 2 2 2 2 2 2 3 2 3 + + 7/3 x z - 8/3 y x z + 7/9 x y z + 14/3 x y z + 28/9 y x z + + 98 3 3 3 2 49 2 49 3 14 3 + - -- y x z + 28/9 y x z - -- x y z - -- x z + -- z y x + 27 54 18 27 + + 2 2 2 343 2 3 2 + - 49/9 x y z - 1/3 x z + 7/18 x z + --- x y z + 7/3 x z , + 54 + + 2 2 2 + COEFF(1, 0, 2) = 7/54 y z + 1/3 x z - 5/18 x z - 1/18 z - 1/3 z + + 3 3 2 2 35 2 2 2 + + 7/18 z - 2/27 z y + 35/9 x y z + -- x y z - 7/9 x y z + 54 + + 2 2 2 3 2 3 10 3 3 2 245 2 3 + - 14/3 x y z - 28/9 y x z - -- z y x + 4/9 z y x - --- x y z + 27 54 + + 2 2 3 70 3 3 2 3 49 2 3 14 3 3 2 + + 49/9 x y z + -- y x z - 7/3 x z - -- y z + -- y z - 5/3 x z + 27 54 27 + + 2 2 3 2 3 2 2 3 2 35 3 2 2 + + 2 x z - 20/9 y x z + 8/3 y x z - 4/9 y z + -- x z + 7/9 y z , + 18 + + 2 2 2 + COEFF(2, 0, 2) = - 7/432 y z - 7/48 x z + 1/12 x z + 1/144 z + 1/24 z + + 3 3 2 2 2 49 2 2 + - 7/144 z + 1/108 z y - 7/6 x y z - 7/36 x y z + --- x y z + 144 + + 49 2 2 2 49 3 2 3 3 3 2 49 2 3 + + -- x y z + -- y x z + 1/9 z y x - 7/36 z y x + -- x y z + 24 36 36 + + 343 2 2 3 3 3 49 2 3 49 2 3 3 3 + - --- x y z - 7/9 y x z + -- x z + --- y z - 7/108 y z + 144 48 432 + + 2 2 2 3 2 3 2 2 3 2 + + 1/2 x z - 7/8 x z + 2/3 y x z - 7/6 y x z + 1/18 y z + + 3 2 2 3 2 + - 7/12 x z - 7/72 y z , COEFF(3, 0, 2) = 7/72 x z + 1/48 x z + + 49 2 3 3 2 49 2 2 3 2 2 2 3 2 + - --- x y z - 1/9 y x z + --- x y z - 7/24 x y z + 1/36 z y x + 216 144 + + 3 3 2 2 3 2 2 3 2 3 + + 7/54 y x z - 1/12 x z + 7/216 x y z + 1/6 y x z - 7/36 y x z + + 2 3 2 2 2 2 3 + - 7/48 x z + 1/8 x z - 1/72 x z + 7/36 x y z - 1/54 z y x + + 2 2 2 3 + - 7/144 x y z, COEFF(-2, 1, 2) = - 5/432 y z - 1/216 y z + 1/108 z y + + 2 2 2 2 2 2 + + 5/18 x y z + 1/54 x y z - 1/72 x y z + 5/108 x y z - 5/144 x y z + + 2 2 2 2 2 2 2 3 3 + - 1/12 x y z + 1/9 x y z - 5/24 x y z + 7/72 x y z - 7/54 x y z + + 3 2 3 3 3 2 35 2 3 35 2 2 3 + - 7/36 y x z - 1/27 z y x + 1/36 z y x - --- x y z + --- x y z + 108 144 + + 3 3 35 2 3 3 3 3 2 3 + + 7/27 y x z + --- y z - 7/108 y z - 2/9 y x z + 7/216 y z + 432 + + 3 2 2 3 2 2 2 2 + + 1/6 y x z + 1/18 y z - 1/36 y z - 5/72 y z , COEFF(-1, 1, 2) = + + 2 3 25 2 2 2 + 5/54 y z + 1/27 y z - 2/27 z y - -- x y z - 5/36 x y z + 7/72 x y z + 12 + + 25 2 35 2 2 2 2 2 35 2 2 2 + - -- x y z + --- x y z + 7/12 x y z - 5/6 x y z + -- x y z + 72 144 24 + + 49 2 3 35 3 49 3 2 3 3 3 2 + - -- x y z + -- x y z + -- y x z + 5/18 z y x - 7/36 z y x + 72 36 36 + + 175 2 3 245 2 2 3 35 3 3 35 2 3 14 3 3 + + --- x y z - --- x y z - -- y x z - -- y z + -- y z + 72 144 18 54 27 + + 3 2 3 3 2 2 3 2 2 + + 5/3 y x z - 7/27 y z - 7/6 y x z - 4/9 y z + 2/9 y z + + 2 2 49 3 2 245 2 3 + + 5/9 y z , COEFF(0, 1, 2) = - -- x y z + 14/9 x y z - --- x y z + 27 54 + + 14 3 2 2 2 3 2 3 + - -- z y x + 35/9 x y z - 2/9 x y z + 7/27 x y z - 28/9 y x z + 27 + + 2 2 3 2 2 2 2 2 3 2 35 2 + - 5/9 x y z + 8/3 y x z - 10/3 x y z - 28/9 y x z + -- x y z + 54 + + 2 3 2 2 2 2 3 3 2 98 3 3 + + 14/9 x y z - 4/3 x y z + 35/9 x y z + 4/9 z y x + -- y x z , + 27 + + 2 3 2 2 + COEFF(1, 1, 2) = - 5/54 y z - 1/27 y z + 2/27 z y - 25/9 x y z + + 2 25 2 2 2 2 2 + - 5/27 x y z + 2/9 x y z - -- x y z + 5/9 x y z + 4/3 x y z + 54 + + 2 2 2 2 2 3 35 3 3 2 3 + - 10/9 x y z + 10/3 x y z - 14/9 x y z + -- x y z + 28/9 y x z + 27 + + 10 3 3 2 175 2 3 2 2 3 70 3 3 + + -- z y x - 4/9 z y x + --- x y z - 35/9 x y z - -- y x z + 27 54 27 + + 35 2 3 14 3 3 3 2 3 3 2 2 + + -- y z - -- y z + 20/9 y x z + 7/27 y z - 8/3 y x z + 54 27 + + 3 2 2 2 2 2 + + 4/9 y z - 2/9 y z - 5/9 y z , COEFF(2, 1, 2) = 5/432 y z + + 3 2 2 2 + + 1/216 y z - 1/108 z y + 5/6 x y z + 1/18 x y z - 7/72 x y z + + 2 35 2 2 2 2 2 35 2 2 2 + + 5/36 x y z - --- x y z - 7/12 x y z + 1/3 x y z - -- x y z + 144 24 + + 49 2 3 3 49 3 2 3 3 3 2 + + -- x y z - 7/18 x y z - -- y x z - 1/9 z y x + 7/36 z y x + 72 36 + + 35 2 3 245 2 2 3 3 3 35 2 3 3 3 + - -- x y z + --- x y z + 7/9 y x z - --- y z + 7/108 y z + 36 144 432 + + 3 2 3 3 2 2 3 2 2 + - 2/3 y x z - 7/216 y z + 7/6 y x z - 1/18 y z + 1/36 y z + + 2 2 3 3 35 2 3 2 + + 5/72 y z , COEFF(3, 1, 2) = - 7/54 y x z + --- x y z - 1/18 x y z + 216 + + 2 2 2 3 2 2 2 3 + + 1/12 x y z - 5/216 x y z - 1/6 y x z - 7/72 x y z + + 2 2 2 3 35 2 2 3 2 2 + + 5/24 x y z + 7/108 x y z - --- x y z - 1/108 x y z - 5/36 x y z + 144 + + 3 2 3 2 3 2 3 2 2 + + 1/9 y x z + 1/54 z y x + 1/72 x y z + 7/36 y x z + 5/144 x y z + + 3 2 2 3 + - 1/36 z y x , COEFF(-2, 2, 2) = 1/288 y z + 1/1728 y z - 7/1728 z y + + 2 2 2 2 2 2 + - 1/12 x y z - 1/432 x y z + 1/576 x y z - 1/72 x y z + 1/96 x y z + + 2 2 2 2 2 2 2 3 + + 1/96 x y z - 1/72 x y z + 1/16 x y z - 7/576 x y z + + 3 49 3 2 3 3 3 2 + + 7/432 x y z + --- y x z + 7/432 z y x - 7/576 z y x + 576 + + 2 3 2 2 3 49 3 3 2 3 49 3 3 + + 7/72 x y z - 7/96 x y z - --- y x z - 7/288 y z + ---- y z + 432 1728 + + 3 2 3 3 2 2 3 2 2 + + 7/72 y x z - 7/1728 y z - 7/96 y x z - 7/288 y z + 1/288 y z + + 2 2 2 3 + + 1/48 y z , COEFF(-1, 2, 2) = - 1/36 y z - 1/216 y z + 7/216 z y + + 2 2 2 2 2 2 + + 5/8 x y z + 5/288 x y z - 7/576 x y z + 5/48 x y z - 7/96 x y z + + 2 2 2 2 2 2 49 2 3 35 3 + - 7/96 x y z + 5/48 x y z - 7/16 x y z + --- x y z - --- x y z + 576 288 + + 343 3 2 3 35 3 49 3 2 35 2 3 49 2 2 3 + - --- y x z - --- z y x + --- z y x - -- x y z + -- x y z + 576 288 576 48 96 + + 245 3 3 2 3 49 3 3 35 3 2 3 + + --- y x z + 7/36 y z - --- y z - -- y x z + 7/216 y z + 288 216 48 + + 49 3 2 2 3 2 2 2 2 + + -- y x z + 7/36 y z - 1/36 y z - 1/6 y z , COEFF(0, 2, 2) = + 96 + + 2 2 3 2 2 2 2 49 3 2 3 49 3 + 1/6 x y z - 7/6 y x z + 1/6 x y z + -- y x z + --- x y z + 36 216 + + 2 343 3 3 3 2 2 2 + + 1/36 x y z - --- y x z - 7/36 z y x - 7/6 x y z - 7/216 x y z + 216 + + 49 3 2 2 2 2 49 3 2 2 2 3 + + -- y x z + x y z + --- z y x - 7/36 x y z - 7/6 x y z + 36 216 + + 2 2 3 49 2 3 2 + - 7/36 x y z - 7/36 x y z + -- x y z , COEFF(1, 2, 2) = 1/36 y z + 36 + + 3 2 2 2 + + 1/216 y z - 7/216 z y + 5/6 x y z + 5/216 x y z - 1/36 x y z + + 2 2 2 2 2 2 2 2 2 + + 5/36 x y z - 1/6 x y z - 1/6 x y z + 5/36 x y z - x y z + + 2 3 35 3 49 3 2 3 35 3 3 2 + + 7/36 x y z - --- x y z - -- y x z - --- z y x + 7/36 z y x + 216 36 216 + + 35 2 3 2 2 3 245 3 3 2 3 49 3 3 + - -- x y z + 7/6 x y z + --- y x z - 7/36 y z + --- y z + 36 216 216 + + 35 3 2 3 3 2 2 3 2 2 + - -- y x z - 7/216 y z + 7/6 y x z - 7/36 y z + 1/36 y z + 36 + + 2 2 2 3 + + 1/6 y z , COEFF(2, 2, 2) = - 1/288 y z - 1/1728 y z + 7/1728 z y + + 2 2 2 2 2 2 + - 1/4 x y z - 1/144 x y z + 7/576 x y z - 1/24 x y z + 7/96 x y z + + 2 2 2 2 2 2 49 2 3 3 + + 7/96 x y z - 1/24 x y z + 7/16 x y z - --- x y z + 7/144 x y z + 576 + + 343 3 2 3 3 49 3 2 2 3 49 2 2 3 + + --- y x z + 7/144 z y x - --- z y x + 7/24 x y z - -- x y z + 576 576 96 + + 49 3 3 2 3 49 3 3 3 2 3 + - --- y x z + 7/288 y z - ---- y z + 7/24 y x z + 7/1728 y z + 144 1728 + + 49 3 2 2 3 2 2 2 2 + - -- y x z + 7/288 y z - 1/288 y z - 1/48 y z , COEFF(3, 2, 2) = + 96 + + 3 2 2 2 2 2 2 2 3 + 7/576 z y x - 1/96 x y z - 1/16 x y z + 1/144 x y z - 7/864 z y x + + 2 3 2 2 2 3 + - 1/576 x y z - 7/144 y x z + 1/144 x y z - 7/144 x y z + + 49 3 3 3 2 2 49 3 2 3 2 2 3 + + --- y x z + 7/96 y x z + 1/864 x y z - --- y x z + 7/96 x y z + 864 576 + + 3 2 2 2 2 2 3 + - 7/864 x y z + 1/24 x y z - 1/96 x y z + 7/576 x y z , + + 3 2 2 3 3 3 2 3 + COEFF(-2, 3, 2) = 1/1728 z y - 1/288 y z - 7/1728 y z - 7/576 y x z + + 2 3 2 3 3 2 2 3 2 + + 1/432 x y z - 1/432 z y x + 7/1728 y z + 1/96 y x z + 1/288 y z + + 3 3 3 2 2 2 3 + + 7/432 y x z + 1/576 z y x - 1/1728 y z - 7/432 x y z + + 2 2 3 2 2 2 3 2 2 2 + + 1/72 x y z - 1/72 y x z + 7/576 x y z - 1/96 x y z + + 2 2 3 2 2 3 + - 1/576 x y z, COEFF(-1, 3, 2) = - 7/96 y x z + 5/288 z y x + + 2 2 2 3 2 2 2 49 2 2 3 + - 5/288 x y z + 7/576 x y z - 1/36 y z - 5/48 x y z - --- x y z + 576 + + 3 2 2 2 3 49 3 2 3 2 + - 1/216 z y + 1/36 y z - 7/216 y z + --- y x z + 1/216 y z + 576 + + 35 3 3 3 3 3 2 3 2 2 2 2 + - --- y x z + 7/216 y z + 5/48 y x z - 7/576 z y x + 7/96 x y z + 288 + + 35 2 3 2 2 3 2 + + --- x y z , COEFF(0, 3, 2) = 7/36 x y z - 7/216 z y x + 7/216 x y z + 288 + + 49 2 3 3 2 2 2 3 2 3 2 2 2 + - --- x y z - 7/36 y x z - 1/36 x y z - 7/36 y x z - 1/6 x y z + 216 + + 3 2 2 2 3 49 3 3 3 2 2 + + 1/36 z y x + 7/36 x y z + --- y x z + 1/6 y x z , + 216 + + 2 2 2 3 2 35 2 3 + COEFF(1, 3, 2) = 1/36 x y z + 7/216 y z - 5/216 x y z + --- x y z + 216 + + 3 2 2 2 3 3 2 2 2 3 3 + - 1/36 z y x - 7/36 x y z + 5/36 y x z - 5/36 x y z - 7/216 y z + + 35 3 3 3 2 2 3 2 3 3 + - --- y x z + 1/36 y z - 1/216 y z + 7/36 y x z + 5/216 z y x + 216 + + 3 2 2 2 2 2 3 2 2 + + 1/216 z y + 1/6 x y z - 1/36 y z - 1/6 y x z , COEFF(2, 3, 2) = + + 3 2 3 2 2 3 49 2 2 3 3 3 + - 1/288 y z + 7/96 y x z - 1/1728 z y + --- x y z + 7/144 y x z + 576 + + 2 3 2 2 3 3 + + 1/1728 y z + 7/576 z y x - 7/144 x y z - 1/144 z y x + + 2 3 3 3 3 2 2 2 2 2 + - 7/1728 y z + 7/1728 y z - 1/24 y x z + 1/288 y z + 1/24 x y z + + 49 3 2 3 2 2 2 2 2 2 + - --- y x z - 7/96 x y z + 1/144 x y z - 7/576 x y z, + 576 + + 3 3 3 2 + COEFF(3, 3, 2) = - 7/864 y x z + 1/864 z y x - 1/864 x y z + + 2 2 3 2 2 3 2 2 2 2 + - 1/144 x y z - 1/96 y x z + 1/144 y x z + 1/96 x y z + + 2 2 2 3 2 2 3 3 2 3 + + 1/576 x y z + 7/864 x y z - 7/576 x y z + 7/576 y x z + + 3 2 2 2 3 3 3 + - 1/576 z y x , COEFF(-2, -2, 3) = 1/288 x y z - 1/1728 y z + + 3 2 3 3 2 3 2 2 + - 1/432 y x z + 1/432 x y z - 1/576 y x z - 1/864 y z + + 2 3 2 3 2 3 2 2 2 + - 1/576 x y z + 1/864 y z - 1/216 x y z - 1/288 x y z + + 3 2 2 2 3 2 2 + + 1/1728 y z + 1/576 x y z - 1/1728 y z + 1/216 x y z + + 2 3 3 2 3 2 2 + - 1/432 x y z + 1/432 y x z + 1/1728 y z + 1/576 y x z , + + 3 3 3 2 2 2 3 + COEFF(-1, -2, 3) = - 5/288 x y z + 1/216 y z + 1/108 y z - 1/108 y z + + 2 2 3 2 2 3 2 2 2 2 + - 7/288 x y z - 5/144 x y z - 1/216 y z + 7/288 x y z + + 3 2 3 3 3 2 3 2 + + 7/576 y x z - 5/288 y x z + 5/144 x y z + 5/288 x y z + + 2 3 2 2 3 3 2 2 + + 7/576 x y z - 7/576 x y z + 1/216 y z + 5/288 y x z - 1/216 y z + + 3 2 2 3 2 3 + - 7/576 y x z , COEFF(0, -2, 3) = 7/216 x y z - 7/108 x y z + + 2 2 3 2 3 2 2 2 3 3 + + 7/108 x y z - 1/36 y x z - 1/18 x y z + 7/216 y x z + + 2 2 3 3 2 2 3 2 2 + + 1/18 x y z - 7/216 y x z - 7/216 x y z + 1/36 y x z + + 2 2 2 3 2 3 + + 1/36 x y z - 1/36 x y z , COEFF(1, -2, 3) = 1/108 y z + + 2 3 3 2 2 3 2 2 2 + + 5/108 x y z - 1/216 y z - 1/108 y z + 1/216 y z - 1/36 x y z + + 2 3 2 3 3 3 3 + + 5/216 x y z + 1/36 y x z - 1/216 y z - 5/216 x y z + + 3 2 2 2 2 2 2 3 3 + - 1/36 y x z + 1/18 x y z + 1/216 y z - 5/216 y x z + + 2 3 3 2 2 2 2 2 3 + + 1/36 x y z + 5/216 y x z - 5/108 x y z - 1/18 x y z , + + 2 3 2 3 2 + COEFF(2, -2, 3) = - 7/576 x y z - 1/144 x y z - 1/1728 y z + + 2 2 3 3 3 2 3 3 + + 1/72 x y z + 1/1728 y z - 7/576 y x z + 1/144 x y z + + 2 2 2 3 2 2 3 2 2 + - 7/288 x y z - 1/144 y x z - 1/864 y z + 1/864 y z + + 2 2 3 3 2 2 3 3 3 + + 7/288 x y z + 7/576 y x z + 1/144 y x z + 1/1728 y z + + 2 3 2 2 2 + - 1/72 x y z + 7/576 x y z - 1/1728 y z , COEFF(3, -2, 3) = + + 3 2 3 3 2 2 2 2 3 3 + 1/576 y x z - 1/576 y x z - 1/288 x y z - 1/864 x y z + + 2 2 2 3 2 3 2 2 + - 1/576 x y z + 1/432 x y z + 1/576 x y z - 1/432 x y z + + 2 2 2 3 2 2 3 3 + + 1/288 x y z + 1/864 y x z + 1/864 x y z - 1/864 y x z , + + 2 3 3 2 2 + COEFF(-2, -1, 3) = - 5/576 y z - 1/54 x y z - 5/144 x y z + + 2 2 3 2 3 3 3 3 3 + + 5/576 y z - 7/1728 y z - 7/432 y x z + 1/216 y z + 7/1728 y z + + 2 2 2 2 2 3 2 3 2 + - 1/216 y z + 5/192 x y z + 1/72 x y z + 5/144 x y z + 1/54 x y z + + 3 2 2 3 2 3 3 2 2 2 + - 7/576 y x z + 7/576 y x z + 7/432 y x z - 1/72 x y z + + 2 2 3 2 2 2 3 + - 5/192 x y z , COEFF(-1, -1, 3) = 7/72 x y z - 7/72 x y z + + 3 2 3 3 35 2 2 3 3 35 3 2 + + 7/216 y z - 7/216 y z + --- x y z + 5/36 x y z - --- y x z + 192 288 + + 2 3 2 35 3 3 25 2 3 3 + + 5/72 y z + 1/27 y z + --- y x z - -- x y z - 1/27 y z + 288 96 + + 49 3 2 3 35 2 2 2 2 49 3 2 2 25 2 2 + - --- y x z - --- x y z - 5/36 x y z + --- y x z + -- x y z + 576 192 576 96 + + 2 2 2 2 2 35 2 3 2 2 + - 5/72 y z , COEFF(0, -1, 3) = 5/12 x y z + -- x y z - 2/9 x y z + 72 + + 3 2 3 2 2 3 2 3 49 3 3 + + 7/36 y x z - 5/12 x y z + 2/9 x y z - --- y x z + 216 + + 3 2 2 35 2 2 2 3 49 3 2 + - 7/36 y x z - -- x y z + 7/27 x y z - 7/27 x y z + --- y x z , + 72 216 + + 2 2 3 35 3 3 3 3 + COEFF(1, -1, 3) = 5/72 y z + 1/27 y z + --- y x z + 7/216 y z + 216 + + 2 3 3 2 3 25 2 2 2 3 + - 2/9 x y z - 7/216 y z + 5/27 x y z + -- x y z - 5/72 y z + 72 + + 2 3 2 3 2 2 2 2 3 3 2 2 + - 1/27 y z - 7/36 y x z + 2/9 x y z + 5/12 x y z + 7/36 y x z + + 25 2 3 2 35 3 2 2 2 2 + - -- x y z - 5/27 x y z - --- y x z - 5/12 x y z , COEFF(2, -1, 3) + 72 216 + + 2 3 2 3 2 2 2 35 2 2 2 + = 7/72 x y z + 5/576 y z - 7/72 x y z + 1/18 x y z + --- x y z + 192 + + 3 3 2 2 3 3 2 2 2 + - 7/1728 y z - 5/576 y z - 1/216 y z + 7/1728 y z - 5/48 x y z + + 3 3 2 3 49 3 2 3 3 2 + - 7/144 y x z + 5/48 x y z + --- y x z + 7/144 y x z + 576 + + 3 35 2 2 3 49 3 2 2 2 + - 1/18 x y z - --- x y z - --- y x z + 1/216 y z , COEFF(3, -1, 3) + 192 576 + + 3 2 2 2 3 2 2 + = 1/108 x y z + 5/288 x y z - 1/72 x y z + 1/72 x y z + + 2 3 2 2 2 2 3 3 2 3 + - 1/108 x y z + 7/576 y x z + 5/192 x y z - 7/576 y x z + + 3 2 3 3 2 2 2 2 3 + - 7/864 y x z + 7/864 y x z - 5/192 x y z - 5/288 x y z , + + 2 3 2 3 2 2 3 2 + COEFF(-2, 0, 3) = - 7/108 x y z + 1/144 z + 1/36 y x z + 1/108 y z + + 2 2 2 2 2 2 2 3 3 2 3 + - 7/144 x y z + 7/108 x y z - 7/432 y z - 1/108 y z + 7/432 y z + + 2 2 3 3 3 2 2 3 2 3 + + 1/48 x z + 1/36 x z + 1/27 y x z + 7/144 x y z - 1/48 x z + + 3 2 2 3 3 2 3 + - 1/27 y x z - 1/36 x z - 1/144 z - 1/36 y x z , COEFF(-1, 0, 3) = + + 3 3 49 2 2 2 3 2 2 3 3 2 + 2/27 y z + --- x y z - 7/36 y x z - 5/24 x z + 1/18 z + 5/24 x z + 144 + + 2 3 2 3 49 2 2 3 35 2 3 35 2 2 + - 1/18 z + 7/36 y x z - --- x y z + -- x y z - -- x y z + 144 72 72 + + 3 2 2 3 2 2 3 3 2 2 + - 2/27 y z - 7/54 y z - 7/48 x z - 5/18 y x z + 7/54 y z + + 3 2 2 3 2 2 49 2 2 + + 5/18 y x z + 7/48 x z , COEFF(0, 0, 3) = 1/3 x z + -- x y z + 54 + + 3 2 2 49 2 3 2 2 3 3 14 3 2 + + 4/9 y x z - -- x y z + 7/9 x y z + 7/18 x z - -- y x z + 54 27 + + 2 3 2 3 2 3 14 3 3 2 2 2 + - 7/18 x z - 4/9 y x z - 1/3 x z + -- y x z - 7/9 x y z , + 27 + + 2 2 3 10 3 2 3 3 2 3 + COEFF(1, 0, 3) = - 7/9 x y z + -- y x z - 2/27 y z + 7/54 y z + 27 + + 2 2 3 35 2 3 2 3 2 2 2 + - 7/54 y z - 5/18 x z + -- x y z + 1/18 z - 4/9 y x z + 5/18 x z + 54 + + 2 2 2 35 2 2 3 2 10 3 3 2 2 + + 7/9 x y z - -- x y z + 2/27 y z - -- y x z - 1/3 x z + 54 27 + + 2 3 3 2 3 3 2 3 + + 1/3 x z + 4/9 y x z - 1/18 z , COEFF(2, 0, 3) = - 7/48 x z + + 2 3 2 2 2 49 2 2 2 3 2 + - 1/12 x z + 7/36 y x z - 1/144 z - --- x y z - 1/9 y x z + 144 + + 3 3 3 2 3 3 3 3 + + 1/108 y z - 1/108 y z + 1/12 x z + 1/144 z + 1/9 y x z + + 2 3 2 2 2 3 49 2 2 3 3 2 3 + - 7/36 x y z + 7/432 y z - 7/432 y z + --- x y z - 7/36 y x z + 144 + + 2 2 2 2 2 2 2 3 + + 7/36 x y z + 7/48 x z , COEFF(3, 0, 3) = - 1/48 x z + 1/48 x z + + 3 2 2 3 2 2 2 2 2 3 + - 1/36 y x z + 1/54 y x z - 7/216 x y z - 7/144 x y z + + 2 2 2 2 3 3 2 3 3 + + 7/144 x y z + 7/216 x y z + 1/36 y x z - 1/72 x z + + 3 3 2 3 3 3 2 2 + - 1/54 y x z + 1/72 x z , COEFF(-2, 1, 3) = 1/108 y z - 1/36 y x z + + 2 2 2 2 2 3 2 2 + - 1/54 x y z + 5/144 x y z + 1/216 y z + 1/54 x y z + 5/432 y z + + 3 2 3 2 3 3 2 2 2 3 + + 1/36 y x z - 5/432 y z - 1/108 y z - 5/144 x y z + + 2 3 2 2 2 2 2 3 + + 5/108 x y z - 5/108 x y z + 1/72 x y z - 1/72 x y z + + 3 2 3 3 3 2 + + 1/27 y x z - 1/27 y x z - 1/216 y z , COEFF(-1, 1, 3) = - 1/27 y z + + 3 3 3 2 2 2 3 3 2 + + 5/18 y x z + 7/36 y x z + 5/36 x y z + 1/27 y z + 2/27 y z + + 3 2 25 2 3 2 2 35 2 2 2 2 3 + - 5/18 y x z - -- x y z - 7/72 x y z - --- x y z + 5/54 y z + 72 144 + + 25 2 2 2 3 3 3 2 3 35 2 2 3 + + -- x y z + 7/72 x y z - 5/36 x y z - 7/36 y x z + --- x y z + 72 144 + + 2 2 3 3 35 2 2 14 3 2 + - 5/54 y z - 2/27 y z , COEFF(0, 1, 3) = - -- x y z + -- y x z + 54 27 + + 14 3 3 2 2 3 2 2 3 2 3 35 2 3 + - -- y x z - 5/9 x y z + 2/9 x y z + 4/9 y x z + -- x y z + 27 54 + + 2 2 2 2 3 3 2 2 2 3 + + 5/9 x y z - 2/9 x y z - 4/9 y x z - 7/27 x y z + 7/27 x y z , + + 3 2 3 3 3 10 3 2 2 2 + COEFF(1, 1, 3) = - 4/9 y x z + 2/27 y z - -- y x z + 5/54 y z + 27 + + 2 10 3 3 3 3 2 25 2 3 + + 1/27 y z + -- y x z - 1/27 y z - 2/27 y z - -- x y z + 27 54 + + 2 2 3 2 2 3 3 3 2 2 + + 5/9 x y z + 5/27 x y z - 5/54 y z - 5/27 x y z + 4/9 y x z + + 2 2 2 2 3 2 2 25 2 2 + - 5/9 x y z + 2/9 x y z - 2/9 x y z + -- x y z , COEFF(2, 1, 3) = + 54 + + 3 2 2 2 35 2 2 3 2 3 3 3 + 1/9 y x z + 7/72 x y z - --- x y z + 5/36 x y z - 1/108 y z + 144 + + 2 2 3 2 2 2 3 2 3 3 + - 5/36 x y z - 7/36 y x z - 1/18 x y z + 1/108 y z - 1/9 y x z + + 2 2 3 2 3 3 2 3 2 3 + - 5/432 y z + 7/36 y x z + 1/216 y z - 7/72 x y z + 5/432 y z + + 3 2 35 2 2 2 2 2 3 + + 1/18 x y z - 1/216 y z + --- x y z , COEFF(3, 1, 3) = 5/144 x y z + 144 + + 2 3 3 2 2 3 3 2 2 + - 5/216 x y z + 1/36 y x z + 1/54 y x z - 1/72 x y z + + 3 3 2 2 2 2 3 + - 1/108 x y z - 1/54 y x z + 5/216 x y z + 1/72 x y z + + 3 2 3 2 2 2 2 + - 1/36 y x z + 1/108 x y z - 5/144 x y z , COEFF(-2, 2, 3) = + + 3 3 3 2 2 2 2 2 2 2 3 + 7/432 y x z + 7/576 y x z - 1/96 x y z + 1/96 x y z + + 2 2 2 2 2 3 2 2 + - 1/576 x y z + 1/72 x y z + 1/576 x y z - 1/288 y z + + 3 2 2 3 3 3 3 2 3 + + 7/1728 y z - 1/72 x y z + 1/1728 y z - 7/1728 y z + 1/288 y z + + 3 2 3 2 3 2 + - 1/432 x y z + 1/432 x y z - 7/576 y x z - 1/1728 y z + + 3 2 3 2 + - 7/432 y x z , COEFF(-1, 2, 3) = - 1/216 y z + 1/216 y z + + 2 2 3 3 2 2 49 3 2 3 + - 7/96 x y z + 5/288 x y z + 7/576 x y z + --- y x z + 576 + + 35 3 3 2 2 2 35 3 2 2 3 2 3 + - --- y x z + 7/96 x y z + --- y x z - 7/576 x y z + 5/48 x y z + 288 288 + + 3 3 49 3 2 2 3 2 2 2 2 3 + + 7/216 y z - --- y x z - 7/216 y z - 5/48 x y z - 1/36 y z + 576 + + 2 2 2 2 3 2 2 + - 5/288 x y z + 1/36 y z , COEFF(0, 2, 3) = 1/36 x y z + 7/36 x y z + + 3 2 2 2 2 2 3 49 3 2 2 + + 7/36 y x z - 1/6 x y z - 7/216 x y z - --- y x z + 7/216 x y z + 216 + + 3 2 3 2 3 2 2 3 49 3 3 2 2 + - 7/36 y x z - 7/36 x y z + 1/6 x y z + --- y x z - 1/36 x y z + 216 + + 2 3 2 2 2 2 3 2 + , COEFF(1, 2, 3) = 1/36 y z - 1/36 y z - 1/6 x y z - 1/216 y z + + 3 2 35 3 3 2 2 2 2 3 + + 7/216 y z - --- y x z - 5/36 x y z + 1/36 x y z + 1/216 y z + 216 + + 2 2 2 2 3 3 3 3 3 2 2 + + 1/6 x y z + 5/36 x y z + 5/216 x y z - 7/216 y z - 7/36 y x z + + 2 2 3 35 3 2 3 2 3 + - 5/216 x y z - 1/36 x y z + --- y x z + 7/36 y x z , + 216 + + 3 2 2 2 2 + COEFF(2, 2, 3) = - 7/144 y x z - 7/576 x y z + 1/144 x y z + + 2 3 2 2 3 2 3 3 2 + + 7/576 x y z + 1/288 y z - 1/144 x y z - 1/24 x y z - 7/1728 y z + + 2 2 2 2 2 2 3 3 3 3 + + 1/24 x y z - 7/96 x y z - 1/288 y z - 1/1728 y z + 7/1728 y z + + 49 3 2 3 3 3 2 2 3 49 3 2 2 + - --- y x z + 7/144 y x z + 7/96 x y z + --- y x z + 576 576 + + 2 2 3 3 2 + + 1/1728 y z , COEFF(3, 2, 3) = - 1/576 x y z + 7/864 y x z + + 2 2 2 2 2 3 2 2 2 + + 1/576 x y z + 1/96 x y z - 7/576 y x z - 1/864 x y z + + 2 2 3 3 2 3 3 3 2 3 + - 1/96 x y z + 7/576 y x z - 7/864 y x z + 1/144 x y z + + 3 2 2 2 2 3 + + 1/864 x y z - 1/144 x y z , COEFF(-2, 3, 3) = - 1/576 x y z + + 3 3 2 2 2 2 2 3 2 + + 1/1728 y z + 1/576 x y z + 1/1728 y z - 1/1728 y z + + 3 2 2 2 3 3 3 2 3 + + 1/432 y x z - 1/432 x y z - 1/432 y x z + 1/576 y x z + + 2 3 3 2 2 2 3 + + 1/432 x y z - 1/576 y x z - 1/1728 y z , COEFF(-1, 3, 3) = + + 2 2 2 2 2 3 2 3 2 3 + - 7/576 x y z + 7/576 x y z + 1/216 y z - 5/288 x y z + + 2 2 3 2 2 3 2 2 2 + + 5/288 x y z + 7/576 y x z - 5/288 y x z - 1/216 y z + + 3 3 3 2 3 3 2 3 3 + - 1/216 y z - 7/576 y x z + 1/216 y z + 5/288 y x z , + + 2 2 3 2 2 2 2 2 + COEFF(0, 3, 3) = - 1/36 x y z + 1/36 x y z - 7/216 x y z + + 3 3 2 3 3 2 2 3 2 3 + - 7/216 y x z + 7/216 x y z - 1/36 y x z + 1/36 y x z + + 3 2 2 2 2 2 3 + + 7/216 y x z , COEFF(1, 3, 3) = - 1/36 x y z - 5/216 x y z + + 3 3 3 2 3 2 2 2 2 3 2 + + 1/216 y z - 1/216 y z + 1/36 y x z + 1/216 y z - 5/216 y x z + + 2 2 3 2 3 3 3 3 2 3 + + 1/36 x y z - 1/216 y z + 5/216 y x z - 1/36 y x z + + 2 2 3 3 2 3 + + 5/216 x y z , COEFF(2, 3, 3) = - 1/1728 y z + 1/1728 y z + + 3 3 2 2 3 2 2 2 2 3 + - 1/144 y x z - 7/576 x y z + 7/576 x y z + 1/144 x y z + + 3 2 3 2 2 2 3 2 2 + + 1/144 y x z + 1/1728 y z - 1/1728 y z - 7/576 y x z + + 3 2 3 2 2 3 2 2 + + 7/576 y x z - 1/144 x y z , COEFF(3, 3, 3) = 1/576 y x z + + 2 2 3 2 3 3 2 3 3 2 + + 1/576 x y z - 1/864 x y z - 1/576 y x z - 1/864 y x z + + 3 3 2 2 2 2 2 + + 1/864 y x z - 1/576 x y z + 1/864 x y z ] + +> print_coeff__lc_of_data(%, "coeff_dx_", "fp", +> "3d.coeffs/3d.cube.order3/coeff-dx.compute.c"); +bytes used=8537180784, alloc=54253872, time=1713.84 +bytes used=8538181512, alloc=54253872, time=1713.94 +bytes used=8539181692, alloc=54253872, time=1714.04 +bytes used=8540181924, alloc=54253872, time=1714.14 +bytes used=8541182212, alloc=54253872, time=1714.24 +bytes used=8542182384, alloc=54253872, time=1714.34 +bytes used=8543182560, alloc=54253872, time=1714.45 +bytes used=8544182844, alloc=54253872, time=1714.55 +bytes used=8545183016, alloc=54253872, time=1714.65 +bytes used=8546183432, alloc=54253872, time=1714.75 +bytes used=8547183616, alloc=54253872, time=1714.86 +bytes used=8548183796, alloc=54253872, 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1/432 x y z DATA(2, -2, -2) - 1/432 x y z DATA(-2, -2, -2) + + 80 3 2 2 + - -- x y z DATA(1, 1, 1) - 7/12 x y DATA(0, -2, 0) + 27 + + 3 3 + + 1/18 x y z DATA(1, 2, 3) + 7/54 x y z DATA(1, -2, -1) + + 3 3 + - 7/54 x y z DATA(1, -2, 2) + 1/54 x y z DATA(1, -2, 3) + + 3 3 + - 7/432 x y z DATA(2, -2, -1) + 7/432 x y z DATA(2, -2, 2) + + 3 3 + - 1/432 x y z DATA(2, -2, 3) + 5/288 x y z DATA(2, -1, 3) + + 3 3 + + 5/216 x y z DATA(2, 1, 3) - 1/144 x y z DATA(2, 2, 3) + + 2 2 2 2 2 2 + + 5/24 x y z DATA(2, 3, 1) + 10/3 x y z DATA(1, 1, 2) + + 2 2 2 2 2 + + 5/6 x y z DATA(-2, 1, -1) - 5/16 x y DATA(-1, 3, 0) + + 2 35 2 2 2 + + 1/108 x z DATA(1, 2, -2) + -- x y z DATA(2, -1, -1) + 32 + + 35 2 2 2 35 2 2 2 + - -- x y z DATA(2, 2, 1) - -- x y z DATA(2, 2, -1) + 24 32 + + 35 2 2 2 35 2 2 2 + + -- x y z DATA(-1, -1, 2) + -- x y z DATA(2, -1, 1) + 32 24 + + 2 2 2 2 + + 20/3 x y DATA(1, 0, 0) + 1/8 x y DATA(2, 3, 0) + + 2 2 2 2 + + 1/3 x y DATA(3, 0, 0) + 5 x y DATA(-1, 0, 0) + + 2 2 2 2 2 2 + - 7/8 x y DATA(2, 2, 0) - 5 x y DATA(-1, 1, 0) + 2 x y DATA(2, 1, 0) + + 2 2 2 2 + + 7/8 x y DATA(2, -1, 0) - 2/3 x y DATA(-2, 0, 0) + + 2 2 2 2 + - 28/3 x y DATA(0, 0, 0) + 28/3 x y DATA(0, 1, 0) + + 35 2 2 2 2 + - -- x y DATA(1, -1, 0) + 7/48 x y DATA(3, 2, 0) + 12 + + 2 2 2 2 + - 1/3 x y DATA(3, 1, 0) - 7/48 x y DATA(3, -1, 0) + + 2 2 35 2 2 + + 1/48 x y DATA(3, -2, 0) - -- x y DATA(-1, -1, 0) + 16 + + 49 2 2 49 2 2 + + -- x y DATA(0, -1, 0) - -- x y DATA(0, 2, 0) + 12 12 + + 35 2 2 2 2 + + -- x y DATA(-1, 2, 0) - 5/12 x y DATA(1, 3, 0) + 16 + + 2 2 2 2 2 + - 7/16 x y z DATA(2, -1, 2) + 7/12 x y DATA(0, 3, 0) + + 2 2 2 + + 1/864 x z DATA(-2, 2, -2) + 2/3 x y DATA(-2, 1, 0) + + 35 2 2 2 80 3 + + -- x y z DATA(1, -1, 2) + -- x y z DATA(1, 1, 0) + 24 27 + + 2 2 2 35 2 2 2 + + 7/16 x y z DATA(2, 2, 2) - -- x y z DATA(-1, 2, 2) + 32 + + 2 2 2 2 2 + - 1/24 x y DATA(-2, -2, 0) - 5/32 x y z DATA(-1, -2, 2) + + 25 2 2 2 2 2 2 + + -- x y z DATA(-1, -2, -1) - 5/12 x y z DATA(-1, 1, 3) + 64 + + 35 2 2 2 35 2 2 2 + - --- x y z DATA(-1, -1, 3) + --- x y z DATA(-1, 2, 3) + 192 192 + + 2 2 2 175 2 2 2 + - 7/288 x y z DATA(-2, 2, 3) - --- x y z DATA(1, -1, 1) + 36 + + 2 2 2 2 2 2 + + 5/2 x y z DATA(-1, 1, 2) - x y z DATA(2, 1, 2) + + 35 2 2 2 2 2 2 + - --- x y z DATA(1, -1, 3) - 5/9 x y z DATA(1, 1, 3) + 144 + + 2 2 2 2 + + 5/192 x y z DATA(-1, -2, 3) - 1/216 x z DATA(1, 2, 3) + + 2 2 2 + + 1/216 x z DATA(2, -1, 3) - 10/3 x y z DATA(-1, 0, -1) + + 2 2 2 2 + - 4/9 x y z DATA(1, 0, -2) - 1/18 x y z DATA(-2, 0, -2) + + 2 3 2 3 + - 7/72 x y z DATA(-1, 3, -1) + 7/72 x y z DATA(-1, 3, 2) + + 2 3 2 3 + - 1/72 x y z DATA(-1, 3, 3) - 7/72 x y z DATA(1, 3, 2) + + 2 3 2 3 + + 1/72 x y z DATA(1, 3, 3) + 7/72 x y z DATA(1, 3, -1) + + 2 2 2 2 + - 20/3 x y DATA(1, 1, 0) - 7/9 x y z DATA(2, 1, 0) + + 49 2 2 2 2 + - --- x y z DATA(2, -1, 0) - 1/36 x y z DATA(2, 0, 3) + 144 + + 2 2 2 2 + + 2/9 x y z DATA(1, 0, 3) - 2/9 x y z DATA(-1, 0, 3) + + 2 2 2 2 + + 1/36 x y z DATA(-2, 0, 3) - 1/6 x y z DATA(-2, 0, 2) + + 2 2 2 2 + - 7/9 x y z DATA(-2, 0, 0) + 7/9 x y z DATA(2, 0, 0) + + 2 2 2 2 + + 56/9 x y z DATA(1, 1, 0) + 10/3 x y z DATA(1, 0, -1) + + 2 2 2 2 + - 5/12 x y z DATA(2, 0, -1) - 40/9 x y z DATA(-1, 0, 1) + + 2 2 2 2 + - 1/12 x y z DATA(-1, 3, 2) + 5/24 x y z DATA(-1, 3, -1) + + 2 2 2 2 + + 1/576 x y z DATA(2, 3, 3) - 1/96 x y z DATA(2, 3, 2) + + 2 2 2 2 + + 5/192 x y z DATA(2, 3, -1) - 5/24 x y z DATA(1, 3, -1) + + 2 2 2 + - 1/72 x y z DATA(1, 3, 3) - 1/1728 x z DATA(2, -2, 3) + + 2 2 + - 70/9 x y DATA(0, 1, 0) + 50/9 x y DATA(1, 1, 0) + + 2 2 + + 1/9 x y z DATA(1, 2, -2) - 5/27 x y z DATA(-1, 1, 3) + + 2 2 + + 5/18 x y z DATA(-1, -2, -1) - 1/9 x y z DATA(-1, -2, 2) + + 2 2 + + 1/54 x y z DATA(-1, -2, 3) + 5/27 x y z DATA(1, 1, 3) + + 2 2 + + 5/36 x y z DATA(1, -1, 3) + 5/36 x y z DATA(2, 1, 2) + + 2 2 + + 10/9 x y z DATA(-1, 1, 2) + 1/3 x y z DATA(1, 2, 2) + + 25 2 2 + + -- x y z DATA(-2, 1, -1) + 5/48 x y z DATA(2, 2, -1) + 72 + + 2 25 2 + + 5/36 x y z DATA(2, 2, 1) - -- x y z DATA(2, -1, -1) + 96 + + 25 2 2 + - -- x y z DATA(2, -1, 1) + 5/6 x y z DATA(-1, -1, 2) + 72 + + 2 2 + + 5/48 x y z DATA(2, -1, 2) - 1/3 x y z DATA(-1, 2, 2) + + 2 2 2 2 + - 1/24 x y z DATA(2, 2, 2) + 1/576 x y z DATA(3, -2, 3) + + 2 2 2 2 + + 1/12 x y z DATA(1, 3, 2) + 1/72 x y z DATA(-1, 3, 3) + + 2 2 2 2 + - 5/36 x y z DATA(-1, -1, 3) - 5/144 x y z DATA(3, 3, 1) + + 2 2 + - 5/6 x y z DATA(1, -1, 2) + 25/9 x y z DATA(1, -1, 1) + + 2 2 + + 25/9 x y z DATA(1, 1, -1) + 5/6 x y z DATA(-1, 2, -1) + + 2 25 2 + + 10/9 x y z DATA(-1, 2, 1) - -- x y z DATA(2, 1, -1) + 72 + + 25 2 2 + - -- x y z DATA(2, 1, 1) - 5/6 x y z DATA(1, 2, -1) + 54 + + 2 2 + - 10/9 x y z DATA(1, 2, 1) - 10/9 x y z DATA(1, 1, 2) + + 2 100 2 + + 1/27 x y z DATA(1, -2, -2) - --- x y z DATA(-1, 1, 1) + 27 + + 25 2 2 + - -- x y z DATA(-1, -1, -1) - 25/9 x y z DATA(-1, -1, 1) + 12 + + 2 25 2 + - 25/9 x y z DATA(-1, 1, -1) + -- x y z DATA(1, -1, -1) + 12 + + 2 2 + + 1/288 x z DATA(2, -2, 2) - 5/576 x z DATA(2, -2, -1) + + 20 2 2 2 2 + + -- x z DATA(1, 1, 1) - 7/24 x y z DATA(0, 3, 2) + 27 + + 2 2 2 2 + - 5/192 x y z DATA(3, 3, -1) - 1/18 x y z DATA(1, 2, 3) + + 2 2 + - 5/18 x y z DATA(1, -2, -1) + 1/9 x y z DATA(1, -2, 2) + + 2 2 + - 1/54 x y z DATA(1, -2, 3) + 5/144 x y z DATA(2, -2, -1) + + 2 35 2 2 2 + - 1/72 x y z DATA(2, -2, 2) + -- x y z DATA(0, 3, 1) + 36 + + 2 2 2 2 2 2 + + 7/144 x y z DATA(0, 3, 3) - 7/72 x y z DATA(0, 3, -2) + + 2 2 2 2 2 2 + - 1/576 x y z DATA(3, 3, 3) - 1/36 x y z DATA(3, 1, 3) + + 2 2 + - 5/18 x y z DATA(1, -1, -2) - 1/27 x y z DATA(-1, -2, -2) + + 2 2 + - 5/108 x y z DATA(-2, 1, -2) - 1/216 x y z DATA(2, -2, -2) + + 2 100 2 + + 1/216 x y z DATA(-2, -2, -2) + --- x y z DATA(1, 1, 1) + 27 + + + 1/432 x y z DATA(2, -2, -2) - 1/432 x y z DATA(-2, -2, -2) + + 40 2 2 2 + + -- x y z DATA(1, 1, 1) + 1/96 x y z DATA(3, 3, 2) + 27 + + 35 2 2 2 2 2 2 + + -- x y z DATA(0, 3, -1) + 1/288 x y z DATA(3, 3, -2) + 48 + + 2 2 + + 1/432 x y z DATA(2, -2, 3) - 5/288 x y z DATA(2, -1, 3) + + 2 2 + - 5/216 x y z DATA(2, 1, 3) + 1/144 x y z DATA(2, 2, 3) + + + 1/36 x y DATA(2, -2, 0) - 2/9 x y DATA(1, -2, 0) + + + 2/9 x y DATA(-1, -2, 0) - 1/12 x y DATA(-2, 2, 0) + + + 5/24 x y DATA(-2, -1, 0) - 1/36 x y DATA(-2, -2, 0) + + 35 2 140 2 + + -- x y z DATA(2, 1, 0) + --- x y z DATA(-1, 1, 0) + 54 27 + + 2 25 2 + - 7/36 x y z DATA(2, 2, 0) + -- x y z DATA(-2, 1, 1) + 54 + + 2 10 2 + - 5/36 x y z DATA(-2, 2, 1) + -- x y z DATA(-1, -2, 1) + 27 + + 10 2 2 + - -- x y z DATA(1, -2, 1) + 5/108 x y z DATA(2, -2, 1) + 27 + + 2 10 2 + + 5/18 x y z DATA(-1, -1, -2) + -- x y z DATA(-1, 1, -2) + 27 + + 2 2 2 2 + + 5/108 x y z DATA(2, 1, -2) + 5/96 x y z DATA(-2, 3, -1) + + + 4/27 x y z DATA(1, -2, -1) + 1/54 x y z DATA(1, -2, 2) + + - 1/54 x y z DATA(2, -2, -1) - 1/432 x y z DATA(2, -2, 2) + + 2 2 + - 35/9 x y z DATA(1, -1, 0) - 5/108 x y z DATA(-2, -2, 1) + + 2 2 + - 5/36 x y z DATA(-2, 1, 2) + 5/216 x y z DATA(-2, 1, 3) + + 2 2 + - 5/144 x y z DATA(-2, -2, -1) + 1/72 x y z DATA(-2, -2, 2) + + 2 25 2 + - 1/432 x y z DATA(-2, -2, 3) + -- x y z DATA(-2, -1, -1) + 96 + + 2 2 + - 5/48 x y z DATA(-2, -1, 2) + 5/288 x y z DATA(-2, -1, 3) + + 2 2 + - 5/48 x y z DATA(-2, 2, -1) + 1/24 x y z DATA(-2, 2, 2) + + 2 2 + - 1/144 x y z DATA(-2, 2, 3) + 1/18 x y z DATA(-1, 2, 3) + + 2 2 2 2 + - 1/48 x y z DATA(-2, 3, 2) + 5/144 x y z DATA(2, -1, -2) + + 2 2 + - 1/9 x y z DATA(-1, 2, -2) - 1/72 x y z DATA(2, 2, -2) + + 10 2 2 + - -- x y z DATA(1, 1, -2) - 5/144 x y z DATA(-2, -1, -2) + 27 + + 2 25 2 + + 1/72 x y z DATA(-2, 2, -2) + -- x y z DATA(-2, -1, 1) + 72 + + 35 2 2 + - -- x y z DATA(-2, 1, 0) + 7/108 x y z DATA(-2, -2, 0) + 54 + + 35 2 2 + - -- x y z DATA(-2, -1, 0) + 7/36 x y z DATA(-2, 2, 0) + 72 + + 14 2 14 2 + - -- x y z DATA(-1, -2, 0) + -- x y z DATA(1, -2, 0) + 27 27 + + 2 140 2 + - 7/108 x y z DATA(2, -2, 0) - --- x y z DATA(1, 1, 0) + 27 + + 35 2 125 2 2 + + -- x y z DATA(2, -1, 0) + --- x y z DATA(1, -1, 1) + 72 18 + + 125 2 2 25 2 2 + + --- x y z DATA(1, 1, -1) - -- x y z DATA(-1, 2, -1) + 18 16 + + 25 2 2 25 2 2 + - -- x y z DATA(-1, 2, 1) - -- x y z DATA(2, 1, -1) + 12 12 + + 2 2 25 2 2 + - 25/9 x y z DATA(2, 1, 1) - -- x y z DATA(1, 2, -1) + 12 + + 2 2 2 2 + - 25/9 x y z DATA(1, 2, 1) - 25/9 x y z DATA(1, 1, 2) + + 2 2 125 2 2 + + 5/54 x y z DATA(1, -2, -2) + --- x y z DATA(-1, 1, 1) + 18 + + 2 2 2 2 2 2 + - 7/144 x y z DATA(0, -2, 3) + 7/576 x y z DATA(3, 2, 3) + + 2 2 2 2 2 2 + - 7/576 x y z DATA(3, -1, 3) + 1/288 x y z DATA(-2, 3, 3) + + 2 2 + + 14/9 x y z DATA(1, 2, 0) - 14/9 x y z DATA(-1, 2, 0) + + 2 25 2 2 + + 35/9 x y z DATA(-1, -1, 0) - -- x y z DATA(1, -1, -2) + 36 + + 2 2 2 2 + + 5/72 x y z DATA(-1, -2, -2) + 5/54 x y z DATA(-2, 1, -2) + + 2 2 2 2 + - 1/36 x y z DATA(2, -2, -2) - 1/108 x y z DATA(-2, -2, -2) + + 250 2 2 35 2 2 + + --- x y z DATA(1, 1, 1) + -- x y z DATA(0, -2, -1) + 27 36 + + 2 2 35 2 2 + - 7/18 x y z DATA(0, -2, 2) - -- x y z DATA(0, -1, 3) + 72 + + 35 2 2 2 2 + - -- x y z DATA(0, 1, 3) + 7/36 x y z DATA(0, 2, 3) + 54 + + 2 2 2 2 + + 35/9 x y z DATA(0, 1, 2) + 35/9 x y z DATA(0, 2, 1) + + 2 2 35 2 2 + - 7/6 x y z DATA(0, 2, 2) + -- x y z DATA(0, -1, 2) + 12 + + 2 2 2 2 2 + - 5/144 x y z DATA(3, -2, -1) + 7/288 x y z DATA(3, -1, -2) + + 25 2 2 2 2 + - -- x y z DATA(-1, -1, 2) + 5/8 x y z DATA(2, -1, 2) + 16 + + 2 2 2 2 + + 5/8 x y z DATA(-1, 2, 2) - 1/4 x y z DATA(2, 2, 2) + + 25 2 2 2 + - -- x y z DATA(1, -1, 2) + 2/27 x z DATA(-1, 1, -2) + 12 + + 2 2 2 + - 2/27 x z DATA(-1, -1, -2) - 7/18 x y z DATA(0, 2, -2) + + 2 2 2 2 + - 5/144 x y z DATA(3, -1, -2) + 1/72 x y z DATA(3, 2, -2) + + 2 2 2 2 + - 7/54 x y z DATA(0, -2, -2) + 1/216 x y z DATA(3, -2, -2) + + 175 2 2 175 2 2 + - --- x y z DATA(0, -1, -1) - --- x y z DATA(0, -1, 1) + 24 18 + + 35 2 2 35 2 2 + + -- x y z DATA(0, 2, -1) + -- x y z DATA(0, 1, -2) + 12 27 + + 2 2 25 2 2 + - 5/36 x y z DATA(1, 2, 3) - -- x y z DATA(1, -2, -1) + 36 + + 2 2 2 2 + + 5/18 x y z DATA(1, -2, 2) - 5/108 x y z DATA(1, -2, 3) + + 2 2 2 2 + + 5/24 x y z DATA(2, -2, -1) - 1/12 x y z DATA(2, -2, 2) + + 2 2 2 2 + + 1/72 x y z DATA(2, -2, 3) - 5/48 x y z DATA(2, -1, 3) + + 2 2 2 2 2 2 + + 7/72 x y z DATA(0, -2, -2) - 7/288 x y z DATA(3, 2, -2) + + 125 2 2 125 2 2 + + --- x y z DATA(-1, -1, -1) + --- x y z DATA(-1, -1, 1) + 32 24 + + 125 2 2 125 2 2 + + --- x y z DATA(-1, 1, -1) + --- x y z DATA(1, -1, -1) + 24 24 + + 2 2 2 + + 5/18 x y z DATA(1, 2, -2) + 1/6 x y DATA(2, -2, 0) + + 2 + - 5/432 x z DATA(2, -2, 1) + 1/54 x y z DATA(-2, -2, -1) + + + 1/432 x y z DATA(-2, -2, 2) - 5/36 x y z DATA(-2, -1, -1) + + - 5/288 x y z DATA(-2, -1, 2) + 1/18 x y z DATA(-2, 2, -1) + + + 1/144 x y z DATA(-2, 2, 2) - 4/27 x y z DATA(-1, -2, -1) + + - 1/54 x y z DATA(-1, -2, 2) + 5/216 x y z DATA(2, 1, 2) + + 2 2 2 + - 5/36 x y z DATA(-1, -1, -2) + 7/96 x y z DATA(2, -1, 3) + + 2 2 2 2 2 2 + - 1/96 x y z DATA(2, -2, 3) + 1/16 x y z DATA(2, -2, 2) + + 2 2 2 2 2 2 + - 5/32 x y z DATA(2, -2, -1) + 5/144 x y z DATA(1, -2, 3) + + 2 2 2 25 2 2 2 + - 5/24 x y z DATA(1, -2, 2) + -- x y z DATA(1, -2, -1) + 48 + + 35 2 2 2 2 2 2 + + --- x y z DATA(1, 2, 3) - 14/9 x y z DATA(0, 1, -2) + 144 + + 245 2 2 2 245 2 2 2 + - --- x y z DATA(0, 2, -1) + --- x y z DATA(0, -1, 1) + 48 36 + + 245 2 2 2 2 2 2 + + --- x y z DATA(0, -1, -1) - 1/288 x y z DATA(3, -2, -2) + 48 + + 2 2 2 2 + - 5/36 x y z DATA(2, 1, 3) + 5/288 x y z DATA(3, -1, 3) + + 2 2 2 2 + - 1/144 x y z DATA(3, 2, 3) + 7/108 x y z DATA(0, -2, 3) + + 2 2 2 2 + - 1/432 x y z DATA(3, -2, 3) + 5/216 x y z DATA(3, 1, 3) + + + 5/27 x y z DATA(-2, 1, 1) - 1/18 x y z DATA(-2, 2, 1) + + + 4/27 x y z DATA(-1, -2, 1) - 4/27 x y z DATA(1, -2, 1) + + 2 2 2 2 + + 1/24 x y z DATA(2, 2, 3) + 1/72 x y z DATA(3, -2, 2) + + 25 2 2 2 2 + + -- x y z DATA(3, -1, -1) - 5/48 x y z DATA(3, -1, 2) + 96 + + 25 2 2 2 2 + + -- x y z DATA(3, 1, -1) - 5/36 x y z DATA(3, 1, 2) + 72 + + 2 2 2 2 + - 5/48 x y z DATA(3, 2, -1) + 1/24 x y z DATA(3, 2, 2) + + 25 2 2 2 2 + + -- x y z DATA(3, -1, 1) - 5/36 x y z DATA(3, 2, 1) + 72 + + 175 2 2 2 + - --- x y z DATA(0, 1, -1) - 1/108 x z DATA(2, -1, -2) + 18 + + + 4/9 x y z DATA(1, 2, -1) - 4/9 x y z DATA(1, 2, 1) + + - 5/27 x y z DATA(1, 1, 2) - 1/54 x y z DATA(1, -2, -2) + + 40 + - -- x y z DATA(-1, 1, 1) + 10/9 x y z DATA(-1, -1, -1) + 27 + + 40 + - 10/9 x y z DATA(-1, -1, 1) + -- x y z DATA(-1, 1, -1) + 27 + + - 10/9 x y z DATA(1, -1, -1) - 1/18 x y z DATA(1, 2, -2) + + + 5/36 x y z DATA(1, -1, -2) + 1/54 x y z DATA(-1, -2, -2) + + + 5/216 x y z DATA(-2, 1, -2) + 5/27 x y z DATA(-1, 1, 2) + + + 1/18 x y z DATA(1, 2, 2) - 5/27 x y z DATA(-2, 1, -1) + + - 1/18 x y z DATA(2, 2, -1) + 1/18 x y z DATA(2, 2, 1) + + + 5/36 x y z DATA(2, -1, -1) - 5/36 x y z DATA(2, -1, 1) + + + 5/36 x y z DATA(-1, -1, 2) + 5/288 x y z DATA(2, -1, 2) + + - 1/18 x y z DATA(-1, 2, 2) - 1/144 x y z DATA(2, 2, 2) + + - 5/36 x y z DATA(1, -1, 2) + 10/9 x y z DATA(1, -1, 1) + + 40 2 2 2 + - -- x y z DATA(1, 1, -1) - 7/96 x y z DATA(2, 2, 3) + 27 + + 2 2 2 + + 1/6 x y z DATA(2, 1, 3) + 1/54 x y z DATA(2, -2, 1) + 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1/108 x y z + + 2 2 2 2 3 3 2 3 + + 1/216 x y z + 1/144 x y z + 1/1728 x z + 1/216 x y z + + 3 2 3 2 2 3 2 3 2 + - 1/432 x y z + 1/576 x y z - 1/288 x y z - 1/864 x z - 1/864 x z + + 2 2 3 2 2 3 + + 1/432 x z + 1/1728 x z , COEFF(-1, -2, -2) = 7/288 z y x + + 2 3 2 3 2 3 3 3 + - 7/216 z y x - 7/576 z y x - 7/576 y x z + 7/432 z y x + + 3 3 3 3 2 2 + + 7/432 y x z - 7/1728 z x + 7/864 x z + 5/576 x z - 1/216 x z + + 2 2 2 2 2 2 + + 1/36 x y z + 1/54 x y z - 5/144 x y z - 1/72 x y z + 5/192 x y z + + 2 2 2 2 2 2 3 3 + + 5/72 x y z - 1/27 x y z - 5/96 x y z - 7/1728 x z + + 2 3 3 2 3 2 2 3 + - 5/144 x y z + 1/54 x y z - 1/72 x y z + 5/192 x y z + + 2 3 2 2 2 3 + + 5/576 x z + 1/108 x z - 5/288 x z - 1/216 x z , COEFF(0, -2, -2) = + + 2 2 3 2 3 2 3 2 3 3 3 + - 1/18 z y x + 2/27 z y x + 1/36 z y x + 1/36 y x z - 1/27 z y x + + 3 3 3 2 3 2 2 + - 1/27 y x z + 1/108 z x + 1/48 y z - 1/54 x z - 7/432 x z + + 2 3 2 2 2 + - 1/36 y z + 1/144 z - 1/72 z + 1/144 z + 7/108 x y z - 7/144 x y z + + 2 2 2 2 2 3 3 2 3 + - 7/54 x y z + 7/72 x y z + 1/108 x z + 7/108 x y z + + 2 2 3 2 3 2 3 2 2 3 + - 7/144 x y z - 7/432 x z + 1/48 y z + 7/216 x z - 1/36 y z + + 2 2 2 2 2 3 2 3 + + 1/18 y z - 1/24 y z , COEFF(1, -2, -2) = 1/18 z y x - 2/27 z y x + + 2 3 2 3 3 3 3 3 3 + - 1/36 z y x - 1/36 y x z + 1/27 z y x + 1/27 y x z - 1/108 z x + + 3 2 2 2 2 + + 1/54 x z + 5/432 x z + 1/216 x z - 1/36 x y z - 1/54 x y z + + 2 2 2 2 2 2 2 + - 5/108 x y z + 1/72 x y z + 5/144 x y z + 5/54 x y z + 1/27 x y z + + 2 2 2 3 3 2 3 3 2 3 + - 5/72 x y z - 1/108 x z - 5/108 x y z - 1/54 x y z + 1/72 x y z + + 2 2 3 2 3 2 2 2 3 + + 5/144 x y z + 5/432 x z - 1/108 x z - 5/216 x z + 1/216 x z , + + 2 2 3 2 3 2 3 + COEFF(2, -2, -2) = - 7/288 z y x + 7/216 z y x + 7/576 z y x + + 2 3 3 3 3 3 3 + + 7/576 y x z - 7/432 z y x - 7/432 y x z + 7/1728 z x + + 3 2 2 2 2 + - 7/864 x z - 1/288 x z - 1/1728 x z + 1/288 x y z + 1/432 x y z + + 2 2 2 2 2 2 2 + + 1/72 x y z - 1/576 x y z - 1/96 x y z - 1/36 x y z - 1/216 x y z + + 2 2 2 3 3 2 3 3 + + 1/48 x y z + 7/1728 x z + 1/72 x y z + 1/432 x y z + + 2 3 2 2 3 2 3 2 2 2 + - 1/576 x y z - 1/96 x y z - 1/288 x z + 1/864 x z + 1/144 x z + + 3 3 3 3 + - 1/1728 x z , COEFF(3, -2, -2) = - 1/1728 z x + 1/432 y x z + + 2 3 2 2 3 2 3 2 2 3 + - 1/216 z y x + 1/576 x y z + 1/1728 x z + 1/288 z y x + + 3 2 2 2 2 2 2 2 2 2 + + 1/864 x z + 1/216 x y z - 1/864 x z - 1/288 x y z + 1/1728 x z + + 2 2 2 3 3 2 3 2 + + 1/576 x y z - 1/576 y x z - 1/576 z y x - 1/432 x y z + + 3 2 3 3 3 + + 1/432 z y x - 1/432 x y z - 1/1728 x z , COEFF(-2, -1, -2) = + + 2 2 3 2 3 2 3 2 3 3 + 7/288 z y x - 5/144 z y x - 7/576 z y x - 7/576 y x z + + 3 3 3 3 3 2 2 + + 5/288 z y x + 5/288 y x z - 1/216 z x + 1/108 x z + 1/108 x z + + 2 2 2 2 + - 1/216 x z + 7/288 x y z + 5/288 x y z - 5/144 x y z - 7/576 x y z + + 2 2 2 2 2 2 2 2 + + 7/288 x y z + 5/72 x y z - 5/144 x y z - 7/144 x y z + + 3 3 2 3 3 2 3 + - 1/216 x z - 5/144 x y z + 5/288 x y z - 7/576 x y z + + 2 2 3 2 3 2 2 2 3 + + 7/288 x y z + 1/108 x z + 1/108 x z - 1/54 x z - 1/216 x z , + + 49 2 2 3 35 2 3 49 2 3 + COEFF(-1, -1, -2) = - --- z y x + --- z y x + --- z y x + 288 144 576 + + 49 2 3 3 35 3 35 3 3 3 3 2 + + --- y x z - --- z y x - --- y x z + 7/216 z x - 7/108 x z + 576 288 288 + + 2 2 2 25 2 + - 5/72 x z + 1/27 x z - 7/36 x y z - 5/36 x y z + -- x y z + 96 + + 2 35 2 2 25 2 2 2 35 2 2 2 + + 7/72 x y z - --- x y z - -- x y z + 5/18 x y z + -- x y z + 192 48 96 + + 3 3 25 2 3 3 2 3 35 2 2 3 + + 7/216 x z + -- x y z - 5/36 x y z + 7/72 x y z - --- x y z + 96 192 + + 2 3 2 2 2 3 + - 5/72 x z - 2/27 x z + 5/36 x z + 1/27 x z , COEFF(0, -1, -2) = + + 2 2 3 2 3 2 3 2 3 3 3 + 7/18 z y x - 5/9 z y x - 7/36 z y x - 7/36 y x z + 5/18 z y x + + 3 3 3 2 3 2 2 + + 5/18 y x z - 2/27 z x - 7/48 y z + 4/27 x z + 7/54 x z + 5/24 y z + + 2 3 35 2 49 2 2 35 2 2 + - 1/18 z + 1/9 z - 1/18 z - -- x y z + --- x y z + -- x y z + 72 144 36 + + 49 2 2 2 3 3 35 2 3 49 2 2 3 2 3 + - -- x y z - 2/27 x z - -- x y z + --- x y z + 7/54 x z + 72 72 144 + + 2 3 2 2 3 2 2 2 + - 7/48 y z - 7/27 x z + 5/24 y z - 5/12 y z + 7/24 y z , + + 2 2 3 2 3 2 3 + COEFF(1, -1, -2) = - 7/18 z y x + 5/9 z y x + 7/36 z y x + + 2 3 3 3 3 3 3 3 2 + + 7/36 y x z - 5/18 z y x - 5/18 y x z + 2/27 z x - 4/27 x z + + 2 2 2 25 2 + - 5/54 x z - 1/27 x z + 7/36 x y z + 5/36 x y z + -- x y z + 72 + + 2 35 2 2 25 2 2 2 35 2 2 2 + - 7/72 x y z - --- x y z - -- x y z - 5/18 x y z + -- x y z + 144 36 72 + + 3 3 25 2 3 3 2 3 35 2 2 3 + + 2/27 x z + -- x y z + 5/36 x y z - 7/72 x y z - --- x y z + 72 144 + + 2 3 2 2 2 3 + - 5/54 x z + 2/27 x z + 5/27 x z - 1/27 x z , COEFF(2, -1, -2) = + + 49 2 2 3 35 2 3 49 2 3 49 2 3 3 35 3 + --- z y x - --- z y x - --- z y x - --- y x z + --- z y x + 288 144 576 576 288 + + 35 3 3 3 3 2 2 + + --- y x z - 7/216 z x + 7/108 x z + 1/36 x z + 1/216 x z + 288 + + 2 2 2 2 2 2 + - 7/288 x y z - 5/288 x y z - 5/48 x y z + 7/576 x y z + 7/96 x y z + + 2 2 2 2 2 2 3 3 2 3 + + 5/24 x y z + 5/144 x y z - 7/48 x y z - 7/216 x z - 5/48 x y z + + 3 2 3 2 2 3 2 3 2 + - 5/288 x y z + 7/576 x y z + 7/96 x y z + 1/36 x z - 1/108 x z + + 2 2 3 2 3 + - 1/18 x z + 1/216 x z , COEFF(3, -1, -2) = 5/144 z y x + + 2 3 3 2 2 2 3 2 2 3 + + 7/576 y x z - 5/144 x y z + 7/576 z y x - 7/576 x y z + + 2 2 3 3 2 3 2 2 2 + - 7/576 x y z - 5/288 y x z - 1/216 x z + 1/108 x z + 5/288 x y z + + 3 2 2 2 3 3 3 2 2 2 + - 1/108 x z - 7/288 z y x + 1/216 x z + 7/288 x y z + + 2 3 3 2 3 + + 5/288 x y z + 1/216 z x - 1/216 x z - 5/288 z y x , COEFF(-2, 0, -2) + + 2 3 2 2 2 2 2 2 2 + = 7/108 x y z + 1/9 x y z + 1/36 x y z - 7/54 x y z + 7/108 x y z + + 2 2 2 3 2 3 3 3 + - 1/18 x y z + 1/36 x y z - 7/216 x y z + 1/36 y x z - 7/216 x y z + + 2 3 2 2 3 2 2 + + 7/108 x y z - 7/216 z y x - 1/18 x y z - 1/18 x y z + + 3 3 2 3 2 2 3 2 3 + - 7/216 y x z + 7/108 z y x - 1/18 z y x + 1/36 z y x , + + 2 3 3 49 2 3 49 3 2 2 + COEFF(-1, 0, -2) = - 7/36 y x z - --- z y x + --- z y x + 4/9 x y z + 108 216 + + 2 2 3 2 2 2 2 3 + + 5/12 x y z + 7/27 x y z - 5/6 x y z + 7/27 x y z - 2/9 x y z + + 49 3 3 35 2 3 2 2 3 14 2 35 2 + + --- y x z - -- x y z + 7/18 z y x - -- x y z - -- x y z + 216 72 27 72 + + 2 2 2 3 35 2 2 2 3 + - 2/9 x y z + 5/12 x y z + -- x y z - 7/36 z y x , COEFF(0, 0, -2) + 36 + + 2 3 3 14 3 3 2 2 2 49 2 3 + = 4/9 y x z - -- y x z - 7/9 x y z + 7/9 y z + -- x y z + 27 54 + + 2 3 14 3 2 49 2 3 49 2 2 + + 1/3 y z - -- z y x + 1/3 y z + -- x y z - 7/18 y z - -- x y z + 27 54 27 + + 2 2 3 2 3 2 2 2 2 2 3 + - 8/9 z y x + 4/9 z y x + 14/9 x y z - 7/18 y z - 7/9 x y z + + 2 2 28 2 3 2 2 2 2 3 + - 2/3 y z + -- z y x , COEFF(1, 0, -2) = 5/9 x y z + 8/9 z y x + 27 + + 2 2 35 2 2 2 3 2 2 2 2 2 3 + - 4/9 x y z + -- x y z - 4/9 z y x - 10/9 x y z + 5/9 x y z + 27 + + 14 3 2 3 35 2 3 2 + + -- z y x - 7/27 x y z + 2/9 x y z - -- x y z + 2/9 x y z + 27 54 + + 14 3 3 3 14 2 35 2 28 2 3 + + -- y x z - 7/27 x y z + -- x y z - -- x y z - -- z y x + 27 27 54 27 + + 2 3 3 2 2 2 2 2 3 49 3 + - 4/9 y x z , COEFF(2, 0, -2) = 1/3 x y z - 1/6 x y z - --- z y x + 216 + + 2 3 3 2 49 2 3 2 + + 7/36 y x z + 7/216 x y z + 7/36 x y z + --- z y x - 7/108 x y z + 108 + + 2 3 2 2 2 2 2 49 3 3 + - 1/36 x y z - 1/6 x y z - 7/18 x y z - 1/36 x y z - --- y x z + 216 + + 2 2 3 2 3 2 3 2 2 + - 7/18 z y x + 7/36 z y x + 7/36 x y z + 1/18 x y z + + 3 2 2 2 2 3 + + 7/216 x y z , COEFF(3, 0, -2) = 1/36 x y z + 1/36 x y z + + 2 3 2 3 2 2 2 2 + - 1/36 z y x - 7/216 x y z - 1/18 x y z - 7/216 x y z + + 2 2 2 3 3 2 3 2 2 3 + + 7/108 x y z - 1/36 y x z - 7/108 z y x + 1/18 z y x + + 3 3 3 2 2 3 + + 7/216 y x z + 7/216 z y x , COEFF(-2, 1, -2) = 1/18 z y x + + 2 3 2 3 2 3 3 3 + - 5/108 z y x - 1/36 z y x - 1/36 y x z + 5/216 z y x + + 3 3 3 3 2 2 + + 5/216 y x z + 1/216 z x - 1/108 x z - 1/108 x z + 1/216 x z + + 2 2 2 2 2 2 + + 1/18 x y z + 5/216 x y z - 5/108 x y z - 1/36 x y z + 1/18 x y z + + 2 2 2 2 2 2 3 3 2 3 + + 5/54 x y z - 5/108 x y z - 1/9 x y z + 1/216 x z - 5/108 x y z + + 3 2 3 2 2 3 2 3 2 + + 5/216 x y z - 1/36 x y z + 1/18 x y z - 1/108 x z - 1/108 x z + + 2 2 3 2 2 3 + + 1/54 x z + 1/216 x z , COEFF(-1, 1, -2) = - 7/18 z y x + + 35 2 3 2 3 2 3 3 35 3 35 3 3 + + --- z y x + 7/36 z y x + 7/36 y x z - --- z y x - --- y x z + 108 216 216 + + 3 3 2 2 2 2 + - 7/216 z x + 7/108 x z + 5/72 x z - 1/27 x z - 4/9 x y z + + 25 2 2 2 2 25 2 2 + - 5/27 x y z + -- x y z + 2/9 x y z - 5/12 x y z - -- x y z + 72 36 + + 10 2 2 2 2 3 3 25 2 3 3 + + -- x y z + 5/6 x y z - 7/216 x z + -- x y z - 5/27 x y z + 27 72 + + 2 3 2 2 3 2 3 2 2 2 + + 2/9 x y z - 5/12 x y z + 5/72 x z + 2/27 x z - 5/36 x z + + 3 2 2 3 20 2 3 2 3 + - 1/27 x z , COEFF(0, 1, -2) = 8/9 z y x - -- z y x - 4/9 z y x + 27 + + 2 3 3 10 3 10 3 3 3 2 + - 4/9 y x z + -- z y x + -- y x z + 2/27 z x - 1/3 y z + 27 27 + + 3 2 2 2 3 + - 4/27 x z - 7/54 x z + 5/18 y z + 1/18 z - 1/9 z + 1/18 z + + 35 2 2 2 35 2 2 2 2 2 3 3 + - -- x y z + 7/9 x y z + -- x y z - 14/9 x y z + 2/27 x z + 54 27 + + 35 2 3 2 2 3 2 3 2 3 2 2 + - -- x y z + 7/9 x y z - 7/54 x z - 1/3 y z + 7/27 x z + 54 + + 3 2 2 2 2 2 3 + + 5/18 y z - 5/9 y z + 2/3 y z , COEFF(1, 1, -2) = - 8/9 z y x + + 20 2 3 2 3 2 3 3 10 3 10 3 3 + + -- z y x + 4/9 z y x + 4/9 y x z - -- z y x - -- y x z + 27 27 27 + + 3 3 2 2 2 2 + - 2/27 z x + 4/27 x z + 5/54 x z + 1/27 x z + 4/9 x y z + 5/27 x y z + + 25 2 2 2 2 25 2 2 10 2 + + -- x y z - 2/9 x y z - 5/9 x y z - -- x y z - -- x y z + 54 27 27 + + 2 2 2 3 3 25 2 3 3 2 3 + + 10/9 x y z - 2/27 x z + -- x y z + 5/27 x y z - 2/9 x y z + 54 + + 2 2 3 2 3 2 2 2 3 + - 5/9 x y z + 5/54 x z - 2/27 x z - 5/27 x z + 1/27 x z , + + 2 2 3 35 2 3 2 3 + COEFF(2, 1, -2) = 7/18 z y x - --- z y x - 7/36 z y x + 108 + + 2 3 3 35 3 35 3 3 3 3 2 + - 7/36 y x z + --- z y x + --- y x z + 7/216 z x - 7/108 x z + 216 216 + + 2 2 2 2 + - 1/36 x z - 1/216 x z - 1/18 x y z - 5/216 x y z - 5/36 x y z + + 2 2 2 2 2 2 2 2 2 + + 1/36 x y z + 1/6 x y z + 5/18 x y z + 5/108 x y z - 1/3 x y z + + 3 3 2 3 3 2 3 2 2 3 + + 7/216 x z - 5/36 x y z - 5/216 x y z + 1/36 x y z + 1/6 x y z + + 2 3 2 2 2 3 + - 1/36 x z + 1/108 x z + 1/18 x z - 1/216 x z , COEFF(3, 1, -2) = + + 2 3 2 3 3 3 3 3 3 + 1/36 z y x + 5/216 x y z - 1/216 x z - 5/216 z y x - 5/216 y x z + + 2 2 3 2 2 3 2 3 2 2 + - 1/18 z y x - 1/36 x y z + 1/216 x z - 1/36 x y z + + 2 2 3 3 2 2 2 2 2 2 + + 5/216 x y z + 1/36 y x z + 1/18 x y z - 1/108 x z + 1/216 x z + + 2 3 2 2 3 2 3 + + 5/108 z y x - 5/108 x y z + 1/108 x z - 1/216 z x , + + 2 2 3 2 3 2 3 + COEFF(-2, 2, -2) = - 7/288 z y x + 1/72 z y x + 7/576 z y x + + 2 3 3 3 3 3 3 + + 7/576 y x z - 1/144 z y x - 1/144 y x z - 1/1728 z x + + 3 2 2 2 2 + + 1/864 x z + 1/864 x z - 1/1728 x z - 7/288 x y z - 1/144 x y z + + 2 2 2 2 2 2 2 + + 1/72 x y z + 7/576 x y z - 7/288 x y z - 1/36 x y z + 1/72 x y z + + 2 2 2 3 3 2 3 3 + + 7/144 x y z - 1/1728 x z + 1/72 x y z - 1/144 x y z + + 2 3 2 2 3 2 3 2 2 2 + + 7/576 x y z - 7/288 x y z + 1/864 x z + 1/864 x z - 1/432 x z + + 3 49 2 2 3 2 3 + - 1/1728 x z , COEFF(-1, 2, -2) = --- z y x - 7/72 z y x + 288 + + 49 2 3 49 2 3 3 3 3 3 3 + - --- z y x - --- y x z + 7/144 z y x + 7/144 y x z + 7/1728 z x + 576 576 + + 3 2 2 2 2 + - 7/864 x z - 5/576 x z + 1/216 x z + 7/36 x y z + 1/18 x y z + + 2 2 35 2 2 2 2 2 + - 5/48 x y z - 7/72 x y z + --- x y z + 5/24 x y z - 1/9 x y z + 192 + + 35 2 2 2 3 3 2 3 3 2 3 + - -- x y z + 7/1728 x z - 5/48 x y z + 1/18 x y z - 7/72 x y z + 96 + + 35 2 2 3 2 3 2 2 2 3 + + --- x y z - 5/576 x z - 1/108 x z + 5/288 x z + 1/216 x z , + 192 + + 2 2 3 2 3 2 3 + COEFF(0, 2, -2) = - 7/18 z y x + 2/9 z y x + 7/36 z y x + + 2 3 3 3 3 3 3 2 + + 7/36 y x z - 1/9 z y x - 1/9 y x z - 1/108 z x + 7/48 y z + + 3 2 2 2 3 + + 1/54 x z + 7/432 x z - 1/12 y z - 1/144 z + 1/72 z - 1/144 z + + 2 49 2 2 2 2 49 2 2 2 3 3 + + 7/36 x y z - --- x y z - 7/18 x y z + -- x y z - 1/108 x z + 144 72 + + 2 3 49 2 2 3 2 3 2 3 2 2 + + 7/36 x y z - --- x y z + 7/432 x z + 7/48 y z - 7/216 x z + 144 + + 3 2 2 2 2 2 3 + - 1/12 y z + 1/6 y z - 7/24 y z , COEFF(1, 2, -2) = 7/18 z y x + + 2 3 2 3 2 3 3 3 3 3 + - 2/9 z y x - 7/36 z y x - 7/36 y x z + 1/9 z y x + 1/9 y x z + + 3 3 2 2 2 2 + + 1/108 z x - 1/54 x z - 5/432 x z - 1/216 x z - 7/36 x y z + + 2 2 35 2 2 2 2 + - 1/18 x y z - 5/36 x y z + 7/72 x y z + --- x y z + 5/18 x y z + 144 + + 2 35 2 2 2 3 3 2 3 3 + + 1/9 x y z - -- x y z + 1/108 x z - 5/36 x y z - 1/18 x y z + 72 + + 2 3 35 2 2 3 2 3 2 2 2 + + 7/72 x y z + --- x y z - 5/432 x z + 1/108 x z + 5/216 x z + 144 + + 3 49 2 2 3 2 3 + - 1/216 x z , COEFF(2, 2, -2) = - --- z y x + 7/72 z y x + 288 + + 49 2 3 49 2 3 3 3 3 3 3 + + --- z y x + --- y x z - 7/144 z y x - 7/144 y x z - 7/1728 z x + 576 576 + + 3 2 2 2 2 + + 7/864 x z + 1/288 x z + 1/1728 x z + 7/288 x y z + 1/144 x y z + + 2 2 2 2 2 2 2 + + 1/24 x y z - 7/576 x y z - 7/96 x y z - 1/12 x y z - 1/72 x y z + + 2 2 2 3 3 2 3 3 + + 7/48 x y z - 7/1728 x z + 1/24 x y z + 1/144 x y z + + 2 3 2 2 3 2 3 2 2 2 + - 7/576 x y z - 7/96 x y z + 1/288 x z - 1/864 x z - 1/144 x z + + 3 2 2 2 3 + + 1/1728 x z , COEFF(3, 2, -2) = 7/576 x y z - 7/576 z y x + + 3 3 2 2 3 2 2 + + 1/144 y x z - 1/144 x y z - 1/1728 x z + 1/864 x z + + 2 2 2 2 2 2 3 + - 7/288 x y z - 1/1728 x z + 1/72 x y z + 1/1728 z x + + 2 3 2 3 3 3 3 2 3 + - 1/144 x y z - 7/576 y x z + 1/1728 x z - 1/72 z y x + + 3 2 2 3 3 2 2 2 3 + + 1/144 z y x + 7/576 x y z - 1/864 x z + 7/288 z y x , + + 2 2 2 2 3 + COEFF(-2, 3, -2) = - 1/144 x y z - 1/432 x y z + 1/864 x y z + + 2 2 3 2 2 3 2 2 + - 1/432 x y z - 1/576 z y x + 1/288 x y z + 1/216 x y z + + 2 2 2 3 3 2 2 3 + + 1/288 x y z - 1/432 z y x + 1/864 x y z + 1/288 z y x + + 2 3 3 2 3 3 2 2 + - 1/576 y x z - 1/576 x y z + 1/864 y x z + 1/288 x y z + + 3 2 2 3 + + 1/864 z y x - 1/432 x y z - 1/576 x y z , COEFF(-1, 3, -2) = + + 2 3 3 2 2 2 2 2 2 3 + 7/576 y x z + 1/54 x y z - 5/144 x y z - 5/192 x y z + 1/72 x y z + + 2 2 3 2 2 3 2 + + 5/288 x y z + 7/576 z y x - 5/192 x y z + 1/72 x y z + + 3 2 2 2 2 2 3 3 3 + - 7/864 z y x + 5/96 x y z - 7/288 z y x - 7/864 y x z + + 2 3 2 2 3 + + 7/432 z y x - 1/36 x y z - 1/108 x y z - 1/108 x y z + + 2 3 3 3 2 3 3 + + 5/288 x y z , COEFF(0, 3, -2) = 1/54 y x z - 1/48 y z + 1/54 z y x + + 2 2 3 2 3 3 2 2 2 3 2 + + 1/18 z y x - 1/36 y x z + 1/24 y z - 1/27 z y x - 1/48 y z + + 2 3 2 3 2 2 2 3 + - 7/216 x y z + 1/72 y z - 1/36 z y x - 1/36 y z + 7/144 x y z + + 2 2 2 2 2 2 2 2 3 + - 7/72 x y z + 7/144 x y z - 7/216 x y z + 7/108 x y z + 1/72 y z + + 2 3 2 2 3 + , COEFF(1, 3, -2) = 1/27 z y x - 1/72 x y z + 5/216 x y z + + 2 2 2 3 3 2 2 3 2 3 + + 5/72 x y z - 1/54 y x z - 5/144 x y z - 1/72 x y z + + 2 2 3 2 2 + - 5/108 x y z - 1/54 z y x + 5/216 x y z + 1/108 x y z - 1/54 x y z + + 2 2 2 3 3 3 2 2 3 + - 5/144 x y z + 1/36 y x z + 1/108 x y z - 1/18 z y x + + 2 2 2 3 2 2 + + 1/36 x y z + 1/36 z y x , COEFF(2, 3, -2) = - 1/288 x y z + + 3 2 2 3 2 3 2 3 + + 7/864 z y x + 7/288 z y x + 1/576 x y z - 1/144 x y z + + 2 2 3 2 2 3 2 2 + + 1/432 x y z - 7/432 z y x + 1/96 x y z + 1/96 x y z + + 2 3 3 2 2 2 2 + - 7/576 z y x - 1/864 x y z - 1/144 x y z - 1/48 x y z + + 2 3 3 2 2 + + 1/576 x y z + 7/864 y x z + 1/72 x y z - 1/864 x y z + + 2 3 3 2 2 2 2 2 + - 7/576 y x z , COEFF(3, 3, -2) = - 1/576 x y z + 1/288 x y z + + 2 2 3 2 3 2 2 3 + + 1/864 x y z + 1/576 z y x + 1/864 x y z - 1/288 z y x + + 2 3 3 3 3 2 2 3 3 + + 1/576 y x z - 1/864 y x z - 1/576 x y z - 1/864 z y x + + 2 2 2 3 2 2 3 + - 1/432 x y z + 1/432 z y x , COEFF(-2, -2, -1) = 5/192 z y x + + 2 3 2 3 2 3 3 3 + - 5/144 z y x - 1/72 z y x - 7/576 y x z + 1/54 z y x + + 3 3 3 3 2 2 + + 7/432 y x z - 1/216 z x + 5/576 x z + 1/108 x z - 1/216 x z + + 2 2 2 2 2 2 + + 5/192 x y z + 1/54 x y z - 1/27 x y z - 1/72 x y z + 1/36 x y z + + 2 2 2 2 2 2 3 3 + + 5/72 x y z - 5/144 x y z - 5/96 x y z - 7/1728 x z + + 2 3 3 2 3 2 2 3 + - 7/216 x y z + 7/432 x y z - 7/576 x y z + 7/288 x y z + + 2 3 2 2 2 3 + + 7/864 x z + 5/576 x z - 5/288 x z - 7/1728 x z , COEFF(-1, -2, -1) + + 35 2 2 3 35 2 3 2 3 49 2 3 3 3 + = - --- z y x + --- z y x + 7/72 z y x + --- y x z - 7/54 z y x + 192 144 576 + + 49 3 3 3 35 3 2 2 + - --- y x z + 7/216 z x - --- x z - 5/72 x z + 1/27 x z + 432 576 + + 2 2 2 2 2 2 + - 5/24 x y z - 4/27 x y z + 5/18 x y z + 1/9 x y z - 5/24 x y z + + 25 2 2 2 25 2 2 2 49 3 3 35 2 3 + - -- x y z + 5/18 x y z + -- x y z + ---- x z + --- x y z + 48 64 1728 144 + + 3 2 3 35 2 2 3 35 2 3 2 + - 7/54 x y z + 7/72 x y z - --- x y z - --- x z - 5/72 x z + 192 576 + + 25 2 2 3 2 2 3 2 3 + + --- x z + 7/216 x z , COEFF(0, -2, -1) = 5/12 z y x - 5/9 z y x + 192 + + 2 3 2 3 3 3 3 3 3 + - 2/9 z y x - 7/36 y x z + 8/27 z y x + 7/27 y x z - 2/27 z x + + 2 3 2 2 2 + - 1/6 y z + 5/36 x z + 7/54 x z + 2/9 y z - 1/18 z + 5/48 z + + 3 14 2 2 2 35 2 2 35 2 2 2 + - 7/144 z - -- x y z + 7/18 x y z + -- x y z - -- x y z + 27 36 48 + + 3 3 49 2 3 49 2 2 3 49 2 3 2 3 + - 7/108 x z - --- x y z + --- x y z + --- x z - 7/48 y z + 108 144 432 + + 35 2 2 3 2 2 2 + - --- x z + 7/36 y z - 5/12 y z + 5/16 y z , COEFF(1, -2, -1) = + 144 + + 2 2 3 2 3 2 3 2 3 3 3 + - 5/12 z y x + 5/9 z y x + 2/9 z y x + 7/36 y x z - 8/27 z y x + + 3 3 3 3 2 2 + - 7/27 y x z + 2/27 z x - 5/36 x z - 5/54 x z - 1/27 x z + + 2 2 10 2 2 2 2 + + 5/24 x y z + 4/27 x y z + -- x y z - 1/9 x y z - 5/18 x y z + 27 + + 25 2 2 2 25 2 2 2 3 3 35 2 3 + - -- x y z - 5/18 x y z + -- x y z + 7/108 x z + --- x y z + 36 48 108 + + 3 2 3 35 2 2 3 35 2 3 2 + + 7/54 x y z - 7/72 x y z - --- x y z - --- x z + 5/72 x z + 144 432 + + 25 2 2 3 35 2 2 3 35 2 3 + + --- x z - 7/216 x z , COEFF(2, -2, -1) = --- z y x - --- z y x + 144 192 144 + + 2 3 49 2 3 3 3 49 3 3 3 + - 7/72 z y x - --- y x z + 7/54 z y x + --- y x z - 7/216 z x + 576 432 + + 35 3 2 2 2 2 + + --- x z + 1/36 x z + 1/216 x z - 5/192 x y z - 1/54 x y z + 576 + + 2 2 2 2 2 2 2 + - 1/9 x y z + 1/72 x y z + 1/12 x y z + 5/24 x y z + 5/144 x y z + + 2 2 2 49 3 3 2 3 3 2 3 + - 5/32 x y z - ---- x z - 7/72 x y z - 7/432 x y z + 7/576 x y z + 1728 + + 2 2 3 2 3 2 2 2 3 + + 7/96 x y z + 7/288 x z - 5/576 x z - 5/96 x z + 7/1728 x z , + + 2 3 3 2 3 2 2 + COEFF(3, -2, -1) = 5/144 z y x - 5/576 x z - 1/54 z y x - 1/72 x y z + + 2 3 2 2 2 2 3 3 + + 7/432 x y z + 1/54 x y z + 5/192 x y z - 7/432 y x z + + 3 3 2 3 2 2 3 2 2 + + 7/1728 x z - 7/1728 x z - 5/192 z y x + 5/576 x z + + 2 3 2 2 2 3 3 3 2 + + 1/72 z y x - 5/144 x y z + 7/576 y x z + 1/216 z x - 1/216 x z + + 2 2 3 35 2 2 3 25 2 3 + - 7/576 x y z , COEFF(-2, -1, -1) = - --- z y x + -- z y x + 192 96 + + 2 3 49 2 3 3 3 35 3 3 3 + + 7/72 z y x + --- y x z - 5/36 z y x - --- y x z + 1/27 z x + 576 288 + + 3 2 2 35 2 2 + - 5/72 x z - 2/27 x z + 1/27 x z - --- x y z - 5/36 x y z + 192 + + 2 2 2 2 25 2 2 25 2 + + 5/18 x y z + 7/72 x y z - 7/36 x y z - -- x y z + -- x y z + 48 96 + + 35 2 2 2 3 3 35 2 3 35 3 49 2 3 + + -- x y z + 7/216 x z + --- x y z - --- x y z + --- x y z + 96 144 288 576 + + 49 2 2 3 2 3 2 2 2 3 + - --- x y z - 7/108 x z - 5/72 x z + 5/36 x z + 7/216 x z , + 288 + + 245 2 2 3 175 2 3 49 2 3 343 2 3 3 + COEFF(-1, -1, -1) = --- z y x - --- z y x - -- z y x - --- y x z + 192 96 72 576 + + 35 3 245 3 3 3 35 3 2 2 + + -- z y x + --- y x z - 7/27 z x + -- x z + 5/9 x z - 8/27 x z + 36 288 72 + + 35 2 2 25 2 2 35 2 2 + + -- x y z + 10/9 x y z - -- x y z - 7/9 x y z + -- x y z + 24 12 24 + + 125 2 2 25 2 175 2 2 2 49 3 3 175 2 3 + + --- x y z - -- x y z - --- x y z - --- x z - --- x y z + 32 12 64 216 96 + + 35 3 49 2 3 245 2 2 3 35 2 3 2 25 2 2 + + -- x y z - -- x y z + --- x y z + -- x z + 5/9 x z - -- x z + 36 72 192 72 24 + + 3 35 2 2 3 2 3 + - 7/27 x z , COEFF(0, -1, -1) = - -- z y x + 25/6 z y x + 12 + + 2 3 49 2 3 3 3 35 3 3 16 3 + + 14/9 z y x + -- y x z - 20/9 z y x - -- y x z + -- z x + 36 18 27 + + 2 3 2 28 2 2 3 + + 7/6 y z - 10/9 x z - -- x z - 5/3 y z + 4/9 z - 5/6 z + 7/18 z + 27 + + 2 49 2 2 175 2 2 245 2 2 2 14 3 3 + + 35/9 x y z - -- x y z - --- x y z + --- x y z + -- x z + 18 24 48 27 + + 245 2 3 343 2 2 3 49 2 3 49 2 3 35 2 2 35 3 + + --- x y z - --- x y z - -- x z + -- y z + -- x z - -- y z + 72 144 54 48 18 24 + + 2 35 2 2 35 2 2 3 2 3 + + 25/8 y z - -- y z , COEFF(1, -1, -1) = -- z y x - 25/6 z y x + 16 12 + + 2 3 49 2 3 3 3 35 3 3 16 3 + - 14/9 z y x - -- y x z + 20/9 z y x + -- y x z - -- z x + 36 18 27 + + 3 2 20 2 35 2 2 2 + + 10/9 x z + -- x z + 8/27 x z - -- x y z - 10/9 x y z - 25/9 x y z + 27 24 + + 2 35 2 2 125 2 2 25 2 175 2 2 2 + + 7/9 x y z + -- x y z + --- x y z + -- x y z - --- x y z + 18 24 12 48 + + 14 3 3 175 2 3 35 3 49 2 3 245 2 2 3 + - -- x z - --- x y z - -- x y z + -- x y z + --- x y z + 27 72 36 72 144 + + 35 2 3 2 25 2 2 3 + + -- x z - 5/9 x z - -- x z + 7/27 x z , COEFF(2, -1, -1) = + 54 18 + + 245 2 2 3 175 2 3 49 2 3 343 2 3 3 35 3 + - --- z y x + --- z y x + -- z y x + --- y x z - -- z y x + 192 96 72 576 36 + + 245 3 3 3 35 3 2 2 35 2 2 + - --- y x z + 7/27 z x - -- x z - 2/9 x z - 1/27 x z + --- x y z + 288 72 192 + + 2 2 2 2 25 2 2 + + 5/36 x y z + 5/6 x y z - 7/72 x y z - 7/12 x y z - -- x y z + 16 + + 25 2 35 2 2 2 49 3 3 35 2 3 35 3 + - -- x y z + -- x y z + --- x z + -- x y z + --- x y z + 96 32 216 48 288 + + 49 2 3 49 2 2 3 2 3 2 2 2 + - --- x y z - -- x y z - 7/36 x z + 5/72 x z + 5/12 x z + 576 96 + + 3 25 2 3 35 3 3 2 + - 7/216 x z , COEFF(3, -1, -1) = - -- z y x + --- y x z - 5/36 x y z + 96 288 + + 2 3 2 3 2 35 2 2 2 2 2 + - 7/72 z y x + 7/216 x z + 1/27 x z - --- x y z - 5/72 x z + 192 + + 3 3 3 3 2 2 3 2 + - 1/27 z x + 5/36 z y x - 7/216 x z + 7/72 x y z + 5/72 x z + + 25 2 2 35 2 3 35 2 2 3 49 2 3 3 49 2 2 3 + + -- x y z - --- x y z + --- z y x - --- y x z + --- x y z , + 96 288 192 576 576 + + 49 3 3 2 3 2 2 14 2 + COEFF(-2, 0, -1) = --- y x z - 7/36 x y z + 4/9 x y z - -- x y z + 216 27 + + 2 3 3 3 2 3 49 3 + - 7/36 y x z + 7/27 z y x - 2/9 z y x + --- x y z + 7/27 x y z + 216 + + 35 2 3 2 2 3 2 2 3 2 2 2 35 2 2 + - -- z y x + 5/12 z y x + 7/18 x y z - 5/6 x y z + -- x y z + 72 36 + + 49 2 3 35 2 2 2 2 + - --- x y z - -- x y z - 2/9 x y z + 5/12 x y z , COEFF(-1, 0, -1) = + 108 72 + + 49 2 3 3 49 3 245 2 3 35 2 2 3 2 2 + -- y x z - -- z y x + --- x y z - -- x y z - 10/3 x y z + 36 27 72 12 + + 245 2 3 2 2 3 2 2 49 3 + + --- z y x + 16/9 x y z + 14/9 x y z - 10/3 x y z - -- x y z + 72 27 + + 2 2 2 343 3 3 2 2 35 2 2 3 + + 25/4 x y z - --- y x z + 35/9 x y z + 35/9 x y z - -- z y x + 216 12 + + 175 2 2 2 3 56 2 2 2 + - --- x y z + 14/9 z y x - -- x y z, COEFF(0, 0, -1) = - 35/3 x y z + 24 27 + + 2 196 2 343 2 3 2 2 49 3 98 3 3 + - 35/6 y z - --- x y z - --- x y z + 5 y z + -- y z + -- y x z + 27 54 18 27 + + 245 2 2 2 2 2 112 3 2 3 + + --- x y z + 56/9 x y z - 8/3 y z + --- z y x - 7/3 y z + 18 27 + + 2 3 3 2 3 2 2 3 2 2 3 + - 28/9 y x z + 28/9 y z - 32/9 z y x + 49/9 x y z + 20/3 z y x + + 2 3 2 2 3 3 + - 70/9 z y x , COEFF(1, 0, -1) = - 16/9 x y z + 28/9 y x z + + 175 2 2 2 3 2 2 140 2 2 3 + - --- x y z + 32/9 z y x - 40/9 x y z + --- x y z - 14/9 x y z + 18 27 + + 98 3 3 112 3 2 3 245 2 3 2 2 3 + - -- y x z - --- z y x + 70/9 z y x + --- x y z - 20/3 z y x + 27 27 54 + + 2 2 2 3 2 2 2 2 2 49 3 + - 35/9 x y z - 35/9 x y z + 10/3 x y z + 25/3 x y z + -- x y z + 27 + + 56 49 3 2 49 2 3 + + -- x y z, COEFF(2, 0, -1) = - --- x y z - 14/9 x y z - -- x y z + 27 216 36 + + 343 3 3 49 3 2 35 2 + + --- y x z + -- z y x + 2/9 x y z + -- x y z - 7/27 x y z + 216 27 72 + + 245 2 3 2 2 2 2 2 3 2 2 2 3 + - --- z y x - 5/2 x y z + 7/6 x y z - 5/12 x y z - 14/9 z y x + 72 + + 2 2 49 2 3 3 35 2 2 35 2 2 3 2 3 + + 4/3 x y z - -- y x z + -- x y z + -- z y x + 7/36 x y z , + 36 12 12 + + 35 2 3 35 2 2 3 2 3 + COEFF(3, 0, -1) = -- z y x - -- x y z - 7/27 z y x + 2/9 z y x + 72 72 + + 49 2 3 49 3 3 2 2 3 2 3 3 2 + + --- x y z - --- y x z - 5/12 z y x + 7/36 y x z + 7/27 x y z + 216 216 + + 2 2 2 2 2 2 2 3 + - 2/9 x y z + 5/12 x y z - 7/36 x y z , COEFF(-2, 1, -1) = + + 2 2 3 25 2 3 2 3 2 3 3 3 + - 5/12 z y x + -- z y x + 2/9 z y x + 7/36 y x z - 5/27 z y x + 72 + + 35 3 3 3 3 2 2 + - --- y x z - 1/27 z x + 5/72 x z + 2/27 x z - 1/27 x z + 216 + + 2 2 10 2 2 2 2 + - 5/12 x y z - 5/27 x y z + -- x y z + 2/9 x y z - 4/9 x y z + 27 + + 25 2 2 25 2 2 2 2 3 3 35 2 3 + - -- x y z + -- x y z + 5/6 x y z - 7/216 x z + --- x y z + 36 72 108 + + 35 3 2 3 2 2 3 2 3 2 + - --- x y z + 7/36 x y z - 7/18 x y z + 7/108 x z + 5/72 x z + 216 + + 2 2 3 35 2 2 3 175 2 3 + - 5/36 x z - 7/216 x z , COEFF(-1, 1, -1) = -- z y x - --- z y x + 12 72 + + 2 3 49 2 3 3 35 3 245 3 3 3 + - 14/9 z y x - -- y x z + -- z y x + --- y x z + 7/27 z x + 36 27 216 + + 35 3 2 2 2 2 40 2 + - -- x z - 5/9 x z + 8/27 x z + 10/3 x y z + -- x y z - 25/9 x y z + 72 27 + + 2 2 2 125 2 2 2 2 2 2 + - 16/9 x y z + 10/3 x y z + --- x y z - 25/9 x y z - 25/4 x y z + 24 + + 49 3 3 175 2 3 35 3 2 3 35 2 2 3 + + --- x z - --- x y z + -- x y z - 14/9 x y z + -- x y z + 216 72 27 12 + + 35 2 3 2 25 2 2 3 + - -- x z - 5/9 x z + -- x z + 7/27 x z , COEFF(0, 1, -1) = + 72 24 + + 2 2 3 2 3 2 3 2 3 3 80 3 + - 20/3 z y x + 50/9 z y x + 32/9 z y x + 28/9 y x z - -- z y x + 27 + + 70 3 3 16 3 2 3 2 28 2 + - -- y x z - -- z x + 8/3 y z + 10/9 x z + -- x z - 20/9 y z + 27 27 27 + + 2 3 140 2 2 2 175 2 2 + - 4/9 z + 5/6 z - 7/18 z + --- x y z - 56/9 x y z - --- x y z + 27 18 + + 2 2 2 14 3 3 245 2 3 2 2 3 49 2 3 + + 35/3 x y z - -- x z + --- x y z - 49/9 x y z + -- x z + 27 54 54 + + 2 3 35 2 2 35 3 2 2 2 + + 7/3 y z - -- x z - -- y z + 25/6 y z - 5 y z , COEFF(1, 1, -1) = + 18 18 + + 2 2 3 2 3 2 3 2 3 3 80 3 + 20/3 z y x - 50/9 z y x - 32/9 z y x - 28/9 y x z + -- z y x + 27 + + 70 3 3 16 3 3 2 20 2 2 2 + + -- y x z + -- z x - 10/9 x z - -- x z - 8/27 x z - 10/3 x y z + 27 27 27 + + 40 100 2 2 2 2 125 2 2 + - -- x y z - --- x y z + 16/9 x y z + 40/9 x y z + --- x y z + 27 27 18 + + 2 2 2 2 14 3 3 175 2 3 35 3 + + 25/9 x y z - 25/3 x y z + -- x z - --- x y z - -- x y z + 27 54 27 + + 2 3 2 2 3 35 2 3 2 25 2 2 + + 14/9 x y z + 35/9 x y z - -- x z + 5/9 x z + -- x z + 54 18 + + 3 35 2 2 3 175 2 3 2 3 + - 7/27 x z , COEFF(2, 1, -1) = - -- z y x + --- z y x + 14/9 z y x + 12 72 + + 49 2 3 3 35 3 245 3 3 3 35 3 2 2 + + -- y x z - -- z y x - --- y x z - 7/27 z x + -- x z + 2/9 x z + 36 27 216 72 + + 2 2 2 2 + + 1/27 x z + 5/12 x y z + 5/27 x y z + 10/9 x y z - 2/9 x y z + + 2 2 25 2 2 25 2 2 2 2 49 3 3 + - 4/3 x y z - -- x y z - -- x y z + 5/2 x y z - --- x z + 12 72 216 + + 35 2 3 35 3 2 3 2 2 3 2 3 + + -- x y z + --- x y z - 7/36 x y z - 7/6 x y z + 7/36 x z + 36 216 + + 2 2 2 3 2 + - 5/72 x z - 5/12 x z + 7/216 x z , COEFF(3, 1, -1) = - 1/27 x z + + 25 2 2 3 3 3 25 2 3 35 3 3 + + -- x y z + 7/216 x z + 1/27 z x - -- z y x + --- y x z + 72 72 216 + + 3 2 2 2 2 3 2 2 2 2 3 + - 5/72 x z + 5/72 x z - 2/9 z y x + 2/9 x y z + 5/12 z y x + + 2 2 3 2 3 3 2 2 2 35 2 3 + + 7/36 x y z - 7/36 y x z - 5/12 x y z - --- x y z + 216 + + 2 3 2 3 35 2 2 3 + - 5/27 x y z + 5/27 z y x - 7/216 x z , COEFF(-2, 2, -1) = --- z y x + 192 + + 2 3 2 3 49 2 3 3 3 3 3 + - 5/48 z y x - 7/72 z y x - --- y x z + 1/18 z y x + 7/144 y x z + 576 + + 3 3 2 2 35 2 2 + + 1/216 z x - 5/576 x z - 1/108 x z + 1/216 x z + --- x y z + 192 + + 2 2 2 2 2 2 + + 1/18 x y z - 1/9 x y z - 7/72 x y z + 7/36 x y z + 5/24 x y z + + 2 35 2 2 2 3 3 2 3 3 + - 5/48 x y z - -- x y z + 7/1728 x z - 7/72 x y z + 7/144 x y z + 96 + + 49 2 3 49 2 2 3 2 3 2 2 2 + - --- x y z + --- x y z - 7/864 x z - 5/576 x z + 5/288 x z + 576 288 + + 3 245 2 2 3 35 2 3 49 2 3 + + 7/1728 x z , COEFF(-1, 2, -1) = - --- z y x + -- z y x + -- z y x + 192 48 72 + + 343 2 3 3 3 49 3 3 3 35 3 2 + + --- y x z - 7/18 z y x - --- y x z - 7/216 z x + --- x z + 576 144 576 + + 2 35 2 2 2 2 + + 5/72 x z - 1/27 x z - -- x y z - 4/9 x y z + 5/6 x y z + 7/9 x y z + 24 + + 35 2 2 25 2 2 2 175 2 2 2 49 3 3 + - -- x y z - -- x y z + 5/6 x y z + --- x y z - ---- x z + 24 16 64 1728 + + 35 2 3 3 49 2 3 245 2 2 3 35 2 3 + + -- x y z - 7/18 x y z + -- x y z - --- x y z + --- x z + 48 72 192 576 + + 2 25 2 2 3 35 2 2 3 + + 5/72 x z - --- x z - 7/216 x z , COEFF(0, 2, -1) = -- z y x + 192 12 + + 2 3 2 3 49 2 3 3 3 3 3 + - 5/3 z y x - 14/9 z y x - -- y x z + 8/9 z y x + 7/9 y x z + 36 + + 3 2 3 2 2 + + 2/27 z x - 7/6 y z - 5/36 x z - 7/54 x z + 2/3 y z + 1/18 z + + 2 3 2 49 2 2 35 2 2 + - 5/48 z + 7/144 z - 14/9 x y z + -- x y z + -- x y z + 18 12 + + 245 2 2 2 3 3 49 2 3 343 2 2 3 49 2 3 + - --- x y z + 7/108 x z - -- x y z + --- x y z - --- x z + 48 36 144 432 + + 49 2 3 35 2 2 3 2 35 2 2 + - -- y z + --- x z + 7/12 y z - 5/4 y z + -- y z , COEFF(1, 2, -1) + 48 144 16 + + 35 2 2 3 2 3 2 3 49 2 3 3 3 + = - -- z y x + 5/3 z y x + 14/9 z y x + -- y x z - 8/9 z y x + 12 36 + + 3 3 3 3 2 2 35 2 2 + - 7/9 y x z - 2/27 z x + 5/36 x z + 5/54 x z + 1/27 x z + -- x y z + 24 + + 2 2 35 2 2 25 2 2 + + 4/9 x y z + 10/9 x y z - 7/9 x y z - -- x y z - -- x y z + 18 12 + + 2 175 2 2 2 3 3 35 2 3 3 + - 5/6 x y z + --- x y z - 7/108 x z + -- x y z + 7/18 x y z + 48 36 + + 49 2 3 245 2 2 3 35 2 3 2 25 2 2 + - -- x y z - --- x y z + --- x z - 5/72 x z - --- x z + 72 144 432 144 + + 3 245 2 2 3 35 2 3 49 2 3 + + 7/216 x z , COEFF(2, 2, -1) = --- z y x - -- z y x - -- z y x + 192 48 72 + + 343 2 3 3 3 49 3 3 3 35 3 2 + - --- y x z + 7/18 z y x + --- y x z + 7/216 z x - --- x z + 576 144 576 + + 2 35 2 2 2 + - 1/36 x z - 1/216 x z - --- x y z - 1/18 x y z - 1/3 x y z + 192 + + 2 2 2 2 2 2 35 2 2 2 + + 7/72 x y z + 7/12 x y z + 5/8 x y z + 5/48 x y z - -- x y z + 32 + + 49 3 3 2 3 3 49 2 3 49 2 2 3 + + ---- x z - 7/24 x y z - 7/144 x y z + --- x y z + -- x y z + 1728 576 96 + + 2 3 2 2 2 3 + - 7/288 x z + 5/576 x z + 5/96 x z - 7/1728 x z , COEFF(3, 2, -1) = + + 35 2 2 3 49 2 2 3 3 2 2 2 + - --- z y x - --- x y z + 5/576 x z + 1/216 x z + 1/18 x y z + 192 576 + + 2 3 3 3 3 3 2 2 3 + + 7/72 z y x - 7/144 y x z - 7/1728 x z - 5/48 x y z - 1/216 z x + + 2 2 35 2 2 2 2 3 3 2 3 + - 5/576 x z + --- x y z + 5/48 z y x - 1/18 z y x + 7/1728 x z + 192 + + 49 2 3 3 2 3 2 2 + + --- y x z + 7/144 x y z - 7/72 x y z, COEFF(-2, 3, -1) = + 576 + + 2 2 3 2 3 3 + - 5/144 x y z - 1/108 z y x - 1/108 x y z + 1/72 z y x - 7/864 x y z + + 2 3 2 3 2 2 2 3 + + 5/288 z y x + 7/576 x y z + 1/54 x y z - 5/192 z y x + + 3 3 2 2 3 2 2 2 2 3 3 + - 7/864 y x z - 7/288 x y z + 5/96 x y z + 7/576 y x z + + 2 2 2 2 2 2 3 + - 5/192 x y z + 1/72 x y z - 1/36 x y z + 7/432 x y z + + 2 35 2 2 3 35 2 2 3 + + 5/288 x y z , COEFF(-1, 3, -1) = --- z y x + --- x y z + 192 192 + + 2 3 2 3 3 2 2 2 + - 7/72 z y x - 7/72 x y z + 7/108 x y z + 5/24 x y z - 5/36 x y z + + 49 3 3 3 2 35 2 3 + + --- y x z + 2/27 x y z + 7/108 z y x - 5/36 x y z - --- z y x + 864 288 + + 35 2 3 25 2 2 2 49 2 3 3 2 2 2 + - --- x y z - -- x y z - --- y x z + 5/24 x y z - 1/9 x y z + 288 64 576 + + 25 2 2 2 2 2 + + -- x y z , COEFF(0, 3, -1) = 5/24 y z - 1/9 y z - 7/18 x y z + 96 + + 2 2 3 49 2 3 2 3 35 2 2 2 + - 5/16 y z - 7/72 y z + --- x y z + 7/48 y z + -- x y z + 216 48 + + 2 3 3 49 2 2 3 3 3 2 2 3 + + 5/18 z y x - 4/27 z y x - --- x y z - 7/54 y x z - 5/12 z y x + 144 + + 35 2 2 2 3 3 2 2 3 2 + - -- x y z + 7/36 y x z + 7/27 x y z + 2/9 z y x + 1/6 y z, + 72 + + 35 2 2 3 2 3 2 2 2 + COEFF(1, 3, -1) = --- x y z - 5/18 z y x + 5/18 x y z - 5/27 x y z + 144 + + 2 2 3 3 2 3 35 2 3 2 2 + + 5/12 z y x + 4/27 z y x - 2/9 z y x - --- x y z - 5/24 x y z + 216 + + 25 2 2 2 3 3 2 25 2 2 2 + - -- x y z + 7/54 y x z + 1/9 x y z + -- x y z + 5/36 x y z + 48 72 + + 3 2 3 3 2 3 + - 7/108 x y z - 2/27 x y z - 7/36 y x z + 7/72 x y z , + + 35 2 2 3 2 49 3 3 + COEFF(2, 3, -1) = - --- z y x - 5/288 x y z - --- y x z + 192 864 + + 2 2 2 2 3 2 2 2 3 + + 5/32 x y z + 7/72 z y x - 1/72 x y z - 7/96 x y z + + 2 3 2 2 3 2 2 + - 7/576 x y z - 5/48 x y z + 7/864 x y z + 5/192 x y z + + 49 2 3 3 2 2 3 35 2 3 2 + + --- y x z - 1/12 x y z - 7/108 z y x + --- z y x + 1/18 x y z + 576 288 + + 2 3 2 3 3 + + 1/108 x y z + 7/144 x y z , COEFF(3, 3, -1) = - 7/576 y x z + + 2 2 3 2 2 3 3 3 2 2 + + 7/576 x y z + 5/192 z y x + 7/864 y x z + 5/288 x y z + + 2 2 3 2 3 2 2 2 + - 1/108 x y z - 7/864 x y z - 1/72 z y x - 5/192 x y z + + 3 2 2 2 3 + + 1/108 z y x + 1/72 x y z - 5/288 z y x , COEFF(-2, -2, 0) = + + 2 2 3 2 3 2 3 3 3 3 + - 7/144 z y x + 7/108 z y x + 1/36 y x z - 1/27 y x z + + 3 2 3 2 2 2 2 2 + - 7/432 x z + 1/144 x + 1/144 x - 1/72 x - 7/144 x y z - 1/24 x y + + 2 2 2 2 2 2 2 2 + - 7/54 x y z + 1/18 x y + 7/108 x y z + 7/72 x y z + 1/48 x y + + 3 3 3 2 3 2 3 + - 1/36 x y + 1/108 x z - 1/36 y x + 1/48 y x + 2/27 x y z + + 3 2 3 2 2 3 2 3 2 + - 1/27 x y z + 1/36 x y z - 1/18 x y z - 1/54 x z - 7/432 x z + + 2 2 3 49 2 2 3 49 2 3 + + 7/216 x z + 1/108 x z , COEFF(-1, -2, 0) = --- z y x - --- z y x + 144 108 + + 2 3 3 3 3 49 3 2 3 2 + - 7/36 y x z + 7/27 y x z + --- x z - 1/18 x - 7/144 x + 5/48 x + 432 + + 2 2 2 2 35 2 2 2 14 2 + + 7/18 x y z + 5/16 x y + -- x y z - 5/12 x y - -- x y z + 36 27 + + 35 2 2 2 2 3 3 3 2 3 + - -- x y z - 1/6 x y + 2/9 x y - 7/108 x z + 7/36 y x - 7/48 y x + 48 + + 2 3 3 2 3 2 2 3 2 3 + - 5/9 x y z + 8/27 x y z - 2/9 x y z + 5/12 x y z + 5/36 x z + + 2 35 2 2 3 2 2 3 + + 7/54 x z - --- x z - 2/27 x z , COEFF(0, -2, 0) = - 7/9 z y x + 144 + + 28 2 3 2 3 3 16 3 3 3 2 + + -- z y x + 4/9 y x z - -- y x z - 7/27 x z + 1/12 - 1/3 y + 27 27 + + 2 3 3 2 2 2 2 49 2 2 + - 7/36 z + 1/9 z + 1/9 x - 7/36 x + 1/4 y - 7/12 x y - -- x y z + 27 + + 2 49 2 2 2 3 3 3 2 3 28 2 3 + + 7/9 x y + -- x y z + 4/27 x z - 4/9 y x + 1/3 y x + -- x y z + 36 27 + + 2 2 3 2 3 2 3 49 2 2 3 2 + - 7/9 x y z - 7/27 x z + 1/3 y z + --- x z - 4/9 y z + 7/9 y z + 108 + + 2 2 2 2 3 28 2 3 2 3 3 + - 7/12 y z , COEFF(1, -2, 0) = 7/9 z y x - -- z y x - 4/9 y x z + 27 + + 16 3 3 3 2 3 2 2 2 + + -- y x z + 7/27 x z + 1/18 x - 1/9 x + 5/36 x - 7/18 x y z + 27 + + 2 2 35 2 2 2 14 2 35 2 2 2 2 + + 5/12 x y + -- x y z - 5/9 x y + -- x y z - -- x y z + 1/6 x y + 27 27 36 + + 3 3 3 2 3 20 2 3 3 + - 2/9 x y - 4/27 x z + 4/9 y x - 1/3 y x - -- x y z - 8/27 x y z + 27 + + 2 3 2 2 3 2 3 2 35 2 2 + + 2/9 x y z + 5/9 x y z + 5/27 x z - 7/54 x z - --- x z + 108 + + 3 49 2 2 3 49 2 3 + + 2/27 x z , COEFF(2, -2, 0) = - --- z y x + --- z y x + 144 108 + + 2 3 3 3 3 49 3 2 3 2 + + 7/36 y x z - 7/27 y x z - --- x z - 1/144 x + 7/144 x - 1/24 x + 432 + + 2 2 2 2 2 2 2 2 + + 7/144 x y z - 1/8 x y - 7/18 x y z + 1/6 x y - 7/108 x y z + + 2 2 2 2 3 3 3 + + 7/24 x y z - 1/48 x y + 1/36 x y + 7/108 x z - 7/36 y x + + 2 3 2 3 3 2 3 2 2 3 + + 7/48 y x + 2/9 x y z + 1/27 x y z - 1/36 x y z - 1/6 x y z + + 2 3 2 2 2 3 + - 1/18 x z + 7/432 x z + 7/72 x z - 1/108 x z , COEFF(3, -2, 0) = + + 2 2 3 3 2 3 3 3 + 7/144 z y x - 1/144 x - 1/36 x y - 1/108 x z + 1/36 y x + + 2 3 3 2 2 2 2 3 3 3 2 3 + - 1/36 y x z - 7/432 x z + 1/36 x y z + 1/27 y x z + 1/108 x z + + 2 3 3 2 2 3 2 3 2 + - 1/27 x y z + 7/432 x z - 7/108 z y x - 1/48 y x + 1/144 x + + 2 2 2 2 2 2 2 + + 7/108 x y z - 7/144 x y z + 1/48 x y , COEFF(-2, -1, 0) = + + 49 2 2 3 35 2 3 2 3 3 3 3 3 2 + --- z y x - -- z y x - 7/36 y x z + 5/18 y x z + 7/54 x z + 144 72 + + 3 2 49 2 2 2 2 35 2 2 + - 1/18 x - 1/18 x + 1/9 x + --- x y z + 7/24 x y + -- x y z + 144 36 + + 2 35 2 49 2 2 2 2 3 3 + - 5/12 x y - -- x y z - -- x y z - 7/48 x y + 5/24 x y - 2/27 x z + 72 72 + + 3 2 3 2 3 3 2 3 + + 5/24 y x - 7/48 y x - 5/9 x y z + 5/18 x y z - 7/36 x y z + + 2 2 3 2 3 2 2 2 3 + + 7/18 x y z + 4/27 x z + 7/54 x z - 7/27 x z - 2/27 x z , + + 343 2 2 3 245 2 3 49 2 3 3 35 3 3 + COEFF(-1, -1, 0) = - --- z y x + --- z y x + -- y x z - -- y x z + 144 72 36 18 + + 49 3 2 3 2 49 2 2 35 2 2 + - -- x z + 4/9 x + 7/18 x - 5/6 x - -- x y z - -- x y + 54 18 16 + + 175 2 2 2 2 245 2 2 2 2 + - --- x y z + 25/8 x y + 35/9 x y z + --- x y z + 7/6 x y + 24 48 + + 14 3 3 35 3 49 2 3 2 3 3 + - 5/3 x y + -- x z - -- y x + -- y x + 25/6 x y z - 20/9 x y z + 27 24 48 + + 2 3 35 2 2 3 2 3 28 2 35 2 2 16 3 + + 14/9 x y z - -- x y z - 10/9 x z - -- x z + -- x z + -- x z , + 12 27 18 27 + + 2 2 3 2 3 2 3 3 + COEFF(0, -1, 0) = 49/9 z y x - 70/9 z y x - 28/9 y x z + + 3 3 56 3 2 2 3 3 + + 40/9 y x z + -- x z - 2/3 + 5/2 y + 14/9 z - 8/9 z - 8/9 x + 27 + + 2 2 49 2 2 245 2 2 2 343 2 2 2 + + 14/9 x - 7/4 y + -- x y + --- x y z - 35/6 x y - --- x y z + 12 18 36 + + 32 3 3 3 2 3 2 3 2 2 3 + - -- x z + 10/3 y x - 7/3 y x - 70/9 x y z + 49/9 x y z + 27 + + 56 2 3 2 3 98 2 2 3 2 49 2 2 + + -- x z - 7/3 y z - -- x z + 10/3 y z - 35/6 y z + -- y z , + 27 27 12 + + 2 2 3 2 3 2 3 3 + COEFF(1, -1, 0) = - 49/9 z y x + 70/9 z y x + 28/9 y x z + + 3 3 56 3 2 3 2 49 2 2 + - 40/9 y x z - -- x z - 4/9 x + 8/9 x - 10/9 x + -- x y z + 27 18 + + 35 2 2 175 2 2 2 2 245 2 2 2 + - -- x y - --- x y z + 25/6 x y - 35/9 x y z + --- x y z + 12 18 36 + + 2 32 3 3 3 2 3 2 3 + - 7/6 x y + 5/3 x y + -- x z - 10/3 y x + 7/3 y x + 50/9 x y z + 27 + + 3 2 3 2 2 3 40 2 3 28 2 + + 20/9 x y z - 14/9 x y z - 35/9 x y z - -- x z + -- x z + 27 27 + + 70 2 2 16 3 343 2 2 3 245 2 3 + + -- x z - -- x z , COEFF(2, -1, 0) = --- z y x - --- z y x + 27 27 144 72 + + 49 2 3 3 35 3 3 49 3 2 3 2 + - -- y x z + -- y x z + -- x z + 1/18 x - 7/18 x + 1/3 x + 36 18 54 + + 49 2 2 2 2 35 2 2 2 35 2 + - --- x y z + 7/8 x y + -- x y z - 5/4 x y + -- x y z + 144 12 72 + + 49 2 2 2 2 14 3 3 35 3 49 2 3 + - -- x y z + 7/48 x y - 5/24 x y - -- x z + -- y x - -- y x + 24 27 24 48 + + 2 3 3 2 3 2 2 3 2 3 + - 5/3 x y z - 5/18 x y z + 7/36 x y z + 7/6 x y z + 4/9 x z + + 2 2 2 3 2 2 + - 7/54 x z - 7/9 x z + 2/27 x z , COEFF(3, -1, 0) = - 7/48 x y + + 35 2 3 2 2 3 2 3 3 3 3 49 2 2 3 + + -- z y x - 7/36 x y z + 7/36 y x z + 2/27 x z - --- z y x + 72 144 + + 3 3 3 2 2 3 3 2 3 + - 5/18 y x z - 7/54 x z + 7/48 y x + 1/18 x - 2/27 x z + + 2 3 49 2 2 2 35 2 2 2 3 + + 5/18 x y z + --- x y z - -- x y z - 1/18 x - 5/24 y x + 144 72 + + 2 2 2 2 2 49 2 3 + + 7/54 x z + 5/24 x y, COEFF(-2, 0, 0) = - 7/9 x y z + -- z y x + 54 + + 49 2 2 2 2 3 2 2 2 3 + - -- x y z - 7/18 x y - 7/9 z y x - 2/3 x y + 1/3 y x + 27 + + 2 2 3 28 2 3 14 3 14 3 3 3 + - 8/9 x y z + -- x y z - -- x y z - -- y x z - 7/18 y x + 27 27 27 + + 2 49 2 2 3 3 2 2 2 2 + + 1/3 x y + -- x y z + 4/9 y x z + 7/9 x y + 14/9 x y z + 54 + + 2 3 2 2 2 3 49 3 + + 4/9 x y z , COEFF(-1, 0, 0) = - 8/3 x y + 49/9 z y x + -- y x + 18 + + 112 3 2 2 3 2 2 2 343 2 3 2 3 + + --- x y z + 20/3 x y z - 35/3 x y z - --- z y x - 32/9 x y z + 27 54 + + 196 2 2 3 2 2 98 3 3 2 + - --- x y z - 7/3 y x + 5 x y + -- y x z + 28/9 x y - 35/6 x y + 27 27 + + 245 2 2 2 2 2 3 3 2 3 + + --- x y z + 56/9 x y z - 28/9 y x z - 70/9 x y z , + 18 + + 2 2 2 3 2 2 3 2 2 + COEFF(0, 0, 0) = - 28/3 x y + 16/3 y x - 112/9 z y x - 28/3 y z + + 2 3 2 686 2 2 + + 98/9 y z - 14/3 y - 56/9 y z + 98/9 x y - --- x y z + 27 + + 2 2 2 2 3 3 2 3 392 2 3 + + 196/9 x y z + 64/9 y x z + 16/3 y z + --- z y x + 27 + + 2 2 3 224 3 3 2 392 2 3 3 + - 112/9 x y z - --- y x z + 4 y + --- x y z - 56/9 y x , + 27 27 + + 2 2 392 2 3 224 3 3 2 2 + COEFF(1, 0, 0) = - 56/9 x y z - --- z y x + --- y x z + 20/3 x y + 27 27 + + 196 2 2 2 3 2 2 2 2 3 3 + + --- x y z + 80/9 x y z - 140/9 x y z + 32/9 x y z + 56/9 y x + 27 + + 112 3 2 3 3 2 2 2 3 + - 28/9 x y - --- x y z - 64/9 y x z - 70/9 x y + 112/9 z y x + 27 + + 2 280 2 3 2 3 490 2 2 + + 8/3 x y - --- x y z - 16/3 y x + --- x y z , COEFF(2, 0, 0) = + 27 27 + + 2 3 2 2 2 3 3 2 3 2 2 3 + 7/3 y x + 7/9 x y z + 28/9 y x z + 28/9 x y z - 49/9 z y x + + 2 2 3 343 2 3 49 3 2 2 2 + - 8/3 x y z + --- z y x + 7/18 x y - -- y x - 2 x y + 7/3 x y + 54 18 + + 49 2 2 3 2 98 3 3 2 2 2 + - -- x y z - 4/9 x y z - 1/3 x y - -- y x z + 14/3 x y z + 54 27 + + 14 3 2 2 3 2 3 + + -- x y z - 49/9 x y z , COEFF(3, 0, 0) = 7/18 y x - 1/3 y x + 27 + + 49 2 2 2 2 2 3 49 2 3 2 3 3 + + -- x y z - 7/18 x y + 7/9 z y x - -- z y x - 4/9 y x z + 54 54 + + 14 2 3 2 2 2 2 2 3 2 2 14 3 3 + - -- x y z - 7/9 x y z + 4/9 x y z + 1/3 x y + -- y x z , + 27 27 + + 2 2 3 35 2 3 2 3 3 10 3 3 + COEFF(-2, 1, 0) = 7/9 z y x - -- z y x - 4/9 y x z + -- y x z + 54 27 + + 3 2 3 2 2 2 2 2 + - 7/54 x z + 1/18 x + 1/18 x - 1/9 x + 7/9 x y z + 2/3 x y + + 35 2 2 2 35 2 2 2 2 2 + + -- x y z - 5/9 x y - -- x y z - 14/9 x y z - 1/3 x y + 5/18 x y + 27 54 + + 3 3 3 2 3 20 2 3 10 3 + + 2/27 x z + 5/18 y x - 1/3 y x - -- x y z + -- x y z + 27 27 + + 2 3 2 2 3 2 3 2 2 2 + - 4/9 x y z + 8/9 x y z - 4/27 x z - 7/54 x z + 7/27 x z + + 3 2 2 3 245 2 3 + + 2/27 x z , COEFF(-1, 1, 0) = - 49/9 z y x + --- z y x + 54 + + 2 3 3 70 3 3 49 3 2 3 2 + + 28/9 y x z - -- y x z + -- x z - 4/9 x - 7/18 x + 5/6 x + 27 54 + + 2 2 2 2 175 2 2 2 140 2 + - 56/9 x y z - 5 x y - --- x y z + 25/6 x y + --- x y z + 18 27 + + 2 2 2 2 14 3 3 35 3 2 3 + + 35/3 x y z + 8/3 x y - 20/9 x y - -- x z - -- y x + 7/3 y x + 27 18 + + 2 3 80 3 2 3 2 2 3 2 3 + + 50/9 x y z - -- x y z + 32/9 x y z - 20/3 x y z + 10/9 x z + 27 + + 28 2 35 2 2 16 3 2 2 3 + + -- x z - -- x z - -- x z , COEFF(0, 1, 0) = 112/9 z y x + 27 18 27 + + 280 2 3 2 3 3 160 3 3 56 3 2 + - --- z y x - 64/9 y x z + --- y x z - -- x z + 2/3 + 10/3 y + 27 27 27 + + 2 3 3 2 2 2 2 490 2 2 + - 14/9 z + 8/9 z + 8/9 x - 14/9 x - 4 y + 28/3 x y + --- x y z + 27 + + 2 2 2 2 32 3 3 3 2 3 + - 70/9 x y - 196/9 x y z + -- x z + 40/9 y x - 16/3 y x + 27 + + 280 2 3 2 2 3 56 2 3 2 3 98 2 2 + - --- x y z + 112/9 x y z - -- x z - 16/3 y z + -- x z + 27 27 27 + + 3 2 2 2 2 2 3 + + 40/9 y z - 70/9 y z + 28/3 y z , COEFF(1, 1, 0) = - 112/9 z y x + + 280 2 3 2 3 3 160 3 3 56 3 2 3 + + --- z y x + 64/9 y x z - --- y x z + -- x z + 4/9 x - 8/9 x + 27 27 27 + + 2 2 2 2 2 350 2 2 2 + + 10/9 x + 56/9 x y z - 20/3 x y - --- x y z + 50/9 x y + 27 + + 140 2 2 2 2 2 32 3 3 3 + - --- x y z + 140/9 x y z - 8/3 x y + 20/9 x y - -- x z - 40/9 y x + 27 27 + + 2 3 200 2 3 80 3 2 3 2 2 3 + + 16/3 y x + --- x y z + -- x y z - 32/9 x y z - 80/9 x y z + 27 27 + + 40 2 3 28 2 70 2 2 16 3 2 2 3 + + -- x z - -- x z - -- x z + -- x z , COEFF(2, 1, 0) = 49/9 z y x + 27 27 27 27 + + 245 2 3 2 3 3 70 3 3 49 3 2 3 + - --- z y x - 28/9 y x z + -- y x z - -- x z - 1/18 x + 7/18 x + 54 27 54 + + 2 2 2 2 2 2 2 2 35 2 + - 1/3 x - 7/9 x y z + 2 x y + 35/9 x y z - 5/3 x y + -- x y z + 54 + + 2 2 2 2 14 3 3 35 3 2 3 + - 14/3 x y z + 1/3 x y - 5/18 x y + -- x z + -- y x - 7/3 y x + 27 18 + + 2 3 10 3 2 3 2 2 3 2 3 + - 20/9 x y z - -- x y z + 4/9 x y z + 8/3 x y z - 4/9 x z + 27 + + 2 2 2 3 2 2 + + 7/54 x z + 7/9 x z - 2/27 x z , COEFF(3, 1, 0) = - 7/54 x z + + 2 3 2 2 3 3 3 3 3 + + 5/18 x y + 7/54 x z + 4/9 y x z - 5/18 y x - 2/27 x z + + 2 2 10 2 3 3 2 10 3 3 35 2 3 + - 1/3 x y + -- x y z - 1/18 x + 1/18 x - -- y x z + -- z y x + 27 27 54 + + 2 2 3 2 3 2 2 2 2 3 35 2 2 + - 4/9 x y z + 2/27 x z + 7/9 x y z + 1/3 y x - -- x y z + 54 + + 2 2 3 49 2 2 3 2 3 + - 7/9 z y x , COEFF(-2, 2, 0) = - --- z y x + 7/36 z y x + 144 + + 2 3 3 3 3 3 2 3 2 + + 7/36 y x z - 1/9 y x z + 7/432 x z - 1/144 x - 1/144 x + 1/72 x + + 49 2 2 2 2 2 2 2 2 + - --- x y z - 7/24 x y - 7/18 x y z + 1/6 x y + 7/36 x y z + 144 + + 49 2 2 2 2 3 3 3 + + -- x y z + 7/48 x y - 1/12 x y - 1/108 x z - 1/12 y x + 72 + + 2 3 2 3 3 2 3 2 2 3 + + 7/48 y x + 2/9 x y z - 1/9 x y z + 7/36 x y z - 7/18 x y z + + 2 3 2 2 2 3 + + 1/54 x z + 7/432 x z - 7/216 x z - 1/108 x z , COEFF(-1, 2, 0) = + + 343 2 2 3 49 2 3 49 2 3 3 3 3 49 3 2 + --- z y x - -- z y x - -- y x z + 7/9 y x z - --- x z + 1/18 x + 144 36 36 432 + + 3 2 49 2 2 35 2 2 35 2 2 2 + + 7/144 x - 5/48 x + -- x y z + -- x y + -- x y z - 5/4 x y + 18 16 12 + + 2 245 2 2 2 2 3 3 + - 14/9 x y z - --- x y z - 7/6 x y + 2/3 x y + 7/108 x z + 48 + + 3 49 2 3 2 3 3 2 3 + + 7/12 y x - -- y x - 5/3 x y z + 8/9 x y z - 14/9 x y z + 48 + + 35 2 2 3 2 3 2 35 2 2 3 + + -- x y z - 5/36 x z - 7/54 x z + --- x z + 2/27 x z , + 12 144 + + 2 2 3 2 3 2 3 3 + COEFF(0, 2, 0) = - 49/9 z y x + 28/9 z y x + 28/9 y x z + + 3 3 3 2 2 3 3 + - 16/9 y x z + 7/27 x z - 1/12 - y + 7/36 z - 1/9 z - 1/9 x + + 2 2 49 2 2 2 2 2 343 2 2 2 + + 7/36 x + 7/4 y - -- x y - 49/9 x y z + 7/3 x y + --- x y z + 12 36 + + 3 3 3 2 3 2 3 2 2 3 + - 4/27 x z - 4/3 y x + 7/3 y x + 28/9 x y z - 49/9 x y z + + 2 3 2 3 49 2 2 3 2 49 2 2 + + 7/27 x z + 7/3 y z - --- x z - 4/3 y z + 7/3 y z - -- y z , + 108 12 + + 2 2 3 2 3 2 3 3 + COEFF(1, 2, 0) = 49/9 z y x - 28/9 z y x - 28/9 y x z + + 3 3 3 2 3 2 49 2 2 + + 16/9 y x z - 7/27 x z - 1/18 x + 1/9 x - 5/36 x - -- x y z + 18 + + 35 2 2 2 2 2 2 245 2 2 2 + + -- x y + 35/9 x y z - 5/3 x y + 14/9 x y z - --- x y z + 12 36 + + 2 3 3 3 2 3 2 3 + + 7/6 x y - 2/3 x y + 4/27 x z + 4/3 y x - 7/3 y x - 20/9 x y z + + 3 2 3 2 2 3 2 3 2 + - 8/9 x y z + 14/9 x y z + 35/9 x y z - 5/27 x z + 7/54 x z + + 35 2 2 3 343 2 2 3 49 2 3 + + --- x z - 2/27 x z , COEFF(2, 2, 0) = - --- z y x + -- z y x + 108 144 36 + + 49 2 3 3 3 3 49 3 2 3 2 + + -- y x z - 7/9 y x z + --- x z + 1/144 x - 7/144 x + 1/24 x + 36 432 + + 49 2 2 2 2 2 2 2 2 + + --- x y z - 7/8 x y - 7/6 x y z + 1/2 x y - 7/36 x y z + 144 + + 49 2 2 2 2 3 3 3 49 2 3 + + -- x y z - 7/48 x y + 1/12 x y - 7/108 x z - 7/12 y x + -- y x + 24 48 + + 2 3 3 2 3 2 2 3 2 3 + + 2/3 x y z + 1/9 x y z - 7/36 x y z - 7/6 x y z + 1/18 x z + + 2 2 2 3 3 + - 7/432 x z - 7/72 x z + 1/108 x z , COEFF(3, 2, 0) = 1/144 x + + 3 3 2 2 2 3 3 3 3 3 2 + + 1/108 x z + 7/48 x y - 7/36 y x z + 1/9 y x z - 7/432 x z + + 2 2 3 3 2 2 3 2 2 + + 7/36 x y z + 1/12 y x - 1/12 x y - 7/36 z y x + 7/36 x y z + + 2 3 2 2 2 3 49 2 2 2 2 + - 1/9 x y z + 7/432 x z - 1/108 x z - --- x y z - 1/144 x + 144 + + 49 2 2 3 2 3 2 3 3 + + --- z y x - 7/48 y x , COEFF(-2, 3, 0) = - 1/36 y x z + 144 + + 3 3 2 2 2 2 3 2 + + 1/54 x y z + 1/72 y x - 7/72 x y z - 1/27 x y z - 1/48 x y + + 2 2 2 2 3 3 2 2 + + 1/24 x y + 7/144 x y z + 1/72 x y + 1/54 y x z + 7/108 x y z + + 2 2 3 2 2 2 3 2 2 3 + + 1/18 x y z - 1/36 x y - 7/216 x y z - 1/36 x y z + 7/144 z y x + + 2 3 2 3 2 3 + - 1/48 y x - 7/216 z y x , COEFF(-1, 3, 0) = - 1/9 x y + 2/9 x y z + + 35 2 2 2 2 2 3 2 3 2 + + -- x y z - 5/12 x y z + 7/27 x y z - 4/27 x y z + 1/6 x y + 48 + + 49 2 3 3 2 2 2 35 2 2 + + --- z y x - 7/72 y x - 5/16 x y + 5/24 x y - -- x y z + 216 72 + + 2 3 2 3 3 3 3 2 2 + + 5/18 x y z + 7/36 y x z - 7/54 y x z - 7/18 x y z + + 49 2 2 3 2 3 2 3 3 2 + - --- z y x + 7/48 y x , COEFF(0, 3, 0) = - 4/9 y x z - 1/4 y + 144 + + 3 2 2 14 2 3 14 2 3 3 + + 2/9 y z + 7/12 y z - -- z y x - -- x y z + 2/9 y x + 1/6 y + 27 27 + + 2 3 3 3 2 3 49 2 2 2 2 + - 1/3 y z + 8/27 y x z - 1/3 y x + -- x y z + 7/12 x y + 54 + + 2 2 3 2 2 2 3 2 49 2 2 2 + + 7/9 x y z - 7/18 y z + 7/9 z y x - 7/18 x y - -- x y z , + 36 + + 2 3 2 3 3 2 2 2 + COEFF(1, 3, 0) = - 2/9 x y z + 4/9 y x z + 5/18 x y - 5/12 x y + + 3 3 2 2 3 2 2 3 2 2 + - 8/27 y x z - 7/9 z y x - 5/9 x y z + 1/9 x y + 7/18 x y z + + 2 35 2 2 3 3 10 2 3 + - 7/27 x y z - -- x y z + 4/27 x y z - 2/9 y x + -- x y z + 54 27 + + 2 14 2 3 2 3 35 2 2 2 + - 1/6 x y + -- z y x + 1/3 y x + -- x y z , COEFF(2, 3, 0) = + 27 36 + + 2 49 2 3 2 2 3 2 2 + - 1/12 x y - --- z y x + 7/216 x y z - 7/48 y x - 7/144 x y z + 216 + + 2 3 2 2 3 3 2 2 3 + + 1/36 x y z - 1/72 x y + 1/8 x y + 7/54 y x z + 1/6 x y z + + 49 2 2 3 2 3 3 2 3 2 2 2 2 + + --- z y x - 7/36 y x z - 1/9 x y z - 7/24 x y z + 1/48 x y + 144 + + 2 2 3 3 2 2 + + 7/36 x y z + 7/72 y x - 1/54 x y z , COEFF(3, 3, 0) = - 1/48 x y + + 2 3 3 3 3 2 2 3 2 2 3 + + 1/54 x y z - 1/54 y x z - 1/72 y x - 7/144 z y x - 1/36 x y z + + 2 3 2 3 2 3 3 2 2 2 2 + + 1/48 y x + 7/216 z y x + 1/36 y x z + 1/72 x y + 7/144 x y z + + 2 2 2 2 3 2 3 + - 7/216 x y z , COEFF(-2, -2, 1) = 5/144 z y x - 5/108 z y x + + 2 3 2 3 3 3 3 3 3 + + 1/72 z y x - 1/36 y x z - 1/54 z y x + 1/27 y x z + 1/216 z x + + 3 2 2 2 2 + + 5/432 x z - 1/108 x z + 1/216 x z + 5/144 x y z - 1/54 x y z + + 2 2 2 2 2 2 2 + + 1/27 x y z + 1/72 x y z - 1/36 x y z + 5/54 x y z - 5/108 x y z + + 2 2 2 3 3 2 3 3 2 3 + - 5/72 x y z - 1/108 x z - 2/27 x y z + 1/27 x y z - 1/36 x y z + + 2 2 3 2 3 2 2 2 3 + + 1/18 x y z + 1/54 x z + 5/432 x z - 5/216 x z - 1/108 x z , + + 35 2 2 3 35 2 3 2 3 + COEFF(-1, -2, 1) = - --- z y x + --- z y x - 7/72 z y x + 144 108 + + 2 3 3 3 3 3 3 35 3 2 + + 7/36 y x z + 7/54 z y x - 7/27 y x z - 7/216 z x - --- x z + 432 + + 2 2 2 2 + + 5/72 x z - 1/27 x z - 5/18 x y z + 4/27 x y z - 5/18 x y z + + 2 2 2 25 2 2 10 2 25 2 2 2 + - 1/9 x y z + 5/24 x y z - -- x y z + -- x y z + -- x y z + 36 27 48 + + 3 3 2 3 3 2 3 2 2 3 + + 7/108 x z + 5/9 x y z - 8/27 x y z + 2/9 x y z - 5/12 x y z + + 2 3 2 25 2 2 3 + - 5/36 x z - 5/54 x z + --- x z + 2/27 x z , COEFF(0, -2, 1) = + 144 + + 2 2 3 20 2 3 2 3 2 3 3 3 + 5/9 z y x - -- z y x + 2/9 z y x - 4/9 y x z - 8/27 z y x + 27 + + 16 3 3 3 2 3 2 2 + + -- y x z + 2/27 z x + 1/6 y z + 5/27 x z - 7/54 x z - 2/9 y z + 27 + + 2 3 14 2 2 2 35 2 2 + + 1/18 z + 5/36 z - 1/9 z + -- x y z - 7/18 x y z + -- x y z + 27 27 + + 35 2 2 2 3 3 28 2 3 2 2 3 2 3 + - -- x y z - 4/27 x z - -- x y z + 7/9 x y z + 7/27 x z + 36 27 + + 2 3 35 2 2 3 2 2 2 + - 1/3 y z - --- x z + 4/9 y z - 5/9 y z + 5/12 y z , + 108 + + 2 2 3 20 2 3 2 3 2 3 3 + COEFF(1, -2, 1) = - 5/9 z y x + -- z y x - 2/9 z y x + 4/9 y x z + 27 + + 3 16 3 3 3 3 2 2 + + 8/27 z y x - -- y x z - 2/27 z x - 5/27 x z + 5/54 x z + 1/27 x z + 27 + + 2 2 10 2 2 2 2 + + 5/18 x y z - 4/27 x y z - -- x y z + 1/9 x y z + 5/18 x y z + 27 + + 25 2 2 10 2 25 2 2 2 3 3 20 2 3 + - -- x y z - -- x y z + -- x y z + 4/27 x z + -- x y z + 27 27 36 27 + + 3 2 3 2 2 3 2 3 2 + + 8/27 x y z - 2/9 x y z - 5/9 x y z - 5/27 x z + 5/54 x z + + 25 2 2 3 35 2 2 3 35 2 3 + + --- x z - 2/27 x z , COEFF(2, -2, 1) = --- z y x - --- z y x + 108 144 108 + + 2 3 2 3 3 3 3 3 3 + + 7/72 z y x - 7/36 y x z - 7/54 z y x + 7/27 y x z + 7/216 z x + + 35 3 2 2 2 2 + + --- x z - 1/36 x z - 1/216 x z - 5/144 x y z + 1/54 x y z + 432 + + 2 2 2 2 2 2 2 + + 1/9 x y z - 1/72 x y z - 1/12 x y z + 5/18 x y z + 5/108 x y z + + 2 2 2 3 3 2 3 3 2 3 + - 5/24 x y z - 7/108 x z - 2/9 x y z - 1/27 x y z + 1/36 x y z + + 2 2 3 2 3 2 2 2 3 + + 1/6 x y z + 1/18 x z - 5/432 x z - 5/72 x z + 1/108 x z , + + 2 2 3 3 2 3 + COEFF(3, -2, 1) = - 1/54 x y z - 1/72 z y x + 1/54 z y x + 1/27 x y z + + 2 3 2 2 2 3 3 3 + - 1/108 x z - 5/108 x y z + 1/216 x z - 1/216 z x + 1/108 x z + + 2 3 2 2 3 2 2 2 2 2 + + 5/108 z y x - 1/36 x y z + 5/144 x y z + 1/72 x y z + + 3 2 2 2 3 2 3 3 2 2 + - 5/432 x z - 5/144 z y x + 1/36 y x z + 5/432 x z + + 3 3 35 2 2 3 25 2 3 + - 1/27 y x z , COEFF(-2, -1, 1) = - --- z y x + -- z y x + 144 72 + + 2 3 2 3 3 3 3 3 3 + - 7/72 z y x + 7/36 y x z + 5/36 z y x - 5/18 y x z - 1/27 z x + + 3 2 2 35 2 2 + - 5/54 x z + 2/27 x z - 1/27 x z - --- x y z + 5/36 x y z + 144 + + 2 2 2 2 25 2 2 25 2 + - 5/18 x y z - 7/72 x y z + 7/36 x y z - -- x y z + -- x y z + 36 72 + + 35 2 2 2 3 3 2 3 3 2 3 + + -- x y z + 2/27 x z + 5/9 x y z - 5/18 x y z + 7/36 x y z + 72 + + 2 2 3 2 3 2 2 2 3 + - 7/18 x y z - 4/27 x z - 5/54 x z + 5/27 x z + 2/27 x z , + + 245 2 2 3 175 2 3 49 2 3 49 2 3 3 + COEFF(-1, -1, 1) = --- z y x - --- z y x + -- z y x - -- y x z + 144 72 72 36 + + 35 3 35 3 3 3 35 3 2 2 + - -- z y x + -- y x z + 7/27 z x + -- x z - 5/9 x z + 8/27 x z + 36 18 54 + + 35 2 2 25 2 2 35 2 2 + + -- x y z - 10/9 x y z + -- x y z + 7/9 x y z - -- x y z + 18 12 24 + + 125 2 2 2 175 2 2 2 14 3 3 2 3 + + --- x y z - 25/9 x y z - --- x y z - -- x z - 25/6 x y z + 24 48 27 + + 3 2 3 35 2 2 3 2 3 20 2 + + 20/9 x y z - 14/9 x y z + -- x y z + 10/9 x z + -- x z + 12 27 + + 25 2 2 16 3 2 2 3 2 3 + - -- x z - -- x z , COEFF(0, -1, 1) = - 35/9 z y x + 50/9 z y x + 18 27 + + 2 3 2 3 3 3 3 3 16 3 + - 14/9 z y x + 28/9 y x z + 20/9 z y x - 40/9 y x z - -- z x + 27 + + 2 40 3 2 28 2 2 3 + - 7/6 y z - -- x z + -- x z + 5/3 y z - 4/9 z - 10/9 z + 8/9 z + 27 27 + + 2 49 2 2 175 2 2 245 2 2 2 32 3 3 + - 35/9 x y z + -- x y z - --- x y z + --- x y z + -- x z + 18 18 36 27 + + 2 3 2 2 3 56 2 3 2 3 70 2 2 + + 70/9 x y z - 49/9 x y z - -- x z + 7/3 y z + -- x z + 27 27 + + 3 2 35 2 2 2 2 3 + - 10/3 y z + 25/6 y z - -- y z , COEFF(1, -1, 1) = 35/9 z y x + 12 + + 2 3 2 3 2 3 3 3 3 3 + - 50/9 z y x + 14/9 z y x - 28/9 y x z - 20/9 z y x + 40/9 y x z + + 16 3 40 3 2 20 2 35 2 2 + + -- z x + -- x z - -- x z - 8/27 x z - -- x y z + 10/9 x y z + 27 27 27 18 + + 2 2 35 2 2 125 2 2 2 + + 25/9 x y z - 7/9 x y z - -- x y z + --- x y z + 25/9 x y z + 18 18 + + 175 2 2 2 32 3 3 2 3 3 2 3 + - --- x y z - -- x z - 50/9 x y z - 20/9 x y z + 14/9 x y z + 36 27 + + 2 2 3 40 2 3 20 2 50 2 2 16 3 + + 35/9 x y z + -- x z - -- x z - -- x z + -- x z , COEFF(2, -1, 1) + 27 27 27 27 + + 245 2 2 3 175 2 3 49 2 3 49 2 3 3 35 3 + = - --- z y x + --- z y x - -- z y x + -- y x z + -- z y x + 144 72 72 36 36 + + 35 3 3 3 35 3 2 2 35 2 2 + - -- y x z - 7/27 z x - -- x z + 2/9 x z + 1/27 x z + --- x y z + 18 54 144 + + 2 2 2 2 25 2 2 + - 5/36 x y z - 5/6 x y z + 7/72 x y z + 7/12 x y z - -- x y z + 12 + + 25 2 35 2 2 2 14 3 3 2 3 3 + - -- x y z + -- x y z + -- x z + 5/3 x y z + 5/18 x y z + 72 24 27 + + 2 3 2 2 3 2 3 2 2 2 + - 7/36 x y z - 7/6 x y z - 4/9 x z + 5/54 x z + 5/9 x z + + 3 2 2 3 2 2 + - 2/27 x z , COEFF(3, -1, 1) = - 7/72 x y z + 5/54 x z + 5/36 x y z + + 3 3 25 2 3 35 2 2 3 35 2 2 2 3 + + 5/18 y x z - -- z y x + --- z y x - --- x y z + 1/27 z x + 72 144 144 + + 2 2 3 3 2 2 3 2 3 2 3 + - 1/27 x z - 7/36 y x z + 7/36 x y z + 7/72 z y x + 2/27 x z + + 2 2 3 2 3 25 2 2 3 3 + - 5/54 x z - 5/36 z y x - 5/18 x y z + -- x y z - 2/27 x z , + 72 + + 35 2 3 35 2 14 3 2 3 + COEFF(-2, 0, 1) = - -- z y x - -- x y z + -- x y z - 4/9 x y z + 54 54 27 + + 28 2 3 2 2 2 2 3 2 + - -- x y z - 10/9 x y z + 2/9 z y x + 2/9 x y z - 7/27 x y z + 27 + + 2 2 2 2 3 14 3 3 14 2 2 2 + + 5/9 x y z + 8/9 x y z + -- y x z + -- x y z - 4/9 x y z + 27 27 + + 35 2 2 2 2 3 2 3 3 3 + + -- x y z + 5/9 z y x - 4/9 y x z - 7/27 z y x , COEFF(-1, 0, 1) + 27 + + 2 2 3 245 2 3 2 2 + = - 35/9 x y z + 70/9 x y z + --- z y x - 40/9 x y z + 54 + + 2 2 2 49 3 2 2 2 3 56 + + 25/3 x y z + -- z y x - 16/9 x y z - 35/9 z y x + -- x y z + 27 27 + + 112 3 2 3 140 2 175 2 2 2 3 3 + - --- x y z + 32/9 x y z + --- x y z - --- x y z + 28/9 y x z + 27 27 18 + + 2 3 2 2 3 98 3 3 2 2 + - 14/9 z y x - 20/3 x y z - -- y x z + 10/3 x y z, COEFF(0, 0, 1) + 27 + + 112 3 3 2 3 3 2 + = - --- z y x + 56/9 y z - 28/9 y z - 64/9 y x z + 8/3 y z + 27 + + 196 2 2 2 2 2 2 2 2 2 + + --- x y z - 56/9 x y z + 20/3 y z - 70/9 y z - 140/9 x y z + 27 + + 2 2 3 224 3 3 2 3 2 2 3 280 2 3 + + 80/9 z y x + --- y x z - 16/3 y z + 112/9 x y z - --- z y x + 27 27 + + 392 2 3 490 2 2 2 3 2 2 + - --- x y z + --- x y z + 32/9 z y x , COEFF(1, 0, 1) = 40/9 x y z + 27 27 + + 56 224 3 3 280 2 3 2 3 2 2 + - -- x y z - --- y x z + --- z y x - 32/9 z y x + 40/9 x y z + 27 27 27 + + 2 2 3 112 3 2 3 2 2 2 + - 80/9 z y x + --- x y z - 32/9 x y z + 100/9 x y z + 27 + + 2 3 3 350 2 2 140 2 112 3 2 2 3 + + 64/9 y x z - --- x y z - --- x y z + --- z y x - 80/9 x y z + 27 27 27 + + 140 2 280 2 3 2 2 2 3 + - --- x y z + --- x y z + 16/9 x y z, COEFF(2, 0, 1) = 8/3 x y z + 27 27 + + 245 2 3 2 3 2 14 3 2 2 + - --- z y x + 14/9 z y x + 14/9 x y z - -- x y z + 35/9 x y z + 54 27 + + 49 3 35 2 2 3 2 + - -- z y x + -- x y z + 4/9 x y z - 2/9 x y z + 7/27 x y z + 27 54 + + 98 3 3 2 3 3 2 2 2 2 2 2 3 + + -- y x z - 28/9 y x z - 5/9 x y z - 4/3 x y z + 35/9 z y x + 27 + + 2 3 2 2 2 2 3 3 + - 28/9 x y z - 10/3 x y z , COEFF(3, 0, 1) = 4/9 y x z + + 2 2 3 2 2 2 14 2 3 35 2 3 2 3 + - 4/9 x y z + 5/9 x y z + -- x y z + -- z y x - 2/9 z y x + 27 54 + + 2 2 3 14 3 3 3 2 2 2 + - 5/9 z y x - -- y x z + 7/27 z y x + 2/9 x y z - 7/27 x y z + 27 + + 35 2 2 2 2 3 25 2 3 2 3 + - -- x y z , COEFF(-2, 1, 1) = - 5/9 z y x + -- z y x - 2/9 z y x + 54 54 + + 2 3 3 3 10 3 3 3 3 2 + + 4/9 y x z + 5/27 z y x - -- y x z + 1/27 z x + 5/54 x z + 27 + + 2 2 2 10 2 2 + - 2/27 x z + 1/27 x z - 5/9 x y z + 5/27 x y z - -- x y z - 2/9 x y z + 27 + + 2 2 25 2 2 25 2 2 2 2 3 3 + + 4/9 x y z - -- x y z + -- x y z + 10/9 x y z - 2/27 x z + 27 54 + + 20 2 3 10 3 2 3 2 2 3 2 3 + + -- x y z - -- x y z + 4/9 x y z - 8/9 x y z + 4/27 x z + 27 27 + + 2 2 2 3 2 2 3 + + 5/54 x z - 5/27 x z - 2/27 x z , COEFF(-1, 1, 1) = 35/9 z y x + + 175 2 3 2 3 2 3 3 35 3 70 3 3 + - --- z y x + 14/9 z y x - 28/9 y x z - -- z y x + -- y x z + 54 27 27 + + 3 35 3 2 2 2 2 40 + - 7/27 z x - -- x z + 5/9 x z - 8/27 x z + 40/9 x y z - -- x y z + 54 27 + + 2 2 2 2 125 2 2 100 2 + + 25/9 x y z + 16/9 x y z - 10/3 x y z + --- x y z - --- x y z + 18 27 + + 2 2 2 14 3 3 2 3 80 3 2 3 + - 25/3 x y z + -- x z - 50/9 x y z + -- x y z - 32/9 x y z + 27 27 + + 2 2 3 2 3 20 2 25 2 2 16 3 + + 20/3 x y z - 10/9 x z - -- x z + -- x z + -- x z , + 27 18 27 + + 2 2 3 200 2 3 2 3 + COEFF(0, 1, 1) = - 80/9 z y x + --- z y x - 32/9 z y x + 27 + + 2 3 3 80 3 160 3 3 16 3 2 40 3 2 + + 64/9 y x z + -- z y x - --- y x z + -- z x - 8/3 y z + -- x z + 27 27 27 27 + + 28 2 2 3 140 2 + - -- x z + 20/9 y z + 4/9 z + 10/9 z - 8/9 z - --- x y z + 27 27 + + 2 2 350 2 2 2 2 2 32 3 3 280 2 3 + + 56/9 x y z - --- x y z + 140/9 x y z - -- x z + --- x y z + 27 27 27 + + 2 2 3 56 2 3 2 3 70 2 2 3 + - 112/9 x y z + -- x z + 16/3 y z - -- x z - 40/9 y z + 27 27 + + 2 2 2 2 2 3 200 2 3 + + 50/9 y z - 20/3 y z , COEFF(1, 1, 1) = 80/9 z y x - --- z y x + 27 + + 2 3 2 3 3 80 3 160 3 3 16 3 + + 32/9 z y x - 64/9 y x z - -- z y x + --- y x z - -- z x + 27 27 27 + + 40 3 2 20 2 2 2 40 100 2 + - -- x z + -- x z + 8/27 x z - 40/9 x y z + -- x y z + --- x y z + 27 27 27 27 + + 2 2 2 250 2 2 100 2 2 2 2 + - 16/9 x y z - 40/9 x y z + --- x y z + --- x y z - 100/9 x y z + 27 27 + + 32 3 3 200 2 3 80 3 2 3 2 2 3 + + -- x z - --- x y z - -- x y z + 32/9 x y z + 80/9 x y z + 27 27 27 + + 40 2 3 20 2 50 2 2 16 3 + - -- x z + -- x z + -- x z - -- x z , COEFF(2, 1, 1) = + 27 27 27 27 + + 2 2 3 175 2 3 2 3 2 3 3 35 3 + - 35/9 z y x + --- z y x - 14/9 z y x + 28/9 y x z + -- z y x + 54 27 + + 70 3 3 3 35 3 2 2 2 2 + - -- y x z + 7/27 z x + -- x z - 2/9 x z - 1/27 x z + 5/9 x y z + 27 54 + + 2 2 2 2 2 2 + - 5/27 x y z - 10/9 x y z + 2/9 x y z + 4/3 x y z - 25/9 x y z + + 25 2 2 2 2 14 3 3 2 3 10 3 + - -- x y z + 10/3 x y z - -- x z + 20/9 x y z + -- x y z + 54 27 27 + + 2 3 2 2 3 2 3 2 2 2 + - 4/9 x y z - 8/3 x y z + 4/9 x z - 5/54 x z - 5/9 x z + + 3 2 3 3 2 10 3 3 + + 2/27 x z , COEFF(3, 1, 1) = - 4/9 y x z + 1/27 x z + -- y x z + 27 + + 25 2 2 3 25 2 3 2 3 2 3 + + -- x y z - 1/27 z x - -- z y x + 2/9 z y x - 2/27 x z + 54 54 + + 2 2 2 3 2 2 3 2 2 2 + - 5/9 x y z - 5/27 z y x + 4/9 x y z + 5/54 x z + 5/27 x y z + + 3 2 2 2 3 10 2 3 2 2 3 3 + - 5/54 x z + 5/9 z y x - -- x y z - 2/9 x y z + 2/27 x z , + 27 + + 35 2 2 3 2 3 2 3 + COEFF(-2, 2, 1) = --- z y x - 5/36 z y x + 7/72 z y x + 144 + + 2 3 3 3 3 3 3 3 2 + - 7/36 y x z - 1/18 z y x + 1/9 y x z - 1/216 z x - 5/432 x z + + 2 35 2 2 2 + + 1/108 x z - 1/216 x z + --- x y z - 1/18 x y z + 1/9 x y z + 144 + + 2 2 2 2 2 2 35 2 2 2 + + 7/72 x y z - 7/36 x y z + 5/18 x y z - 5/36 x y z - -- x y z + 72 + + 3 3 2 3 3 2 3 2 2 3 + + 1/108 x z - 2/9 x y z + 1/9 x y z - 7/36 x y z + 7/18 x y z + + 2 3 2 2 2 3 + - 1/54 x z - 5/432 x z + 5/216 x z + 1/108 x z , COEFF(-1, 2, 1) = + + 245 2 2 3 35 2 3 49 2 3 49 2 3 3 3 + - --- z y x + -- z y x - -- z y x + -- y x z + 7/18 z y x + 144 36 72 36 + + 3 3 3 35 3 2 2 35 2 2 + - 7/9 y x z + 7/216 z x + --- x z - 5/72 x z + 1/27 x z - -- x y z + 432 18 + + 2 2 35 2 2 25 2 2 + + 4/9 x y z - 5/6 x y z - 7/9 x y z + -- x y z - -- x y z + 24 12 + + 2 175 2 2 2 3 3 2 3 3 + + 10/9 x y z + --- x y z - 7/108 x z + 5/3 x y z - 8/9 x y z + 48 + + 2 3 35 2 2 3 2 3 2 25 2 2 + + 14/9 x y z - -- x y z + 5/36 x z + 5/54 x z - --- x z + 12 144 + + 3 2 2 3 2 3 2 3 + - 2/27 x z , COEFF(0, 2, 1) = 35/9 z y x - 20/9 z y x + 14/9 z y x + + 2 3 3 3 3 3 3 2 + - 28/9 y x z - 8/9 z y x + 16/9 y x z - 2/27 z x + 7/6 y z + + 3 2 2 2 3 + - 5/27 x z + 7/54 x z - 2/3 y z - 1/18 z - 5/36 z + 1/9 z + + 2 49 2 2 2 2 245 2 2 2 3 3 + + 14/9 x y z - -- x y z + 35/9 x y z - --- x y z + 4/27 x z + 18 36 + + 2 3 2 2 3 2 3 2 3 35 2 2 + - 28/9 x y z + 49/9 x y z - 7/27 x z - 7/3 y z + --- x z + 108 + + 3 2 35 2 2 2 2 3 + + 4/3 y z - 5/3 y z + -- y z , COEFF(1, 2, 1) = - 35/9 z y x + 12 + + 2 3 2 3 2 3 3 3 3 3 + + 20/9 z y x - 14/9 z y x + 28/9 y x z + 8/9 z y x - 16/9 y x z + + 3 3 2 2 35 2 2 + + 2/27 z x + 5/27 x z - 5/54 x z - 1/27 x z + -- x y z - 4/9 x y z + 18 + + 2 2 35 2 2 2 2 2 + - 10/9 x y z + 7/9 x y z + -- x y z - 25/9 x y z - 10/9 x y z + 18 + + 175 2 2 2 3 3 2 3 3 2 3 + + --- x y z - 4/27 x z + 20/9 x y z + 8/9 x y z - 14/9 x y z + 36 + + 2 2 3 2 3 2 25 2 2 3 + - 35/9 x y z + 5/27 x z - 5/54 x z - --- x z + 2/27 x z , + 108 + + 245 2 2 3 35 2 3 49 2 3 49 2 3 3 + COEFF(2, 2, 1) = --- z y x - -- z y x + -- z y x - -- y x z + 144 36 72 36 + + 3 3 3 3 35 3 2 2 + - 7/18 z y x + 7/9 y x z - 7/216 z x - --- x z + 1/36 x z + 432 + + 35 2 2 2 2 + + 1/216 x z - --- x y z + 1/18 x y z + 1/3 x y z - 7/72 x y z + 144 + + 2 2 2 2 2 35 2 2 2 3 3 + - 7/12 x y z + 5/6 x y z + 5/36 x y z - -- x y z + 7/108 x z + 24 + + 2 3 3 2 3 2 2 3 2 3 + - 2/3 x y z - 1/9 x y z + 7/36 x y z + 7/6 x y z - 1/18 x z + + 2 2 2 3 3 3 + + 5/432 x z + 5/72 x z - 1/108 x z , COEFF(3, 2, 1) = - 1/108 x z + + 35 2 2 3 3 2 2 3 3 2 3 + - --- z y x + 1/216 z x - 5/432 x z - 1/9 y x z + 1/9 x y z + 144 + + 2 2 3 2 3 2 2 3 3 3 + - 7/36 x y z - 7/72 z y x - 1/216 x z + 7/36 y x z + 1/18 z y x + + 2 3 2 2 3 35 2 2 2 2 2 + - 1/18 x y z + 5/432 x z + 5/36 z y x + --- x y z - 5/36 x y z + 144 + + 2 3 2 2 2 3 + + 1/108 x z + 7/72 x y z, COEFF(-2, 3, 1) = 1/27 x y z + 1/108 x y z + + 2 2 2 2 3 2 2 3 + - 5/108 x y z - 1/54 x y z + 1/36 x y z - 1/18 x y z + + 3 3 2 3 2 2 3 2 2 + - 1/54 y x z - 1/72 z y x - 5/144 x y z - 1/54 x y z + 1/36 x y z + + 2 2 3 2 3 2 3 3 2 2 2 + - 5/144 z y x + 5/216 z y x + 1/36 y x z + 5/72 x y z + + 2 3 2 + + 5/216 x y z + 1/108 z y x - 1/72 x y z, COEFF(-1, 3, 1) = + + 2 3 35 2 2 3 2 2 2 3 35 2 3 + - 5/18 x y z + --- z y x + 1/9 x y z + 5/12 x y z - --- z y x + 144 216 + + 2 2 2 3 2 2 2 + - 2/27 x y z + 5/18 x y z - 2/9 x y z - 5/24 x y z + 5/36 x y z + + 25 2 2 25 2 2 2 3 3 2 3 3 3 + + -- x y z - -- x y z + 7/54 y x z - 7/36 y x z + 4/27 x y z + 72 48 + + 2 3 2 3 + - 5/27 x y z - 7/108 z y x + 7/72 z y x , COEFF(0, 3, 1) = + + 3 3 3 2 2 2 2 + - 8/27 y x z + 4/27 z y x - 7/27 x y z + 7/18 x y z + 5/18 y z + + 2 2 3 2 2 2 3 3 35 2 2 2 + - 5/9 z y x - 5/12 y z + 4/9 y x z + -- x y z + 1/9 y z + 36 + + 2 3 35 2 2 2 3 2 2 3 14 2 3 + + 1/3 y z - -- x y z - 2/9 z y x - 7/9 x y z + -- x y z + 54 27 + + 3 10 2 3 2 25 2 2 2 + - 2/9 y z + -- z y x - 1/6 y z, COEFF(1, 3, 1) = - -- x y z + 27 36 + + 2 3 2 2 2 2 3 10 2 3 + + 5/27 x y z - 4/27 z y x - 5/18 x y z + 5/9 z y x - -- z y x + 27 + + 3 2 2 3 2 3 3 + - 4/27 x y z + 5/27 x y z + 2/9 x y z - 4/9 y x z + 2/27 x y z + + 2 3 25 2 2 2 2 2 3 3 + + 2/9 z y x + -- x y z - 1/9 x y z - 5/18 x y z + 8/27 y x z + 54 + + 10 2 3 2 2 3 2 2 + - -- x y z + 5/9 x y z , COEFF(2, 3, 1) = - 5/36 x y z + 27 + + 2 35 2 2 3 2 2 2 + - 5/216 x y z - 1/108 x y z - --- z y x + 5/24 x y z + 144 + + 2 2 2 3 2 3 3 2 2 3 + + 5/144 x y z - 1/36 x y z + 7/36 y x z - 1/6 x y z + + 3 3 2 2 3 3 2 2 + - 7/54 y x z - 1/18 x y z - 7/72 z y x + 1/54 x y z + 1/12 x y z + + 2 3 35 2 3 3 2 + + 1/9 x y z + --- z y x + 7/108 z y x + 1/72 x y z, COEFF(3, 3, 1) + 216 + + 2 3 3 3 2 3 + = 1/108 x y z - 1/108 z y x + 1/54 y x z - 1/54 x y z + + 2 2 2 2 3 2 3 3 2 2 3 + + 5/216 x y z + 5/144 z y x - 1/36 y x z + 1/36 x y z + + 2 2 2 2 2 2 3 2 3 + - 5/144 x y z - 1/72 x y z + 1/72 z y x - 5/216 z y x , + + 2 2 3 2 3 2 3 + COEFF(-2, -2, 2) = - 1/96 z y x + 1/72 z y x - 1/576 z y x + + 2 3 3 3 3 3 3 + + 7/576 y x z + 1/432 z y x - 7/432 y x z - 1/1728 z x + + 3 2 2 2 2 + - 1/288 x z + 1/864 x z - 1/1728 x z - 1/96 x y z + 1/432 x y z + + 2 2 2 2 2 2 2 + - 1/216 x y z - 1/576 x y z + 1/288 x y z - 1/36 x y z + 1/72 x y z + + 2 2 2 3 3 2 3 3 + + 1/48 x y z + 7/1728 x z + 7/216 x y z - 7/432 x y z + + 2 3 2 2 3 2 3 2 2 2 + + 7/576 x y z - 7/288 x y z - 7/864 x z - 1/288 x z + 1/144 x z + + 3 2 2 3 2 3 + + 7/1728 x z , COEFF(-1, -2, 2) = 7/96 z y x - 7/72 z y x + + 2 3 49 2 3 3 3 49 3 3 3 + + 7/576 z y x - --- y x z - 7/432 z y x + --- y x z + 7/1728 z x + 576 432 + + 3 2 2 2 2 + + 7/288 x z - 5/576 x z + 1/216 x z + 1/12 x y z - 1/54 x y z + + 2 2 2 2 2 2 2 + + 5/144 x y z + 1/72 x y z - 5/192 x y z + 5/24 x y z - 1/9 x y z + + 2 2 2 49 3 3 35 2 3 3 2 3 + - 5/32 x y z - ---- x z - --- x y z + 7/54 x y z - 7/72 x y z + 1728 144 + + 35 2 2 3 35 2 3 2 2 2 3 + + --- x y z + --- x z + 1/36 x z - 5/96 x z - 7/216 x z , + 192 576 + + 2 2 3 2 3 2 3 + COEFF(0, -2, 2) = - 1/6 z y x + 2/9 z y x - 1/36 z y x + + 2 3 3 3 3 3 3 2 + + 7/36 y x z + 1/27 z y x - 7/27 y x z - 1/108 z x - 1/48 y z + + 3 2 2 2 3 + - 1/18 x z + 7/432 x z + 1/36 y z - 1/144 z - 1/24 z + 7/144 z + + 2 2 2 2 2 2 2 2 + - 7/108 x y z + 7/144 x y z - 7/18 x y z + 7/24 x y z + + 3 3 49 2 3 49 2 2 3 49 2 3 2 3 + + 7/108 x z + --- x y z - --- x y z - --- x z + 7/48 y z + 108 144 432 + + 2 2 3 2 2 2 + + 7/72 x z - 7/36 y z + 1/6 y z - 1/8 y z , COEFF(1, -2, 2) = + + 2 2 3 2 3 2 3 2 3 3 3 + 1/6 z y x - 2/9 z y x + 1/36 z y x - 7/36 y x z - 1/27 z y x + + 3 3 3 3 2 2 + + 7/27 y x z + 1/108 z x + 1/18 x z - 5/432 x z - 1/216 x z + + 2 2 2 2 2 2 + - 1/12 x y z + 1/54 x y z + 5/108 x y z - 1/72 x y z - 5/144 x y z + + 2 2 2 2 2 2 3 3 35 2 3 + + 5/18 x y z + 1/9 x y z - 5/24 x y z - 7/108 x z - --- x y z + 108 + + 3 2 3 35 2 2 3 35 2 3 2 + - 7/54 x y z + 7/72 x y z + --- x y z + --- x z - 1/36 x z + 144 432 + + 2 2 3 2 2 3 + - 5/72 x z + 7/216 x z , COEFF(2, -2, 2) = - 7/96 z y x + + 2 3 2 3 49 2 3 3 3 49 3 3 + + 7/72 z y x - 7/576 z y x + --- y x z + 7/432 z y x - --- y x z + 576 432 + + 3 3 2 2 2 2 + - 7/1728 z x - 7/288 x z + 1/288 x z + 1/1728 x z + 1/96 x y z + + 2 2 2 2 2 2 + - 1/432 x y z - 1/72 x y z + 1/576 x y z + 1/96 x y z - 1/12 x y z + + 2 2 2 2 49 3 3 2 3 3 + - 1/72 x y z + 1/16 x y z + ---- x z + 7/72 x y z + 7/432 x y z + 1728 + + 2 3 2 2 3 2 3 2 2 2 + - 7/576 x y z - 7/96 x y z - 7/288 x z + 1/288 x z + 1/48 x z + + 3 2 2 3 2 2 + - 7/1728 x z , COEFF(3, -2, 2) = 7/576 x y z + 1/72 x y z + + 2 2 3 2 2 3 3 3 2 + - 1/576 x y z + 1/288 x z - 1/72 z y x + 7/432 y x z - 1/1728 x z + + 2 2 2 3 2 2 3 2 2 + - 1/96 x y z - 1/432 z y x + 1/96 z y x - 1/288 x z + + 2 3 2 3 3 2 3 3 + + 1/576 z y x - 7/576 y x z + 1/432 x y z - 7/1728 x z + + 2 3 3 2 3 + + 7/1728 x z + 1/1728 z x - 7/432 x y z , COEFF(-2, -1, 2) = + + 2 2 3 2 3 2 3 49 2 3 3 3 + 7/96 z y x - 5/48 z y x + 7/576 z y x - --- y x z - 5/288 z y x + 576 + + 35 3 3 3 3 2 2 + + --- y x z + 1/216 z x + 1/36 x z - 1/108 x z + 1/216 x z + 288 + + 2 2 2 2 2 2 + + 7/96 x y z - 5/288 x y z + 5/144 x y z + 7/576 x y z - 7/288 x y z + + 2 2 2 2 2 2 3 3 35 2 3 + + 5/24 x y z - 5/48 x y z - 7/48 x y z - 7/216 x z - --- x y z + 144 + + 35 3 49 2 3 49 2 2 3 2 3 2 + + --- x y z - --- x y z + --- x y z + 7/108 x z + 1/36 x z + 288 576 288 + + 2 2 3 49 2 2 3 35 2 3 + - 1/18 x z - 7/216 x z , COEFF(-1, -1, 2) = - -- z y x + -- z y x + 96 48 + + 49 2 3 343 2 3 3 35 3 245 3 3 3 + - --- z y x + --- y x z + --- z y x - --- y x z - 7/216 z x + 576 576 288 288 + + 3 2 2 2 2 + - 7/36 x z + 5/72 x z - 1/27 x z - 7/12 x y z + 5/36 x y z + + 25 2 2 35 2 2 25 2 2 2 + - -- x y z - 7/72 x y z + --- x y z - -- x y z + 5/6 x y z + 96 192 16 + + 35 2 2 2 49 3 3 175 2 3 35 3 49 2 3 + + -- x y z + --- x z + --- x y z - -- x y z + -- x y z + 32 216 96 36 72 + + 245 2 2 3 35 2 3 2 2 2 3 + - --- x y z - -- x z - 2/9 x z + 5/12 x z + 7/27 x z , + 192 72 + + 2 2 3 2 3 2 3 49 2 3 3 + COEFF(0, -1, 2) = 7/6 z y x - 5/3 z y x + 7/36 z y x - -- y x z + 36 + + 3 35 3 3 3 2 3 2 2 + - 5/18 z y x + -- y x z + 2/27 z x + 7/48 y z + 4/9 x z - 7/54 x z + 18 + + 2 3 35 2 49 2 2 + - 5/24 y z + 1/18 z + 1/3 z - 7/18 z + -- x y z - --- x y z + 72 144 + + 35 2 2 49 2 2 2 14 3 3 245 2 3 343 2 2 3 + + -- x y z - -- x y z - -- x z - --- x y z + --- x y z + 12 24 27 72 144 + + 49 2 3 49 2 3 2 2 35 3 2 2 2 + + -- x z - -- y z - 7/9 x z + -- y z - 5/4 y z + 7/8 y z , + 54 48 24 + + 2 2 3 2 3 2 3 49 2 3 3 + COEFF(1, -1, 2) = - 7/6 z y x + 5/3 z y x - 7/36 z y x + -- y x z + 36 + + 3 35 3 3 3 3 2 2 + + 5/18 z y x - -- y x z - 2/27 z x - 4/9 x z + 5/54 x z + 1/27 x z + 18 + + 2 2 25 2 2 35 2 2 + + 7/12 x y z - 5/36 x y z - -- x y z + 7/72 x y z + --- x y z + 72 144 + + 25 2 2 2 35 2 2 2 14 3 3 175 2 3 + - -- x y z - 5/6 x y z + -- x y z + -- x z + --- x y z + 12 24 27 72 + + 35 3 49 2 3 245 2 2 3 35 2 3 2 2 2 + + -- x y z - -- x y z - --- x y z - -- x z + 2/9 x z + 5/9 x z + 36 72 144 54 + + 3 49 2 2 3 35 2 3 49 2 3 + - 7/27 x z , COEFF(2, -1, 2) = -- z y x - -- z y x + --- z y x + 96 48 576 + + 343 2 3 3 35 3 245 3 3 3 3 2 + - --- y x z - --- z y x + --- y x z + 7/216 z x + 7/36 x z + 576 288 288 + + 2 2 2 2 + - 1/36 x z - 1/216 x z - 7/96 x y z + 5/288 x y z + 5/48 x y z + + 2 2 2 2 2 2 2 2 2 + - 7/576 x y z - 7/96 x y z + 5/8 x y z + 5/48 x y z - 7/16 x y z + + 49 3 3 35 2 3 35 3 49 2 3 49 2 2 3 + - --- x z - -- x y z - --- x y z + --- x y z + -- x y z + 216 48 288 576 96 + + 2 3 2 2 2 3 + + 7/36 x z - 1/36 x z - 1/6 x z + 7/216 x z , COEFF(3, -1, 2) = + + 3 49 2 3 3 2 2 2 3 2 2 2 + - 1/216 z x + --- y x z + 7/96 x y z - 1/36 x z + 1/36 x z + 576 + + 2 2 3 2 3 2 2 35 3 3 + - 7/96 z y x - 7/576 z y x - 5/48 x y z - --- y x z + 288 + + 3 49 2 2 3 2 2 2 3 35 2 3 + + 5/288 z y x - --- x y z + 7/576 x y z + 5/48 z y x + --- x y z + 576 288 + + 2 2 3 2 3 3 + + 1/216 x z - 7/216 x z - 5/288 x y z + 7/216 x z , COEFF(-2, 0, 2) + + 2 3 2 2 49 3 2 2 3 + = 7/36 z y x - 7/108 x y z + 7/36 x y z - --- x y z - 1/6 z y x + 216 + + 49 2 3 49 3 3 2 2 2 2 2 2 + + --- x y z - --- y x z + 1/3 x y z - 1/36 x y z - 1/6 x y z + 108 216 + + 2 2 2 3 2 2 2 3 3 + + 7/216 x y z - 7/18 x y z - 1/36 z y x + 1/18 x y z + 7/36 y x z + + 2 2 3 2 3 3 + - 7/18 x y z + 7/36 x y z + 7/216 z y x , COEFF(-1, 0, 2) = + + 2 2 3 2 3 2 2 + - 14/9 x y z + 7/36 z y x - 14/9 x y z - 7/27 x y z - 5/12 x y z + + 49 2 3 3 2 2 2 49 3 35 2 2 2 + - -- y x z - 5/2 x y z + -- x y z + -- x y z + 4/3 x y z + 36 27 72 + + 49 3 2 35 2 2 3 245 2 3 49 2 3 + - --- z y x + 2/9 x y z + -- x y z - --- x y z - -- z y x + 216 12 72 36 + + 2 2 3 35 2 2 343 3 3 2 3 + + 7/6 z y x + -- x y z + --- y x z , COEFF(0, 0, 2) = 28/9 z y x + 12 216 + + 2 3 3 2 3 2 3 2 2 2 + + 7/18 y z + 28/9 y x z - 4/9 z y x + 7/3 y z + 14/3 x y z + + 14 3 49 2 2 343 2 3 2 2 3 2 2 + + -- z y x - -- x y z + 7/3 y z + --- x y z - 8/3 z y x - 2 y z + 27 54 54 + + 2 2 2 3 2 2 2 2 49 3 + - 1/3 y z - 49/9 x y z - 49/9 x y z + 7/9 x y z - -- y z + 18 + + 98 3 3 2 2 3 49 3 2 3 + - -- y x z , COEFF(1, 0, 2) = 35/9 x y z - -- x y z + 14/9 x y z + 27 27 + + 2 2 2 2 2 3 2 3 14 3 + + 7/27 x y z - 10/3 x y z + 8/3 z y x + 4/9 z y x - -- z y x + 27 + + 2 35 2 245 2 3 2 3 3 2 2 + + 14/9 x y z + -- x y z - --- x y z - 28/9 y x z - 4/3 x y z + 54 54 + + 2 2 2 2 3 2 2 98 3 3 + - 2/9 x y z - 5/9 x y z - 28/9 z y x + 35/9 x y z + -- y x z , + 27 + + 2 2 3 2 3 2 2 3 2 + COEFF(2, 0, 2) = - 7/6 x y z - 7/36 z y x - 7/6 z y x - 7/36 x y z + + 49 2 3 3 2 3 49 2 3 49 3 2 2 + + -- y x z - 7/36 x y z + -- z y x + --- x y z + 1/6 x y z + 36 36 216 + + 2 2 2 2 2 2 343 3 3 + - 7/36 x y z - 7/216 x y z - 7/6 x y z + x y z - --- y x z + 216 + + 2 2 49 3 49 2 3 2 + + 1/6 x y z + --- z y x + -- x y z + 1/36 x y z, COEFF(3, 0, 2) = + 216 36 + + 2 49 3 3 2 3 3 3 2 3 + 7/216 x y z + --- y x z - 7/36 y x z - 7/216 z y x - 7/36 z y x + 216 + + 2 2 3 2 2 2 2 2 3 2 3 + + 7/36 x y z - 1/6 x y z + 1/6 z y x + 1/36 z y x + + 2 2 2 2 49 2 3 + + 7/36 x y z - 1/36 x y z - --- x y z , COEFF(-2, 1, 2) = + 216 + + 2 2 3 2 3 2 3 2 3 3 3 + 1/6 z y x - 5/36 z y x + 1/36 z y x - 7/36 y x z - 5/216 z y x + + 35 3 3 3 3 2 2 + + --- y x z - 1/216 z x - 1/36 x z + 1/108 x z - 1/216 x z + 216 + + 2 2 2 2 2 2 + + 1/6 x y z - 5/216 x y z + 5/108 x y z + 1/36 x y z - 1/18 x y z + + 2 2 2 2 2 2 3 3 35 2 3 + + 5/18 x y z - 5/36 x y z - 1/3 x y z + 7/216 x z - --- x y z + 108 + + 35 3 2 3 2 2 3 2 3 2 + + --- x y z - 7/36 x y z + 7/18 x y z - 7/108 x z - 1/36 x z + 216 + + 2 2 3 2 2 3 35 2 3 + + 1/18 x z + 7/216 x z , COEFF(-1, 1, 2) = - 7/6 z y x + -- z y x + 36 + + 2 3 49 2 3 3 35 3 245 3 3 3 + - 7/36 z y x + -- y x z + --- z y x - --- y x z + 7/216 z x + 36 216 216 + + 3 2 2 2 2 25 2 + + 7/36 x z - 5/72 x z + 1/27 x z - 4/3 x y z + 5/27 x y z - -- x y z + 72 + + 2 2 2 25 2 2 2 2 2 2 + - 2/9 x y z + 5/12 x y z - -- x y z + 10/9 x y z + 5/2 x y z + 12 + + 49 3 3 175 2 3 35 3 2 3 35 2 2 3 + - --- x z + --- x y z - -- x y z + 14/9 x y z - -- x y z + 216 72 27 12 + + 35 2 3 2 2 2 3 + + -- x z + 2/9 x z - 5/12 x z - 7/27 x z , COEFF(0, 1, 2) = + 72 + + 2 2 3 2 3 2 3 2 3 3 10 3 + 8/3 z y x - 20/9 z y x + 4/9 z y x - 28/9 y x z - -- z y x + 27 + + 70 3 3 3 2 3 2 2 + + -- y x z - 2/27 z x + 1/3 y z - 4/9 x z + 7/54 x z - 5/18 y z + 27 + + 2 3 35 2 2 2 2 2 + - 1/18 z - 1/3 z + 7/18 z + -- x y z - 7/9 x y z + 35/9 x y z + 54 + + 2 2 2 14 3 3 245 2 3 2 2 3 49 2 3 + - 14/3 x y z + -- x z - --- x y z + 49/9 x y z - -- x z + 27 54 54 + + 2 3 2 2 35 3 2 2 2 + - 7/3 y z + 7/9 x z + -- y z - 5/3 y z + 2 y z , COEFF(1, 1, 2) = + 18 + + 2 2 3 2 3 2 3 2 3 3 10 3 + - 8/3 z y x + 20/9 z y x - 4/9 z y x + 28/9 y x z + -- z y x + 27 + + 70 3 3 3 3 2 2 2 2 + - -- y x z + 2/27 z x + 4/9 x z - 5/54 x z - 1/27 x z + 4/3 x y z + 27 + + 25 2 2 2 2 2 2 + - 5/27 x y z - -- x y z + 2/9 x y z + 5/9 x y z - 25/9 x y z + 54 + + 2 2 2 2 14 3 3 175 2 3 35 3 + - 10/9 x y z + 10/3 x y z - -- x z + --- x y z + -- x y z + 27 54 27 + + 2 3 2 2 3 35 2 3 2 2 2 + - 14/9 x y z - 35/9 x y z + -- x z - 2/9 x z - 5/9 x z + 54 + + 3 2 2 3 35 2 3 2 3 + + 7/27 x z , COEFF(2, 1, 2) = 7/6 z y x - -- z y x + 7/36 z y x + 36 + + 49 2 3 3 35 3 245 3 3 3 3 2 + - -- y x z - --- z y x + --- y x z - 7/216 z x - 7/36 x z + 36 216 216 + + 2 2 2 2 + + 1/36 x z + 1/216 x z - 1/6 x y z + 5/216 x y z + 5/36 x y z + + 2 2 2 2 2 2 2 2 2 + - 1/36 x y z - 1/6 x y z + 5/6 x y z + 5/36 x y z - x y z + + 49 3 3 35 2 3 35 3 2 3 2 2 3 + + --- x z - -- x y z - --- x y z + 7/36 x y z + 7/6 x y z + 216 36 216 + + 2 3 2 2 2 3 + - 7/36 x z + 1/36 x z + 1/6 x z - 7/216 x z , COEFF(3, 1, 2) = + + 2 2 3 2 2 3 2 2 2 3 3 2 + - 1/6 z y x - 7/36 x y z - 1/36 x z + 5/36 z y x + 1/36 x z + + 2 3 2 3 2 35 2 3 2 2 + + 7/216 x z - 1/36 z y x - 1/216 x z + --- x y z + 1/36 x y z + 216 + + 2 2 2 2 3 3 3 3 2 35 3 3 + + 1/6 x y z + 7/36 y x z - 7/216 x z - 5/216 x y z - --- y x z + 216 + + 2 2 3 3 + - 5/36 x y z + 5/216 z y x + 1/216 z x , COEFF(-2, 2, 2) = + + 2 2 3 2 3 2 3 49 2 3 3 + - 7/96 z y x + 1/24 z y x - 7/576 z y x + --- y x z + 576 + + 3 3 3 3 3 2 2 + + 1/144 z y x - 7/144 y x z + 1/1728 z x + 1/288 x z - 1/864 x z + + 2 2 2 2 + + 1/1728 x z - 7/96 x y z + 1/144 x y z - 1/72 x y z - 7/576 x y z + + 2 2 2 2 2 2 2 2 + + 7/288 x y z - 1/12 x y z + 1/24 x y z + 7/48 x y z + + 3 3 2 3 3 49 2 3 49 2 2 3 + - 7/1728 x z + 7/72 x y z - 7/144 x y z + --- x y z - --- x y z + 576 288 + + 2 3 2 2 2 3 + + 7/864 x z + 1/288 x z - 1/144 x z - 7/1728 x z , COEFF(-1, 2, 2) = + + 49 2 2 3 2 3 49 2 3 343 2 3 3 3 + -- z y x - 7/24 z y x + --- z y x - --- y x z - 7/144 z y x + 96 576 576 + + 49 3 3 3 3 2 2 + + --- y x z - 7/1728 z x - 7/288 x z + 5/576 x z - 1/216 x z + 144 + + 2 2 2 2 35 2 2 + + 7/12 x y z - 1/18 x y z + 5/48 x y z + 7/72 x y z - --- x y z + 192 + + 2 2 2 35 2 2 2 49 3 3 35 2 3 + + 5/8 x y z - 1/3 x y z - -- x y z + ---- x z - -- x y z + 32 1728 48 + + 3 49 2 3 245 2 2 3 35 2 3 2 + + 7/18 x y z - -- x y z + --- x y z - --- x z - 1/36 x z + 72 192 576 + + 2 2 3 2 2 3 2 3 + + 5/96 x z + 7/216 x z , COEFF(0, 2, 2) = - 7/6 z y x + 2/3 z y x + + 2 3 49 2 3 3 3 3 3 3 + - 7/36 z y x + -- y x z + 1/9 z y x - 7/9 y x z + 1/108 z x + 36 + + 2 3 2 2 2 + - 7/48 y z + 1/18 x z - 7/432 x z + 1/12 y z + 1/144 z + 1/24 z + + 3 2 49 2 2 2 2 49 2 2 2 + - 7/144 z - 7/36 x y z + --- x y z - 7/6 x y z + -- x y z + 144 24 + + 3 3 49 2 3 343 2 2 3 49 2 3 49 2 3 + - 7/108 x z + -- x y z - --- x y z + --- x z + -- y z + 36 144 432 48 + + 2 2 3 2 2 2 + - 7/72 x z - 7/12 y z + 1/2 y z - 7/8 y z , COEFF(1, 2, 2) = + + 2 2 3 2 3 2 3 49 2 3 3 3 + 7/6 z y x - 2/3 z y x + 7/36 z y x - -- y x z - 1/9 z y x + 36 + + 3 3 3 3 2 2 + + 7/9 y x z - 1/108 z x - 1/18 x z + 5/432 x z + 1/216 x z + + 2 2 2 2 35 2 2 + - 7/12 x y z + 1/18 x y z + 5/36 x y z - 7/72 x y z - --- x y z + 144 + + 2 2 2 35 2 2 2 3 3 35 2 3 + + 5/6 x y z + 1/3 x y z - -- x y z + 7/108 x z - -- x y z + 24 36 + + 3 49 2 3 245 2 2 3 35 2 3 2 + - 7/18 x y z + -- x y z + --- x y z - --- x z + 1/36 x z + 72 144 432 + + 2 2 3 49 2 2 3 2 3 + + 5/72 x z - 7/216 x z , COEFF(2, 2, 2) = - -- z y x + 7/24 z y x + 96 + + 49 2 3 343 2 3 3 3 49 3 3 3 + - --- z y x + --- y x z + 7/144 z y x - --- y x z + 7/1728 z x + 576 576 144 + + 3 2 2 2 2 + + 7/288 x z - 1/288 x z - 1/1728 x z + 7/96 x y z - 1/144 x y z + + 2 2 2 2 2 2 2 + - 1/24 x y z + 7/576 x y z + 7/96 x y z - 1/4 x y z - 1/24 x y z + + 2 2 2 49 3 3 2 3 3 49 2 3 + + 7/16 x y z - ---- x z + 7/24 x y z + 7/144 x y z - --- x y z + 1728 576 + + 49 2 2 3 2 3 2 2 2 3 + - -- x y z + 7/288 x z - 1/288 x z - 1/48 x z + 7/1728 x z , + 96 + + 49 2 3 3 2 2 2 3 + COEFF(3, 2, 2) = - --- y x z + 1/1728 x z - 7/576 x y z - 1/1728 z x + 576 + + 3 3 2 3 2 2 2 2 + + 7/144 y x z + 1/144 x y z - 1/144 z y x + 1/24 x y z + 1/288 x z + + 2 3 49 2 2 3 2 3 2 3 + + 7/576 z y x + --- x y z - 1/24 z y x - 7/1728 x z + 576 + + 2 2 3 2 3 2 2 2 3 2 + + 7/96 z y x - 7/144 x y z - 7/96 x y z - 1/288 x z + + 3 3 2 2 2 + + 7/1728 x z , COEFF(-2, 3, 2) = - 1/864 x y z - 1/48 x y z + + 2 2 3 3 2 3 2 2 + + 1/432 x y z - 7/576 y x z - 7/432 x y z + 1/96 x y z + + 3 3 3 2 3 2 3 + + 7/864 y x z - 1/864 z y x + 1/576 z y x - 1/144 z y x + + 2 2 2 3 3 2 2 + - 1/144 x y z + 1/96 z y x + 7/864 x y z + 1/72 x y z + + 2 2 2 2 3 2 2 3 + - 1/288 x y z + 1/576 x y z - 7/576 x y z + 7/288 x y z , + + 49 3 3 49 2 3 3 2 3 2 + COEFF(-1, 3, 2) = - --- y x z + --- y x z + 7/72 x y z - 1/72 x y z + 864 576 + + 3 35 2 2 3 2 2 2 3 + - 7/108 x y z - --- x y z + 5/192 x y z - 7/576 z y x + 192 + + 2 3 2 2 2 2 + + 1/108 x y z + 7/144 z y x - 1/12 x y z - 5/288 x y z + 1/18 x y z + + 35 2 3 2 2 2 2 2 2 2 3 + + --- x y z - 5/48 x y z + 5/32 x y z - 7/96 z y x + 288 + + 3 2 3 2 2 + + 7/864 z y x , COEFF(0, 3, 2) = - 1/9 z y x + 7/36 x y z + + 2 3 2 2 49 2 2 3 + + 7/216 x y z + 7/72 y z - 1/12 y z + 1/48 y z + --- x y z + 144 + + 2 2 2 2 2 2 3 2 3 + - 7/24 x y z - 7/144 x y z + 1/36 z y x - 7/48 y z - 1/72 y z + + 2 3 3 3 2 2 3 3 3 49 2 3 + - 7/36 y x z - 1/54 z y x + 1/6 z y x + 7/54 y x z - --- x y z + 216 + + 2 2 2 3 2 2 2 + + 1/8 y z , COEFF(1, 3, 2) = - 7/72 x y z - 1/18 x y z + 1/12 x y z + + 3 2 3 35 2 3 + - 1/108 x y z + 1/54 z y x - 5/216 x y z + 7/108 x y z + --- x y z + 216 + + 3 3 2 2 2 2 3 2 3 35 2 2 3 + - 7/54 y x z + 5/24 x y z + 1/9 z y x - 1/36 z y x - --- x y z + 144 + + 2 2 2 2 2 2 3 2 3 3 + - 5/36 x y z + 5/144 x y z - 1/6 z y x + 7/36 y x z + + 2 3 2 + + 1/72 x y z, COEFF(2, 3, 2) = - 7/864 x y z + 1/144 x y z + + 2 3 2 2 2 2 2 49 2 3 3 + - 7/144 z y x - 1/16 x y z + 1/24 x y z - --- y x z + 576 + + 2 49 3 3 2 2 3 + - 1/576 x y z + --- y x z + 1/144 x y z + 7/576 x y z + 864 + + 2 3 2 2 3 3 + - 7/144 x y z + 7/96 z y x + 1/864 x y z - 7/864 z y x + + 2 2 3 2 2 2 2 2 3 + + 7/96 x y z - 1/96 x y z - 1/96 x y z + 7/576 z y x , + + 2 2 3 3 2 3 + COEFF(3, 3, 2) = - 7/576 x y z + 1/864 z y x - 1/576 z y x + + 2 2 2 2 3 3 2 3 + + 1/576 x y z - 1/864 x y z + 7/576 y x z + 1/144 z y x + + 2 2 2 2 3 3 3 2 2 2 + - 1/144 x y z - 1/96 z y x - 7/864 y x z + 1/96 x y z + + 2 3 2 2 3 + + 7/864 x y z , COEFF(-2, -2, 3) = - 1/432 x y z - 1/432 z y x + + 2 2 2 3 2 3 3 + - 1/288 x y z - 1/1728 x z + 1/1728 x z + 1/432 y x z + + 2 3 2 3 3 3 3 3 + - 1/576 x y z - 1/576 y x z - 1/1728 x z + 1/432 x y z + + 2 2 3 2 3 2 2 2 3 + + 1/576 z y x + 1/864 x z + 1/576 x y z - 1/216 x y z + + 2 2 3 3 2 2 2 2 2 + + 1/288 x y z + 1/1728 x z + 1/216 x y z - 1/864 x z , + + 2 2 2 2 3 2 2 3 + COEFF(-1, -2, 3) = - 1/72 x y z - 5/192 x y z - 7/576 z y x + + 3 3 2 3 3 2 2 3 3 + + 7/1728 x z + 1/72 x y z - 7/1728 x z - 1/216 x z - 7/432 y x z + + 2 2 3 3 2 3 2 2 2 + + 1/54 x y z + 7/576 y x z - 5/576 x z + 5/192 x y z + + 2 3 3 3 2 3 2 2 + + 7/432 z y x + 1/216 x z - 1/54 x y z + 5/144 x y z + 5/576 x z + + 2 2 2 2 2 3 + - 5/144 x y z , COEFF(0, -2, 3) = - 7/432 x z - 1/36 y z + 1/36 y z + + 2 3 3 3 3 2 2 2 2 2 2 + + 7/432 x z + 1/27 y x z + 1/108 x z - 7/144 x y z + 1/48 y z + + 2 2 2 3 2 2 3 2 3 3 + + 7/108 x y z - 7/108 x y z + 1/36 z y x + 1/144 z - 1/108 x z + + 2 3 3 2 3 2 3 3 2 2 3 + - 1/36 y x z - 1/48 y z - 1/27 z y x - 1/144 z + 7/144 x y z , + + 2 2 3 3 2 2 + COEFF(1, -2, 3) = - 1/36 z y x - 1/108 x z - 1/54 x y z + + 2 2 3 3 3 2 3 2 3 + - 5/144 x y z - 1/27 y x z - 1/72 x y z - 5/432 x z + + 2 3 3 2 2 2 3 2 3 + + 1/36 y x z - 5/108 x y z + 5/108 x y z + 1/27 z y x + + 2 2 2 2 2 2 3 2 2 + + 5/432 x z + 1/216 x z + 5/144 x y z - 1/216 x z + 1/72 x y z + + 3 3 3 3 3 3 + + 1/108 x z + 1/54 x y z , COEFF(2, -2, 3) = 1/1728 x z + 7/432 y x z + + 2 2 2 3 3 2 2 3 + + 1/72 x y z - 7/576 y x z - 1/288 x z - 1/432 x y z + + 3 2 2 3 2 2 3 + + 7/1728 x z - 7/432 z y x - 1/1728 x z + 1/576 x y z + + 2 3 2 2 3 3 3 2 3 + - 1/72 x y z + 7/576 z y x - 7/1728 x z + 1/288 x z + + 2 2 3 2 2 2 2 2 2 + + 1/96 x y z + 1/432 x y z - 1/576 x y z - 1/96 x y z , + + 2 3 3 2 3 2 2 2 + COEFF(3, -2, 3) = 1/576 y x z - 1/1728 x z + 1/576 x y z + + 2 3 2 2 3 2 3 2 2 3 + + 1/432 x y z - 1/576 x y z + 1/432 z y x - 1/576 z y x + + 2 2 3 2 3 3 2 2 + - 1/432 x y z - 1/1728 x z + 1/1728 x z + 1/1728 x z + + 3 3 2 2 + - 1/432 y x z , COEFF(-2, -1, 3) = 5/288 x y z - 1/216 x z + + 2 2 2 3 2 2 3 3 3 + - 5/144 x y z + 5/288 z y x - 7/288 x y z - 5/288 y x z + + 2 2 2 2 2 3 3 3 3 + + 7/288 x y z - 7/576 x y z + 1/216 x z + 1/216 x z - 5/288 x y z + + 2 3 2 3 2 3 3 2 3 + + 5/144 x y z - 1/108 x z + 7/576 y x z + 7/576 x y z + + 3 2 2 2 3 2 2 + - 1/216 x z - 7/576 z y x + 1/108 x z , COEFF(-1, -1, 3) = + + 3 35 2 2 2 2 3 3 2 2 3 + - 1/27 x z - --- x y z + 5/72 x z + 7/216 x z - 7/72 x y z + 192 + + 35 3 3 2 49 2 2 3 49 2 3 3 25 2 3 + + --- y x z - 5/36 x y z + --- z y x - --- y x z - -- x y z + 288 576 576 96 + + 35 2 2 3 2 2 2 3 25 2 2 + + --- x y z + 1/27 x z + 7/72 x y z + 5/36 x y z + -- x y z + 192 96 + + 2 2 35 2 3 3 3 2 2 + - 5/72 x z - --- z y x - 7/216 x z , COEFF(0, -1, 3) = - 7/48 y z + 288 + + 2 3 49 2 2 3 2 3 2 2 2 + + 7/48 y z - --- x y z + 5/24 y z - 2/27 x z + 7/54 x z + 144 + + 2 2 3 35 2 2 3 3 3 3 3 + - 7/36 z y x - -- x y z + 2/27 x z + 1/18 z - 5/18 y x z + 72 + + 35 2 3 2 3 3 2 3 49 2 2 2 2 3 + + -- x y z + 7/36 y x z + 5/18 z y x + --- x y z - 7/54 x z + 72 144 + + 2 3 2 3 3 25 2 2 + - 1/18 z - 5/24 y z , COEFF(1, -1, 3) = - 7/36 y x z + -- x y z + 72 + + 2 2 2 3 3 2 3 3 + + 5/36 x y z - 5/54 x z + 5/18 y x z - 1/27 x z - 2/27 x z + + 3 35 2 2 3 2 3 2 3 3 + + 1/27 x z + --- x y z - 5/18 z y x + 7/72 x y z - 5/36 x y z + 144 + + 2 3 35 2 2 2 25 2 3 2 2 3 2 + + 5/54 x z - --- x y z - -- x y z - 7/72 x y z + 2/27 x z + 144 72 + + 2 2 3 2 2 2 2 2 + + 7/36 z y x , COEFF(2, -1, 3) = 7/576 x y z + 7/96 x y z + + 2 2 3 2 2 2 3 3 2 + + 1/36 x z - 1/216 x z - 5/48 x y z + 5/48 x y z - 7/216 x z + + 49 2 3 3 35 3 3 3 49 2 2 3 2 + + --- y x z - --- y x z + 5/288 x y z - --- z y x - 5/288 x y z + 576 288 576 + + 3 3 35 2 3 2 3 2 2 3 + + 7/216 x z + --- z y x - 7/576 x y z + 1/216 x z - 1/36 x z + 288 + + 2 2 3 2 2 3 2 3 + - 7/96 x y z , COEFF(3, -1, 3) = 7/576 z y x + 1/216 x z + + 2 2 2 2 3 3 2 2 2 + - 7/576 x y z - 5/288 x y z + 1/216 x z - 1/216 x z + + 2 2 3 2 3 3 3 3 2 3 + + 7/576 x y z - 7/576 y x z - 1/216 x z - 5/288 z y x + + 3 3 2 2 2 2 2 + + 5/288 y x z + 5/288 x y z , COEFF(-2, 0, 3) = - 1/18 x y z + + 2 2 3 3 3 2 3 + + 7/108 x y z + 7/216 y x z + 7/216 x y z - 1/36 x y z + + 2 3 2 2 3 2 2 + - 7/216 z y x - 7/216 x y z - 7/108 x y z + 1/36 x y z + + 2 3 3 2 2 3 2 2 3 + - 1/36 y x z + 1/36 z y x + 1/18 x y z , COEFF(-1, 0, 3) = + + 3 2 3 2 2 3 2 2 3 35 2 3 + - 7/27 x y z + 2/9 x y z - 7/36 z y x - 5/12 x y z + -- x y z + 72 + + 2 2 2 2 35 2 2 2 3 3 2 2 + + 7/27 x y z + 5/12 x y z - -- x y z + 7/36 y x z - 2/9 x y z + 72 + + 49 2 3 49 3 3 2 2 14 3 3 + + --- z y x - --- y x z , COEFF(0, 0, 3) = 1/3 y z + -- y x z + 216 216 27 + + 49 2 3 2 2 3 3 2 3 49 2 2 + - -- x y z - 7/18 y z - 4/9 y x z - 1/3 y z + -- x y z + 54 54 + + 2 2 2 2 2 3 2 2 3 14 2 3 3 + - 7/9 x y z + 4/9 z y x + 7/9 x y z - -- z y x + 7/18 y z , + 27 + + 35 2 2 2 2 2 2 3 2 3 3 + COEFF(1, 0, 3) = - -- x y z + 2/9 x y z - 4/9 z y x + 4/9 y x z + 54 + + 35 2 3 14 3 3 2 2 3 2 3 + + -- x y z - -- y x z - 5/9 x y z - 7/27 x y z + 7/27 x y z + 54 27 + + 14 2 3 2 3 2 2 2 2 + + -- z y x - 2/9 x y z + 5/9 x y z , COEFF(2, 0, 3) = 7/216 x y z + 27 + + 49 2 3 2 2 3 2 2 2 2 3 2 3 3 + - --- z y x + 1/6 x y z - 1/6 x y z + 1/36 x y z - 7/36 y x z + 216 + + 49 3 3 2 2 2 2 2 2 3 2 3 + + --- y x z + 7/36 x y z - 1/36 x y z + 7/36 z y x - 7/36 x y z + 216 + + 3 2 2 2 3 + - 7/216 x y z , COEFF(3, 0, 3) = - 7/216 x y z + 7/216 z y x + + 2 3 3 3 2 2 3 2 2 3 + + 7/216 x y z - 7/216 y x z - 1/36 x y z - 1/36 z y x + + 2 2 2 2 3 3 2 3 3 + + 1/36 x y z + 1/36 y x z , COEFF(-2, 1, 3) = 1/36 y x z + + 3 2 2 2 2 2 2 3 2 + - 5/216 x y z + 1/216 x z + 1/18 x y z - 1/36 z y x + 5/216 x y z + + 3 3 2 2 2 3 3 2 + - 5/216 y x z - 5/108 x y z + 5/216 z y x + 1/216 x z + + 2 3 3 2 3 2 2 3 2 2 + + 1/108 x z - 1/216 x z + 1/36 x y z - 1/18 x y z - 1/108 x z + + 2 3 3 3 2 2 + + 5/108 x y z - 1/216 x z - 1/36 x y z , COEFF(-1, 1, 3) = + + 25 2 3 2 3 2 2 3 35 2 3 2 2 2 + - -- x y z - 5/72 x z + 7/36 z y x - --- z y x - 5/12 x y z + 72 216 + + 3 2 2 2 3 2 3 + - 7/216 x z - 5/27 x y z - 1/27 x z + 1/27 x z - 2/9 x y z + + 35 3 3 25 2 2 3 3 2 2 2 2 3 + + --- y x z + -- x y z + 7/216 x z + 2/9 x y z + 5/12 x y z + 216 72 + + 2 2 2 3 3 3 2 2 + + 5/72 x z - 7/36 y x z + 5/27 x y z , COEFF(0, 1, 3) = - 7/54 x z + + 2 2 3 10 2 3 2 3 3 2 3 2 2 2 + - 7/9 x y z + -- z y x + 4/9 y x z + 1/3 y z + 7/9 x y z + 27 + + 3 3 3 10 3 3 3 3 2 + - 1/18 z - 2/27 x z - -- y x z - 5/18 y z + 2/27 x z + 27 + + 2 2 3 2 3 2 35 2 3 2 2 + - 4/9 z y x + 7/54 x z + 1/18 z + -- x y z - 1/3 y z + 54 + + 35 2 2 2 10 2 3 2 3 3 + - -- x y z + 5/18 y z , COEFF(1, 1, 3) = - -- z y x - 4/9 y x z + 54 27 + + 2 2 3 2 2 2 3 3 25 2 2 + + 4/9 z y x - 5/9 x y z - 5/27 x y z - 1/27 x z + -- x y z + 54 + + 10 3 3 2 3 3 3 2 2 3 + + -- y x z + 5/27 x y z + 2/27 x z - 2/27 x z + 2/9 x y z + 27 + + 2 25 2 3 2 2 2 3 2 2 3 + + 1/27 x z - -- x y z - 2/9 x y z - 5/54 x z + 5/9 x y z + 54 + + 2 2 2 3 3 2 2 2 3 + + 5/54 x z , COEFF(2, 1, 3) = 5/36 x y z + 7/216 x z - 1/6 x y z + + 2 2 35 3 3 2 3 2 3 2 2 + - 1/36 x z - --- y x z + 1/36 x z - 1/36 x y z + 1/36 x y z + 216 + + 3 3 2 2 2 2 3 3 3 3 + + 5/216 x y z + 1/216 x z + 1/6 x y z + 7/36 y x z - 7/216 x z + + 35 2 3 2 2 2 2 2 2 3 + + --- z y x - 1/216 x z - 5/36 x y z - 5/216 x y z - 7/36 z y x , + 216 + + 2 2 2 2 2 2 2 3 + COEFF(3, 1, 3) = - 1/36 x y z + 1/216 x z + 1/36 z y x + + 3 2 3 3 2 3 2 2 2 3 3 + - 1/216 x z + 1/216 x z - 1/216 x z + 5/216 x y z - 1/36 y x z + + 3 3 2 3 2 2 3 2 3 + + 5/216 y x z - 5/216 x y z + 1/36 x y z - 5/216 z y x , + + 2 3 2 3 3 + COEFF(-2, 2, 3) = - 1/72 x y z - 1/864 x z + 1/144 x y z + + 2 2 3 2 2 3 2 3 2 2 + + 7/288 x y z + 7/576 z y x - 7/576 x y z + 1/72 x y z + + 3 2 2 2 3 3 3 + + 1/1728 x z + 7/576 x y z - 1/144 z y x + 1/144 y x z + + 2 3 3 2 2 2 3 2 2 + - 7/576 y x z - 7/288 x y z - 1/1728 x z - 1/1728 x z + + 3 3 2 2 2 + + 1/1728 x z - 1/144 x y z + 1/864 x z , COEFF(-1, 2, 3) = + + 3 2 2 2 3 35 2 2 3 3 3 + 7/1728 x z + 1/18 x y z + 5/48 x y z - --- x y z - 7/1728 x z + 192 + + 3 3 35 2 2 2 2 2 2 3 + - 1/216 x z - 1/18 x y z + --- x y z - 5/48 x y z + 5/576 x z + 192 + + 3 3 2 2 3 49 2 2 3 2 3 + - 7/144 y x z + 1/216 x z + 7/144 z y x - --- z y x + 7/72 x y z + 576 + + 49 2 3 3 2 2 2 2 + + --- y x z - 7/72 x y z - 5/576 x z , COEFF(0, 2, 3) = + 576 + + 49 2 2 2 2 2 2 2 2 3 3 + - --- x y z + 7/36 x y z + 7/48 y z - 1/9 z y x + 1/144 z + 144 + + 2 2 2 3 49 2 2 3 2 3 2 3 3 + - 1/144 z + 7/36 z y x + --- x y z - 7/36 x y z - 7/36 y x z + 144 + + 3 2 3 3 2 3 3 3 2 3 + - 1/108 x z + 1/9 y x z - 7/432 x z + 1/108 x z - 7/48 y z + + 3 2 2 2 2 3 + + 1/12 y z - 1/12 y z + 7/432 x z , COEFF(1, 2, 3) = - 7/72 x y z + + 3 3 2 2 3 3 2 2 3 + - 1/9 y x z - 1/216 x z + 7/36 y x z - 5/36 x y z + 1/216 x z + + 35 2 2 2 2 2 3 35 2 2 3 2 3 3 2 + + --- x y z - 7/36 z y x - --- x y z + 5/36 x y z + 1/108 x z + 144 144 + + 2 3 2 2 2 2 2 3 3 + + 1/9 z y x + 7/72 x y z - 5/432 x z - 1/18 x y z - 1/108 x z + + 3 2 3 2 2 2 2 3 + + 1/18 x y z + 5/432 x z , COEFF(2, 2, 3) = 1/288 x z + 7/96 x y z + + 2 2 49 2 3 3 2 3 3 3 + + 1/144 x y z + 1/1728 x z - --- y x z - 1/24 x y z + 7/144 y x z + 576 + + 49 2 2 3 2 3 3 2 3 3 2 + + --- z y x - 7/144 z y x - 1/1728 x z - 1/288 x z - 7/1728 x z + 576 + + 2 3 2 2 3 2 2 2 + + 7/576 x y z - 7/576 x y z - 1/144 x y z - 7/96 x y z + + 2 2 3 3 3 3 + + 1/24 x y z + 7/1728 x z , COEFF(3, 2, 3) = - 1/1728 x z + + 2 2 3 2 3 3 2 3 2 3 + - 7/576 x y z + 7/576 y x z + 1/144 x y z + 1/144 z y x + + 3 2 3 3 2 2 2 3 + + 1/1728 x z - 1/144 y x z - 1/1728 x z + 1/1728 x z + + 2 2 3 2 2 2 2 2 + - 7/576 z y x - 1/144 x y z + 7/576 x y z , COEFF(-2, 3, 3) = + + 2 2 2 2 2 3 2 3 3 + 1/288 x y z + 1/864 x y z + 1/432 x y z + 1/576 y x z + + 2 2 3 3 2 2 2 3 + - 1/576 z y x - 1/864 x y z - 1/576 x y z + 1/576 x y z + + 2 2 3 3 2 2 3 2 3 + - 1/432 x y z - 1/864 y x z - 1/288 x y z + 1/864 z y x , + + 2 3 3 2 2 3 3 + COEFF(-1, 3, 3) = - 7/576 y x z + 5/192 x y z + 1/108 x y z + + 2 2 2 2 2 2 2 2 + + 5/288 x y z - 1/108 x y z + 1/72 x y z - 5/192 x y z + + 2 2 3 2 3 2 3 2 3 + + 7/576 z y x - 5/288 x y z - 1/72 x y z - 7/864 z y x + + 3 3 2 2 2 2 3 + + 7/864 y x z , COEFF(0, 3, 3) = 7/144 x y z + 7/216 x y z + + 2 3 2 2 2 2 3 3 2 2 + + 1/54 z y x + 1/72 y z - 1/48 y z + 1/36 y x z - 7/216 x y z + + 3 3 2 2 3 2 2 3 2 3 3 + - 1/54 y x z - 1/36 z y x - 7/144 x y z + 1/48 y z - 1/72 y z , + + 2 2 3 3 2 2 + COEFF(1, 3, 3) = 1/108 x y z - 1/36 y x z + 5/216 x y z + + 2 2 2 3 3 3 2 2 3 + - 1/72 x y z - 1/54 z y x + 1/54 y x z + 1/36 z y x + + 2 2 3 3 2 3 2 2 2 + + 5/144 x y z - 1/108 x y z + 1/72 x y z - 5/144 x y z + + 2 3 2 3 2 2 + - 5/216 x y z , COEFF(2, 3, 3) = 1/144 x y z + 1/576 x y z + + 2 2 3 3 3 2 3 3 + - 1/96 x y z - 7/864 y x z - 1/576 x y z + 1/864 x y z + + 2 2 3 2 3 2 2 2 2 + - 7/576 z y x + 7/864 z y x + 1/96 x y z - 1/864 x y z + + 2 2 2 3 3 2 2 3 + - 1/144 x y z + 7/576 y x z , COEFF(3, 3, 3) = 1/576 x y z + + 2 3 2 3 2 3 3 2 2 3 + - 1/864 x y z - 1/864 z y x - 1/576 y x z + 1/576 z y x + + 3 3 2 2 2 2 2 + + 1/864 y x z - 1/576 x y z + 1/864 x y z ] + +> 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y x DATA(3, -1, 1) + 1/864 z y x DATA(3, -2, 3) + 216 + + 35 3 2 49 3 2 + - --- z y x DATA(3, -1, -1) + --- z y x DATA(3, -1, 0) + 288 216 + + 3 2 3 2 + + 7/144 z y x DATA(3, -1, 2) - 7/864 z y x DATA(3, -1, 3) + + 3 2 14 3 2 + - 5/18 z y x DATA(3, 1, -1) + -- z y x DATA(3, 1, 0) + 27 + + 3 2 3 2 + + 1/9 z y x DATA(3, 1, 2) + 1/144 z y x DATA(2, 3, 3) + + 3 2 35 3 2 + + 5/288 z y x DATA(3, -2, -1) + -- z y x DATA(2, -1, 1) + 36 + + 3 2 3 2 + - 5/36 z y x DATA(1, -2, 2) + 5/216 z y x DATA(1, -2, 3) + + 3 2 3 2 + - 5/48 z y x DATA(2, -2, -1) + 5/3 z y x DATA(2, 1, -1) + + 175 3 2 175 3 2 + + --- z y x DATA(1, 2, -1) + --- z y x DATA(1, 2, 1) + 72 54 + + 49 3 2 245 3 2 + + -- z y x DATA(2, 2, 0) - --- z y x DATA(1, 2, 0) + 36 54 + + 3 2 10 3 2 + + 5/288 z y x DATA(-1, -2, 3) - -- z y x DATA(1, 1, 3) + 27 + + 35 3 2 2 2 + - --- z y x DATA(1, -1, 3) - 7/216 x y z DATA(0, 3, 3) + 216 + + 3 2 35 3 2 + + 20/9 z y x DATA(1, 1, 2) - -- z y x DATA(2, 2, -1) + 48 + + 35 3 2 35 3 2 + - -- z y x 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1, 0) - 2/9 z y x DATA(-2, 1, 2) + 27 + + 3 2 25 3 2 + + 1/27 z y x DATA(-2, 1, 3) - -- z y x DATA(-1, 3, 1) + 72 + + 3 2 25 3 2 + + 5/36 z y x DATA(2, 3, 1) + -- z y x DATA(-1, -2, 1) + 72 + + 3 2 3 2 + - 5/144 z y x DATA(-2, -2, -1) + 7/108 z y x DATA(-2, -2, 0) + + 3 2 3 2 + + 1/72 z y x DATA(-2, -2, 2) - 1/432 z y x DATA(-2, -2, 3) + + 2 2 3 2 + - 5/72 x y DATA(2, 1, -2) - 7/48 x z DATA(-1, 0, -2) + + 3 2 20 3 2 + - 1/72 z y x DATA(2, 3, -2) + -- z y x DATA(1, 1, -2) + 27 + + 3 2 3 2 + - 7/216 z y x DATA(-2, -1, -2) - 2/9 z y x DATA(2, 1, -2) + + 25 3 2 25 3 2 + + -- z y x DATA(1, -2, 1) - -- z y x DATA(1, 3, 1) + 54 54 + + 3 2 3 2 + + 5/108 z y x DATA(-2, 3, 1) - 5/36 z y x DATA(2, -2, 1) + + 35 3 2 35 3 2 + + -- z y x DATA(1, -1, 2) - --- z y x DATA(-2, 2, 1) + 36 108 + + 3 2 3 2 + + 1/24 z y x DATA(2, -2, 2) - 1/144 z y x DATA(2, -2, 3) + + 3 2 35 3 2 + + 7/144 z y x DATA(2, -1, 3) + --- z y x DATA(-1, -1, -2) + 144 + + 3 2 3 2 + - 7/72 z y x DATA(2, -1, -2) + 5/144 z y x 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z y x DATA(0, 1, -1) + 27 + + 98 3 3 3 3 + - -- z y x DATA(0, 2, 0) - 7/9 z y x DATA(0, 2, 2) + 27 + + 3 3 98 3 3 + + 16/9 z y x DATA(0, 1, 2) + -- z y x DATA(0, -1, 0) + 27 + + 3 3 70 3 3 + + 7/9 z y x DATA(0, -1, 2) + -- z y x DATA(0, 2, 1) + 27 + + 10 3 3 3 3 + + -- z y x DATA(0, -2, 1) - 7/54 z y x DATA(0, -1, 3) + 27 + + 3 3 3 3 + + 7/54 z y x DATA(0, 2, 3) + 1/27 z y x DATA(0, 3, -2) + + 2 2 70 3 3 + - 5/36 x y DATA(-1, -2, 1) - -- z y x DATA(0, -1, 1) + 27 + + 3 3 16 3 3 + - 7/54 z y x DATA(-1, 0, 3) + -- z y x DATA(0, 1, -2) + 27 + + 3 3 3 3 + + 7/27 z y x DATA(0, -1, -2) - 7/27 z y x DATA(0, 2, -2) + + 3 3 35 3 3 + - 1/27 z y x DATA(0, -2, -2) + -- z y x DATA(0, 2, -1) + 18 + + 3 3 2 2 + + 1/54 z y x DATA(-2, 0, 3) + 1/18 x y DATA(-2, 2, 1) + + 2 2 + - 5/576 x y DATA(-2, -1, 2) - 5/72 x y DATA(-2, -1, -1) + + 2 2 2 + - 5/27 x y DATA(1, -2, 1) + 1/864 x y DATA(-2, -2, 2) + + 2 2 2 2 + + 5/54 x y DATA(1, 3, 1) - 1/108 x y DATA(-2, 3, 1) + + 2 70 3 3 + + 1/27 x y DATA(1, 3, 1) + 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1/288 x y z - 1/864 y x - 1/432 x y z + 1/216 x y z + + 2 2 2 2 2 2 2 2 + + 1/216 x y z - 1/108 x y z + 1/432 x y - 1/288 x y z - 1/864 x y + + 2 2 2 2 2 3 + + 1/576 x y z + 1/144 x y z - 1/864 x y + 1/1728 x y + 1/1728 y x + + 2 3 2 2 3 2 3 + - 1/864 y x , COEFF(-1, -2, -2) = 7/288 z y x - 7/576 z y x + + 2 3 3 3 2 2 2 3 3 + - 7/216 z y x + 7/432 z y x + 5/192 y x z - 7/576 z y x + + 3 2 3 3 2 3 3 3 + - 1/72 y x z + 1/54 z y x - 5/144 z y x + 7/432 z y x - 1/216 y x + + 3 3 2 2 3 2 2 + - 7/1728 y x + 1/36 x y z + 5/576 y x + 1/54 x y z - 5/144 x y z + + 2 2 2 2 2 2 2 2 + - 1/27 x y z + 5/72 x y z - 5/288 x y + 5/192 x y z + 5/576 x y + + 2 2 2 2 2 3 + - 1/72 x y z - 5/96 x y z + 1/108 x y - 1/216 x y - 7/1728 y x + + 2 3 2 2 3 2 3 + + 7/864 y x , COEFF(0, -2, -2) = - 1/18 z y x + 1/36 z y x + + 2 3 3 2 3 2 2 2 3 3 + + 2/27 z y x - 1/27 z y x + 1/18 y z - 7/144 y x z + 1/36 z y x + + 3 2 3 3 3 2 + + 7/108 z y x - 1/27 z y x - 1/36 y z + 1/144 y + 1/48 y z + + 3 3 3 2 3 3 2 + - 1/36 z y + 1/108 y x - 1/72 y + 1/144 y - 7/432 y x + + 2 2 2 2 2 2 2 2 + + 7/108 x y z - 7/54 x y z + 7/216 x y - 7/144 x y z - 7/432 x y + + 2 2 2 3 2 3 2 2 2 + + 7/72 x y z + 1/108 y x - 1/54 y x + 1/48 y z - 1/24 y z , + + 2 2 3 2 3 2 3 + COEFF(1, -2, -2) = 1/18 z y x - 1/36 z y x - 2/27 z y x + + 3 3 2 2 2 3 3 3 2 + + 1/27 z y x + 5/144 y x z - 1/36 z y x + 1/72 y x z + + 3 3 2 3 3 3 3 3 + - 1/54 z y x - 5/108 z y x + 1/27 z y x + 1/216 y x - 1/108 y x + + 2 2 3 2 2 2 + - 1/36 x y z + 5/432 y x - 1/54 x y z - 5/108 x y z + 1/27 x y z + + 2 2 2 2 2 2 2 2 + + 5/54 x y z - 5/216 x y + 5/144 x y z + 5/432 x y + 1/72 x y z + + 2 2 2 2 3 2 3 + - 5/72 x y z - 1/108 x y + 1/216 x y - 1/108 y x + 1/54 y x , + + 2 2 3 2 3 2 3 + COEFF(2, -2, -2) = - 7/288 z y x + 7/576 z y x + 7/216 z y x + + 3 3 2 2 2 3 3 3 2 + - 7/432 z y x - 1/96 y x z + 7/576 z y x - 1/576 y x z + + 3 3 2 3 3 3 3 3 + + 1/432 z y x + 1/72 z y x - 7/432 z y x - 1/1728 y x + 7/1728 y x + + 2 2 3 2 2 2 + + 1/288 x y z - 1/288 y x + 1/432 x y z + 1/72 x y z - 1/216 x y z + + 2 2 2 2 2 2 2 2 + - 1/36 x y z + 1/144 x y - 1/96 x y z - 1/288 x y - 1/576 x y z + + 2 2 2 2 3 2 3 + + 1/48 x y z + 1/864 x y - 1/1728 x y + 7/1728 y x - 7/864 y x , + + 3 2 3 2 2 2 + COEFF(3, -2, -2) = 1/432 z y x - 1/216 z y x - 1/288 x y z + + 2 2 3 3 2 2 3 + + 1/1728 x y - 1/576 z y x + 1/576 y x z - 1/1728 y x + + 2 2 2 2 3 2 3 2 2 + + 1/216 x y z + 1/288 z y x + 1/864 y x + 1/576 x y z + + 3 3 2 2 2 3 2 + - 1/1728 y x - 1/864 x y - 1/432 x y z + 1/1728 y x + + 2 3 3 3 2 3 3 + - 1/576 z y x - 1/432 z y x + 1/432 z y x , COEFF(-2, -1, -2) = + + 2 2 3 2 3 2 3 3 + 5/192 z y x - 1/72 z y x - 5/144 z y x + 1/54 z y x + + 3 2 2 2 3 3 3 2 3 + + 7/288 y x z - 7/576 z y x - 7/576 y x z + 7/432 z y x + + 3 2 3 3 3 3 3 + - 7/216 z y x + 7/432 z y x - 7/1728 y x - 7/1728 y x + + 2 2 3 2 2 2 + + 5/192 x y z + 7/864 y x + 1/54 x y z - 1/27 x y z - 5/144 x y z + + 2 2 2 2 2 2 2 2 + + 5/72 x y z - 5/288 x y + 1/36 x y z + 1/108 x y - 1/72 x y z + + 2 2 2 2 3 2 3 + - 5/96 x y z + 5/576 x y - 1/216 x y - 1/216 y x + 5/576 y x , + + 35 2 2 3 2 3 35 2 3 + COEFF(-1, -1, -2) = - --- z y x + 7/72 z y x + --- z y x + 192 144 + + 3 35 3 2 2 49 2 3 3 3 2 3 + - 7/54 z y x - --- y x z + --- z y x + 7/72 y x z - 7/54 z y x + 192 576 + + 35 3 2 49 3 3 3 49 3 3 2 2 + + --- z y x - --- z y x + 7/216 y x + ---- y x - 5/24 x y z + 144 432 1728 + + 35 3 2 2 2 25 2 2 + - --- y x - 4/27 x y z + 5/18 x y z + 5/18 x y z - -- x y z + 576 48 + + 25 2 2 2 2 2 2 25 2 2 2 + + --- x y - 5/24 x y z - 5/72 x y + 1/9 x y z + -- x y z + 192 64 + + 2 3 35 2 3 + - 5/72 x y + 1/27 x y + 7/216 y x - --- y x , COEFF(0, -1, -2) = + 576 + + 2 2 3 2 3 2 3 3 2 + 5/12 z y x - 2/9 z y x - 5/9 z y x + 8/27 z y x - 5/12 y z + + 49 3 2 2 2 3 3 49 3 2 3 3 + + --- y x z - 7/36 z y x - --- z y x + 7/27 z y x + 2/9 y z + 144 108 + + 3 2 3 3 3 2 3 + - 1/18 y - 7/48 y z + 7/36 z y - 7/108 y x + 5/48 y - 7/144 y + + 49 3 2 14 2 35 2 2 35 2 2 2 2 + + --- y x - -- x y z + -- x y z - --- x y + 7/18 x y z + 432 27 36 144 + + 2 35 2 2 2 3 2 3 2 2 2 + + 7/54 x y - -- x y z - 2/27 y x + 5/36 y x - 1/6 y z + 5/16 y z + 48 + + 2 2 3 2 3 2 3 + , COEFF(1, -1, -2) = - 5/12 z y x + 2/9 z y x + 5/9 z y x + + 3 35 3 2 2 2 3 3 3 2 3 + - 8/27 z y x - --- y x z + 7/36 z y x - 7/72 y x z + 7/54 z y x + 144 + + 35 3 2 3 3 3 3 3 2 2 + + --- z y x - 7/27 z y x - 7/216 y x + 7/108 y x + 5/24 x y z + 108 + + 35 3 2 10 2 2 25 2 2 + - --- y x + 4/27 x y z + -- x y z - 5/18 x y z - -- x y z + 432 27 36 + + 25 2 2 2 2 2 2 25 2 2 2 + + --- x y - 5/18 x y z - 5/54 x y - 1/9 x y z + -- x y z + 144 48 + + 2 3 2 3 + + 5/72 x y - 1/27 x y + 2/27 y x - 5/36 y x , COEFF(2, -1, -2) = + + 35 2 2 3 2 3 35 2 3 3 3 2 2 + --- z y x - 7/72 z y x - --- z y x + 7/54 z y x + 7/96 y x z + 192 144 + + 49 2 3 3 3 2 3 3 2 49 3 3 + - --- z y x + 7/576 y x z - 7/432 z y x - 7/72 z y x + --- z y x + 576 432 + + 3 49 3 3 2 2 3 2 + + 7/1728 y x - ---- y x - 5/192 x y z + 7/288 y x - 1/54 x y z + 1728 + + 2 2 2 2 2 2 2 2 + - 1/9 x y z + 5/144 x y z + 5/24 x y z - 5/96 x y + 1/12 x y z + + 2 2 2 2 2 2 + + 1/36 x y + 1/72 x y z - 5/32 x y z - 5/576 x y + 1/216 x y + + 3 35 2 3 2 3 2 3 + - 7/216 y x + --- y x , COEFF(3, -1, -2) = 1/72 z y x + 5/144 z y x + 576 + + 2 2 3 3 2 2 3 2 2 2 + - 5/144 x y z + 1/216 y x - 7/576 y x z - 7/1728 y x + 5/576 x y + + 3 2 2 2 2 2 2 + + 7/432 z y x + 1/54 x y z - 1/216 x y + 5/192 x y z + + 3 3 2 3 3 3 2 3 3 + - 7/432 z y x - 5/576 y x + 7/1728 y x + 7/576 z y x + + 3 2 2 3 2 2 + - 1/54 z y x - 5/192 z y x - 1/72 x y z , COEFF(-2, 0, -2) = + + 2 2 3 2 3 3 3 2 3 2 2 + - 7/144 z y x + 7/108 z y x - 1/36 z x + 1/48 x z - 1/18 y x z + + 2 3 3 3 2 3 3 2 3 3 + + 1/36 z y x + 1/36 y x z - 1/27 z y x + 2/27 z y x - 1/27 z y x + + 2 3 3 2 + + 1/144 x + 1/18 x z - 1/36 x z + 1/108 y x + 1/144 x - 1/72 x + + 3 3 2 2 3 2 2 2 2 + + 1/108 y x - 7/144 x y z - 1/54 y x + 7/108 x y z - 7/54 x y z + + 2 2 2 2 2 2 2 3 2 + + 7/216 x y + 7/72 x y z - 7/432 x y - 7/432 y x + 1/48 x z + + 2 2 49 2 2 3 49 2 3 3 + - 1/24 x z , COEFF(-1, 0, -2) = --- z y x - --- z y x + 7/36 z x + 144 108 + + 3 2 3 2 2 2 3 3 3 2 3 + - 7/48 x z + 5/12 y x z - 7/36 z y x - 2/9 y x z + 8/27 z y x + + 3 2 3 3 2 3 + - 5/9 z y x + 7/27 z y x - 1/18 x - 5/12 x z + 2/9 x z - 2/27 y x + + 3 2 3 3 2 2 3 2 14 2 + - 7/144 x + 5/48 x - 7/108 y x + 7/18 x y z + 5/36 y x - -- x y z + 27 + + 35 2 2 35 2 2 35 2 2 2 2 49 2 3 2 + + -- x y z - --- x y - -- x y z + 7/54 x y + --- y x - 1/6 x z + 36 144 48 432 + + 2 2 2 2 3 28 2 3 3 + + 5/16 x z , COEFF(0, 0, -2) = - 7/9 z y x + -- z y x - 4/9 z x + 27 + + 2 3 2 3 2 2 2 3 3 28 3 2 + + 7/9 y z + 1/3 x z - 7/9 y x z + 4/9 z y x + -- z y x + 27 + + 16 3 3 2 2 3 2 3 + - -- z y x + 7/9 x z + 1/12 - 1/3 z + 1/4 z + 1/3 y z + 1/9 x + 27 + + 2 3 3 3 2 3 3 2 + - 7/36 x - 4/9 z y + 4/27 y x - 7/36 y + 1/9 y - 7/27 y x + + 49 2 2 49 2 2 49 2 2 2 2 3 2 2 + - -- x y z + --- x y + -- x y z - 7/27 y x - 7/12 x z + 27 108 36 + + 2 2 2 2 3 28 2 3 3 + - 7/12 y z , COEFF(1, 0, -2) = 7/9 z y x - -- z y x + 4/9 z x + 27 + + 3 2 3 2 2 2 3 3 3 2 3 + - 1/3 x z + 5/9 y x z - 4/9 z y x + 2/9 y x z - 8/27 z y x + + 20 3 2 16 3 3 2 3 + - -- z y x + -- z y x + 1/18 x - 5/9 x z - 2/9 x z + 2/27 y x + 27 27 + + 3 2 3 3 2 2 3 2 14 2 + - 1/9 x + 5/36 x - 4/27 y x - 7/18 x y z + 5/27 y x + -- x y z + 27 + + 35 2 2 35 2 2 35 2 2 2 2 2 3 2 + + -- x y z - --- x y - -- x y z - 7/54 x y + 7/27 y x + 1/6 x z + 27 108 36 + + 2 2 49 2 2 3 49 2 3 3 + + 5/12 x z , COEFF(2, 0, -2) = - --- z y x + --- z y x - 7/36 z x + 144 108 + + 3 2 3 2 2 2 3 3 3 2 3 + + 7/48 x z - 1/6 y x z + 7/36 z y x - 1/36 y x z + 1/27 z y x + + 3 2 3 3 2 3 + + 2/9 z y x - 7/27 z y x - 1/144 x + 1/6 x z + 1/36 x z - 1/108 y x + + 3 2 3 3 2 2 3 2 + + 7/144 x - 1/24 x + 7/108 y x + 7/144 x y z - 1/18 y x + + 2 2 2 2 2 2 2 2 2 + - 7/108 x y z - 7/18 x y z + 7/72 x y + 7/24 x y z + 7/432 x y + + 49 2 3 2 2 2 2 3 + - --- y x - 1/48 x z - 1/8 x z , COEFF(3, 0, -2) = - 7/108 z y x + 432 + + 3 2 2 2 3 3 2 3 3 3 + - 1/144 x - 7/144 x y z - 1/108 y x + 7/432 y x + 1/27 z y x + + 3 2 2 2 3 3 2 2 2 3 3 + - 1/27 z y x + 7/144 z y x + 1/36 y x z - 1/36 z y x + + 2 2 2 2 3 2 2 3 + + 1/48 x z - 7/432 x y + 1/108 y x + 1/144 x + 1/36 z x + + 2 2 3 2 2 + + 7/108 x y z - 1/48 x z - 1/36 x z, COEFF(-2, 1, -2) = + + 2 2 3 2 3 2 3 3 3 2 2 + 5/144 z y x + 1/72 z y x - 5/108 z y x - 1/54 z y x + 1/18 y x z + + 2 3 3 3 2 3 3 2 3 3 + - 1/36 z y x - 1/36 y x z + 1/27 z y x - 2/27 z y x + 1/27 z y x + + 3 3 3 2 2 3 2 + - 1/108 y x - 1/108 y x + 5/144 x y z + 1/54 y x - 1/54 x y z + + 2 2 2 2 2 2 2 2 + + 1/27 x y z - 5/108 x y z + 5/54 x y z - 5/216 x y - 1/36 x y z + + 2 2 2 2 2 2 + - 1/108 x y + 1/72 x y z - 5/72 x y z + 5/432 x y + 1/216 x y + + 3 2 3 35 2 2 3 + + 1/216 y x + 5/432 y x , COEFF(-1, 1, -2) = - --- z y x + 144 + + 2 3 35 2 3 3 3 2 2 2 3 3 + - 7/72 z y x + --- z y x + 7/54 z y x - 5/12 y x z + 7/36 z y x + 108 + + 3 2 3 3 2 3 3 3 + + 2/9 y x z - 8/27 z y x + 5/9 z y x - 7/27 z y x + 2/27 y x + + 3 3 2 2 3 2 2 + + 7/108 y x - 5/18 x y z - 5/36 y x + 4/27 x y z - 5/18 x y z + + 10 2 25 2 2 25 2 2 2 2 2 + + -- x y z - -- x y z + --- x y + 5/24 x y z + 5/72 x y + 27 36 144 + + 2 25 2 2 2 2 3 35 2 3 + - 1/9 x y z + -- x y z - 5/54 x y - 1/27 x y - 7/216 y x - --- y x + 48 432 + + 2 2 3 2 3 20 2 3 3 + , COEFF(0, 1, -2) = 5/9 z y x + 2/9 z y x - -- z y x - 8/27 z y x + 27 + + 2 3 2 2 2 3 3 28 3 2 16 3 3 + - 5/9 y z + 7/9 y x z - 4/9 z y x - -- z y x + -- z y x + 27 27 + + 3 2 3 3 3 2 3 + - 2/9 y z + 1/18 y - 1/3 y z + 4/9 z y - 4/27 y x + 5/36 y - 1/9 y + + 3 2 14 2 35 2 2 35 2 2 2 2 + + 7/27 y x + -- x y z + -- x y z - --- x y - 7/18 x y z + 27 27 108 + + 2 35 2 2 2 3 2 3 2 2 2 + - 7/54 x y - -- x y z + 2/27 y x + 5/27 y x + 1/6 y z + 5/12 y z + 36 + + 2 2 3 2 3 20 2 3 3 + , COEFF(1, 1, -2) = - 5/9 z y x - 2/9 z y x + -- z y x + 8/27 z y x + 27 + + 3 2 2 2 3 3 3 2 3 20 3 2 + - 5/9 y x z + 4/9 z y x - 2/9 y x z + 8/27 z y x + -- z y x + 27 + + 16 3 3 3 3 3 2 2 3 2 + - -- z y x - 2/27 y x + 4/27 y x + 5/18 x y z - 5/27 y x + 27 + + 10 2 10 2 25 2 2 25 2 2 + - 4/27 x y z - -- x y z - -- x y z - -- x y z + --- x y + 27 27 27 108 + + 2 2 2 2 25 2 2 2 2 + + 5/18 x y z + 5/54 x y + 1/9 x y z + -- x y z + 5/54 x y + 36 + + 3 2 3 35 2 2 3 + + 1/27 x y - 2/27 y x - 5/27 y x , COEFF(2, 1, -2) = --- z y x + 144 + + 2 3 35 2 3 3 3 2 2 2 3 3 + + 7/72 z y x - --- z y x - 7/54 z y x + 1/6 y x z - 7/36 z y x + 108 + + 3 2 3 3 2 3 3 3 + + 1/36 y x z - 1/27 z y x - 2/9 z y x + 7/27 z y x + 1/108 y x + + 3 3 2 2 3 2 2 + - 7/108 y x - 5/144 x y z + 1/18 y x + 1/54 x y z + 1/9 x y z + + 2 2 2 2 2 2 2 2 + + 5/108 x y z + 5/18 x y z - 5/72 x y - 1/12 x y z - 1/36 x y + + 2 2 2 2 2 3 + - 1/72 x y z - 5/24 x y z - 5/432 x y - 1/216 x y + 7/216 y x + + 35 2 3 2 3 2 2 2 3 3 + + --- y x , COEFF(3, 1, -2) = 5/108 z y x + 5/432 x y + 1/36 z y x + 432 + + 3 3 2 3 3 2 2 2 2 3 2 + + 1/108 y x - 5/432 y x - 1/36 y x z + 1/72 x y z - 1/108 y x + + 3 3 2 2 2 2 2 2 + - 1/216 y x + 1/27 z y x - 5/108 x y z + 5/144 x y z + + 3 3 2 2 2 2 3 2 3 + - 1/27 z y x + 1/216 x y - 1/54 x y z - 5/144 z y x - 1/72 z y x + + 3 2 2 3 2 3 + + 1/54 z y x , COEFF(-2, 2, -2) = - 1/96 z y x - 1/576 z y x + + 2 3 3 3 2 2 2 3 3 + + 1/72 z y x + 1/432 z y x - 7/288 y x z + 7/576 z y x + + 3 2 3 3 2 3 3 + + 7/576 y x z - 7/432 z y x + 7/216 z y x - 7/432 z y x + + 3 3 3 2 2 3 2 + + 7/1728 y x + 7/1728 y x - 1/96 x y z - 7/864 y x + 1/432 x y z + + 2 2 2 2 2 2 2 2 + - 1/216 x y z + 1/72 x y z - 1/36 x y z + 1/144 x y + 1/288 x y z + + 2 2 2 2 2 2 + + 1/864 x y - 1/576 x y z + 1/48 x y z - 1/288 x y - 1/1728 x y + + 3 2 3 2 2 3 + - 1/1728 y x - 1/288 y x , COEFF(-1, 2, -2) = 7/96 z y x + + 2 3 2 3 3 35 3 2 2 + + 7/576 z y x - 7/72 z y x - 7/432 z y x + --- y x z + 192 + + 49 2 3 3 3 2 3 35 3 2 49 3 3 + - --- z y x - 7/72 y x z + 7/54 z y x - --- z y x + --- z y x + 576 144 432 + + 3 49 3 3 2 2 35 3 2 + - 7/216 y x - ---- y x + 1/12 x y z + --- y x - 1/54 x y z + 1728 576 + + 2 2 2 2 2 2 2 2 + + 5/144 x y z - 1/9 x y z + 5/24 x y z - 5/96 x y - 5/192 x y z + + 2 2 2 2 2 2 + - 5/576 x y + 1/72 x y z - 5/32 x y z + 1/36 x y + 1/216 x y + + 3 2 3 2 2 3 + + 7/1728 y x + 7/288 y x , COEFF(0, 2, -2) = - 1/6 z y x + + 2 3 2 3 3 2 49 3 2 2 + - 1/36 z y x + 2/9 z y x + 1/27 z y x + 1/6 y z - --- y x z + 144 + + 2 3 3 49 3 2 3 3 + + 7/36 z y x + --- z y x - 7/27 z y x + 1/36 y z - 1/144 y + 108 + + 3 2 3 3 3 2 3 49 3 2 + + 7/48 y z - 7/36 z y + 7/108 y x - 1/24 y + 7/144 y - --- y x + 432 + + 2 2 2 2 2 2 2 2 + - 7/108 x y z - 7/18 x y z + 7/72 x y + 7/144 x y z + 7/432 x y + + 2 2 2 3 2 3 2 2 2 + + 7/24 x y z - 1/108 y x - 1/18 y x - 1/48 y z - 1/8 y z , + + 2 2 3 2 3 2 3 3 + COEFF(1, 2, -2) = 1/6 z y x + 1/36 z y x - 2/9 z y x - 1/27 z y x + + 35 3 2 2 2 3 3 3 2 3 35 3 2 + + --- y x z - 7/36 z y x + 7/72 y x z - 7/54 z y x - --- z y x + 144 108 + + 3 3 3 3 3 2 2 35 3 2 + + 7/27 z y x + 7/216 y x - 7/108 y x - 1/12 x y z + --- y x + 432 + + 2 2 2 2 2 2 + + 1/54 x y z + 5/108 x y z + 1/9 x y z + 5/18 x y z - 5/72 x y + + 2 2 2 2 2 2 2 2 + - 5/144 x y z - 5/432 x y - 1/72 x y z - 5/24 x y z - 1/36 x y + + 3 2 3 2 2 3 + - 1/216 x y + 1/108 y x + 1/18 y x , COEFF(2, 2, -2) = - 7/96 z y x + + 2 3 2 3 3 3 2 2 + - 7/576 z y x + 7/72 z y x + 7/432 z y x - 7/96 y x z + + 49 2 3 3 3 2 3 3 2 49 3 3 + + --- z y x - 7/576 y x z + 7/432 z y x + 7/72 z y x - --- z y x + 576 432 + + 3 49 3 3 2 2 3 2 + - 7/1728 y x + ---- y x + 1/96 x y z - 7/288 y x - 1/432 x y z + 1728 + + 2 2 2 2 2 2 2 2 + - 1/72 x y z - 1/72 x y z - 1/12 x y z + 1/48 x y + 1/96 x y z + + 2 2 2 2 2 2 + + 1/288 x y + 1/576 x y z + 1/16 x y z + 1/288 x y + 1/1728 x y + + 3 2 3 2 3 2 2 + - 7/1728 y x - 7/288 y x , COEFF(3, 2, -2) = 1/288 y x + 1/72 x y z + + 3 2 2 2 3 2 3 2 2 + - 7/432 z y x + 1/96 z y x + 1/576 z y x - 1/576 x y z + + 3 2 3 3 3 2 3 3 + + 7/1728 y x - 1/432 z y x - 7/1728 y x - 7/576 z y x + + 3 2 2 3 3 2 2 2 2 + + 7/576 y x z + 7/432 z y x - 1/96 x y z + 1/432 x y z + + 3 2 2 2 2 3 + + 1/1728 y x - 1/288 x y - 1/1728 x y - 1/72 z y x , COEFF(-2, 3, -2) + + 3 2 3 2 3 2 2 + = - 1/1728 y x - 1/432 x y z + 1/864 y x - 1/216 z y x + 1/1728 x y + + 2 2 2 2 3 2 2 3 2 + - 1/288 x y z + 1/1728 y x - 1/864 x y - 1/576 y x z + + 2 2 3 2 2 3 3 2 2 + + 1/576 x y z + 1/288 y x z + 1/432 z y x + 1/216 x y z + + 2 3 3 3 3 2 3 2 2 3 + - 1/576 z y x - 1/1728 y x - 1/432 z y x + 1/576 z y x + + 3 3 3 3 2 2 + + 1/432 z y x, COEFF(-1, 3, -2) = - 7/432 z y x - 5/192 y x z + + 3 2 2 3 2 3 3 2 + + 5/144 z y x + 1/54 x y z + 1/216 y x - 7/1728 y x - 5/576 y x + + 2 3 3 2 3 3 2 2 2 + + 7/576 z y x + 7/432 z y x - 1/54 z y x + 5/192 x y z + + 2 2 3 2 2 2 2 2 3 3 + - 7/576 z y x - 1/216 x y + 5/576 x y - 1/72 x y z + 7/1728 y x + + 3 2 2 2 2 2 + + 1/72 y x z - 5/144 x y z, COEFF(0, 3, -2) = 1/48 y z + + 3 2 2 3 2 3 3 2 3 + + 7/144 y x z - 1/48 y z + 1/27 z y x - 1/27 z y x + + 2 2 3 3 2 2 2 2 2 3 + + 1/36 z y x + 7/432 y x - 7/144 x y z - 1/36 y z - 1/144 y + + 2 2 2 3 3 2 3 2 2 + + 7/108 x y z - 1/36 z y x + 1/108 y x - 7/432 x y + + 3 2 3 3 3 2 + - 7/108 z y x + 1/36 z y - 1/108 y x + 1/144 y , COEFF(1, 3, -2) = + + 3 3 2 2 3 2 2 3 3 2 + - 1/216 y x - 1/72 y x z - 1/108 y x - 1/36 z y x + 5/108 z y x + + 2 2 2 2 2 2 2 2 2 + - 5/108 x y z + 5/432 x y + 5/144 x y z + 1/72 x y z + + 3 2 2 2 3 3 2 3 3 2 2 + - 5/432 y x + 1/216 x y + 1/36 z y x + 1/27 z y x - 5/144 y x z + + 3 3 3 3 3 2 + + 1/108 y x + 1/54 z y x - 1/27 z y x - 1/54 x y z, COEFF(2, 3, -2) + + 3 2 3 2 2 3 3 + = 1/576 y x z + 1/96 y x z + 1/1728 y x - 1/432 z y x + + 2 3 2 2 2 2 2 2 + - 7/432 z y x + 1/72 x y z - 1/576 x y z - 1/288 x y + + 3 3 2 2 3 3 2 3 + + 7/432 z y x - 1/1728 x y - 7/576 z y x + 7/1728 y x + + 2 2 3 2 3 2 3 3 + + 7/576 z y x + 1/432 x y z + 1/288 y x - 7/1728 y x + + 2 2 2 3 2 2 2 + - 1/96 x y z - 1/72 z y x , COEFF(3, 3, -2) = 1/1728 x y + + 2 3 2 3 3 2 2 2 2 2 3 + + 1/432 z y x + 1/576 z y x + 1/576 x y z - 1/576 z y x + + 3 2 3 3 3 2 2 3 + + 1/432 z y x + 1/1728 y x - 1/1728 y x - 1/1728 y x + + 2 2 3 3 3 2 2 + - 1/432 x y z - 1/432 z y x - 1/576 y x z , COEFF(-2, -2, -1) = + + 2 2 3 2 3 2 3 3 + 7/288 z y x - 7/576 z y x - 5/144 z y x + 5/288 z y x + + 3 2 2 2 3 3 3 2 3 + + 7/288 y x z - 7/576 z y x - 7/576 y x z + 5/288 z y x + + 3 2 3 3 3 3 3 2 2 + - 5/144 z y x + 5/288 z y x - 1/216 y x - 1/216 y x + 7/288 x y z + + 3 2 2 2 2 2 + + 1/108 y x + 5/288 x y z - 5/144 x y z - 5/144 x y z + 5/72 x y z + + 2 2 2 2 2 2 2 2 2 + - 1/54 x y + 7/288 x y z + 1/108 x y - 7/576 x y z - 7/144 x y z + + 2 3 2 3 + + 1/108 x y - 1/216 x y - 1/216 y x + 1/108 y x , COEFF(-1, -2, -1) = + + 49 2 2 3 49 2 3 35 2 3 35 3 35 3 2 2 + - --- z y x + --- z y x + --- z y x - --- z y x - --- y x z + 288 576 144 288 192 + + 49 2 3 3 3 2 3 25 3 2 35 3 3 + + --- z y x + 7/72 y x z - 5/36 z y x + -- z y x - --- z y x + 576 96 288 + + 3 3 3 2 2 3 2 + + 1/27 y x + 7/216 y x - 7/36 x y z - 5/72 y x - 5/36 x y z + + 25 2 2 25 2 2 2 2 35 2 2 + + -- x y z + 5/18 x y z - -- x y z + 5/36 x y - --- x y z + 96 48 192 + + 2 2 35 2 2 2 2 + - 5/72 x y + 7/72 x y z + -- x y z - 2/27 x y + 1/27 x y + 96 + + 3 2 3 2 2 3 + + 7/216 y x - 7/108 y x , COEFF(0, -2, -1) = 7/18 z y x + + 2 3 2 3 3 2 49 3 2 2 + - 7/36 z y x - 5/9 z y x + 5/18 z y x - 5/12 y z + --- y x z + 144 + + 2 3 3 35 3 2 3 3 + - 7/36 z y x - -- z y x + 5/18 z y x + 5/24 y z - 1/18 y + 72 + + 3 2 3 3 3 2 3 3 2 + - 7/48 y z + 5/24 z y - 2/27 y x + 1/9 y - 1/18 y + 7/54 y x + + 35 2 35 2 2 2 2 49 2 2 2 + - -- x y z + -- x y z - 7/27 x y + --- x y z + 7/54 x y + 72 36 144 + + 49 2 2 2 3 2 3 2 2 2 + - -- x y z - 2/27 y x + 4/27 y x - 7/48 y z + 7/24 y z , + 72 + + 2 2 3 2 3 2 3 + COEFF(1, -2, -1) = - 7/18 z y x + 7/36 z y x + 5/9 z y x + + 3 35 3 2 2 2 3 3 3 2 3 + - 5/18 z y x - --- y x z + 7/36 z y x - 7/72 y x z + 5/36 z y x + 144 + + 25 3 2 3 3 3 3 3 2 2 + + -- z y x - 5/18 z y x - 1/27 y x + 2/27 y x + 7/36 x y z + 72 + + 3 2 25 2 2 25 2 2 + - 5/54 y x + 5/36 x y z + -- x y z - 5/18 x y z - -- x y z + 72 36 + + 2 2 35 2 2 2 2 35 2 2 2 + + 5/27 x y - --- x y z - 5/54 x y - 7/72 x y z + -- x y z + 144 72 + + 2 3 2 3 + + 2/27 x y - 1/27 x y + 2/27 y x - 4/27 y x , COEFF(2, -2, -1) = + + 49 2 2 3 49 2 3 35 2 3 35 3 3 2 2 + --- z y x - --- z y x - --- z y x + --- z y x + 7/96 y x z + 288 576 144 288 + + 49 2 3 3 3 2 3 3 2 35 3 3 + - --- z y x + 7/576 y x z - 5/288 z y x - 5/48 z y x + --- z y x + 576 288 + + 3 3 3 2 2 3 2 + + 1/216 y x - 7/216 y x - 7/288 x y z + 1/36 y x - 5/288 x y z + + 2 2 2 2 2 2 2 2 + - 5/48 x y z + 5/144 x y z + 5/24 x y z - 1/18 x y + 7/96 x y z + + 2 2 2 2 2 2 + + 1/36 x y + 7/576 x y z - 7/48 x y z - 1/108 x y + 1/216 x y + + 3 2 3 3 3 3 + - 7/216 y x + 7/108 y x , COEFF(3, -2, -1) = 1/216 y x + 1/216 y x + + 2 3 3 2 3 2 3 + + 7/576 z y x + 5/288 x y z + 5/288 z y x - 5/288 z y x + + 2 3 2 2 2 2 3 2 3 2 + - 1/108 y x + 1/108 x y - 7/288 z y x + 7/576 z y x - 1/216 x y + + 3 2 3 3 2 2 2 2 3 + - 1/216 y x - 5/288 z y x + 7/288 x y z + 5/144 z y x + + 2 2 3 2 2 2 2 + - 5/144 x y z - 7/576 y x z - 7/576 x y z , COEFF(-2, -1, -1) = + + 35 2 2 3 2 3 25 2 3 3 49 3 2 2 + - --- z y x + 7/72 z y x + -- z y x - 5/36 z y x - --- y x z + 192 96 288 + + 49 2 3 3 49 3 2 35 3 35 3 2 35 3 3 + + --- z y x + --- y x z - --- z y x + --- z y x - --- z y x + 576 576 288 144 288 + + 3 3 3 35 2 2 3 2 + + 7/216 y x + 7/216 y x - --- x y z - 7/108 y x - 5/36 x y z + 192 + + 2 25 2 25 2 2 2 2 2 2 + + 5/18 x y z + -- x y z - -- x y z + 5/36 x y - 7/36 x y z + 96 48 + + 2 2 35 2 2 2 2 3 + - 2/27 x y + 7/72 x y z + -- x y z - 5/72 x y + 1/27 x y + 1/27 y x + 96 + + 2 3 245 2 2 3 49 2 3 175 2 3 + - 5/72 y x , COEFF(-1, -1, -1) = --- z y x - -- z y x - --- z y x + 192 72 96 + + 35 3 245 3 2 2 343 2 3 3 49 3 2 35 3 + + -- z y x + --- y x z - --- z y x - -- y x z + -- z y x + 36 192 576 72 36 + + 175 3 2 245 3 3 3 49 3 3 35 2 2 + - --- z y x + --- z y x - 7/27 y x - --- y x + -- x y z + 96 288 216 24 + + 35 3 2 25 2 25 2 125 2 2 25 2 2 + + -- y x + 10/9 x y z - -- x y z - -- x y z + --- x y z - -- x y + 72 12 12 32 24 + + 35 2 2 2 2 175 2 2 2 2 + + -- x y z + 5/9 x y - 7/9 x y z - --- x y z + 5/9 x y - 8/27 x y + 24 64 + + 3 35 2 3 35 2 2 3 2 3 + - 7/27 y x + -- y x , COEFF(0, -1, -1) = - -- z y x + 14/9 z y x + 72 12 + + 2 3 3 2 343 3 2 2 49 2 3 3 + + 25/6 z y x - 20/9 z y x + 25/8 y z - --- y x z + -- z y x + 144 36 + + 245 3 2 35 3 3 49 3 2 35 3 + + --- z y x - -- z y x - 5/3 y z + 4/9 y + -- y z - -- z y + 72 18 48 24 + + 14 3 3 2 3 49 3 2 2 175 2 2 + + -- y x - 5/6 y + 7/18 y - -- y x + 35/9 x y z - --- x y z + 27 54 24 + + 35 2 2 49 2 2 28 2 245 2 2 2 16 3 2 3 + + -- x y - -- x y z - -- x y + --- x y z + -- y x - 10/9 y x + 18 18 27 48 27 + + 2 35 2 2 35 2 2 3 2 3 + + 7/6 y z - -- y z , COEFF(1, -1, -1) = -- z y x - 14/9 z y x + 16 12 + + 2 3 3 245 3 2 2 49 2 3 3 49 3 2 + - 25/6 z y x + 20/9 z y x + --- y x z - -- z y x + -- y x z + 144 36 72 + + 35 3 175 3 2 35 3 3 3 14 3 3 35 2 2 + - -- z y x - --- z y x + -- z y x + 7/27 y x - -- y x - -- x y z + 36 72 18 27 24 + + 35 3 2 2 25 2 125 2 2 25 2 2 + + -- y x - 10/9 x y z - 25/9 x y z + -- x y z + --- x y z - -- x y + 54 12 24 18 + + 35 2 2 20 2 2 175 2 2 2 2 + + -- x y z + -- x y + 7/9 x y z - --- x y z - 5/9 x y + 8/27 x y + 18 27 48 + + 16 3 2 3 245 2 2 3 49 2 3 + - -- y x + 10/9 y x , COEFF(2, -1, -1) = - --- z y x + -- z y x + 27 192 72 + + 175 2 3 35 3 49 3 2 2 343 2 3 3 49 3 2 + + --- z y x - -- z y x - -- y x z + --- z y x - --- y x z + 96 36 96 576 576 + + 35 3 35 3 2 245 3 3 3 49 3 3 + + --- z y x + -- z y x - --- z y x - 7/216 y x + --- y x + 288 48 288 216 + + 35 2 2 3 2 2 25 2 + + --- x y z - 7/36 y x + 5/36 x y z + 5/6 x y z - -- x y z + 192 96 + + 25 2 2 2 2 2 2 2 2 + - -- x y z + 5/12 x y - 7/12 x y z - 2/9 x y - 7/72 x y z + 16 + + 35 2 2 2 2 3 35 2 3 + + -- x y z + 5/72 x y - 1/27 x y + 7/27 y x - -- y x , + 32 72 + + 2 3 2 49 3 2 2 2 3 + COEFF(3, -1, -1) = - 5/36 x y z + 7/216 y x + --- y x z + 5/72 y x + 576 + + 35 3 3 49 2 3 3 35 2 2 3 25 2 3 35 2 2 2 + + --- z y x - --- z y x + --- z y x - -- z y x - --- x y z + 288 576 192 96 192 + + 3 3 35 3 2 2 25 2 2 3 + - 7/216 y x - --- z y x + 1/27 x y + -- x y z - 1/27 y x + 288 96 + + 3 2 2 2 2 2 3 + + 5/36 z y x + 7/72 x y z - 5/72 x y - 7/72 z y x , COEFF(-2, 0, -1) + + 49 2 2 3 35 2 3 3 3 2 3 2 2 + = --- z y x - -- z y x + 5/24 z x - 7/48 x z + 7/18 y x z + 144 72 + + 2 3 3 3 2 3 3 2 3 3 + - 7/36 z y x - 7/36 y x z + 5/18 z y x - 5/9 z y x + 5/18 z y x + + 2 3 3 2 + - 1/18 x - 5/12 x z + 5/24 x z - 2/27 y x - 1/18 x + 1/9 x + + 3 3 49 2 2 3 2 35 2 35 2 2 + - 2/27 y x + --- x y z + 4/27 y x - -- x y z + -- x y z + 144 72 36 + + 2 2 49 2 2 2 2 2 3 2 + - 7/27 x y - -- x y z + 7/54 x y + 7/54 y x - 7/48 x z + 72 + + 2 2 343 2 2 3 245 2 3 35 3 + + 7/24 x z , COEFF(-1, 0, -1) = - --- z y x + --- z y x - -- z x + 144 72 24 + + 49 3 2 35 3 2 2 49 2 3 3 3 2 3 + + -- x z - -- y x z + -- z y x + 14/9 y x z - 20/9 z y x + 48 12 36 + + 3 2 35 3 3 2 16 3 + + 25/6 z y x - -- z y x + 4/9 x + 25/8 x z - 5/3 x z + -- y x + 18 27 + + 3 2 14 3 3 49 2 2 3 2 2 + + 7/18 x - 5/6 x + -- y x - -- x y z - 10/9 y x + 35/9 x y z + 27 18 + + 175 2 2 35 2 2 245 2 2 2 28 2 49 2 3 2 + - --- x y z + -- x y + --- x y z - -- x y - -- y x + 7/6 x z + 24 18 48 27 54 + + 35 2 2 2 2 3 2 3 3 + - -- x z , COEFF(0, 0, -1) = 49/9 z y x - 70/9 z y x + 10/3 z x + 16 + + 2 3 2 3 2 2 2 3 3 3 2 + - 35/6 y z - 7/3 x z + 49/9 y x z - 28/9 z y x - 70/9 z y x + + 3 3 2 2 3 2 3 + + 40/9 z y x - 35/6 x z - 2/3 + 5/2 z - 7/4 z - 7/3 y z - 8/9 x + + 2 3 32 3 3 2 3 56 3 2 + + 14/9 x + 10/3 z y - -- y x + 14/9 y - 8/9 y + -- y x + 27 27 + + 245 2 2 98 2 2 343 2 2 2 56 2 3 49 2 2 49 2 2 + + --- x y z - -- x y - --- x y z + -- y x + -- x z + -- y z , + 18 27 36 27 12 12 + + 2 2 3 2 3 3 3 2 + COEFF(1, 0, -1) = - 49/9 z y x + 70/9 z y x - 10/3 z x + 7/3 x z + + 3 2 2 2 3 3 3 2 3 + - 35/9 y x z + 28/9 z y x - 14/9 y x z + 20/9 z y x + + 3 2 3 3 2 16 3 + + 50/9 z y x - 40/9 z y x - 4/9 x + 25/6 x z + 5/3 x z - -- y x + 27 + + 3 2 32 3 3 49 2 2 40 3 2 2 + + 8/9 x - 10/9 x + -- y x + -- x y z - -- y x - 35/9 x y z + 27 18 27 + + 175 2 2 70 2 2 245 2 2 2 28 2 56 2 3 2 + - --- x y z + -- x y + --- x y z + -- x y - -- y x - 7/6 x z + 18 27 36 27 27 + + 35 2 2 343 2 2 3 245 2 3 35 3 + - -- x z , COEFF(2, 0, -1) = --- z y x - --- z y x + -- z x + 12 144 72 24 + + 49 3 2 3 2 2 49 2 3 3 3 2 3 + - -- x z + 7/6 y x z - -- z y x + 7/36 y x z - 5/18 z y x + 48 36 + + 3 2 35 3 3 2 3 + - 5/3 z y x + -- z y x + 1/18 x - 5/4 x z - 5/24 x z + 2/27 y x + 18 + + 3 2 14 3 3 49 2 2 3 2 35 2 + - 7/18 x + 1/3 x - -- y x - --- x y z + 4/9 y x + -- x y z + 27 144 72 + + 35 2 2 2 2 49 2 2 2 2 49 2 3 2 + + -- x y z - 7/9 x y - -- x y z - 7/54 x y + -- y x + 7/48 x z + 12 24 54 + + 2 2 2 2 3 2 3 3 + + 7/8 x z , COEFF(3, 0, -1) = - 7/48 x z + 7/48 x z - 5/18 z y x + + 3 2 2 2 3 3 2 2 3 35 2 3 + - 7/36 y x z + 7/36 z y x + 5/24 x z - 7/54 y x + -- z y x + 72 + + 3 3 3 3 2 49 2 2 2 49 2 2 3 + - 5/24 z x + 2/27 y x + 5/18 z y x + --- x y z - --- z y x + 144 144 + + 2 3 2 2 2 3 35 2 2 + - 1/18 x - 2/27 y x + 7/54 x y + 1/18 x - -- x y z, + 72 + + 35 2 2 3 2 3 25 2 3 3 + COEFF(-2, 1, -1) = - --- z y x - 7/72 z y x + -- z y x + 5/36 z y x + 144 72 + + 3 2 2 2 3 3 3 2 3 3 2 + - 7/18 y x z + 7/36 z y x + 7/36 y x z - 5/18 z y x + 5/9 z y x + + 3 3 3 3 3 35 2 2 3 2 + - 5/18 z y x + 2/27 y x + 2/27 y x - --- x y z - 4/27 y x + 144 + + 2 25 2 25 2 2 2 2 + + 5/36 x y z - 5/18 x y z + -- x y z - -- x y z + 5/27 x y + 72 36 + + 2 2 2 2 35 2 2 2 2 + + 7/36 x y z + 2/27 x y - 7/72 x y z + -- x y z - 5/54 x y + 72 + + 3 2 3 245 2 2 3 + - 1/27 x y - 1/27 y x - 5/54 y x , COEFF(-1, 1, -1) = --- z y x + 144 + + 49 2 3 175 2 3 35 3 35 3 2 2 49 2 3 3 + + -- z y x - --- z y x - -- z y x + -- y x z - -- z y x + 72 72 36 12 36 + + 3 2 3 3 2 35 3 3 16 3 + - 14/9 y x z + 20/9 z y x - 25/6 z y x + -- z y x - -- y x + 18 27 + + 14 3 3 35 2 2 3 2 25 2 + - -- y x + -- x y z + 10/9 y x - 10/9 x y z + -- x y z + 27 18 12 + + 2 125 2 2 25 2 2 35 2 2 2 + - 25/9 x y z + --- x y z - -- x y - -- x y z - 5/9 x y + 24 18 24 + + 2 175 2 2 2 20 2 3 35 2 3 + + 7/9 x y z - --- x y z + -- x y + 8/27 x y + 7/27 y x + -- y x , + 48 27 54 + + 2 2 3 2 3 2 3 + COEFF(0, 1, -1) = - 35/9 z y x - 14/9 z y x + 50/9 z y x + + 3 2 3 2 2 2 3 3 3 2 + + 20/9 z y x + 25/6 y z - 49/9 y x z + 28/9 z y x + 70/9 z y x + + 3 3 3 2 3 32 3 3 + - 40/9 z y x + 5/3 y z - 4/9 y + 7/3 y z - 10/3 z y + -- y x + 27 + + 2 3 56 3 2 2 175 2 2 70 2 2 + - 10/9 y + 8/9 y - -- y x - 35/9 x y z - --- x y z + -- x y + 27 18 27 + + 49 2 2 28 2 245 2 2 2 16 3 40 2 3 2 + + -- x y z + -- x y + --- x y z - -- y x - -- y x - 7/6 y z + 18 27 36 27 27 + + 35 2 2 2 2 3 2 3 2 3 + - -- y z , COEFF(1, 1, -1) = 35/9 z y x + 14/9 z y x - 50/9 z y x + 12 + + 3 3 2 2 2 3 3 3 2 3 + - 20/9 z y x + 35/9 y x z - 28/9 z y x + 14/9 y x z - 20/9 z y x + + 3 2 3 3 16 3 32 3 3 35 2 2 40 3 2 + - 50/9 z y x + 40/9 z y x + -- y x - -- y x - -- x y z + -- y x + 27 27 18 27 + + 2 2 125 2 2 50 2 2 + + 10/9 x y z + 25/9 x y z + 25/9 x y z + --- x y z - -- x y + 18 27 + + 35 2 2 20 2 2 175 2 2 2 20 2 + - -- x y z - -- x y - 7/9 x y z - --- x y z - -- x y - 8/27 x y + 18 27 36 27 + + 16 3 40 2 3 245 2 2 3 49 2 3 + + -- y x + -- y x , COEFF(2, 1, -1) = - --- z y x - -- z y x + 27 27 144 72 + + 175 2 3 35 3 3 2 2 49 2 3 3 3 2 + + --- z y x + -- z y x - 7/6 y x z + -- z y x - 7/36 y x z + 72 36 36 + + 3 3 2 35 3 3 3 14 3 3 + + 5/18 z y x + 5/3 z y x - -- z y x - 2/27 y x + -- y x + 18 27 + + 35 2 2 3 2 2 25 2 + + --- x y z - 4/9 y x - 5/36 x y z - 5/6 x y z - -- x y z + 144 72 + + 25 2 2 2 2 2 2 2 2 + - -- x y z + 5/9 x y + 7/12 x y z + 2/9 x y + 7/72 x y z + 12 + + 35 2 2 2 2 3 35 2 3 + + -- x y z + 5/54 x y + 1/27 x y - 7/27 y x - -- y x , + 24 54 + + 35 2 2 2 3 3 3 2 + COEFF(3, 1, -1) = - --- x y z + 1/27 y x - 2/27 y x + 5/36 x y z + 144 + + 2 3 3 2 35 2 2 3 2 3 3 3 2 2 + + 5/54 y x + 2/27 y x + --- z y x - 7/36 z y x + 7/36 y x z + 144 + + 2 2 3 2 25 2 3 25 2 2 2 + - 5/54 x y - 5/18 z y x - -- z y x + -- x y z - 1/27 x y + 72 72 + + 2 2 3 3 3 2 3 + - 7/72 x y z - 5/36 z y x + 5/18 z y x + 7/72 z y x , + + 2 2 3 2 3 2 3 + COEFF(-2, 2, -1) = 7/96 z y x + 7/576 z y x - 5/48 z y x + + 3 49 3 2 2 49 2 3 3 49 3 2 35 3 + - 5/288 z y x + --- y x z - --- z y x - --- y x z + --- z y x + 288 576 576 288 + + 35 3 2 35 3 3 3 3 3 2 2 + - --- z y x + --- z y x - 7/216 y x - 7/216 y x + 7/96 x y z + 144 288 + + 3 2 2 2 2 2 + + 7/108 y x - 5/288 x y z + 5/144 x y z - 5/48 x y z + 5/24 x y z + + 2 2 2 2 2 2 2 2 2 + - 1/18 x y - 7/288 x y z - 1/108 x y + 7/576 x y z - 7/48 x y z + + 2 3 2 3 + + 1/36 x y + 1/216 x y + 1/216 y x + 1/36 y x , COEFF(-1, 2, -1) = + + 49 2 2 3 49 2 3 35 2 3 35 3 245 3 2 2 + - -- z y x - --- z y x + -- z y x + --- z y x - --- y x z + 96 576 48 288 192 + + 343 2 3 3 49 3 2 35 3 175 3 2 245 3 3 + + --- z y x + -- y x z - -- z y x + --- z y x - --- z y x + 576 72 36 96 288 + + 3 49 3 3 2 2 35 3 2 25 2 + + 7/27 y x + --- y x - 7/12 x y z - -- y x + 5/36 x y z - -- x y z + 216 72 96 + + 2 25 2 2 2 2 35 2 2 2 + + 5/6 x y z - -- x y z + 5/12 x y + --- x y z + 5/72 x y + 16 192 + + 2 35 2 2 2 2 3 + - 7/72 x y z + -- x y z - 2/9 x y - 1/27 x y - 7/216 y x + 32 + + 2 3 2 2 3 2 3 2 3 + - 7/36 y x , COEFF(0, 2, -1) = 7/6 z y x + 7/36 z y x - 5/3 z y x + + 3 2 343 3 2 2 49 2 3 3 245 3 2 + - 5/18 z y x - 5/4 y z + --- y x z - -- z y x - --- z y x + 144 36 72 + + 35 3 3 49 3 2 35 3 14 3 3 2 + + -- z y x - 5/24 y z + 1/18 y - -- y z + -- z y - -- y x + 1/3 y + 18 48 24 27 + + 3 49 3 2 35 2 35 2 2 2 2 49 2 2 + - 7/18 y + -- y x + -- x y z + -- x y z - 7/9 x y - --- x y z + 54 72 12 144 + + 2 49 2 2 2 3 2 3 2 2 2 + - 7/54 x y - -- x y z + 2/27 y x + 4/9 y x + 7/48 y z + 7/8 y z , + 24 + + 2 2 3 2 3 2 3 3 + COEFF(1, 2, -1) = - 7/6 z y x - 7/36 z y x + 5/3 z y x + 5/18 z y x + + 245 3 2 2 49 2 3 3 49 3 2 35 3 175 3 2 + - --- y x z + -- z y x - -- y x z + -- z y x + --- z y x + 144 36 72 36 72 + + 35 3 3 3 14 3 3 2 2 35 3 2 + - -- z y x - 7/27 y x + -- y x + 7/12 x y z - -- y x - 5/36 x y z + 18 27 54 + + 25 2 2 25 2 2 2 2 35 2 2 + - -- x y z - 5/6 x y z - -- x y z + 5/9 x y + --- x y z + 72 12 144 + + 2 2 35 2 2 2 2 3 + + 5/54 x y + 7/72 x y z + -- x y z + 2/9 x y + 1/27 x y - 2/27 y x + 24 + + 2 3 49 2 2 3 49 2 3 35 2 3 + - 4/9 y x , COEFF(2, 2, -1) = -- z y x + --- z y x - -- z y x + 96 576 48 + + 35 3 49 3 2 2 343 2 3 3 49 3 2 35 3 + - --- z y x + -- y x z - --- z y x + --- y x z - --- z y x + 288 96 576 576 288 + + 35 3 2 245 3 3 3 49 3 3 2 2 + - -- z y x + --- z y x + 7/216 y x - --- y x - 7/96 x y z + 48 288 216 + + 3 2 2 2 2 2 + + 7/36 y x + 5/288 x y z + 5/48 x y z + 5/48 x y z + 5/8 x y z + + 2 2 2 2 2 2 2 2 2 + - 1/6 x y - 7/96 x y z - 1/36 x y - 7/576 x y z - 7/16 x y z + + 2 3 2 3 + - 1/36 x y - 1/216 x y + 7/216 y x + 7/36 y x , COEFF(3, 2, -1) = + + 35 3 2 2 2 3 49 2 3 3 2 2 2 35 3 3 + --- z y x - 7/96 z y x + --- z y x + 7/96 x y z - --- z y x + 288 576 288 + + 2 2 2 3 3 3 2 3 3 2 + + 1/36 x y - 1/36 y x + 7/216 y x + 5/48 z y x - 7/216 y x + + 3 2 3 49 3 2 2 2 + + 5/288 z y x - 7/576 z y x - --- y x z - 5/288 x y z + 576 + + 2 2 2 3 2 2 + - 5/48 x y z + 1/216 x y - 1/216 y x + 7/576 x y z , COEFF(-2, 3, -1) + + 2 2 2 3 2 2 2 3 3 + = 5/288 x y z - 7/576 x y z - 7/288 y x z + 7/576 z y x + + 3 3 2 2 2 2 2 2 + - 5/288 z y x + 5/144 z y x + 1/108 x y - 5/144 x y z - 1/216 x y + + 2 3 3 3 3 3 3 3 2 + + 5/288 z y x - 5/288 z y x + 1/216 y x + 1/216 y x - 1/108 y x + + 2 2 2 3 2 2 3 2 2 3 + + 7/288 x y z + 7/576 y x z - 1/216 y x - 7/576 z y x , + + 35 3 3 2 2 25 2 2 3 + COEFF(-1, 3, -1) = --- z y x + 7/72 x y z + -- x y z + 5/36 z y x + 288 96 + + 2 3 49 2 2 3 3 3 35 3 2 2 3 + + 7/216 y x + --- z y x - 7/216 y x + --- y x z - 1/27 y x + 576 192 + + 49 2 3 3 25 3 2 3 2 35 2 2 2 35 2 3 + - --- z y x - -- z y x - 7/72 y x z - --- x y z - --- z y x + 576 96 192 288 + + 3 2 2 2 2 2 + + 5/72 y x - 5/72 x y - 5/36 x y z + 1/27 x y , COEFF(0, 3, -1) = + + 2 2 3 3 3 3 2 2 2 3 + - 7/36 z y x + 2/27 y x + 1/18 y - 7/48 y z + 5/18 z y x + + 3 3 2 49 3 2 2 2 3 35 2 2 + - 5/24 z y - 7/54 y x - --- y x z - 2/27 y x - -- x y z + 144 72 + + 3 3 3 2 35 3 2 2 2 2 + - 5/18 z y x + 7/48 y z + -- z y x + 7/54 x y + 5/24 y z + 72 + + 2 49 2 2 2 2 3 3 2 2 + - 1/18 y + --- x y z + 7/36 z y x , COEFF(1, 3, -1) = - 5/54 x y + 144 + + 2 3 2 2 3 3 2 2 3 35 3 2 2 + - 5/18 z y x + 7/36 z y x + 5/54 y x + 2/27 y x + --- y x z + 144 + + 2 2 2 2 35 2 2 2 3 2 + - 7/72 x y z - 1/27 x y + 5/36 x y z - --- x y z + 7/72 y x z + 144 + + 2 3 3 25 2 2 25 3 2 3 3 3 + - 7/36 z y x + -- x y z - -- z y x - 5/36 z y x - 2/27 y x + 72 72 + + 3 3 3 49 2 3 3 2 2 2 + + 1/27 y x + 5/18 z y x , COEFF(2, 3, -1) = --- z y x + 7/96 x y z + 576 + + 2 2 2 3 2 3 2 3 2 2 + + 1/216 x y + 1/36 x y - 7/576 y x z - 1/36 y x - 7/96 y x z + + 3 3 2 3 3 35 2 3 2 2 + + 5/288 z y x + 5/48 z y x + 7/216 y x + --- z y x - 5/48 x y z + 288 + + 49 2 2 3 3 35 3 3 2 3 2 2 + - --- z y x - 1/216 y x - --- z y x - 7/216 y x + 7/576 x y z + 576 288 + + 2 3 3 3 2 + - 5/288 x y z, COEFF(3, 3, -1) = 5/288 z y x + 1/216 y x + + 2 2 2 2 2 2 3 2 2 3 + + 5/288 x y z - 7/576 x y z - 5/288 z y x + 7/576 z y x + + 3 3 3 2 3 2 2 2 3 2 2 + - 1/216 y x - 5/288 z y x + 7/576 y x z + 1/216 y x - 1/216 x y + + 2 3 3 2 2 3 2 + - 7/576 z y x , COEFF(-2, -2, 0) = - 1/18 x y z + 7/108 z y x + + 2 2 3 2 2 3 2 2 + + 7/108 x y z - 7/216 x y z + 1/36 z y x - 1/18 z y x - 7/54 x y z + + 2 2 2 2 3 3 2 2 + + 1/36 x y z + 1/9 x y z - 7/216 z y x - 1/18 y x z + + 2 3 3 2 2 2 3 3 2 + + 1/36 z y x - 1/18 x y z + 7/108 z y x + 1/36 y x z + + 3 3 2 3 + - 7/216 z y x + 7/108 x y z - 7/216 z y x, COEFF(-1, -2, 0) = + + 49 3 2 2 2 3 2 2 3 + 7/27 x y z + --- z y x - 5/6 x y z + 7/27 z y x + 7/18 z y x + 216 + + 2 2 35 2 2 3 2 2 3 2 2 3 3 + + 4/9 x y z + -- x y z + 5/12 y x z - 2/9 y x z - 7/36 z y x + 36 + + 35 2 35 3 2 49 3 3 2 3 2 + - -- x y z - -- z y x + --- z y x - 7/36 z y x - 2/9 x y z + 72 72 216 + + 49 2 3 14 2 2 2 28 2 3 + - --- z y x - -- x y z + 5/12 x y z , COEFF(0, -2, 0) = -- z y x + 108 27 27 + + 49 2 2 3 2 2 2 2 2 49 3 2 3 2 + - -- x y z - 7/9 y x z + 14/9 x y z + -- z y x + 1/3 y z + 27 54 + + 14 3 3 2 2 2 49 2 2 + - 7/18 y z - -- z y x - 7/9 x y z + 7/9 y z + -- x y z + 1/3 y z + 27 54 + + 2 2 3 2 3 2 3 3 2 2 3 + - 2/3 y z - 7/18 z y + 4/9 z y x + 4/9 z y x - 8/9 z y x + + 14 3 35 3 2 28 2 3 2 + - -- z y x , COEFF(1, -2, 0) = - -- z y x - -- z y x + 2/9 x y z + 27 54 27 + + 14 3 3 14 2 3 2 14 3 3 2 2 + + -- z y x + -- x y z + 2/9 y x z + -- z y x + 5/9 y x z + 27 27 27 + + 3 35 2 2 2 2 2 2 3 + - 7/27 z y x + -- x y z + 5/9 x y z - 7/27 x y z + 8/9 z y x + 27 + + 35 2 2 3 3 2 2 2 2 2 2 3 + - -- x y z - 4/9 z y x - 10/9 x y z - 4/9 x y z - 4/9 z y x , + 54 + + 2 2 3 49 3 3 + COEFF(2, -2, 0) = - 7/108 x y z + 7/36 z y x - --- z y x + 216 + + 3 2 3 2 3 3 2 2 2 + + 7/36 z y x + 7/216 z y x + 7/36 z y x + 1/3 x y z + + 3 2 2 3 2 2 2 2 + - 1/6 y x z + 7/216 x y z - 1/36 y x z - 1/6 x y z - 1/36 x y z + + 2 2 3 2 2 49 3 2 2 2 + - 7/18 z y x - 7/18 x y z - --- z y x + 7/36 x y z + 1/18 x y z + 216 + + 49 2 3 2 3 3 2 + + --- z y x , COEFF(3, -2, 0) = - 7/108 z y x - 7/216 z y x + 108 + + 2 2 3 2 2 3 2 2 2 3 + + 1/18 z y x + 1/36 x y z + 1/36 y x z - 1/36 z y x + + 2 2 2 2 3 3 3 + - 1/18 x y z - 7/216 x y z + 7/216 z y x + 7/216 z y x + + 2 3 3 2 2 2 2 3 + - 1/36 z y x + 7/108 x y z, COEFF(-2, -1, 0) = 5/12 z y x + + 3 2 2 2 3 3 3 2 2 2 35 2 2 + + 7/18 y x z - 7/36 z y x - 7/36 y x z + 5/12 x y z + -- x y z + 36 + + 35 2 49 3 49 3 2 35 2 3 + - -- x y z + 7/27 x y z + --- z y x - --- z y x - -- z y x + 72 216 108 72 + + 2 2 3 2 2 2 3 49 3 3 + - 2/9 x y z - 2/9 z y x - 5/6 x y z + 7/27 z y x + --- z y x + 216 + + 2 2 14 2 2 2 + + 4/9 x y z - -- x y z, COEFF(-1, -1, 0) = - 10/3 x y z + 27 + + 2 2 2 49 2 3 3 245 3 2 2 2 2 + + 25/4 x y z + -- z y x + --- z y x + 16/9 x y z - 10/3 x y z + 36 72 + + 245 2 3 35 3 2 2 49 3 2 49 3 + + --- z y x - -- y x z - -- z y x + 35/9 x y z - -- z y x + 72 12 27 27 + + 56 35 2 2 3 2 3 3 2 2 + - -- x y z - -- z y x + 14/9 z y x + 14/9 y x z + 35/9 x y z + 27 12 + + 175 2 2 343 3 3 2 196 2 + - --- x y z - --- z y x , COEFF(0, -1, 0) = - 8/3 y z - --- x y z + 24 216 27 + + 245 2 2 98 3 3 3 2 343 3 2 + + --- x y z + -- z y x - 7/3 y z - --- z y x + 28/9 y z + 18 27 54 + + 112 3 2 2 2 49 3 2 2 2 + + --- z y x + 56/9 x y z - 35/6 y z + -- z y - 35/3 x y z + 27 18 + + 3 2 2 2 3 2 3 2 2 2 2 3 + + 49/9 y x z - 70/9 z y x - 32/9 z y x + 5 y z + 20/3 z y x + + 2 3 3 2 56 + - 28/9 z y x , COEFF(1, -1, 0) = - 16/9 x y z + -- x y z + 27 + + 3 2 2 2 140 2 49 3 112 3 + - 35/9 y x z - 35/9 x y z + --- x y z + -- z y x - --- z y x + 27 27 27 + + 2 2 2 3 245 3 2 2 3 3 2 + - 40/9 x y z + 70/9 z y x + --- z y x + 32/9 z y x - 14/9 y x z + 54 + + 2 2 175 2 2 98 3 3 2 2 3 2 3 3 + + 10/3 x y z - --- x y z - -- z y x - 20/3 z y x + 28/9 z y x + 18 27 + + 2 2 2 343 3 3 35 2 2 35 2 2 3 + + 25/3 x y z , COEFF(2, -1, 0) = --- z y x + -- x y z + -- z y x + 216 12 12 + + 245 2 3 2 2 3 3 2 2 2 2 + - --- z y x + 2/9 x y z - 14/9 z y x + 7/6 y x z + 4/3 x y z + 72 + + 49 2 3 3 3 2 49 3 2 + - -- z y x + 7/36 y x z - --- z y x - 7/27 x y z - 14/9 x y z + 36 216 + + 35 2 2 2 2 2 2 49 3 49 3 2 + + -- x y z - 5/12 x y z - 5/2 x y z + -- z y x - -- z y x , + 72 27 36 + + 2 3 2 2 3 3 49 3 2 + COEFF(3, -1, 0) = 2/9 z y x - 5/12 z y x - 7/27 z y x + --- z y x + 216 + + 35 2 2 3 2 2 35 2 3 2 3 3 2 2 + - -- x y z - 7/36 y x z + -- z y x + 7/36 z y x - 2/9 x y z + 72 72 + + 2 2 2 49 3 3 2 + + 5/12 x y z - --- z y x + 7/27 x y z, COEFF(-2, 0, 0) = - 7/18 x z + 216 + + 2 2 2 3 2 14 3 3 2 2 + + 14/9 x y z + 1/3 x z - -- z y x + 7/9 x z + 1/3 x z + 27 + + 3 2 2 2 2 3 28 3 2 3 2 2 2 + - 8/9 y x z - 7/9 z y x + -- z y x + 4/9 y x z - 7/9 x y z + 27 + + 14 3 49 2 3 2 3 3 2 2 3 + - -- z y x + -- z y x + 4/9 z y x - 2/3 x z - 7/18 z x + 27 54 + + 49 2 49 2 2 343 2 3 3 2 + + -- x y z - -- x y z, COEFF(-1, 0, 0) = - --- z y x - 32/9 y x z + 54 27 54 + + 98 3 3 2 2 2 49 3 112 3 2 2 + + -- z y x + 5 x z - 8/3 x z + -- z x + --- z y x + 56/9 x y z + 27 18 27 + + 245 2 2 2 2 2 2 3 2 2 3 3 + + --- x y z - 35/3 x y z - 35/6 x z - 70/9 z y x - 28/9 z y x + 18 + + 3 2 2 2 3 3 2 2 196 2 + - 7/3 x z + 28/9 x z + 49/9 z y x + 20/3 y x z - --- x y z, + 27 + + 3 224 3 3 3 2 + COEFF(0, 0, 0) = - 14/3 z - 56/9 z x - --- z y x + 16/3 x z + 27 + + 2 2 2 2 392 3 2 686 2 2 2 + - 28/3 y z - 28/3 x z + --- z y x - --- x y z + 4 z + 27 27 + + 3 2 2 2 3 3 2 3 3 2 + - 112/9 y x z + 64/9 z y x + 98/9 y z - 56/9 z y + 16/3 y z + + 2 2 2 2 2 3 392 2 3 2 + + 196/9 x y z - 112/9 z y x + --- z y x + 98/9 x z, + 27 + + 2 2 2 3 2 3 2 + COEFF(1, 0, 0) = 8/3 x z - 56/9 x y z + 32/9 y x z - 16/3 x z + + 3 2 2 3 2 280 3 2 2 2 2 + + 80/9 y x z + 56/9 z x - 70/9 x z - --- z y x - 140/9 x y z + 27 + + 224 3 3 196 2 112 3 2 2 + + --- z y x + --- x y z - --- z y x + 20/3 x z - 28/9 x z + 27 27 27 + + 2 3 3 392 2 3 490 2 2 2 2 3 + - 64/9 z y x - --- z y x + --- x y z + 112/9 z y x , + 27 27 + + 2 2 2 2 2 14 3 + COEFF(2, 0, 0) = 14/3 x y z + 7/9 x y z + 7/18 x z + -- z y x + 27 + + 2 2 3 3 2 2 49 2 98 3 3 2 + - 49/9 z y x - 8/3 y x z - -- x y z - -- z y x + 7/3 x z + 54 27 + + 2 2 2 2 3 2 3 2 2 3 3 + - 2 x z - 49/9 x y z - 4/9 y x z + 7/3 x z + 28/9 z y x + + 2 3 2 343 2 3 49 3 + - 1/3 x z + 28/9 z y x + --- z y x - -- z x , COEFF(3, 0, 0) = + 54 18 + + 2 2 2 2 2 2 2 3 2 3 3 3 2 2 + 1/3 x z - 7/9 x y z + 7/9 z y x - 4/9 z y x + 4/9 y x z + + 49 2 3 3 2 3 14 3 3 14 3 2 2 + - -- z y x - 1/3 x z + 7/18 z x + -- z y x - -- z y x - 7/18 x z + 54 27 27 + + 49 2 2 14 2 35 2 2 35 2 3 + + -- x y z, COEFF(-2, 1, 0) = -- x y z + -- x y z - -- z y x + 54 27 27 54 + + 2 3 3 2 28 3 2 2 2 3 + - 7/27 x y z - 4/9 z y x + 2/9 x y z - -- z y x + 5/9 z y x + 27 + + 2 3 2 2 3 2 3 2 2 3 + + 2/9 z y x + 5/9 x y z - 4/9 y x z + 8/9 y x z - 7/27 z y x + + 2 2 35 2 14 3 3 14 3 2 2 2 + - 4/9 x y z - -- x y z + -- z y x + -- z y x - 10/9 x y z , + 54 27 27 + + 2 3 3 2 175 2 2 56 + COEFF(-1, 1, 0) = 28/9 z y x - 35/9 x y z - --- x y z + -- x y z + 18 27 + + 49 3 2 2 3 2 245 2 3 2 + + -- z y x + 10/3 x y z + 32/9 y x z + --- z y x - 16/9 x y z + 27 54 + + 2 2 3 98 3 3 2 2 140 2 2 2 2 + - 35/9 z y x - -- z y x - 40/9 x y z + --- x y z + 25/3 x y z + 27 27 + + 3 2 112 3 3 2 2 2 3 + + 70/9 z y x - --- z y x - 20/3 y x z - 14/9 z y x , COEFF(0, 1, 0) + 27 + + 2 3 3 2 2 2 2 3 2 3 3 + = 32/9 z y x + 112/9 y x z - 28/9 y z + 80/9 z y x - 64/9 z y x + + 490 2 2 3 224 3 3 112 3 2 2 + + --- x y z + 56/9 z y + --- z y x - --- z y x - 56/9 x y z + 27 27 27 + + 2 392 3 2 2 2 196 2 2 + + 8/3 y z - --- z y x + 20/3 y z + --- x y z - 70/9 y z + 27 27 + + 280 2 3 3 2 2 2 2 + - --- z y x - 16/3 y z - 140/9 x y z , COEFF(1, 1, 0) = + 27 + + 2 3 3 3 2 140 2 2 112 3 + 64/9 z y x - 32/9 y x z - --- x y z + 16/9 x y z + --- z y x + 27 27 + + 280 2 3 350 2 2 2 2 224 3 3 140 2 + + --- z y x - --- x y z + 40/9 x y z - --- z y x - --- x y z + 27 27 27 27 + + 56 2 2 112 3 2 2 3 2 2 2 + - -- x y z + 40/9 x y z + --- z y x - 80/9 z y x + 100/9 x y z + 27 27 + + 3 2 2 280 3 2 2 3 + - 80/9 y x z + --- z y x - 32/9 z y x , COEFF(2, 1, 0) = + 27 + + 3 2 2 245 2 3 2 2 2 2 2 2 2 + 8/3 y x z - --- z y x - 4/3 x y z - 10/3 x y z - 5/9 x y z + 54 + + 2 3 2 2 3 98 3 3 2 + + 14/9 z y x + 35/9 z y x + -- z y x + 14/9 x y z + 7/27 x y z + 27 + + 3 2 2 3 3 14 3 3 2 35 2 + - 28/9 z y x - 28/9 z y x - -- z y x + 4/9 y x z + -- x y z + 27 54 + + 2 2 2 49 3 14 3 2 + + 35/9 x y z - 2/9 x y z - -- z y x , COEFF(3, 1, 0) = -- z y x + 27 27 + + 2 2 2 2 2 35 2 3 2 2 3 + + 5/9 x y z + 2/9 x y z + -- z y x - 7/27 x y z - 2/9 z y x + 54 + + 3 2 2 35 2 2 2 2 3 2 3 3 14 3 3 + - 4/9 y x z - -- x y z - 5/9 z y x + 4/9 z y x - -- z y x + 54 27 + + 3 3 2 2 2 2 + + 7/27 z y x , COEFF(-2, 2, 0) = 7/216 z y x - 1/36 x y z + 1/3 x y z + + 2 2 3 2 2 3 2 49 3 2 + - 7/18 x y z - 7/18 y x z + 7/216 x y z + 7/36 y x z + --- z y x + 108 + + 2 2 3 2 3 2 2 2 + + 7/36 x y z - 1/36 z y x + 7/36 z y x - 7/108 x y z + 1/18 x y z + + 2 3 3 49 3 3 2 2 49 3 2 2 3 + + 7/36 z y x - --- z y x - 1/6 x y z - --- z y x - 1/6 z y x , + 216 216 + + 35 2 2 2 2 2 3 + COEFF(-1, 2, 0) = -- x y z + 2/9 x y z - 5/12 x y z + 7/36 z y x + 72 + + 35 3 2 2 245 3 2 35 2 2 3 2 2 2 2 + + -- y x z - --- z y x + -- x y z - 14/9 y x z - 5/2 x y z + 12 72 12 + + 2 2 2 3 49 3 49 2 3 3 + - 14/9 x y z - 7/27 x y z + 7/6 z y x - --- z y x - -- z y x + 216 36 + + 49 3 49 2 3 2 2 343 3 3 + + -- z y x - -- z y x + 4/3 x y z + --- z y x , COEFF(0, 2, 0) = + 27 36 216 + + 2 2 2 3 2 98 3 3 2 2 2 3 2 + -2 y z + 28/9 z y x - 1/3 y z - -- z y x + 14/3 x y z + 7/3 y z + 27 + + 2 2 49 2 343 3 2 14 3 2 2 3 + - 49/9 x y z - -- x y z + --- z y x + -- z y x - 8/3 z y x + 54 54 27 + + 3 2 2 2 2 3 49 3 + + 7/18 y z - 49/9 y x z + 7/3 y z - 4/9 z y x - -- z y + 18 + + 2 2 2 3 3 2 2 + + 7/9 x y z + 28/9 z y x , COEFF(1, 2, 0) = - 4/3 x y z + + 2 2 2 3 245 3 2 35 2 2 + + 35/9 x y z - 28/9 z y x - --- z y x + -- x y z + 14/9 x y z + 54 54 + + 3 2 2 3 3 49 3 2 3 + + 14/9 y x z - 28/9 z y x + 7/27 x y z - -- z y x + 4/9 z y x + 27 + + 2 2 2 2 2 3 2 2 14 3 2 2 3 + - 10/3 x y z - 5/9 x y z + 35/9 y x z - -- z y x + 8/3 z y x + 27 + + 2 98 3 3 2 2 2 2 2 + - 2/9 x y z + -- z y x , COEFF(2, 2, 0) = 1/6 x y z + x y z + 27 + + 2 2 3 2 3 2 2 3 2 49 3 + - 7/6 z y x - 7/36 z y x - 7/6 x y z - 7/36 y x z + --- z y x + 216 + + 3 2 2 2 2 49 3 + - 7/6 y x z - 7/216 x y z - 7/36 x y z - 7/36 x y z + --- z y x + 216 + + 343 3 3 2 49 2 3 3 49 3 2 49 2 3 + - --- z y x + 1/36 x y z + -- z y x + -- z y x + -- z y x + 216 36 36 36 + + 2 2 2 2 2 3 + + 1/6 x y z , COEFF(3, 2, 0) = 7/216 x y z + 1/6 z y x + + 2 3 3 49 3 2 2 3 2 2 49 3 3 + - 7/36 z y x - --- z y x + 1/36 z y x - 1/36 x y z + --- z y x + 216 216 + + 3 2 2 2 2 2 3 2 2 + + 7/36 y x z - 1/6 x y z - 7/216 z y x + 7/36 x y z + + 2 3 3 2 2 2 + - 7/36 z y x , COEFF(-2, 3, 0) = - 7/108 z y x + 7/108 x y z + + 2 3 3 3 2 2 2 2 2 2 2 3 + - 1/36 z y x + 1/18 y x z - 1/18 x y z + 1/36 z y x + + 2 3 2 3 3 3 + - 7/216 z y x - 7/216 x y z + 7/216 z y x + 7/216 z y x + + 3 2 2 2 35 2 2 + - 1/36 y x z + 1/36 x y z , COEFF(-1, 3, 0) = - -- x y z + 72 + + 3 2 2 2 2 2 35 3 2 49 2 3 2 3 3 + - 5/12 y x z + 5/12 x y z + -- z y x + --- z y x + 7/36 z y x + 72 216 + + 2 3 2 2 2 2 2 3 49 3 3 + + 7/27 x y z + 2/9 y x z - 2/9 x y z - 7/36 z y x - --- z y x + 216 + + 3 2 2 2 49 3 2 3 2 2 + - 7/27 z y x, COEFF(0, 3, 0) = - 7/9 x y z - -- z y x + 7/9 y x z + 54 + + 2 2 3 14 3 3 2 49 2 2 3 2 + + 4/9 z y x + -- z y x - 7/18 y z + -- x y z - 1/3 y z + 27 54 + + 14 2 3 2 3 3 2 2 3 + - -- z y x - 4/9 z y x + 1/3 y z + 7/18 z y , COEFF(1, 3, 0) = + 27 + + 14 2 3 35 3 2 14 3 3 2 2 35 2 2 + -- z y x + -- z y x - -- z y x + 2/9 x y z - -- x y z + 27 54 27 54 + + 2 3 2 2 2 2 2 3 3 3 + - 7/27 x y z - 2/9 y x z + 5/9 x y z + 4/9 z y x + 7/27 z y x + + 3 2 2 2 2 3 3 2 + - 5/9 y x z - 4/9 z y x , COEFF(2, 3, 0) = - 7/36 z y x + + 2 2 2 49 3 3 49 2 3 3 2 2 + - 1/6 x y z + --- z y x - --- z y x - 7/216 z y x - 1/36 x y z + 216 216 + + 2 3 2 2 2 2 2 3 + + 7/216 x y z + 1/36 y x z + 7/36 x y z + 7/36 z y x + + 2 3 3 3 2 2 2 3 3 + - 7/36 z y x + 1/6 y x z , COEFF(3, 3, 0) = 1/36 z y x + + 2 3 3 2 2 2 2 2 2 + + 7/216 z y x + 7/216 z y x - 7/216 x y z + 1/36 x y z + + 3 2 2 3 3 2 2 3 + - 1/36 y x z - 7/216 z y x - 1/36 z y x , COEFF(-2, -2, 1) = + + 2 2 3 2 3 2 3 3 3 2 2 + 1/18 z y x - 1/36 z y x - 5/108 z y x + 5/216 z y x + 1/18 y x z + + 2 3 3 3 2 3 3 2 + - 1/36 z y x - 1/36 y x z + 5/216 z y x - 5/108 z y x + + 3 3 3 3 3 2 2 3 2 + + 5/216 z y x + 1/216 y x + 1/216 y x + 1/18 x y z - 1/108 y x + + 2 2 2 2 2 2 + + 5/216 x y z - 5/108 x y z - 5/108 x y z + 5/54 x y z + 1/54 x y + + 2 2 2 2 2 2 2 2 + + 1/18 x y z - 1/108 x y - 1/36 x y z - 1/9 x y z - 1/108 x y + + 3 2 3 2 2 3 + + 1/216 x y + 1/216 y x - 1/108 y x , COEFF(-1, -2, 1) = - 7/18 z y x + + 2 3 35 2 3 35 3 3 2 2 2 3 3 + + 7/36 z y x + --- z y x - --- z y x - 5/12 y x z + 7/36 z y x + 108 216 + + 3 2 3 25 3 2 35 3 3 3 + + 2/9 y x z - 5/27 z y x + -- z y x - --- z y x - 1/27 y x + 72 216 + + 3 3 2 2 3 2 25 2 + - 7/216 y x - 4/9 x y z + 5/72 y x - 5/27 x y z + -- x y z + 72 + + 10 2 25 2 2 2 2 2 2 2 + + -- x y z - -- x y z - 5/36 x y - 5/12 x y z + 5/72 x y + 27 36 + + 2 2 2 2 2 3 + + 2/9 x y z + 5/6 x y z + 2/27 x y - 1/27 x y - 7/216 y x + + 2 3 2 2 3 2 3 20 2 3 + + 7/108 y x , COEFF(0, -2, 1) = 8/9 z y x - 4/9 z y x - -- z y x + 27 + + 10 3 2 3 2 2 2 3 3 35 3 2 + + -- z y x - 5/9 y z + 7/9 y x z - 4/9 z y x - -- z y x + 27 54 + + 10 3 3 3 2 3 3 3 + + -- z y x + 5/18 y z + 1/18 y - 1/3 y z + 5/18 z y + 2/27 y x + 27 + + 2 3 3 2 35 2 35 2 2 2 2 + - 1/9 y + 1/18 y - 7/54 y x - -- x y z + -- x y z + 7/27 x y + 54 27 + + 2 2 2 2 2 2 3 2 3 + + 7/9 x y z - 7/54 x y - 14/9 x y z + 2/27 y x - 4/27 y x + + 2 2 2 2 2 3 2 3 + - 1/3 y z + 2/3 y z , COEFF(1, -2, 1) = - 8/9 z y x + 4/9 z y x + + 20 2 3 10 3 3 2 2 2 3 3 3 2 + + -- z y x - -- z y x - 5/9 y x z + 4/9 z y x - 2/9 y x z + 27 27 + + 3 25 3 2 10 3 3 3 3 3 + + 5/27 z y x + -- z y x - -- z y x + 1/27 y x - 2/27 y x + 54 27 + + 2 2 3 2 25 2 10 2 + + 4/9 x y z + 5/54 y x + 5/27 x y z + -- x y z - -- x y z + 54 27 + + 25 2 2 2 2 2 2 2 2 + - -- x y z - 5/27 x y - 5/9 x y z + 5/54 x y - 2/9 x y z + 27 + + 2 2 2 2 3 2 3 + + 10/9 x y z - 2/27 x y + 1/27 x y - 2/27 y x + 4/27 y x , + + 2 2 3 2 3 35 2 3 35 3 + COEFF(2, -2, 1) = 7/18 z y x - 7/36 z y x - --- z y x + --- z y x + 108 216 + + 3 2 2 2 3 3 3 2 3 + + 1/6 y x z - 7/36 z y x + 1/36 y x z - 5/216 z y x + + 3 2 35 3 3 3 3 3 2 2 + - 5/36 z y x + --- z y x - 1/216 y x + 7/216 y x - 1/18 x y z + 216 + + 3 2 2 2 2 2 + - 1/36 y x - 5/216 x y z - 5/36 x y z + 5/108 x y z + 5/18 x y z + + 2 2 2 2 2 2 2 2 2 + + 1/18 x y + 1/6 x y z - 1/36 x y + 1/36 x y z - 1/3 x y z + + 2 3 2 3 + + 1/108 x y - 1/216 x y + 7/216 y x - 7/108 y x , COEFF(3, -2, 1) = + + 3 3 2 2 2 3 2 3 + - 1/216 y x - 1/108 x y + 5/216 x y z - 5/216 z y x + 1/108 y x + + 2 3 2 2 3 2 2 2 3 2 + + 1/36 z y x - 1/36 x y z + 5/216 z y x - 1/18 z y x + 1/216 x y + + 2 2 2 2 3 2 3 3 3 + + 1/18 x y z + 5/108 z y x + 1/36 z y x - 1/216 y x + + 3 3 3 2 3 2 2 2 2 + - 5/216 z y x + 1/216 y x - 1/36 y x z - 5/108 x y z, + + 2 2 3 2 3 25 2 3 3 + COEFF(-2, -1, 1) = - 5/12 z y x + 2/9 z y x + -- z y x - 5/27 z y x + 72 + + 3 2 2 2 3 3 3 2 35 3 35 3 2 + - 7/18 y x z + 7/36 z y x + 7/36 y x z - --- z y x + --- z y x + 216 108 + + 35 3 3 3 3 3 2 2 3 2 + - --- z y x - 7/216 y x - 7/216 y x - 5/12 x y z + 7/108 y x + 216 + + 10 2 25 2 25 2 2 2 2 + - 5/27 x y z + -- x y z + -- x y z - -- x y z - 5/36 x y + 27 72 36 + + 2 2 2 2 2 2 2 2 + - 4/9 x y z + 2/27 x y + 2/9 x y z + 5/6 x y z + 5/72 x y + + 3 2 3 35 2 2 3 + - 1/27 x y - 1/27 y x + 5/72 y x , COEFF(-1, -1, 1) = -- z y x + 12 + + 2 3 175 2 3 35 3 35 3 2 2 49 2 3 3 + - 14/9 z y x - --- z y x + -- z y x + -- y x z - -- z y x + 72 27 12 36 + + 3 2 35 3 175 3 2 245 3 3 3 + - 14/9 y x z + -- z y x - --- z y x + --- z y x + 7/27 y x + 27 72 216 + + 49 3 3 2 2 35 3 2 40 2 + + --- y x + 10/3 x y z - -- y x + -- x y z - 25/9 x y z + 216 72 27 + + 2 125 2 2 25 2 2 2 2 2 + - 25/9 x y z + --- x y z + -- x y + 10/3 x y z - 5/9 x y + 24 24 + + 2 2 2 2 2 3 35 2 3 + - 16/9 x y z - 25/4 x y z - 5/9 x y + 8/27 x y + 7/27 y x - -- y x + 72 + + 2 2 3 2 3 2 3 + , COEFF(0, -1, 1) = - 20/3 z y x + 32/9 z y x + 50/9 z y x + + 80 3 2 3 2 2 2 3 3 245 3 2 + - -- z y x + 25/6 y z - 49/9 y x z + 28/9 z y x + --- z y x + 27 54 + + 70 3 3 3 2 35 3 14 3 3 2 + - -- z y x - 20/9 y z - 4/9 y + 7/3 y z - -- z y - -- y x + 5/6 y + 27 18 27 + + 3 49 3 2 140 2 175 2 2 35 2 2 2 2 + - 7/18 y + -- y x + --- x y z - --- x y z - -- x y - 56/9 x y z + 54 27 18 18 + + 28 2 2 2 2 16 3 2 3 2 2 2 + + -- x y + 35/3 x y z - -- y x + 10/9 y x + 8/3 y z - 5 y z , + 27 27 + + 2 2 3 2 3 2 3 80 3 + COEFF(1, -1, 1) = 20/3 z y x - 32/9 z y x - 50/9 z y x + -- z y x + 27 + + 3 2 2 2 3 3 3 2 35 3 175 3 2 + + 35/9 y x z - 28/9 z y x + 14/9 y x z - -- z y x - --- z y x + 27 54 + + 70 3 3 3 14 3 3 2 2 35 3 2 40 + + -- z y x - 7/27 y x + -- y x - 10/3 x y z - -- y x - -- x y z + 27 27 54 27 + + 100 2 2 125 2 2 25 2 2 2 2 + - --- x y z + 25/9 x y z + --- x y z + -- x y + 40/9 x y z + 27 18 18 + + 20 2 2 2 2 2 2 16 3 + - -- x y + 16/9 x y z - 25/3 x y z + 5/9 x y - 8/27 x y + -- y x + 27 27 + + 2 3 35 2 2 3 2 3 175 2 3 + - 10/9 y x , COEFF(2, -1, 1) = - -- z y x + 14/9 z y x + --- z y x + 12 72 + + 35 3 3 2 2 49 2 3 3 3 2 35 3 + - -- z y x - 7/6 y x z + -- z y x - 7/36 y x z + --- z y x + 27 36 216 + + 35 3 2 245 3 3 3 49 3 3 2 2 + + -- z y x - --- z y x + 7/216 y x - --- y x + 5/12 x y z + 36 216 216 + + 3 2 2 25 2 25 2 2 + + 7/36 y x + 5/27 x y z + 10/9 x y z - -- x y z - -- x y z + 72 12 + + 2 2 2 2 2 2 2 2 2 + - 5/12 x y - 4/3 x y z + 2/9 x y - 2/9 x y z + 5/2 x y z + + 2 3 35 2 3 + - 5/72 x y + 1/27 x y - 7/27 y x + -- y x , COEFF(3, -1, 1) = + 72 + + 2 2 2 3 2 2 2 35 3 3 3 2 2 + 2/9 x y z - 2/9 z y x - 5/12 x y z + --- z y x + 7/36 y x z + 216 + + 2 2 3 25 2 2 2 2 3 3 2 + + 5/12 z y x + -- x y z + 5/72 x y + 1/27 y x - 7/216 y x + 72 + + 2 3 3 3 2 3 2 3 3 + - 5/72 y x + 7/216 y x - 1/27 x y + 5/27 z y x - 7/36 z y x + + 2 25 2 3 35 3 2 2 2 3 + - 5/27 x y z - -- z y x - --- z y x , COEFF(-2, 0, 1) = 7/9 z y x + 72 216 + + 35 2 3 3 3 2 3 2 2 2 3 3 + - -- z y x + 5/18 z x - 1/3 x z + 8/9 y x z - 4/9 z y x + 54 + + 3 2 10 3 20 3 2 10 3 3 2 + - 4/9 y x z + -- z y x - -- z y x + -- z y x + 1/18 x - 5/9 x z + 27 27 27 + + 3 3 2 3 3 2 2 + + 5/18 x z + 2/27 y x + 1/18 x - 1/9 x + 2/27 y x + 7/9 x y z + + 3 2 35 2 35 2 2 2 2 2 2 2 + - 4/27 y x - -- x y z + -- x y z + 7/27 x y - 14/9 x y z + 54 27 + + 2 2 3 2 2 2 + - 7/54 x y - 7/54 y x - 1/3 x z + 2/3 x z , COEFF(-1, 0, 1) = + + 2 2 3 245 2 3 35 3 3 2 3 2 2 + - 49/9 z y x + --- z y x - -- z x + 7/3 x z - 20/3 y x z + 54 18 + + 2 3 3 3 2 80 3 3 2 70 3 3 + + 28/9 z y x + 32/9 y x z - -- z y x + 50/9 z y x - -- z y x + 27 27 + + 2 16 3 3 2 14 3 3 + - 4/9 x + 25/6 x z - 20/9 x z - -- y x - 7/18 x + 5/6 x - -- y x + 27 27 + + 2 2 3 2 140 2 175 2 2 35 2 2 + - 56/9 x y z + 10/9 y x + --- x y z - --- x y z - -- x y + 27 18 18 + + 2 2 2 28 2 49 2 3 2 2 2 + + 35/3 x y z + -- x y + -- y x + 8/3 x z - 5 x z , COEFF(0, 0, 1) + 27 54 + + 2 2 3 280 2 3 3 2 3 2 + = 112/9 z y x - --- z y x + 40/9 z x - 70/9 y z - 16/3 x z + 27 + + 3 2 2 2 3 3 280 3 2 160 3 3 2 + + 112/9 y x z - 64/9 z y x - --- z y x + --- z y x - 70/9 x z + 27 27 + + 2 3 2 3 2 3 + + 2/3 + 10/3 z - 4 z - 16/3 y z + 8/9 x - 14/9 x + 40/9 z y + + 32 3 3 2 3 56 3 2 490 2 2 98 2 2 + + -- y x - 14/9 y + 8/9 y - -- y x + --- x y z + -- x y + 27 27 27 27 + + 2 2 2 56 2 3 2 2 2 2 + - 196/9 x y z - -- y x + 28/3 x z + 28/3 y z , COEFF(1, 0, 1) = + 27 + + 2 2 3 280 2 3 3 3 2 3 2 2 + - 112/9 z y x + --- z y x - 40/9 z x + 16/3 x z - 80/9 y x z + 27 + + 2 3 3 3 2 80 3 200 3 2 160 3 3 + + 64/9 z y x - 32/9 y x z + -- z y x + --- z y x - --- z y x + 27 27 27 + + 2 16 3 3 2 32 3 3 + + 4/9 x + 50/9 x z + 20/9 x z + -- y x - 8/9 x + 10/9 x - -- y x + 27 27 + + 2 2 40 3 2 140 2 350 2 2 70 2 2 + + 56/9 x y z + -- y x - --- x y z - --- x y z - -- x y + 27 27 27 27 + + 2 2 2 28 2 56 2 3 2 2 2 + + 140/9 x y z - -- x y + -- y x - 8/3 x z - 20/3 x z , + 27 27 + + 2 2 3 245 2 3 35 3 3 2 + COEFF(2, 0, 1) = 49/9 z y x - --- z y x + -- z x - 7/3 x z + 54 18 + + 3 2 2 2 3 3 3 2 10 3 3 2 + + 8/3 y x z - 28/9 z y x + 4/9 y x z - -- z y x - 20/9 z y x + 27 + + 70 3 3 2 3 3 2 + + -- z y x - 1/18 x - 5/3 x z - 5/18 x z - 2/27 y x + 7/18 x - 1/3 x + 27 + + 14 3 3 2 2 3 2 35 2 2 2 + + -- y x - 7/9 x y z - 4/9 y x + -- x y z + 35/9 x y z + 27 54 + + 2 2 2 2 2 2 49 2 3 2 2 2 + + 7/9 x y - 14/3 x y z + 7/54 x y - -- y x + 1/3 x z + 2 x z , + 54 + + 2 2 2 3 2 3 10 3 2 + COEFF(3, 0, 1) = 7/9 x y z + 1/3 x z - 1/18 x + -- z y x + 27 + + 2 3 2 2 3 3 2 2 2 3 3 + + 7/54 y x - 7/9 z y x + 2/27 y x - 1/3 x z - 2/27 y x + + 35 2 2 10 3 3 2 3 3 3 2 2 + - -- x y z - -- z y x + 4/9 z y x - 5/18 z x + 1/18 x + 5/18 x z + 54 27 + + 35 2 3 2 2 3 2 2 2 2 3 + + -- z y x - 7/54 x y - 4/9 y x z , COEFF(-2, 1, 1) = - 5/9 z y x + 54 + + 2 3 25 2 3 3 3 2 2 2 3 3 + - 2/9 z y x + -- z y x + 5/27 z y x - 8/9 y x z + 4/9 z y x + 54 + + 3 2 10 3 20 3 2 10 3 3 3 + + 4/9 y x z - -- z y x + -- z y x - -- z y x - 2/27 y x + 27 27 27 + + 3 3 2 2 3 2 10 2 + - 2/27 y x - 5/9 x y z + 4/27 y x + 5/27 x y z - -- x y z + 27 + + 25 2 25 2 2 2 2 2 2 2 + + -- x y z - -- x y z - 5/27 x y + 4/9 x y z - 2/27 x y + 54 27 + + 2 2 2 2 2 3 + - 2/9 x y z + 10/9 x y z + 5/54 x y + 1/27 x y + 1/27 y x + + 2 3 2 2 3 2 3 175 2 3 + + 5/54 y x , COEFF(-1, 1, 1) = 35/9 z y x + 14/9 z y x - --- z y x + 54 + + 35 3 3 2 2 2 3 3 3 2 80 3 + - -- z y x + 20/3 y x z - 28/9 z y x - 32/9 y x z + -- z y x + 27 27 + + 3 2 70 3 3 16 3 14 3 3 2 2 + - 50/9 z y x + -- z y x + -- y x + -- y x + 40/9 x y z + 27 27 27 + + 3 2 40 2 100 2 125 2 2 + - 10/9 y x - -- x y z + 25/9 x y z - --- x y z + --- x y z + 27 27 18 + + 25 2 2 2 2 2 2 2 2 2 + + -- x y - 10/3 x y z + 5/9 x y + 16/9 x y z - 25/3 x y z + 18 + + 20 2 3 35 2 3 + - -- x y - 8/27 x y - 7/27 y x - -- y x , COEFF(0, 1, 1) = + 27 54 + + 2 2 3 2 3 200 2 3 80 3 2 + - 80/9 z y x - 32/9 z y x + --- z y x + -- z y x + 50/9 y z + 27 27 + + 3 2 2 2 3 3 280 3 2 160 3 3 + - 112/9 y x z + 64/9 z y x + --- z y x - --- z y x + 20/9 y z + 27 27 + + 3 2 3 32 3 3 2 3 56 3 2 + + 4/9 y + 16/3 y z - 40/9 z y - -- y x + 10/9 y - 8/9 y + -- y x + 27 27 + + 140 2 350 2 2 70 2 2 2 2 28 2 + - --- x y z - --- x y z - -- x y + 56/9 x y z - -- x y + 27 27 27 27 + + 2 2 2 16 3 40 2 3 2 2 2 + + 140/9 x y z + -- y x + -- y x - 8/3 y z - 20/3 y z , + 27 27 + + 2 2 3 2 3 200 2 3 80 3 + COEFF(1, 1, 1) = 80/9 z y x + 32/9 z y x - --- z y x - -- z y x + 27 27 + + 3 2 2 2 3 3 3 2 80 3 200 3 2 + + 80/9 y x z - 64/9 z y x + 32/9 y x z - -- z y x - --- z y x + 27 27 + + 160 3 3 16 3 32 3 3 2 2 40 3 2 40 + + --- z y x - -- y x + -- y x - 40/9 x y z - -- y x + -- x y z + 27 27 27 27 27 + + 100 2 100 2 250 2 2 50 2 2 2 2 + + --- x y z + --- x y z + --- x y z + -- x y - 40/9 x y z + 27 27 27 27 + + 20 2 2 2 2 2 20 2 16 3 + + -- x y - 16/9 x y z - 100/9 x y z + -- x y + 8/27 x y - -- y x + 27 27 27 + + 40 2 3 2 2 3 2 3 175 2 3 + - -- y x , COEFF(2, 1, 1) = - 35/9 z y x - 14/9 z y x + --- z y x + 27 54 + + 35 3 3 2 2 2 3 3 3 2 10 3 + + -- z y x - 8/3 y x z + 28/9 z y x - 4/9 y x z + -- z y x + 27 27 + + 3 2 70 3 3 3 14 3 3 2 2 + + 20/9 z y x - -- z y x + 2/27 y x - -- y x + 5/9 x y z + 27 27 + + 3 2 2 25 2 2 2 + + 4/9 y x - 5/27 x y z - 10/9 x y z - -- x y z - 25/9 x y z + 54 + + 2 2 2 2 2 2 2 2 2 + - 5/9 x y + 4/3 x y z - 2/9 x y + 2/9 x y z + 10/3 x y z + + 2 3 35 2 3 25 2 2 + - 5/54 x y - 1/27 x y + 7/27 y x + -- y x , COEFF(3, 1, 1) = -- x y z + 54 54 + + 2 2 3 3 2 3 3 3 + + 5/27 x y z + 1/27 x y + 2/27 y x - 4/9 z y x - 5/27 z y x + + 2 3 2 3 2 2 3 3 2 2 + - 5/54 y x + 2/9 z y x + 5/9 z y x - 1/27 y x + 5/54 x y + + 25 2 3 3 2 2 3 2 10 3 2 2 2 + - -- z y x + 4/9 y x z - 2/27 y x - -- z y x - 2/9 x y z + 54 27 + + 2 2 2 10 3 3 2 2 3 2 3 + - 5/9 x y z + -- z y x , COEFF(-2, 2, 1) = 1/6 z y x + 1/36 z y x + 27 + + 2 3 3 3 2 2 2 3 3 + - 5/36 z y x - 5/216 z y x + 7/18 y x z - 7/36 z y x + + 3 2 35 3 35 3 2 35 3 3 3 + - 7/36 y x z + --- z y x - --- z y x + --- z y x + 7/216 y x + 216 108 216 + + 3 3 2 2 3 2 2 + + 7/216 y x + 1/6 x y z - 7/108 y x - 5/216 x y z + 5/108 x y z + + 2 2 2 2 2 2 2 2 + - 5/36 x y z + 5/18 x y z + 1/18 x y - 1/18 x y z + 1/108 x y + + 2 2 2 2 2 3 + + 1/36 x y z - 1/3 x y z - 1/36 x y - 1/216 x y - 1/216 y x + + 2 3 2 2 3 2 3 35 2 3 + - 1/36 y x , COEFF(-1, 2, 1) = - 7/6 z y x - 7/36 z y x + -- z y x + 36 + + 35 3 35 3 2 2 49 2 3 3 3 2 35 3 + + --- z y x - -- y x z + -- z y x + 14/9 y x z - -- z y x + 216 12 36 27 + + 175 3 2 245 3 3 3 49 3 3 2 2 + + --- z y x - --- z y x - 7/27 y x - --- y x - 4/3 x y z + 72 216 216 + + 35 3 2 25 2 2 25 2 2 + + -- y x + 5/27 x y z - -- x y z + 10/9 x y z - -- x y z + 72 72 12 + + 2 2 2 2 2 2 2 2 2 + - 5/12 x y + 5/12 x y z - 5/72 x y - 2/9 x y z + 5/2 x y z + + 2 3 2 3 + + 2/9 x y + 1/27 x y + 7/216 y x + 7/36 y x , COEFF(0, 2, 1) = + + 2 2 3 2 3 2 3 10 3 2 + 8/3 z y x + 4/9 z y x - 20/9 z y x - -- z y x - 5/3 y z + 27 + + 3 2 2 2 3 3 245 3 2 70 3 3 + + 49/9 y x z - 28/9 z y x - --- z y x + -- z y x - 5/18 y z + 54 27 + + 3 2 35 3 14 3 3 2 3 49 3 2 + - 1/18 y - 7/3 y z + -- z y + -- y x - 1/3 y + 7/18 y - -- y x + 18 27 54 + + 35 2 2 2 2 2 2 2 2 + + -- x y z + 35/9 x y z + 7/9 x y - 7/9 x y z + 7/54 x y + 54 + + 2 2 2 3 2 3 2 2 2 + - 14/3 x y z - 2/27 y x - 4/9 y x + 1/3 y z + 2 y z , + + 2 2 3 2 3 2 3 10 3 + COEFF(1, 2, 1) = - 8/3 z y x - 4/9 z y x + 20/9 z y x + -- z y x + 27 + + 3 2 2 2 3 3 3 2 35 3 175 3 2 + - 35/9 y x z + 28/9 z y x - 14/9 y x z + -- z y x + --- z y x + 27 54 + + 70 3 3 3 14 3 3 2 2 35 3 2 + - -- z y x + 7/27 y x - -- y x + 4/3 x y z + -- y x - 5/27 x y z + 27 27 54 + + 25 2 2 2 2 2 2 2 2 + - -- x y z - 10/9 x y z - 25/9 x y z - 5/9 x y + 5/9 x y z + 54 + + 2 2 2 2 2 2 3 + - 5/54 x y + 2/9 x y z + 10/3 x y z - 2/9 x y - 1/27 x y + 2/27 y x + + 2 3 2 2 3 2 3 35 2 3 + + 4/9 y x , COEFF(2, 2, 1) = 7/6 z y x + 7/36 z y x - -- z y x + 36 + + 35 3 3 2 2 49 2 3 3 3 2 35 3 + - --- z y x + 7/6 y x z - -- z y x + 7/36 y x z - --- z y x + 216 36 216 + + 35 3 2 245 3 3 3 49 3 3 2 2 + - -- z y x + --- z y x - 7/216 y x + --- y x - 1/6 x y z + 36 216 216 + + 3 2 2 2 2 2 + - 7/36 y x + 5/216 x y z + 5/36 x y z + 5/36 x y z + 5/6 x y z + + 2 2 2 2 2 2 2 2 2 2 + + 1/6 x y - 1/6 x y z + 1/36 x y - 1/36 x y z - x y z + 1/36 x y + + 3 2 3 2 3 3 + + 1/216 x y - 7/216 y x - 7/36 y x , COEFF(3, 2, 1) = 7/36 z y x + + 2 3 2 2 2 3 2 2 3 2 2 2 + - 1/216 x y - 7/36 y x z - 1/36 z y x - 1/6 z y x + 1/6 x y z + + 2 3 2 2 2 2 3 2 3 + + 1/36 y x - 1/36 x y + 1/36 x y z + 7/216 y x + 1/216 y x + + 3 2 3 35 3 2 35 3 3 3 3 + + 5/216 z y x + 5/36 z y x + --- z y x - --- z y x - 7/216 y x + 216 216 + + 2 2 2 2 2 + - 5/216 x y z - 5/36 x y z, COEFF(-2, 3, 1) = - 1/36 x y z + + 2 3 3 3 2 2 3 2 + + 1/36 z y x + 1/36 y x z + 5/216 z y x + 5/216 x y z + + 3 2 2 2 3 2 2 3 3 3 + + 1/108 y x - 1/108 x y - 1/18 y x z - 1/216 y x - 1/216 y x + + 2 2 3 3 2 2 3 2 2 2 2 + - 1/36 z y x + 5/108 z y x + 1/216 y x + 1/216 x y + 1/18 x y z + + 3 3 3 2 2 + - 5/216 z y x - 5/216 z y x - 5/108 x y z, COEFF(-1, 3, 1) = + + 3 3 2 3 2 2 3 3 2 2 2 + 7/216 y x - 5/27 x y z - 2/9 y x z - 7/36 z y x - 5/12 x y z + + 3 2 2 2 2 2 2 25 3 2 35 3 3 + + 5/12 y x z + 2/9 x y z + 5/72 x y - -- z y x + --- z y x + 72 216 + + 3 35 2 3 2 2 2 3 3 2 + + 5/27 z y x - --- z y x - 1/27 x y + 7/36 z y x - 5/72 y x + 216 + + 3 2 3 25 2 2 2 + + 1/27 y x - 7/216 y x + -- x y z, COEFF(0, 3, 1) = 5/18 y z + 72 + + 2 2 2 2 2 10 3 3 2 3 3 + + 7/9 x y z - 7/54 x y - -- z y x + 2/27 y x - 5/18 z y + 27 + + 2 2 3 3 2 2 35 2 2 2 2 2 + - 4/9 z y x - 7/9 y x z - -- x y z + 1/18 y - 1/3 y z + 54 + + 2 3 3 10 2 3 3 2 3 2 3 3 + + 4/9 z y x + -- z y x + 7/54 y x + 1/3 y z - 2/27 y x + 27 + + 35 3 2 3 2 3 2 2 + + -- z y x - 1/18 y , COEFF(1, 3, 1) = - 2/27 y x + 5/54 x y + 54 + + 2 2 2 25 2 2 10 3 3 2 3 3 25 3 2 + - 5/9 x y z + -- x y z + -- z y x - 4/9 z y x - -- z y x + 54 27 54 + + 2 3 2 2 2 2 3 3 2 + + 1/27 x y - 5/54 y x + 5/27 x y z + 4/9 z y x + 2/9 y x z + + 3 2 2 3 3 3 2 2 3 + + 5/9 y x z + 2/27 y x - 1/27 y x - 2/9 x y z - 5/27 z y x + + 10 2 3 35 3 3 2 3 3 + - -- z y x , COEFF(2, 3, 1) = - --- z y x - 5/216 x y z - 7/216 y x + 27 216 + + 3 2 2 3 3 3 35 2 3 3 + + 1/36 y x + 7/36 z y x + 5/216 z y x + --- z y x + 1/216 y x + 216 + + 3 2 2 2 3 2 2 2 2 3 2 3 + + 5/36 z y x + 1/36 x y z - 1/6 y x z - 7/36 z y x + 7/216 y x + + 3 2 2 2 2 2 2 2 2 2 + - 1/36 y x z + 1/6 x y z - 1/216 x y - 5/36 x y z - 1/36 x y , + + 3 2 3 3 2 3 3 + COEFF(3, 3, 1) = - 5/216 z y x + 1/216 y x - 1/36 z y x + + 2 2 2 2 3 2 2 2 2 2 + + 1/216 x y + 1/36 z y x - 1/36 x y z + 5/216 x y z + + 3 3 3 2 2 2 3 3 2 + + 5/216 z y x + 1/36 y x z - 1/216 y x - 1/216 y x + + 2 3 2 2 3 2 3 + - 5/216 z y x , COEFF(-2, -2, 2) = - 7/288 z y x + 7/576 z y x + + 2 3 3 3 2 2 2 3 3 + + 1/72 z y x - 1/144 z y x - 7/288 y x z + 7/576 z y x + + 3 2 3 3 2 3 3 + + 7/576 y x z - 1/144 z y x + 1/72 z y x - 1/144 z y x + + 3 3 3 2 2 3 2 + - 1/1728 y x - 1/1728 y x - 7/288 x y z + 1/864 y x - 1/144 x y z + + 2 2 2 2 2 2 2 2 + + 1/72 x y z + 1/72 x y z - 1/36 x y z - 1/432 x y - 7/288 x y z + + 2 2 2 2 2 2 + + 1/864 x y + 7/576 x y z + 7/144 x y z + 1/864 x y - 1/1728 x y + + 3 2 3 49 2 2 3 49 2 3 + - 1/1728 y x + 1/864 y x , COEFF(-1, -2, 2) = --- z y x - --- z y x + 288 576 + + 2 3 3 35 3 2 2 49 2 3 3 3 2 + - 7/72 z y x + 7/144 z y x + --- y x z - --- z y x - 7/72 y x z + 192 576 + + 3 3 2 3 3 3 3 3 + + 1/18 z y x - 5/48 z y x + 7/144 z y x + 1/216 y x + 7/1728 y x + + 2 2 3 2 2 2 + + 7/36 x y z - 5/576 y x + 1/18 x y z - 5/48 x y z - 1/9 x y z + + 2 2 2 2 35 2 2 2 2 + + 5/24 x y z + 5/288 x y + --- x y z - 5/576 x y - 7/72 x y z + 192 + + 35 2 2 2 2 3 2 3 + - -- x y z - 1/108 x y + 1/216 x y + 7/1728 y x - 7/864 y x , + 96 + + 2 2 3 2 3 2 3 3 + COEFF(0, -2, 2) = - 7/18 z y x + 7/36 z y x + 2/9 z y x - 1/9 z y x + + 2 49 3 2 2 2 3 3 3 2 3 3 + + 1/6 y z - --- y x z + 7/36 z y x + 7/36 z y x - 1/9 z y x + 144 + + 3 2 3 3 3 2 + - 1/12 y z - 1/144 y + 7/48 y z - 1/12 z y - 1/108 y x + 1/72 y + + 3 3 2 2 2 2 2 2 + - 1/144 y + 7/432 y x + 7/36 x y z - 7/18 x y z - 7/216 x y + + 49 2 2 2 49 2 2 2 3 2 3 + - --- x y z + 7/432 x y + -- x y z - 1/108 y x + 1/54 y x + 144 72 + + 2 2 2 2 2 3 2 3 + + 7/48 y z - 7/24 y z , COEFF(1, -2, 2) = 7/18 z y x - 7/36 z y x + + 2 3 3 35 3 2 2 2 3 3 3 2 + - 2/9 z y x + 1/9 z y x + --- y x z - 7/36 z y x + 7/72 y x z + 144 + + 3 3 2 3 3 3 3 3 + - 1/18 z y x - 5/36 z y x + 1/9 z y x - 1/216 y x + 1/108 y x + + 2 2 3 2 2 2 + - 7/36 x y z - 5/432 y x - 1/18 x y z - 5/36 x y z + 1/9 x y z + + 2 2 2 2 35 2 2 2 2 + + 5/18 x y z + 5/216 x y + --- x y z - 5/432 x y + 7/72 x y z + 144 + + 35 2 2 2 2 3 2 3 + - -- x y z + 1/108 x y - 1/216 x y + 1/108 y x - 1/54 y x , + 72 + + 49 2 2 3 49 2 3 2 3 + COEFF(2, -2, 2) = - --- z y x + --- z y x + 7/72 z y x + 288 576 + + 3 3 2 2 49 2 3 3 3 2 + - 7/144 z y x - 7/96 y x z + --- z y x - 7/576 y x z + 576 + + 3 3 2 3 3 3 3 3 + + 1/144 z y x + 1/24 z y x - 7/144 z y x + 1/1728 y x - 7/1728 y x + + 2 2 3 2 2 2 + + 7/288 x y z + 1/288 y x + 1/144 x y z + 1/24 x y z - 1/72 x y z + + 2 2 2 2 2 2 2 2 + - 1/12 x y z - 1/144 x y - 7/96 x y z + 1/288 x y - 7/576 x y z + + 2 2 2 2 3 2 3 + + 7/48 x y z - 1/864 x y + 1/1728 x y - 7/1728 y x + 7/864 y x , + + 2 2 2 2 3 3 + COEFF(3, -2, 2) = 7/576 x y z + 1/72 x y z + 1/144 z y x + + 2 3 3 2 2 2 2 3 + - 7/576 z y x + 1/864 x y - 1/144 x y z - 7/576 z y x + + 3 3 3 2 2 2 3 3 2 + + 1/1728 y x + 7/576 y x z - 1/72 z y x - 1/144 z y x + + 2 3 3 3 2 2 2 3 + - 1/1728 x y + 1/1728 y x + 1/144 z y x - 1/1728 y x + 7/288 z y x + + 2 3 2 2 2 35 2 2 3 + - 1/864 y x - 7/288 x y z , COEFF(-2, -1, 2) = --- z y x + 192 + + 2 3 2 3 3 49 3 2 2 49 2 3 3 + - 7/72 z y x - 5/48 z y x + 1/18 z y x + --- y x z - --- z y x + 288 576 + + 49 3 2 3 3 2 3 3 3 + - --- y x z + 7/144 z y x - 7/72 z y x + 7/144 z y x + 7/1728 y x + 576 + + 3 3 35 2 2 3 2 2 + + 7/1728 y x + --- x y z - 7/864 y x + 1/18 x y z - 1/9 x y z + 192 + + 2 2 2 2 2 2 2 2 + - 5/48 x y z + 5/24 x y z + 5/288 x y + 7/36 x y z - 1/108 x y + + 2 35 2 2 2 2 3 + - 7/72 x y z - -- x y z - 5/576 x y + 1/216 x y + 1/216 y x + 96 + + 2 3 245 2 2 3 49 2 3 35 2 3 + - 5/576 y x , COEFF(-1, -1, 2) = - --- z y x + -- z y x + -- z y x + 192 72 48 + + 3 245 3 2 2 343 2 3 3 49 3 2 3 + - 7/18 z y x - --- y x z + --- z y x + -- y x z - 7/18 z y x + 192 576 72 + + 35 3 2 49 3 3 3 49 3 3 35 2 2 + + -- z y x - --- z y x - 7/216 y x - ---- y x - -- x y z + 48 144 1728 24 + + 35 3 2 2 2 25 2 2 25 2 2 + + --- y x - 4/9 x y z + 5/6 x y z + 5/6 x y z - -- x y z - --- x y + 576 16 192 + + 35 2 2 2 2 175 2 2 2 2 + - -- x y z + 5/72 x y + 7/9 x y z + --- x y z + 5/72 x y + 24 64 + + 3 35 2 3 35 2 2 3 + - 1/27 x y - 7/216 y x + --- y x , COEFF(0, -1, 2) = -- z y x + 576 12 + + 2 3 2 3 3 2 343 3 2 2 + - 14/9 z y x - 5/3 z y x + 8/9 z y x - 5/4 y z + --- y x z + 144 + + 49 2 3 3 49 3 2 3 3 49 3 2 + - -- z y x - -- z y x + 7/9 z y x + 2/3 y z + 1/18 y - -- y z + 36 36 48 + + 3 3 3 2 3 49 3 2 2 + + 7/12 z y + 7/108 y x - 5/48 y + 7/144 y - --- y x - 14/9 x y z + 432 + + 35 2 2 35 2 2 49 2 2 2 245 2 2 2 + + -- x y z + --- x y + -- x y z - 7/54 x y - --- x y z + 12 144 18 48 + + 3 2 3 2 35 2 2 + + 2/27 y x - 5/36 y x - 7/6 y z + -- y z , COEFF(1, -1, 2) = + 16 + + 35 2 2 3 2 3 2 3 3 245 3 2 2 + - -- z y x + 14/9 z y x + 5/3 z y x - 8/9 z y x - --- y x z + 12 144 + + 49 2 3 3 49 3 2 3 35 3 2 3 3 + + -- z y x - -- y x z + 7/18 z y x + -- z y x - 7/9 z y x + 36 72 36 + + 3 3 3 35 2 2 35 3 2 + + 7/216 y x - 7/108 y x + -- x y z + --- y x + 4/9 x y z + 24 432 + + 2 2 25 2 2 25 2 2 35 2 2 + + 10/9 x y z - 5/6 x y z - -- x y z - --- x y - -- x y z + 12 144 18 + + 2 2 175 2 2 2 2 3 + + 5/54 x y - 7/9 x y z + --- x y z - 5/72 x y + 1/27 x y - 2/27 y x + 48 + + 2 3 245 2 2 3 49 2 3 35 2 3 + + 5/36 y x , COEFF(2, -1, 2) = --- z y x - -- z y x - -- z y x + 192 72 48 + + 3 49 3 2 2 343 2 3 3 49 3 2 3 + + 7/18 z y x + -- y x z - --- z y x + --- y x z - 7/144 z y x + 96 576 576 + + 3 2 49 3 3 3 49 3 3 35 2 2 + - 7/24 z y x + --- z y x - 7/1728 y x + ---- y x - --- x y z + 144 1728 192 + + 3 2 2 2 2 2 + - 7/288 y x - 1/18 x y z - 1/3 x y z + 5/48 x y z + 5/8 x y z + + 2 2 2 2 2 2 35 2 2 2 + + 5/96 x y + 7/12 x y z - 1/36 x y + 7/72 x y z - -- x y z + 32 + + 2 3 35 2 3 + + 5/576 x y - 1/216 x y + 7/216 y x - --- y x , COEFF(3, -1, 2) = + 576 + + 2 2 2 2 3 35 2 2 3 3 3 + 1/216 x y - 5/48 x y z + 7/72 z y x - --- z y x - 7/144 z y x + 192 + + 2 2 2 35 2 2 2 2 2 49 3 2 2 + + 1/18 x y z - 7/72 x y z + --- x y z - 5/576 x y - --- y x z + 192 576 + + 3 3 3 3 2 2 3 3 2 + - 7/1728 y x - 1/18 z y x + 7/1728 y x + 5/48 z y x + 7/144 z y x + + 49 2 3 3 2 3 3 + + --- z y x + 5/576 y x - 1/216 y x , COEFF(-2, 0, 2) = + 576 + + 49 2 2 3 2 3 3 3 2 3 2 2 + - --- z y x + 7/36 z y x - 1/12 z x + 7/48 x z - 7/18 y x z + 144 + + 2 3 3 3 2 3 3 2 3 3 + + 7/36 z y x + 7/36 y x z - 1/9 z y x + 2/9 z y x - 1/9 z y x + + 2 3 3 2 + - 1/144 x + 1/6 x z - 1/12 x z - 1/108 y x - 1/144 x + 1/72 x + + 3 3 49 2 2 3 2 2 2 2 + - 1/108 y x - --- x y z + 1/54 y x + 7/36 x y z - 7/18 x y z + 144 + + 2 2 49 2 2 2 2 2 3 2 + - 7/216 x y + -- x y z + 7/432 x y + 7/432 y x + 7/48 x z + 72 + + 2 2 343 2 2 3 49 2 3 3 + - 7/24 x z , COEFF(-1, 0, 2) = --- z y x - -- z y x + 7/12 z x + 144 36 + + 49 3 2 35 3 2 2 49 2 3 3 3 2 3 + - -- x z + -- y x z - -- z y x - 14/9 y x z + 8/9 z y x + 48 12 36 + + 3 2 3 3 2 3 + - 5/3 z y x + 7/9 z y x + 1/18 x - 5/4 x z + 2/3 x z + 2/27 y x + + 3 2 3 3 49 2 2 3 2 2 + + 7/144 x - 5/48 x + 7/108 y x + -- x y z - 5/36 y x - 14/9 x y z + 18 + + 35 2 2 35 2 2 245 2 2 2 2 49 2 3 2 + + -- x y z + --- x y - --- x y z - 7/54 x y - --- y x - 7/6 x z + 12 144 48 432 + + 35 2 2 2 2 3 2 3 3 + + -- x z , COEFF(0, 0, 2) = - 49/9 z y x + 28/9 z y x - 4/3 z x + 16 + + 2 3 2 3 2 2 2 3 3 3 2 + + 7/3 y z + 7/3 x z - 49/9 y x z + 28/9 z y x + 28/9 z y x + + 3 3 2 2 3 2 3 + - 16/9 z y x + 7/3 x z - 1/12 - z + 7/4 z + 7/3 y z - 1/9 x + + 2 3 3 3 2 3 3 2 + + 7/36 x - 4/3 z y - 4/27 y x + 7/36 y - 1/9 y + 7/27 y x + + 2 2 49 2 2 343 2 2 2 2 3 49 2 2 + - 49/9 x y z - --- x y + --- x y z + 7/27 y x - -- x z + 108 36 12 + + 49 2 2 2 2 3 2 3 3 + - -- y z , COEFF(1, 0, 2) = 49/9 z y x - 28/9 z y x + 4/3 z x + 12 + + 3 2 3 2 2 2 3 3 3 2 3 + - 7/3 x z + 35/9 y x z - 28/9 z y x + 14/9 y x z - 8/9 z y x + + 3 2 3 3 2 3 + - 20/9 z y x + 16/9 z y x - 1/18 x - 5/3 x z - 2/3 x z - 2/27 y x + + 3 2 3 3 49 2 2 3 2 2 + + 1/9 x - 5/36 x + 4/27 y x - -- x y z - 5/27 y x + 14/9 x y z + 18 + + 2 2 35 2 2 245 2 2 2 2 2 3 + + 35/9 x y z + --- x y - --- x y z + 7/54 x y - 7/27 y x + 108 36 + + 2 35 2 2 343 2 2 3 49 2 3 + + 7/6 x z + -- x z , COEFF(2, 0, 2) = - --- z y x + -- z y x + 12 144 36 + + 3 49 3 2 3 2 2 49 2 3 3 3 2 + - 7/12 z x + -- x z - 7/6 y x z + -- z y x - 7/36 y x z + 48 36 + + 3 3 2 3 3 2 + + 1/9 z y x + 2/3 z y x - 7/9 z y x + 1/144 x + 1/2 x z + 1/12 x z + + 3 3 2 3 3 49 2 2 3 2 + + 1/108 y x - 7/144 x + 1/24 x - 7/108 y x + --- x y z + 1/18 y x + 144 + + 2 2 2 2 2 49 2 2 2 2 + - 7/36 x y z - 7/6 x y z - 7/72 x y + -- x y z - 7/432 x y + 24 + + 49 2 3 2 2 2 3 2 2 + + --- y x - 7/48 x z - 7/8 x z , COEFF(3, 0, 2) = 7/36 y x z + 432 + + 2 2 2 3 3 3 2 3 3 + - 1/12 x z + 7/432 x y + 1/108 y x + 1/144 x - 7/36 z y x + + 2 2 3 2 3 3 2 3 3 + + 7/48 x z - 1/9 z y x + 1/12 z x - 1/108 y x + 1/9 z y x + + 2 3 2 3 3 2 49 2 2 2 49 2 2 3 + - 7/36 z y x - 7/432 y x - 7/48 x z - --- x y z + --- z y x + 144 144 + + 2 2 2 35 2 2 3 2 3 + + 7/36 x y z - 1/144 x , COEFF(-2, 1, 2) = --- z y x + 7/72 z y x + 144 + + 2 3 3 3 2 2 2 3 3 + - 5/36 z y x - 1/18 z y x + 7/18 y x z - 7/36 z y x + + 3 2 3 3 2 3 3 3 + - 7/36 y x z + 1/9 z y x - 2/9 z y x + 1/9 z y x + 1/108 y x + + 3 3 35 2 2 3 2 2 + + 1/108 y x + --- x y z - 1/54 y x - 1/18 x y z + 1/9 x y z + 144 + + 2 2 2 2 2 2 2 2 + - 5/36 x y z + 5/18 x y z + 5/216 x y - 7/36 x y z + 1/108 x y + + 2 35 2 2 2 2 3 + + 7/72 x y z - -- x y z - 5/432 x y - 1/216 x y - 1/216 y x + 72 + + 2 3 245 2 2 3 49 2 3 35 2 3 + - 5/432 y x , COEFF(-1, 1, 2) = - --- z y x - -- z y x + -- z y x + 144 72 36 + + 3 35 3 2 2 49 2 3 3 3 2 3 + + 7/18 z y x - -- y x z + -- z y x + 14/9 y x z - 8/9 z y x + 12 36 + + 3 2 3 3 3 3 3 35 2 2 + + 5/3 z y x - 7/9 z y x - 2/27 y x - 7/108 y x - -- x y z + 18 + + 3 2 2 2 25 2 2 + + 5/36 y x + 4/9 x y z - 5/6 x y z + 10/9 x y z - -- x y z + 12 + + 25 2 2 35 2 2 2 2 175 2 2 2 + - --- x y + -- x y z - 5/72 x y - 7/9 x y z + --- x y z + 144 24 48 + + 2 3 35 2 3 + + 5/54 x y + 1/27 x y + 7/216 y x + --- y x , COEFF(0, 1, 2) = + 432 + + 2 2 3 2 3 2 3 3 2 + 35/9 z y x + 14/9 z y x - 20/9 z y x - 8/9 z y x - 5/3 y z + + 3 2 2 2 3 3 3 2 3 3 + + 49/9 y x z - 28/9 z y x - 28/9 z y x + 16/9 z y x - 2/3 y z + + 3 2 3 3 3 2 3 + - 1/18 y - 7/3 y z + 4/3 z y + 4/27 y x - 5/36 y + 1/9 y + + 3 2 2 2 2 35 2 2 49 2 2 + - 7/27 y x + 14/9 x y z + 35/9 x y z + --- x y - -- x y z + 108 18 + + 2 245 2 2 2 3 2 3 2 35 2 2 + + 7/54 x y - --- x y z - 2/27 y x - 5/27 y x + 7/6 y z + -- y z , + 36 12 + + 2 2 3 2 3 2 3 3 + COEFF(1, 1, 2) = - 35/9 z y x - 14/9 z y x + 20/9 z y x + 8/9 z y x + + 3 2 2 2 3 3 3 2 3 3 2 + - 35/9 y x z + 28/9 z y x - 14/9 y x z + 8/9 z y x + 20/9 z y x + + 3 3 3 3 3 35 2 2 3 2 + - 16/9 z y x + 2/27 y x - 4/27 y x + -- x y z + 5/27 y x + 18 + + 2 2 2 2 25 2 2 + - 4/9 x y z - 10/9 x y z - 10/9 x y z - 25/9 x y z - --- x y + 108 + + 35 2 2 2 2 175 2 2 2 2 + + -- x y z - 5/54 x y + 7/9 x y z + --- x y z - 5/54 x y + 18 36 + + 3 2 3 245 2 2 3 + - 1/27 x y + 2/27 y x + 5/27 y x , COEFF(2, 1, 2) = --- z y x + 144 + + 49 2 3 35 2 3 3 3 2 2 49 2 3 3 + + -- z y x - -- z y x - 7/18 z y x + 7/6 y x z - -- z y x + 72 36 36 + + 3 2 3 3 2 3 3 3 + + 7/36 y x z - 1/9 z y x - 2/3 z y x + 7/9 z y x - 1/108 y x + + 3 3 35 2 2 3 2 2 + + 7/108 y x - --- x y z - 1/18 y x + 1/18 x y z + 1/3 x y z + 144 + + 2 2 2 2 2 2 2 2 + + 5/36 x y z + 5/6 x y z + 5/72 x y - 7/12 x y z + 1/36 x y + + 2 35 2 2 2 2 3 + - 7/72 x y z - -- x y z + 5/432 x y + 1/216 x y - 7/216 y x + 24 + + 35 2 3 2 2 2 3 3 + - --- y x , COEFF(3, 1, 2) = - 1/216 x y - 5/432 x y - 1/108 y x + 432 + + 3 2 2 3 2 2 2 3 2 3 + - 7/36 y x z + 1/9 z y x + 7/72 x y z + 1/216 y x - 7/72 z y x + + 35 2 2 2 2 3 3 2 3 3 3 3 + + --- x y z + 7/36 z y x + 5/432 y x - 1/9 z y x + 1/18 z y x + 144 + + 2 2 3 2 2 35 2 2 3 3 2 + - 1/18 x y z + 5/36 z y x - 5/36 x y z - --- z y x + 1/108 y x , + 144 + + 2 2 3 2 3 2 3 + COEFF(-2, 2, 2) = - 7/96 z y x - 7/576 z y x + 1/24 z y x + + 3 49 3 2 2 49 2 3 3 49 3 2 3 + + 1/144 z y x - --- y x z + --- z y x + --- y x z - 7/144 z y x + 288 576 576 + + 3 2 3 3 3 3 3 2 2 + + 7/72 z y x - 7/144 z y x - 7/1728 y x - 7/1728 y x - 7/96 x y z + + 3 2 2 2 2 2 + + 7/864 y x + 1/144 x y z - 1/72 x y z + 1/24 x y z - 1/12 x y z + + 2 2 2 2 2 2 2 2 2 + - 1/144 x y + 7/288 x y z - 1/864 x y - 7/576 x y z + 7/48 x y z + + 2 3 2 3 + + 1/288 x y + 1/1728 x y + 1/1728 y x + 1/288 y x , COEFF(-1, 2, 2) = + + 49 2 2 3 49 2 3 2 3 3 245 3 2 2 + -- z y x + --- z y x - 7/24 z y x - 7/144 z y x + --- y x z + 96 576 192 + + 343 2 3 3 49 3 2 3 35 3 2 49 3 3 + - --- z y x - -- y x z + 7/18 z y x - -- z y x + --- z y x + 576 72 48 144 + + 3 49 3 3 2 2 35 3 2 + + 7/216 y x + ---- y x + 7/12 x y z - --- y x - 1/18 x y z + 1728 576 + + 2 2 2 2 2 2 35 2 2 + + 5/48 x y z - 1/3 x y z + 5/8 x y z + 5/96 x y - --- x y z + 192 + + 2 2 35 2 2 2 2 + + 5/576 x y + 7/72 x y z - -- x y z - 1/36 x y - 1/216 x y + 32 + + 3 2 3 2 2 3 + - 7/1728 y x - 7/288 y x , COEFF(0, 2, 2) = - 7/6 z y x + + 2 3 2 3 3 2 343 3 2 2 + - 7/36 z y x + 2/3 z y x + 1/9 z y x + 1/2 y z - --- y x z + 144 + + 49 2 3 3 49 3 2 3 3 49 3 2 + + -- z y x + -- z y x - 7/9 z y x + 1/12 y z + 1/144 y + -- y z + 36 36 48 + + 3 3 3 2 3 49 3 2 2 + - 7/12 z y - 7/108 y x + 1/24 y - 7/144 y + --- y x - 7/36 x y z + 432 + + 2 2 2 2 49 2 2 2 49 2 2 2 + - 7/6 x y z - 7/72 x y + --- x y z - 7/432 x y + -- x y z + 144 24 + + 3 2 3 2 2 2 + + 1/108 y x + 1/18 y x - 7/48 y z - 7/8 y z , COEFF(1, 2, 2) = + + 2 2 3 2 3 2 3 3 245 3 2 2 + 7/6 z y x + 7/36 z y x - 2/3 z y x - 1/9 z y x + --- y x z + 144 + + 49 2 3 3 49 3 2 3 35 3 2 3 3 + - -- z y x + -- y x z - 7/18 z y x - -- z y x + 7/9 z y x + 36 72 36 + + 3 3 3 2 2 35 3 2 + - 7/216 y x + 7/108 y x - 7/12 x y z - --- y x + 1/18 x y z + 432 + + 2 2 2 2 2 2 35 2 2 + + 5/36 x y z + 1/3 x y z + 5/6 x y z + 5/72 x y - --- x y z + 144 + + 2 2 35 2 2 2 2 + + 5/432 x y - 7/72 x y z - -- x y z + 1/36 x y + 1/216 x y + 24 + + 3 2 3 49 2 2 3 49 2 3 + - 1/108 y x - 1/18 y x , COEFF(2, 2, 2) = - -- z y x - --- z y x + 96 576 + + 2 3 3 49 3 2 2 343 2 3 3 49 3 2 + + 7/24 z y x + 7/144 z y x - -- y x z + --- z y x - --- y x z + 96 576 576 + + 3 3 2 49 3 3 3 49 3 3 + + 7/144 z y x + 7/24 z y x - --- z y x + 7/1728 y x - ---- y x + 144 1728 + + 2 2 3 2 2 2 + + 7/96 x y z + 7/288 y x - 1/144 x y z - 1/24 x y z - 1/24 x y z + + 2 2 2 2 2 2 2 2 + - 1/4 x y z - 1/48 x y + 7/96 x y z - 1/288 x y + 7/576 x y z + + 2 2 2 2 3 2 3 + + 7/16 x y z - 1/288 x y - 1/1728 x y + 7/1728 y x + 7/288 y x , + + 49 2 3 3 3 2 3 3 + COEFF(3, 2, 2) = - --- z y x - 7/1728 y x + 7/144 z y x + 576 + + 2 2 2 2 49 3 2 2 2 2 3 + + 1/1728 x y - 7/96 x y z + --- y x z - 7/576 x y z - 1/1728 y x + 576 + + 2 2 3 3 3 2 3 2 2 3 2 + + 7/96 z y x + 7/1728 y x - 1/288 y x + 1/288 x y - 7/144 z y x + + 3 2 3 2 2 2 + - 1/144 z y x - 1/24 z y x + 1/24 x y z + 1/144 x y z + + 2 3 3 3 2 2 + + 7/576 z y x , COEFF(-2, 3, 2) = 1/1728 y x + 1/864 x y + + 3 3 2 2 2 2 3 2 + + 1/1728 y x - 1/864 y x - 7/288 x y z - 7/576 y x z + + 2 3 3 3 2 2 3 3 3 2 + - 7/576 z y x + 7/288 y x z + 1/144 z y x - 1/72 z y x + + 2 3 2 2 2 2 2 + - 1/144 z y x - 1/144 x y z + 1/72 x y z + 7/576 x y z + + 2 2 3 2 3 2 3 + + 7/576 z y x - 1/1728 y x - 1/1728 x y + 1/144 z y x, + + 3 3 3 2 3 3 3 + COEFF(-1, 3, 2) = - 7/1728 y x + 5/576 y x - 1/216 y x - 7/144 z y x + + 3 2 2 2 2 2 3 2 + - 1/18 z y x - 5/576 x y - 5/48 x y z + 1/18 x y z + 5/48 z y x + + 2 3 35 2 2 2 2 2 49 2 3 3 + + 7/144 z y x + --- x y z - 7/72 x y z + --- z y x + 192 576 + + 35 3 2 2 2 49 2 2 3 3 2 2 3 + - --- y x z + 1/216 x y - --- z y x + 7/72 y x z + 7/1728 y x , + 192 576 + + 2 3 2 2 2 3 3 3 + COEFF(0, 3, 2) = - 1/9 z y x + 7/48 y z - 1/108 y x + 1/108 y x + + 3 2 2 3 3 49 2 2 2 + - 7/36 z y x - 1/144 y + 1/144 y + 1/12 z y - --- x y z + 144 + + 2 2 3 2 49 3 2 2 2 2 3 3 + + 7/432 x y - 7/432 y x + --- y x z + 7/36 x y z + 1/9 z y x + 144 + + 3 2 2 2 3 2 2 3 3 + - 7/48 y z + 7/36 z y x - 1/12 y z - 7/36 z y x , COEFF(1, 3, 2) + + 3 2 2 3 3 2 2 3 3 + = 1/18 z y x + 7/72 x y z - 1/9 z y x - 1/18 x y z + 7/36 z y x + + 3 2 3 2 2 3 2 2 35 3 2 2 + - 7/72 y x z + 1/216 y x - 7/36 z y x - 5/36 x y z - --- y x z + 144 + + 2 3 2 3 3 2 3 2 3 + - 1/216 x y + 5/432 y x - 1/108 y x + 1/108 y x + 1/9 z y x + + 3 2 2 2 35 2 2 2 + + 5/36 z y x - 5/432 x y + --- x y z , COEFF(2, 3, 2) = + 144 + + 3 2 2 2 3 2 2 2 2 + - 1/24 z y x + 1/1728 x y + 1/144 x y z - 1/288 y x - 7/96 x y z + + 2 3 49 2 2 3 2 2 2 2 3 3 + - 7/1728 y x + --- z y x + 1/288 x y + 1/24 x y z + 7/1728 y x + 576 + + 2 3 3 2 3 2 2 + - 7/144 z y x + 7/576 y x z - 1/144 z y x - 7/576 x y z + + 3 3 3 2 2 3 49 2 3 3 + + 7/144 z y x + 7/96 y x z - 1/1728 y x - --- z y x , + 576 + + 2 3 3 3 2 2 2 2 + COEFF(3, 3, 2) = 7/576 z y x + 1/1728 y x + 7/576 x y z + + 2 2 3 3 3 2 2 2 + - 1/144 x y z - 1/144 z y x + 1/144 z y x - 1/1728 x y + + 3 3 2 3 2 3 2 2 3 + - 1/1728 y x + 1/1728 y x + 1/144 z y x - 7/576 z y x + + 3 2 2 2 2 2 2 + - 7/576 y x z , COEFF(-2, -2, 3) = 1/216 x y z + 1/288 x y z + + 3 2 2 3 2 + + 1/288 y x z + 1/864 z y x + 1/864 x y z - 1/432 x y z + + 2 3 3 2 3 3 3 2 + - 1/576 z y x - 1/432 z y x + 1/864 z y x - 1/576 x y z + + 2 2 3 2 2 3 2 2 2 2 + + 1/288 z y x + 1/288 x y z - 1/576 y x z - 1/144 x y z + + 2 3 3 2 2 3 + - 1/432 x y z + 1/864 z y x - 1/432 z y x - 1/576 z y x , + + 2 2 3 3 2 2 3 2 + COEFF(-1, -2, 3) = - 7/288 z y x - 5/192 y x z + 1/72 y x z + + 2 3 2 2 3 2 + + 7/432 z y x - 1/108 x y z - 5/192 x y z + 5/288 z y x + + 2 2 2 2 2 2 2 2 + - 5/144 x y z + 1/72 x y z - 1/36 x y z + 5/96 x y z + + 2 2 3 3 2 3 + + 5/288 x y z + 7/576 z y x + 1/54 x y z - 7/864 z y x + + 3 3 3 2 3 + - 7/864 z y x - 1/108 z y x + 7/576 z y x , COEFF(0, -2, 3) = + + 3 3 2 2 3 3 2 3 2 2 + 1/54 z y x + 1/18 z y x + 1/72 z y - 1/36 z y x + 7/144 x y z + + 3 2 2 2 2 2 3 2 2 + - 7/216 z y x - 7/72 x y z - 1/48 y z + 7/144 y x z + 1/72 y z + + 2 2 3 2 2 3 2 + + 1/24 y z - 1/48 y z - 7/216 x y z + 1/54 z y x - 1/36 y z + + 2 2 2 3 2 3 3 + + 7/108 x y z - 1/27 z y x - 1/36 z y x , COEFF(1, -2, 3) = + + 3 2 2 2 2 2 3 + - 1/54 z y x - 1/72 x y z - 5/108 x y z + 5/216 x y z + 1/27 z y x + + 3 3 2 2 2 3 2 + + 1/108 z y x + 5/216 z y x + 1/36 x y z - 1/72 y x z + + 2 2 2 3 3 2 2 3 2 3 + + 5/72 x y z - 1/54 z y x - 1/18 z y x + 1/36 z y x + + 3 2 2 2 2 3 3 + - 5/144 y x z + 1/108 x y z - 1/54 x y z + 1/36 z y x + + 2 2 2 2 3 3 + - 5/144 x y z , COEFF(2, -2, 3) = - 1/144 x y z - 7/576 z y x + + 2 2 3 2 2 2 3 2 2 + + 1/96 x y z + 1/96 y x z - 7/432 z y x + 1/72 x y z + + 2 3 3 2 + + 1/576 x y z - 1/864 z y x + 1/576 y x z - 1/864 x y z + + 2 2 2 2 2 3 2 3 3 + - 1/48 x y z + 7/288 z y x + 1/432 x y z + 7/864 z y x + + 2 2 2 3 3 3 2 + - 1/288 x y z - 7/576 z y x + 7/864 z y x - 1/144 z y x , + + 2 3 2 2 3 2 + COEFF(3, -2, 3) = 1/576 z y x - 1/288 z y x + 1/864 x y z + + 2 3 2 2 2 3 3 2 2 + + 1/432 z y x - 1/432 x y z + 1/576 z y x - 1/576 x y z + + 3 2 2 3 3 3 3 2 + - 1/576 y x z - 1/864 z y x - 1/864 z y x + 1/864 z y x + + 2 2 2 3 2 2 2 2 + + 1/288 x y z , COEFF(-2, -1, 3) = 7/432 z y x + 5/96 x y z + + 2 2 3 2 3 3 + + 1/72 x y z + 5/288 x y z - 1/108 z y x + 7/576 z y x - 1/108 x y z + + 2 2 2 3 2 2 + - 5/144 x y z + 1/54 x y z - 7/864 z y x - 5/192 x y z + + 3 3 2 3 2 3 3 2 2 + - 7/864 z y x + 5/288 z y x + 1/72 z y x - 7/288 y x z + + 2 2 2 2 3 3 2 + - 1/36 x y z - 5/192 z y x + 7/576 y x z , COEFF(-1, -1, 3) = + + 25 2 2 2 35 3 2 2 3 2 3 + - -- x y z + --- y x z + 2/27 x y z - 7/72 y x z + 7/108 z y x + 64 192 + + 2 49 3 3 35 3 2 35 2 2 3 2 + - 5/36 x y z + --- z y x - --- z y x + --- z y x - 1/9 x y z + 864 288 192 + + 2 2 35 2 3 2 2 2 3 3 + + 5/24 x y z - --- z y x + 5/24 x y z - 7/72 z y x + 7/108 z y x + 288 + + 2 25 2 2 49 2 3 3 + - 5/36 x y z + -- x y z - --- z y x , COEFF(0, -1, 3) = + 96 576 + + 2 2 3 2 3 2 2 3 + - 5/12 z y x - 1/9 y z + 7/27 x y z + 7/48 y z + 5/18 z y x + + 49 3 2 3 3 3 2 2 2 3 + + --- z y x - 7/54 z y x - 7/72 z y - 7/18 x y z + 2/9 z y x + 216 + + 2 3 3 3 35 2 2 2 2 49 3 2 2 + + 7/36 z y x - 4/27 z y x - -- x y z - 5/16 y z - --- y x z + 72 144 + + 2 35 2 2 2 2 2 3 3 + + 5/24 y z + -- x y z + 1/6 y z , COEFF(1, -1, 3) = - 7/36 z y x + 48 + + 35 3 2 2 2 2 3 2 2 + - --- z y x + 5/18 x y z - 5/18 z y x + 5/36 x y z + 1/9 x y z + 216 + + 3 2 2 3 2 2 25 2 2 3 + + 7/72 y x z - 2/9 z y x - 5/24 x y z + -- x y z - 7/108 z y x + 72 + + 2 3 3 3 35 3 2 2 2 2 3 + - 5/27 x y z + 7/54 z y x + 4/27 z y x + --- y x z + 5/12 z y x + 144 + + 25 2 2 2 35 2 2 3 + - 2/27 x y z - -- x y z , COEFF(2, -1, 3) = - --- z y x + 48 192 + + 3 2 2 35 2 3 3 2 + - 7/576 y x z - 5/288 x y z + --- z y x + 7/144 z y x + 1/108 x y z + 288 + + 2 3 2 2 49 2 3 3 2 2 2 + + 7/72 z y x + 5/192 x y z + --- z y x + 5/32 x y z + 576 + + 2 2 2 2 2 3 3 2 2 + - 1/12 x y z + 1/18 x y z - 5/48 x y z + 7/864 z y x - 7/96 y x z + + 2 49 3 3 3 + - 1/72 x y z - --- z y x - 7/108 z y x , COEFF(3, -1, 3) = + 864 + + 2 3 2 2 2 2 3 3 2 3 + - 5/288 z y x - 5/192 x y z - 7/576 z y x - 1/72 z y x + + 3 2 2 2 3 2 2 + + 1/108 z y x - 1/108 x y z + 5/192 z y x + 5/288 x y z + + 3 3 3 2 2 2 3 2 2 + + 7/864 z y x - 7/864 z y x + 1/72 x y z + 7/576 y x z , + + 3 2 3 2 2 3 + COEFF(-2, 0, 3) = - 1/27 z y x + 1/54 z y x + 7/144 z y x + + 2 2 3 2 2 3 3 3 + + 7/108 x y z + 1/18 y x z + 1/72 x z + 1/54 z y x + 1/72 z x + + 2 2 2 2 2 2 2 2 3 2 + + 7/144 x y z - 7/72 x y z + 1/24 x z - 1/48 x z - 1/48 x z + + 3 2 2 3 2 2 2 3 3 + - 1/36 y x z - 7/216 z y x - 1/36 x z - 7/216 x y z - 1/36 z y x , + + 49 2 3 3 2 3 2 2 2 + COEFF(-1, 0, 3) = --- z y x + 5/18 z y x + 2/9 y x z - 7/18 x y z + 216 + + 2 2 3 3 35 2 2 2 35 2 2 2 + + 7/27 x y z + 7/36 z y x - -- x y z + 5/24 x z + -- x y z + 72 48 + + 3 49 2 2 3 3 2 2 3 2 + - 7/72 z x - 1/9 x z - --- z y x - 5/12 y x z + 7/48 x z + 144 + + 2 3 3 2 2 3 + + 1/6 x z - 7/54 z y x - 5/16 x z - 4/27 z y x, COEFF(0, 0, 3) = + + 14 3 2 2 2 3 2 2 2 2 + - -- z y x - 7/18 y z - 1/4 z + 1/6 z + 7/9 y x z + 7/12 x z + 27 + + 14 2 3 2 2 3 2 3 3 2 + - -- z y x + 7/12 y z + 2/9 z y - 4/9 z y x - 7/18 x z + 27 + + 3 3 49 2 2 3 2 49 2 2 2 3 + + 8/27 z y x + -- x y z - 1/3 x z - -- x y z + 2/9 z x + 54 36 + + 2 2 3 3 2 10 3 2 3 2 + + 7/9 z y x - 1/3 y z , COEFF(1, 0, 3) = -- z y x + 1/3 x z + 27 + + 2 35 2 2 2 3 2 2 3 + - 1/6 x z + 1/9 x z + -- x y z + 4/27 z y x - 5/12 x z - 2/9 z x + 36 + + 2 2 2 3 2 2 3 3 14 2 3 + + 5/18 x z + 7/18 x y z - 2/9 y x z + 4/9 z y x + -- z y x + 27 + + 35 2 2 2 2 3 2 3 2 2 3 3 + - -- x y z - 7/9 z y x - 7/27 x y z - 5/9 y x z - 8/27 z y x , + 54 + + 2 2 2 2 2 3 3 + COEFF(2, 0, 3) = - 1/72 x z + 1/8 x z - 7/24 x y z + 7/54 z y x + + 2 2 2 2 3 49 2 2 3 + - 7/144 x y z + 7/216 x y z - 1/12 x z - 1/54 z y x + --- z y x + 144 + + 49 2 3 3 2 2 2 3 2 2 3 3 + - --- z y x + 1/6 y x z + 1/48 x z - 7/48 x z - 7/36 z y x + 216 + + 3 3 2 3 2 2 2 + + 7/72 z x + 1/36 y x z - 1/9 z y x + 7/36 x y z, COEFF(3, 0, 3) = + + 2 2 3 3 2 2 2 3 3 2 2 + - 7/144 z y x - 1/36 y x z + 7/216 z y x + 1/48 x z + 1/72 x z + + 3 3 3 2 2 2 3 3 + - 1/72 z x - 1/54 z y x - 7/216 x y z + 1/36 z y x + + 2 2 2 3 2 2 2 + + 7/144 x y z + 1/54 z y x - 1/48 x z , COEFF(-2, 1, 3) = + + 2 2 2 2 2 2 2 3 3 2 + - 5/108 x y z + 5/72 x y z - 5/144 z y x + 1/36 y x z + + 2 2 2 2 2 3 2 + - 5/144 x y z + 5/216 x y z + 1/36 x y z + 1/27 z y x + + 2 3 3 3 2 3 2 3 + + 1/36 z y x + 1/108 x y z - 1/54 z y x + 5/216 z y x - 1/72 z y x + + 2 3 3 2 3 2 2 3 + - 1/54 x y z - 1/54 z y x - 1/72 x y z - 1/18 y x z + 1/108 z y x , + + 3 35 2 2 3 35 2 3 + COEFF(-1, 1, 3) = - 2/27 x y z - 7/108 z y x + --- z y x - --- z y x + 144 216 + + 2 2 3 3 2 3 2 3 3 2 + - 5/24 x y z + 7/54 z y x + 7/72 z y x - 7/36 z y x - 5/27 x y z + + 2 2 2 3 2 2 25 2 2 3 2 + + 5/36 x y z + 5/18 x y z + 5/12 y x z + -- x y z - 5/18 z y x + 72 + + 3 2 3 2 25 2 2 2 + - 2/9 y x z + 4/27 z y x + 1/9 x y z - -- x y z , COEFF(0, 1, 3) = + 48 + + 2 3 2 2 2 2 3 10 2 3 + - 1/6 y z - 2/9 z y + 7/18 x y z - 5/9 z y x + -- z y x + 27 + + 3 2 2 2 2 2 3 2 + - 7/9 y x z - 7/27 x y z - 5/12 y z + 1/3 y z + 1/9 y z + + 14 3 2 35 2 2 2 3 3 3 + + -- z y x - -- x y z + 5/18 y z - 8/27 z y x + 4/27 z y x + 27 54 + + 2 3 35 2 2 2 2 3 3 3 + - 2/9 z y x + -- x y z + 4/9 z y x , COEFF(1, 1, 3) = - 4/27 z y x + 36 + + 3 3 3 2 2 3 2 2 3 + + 8/27 z y x + 2/9 y x z - 1/9 x y z + 5/9 y x z - 4/27 z y x + + 25 2 2 2 25 2 2 2 3 2 2 2 + - -- x y z + -- x y z + 2/9 z y x + 5/27 x y z - 5/18 x y z + 36 54 + + 10 3 2 10 2 3 2 2 2 2 3 + - -- z y x + 2/27 x y z - -- z y x - 5/18 x y z + 5/9 z y x + 27 27 + + 2 2 3 3 + + 5/27 x y z - 4/9 z y x , COEFF(2, 1, 3) = - 1/108 x y z + + 3 2 2 3 3 2 2 2 3 + - 1/36 y x z + 7/36 z y x + 5/144 x y z - 7/72 z y x + + 2 3 2 2 2 35 2 2 3 3 2 2 + - 1/18 x y z + 1/9 z y x - 5/36 x y z - --- z y x - 1/6 y x z + 144 + + 2 2 2 2 2 3 3 3 3 + + 5/24 x y z + 1/12 x y z + 1/54 z y x + 7/108 z y x - 7/54 z y x + + 2 35 2 3 2 + - 5/216 x y z + --- z y x + 1/72 x y z , COEFF(3, 1, 3) = + 216 + + 2 2 3 3 2 2 2 2 2 + 5/144 z y x - 1/54 z y x + 1/108 x y z - 5/144 x y z + + 2 3 2 2 2 2 3 3 + + 1/72 z y x - 1/72 x y z + 5/216 x y z + 1/54 z y x + + 2 3 3 3 2 2 3 2 3 + - 1/36 z y x + 1/36 y x z - 1/108 z y x - 5/216 z y x , + + 2 3 3 2 2 3 3 + COEFF(-2, 2, 3) = - 1/144 z y x + 7/288 y x z + 7/864 z y x + + 2 2 3 3 2 2 2 2 2 + + 1/576 x y z - 7/576 z y x - 1/48 x y z + 1/96 x y z + + 2 2 2 2 3 3 2 2 + - 1/288 x y z + 1/96 z y x + 7/864 z y x + 1/72 x y z + + 2 3 2 2 + + 1/576 z y x - 1/864 x y z + 1/432 x y z - 1/144 x y z + + 3 2 3 3 2 + - 7/576 y x z - 1/864 z y x - 7/432 z y x , COEFF(-1, 2, 3) = + + 49 3 3 2 2 2 2 + - --- z y x + 1/108 x y z - 5/48 x y z - 1/72 x y z + 1/18 x y z + 864 + + 35 3 2 2 3 2 3 3 + - --- y x z - 7/108 z y x - 7/576 z y x + 7/864 z y x + 192 + + 2 2 3 35 3 2 49 2 3 3 2 2 2 + - 7/96 z y x + --- z y x + --- z y x + 5/32 x y z + 288 576 + + 2 2 2 3 2 2 3 + - 5/288 x y z + 5/192 x y z + 7/72 y x z + 7/144 z y x + + 2 2 2 3 3 2 2 + - 1/12 x y z , COEFF(0, 2, 3) = - 7/36 z y x + 7/36 x y z + + 3 3 2 3 49 3 2 2 + + 7/54 z y x + 1/36 z y x - 1/72 y z - --- z y x - 1/12 y z + 216 + + 2 2 3 2 2 49 3 2 2 3 3 2 + + 1/6 z y x + 1/8 y z + --- y x z + 7/72 z y - 7/48 y z + 144 + + 2 2 2 2 2 3 2 2 3 + + 7/216 x y z - 7/24 x y z - 1/9 z y x - 7/144 x y z - 1/54 z y x + + 2 2 2 2 2 3 2 + + 1/48 y z , COEFF(1, 2, 3) = 5/144 x y z + 1/12 x y z - 7/72 y x z + + 2 3 35 3 2 2 3 2 2 3 + - 1/108 x y z - 1/36 z y x - --- y x z + 7/108 z y x - 1/6 z y x + 144 + + 2 3 3 2 2 3 2 + - 5/216 x y z - 7/54 z y x - 1/18 x y z + 1/9 z y x + 1/72 x y z + + 3 35 3 2 2 2 2 2 2 2 3 3 + + 1/54 z y x + --- z y x - 5/36 x y z + 5/24 x y z + 7/36 z y x + 216 + + 2 2 3 2 49 2 3 3 + , COEFF(2, 2, 3) = - 1/96 x y z + 7/576 y x z - --- z y x + 576 + + 2 2 2 2 2 3 + + 1/864 x y z + 1/144 x y z - 1/16 x y z + 7/576 z y x + + 2 2 3 3 2 2 2 2 + + 1/24 x y z - 7/864 z y x + 7/96 y x z - 1/96 x y z + + 2 2 3 2 49 3 3 2 3 + + 7/96 z y x - 1/576 x y z + --- z y x - 7/144 z y x + 864 + + 2 3 3 2 + + 1/144 x y z - 7/864 z y x - 7/144 z y x , COEFF(3, 2, 3) = + + 2 2 2 2 3 2 2 3 2 3 3 + 1/96 x y z - 1/576 z y x - 1/96 z y x + 7/576 z y x + + 3 2 2 3 2 2 2 2 2 + - 7/576 y x z + 7/864 z y x + 1/576 x y z - 1/144 x y z + + 2 3 3 3 2 3 + + 1/144 z y x - 7/864 z y x - 1/864 x y z + 1/864 z y x , + + 2 2 2 2 3 2 3 3 + COEFF(-2, 3, 3) = - 1/432 x y z - 1/576 z y x + 1/576 z y x + + 2 2 3 2 2 2 2 3 2 + - 1/576 x y z + 1/432 z y x + 1/288 x y z + 1/576 y x z + + 2 3 2 3 3 3 + + 1/864 z y x + 1/864 x y z - 1/864 z y x - 1/864 z y x + + 3 2 2 3 3 2 + - 1/288 y x z , COEFF(-1, 3, 3) = 1/108 z y x - 5/288 z y x + + 2 2 3 2 2 2 3 3 2 3 + + 1/72 x y z + 5/192 y x z - 7/576 z y x - 7/864 z y x + + 2 3 3 3 2 2 2 + - 1/108 x y z + 7/864 z y x - 1/72 y x z + 5/288 x y z + + 2 2 2 2 2 3 3 2 + - 5/192 x y z + 7/576 z y x , COEFF(0, 3, 3) = 7/216 z y x + + 2 2 2 2 3 3 3 2 2 + - 7/216 x y z - 1/48 y z - 1/54 z y x - 7/144 y x z + + 2 2 3 2 3 3 3 3 2 2 + - 1/36 z y x + 1/36 z y x - 1/72 z y + 1/48 y z + 1/72 y z + + 2 2 2 2 3 2 2 + + 7/144 x y z + 1/54 z y x , COEFF(1, 3, 3) = - 1/72 x y z + + 2 2 3 3 3 3 3 2 + + 1/36 z y x + 1/54 z y x - 1/108 z y x + 1/72 y x z + + 2 2 2 2 2 3 2 2 + + 5/216 x y z - 5/144 x y z - 5/216 z y x + 1/108 x y z + + 3 2 2 2 3 3 2 3 + + 5/144 y x z - 1/36 z y x - 1/54 z y x , COEFF(2, 3, 3) = + + 2 2 2 2 3 2 3 2 + - 1/144 x y z - 7/576 z y x - 1/864 x y z - 1/576 y x z + + 2 3 3 2 2 2 3 2 2 3 3 + + 7/576 z y x + 1/96 x y z - 1/96 y x z - 7/864 z y x + + 2 2 3 2 3 2 3 + + 1/576 x y z + 1/144 z y x + 1/864 z y x + 7/864 z y x , + + 2 2 3 2 2 2 2 + COEFF(3, 3, 3) = 1/864 x y z - 1/864 z y x - 1/576 x y z + + 3 3 3 2 2 2 2 3 2 3 + + 1/864 z y x + 1/576 y x z + 1/576 z y x - 1/864 z y x + + 2 3 3 + - 1/576 z y x ] + +> 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+ 1/216 y z + 1/216 y z - 1/432 y z - 1/432 y z - 1/432 z y + + 2 2 2 3 2 3 3 + - 1/144 x y z - 1/108 y z + 1/288 z y x - 1/144 x y z + 1/288 z y x + + 2 3 3 3 + + 1/216 y z + 1/288 x y z - 1/432 z y + 1/288 x y z , COEFF(-1, -2, -2) + + 2 3 2 3 3 + = - 5/144 y z - 7/288 x y z + 7/144 x y z + 5/288 y z + 5/288 z y + + 2 2 3 3 3 3 2 3 + - 5/144 y z + 7/144 x y z + 5/288 y z - 7/288 z y x - 5/144 y z + + 3 3 2 3 2 + + 5/288 z y - 7/288 z y x - 7/288 x y z + 7/144 x y z - 5/144 y z + + 3 2 2 2 2 2 2 + + 7/144 y x z + 5/72 y z - 7/72 x y z , COEFF(0, -2, -2) = 7/108 y z + + 2 2 3 2 2 2 2 + - 1/9 x y z - 1/9 x y z + 1/18 x y z + 2/9 x y z - 7/54 y z + + 3 3 2 2 3 2 3 + - 7/216 z y + 7/108 y z - 1/9 x y z + 7/108 y z + 1/18 x y z + + 3 3 3 3 2 + - 7/216 y z - 7/216 y z + 1/18 z y x + 1/18 z y x + 7/108 y z + + 3 2 3 3 2 2 3 + - 1/9 y x z - 7/216 z y , COEFF(1, -2, -2) = 1/9 x y z + 1/9 x y z + + 3 3 3 2 3 2 2 3 + - 1/18 x y z + 5/216 z y - 5/108 y z - 5/108 y z - 5/108 y z + + 2 2 3 2 2 + - 1/18 x y z + 5/216 y z - 2/9 x y z - 1/18 z y x + 5/54 y z + + 3 2 3 2 3 2 + + 5/216 z y + 1/9 x y z + 1/9 y x z + 5/216 y z - 5/108 y z + + 3 3 2 2 3 + - 1/18 z y x, COEFF(2, -2, -2) = 7/72 x y z - 1/144 z y + + 3 3 3 2 2 3 2 + + 7/288 z y x - 7/144 y x z + 1/72 y z - 7/144 x y z + + 2 3 3 2 3 3 + - 7/144 x y z + 7/288 x y z + 7/288 x y z + 1/72 y z - 1/144 z y + + 2 2 2 3 2 3 2 + - 7/144 x y z - 1/36 y z + 1/72 y z + 7/288 z y x + 1/72 y z + + 3 2 2 + - 1/144 y z - 1/144 y z, COEFF(3, -2, -2) = - 1/288 x y z + 1/216 y z + + 2 3 2 2 2 2 3 3 3 + - 1/432 y z + 1/144 y x z - 1/72 x y z - 1/432 y z + 1/864 z y + + 2 2 3 3 3 3 + + 1/144 x y z - 1/432 y z - 1/288 x y z + 1/864 y z - 1/288 z y x + + 2 3 3 3 2 2 + + 1/144 x y z + 1/864 z y - 1/432 y z + 1/144 x y z + 1/864 y z + + 3 3 2 3 2 + - 1/288 z y x, COEFF(-2, -1, -2) = 7/432 z y - 1/27 y z + 7/144 y x z + + 2 2 3 3 3 + + 1/54 y z + 5/72 y z + 7/432 z y - 7/288 z y x - 1/36 x y z + + 2 3 2 3 2 2 2 + - 5/144 y z - 1/36 x y z + 5/96 x y z - 5/48 x y z + 1/18 x y z + + 3 2 2 3 3 3 2 3 + - 7/216 y z - 5/144 y z - 7/288 z y x + 5/96 x y z + 1/54 y z , + + 35 3 2 3 35 3 3 + COEFF(-1, -1, -2) = - 5/36 y z + --- y z + 7/36 x y z - --- z y + 144 288 + + 35 2 2 35 2 3 3 2 + + -- x y z - -- x y z + 7/36 x y z - 5/36 y z - 7/18 x y z + 48 96 + + 25 2 3 49 3 3 25 2 49 3 35 3 49 3 2 + + -- y z + --- z y x + -- y z + --- z y x - --- z y - --- y x z + 96 288 96 288 288 144 + + 25 2 2 2 35 2 2 + - -- y z + 5/18 y z - -- x y z, COEFF(0, -1, -2) = 5/6 x y z + 48 96 + + 35 2 3 49 3 2 3 49 3 2 14 2 + - -- y z - 7/18 z y x + --- z y + 5/6 x y z - --- y z - -- y z + 72 216 108 27 + + 2 2 2 35 2 2 3 49 3 3 + - 5/3 x y z + 8/9 x y z + -- y z - 4/9 x y z - 4/9 x y z + --- z y + 36 216 + + 3 3 35 2 3 3 3 2 + - 7/18 z y x - -- y z + 7/27 y z + 7/27 y z + 7/9 y x z , + 72 + + 10 2 3 3 2 2 + COEFF(1, -1, -2) = - 5/27 y z + -- y z + 7/18 z y x + 5/3 x y z + 27 + + 25 2 35 3 2 35 3 3 25 2 3 3 2 + + -- y z + --- y z - --- z y + -- y z + 4/9 x y z - 8/9 x y z + 72 108 216 72 + + 3 2 25 2 2 2 3 3 + - 7/9 y x z - -- y z - 5/6 x y z + 4/9 x y z + 7/18 z y x + 36 + + 2 3 35 3 49 3 + - 5/6 x y z - 5/27 y z - --- z y , COEFF(2, -1, -2) = - --- z y x + 216 288 + + 2 3 35 2 49 3 2 3 3 2 2 + - 5/48 y z + -- x y z + --- y x z + 7/144 z y + 5/24 y z + 96 144 + + 3 3 3 + + 1/18 y z + 1/18 y z + 7/144 z y - 7/36 x y z - 7/36 x y z + + 49 3 3 2 2 35 2 2 35 2 3 + - --- z y x - 5/48 y z - 1/9 y z - -- x y z + -- x y z + 288 48 96 + + 3 2 2 2 3 + - 7/72 y z + 7/18 x y z , COEFF(3, -1, -2) = - 5/96 x y z + + 2 2 3 3 3 + + 5/48 x y z + 7/288 z y x + 1/36 x y z - 7/864 z y - 1/108 y z + + 3 3 3 2 2 2 + - 7/864 z y - 7/144 y x z - 1/108 y z + 5/288 y z + 1/54 y z + + 2 2 3 3 2 3 2 3 + - 5/144 y z + 7/288 z y x + 5/288 y z - 5/96 x y z + 1/36 x y z + + 3 2 2 2 3 + + 7/432 y z - 1/18 x y z , COEFF(-2, 0, -2) = - 7/72 x y z + + 3 3 2 2 3 + + 1/18 z y x - 1/9 y x z + 7/108 y z - 1/36 z + 1/24 x z + + 3 3 3 2 2 2 3 3 + + 1/18 z y x - 1/36 z + 7/108 y z - 7/54 y z - 1/27 z y + + 3 2 3 2 2 3 2 2 + + 2/27 y z + 1/24 x z - 1/12 x z + 1/18 z - 1/27 z y + 7/36 x y z + + 2 3 3 49 2 3 3 3 + - 7/72 x y z, COEFF(-1, 0, -2) = - 7/18 z y x + -- x y z + 5/18 z y + 72 + + 3 49 2 35 2 2 3 2 + + 5/24 z + -- x y z + -- y z + 7/9 y x z + 5/24 z - 7/24 x z + 72 36 + + 2 49 2 2 3 2 2 3 35 2 3 + + 7/12 x z - -- x y z - 5/9 y z - 5/12 z - 7/24 x z - -- y z + 36 72 + + 3 3 35 2 28 3 2 2 + + 5/18 z y - 7/18 z y x - -- y z, COEFF(0, 0, -2) = -- y z + 7/9 z + 72 27 + + 2 49 2 2 3 2 2 2 3 3 + - 14/9 x y z - -- y z - 7/18 z + 28/9 x y z - 4/3 x z + 8/9 z y x + 27 + + 14 3 3 3 14 3 3 2 + - 7/18 z - -- z y + 8/9 z y x - -- z y - 16/9 y x z + 2/3 x z + 27 27 + + 2 3 3 49 2 3 49 2 10 3 3 + - 14/9 x y z + 2/3 x z + -- y z + -- y z, COEFF(1, 0, -2) = -- z y + 54 54 27 + + 2 3 2 2 2 2 10 3 + + 5/18 z + 14/9 x y z - 28/9 x y z - 5/9 z + 14/9 x y z + -- z y + 27 + + 35 2 3 35 2 3 3 3 3 2 + - -- y z - -- y z - 2/3 x z - 8/9 z y x - 2/3 x z + 16/9 y x z + 54 54 + + 20 3 2 3 3 2 35 2 2 + - -- y z - 8/9 z y x + 5/18 z + 4/3 x z + -- y z , COEFF(2, 0, -2) + 27 27 + + 2 49 2 2 3 2 3 3 3 2 + = - 7/12 x z + -- x y z - 7/9 y x z + 7/18 z y x + 2/9 y z + 36 + + 2 2 3 2 3 3 + + 7/24 x z - 7/18 y z - 1/12 z + 7/24 x z + 7/36 y z - 1/9 z y + + 3 49 2 2 2 3 49 2 3 + - 1/12 z - -- x y z + 7/36 y z + 1/6 z + 7/18 z y x - -- x y z + 72 72 + + 3 3 2 3 2 2 2 + - 1/9 z y , COEFF(3, 0, -2) = - 7/216 y z + 1/12 x z + 7/108 y z + + 3 3 2 2 3 2 2 + - 1/18 z y x - 1/24 x z - 7/36 x y z + 1/9 y x z - 1/36 z + + 3 2 3 3 2 3 2 + - 1/18 z y x + 7/72 x y z - 1/27 y z + 1/72 z + 1/72 z - 7/216 y z + + 3 3 3 3 2 + + 1/54 z y + 1/54 z y - 1/24 x z + 7/72 x y z, COEFF(-2, 1, -2) = + + 2 3 3 2 3 2 2 + 5/72 x y z + 1/36 x y z - 1/18 x y z - 1/54 y z - 5/36 x y z + + 2 2 3 2 2 3 2 3 3 + + 5/54 y z + 1/9 y x z + 1/27 y z - 2/27 y z + 1/27 z y + + 2 3 3 2 3 3 + + 5/72 x y z - 1/18 z y x - 5/108 y z - 1/18 z y x + 1/36 x y z + + 2 3 3 + - 5/108 y z + 1/27 z y - 1/54 y z, COEFF(-1, 1, -2) = - 5/18 z y + + 3 2 25 2 25 2 2 35 2 3 + + 5/9 y z + -- y z + 5/36 y z - -- y z - -- x y z - 7/36 x y z + 72 36 72 + + 2 3 3 3 2 35 2 2 + + 7/18 x y z + 5/36 y z - 7/36 x y z - 7/9 y x z + -- x y z + 36 + + 2 3 3 3 3 35 2 3 + - 5/18 y z - 5/18 z y + 7/18 z y x - -- x y z + 7/18 z y x + 72 + + 25 2 3 3 3 2 2 2 + + -- y z , COEFF(0, 1, -2) = - 8/9 z y x - 20/9 x y z + 10/9 x y z + 72 + + 35 2 3 14 3 3 14 3 35 2 28 3 2 3 + - -- y z + -- z y + -- z y - -- y z - -- y z + 4/9 x y z + 54 27 27 54 27 + + 2 3 3 3 2 + + 10/9 x y z - 7/27 y z + 4/9 x y z - 8/9 z y x - 8/9 x y z + + 35 2 2 3 2 14 2 + - 7/27 y z + -- y z + 16/9 y x z + -- y z , COEFF(1, 1, -2) = + 27 27 + + 10 2 2 3 2 2 3 + - 4/9 x y z - -- y z - 10/9 x y z + 20/9 x y z + 5/27 y z + 27 + + 3 3 25 2 3 25 2 2 3 2 3 + + 8/9 z y x + -- y z - -- y z - 16/9 y x z + 5/27 y z - 4/9 x y z + 54 27 + + 3 20 3 2 2 10 3 3 10 3 2 + + 8/9 z y x + -- y z - 10/9 x y z - -- z y - -- z y + 8/9 x y z + 27 27 27 + + 25 2 35 2 3 3 2 2 + + -- y z, COEFF(2, 1, -2) = -- x y z + 7/36 x y z + 5/18 y z + 54 72 + + 35 2 3 3 2 3 2 + + -- x y z + 7/36 x y z + 1/9 z y - 1/18 y z - 5/36 y z - 7/18 x y z + 72 + + 35 2 2 3 3 3 3 2 2 + - -- x y z - 7/18 z y x + 1/9 z y + 7/9 y x z - 5/36 y z + 36 + + 3 2 3 2 3 + - 2/9 y z - 1/18 y z + 1/9 y z - 7/18 z y x, COEFF(3, 1, -2) = + + 2 3 2 2 2 3 + - 1/36 x y z - 1/54 y z - 1/9 y x z + 5/36 x y z + 1/108 y z + + 3 3 3 2 3 3 + + 1/108 y z - 1/36 x y z + 1/18 z y x + 5/216 y z - 1/54 z y + + 2 2 3 2 2 2 3 + + 1/18 x y z - 5/72 x y z + 1/27 y z - 5/108 y z + 1/18 z y x + + 2 3 2 3 3 + - 5/72 x y z + 5/216 y z - 1/54 z y , COEFF(-2, 2, -2) = 1/432 y z + + 3 2 2 2 2 2 3 + + 1/432 y z - 1/36 y z - 1/48 x y z + 1/24 x y z - 1/288 x y z + + 3 2 2 3 3 2 + + 7/216 y z - 1/288 x y z - 1/48 x y z + 7/288 z y x + 1/72 y z + + 3 3 2 3 2 3 3 2 3 + + 7/288 z y x - 1/216 y z - 7/144 y x z - 7/432 z y + 1/72 y z + + 2 3 2 + + 1/144 x y z - 7/432 z y , COEFF(-1, 2, -2) = - 5/48 y z - 5/288 y z + + 2 49 3 2 3 49 3 3 35 3 3 + + 7/48 x y z - --- z y x + 7/48 x y z - --- z y x + --- z y + 288 288 288 + + 2 2 35 3 2 49 3 2 3 2 3 + + 5/24 y z - --- y z + --- y x z - 5/288 y z - 5/48 y z + 144 144 + + 3 35 3 2 2 2 2 + + 7/288 x y z + --- z y + 5/144 y z - 7/144 x y z - 7/24 x y z + 288 + + 2 2 3 2 3 3 + + 7/288 x y z, COEFF(0, 2, -2) = - 7/18 y z - 7/9 y x z + 7/18 z y x + + 2 2 3 2 2 + - 7/108 y z + 7/216 y z + 7/36 y z - 1/18 x y z + 2/3 x y z + + 2 49 3 3 2 2 3 49 3 2 + + 1/9 x y z - --- z y + 7/216 y z + 7/36 y z - 1/3 x y z + --- y z + 216 108 + + 2 49 3 3 3 3 + - 1/3 x y z - --- z y - 1/18 x y z + 7/18 z y x, COEFF(1, 2, -2) = + 216 + + 3 3 35 3 2 2 3 2 35 3 3 + 1/18 x y z - 7/18 z y x + --- z y + 5/18 y z + 7/9 y x z + --- z y + 216 216 + + 2 3 2 3 2 + - 1/9 x y z + 1/18 x y z + 1/3 x y z + 1/3 x y z - 5/216 y z + + 2 2 2 35 3 2 2 3 3 + - 5/36 y z - 2/3 x y z - --- y z - 5/36 y z - 7/18 z y x + 108 + + 3 2 3 3 + - 5/216 y z + 5/108 y z , COEFF(2, 2, -2) = 1/144 y z - 7/144 z y + + 2 2 2 3 49 3 3 2 49 3 + - 1/12 y z + 1/24 y z + --- z y x + 1/24 y z + --- z y x + 288 288 + + 49 3 2 2 3 3 2 2 + - --- y x z + 7/144 x y z + 1/144 y z - 7/288 x y z + 7/24 x y z + 144 + + 2 2 3 2 3 + - 7/48 x y z - 1/72 y z - 7/288 x y z - 7/144 z y - 7/48 x y z + + 3 2 3 3 2 + + 7/72 y z , COEFF(3, 2, -2) = - 7/288 z y x + 1/48 x y z - 1/864 y z + + 3 3 2 3 2 2 2 + + 7/864 z y - 1/144 y z - 1/24 x y z + 1/432 y z + 1/288 x y z + + 3 2 2 2 2 3 2 3 + + 7/144 y x z + 1/72 y z + 1/48 x y z - 1/144 x y z - 1/864 y z + + 3 3 2 3 3 2 + + 1/288 x y z - 7/288 z y x - 1/144 y z + 7/864 z y - 7/432 y z , + + 3 3 2 2 3 + COEFF(-2, 3, -2) = - 1/288 z y x - 1/216 y z + 1/288 x y z + + 3 2 2 2 2 3 3 2 2 + + 1/144 y x z + 1/216 y z - 1/432 y z + 1/432 z y - 1/144 x y z + + 2 3 3 3 2 3 + - 1/432 y z - 1/288 z y x + 1/288 x y z + 1/432 z y , + + 3 2 3 2 + COEFF(-1, 3, -2) = - 5/288 z y - 7/288 x y z - 7/288 x y z + + 3 2 3 3 2 3 2 2 3 2 + - 7/144 y x z - 5/288 z y + 5/288 y z - 5/144 y z + 5/144 y z + + 3 3 3 2 2 2 + + 7/288 z y x + 7/288 z y x + 7/144 x y z + 5/288 y z, + + 3 3 3 2 2 3 3 + COEFF(0, 3, -2) = 7/216 z y - 1/18 z y x + 7/108 y z + 7/216 z y + + 2 3 2 2 3 2 2 3 + - 7/216 y z - 1/18 z y x - 1/9 x y z + 1/9 y x z + 1/18 x y z + + 2 3 2 2 3 + + 1/18 x y z - 7/108 y z - 7/216 y z , COEFF(1, 3, -2) = + + 2 3 2 2 3 3 2 3 2 + - 1/18 x y z + 1/9 x y z + 1/18 z y x + 5/216 y z + 5/108 y z + + 2 3 3 2 2 3 3 + - 1/18 x y z - 5/216 z y - 5/108 y z + 1/18 z y x - 5/216 z y + + 2 3 3 2 3 2 + + 5/216 y z - 1/9 y x z , COEFF(2, 3, -2) = 7/144 y x z + + 2 2 2 2 2 3 3 + - 7/144 x y z + 1/72 y z + 7/288 x y z - 7/288 z y x + 1/144 z y + + 2 3 3 2 3 3 3 2 3 + - 1/144 y z + 1/144 z y + 7/288 x y z - 7/288 z y x - 1/144 y z + + 3 2 3 2 3 3 + - 1/72 y z , COEFF(3, 3, -2) = - 1/144 y x z + 1/288 z y x + + 2 3 2 3 2 2 2 + - 1/288 x y z - 1/288 x y z - 1/864 z y - 1/432 y z + 1/864 y z + + 3 3 3 2 2 3 2 2 3 + + 1/288 z y x - 1/864 z y + 1/144 x y z + 1/432 y z + 1/864 y z , + + 3 3 2 2 2 + COEFF(-2, -2, -1) = - 7/288 z y x - 5/48 x y z + 5/96 x y z + + 2 3 3 3 3 2 3 + - 7/216 y z + 7/432 z y - 5/144 y z + 1/54 z y - 1/36 x y z + + 2 2 3 2 3 3 + + 5/72 y z + 1/54 y z - 1/36 z y x + 7/144 x y z - 7/288 x y z + + 3 2 2 2 3 2 + + 7/432 y z - 1/27 y z + 1/18 x y z - 5/144 y z + 5/96 y x z , + + 35 3 3 35 3 2 25 3 2 + COEFF(-1, -2, -1) = - --- z y - -- y x z + -- y z - 5/36 y z + 288 96 96 + + 35 3 25 2 35 2 3 2 3 + - --- y z + -- y z + --- y z + 7/36 x y z - 7/18 x y z - 5/36 z y + 288 96 144 + + 25 2 2 2 35 2 2 49 3 35 2 49 2 3 + - -- y z + 5/18 y z + -- x y z + --- x y z - -- x y z - --- x y z + 48 48 288 96 144 + + 3 49 3 3 35 2 + + 7/36 z y x + --- z y x, COEFF(0, -2, -1) = - 4/9 x y z - -- y z + 288 72 + + 3 2 2 3 2 49 2 3 + + 5/6 y x z + 8/9 x y z - 7/18 x y z + 5/6 x y z - --- y z + 108 + + 14 2 3 49 3 2 3 3 + - -- y z - 4/9 z y x + --- y z + 7/9 x y z + 7/27 y z + 7/27 z y + 27 216 + + 35 2 2 35 3 2 3 3 2 2 49 3 3 + + -- y z - -- y z - 7/18 z y x - 5/3 x y z + --- z y , + 36 72 216 + + 35 3 3 2 3 35 2 3 + COEFF(1, -2, -1) = - --- z y - 7/9 x y z + --- y z + 4/9 x y z + 216 108 + + 25 2 3 2 2 3 2 2 + + -- y z + 7/18 x y z + 5/3 x y z - 5/6 y x z - 5/6 x y z + 72 + + 35 3 25 2 2 3 3 3 10 2 25 3 2 + - --- y z - -- y z + 4/9 z y x + 7/18 z y x + -- y z + -- y z + 216 36 27 72 + + 3 2 49 3 + - 5/27 z y - 8/9 x y z - 5/27 y z, COEFF(2, -2, -1) = - --- x y z + 288 + + 3 2 3 3 2 2 + - 7/36 z y x - 5/48 y z + 7/144 z y + 5/24 y z + 1/18 y z + + 2 3 2 49 2 3 3 + + 7/18 x y z - 5/48 y z + --- x y z - 7/36 x y z + 1/18 z y + 144 + + 35 2 2 3 35 3 2 35 2 49 3 3 + - -- x y z + 7/144 y z + -- y x z + -- x y z - --- z y x + 48 96 96 288 + + 2 3 2 3 + - 7/72 y z - 1/9 y z, COEFF(3, -2, -1) = 1/36 x y z - 7/864 y z + + 2 3 3 2 3 2 2 3 + + 1/54 y z + 7/288 z y x - 7/144 x y z - 5/144 y z + 1/36 z y x + + 3 3 2 2 2 3 2 2 3 + - 7/864 z y + 5/288 y z + 5/48 x y z + 5/288 y z + 7/432 y z + + 3 2 2 3 + + 7/288 x y z - 5/96 x y z - 1/18 x y z - 1/108 y z - 1/108 z y + + 3 2 35 2 3 2 + - 5/96 y x z , COEFF(-2, -1, -1) = - 4/27 y z - -- x y z + 5/18 y z + 96 + + 3 25 2 2 2 2 35 3 2 49 3 3 + - 7/54 z y + -- x y z + 5/18 y z - 5/12 x y z + --- y z - --- z y + 32 144 432 + + 3 35 2 3 3 49 3 3 + + 7/36 z y x + --- y z + 7/36 x y z + --- z y x + 2/9 x y z + 144 288 + + 35 3 2 25 2 2 3 2 + - -- y x z - -- y z - 7/54 y z - 5/12 x y z, COEFF(-1, -1, -1) = + 96 48 + + 245 3 3 49 3 25 2 245 2 3 35 2 245 3 2 + --- z y - -- x y z - -- y z + --- x y z + -- x y z + --- y x z + 288 36 12 96 12 96 + + 35 3 343 3 3 175 2 2 35 3 49 3 35 2 + + -- z y - --- z y x - --- x y z + -- y z - -- z y x + -- x y z + 36 288 32 36 36 12 + + 175 3 2 25 2 125 2 2 175 2 3 + - --- y z - -- y z + --- y z + 10/9 y z - --- y z - 14/9 x y z, + 96 12 32 96 + + 175 2 2 49 3 3 49 3 49 3 56 + COEFF(0, -1, -1) = - --- y z + -- z y x - -- y z - -- z y - -- y z + 24 18 27 27 27 + + 2 2 2 3 2 2 3 + + 35/9 y z + 25/2 x y z - 35/6 y x z + 35/9 y z + 28/9 x y z + + 245 2 3 2 3 343 3 3 2 + + --- y z - 20/3 x y z + 28/9 z y x - --- z y - 20/3 x y z + 72 216 + + 2 3 245 3 2 2 + + 32/9 x y z - 35/6 x y z + --- y z , COEFF(1, -1, -1) = 20/3 x y z + 72 + + 35 3 2 125 2 2 2 2 35 3 175 2 3 + + -- z y - 25/9 y z + --- y z - 25/2 x y z + -- y z - --- y z + 27 24 27 72 + + 49 3 3 175 3 2 3 2 3 245 3 3 + - -- z y x - --- y z - 28/9 z y x + 35/6 x y z + --- z y + 18 72 216 + + 2 3 2 40 2 + + 20/3 x y z + 35/6 y x z - 32/9 x y z + -- y z - 25/9 y z + 27 + + 3 3 49 3 3 + - 28/9 x y z , COEFF(2, -1, -1) = 14/9 x y z - 7/18 y z - --- z y + 144 + + 35 2 49 3 49 3 2 3 245 2 3 + - -- x y z + -- z y x + -- x y z + 5/6 y z - 7/18 z y - --- x y z + 12 36 36 96 + + 35 3 2 25 2 2 35 2 3 343 3 3 2 + + -- y z - -- y z + -- y z + --- z y x + 5/6 y z - 4/9 y z + 48 16 48 288 + + 245 3 2 175 2 2 35 2 3 + - --- y x z + --- x y z - -- x y z, COEFF(3, -1, -1) = 7/108 y z + 96 32 12 + + 3 49 3 3 35 2 3 35 2 3 49 3 3 + - 7/36 x y z + --- z y + -- x y z - --- y z - --- z y x + 864 96 288 288 + + 3 2 2 3 + + 7/108 z y + 2/27 y z - 5/36 y z - 2/9 x y z - 5/36 y z - 7/36 z y x + + 35 3 2 25 2 2 2 25 2 2 35 3 2 + - --- y z - -- x y z + 5/12 x y z + -- y z + -- y x z + 288 32 96 96 + + 2 3 3 3 + + 5/12 x y z, COEFF(-2, 0, -1) = - 7/24 x z - 7/18 z y x - 1/3 x z + + 2 3 2 2 35 2 2 35 2 2 3 2 + + 7/9 x y z - 5/9 y z + 5/8 x z + -- y z - -- x y z + 5/6 y x z + 36 24 + + 3 49 2 3 3 3 2 49 2 3 3 + + 8/27 z y - --- y z + 7/27 z y - 5/12 z + -- x y z + 7/36 z + 108 72 + + 14 2 3 49 3 245 2 2 + + 2/9 z - -- y z - 4/9 z y x, COEFF(-1, 0, -1) = -- x z + --- x y z + 27 24 24 + + 3 2 343 2 3 3 2 2 + + 28/9 z y x + 25/8 z - --- x y z + 7/3 x z + 25/6 y z - 49/9 x y z + 72 + + 175 2 2 49 3 3 3 35 3 35 3 3 2 + - --- y z + -- z y x - 20/9 z y - -- z - -- z y - 35/8 x z + 24 18 24 18 + + 3 2 2 245 2 3 + - 35/6 y x z + 35/9 y z + --- y z - 5/3 z, COEFF(0, 0, -1) = + 72 + + 3 2 2 343 2 3 3 2 + - 64/9 z y x - 70/3 x y z - --- y z - 70/9 y z + 28/9 z + 54 + + 2 49 3 196 2 3 2 98 3 3 112 3 + + 112/9 x y z + -- z - --- y z + 40/3 y x z + -- z y + --- z y + 18 27 27 27 + + 3 3 3 245 2 2 2 3 2 + - 14/3 x z - 56/9 z y x + --- y z + 98/9 x y z - 16/3 x z - 35/6 z + 18 + + 2 2 245 2 3 3 2 + + 10 x z , COEFF(1, 0, -1) = -10 x z + --- y z + 50/9 y z + 54 + + 2 3 80 3 2 2 2 + - 98/9 x y z + 16/3 x z - -- z y + 70/3 x y z - 20/9 z - 112/9 x y z + 27 + + 3 3 3 2 140 2 3 3 35 3 + + 56/9 z y x - 40/3 y x z + --- y z + 64/9 z y x + 14/3 x z - -- z + 27 18 + + 175 2 2 2 70 3 3 49 3 + - --- y z + 25/6 z - -- z y , COEFF(2, 0, -1) = - -- x z + 2/3 z + 18 27 24 + + 3 35 2 2 3 2 3 3 49 3 3 + + 7/12 z + -- y z - 28/9 z y x - 14/9 y z + 7/9 z y - -- z y x + 12 18 + + 2 49 2 3 2 3 2 343 2 3 3 2 + - 5/4 z - -- y z + 49/9 x y z + 35/6 y x z + --- x y z - 5/3 y z + 36 72 + + 245 2 2 2 3 + - --- x y z - 7/3 x z + 35/8 x z + 8/9 z y , COEFF(3, 0, -1) = + 24 + + 35 2 2 3 3 3 2 3 3 + - -- y z - 7/54 z y + 1/3 x z - 5/6 y x z - 7/72 z + 4/9 z y x + 72 + + 49 2 3 3 3 2 3 2 2 49 2 3 + + --- y z + 7/18 z y x + 5/24 z + 5/18 y z - 5/8 x z - -- x y z + 216 72 + + 3 2 3 2 35 2 2 + - 4/27 z y - 7/9 x y z - 1/9 z + 7/24 x z + 7/27 y z + -- x y z , + 24 + + 3 3 3 3 2 + COEFF(-2, 1, -1) = 7/18 z y x - 7/36 x y z - 2/9 x y z - 5/6 y x z + + 2 25 2 2 2 25 2 2 3 + + 5/12 x y z - -- y z - 5/9 x y z + -- x y z + 4/9 z y x + 36 24 + + 3 35 2 3 3 2 35 2 3 + + 7/54 y z - -- x y z + 4/27 y z - 8/27 z y - 5/18 y z + --- y z + 72 108 + + 3 2 10 2 3 3 175 2 3 + + 5/9 y z + -- y z - 7/27 z y , COEFF(-1, 1, -1) = - --- y z + 27 72 + + 2 25 2 2 3 + + 35/9 x y z + -- y z - 25/9 y z + 14/9 x y z - 28/9 z y x + 12 + + 49 3 3 3 2 3 245 2 3 125 2 2 + - -- z y x - 25/6 y z + 20/9 z y + --- x y z + --- y z + 18 72 24 + + 175 2 2 35 3 3 3 2 35 3 35 2 + - --- x y z + -- z y + 35/6 y x z - 10/9 y z - -- y z - -- x y z + 24 18 36 12 + + 49 3 2 49 3 3 2 + + -- x y z , COEFF(0, 1, -1) = - 35/9 y z + -- y z - 40/3 y x z + 36 27 + + 112 3 175 2 2 2 2 3 56 + - --- z y - --- y z + 50/3 x y z + 64/9 z y x + -- y z + 27 18 27 + + 2 3 3 2 140 2 98 3 3 3 3 + - 70/9 x y z + 70/9 y z + --- y z - -- z y + 56/9 z y x + 27 27 + + 3 2 2 245 2 3 + - 28/9 x y z + 20/3 x y z - 80/9 x y z + --- y z - 32/9 x y z, + 54 + + 35 3 80 3 125 2 2 40 2 + COEFF(1, 1, -1) = - -- y z + -- z y + --- y z - -- y z - 20/3 x y z + 27 27 18 27 + + 3 3 3 2 2 3 + - 56/9 z y x + 28/9 x y z + 80/9 x y z + 25/9 y z - 64/9 z y x + + 70 3 3 3 2 3 2 175 2 3 100 2 + + -- z y - 50/9 y z + 40/3 y x z - --- y z - --- y z + 32/9 x y z + 27 54 27 + + 2 2 2 3 3 3 2 + - 50/3 x y z + 70/9 x y z , COEFF(2, 1, -1) = - 7/9 z y - 5/6 y z + + 49 3 3 3 2 25 2 2 + + -- z y x - 35/6 y x z - 14/9 x y z - -- y z + 4/9 y z + 18 12 + + 175 2 2 3 35 2 49 3 2 35 2 3 + + --- x y z + 7/18 y z + -- x y z - -- x y z + 10/9 y z + -- y z + 24 12 36 36 + + 3 3 2 3 245 2 3 2 + - 8/9 z y + 5/3 y z + 28/9 z y x - --- x y z - 35/9 x y z, + 72 + + 25 2 2 3 2 35 2 3 + COEFF(3, 1, -1) = -- y z - 5/18 y z + -- x y z - 2/27 y z + 72 72 + + 3 2 3 35 2 3 25 2 2 + - 4/9 z y x + 5/9 x y z + 7/36 x y z - --- y z - -- x y z + 216 24 + + 3 3 3 3 2 3 2 + + 2/9 x y z - 7/18 z y x + 7/54 z y - 5/12 x y z + 5/6 y x z + + 3 3 2 2 + + 4/27 z y - 7/108 y z - 5/27 y z + 5/36 y z , COEFF(-2, 2, -1) = + + 2 2 2 3 49 3 3 2 3 49 3 3 + 1/6 x y z - 1/9 y z + 7/48 x y z - --- z y x - 7/72 y z + --- z y + 288 432 + + 35 3 2 35 3 2 3 2 2 + - --- y z + -- y x z + 7/54 z y - 1/54 y z - 5/16 x y z + 144 96 + + 2 2 3 2 2 3 + - 5/96 x y z + 5/144 y z - 7/36 z y x + 5/24 y z - 7/432 y z + + 3 245 3 3 35 2 3 + + 7/288 x y z + 1/36 x y z, COEFF(-1, 2, -1) = - --- z y + -- y z + 288 48 + + 175 3 2 245 3 2 35 3 35 3 35 2 25 2 + + --- y z - --- y x z + --- y z - -- z y + -- x y z - -- y z + 96 96 288 36 96 96 + + 2 49 3 49 2 3 2 + - 7/6 x y z - --- x y z - 7/36 x y z + 5/36 y z - -- x y z + 5/6 y z + 288 48 + + 343 3 3 35 2 2 49 3 25 2 2 + + --- z y x + -- x y z + -- z y x - -- y z , COEFF(0, 2, -1) = + 288 16 36 16 + + 49 2 3 49 3 3 343 3 3 35 2 245 3 2 + - -- y z - -- z y x + --- z y + -- y z - 7/27 y z - --- y z + 36 18 216 72 72 + + 2 2 3 2 2 2 35 2 2 + - 14/9 y z + 7/3 x y z + 8/3 x y z + 4/9 x y z - 5 x y z + -- y z + 12 + + 3 49 3 3 3 2 49 3 + + 7/18 x y z + -- z y - 28/9 z y x + 35/6 y x z - --- y z + 27 216 + + 2 35 3 25 2 + - 5/6 x y z , COEFF(1, 2, -1) = - 4/9 x y z + --- y z - -- y z + 216 72 + + 2 2 49 3 3 3 2 2 + + 5 x y z + -- z y x - 7/18 x y z - 8/3 x y z + 10/9 y z + 18 + + 245 3 3 3 2 3 175 3 2 35 2 3 + - --- z y + 5/27 y z + 28/9 z y x - 7/3 x y z + --- y z + -- y z + 216 72 36 + + 25 2 2 35 3 3 2 2 + - -- y z - -- z y - 35/6 y x z + 5/6 x y z , COEFF(2, 2, -1) = + 12 27 + + 49 3 3 2 2 2 3 49 2 3 49 3 + 7/36 x y z + --- z y + 5/8 y z - 7/24 y z + -- x y z + --- x y z + 144 48 288 + + 3 35 2 2 35 2 2 2 49 3 + + 7/18 z y - -- x y z - -- x y z + 5/48 y z + 7/6 x y z - -- z y x + 16 96 36 + + 2 343 3 3 3 245 3 2 35 3 2 + - 1/3 y z - --- z y x - 7/144 y z - 1/18 y z + --- y x z - -- y z , + 288 96 48 + + 3 3 49 3 3 + COEFF(3, 2, -1) = - 7/288 x y z + 1/108 y z + 7/864 y z + --- z y x + 288 + + 49 3 3 2 3 2 35 3 2 + - --- z y - 7/48 x y z + 5/96 x y z - -- y x z - 1/36 x y z + 864 96 + + 2 3 35 3 2 2 3 2 + + 7/144 y z + --- y z - 5/288 y z + 7/36 z y x - 1/6 x y z + 288 + + 2 2 2 3 2 2 + - 5/48 y z + 1/18 y z - 7/108 z y + 5/16 x y z , COEFF(-2, 3, -1) = + + 2 2 3 3 2 2 2 2 + 1/54 y z + 7/432 y z + 5/144 y z + 5/96 x y z - 1/36 x y z + + 3 2 3 3 3 3 2 2 + - 1/54 z y - 7/288 x y z + 7/288 z y x + 1/36 z y x - 5/144 y z + + 3 2 3 3 3 3 + - 5/96 y x z - 7/432 z y , COEFF(-1, 3, -1) = 5/36 z y - 7/36 z y x + + 49 2 3 35 3 2 35 2 3 25 3 2 2 35 2 2 + + --- x y z + -- y x z - --- y z - -- y z - 5/36 y z - -- x y z + 288 96 288 96 96 + + 2 35 3 3 49 3 3 25 2 2 + + 7/36 x y z + --- z y - --- z y x + -- y z , COEFF(0, 3, -1) = + 288 288 96 + + 3 2 2 3 3 3 2 3 + 4/9 z y x + 5/6 x y z - 7/27 z y + 7/18 z y x - 7/18 x y z + + 35 2 2 3 2 35 3 2 49 3 3 2 49 2 3 + - -- y z - 5/6 y x z + -- y z - --- z y + 7/27 y z + --- y z + 72 72 216 216 + + 2 3 25 2 2 3 3 + - 4/9 x y z, COEFF(1, 3, -1) = - 4/9 z y x + -- y z - 7/18 z y x + 72 + + 35 3 3 3 2 2 3 35 2 3 + + --- z y + 5/27 z y + 4/9 x y z + 7/18 x y z - --- y z + 216 216 + + 2 2 25 3 2 2 3 2 + - 5/6 x y z - -- y z - 5/27 y z + 5/6 y x z , COEFF(2, 3, -1) = + 72 + + 3 2 2 2 2 35 2 2 3 + 7/36 z y x - 5/48 y z + 1/18 y z - 7/36 x y z + -- x y z - 1/18 z y + 96 + + 3 3 3 2 49 3 3 2 3 35 3 2 + - 7/144 z y + 5/48 y z + --- z y x + 7/144 y z - -- y x z + 288 96 + + 49 2 3 3 2 3 3 2 + - --- x y z , COEFF(3, 3, -1) = 5/96 y x z - 7/288 z y x - 1/108 y z + 288 + + 2 3 3 3 2 2 2 3 + + 1/36 x y z + 7/864 z y + 1/108 z y - 5/96 x y z - 7/864 y z + + 3 2 2 3 3 2 2 + - 5/288 y z + 7/288 x y z - 1/36 z y x + 5/288 y z , + + 3 2 3 3 2 + COEFF(-2, -2, 0) = 1/24 y x - 1/9 x y z - 1/36 y - 7/72 y x z + + 3 2 3 3 3 3 2 2 2 3 + + 7/108 y z - 1/27 z y - 1/36 y - 1/27 y z - 7/54 y z + 2/27 y z + + 3 2 3 3 2 2 2 + + 1/18 x y z - 1/12 x y + 1/18 z y x + 1/18 y + 7/36 x y z + + 2 2 2 3 + + 1/24 x y - 7/72 x y z + 7/108 y z , COEFF(-1, -2, 0) = 7/9 x y z + + 49 3 2 49 2 3 3 35 2 2 3 + + -- y x z + -- x y z + 5/18 z y + -- y z - 7/24 y x + 5/24 y + 72 72 36 + + 2 35 2 3 49 2 2 2 3 3 + - 5/12 y - -- y z + 5/24 y - -- x y z - 5/9 y z - 7/18 x y z + 72 36 + + 2 3 35 3 2 3 3 + + 7/12 x y + 5/18 y z - -- y z - 7/18 z y x - 7/24 x y, + 72 + + 3 2 2 3 2 + COEFF(0, -2, 0) = - 14/9 y x z - 14/9 x y z - 7/18 y - 4/3 x y + + 2 3 49 2 2 49 2 14 3 3 28 2 3 + + 7/9 y + 2/3 y x - -- y z + -- y z - -- z y + -- y z + 27 54 27 27 + + 2 2 3 3 14 3 2 3 49 3 2 + + 28/9 x y z + 8/9 z y x - -- y z - 16/9 x y z + -- y z + 2/3 x y + 27 54 + + 3 3 20 2 3 10 3 + - 7/18 y + 8/9 x y z , COEFF(1, -2, 0) = - 8/9 x y z - -- y z + -- y z + 27 27 + + 3 2 2 2 3 3 3 35 3 2 + + 14/9 y x z - 28/9 x y z + 5/18 y - 8/9 z y x - 2/3 x y - -- y z + 54 + + 3 2 2 35 2 10 3 3 35 2 2 + - 2/3 y x + 4/3 x y - 5/9 y - -- y z + -- z y + -- y z + 5/18 y + 54 27 27 + + 2 3 2 2 3 49 2 2 + + 16/9 x y z + 14/9 x y z , COEFF(2, -2, 0) = - 7/9 x y z + -- x y z + 36 + + 3 2 3 3 2 3 2 49 3 2 + - 1/12 y + 2/9 y z + 7/18 x y z + 7/36 y z + 7/36 y z - -- y x z + 72 + + 2 2 49 2 3 + + 1/6 y - 1/12 y - 7/12 x y - -- x y z - 1/9 y z + 7/24 x y + 72 + + 3 3 2 2 3 3 3 + + 7/18 z y x - 7/18 y z + 7/24 y x - 1/9 z y , COEFF(3, -2, 0) = + + 3 2 3 3 2 3 2 2 + 7/72 y x z - 1/18 x y z + 1/72 y + 1/9 x y z + 1/12 x y - 1/36 y + + 2 2 2 3 3 3 + - 7/216 y z + 7/108 y z - 1/24 x y + 1/54 z y - 1/24 y x + + 2 2 3 3 3 3 2 + + 7/72 x y z - 1/27 y z + 1/72 y - 1/18 z y x - 7/216 y z + + 3 2 2 49 3 2 3 3 + + 1/54 y z - 7/36 x y z , COEFF(-2, -1, 0) = - --- y z - 7/18 z y x + 108 + + 2 14 2 35 2 2 3 3 + + 7/9 x y z - -- y z - 1/3 x y - -- x y z + 2/9 y + 7/27 z y + 27 24 + + 3 2 3 2 3 3 2 3 + + 8/27 y z - 5/9 y z + 5/6 x y z - 7/24 y x - 5/12 y - 4/9 x y z + + 35 2 2 2 49 3 2 3 + + -- y z + 5/8 x y + -- y x z + 7/36 y , COEFF(-1, -1, 0) = + 36 72 + + 49 3 3 2 3 2 35 3 245 2 2 + -- z y x + 7/3 x y + 25/6 y z - 35/8 x y - -- y + --- x y z + 18 24 24 + + 2 3 35 3 3 3 245 3 2 2 + - 35/6 x y z - -- z y + 28/9 x y z - 5/3 y + --- y z + 35/9 y z + 18 72 + + 2 3 343 3 2 49 3 2 175 2 2 + - 49/9 x y z - 20/9 y z - --- y x z + -- y x + 25/8 y - --- y z , + 72 24 24 + + 2 2 3 343 3 2 3 2 + COEFF(0, -1, 0) = 10 x y + 40/3 x y z - --- y z - 14/3 y x - 35/6 y + 54 + + 3 3 2 2 3 98 3 3 + - 16/3 x y - 56/9 z y x - 70/3 x y z - 64/9 x y z + -- z y + 27 + + 112 3 2 3 3 2 2 196 2 + + --- y z - 70/9 y z + 98/9 y x z + 28/9 y + 112/9 x y z - --- y z + 27 27 + + 49 3 245 2 2 70 3 3 2 + + -- y + --- y z , COEFF(1, -1, 0) = 16/3 x y - -- z y + 25/6 y + 18 18 27 + + 2 2 3 140 2 3 80 3 + - 112/9 x y z + 50/9 y z + --- y z + 14/3 y x - -- y z + 27 27 + + 2 3 3 2 3 2 + - 40/3 x y z - 98/9 y x z + 64/9 x y z - 10 x y - 20/9 y + + 2 2 3 3 35 3 175 2 2 245 3 2 + + 70/3 x y z + 56/9 z y x - -- y - --- y z + --- y z , + 18 18 54 + + 49 3 343 3 2 3 3 + COEFF(2, -1, 0) = - -- y x - 7/3 x y + --- y x z + 7/9 z y + 24 72 + + 2 2 3 3 2 3 49 3 3 + + 49/9 x y z - 5/3 y z + 7/12 y + 35/6 x y z - -- z y x + 18 + + 2 3 2 3 2 35 2 2 + - 14/9 y z - 28/9 x y z - 5/4 y + 8/9 y z + 35/8 x y + -- y z + 12 + + 49 3 2 245 2 2 3 49 3 2 + - -- y z - --- x y z + 2/3 y, COEFF(3, -1, 0) = - 7/72 y - -- y x z + 36 24 72 + + 35 2 2 2 2 3 2 2 3 + - -- y z - 7/9 x y z - 5/8 x y + 7/24 y x + 5/24 y - 5/6 x y z + 72 + + 3 49 3 2 35 2 2 3 3 3 + - 4/27 y z + --- y z + -- x y z - 1/9 y + 7/18 z y x + 4/9 x y z + 216 24 + + 3 3 2 3 2 2 + - 7/54 z y + 5/18 y z + 7/27 y z + 1/3 x y, COEFF(-2, 0, 0) = 7/9 z + + 3 16 3 3 2 2 3 2 2 + - 4/9 z - -- z y + 7/9 y - 7/6 x y - 14/9 y x z - 7/6 x z + 27 + + 3 3 49 2 2 3 3 3 28 3 2 + + 2/3 x z + 2/3 y x - -- y z + 1/2 x + 8/9 z y x - 4/9 y + -- y z + 27 27 + + 49 2 2 28 2 3 2 3 + + -- x y z + -- y z - 1/3 - 14/9 x y z , COEFF(-1, 0, 0) = 5/2 + 18 27 + + 245 2 2 3 3 2 3 2 2 + + --- y z - 56/9 z y x + 49/6 x y - 14/3 x z - 35/6 y + 49/6 x z + 18 + + 3 2 3 3 3 3 343 2 2 3 + - 14/3 y x + 98/9 x y z + 40/9 z y + 10/3 y - --- x y z + 10/3 z + 18 + + 3 2 3 2 2 3 2 + + 98/9 y x z - 7/2 x - 70/9 y z - 70/9 y z - 35/6 z , COEFF(0, 0, 0) + + 392 3 2 2 2 392 2 3 3 3 + = --- y z - 56/3 x y + 98/9 y + --- y z - 56/9 y - 56/9 z + 27 27 + + 686 2 2 2 3 3 2 3 + - --- y z - 14/3 - 56/3 x z + 128/9 z y x - 224/9 x y z + 27 + + 3 2 2 2 224 3 3 2 3 + - 224/9 y x z + 392/9 x y z - --- z y + 98/9 z + 8 x + 32/3 x z + 27 + + 3 2 2 2 2 + + 32/3 y x, COEFF(1, 0, 0) = - 70/9 z - 392/9 x y z - 70/9 y + + 3 160 3 3 2 280 3 2 2 3 + - 32/3 y x + --- z y + 56/3 x y - --- y z - 8 x + 224/9 x y z + 27 27 + + 3 2 3 490 2 2 3 3 3 + + 224/9 y x z - 32/3 x z + --- y z + 40/9 z - 128/9 z y x + 27 + + 280 2 3 3 2 2 + - --- y z + 40/9 y + 10/3 + 56/3 x z , COEFF(2, 0, 0) = - 49/6 x y + 27 + + 3 2 3 343 2 2 3 2 2 + - 4/3 y + 7/3 z + 14/3 x z + --- x y z - 4/3 z + 7/2 x - 49/9 y z + 18 + + 3 2 2 3 3 3 3 2 2 3 + - 98/9 y x z + 28/9 y z - 16/9 z y + 28/9 y z + 7/3 y + 14/3 y x + + 2 3 3 2 3 14 3 2 + - 49/6 x z + 56/9 z y x - 98/9 x y z - 1, COEFF(3, 0, 0) = - -- y z + 27 + + 3 3 2 3 3 3 3 14 2 3 + + 2/9 z + 2/9 y + 7/6 x y - 8/9 z y x - 1/2 x + 8/27 z y - -- y z + 27 + + 2 3 3 2 49 2 2 3 2 + - 7/18 z + 1/6 - 2/3 y x - 2/3 x z + 7/6 x z + -- y z + 14/9 y x z + 54 + + 49 2 2 2 3 2 3 2 + - -- x y z + 14/9 x y z - 7/18 y , COEFF(-2, 1, 0) = 14/9 y x z + 18 + + 28 3 2 3 16 3 3 3 3 14 2 2 + - -- y z + 4/9 y + -- z y - 8/9 z y x + -- y z - 7/9 x y z + 27 27 27 + + 35 2 2 2 20 2 3 3 2 2 3 + - -- x y z - 5/9 y - -- y z - 2/3 y x + 5/6 x y + 10/9 x y z + 18 27 + + 35 2 2 3 3 + + 1/3 x y - 2/9 y + -- y z + 4/9 x y z - 8/27 y z , COEFF(-1, 1, 0) = + 27 + + 3 245 2 2 3 3 3 175 2 2 + - 28/9 x y z + 5/3 y + --- x y z + 14/3 y x + 56/9 z y x - --- y z + 18 18 + + 2 3 2 3 2 2 3 + - 35/9 y z + 20/9 y z + 49/9 x y z - 98/9 y x z - 70/9 x y z + + 3 2 3 3 2 2 3 + + 70/9 y z - 40/9 z y + 25/6 y - 35/6 x y - 7/3 x y - 10/3 y + + 2 3 3 2 2 + + 50/9 y z , COEFF(0, 1, 0) = 224/9 y x z - 112/9 x y z - 28/9 y + + 2 2 3 280 2 3 224 3 3 3 + - 280/9 x y z + 56/9 y - --- y z + 16/3 x y + --- z y + 64/9 x y z + 27 27 + + 2 196 2 392 3 2 2 2 3 112 3 + + 40/3 x y + --- y z - --- y z - 70/9 y + 160/9 x y z - --- y z + 27 27 27 + + 3 3 3 490 2 2 3 3 + - 128/9 z y x - 32/3 y x + --- y z , COEFF(1, 1, 0) = 128/9 z y x + 27 + + 2 160 3 3 2 2 200 2 3 350 2 2 + + 50/9 y - --- z y + 280/9 x y z - 16/3 x y + --- y z - --- y z + 27 27 27 + + 3 80 3 3 2 140 2 2 + + 32/3 y x + -- y z - 224/9 y x z - --- y z - 40/3 x y + 20/9 y + 27 27 + + 280 3 2 2 3 3 2 3 + + --- y z - 160/9 x y z - 40/9 y + 112/9 x y z - 64/9 x y z , + 27 + + 3 3 3 3 3 2 + COEFF(2, 1, 0) = 16/9 z y - 14/3 y x + 4/3 y + 98/9 y x z + + 2 3 3 3 3 2 2 + - 49/9 x y z - 56/9 z y x - 8/9 y z - 28/9 y z - 2/3 y + 14/9 y z + + 2 3 2 3 245 2 2 2 2 + + 70/9 x y z - 5/3 y + 28/9 x y z - --- x y z + 7/3 x y + 35/9 y z + 18 + + 2 3 2 3 3 3 3 + - 20/9 y z + 35/6 x y , COEFF(3, 1, 0) = 2/3 y x - 2/9 y + 8/9 z y x + + 2 3 3 35 2 2 14 3 2 + + 5/18 y + 4/27 y z - 1/3 x y - 4/9 x y z - -- y z + -- y z + 54 27 + + 2 35 2 2 3 2 2 + - 7/27 y z + -- x y z - 14/9 y x z + 1/9 y + 7/9 x y z + 18 + + 2 3 10 2 3 2 3 3 + - 10/9 x y z + -- y z - 5/6 x y - 8/27 z y , COEFF(-2, 2, 0) = + 27 + + 3 3 2 2 3 3 3 3 + - 7/36 y + 1/27 y z - 7/18 y z - 7/27 z y + 7/24 y x - 1/18 x y z + + 2 3 2 2 2 2 + - 1/3 x y z - 1/24 x y - 7/108 y z - 1/4 x y + 7/12 x y z + + 3 3 2 49 3 2 49 3 2 2 + + 7/18 z y x + 1/36 y + 7/72 x y z - -- y x z + --- y z + 1/6 y + 72 108 + + 2 3 49 2 343 3 2 + + 2/9 y z , COEFF(-1, 2, 0) = 7/24 x y - -- x y z + --- y x z + 72 72 + + 35 2 2 35 3 49 2 2 2 3 + + -- y z + 7/4 x y + -- y - -- x y z - 5/24 y + 7/3 x y z + 72 24 12 + + 245 3 2 3 35 3 3 49 3 3 3 2 3 + - --- y z + 7/18 x y z + -- z y - -- z y x - 5/18 y z - 5/3 y z + 72 18 18 + + 35 2 2 49 3 2 98 3 3 49 2 + + -- y z - -- y x - 5/4 y , COEFF(0, 2, 0) = - -- z y - -- y z + 12 24 27 54 + + 3 2 2 2 2 2 3 + - 98/9 y x z - 4 x y + 14/9 x y z + 28/3 x y z - 8/9 x y z + + 343 3 2 2 3 2 2 2 3 3 + + --- y z - 16/3 x y z + 7/3 y - 49/9 y z + 7/18 y + 56/9 z y x + 54 + + 14 3 2 3 49 3 3 + + -- y z - 2/3 x y + 28/9 y z - -- y + 14/3 y x, COEFF(1, 2, 0) = + 27 18 + + 35 2 2 2 3 2 2 35 3 2 3 + -- y z + 35/9 y z + 8/9 x y z - 28/3 x y z + -- y - 20/9 y z + 54 18 + + 2 2 3 3 2 70 3 3 3 + + 4 x y + 16/3 x y z + 2/3 x y + 98/9 y x z + -- z y - 14/3 y x + 27 + + 2 245 3 2 2 10 3 3 3 + - 14/9 x y z - 5/18 y - --- y z - 5/3 y - -- y z - 56/9 z y x, + 54 27 + + 49 3 49 2 3 49 3 2 3 + COEFF(2, 2, 0) = -- y x + -- x y z - 7/18 x y z + -- y z + 1/9 y z + 24 72 36 + + 2 2 3 49 2 2 49 3 3 + - 7/4 x y - 7/24 x y + 1/2 y - 7/12 y + -- x y z + -- z y x + 12 18 + + 2 3 2 3 3 343 3 2 2 2 + - 7/3 x y z - 7/36 y z - 7/9 z y - --- y x z - 7/6 y z + 72 + + 2 3 3 49 3 2 + + 2/3 y z + 1/12 y, COEFF(3, 2, 0) = - 7/24 y x + -- y x z + 72 + + 3 2 2 2 2 2 + - 1/54 y z + 1/24 x y + 7/36 y z + 7/216 y z - 7/12 x y z + + 3 3 3 2 3 3 2 + - 7/18 z y x + 1/18 x y z + 1/3 x y z + 7/72 y + 1/4 x y + + 3 3 49 3 2 2 2 2 3 + + 7/54 z y - 1/72 y - --- y z - 1/12 y - 7/72 x y z - 1/9 y z , + 216 + + 2 2 2 3 3 2 + COEFF(-2, 3, 0) = - 1/36 y + 7/108 y z + 1/36 y - 7/108 y z + + 2 3 3 2 3 2 2 2 + - 1/27 y z - 1/24 y x + 1/18 x y z + 1/24 x y - 7/72 x y z + + 3 3 3 2 3 3 35 3 2 + - 1/18 z y x + 7/72 y x z + 1/27 z y , COEFF(-1, 3, 0) = -- y z + 72 + + 3 3 3 2 3 3 2 3 3 + + 7/18 z y x - 5/24 y + 5/18 y z + 7/24 y x + 5/24 y - 5/18 z y + + 49 2 2 2 35 2 2 2 3 49 3 2 + + -- x y z - 7/24 x y - -- y z - 7/18 x y z - -- y x z , + 72 72 72 + + 2 2 2 3 2 49 2 2 + COEFF(0, 3, 0) = - 7/18 y - 14/9 x y z + 14/9 y x z + -- y z + 54 + + 3 3 3 2 3 2 3 14 3 3 + - 8/9 z y x + 7/18 y + 8/9 x y z + 2/3 x y - 2/3 y x + -- z y + 27 + + 49 3 2 14 2 3 2 3 3 3 + - -- y z - -- y z , COEFF(1, 3, 0) = - 8/9 x y z + 8/9 z y x + 54 27 + + 3 2 2 2 3 35 3 2 2 10 3 3 + - 14/9 y x z + 14/9 x y z - 5/18 y + -- y z + 5/18 y - -- z y + 54 27 + + 2 35 2 2 10 2 3 3 3 + - 2/3 x y - -- y z + -- y z + 2/3 y x, COEFF(2, 3, 0) = - 7/24 y x + 54 27 + + 49 3 2 3 49 2 2 2 2 3 2 3 + + -- y x z + 1/12 y - -- x y z - 1/12 y - 1/9 y z + 7/18 x y z + 72 72 + + 2 2 2 3 3 3 3 3 2 + + 7/36 y z + 7/24 x y + 1/9 z y - 7/18 z y x - 7/36 y z , + + 3 3 2 2 2 3 + COEFF(3, 3, 0) = 1/18 z y x + 7/72 x y z - 1/24 x y + 1/24 y x + + 2 3 2 2 3 2 2 3 + + 1/72 y - 1/72 y - 7/216 y z + 7/216 y z - 1/18 x y z + + 3 2 2 3 3 3 + - 7/72 y x z + 1/54 y z - 1/54 z y , COEFF(-2, -2, 1) = + + 2 2 2 3 3 2 2 3 + - 5/36 x y z - 2/27 y z + 1/36 x y z - 5/108 y z + 1/9 x y z + + 2 3 2 2 2 2 + + 1/27 y z - 1/18 x y z + 5/54 y z - 1/18 x y z - 5/108 y z + + 3 3 2 3 3 3 + - 1/54 z y + 5/72 y x z + 1/36 z y x - 1/18 z y x - 1/54 y z + + 3 3 3 2 25 2 + + 1/27 y z + 1/27 z y + 5/72 x y z , COEFF(-1, -2, 1) = -- y z + 72 + + 3 3 2 25 2 2 3 3 35 3 2 + + 7/18 z y x - 5/18 y z - -- y z + 5/36 y z - 5/18 z y - -- y x z + 36 72 + + 3 35 2 2 3 2 3 + - 7/36 z y x + -- x y z - 5/18 y z + 7/18 x y z + 7/18 x y z + 36 + + 2 3 2 3 3 25 3 2 35 2 + - 7/9 x y z - 7/36 x y z + 5/9 y z + 5/36 z y + -- y z - -- x y z , + 72 72 + + 28 2 3 2 35 2 35 2 2 + COEFF(0, -2, 1) = - -- y z + 10/9 x y z - -- y z - 7/27 y z + -- y z + 27 54 27 + + 14 2 3 3 3 2 2 14 3 3 3 + + -- y z - 8/9 z y x - 8/9 x y z - 20/9 x y z + -- z y - 7/27 z y + 27 27 + + 3 3 2 35 3 2 14 3 2 + + 4/9 z y x + 10/9 y x z - -- y z + -- y z - 8/9 x y z + 54 27 + + 2 3 3 20 2 3 + + 16/9 x y z + 4/9 x y z, COEFF(1, -2, 1) = 8/9 x y z + -- y z + 27 + + 25 3 2 2 2 2 10 3 25 2 2 + + -- y z + 5/27 y z + 8/9 x y z + 20/9 x y z - -- y z - -- y z + 54 27 27 + + 3 2 3 3 2 3 10 2 3 + - 10/9 y x z + 8/9 z y x - 16/9 x y z - -- y z + 5/27 z y + 27 + + 2 25 2 3 10 3 3 + - 10/9 x y z + -- y z - 4/9 x y z - 4/9 z y x - -- z y , + 54 27 + + 2 3 3 2 2 + COEFF(2, -2, 1) = - 2/9 y z + 7/36 x y z - 5/36 y z + 1/9 y z + + 3 3 2 2 2 2 3 + + 1/9 z y - 5/36 y z + 5/18 y z - 1/18 y z - 7/18 x y z + 1/9 y z + + 3 35 3 2 3 35 2 3 3 + + 7/36 z y x + -- y x z - 7/18 x y z + -- x y z - 7/18 z y x + 72 72 + + 2 3 3 35 2 2 3 + + 7/9 x y z - 1/18 z y - -- x y z , COEFF(3, -2, 1) = - 1/36 z y x + 36 + + 3 3 3 2 3 2 3 2 2 + + 1/18 z y x + 5/216 y z + 1/108 z y + 1/27 y z + 5/36 x y z + + 2 2 3 2 2 + - 5/108 y z - 1/36 x y z + 1/18 x y z - 1/54 y z + 1/18 x y z + + 2 3 3 3 3 3 2 2 + - 1/9 x y z - 1/54 z y - 1/54 y z - 5/72 y x z + 5/216 y z + + 2 35 3 2 + + 1/108 y z - 5/72 x y z , COEFF(-2, -1, 1) = 4/27 y z + --- y z + 108 + + 35 3 2 3 3 3 3 25 2 2 + - -- y x z - 7/27 z y + 4/9 x y z - 7/36 z y x + -- x y z + 72 24 + + 2 10 2 3 3 2 2 3 + - 5/18 y z + -- y z + 7/18 z y x + 5/12 x y z - 5/6 x y z + 27 + + 2 3 3 2 3 25 2 2 + - 5/9 x y z + 7/54 z y - 8/27 y z - 2/9 x y z + 5/9 y z - -- y z , + 36 + + 2 3 49 3 3 25 2 125 2 2 + COEFF(-1, -1, 1) = - 25/6 y z - -- z y x + -- y z + --- y z + 18 12 24 + + 2 3 35 3 3 175 3 2 49 3 + + 35/6 x y z - -- z y + 20/9 y z - --- y z + -- z y x + 14/9 x y z + 36 72 36 + + 2 175 2 2 35 2 3 245 3 2 + + 35/9 x y z - --- x y z - -- x y z - 28/9 x y z + --- y x z + 24 12 72 + + 2 35 3 3 2 + - 25/9 y z - 10/9 y z + -- z y , COEFF(0, -1, 1) = - 80/9 x y z + 18 + + 3 2 3 3 3 175 2 2 3 2 + - 28/9 z y x + 70/9 y z + 56/9 z y x - --- y z - 70/9 y x z + 18 + + 49 3 56 2 112 3 2 3 3 + + -- z y + -- y z - 35/9 y z - --- y z - 40/3 x y z + 64/9 x y z + 27 27 27 + + 2 140 2 2 2 245 3 2 + + 20/3 x y z + --- y z + 50/3 x y z + --- y z - 32/9 x y z + 27 54 + + 98 3 3 2 2 3 2 3 + - -- z y , COEFF(1, -1, 1) = - 50/3 x y z + 70/9 y x z - 64/9 x y z + 27 + + 100 2 35 3 2 3 40 80 3 2 + - --- y z - -- z y - 50/9 y z - -- y z + -- y z + 25/9 y z + 27 27 27 27 + + 3 3 175 3 2 2 125 2 2 2 + - 56/9 z y x - --- y z + 80/9 x y z + --- y z - 20/3 x y z + 54 18 + + 3 2 3 70 3 3 + + 28/9 z y x + 32/9 x y z + 40/3 x y z + -- z y , COEFF(2, -1, 1) = + 27 + + 3 3 49 3 35 2 2 3 2 3 35 3 2 + - 7/9 z y - -- z y x + -- x y z - 35/6 x y z + 5/3 y z + -- y z + 36 12 36 + + 245 3 2 2 175 2 2 3 25 2 2 + - --- y x z - 35/9 x y z + --- x y z + 28/9 x y z - -- y z + 72 24 12 + + 49 3 3 3 2 3 2 + + -- z y x - 8/9 y z - 5/6 y z + 7/18 z y + 10/9 y z + 4/9 y z + 18 + + 35 3 2 2 + - 14/9 x y z, COEFF(3, -1, 1) = - --- y z + 5/36 y z - 2/27 y z + 216 + + 3 3 2 3 3 3 2 + + 7/54 z y + 5/9 x y z - 7/108 z y - 7/18 z y x - 5/27 y z + + 2 3 35 3 2 2 3 25 2 2 + - 5/18 y z + -- y x z - 5/12 x y z - 4/9 x y z + -- y z + 72 72 + + 2 3 3 25 2 2 3 + + 5/6 x y z + 7/36 z y x - -- x y z + 2/9 x y z + 4/27 y z , + 24 + + 35 2 2 35 2 2 2 3 2 + COEFF(-2, 0, 1) = -- y z - -- x y z + 14/9 x y z - 7/9 x y z + 27 18 + + 3 3 16 3 3 2 2 3 2 + + 1/3 x z - 8/9 z y x + -- z y - 5/9 z + 5/6 x z + 10/9 y x z + 27 + + 3 14 2 28 2 3 3 3 20 3 2 + - 8/27 z y + -- y z - -- y z - 2/9 z - 2/3 x z + 4/9 z - -- y z + 27 27 27 + + 3 2 3 245 2 2 2 3 + + 4/9 z y x, COEFF(-1, 0, 1) = 70/9 y z + --- x y z - 98/9 x y z + 18 + + 175 2 2 3 3 3 3 3 3 + - --- y z - 10/3 z + 14/3 x z - 40/9 z y - 7/3 x z + 56/9 z y x + 18 + + 3 2 3 2 3 2 + - 28/9 z y x - 35/6 x z + 20/9 z y + 25/6 z + 5/3 z - 70/9 y x z + + 2 2 3 2 280 3 2 + - 35/9 y z + 49/9 x y z + 50/9 y z , COEFF(0, 0, 1) = - --- y z + 27 + + 490 2 2 2 224 3 3 2 2 + + --- y z - 112/9 x y z + --- z y - 280/9 x y z + 16/3 x z + 27 27 + + 3 2 392 2 3 3 2 196 2 + + 160/9 y x z - --- y z - 32/3 x z - 28/9 z - 70/9 z + --- y z + 27 27 + + 3 112 3 2 3 3 3 + + 64/9 z y x - --- z y + 40/3 x z + 56/9 z - 128/9 z y x + 27 + + 2 3 160 3 3 3 2 + + 224/9 x y z , COEFF(1, 0, 1) = 20/9 z - --- z y - 160/9 y x z + 27 + + 3 2 3 2 2 3 200 3 2 + + 32/3 x z - 224/9 x y z + 280/9 x y z - 64/9 z y x + --- y z + 27 + + 80 3 350 2 2 2 2 140 2 280 2 3 + + -- z y - --- y z - 40/3 x z + 112/9 x y z - --- y z + --- y z + 27 27 27 27 + + 2 3 3 3 + + 50/9 z + 128/9 z y x - 16/3 x z - 40/9 z , COEFF(2, 0, 1) = 7/3 x z + + 2 2 3 2 3 3 2 3 + + 35/9 y z + 70/9 y x z + 16/9 z y - 2/3 z + 98/9 x y z + + 245 2 2 2 2 3 3 3 + - --- x y z + 14/9 y z - 5/3 z - 14/3 x z + 28/9 z y x - 8/9 z y + 18 + + 3 3 2 2 2 3 3 3 + + 4/3 z - 20/9 y z + 35/6 x z - 28/9 y z - 56/9 z y x + + 2 3 3 3 3 + - 49/9 x y z, COEFF(3, 0, 1) = 2/3 x z - 4/9 z y x - 8/27 z y + + 2 3 2 3 3 14 2 3 10 3 2 2 + + 7/9 x y z - 10/9 y x z + 8/9 z y x + -- y z + -- y z - 5/6 x z + 27 27 + + 2 3 2 2 3 3 35 2 2 + - 7/27 y z + 4/27 z y + 5/18 z - 14/9 x y z - 2/9 z + -- x y z + 18 + + 35 2 2 2 + + 1/9 z - 1/3 x z - -- y z , COEFF(-2, 1, 1) = 2/9 x y z + 5/9 x y z + 54 + + 3 3 10 2 2 25 2 2 3 2 + + 8/9 z y x - -- y z + 5/9 x y z - -- y z - 10/9 y x z + 27 27 + + 3 20 3 2 3 3 10 2 3 + - 4/9 z y x + -- y z + 8/27 z y - 4/9 x y z - -- y z + 8/27 y z + 27 27 + + 2 3 16 3 3 25 2 2 20 2 3 + - 4/27 y z - 10/9 x y z - -- z y + -- x y z + -- y z , + 27 18 27 + + 3 2 3 2 3 3 3 + COEFF(-1, 1, 1) = - 50/9 y z + 70/9 y x z + 40/9 z y + 28/9 z y x + + 3 175 2 2 2 3 2 + - 20/9 z y - --- x y z + 25/9 y z + 28/9 x y z - 35/9 x y z + 18 + + 2 2 3 3 2 3 + + 25/9 y z - 35/9 x y z - 56/9 z y x - 14/9 x y z + 70/9 x y z + + 2 3 3 125 2 2 + + 10/9 y z - 50/9 y z - 20/9 y z + --- y z , COEFF(0, 1, 1) = + 18 + + 2 224 3 3 2 3 350 2 2 3 3 + 80/9 x y z - --- z y - 160/9 x y z - --- y z + 128/9 z y x + 27 27 + + 280 3 2 112 3 3 112 3 280 2 3 3 + + --- y z + --- y z - 64/9 x y z + --- z y + --- y z - 64/9 z y x + 27 27 27 27 + + 2 140 2 140 2 56 2 2 + + 32/9 x y z + 80/9 x y z - --- y z - --- y z - -- y z + 200/9 x y z + 27 27 27 + + 3 2 80 3 3 2 160 3 3 + - 160/9 y x z , COEFF(1, 1, 1) = - -- y z + 160/9 y x z + --- z y + 27 27 + + 3 3 3 40 80 3 100 2 2 + - 128/9 z y x + 64/9 z y x + -- y z - -- z y + --- y z - 80/9 x y z + 27 27 27 + + 2 3 2 100 2 200 3 2 + - 32/9 x y z + 160/9 x y z - 80/9 x y z + --- y z - --- y z + 27 27 + + 200 2 3 2 2 3 250 2 2 + - --- y z - 200/9 x y z + 64/9 x y z + --- y z , COEFF(2, 1, 1) = + 27 27 + + 3 2 2 2 2 3 2 175 2 2 + 20/9 y z - 25/9 y z - 10/9 y z + 8/9 y z - 10/9 y z + --- x y z + 18 + + 3 3 2 3 3 3 + + 56/9 z y x + 35/9 x y z - 16/9 z y - 28/9 x y z - 4/9 y z + + 3 2 2 3 3 2 3 + + 14/9 x y z - 70/9 y x z - 70/9 x y z - 28/9 z y x + 20/9 y z + + 3 2 25 2 2 3 + + 8/9 z y + 35/9 x y z , COEFF(3, 1, 1) = -- y z + 4/9 x y z + 54 + + 2 3 2 10 2 3 + + 2/27 y z + 5/27 y z - 4/27 z y - 2/9 x y z - 5/9 x y z - -- y z + 27 + + 2 3 3 3 10 3 2 3 3 + - 5/9 x y z + 4/9 z y x - 8/9 z y x - -- y z + 8/27 z y + 27 + + 2 3 2 25 2 2 3 3 2 + + 10/9 x y z + 5/27 y z - -- x y z - 4/27 y z + 10/9 y x z , + 18 + + 3 35 3 2 35 3 2 2 + COEFF(-2, 2, 1) = 1/18 x y z - --- y z + -- y x z + 1/9 y z + 108 72 + + 3 3 2 3 2 2 3 3 3 + + 7/27 z y + 1/3 x y z - 5/12 x y z - 7/18 z y x + 7/36 z y x + + 2 3 2 3 2 2 + - 1/36 x y z - 5/72 x y z + 1/54 y z - 7/54 z y - 2/9 y z + 5/18 y z + + 3 2 2 245 3 2 + - 1/27 y z - 1/6 x y z + 5/108 y z , COEFF(-1, 2, 1) = - --- y x z + 72 + + 35 3 3 49 3 3 2 3 35 2 25 2 2 + - -- z y + -- z y x + 5/3 y z + -- x y z - -- y z + 7/36 x y z + 18 18 72 12 + + 2 3 3 2 25 2 3 + - 7/3 x y z + 5/18 y z - 5/36 y z + 7/6 x y z - -- y z - 7/18 x y z + 72 + + 35 3 2 49 3 35 2 2 175 3 2 + + -- z y - 5/6 y z - -- z y x + -- x y z + --- y z , COEFF(0, 2, 1) + 36 36 12 72 + + 2 3 3 3 2 2 + = - 28/9 y z + 8/9 x y z + 70/9 y x z - 4/9 x y z - 8/3 x y z + + 3 245 3 2 49 3 3 3 98 3 3 + + 28/9 z y x - --- y z - -- z y + 7/27 y z - 56/9 z y x + -- z y + 54 27 27 + + 14 3 2 3 2 35 2 2 2 + - -- y z + 16/3 x y z - 10/9 x y z + -- y z - 20/3 x y z + 27 54 + + 2 2 2 2 2 + + 14/9 y z + 35/9 y z , COEFF(1, 2, 1) = 8/3 x y z + 10/9 x y z + + 70 3 3 3 3 2 35 3 10 3 + - -- z y - 28/9 z y x - 70/9 y x z + -- z y + -- y z - 5/27 y z + 27 27 27 + + 2 2 3 3 2 3 2 2 2 3 + + 20/3 x y z + 56/9 z y x + 20/9 y z - 25/9 y z - 16/3 x y z + + 25 2 175 3 2 3 2 + + 4/9 x y z - -- y z + --- y z - 8/9 x y z - 10/9 y z, COEFF(2, 2, 1) + 54 54 + + 35 2 2 49 3 3 245 3 2 35 3 2 3 + = - -- x y z - -- z y x + --- y x z - -- y z - 1/9 y z + 12 18 72 36 + + 2 2 3 3 49 3 2 + - 7/6 x y z + 7/3 x y z - 7/18 z y + -- z y x + 5/36 y z + 1/18 y z + 36 + + 35 2 2 3 2 2 2 3 3 + - 7/36 x y z - -- x y z - 2/3 y z + 1/3 y z + 5/6 y z + 7/9 z y + 72 + + 3 35 3 2 2 2 + + 7/18 x y z , COEFF(3, 2, 1) = - -- y x z + 1/6 x y z - 1/18 y z + 72 + + 3 3 3 2 2 3 + + 7/18 z y x - 1/108 y z + 7/108 z y - 5/216 y z + 1/9 y z + + 2 2 3 2 3 3 3 + + 5/12 x y z + 1/54 y z - 1/3 x y z - 1/18 x y z - 7/36 z y x + + 35 3 2 3 3 2 2 2 + + --- y z + 1/36 x y z - 7/54 z y + 5/72 x y z - 5/36 y z , + 216 + + 3 2 2 3 3 + COEFF(-2, 3, 1) = - 1/36 z y x + 5/72 x y z + 1/18 z y x + + 3 2 2 2 2 3 3 2 2 + - 5/72 y x z - 5/108 y z + 1/27 y z + 5/108 y z - 1/54 y z + + 3 3 3 2 3 2 + + 1/54 z y - 1/27 z y - 1/18 x y z + 1/36 x y z, COEFF(-1, 3, 1) = + + 2 3 3 2 3 3 2 3 25 2 2 + 7/18 x y z - 5/36 z y + 5/36 y z + 5/18 z y - 5/18 y z + -- y z + 72 + + 35 2 2 35 3 2 3 25 3 2 3 3 + - -- x y z + -- y x z + 7/36 z y x - -- y z - 7/18 z y x + 72 72 72 + + 2 3 3 2 2 2 3 + - 7/36 x y z, COEFF(0, 3, 1) = 8/9 z y x + 10/9 x y z - 8/9 x y z + + 3 2 14 3 3 2 35 2 2 3 + - 4/9 z y x + 4/9 x y z - -- z y - 7/27 y z - -- y z + 7/27 z y + 27 54 + + 14 2 3 3 2 35 3 2 25 3 2 + + -- y z - 10/9 y x z + -- y z , COEFF(1, 3, 1) = - -- y z + 27 54 54 + + 2 25 2 2 3 3 3 2 10 3 3 + - 4/9 x y z + -- y z + 4/9 z y x - 8/9 z y x + 5/27 y z + -- z y + 54 27 + + 3 2 3 3 2 2 2 10 2 3 + - 5/27 z y + 8/9 x y z + 10/9 y x z - 10/9 x y z - -- y z , + 27 + + 2 3 2 3 3 3 35 2 2 + COEFF(2, 3, 1) = - 7/18 x y z + 1/9 y z + 7/18 z y x + -- x y z + 72 + + 2 35 3 2 2 2 3 2 + + 7/36 x y z - -- y x z - 5/36 y z - 7/36 z y x - 1/18 y z + 72 + + 3 2 3 3 3 3 + + 5/36 y z + 1/18 z y - 1/9 z y , COEFF(3, 3, 1) = - 1/108 z y + + 2 2 2 2 2 3 2 3 3 2 + - 5/72 x y z + 5/216 y z - 1/54 y z + 1/18 x y z + 5/72 y x z + + 2 3 3 2 3 3 3 + - 1/36 x y z + 1/54 z y + 1/108 y z - 1/18 z y x + 1/36 z y x + + 3 2 2 3 2 2 + - 5/216 y z , COEFF(-2, -2, 2) = - 7/144 x y z + 1/24 x y z + + 3 3 2 2 2 3 2 3 + + 7/288 x y z - 1/48 y x z - 1/36 y z - 1/288 z y x + 7/216 y z + + 2 2 2 3 3 3 + - 1/48 x y z - 1/216 y z + 1/144 x y z + 1/432 z y - 7/432 z y + + 3 2 3 2 + - 7/432 y z + 1/432 y z - 1/288 x y z + 1/72 y z + 1/72 y z + + 3 3 2 3 2 + + 7/288 z y x, COEFF(-1, -2, 2) = - 5/48 y z + 7/48 y x z + + 49 3 3 2 2 3 49 3 2 2 + - --- z y x - 7/24 x y z - 5/288 z y - --- x y z + 5/24 y z + 288 288 + + 3 2 2 35 2 3 2 35 3 3 + - 5/48 y z + 7/48 x y z - --- y z - 7/144 x y z + --- z y + 144 288 + + 35 3 2 3 + - 5/288 y z + 7/288 x y z + --- y z + 5/144 y z + 7/288 z y x + 288 + + 49 2 3 3 2 49 3 3 2 + + --- x y z , COEFF(0, -2, 2) = - 1/3 y x z - --- z y - 1/3 x y z + 144 216 + + 3 49 3 2 2 3 2 2 + + 7/216 z y - --- y z - 7/108 y z - 7/9 x y z - 7/18 y z + 216 + + 3 3 3 3 2 + - 1/18 x y z + 7/18 z y x - 1/18 z y x + 7/18 x y z + 7/36 y z + + 2 49 2 3 3 2 2 2 + + 1/9 x y z + --- y z + 7/36 y z + 7/216 y z + 2/3 x y z , + 108 + + 35 2 3 3 2 3 3 + COEFF(1, -2, 2) = - --- y z - 7/18 x y z + 5/108 y z - 7/18 z y x + 108 + + 3 2 2 3 2 3 + + 1/18 z y x - 5/36 y z - 1/9 x y z + 1/3 y x z - 5/216 z y + + 2 2 2 35 3 + + 1/3 x y z + 5/18 y z + --- y z + 1/18 x y z - 5/216 y z + 216 + + 2 3 2 2 3 2 35 3 3 + + 7/9 x y z - 2/3 x y z - 5/36 y z + --- z y , COEFF(2, -2, 2) = + 216 + + 49 2 3 3 3 2 3 3 + - --- x y z - 7/144 z y - 7/48 x y z + 1/144 z y - 7/144 y z + 144 + + 49 3 2 3 2 2 2 2 + + --- x y z + 1/24 y z - 7/48 y x z - 1/72 y z - 1/12 y z + 288 + + 2 2 2 3 2 3 2 + + 7/24 x y z + 7/72 y z + 7/144 x y z + 1/144 y z + 1/24 y z + + 49 3 3 3 + - 7/288 x y z + --- z y x - 7/288 z y x, COEFF(3, -2, 2) = + 288 + + 2 2 2 3 3 3 3 + - 1/24 x y z + 1/48 x y z - 7/288 x y z + 7/864 z y + 1/288 z y x + + 3 3 3 2 3 2 3 2 + - 7/288 z y x - 1/864 z y - 7/432 y z + 1/432 y z + 1/48 y x z + + 3 2 2 3 2 2 + - 1/144 y z + 7/144 x y z + 1/288 x y z + 1/72 y z - 1/864 y z + + 2 3 2 2 + - 1/144 y z + 7/864 y z - 1/144 x y z, COEFF(-2, -1, 2) = 1/6 x y z + + 3 3 49 3 3 2 + + 7/54 y z - 7/432 z y + --- z y + 1/36 x y z + 5/144 y z + 432 + + 3 2 49 3 3 3 2 35 2 3 2 2 + + 7/48 y x z - --- z y x - 7/72 y z - --- y z - 5/16 x y z + 288 144 + + 2 2 2 2 3 + - 1/9 y z - 1/54 y z - 5/96 x y z + 5/24 y z + 7/288 z y x + + 3 35 2 3 2 49 3 2 + - 7/36 x y z + -- x y z , COEFF(-1, -1, 2) = - 7/6 x y z - -- y x z + 96 48 + + 35 3 35 3 2 343 3 3 175 2 3 35 3 2 + + --- z y - -- y z + 5/6 y z + --- z y x + --- y z + -- y z + 288 36 288 96 48 + + 49 3 35 2 49 3 25 2 25 2 2 + - --- z y x + -- x y z + -- x y z + 5/36 y z - -- y z - -- y z + 288 96 36 96 16 + + 245 3 3 35 2 2 245 2 3 + - 7/36 x y z - --- z y + -- x y z - --- x y z , COEFF(0, -1, 2) = + 288 16 96 + + 245 2 3 2 2 343 3 3 35 2 2 3 + - --- y z - 5 x y z + --- z y + 4/9 x y z + -- y z - 28/9 x y z + 72 216 12 + + 2 35 2 2 3 3 2 49 3 2 + + 8/3 x y z + -- y z + 35/6 x y z + 7/3 y x z - -- y z + 72 36 + + 2 49 3 49 3 2 49 3 3 + - 5/6 x y z + -- y z - --- z y - 14/9 y z - 7/27 y z - -- z y x + 27 216 18 + + 3 3 2 2 35 3 2 + + 7/18 z y x, COEFF(1, -1, 2) = - 7/18 z y x + 5 x y z + -- y z + 36 + + 49 3 3 25 2 2 35 3 2 3 3 2 + + -- z y x - -- y z + 10/9 y z - -- y z - 35/6 x y z - 7/3 y x z + 18 72 27 + + 35 3 175 2 3 25 2 2 2 + + --- z y + --- y z - -- y z - 4/9 x y z + 5/27 y z + 5/6 x y z + 216 72 12 + + 2 3 245 3 3 2 + - 8/3 x y z + 28/9 x y z - --- z y , COEFF(2, -1, 2) = - 1/3 y z + 216 + + 2 49 3 35 2 343 3 3 2 + + 7/6 x y z - -- x y z - -- x y z - --- z y x + 5/48 y z + 36 96 288 + + 49 3 49 3 3 245 2 3 35 2 3 + + --- z y x + 7/36 x y z + --- z y + --- x y z - -- y z + 288 144 96 48 + + 3 35 2 2 49 3 2 3 2 3 + - 7/144 z y - -- x y z + -- y x z - 7/24 y z - 1/18 y z + 7/18 y z + 16 48 + + 2 2 2 2 3 2 2 + + 5/8 y z , COEFF(3, -1, 2) = - 5/48 y z + 7/144 y z + 1/18 y z + + 3 2 2 35 2 3 2 49 3 3 + - 7/48 y x z - 1/6 x y z + --- y z + 5/96 x y z + --- z y x + 288 288 + + 2 3 3 3 + - 5/288 y z + 7/864 z y + 7/36 x y z - 7/108 y z - 1/36 x y z + + 2 2 35 2 3 3 49 3 3 + + 5/16 x y z - -- x y z - 7/288 z y x + 1/108 y z - --- z y , + 96 864 + + 49 2 3 2 3 49 2 3 + COEFF(-2, 0, 2) = - 1/24 x z - -- x y z - 1/4 x z - 7/36 z + --- y z + 72 108 + + 2 2 3 2 2 + + 7/72 x y z - 7/108 y z - 1/18 z y x + 7/12 x y z + 1/36 z + + 3 2 2 2 3 3 3 2 3 2 + + 1/27 z y - 7/18 y z + 1/6 z - 7/27 z y + 2/9 y z - 1/3 y x z + + 3 3 3 49 2 2 3 2 + + 7/18 z y x + 7/24 x z , COEFF(-1, 0, 2) = - -- x y z + 7/3 y x z + 12 + + 2 49 2 245 2 3 3 2 3 + + 7/4 x z - -- x y z - --- y z + 7/18 z y x - 5/4 z - 5/18 z y + 72 72 + + 49 3 3 3 2 35 2 2 35 2 49 3 + - -- z y x - 5/3 y z + -- y z + 7/24 x z + -- y z - -- x z + 18 12 72 24 + + 35 3 3 343 2 3 35 3 + + -- z y - 5/24 z + --- x y z + -- z , COEFF(0, 0, 2) = - 2/3 x z + 18 72 24 + + 2 2 2 2 3 343 2 3 + + 14/9 x y z - 49/9 y z + 7/18 z + 7/3 z - 8/9 z y x + --- y z + 54 + + 3 2 98 3 3 49 2 2 3 2 3 + - 16/3 y x z - -- z y - -- y z - 4 x z + 28/9 y z + 14/3 x z + 27 54 + + 2 3 14 3 2 2 3 3 49 3 + - 98/9 x y z + -- z y + 28/3 x y z + 56/9 z y x - -- z , + 27 18 + + 35 3 3 2 3 3 2 35 2 + COEFF(1, 0, 2) = -- z - 14/3 x z + 98/9 x y z + 16/3 y x z + -- y z + 18 54 + + 3 3 2 2 2 2 2 10 3 + - 56/9 z y x - 14/9 x y z + 35/9 y z - 28/3 x y z - -- z y + 27 + + 3 2 2 70 3 3 3 2 + - 5/18 z + 8/9 z y x + 2/3 x z - 5/3 z + 4 x z + -- z y - 20/9 y z + 27 + + 245 2 3 3 2 2 2 + - --- y z , COEFF(2, 0, 2) = 1/9 z y - 7/4 x z + 1/2 z - 7/36 y z + 54 + + 2 2 49 3 3 3 3 49 2 + - 7/6 y z + 1/12 z + -- x z - 7/18 z y x - 7/9 z y + -- x y z + 24 72 + + 3 2 343 2 3 49 3 3 3 2 3 + - 7/3 y x z - 7/24 x z - --- x y z + -- z y x + 2/3 y z - 7/12 z + 72 18 + + 49 2 3 49 2 2 2 + + -- y z + -- x y z , COEFF(3, 0, 2) = 1/24 x z + 7/216 y z + 36 12 + + 2 49 2 3 2 3 3 2 + - 7/72 x y z - --- y z - 1/12 z - 1/54 z y + 1/18 z y x + 1/4 x z + 216 + + 3 2 2 3 3 3 2 49 2 3 + - 7/24 x z + 7/36 y z - 7/18 z y x - 1/9 y z + -- x y z - 1/72 z + 72 + + 3 3 3 2 3 2 2 + + 7/54 z y + 1/3 y x z + 7/72 z - 7/12 x y z , COEFF(-2, 1, 2) = + + 2 2 2 3 2 + - 5/12 x y z - 1/6 x y z + 1/54 y z + 1/18 z y x + 5/108 y z + + 2 2 2 3 2 35 2 3 2 3 + + 5/18 y z + 1/9 y z - 2/9 y z + -- x y z - 5/72 x y z - 7/54 y z + 72 + + 3 3 3 2 35 2 3 3 3 + + 7/36 x y z - 1/27 z y + 1/3 y x z - --- y z - 7/18 z y x + 108 + + 3 3 3 2 49 3 3 + + 7/27 z y - 1/36 x y z, COEFF(-1, 1, 2) = - 7/3 y x z + -- z y x + 18 + + 245 2 3 35 2 2 2 35 2 25 2 35 3 + - --- x y z + -- x y z + 7/6 x y z + -- x y z - -- y z + -- y z + 72 12 72 72 36 + + 35 3 3 175 2 3 3 25 2 2 3 + - -- z y + --- y z + 5/18 z y - 5/36 y z - -- y z - 7/18 z y x + 18 72 12 + + 3 2 2 49 3 + + 5/3 y z + 7/36 x y z - 5/6 y z - -- x y z , COEFF(0, 1, 2) = + 36 + + 3 245 2 3 3 2 2 2 2 3 + 8/9 z y x - --- y z + 16/3 y x z + 35/9 y z + 70/9 x y z + 54 + + 2 2 35 2 2 2 3 3 + - 8/3 x y z - 10/9 x y z + -- y z - 20/3 x y z - 56/9 z y x + 54 + + 3 2 3 2 14 3 49 3 + + 28/9 x y z - 4/9 x y z + 14/9 y z - 28/9 y z - -- z y - -- y z + 27 27 + + 98 3 3 35 3 2 2 + + 7/27 y z + -- z y , COEFF(1, 1, 2) = -- y z + 20/3 x y z - 5/27 y z + 27 27 + + 70 3 3 3 3 2 10 3 2 3 2 + - -- z y + 56/9 z y x - 10/9 y z + -- z y + 8/3 x y z + 20/9 y z + 27 27 + + 175 2 3 3 2 2 3 3 + + --- y z + 4/9 x y z - 16/3 y x z - 70/9 x y z - 28/9 x y z + 54 + + 2 3 25 2 2 2 + + 10/9 x y z - 8/9 z y x - -- y z - 25/9 y z , COEFF(2, 1, 2) = + 54 + + 35 2 2 35 2 3 35 2 49 3 3 3 2 3 2 + - -- x y z - -- y z - -- x y z - -- z y x + 7/3 y x z - 2/3 y z + 12 36 72 18 + + 2 3 3 2 3 3 3 + - 7/6 x y z + 7/9 z y + 5/36 y z + 7/18 z y x - 7/18 y z - 1/9 z y + + 245 2 3 49 3 2 2 2 + + --- x y z + -- x y z + 1/18 y z - 7/36 x y z + 5/6 y z + 1/3 y z , + 72 36 + + 2 2 + COEFF(3, 1, 2) = - 1/108 y z - 5/216 y z + 1/36 x y z + 1/6 x y z + + 35 2 3 3 3 2 2 2 35 2 3 + + --- y z - 7/54 z y + 5/72 x y z - 5/36 y z - -- x y z + 216 72 + + 3 2 2 3 2 3 2 + - 1/18 z y x + 5/12 x y z + 1/54 z y - 1/18 y z + 1/9 y z + + 3 2 3 3 3 3 + - 1/3 y x z + 7/18 z y x + 7/108 y z - 7/36 x y z , COEFF(-2, 2, 2) + + 2 2 2 3 3 2 49 3 3 + = - 1/432 y z + 1/8 x y z + 7/72 y z + 7/72 y z - --- z y + 432 + + 3 49 3 3 2 2 3 + + 7/432 y z + 1/288 x y z + --- z y x + 1/48 x y z - 7/48 x y z + 288 + + 3 2 2 2 3 2 2 + - 7/288 x y z - 1/72 y z - 1/12 y z - 7/48 y x z - 1/72 y z + + 3 3 2 49 2 3 + - 7/288 z y x + 7/432 z y + 1/48 x y z , COEFF(-1, 2, 2) = -- x y z + 48 + + 245 3 3 35 2 3 35 3 343 3 3 2 + + --- z y - -- y z - --- z y - --- z y x - 7/48 x y z + 288 48 288 288 + + 2 2 2 2 49 3 + - 7/8 x y z + 5/48 y z + 5/48 y z + --- z y x + 5/288 y z + 288 + + 2 2 49 3 2 2 35 3 2 35 3 + - 7/288 x y z + 5/8 y z + -- y x z - 7/48 x y z - -- y z - --- y z + 48 48 288 + + 49 3 2 2 2 2 + + --- x y z , COEFF(0, 2, 2) = 2 x y z - 7/6 y z + 1/18 x y z + 288 + + 2 2 3 3 2 3 2 + + 1/3 x y z - 7/3 x y z - 7/18 z y x + 1/3 x y z - 7/3 y x z + + 2 49 3 3 49 3 2 49 3 3 + - 7/36 y z + --- y z - 7/18 x y z + -- y z + -- z y x - 7/216 y z + 216 36 18 + + 343 3 3 49 3 49 2 3 2 2 + - --- z y + --- z y + -- y z - 7/36 y z, COEFF(1, 2, 2) = 5/36 y z + 216 216 36 + + 2 3 2 245 3 3 + - 1/3 x y z + 5/216 y z + 7/18 z y x - 1/3 x y z + --- z y + 216 + + 2 3 2 2 35 3 2 2 2 + - 1/18 x y z + 7/3 x y z + 5/6 y z - -- y z - 2 x y z + 36 + + 3 35 3 35 3 3 2 2 35 2 3 + + 7/18 x y z - --- y z - --- z y + 7/3 y x z + 5/36 y z - -- y z + 216 216 36 + + 49 3 3 3 2 3 49 3 + - -- z y x, COEFF(2, 2, 2) = 7/24 y z + 7/144 y z - --- z y x + 18 288 + + 343 3 3 49 3 3 2 2 49 3 2 2 + + --- z y x - --- z y + 7/8 x y z - -- y x z - 1/24 y z + 288 144 48 + + 49 2 3 2 49 3 2 + - -- x y z - 1/24 y z - --- x y z + 7/288 x y z + 7/48 x y z + 48 288 + + 3 2 3 2 2 2 + + 7/144 z y - 1/144 y z + 7/24 y z + 7/48 x y z - 1/4 y z , + + 3 2 3 2 + COEFF(3, 2, 2) = - 7/864 z y + 1/144 y z - 7/144 y z - 1/288 x y z + + 2 2 2 3 2 3 + + 1/24 y z - 1/48 x y z + 7/288 z y x + 7/48 x y z + 1/864 y z + + 2 3 2 2 3 49 3 3 2 + - 7/144 y z - 1/8 x y z + 7/288 x y z - --- z y x - 1/48 x y z + 288 + + 3 2 2 3 49 3 3 + + 7/48 y x z + 1/144 y z - 7/864 y z + --- z y , COEFF(-2, 3, 2) = + 864 + + 2 3 2 3 2 2 3 3 + 1/432 y z - 1/432 z y - 7/432 y z + 1/72 y z - 7/288 z y x + + 3 2 3 2 3 2 2 3 + - 1/72 y z + 1/288 z y x - 1/288 x y z + 1/48 y x z + 7/288 x y z + + 2 2 3 3 2 2 + - 1/48 x y z + 7/432 z y , COEFF(-1, 3, 2) = 7/48 x y z + + 2 3 2 35 3 3 3 2 + + 7/288 x y z + 5/48 y z - --- z y - 7/288 z y x - 5/288 y z + 288 + + 3 2 2 2 49 3 3 3 49 2 3 + - 7/48 y x z - 5/48 y z + --- z y x + 5/288 z y - --- x y z + 288 288 + + 35 2 3 3 3 2 3 49 2 3 + + --- y z , COEFF(0, 3, 2) = - 7/18 z y x + 7/18 x y z - --- y z + 288 216 + + 2 2 2 2 2 3 2 3 + - 1/3 x y z + 7/36 y z - 1/18 x y z - 7/36 y z + 1/18 z y x + + 49 3 3 2 3 3 2 + + --- z y + 7/216 y z - 7/216 z y + 1/3 y x z , COEFF(1, 3, 2) = + 216 + + 3 3 2 2 2 35 2 3 2 2 + 7/18 z y x + 1/18 x y z + 1/3 x y z + --- y z - 5/36 y z + 216 + + 3 2 2 2 3 3 2 35 3 3 + - 1/3 y x z - 5/216 y z - 7/18 x y z + 5/36 y z - --- z y + 216 + + 3 3 3 2 + - 1/18 z y x + 5/216 z y , COEFF(2, 3, 2) = 7/288 z y x + 1/144 y z + + 3 2 2 2 3 3 3 3 2 + + 7/48 y x z - 7/48 x y z + 7/144 z y - 1/144 z y - 1/24 y z + + 2 49 3 3 2 3 49 2 3 2 2 + - 7/288 x y z - --- z y x - 7/144 y z + --- x y z + 1/24 y z , + 288 288 + + 2 2 2 3 3 2 + COEFF(3, 3, 2) = 1/48 x y z - 7/288 x y z - 1/288 z y x + 1/288 x y z + + 3 3 2 2 3 2 3 3 3 + + 7/288 z y x - 1/144 y z + 1/144 y z + 1/864 z y - 7/864 z y + + 3 2 2 2 3 + - 1/48 y x z - 1/864 y z + 7/864 y z , COEFF(-2, -2, 3) = + + 2 3 3 3 2 2 3 2 + 1/144 x y z + 1/432 z y + 1/288 x y z - 1/216 y z - 1/432 y z + + 3 3 2 2 2 2 3 2 + + 1/432 y z - 1/288 x y z + 1/216 y z - 1/144 x y z + 1/288 y x z + + 3 2 3 3 3 2 + - 1/432 y z - 1/288 z y x, COEFF(-1, -2, 3) = - 7/288 y x z + + 2 3 3 3 2 2 2 3 + - 7/288 x y z - 5/288 z y - 5/288 y z + 7/144 x y z - 7/144 x y z + + 2 2 3 3 2 2 3 3 + - 5/144 y z + 7/288 x y z + 5/288 y z + 5/288 y z + 7/288 z y x + + 2 3 2 3 2 3 + + 5/144 y z , COEFF(0, -2, 3) = 1/18 x y z + 7/216 y z - 7/108 y z + + 2 3 2 3 3 3 3 2 2 + + 1/9 x y z - 7/216 y z + 7/216 z y - 1/18 z y x - 1/9 x y z + + 3 3 2 2 2 3 2 + - 1/18 x y z - 7/216 y z + 7/108 y z + 1/18 y x z , COEFF(1, -2, 3) + + 3 2 2 3 2 3 2 3 + = - 1/18 y x z - 1/9 x y z - 1/18 x y z - 5/216 y z + 5/108 y z + + 2 2 3 3 2 2 3 3 + + 1/9 x y z + 1/18 x y z + 5/216 y z + 5/216 y z - 5/216 z y + + 2 2 3 3 3 3 3 + - 5/108 y z + 1/18 z y x, COEFF(2, -2, 3) = 1/144 y z + 1/144 z y + + 2 2 2 3 2 2 3 2 2 + + 7/288 x y z + 1/72 y z + 7/288 y x z - 1/72 y z - 7/144 x y z + + 2 3 3 2 3 3 3 2 + + 7/144 x y z - 1/144 y z - 7/288 x y z - 7/288 z y x - 1/144 y z , + + 3 2 2 2 3 + COEFF(3, -2, 3) = - 1/288 y x z - 1/288 x y z - 1/144 x y z + + 3 2 3 2 2 3 3 2 + - 1/864 y z + 1/432 y z + 1/144 x y z + 1/288 x y z + 1/864 y z + + 3 3 2 2 2 3 3 + + 1/288 z y x - 1/432 y z + 1/864 y z - 1/864 z y , COEFF(-2, -1, 3) + + 2 3 2 2 2 2 3 3 2 + = - 5/96 x y z - 5/144 y z + 5/96 x y z + 1/36 x y z + 7/432 y z + + 2 2 3 3 2 3 3 + - 1/36 x y z + 5/144 y z - 1/54 y z + 1/54 y z - 7/432 z y + + 3 3 3 2 3 + + 7/288 z y x - 7/288 y x z , COEFF(-1, -1, 3) = - 7/36 x y z + + 35 3 3 35 2 2 25 2 2 35 3 2 49 3 3 2 + + --- z y - -- x y z + -- y z - --- y z - --- z y x - 5/36 y z + 288 96 96 288 288 + + 2 49 3 2 25 2 3 3 35 2 3 + + 7/36 x y z + --- y x z - -- y z + 5/36 y z + -- x y z , + 288 96 96 + + 49 3 3 49 3 2 35 2 3 3 3 + COEFF(0, -1, 3) = - --- z y + --- y z + -- y z + 7/18 z y x + 216 216 72 + + 35 2 2 2 2 2 3 3 2 + - -- y z - 4/9 x y z + 5/6 x y z + 4/9 x y z - 7/18 y x z + 72 + + 3 2 2 3 25 2 3 + - 7/27 y z + 7/27 y z - 5/6 x y z , COEFF(1, -1, 3) = - -- y z + 72 + + 2 3 25 2 2 2 3 3 + + 5/6 x y z + -- y z + 4/9 x y z - 4/9 x y z + 5/27 y z + 72 + + 3 2 2 2 2 35 3 2 35 3 3 + + 7/18 y x z - 5/6 x y z - 5/27 y z - --- y z + --- z y + 216 216 + + 3 3 2 2 2 35 2 3 + - 7/18 z y x, COEFF(2, -1, 3) = - 5/48 y z - 7/36 x y z - -- x y z + 96 + + 3 2 3 3 2 3 3 3 + + 7/144 y z - 7/144 z y + 5/48 y z + 7/36 x y z - 1/18 y z + + 2 49 3 2 35 2 2 49 3 3 + + 1/18 y z - --- y x z + -- x y z + --- z y x, COEFF(3, -1, 3) = + 288 96 288 + + 3 3 2 2 3 3 2 2 + 1/108 y z + 7/288 y x z + 1/36 x y z + 7/864 z y + 5/288 y z + + 2 3 3 2 3 2 2 3 3 + + 5/96 x y z - 7/864 y z - 1/36 x y z - 5/96 x y z - 7/288 z y x + + 2 3 2 2 3 2 2 + - 5/288 y z - 1/108 y z , COEFF(-2, 0, 3) = - 7/108 y z + 7/108 y z + + 3 3 2 3 3 2 3 2 + + 1/27 z y - 1/36 z + 1/36 z - 1/24 x z + 7/72 x y z + 1/24 x z + + 3 3 3 2 2 2 3 2 + - 1/18 z y x - 1/27 y z - 7/72 x y z + 1/18 y x z , COEFF(-1, 0, 3) + + 3 3 2 49 2 3 3 2 3 35 2 3 + = - 5/18 z y - 7/24 x z - -- x y z + 5/18 y z - 5/24 z + -- y z + 72 72 + + 3 3 49 2 2 2 3 2 35 2 2 + + 7/18 z y x + -- x y z + 5/24 z - 7/18 y x z - -- y z + 72 72 + + 3 3 3 3 2 14 3 3 + + 7/24 x z , COEFF(0, 0, 3) = 7/18 z - 8/9 z y x - 7/18 z + -- z y + 27 + + 3 49 2 2 2 2 2 2 3 + - 2/3 x z + -- y z + 2/3 x z - 14/9 x y z + 14/9 x y z + 54 + + 3 2 14 3 2 49 2 3 3 2 + + 8/9 y x z - -- y z - -- y z , COEFF(1, 0, 3) = - 8/9 y x z + 27 54 + + 10 3 2 2 2 3 35 2 3 35 2 2 2 + + -- y z + 14/9 x y z - 5/18 z + -- y z - -- y z + 5/18 z + 27 54 54 + + 2 3 3 10 3 3 3 2 3 + - 2/3 x z + 8/9 z y x - -- z y + 2/3 x z - 14/9 x y z , + 27 + + 3 2 3 3 3 2 + COEFF(2, 0, 3) = 7/18 y x z - 7/18 z y x - 7/24 x z - 1/12 z + + 2 2 3 2 2 49 2 3 3 3 3 2 + + 7/24 x z - 7/36 y z + 7/36 y z + -- x y z + 1/9 z y - 1/9 y z + 72 + + 3 49 2 2 2 3 2 + + 1/12 z - -- x y z , COEFF(3, 0, 3) = - 7/72 x y z + 1/72 z + 72 + + 2 2 3 2 3 3 3 2 + + 7/72 x y z + 1/54 y z + 1/24 x z + 1/18 z y x - 1/24 x z + + 2 2 2 3 3 2 3 3 3 + - 7/216 y z + 7/216 y z - 1/18 y x z - 1/54 z y - 1/72 z , + + 3 2 3 2 3 2 2 + COEFF(-2, 1, 3) = - 1/36 x y z - 5/72 x y z + 5/108 y z - 5/108 y z + + 3 2 3 2 3 2 2 2 + + 1/54 y z + 1/36 x y z - 1/18 y x z + 1/27 y z + 5/72 x y z + + 2 3 3 3 3 3 2 + - 1/54 y z + 1/18 z y x - 1/27 z y , COEFF(-1, 1, 3) = - 5/18 y z + + 35 2 3 3 2 25 2 2 3 3 35 2 2 + + -- x y z + 7/18 y x z + -- y z + 5/18 z y - -- x y z + 72 72 72 + + 25 2 3 3 3 2 3 2 + - -- y z - 7/18 z y x - 7/36 x y z - 5/36 y z + 5/36 y z + 72 + + 3 3 2 3 + + 7/36 x y z , COEFF(0, 1, 3) = 7/27 y z + 4/9 x y z - 4/9 x y z + + 14 3 3 35 2 2 2 3 3 3 35 2 3 + - -- z y - -- y z - 10/9 x y z + 8/9 z y x + -- y z + 27 54 54 + + 2 2 2 3 2 14 3 2 + + 10/9 x y z - 7/27 y z - 8/9 y x z + -- y z , COEFF(1, 1, 3) = + 27 + + 3 2 25 2 3 2 25 2 2 10 3 3 + - 5/27 y z - 4/9 x y z - -- y z + 5/27 y z + -- y z + -- z y + 54 54 27 + + 3 3 3 10 3 2 2 2 2 3 + + 4/9 x y z - 8/9 z y x - -- y z - 10/9 x y z + 10/9 x y z + 27 + + 3 2 35 2 2 35 2 3 3 + + 8/9 y x z , COEFF(2, 1, 3) = -- x y z - -- x y z + 1/18 y z + 72 72 + + 3 3 2 3 3 2 3 3 2 + - 1/9 z y + 5/36 y z + 1/9 y z + 7/18 z y x - 1/18 y z + + 2 3 3 2 2 2 + + 7/36 x y z - 7/36 x y z - 7/18 y x z - 5/36 y z , COEFF(3, 1, 3) = + + 2 3 3 2 2 3 2 3 + 5/72 x y z + 1/36 x y z + 5/216 y z - 1/54 y z - 1/108 y z + + 3 3 3 2 2 2 2 2 + - 1/18 z y x + 1/18 y x z - 1/36 x y z - 5/72 x y z + 1/108 y z + + 2 3 3 3 3 2 + - 5/216 y z + 1/54 z y , COEFF(-2, 2, 3) = 1/288 x y z - 1/288 x y z + + 2 3 2 3 3 2 3 3 + + 1/432 y z - 7/432 y z - 1/432 y z + 7/288 y x z + 7/432 z y + + 2 3 2 2 3 3 2 2 2 3 + - 1/72 y z - 1/48 x y z - 7/288 z y x + 1/72 y z + 1/48 x y z , + + 35 3 2 2 2 3 2 2 + COEFF(-1, 2, 3) = --- y z + 7/48 x y z - 7/288 x y z - 5/48 y z + 288 + + 2 49 3 2 2 3 49 3 3 2 3 + + 7/288 x y z - --- y x z - 7/48 x y z + --- z y x + 5/48 y z + 288 288 + + 3 2 35 3 3 2 + + 5/288 y z - 5/288 y z - --- z y , COEFF(0, 2, 3) = - 1/18 x y z + 288 + + 3 3 2 2 2 3 2 3 + + 1/18 x y z + 7/18 y x z + 7/36 y z - 7/216 y z - 7/36 y z + + 2 2 2 3 3 49 3 3 2 3 + - 1/3 x y z + 7/216 y z - 7/18 z y x + --- z y + 1/3 x y z + 216 + + 49 3 2 3 3 3 35 3 2 + - --- y z , COEFF(1, 2, 3) = 7/18 z y x + 5/216 y z + --- y z + 216 216 + + 2 2 2 2 2 2 3 3 + - 5/36 y z - 5/216 y z + 1/3 x y z - 1/3 x y z - 1/18 x y z + + 2 3 2 3 2 35 3 3 + + 5/36 y z + 1/18 x y z - 7/18 y x z - --- z y , COEFF(2, 2, 3) = + 216 + + 2 2 2 2 3 2 49 3 3 3 + - 7/48 x y z + 1/24 y z - 7/144 y z - --- z y x - 1/144 y z + 288 + + 3 3 2 3 2 2 3 2 + + 7/144 z y - 1/24 y z - 7/288 x y z + 7/48 x y z + 1/144 y z + + 3 49 3 2 2 3 + + 7/288 x y z + --- y x z , COEFF(3, 2, 3) = - 1/48 x y z + 288 + + 2 2 2 2 2 3 3 2 + - 1/144 y z + 1/48 x y z + 1/288 x y z + 7/288 z y x - 1/864 y z + + 3 3 3 3 2 3 3 2 + + 1/864 y z - 7/864 z y - 1/288 x y z + 1/144 y z + 7/864 y z + + 3 2 2 2 2 2 + - 7/288 y x z , COEFF(-2, 3, 3) = 1/288 x y z - 1/432 y z + + 3 2 2 3 3 2 3 3 + + 1/432 y z - 1/288 x y z - 1/288 y x z - 1/432 z y + + 3 3 2 3 3 2 + + 1/288 z y x + 1/432 y z , COEFF(-1, 3, 3) = 7/288 y x z + + 3 3 3 3 2 2 2 3 3 2 + - 7/288 z y x + 5/288 z y + 5/288 y z + 7/288 x y z - 5/288 y z + + 2 3 2 2 2 2 + - 5/288 y z - 7/288 x y z , COEFF(0, 3, 3) = - 7/216 y z + + 3 3 3 3 3 2 2 2 2 3 + + 1/18 z y x - 7/216 z y - 1/18 y x z + 1/18 x y z - 1/18 x y z + + 2 3 3 2 2 2 2 3 + + 7/216 y z + 7/216 y z , COEFF(1, 3, 3) = - 1/18 x y z - 5/216 y z + + 2 3 3 3 3 2 3 3 3 2 + + 1/18 x y z + 5/216 z y - 5/216 y z - 1/18 z y x + 1/18 y x z + + 2 2 2 2 3 3 2 3 + + 5/216 y z , COEFF(2, 3, 3) = 7/288 x y z - 1/144 z y + 1/144 y z + + 3 2 2 2 3 3 3 2 + + 1/144 y z - 1/144 y z + 7/288 z y x - 7/288 y x z + + 2 3 3 2 2 2 + - 7/288 x y z , COEFF(3, 3, 3) = 1/288 y x z + 1/864 y z + + 2 3 3 3 2 2 3 3 + + 1/288 x y z + 1/864 z y - 1/288 x y z - 1/288 z y x + + 3 2 2 3 + - 1/864 y z - 1/864 y z ] + +> print_coeff__lc_of_data(%, "coeff_dxx_", "fp", +> "3d.coeffs/3d.cube.order3/coeff-dxx.compute.c"); +bytes used=21296000276, alloc=56350640, time=5428.66 +bytes used=21297000424, alloc=56350640, time=5428.76 +bytes used=21298000888, 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alloc=56350640, time=6505.14 +bytes used=23941456656, alloc=56350640, time=6505.22 +bytes used=23942456796, alloc=56350640, time=6505.34 +bytes used=23943457020, alloc=56350640, time=6505.52 +bytes used=23944457400, alloc=56350640, time=6505.71 +bytes used=23945457680, alloc=56350640, time=6505.87 +bytes used=23946457952, alloc=56350640, time=6506.01 +bytes used=23947458200, alloc=56350640, time=6506.18 +bytes used=23948458340, alloc=56350640, time=6506.34 +bytes used=23949458500, alloc=56350640, time=6506.50 +bytes used=23950458636, alloc=56350640, time=6506.63 +bytes used=23951458784, alloc=56350640, time=6506.77 +bytes used=23952458968, alloc=56350640, time=6506.93 +> +# d^2/dxdy +> simplify( diff(interp_3d_cube_order3,x,y) ); +bytes used=23953459568, alloc=56350640, time=6507.07 +bytes used=23956238532, alloc=56350640, time=6507.35 +bytes used=23957238732, alloc=56350640, time=6507.45 +bytes used=23958239092, alloc=56350640, time=6507.57 +bytes used=23959239604, alloc=56350640, time=6507.69 +bytes used=23960239772, alloc=56350640, time=6507.79 +bytes used=23961239948, alloc=56350640, time=6507.89 +bytes used=23962240136, alloc=56350640, time=6508.00 +bytes used=23963240448, alloc=56350640, time=6508.10 +bytes used=23964240672, alloc=56350640, time=6508.21 +bytes used=23965241432, alloc=56350640, time=6508.32 +bytes used=23966241592, alloc=56350640, time=6508.42 +bytes used=23967242484, alloc=56350640, time=6508.53 +bytes used=23968242660, alloc=56350640, time=6508.64 +bytes used=23969242852, alloc=56350640, time=6508.75 +bytes used=23970243452, alloc=56350640, time=6508.87 +bytes used=23971244072, alloc=56350640, time=6508.98 +bytes used=23972245100, alloc=56350640, time=6509.10 +bytes used=23973246352, alloc=56350640, time=6509.22 +bytes used=23974247056, alloc=56350640, time=6509.34 +bytes used=23975247208, alloc=56350640, time=6509.46 +bytes used=23976247400, alloc=56350640, time=6509.59 +bytes used=23977247548, alloc=56350640, time=6509.71 +bytes used=23978247712, alloc=56350640, time=6509.84 +bytes used=23979247856, alloc=56350640, time=6509.98 +bytes used=23980247992, alloc=56350640, time=6510.11 +bytes used=23981248396, alloc=56350640, time=6510.25 +bytes used=23982248564, alloc=56350640, time=6510.39 +bytes used=23983249184, alloc=56350640, time=6510.53 +bytes used=23984250304, alloc=56350640, time=6510.67 +bytes used=23985250608, alloc=56350640, time=6510.81 +bytes used=23986251284, alloc=56350640, time=6510.96 +bytes used=23987251560, alloc=56350640, time=6511.11 +bytes used=23988251700, alloc=56350640, time=6511.26 +bytes used=23989252204, alloc=56350640, time=6511.41 +bytes used=23990253176, alloc=56350640, time=6511.57 +bytes used=23991253312, alloc=56350640, time=6511.73 +bytes used=23992253644, alloc=56350640, time=6511.88 +bytes used=23993253788, alloc=56350640, time=6512.05 +bytes used=23994253980, alloc=56350640, time=6512.21 +bytes used=23995254124, alloc=56350640, time=6512.38 +bytes used=23996254676, alloc=56350640, time=6512.54 +bytes used=23997294036, alloc=56350640, time=6512.67 +bytes used=23998294472, alloc=56350640, time=6512.78 +bytes used=23999294684, alloc=56350640, time=6512.90 +bytes used=24000294980, alloc=56350640, time=6513.03 +bytes used=24001295324, alloc=56350640, time=6513.16 +bytes used=24002295568, alloc=56350640, time=6513.30 + 2 2 +5/108 x y z DATA(3, 3, 1) - 98/9 x y z DATA(0, 0, 2) + + 2 35 2 + + 245/9 x y z DATA(0, 0, -1) - -- x y z DATA(0, 3, 1) + 27 + + 2 35 2 + - 7/108 x y z DATA(0, 3, 3) - -- x y z DATA(3, 0, 1) + 27 + + 2 2 + - 5/72 z DATA(2, 1, -1) + 1/432 x y z DATA(3, 3, 3) + + 2 2 49 2 + - 1/48 x y z DATA(-2, 2, 3) + -- x y z DATA(0, 0, 3) + 27 + + 35 2 2 + - -- x y z DATA(0, 3, -1) + 7/18 x y z DATA(0, 3, 2) + 36 + + 98 2 2 + - -- x y z DATA(0, 0, -2) + 7/54 x y z DATA(0, 3, -2) + 27 + + 2 2 + + 7/54 x y z DATA(3, 0, -2) - 1/216 x y z DATA(3, 3, -2) + + 2 2 35 2 2 + + 7/48 x y z DATA(-1, 2, 3) + -- x y z DATA(-1, -2, -1) + 48 + + 2 3 2 + - 5/54 z DATA(2, 1, 1) - 32/9 z x DATA(1, -1, 1) + + 2 2 2 2 + - 10/9 x y z DATA(1, 1, 3) + 7/144 x y z DATA(-1, -2, 3) + + 35 2 2 35 2 2 + - -- x y z DATA(-1, 1, 3) - -- x y z DATA(-1, -1, 3) + 72 96 + + 49 2 2 + - -- x y z DATA(-1, -2, 0) + 4/9 DATA(1, 1, 0) + 36 + + 2 2 2 2 + - 5/6 x y z DATA(1, -1, 3) + 5/3 x y z DATA(1, -2, -1) + + 3 2 3 2 + - 1/576 z x DATA(-2, -2, 3) + 7/72 z x DATA(-2, -1, -1) + + 49 3 2 3 2 + + --- z x DATA(-1, 2, 2) - 1/72 z x DATA(-2, 1, 3) + 576 + + 3 2 3 2 + - 7/576 z x DATA(-2, -2, -1) + 1/36 z x DATA(-2, -2, 0) + + 3 2 3 2 + + 7/576 z x DATA(-2, -2, 2) + 2/9 z x DATA(-2, 1, 0) + + 3 2 49 3 2 + + 7/72 z x DATA(-2, 1, 2) + -- z x DATA(2, 1, 2) + 72 + + 49 3 2 3 2 + - -- z x DATA(-1, 1, 2) + 7/36 z x DATA(1, 2, 2) + 72 + + 3 2 49 3 2 + - 7/72 z x DATA(-2, 1, -1) - -- z x DATA(2, -1, 2) + 72 + + 49 3 2 3 2 + - --- z x DATA(2, 2, 2) + 14/9 z x DATA(1, -1, 2) + 576 + + 2 2 2 2 + - 28/9 x y z DATA(1, -2, 0) - 7/24 x y z DATA(-1, -2, 2) + + 2 2 2 + + 14/3 x y DATA(2, 0, 0) + 7/48 x y z DATA(-2, 3, 0) + + 2 2 2 2 2 + + 1/32 x y z DATA(-2, 3, 2) - 2/3 x y z DATA(1, -2, 2) + + 2 2 2 35 2 2 2 + - 1/12 x y z DATA(1, -2, 3) + -- x y z DATA(2, -2, -1) + 64 + + 2 2 2 2 2 2 + + 5/3 x y z DATA(0, -2, 1) - 1/2 x y z DATA(0, -2, 2) + + 2 2 2 2 2 2 + - 7/192 x y z DATA(-1, -2, 3) + 7/12 x y z DATA(1, -1, 3) + + 2 2 2 2 2 2 + - 5/4 x y z DATA(1, -2, -1) + 4/3 x y z DATA(1, 1, 3) + + 2 2 2 35 2 2 2 + + 7/12 x y z DATA(-1, 1, 3) - -- x y z DATA(-1, -2, -1) + 64 + + 49 2 2 2 2 2 2 + + -- x y z DATA(-1, -2, 0) + 7/32 x y z DATA(-1, -2, 2) + 48 + + 49 2 2 2 2 2 2 + - -- x y z DATA(-2, 2, 0) + 7/192 x y z DATA(-2, 2, 3) + 48 + + 49 2 2 2 49 2 2 2 + - --- x y z DATA(-1, 2, 3) + --- x y z DATA(-1, -1, 3) + 192 192 + + 2 2 2 2 2 2 + - 7/32 x y z DATA(-2, 2, 2) + 7/32 x y z DATA(-2, -1, 2) + + 2 2 2 35 2 2 2 + - 7/192 x y z DATA(-2, -1, 3) + -- x y z DATA(-2, 2, -1) + 64 + + 2 2 2 2 + + 7/54 z DATA(2, 1, 0) + 5/4 x y z DATA(0, -2, -1) + + 2 2 2 2 2 2 + + 4/3 x y z DATA(0, 0, 3) + 1/2 x y z DATA(0, 3, 2) + + 2 2 2 2 2 2 + - 1/2 x y z DATA(3, 1, 2) + 1/12 x y z DATA(3, 1, 3) + + 35 2 2 2 2 2 2 + - -- x y z DATA(3, 2, -1) - 5/4 x y z DATA(0, 3, -1) + 64 + + 2 2 2 2 2 2 + - 1/12 x y z DATA(3, 0, 3) + 1/6 x y z DATA(0, 3, -2) + + 2 2 2 2 2 2 + + 1/6 x y z DATA(3, 0, -2) - 1/96 x y z DATA(3, 3, -2) + + 2 2 2 2 2 + - 8/3 x y z DATA(0, 0, -2) - 20/9 x y z DATA(0, -2, 1) + + 2 2 2 2 2 2 + + 1/12 x y z DATA(0, -2, 3) - 7/12 x y z DATA(0, -1, 3) + + 2 2 2 2 2 2 + - 4/3 x y z DATA(0, 1, 3) + 7/12 x y z DATA(0, 2, 3) + + 2 2 2 2 2 2 + + 1/192 x y z DATA(3, 3, 3) - 5/4 x y z DATA(3, 0, -1) + + 2 2 2 2 2 2 + + 1/2 x y z DATA(3, 0, 2) + 7/3 x y z DATA(1, -2, 0) + + 2 2 2 49 2 2 2 + + 1/2 x y z DATA(1, -2, 2) - -- x y z DATA(-1, -1, -2) + 96 + + 2 2 2 2 2 2 + + 7/6 x y z DATA(2, 1, -2) - 1/96 x y z DATA(-2, -2, -2) + + 2 2 2 2 2 2 + + 1/6 x y z DATA(1, -2, -2) + 35/3 x y z DATA(-1, 1, 1) + + 245 2 2 2 245 2 2 2 + + --- x y z DATA(-1, -1, -1) - --- x y z DATA(-1, 2, 1) + 64 48 + + 2 2 2 343 2 2 2 + - 49/3 x y z DATA(1, -1, 0) + --- x y z DATA(2, -1, 0) + 48 + + 2 2 2 2 2 + + 35/4 x y z DATA(1, -1, -1) + 2/3 x y z DATA(0, -2, 2) + + 2 2 2 2 2 2 + + 7/32 x y z DATA(3, 2, 2) - 7/192 x y z DATA(3, 2, 3) + + 35 2 2 2 35 2 2 2 + + -- x y z DATA(3, -1, 1) - -- x y z DATA(3, 2, 1) + 48 48 + + 49 3 2 2 2 2 + + -- z x DATA(-1, -1, 2) - 5/3 x y z DATA(-2, 1, 1) + 72 + + 35 2 2 2 35 2 2 2 + + -- x y z DATA(-2, 2, 1) - -- x y z DATA(-1, -2, 1) + 48 48 + + 2 2 2 35 2 2 2 + - 5/3 x y z DATA(1, -2, 1) + -- x y z DATA(2, -2, 1) + 48 + + 49 2 2 2 49 2 2 2 + + -- x y z DATA(2, -1, -2) + -- x y z DATA(-1, 2, -2) + 96 96 + + 49 2 2 2 2 2 2 + - -- x y z DATA(2, 2, -2) - 8/3 x y z DATA(1, 1, -2) + 96 + + 2 2 2 2 2 2 + + 7/96 x y z DATA(-2, -1, -2) - 7/96 x y z DATA(-2, 2, -2) + + 2 2 2 2 2 2 + + 7/6 x y z DATA(1, 2, -2) - 7/6 x y z DATA(1, -1, -2) + + 2 2 2 2 2 2 + + 7/96 x y z DATA(-1, -2, -2) + 1/6 x y z DATA(-2, 1, -2) + + 245 2 2 2 28 2 + + --- x y z DATA(-1, -1, 1) + -- z DATA(-1, 1, 0) + 48 27 + + 35 2 2 2 2 + - -- x y z DATA(2, -2, -1) + 1/9 x y z DATA(1, -2, 3) + 48 + + 2 2 2 2 2 2 + - 1/6 x y z DATA(3, 1, -2) + 7/3 x y z DATA(0, 3, 0) + + 2 2 2 2 2 2 + - 7/3 x y z DATA(0, -2, 0) + 8/3 x y z DATA(0, 1, -2) + + 2 2 2 2 2 2 + + 7/6 x y z DATA(0, -1, -2) - 7/6 x y z DATA(0, 2, -2) + + 2 2 2 2 2 2 + - 7/96 x y z DATA(2, -2, -2) - 7/6 x y z DATA(-1, 1, -2) + + 2 2 2 2 2 2 + + 80/3 x y z DATA(1, 1, 1) - 112/3 x y z DATA(1, 1, 0) + + 2 2 2 35 2 2 2 + + 5/48 x y z DATA(-2, -2, 1) - -- x y z DATA(-2, -1, 1) + 48 + + 49 2 2 2 2 2 2 + + -- x y z DATA(2, 3, 0) - 7/192 x y z DATA(2, 3, 3) + 48 + + 2 2 2 2 2 2 + + 7/3 x y z DATA(3, 0, 0) - 7/3 x y z DATA(1, 3, 0) + + 2 2 2 49 2 2 2 + + 112/3 x y z DATA(0, 1, 0) - -- x y z DATA(-1, 3, 0) + 48 + + 2 2 2 2 2 2 + + 7/192 x y z DATA(-1, 3, 3) - 7/12 x y z DATA(-1, 0, 3) + + 2 2 2 2 2 2 + - 4/3 x y z DATA(1, 0, 3) - 1/2 x y z DATA(1, 3, 2) + + 2 2 2 2 2 2 + + 1/12 x y z DATA(1, 3, 3) + 7/48 x y z DATA(3, -2, 0) + + 49 2 2 2 2 2 2 + - -- x y z DATA(3, -1, 0) - 7/3 x y z DATA(3, 1, 0) + 48 + + 49 2 2 2 2 2 2 + + -- x y z DATA(3, 2, 0) - 112/3 x y z DATA(0, 0, 0) + 48 + + 2 2 2 2 2 2 + - 7/96 x y z DATA(3, -1, -2) + 7/96 x y z DATA(3, 2, -2) + + 2 2 2 2 2 2 + - 1/6 x y z DATA(0, -2, -2) + 1/96 x y z DATA(3, -2, -2) + + 2 2 2 2 2 2 + - 49/3 x y z DATA(0, 2, 0) + 49/3 x y z DATA(0, -1, 0) + + 2 2 2 2 2 2 + + 7/32 x y z DATA(2, 3, 2) + 35/3 x y z DATA(2, 0, 1) + + 2 2 2 2 2 2 + + 49/3 x y z DATA(-1, 0, 0) - 1/2 x y z DATA(-2, 0, 2) + + 2 2 2 2 2 2 + + 1/12 x y z DATA(-2, 0, 3) + 7/96 x y z DATA(2, 3, -2) + + 2 2 2 2 2 2 + - 1/6 x y z DATA(-2, 0, -2) + 1/96 x y z DATA(-2, 3, -2) + + 2 2 2 2 2 2 + + 8/3 x y z DATA(1, 0, -2) - 1/6 x y z DATA(1, 3, -2) + + 2 2 2 2 2 2 + - 35/4 x y z DATA(-1, 0, -1) - 7/32 x y z DATA(-1, 3, 2) + + 35 2 2 2 2 2 2 + + -- x y z DATA(-1, 3, -1) - 7/48 x y z DATA(3, 3, 0) + 64 + + 2 2 2 2 2 2 + - 5/48 x y z DATA(3, -2, 1) + 5/4 x y z DATA(1, 3, -1) + + 2 2 2 35 2 2 2 + + 7/12 x y z DATA(2, 0, 3) - -- x y z DATA(2, 3, -1) + 64 + + 2 2 2 2 2 2 + - 20 x y z DATA(1, 0, -1) + 5/3 x y z DATA(-2, 0, 1) + + 2 2 2 2 2 2 + - 5/48 x y z DATA(-2, 3, 1) + 7/6 x y z DATA(-1, 0, -2) + + 2 2 2 2 2 2 + - 7/6 x y z DATA(2, 0, -2) - 7/96 x y z DATA(-1, 3, -2) + + 2 2 2 2 2 2 + + 49/3 x y z DATA(2, 1, 0) - 7/12 x y z DATA(2, 1, 3) + + 49 2 2 2 2 2 2 + + --- x y z DATA(2, 2, 3) - 80/3 x y z DATA(1, 0, 1) + 192 + + 2 2 2 2 2 2 + - 7/2 x y z DATA(2, 0, 2) + 112/3 x y z DATA(1, 0, 0) + + 49 2 2 2 2 2 2 + - -- x y z DATA(2, -2, 0) - 7/32 x y z DATA(2, -2, 2) + 48 + + 2 2 2 49 2 2 2 + + 7/192 x y z DATA(2, -2, 3) - --- x y z DATA(2, -1, 3) + 192 + + 2 2 2 2 2 2 + - 7/12 x y z DATA(1, 2, 3) + 7/2 x y z DATA(-1, 0, 2) + + 2 2 2 35 2 2 2 + + 8 x y z DATA(1, 0, 2) + -- x y z DATA(-1, 3, 1) + 48 + + 35 2 2 2 2 2 2 + - -- x y z DATA(2, 3, 1) - 5/64 x y z DATA(-2, 3, -1) + 48 + + 2 2 2 2 2 2 + - 49/3 x y z DATA(2, 0, 0) - 35/3 x y z DATA(-1, 0, 1) + + 2 2 2 + + 35/4 x y z DATA(2, 0, -1) - 140/9 x y DATA(1, 0, 0) + + 2 2 2 343 2 2 2 + + 7/2 x y z DATA(2, 1, 2) - --- x y z DATA(2, 2, 0) + 48 + + 2 2 2 343 2 2 2 + + 49/3 x y z DATA(1, 2, 0) + --- x y z DATA(-1, 2, 0) + 48 + + 2 2 2 245 2 2 2 + - 8 x y z DATA(1, 1, 2) + --- x y z DATA(2, 2, -1) + 64 + + 245 2 2 2 245 2 2 2 + + --- x y z DATA(2, 2, 1) - --- x y z DATA(2, -1, -1) + 48 64 + + 245 2 2 2 343 2 2 2 + - --- x y z DATA(2, -1, 1) - --- x y z DATA(-1, -1, 0) + 48 48 + + 2 2 2 2 2 2 + - 49/3 x y z DATA(-1, 1, 0) - 35/4 x y z DATA(2, 1, -1) + + 2 2 2 2 2 2 + - 35/3 x y z DATA(2, 1, 1) - 35/4 x y z DATA(1, 2, -1) + + 2 2 2 2 2 2 + + 5/3 x y z DATA(1, 3, 1) - 35/3 x y z DATA(1, 2, 1) + + 2 2 2 2 2 2 + - 1/192 x y z DATA(-2, 3, 3) + 5/4 x y z DATA(-2, 0, -1) + + 2 2 2 2 2 2 + - 7/3 x y z DATA(-2, 0, 0) + 5/64 x y z DATA(-2, -2, -1) + + 2 2 2 2 2 2 + - 1/32 x y z DATA(-2, -2, 2) + 1/192 x y z DATA(-2, -2, 3) + + 35 2 2 2 49 2 2 2 + - -- x y z DATA(-2, -1, -1) + -- x y z DATA(-1, 2, 2) + 64 32 + + 2 2 2 2 2 2 + + 35/4 x y z DATA(-1, 1, -1) + 35/3 x y z DATA(1, -1, 1) + + 2 2 2 245 2 2 2 + + 20 x y z DATA(1, 1, -1) - --- x y z DATA(-1, 2, -1) + 64 + + 2 2 2 2 2 2 + - 7/48 x y z DATA(-2, -2, 0) - 7/2 x y z DATA(-1, 1, 2) + + 2 2 2 2 2 2 + + 7/2 x y z DATA(1, 2, 2) - 5/4 x y z DATA(-2, 1, -1) + + 2 2 2 2 2 2 + + 7/3 x y z DATA(-2, 1, 0) + 1/2 x y z DATA(-2, 1, 2) + + 2 2 2 49 2 2 2 + - 1/12 x y z DATA(-2, 1, 3) - -- x y z DATA(-1, -1, 2) + 32 + + 49 2 2 2 49 2 2 2 + + -- x y z DATA(2, -1, 2) - -- x y z DATA(2, 2, 2) + 32 32 + + 2 2 2 3 2 + - 7/2 x y z DATA(1, -1, 2) + 7/144 z y x DATA(3, -2, 2) + + 3 2 3 2 + + 7/9 z y x DATA(0, -2, -1) - 35/6 z y x DATA(0, -1, -1) + + 3 2 3 2 + - 40/3 z y x DATA(0, -1, 1) + 7/3 z y x DATA(0, 2, -1) + + 3 2 3 2 + - 7/48 z y x DATA(3, 2, -1) + 7/48 z y x DATA(3, 2, 2) + + 3 2 3 2 + - 1/48 z y x DATA(3, 2, 3) + 5/6 z y x DATA(3, -1, 1) + + 3 2 3 2 + - 1/3 z y x DATA(3, 2, 1) - 1/288 z y x DATA(3, 3, -2) + + 3 2 3 2 + + 14/9 z y x DATA(0, 0, 3) - 7/18 z y x DATA(0, 3, -1) + + 3 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y z , COEFF(-1, -2, -2) = + + 2 2 3 2 2 3 2 + - 7/72 x y z - 5/72 x y z + 7/144 x y z + 5/96 x y z - 1/72 y z + + 3 2 2 2 2 2 2 2 3 2 + - 7/192 z y x - 7/192 x y z + 7/96 x y z + 7/144 z y x + + 3 2 3 2 + - 7/576 z x + 5/288 x z + 1/54 y z + 1/54 y z - 1/216 z + 1/108 z + + 3 2 3 3 2 2 2 2 + - 1/216 z - 1/72 y z + 5/288 x z + 7/288 x z - 5/48 x y z + + 2 2 2 2 + - 7/576 x z - 5/72 x y z + 5/96 x y z + 5/36 x y z - 5/144 x z + + 2 2 2 3 2 + - 1/27 y z + 1/36 y z , COEFF(0, -2, -2) = - 7/216 x z - 7/72 x y z + + 2 3 3 2 2 2 2 + + 7/54 x y z - 7/72 x y z + 1/36 z x + 1/12 x y z + 1/36 x z + + 2 2 2 2 3 2 2 2 + + 7/108 x z - 1/6 x y z + 7/54 x y z - 1/9 x y z + 7/36 x y z + + 3 2 2 2 3 2 2 2 + + 1/12 z y x - 7/27 x y z - 7/216 x z - 1/9 z y x + 2/9 x y z + + 2 2 2 2 3 2 + - 1/18 x z , COEFF(1, -2, -2) = - 2/9 x y z - 5/54 x y z + 1/9 x y z + + 2 3 2 3 2 2 2 2 2 2 2 + + 5/72 x y z + 1/72 y z - 1/12 z y x - 1/12 x y z + 1/6 x y z + + 3 2 3 2 3 + + 1/9 z y x - 1/36 z x + 5/216 x z - 1/54 y z - 1/54 y z + 1/216 z + + 2 3 2 3 3 2 2 + - 1/108 z + 1/216 z + 1/72 y z + 5/216 x z + 1/18 x z + + 2 2 2 2 2 + - 5/36 x y z - 1/36 x z - 5/54 x y z + 5/72 x y z + 5/27 x y z + + 2 2 2 2 2 2 + - 5/108 x z + 1/27 y z - 1/36 y z , COEFF(2, -2, -2) = 7/72 x y z + + 3 2 2 3 2 3 2 2 + + 1/36 x y z - 7/144 x y z - 1/48 x y z - 1/576 y z + 7/192 z y x + + 2 2 2 2 2 3 2 3 2 + + 7/192 x y z - 7/96 x y z - 7/144 z y x + 7/576 z x - 1/144 x z + + 3 2 3 2 3 + + 1/432 y z + 1/432 y z - 1/1728 z + 1/864 z - 1/1728 z - 1/576 y z + + 3 2 2 2 2 2 + - 1/144 x z - 7/288 x z + 1/24 x y z + 7/576 x z + 1/36 x y z + + 2 2 2 2 2 2 + - 1/48 x y z - 1/18 x y z + 1/72 x z - 1/216 y z + 1/288 y z , + + 2 2 2 2 + COEFF(3, -2, -2) = - 1/72 x y z + 1/144 x y z + 1/108 x y z + + 2 2 3 2 2 2 2 2 2 2 + + 1/288 x z + 1/144 z y x - 1/192 x y z - 1/576 x z + 1/96 x y z + + 2 3 3 2 2 3 + + 1/288 x y z - 1/216 x y z + 1/864 x z - 1/576 z x + 1/288 x y z + + 3 2 2 2 2 3 2 + - 1/192 z y x - 1/144 x y z - 1/216 x y z + 1/864 x z - 1/432 x z , + + 2 2 3 2 + COEFF(-2, -1, -2) = - 5/48 x y z - 5/72 x y z + 5/96 x y z + + 2 3 2 3 2 2 2 2 + + 7/144 x y z - 7/576 y z - 7/192 z y x - 7/192 x y z + + 2 2 2 3 2 3 2 3 + + 7/96 x y z + 5/96 z y x - 1/72 z x + 1/54 x z + 5/288 y z + + 2 3 2 3 3 + + 5/288 y z - 1/216 z + 1/108 z - 1/216 z - 7/576 y z + 1/54 x z + + 2 2 2 2 2 2 + + 1/36 x z - 7/72 x y z - 1/72 x z - 5/72 x y z + 7/144 x y z + + 2 2 2 2 2 + + 5/36 x y z - 1/27 x z - 5/144 y z + 7/288 y z , COEFF(-1, -1, -2) = + + 35 2 2 25 3 35 2 35 2 3 2 49 3 2 2 + -- x y z + -- x y z - -- x y z - -- x y z + 7/72 y z + --- z y x + 48 48 96 96 192 + + 49 2 2 49 2 2 2 35 3 2 3 2 + + --- x y z - -- x y z - -- z y x + 7/72 z x - 5/36 x z + 192 96 96 + + 3 2 3 2 3 + - 5/36 y z - 5/36 y z + 1/27 z - 2/27 z + 1/27 z + 7/72 y z + + 3 2 2 35 2 2 2 25 35 2 + - 5/36 x z - 7/36 x z + -- x y z + 7/72 x z + -- x y z - -- x y z + 48 48 96 + + 25 2 2 2 2 2 + - -- x y z + 5/18 x z + 5/18 y z - 7/36 y z , COEFF(0, -1, -2) = + 24 + + 3 3 2 3 2 2 2 35 2 + 7/27 x z - 2/9 z x + 7/27 x z + 5/6 z y x - 7/12 x y z + -- x y z + 18 + + 49 2 35 3 14 2 49 2 3 2 49 2 2 + + -- x y z - -- x y z - -- x z + -- x y z - 2/9 x z - -- x y z + 72 36 27 72 36 + + 3 2 2 2 2 2 35 2 2 + - 7/12 z y x + 5/6 x y z - 5/3 x y z - -- x y z + 4/9 x z + 36 + + 2 2 2 2 2 25 3 2 + + 7/6 x y z , COEFF(1, -1, -2) = 5/3 x y z + -- x y z - 5/6 x y z + 36 + + 35 2 3 2 3 2 2 2 2 2 2 2 + - -- x y z - 7/72 y z + 7/12 z y x + 7/12 x y z - 7/6 x y z + 72 + + 3 2 3 2 3 + - 5/6 z y x + 2/9 z x - 5/27 x z + 5/36 y z + 5/36 y z - 1/27 z + + 2 3 2 3 3 2 2 35 2 2 + + 2/27 z - 1/27 z - 7/72 y z - 5/27 x z - 4/9 x z + -- x y z + 36 + + 2 25 35 2 25 2 10 2 2 + + 2/9 x z + -- x y z - -- x y z - -- x y z + -- x z - 5/18 y z + 36 72 18 27 + + 2 2 35 2 2 3 35 2 + + 7/36 y z , COEFF(2, -1, -2) = - -- x y z - 5/24 x y z + -- x y z + 48 96 + + 2 3 2 49 3 2 2 49 2 2 49 2 2 2 + + 7/48 x y z + 7/576 y z - --- z y x - --- x y z + -- x y z + 192 192 96 + + 35 3 2 3 2 3 + + -- z y x - 7/72 z x + 1/18 x z - 5/288 y z - 5/288 y z + 1/216 z + 96 + + 2 3 2 3 3 2 2 + - 1/108 z + 1/216 z + 7/576 y z + 1/18 x z + 7/36 x z + + 2 2 2 2 2 + - 7/24 x y z - 7/72 x z - 5/24 x y z + 7/48 x y z + 5/12 x y z + + 2 2 2 2 2 2 + - 1/9 x z + 5/144 y z - 7/288 y z , COEFF(3, -1, -2) = - 1/36 x z + + 2 3 2 3 2 + - 1/108 x z - 7/288 x y z - 1/108 x z - 5/72 x y z - 5/96 z y x + + 2 2 2 2 3 2 2 3 2 2 + - 7/96 x y z + 1/72 x z + 1/72 z x - 7/288 x y z + 5/48 x y z + + 2 2 2 2 3 2 2 + + 7/144 x y z - 5/96 x y z + 1/54 x z + 5/144 x y z + 7/192 x y z + + 3 2 2 2 2 2 + + 7/192 z y x + 5/144 x y z, COEFF(-2, 0, -2) = - 1/6 x y z + + 2 3 2 2 3 + - 7/27 x y z + 7/54 x y z + 7/36 x y z + 7/54 x y z - 7/216 y z + + 2 2 2 2 2 3 2 2 + + 7/108 y z + 1/12 x y z - 1/18 y z - 7/72 z y x - 7/72 x y z + + 2 3 2 2 2 2 2 3 + - 1/9 x y z + 2/9 x y z - 1/9 x y z + 1/36 y z + 1/36 y z + + 3 2 2 2 2 2 49 2 2 + + 1/12 z y x - 7/216 y z, COEFF(-1, 0, -2) = 7/6 x y z - -- x y z + 36 + + 2 2 2 35 2 2 35 3 2 2 + + 5/6 x y z + 4/9 y z + -- x y z - 2/9 y z - -- x y z - 7/12 x y z + 18 36 + + 3 2 3 14 2 49 3 2 2 3 + + 7/27 y z - 2/9 y z - -- y z + -- z y x + 7/27 y z + 5/6 x y z + 27 72 + + 49 2 2 2 3 2 2 35 + + -- x y z - 5/3 x y z - 7/12 z y x - -- x y z, COEFF(0, 0, -2) = + 72 36 + + 3 2 2 3 2 2 98 2 2 2 + 4/3 z y x - 14/9 z y x - 14/9 x y z - -- x y z + 28/9 x y z + 27 + + 49 3 2 2 2 2 3 2 2 2 2 + + -- x y z - 8/3 x y z - 14/9 x y z + 28/9 x y z + 4/3 x y z + 27 + + 2 49 35 3 2 + - 14/9 x y z + -- x y z, COEFF(1, 0, -2) = - -- x y z + 2/9 y z + 27 27 + + 70 2 2 3 3 2 2 2 2 2 2 2 + + -- x y z + 10/9 x y z - 4/3 z y x + 8/3 x y z - 20/9 x y z + 27 + + 2 2 3 2 2 14 2 + + 14/9 x y z + 10/9 x y z - 7/27 y z - 7/27 y z - 4/3 x y z + -- y z + 27 + + 3 2 2 2 2 2 35 2 3 + + 14/9 z y x - 4/9 y z - 28/9 x y z - -- x y z + 2/9 y z , + 27 + + 2 2 3 2 2 2 3 + COEFF(2, 0, -2) = - 7/108 y z - 1/3 x y z + 1/18 y z - 1/36 y z + + 2 3 2 2 2 2 3 2 2 2 + - 7/9 x y z + 7/12 z y x + 2/3 x y z + 7/216 y z - 7/6 x y z + + 2 2 49 2 2 3 + + 7/216 y z + 7/18 x y z + 7/12 x y z + -- x y z + 7/18 x y z + 36 + + 49 3 2 2 49 2 2 + - -- z y x - 1/3 x y z - -- x y z - 1/36 y z, COEFF(3, 0, -2) = + 72 72 + + 2 3 2 3 2 2 2 2 2 + 7/54 x y z - 7/108 x y z + 1/18 x y z - 1/9 x y z + 1/6 x y z + + 2 2 2 2 2 3 2 2 + - 7/36 x y z + 1/18 x y z - 7/108 x y z - 1/12 x y z - 1/12 z y x + + 2 3 2 2 2 + + 7/72 x y z + 7/72 z y x , COEFF(-2, 1, -2) = - 5/36 x y z + + 3 2 2 3 2 3 2 2 + - 5/54 x y z + 5/72 x y z + 1/9 x y z - 1/36 y z - 1/12 z y x + + 2 2 2 2 2 3 2 3 2 + - 1/12 x y z + 1/6 x y z + 5/72 z y x + 1/72 z x - 1/54 x z + + 3 2 3 2 3 + + 5/216 y z + 5/216 y z + 1/216 z - 1/108 z + 1/216 z - 1/36 y z + + 3 2 2 2 2 2 + - 1/54 x z - 1/36 x z - 2/9 x y z + 1/72 x z - 5/54 x y z + + 2 2 2 2 2 2 + + 1/9 x y z + 5/27 x y z + 1/27 x z - 5/108 y z + 1/18 y z , + + 35 2 2 25 3 35 2 2 3 + COEFF(-1, 1, -2) = -- x y z + -- x y z - -- x y z - 5/6 x y z + 36 36 72 + + 2 3 2 2 2 2 2 2 2 35 3 2 + + 2/9 y z + 7/12 z y x + 7/12 x y z - 7/6 x y z - -- z y x + 72 + + 3 2 3 2 + - 7/72 z x + 5/36 x z - 5/27 y z - 5/27 y z - 1/27 z + 2/27 z + + 3 2 3 3 2 2 2 2 2 + - 1/27 z + 2/9 y z + 5/36 x z + 7/36 x z + 5/3 x y z - 7/72 x z + + 25 2 25 2 2 10 2 2 2 + + -- x y z - 5/6 x y z - -- x y z - 5/18 x z + -- y z - 4/9 y z , + 36 18 27 + + 70 2 2 2 2 2 2 3 2 2 + COEFF(0, 1, -2) = -- x y z + 8/3 x y z - 20/9 x y z - 4/3 z y x + 27 + + 2 2 3 35 2 2 + - 4/3 x y z - 7/27 x z - -- x y z - 7/27 x z - 28/9 x y z + 27 + + 2 3 2 2 14 2 35 3 + + 10/9 x y z + 10/9 z y x + 14/9 x y z + -- x z - -- x y z + 27 27 + + 2 2 2 3 2 2 3 + - 4/9 x z + 2/9 x z + 2/9 z x + 14/9 x y z , COEFF(1, 1, -2) = + + 2 2 25 3 2 2 3 2 + 20/9 x y z + -- x y z - 10/9 x y z - 10/9 x y z - 2/9 y z + 27 + + 3 2 2 2 2 2 2 2 3 2 3 2 + + 4/3 z y x + 4/3 x y z - 8/3 x y z - 10/9 z y x - 2/9 z x + + 3 2 3 2 3 + + 5/27 x z + 5/27 y z + 5/27 y z + 1/27 z - 2/27 z + 1/27 z - 2/9 y z + + 3 2 2 2 2 2 25 2 + + 5/27 x z + 4/9 x z + 20/9 x y z - 2/9 x z + -- x y z - 10/9 x y z + 27 + + 50 2 10 2 10 2 2 2 + - -- x y z - -- x z - -- y z + 4/9 y z , COEFF(2, 1, -2) = + 27 27 27 + + 35 2 2 3 35 2 2 3 2 + - -- x y z - 5/18 x y z + -- x y z + 1/3 x y z + 1/36 y z + 36 72 + + 3 2 2 2 2 2 2 2 35 3 2 3 2 + - 7/12 z y x - 7/12 x y z + 7/6 x y z + -- z y x + 7/72 z x + 72 + + 3 2 3 + - 1/18 x z - 5/216 y z - 5/216 y z - 1/216 z + 1/108 z - 1/216 z + + 2 3 3 2 2 2 2 2 + + 1/36 y z - 1/18 x z - 7/36 x z - 2/3 x y z + 7/72 x z + + 2 2 2 2 + - 5/18 x y z + 1/3 x y z + 5/9 x y z + 1/9 x z + 5/108 y z + + 2 2 2 3 + - 1/18 y z , COEFF(3, 1, -2) = - 1/54 x z + 5/108 x y z + 1/108 x z + + 2 2 2 2 3 2 3 2 + - 1/72 x z + 5/36 x y z - 1/18 x y z - 5/72 z y x - 1/72 z x + + 3 2 2 2 3 2 2 3 2 2 + + 1/12 z y x - 1/18 x y z + 1/36 x z + 1/108 x z + 1/12 x y z + + 2 2 2 2 2 2 2 + - 1/6 x y z + 1/9 x y z - 5/72 x y z + 5/108 x y z - 5/54 x y z , + + 2 2 3 2 2 3 + COEFF(-2, 2, -2) = 1/24 x y z + 1/36 x y z - 1/48 x y z - 7/144 x y z + + 2 3 2 2 2 2 2 2 2 + + 7/576 y z + 7/192 z y x + 7/192 x y z - 7/96 x y z + + 3 2 3 2 3 + - 1/48 z y x - 1/576 z x + 1/432 x z - 1/144 y z - 1/144 y z + + 2 3 2 3 3 2 2 + - 1/1728 z + 1/864 z - 1/1728 z + 7/576 y z + 1/432 x z + 1/288 x z + + 2 2 2 2 2 + + 7/72 x y z - 1/576 x z + 1/36 x y z - 7/144 x y z - 1/18 x y z + + 2 2 2 2 2 2 + - 1/216 x z + 1/72 y z - 7/288 y z , COEFF(-1, 2, -2) = - 7/24 x y z + + 3 2 35 2 3 2 49 3 2 2 + - 5/24 x y z + 7/48 x y z + -- x y z - 7/72 y z - --- z y x + 96 192 + + 49 2 2 49 2 2 2 3 2 3 2 + - --- x y z + -- x y z + 7/48 z y x + 7/576 z x - 5/288 x z + 192 96 + + 3 2 3 2 3 + + 1/18 y z + 1/18 y z + 1/216 z - 1/108 z + 1/216 z - 7/72 y z + + 3 2 2 35 2 2 2 + - 5/288 x z - 7/288 x z - -- x y z + 7/576 x z - 5/24 x y z + 48 + + 35 2 2 2 2 2 2 + + -- x y z + 5/12 x y z + 5/144 x z - 1/9 y z + 7/36 y z , + 96 + + 49 2 3 3 2 2 + COEFF(0, 2, -2) = - -- x y z - 1/36 z x - 1/3 x y z + 7/216 x z + 72 + + 2 2 3 2 2 49 2 2 2 2 2 2 2 + + 7/12 x y z + 7/12 z y x + -- x y z + 2/3 x y z - 7/6 x y z + 36 + + 3 2 2 2 3 2 + + 7/18 x y z - 7/108 x z + 1/18 x z + 7/18 x y z - 1/3 z y x + + 3 2 2 49 2 + + 7/216 x z - 7/9 x y z - 1/36 x z - -- x y z, COEFF(1, 2, -2) = + 72 + + 2 2 3 2 35 2 3 2 + - 2/3 x y z - 5/18 x y z + 1/3 x y z + -- x y z + 7/72 y z + 72 + + 3 2 2 2 2 2 2 2 3 2 3 2 + - 7/12 z y x - 7/12 x y z + 7/6 x y z + 1/3 z y x + 1/36 z x + + 3 2 3 + - 5/216 x z - 1/18 y z - 1/18 y z - 1/216 z + 1/108 z - 1/216 z + + 2 3 3 2 2 35 2 2 2 + + 7/72 y z - 5/216 x z - 1/18 x z - -- x y z + 1/36 x z + 36 + + 35 2 2 2 2 2 2 + - 5/18 x y z + -- x y z + 5/9 x y z + 5/108 x z + 1/9 y z - 7/36 y z + 72 + + 2 2 3 2 2 3 + , COEFF(2, 2, -2) = 7/24 x y z + 1/12 x y z - 7/48 x y z - 7/48 x y z + + 2 49 3 2 2 49 2 2 49 2 2 2 3 2 + - 7/576 y z + --- z y x + --- x y z - -- x y z - 7/48 z y x + 192 192 96 + + 3 2 3 2 + - 7/576 z x + 1/144 x z + 1/144 y z + 1/144 y z + 1/1728 z - 1/864 z + + 3 2 3 3 2 2 2 2 + + 1/1728 z - 7/576 y z + 1/144 x z + 7/288 x z + 7/24 x y z + + 2 2 2 2 + - 7/576 x z + 1/12 x y z - 7/48 x y z - 1/6 x y z - 1/72 x z + + 2 2 2 3 + - 1/72 y z + 7/288 y z , COEFF(3, 2, -2) = - 1/864 x z - 1/72 x y z + + 3 2 2 2 2 2 2 2 2 2 + - 7/192 z y x - 1/288 x z + 7/96 x y z - 7/192 x y z + + 2 2 2 2 2 3 3 2 + + 1/576 x z - 7/144 x y z + 1/432 x z + 7/288 x y z + 1/576 z x + + 2 2 2 3 2 2 + + 1/48 x y z - 1/24 x y z + 1/48 z y x - 1/72 x y z + 1/36 x y z + + 3 2 2 + - 1/864 x z + 7/288 x y z, COEFF(-2, 3, -2) = - 1/432 y z + + 3 2 2 2 2 2 2 2 + + 1/288 z y x - 1/192 x y z - 1/72 x y z + 1/288 y z - 1/216 x y z + + 2 2 2 3 3 2 3 + - 1/144 x y z + 1/144 x y z - 1/216 x y z - 1/576 y z + + 3 2 2 2 2 2 2 2 + - 1/192 z y x + 1/96 x y z + 1/288 x y z + 1/144 x y z + + 3 2 2 + + 1/864 y z + 1/864 y z - 1/576 y z + 1/108 x y z , COEFF(-1, 3, -2) = + + 2 2 2 3 2 2 2 + - 7/288 x y z - 5/96 x y z + 1/72 y z - 1/108 y z - 7/96 x y z + + 2 2 3 2 2 2 2 2 2 + - 5/72 x y z + 1/72 y z - 1/36 y z + 7/144 x y z + 7/192 x y z + + 3 2 2 3 3 2 + + 5/144 x y z - 1/108 y z + 7/192 z y x + 5/144 x y z - 7/288 z y x + + 2 3 2 2 2 2 + - 5/96 x y z + 5/48 x y z + 1/54 y z , COEFF(0, 3, -2) = 7/72 x y z + + 2 2 3 2 3 2 2 2 3 + - 1/12 x y z + 1/18 z y x - 1/12 z y x - 7/108 x y z + 7/72 x y z + + 2 3 2 2 2 2 2 2 2 + + 7/54 x y z - 7/108 x y z - 7/36 x y z - 1/9 x y z + 1/6 x y z + + 2 2 2 + + 1/18 x y z, COEFF(1, 3, -2) = - 5/72 x y z - 1/18 x y z + + 3 3 2 3 2 2 2 2 + + 5/108 x y z + 5/108 x y z - 1/18 z y x + 1/12 z y x + 1/12 x y z + + 2 2 2 3 2 2 2 2 + - 1/72 y z - 5/54 x y z - 1/72 y z + 1/36 y z + 1/9 x y z + + 2 2 2 2 2 2 3 2 + + 5/36 x y z - 1/6 x y z - 5/72 x y z + 1/108 y z - 1/54 y z + + 3 2 2 3 + + 1/108 y z , COEFF(2, 3, -2) = - 1/72 x y z + 1/48 x y z + 1/48 x y z + + 2 3 3 2 2 2 2 2 2 + + 1/576 y z - 1/864 y z - 7/192 z y x - 1/24 x y z - 7/144 x y z + + 3 2 2 3 2 2 + - 1/72 x y z + 7/288 x y z - 1/864 y z + 1/576 y z - 7/192 x y z + + 2 2 2 2 3 2 2 2 2 + + 7/96 x y z + 1/36 x y z + 7/288 z y x - 1/288 y z + 1/432 y z , + + 3 2 2 2 3 3 + COEFF(3, 3, -2) = 1/192 z y x - 1/288 x y z + 1/432 x y z + + 2 2 2 2 2 3 2 + - 1/288 x y z + 1/144 x y z + 1/144 x y z - 1/288 z y x + + 2 2 2 2 2 2 2 + + 1/192 x y z - 1/288 x y z - 1/216 x y z - 1/96 x y z + + 2 2 3 + + 1/432 x y z, COEFF(-2, -2, -1) = - 5/48 x y z - 7/108 x y z + + 2 2 3 2 3 2 2 2 2 + + 1/18 x y z + 7/144 x y z - 1/72 y z - 7/192 z y x - 1/24 x y z + + 2 2 2 3 2 3 2 3 + + 5/64 x y z + 7/144 z y x - 7/576 z x + 1/54 x z + 7/432 y z + + 2 3 2 3 3 + + 1/54 y z - 1/216 z + 5/576 z - 7/1728 z - 7/576 y z + 7/432 x z + + 2 2 2 2 2 2 + + 5/192 x z - 5/48 x y z - 1/72 x z - 2/27 x y z + 1/18 x y z + + 2 2 2 2 2 + + 5/36 x y z - 5/144 x z - 5/144 y z + 5/192 y z , COEFF(-1, -2, -1) + + 35 2 2 35 3 2 35 2 3 2 + = -- x y z + -- x y z - 7/18 x y z - -- x y z + 1/9 y z + 48 72 96 + + 49 3 2 2 2 2 35 2 2 2 49 3 2 49 3 2 + + --- z y x + 7/24 x y z - -- x y z - --- z y x + --- z x + 192 64 144 576 + + 3 2 3 + - 5/36 x z - 7/54 y z - 4/27 y z + 1/27 z - 5/72 z + 7/216 z + + 2 3 35 3 35 2 2 25 2 2 2 + + 7/72 y z - --- x z - --- x z + -- x y z + 7/72 x z + 5/9 x y z + 288 192 32 + + 2 25 2 25 2 2 2 2 + - 5/12 x y z - -- x y z + -- x z + 5/18 y z - 5/24 y z , + 24 96 + + 35 2 3 2 49 2 3 28 + COEFF(0, -2, -1) = -- x y z + 7/9 z y x + -- x y z - -- x y z + 18 72 27 + + 2 2 2 3 2 3 2 2 + + 7/27 x z - 2/9 x z - 2/3 x y z - 7/36 z x - 7/12 z y x + + 2 2 2 2 2 49 3 2 2 + + 5/4 x y z + 7/9 x y z + 8/9 x y z + --- x z + 5/12 x z + 216 + + 2 2 35 2 35 2 2 49 3 + - 5/3 x y z - -- x z - -- x y z - -- x y z , COEFF(1, -2, -1) = + 72 24 54 + + 2 2 35 3 2 35 2 3 2 + 5/3 x y z + -- x y z - 8/9 x y z - -- x y z - 1/9 y z + 54 72 + + 3 2 2 2 2 2 2 2 3 2 3 2 + + 7/12 z y x + 2/3 x y z - 5/4 x y z - 7/9 z y x + 7/36 z x + + 3 2 3 + - 5/27 x z + 7/54 y z + 4/27 y z - 1/27 z + 5/72 z - 7/216 z + + 2 3 35 3 2 2 25 2 2 2 20 + - 7/72 y z - --- x z - 5/12 x z + -- x y z + 2/9 x z + -- x y z + 216 24 27 + + 2 25 2 25 2 2 2 2 + - 5/9 x y z - -- x y z + -- x z - 5/18 y z + 5/24 y z , + 18 72 + + 35 2 2 3 2 2 3 + COEFF(2, -2, -1) = - -- x y z - 7/36 x y z + 7/18 x y z + 7/48 x y z + 48 + + 2 49 3 2 2 2 2 35 2 2 2 49 3 2 + + 1/72 y z - --- z y x - 7/24 x y z + -- x y z + --- z y x + 192 64 144 + + 49 3 2 3 2 + - --- z x + 1/18 x z - 7/432 y z - 1/54 y z + 1/216 z - 5/576 z + 576 + + 3 2 3 3 35 2 2 2 2 + + 7/1728 z + 7/576 y z + 7/144 x z + --- x z - 5/16 x y z + 192 + + 2 2 2 2 + - 7/72 x z - 2/9 x y z + 1/6 x y z + 5/12 x y z - 5/48 x z + + 2 2 2 2 2 + + 5/144 y z - 5/192 y z , COEFF(3, -2, -1) = - 1/18 x y z - 1/36 x y z + + 2 2 2 2 2 2 + + 1/72 x z + 5/48 x y z - 1/108 x z + 5/288 x z + 1/24 x y z + + 2 3 2 2 3 2 2 2 + - 7/288 x y z + 5/96 x y z - 7/864 x z - 5/72 x y z - 5/192 x z + + 3 3 2 3 2 2 3 2 + + 7/216 x y z + 7/576 z x + 1/27 x y z + 7/192 z y x - 7/144 z y x + + 2 2 2 25 2 2 35 3 2 + - 5/64 x y z , COEFF(-2, -1, -1) = -- x y z + -- x y z - 5/12 x y z + 32 72 + + 49 2 3 2 49 3 2 2 2 2 35 2 2 2 + - --- x y z + 7/72 y z + --- z y x + 7/24 x y z - -- x y z + 144 192 64 + + 35 3 2 3 2 35 3 + - -- z y x + 7/72 z x - 4/27 x z - --- y z - 5/36 y z + 1/27 z + 96 288 + + 2 3 49 2 3 3 2 2 35 2 2 + - 5/72 z + 7/216 z + --- y z - 7/54 x z - 5/24 x z + -- x y z + 576 48 + + 2 2 25 2 2 25 2 + + 1/9 x z + 5/9 x y z - 7/18 x y z - -- x y z + 5/18 x z + -- y z + 24 96 + + 35 2 2 175 2 2 175 3 35 2 + - --- y z , COEFF(-1, -1, -1) = - --- x y z - --- x y z + -- x y z + 192 32 48 12 + + 245 2 3 2 343 3 2 2 49 2 2 245 2 2 2 + + --- x y z - 7/9 y z - --- z y x - -- x y z + --- x y z + 96 192 24 64 + + 245 3 2 49 3 2 35 3 2 + + --- z y x - -- z x + 10/9 x z + -- y z + 10/9 y z - 8/27 z + 5/9 z + 96 72 36 + + 3 49 2 3 35 3 35 2 2 175 2 2 2 + - 7/27 z - -- y z + -- x z + -- x z - --- x y z - 7/9 x z + 72 36 24 32 + + 35 2 125 2 25 2 25 2 35 2 2 + - 25/6 x y z + -- x y z + --- x y z - -- x z - -- y z + -- y z , + 12 16 12 12 24 + + 49 3 245 2 2 2 2 + COEFF(0, -1, -1) = 70/9 x y z - -- x z + --- x y z + 25/2 x y z + 27 24 + + 175 2 2 2 2 2 56 2 2 + - --- x y z - 35/4 x y z - 20/3 x y z - -- x z - 10/3 x z + 12 27 + + 2 2 3 2 49 3 2 2 245 3 2 + + 14/3 x y z - 35/6 z y x + -- z y x + --- x y z + 35/9 x z + 12 36 + + 3 2 2 343 2 3 2 + + 14/9 z x + 16/9 x z - --- x y z - 49/9 x y z, COEFF(1, -1, -1) = + 72 + + 2 2 175 3 2 245 2 3 2 + - 25/2 x y z - --- x y z + 20/3 x y z + --- x y z + 7/9 y z + 36 72 + + 49 3 2 2 2 2 2 2 2 3 2 3 2 + - -- z y x - 14/3 x y z + 35/4 x y z + 35/6 z y x - 14/9 z x + 12 + + 40 35 3 2 3 49 2 3 + + -- x z - -- y z - 10/9 y z + 8/27 z - 5/9 z + 7/27 z + -- y z + 27 36 72 + + 35 3 2 2 175 2 2 2 + + -- x z + 10/3 x z - --- x y z - 16/9 x z - 50/9 x y z + 27 24 + + 2 125 2 2 25 2 35 2 2 + + 35/9 x y z + --- x y z - 25/9 x z + -- y z - -- y z , + 12 12 24 + + 175 2 2 35 3 35 2 49 2 3 + COEFF(2, -1, -1) = --- x y z + -- x y z - -- x y z - -- x y z + 32 24 12 48 + + 2 343 3 2 2 49 2 2 245 2 2 2 245 3 2 + - 7/72 y z + --- z y x + -- x y z - --- x y z - --- z y x + 192 24 64 96 + + 49 3 2 35 3 2 3 + + -- z x - 4/9 x z + --- y z + 5/36 y z - 1/27 z + 5/72 z - 7/216 z + 72 288 + + 49 2 3 3 35 2 2 35 2 2 2 + - --- y z - 7/18 x z - -- x z + -- x y z + 7/9 x z + 5/3 x y z + 576 24 16 + + 2 2 2 25 2 35 2 2 + - 7/6 x y z - 25/8 x y z + 5/6 x z - -- y z + --- y z , + 96 192 + + 2 3 2 2 2 + COEFF(3, -1, -1) = 5/12 x y z - 7/72 z x - 5/36 x z + 7/36 x y z + + 25 2 49 2 3 2 35 2 2 25 2 2 + + -- x y z + --- x y z - 1/9 x z - -- x y z - -- x y z + 48 288 96 32 + + 35 3 2 2 2 2 49 3 2 2 + - --- x y z - 7/24 x y z + 5/24 x z + 2/27 x z - --- z y x + 144 192 + + 35 2 2 2 3 35 3 2 + + -- x y z + 7/108 x z - 5/18 x y z + -- z y x , COEFF(-2, 0, -1) = + 64 96 + + 49 3 2 2 2 35 2 2 3 2 2 2 + --- y z + 5/4 x y z - -- y z - 7/36 y z - 5/3 x y z - 2/9 y z + 216 72 + + 2 49 3 35 2 2 2 2 49 3 2 + + 7/27 y z + 7/9 x y z - -- x y z - -- x y z + 5/12 y z + -- z y x + 54 24 72 + + 35 2 2 2 2 3 2 2 28 + + -- x y z + 8/9 x y z - 2/3 x y z - 7/12 z y x - -- x y z + 18 27 + + 2 3 245 3 2 56 + + 7/9 x y z , COEFF(-1, 0, -1) = --- x y z + 16/9 y z - -- y z + 36 27 + + 2 2 2 2 3 2 343 3 2 49 3 2 2 + - 35/4 x y z - 35/6 x y z - 20/3 x y z - --- z y x + -- z y x + 72 12 + + 2 2 2 175 2 2 + - 49/9 x y z + 14/3 x y z - --- x y z + 70/9 x y z + 35/9 y z + 12 + + 245 2 2 49 3 2 2 2 3 2 2 + + --- x y z - -- y z + 25/2 x y z + 14/9 y z - 10/3 y z , + 24 27 + + 2 2 2 3 2 2 2 2 2 + COEFF(0, 0, -1) = 20 x y z - 28/3 z y x - 32/3 x y z + 245/9 x y z + + 2 2 2 2 2 3 392 + + 112/9 x y z - 70/3 x y z + 112/9 x y z + 98/9 x y z - --- x y z + 27 + + 343 3 2 2 3 2 + - --- x y z - 70/3 x y z + 98/9 z y x , COEFF(1, 0, -1) = + 27 + + 2 2 2 2 2 2 2 3 2 2 + - 80/9 x y z + 70/3 x y z - 20 x y z - 175/9 x y z + 28/3 z y x + + 2 3 2 56 49 3 2 3 2 + - 16/9 y z - 98/9 z y x + -- y z + -- y z - 14/9 y z - 112/9 x y z + 27 27 + + 280 2 2 2 2 245 3 2 2 + + --- x y z + 10/3 y z + 50/3 x y z + --- x y z + 32/3 x y z + 27 27 + + 2 3 2 2 3 2 + - 70/9 x y z - 35/9 y z , COEFF(2, 0, -1) = 7/3 x y z + 8/3 x y z + + 2 2 2 3 35 2 343 3 2 2 245 2 2 + - 5 x y z + 7/36 y z + -- y z + --- z y x + 2/9 y z - --- x y z + 72 72 24 + + 2 2 2 2 2 2 2 2 + + 35/6 x y z - 5/12 y z - 28/9 x y z + 35/4 x y z - 14/3 x y z + + 2 49 3 2 2 49 3 49 3 + - 7/27 y z + 49/9 x y z - -- z y x - --- y z - -- x y z , + 12 216 18 + + 49 3 14 2 2 3 2 2 + COEFF(3, 0, -1) = --- x y z + -- x y z + 2/3 x y z + 7/12 z y x + 108 27 + + 2 3 2 2 35 2 2 2 2 + - 7/18 x y z + 5/6 x y z + -- x y z - 4/9 x y z - 7/9 x y z + 24 + + 49 3 2 35 2 2 2 2 25 2 2 + - -- z y x - -- x y z - 5/4 x y z , COEFF(-2, 1, -1) = -- x y z + 72 36 24 + + 35 3 2 2 3 2 3 2 2 + + -- x y z - 5/9 x y z - 7/9 x y z + 2/9 y z + 7/12 z y x + 54 + + 2 2 2 2 2 35 3 2 3 2 + + 2/3 x y z - 5/4 x y z - -- z y x - 7/72 z x + 4/27 x z + 72 + + 35 3 2 3 2 3 + - --- y z - 5/27 y z - 1/27 z + 5/72 z - 7/216 z + 7/36 y z + 216 + + 3 2 2 2 2 2 20 2 + + 7/54 x z + 5/24 x z + 5/3 x y z - 1/9 x z + -- x y z - 8/9 x y z + 27 + + 25 2 2 25 2 2 2 + - -- x y z - 5/18 x z + -- y z - 5/12 y z , COEFF(-1, 1, -1) = + 18 72 + + 175 2 2 175 3 2 2 3 2 + - --- x y z - --- x y z + 35/9 x y z + 35/6 x y z - 16/9 y z + 24 36 + + 49 3 2 2 2 2 2 2 2 245 3 2 49 3 2 + - -- z y x - 14/3 x y z + 35/4 x y z + --- z y x + -- z x + 12 72 72 + + 35 3 40 2 3 2 3 + - 10/9 x z + -- y z + -- y z + 8/27 z - 5/9 z + 7/27 z - 14/9 y z + 27 27 + + 35 3 35 2 2 2 2 2 2 + - -- x z - -- x z - 25/2 x y z + 7/9 x z - 50/9 x y z + 20/3 x y z + 36 24 + + 125 2 25 2 2 2 2 + + --- x y z + -- x z - 25/9 y z + 10/3 y z , COEFF(0, 1, -1) = + 12 12 + + 2 2 56 3 2 2 245 3 + - 35/9 x z - 175/9 x y z + -- x z - 14/9 z x - 16/9 x z + --- x y z + 27 27 + + 2 2 2 49 3 3 2 2 2 2 2 + - 20 x y z + -- x z + 28/3 z y x + 70/3 x y z - 80/9 x y z + 27 + + 2 2 3 3 2 280 2 2 + - 112/9 x y z - 98/9 x y z - 70/9 z y x + --- x y z + 50/3 x y z + 27 + + 2 2 2 2 2 2 175 3 + + 10/3 x z + 32/3 x y z, COEFF(1, 1, -1) = - 50/3 x y z - --- x y z + 27 + + 2 2 3 2 3 2 2 2 2 + + 80/9 x y z + 70/9 x y z + 16/9 y z - 28/3 z y x - 32/3 x y z + + 2 2 2 3 2 3 2 40 35 3 40 + + 20 x y z + 70/9 z y x + 14/9 z x - -- x z - -- y z - -- y z + 27 27 27 + + 2 3 2 3 35 3 2 2 + - 8/27 z + 5/9 z - 7/27 z + 14/9 y z - -- x z - 10/3 x z + 27 + + 2 2 2 200 2 2 + - 50/3 x y z + 16/9 x z - --- x y z + 80/9 x y z + 125/9 x y z + 27 + + 2 2 2 2 175 2 2 + + 25/9 x z + 25/9 y z - 10/3 y z , COEFF(2, 1, -1) = --- x y z + 24 + + 35 3 2 2 3 2 49 3 2 2 + + -- x y z - 35/9 x y z - 7/3 x y z - 2/9 y z + -- z y x + 18 12 + + 2 2 2 2 2 245 3 2 49 3 2 + + 14/3 x y z - 35/4 x y z - --- z y x - -- z x + 4/9 x z + 72 72 + + 35 3 2 3 2 3 + + --- y z + 5/27 y z + 1/27 z - 5/72 z + 7/216 z - 7/36 y z + 216 + + 3 35 2 2 2 2 2 2 + + 7/18 x z + -- x z + 5 x y z - 7/9 x z + 20/9 x y z - 8/3 x y z + 24 + + 2 2 25 2 2 2 + - 25/6 x y z - 5/6 x z - -- y z + 5/12 y z , COEFF(3, 1, -1) = + 72 + + 3 2 2 2 2 10 35 3 2 2 2 + 7/72 z x - 5/6 x y z + 4/9 x y z - -- x y z + -- z y x - 5/24 x z + 27 72 + + 2 25 2 2 2 2 2 2 35 3 + + 1/9 x z - -- x y z + 5/4 x y z + 5/9 x y z - --- x y z + 24 108 + + 3 3 2 2 25 2 2 + - 7/108 x z - 7/12 z y x + -- x y z - 2/27 x z + 5/36 x z + 36 + + 2 3 2 2 2 2 + + 7/18 x y z - 2/3 x y z, COEFF(-2, 2, -1) = - 5/16 x y z + + 3 2 49 2 3 2 49 3 2 2 + - 7/36 x y z + 1/6 x y z + --- x y z - 7/72 y z - --- z y x + 144 192 + + 2 2 35 2 2 2 3 2 3 2 + - 7/24 x y z + -- x y z + 7/48 z y x + 7/576 z x - 1/54 x z + 64 + + 3 2 3 49 2 3 + + 7/144 y z + 1/18 y z + 1/216 z - 5/576 z + 7/1728 z - --- y z + 576 + + 3 2 2 35 2 2 2 + - 7/432 x z - 5/192 x z - -- x y z + 1/72 x z - 2/9 x y z + 48 + + 2 2 2 2 35 2 2 + + 7/18 x y z + 5/12 x y z + 5/144 x z - 5/48 y z + --- y z , + 192 + + 35 2 2 35 3 2 245 2 3 + COEFF(-1, 2, -1) = -- x y z + -- x y z - 7/6 x y z - --- x y z + 16 24 96 + + 2 343 3 2 2 49 2 2 245 2 2 2 49 3 2 + + 7/9 y z + --- z y x + -- x y z - --- x y z - -- z y x + 192 24 64 48 + + 49 3 2 3 2 3 + - --- z x + 5/36 x z - 7/18 y z - 4/9 y z - 1/27 z + 5/72 z - 7/216 z + 576 + + 49 2 3 35 3 35 2 2 175 2 2 2 + + -- y z + --- x z + --- x z + --- x y z - 7/72 x z + 5/3 x y z + 72 288 192 32 + + 35 2 2 25 2 2 35 2 2 + - -- x y z - 25/8 x y z - -- x z + 5/6 y z - -- y z , COEFF(0, 2, -1) + 12 96 24 + + 49 3 3 2 49 3 + = - 7/27 x z - -- x y z + 7/3 z y x - 28/9 x y z - --- x z + 18 216 + + 49 3 2 2 2 35 2 245 2 2 3 2 + - -- z y x + 2/9 x z + -- x z - --- x y z + 7/36 z x + 12 72 24 + + 2 2 343 2 3 2 2 2 2 + + 35/6 x y z + 49/9 x y z + --- x y z - 5 x y z - 14/3 x y z + 72 + + 2 2 2 2 2 2 2 2 + + 35/4 x y z - 5/12 x z + 8/3 x y z, COEFF(1, 2, -1) = 5 x y z + + 35 3 2 245 2 3 2 49 3 2 2 + + -- x y z - 8/3 x y z - --- x y z - 7/9 y z + -- z y x + 18 72 12 + + 2 2 2 2 2 3 2 3 2 + + 14/3 x y z - 35/4 x y z - 7/3 z y x - 7/36 z x + 5/27 x z + + 3 2 3 49 2 3 35 3 + + 7/18 y z + 4/9 y z + 1/27 z - 5/72 z + 7/216 z - -- y z + --- x z + 72 216 + + 2 2 175 2 2 2 2 + + 5/12 x z + --- x y z - 2/9 x z + 20/9 x y z - 35/9 x y z + 24 + + 2 25 2 2 35 2 2 + - 25/6 x y z - -- x z - 5/6 y z + -- y z , COEFF(2, 2, -1) = + 72 24 + + 35 2 2 3 2 49 2 3 2 + - -- x y z - 7/12 x y z + 7/6 x y z + -- x y z + 7/72 y z + 16 48 + + 343 3 2 2 49 2 2 245 2 2 2 49 3 2 49 3 2 + - --- z y x - -- x y z + --- x y z + -- z y x + --- z x + 192 24 64 48 576 + + 3 2 3 + - 1/18 x z - 7/144 y z - 1/18 y z - 1/216 z + 5/576 z - 7/1728 z + + 49 2 3 3 35 2 2 35 2 2 2 + + --- y z - 7/144 x z - --- x z - -- x y z + 7/72 x z - 2/3 x y z + 576 192 16 + + 2 2 2 2 35 2 2 + + 7/6 x y z + 5/4 x y z + 5/48 x z + 5/48 y z - --- y z , + 192 + + 49 2 3 3 + COEFF(3, 2, -1) = - --- x y z + 1/108 x z + 7/72 x y z + 1/9 x y z + 288 + + 2 2 49 3 2 2 2 3 35 2 2 + + 7/24 x y z + --- z y x - 5/288 x z + 7/864 x z + -- x y z + 192 96 + + 2 2 2 35 2 2 2 2 2 2 + - 1/6 x y z + 5/16 x y z - -- x y z - 1/72 x z + 5/192 x z + 64 + + 3 2 3 2 2 2 + - 7/48 z y x - 7/576 z x - 7/36 x y z - 5/24 x y z , COEFF(-2, 3, -1) + + 2 2 2 3 3 2 3 2 2 + = - 5/192 y z + 5/288 y z - 7/864 y z - 7/288 z y x + 7/192 z y x + + 2 2 2 2 2 2 3 2 2 + - 1/18 x y z + 5/96 x y z + 1/24 x y z + 7/576 y z + 5/48 x y z + + 2 2 2 2 2 + + 1/27 x y z - 5/64 x y z - 5/72 x y z + 1/72 y z - 1/108 y z + + 2 3 3 2 + - 7/144 x y z + 7/216 x y z - 1/36 x y z, COEFF(-1, 3, -1) = + + 2 2 25 2 25 2 2 2 2 + - 7/24 x y z + -- x y z - -- x y z - 5/18 x y z + 5/24 y z + 48 32 + + 35 2 2 3 2 2 49 3 2 + - -- x y z + 7/108 y z - 5/36 y z + 5/12 x y z + --- z y x + 96 288 + + 2 3 49 3 2 2 35 3 35 2 3 + + 2/27 y z - 7/72 y z - --- z y x - --- x y z + -- x y z + 192 144 96 + + 35 2 2 2 2 2 2 + + -- x y z - 1/9 y z + 7/36 x y z, COEFF(0, 3, -1) = - 7/9 x y z + 64 + + 49 2 3 3 2 2 35 2 2 2 2 + - -- x y z + 7/12 z y x - -- x y z + 5/6 x y z - 4/9 x y z + 72 36 + + 2 2 49 3 3 2 14 35 2 2 + + 2/3 x y z + --- x y z - 7/18 z y x + -- x y z + -- x y z + 108 27 24 + + 2 2 2 2 2 2 3 25 2 + - 5/4 x y z , COEFF(1, 3, -1) = 5/4 x y z - 7/108 y z + -- x y z + 36 + + 3 2 35 3 2 2 2 35 2 3 + + 7/18 z y x - --- x y z - 2/3 x y z + 4/9 x y z + -- x y z + 108 72 + + 2 2 10 2 2 2 2 3 + - 5/24 y z - -- x y z - 2/27 y z - 5/6 x y z + 1/9 y z + 7/72 y z + 27 + + 3 2 2 2 25 2 2 2 + - 7/12 z y x + 5/36 y z - -- x y z + 5/9 x y z, COEFF(2, 3, -1) = + 24 + + 2 2 2 2 3 2 + - 5/24 x y z + 5/192 y z - 7/36 x y z + 7/72 x y z - 1/6 x y z + + 2 2 2 35 2 2 2 49 3 2 + - 1/72 y z + 7/24 x y z - -- x y z + 1/9 x y z - --- z y x + 64 288 + + 2 3 35 2 2 3 49 3 2 2 + - 7/48 x y z + -- x y z + 7/864 y z + --- z y x + 1/108 y z + 96 192 + + 2 2 2 2 3 2 + - 5/288 y z + 5/16 x y z - 7/576 y z , COEFF(3, 3, -1) = 1/36 x y z + + 2 2 3 2 2 3 + + 5/144 x y z + 7/288 x y z - 1/54 x y z - 1/24 x y z - 7/432 x y z + + 2 2 2 3 2 3 2 2 + - 5/96 x y z + 1/36 x y z + 7/288 z y x - 7/192 z y x + + 2 2 2 2 2 2 2 + + 5/64 x y z - 5/96 x y z , COEFF(-2, -2, 0) = 7/36 x y z + + 3 2 3 3 2 2 2 2 2 3 2 + + 4/27 x y z - 1/9 x y z + 1/12 z y x - 7/48 x y z - 1/9 z y x + + 3 2 3 2 3 + + 1/36 z x - 1/36 x - 1/27 y z - 1/36 y - 7/432 z + 1/108 z + + 2 3 2 3 2 2 2 2 2 + + 1/36 y z + 1/48 x - 1/27 x z + 1/48 y - 7/144 x z + 7/36 x y z + + 2 2 2 2 2 2 + - 7/27 x y z - 1/12 x y + 1/9 x y - 1/12 x y + 1/16 x y + 7/108 x z + + 2 2 2 49 2 2 + + 7/108 y z + 1/144 - 7/144 y z , COEFF(-1, -2, 0) = - -- x y z + 36 + + 3 2 3 3 2 2 49 2 2 2 3 2 + - 10/9 x y z + 5/6 x y z - 7/12 z y x + -- x y z + 7/9 z y x + 48 + + 3 2 3 2 3 2 3 + - 7/36 z x + 5/24 x + 8/27 y z + 2/9 y + 7/54 z - 2/27 z - 2/9 y z + + 2 3 2 49 2 2 35 2 2 35 2 + - 7/48 x + 5/18 x z - 1/6 y + --- x z - -- x y z + -- x y z + 144 24 18 + + 2 2 2 2 35 2 14 2 + + 5/8 x y - 5/6 x y + 7/12 x y - 7/16 x y - -- x z - -- y z - 1/18 + 72 27 + + 2 2 2 2 2 2 2 98 2 + + 7/18 y z , COEFF(0, -2, 0) = 28/9 x y z - 7/3 x y z - -- x y z + 27 + + 2 49 2 2 14 3 2 2 2 2 + - 4/3 x y + -- x z + 1/3 x - -- x z - 7/9 x z + 14/9 x y + x y + 54 27 + + 56 3 49 2 2 3 2 2 3 2 2 3 + + -- x y z + -- x y z + 4/3 z y x + 4/9 z x - 14/9 x y z + 27 18 + + 2 3 2 2 2 + - 7/6 x y - 7/18 x - 16/9 z y x , COEFF(1, -2, 0) = - 28/9 x y z + + 40 3 2 3 3 2 2 2 2 2 3 2 + - -- x y z + 10/9 x y z - 4/3 z y x + 7/3 x y z + 16/9 z y x + 27 + + 3 2 3 2 3 2 3 + - 4/9 z x + 5/18 x - 8/27 y z - 2/9 y - 7/54 z + 2/27 z + 2/9 y z + + 2 10 3 2 2 2 35 2 2 70 2 + - 1/3 x + -- x z + 1/6 y + 7/9 x z - -- x y z + -- x y z + 27 18 27 + + 2 2 2 2 35 2 14 2 + + 5/6 x y - 10/9 x y + 4/3 x y - x y - -- x z + -- y z + 1/18 + 54 27 + + 2 2 49 2 2 3 2 3 + - 7/18 y z , COEFF(2, -2, 0) = -- x y z + 4/9 x y z - 1/3 x y z + 36 + + 3 2 2 49 2 2 2 3 2 3 2 + + 7/12 z y x - -- x y z - 7/9 z y x + 7/36 z x - 1/12 x + 48 + + 3 2 3 2 3 2 + + 1/27 y z + 1/36 y + 7/432 z - 1/108 z - 1/36 y z + 7/48 x + + 3 2 49 2 2 2 2 2 2 + - 1/9 x z - 1/48 y - --- x z + 7/12 x y z - 7/9 x y z - 1/4 x y + 144 + + 2 2 2 2 2 + + 1/3 x y - 7/12 x y + 7/16 x y + 7/36 x z - 7/108 y z - 1/144 + + 2 2 2 3 2 2 + + 7/144 y z , COEFF(3, -2, 0) = 1/12 x y - 1/18 x y - 1/12 z y x + + 3 2 2 2 2 3 2 2 + - 1/36 z x + 7/48 x y z - 2/27 x y z + 1/72 x - 7/72 x y z + + 2 3 2 2 2 2 3 + + 1/24 x y + 1/9 z y x - 7/216 x z + 7/54 x y z + 1/18 x y z + + 2 3 2 2 2 2 2 2 + - 1/48 x + 1/54 x z + 7/144 x z - 1/16 x y - 7/36 x y z , + + 35 2 2 3 2 3 3 2 2 + COEFF(-2, -1, 0) = - -- x y z - 10/9 x y z + 7/9 x y z - 7/12 z y x + 24 + + 49 2 2 2 3 2 3 2 3 + + -- x y z + 5/6 z y x - 2/9 z x + 2/9 x + 5/18 y z + 5/24 y + 48 + + 2 3 2 3 2 3 2 + + 7/54 z - 2/27 z - 7/36 y z - 1/6 x + 8/27 x z - 7/48 y + + 2 2 49 2 2 35 2 2 2 + + 7/18 x z - -- x y z + -- x y z + 7/12 x y - 5/6 x y + 5/8 x y + 36 18 + + 2 2 14 2 35 2 49 2 2 + - 7/16 x y - -- x z - -- y z - 1/18 + --- y z , COEFF(-1, -1, 0) = + 27 72 144 + + 245 2 2 3 2 3 49 3 2 2 343 2 2 2 + --- x y z + 25/3 x y z - 35/6 x y z + -- z y x - --- x y z + 24 12 48 + + 3 2 3 2 3 28 2 16 3 + - 35/6 z y x + 14/9 z x - 5/3 x - 20/9 y z - 5/3 y - -- z + -- z + 27 27 + + 2 3 2 3 2 49 2 2 245 2 2 + + 14/9 y z + 7/6 x - 20/9 x z + 7/6 y - -- x z + --- x y z + 18 24 + + 175 2 2 2 49 2 2 2 + - --- x y z - 35/8 x y + 25/4 x y - 35/8 x y + -- x y + 35/9 x z + 12 16 + + 2 49 2 2 343 2 2 + + 35/9 y z + 4/9 - -- y z , COEFF(0, -1, 0) = - --- x y z + 18 18 + + 2 2 3 2 2 2 3 2 + - 70/3 x y z - 32/9 z x - 8/3 x + 245/9 x y z + 40/3 z y x + + 2 2 112 3 196 2 3 2 2 2 2 + - 7 x y + --- x z - --- x z - 28/3 z y x + 10 x y + 49/6 x y + 27 27 + + 2 2 3 2 3 2 2 2 + + 28/9 x + 56/9 x z - 140/9 x y z + 98/9 x y z + 49/3 x y z + + 2 2 3 2 3 + - 35/3 x y, COEFF(1, -1, 0) = 70/3 x y z + 100/9 x y z - 70/9 x y z + + 3 2 2 2 2 2 3 2 3 2 + + 28/3 z y x - 49/3 x y z - 40/3 z y x + 32/9 z x - 20/9 x + + 3 28 2 16 3 2 3 2 80 3 + + 20/9 y z + 5/3 y + -- z - -- z - 14/9 y z + 8/3 x - -- x z + 27 27 27 + + 2 2 2 245 2 2 2 2 + - 7/6 y - 56/9 x z + --- x y z - 175/9 x y z - 35/6 x y + 25/3 x y + 18 + + 2 2 2 140 2 2 49 2 2 + - 10 x y + 7 x y + --- x z - 35/9 y z - 4/9 + -- y z , + 27 18 + + 245 2 2 3 2 3 49 3 2 2 + COEFF(2, -1, 0) = - --- x y z - 10/3 x y z + 7/3 x y z - -- z y x + 24 12 + + 343 2 2 2 3 2 3 2 3 + + --- x y z + 35/6 z y x - 14/9 z x + 2/3 x - 5/18 y z - 5/24 y + 48 + + 2 3 2 3 2 3 2 49 2 2 + - 7/54 z + 2/27 z + 7/36 y z - 7/6 x + 8/9 x z + 7/48 y + -- x z + 18 + + 49 2 2 2 2 2 49 2 2 + - -- x y z + 35/6 x y z + 7/4 x y - 5/2 x y + 35/8 x y - -- x y + 12 16 + + 2 35 2 49 2 2 2 + - 14/9 x z + -- y z + 1/18 - --- y z , COEFF(3, -1, 0) = 7/27 x z + 72 144 + + 3 2 2 35 2 3 35 2 2 3 + + 7/12 z y x - -- x y z + 5/9 x y z + -- x y z - 4/27 x z + 36 24 + + 2 3 2 2 2 49 2 2 2 3 + - 7/24 x y + 2/9 z x + 7/16 x y + -- x y z - 7/18 x y z + 72 + + 49 2 2 2 2 2 3 2 2 + - -- x y z - 7/18 x z - 5/6 z y x - 1/9 x - 5/8 x y + 5/12 x y + 48 + + 2 3 2 2 3 2 + + 1/6 x , COEFF(-2, 0, 0) = - 14/9 z y x - 16/9 x y z - 7/6 x y + + 2 2 56 3 2 2 2 14 3 + + 28/9 x y z + -- x y z + 14/9 x y - 7/3 x y z - -- y z + 27 27 + + 3 2 2 2 2 2 98 2 49 2 2 + + 4/3 z y x - 7/18 y + 1/3 y + x y - -- x y z + -- x y z + 27 18 + + 2 49 2 2 2 2 3 112 3 + - 4/3 x y + -- y z - 7/9 y z + 4/9 y z , COEFF(-1, 0, 0) = --- y z + 54 27 + + 2 2 3 2 2 2 2 2 + - 70/3 x y z + 28/9 y - 28/3 z y x + 245/9 x y z - 7 x y + + 2 2 2 2 3 + - 35/3 x y + 49/6 x y + 56/9 y z + 10 x y - 140/9 x y z + + 2 3 2 3 343 2 2 3 2 196 2 + + 40/3 x y z - 32/9 y z - --- x y z + 98/9 z y x - --- y z + 18 27 + + 2 2 2 2 2 2 2 + - 8/3 y + 49/3 x y z , COEFF(0, 0, 0) = - 112/3 x y z + + 2 2 784 3 2 3 3 2 2 + + 392/9 x y z + --- x y z - 224/9 x y z - 224/9 z y x - 56/3 x y + 27 + + 2 2 3 2 2 1372 2 2 + + 16 x y + 64/3 z y x + 196/9 x y - ---- x y z - 56/3 x y + 27 + + 2 2 2 2 + + 392/9 x y z , COEFF(1, 0, 0) = 40/3 x y - 140/9 x y + 8/3 y + + 2 980 2 2 3 2 2 112 3 + + 56/3 x y + --- x y z + 160/9 x y z - 56/9 y z - --- y z + 27 27 + + 2 2 2 3 2 2 2 3 2 2 + + 112/3 x y z - 28/9 y + 224/9 z y x - 280/9 x y z - 64/3 z y x + + 2 3 196 2 560 3 2 2 2 2 + + 32/9 y z + --- y z - --- x y z - 392/9 x y z - 16 x y , + 27 27 + + 49 2 2 2 2 3 14 3 + COEFF(2, 0, 0) = - -- y z - 49/3 x y z + 56/9 x y z + -- y z + 54 27 + + 3 2 2 3 3 2 2 2 2 + - 98/9 z y x - 16/3 x y z + 28/3 z y x + 7/18 y + 7 x y + + 2 2 2 2 2 2 2 + + 7/9 y z - 98/9 x y z - 4 x y - 49/6 x y + 14/3 x y + 28/3 x y z + + 2 2 3 343 2 2 49 2 2 + - 1/3 y - 4/9 y z + --- x y z , COEFF(3, 0, 0) = -- x y z + 7/6 x y + 18 27 + + 28 3 2 2 2 2 2 2 3 3 2 2 + - -- x y z - x y + 7/3 x y z - 7/9 x y + 8/9 x y z - 4/3 z y x + 27 + + 2 49 2 2 3 2 2 2 + + 2/3 x y - -- x y z + 14/9 z y x - 14/9 x y z , COEFF(-2, 1, 0) = + 18 + + 35 2 2 40 3 2 3 3 2 2 2 2 2 + - -- x y z - -- x y z + 16/9 x y z - 4/3 z y x + 7/3 x y z + 18 27 + + 3 2 3 2 10 3 2 3 + + 10/9 z y x + 2/9 z x - 2/9 x + -- y z + 5/18 y - 7/54 z + 2/27 z + 27 + + 2 3 2 3 2 2 2 2 2 + - 4/9 y z + 1/6 x - 8/27 x z - 1/3 y - 7/18 x z - 28/9 x y z + + 70 2 2 2 2 2 14 2 35 2 + + -- x y z + 4/3 x y - 10/9 x y + 5/6 x y - x y + -- x z - -- y z + 27 27 54 + + 2 2 245 2 2 3 + + 1/18 + 7/9 y z , COEFF(-1, 1, 0) = --- x y z + 100/9 x y z + 18 + + 2 3 3 2 2 2 2 2 3 2 3 2 + - 40/3 x y z + 28/3 z y x - 49/3 x y z - 70/9 z y x - 14/9 z x + + 80 3 28 2 16 3 2 3 2 + + 5/3 x - -- y z - 20/9 y + -- z - -- z + 32/9 y z - 7/6 x + 27 27 27 + + 3 2 49 2 2 2 2 2 2 + + 20/9 x z + 8/3 y + -- x z + 70/3 x y z - 175/9 x y z - 10 x y + 18 + + 2 2 2 2 140 2 2 2 + + 25/3 x y - 35/6 x y + 7 x y - 35/9 x z + --- y z - 4/9 - 56/9 y z + 27 + + 3 2 2 2 2 112 3 + , COEFF(0, 1, 0) = 160/9 z y x + 40/3 x y - 280/9 x y z - --- x z + 27 + + 560 3 2 3 2 2 3 2 2 2 + - --- x y z + 8/3 x - 64/3 z y x + 32/9 z x - 16 x y + 27 + + 2 2 2 2 980 2 2 + - 392/9 x y z - 140/9 x y - 56/9 x z + --- x y z + 56/3 x y + 27 + + 2 2 2 196 2 2 3 + + 112/3 x y z + --- x z + 224/9 x y z - 28/9 x, COEFF(1, 1, 0) = + 27 + + 2 2 400 3 2 3 3 2 2 2 2 2 + 280/9 x y z + --- x y z - 160/9 x y z + 64/3 z y x - 112/3 x y z + 27 + + 3 2 3 2 80 3 28 2 16 3 + - 160/9 z y x - 32/9 z x + 20/9 x + -- y z + 20/9 y - -- z + -- z + 27 27 27 + + 2 3 2 80 3 2 2 2 2 2 + - 32/9 y z - 8/3 x + -- x z - 8/3 y + 56/9 x z + 280/9 x y z + 27 + + 700 2 2 2 2 2 140 2 + - --- x y z - 40/3 x y + 100/9 x y - 40/3 x y + 16 x y - --- x z + 27 27 + + 140 2 2 2 245 2 2 + - --- y z + 4/9 + 56/9 y z , COEFF(2, 1, 0) = - --- x y z + 27 18 + + 3 2 3 3 2 2 2 2 2 + - 40/9 x y z + 16/3 x y z - 28/3 z y x + 49/3 x y z + + 3 2 3 2 10 3 2 3 + + 70/9 z y x + 14/9 z x - 2/3 x - -- y z - 5/18 y + 7/54 z - 2/27 z + 27 + + 2 3 2 3 2 49 2 2 2 2 + + 4/9 y z + 7/6 x - 8/9 x z + 1/3 y - -- x z - 28/3 x y z + 18 + + 2 2 2 2 2 2 + + 70/9 x y z + 4 x y - 10/3 x y + 35/6 x y - 7 x y + 14/9 x z + + 35 2 2 2 2 2 + + -- y z - 1/18 - 7/9 y z , COEFF(3, 1, 0) = x y + 1/9 x + 54 + + 3 2 2 2 2 2 2 3 2 2 3 + + 4/3 z y x - 7/3 x y z - 7/27 x z - 2/9 z x - 8/9 x y z + + 35 2 2 2 2 2 3 2 20 3 + + -- x y z + 14/9 x y z - 5/6 x y - 10/9 z y x + -- x y z + 18 27 + + 35 2 3 2 2 2 2 + + 5/9 x y - -- x y z + 4/27 x z + 7/18 x z - 1/6 x - 2/3 x y , + 27 + + 2 2 3 2 3 3 2 2 + COEFF(-2, 2, 0) = 7/12 x y z + 4/9 x y z - 7/9 x y z + 7/12 z y x + + 49 2 2 2 3 2 3 2 3 + - -- x y z - 1/3 z y x - 1/36 z x + 1/36 x - 1/9 y z - 1/12 y + 48 + + 2 3 2 3 2 3 2 + + 7/432 z - 1/108 z + 7/36 y z - 1/48 x + 1/27 x z + 7/48 y + + 2 2 49 2 2 2 2 2 + + 7/144 x z + -- x y z - 7/9 x y z - 7/12 x y + 1/3 x y - 1/4 x y + 36 + + 2 2 2 2 49 2 2 + + 7/16 x y - 7/108 x z + 7/36 y z - 1/144 - --- y z , COEFF(-1, 2, 0) + 144 + + 49 2 2 3 2 3 49 3 2 2 343 2 2 2 + = - -- x y z - 10/3 x y z + 35/6 x y z - -- z y x + --- x y z + 12 12 48 + + 3 2 3 2 3 2 3 + + 7/3 z y x + 7/36 z x - 5/24 x + 8/9 y z + 2/3 y - 7/54 z + 2/27 z + + 2 3 2 3 2 49 2 2 245 2 2 + - 14/9 y z + 7/48 x - 5/18 x z - 7/6 y - --- x z - --- x y z + 144 24 + + 2 2 2 49 2 2 35 2 + + 35/6 x y z + 35/8 x y - 5/2 x y + 7/4 x y - -- x y + -- x z + 16 72 + + 2 49 2 2 2 2 2 + - 14/9 y z + 1/18 + -- y z , COEFF(0, 2, 0) = - 49/6 x y + 7/9 x z + 18 + + 14 3 2 49 2 3 2 + + -- x z - 98/9 x y z - -- x z - 16/3 z y x + 7/18 x + 14/3 x y + 27 54 + + 3 2 2 2 2 2 2 2 2 3 + + 56/9 x y z + 7 x y - 1/3 x - 49/3 x y z - 4 x y - 98/9 x y z + + 3 2 2 343 2 2 2 2 3 2 + + 28/3 z y x + --- x y z + 28/3 x y z - 4/9 z x , COEFF(1, 2, 0) + 18 + + 2 2 3 2 3 3 2 2 + = - 28/3 x y z - 40/9 x y z + 70/9 x y z - 28/3 z y x + + 2 2 2 3 2 3 2 3 + + 49/3 x y z + 16/3 z y x + 4/9 z x - 5/18 x - 8/9 y z - 2/3 y + + 2 3 2 3 2 10 3 2 2 2 + + 7/54 z - 2/27 z + 14/9 y z + 1/3 x - -- x z + 7/6 y - 7/9 x z + 27 + + 245 2 2 2 2 2 2 2 + - --- x y z + 70/9 x y z + 35/6 x y - 10/3 x y + 4 x y - 7 x y + 18 + + 35 2 2 49 2 2 49 2 2 + + -- x z + 14/9 y z - 1/18 - -- y z , COEFF(2, 2, 0) = -- x y z + 54 18 12 + + 3 2 3 49 3 2 2 343 2 2 2 3 2 + + 4/3 x y z - 7/3 x y z + -- z y x - --- x y z - 7/3 z y x + 12 48 + + 3 2 3 2 3 + - 7/36 z x + 1/12 x + 1/9 y z + 1/12 y - 7/432 z + 1/108 z + + 2 3 2 3 2 49 2 2 49 2 2 + - 7/36 y z - 7/48 x + 1/9 x z - 7/48 y + --- x z + -- x y z + 144 12 + + 2 2 2 49 2 2 2 + - 7/3 x y z - 7/4 x y + x y - 7/4 x y + -- x y - 7/36 x z + 16 + + 2 49 2 2 2 3 2 + - 7/36 y z + 1/144 + --- y z , COEFF(3, 2, 0) = 7/24 x y + 1/3 z y x + 144 + + 49 2 2 2 3 3 2 2 2 + - -- x y z + 7/18 x y z - 2/9 x y z + 1/4 x y - 7/16 x y + 72 + + 49 2 2 2 2 2 3 2 2 3 2 + + -- x y z - 7/144 x z - 7/12 z y x - 1/54 x z - 1/72 x + 1/48 x + 48 + + 2 2 3 2 2 2 + + 7/18 x y z + 7/216 x z + 1/36 z x - 1/6 x y - 7/12 x y z , + + 2 3 2 2 2 2 + COEFF(-2, 3, 0) = - 1/36 y z + 1/72 y + 7/48 x y z - 7/216 y z + + 3 2 3 2 2 + + 1/18 z y x - 1/18 x y - 2/27 x y z + 1/24 x y + 7/54 x y z + + 2 2 3 2 2 3 2 2 + - 1/48 y + 1/12 x y - 1/12 z y x + 1/54 y z - 7/36 x y z + + 2 3 2 2 2 2 2 2 + + 1/9 x y z - 1/16 x y + 7/144 y z - 7/72 x y z , COEFF(-1, 3, 0) + + 2 2 49 2 2 2 3 2 2 2 + = - 7/24 x y + 1/6 y - -- x y z - 7/18 z y x + 7/16 x y + 48 + + 3 2 2 2 3 35 2 2 2 + + 5/9 x y z - 7/18 y z + 2/9 y z + -- x y z - 5/8 x y + 5/12 x y + 24 + + 49 2 2 2 3 3 2 2 3 2 + + -- x y z - 5/6 x y z + 7/12 z y x - 1/9 y - 4/27 y z + 7/27 y z + 72 + + 35 2 2 3 2 2 28 3 + - -- x y z , COEFF(0, 3, 0) = 14/9 x y z - 14/9 x y z - -- x y z + 36 27 + + 2 2 3 2 2 2 49 2 2 2 2 2 + - x y + 8/9 z y x + 7/6 x y + 2/3 x y - -- x y z + 7/3 x y z + 18 + + 3 2 2 49 2 2 2 + - 4/3 z y x - 7/9 x y + -- x y z , COEFF(1, 3, 0) = 7/18 y z + 27 + + 2 2 3 20 3 2 2 2 3 2 + - 5/6 x y - 2/9 y z + -- x y z - 7/3 x y z - 8/9 z y x + 1/9 y + 27 + + 2 3 2 2 35 2 2 35 2 + + 5/9 x y - 10/9 x y z - 2/3 x y - 1/6 y + -- x y z - -- x y z + 18 27 + + 3 2 2 2 3 2 2 2 2 + + 4/27 y z + 14/9 x y z - 7/27 y z + 4/3 z y x + x y , + + 2 3 2 2 + COEFF(2, 3, 0) = - 1/6 x y - 1/72 y + 1/3 x y z - 7/144 y z + + 2 2 2 2 49 2 2 2 2 + - 7/12 x y z + 7/18 x y z + 1/4 x y + -- x y z + 7/216 y z + 48 + + 2 49 2 2 3 3 2 2 2 2 + + 7/24 x y - -- x y z - 1/54 y z - 7/12 z y x - 7/16 x y + 72 + + 2 3 3 3 2 2 + + 1/36 y z - 2/9 x y z + 7/18 z y x + 1/48 y , COEFF(3, 3, 0) = + + 2 2 2 2 2 3 2 + 1/36 x y - 7/108 x y z - 7/48 x y z - 1/18 x y z - 1/24 x y + + 3 2 2 2 2 2 2 3 + - 1/18 z y x + 1/16 x y + 7/72 x y z - 1/24 x y + 1/27 x y z + + 2 2 3 2 2 2 2 + + 7/72 x y z + 1/12 z y x , COEFF(-2, -2, 1) = - 5/36 x y z + + 3 2 2 3 2 3 2 2 + - 4/27 x y z - 1/18 x y z + 1/9 x y z + 1/72 y z - 1/12 z y x + + 2 2 2 2 2 3 2 3 2 + + 1/24 x y z + 5/48 x y z + 1/9 z y x - 1/36 z x - 1/54 x z + + 3 2 3 2 3 + + 1/27 y z - 1/54 y z + 1/216 z + 5/432 z - 1/108 z - 1/36 y z + + 3 2 2 2 2 2 + + 1/27 x z + 5/144 x z - 5/36 x y z + 1/72 x z + 2/27 x y z + + 2 2 2 2 2 2 + - 1/18 x y z + 5/27 x y z - 5/108 x z - 5/108 y z + 5/144 y z , + + 35 2 2 3 2 2 3 + COEFF(-1, -2, 1) = -- x y z + 10/9 x y z + 7/18 x y z - 5/6 x y z + 36 + + 2 3 2 2 2 2 35 2 2 2 3 2 + - 1/9 y z + 7/12 z y x - 7/24 x y z - -- x y z - 7/9 z y x + 48 + + 3 2 3 2 + + 7/36 z x + 5/36 x z - 8/27 y z + 4/27 y z - 1/27 z - 5/54 z + + 3 2 3 3 35 2 2 25 2 2 2 + + 2/27 z + 2/9 y z - 5/18 x z - --- x z + -- x y z - 7/72 x z + 144 24 + + 2 25 2 25 2 10 2 2 2 + - 5/9 x y z + 5/12 x y z - -- x y z + -- x z + -- y z - 5/18 y z , + 18 72 27 + + 2 2 3 56 3 2 2 + COEFF(0, -2, 1) = - 7/9 x y z + 14/9 x y z - -- x y z + 2/3 x y z + 27 + + 2 2 35 2 3 2 2 35 2 2 3 2 + - 20/9 x y z - -- x z - 4/3 z y x - -- x y z + 16/9 z y x + 54 18 + + 70 2 2 28 14 3 2 + + -- x y z + 2/9 x z + -- x y z - 7/27 x z + -- x z - 8/9 x y z + 27 27 27 + + 2 2 2 3 2 2 2 2 2 + + 5/3 x y z - 4/9 z x + 5/9 x z , COEFF(1, -2, 1) = 20/9 x y z + + 40 3 2 2 3 2 3 2 2 + + -- x y z + 8/9 x y z - 10/9 x y z + 1/9 y z + 4/3 z y x + 27 + + 2 2 2 2 2 3 2 3 2 + - 2/3 x y z - 5/3 x y z - 16/9 z y x + 4/9 z x + 5/27 x z + + 3 2 3 2 3 10 3 + + 8/27 y z - 4/27 y z + 1/27 z + 5/54 z - 2/27 z - 2/9 y z - -- x z + 27 + + 2 2 25 2 2 2 20 2 50 2 + - 5/9 x z + -- x y z - 2/9 x z - -- x y z + 5/9 x y z - -- x y z + 18 27 27 + + 25 2 10 2 2 2 35 2 2 + + -- x z - -- y z + 5/18 y z , COEFF(2, -2, 1) = - -- x y z + 54 27 36 + + 3 2 2 3 2 3 2 2 + - 4/9 x y z - 7/18 x y z + 1/3 x y z - 1/72 y z - 7/12 z y x + + 2 2 35 2 2 2 3 2 3 2 + + 7/24 x y z + -- x y z + 7/9 z y x - 7/36 z x - 1/18 x z + 48 + + 3 2 3 2 3 + - 1/27 y z + 1/54 y z - 1/216 z - 5/432 z + 1/108 z + 1/36 y z + + 3 35 2 2 2 2 2 2 + + 1/9 x z + --- x z - 5/12 x y z + 7/72 x z + 2/9 x y z - 1/6 x y z + 144 + + 2 2 2 2 2 + + 5/9 x y z - 5/36 x z + 5/108 y z - 5/144 y z , COEFF(3, -2, 1) = + + 2 2 3 3 2 2 + 1/36 x y z - 5/54 x y z + 2/27 x y z - 1/9 z y x + 5/216 x z + + 2 2 2 2 2 3 3 + + 5/72 x y z - 1/24 x y z + 1/108 x z - 1/18 x y z - 1/54 x z + + 3 2 2 2 2 2 2 + + 1/36 z x - 5/144 x z - 1/72 x z + 5/36 x y z - 1/27 x y z + + 2 3 2 2 2 2 2 + + 1/18 x y z + 1/12 z y x - 5/48 x y z , COEFF(-2, -1, 1) = + + 25 2 2 3 2 2 3 2 + -- x y z + 10/9 x y z + 5/12 x y z - 7/9 x y z - 7/72 y z + 24 + + 3 2 2 2 2 35 2 2 2 3 2 3 2 + + 7/12 z y x - 7/24 x y z - -- x y z - 5/6 z y x + 2/9 z x + 48 + + 3 2 3 + + 4/27 x z - 5/18 y z + 5/36 y z - 1/27 z - 5/54 z + 2/27 z + + 2 3 3 2 2 35 2 2 2 + + 7/36 y z - 8/27 x z - 5/18 x z + -- x y z - 1/9 x z - 5/9 x y z + 36 + + 2 25 2 10 2 25 2 35 2 2 + + 7/18 x y z - -- x y z + -- x z + -- y z - --- y z , + 18 27 72 144 + + 175 2 2 3 35 2 2 3 + COEFF(-1, -1, 1) = - --- x y z - 25/3 x y z - -- x y z + 35/6 x y z + 24 12 + + 2 49 3 2 2 49 2 2 245 2 2 2 3 2 + + 7/9 y z - -- z y x + -- x y z + --- x y z + 35/6 z y x + 12 24 48 + + 3 2 3 20 2 16 3 + - 14/9 z x - 10/9 x z + 20/9 y z - 10/9 y z + 8/27 z + -- z - -- z + 27 27 + + 2 3 3 35 2 2 175 2 2 2 + - 14/9 y z + 20/9 x z + -- x z - --- x y z + 7/9 x z + 25/6 x y z + 18 24 + + 35 2 125 2 2 2 35 2 2 + - -- x y z + --- x y z - 25/9 x z - 25/9 y z + -- y z , + 12 12 18 + + 2 3 2 2 2 2 + COEFF(0, -1, 1) = - 70/9 x y z + 20/3 x y z + 28/3 z y x - 14/3 x y z + + 3 2 2 2 3 245 2 2 + - 40/3 z y x + 49/9 x y z - 175/9 x y z + 140/9 x y z + --- x y z + 18 + + 2 2 2 2 2 2 2 3 140 2 + - 40/9 x z - 35/3 x y z - 16/9 x z - 98/9 x y z + --- x z + 27 + + 112 3 3 2 56 2 2 + - --- x z + 32/9 z x + -- x z + 50/3 x y z , COEFF(1, -1, 1) = + 27 27 + + 2 2 3 2 2 3 2 + - 50/3 x y z - 100/9 x y z - 20/3 x y z + 70/9 x y z - 7/9 y z + + 3 2 2 2 2 2 2 2 3 2 3 2 + - 28/3 z y x + 14/3 x y z + 35/3 x y z + 40/3 z y x - 32/9 z x + + 40 3 20 2 16 3 2 3 + - -- x z - 20/9 y z + 10/9 y z - 8/27 z - -- z + -- z + 14/9 y z + 27 27 27 + + 80 3 2 2 175 2 2 2 + + -- x z + 40/9 x z - --- x y z + 16/9 x z + 50/9 x y z + 27 18 + + 2 2 100 2 2 35 2 2 + - 35/9 x y z + 125/9 x y z - --- x z + 25/9 y z - -- y z , + 27 18 + + 175 2 2 3 35 2 2 3 + COEFF(2, -1, 1) = --- x y z + 10/3 x y z + -- x y z - 7/3 x y z + 24 12 + + 2 49 3 2 2 49 2 2 245 2 2 2 3 2 + + 7/72 y z + -- z y x - -- x y z - --- x y z - 35/6 z y x + 12 24 48 + + 3 2 3 2 3 + + 14/9 z x + 4/9 x z + 5/18 y z - 5/36 y z + 1/27 z + 5/54 z - 2/27 z + + 2 3 3 35 2 2 35 2 2 2 + - 7/36 y z - 8/9 x z - -- x z + -- x y z - 7/9 x z - 5/3 x y z + 18 12 + + 2 2 2 25 2 35 2 2 + + 7/6 x y z - 25/6 x y z + 10/9 x z - -- y z + --- y z , + 72 144 + + 3 2 3 2 2 + COEFF(3, -1, 1) = 5/18 x y z + 4/27 x z - 5/12 x y z - 7/12 z y x + + 35 2 2 2 3 3 2 2 3 + + -- x y z - 5/9 x y z - 2/27 x z - 2/9 z x + 7/18 x y z + 48 + + 2 2 2 25 2 2 35 2 2 2 2 + + 7/24 x y z - 5/27 x z - -- x y z - -- x y z + 5/18 x z + 24 72 + + 2 2 3 2 25 2 + - 7/36 x y z + 1/9 x z + 5/6 z y x + -- x y z , COEFF(-2, 0, 1) = + 36 + + 70 2 35 2 2 2 3 2 56 3 + -- x y z - -- x y z - 4/9 y z - 7/27 y z - 8/9 x y z - -- x y z + 27 18 27 + + 3 2 3 2 2 2 14 3 2 2 + + 14/9 z y x - 4/3 z y x - 7/9 x y z + -- y z + 5/9 y z + 27 + + 28 2 2 2 2 2 35 2 2 3 + + -- x y z + 5/3 x y z - 20/9 x y z - -- y z + 16/9 x y z + 27 54 + + 2 2 2 2 3 56 + + 2/3 x y z + 2/9 y z, COEFF(-1, 0, 1) = - 40/3 x y z + -- y z + 27 + + 2 2 2 2 2 2 2 2 2 2 + - 35/3 x y z - 14/3 x y z + 20/3 x y z - 40/9 y z + 50/3 x y z + + 112 3 2 3 2 3 2 + - --- y z + 32/9 y z - 70/9 x y z - 175/9 x y z - 98/9 z y x + 27 + + 2 245 2 2 3 2 2 2 3 + - 16/9 y z + --- x y z + 28/3 z y x + 49/9 x y z + 140/9 x y z + 18 + + 140 2 3 2 2 2 3 + + --- y z , COEFF(0, 0, 1) = - 64/3 z y x + 224/9 x y z + 27 + + 2 2 2 2 2 2 + - 112/9 x y z - 280/9 x y z - 112/9 x y z + 32/3 x y z + + 3 2 784 3 980 2 2 2 392 + + 224/9 z y x - --- x y z + --- x y z - 280/9 x y z + --- x y z + 27 27 27 + + 2 2 2 2 2 140 2 2 2 + + 80/3 x y z , COEFF(1, 0, 1) = 280/9 x y z - --- y z - 32/3 x y z + 27 + + 280 700 2 3 2 2 2 560 3 + - --- x y z - --- x y z - 224/9 z y x + 200/9 x y z + --- x y z + 27 27 27 + + 2 2 2 3 3 2 2 2 + + 16/9 y z + 112/9 x y z - 32/9 y z + 64/3 z y x + 80/9 x y z + + 2 3 56 2 2 2 112 3 2 2 + - 160/9 x y z - -- y z - 80/3 x y z + --- y z + 40/9 y z , + 27 27 + + 2 2 2 14 3 + COEFF(2, 0, 1) = 14/3 x y z - 49/9 x y z + 7/27 y z - -- y z + 27 + + 245 2 2 2 2 2 3 2 + + 28/9 x y z - --- x y z - 20/3 x y z + 70/9 x y z + 98/9 z y x + 18 + + 35 2 2 2 2 2 3 2 3 + + -- y z - 8/3 x y z - 5/9 y z + 4/9 y z + 16/3 x y z + 54 + + 3 2 2 2 3 2 2 2 + - 28/3 z y x - 2/9 y z - 56/9 x y z + 35/3 x y z , COEFF(3, 0, 1) + + 28 3 2 3 2 2 2 2 2 + = -- x y z + 7/9 x y z + 4/3 z y x + 4/9 x y z + 10/9 x y z + 27 + + 14 2 3 2 2 2 2 2 3 2 + - -- x y z - 8/9 x y z - 2/3 x y z - 5/3 x y z - 14/9 z y x + 27 + + 35 2 2 35 2 25 2 2 40 3 + + -- x y z - -- x y z , COEFF(-2, 1, 1) = -- x y z + -- x y z + 18 27 18 27 + + 2 2 3 2 3 2 2 2 2 + + 5/9 x y z - 16/9 x y z - 2/9 y z + 4/3 z y x - 2/3 x y z + + 2 2 2 3 2 3 2 10 3 + - 5/3 x y z - 10/9 z y x - 2/9 z x - 4/27 x z - -- y z + 5/27 y z + 27 + + 2 3 2 3 3 2 2 + + 1/27 z + 5/54 z - 2/27 z + 4/9 y z + 8/27 x z + 5/18 x z + + 2 2 2 20 2 50 2 10 2 + + 20/9 x y z + 1/9 x z - -- x y z + 8/9 x y z - -- x y z - -- x z + 27 27 27 + + 25 2 2 2 175 2 2 3 + + -- y z - 5/9 y z , COEFF(-1, 1, 1) = - --- x y z - 100/9 x y z + 54 18 + + 2 2 3 2 3 2 2 2 2 + - 35/9 x y z + 40/3 x y z + 16/9 y z - 28/3 z y x + 14/3 x y z + + 2 2 2 3 2 3 2 80 3 40 + + 35/3 x y z + 70/9 z y x + 14/9 z x + 10/9 x z + -- y z - -- y z + 27 27 + + 20 2 16 3 2 3 3 35 2 2 + - 8/27 z - -- z + -- z - 32/9 y z - 20/9 x z - -- x z + 27 27 18 + + 2 2 2 2 2 + - 50/3 x y z - 7/9 x z + 50/9 x y z - 20/3 x y z + 125/9 x y z + + 2 100 2 2 2 280 + + 25/9 x z - --- y z + 40/9 y z , COEFF(0, 1, 1) = - --- x y z + 27 27 + + 112 3 2 2 2 3 2 2 2 2 + + --- x z - 80/3 x y z - 32/9 z x + 112/9 x y z + 280/9 x y z + 27 + + 56 2 2 2 3 2 2 2 3 + - -- x z + 200/9 x y z + 80/9 x y z + 64/3 z y x - 224/9 x y z + 27 + + 2 3 2 2 2 140 2 560 3 + + 16/9 x z - 160/9 z y x - 32/3 x y z - --- x z + --- x y z + 27 27 + + 2 2 700 2 2 2 400 3 + + 40/9 x z - --- x y z , COEFF(1, 1, 1) = - 200/9 x y z - --- x y z + 27 27 + + 2 2 3 2 3 2 2 2 2 + - 80/9 x y z + 160/9 x y z - 16/9 y z - 64/3 z y x + 32/3 x y z + + 2 2 2 3 2 3 2 40 80 3 40 + + 80/3 x y z + 160/9 z y x + 32/9 z x + -- x z - -- y z + -- y z + 27 27 27 + + 20 2 16 3 2 3 80 3 2 2 + + 8/27 z + -- z - -- z + 32/9 y z - -- x z - 40/9 x z + 27 27 27 + + 2 2 2 200 2 500 2 + - 200/9 x y z - 16/9 x z + --- x y z - 80/9 x y z + --- x y z + 27 27 + + 100 2 100 2 2 2 175 2 2 + + --- x z + --- y z - 40/9 y z , COEFF(2, 1, 1) = --- x y z + 27 27 18 + + 3 2 2 3 2 3 2 2 + + 40/9 x y z + 35/9 x y z - 16/3 x y z + 2/9 y z + 28/3 z y x + + 2 2 2 2 2 3 2 3 2 + - 14/3 x y z - 35/3 x y z - 70/9 z y x - 14/9 z x - 4/9 x z + + 10 3 2 3 2 3 3 + + -- y z - 5/27 y z - 1/27 z - 5/54 z + 2/27 z - 4/9 y z + 8/9 x z + 27 + + 35 2 2 2 2 2 2 + + -- x z + 20/3 x y z + 7/9 x z - 20/9 x y z + 8/3 x y z + 18 + + 2 2 25 2 2 2 + - 50/9 x y z - 10/9 x z - -- y z + 5/9 y z , COEFF(3, 1, 1) = + 54 + + 2 2 25 2 2 3 2 25 2 2 + - 10/9 x y z + -- x y z + 8/9 x y z - 5/9 x y z - -- x y z + 27 18 + + 2 3 2 2 2 2 2 3 2 2 + + 5/27 x z + 2/9 z x - 4/9 x y z + 5/3 x y z - 4/3 z y x + + 20 3 3 10 2 2 2 + - -- x y z - 4/27 x z + -- x y z - 5/18 x z - 1/9 x z + 2/27 x z + 27 27 + + 2 2 3 2 2 2 + + 2/3 x y z + 10/9 z y x , COEFF(-2, 2, 1) = - 5/12 x y z + + 3 2 2 3 2 3 2 2 + - 4/9 x y z - 1/6 x y z + 7/9 x y z + 7/72 y z - 7/12 z y x + + 2 2 35 2 2 2 3 2 3 2 + + 7/24 x y z + -- x y z + 1/3 z y x + 1/36 z x + 1/54 x z + 48 + + 3 2 3 2 3 + + 1/9 y z - 1/18 y z - 1/216 z - 5/432 z + 1/108 z - 7/36 y z + + 3 2 2 35 2 2 2 + - 1/27 x z - 5/144 x z - -- x y z - 1/72 x z + 2/9 x y z + 36 + + 2 2 2 2 35 2 2 + - 7/18 x y z + 5/9 x y z + 5/108 x z - 5/36 y z + --- y z , + 144 + + 35 2 2 3 2 2 3 + COEFF(-1, 2, 1) = -- x y z + 10/3 x y z + 7/6 x y z - 35/6 x y z + 12 + + 2 49 3 2 2 49 2 2 245 2 2 2 3 2 + - 7/9 y z + -- z y x - -- x y z - --- x y z - 7/3 z y x + 12 24 48 + + 3 2 3 2 3 + - 7/36 z x - 5/36 x z - 8/9 y z + 4/9 y z + 1/27 z + 5/54 z - 2/27 z + + 2 3 3 35 2 2 175 2 2 2 + + 14/9 y z + 5/18 x z + --- x z + --- x y z + 7/72 x z - 5/3 x y z + 144 24 + + 35 2 2 25 2 2 35 2 2 + + -- x y z - 25/6 x y z - -- x z + 10/9 y z - -- y z , COEFF(0, 2, 1) + 12 72 18 + + 2 2 3 2 2 2 2 2 2 2 + = 28/9 x y z - 20/3 x y z - 28/3 z y x + 35/3 x y z - 5/9 x z + + 2 2 14 3 35 2 3 2 3 + + 14/3 x y z - -- x z + -- x z + 4/9 z x - 56/9 x y z + 27 54 + + 2 3 2 2 3 2 2 + + 98/9 x y z + 70/9 x y z - 2/9 x z + 16/3 z y x - 8/3 x y z + + 2 245 2 2 2 2 + - 49/9 x y z + 7/27 x z - --- x y z , COEFF(1, 2, 1) = 20/3 x y z + 18 + + 3 2 2 3 2 3 2 2 + + 40/9 x y z + 8/3 x y z - 70/9 x y z + 7/9 y z + 28/3 z y x + + 2 2 2 2 2 3 2 3 2 + - 14/3 x y z - 35/3 x y z - 16/3 z y x - 4/9 z x - 5/27 x z + + 3 2 3 2 3 10 3 + + 8/9 y z - 4/9 y z - 1/27 z - 5/54 z + 2/27 z - 14/9 y z + -- x z + 27 + + 2 2 175 2 2 2 2 + + 5/9 x z + --- x y z + 2/9 x z - 20/9 x y z + 35/9 x y z + 18 + + 2 25 2 2 35 2 2 + - 50/9 x y z - -- x z - 10/9 y z + -- y z , COEFF(2, 2, 1) = + 54 18 + + 35 2 2 3 2 2 3 2 + - -- x y z - 4/3 x y z - 7/6 x y z + 7/3 x y z - 7/72 y z + 12 + + 49 3 2 2 49 2 2 245 2 2 2 3 2 3 2 + - -- z y x + -- x y z + --- x y z + 7/3 z y x + 7/36 z x + 12 24 48 + + 3 2 3 + + 1/18 x z - 1/9 y z + 1/18 y z + 1/216 z + 5/432 z - 1/108 z + + 2 3 3 35 2 2 35 2 2 2 + + 7/36 y z - 1/9 x z - --- x z - -- x y z - 7/72 x z + 2/3 x y z + 144 12 + + 2 2 2 2 35 2 2 + - 7/6 x y z + 5/3 x y z + 5/36 x z + 5/36 y z - --- y z , + 144 + + 2 35 2 2 35 2 2 2 + COEFF(3, 2, 1) = - 5/216 x z + -- x y z - -- x y z - 1/9 x y z + 72 48 + + 2 2 2 3 2 2 + + 5/12 x y z - 7/18 x y z + 7/36 x y z - 1/108 x z + 1/72 x z + + 3 3 2 3 2 3 2 + + 2/9 x y z - 1/3 z y x + 1/54 x z + 1/6 x y z - 1/36 z x + + 2 2 3 2 2 2 2 2 + + 5/144 x z + 7/12 z y x - 7/24 x y z - 5/18 x y z , + + 2 2 2 2 + COEFF(-2, 3, 1) = - 5/54 x y z + 1/108 y z + 5/36 x y z + 5/216 y z + + 2 3 2 2 2 2 3 + - 1/72 y z - 1/54 y z + 1/18 x y z + 5/72 x y z - 1/9 x y z + + 3 2 2 3 2 2 2 + + 2/27 x y z - 1/24 x y z + 1/12 z y x + 1/36 x y z - 1/27 x y z + + 3 2 2 2 2 2 3 2 2 + - 1/18 z y x - 5/48 x y z + 1/36 y z - 5/144 y z , COEFF(-1, 3, 1) + + 25 2 2 3 3 2 35 2 2 2 3 + = - -- x y z + 4/27 y z + 7/18 z y x - -- x y z + 5/6 x y z + 24 72 + + 35 2 2 2 2 25 2 2 2 3 + + -- x y z - 7/36 x y z + -- x y z - 5/27 y z - 2/9 y z + 48 36 + + 2 2 3 3 2 2 + + 7/24 x y z + 5/18 x y z - 5/9 x y z - 2/27 y z - 7/12 z y x + + 2 2 2 2 2 + + 5/18 y z + 1/9 y z - 5/12 x y z, COEFF(0, 3, 1) = 7/9 x y z + + 28 3 2 2 2 2 3 2 2 35 2 + + -- x y z + 4/9 x y z - 5/3 x y z + 4/3 z y x - -- x y z + 27 27 + + 3 2 14 2 2 2 2 35 2 2 + - 8/9 z y x - -- x y z + 10/9 x y z - 2/3 x y z + -- x y z + 27 18 + + 2 3 3 2 2 2 + - 14/9 x y z , COEFF(1, 3, 1) = - 4/27 y z + 2/3 x y z - 4/9 x y z + + 2 2 2 3 2 2 2 2 + - 10/9 x y z + 2/9 y z + 2/27 y z - 5/9 x y z + 5/3 x y z + + 10 2 25 2 3 2 2 25 2 2 + + -- x y z - 1/9 y z + -- x y z + 8/9 z y x + 5/27 y z - -- x y z + 27 27 18 + + 2 3 3 2 2 2 2 20 3 + + 10/9 x y z - 4/3 z y x - 5/18 y z - -- x y z , COEFF(2, 3, 1) = + 27 + + 3 35 2 2 2 3 2 2 2 + 2/9 x y z + -- x y z + 1/72 y z - 7/18 z y x + 5/12 x y z + 72 + + 2 3 3 2 2 + - 1/9 x y z - 1/108 y z - 1/3 x y z + 1/54 y z + 5/144 y z + + 2 2 2 2 2 3 2 + + 1/6 x y z + 7/36 x y z - 7/24 x y z - 1/36 y z - 5/216 y z + + 2 35 2 2 2 3 2 2 + - 5/18 x y z - -- x y z + 7/12 z y x , COEFF(3, 3, 1) = + 48 + + 2 3 2 2 2 2 3 2 + - 1/36 x y z - 1/12 z y x + 1/24 x y z - 1/27 x y z + 5/108 x y z + + 2 2 2 2 2 2 2 2 3 + + 5/48 x y z - 5/72 x y z - 5/72 x y z + 1/18 x y z + 1/54 x y z + + 3 2 2 2 2 + + 1/18 z y x - 1/36 x y z, COEFF(-2, -2, 2) = 1/24 x y z + + 3 2 2 3 2 + + 7/108 x y z + 1/144 x y z - 7/144 x y z - 1/576 y z + + 3 2 2 2 2 2 2 2 3 2 + + 7/192 z y x - 1/192 x y z - 1/32 x y z - 7/144 z y x + + 3 2 3 2 + + 7/576 z x + 1/432 x z - 7/432 y z + 1/432 y z - 1/1728 z - 1/288 z + + 3 2 3 3 2 2 2 2 + + 7/1728 z + 7/576 y z - 7/432 x z - 1/96 x z + 1/24 x y z + + 2 2 2 2 + - 1/576 x z - 1/108 x y z + 1/144 x y z - 1/18 x y z + 1/72 x z + + 2 2 2 2 2 35 3 + + 1/72 y z - 1/96 y z , COEFF(-1, -2, 2) = - 7/24 x y z - -- x y z + 72 + + 2 35 2 3 2 49 3 2 2 2 2 + - 7/144 x y z + -- x y z + 1/72 y z - --- z y x + 7/192 x y z + 96 192 + + 2 2 2 49 3 2 49 3 2 3 + + 7/32 x y z + --- z y x - --- z x - 5/288 x z + 7/54 y z + 144 576 + + 2 3 2 3 35 3 + - 1/54 y z + 1/216 z + 1/36 z - 7/216 z - 7/72 y z + --- x z + 288 + + 2 2 2 2 2 2 + + 7/96 x z - 5/16 x y z + 7/576 x z + 5/72 x y z - 5/96 x y z + + 2 2 2 2 2 + + 5/12 x y z - 5/48 x z - 1/9 y z + 1/12 y z , COEFF(0, -2, 2) = + + 2 2 2 2 2 49 3 3 2 + - 1/2 x y z - 7/54 x y z - 1/12 x y z + -- x y z - 7/9 z y x + 54 + + 49 2 3 2 2 2 2 2 3 2 2 + - -- x y z - 1/6 x z + 1/9 x y z + 7/12 x y z + 7/12 z y x + 72 + + 2 2 2 2 2 + - 7/9 x y z - 1/36 x z + 7/72 x y z + 7/216 x z + 2/3 x y z + + 49 3 3 2 2 2 2 + - --- x z + 7/36 z x + 7/36 x z , COEFF(1, -2, 2) = - 2/3 x y z + 216 + + 35 3 2 35 2 3 2 3 2 2 + - -- x y z - 1/9 x y z + -- x y z - 1/72 y z - 7/12 z y x + 54 72 + + 2 2 2 2 2 3 2 3 2 + + 1/12 x y z + 1/2 x y z + 7/9 z y x - 7/36 z x - 5/216 x z + + 3 2 3 2 3 + - 7/54 y z + 1/54 y z - 1/216 z - 1/36 z + 7/216 z + 7/72 y z + + 35 3 2 2 2 2 2 + + --- x z + 1/6 x z - 5/12 x y z + 1/36 x z + 5/54 x y z + 216 + + 2 2 2 2 2 2 + - 5/72 x y z + 5/9 x y z - 5/36 x z + 1/9 y z - 1/12 y z , + + 2 2 3 2 2 3 + COEFF(2, -2, 2) = 7/24 x y z + 7/36 x y z + 7/144 x y z - 7/48 x y z + + 2 49 3 2 2 2 2 2 2 2 49 3 2 + + 1/576 y z + --- z y x - 7/192 x y z - 7/32 x y z - --- z y x + 192 144 + + 49 3 2 3 2 + + --- z x + 1/144 x z + 7/432 y z - 1/432 y z + 1/1728 z + 1/288 z + 576 + + 3 2 3 3 2 2 2 2 + - 7/1728 z - 7/576 y z - 7/144 x z - 7/96 x z + 1/8 x y z + + 2 2 2 2 + - 7/576 x z - 1/36 x y z + 1/48 x y z - 1/6 x y z + 1/24 x z + + 2 2 2 2 2 2 + - 1/72 y z + 1/96 y z , COEFF(3, -2, 2) = - 1/144 x z + 1/96 x z + + 3 2 3 2 2 + - 1/864 x z + 7/144 z y x + 7/864 x z - 1/288 x y z - 1/144 x y z + + 2 3 2 2 2 3 + + 1/216 x y z + 7/288 x y z + 1/576 x z - 1/48 x y z - 7/216 x y z + + 3 2 2 2 2 3 2 2 2 + - 7/576 z x + 1/32 x y z - 7/192 z y x + 1/36 x y z + + 2 2 2 2 2 2 + + 1/192 x y z - 1/24 x y z , COEFF(-2, -1, 2) = - 5/16 x y z + + 35 3 2 49 2 3 2 49 3 2 2 + - -- x y z - 5/96 x y z + --- x y z + 7/576 y z - --- z y x + 72 144 192 + + 2 2 2 2 2 35 3 2 3 2 + + 7/192 x y z + 7/32 x y z + -- z y x - 7/72 z x - 1/54 x z + 96 + + 35 3 2 3 49 2 3 + + --- y z - 5/288 y z + 1/216 z + 1/36 z - 7/216 z - --- y z + 288 576 + + 3 2 2 2 2 2 + + 7/54 x z + 1/12 x z - 7/24 x y z + 1/72 x z + 5/72 x y z + + 2 2 2 2 2 2 + - 7/144 x y z + 5/12 x y z - 1/9 x z - 5/48 y z + 7/96 y z , + + 35 2 2 175 3 35 2 245 2 3 + COEFF(-1, -1, 2) = -- x y z + --- x y z + -- x y z - --- x y z + 16 48 96 96 + + 2 343 3 2 2 49 2 2 49 2 2 2 245 3 2 + - 7/72 y z + --- z y x - --- x y z - -- x y z - --- z y x + 192 192 32 96 + + 49 3 2 35 3 2 3 + + -- z x + 5/36 x z - -- y z + 5/36 y z - 1/27 z - 2/9 z + 7/27 z + 72 36 + + 49 2 3 35 3 2 2 35 2 2 2 25 + + -- y z - -- x z - 7/12 x z + -- x y z - 7/72 x z - -- x y z + 72 36 16 48 + + 35 2 2 2 2 2 2 + + -- x y z - 25/8 x y z + 5/6 x z + 5/6 y z - 7/12 y z , + 96 + + 2 2 2 49 2 49 2 2 + COEFF(0, -1, 2) = 35/6 x y z - 5 x y z - -- x y z - -- x y z + 72 12 + + 2 2 2 35 245 3 3 2 + - 7/27 x z - 14/9 x z + 7/12 x y z + -- x y z - --- x y z - 14/9 z x + 36 36 + + 3 2 2 2 2 2 2 2 2 + + 35/6 z y x - 5/6 x y z + 7/2 x y z + 4/3 x z + 2/9 x z + + 343 2 3 49 3 2 2 49 3 2 2 + + --- x y z - -- z y x + -- x z , COEFF(1, -1, 2) = 5 x y z + 72 12 27 + + 175 3 2 245 2 3 2 49 3 2 2 + + --- x y z + 5/6 x y z - --- x y z + 7/72 y z + -- z y x + 36 72 12 + + 2 2 2 2 2 3 2 3 2 + - 7/12 x y z - 7/2 x y z - 35/6 z y x + 14/9 z x + 5/27 x z + + 35 3 2 3 49 2 3 35 3 + + -- y z - 5/36 y z + 1/27 z + 2/9 z - 7/27 z - -- y z - -- x z + 36 72 27 + + 2 2 35 2 2 2 25 35 2 2 + - 4/3 x z + -- x y z - 2/9 x z - -- x y z + -- x y z - 25/6 x y z + 12 36 72 + + 2 2 2 2 35 2 2 + + 10/9 x z - 5/6 y z + 7/12 y z , COEFF(2, -1, 2) = - -- x y z + 16 + + 35 3 35 2 49 2 3 2 343 3 2 2 + - -- x y z - -- x y z + -- x y z - 7/576 y z - --- z y x + 24 96 48 192 + + 49 2 2 49 2 2 2 245 3 2 49 3 2 35 3 + + --- x y z + -- x y z + --- z y x - -- z x - 1/18 x z - --- y z + 192 32 96 72 288 + + 2 3 49 2 3 3 + + 5/288 y z - 1/216 z - 1/36 z + 7/216 z + --- y z + 7/18 x z + 576 + + 2 2 2 2 2 2 + + 7/12 x z - 7/8 x y z + 7/72 x z + 5/24 x y z - 7/48 x y z + + 2 2 2 2 2 + + 5/4 x y z - 1/3 x z + 5/48 y z - 7/96 y z , COEFF(3, -1, 2) = + + 3 49 2 3 3 2 49 3 2 2 35 3 + - 7/108 x z - --- x y z + 7/72 z x + --- z y x + --- x y z + 288 192 144 + + 2 2 2 2 2 2 2 + + 5/96 x y z + 1/108 x z - 1/12 x z + 7/288 x y z - 7/32 x y z + + 2 35 3 2 2 2 2 2 2 + - 1/72 x z - -- z y x + 7/48 x y z + 1/18 x z + 5/16 x y z + 96 + + 2 2 2 + - 5/144 x y z - 5/24 x y z - 7/192 x y z, COEFF(-2, 0, 2) = + + 2 2 2 49 3 2 2 2 + - 1/12 x y z + 1/9 x y z - --- y z - 1/6 y z - 7/9 x y z + 216 + + 2 3 2 3 2 3 2 2 + + 7/36 y z - 7/9 x y z + 7/72 x y z + 7/12 z y x + 7/216 y z + + 2 2 49 3 2 2 2 2 49 3 + + 2/3 x y z - 7/54 x y z - -- z y x - 1/2 x y z + -- x y z + 72 54 + + 2 2 2 2 49 2 + + 7/36 y z + 7/12 x y z - 1/36 y z, COEFF(-1, 0, 2) = - -- x y z + 72 + + 2 2 3 343 3 2 49 3 2 2 + - 5/6 x y z - 7/27 y z + 35/6 x y z + --- z y x - -- z y x + 72 12 + + 2 2 2 2 49 3 2 35 2 + + 4/3 y z + 7/12 x y z + -- y z - 14/9 y z + -- x y z + 35/6 x y z + 27 36 + + 2 2 49 2 2 2 245 3 2 3 + - 5 x y z - -- x y z + 2/9 y z - --- x y z - 14/9 y z + 12 36 + + 2 2 2 2 2 2 + + 7/2 x y z , COEFF(0, 0, 2) = 28/3 x y z + 14/9 x y z + + 3 2 2 2 3 2 2 2 2 2 2 + + 28/3 z y x + 14/9 x y z - 98/9 z y x - 4/3 x y z - 8 x y z + + 343 3 49 2 2 2 2 3 + + --- x y z - -- x y z - 98/9 x y z + 28/3 x y z - 98/9 x y z , + 27 27 + + 2 2 2 2 2 3 2 + COEFF(1, 0, 2) = 4/3 x y z - 28/3 x y z + 70/9 x y z - 10/9 x y z + + 2 2 2 35 49 3 3 2 2 2 + - 4/3 y z - 14/9 x y z + -- x y z - -- y z - 28/3 z y x - 2/9 y z + 27 27 + + 2 2 2 2 2 2 2 3 3 2 + - 20/3 x y z + 8 x y z + 14/9 y z + 14/9 y z + 98/9 z y x + + 245 3 2 2 + - --- x y z + 70/9 x y z + 7/27 y z, COEFF(2, 0, 2) = 1/36 y z + 27 + + 343 3 2 2 49 2 2 49 3 2 2 49 3 + - --- z y x - 7/36 y z + -- x y z + -- z y x + -- x y z + 72 12 12 18 + + 2 2 2 2 3 2 2 2 2 49 2 + - 7/2 x y z - 7/36 y z - 7/12 x y z + 1/6 y z + -- x y z + 72 + + 2 2 49 3 2 3 2 2 + + 1/3 x y z - 7/3 x y z + --- y z - 7/216 y z - 7/3 x y z + 2 x y z + 216 + + 2 2 2 2 2 49 3 2 + - 7/18 x y z, COEFF(3, 0, 2) = - 1/3 x y z + 1/2 x y z + -- z y x + 72 + + 2 2 2 3 2 2 49 3 2 3 + - 7/12 x y z - 1/18 x y z - 7/12 z y x - --- x y z + 7/18 x y z + 108 + + 2 2 2 2 + - 7/72 x y z + 7/108 x y z + 7/18 x y z + 1/12 x y z, COEFF(-2, 1, 2) + + 2 2 35 3 2 2 3 2 + = - 5/12 x y z - -- x y z - 5/72 x y z + 7/9 x y z + 1/36 y z + 54 + + 3 2 2 2 2 2 2 2 35 3 2 3 2 + - 7/12 z y x + 1/12 x y z + 1/2 x y z + -- z y x + 7/72 z x + 72 + + 35 3 2 3 + + 1/54 x z + --- y z - 5/216 y z - 1/216 z - 1/36 z + 7/216 z + 216 + + 2 3 3 2 2 2 2 2 + - 7/36 y z - 7/54 x z - 1/12 x z - 2/3 x y z - 1/72 x z + + 2 2 2 2 2 2 + + 5/54 x y z - 1/9 x y z + 5/9 x y z + 1/9 x z - 5/36 y z + 1/6 y z , + + 35 2 2 175 3 35 2 2 3 + COEFF(-1, 1, 2) = -- x y z + --- x y z + -- x y z - 35/6 x y z + 12 36 72 + + 2 49 3 2 2 2 2 2 2 2 245 3 2 + - 2/9 y z + -- z y x - 7/12 x y z - 7/2 x y z - --- z y x + 12 72 + + 49 3 2 35 3 2 3 + - -- z x - 5/36 x z - -- y z + 5/27 y z + 1/27 z + 2/9 z - 7/27 z + 72 27 + + 2 3 35 3 2 2 2 2 2 25 + + 14/9 y z + -- x z + 7/12 x z + 5 x y z + 7/72 x z - -- x y z + 36 36 + + 2 2 2 2 2 2 + + 5/6 x y z - 25/6 x y z - 5/6 x z + 10/9 y z - 4/3 y z , + + 3 2 2 3 2 2 2 2 2 + COEFF(0, 1, 2) = - 28/3 z y x + 14/9 z x + 70/9 x y z + 8 x y z + + 2 2 35 2 2 2 2 2 + - 4/3 x z + -- x y z - 28/3 x y z - 20/3 x y z + 14/9 x z + 27 + + 2 2 49 3 2 3 2 + - 10/9 x y z - 14/9 x y z - -- x z - 2/9 x z + 70/9 z y x + 27 + + 2 2 245 3 2 3 + + 4/3 x y z - --- x y z + 7/27 x z + 98/9 x y z , COEFF(1, 1, 2) = + 27 + + 2 2 175 3 2 2 3 2 + 20/3 x y z + --- x y z + 10/9 x y z - 70/9 x y z + 2/9 y z + 27 + + 3 2 2 2 2 2 2 2 3 2 3 2 + + 28/3 z y x - 4/3 x y z - 8 x y z - 70/9 z y x - 14/9 z x + + 35 3 2 3 2 3 + - 5/27 x z + -- y z - 5/27 y z - 1/27 z - 2/9 z + 7/27 z - 14/9 y z + 27 + + 35 3 2 2 2 2 2 25 2 + + -- x z + 4/3 x z + 20/3 x y z + 2/9 x z - -- x y z + 10/9 x y z + 27 27 + + 2 2 2 2 2 + - 50/9 x y z - 10/9 x z - 10/9 y z + 4/3 y z , COEFF(2, 1, 2) = + + 35 2 2 35 3 35 2 2 3 2 + - -- x y z - -- x y z - -- x y z + 7/3 x y z - 1/36 y z + 12 18 72 + + 49 3 2 2 2 2 2 2 2 245 3 2 49 3 2 + - -- z y x + 7/12 x y z + 7/2 x y z + --- z y x + -- z x + 12 72 72 + + 35 3 2 3 + + 1/18 x z - --- y z + 5/216 y z + 1/216 z + 1/36 z - 7/216 z + 216 + + 2 3 3 2 2 2 2 2 + + 7/36 y z - 7/18 x z - 7/12 x z - 2 x y z - 7/72 x z + 5/18 x y z + + 2 2 2 2 2 2 + - 1/3 x y z + 5/3 x y z + 1/3 x z + 5/36 y z - 1/6 y z , + + 2 3 2 2 2 2 2 + COEFF(3, 1, 2) = - 1/108 x z - 7/18 x y z - 1/2 x y z + 1/12 x z + + 2 35 3 2 2 3 2 3 2 2 + - 5/18 x y z - -- z y x - 1/18 x z - 7/72 z x + 7/12 z y x + 72 + + 3 2 2 2 2 2 + - 5/108 x y z + 7/108 x z + 5/12 x y z + 1/72 x z + 1/3 x y z + + 2 2 2 2 35 3 + + 5/72 x y z - 1/12 x y z + 1/18 x y z + --- x y z , COEFF(-2, 2, 2) + 108 + + 2 2 3 2 49 2 3 2 + = 1/8 x y z + 7/36 x y z + 1/48 x y z - --- x y z - 7/576 y z + 144 + + 49 3 2 2 2 2 2 2 2 3 2 + + --- z y x - 7/192 x y z - 7/32 x y z - 7/48 z y x + 192 + + 3 2 3 2 + - 7/576 z x - 1/432 x z - 7/144 y z + 1/144 y z + 1/1728 z + 1/288 z + + 3 49 2 3 3 2 2 2 2 + - 7/1728 z + --- y z + 7/432 x z + 1/96 x z + 7/24 x y z + 576 + + 2 2 2 2 + + 1/576 x z - 1/36 x y z + 7/144 x y z - 1/6 x y z - 1/72 x z + + 2 2 2 2 2 35 3 + + 1/24 y z - 7/96 y z , COEFF(-1, 2, 2) = - 7/8 x y z - -- x y z + 24 + + 2 245 2 3 2 343 3 2 2 49 2 2 + - 7/48 x y z + --- x y z + 7/72 y z - --- z y x + --- x y z + 96 192 192 + + 49 2 2 2 49 3 2 49 3 2 3 + + -- x y z + -- z y x + --- z x + 5/288 x z + 7/18 y z - 1/18 y z + 32 48 576 + + 2 3 49 2 3 35 3 2 2 + - 1/216 z - 1/36 z + 7/216 z - -- y z - --- x z - 7/96 x z + 72 288 + + 35 2 2 2 35 2 2 + - -- x y z - 7/576 x z + 5/24 x y z - -- x y z + 5/4 x y z + 16 96 + + 2 2 2 2 49 3 + + 5/48 x z - 1/3 y z + 7/12 y z , COEFF(0, 2, 2) = --- x z + 216 + + 49 2 2 49 3 2 2 2 2 2 2 + + -- x y z + -- x y z + 1/3 x y z - 7/36 x z + 1/6 x z + 2 x y z + 12 18 + + 343 2 3 49 2 3 2 + - --- x y z + -- x y z - 7/18 x y z - 7/216 x z - 7/3 z y x + 72 72 + + 3 2 2 49 3 2 2 2 2 2 + - 7/36 z x + 1/36 x z + -- z y x - 7/12 x y z - 7/3 x y z + 12 + + 2 2 2 2 2 35 3 2 + - 7/2 x y z , COEFF(1, 2, 2) = -2 x y z - -- x y z - 1/3 x y z + 18 + + 245 2 3 2 49 3 2 2 2 2 2 2 2 + + --- x y z - 7/72 y z - -- z y x + 7/12 x y z + 7/2 x y z + 72 12 + + 3 2 3 2 3 + + 7/3 z y x + 7/36 z x + 5/216 x z - 7/18 y z + 1/18 y z + 1/216 z + + 2 3 49 2 3 35 3 2 2 35 2 2 + + 1/36 z - 7/216 z + -- y z - --- x z - 1/6 x z - -- x y z + 72 216 12 + + 2 35 2 2 2 2 + - 1/36 x z + 5/18 x y z - -- x y z + 5/3 x y z + 5/36 x z + 1/3 y z + 72 + + 2 2 2 2 3 2 + - 7/12 y z , COEFF(2, 2, 2) = 7/8 x y z + 7/12 x y z + 7/48 x y z + + 49 2 3 2 343 3 2 2 49 2 2 49 2 2 2 + - -- x y z + 7/576 y z + --- z y x - --- x y z - -- x y z + 48 192 192 32 + + 49 3 2 49 3 2 3 + - -- z y x - --- z x - 1/144 x z + 7/144 y z - 1/144 y z - 1/1728 z + 48 576 + + 2 3 49 2 3 3 2 2 2 2 + - 1/288 z + 7/1728 z - --- y z + 7/144 x z + 7/96 x z + 7/8 x y z + 576 + + 2 2 2 2 + + 7/576 x z - 1/12 x y z + 7/48 x y z - 1/2 x y z - 1/24 x z + + 2 2 2 2 2 2 2 + - 1/24 y z + 7/96 y z , COEFF(3, 2, 2) = - 1/96 x z + 7/192 x y z + + 2 2 3 2 3 2 2 + - 7/48 x y z - 7/864 x z - 1/48 x y z + 7/576 z x + 1/144 x z + + 2 2 2 49 2 3 3 2 49 3 2 2 + - 1/8 x y z + 1/12 x y z + --- x y z + 7/48 z y x - --- z y x + 288 192 + + 2 2 2 2 2 + + 7/32 x y z - 1/576 x z + 1/72 x y z - 7/288 x y z + 1/864 x z + + 3 3 2 + - 7/72 x y z , COEFF(-2, 3, 2) = - 7/216 x y z + 1/36 x y z + + 2 3 3 2 2 3 2 2 2 + + 7/144 x y z + 7/288 z y x - 7/576 y z + 1/96 y z - 1/288 x y z + + 2 2 2 2 2 2 + - 1/864 y z + 1/576 y z - 1/144 x y z - 1/48 x y z + 1/192 x y z + + 2 2 3 3 2 2 2 + - 1/24 x y z + 1/216 x y z + 7/864 y z - 7/192 z y x - 1/144 y z + + 2 2 2 35 2 3 2 2 + + 1/32 x y z , COEFF(-1, 3, 2) = - -- x y z + 1/18 y z + 7/288 x y z + 96 + + 35 3 2 2 2 2 2 49 3 2 + + --- x y z - 7/32 x y z + 7/48 x y z - --- z y x - 5/144 x y z + 144 288 + + 2 3 2 2 49 3 2 2 3 + + 7/72 y z - 5/24 x y z + 5/96 x y z + --- z y x - 7/108 y z + 192 + + 2 2 2 2 2 2 2 + - 1/72 y z - 1/12 y z - 7/192 x y z + 5/16 x y z + 1/108 y z, + + 2 2 2 49 2 3 2 2 3 2 + COEFF(0, 3, 2) = 1/2 x y z + -- x y z - 7/12 x y z + 7/18 z y x + 72 + + 2 2 2 2 3 2 2 2 + - 1/18 x y z - 1/3 x y z + 7/18 x y z - 7/12 z y x - 7/72 x y z + + 2 2 49 3 2 2 + + 7/108 x y z + 1/12 x y z - --- x y z , COEFF(1, 3, 2) = 1/3 x y z + 108 + + 2 2 2 2 3 2 2 2 2 2 + + 5/72 x y z - 1/2 x y z - 7/18 z y x + 5/12 x y z + 1/12 y z + + 2 2 2 2 2 + + 1/72 y z - 5/18 x y z + 1/18 x y z - 1/12 x y z - 5/108 x y z + + 2 3 3 2 2 35 2 3 35 3 + - 7/72 y z + 7/12 z y x - 1/108 y z - -- x y z + --- x y z + 72 108 + + 3 2 2 3 2 2 + + 7/108 y z - 1/18 y z , COEFF(2, 3, 2) = 7/48 x y z - 7/48 x y z + + 2 2 2 2 2 2 2 2 3 + + 1/144 y z - 1/8 x y z + 7/32 x y z + 1/12 x y z + 7/576 y z + + 49 3 2 2 2 2 2 2 2 49 3 2 + - --- z y x - 1/96 y z + 7/192 x y z - 1/48 x y z + --- z y x + 192 288 + + 2 3 2 3 + - 1/576 y z - 7/864 y z + 1/72 x y z - 7/288 x y z - 7/72 x y z + + 2 2 3 + + 1/864 y z, COEFF(3, 3, 2) = - 1/72 x y z - 7/288 x y z + + 3 2 2 2 2 2 + + 7/192 z y x + 1/48 x y z + 1/288 x y z - 1/432 x y z + + 2 2 2 2 2 2 2 2 + - 1/32 x y z + 1/48 x y z - 1/192 x y z + 1/288 x y z + + 3 3 2 2 2 2 + + 7/432 x y z - 7/288 z y x , COEFF(-2, -2, 3) = 1/192 x y z + + 2 3 2 3 2 2 2 3 + - 1/432 y z - 1/108 x y z - 1/576 y z - 1/144 x y z + 1/144 x y z + + 3 3 2 2 2 2 3 2 2 + - 1/1728 z + 1/432 y z - 1/144 x y z + 1/576 x z - 1/192 z y x + + 2 3 2 3 2 3 2 + + 1/108 x y z + 1/432 x z - 1/432 x z + 1/144 z y x - 1/576 z x + + 2 2 2 3 2 + + 1/1728 z + 1/576 y z , COEFF(-1, -2, 3) = - 1/54 y z - 5/72 x y z + + 3 3 3 2 2 2 2 2 + + 5/72 x y z + 1/216 z + 7/192 z y x + 1/54 y z - 7/576 x z + + 3 2 2 3 2 2 2 2 2 2 + + 7/576 z x - 5/96 x y z - 7/192 x y z + 7/144 x y z - 1/216 z + + 2 2 2 2 2 3 2 3 + + 5/96 x y z - 1/72 y z + 5/288 x z - 5/288 x z + 1/72 y z + + 3 2 2 3 3 + - 7/144 z y x , COEFF(0, -2, 3) = 7/54 x y z - 7/54 x y z + 7/216 x z + + 3 2 2 2 3 2 2 2 2 2 2 2 + + 1/9 z y x + 1/36 x z - 1/12 z y x + 1/12 x y z - 7/72 x y z + + 2 2 2 3 3 2 2 + - 1/9 x y z + 7/72 x y z - 1/36 z x - 7/216 x z , COEFF(1, -2, 3) = + + 2 2 3 2 2 3 2 2 + 1/9 x y z - 1/9 z y x - 5/54 x y z + 1/36 z x - 1/54 y z + + 3 2 2 3 2 2 3 3 + + 1/12 z y x - 1/216 z + 1/72 y z + 5/54 x y z - 5/216 x z + + 2 2 2 3 2 3 2 2 2 + + 5/72 x y z - 5/72 x y z - 1/72 y z - 1/36 x z + 1/216 z + + 2 2 2 2 3 3 2 + - 1/12 x y z + 5/216 x z + 1/54 y z , COEFF(2, -2, 3) = - 7/576 z x + + 3 2 3 2 2 2 2 3 + + 7/144 z y x - 1/36 x y z + 7/576 x z - 1/144 x z + 1/48 x y z + + 3 2 2 2 2 2 2 2 2 + - 1/432 y z + 1/432 y z + 7/192 x y z - 7/144 x y z - 1/48 x y z + + 3 2 2 2 3 3 2 2 + - 7/192 z y x + 1/576 y z + 1/144 x z + 1/36 x y z - 1/1728 z + + 3 2 2 3 3 + + 1/1728 z - 1/576 y z , COEFF(3, -2, 3) = 1/216 x y z - 1/864 x z + + 2 3 2 3 2 3 2 2 + + 1/864 x z - 1/144 z y x + 1/576 z x + 1/192 z y x + + 2 3 2 2 2 2 2 2 2 + - 1/288 x y z - 1/576 x z + 1/144 x y z - 1/192 x y z + + 2 2 2 2 3 + - 1/216 x y z + 1/288 x y z , COEFF(-2, -1, 3) = 1/54 x z - 1/54 x z + + 2 2 2 2 2 2 3 2 2 + - 7/192 x y z + 5/288 y z - 1/216 z - 7/144 x y z + 5/96 x y z + + 2 2 3 2 2 3 3 2 3 + - 7/576 y z + 7/192 z y x + 1/216 z - 5/96 z y x - 5/288 y z + + 3 2 2 2 3 2 2 2 + + 5/72 x y z - 1/72 x z + 7/576 y z + 7/144 x y z - 5/72 x y z + + 3 2 35 2 2 3 35 2 2 + + 1/72 z x , COEFF(-1, -1, 3) = - -- x y z + 5/36 y z - -- x y z + 96 96 + + 2 3 2 25 2 3 2 2 + - 7/72 y z + 1/27 z + -- x y z + 5/36 x z - 5/36 y z - 5/36 x z + 48 + + 3 2 2 25 3 49 3 2 2 35 2 3 + - 1/27 z + 7/72 y z - -- x y z - --- z y x + -- x y z + 48 192 96 + + 35 3 2 2 2 3 2 49 2 2 2 + + -- z y x + 7/72 x z - 7/72 z x + --- x y z , COEFF(0, -1, 3) = + 96 192 + + 35 3 3 2 2 3 2 49 2 2 2 2 2 + -- x y z + 7/12 z y x - 5/6 z y x + -- x y z - 7/12 x y z + 36 72 + + 2 2 2 3 2 2 35 2 49 2 3 + + 7/27 x z - 2/9 x z - 7/27 x z + 5/6 x y z - -- x y z - -- x y z + 36 72 + + 3 2 3 2 3 2 + + 2/9 z x , COEFF(1, -1, 3) = 5/6 z y x + 5/27 x z - 5/27 x z + + 2 3 2 2 3 2 25 2 2 3 + + 5/36 y z + 1/27 z - 7/72 y z - 2/9 z x + -- x y z + 7/72 y z + 36 + + 35 2 3 2 25 3 2 2 2 2 2 + + -- x y z - 1/27 z - -- x y z + 7/12 x y z - 5/6 x y z + 72 36 + + 3 3 2 2 35 2 2 2 2 + - 5/36 y z - 7/12 z y x - -- x y z + 2/9 x z , COEFF(2, -1, 3) = + 72 + + 2 2 2 2 2 2 35 3 2 3 2 + 1/216 z + 7/48 x y z + 1/18 x z + 7/576 y z - -- z y x + 7/72 z x + 96 + + 3 2 3 49 2 2 2 35 2 2 3 + + 5/24 x y z - 7/48 x y z - --- x y z + -- x y z + 5/288 y z + 192 96 + + 2 2 3 2 2 2 49 3 2 2 + - 5/24 x y z - 7/576 y z - 7/72 x z - 5/288 y z + --- z y x + 192 + + 3 3 2 2 2 + - 1/216 z - 1/18 x z , COEFF(3, -1, 3) = 1/72 x z + 5/144 x y z + + 2 2 2 2 2 2 2 3 2 2 + - 5/96 x y z + 7/192 x y z - 7/288 x y z - 7/192 z y x + + 3 2 3 2 3 2 2 3 + + 5/96 z y x + 1/108 x z - 1/108 x z - 1/72 z x + 7/288 x y z + + 3 2 3 + - 5/144 x y z , COEFF(-2, 0, 3) = 7/54 x y z - 7/54 x y z + + 3 2 2 2 2 2 3 2 2 2 + - 1/12 z y x - 1/9 x y z - 7/216 y z + 7/72 z y x - 7/72 x y z + + 2 3 2 2 2 3 2 2 2 3 + + 1/9 x y z + 1/36 y z - 1/36 y z + 1/12 x y z + 7/216 y z , + + 49 2 2 2 2 2 2 2 2 3 + COEFF(-1, 0, 3) = -- x y z - 7/12 x y z + 5/6 x y z + 2/9 y z + 72 + + 3 2 2 49 3 2 2 3 35 3 + + 7/12 z y x - -- z y x + 7/27 y z - 7/27 y z + -- x y z + 72 36 + + 35 2 2 2 2 3 2 2 2 + - -- x y z - 2/9 y z - 5/6 x y z , COEFF(0, 0, 3) = 4/3 x y z + 36 + + 3 2 2 2 2 2 2 49 2 49 3 + - 4/3 z y x - 14/9 x y z - 14/9 x y z + -- x y z - -- x y z + 27 27 + + 2 3 3 2 35 3 3 2 2 + + 14/9 x y z + 14/9 z y x , COEFF(1, 0, 3) = -- x y z + 4/3 z y x + 27 + + 2 2 2 2 2 2 2 2 3 3 + - 4/3 x y z + 10/9 x y z + 2/9 y z - 2/9 y z + 7/27 y z + + 35 2 2 2 2 3 3 2 2 + - -- x y z + 14/9 x y z - 10/9 x y z - 14/9 z y x - 7/27 y z , + 27 + + 2 2 3 2 2 3 + COEFF(2, 0, 3) = 7/18 x y z + 1/36 y z + 7/216 y z + 1/3 x y z + + 3 2 2 3 49 2 2 2 2 2 2 + - 7/12 z y x - 7/18 x y z - -- x y z - 1/3 x y z - 1/36 y z + 72 + + 2 2 2 49 3 2 3 2 2 + + 7/12 x y z + -- z y x - 7/216 y z , COEFF(3, 0, 3) = 1/18 x y z + 72 + + 2 2 2 3 2 3 2 + - 1/12 x y z - 7/72 z y x + 7/108 x y z - 7/108 x y z + + 2 2 2 3 3 2 2 + + 7/72 x y z - 1/18 x y z + 1/12 z y x , COEFF(-2, 1, 3) = + + 2 3 2 3 2 2 2 2 2 + 1/36 y z + 5/216 y z - 5/72 z y x - 1/54 x z - 1/12 x y z + + 2 2 2 3 3 2 2 2 2 + + 1/72 x z + 1/216 z + 5/54 x y z + 1/12 z y x + 1/9 x y z + + 2 2 3 3 2 2 2 3 + + 5/72 x y z - 5/216 y z - 1/72 z x - 1/36 y z + 1/54 x z + + 2 2 3 3 2 2 2 + - 5/54 x y z - 1/9 x y z - 1/216 z , COEFF(-1, 1, 3) = 7/12 x y z + + 3 2 2 25 3 2 35 2 2 2 2 + - 7/12 z y x - -- x y z - 1/27 z - -- x y z + 5/36 x z - 5/27 y z + 36 72 + + 35 3 2 2 2 3 2 3 3 2 2 + + -- z y x - 7/72 x z + 7/72 z x + 5/27 y z + 1/27 z + 2/9 y z + 72 + + 3 2 3 2 3 25 2 2 2 + - 5/36 x z + 5/6 x y z - 2/9 y z + -- x y z - 5/6 x y z , + 36 + + 2 3 3 2 2 2 2 + COEFF(0, 1, 3) = - 14/9 x y z + 7/27 x z + 2/9 x z + 14/9 x y z + + 3 2 2 2 2 35 3 2 2 2 + - 10/9 z y x - 7/27 x z + 10/9 x y z + -- x y z - 4/3 x y z + 27 + + 35 2 3 2 2 3 2 2 2 + - -- x y z + 4/3 z y x - 2/9 z x , COEFF(1, 1, 3) = - 10/9 x y z + 27 + + 2 3 3 2 2 2 2 2 2 25 3 3 + + 2/9 y z - 4/3 z y x - 2/9 x z - 2/9 y z - -- x y z - 5/27 x z + 27 + + 2 2 2 25 2 2 2 2 3 2 + + 4/3 x y z + -- x y z - 10/9 x y z + 10/9 x y z + 1/27 z + 27 + + 2 3 3 2 3 2 2 3 + + 5/27 y z - 5/27 y z + 2/9 z x + 10/9 z y x + 5/27 x z - 1/27 z , + + 2 2 2 3 2 3 3 2 + COEFF(2, 1, 3) = 1/36 y z - 1/3 x y z - 1/36 y z - 7/72 z x + + 2 2 3 3 2 2 2 2 2 + + 7/72 x z + 1/216 z + 5/18 x y z + 1/3 x y z - 7/12 x y z + + 3 2 2 3 35 2 2 35 3 2 2 + + 7/12 z y x + 5/216 y z + -- x y z - -- z y x - 1/18 x z + 72 72 + + 2 2 3 2 + - 5/18 x y z - 5/216 y z + 1/18 x z - 1/216 z , COEFF(3, 1, 3) = + + 2 2 2 3 2 3 2 2 3 + 1/12 x y z + 1/72 z x - 1/108 x z - 1/72 x z - 5/108 x y z + + 2 2 2 2 3 2 2 2 2 + + 5/108 x y z - 5/72 x y z + 1/108 x z - 1/12 z y x - 1/18 x y z + + 2 3 3 2 2 3 + + 1/18 x y z + 5/72 z y x , COEFF(-2, 2, 3) = 7/144 x y z + + 3 2 3 3 2 2 3 + + 1/48 z y x + 1/144 y z - 1/36 x y z - 1/1728 z - 7/576 y z + + 2 3 2 2 2 2 2 2 + - 1/144 y z - 7/192 z y x + 1/432 x z + 7/192 x y z + + 2 2 3 2 3 3 2 + - 7/144 x y z + 1/576 z x - 1/432 x z + 1/1728 z + 1/36 x y z + + 2 2 2 2 2 2 2 + + 7/576 y z - 1/576 x z - 1/48 x y z , COEFF(-1, 2, 3) = 1/18 y z + + 3 2 49 3 2 2 2 2 2 2 + - 1/216 z - 5/288 x z + --- z y x + 7/48 x y z - 7/72 y z + 192 + + 3 2 35 2 2 2 3 + - 1/18 y z - 5/24 x y z + -- x y z + 1/216 z + 5/24 x y z + 96 + + 3 2 3 2 3 2 3 49 2 2 2 + - 7/48 z y x - 7/576 z x + 5/288 x z + 7/72 y z - --- x y z + 192 + + 35 2 3 2 2 3 2 2 49 2 3 + - -- x y z + 7/576 x z , COEFF(0, 2, 3) = - 7/12 z y x + -- x y z + 96 72 + + 3 2 3 2 2 2 2 49 2 2 3 + + 1/36 z x + 1/3 z y x + 7/12 x y z - -- x y z - 7/216 x z + 72 + + 2 2 2 3 2 2 2 + + 7/216 x z - 1/3 x y z - 7/18 x y z - 1/36 x z + 7/18 x y z , + + 2 2 3 2 2 2 + COEFF(1, 2, 3) = - 1/216 z - 5/18 x y z + 7/12 z y x - 1/18 y z + + 3 2 3 2 3 35 2 3 2 2 + - 1/3 z y x + 5/18 x y z - 7/72 y z - -- x y z + 7/72 y z + 72 + + 3 35 2 2 2 2 2 3 2 2 + + 1/18 y z + -- x y z - 7/12 x y z + 1/216 z + 1/3 x y z + 72 + + 2 2 2 3 2 3 + + 1/36 x z - 5/216 x z - 1/36 z x + 5/216 x z , COEFF(2, 2, 3) = + + 2 2 2 3 2 2 3 + - 7/576 y z + 7/576 y z + 1/12 x y z + 1/1728 z - 1/144 y z + + 3 49 2 2 2 3 49 3 2 2 2 2 + - 1/1728 z + --- x y z - 1/12 x y z - --- z y x - 7/576 x z + 192 192 + + 2 2 2 3 2 2 2 3 + + 1/144 x z - 7/48 x y z + 7/576 z x + 1/144 y z + 7/48 x y z + + 2 2 3 2 3 + - 7/48 x y z + 7/48 z y x - 1/144 x z , COEFF(3, 2, 3) = + + 3 2 3 2 2 2 3 2 2 + - 1/48 z y x + 7/192 z y x - 7/288 x y z + 7/288 x y z + + 2 2 2 3 2 3 2 + - 1/864 x z + 1/576 x z - 1/576 z x + 1/72 x y z - 1/72 x y z + + 2 2 3 2 2 2 2 + + 1/48 x y z + 1/864 x z - 7/192 x y z , COEFF(-2, 3, 3) = 1/864 y z + + 2 2 2 3 2 2 3 2 2 + - 1/192 x y z - 1/864 y z - 1/576 y z + 1/216 x y z + 1/144 x y z + + 2 3 3 2 3 2 2 2 3 + - 1/144 x y z - 1/288 z y x + 1/192 z y x + 1/576 y z + + 2 2 2 2 3 + - 1/216 x y z + 1/288 x y z , COEFF(-1, 3, 3) = 5/96 x y z + + 2 2 2 3 3 2 2 2 3 + - 5/96 x y z - 1/108 y z - 5/144 x y z - 7/192 z y x - 1/72 y z + + 2 2 3 2 2 3 2 2 2 + + 1/72 y z + 7/288 z y x + 5/144 x y z + 1/108 y z + 7/192 x y z + + 2 2 2 3 2 + - 7/288 x y z , COEFF(0, 3, 3) = - 7/108 x y z - 1/18 z y x + + 2 2 2 2 2 2 3 3 2 2 + - 1/12 x y z + 1/18 x y z - 7/72 x y z + 1/12 z y x + + 2 2 3 3 2 + + 7/72 x y z + 7/108 x y z , COEFF(1, 3, 3) = 1/18 z y x + + 3 2 3 2 2 2 2 2 3 + - 5/108 x y z + 5/72 x y z + 1/12 x y z - 1/72 y z - 1/108 y z + + 2 3 3 2 2 2 2 2 2 2 + + 1/72 y z - 1/12 z y x - 5/72 x y z + 5/108 x y z - 1/18 x y z + + 2 2 2 2 3 2 + + 1/108 y z , COEFF(2, 3, 3) = - 7/192 x y z - 7/288 z y x + + 2 2 2 3 2 3 3 3 + + 1/48 x y z - 1/48 x y z - 1/576 y z + 1/864 y z + 1/72 x y z + + 2 2 2 2 3 2 2 2 2 + - 1/864 y z - 1/72 x y z + 1/576 y z + 7/192 z y x + 7/288 x y z , + + 3 2 2 3 2 + COEFF(3, 3, 3) = - 1/432 x y z - 1/288 x y z + 1/288 z y x + + 3 2 2 2 2 2 2 3 + - 1/192 z y x - 1/288 x y z + 1/432 x y z + 1/288 x y z + + 2 2 2 + + 1/192 x y z ] + +> print_coeff__lc_of_data(%, "coeff_dxy_", "fp", +> "3d.coeffs/3d.cube.order3/coeff-dxy.compute.c"); +bytes used=24201203424, alloc=56350640, time=6548.91 +bytes used=24202203600, alloc=56350640, time=6549.00 +bytes used=24203203944, alloc=56350640, time=6549.10 +bytes used=24204204172, alloc=56350640, time=6549.19 +bytes used=24205204560, alloc=56350640, time=6549.29 +bytes used=24206205176, alloc=56350640, time=6549.39 +bytes used=24207205356, alloc=56350640, time=6549.49 +bytes used=24208205720, alloc=56350640, time=6549.59 +bytes used=24209206096, alloc=56350640, time=6549.69 +bytes used=24210206700, alloc=56350640, time=6549.79 +bytes used=24211206936, alloc=56350640, time=6549.89 +bytes used=24212207120, alloc=56350640, time=6549.99 +bytes 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alloc=56350640, time=8052.31 +bytes used=28079416628, alloc=56350640, time=8052.69 +bytes used=28080418856, alloc=56350640, time=8053.08 +bytes used=28081419088, alloc=56350640, time=8053.41 +bytes used=28082422932, alloc=56350640, time=8054.02 +bytes used=28083423456, alloc=56350640, time=8054.11 +bytes used=28084424112, alloc=56350640, time=8054.19 +bytes used=28085424752, alloc=56350640, time=8054.26 +bytes used=28086425384, alloc=56350640, time=8054.34 +bytes used=28087425624, alloc=56350640, time=8054.42 +bytes used=28088425944, alloc=56350640, time=8054.59 +bytes used=28089426128, alloc=56350640, time=8054.78 +bytes used=28090426300, alloc=56350640, time=8054.93 +bytes used=28091426536, alloc=56350640, time=8055.07 +bytes used=28092426792, alloc=56350640, time=8055.26 +bytes used=28093426940, alloc=56350640, time=8055.46 +bytes used=28094427168, alloc=56350640, time=8055.63 +bytes used=28095427316, alloc=56350640, time=8055.83 +bytes used=28096427496, alloc=56350640, time=8056.01 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used=28116155224, alloc=56350640, time=8058.40 +bytes used=28117155368, alloc=56350640, time=8058.52 +bytes used=28118155508, alloc=56350640, time=8058.63 +bytes used=28119155680, alloc=56350640, time=8058.75 +bytes used=28120155880, alloc=56350640, time=8058.87 +bytes used=28121157040, alloc=56350640, time=8058.99 +bytes used=28122157620, alloc=56350640, time=8059.12 +bytes used=28123158196, alloc=56350640, time=8059.24 +bytes used=28124158368, alloc=56350640, time=8059.37 +bytes used=28125158568, alloc=56350640, time=8059.51 +bytes used=28126158796, alloc=56350640, time=8059.64 +bytes used=28127159172, alloc=56350640, time=8059.77 +bytes used=28128160040, alloc=56350640, time=8059.91 +bytes used=28129160188, alloc=56350640, time=8060.05 +bytes used=28130160336, alloc=56350640, time=8060.20 +bytes used=28131160532, alloc=56350640, time=8060.35 +bytes used=28132160836, alloc=56350640, time=8060.50 +bytes used=28133161020, alloc=56350640, time=8060.65 +bytes used=28134161176, alloc=56350640, time=8060.80 +bytes used=28135161316, alloc=56350640, time=8060.95 +bytes used=28136161464, alloc=56350640, time=8061.11 +bytes used=28137162604, alloc=56350640, time=8061.27 +bytes used=28138162744, alloc=56350640, time=8061.43 +bytes used=28139162920, alloc=56350640, time=8061.59 +bytes used=28140163912, alloc=56350640, time=8061.75 +bytes used=28141164436, alloc=56350640, time=8061.92 +bytes used=28142164788, alloc=56350640, time=8062.08 +bytes used=28143165472, alloc=56350640, time=8062.25 +bytes used=28144166316, alloc=56350640, time=8062.43 +bytes used=28145176884, alloc=56350640, time=8062.56 +bytes used=28146177396, alloc=56350640, time=8062.67 +bytes used=28147177660, alloc=56350640, time=8062.79 +bytes used=28148177900, alloc=56350640, time=8062.92 +bytes used=28149178220, alloc=56350640, time=8063.05 +bytes used=28150178432, alloc=56350640, time=8063.19 + 2 2 2 2 +1/192 x y z DATA(-2, 2, 3) - 7/192 x y z DATA(-1, 2, 3) + + 49 2 2 2 2 + + --- x y z DATA(-1, -2, -1) + 2/3 x y z DATA(1, 1, 3) + 192 + + 2 2 2 2 + + 7/192 x y z DATA(-1, -2, 3) + 7/24 x y z DATA(-1, 1, 3) + + 2 2 2 2 + - 7/24 x y z DATA(-1, -1, 3) - 7/12 x y z DATA(-1, -2, 0) + + 2 2 + + 4/9 DATA(1, 0, 1) - 2/3 x y z DATA(1, -1, 3) + + 2 2 2 2 + + 7/12 x y z DATA(1, -2, -1) - 4/3 x y z DATA(1, -2, 0) + + 49 2 2 2 2 2 + - --- x y z DATA(-1, -2, 2) + 1/12 x y z DATA(-2, 3, 0) + 192 + + 2 2 2 2 2 + + 7/192 x y z DATA(-2, 3, 2) - 7/12 x y z DATA(1, -2, 2) + + 2 2 2 49 2 2 2 + - 1/6 x y z DATA(1, -2, 3) + -- x y z DATA(2, -2, -1) + 96 + + 2 2 2 2 2 2 + + 8/3 x y z DATA(0, -2, 1) - 7/6 x y z DATA(0, -2, 2) + + 2 2 2 2 2 2 + - 7/96 x y z DATA(-1, -2, 3) + 5/4 x y z DATA(1, -1, 3) + + 2 2 2 2 2 2 + - 7/6 x y z DATA(1, -2, -1) + 5/3 x y z DATA(1, 1, 3) + + 35 2 2 2 49 2 2 2 + + -- x y z DATA(-1, 1, 3) - -- x y z DATA(-1, -2, -1) + 48 96 + + 2 2 2 49 2 2 2 + + 7/6 x y z DATA(-1, -2, 0) + -- x y z DATA(-1, -2, 2) + 96 + + 2 2 2 2 2 2 + - 1/2 x y z DATA(-2, 2, 0) + 1/32 x y z DATA(-2, 2, 3) + + 2 2 2 35 2 2 2 + - 7/32 x y z DATA(-1, 2, 3) + -- x y z DATA(-1, -1, 3) + 64 + + 2 2 2 35 2 2 2 + - 7/32 x y z DATA(-2, 2, 2) + -- x y z DATA(-2, -1, 2) + 64 + + 2 2 2 2 2 2 + - 5/64 x y z DATA(-2, -1, 3) + 7/32 x y z DATA(-2, 2, -1) + + 2 2 2 2 2 2 + + 7/6 x y z DATA(0, -2, -1) + 7/3 x y z DATA(0, 0, 3) + + 2 2 2 35 2 2 2 + + 7/12 x y z DATA(0, 3, 2) - -- x y z DATA(3, 1, 2) + 48 + + 2 2 2 2 2 2 + + 5/48 x y z DATA(3, 1, 3) - 7/32 x y z DATA(3, 2, -1) + + 2 2 2 2 2 2 + - 7/12 x y z DATA(0, 3, -1) - 7/48 x y z DATA(3, 0, 3) + + 2 2 2 2 2 2 + + 1/12 x y z DATA(0, 3, -2) + 7/48 x y z DATA(3, 0, -2) + + 2 2 2 2 2 2 + - 1/192 x y z DATA(3, 3, -2) - 7/3 x y z DATA(0, 0, -2) + + 2 2 2 2 2 + - 4/3 x y z DATA(0, -2, 1) + 1/6 x y z DATA(0, -2, 3) + + 2 2 2 2 2 2 + - 5/4 x y z DATA(0, -1, 3) - 5/3 x y z DATA(0, 1, 3) + + 2 2 2 2 2 2 + + 1/2 x y z DATA(0, 2, 3) + 1/192 x y z DATA(3, 3, 3) + + 49 2 2 2 49 2 2 2 + - -- x y z DATA(3, 0, -1) + -- x y z DATA(3, 0, 2) + 48 48 + + 2 2 2 2 2 2 + + 8/3 x y z DATA(1, -2, 0) + 7/6 x y z DATA(1, -2, 2) + + 35 2 2 2 35 2 2 2 + - -- x y z DATA(-1, -1, -2) + -- x y z DATA(2, 1, -2) + 64 48 + + 2 2 2 2 2 2 + - 1/96 x y z DATA(-2, -2, -2) + 1/6 x y z DATA(1, -2, -2) + + 2 2 2 245 2 2 2 + + 35/3 x y z DATA(-1, 1, 1) + --- x y z DATA(-1, -1, -1) + 64 + + 2 2 2 2 2 2 + - 7/2 x y z DATA(-1, 2, 1) - 20 x y z DATA(1, -1, 0) + + 2 2 2 2 2 2 + + 35/4 x y z DATA(2, -1, 0) + 35/4 x y z DATA(1, -1, -1) + + 2 2 2 2 2 + + 7/12 x y z DATA(0, -2, 2) + 7/32 x y z DATA(3, 2, 2) + + 2 2 2 2 2 2 + - 1/32 x y z DATA(3, 2, 3) + 5/4 x y z DATA(3, -1, 1) + + 2 2 2 2 2 2 + - 1/2 x y z DATA(3, 2, 1) - 5/3 x y z DATA(-2, 1, 1) + + 2 2 2 2 2 2 + + 1/2 x y z DATA(-2, 2, 1) - 7/6 x y z DATA(-1, -2, 1) + + 2 2 2 2 2 2 + - 8/3 x y z DATA(1, -2, 1) + 7/6 x y z DATA(2, -2, 1) + + 35 2 2 2 2 2 2 + + -- x y z DATA(2, -1, -2) + 7/32 x y z DATA(-1, 2, -2) + 64 + + 2 2 2 2 2 2 + - 7/32 x y z DATA(2, 2, -2) - 5/3 x y z DATA(1, 1, -2) + + 2 2 2 2 2 2 + + 5/64 x y z DATA(-2, -1, -2) - 1/32 x y z DATA(-2, 2, -2) + + 2 2 2 2 2 2 + + 1/2 x y z DATA(1, 2, -2) - 5/4 x y z DATA(1, -1, -2) + + 2 2 2 2 2 2 + + 7/96 x y z DATA(-1, -2, -2) + 5/48 x y z DATA(-2, 1, -2) + + 2 2 2 49 2 2 + + 35/4 x y z DATA(-1, -1, 1) - --- x y z DATA(2, -2, -1) + 192 + + 2 2 2 2 2 + + 1/12 x y z DATA(1, -2, 3) - 5/48 x y z DATA(3, 1, -2) + + 2 2 2 2 2 2 + + 4/3 x y z DATA(0, 3, 0) - 8/3 x y z DATA(0, -2, 0) + + 2 2 2 2 2 2 + + 5/3 x y z DATA(0, 1, -2) + 5/4 x y z DATA(0, -1, -2) + + 2 2 2 2 2 2 + - 1/2 x y z DATA(0, 2, -2) - 7/96 x y z DATA(2, -2, -2) + + 35 2 2 2 2 2 2 + - -- x y z DATA(-1, 1, -2) + 80/3 x y z DATA(1, 1, 1) + 48 + + 2 2 2 2 2 2 + - 80/3 x y z DATA(1, 1, 0) + 1/6 x y z DATA(-2, -2, 1) + + 2 2 2 2 2 2 + - 5/4 x y z DATA(-2, -1, 1) + 7/12 x y z DATA(2, 3, 0) + + 2 2 2 2 2 2 + - 7/192 x y z DATA(2, 3, 3) + 7/3 x y z DATA(3, 0, 0) + + 2 2 2 2 2 2 + - 4/3 x y z DATA(1, 3, 0) + 80/3 x y z DATA(0, 1, 0) + + 2 2 2 2 2 2 + - 7/12 x y z DATA(-1, 3, 0) + 7/192 x y z DATA(-1, 3, 3) + + 49 2 2 2 2 2 2 + - -- x y z DATA(-1, 0, 3) - 7/3 x y z DATA(1, 0, 3) + 48 + + 2 2 2 2 2 2 + - 7/12 x y z DATA(1, 3, 2) + 1/12 x y z DATA(1, 3, 3) + + 2 2 2 2 2 2 + + 1/6 x y z DATA(3, -2, 0) - 5/4 x y z DATA(3, -1, 0) + + 2 2 2 2 2 2 + - 5/3 x y z DATA(3, 1, 0) + 1/2 x y z DATA(3, 2, 0) + + 2 2 2 2 2 2 + - 112/3 x y z DATA(0, 0, 0) - 5/64 x y z DATA(3, -1, -2) + + 2 2 2 2 2 2 + + 1/32 x y z DATA(3, 2, -2) - 1/6 x y z DATA(0, -2, -2) + + 2 2 2 2 2 2 + + 1/96 x y z DATA(3, -2, -2) - 8 x y z DATA(0, 2, 0) + + 2 2 2 49 2 2 2 + + 20 x y z DATA(0, -1, 0) + --- x y z DATA(2, 3, 2) + 192 + + 2 2 2 2 2 2 + + 49/3 x y z DATA(2, 0, 1) + 49/3 x y z DATA(-1, 0, 0) + + 49 2 2 2 2 2 2 + - -- x y z DATA(-2, 0, 2) + 7/48 x y z DATA(-2, 0, 3) + 48 + + 2 2 2 2 2 2 + + 7/192 x y z DATA(2, 3, -2) - 7/48 x y z DATA(-2, 0, -2) + + 2 2 2 2 2 2 + + 1/192 x y z DATA(-2, 3, -2) + 7/3 x y z DATA(1, 0, -2) + + 2 2 2 343 2 2 2 + - 1/12 x y z DATA(1, 3, -2) - --- x y z DATA(-1, 0, -1) + 48 + + 49 2 2 2 49 2 2 2 + - --- x y z DATA(-1, 3, 2) + --- x y z DATA(-1, 3, -1) + 192 192 + + 2 2 2 2 2 2 + - 1/12 x y z DATA(3, 3, 0) - 1/6 x y z DATA(3, -2, 1) + + 2 2 2 49 2 2 2 + + 7/12 x y z DATA(1, 3, -1) + -- x y z DATA(2, 0, 3) + 48 + + 49 2 2 2 2 2 2 + - --- x y z DATA(2, 3, -1) - 49/3 x y z DATA(1, 0, -1) + 192 + + 2 2 2 2 2 2 + + 7/3 x y z DATA(-2, 0, 1) - 1/12 x y z DATA(-2, 3, 1) + + 49 2 2 2 49 2 2 2 + + -- x y z DATA(-1, 0, -2) - -- x y z DATA(2, 0, -2) + 48 48 + + 2 2 2 2 2 2 + - 7/192 x y z DATA(-1, 3, -2) + 35/3 x y z DATA(2, 1, 0) + + 35 2 2 2 2 2 2 + - -- x y z DATA(2, 1, 3) + 7/32 x y z DATA(2, 2, 3) + 48 + + 2 2 2 343 2 2 2 + - 112/3 x y z DATA(1, 0, 1) - --- x y z DATA(2, 0, 2) + 48 + + 2 2 2 2 2 2 + + 112/3 x y z DATA(1, 0, 0) - 7/6 x y z DATA(2, -2, 0) + + 49 2 2 2 2 2 2 + - -- x y z DATA(2, -2, 2) + 7/96 x y z DATA(2, -2, 3) + 96 + + 35 2 2 2 2 2 2 + - -- x y z DATA(2, -1, 3) - 1/2 x y z DATA(1, 2, 3) + 64 + + 343 2 2 2 2 2 2 + + --- x y z DATA(-1, 0, 2) + 49/3 x y z DATA(1, 0, 2) 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y z DATA(2, 3, -2) + 1/12 x y z DATA(2, 3, 2) + + 25 2 2 + + -- x y z DATA(1, 3, -1) - 5/18 x y z DATA(1, 3, 2) + 36 + + 2 2 + - 5/24 x y z DATA(-1, 3, 2) - 5/24 x y z DATA(2, 3, -1) + + 2 245 2 2 + + 1/36 x y z DATA(-2, 3, 2) + --- x y z DATA(-1, 0, -1) + 24 + + 35 2 2 2 2 + - -- x y z DATA(1, 0, -2) + 7/36 x y z DATA(-2, 0, -2) + 18 + + 2 2 2 2 + - 20/3 x y z DATA(2, 1, 0) - 5 x y z DATA(2, -1, 0) + + 2 2 35 2 2 + - 7/12 x y z DATA(2, 0, 3) + -- x y z DATA(1, 0, 3) + 18 + + 35 2 2 2 2 + + -- x y z DATA(-1, 0, 3) - 7/36 x y z DATA(-2, 0, 3) + 24 + + 49 2 2 2 2 + + -- x y z DATA(-2, 0, 2) + 28/9 x y z DATA(-2, 0, 0) + 36 + + 2 2 2 2 + + 28/3 x y z DATA(2, 0, 0) + 200/9 x y z DATA(1, 1, 0) + + 245 2 2 49 2 2 + + --- x y z DATA(1, 0, -1) - -- x y z DATA(2, 0, -1) + 18 12 + + 2 2 35 2 2 + + 70/3 x y z DATA(-1, 0, 1) + -- x y z DATA(-1, 3, 2) + 96 + + 35 2 2 2 2 + - -- x y z DATA(-1, 3, -1) + 1/48 x y z DATA(2, 3, 3) + 96 + + 2 2 2 2 + - 7/48 x y z DATA(2, 3, 2) + 7/48 x y z DATA(2, 3, -1) + + 35 2 2 2 2 + - -- x y z DATA(1, 3, -1) - 5/72 x y z DATA(1, 3, 3) + 72 + + 2 2 + - 5/72 x y z DATA(1, 2, -2) - 5/12 x y z DATA(-1, 1, 3) + + 35 2 35 2 + - -- x y z DATA(-1, -2, -1) + -- x y z DATA(-1, -2, 2) + 96 96 + + 2 2 + - 5/96 x y z DATA(-1, -2, 3) - 5/9 x y z DATA(1, 1, 3) + + 2 2 + + 5/9 x y z DATA(1, -1, 3) - 7/6 x y z DATA(2, 1, 2) + + 35 2 35 2 + + -- x y z DATA(-1, 1, 2) - -- x y z DATA(1, 2, 2) + 12 72 + + 2 2 + + 7/18 x y z DATA(-2, 1, -1) - 7/48 x y z DATA(2, 2, -1) + + 2 2 + - 1/3 x y z DATA(2, 2, 1) - 7/6 x y z DATA(2, -1, -1) + + 2 35 2 + - 8/3 x y z DATA(2, -1, 1) - -- x y z DATA(-1, -1, 2) + 12 + + 2 35 2 + + 7/6 x y z DATA(2, -1, 2) - -- x y z DATA(-1, 2, 2) + 96 + + 2 35 2 2 + + 7/48 x y z DATA(2, 2, 2) + -- x y z DATA(1, 3, 2) + 72 + + 2 2 2 + - 5/96 x y z DATA(-1, 3, 3) + 5/12 x y z DATA(-1, -1, 3) + + 2 2 + - 35/9 x y z DATA(1, -1, 2) + 80/9 x y z DATA(1, -1, 1) + + 2 35 2 + - 35/9 x y z DATA(1, 1, -1) + -- x y z DATA(-1, 2, -1) + 96 + + 2 2 + + 5/6 x y z DATA(-1, 2, 1) + 7/6 x y z DATA(2, 1, -1) + + 2 35 2 + + 8/3 x y z DATA(2, 1, 1) + -- x y z DATA(1, 2, -1) + 72 + + 2 2 + + 10/9 x y z DATA(1, 2, 1) + 35/9 x y z DATA(1, 1, 2) + + 2 2 + + 5/72 x y z DATA(1, -2, -2) - 20/3 x y z DATA(-1, 1, 1) + + 35 2 2 + + -- x y z DATA(-1, -1, -1) + 20/3 x y z DATA(-1, -1, 1) + 12 + + 35 2 2 + - -- x y z DATA(-1, 1, -1) + 35/9 x y z DATA(1, -1, -1) + 12 + + 2 35 2 + + 5/72 x y z DATA(1, 2, 3) - -- x y z DATA(1, -2, -1) + 72 + + 35 2 2 + + -- x y z DATA(1, -2, 2) - 5/72 x y z DATA(1, -2, 3) + 72 + + 2 2 + + 7/48 x y z DATA(2, -2, -1) - 7/48 x y z DATA(2, -2, 2) + + 2 2 + - 5/9 x y z DATA(1, -1, -2) + 5/96 x y z DATA(-1, -2, -2) + + 2 2 + - 1/18 x y z DATA(-2, 1, -2) - 1/48 x y z DATA(2, -2, -2) + + 2 2 + - 1/144 x y z DATA(-2, -2, -2) - 80/9 x y z DATA(1, 1, 1) + + + 1/36 x y z DATA(2, -2, -2) + 1/108 x y z DATA(-2, -2, -2) + + 200 2 + + --- x y z DATA(1, 1, 1) + 1/48 x y z DATA(2, -2, 3) + 27 + + 2 2 + - 1/6 x y z DATA(2, -1, 3) + 1/6 x y z DATA(2, 1, 3) + + 2 2 + - 1/48 x y z DATA(2, 2, 3) - 8/3 x y z DATA(2, 1, 0) + + 2 2 + + 20/3 x y z DATA(-1, 1, 0) + 1/3 x y z DATA(2, 2, 0) + + 2 2 + + 8/9 x y z DATA(-2, 1, 1) - 1/9 x y z DATA(-2, 2, 1) + + 2 2 + - 5/6 x y z DATA(-1, -2, 1) - 10/9 x y z DATA(1, -2, 1) + + 2 2 + + 1/3 x y z DATA(2, -2, 1) - 5/12 x y z DATA(-1, -1, -2) + + 2 2 + + 5/12 x y z DATA(-1, 1, -2) - 1/6 x y z DATA(2, 1, -2) + + 25 + + -- x y z DATA(1, -2, -1) - 5/18 x y z DATA(1, -2, 2) + 36 + + - 5/24 x y z DATA(2, -2, -1) + 1/12 x y z DATA(2, -2, 2) + + 2 2 + - 80/9 x y z DATA(1, -1, 0) + 1/9 x y z DATA(-2, -2, 1) + + 2 2 + - 7/18 x y z DATA(-2, 1, 2) + 1/18 x y z DATA(-2, 1, 3) + + 2 2 + + 7/144 x y z DATA(-2, -2, -1) - 7/144 x y z DATA(-2, -2, 2) + + 2 2 + + 1/144 x y z DATA(-2, -2, 3) - 7/18 x y z DATA(-2, -1, -1) + + 2 2 + + 7/18 x y z DATA(-2, -1, 2) - 1/18 x y z DATA(-2, -1, 3) + + 2 2 + - 7/144 x y z DATA(-2, 2, -1) + 7/144 x y z DATA(-2, 2, 2) + + 2 2 + - 1/144 x y z DATA(-2, 2, 3) + 5/96 x y z DATA(-1, 2, 3) + + 2 2 + + 1/6 x y z DATA(2, -1, -2) - 5/96 x y z DATA(-1, 2, -2) + + 2 2 + + 1/48 x y z DATA(2, 2, -2) + 5/9 x y z DATA(1, 1, -2) + + 2 2 + + 1/18 x y z DATA(-2, -1, -2) + 1/144 x y z DATA(-2, 2, -2) + + 2 2 + - 8/9 x y z DATA(-2, -1, 1) - 8/9 x y z DATA(-2, 1, 0) + + 2 2 + - 1/9 x y z DATA(-2, -2, 0) + 8/9 x y z DATA(-2, -1, 0) + + 2 2 + + 1/9 x y z DATA(-2, 2, 0) + 5/6 x y z DATA(-1, -2, 0) + + 2 2 + + 10/9 x y z DATA(1, -2, 0) - 1/3 x y z DATA(2, -2, 0) + + 2 2 + + 80/9 x y z DATA(1, 1, 0) + 8/3 x y z DATA(2, -1, 0) + + 2 2 + - 10/9 x y z DATA(1, 2, 0) - 5/6 x y z DATA(-1, 2, 0) + + 2 3 2 + - 20/3 x y z DATA(-1, -1, 0) + 5/96 y x z DATA(-1, 3, 3) + + 35 3 2 14 + - -- y x z DATA(-1, 3, 2) - -- x y z DATA(0, 1, 3) + 96 27 + + + 7/108 x y z DATA(0, 2, 3) + 1/54 x y z DATA(3, 1, 3) + + - 5/72 x y z DATA(-2, -2, -1) + 1/36 x y z DATA(-2, -2, 2) + + + 5/9 x y z DATA(-2, -1, -1) - 2/9 x y z DATA(-2, -1, 2) + + + 5/72 x y z DATA(-2, 2, -1) - 1/36 x y z DATA(-2, 2, 2) + + 25 + + -- x y z DATA(-1, -2, -1) - 5/24 x y z DATA(-1, -2, 2) + 48 + + + 2/3 x y z DATA(2, 1, 2) + 5/9 x y z DATA(-1, -1, -2) + + 20 + - -- x y z DATA(-2, 1, 1) + 5/54 x y z DATA(-2, 2, 1) + 27 + + 25 25 + + -- x y z DATA(-1, -2, 1) + -- x y z DATA(1, -2, 1) + 36 27 + + 25 25 + - -- x y z DATA(1, 2, -1) - -- x y z DATA(1, 2, 1) + 36 27 + + - 20/9 x y z DATA(1, 1, 2) - 5/54 x y z DATA(1, -2, -2) + + + 50/9 x y z DATA(-1, 1, 1) - 25/6 x y z DATA(-1, -1, -1) + + - 50/9 x y z DATA(-1, -1, 1) + 25/6 x y z DATA(-1, 1, -1) + + - 50/9 x y z DATA(1, -1, -1) + 5/54 x y z DATA(1, 2, -2) + + 20 + + -- x y z DATA(1, -1, -2) - 5/72 x y z DATA(-1, -2, -2) + 27 + + + 2/27 x y z DATA(-2, 1, -2) - 5/3 x y z DATA(-1, 1, 2) + + + 5/18 x y z DATA(1, 2, 2) - 5/9 x y z DATA(-2, 1, -1) + + + 5/24 x y z DATA(2, 2, -1) + 5/18 x y z DATA(2, 2, 1) + + + 5/3 x y z DATA(2, -1, -1) + 20/9 x y z DATA(2, -1, 1) + + + 5/3 x y z DATA(-1, -1, 2) - 2/3 x y z DATA(2, -1, 2) + + + 5/24 x y z DATA(-1, 2, 2) - 1/12 x y z DATA(2, 2, 2) + + 200 + + 20/9 x y z DATA(1, -1, 2) - --- x y z DATA(1, -1, 1) + 27 + + + 50/9 x y z DATA(1, 1, -1) - 5/18 x y z DATA(2, -2, 1) + + - 5/9 x y z DATA(-1, 1, -2) + 2/9 x y z DATA(2, 1, -2) + + - 2/9 x y z DATA(2, -1, -2) + 5/72 x y z DATA(-1, 2, -2) + + 20 + - 1/36 x y z DATA(2, 2, -2) - -- x y z DATA(1, 1, -2) + 27 + + - 2/27 x y z DATA(-2, -1, -2) - 1/108 x y z DATA(-2, 2, -2) + + 20 + + -- x y z DATA(-2, -1, 1) - 5/54 x y z DATA(-2, -2, 1) + 27 + + 25 + + 2/9 x y z DATA(-2, 1, 2) - -- x y z DATA(-1, 2, -1) + 48 + + 25 + - -- x y z DATA(-1, 2, 1) - 5/3 x y z DATA(2, 1, -1) + 36 + + 2 2 + - 20/9 x y z DATA(2, 1, 1) + 7/24 x y z DATA(2, -2, 2) + + 2 2 2 2 + + 7/144 x y z DATA(-2, 3, -1) - 1/8 x y z DATA(2, 2, 3) + + 2 2 2 2 + + 5/12 x y z DATA(2, 1, 3) + 5/16 x y z DATA(2, -1, 3) + + 2 2 2 2 + - 1/24 x y z DATA(2, -2, 3) - 7/144 x y z DATA(-2, 3, 2) + + 2 2 2 2 + + 1/144 x y z DATA(-2, 3, 3) + 5/12 x y z DATA(1, 2, 3) + + 2 2 2 2 + - 7/24 x y z DATA(2, -2, -1) + 5/36 x y z DATA(1, -2, 3) + + 35 2 2 35 2 2 + - -- x y z DATA(1, -2, 2) + -- x y z DATA(1, -2, -1) + 36 36 + + 175 2 2 2 2 + - --- x y z DATA(1, -1, -1) + 1/24 x y z DATA(2, -2, -2) + 24 + + 2 2 2 2 + - 5/36 x y z DATA(-2, 1, -2) + 1/72 x y z DATA(-2, -2, -2) + + 2 2 35 2 2 + - 200/9 x y z DATA(1, 1, 1) + -- x y z DATA(1, 2, -1) + 12 + + 2 2 35 2 2 + + 20/3 x y z DATA(2, 1, 1) + -- x y z DATA(2, 1, -1) + 12 + + 2 2 35 2 2 + + 5 x y z DATA(-1, 2, 1) + -- x y z DATA(-1, 2, -1) + 16 + + 175 2 2 2 2 + - --- x y z DATA(1, 1, -1) - 50/3 x y z DATA(1, -1, 1) + 18 + + 175 2 2 2 2 + + --- x y z DATA(1, 1, 2) + 20/3 x y z DATA(1, 2, 1) + 18 + + 175 2 2 2 2 + - --- x y z DATA(-1, -1, -1) - 50/3 x y z DATA(-1, 1, 1) + 32 + + 2 2 175 2 2 + - 5/36 x y z DATA(1, -2, -2) - --- x y z DATA(-1, 1, -1) + 24 + + 2 2 2 2 + - 25/2 x y z DATA(-1, -1, 1) - 5/48 x y z DATA(-1, -2, -2) + + 25 2 2 2 2 + + -- x y z DATA(1, -1, -2) + 5/72 x y z DATA(1, 3, -2) + 24 + + 2 2 175 2 2 + - 5/12 x y z DATA(1, 2, -2) + --- x y z DATA(1, -1, 2) + 24 + 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DATA(-2, 2, -1) + 5/48 x y z DATA(-2, -1, 3) + + 35 2 2 35 2 2 + - -- x y z DATA(-1, -2, 2) + -- x y z DATA(-1, -2, -1) + 48 48 + + 25 2 2 25 2 2 + - -- x y z DATA(-1, 1, 3) - -- x y z DATA(-1, -1, 3) + 24 32 + + 2 2 25 2 2 + + 5/16 x y z DATA(-1, 2, 3) - -- x y z DATA(1, -1, 3) + 24 + + 25 2 2 2 2 + - -- x y z DATA(1, 1, 3) - 2/3 x y z DATA(-2, 2, 1) + 18 + + 2 2 2 2 + + 5/3 x y z DATA(-2, -1, 1) - 1/144 x y z DATA(-2, 3, -2) + + 2 2 2 2 + + 1/24 x y z DATA(-2, 2, -2) - 5/48 x y z DATA(-2, -1, -2) + + 25 2 2 2 2 + + -- x y z DATA(1, 1, -2) - 1/48 x y z DATA(2, 3, -2) + 18 + + 2 2 2 2 + + 1/8 x y z DATA(2, 2, -2) - 5/16 x y z DATA(-1, 2, -2) + + 2 2 2 2 + + 5/96 x y z DATA(-1, 3, -2) - 5/16 x y z DATA(2, -1, -2) + + 2 2 25 2 2 + - 5/12 x y z DATA(2, 1, -2) + -- x y z DATA(-1, 1, -2) + 24 + + 2 2 2 2 + - 20/9 x y z DATA(1, -2, 0) - 5/3 x y z DATA(-1, -2, 0) + + 2 2 2 2 + + 2/3 x y z DATA(-2, 2, 0) - 5/3 x y z DATA(-2, -1, 0) + + 2 2 2 2 + + 2/9 x y z DATA(-2, -2, 0) - 20/9 x y z DATA(-2, 1, 0) + + 2 2 2 2 + + 25/2 x y z DATA(-1, -1, 0) - 5 x y z DATA(-1, 2, 0) + + 2 2 2 2 + - 20/3 x y z DATA(1, 2, 0) + 5/6 x y z DATA(-1, 3, 0) + + 2 2 2 2 + - 1/9 x y z DATA(-2, 3, 0) + 2/3 x y z DATA(2, -2, 0) + + 2 2 2 2 + - 10/9 x y z DATA(1, 3, 1) + 20/9 x y z DATA(1, -2, 1) + + 2 2 2 2 + + 5/3 x y z DATA(-1, -2, 1) + 1/9 x y z DATA(-2, 3, 1) + + 245 2 2 245 2 2 + - --- x y z DATA(1, 0, 2) - --- x y z DATA(-1, 0, 2) + 18 24 + + 2 2 2 2 + + 280/9 x y z DATA(1, 0, 1) - 280/9 x y z DATA(1, 0, 0) + + 2 2 2 2 + - 28/9 x y z DATA(-2, 0, 1) + 20/9 x y z DATA(-2, 1, 1) + + 2 2 2 2 + - 1/3 x y z DATA(2, 3, 0) + 10/9 x y z DATA(1, 3, 0) + + 49 2 2 25 2 2 + + -- x y z DATA(2, 0, 2) + -- x y z DATA(-1, -1, -2) + 12 32 + + 2 2 2 2 + - 2/3 x y z DATA(2, -2, 1) - 70/3 x y z DATA(-1, 0, 0) + + 49 2 2 2 2 + - -- x y z DATA(-2, 0, -1) + 7/12 x y z DATA(2, 0, -2) + 36 + + 35 2 2 2 2 + - -- x y z DATA(-1, 0, -2) + 50/3 x y z DATA(-1, 1, 0) + 24 + + 2 2 2 2 + - 28/3 x y z DATA(2, 0, 1) + 2 x y 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z - 5/144 x y + 5/288 x y - 7/576 x y + 7/288 x y + + 2 2 2 2 2 2 + - 1/72 y z + 1/36 y z , COEFF(0, -2, -2) = - 7/72 x y z + 7/36 x y z + + 2 3 2 2 2 2 2 2 3 2 + - 1/9 x y z - 1/9 z y x - 1/6 x y z - 1/18 x y + 1/36 y x + + 2 3 2 2 3 2 + + 1/36 x y - 7/216 x y - 7/72 y x z + 7/54 x y z + 1/12 z y x + + 2 2 2 2 2 3 3 + + 7/108 x y + 2/9 x y z + 1/12 x y z + 7/54 z y x - 7/216 y x + + 2 2 3 2 3 2 + - 7/27 x y z, COEFF(1, -2, -2) = - 1/12 z y x + 1/9 z y x + + 2 2 3 3 2 2 2 + - 1/12 x y z - 5/54 z y x + 5/72 y x z + 1/9 x y z + 1/27 y z + + 2 2 2 2 2 3 3 + - 2/9 x y z + 1/6 x y z - 1/54 y z + 1/216 y + 5/216 y x - 1/54 z y + + 2 2 2 3 3 2 3 2 + - 1/108 y - 5/36 x y z + 1/216 y + 1/72 y z - 1/36 y x + + 2 2 2 + - 5/54 x y z + 5/27 x y z + 5/72 x y z - 5/108 x y + 5/216 x y + + 2 2 2 2 2 2 + - 1/36 x y + 1/18 x y + 1/72 y z - 1/36 y z , COEFF(2, -2, -2) = + + 2 3 2 3 2 2 2 3 3 2 + 7/192 z y x - 7/144 z y x + 7/192 x y z + 1/36 z y x - 1/48 y x z + + 2 2 2 2 2 2 2 + - 7/144 x y z - 1/216 y z + 7/72 x y z - 7/96 x y z + 1/432 y z + + 3 3 2 2 2 3 + - 1/1728 y - 1/144 y x + 1/432 z y + 1/864 y + 1/24 x y z - 1/1728 y + + 3 2 3 2 2 2 + - 1/576 y z + 7/576 y x + 1/36 x y z - 1/18 x y z - 1/48 x y z + + 2 2 2 2 2 + + 1/72 x y - 1/144 x y + 7/576 x y - 7/288 x y - 1/576 y z + + 2 2 2 2 3 2 + + 1/288 y z , COEFF(3, -2, -2) = - 1/144 x y z + 1/144 z y x + + 2 2 2 2 2 3 2 3 2 + + 1/288 x y z + 1/288 x y - 1/576 x y - 1/192 z y x + 1/288 y x z + + 3 3 2 3 2 + + 1/864 y x + 1/864 x y - 1/216 z y x - 1/432 x y - 1/576 y x + + 2 2 2 2 2 2 + + 1/144 x y z - 1/72 x y z + 1/108 x y z - 1/192 x y z - 1/216 x y z + + 2 2 2 2 3 2 3 2 + + 1/96 x y z , COEFF(-2, -1, -2) = - 7/192 z y x + 7/144 z y x + + 2 2 3 3 2 2 2 + - 1/24 x y z - 7/108 z y x + 7/144 y x z + 1/18 x y z - 5/144 y z + + 2 2 2 2 2 3 + - 5/48 x y z + 5/64 x y z + 1/54 y z - 1/216 y + 7/432 y x + + 3 2 2 2 3 3 2 + + 7/432 z y + 5/576 y - 5/48 x y z - 7/1728 y - 7/576 y z + + 3 2 2 2 2 + - 7/576 y x - 2/27 x y z + 5/36 x y z + 1/18 x y z - 5/144 x y + + 2 2 2 2 2 2 + + 1/54 x y - 1/72 x y + 5/192 x y - 1/72 y z + 5/192 y z , + + 49 2 3 2 49 3 2 2 2 35 3 + COEFF(-1, -1, -2) = --- z y x - --- z y x + 7/24 x y z + -- z y x + 192 144 72 + + 35 3 2 2 2 35 2 2 35 2 2 2 + - -- y x z - 7/18 x y z + 5/18 y z + -- x y z - -- x y z + 96 48 64 + + 35 3 3 2 25 2 2 + - 4/27 y z + 1/27 y - --- y x - 7/54 z y - 5/72 y + -- x y z + 288 32 + + 3 3 2 49 3 2 25 2 2 + + 7/216 y + 7/72 y z + --- y x + 5/9 x y z - -- x y z - 5/12 x y z + 576 24 + + 25 2 2 35 2 2 2 2 2 + + -- x y - 5/36 x y + 7/72 x y - --- x y + 1/9 y z - 5/24 y z , + 96 192 + + 49 3 2 2 2 2 2 2 + COEFF(0, -1, -2) = - -- z y x + 5/4 x y z - 5/3 x y z + 7/9 x y z + 54 + + 2 2 2 3 2 2 49 3 + - 2/3 x y z - 2/9 x y + 7/9 z y x + 7/27 x y + 8/9 x y z + --- y x + 216 + + 3 2 28 35 2 2 2 3 2 35 2 + - 7/36 y x - -- x y z - -- x y z - 7/12 z y x - -- x y + 27 24 72 + + 2 2 49 3 2 35 2 2 3 2 + + 5/12 x y + -- y x z + -- x y z, COEFF(1, -1, -2) = 7/12 z y x + 72 18 + + 3 2 2 2 35 3 35 3 2 2 + - 7/9 z y x + 2/3 x y z + -- z y x - -- y x z - 8/9 x y z + 54 72 + + 2 2 2 2 2 2 35 3 + - 5/18 y z + 5/3 x y z - 5/4 x y z + 4/27 y z - 1/27 y - --- y x + 216 + + 3 2 25 2 2 3 3 2 3 2 + + 7/54 z y + 5/72 y + -- x y z - 7/216 y - 7/72 y z + 7/36 y x + 24 + + 20 25 2 2 25 2 2 + + -- x y z - -- x y z - 5/9 x y z + -- x y - 5/27 x y + 2/9 x y + 27 18 72 + + 2 2 2 2 2 49 2 3 2 + - 5/12 x y - 1/9 y z + 5/24 y z , COEFF(2, -1, -2) = - --- z y x + 192 + + 49 3 2 2 2 3 3 2 2 + + --- z y x - 7/24 x y z - 7/36 z y x + 7/48 y x z + 7/18 x y z + 144 + + 2 35 2 2 35 2 2 2 3 + + 5/144 y z - -- x y z + -- x y z - 1/54 y z + 1/216 y + 7/144 y x + 48 64 + + 3 2 2 2 3 3 2 + - 7/432 z y - 5/576 y - 5/16 x y z + 7/1728 y + 7/576 y z + + 49 3 2 2 2 2 + - --- y x - 2/9 x y z + 5/12 x y z + 1/6 x y z - 5/48 x y + 1/18 x y + 576 + + 2 35 2 2 2 2 2 + - 7/72 x y + --- x y + 1/72 y z - 5/192 y z , COEFF(3, -1, -2) = + 192 + + 2 2 2 2 2 2 2 3 2 + - 5/192 x y + 1/72 x y - 5/72 x y z - 5/64 x y z - 7/144 z y x + + 3 3 2 2 2 + + 1/27 x y z - 7/864 y x - 1/108 x y + 7/576 y x + 5/96 x y z + + 2 3 2 2 2 2 + - 1/18 x y z + 7/216 z y x - 1/36 x y z + 5/288 x y + 1/24 x y z + + 2 3 2 3 2 2 2 + + 7/192 z y x - 7/288 y x z + 5/48 x y z, COEFF(-2, 0, -2) = + + 2 3 2 3 2 3 3 2 2 + 1/12 z y x - 1/9 z y x + 4/27 z y x - 1/9 y x z + 7/108 y z + + 2 2 2 2 2 2 + + 7/36 x y z - 7/48 x y z - 1/36 x + 1/9 x z - 1/36 z + 1/48 z + + 3 3 2 2 2 2 2 2 + - 1/27 y x - 1/27 z y + 1/48 x - 7/432 y + 1/16 x z + 7/36 x y z + + 3 2 3 2 3 2 2 + + 1/108 y - 1/12 x z + 1/36 y z + 1/36 y x - 7/27 x y z + + 2 2 2 2 2 2 + + 7/108 x y - 7/144 x y - 1/12 x z + 1/144 - 7/144 y z , + + 2 3 2 3 2 3 + COEFF(-1, 0, -2) = - 7/12 z y x + 7/9 z y x - 10/9 z y x + + 3 2 14 2 49 2 2 49 2 2 2 + + 5/6 y x z - -- y z - -- x y z + -- x y z + 5/24 x - 5/6 x z + 27 36 48 + + 2 3 3 2 2 2 2 + + 2/9 z - 1/6 z + 5/18 y x + 8/27 z y - 7/48 x + 7/54 y - 7/16 x z + + 35 2 2 3 2 3 2 3 2 35 2 + - -- x y z - 2/27 y + 7/12 x z - 2/9 y z - 7/36 y x + -- x y z + 24 18 + + 35 2 49 2 2 2 2 2 + - -- x y + --- x y + 5/8 x z - 1/18 + 7/18 y z , COEFF(0, 0, -2) = + 72 144 + + 56 3 2 2 49 2 2 49 2 98 2 + -- z y x + x z + 14/9 x z + -- x y z + -- x y - 7/18 x - -- x y z + 27 18 54 27 + + 2 3 2 2 3 2 2 2 14 3 + - 4/3 x z - 14/9 y x z + 4/3 z y x - 7/9 x y - -- y x + 27 + + 2 2 3 2 2 2 2 2 2 + + 28/9 x y z + 4/9 y x - 7/3 x y z + 1/3 x - 7/6 x z + + 3 2 2 3 2 3 2 + - 16/9 z y x , COEFF(1, 0, -2) = - 4/3 z y x + 16/9 z y x + + 40 3 3 2 14 2 2 2 2 2 2 + - -- z y x + 10/9 y x z + -- y z - 28/9 x y z + 7/3 x y z + 27 27 + + 2 10 3 3 2 + + 5/18 x - 10/9 x z - 2/9 z + 1/6 z + -- y x - 8/27 z y - 1/3 x + 27 + + 2 2 2 35 2 2 3 2 3 2 + - 7/54 y - x z - -- x y z + 2/27 y + 4/3 x z + 2/9 y z + 18 + + 3 2 70 2 35 2 2 2 2 + - 4/9 y x + -- x y z - -- x y + 7/9 x y + 5/6 x z + 1/18 + 27 54 + + 2 2 2 3 2 3 2 3 + - 7/18 y z , COEFF(2, 0, -2) = 7/12 z y x - 7/9 z y x + 4/9 z y x + + 3 2 2 49 2 2 49 2 2 2 + - 1/3 y x z - 7/108 y z + -- x y z - -- x y z - 1/12 x + 1/3 x z + 36 48 + + 2 3 3 2 2 + + 1/36 z - 1/48 z - 1/9 y x + 1/27 z y + 7/48 x + 7/432 y + + 2 2 2 2 3 2 3 2 + + 7/16 x z + 7/12 x y z - 1/108 y - 7/12 x z - 1/36 y z + + 3 2 2 2 49 2 2 2 + + 7/36 y x - 7/9 x y z + 7/36 x y - --- x y - 1/4 x z - 1/144 + 144 + + 2 2 3 2 2 + + 7/144 y z , COEFF(3, 0, -2) = 1/18 y x z + 1/72 x + 1/24 x z + + 2 2 2 2 2 2 3 2 + + 7/54 x y z - 7/216 x y + 1/12 x z - 7/72 x y z - 1/12 z y x + + 3 2 3 3 2 2 2 2 + + 1/9 z y x + 1/54 y x - 2/27 z y x - 1/16 x z + 7/144 x y + + 2 2 2 3 2 2 2 2 + + 7/48 x y z - 1/36 y x - 1/48 x - 7/36 x y z - 1/18 x z, + + 2 3 2 3 2 2 2 + COEFF(-2, 1, -2) = - 1/12 z y x + 1/9 z y x + 1/24 x y z + + 3 3 2 2 2 2 2 + - 4/27 z y x + 1/9 y x z - 1/18 x y z - 5/108 y z - 5/36 x y z + + 2 2 2 3 3 2 + + 5/48 x y z - 1/54 y z + 1/216 y + 1/27 y x + 1/27 z y + 5/432 y + + 2 2 3 3 2 3 2 + - 5/36 x y z - 1/108 y - 1/36 y z - 1/36 y x + 2/27 x y z + + 2 2 2 2 + + 5/27 x y z - 1/18 x y z - 5/108 x y - 1/54 x y + 1/72 x y + + 2 2 2 2 2 2 3 2 + + 5/144 x y + 1/72 y z + 5/144 y z , COEFF(-1, 1, -2) = 7/12 z y x + + 3 2 2 2 3 3 2 2 + - 7/9 z y x - 7/24 x y z + 10/9 z y x - 5/6 y x z + 7/18 x y z + + 10 2 35 2 2 35 2 2 2 3 + + -- y z + -- x y z - -- x y z + 4/27 y z - 1/27 y - 5/18 y x + 27 36 48 + + 3 2 25 2 2 3 3 2 3 2 + - 8/27 z y - 5/54 y + -- x y z + 2/27 y + 2/9 y z + 7/36 y x + 24 + + 25 2 2 25 2 2 + - 5/9 x y z - -- x y z + 5/12 x y z + -- x y + 5/36 x y - 7/72 x y + 18 72 + + 35 2 2 2 2 2 2 2 2 + - --- x y - 1/9 y z - 5/18 y z , COEFF(0, 1, -2) = 5/3 x y z + 144 + + 2 14 3 2 3 2 2 28 70 2 + - 7/9 x y z + -- y x - 4/3 z y x - 8/9 x y z + -- x y z + -- x y z + 27 27 27 + + 56 3 2 2 2 2 3 2 3 2 + - -- z y x - 20/9 x y z + 2/3 x y z - 4/9 y x + 14/9 y x z + 27 + + 3 2 35 2 2 35 2 2 2 2 + + 16/9 z y x - -- x y + 2/9 x y - 7/27 x y - -- x y z + 5/9 x y , + 54 18 + + 2 3 2 3 2 2 2 40 3 + COEFF(1, 1, -2) = 4/3 z y x - 16/9 z y x - 2/3 x y z + -- z y x + 27 + + 3 2 2 10 2 2 2 2 2 2 + - 10/9 y x z + 8/9 x y z - -- y z + 20/9 x y z - 5/3 x y z + 27 + + 10 3 3 2 25 2 2 3 + - 4/27 y z + 1/27 y - -- y x + 8/27 z y + 5/54 y + -- x y z - 2/27 y + 27 18 + + 3 2 3 2 20 50 2 2 25 2 + - 2/9 y z + 4/9 y x - -- x y z - -- x y z + 5/9 x y z + -- x y + 27 27 54 + + 2 2 2 2 2 2 + + 5/27 x y - 2/9 x y - 5/9 x y + 1/9 y z + 5/18 y z , COEFF(2, 1, -2) + + 2 3 2 3 2 2 2 3 3 2 + = - 7/12 z y x + 7/9 z y x + 7/24 x y z - 4/9 z y x + 1/3 y x z + + 2 2 35 2 2 35 2 2 2 + - 7/18 x y z + 5/108 y z - -- x y z + -- x y z + 1/54 y z - 1/216 y + 36 48 + + 3 3 2 2 2 3 3 2 + + 1/9 y x - 1/27 z y - 5/432 y - 5/12 x y z + 1/108 y + 1/36 y z + + 3 2 2 2 2 + - 7/36 y x + 2/9 x y z + 5/9 x y z - 1/6 x y z - 5/36 x y - 1/18 x y + + 2 35 2 2 2 2 2 + + 7/72 x y + --- x y - 1/72 y z - 5/144 y z , COEFF(3, 1, -2) = + 144 + + 2 2 3 2 2 2 2 3 + 5/36 x y z - 1/54 y x + 1/36 x y z - 5/48 x y z + 2/27 z y x + + 2 2 2 2 3 2 3 2 2 + - 5/144 x y + 5/72 x y z - 1/18 y x z - 1/9 z y x + 5/216 x y + + 2 2 2 3 2 3 2 + - 5/54 x y z + 1/18 x y z - 1/27 x y z + 1/12 z y x + 1/36 y x + + 2 2 2 2 3 2 + + 1/108 x y - 1/72 x y - 1/24 x y z , COEFF(-2, 2, -2) = 7/192 z y x + + 3 2 2 2 3 3 2 + - 7/144 z y x - 1/192 x y z + 7/108 z y x - 7/144 y x z + + 2 2 2 2 2 2 2 + + 1/144 x y z + 1/72 y z + 1/24 x y z - 1/32 x y z + 1/432 y z + + 3 3 2 2 2 3 + - 1/1728 y - 7/432 y x - 7/432 z y - 1/288 y + 1/24 x y z + 7/1728 y + + 3 2 3 2 2 2 + + 7/576 y z + 7/576 y x - 1/108 x y z - 1/18 x y z + 1/144 x y z + + 2 2 2 2 2 + + 1/72 x y + 1/432 x y - 1/576 x y - 1/96 x y - 1/576 y z + + 2 2 49 2 3 2 49 3 2 + - 1/96 y z , COEFF(-1, 2, -2) = - --- z y x + --- z y x + 192 144 + + 2 2 35 3 35 3 2 2 2 + + 7/192 x y z - -- z y x + -- y x z - 7/144 x y z - 1/9 y z + 72 96 + + 2 2 2 2 2 35 3 3 + - 7/24 x y z + 7/32 x y z - 1/54 y z + 1/216 y + --- y x + 7/54 z y + 288 + + 2 2 2 3 3 2 49 3 2 + + 1/36 y - 5/16 x y z - 7/216 y - 7/72 y z - --- y x + 5/72 x y z + 576 + + 2 2 2 2 + + 5/12 x y z - 5/96 x y z - 5/48 x y - 5/288 x y + 7/576 x y + + 2 2 2 2 2 49 3 + + 7/96 x y + 1/72 y z + 1/12 y z , COEFF(0, 2, -2) = -- z y x + 54 + + 2 2 3 2 2 2 2 2 2 + + 7/12 x y z - 7/9 z y x - 7/54 x y z - 1/2 x y z + 2/3 x y z + + 2 2 49 3 2 2 + + 7/36 x y + 7/216 x y + 7/72 x y z - -- y x z - 1/36 x y + 72 + + 2 2 2 2 3 2 49 3 + - 1/12 x y z - 7/9 x y z + 1/9 x y z + 7/36 y x - --- y x + 216 + + 2 3 2 2 2 2 3 2 + + 7/12 z y x - 1/6 x y , COEFF(1, 2, -2) = - 7/12 z y x + + 3 2 2 2 35 3 35 3 2 2 + + 7/9 z y x + 1/12 x y z - -- z y x + -- y x z - 1/9 x y z + 54 72 + + 2 2 2 2 2 2 35 3 + + 1/9 y z - 2/3 x y z + 1/2 x y z + 1/54 y z - 1/216 y + --- y x + 216 + + 3 2 2 2 3 3 2 3 2 + - 7/54 z y - 1/36 y - 5/12 x y z + 7/216 y + 7/72 y z - 7/36 y x + + 2 2 2 + + 5/54 x y z + 5/9 x y z - 5/72 x y z - 5/36 x y - 5/216 x y + + 2 2 2 2 2 2 + + 1/36 x y + 1/6 x y - 1/72 y z - 1/12 y z , COEFF(2, 2, -2) = + + 49 2 3 2 49 3 2 2 2 3 3 2 + --- z y x - --- z y x - 7/192 x y z + 7/36 z y x - 7/48 y x z + 192 144 + + 2 2 2 2 2 2 2 + + 7/144 x y z - 1/72 y z + 7/24 x y z - 7/32 x y z - 1/432 y z + + 3 3 2 2 2 3 + + 1/1728 y - 7/144 y x + 7/432 z y + 1/288 y + 1/8 x y z - 7/1728 y + + 3 2 49 3 2 2 2 + - 7/576 y z + --- y x - 1/36 x y z - 1/6 x y z + 1/48 x y z + 576 + + 2 2 2 2 2 + + 1/24 x y + 1/144 x y - 7/576 x y - 7/96 x y + 1/576 y z + + 2 2 2 2 2 2 + + 1/96 y z , COEFF(3, 2, -2) = - 1/864 x y - 1/24 x y z - 1/48 x y z + + 2 2 3 2 3 2 3 2 + + 1/192 x y z - 7/216 z y x - 7/192 z y x + 7/288 y x z + + 3 2 2 2 3 2 + - 7/576 y x - 1/144 x y z + 1/36 x y z + 1/216 x y z + 7/144 z y x + + 2 2 2 2 2 2 3 2 + + 1/32 x y z + 1/96 x y + 1/576 x y + 7/864 y x - 1/144 x y + + 2 3 2 + - 1/288 x y z , COEFF(-2, 3, -2) = - 1/108 z y x - 1/432 y z + + 2 2 3 3 2 2 2 2 + - 1/144 x y z + 1/432 z y - 1/576 y z - 1/432 x y - 1/144 x y z + + 3 3 2 3 2 3 2 2 2 + - 1/1728 y + 1/144 y x z + 1/144 z y x + 1/432 y x + 1/192 x y z + + 3 2 2 2 2 2 2 2 + - 1/576 y x + 1/576 x y + 1/1728 y + 1/576 y z + 1/108 x y z + + 2 3 2 3 2 3 + - 1/192 z y x , COEFF(-1, 3, -2) = 5/72 z y x - 1/216 y - 1/54 z y + + 3 2 2 2 3 2 2 2 2 + - 5/96 y x z + 5/96 x y z + 1/72 y z - 5/72 x y z + 7/144 x y z + + 2 2 2 2 3 2 3 3 2 + - 7/192 x y z + 7/192 z y x - 5/288 y x - 7/144 z y x + + 2 2 3 2 2 2 2 3 + - 7/576 x y + 7/576 y x + 5/288 x y - 1/72 y z + 1/216 y + + 2 3 2 2 3 2 + + 1/54 y z, COEFF(0, 3, -2) = - 7/54 z y x - 7/72 x y z + 7/72 y x z + + 2 2 3 2 2 2 3 2 + - 1/9 x y z + 7/216 y x + 1/36 x y - 7/216 x y + 1/9 z y x + + 3 2 2 3 2 2 2 2 2 + - 1/36 y x - 1/12 z y x + 7/54 x y z + 1/12 x y z , + + 2 2 3 2 2 2 + COEFF(1, 3, -2) = - 1/54 y z + 5/216 x y - 5/72 y x z + 1/72 y z + + 3 2 3 2 3 3 2 2 + + 5/54 z y x + 1/12 z y x + 1/54 z y - 5/216 y x - 1/36 x y + + 3 2 2 2 2 2 2 2 3 + - 1/9 z y x + 5/72 x y z + 1/216 y - 1/12 x y z - 1/216 y + + 3 2 3 2 2 2 2 + + 1/36 y x - 1/72 y z + 1/9 x y z - 5/54 x y z, COEFF(2, 3, -2) = + + 2 2 2 2 2 2 3 2 3 + 1/36 x y z - 7/144 x y z + 7/192 x y z + 1/48 y x z - 1/36 z y x + + 3 3 3 2 2 3 2 3 2 + - 1/432 z y + 1/144 y x - 7/576 y x - 7/192 z y x + 1/576 y z + + 2 2 2 2 2 2 2 3 2 + - 1/144 x y - 1/48 x y z - 1/576 y z + 7/576 x y + 7/144 z y x + + 2 3 2 2 + - 1/1728 y + 1/1728 y + 1/432 y z, COEFF(3, 3, -2) = 1/864 x y + + 2 2 2 2 2 2 2 3 2 + - 1/216 x y z + 1/144 x y z + 1/288 x y z - 1/576 x y + 1/576 y x + + 3 2 2 2 3 2 3 + + 1/216 z y x - 1/192 x y z - 1/144 z y x - 1/864 y x + + 3 2 2 3 2 2 3 2 + - 1/288 y x z + 1/192 z y x , COEFF(-2, -2, -1) = - 7/192 z y x + + 3 2 2 2 3 3 2 2 + + 5/96 z y x - 7/192 x y z - 5/72 z y x + 7/144 y x z + 5/96 x y z + + 2 2 2 2 2 2 + - 5/144 y z - 5/48 x y z + 7/96 x y z + 5/288 y z - 1/216 y + + 3 3 2 2 2 3 + + 1/54 y x + 5/288 z y + 1/108 y - 7/72 x y z - 1/216 y + + 3 2 3 2 2 2 + - 7/576 y z - 1/72 y x - 5/72 x y z + 5/36 x y z + 7/144 x y z + + 2 2 2 2 2 2 2 + - 1/27 x y + 1/54 x y - 1/72 x y + 1/36 x y - 7/576 y z + 7/288 y z + + 49 2 3 2 35 3 2 49 2 2 25 3 + , COEFF(-1, -2, -1) = --- z y x - -- z y x + --- x y z + -- z y x + 192 96 192 48 + + 35 3 2 35 2 2 35 2 2 49 2 2 2 + - -- y x z - -- x y z + 5/18 y z + -- x y z - -- x y z - 5/36 y z + 96 96 48 96 + + 3 3 2 35 2 2 3 + + 1/27 y - 5/36 y x - 5/36 z y - 2/27 y + -- x y z + 1/27 y + 48 + + 3 2 3 2 25 25 2 35 2 2 + + 7/72 y z + 7/72 y x + -- x y z - -- x y z - -- x y z + 5/18 x y + 48 24 96 + + 2 2 2 2 2 2 + - 5/36 x y + 7/72 x y - 7/36 x y + 7/72 y z - 7/36 y z , + + 35 3 2 2 14 2 35 2 + COEFF(0, -2, -1) = - -- x y z - 2/9 y x - 2/9 x y - -- x y + -- x y z + 36 27 18 + + 2 2 49 3 2 3 2 35 3 + - 5/3 x y z + 7/27 x y + -- y x z + 5/6 z y x - -- z y x + 72 36 + + 3 2 2 49 2 2 2 2 2 2 + + 7/27 y x - 7/12 x y z - -- x y z + 5/6 x y z + 7/6 x y z + 36 + + 2 3 2 49 2 2 2 2 3 2 + - 7/12 z y x + -- x y z + 4/9 x y , COEFF(1, -2, -1) = 7/12 z y x + 72 + + 3 2 2 2 25 3 35 3 2 2 + - 5/6 z y x + 7/12 x y z + -- z y x - -- y x z - 5/6 x y z + 36 72 + + 2 2 2 2 2 2 3 + - 5/18 y z + 5/3 x y z - 7/6 x y z + 5/36 y z - 1/27 y - 5/27 y x + + 3 2 35 2 2 3 3 2 3 2 + + 5/36 z y + 2/27 y + -- x y z - 1/27 y - 7/72 y z + 2/9 y x + 36 + + 25 25 2 35 2 10 2 2 + + -- x y z - -- x y z - -- x y z + -- x y - 5/27 x y + 2/9 x y + 36 18 72 27 + + 2 2 2 2 2 49 2 3 2 + - 4/9 x y - 7/72 y z + 7/36 y z , COEFF(2, -2, -1) = - --- z y x + 192 + + 35 3 2 49 2 2 3 3 2 35 2 + + -- z y x - --- x y z - 5/24 z y x + 7/48 y x z + -- x y z + 96 192 96 + + 2 35 2 2 49 2 2 2 3 + + 5/144 y z - -- x y z + -- x y z - 5/288 y z + 1/216 y + 1/18 y x + 48 96 + + 3 2 2 2 3 3 2 + - 5/288 z y - 1/108 y - 7/24 x y z + 1/216 y + 7/576 y z + + 3 2 2 2 2 + - 7/72 y x - 5/24 x y z + 5/12 x y z + 7/48 x y z - 1/9 x y + + 2 2 2 2 2 2 + + 1/18 x y - 7/72 x y + 7/36 x y + 7/576 y z - 7/288 y z , + + 2 3 2 2 3 2 + COEFF(3, -2, -1) = 7/192 z y x - 5/72 x y z - 7/288 y x z + + 2 2 2 3 2 2 2 + + 7/144 x y z + 1/72 x y + 5/144 z y x - 5/96 x y z + 5/48 x y z + + 2 2 3 2 2 + + 5/144 x y z - 1/36 x y - 1/108 x y - 1/108 y x + 7/192 x y z + + 2 2 2 2 3 2 2 3 2 + - 7/96 x y z - 7/288 x y z + 1/72 y x + 1/54 x y - 5/96 z y x , + + 49 2 3 2 35 3 2 2 2 35 3 + COEFF(-2, -1, -1) = --- z y x - -- z y x + 7/24 x y z + -- z y x + 192 96 72 + + 49 3 2 2 25 2 25 2 2 35 2 2 2 + - --- y x z - 5/12 x y z + -- y z + -- x y z - -- x y z + 144 96 32 64 + + 3 35 3 2 35 2 2 + - 5/36 y z + 1/27 y - 7/54 y x - --- z y - 5/72 y + -- x y z + 288 48 + + 3 49 3 2 3 2 25 2 2 + + 7/216 y + --- y z + 7/72 y x + 5/9 x y z - -- x y z - 7/18 x y z + 576 24 + + 2 2 2 2 2 35 2 2 + + 5/18 x y - 4/27 x y + 1/9 x y - 5/24 x y + 7/72 y z - --- y z , + 192 + + 343 2 3 2 245 3 2 49 2 2 175 3 + COEFF(-1, -1, -1) = - --- z y x + --- z y x - -- x y z - --- z y x + 192 96 24 48 + + 245 3 2 35 2 25 2 175 2 2 245 2 2 2 + + --- y x z + -- x y z - -- y z - --- x y z + --- x y z + 96 12 12 32 64 + + 35 3 35 3 2 175 2 2 3 + + 10/9 y z - 8/27 y + -- y x + -- z y + 5/9 y - --- x y z - 7/27 y + 36 36 32 + + 49 3 2 49 3 2 125 2 35 2 25 2 + - -- y z - -- y x - 25/6 x y z + --- x y z + -- x y z - -- x y + 72 72 16 12 12 + + 2 35 2 2 2 35 2 2 + + 10/9 x y - 7/9 x y + -- x y - 7/9 y z + -- y z , COEFF(0, -1, -1) + 24 24 + + 2 2 2 245 2 2 49 2 3 2 + = 16/9 x y - 49/9 x y z - 20/3 x y z + --- x y z + -- z y x + 24 12 + + 2 175 2 2 2 245 3 2 2 2 + + 35/9 x y - --- x y z + 14/3 x y z + --- z y x - 35/4 x y z + 12 36 + + 3 2 2 2 56 49 3 343 3 2 + + 14/9 y x + 70/9 x y z - 10/3 x y - -- x y - -- y x - --- y x z + 27 27 72 + + 3 2 2 2 49 2 3 2 + - 35/6 z y x + 25/2 x y z, COEFF(1, -1, -1) = - -- z y x + 12 + + 3 2 2 2 175 3 245 3 2 2 + + 35/6 z y x - 14/3 x y z - --- z y x + --- y x z + 20/3 x y z + 36 72 + + 25 2 2 2 2 2 2 35 3 + + -- y z - 25/2 x y z + 35/4 x y z - 10/9 y z + 8/27 y + -- y x + 12 27 + + 35 3 2 175 2 2 3 49 3 2 3 2 + - -- z y - 5/9 y - --- x y z + 7/27 y + -- y z - 14/9 y x + 36 24 72 + + 125 2 2 2 40 2 + - 50/9 x y z + --- x y z + 35/9 x y z - 25/9 x y + -- x y - 16/9 x y + 12 27 + + 2 2 2 35 2 2 343 2 3 2 + + 10/3 x y + 7/9 y z - -- y z , COEFF(2, -1, -1) = --- z y x + 24 192 + + 245 3 2 49 2 2 35 3 49 3 2 35 2 25 2 + - --- z y x + -- x y z + -- z y x - -- y x z - -- x y z - -- y z + 96 24 24 48 12 96 + + 175 2 2 245 2 2 2 3 35 3 + + --- x y z - --- x y z + 5/36 y z - 1/27 y - 7/18 y x + --- z y + 32 64 288 + + 2 35 2 2 3 49 3 2 49 3 2 + + 5/72 y + -- x y z - 7/216 y - --- y z + -- y x + 5/3 x y z + 16 576 72 + + 2 2 2 2 35 2 2 + - 25/8 x y z - 7/6 x y z + 5/6 x y - 4/9 x y + 7/9 x y - -- x y + 24 + + 2 35 2 2 25 2 3 2 + - 7/72 y z + --- y z , COEFF(3, -1, -1) = -- x y z - 7/72 y x + 192 48 + + 35 3 2 2 49 2 3 2 35 3 + + -- z y x + 5/12 x y z - --- z y x - 5/18 x y z - --- z y x + 96 192 144 + + 25 2 2 2 2 2 2 3 + - -- x y z - 1/9 x y + 7/36 x y z + 5/24 x y + 7/108 y x + 32 + + 2 2 2 49 3 2 35 2 2 + - 7/24 x y z - 5/36 x y + 2/27 x y + --- y x z - -- x y z + 288 96 + + 35 2 2 2 2 3 2 3 2 + + -- x y z , COEFF(-2, 0, -1) = - 7/12 z y x + 5/6 z y x + 64 + + 3 3 2 35 2 35 2 2 49 2 2 2 + - 10/9 z y x + 7/9 y x z - -- y z - -- x y z + -- x y z + 2/9 x + 72 24 48 + + 2 3 3 2 2 + - 5/6 x z + 5/24 z - 7/48 z + 8/27 y x + 5/18 z y - 1/6 x + 7/54 y + + 2 2 49 2 2 3 2 3 2 3 2 + - 7/16 x z - -- x y z - 2/27 y + 5/8 x z - 7/36 y z - 2/9 y x + 36 + + 35 2 14 2 2 2 2 49 2 2 + + -- x y z - -- x y + 7/18 x y + 7/12 x z - 1/18 + --- y z , + 18 27 144 + + 49 2 3 2 3 2 3 3 2 + COEFF(-1, 0, -1) = -- z y x - 35/6 z y x + 25/3 z y x - 35/6 y x z + 12 + + 2 245 2 2 343 2 2 2 + + 35/9 y z + --- x y z - --- x y z - 5/3 x + 25/4 x z - 5/3 z + 24 48 + + 2 3 3 2 28 2 49 2 2 245 2 2 + + 7/6 z - 20/9 y x - 20/9 z y + 7/6 x - -- y + -- x z + --- x y z + 27 16 24 + + 16 3 2 3 2 3 2 175 2 2 + + -- y - 35/8 x z + 14/9 y z + 14/9 y x - --- x y z + 35/9 x y + 27 12 + + 49 2 2 2 49 2 2 196 2 + - -- x y - 35/8 x z + 4/9 - -- y z , COEFF(0, 0, -1) = - --- x y + 18 18 27 + + 2 2 2 2 343 2 2 3 2 + + 10 x z - 70/3 x y z + 245/9 x y z - --- x y z - 32/9 y x + 18 + + 2 3 2 2 2 2 2 3 2 + - 8/3 x + 40/3 z y x + 49/3 x y z + 28/9 x - 28/3 z y x + + 3 3 2 112 3 2 2 2 2 + - 140/9 z y x + 98/9 y x z + --- y x - 7 x z + 56/9 x y - 35/3 x z + 27 + + 2 2 3 2 3 2 3 + + 49/6 x z , COEFF(1, 0, -1) = 28/3 z y x - 40/3 z y x + 100/9 z y x + + 3 2 2 2 2 2 2 2 + - 70/9 y x z - 35/9 y z + 70/3 x y z - 49/3 x y z - 20/9 x + + 2 80 3 3 2 28 2 + + 25/3 x z + 5/3 z - 7/6 z - -- y x + 20/9 z y + 8/3 x + -- y + 27 27 + + 2 2 245 2 2 16 3 2 3 2 3 2 + + 7 x z + --- x y z - -- y - 10 x z - 14/9 y z + 32/9 y x + 18 27 + + 2 140 2 2 2 2 49 2 2 + - 175/9 x y z + --- x y - 56/9 x y - 35/6 x z - 4/9 + -- y z , + 27 18 + + 49 2 3 2 3 2 3 3 2 + COEFF(2, 0, -1) = - -- z y x + 35/6 z y x - 10/3 z y x + 7/3 y x z + 12 + + 35 2 245 2 2 343 2 2 2 + + -- y z - --- x y z + --- x y z + 2/3 x - 5/2 x z - 5/24 z + 72 24 48 + + 2 3 3 2 2 49 2 2 + + 7/48 z + 8/9 y x - 5/18 z y - 7/6 x - 7/54 y - -- x z + 16 + + 49 2 2 3 2 3 2 3 2 2 + - -- x y z + 2/27 y + 35/8 x z + 7/36 y z - 14/9 y x + 35/6 x y z + 12 + + 2 49 2 2 2 49 2 2 + - 14/9 x y + -- x y + 7/4 x z + 1/18 - --- y z , COEFF(3, 0, -1) = + 18 144 + + 35 2 2 3 2 49 2 2 2 3 2 + -- x y z + 5/9 z y x + 5/12 x z - 5/8 x z - -- x y z - 7/18 y x z + 24 48 + + 49 2 2 2 2 2 2 2 + + -- x y z + 1/6 x + 7/27 x y + 7/16 x z - 7/24 x z - 1/9 x + 72 + + 2 2 35 2 3 3 2 2 3 2 + - 7/18 x y - -- x y z - 4/27 y x - 5/6 z y x + 7/12 z y x + 36 + + 3 2 2 3 2 3 2 2 2 + + 2/9 y x , COEFF(-2, 1, -1) = 7/12 z y x - 5/6 z y x - 7/24 x y z + + 3 3 2 2 25 2 25 2 2 + + 10/9 z y x - 7/9 y x z + 5/12 x y z + -- y z + -- x y z + 72 24 + + 35 2 2 2 3 3 2 + - -- x y z + 5/36 y z - 1/27 y - 8/27 y x - 5/18 z y - 5/54 y + 48 + + 35 2 2 3 3 2 3 2 25 2 + + -- x y z + 2/27 y + 7/36 y z + 2/9 y x - 5/9 x y z - -- x y z + 36 18 + + 2 10 2 2 2 2 2 + + 7/18 x y z + -- x y + 4/27 x y - 1/9 x y - 5/18 x y - 7/72 y z + 27 + + 35 2 2 49 2 3 2 3 2 49 2 2 + - --- y z , COEFF(-1, 1, -1) = - -- z y x + 35/6 z y x + -- x y z + 144 12 24 + + 3 3 2 35 2 2 175 2 2 + - 25/3 z y x + 35/6 y x z - -- x y z - 25/9 y z - --- x y z + 12 24 + + 245 2 2 2 3 3 20 2 + + --- x y z - 10/9 y z + 8/27 y + 20/9 y x + 20/9 z y + -- y + 48 27 + + 175 2 2 16 3 3 2 3 2 125 2 + - --- x y z - -- y - 14/9 y z - 14/9 y x + 25/6 x y z + --- x y z + 24 27 12 + + 35 2 2 2 35 2 2 2 + - -- x y z - 25/9 x y - 10/9 x y + 7/9 x y + -- x y + 7/9 y z + 12 18 + + 35 2 2 3 245 2 2 3 2 + + -- y z , COEFF(0, 1, -1) = 140/9 z y x + --- x y z + 32/9 y x + 18 18 + + 2 2 2 3 2 112 3 2 + + 20/3 x y z + 50/3 x y z - 40/3 z y x - --- y x + 49/9 x y z + 27 + + 2 2 2 2 56 2 2 + - 16/9 x y - 70/9 x y z - 35/3 x y z + -- x y - 14/3 x y z + 27 + + 140 2 2 2 2 3 2 2 3 2 + + --- x y - 40/9 x y + 28/3 z y x - 175/9 x y z - 98/9 y x z , + 27 + + 2 3 2 3 2 2 2 + COEFF(1, 1, -1) = - 28/3 z y x + 40/3 z y x + 14/3 x y z + + 3 3 2 2 2 2 2 + - 100/9 z y x + 70/9 y x z - 20/3 x y z + 25/9 y z - 50/3 x y z + + 2 2 2 80 3 3 20 2 + + 35/3 x y z + 10/9 y z - 8/27 y + -- y x - 20/9 z y - -- y + 27 27 + + 175 2 2 16 3 3 2 3 2 + - --- x y z + -- y + 14/9 y z - 32/9 y x + 50/9 x y z + 18 27 + + 2 2 100 2 40 2 2 2 + + 125/9 x y z - 35/9 x y z - --- x y - -- x y + 16/9 x y + 40/9 x y + 27 27 + + 2 35 2 2 49 2 3 2 3 2 + - 7/9 y z - -- y z , COEFF(2, 1, -1) = -- z y x - 35/6 z y x + 18 12 + + 49 2 2 3 3 2 35 2 25 2 + - -- x y z + 10/3 z y x - 7/3 y x z + -- x y z - -- y z + 24 12 72 + + 175 2 2 245 2 2 2 3 3 + + --- x y z - --- x y z - 5/36 y z + 1/27 y - 8/9 y x + 5/18 z y + 24 48 + + 2 35 2 2 3 3 2 3 2 + + 5/54 y + -- x y z - 2/27 y - 7/36 y z + 14/9 y x - 5/3 x y z + 12 + + 2 2 2 2 35 2 2 + - 25/6 x y z + 7/6 x y z + 10/9 x y + 4/9 x y - 7/9 x y - -- x y + 18 + + 2 35 2 2 35 2 2 2 + + 7/72 y z + --- y z , COEFF(3, 1, -1) = -- x y z + 5/18 x y z + 144 48 + + 2 2 2 25 2 2 3 2 3 + + 5/18 x y + 1/9 x y - -- x y z + 5/6 z y x + 4/27 y x + 24 + + 2 2 35 2 2 2 3 2 + - 7/36 x y z - 5/27 x y - -- x y z - 5/12 x y z + 7/18 y x z + 72 + + 25 2 2 3 2 3 2 3 + + -- x y z - 7/12 z y x - 2/27 x y - 2/9 y x - 5/9 z y x + 36 + + 2 2 49 2 3 2 35 3 2 + + 7/24 x y z , COEFF(-2, 2, -1) = - --- z y x + -- z y x + 192 96 + + 2 2 35 3 49 3 2 2 2 + + 7/192 x y z - -- z y x + --- y x z - 5/96 x y z - 5/48 y z + 72 144 + + 2 2 2 2 2 3 + - 5/16 x y z + 7/32 x y z - 5/288 y z + 1/216 y + 7/54 y x + + 35 3 2 2 2 3 49 3 2 3 2 + + --- z y + 1/36 y - 7/24 x y z - 7/216 y - --- y z - 7/72 y x + 288 576 + + 2 2 2 + + 5/72 x y z + 5/12 x y z - 7/144 x y z - 1/9 x y - 1/54 x y + + 2 2 2 2 2 2 + + 1/72 x y + 1/12 x y + 7/576 y z + 7/96 y z , COEFF(-1, 2, -1) = + + 343 2 3 2 245 3 2 49 2 2 175 3 245 3 2 + --- z y x - --- z y x - --- x y z + --- z y x - --- y x z + 192 96 192 48 96 + + 35 2 2 35 2 2 49 2 2 2 + + -- x y z + 5/6 y z + -- x y z - -- x y z + 5/36 y z - 1/27 y + 96 16 32 + + 35 3 35 3 2 35 2 2 3 49 3 2 49 3 2 + - -- y x - -- z y - 2/9 y + -- x y z + 7/27 y + -- y z + -- y x + 36 36 16 72 72 + + 25 2 35 2 2 2 + - -- x y z - 25/8 x y z + -- x y z + 5/6 x y + 5/36 x y - 7/72 x y + 48 96 + + 2 2 2 2 2 2 2 + - 7/12 x y - 7/72 y z - 7/12 y z , COEFF(0, 2, -1) = 4/3 x y + + 2 2 3 2 2 2 35 + + 7/12 x y z + 35/6 z y x - 14/9 x y - 5/6 x y z + -- x y z + 36 + + 3 2 2 2 2 49 3 49 2 2 49 2 2 + - 14/9 y x + 7/2 x y z + -- y x - -- x y z + 2/9 x y - -- x y z + 27 72 12 + + 343 3 2 245 3 2 49 2 3 2 + - 7/27 x y + --- y x z - --- z y x + 35/6 x y z - -- z y x + 72 36 12 + + 2 2 49 2 3 2 3 2 2 2 + - 5 x y z, COEFF(1, 2, -1) = -- z y x - 35/6 z y x - 7/12 x y z + 12 + + 175 3 245 3 2 2 2 2 2 + + --- z y x - --- y x z + 5/6 x y z - 5/6 y z + 5 x y z + 36 72 + + 2 2 2 35 3 35 3 2 + - 7/2 x y z - 5/36 y z + 1/27 y - -- y x + -- z y + 2/9 y + 27 36 + + 35 2 2 3 49 3 2 3 2 25 2 + + -- x y z - 7/27 y - -- y z + 14/9 y x - -- x y z - 25/6 x y z + 12 72 36 + + 35 2 2 2 2 2 2 + + -- x y z + 10/9 x y + 5/27 x y - 2/9 x y - 4/3 x y + 7/72 y z + 72 + + 2 2 343 2 3 2 245 3 2 49 2 2 + + 7/12 y z , COEFF(2, 2, -1) = - --- z y x + --- z y x + --- x y z + 192 96 192 + + 35 3 49 3 2 35 2 2 35 2 2 + - -- z y x + -- y x z - -- x y z + 5/48 y z - -- x y z + 24 48 96 16 + + 49 2 2 2 3 35 3 2 + + -- x y z + 5/288 y z - 1/216 y + 7/18 y x - --- z y - 1/36 y + 32 288 + + 2 2 3 49 3 2 49 3 2 2 + - 7/8 x y z + 7/216 y + --- y z - -- y x + 5/24 x y z + 5/4 x y z + 576 72 + + 2 2 2 2 2 2 + - 7/48 x y z - 1/3 x y - 1/18 x y + 7/72 x y + 7/12 x y - 7/576 y z + + 2 2 2 49 3 2 35 3 2 + - 7/96 y z , COEFF(3, 2, -1) = - 5/24 x y z - --- y x z - -- z y x + 288 96 + + 2 3 2 2 2 3 2 2 2 + + 7/288 x y z - 7/108 y x - 7/32 x y z + 7/72 y x - 7/192 x y z + + 35 3 2 49 2 3 2 2 2 + + --- z y x + 5/96 x y z + 1/108 x y + --- z y x + 5/16 x y z + 144 192 + + 2 2 2 2 2 2 + - 1/12 x y - 5/144 x y z - 1/72 x y + 1/18 x y + 7/48 x y z , + + 2 2 3 2 3 2 + COEFF(-2, 3, -1) = 7/144 x y z + 7/576 y z + 5/72 z y x + 5/288 y z + + 2 2 2 3 2 3 2 2 2 + - 5/72 x y z - 7/576 y z + 1/216 y + 7/192 z y x - 1/72 x y + + 2 2 2 2 2 3 2 3 3 + - 7/192 x y z + 5/96 x y z - 5/96 z y x - 1/54 y x - 5/288 z y + + 3 2 2 3 2 2 + + 1/72 y x + 1/54 x y - 7/144 y x z - 1/216 y , COEFF(-1, 3, -1) = + + 35 2 2 25 3 49 2 3 2 3 2 3 2 3 + - -- x y z - -- z y x - --- z y x - 7/72 y z - 7/72 y x - 1/27 y + 96 48 192 + + 25 2 2 35 3 2 35 3 2 2 2 3 + + -- x y z - 5/36 y z + -- y x z + -- z y x + 7/72 x y + 5/36 z y + 48 96 96 + + 49 2 2 2 35 2 2 2 2 3 2 2 + + --- x y z - -- x y z + 7/72 y z + 5/36 y x + 1/27 y - 5/36 x y + 192 96 + + 2 2 2 49 2 2 3 2 2 2 + , COEFF(0, 3, -1) = - 7/12 x y z + -- x y z + 2/9 y x + 5/6 x y z + 72 + + 3 35 2 35 3 2 2 3 2 + - 7/27 y x - -- x y z + -- z y x - 2/9 x y - 5/6 z y x + 36 36 + + 2 3 2 49 3 2 2 3 2 + + 7/12 z y x - -- y x z + 7/27 x y , COEFF(1, 3, -1) = 5/6 z y x + 72 + + 2 2 2 25 3 2 35 2 2 2 + - 5/27 x y - 5/6 x y z - -- z y x + 5/36 y z - -- x y z - 1/27 y + 36 72 + + 3 3 2 35 3 2 3 2 3 2 + + 1/27 y + 7/72 y z + -- y x z + 5/27 y x - 7/12 z y x + 72 + + 3 25 2 2 2 2 2 2 3 2 + - 5/36 z y + -- x y z + 7/12 x y z + 2/9 x y - 2/9 y x + 36 + + 2 2 2 2 49 2 2 2 3 + - 7/72 y z , COEFF(2, 3, -1) = - 7/72 x y - --- x y z - 1/18 y x + 192 + + 3 3 3 35 2 2 2 + + 5/288 z y + 5/24 z y x - 1/216 y + -- x y z + 1/216 y + 96 + + 3 2 2 2 2 2 3 2 + - 7/48 y x z + 1/18 x y - 5/288 y z + 7/576 y z + 7/72 y x + + 49 2 3 2 2 35 3 2 2 2 3 2 + + --- z y x - 5/24 x y z - -- z y x + 7/48 x y z - 7/576 y z , + 192 96 + + 2 2 2 2 2 2 3 2 + COEFF(3, 3, -1) = 7/192 x y z - 7/288 x y z - 7/192 z y x + + 3 3 2 2 2 2 + - 5/144 z y x + 1/108 y x + 5/144 x y z - 5/96 x y z - 1/108 x y + + 3 2 2 2 3 2 3 2 + + 5/96 z y x + 1/72 x y - 1/72 y x + 7/288 y x z , COEFF(-2, -2, 0) + + 3 2 2 2 2 2 3 2 + = - 1/9 y x z + 1/12 x y z + 7/36 x y z - 7/216 y z + 1/36 y z + + 3 2 2 2 2 + - 7/72 z y x - 7/27 x y z + 7/54 x y z + 7/108 y z + 1/36 y z + + 2 2 2 2 2 2 3 2 + - 1/6 x y z - 7/72 x y z - 1/18 y z - 7/216 z y - 1/9 x y z + + 2 3 2 3 2 2 + + 1/12 z y x + 7/54 z y x + 2/9 x y z , COEFF(-1, -2, 0) = + + 2 2 49 2 2 2 2 2 49 2 14 2 2 + - 5/3 x y z - -- x y z + 7/6 x y z + -- x y z - -- y z - 2/9 y z + 36 72 27 + + 35 35 2 49 3 2 2 3 2 + - -- x y z + -- x y z + -- z y x + 5/6 x y z - 2/9 y z + 36 18 72 + + 2 2 35 3 3 2 2 3 2 3 + - 7/12 x y z - -- z y x + 5/6 y x z - 7/12 z y x + 7/27 z y + 36 + + 2 2 49 2 3 2 + + 7/27 y z + 4/9 y z , COEFF(0, -2, 0) = -- x y z + 4/3 z y x + 27 + + 2 2 2 3 2 2 2 2 98 2 + + 28/9 x y z - 14/9 x y z - 14/9 y x z - 8/3 x y z - -- x y z + 27 + + 2 2 2 2 3 2 49 3 2 + + 28/9 x y z + 4/3 x y z - 14/9 z y x + -- z y x - 14/9 x y z , + 27 + + 70 2 2 2 2 2 2 2 + COEFF(1, -2, 0) = -- x y z - 20/9 x y z - 4/3 x y z - 4/9 y z + 27 + + 3 2 2 35 2 3 2 2 3 + + 2/9 y z + 2/9 y z - -- x y z - 4/3 z y x + 14/9 x y z - 7/27 z y + 27 + + 3 2 2 2 3 2 2 2 2 + + 10/9 y x z - 28/9 x y z + 14/9 z y x + 8/3 x y z - 7/27 y z + + 2 35 3 14 2 + + 10/9 x y z - -- z y x + -- y z, COEFF(2, -2, 0) = 7/216 y z + 27 27 + + 2 3 2 2 49 3 2 49 2 2 2 2 + + 7/12 z y x - 1/3 x y z - -- z y x + -- x y z + 1/18 y z + 72 36 + + 2 2 3 2 2 3 3 + + 2/3 x y z - 1/3 y x z - 7/108 y z + 7/18 z y x + 7/216 z y + + 3 2 2 2 2 2 2 49 2 + - 1/36 y z - 7/6 x y z + 7/12 x y z + 7/18 x y z - -- x y z + 72 + + 2 2 3 2 2 + - 1/36 y z - 7/9 x y z, COEFF(3, -2, 0) = - 7/108 z y x - 7/36 x y z + + 2 2 3 2 2 3 2 2 2 + - 1/9 x y z + 7/72 z y x + 1/18 x y z + 1/18 y x z - 1/12 x y z + + 2 2 2 2 2 2 3 2 + + 7/72 x y z - 7/108 x y z + 1/6 x y z + 7/54 x y z - 1/12 z y x , + + 49 3 2 2 2 2 2 2 + COEFF(-2, -1, 0) = - -- z y x - 2/3 x y z + 5/4 x y z - 2/9 y z + 54 + + 49 3 2 2 2 2 2 2 35 2 + + -- z y x + 5/12 y z + 7/27 y z - 5/3 x y z + 8/9 x y z - -- y z + 72 72 + + 49 3 35 2 2 2 3 2 28 2 + + --- z y - -- x y z - 7/12 z y x - -- x y z + 7/9 x y z + 216 24 27 + + 35 2 3 2 3 2 2 + + -- x y z + 7/9 y x z - 7/36 y z , COEFF(-1, -1, 0) = - 49/9 x y z + 18 + + 175 2 2 2 2 2 245 3 + - --- x y z - 20/3 x y z + 16/9 y z + 25/2 x y z + --- z y x + 12 36 + + 3 2 56 49 2 3 2 2 2 2 + - 35/6 y x z - -- y z + -- z y x + 70/9 x y z - 35/4 x y z + 27 12 + + 3 2 2 2 2 2 343 3 2 2 + + 14/9 y z + 14/3 x y z - 10/3 y z - --- z y x + 35/9 y z + 72 + + 245 2 2 49 3 2 2 392 + + --- x y z - -- z y , COEFF(0, -1, 0) = - 32/3 x y z - --- x y z + 24 27 27 + + 2 2 2 2 2 343 3 2 + - 70/3 x y z + 112/9 x y z - 70/3 x y z - --- z y x + 245/9 x y z + 27 + + 2 2 2 3 2 2 3 2 2 3 2 + + 20 x y z + 98/9 z y x + 112/9 x y z + 98/9 y x z - 28/3 z y x + + 2 2 2 245 3 + , COEFF(1, -1, 0) = - 175/9 x y z + 50/3 x y z + --- z y x + 27 + + 2 2 280 3 2 3 2 49 3 + + 32/3 x y z + --- x y z - 98/9 z y x - 14/9 y z + -- z y + 27 27 + + 3 2 2 3 2 2 2 2 2 2 2 2 + - 70/9 y x z + 28/3 z y x + 70/3 x y z + 10/3 y z - 20 x y z + + 2 2 2 2 56 + - 16/9 y z - 112/9 x y z - 35/9 y z - 80/9 x y z + -- y z, + 27 + + 2 2 343 3 2 2 2 + COEFF(2, -1, 0) = - 28/9 x y z - 5 x y z + --- z y x - 14/3 x y z + 72 + + 2 2 2 49 2 3 2 35 2 2 2 2 + + 35/4 x y z - -- z y x + -- y z + 2/9 y z - 5/12 y z + 12 72 + + 245 2 2 3 2 2 3 2 + - --- x y z + 7/36 y z - 7/27 y z + 49/9 x y z + 7/3 y x z + 24 + + 2 49 3 2 49 3 + + 35/6 x y z - -- z y x + 8/3 x y z - --- z y , COEFF(3, -1, 0) = + 18 216 + + 2 2 2 14 2 3 2 + - 7/9 x y z + 2/3 x y z + -- x y z - 4/9 x y z - 7/18 y x z + 27 + + 49 3 2 35 2 35 2 2 2 2 2 2 2 + - -- z y x - -- x y z + -- x y z + 5/6 x y z - 5/4 x y z + 72 36 24 + + 2 3 2 49 3 3 2 + + 7/12 z y x + --- z y x, COEFF(-2, 0, 0) = - 14/9 z y x + 108 + + 2 3 2 2 2 3 2 56 3 14 3 + + 4/3 z y x - 7/9 y z - 16/9 y x z + -- z y x - -- z y + 27 27 + + 49 2 2 3 2 2 2 2 98 2 2 + + -- x y z + 4/9 y z - 7/3 x y z - -- x y z - 7/18 z - 7/6 x z + 18 27 + + 2 2 2 2 49 2 2 2 + - 4/3 x z + 28/9 x y z + 14/9 x z + 1/3 z + -- y z + x z , + 54 + + 2 2 3 2 112 3 2 + COEFF(-1, 0, 0) = -7 x z + 98/9 z y x + --- z y + 49/6 x z + 27 + + 3 343 2 2 3 2 2 + - 140/9 z y x - 35/3 x z - --- x y z - 32/9 y z + 245/9 x y z + 18 + + 2 2 2 2 2 2 2 3 2 3 2 + + 56/9 y z + 49/3 x y z - 8/3 z - 28/3 z y x + 40/3 y x z + + 196 2 2 2 2 + - --- y z + 28/9 z - 70/3 x y z + 10 x z , COEFF(0, 0, 0) = + 27 + + 2 2 2 2 2 2 2 2 2 + 392/9 x y z + 392/9 x y z + 196/9 x z + 16 x z - 112/3 x y z + + 2 3 2 784 3 1372 2 2 + - 56/3 x z - 224/9 z y x + --- z y x - ---- x y z - 56/3 x z + 27 27 + + 2 3 2 3 2 + + 64/3 z y x - 224/9 y x z , COEFF(1, 0, 0) = - 28/9 z - 140/9 x z + + 2 2 2 2 3 2 2 560 3 + - 280/9 x y z - 56/9 y z + 160/9 y x z + 40/3 x z - --- z y x + 27 + + 2 2 3 2 196 2 2 2 2 2 + + 56/3 x z - 64/3 z y x + --- y z + 8/3 z + 112/3 x y z + 27 + + 3 2 112 3 980 2 3 2 2 2 + + 32/9 y z - --- z y + --- x y z + 224/9 z y x - 16 x z + 27 27 + + 2 2 2 2 2 2 + - 392/9 x y z, COEFF(2, 0, 0) = 14/3 x z + 28/3 x y z + 7/9 y z + + 2 2 343 2 2 3 2 2 3 2 49 2 + + 7 x z + --- x y z - 98/9 z y x + 28/3 z y x - -- y z + 18 54 + + 2 2 2 2 2 3 2 14 3 + - 98/9 x y z - 4 x z - 49/3 x y z - 16/3 y x z + -- z y + 7/18 z + 27 + + 2 3 2 3 2 + - 1/3 z + 56/9 z y x - 49/6 x z - 4/9 y z , COEFF(3, 0, 0) = + + 49 2 2 3 2 2 2 49 2 2 + - -- x y z + 8/9 y x z - 14/9 x y z + -- x y z + 7/6 x z - 7/9 x z + 18 27 + + 3 2 2 2 2 2 3 2 2 2 2 + + 14/9 z y x - x z + 2/3 x z - 4/3 z y x + 7/3 x y z + + 28 3 3 2 2 56 3 + - -- z y x, COEFF(-2, 1, 0) = - 4/9 y z + 2/9 y z - -- z y x + 27 27 + + 2 2 2 2 3 2 70 2 + + 5/3 x y z - 7/27 y z - 8/9 x y z + 14/9 z y x + -- x y z + 27 + + 14 3 35 2 2 3 2 28 35 2 2 2 2 + + -- z y - -- y z - 4/3 z y x + -- x y z - -- x y z + 5/9 y z + 27 54 27 18 + + 2 2 2 2 2 3 2 + - 7/9 x y z + 2/3 x y z - 20/9 x y z + 16/9 y x z , COEFF(-1, 1, 0) + + 2 2 2 3 2 56 2 + = 20/3 x y z - 40/9 y z - 98/9 z y x + -- y z + 49/9 x y z + 27 + + 2 2 3 2 2 2 2 112 3 + + 50/3 x y z - 40/3 y x z - 35/3 x y z - 70/9 x y z - --- z y + 27 + + 2 2 245 2 2 3 3 2 2 + - 14/3 x y z + --- x y z + 140/9 z y x + 32/9 y z - 16/9 y z + 18 + + 2 3 2 140 2 2 2 + + 28/3 z y x + --- y z - 175/9 x y z, COEFF(0, 1, 0) = - 112/9 x y z + 27 + + 2 2 784 3 980 2 3 2 2 2 + + 32/3 x y z - --- z y x + --- x y z + 224/9 y x z - 280/9 x y z + 27 27 + + 2 3 2 392 2 2 3 2 2 + - 64/3 z y x + --- x y z - 280/9 x y z + 224/9 z y x - 112/9 x y z + 27 + + 2 2 2 2 2 2 700 2 2 + + 80/3 x y z , COEFF(1, 1, 0) = - 80/3 x y z - --- x y z + 16/9 y z + 27 + + 2 3 2 280 112 3 3 2 140 2 + + 64/3 z y x - --- x y z + --- z y - 32/9 y z - --- y z + 27 27 27 + + 2 560 3 3 2 2 2 2 2 + + 80/9 x y z + --- z y x - 160/9 y x z - 32/3 x y z + 280/9 x y z + 27 + + 2 2 56 2 3 2 2 2 + + 40/9 y z - -- y z + 112/9 x y z - 224/9 z y x + 200/9 x y z , + 27 + + 3 2 3 2 2 3 + COEFF(2, 1, 0) = 16/3 y x z + 4/9 y z + 70/9 x y z - 56/9 z y x + + 245 2 2 14 3 3 2 35 2 2 3 2 + - --- x y z - -- z y + 98/9 z y x + -- y z - 28/3 z y x + 18 27 54 + + 2 2 2 2 2 2 2 + + 14/3 x y z - 20/3 x y z + 7/27 y z + 35/3 x y z + 28/9 x y z + + 2 2 2 2 2 + - 49/9 x y z - 5/9 y z - 2/9 y z - 8/3 x y z , COEFF(3, 1, 0) = + + 2 35 2 14 2 2 35 2 2 + 4/9 x y z - -- x y z - -- x y z + 10/9 x y z + -- x y z + 27 27 18 + + 3 2 2 2 3 2 2 2 2 28 3 + - 14/9 z y x + 7/9 x y z + 4/3 z y x - 5/3 x y z + -- z y x + 27 + + 3 2 2 2 3 2 2 2 + - 8/9 y x z - 2/3 x y z , COEFF(-2, 2, 0) = 7/36 y z - 1/12 x y z + + 2 2 49 3 2 2 2 2 2 2 + - 1/6 y z + -- z y x - 1/2 x y z + 1/9 x y z + 7/12 x y z + 54 + + 49 3 2 3 2 + - --- z y - 1/36 y z - 7/9 y x z - 7/54 x y z + 7/216 y z + 216 + + 2 3 2 49 3 2 2 2 2 2 + + 7/12 z y x - -- z y x + 2/3 x y z + 7/36 y z + 7/72 x y z + 72 + + 2 2 3 2 3 2 + - 7/9 x y z, COEFF(-1, 2, 0) = - 5/6 x y z + 35/6 y x z - 14/9 y z + + 2 2 2 49 3 49 2 35 2 + - 5 x y z + 2/9 y z + -- z y - -- x y z + -- x y z + 35/6 x y z + 27 72 36 + + 245 3 2 2 2 343 3 2 2 2 2 + - --- z y x + 7/2 x y z + --- z y x + 7/12 x y z - 14/9 y z + 36 72 + + 49 2 3 2 49 2 2 2 2 + - 7/27 y z - -- z y x - -- x y z + 4/3 y z , COEFF(0, 2, 0) = + 12 12 + + 3 2 2 2 2 2 2 2 2 2 + - 98/9 y x z - 8 x y z + 28/3 x y z - 4/3 x y z + 14/9 x y z + + 2 2 2 2 3 2 49 + + 28/3 x y z - 98/9 x y z + 14/9 x y z - 98/9 z y x - -- x y z + 27 + + 343 3 2 3 2 49 3 3 2 + + --- z y x + 28/3 z y x , COEFF(1, 2, 0) = - -- z y + 14/9 y z + 27 27 + + 2 3 2 2 2 2 + - 28/3 z y x + 14/9 y z - 14/9 x y z - 2/9 y z + 7/27 y z + + 3 2 35 2 2 245 3 + + 98/9 z y x + -- x y z + 70/9 x y z - 10/9 x y z - --- z y x + 27 27 + + 2 2 2 2 2 2 2 3 2 2 2 + + 8 x y z - 28/3 x y z + 4/3 x y z + 70/9 y x z - 20/3 x y z + + 2 2 2 2 343 3 2 49 2 + - 4/3 y z , COEFF(2, 2, 0) = 1/6 y z - --- z y x + -- x y z + 72 72 + + 49 3 2 3 2 2 2 2 2 + + -- z y x - 7/3 x y z - 7/36 y z - 7/2 x y z - 7/36 y z + 18 + + 49 2 3 2 2 2 2 2 2 + + -- z y x + 2 x y z - 7/18 x y z + 1/36 y z - 7/12 x y z + 12 + + 3 2 49 2 2 2 49 3 + - 7/3 y x z + -- x y z + 1/3 x y z + --- z y - 7/216 y z, + 12 216 + + 3 2 2 2 2 2 2 2 2 + COEFF(3, 2, 0) = 7/18 y x z - 7/12 x y z + 1/2 x y z - 1/3 x y z + + 2 49 3 2 49 3 2 + + 7/18 x y z + -- z y x - --- z y x + 7/108 x y z - 7/72 x y z + 72 108 + + 2 3 2 2 2 2 + - 7/12 z y x - 1/18 x y z + 1/12 x y z , COEFF(-2, 3, 0) = + + 2 2 2 2 2 2 2 3 2 2 + - 1/9 x y z + 1/12 x y z + 7/54 x y z - 1/12 z y x - 7/216 y z + + 3 2 3 2 3 3 3 2 + + 1/9 y x z + 7/72 z y x - 7/54 z y x + 7/216 z y - 1/36 y z + + 2 2 2 2 2 2 35 3 + + 1/36 y z - 7/72 x y z, COEFF(-1, 3, 0) = - 2/9 y z + -- z y x + 36 + + 2 2 49 2 2 2 3 2 3 2 + + 5/6 x y z + -- x y z + 7/12 z y x - 7/27 z y + 7/27 y z + 72 + + 3 2 3 2 35 2 2 2 2 49 3 2 + - 5/6 y x z + 2/9 y z - -- x y z - 7/12 x y z - -- z y x , + 36 72 + + 2 2 3 2 49 3 2 3 2 + COEFF(0, 3, 0) = - 14/9 x y z + 14/9 y x z - -- z y x - 4/3 z y x + 27 + + 49 2 3 2 2 2 2 2 2 + + -- x y z + 14/9 z y x + 4/3 x y z - 14/9 x y z , COEFF(1, 3, 0) + 27 + + 35 2 2 2 2 3 2 3 2 + = - -- x y z + 14/9 x y z - 7/27 y z - 10/9 y x z - 2/9 y z + 27 + + 3 2 2 2 2 35 3 2 3 2 2 2 + - 14/9 z y x - 4/3 x y z + -- z y x + 4/3 z y x + 10/9 x y z + 27 + + 3 2 2 3 2 + + 7/27 z y + 2/9 y z , COEFF(2, 3, 0) = - 7/216 z y + 7/18 x y z + + 2 3 2 2 2 3 2 2 2 2 + + 7/216 y z + 1/3 y x z - 1/3 x y z + 1/36 y z + 7/12 x y z + + 3 2 2 49 3 2 49 2 2 2 3 2 + - 7/18 z y x - 1/36 y z + -- z y x - -- x y z - 7/12 z y x , + 72 72 + + 3 2 2 2 2 3 + COEFF(3, 3, 0) = - 1/18 y x z - 1/12 x y z + 7/108 z y x + + 2 2 2 2 3 2 2 2 + - 7/108 x y z + 1/18 x y z + 1/12 z y x + 7/72 x y z + + 3 2 2 3 2 3 2 + - 7/72 z y x , COEFF(-2, -2, 1) = - 1/12 z y x + 5/72 z y x + + 2 2 3 3 2 2 2 + - 1/12 x y z - 5/54 z y x + 1/9 y x z + 5/72 x y z - 5/108 y z + + 2 2 2 2 2 3 + - 5/36 x y z + 1/6 x y z + 5/216 y z + 1/216 y - 1/54 y x + + 3 2 2 2 3 3 2 3 2 + + 5/216 z y - 1/108 y - 2/9 x y z + 1/216 y - 1/36 y z + 1/72 y x + + 2 2 2 2 + - 5/54 x y z + 5/27 x y z + 1/9 x y z + 1/27 x y - 1/54 x y + 1/72 x y + + 2 2 2 2 2 2 3 2 + - 1/36 x y - 1/36 y z + 1/18 y z , COEFF(-1, -2, 1) = 7/12 z y x + + 35 3 2 2 2 25 3 3 2 35 2 + - -- z y x + 7/12 x y z + -- z y x - 5/6 y x z - -- x y z + 72 36 72 + + 10 2 35 2 2 2 2 2 3 + + -- y z + -- x y z - 7/6 x y z - 5/27 y z - 1/27 y + 5/36 y x + 27 36 + + 3 2 2 2 3 3 2 3 2 + - 5/27 z y + 2/27 y + 5/3 x y z - 1/27 y + 2/9 y z - 7/72 y x + + 25 25 2 2 2 2 + + -- x y z - -- x y z - 5/6 x y z - 5/18 x y + 5/36 x y - 7/72 x y + 36 18 + + 2 2 2 2 2 2 2 + + 7/36 x y + 2/9 y z - 4/9 y z , COEFF(0, -2, 1) = - 4/9 x y + + 70 2 2 2 14 2 2 2 35 + + -- x y z - 7/27 x y - 28/9 x y z + -- x y - 4/3 x y z - -- x y z + 27 27 27 + + 2 2 2 2 3 2 2 2 2 3 2 + + 10/9 x y z - 20/9 x y z - 4/3 z y x + 8/3 x y z + 14/9 y x z + + 35 3 2 3 3 2 3 2 + - -- z y x + 14/9 x y z - 7/27 y x + 2/9 y x + 10/9 z y x + 27 + + 2 2 3 2 3 2 2 2 + + 2/9 x y, COEFF(1, -2, 1) = 4/3 z y x - 10/9 z y x + 4/3 x y z + + 25 3 3 2 2 10 2 2 2 + + -- z y x - 10/9 y x z - 10/9 x y z - -- y z + 20/9 x y z + 27 27 + + 2 2 2 3 3 2 + - 8/3 x y z + 5/27 y z + 1/27 y + 5/27 y x + 5/27 z y - 2/27 y + + 2 2 3 3 2 3 2 25 50 2 + + 20/9 x y z + 1/27 y - 2/9 y z - 2/9 y x + -- x y z - -- x y z + 27 27 + + 2 10 2 2 2 2 2 + - 10/9 x y z - -- x y + 5/27 x y - 2/9 x y + 4/9 x y - 2/9 y z + 27 + + 2 2 2 3 2 35 3 2 2 2 + + 4/9 y z , COEFF(2, -2, 1) = - 7/12 z y x + -- z y x - 7/12 x y z + 72 + + 3 3 2 35 2 2 35 2 2 + - 5/18 z y x + 1/3 y x z + -- x y z + 5/108 y z - -- x y z + 72 36 + + 2 2 2 3 3 2 + + 7/6 x y z - 5/216 y z - 1/216 y - 1/18 y x - 5/216 z y + 1/108 y + + 2 2 3 3 2 3 2 + - 2/3 x y z - 1/216 y + 1/36 y z + 7/72 y x - 5/18 x y z + + 2 2 2 2 2 2 + + 5/9 x y z + 1/3 x y z + 1/9 x y - 1/18 x y + 7/72 x y - 7/36 x y + + 2 2 2 2 2 2 2 2 + + 1/36 y z - 1/18 y z , COEFF(3, -2, 1) = 5/36 x y z - 1/6 x y z + + 2 2 3 2 2 3 2 + - 5/54 x y z + 1/12 z y x + 1/108 x y - 5/72 x y z - 5/72 z y x + + 3 2 3 2 2 2 + + 5/108 z y x - 1/54 x y - 1/18 y x z - 1/18 x y z - 1/72 x y + + 2 2 3 2 2 2 3 + + 1/9 x y z - 1/72 y x + 5/108 x y z + 1/36 x y + 1/108 y x + + 2 2 2 3 2 35 3 2 + + 1/12 x y z , COEFF(-2, -1, 1) = 7/12 z y x - -- z y x + 72 + + 2 2 35 3 3 2 2 25 2 + + 2/3 x y z + -- z y x - 7/9 y x z - 5/9 x y z + -- y z + 54 72 + + 25 2 2 2 2 2 3 35 3 + + -- x y z - 5/4 x y z - 5/27 y z - 1/27 y + 7/54 y x - --- z y + 24 216 + + 2 2 2 3 3 2 3 2 20 + + 5/72 y + 5/3 x y z - 7/216 y + 7/36 y z - 7/72 y x + -- x y z + 27 + + 25 2 2 2 2 2 2 + - -- x y z - 8/9 x y z - 5/18 x y + 4/27 x y - 1/9 x y + 5/24 x y + 18 + + 2 2 2 49 2 3 2 245 3 2 + + 2/9 y z - 5/12 y z , COEFF(-1, -1, 1) = - -- z y x + --- z y x + 12 72 + + 2 2 175 3 3 2 2 2 + - 14/3 x y z - --- z y x + 35/6 y x z + 35/9 x y z - 25/9 y z + 36 + + 175 2 2 2 2 2 40 35 3 35 3 + - --- x y z + 35/4 x y z + -- y z + 8/27 y - -- y x + -- z y + 24 27 36 27 + + 2 2 2 3 3 2 49 3 2 + - 5/9 y - 25/2 x y z + 7/27 y - 14/9 y z + -- y x - 50/9 x y z + 72 + + 125 2 2 25 2 2 35 2 2 + + --- x y z + 20/3 x y z + -- x y - 10/9 x y + 7/9 x y - -- x y + 12 12 24 + + 2 2 2 2 3 2 + - 16/9 y z + 10/3 y z , COEFF(0, -1, 1) = - 35/9 x y - 70/9 z y x + + 245 3 2 56 2 2 2 3 2 + + --- z y x - 175/9 x y z + -- x y - 20 x y z - 98/9 y x z + 27 27 + + 2 3 2 2 2 2 2 2 + - 16/9 x y - 14/9 y x + 32/3 x y z + 10/3 x y - 112/9 x y z + + 2 49 3 280 2 2 2 3 2 + - 80/9 x y z + -- y x + --- x y z + 70/3 x y z + 28/3 z y x + 27 27 + + 2 2 2 3 2 3 2 + + 50/3 x y z, COEFF(1, -1, 1) = - 28/3 z y x + 70/9 z y x + + 2 2 175 3 3 2 2 2 + - 32/3 x y z - --- z y x + 70/9 y x z + 80/9 x y z + 25/9 y z + 27 + + 2 2 2 2 2 40 35 3 35 3 + - 50/3 x y z + 20 x y z - -- y z - 8/27 y - -- y x - -- z y + 27 27 27 + + 2 2 2 3 3 2 3 2 200 + + 5/9 y - 50/3 x y z - 7/27 y + 14/9 y z + 14/9 y x - --- x y z + 27 + + 2 2 2 40 2 2 2 + + 125/9 x y z + 80/9 x y z + 25/9 x y - -- x y + 16/9 x y - 10/3 x y + 27 + + 2 2 2 49 2 3 2 245 3 2 + + 16/9 y z - 10/3 y z , COEFF(2, -1, 1) = -- z y x - --- z y x + 12 72 + + 2 2 35 3 3 2 2 25 2 + + 14/3 x y z + -- z y x - 7/3 y x z - 35/9 x y z - -- y z + 18 72 + + 175 2 2 2 2 2 3 35 3 + + --- x y z - 35/4 x y z + 5/27 y z + 1/27 y + 7/18 y x + --- z y + 24 216 + + 2 2 2 3 3 2 49 3 2 + - 5/72 y + 5 x y z + 7/216 y - 7/36 y z - -- y x + 20/9 x y z + 72 + + 2 2 2 2 35 2 2 + - 25/6 x y z - 8/3 x y z - 5/6 x y + 4/9 x y - 7/9 x y + -- x y + 24 + + 2 2 2 3 2 2 2 + - 2/9 y z + 5/12 y z , COEFF(3, -1, 1) = 7/18 y x z - 2/3 x y z + + 2 2 2 25 2 3 2 2 + + 5/9 x y z + 1/9 x y + 4/9 x y z + -- x y z + 7/72 y x + 5/36 x y + 36 + + 2 2 2 2 3 2 3 2 2 2 2 + - 5/6 x y z - 5/24 x y - 7/108 y x - 7/12 z y x + 5/4 x y z + + 35 3 35 3 2 25 2 2 10 + - --- z y x + -- z y x - -- x y z - -- x y z - 2/27 x y, + 108 72 24 27 + + 2 3 2 3 2 40 3 3 2 + COEFF(-2, 0, 1) = - 4/3 z y x + 10/9 z y x - -- z y x + 16/9 y x z + 27 + + 35 2 35 2 2 2 2 2 2 + - -- y z - -- x y z + 7/3 x y z - 2/9 x - 10/9 x z + 5/18 z - 1/3 z + 54 18 + + 3 10 3 2 2 2 2 2 2 3 + - 8/27 y x + -- z y + 1/6 x - 7/54 y - x z - 28/9 x y z + 2/27 y + 27 + + 2 3 2 3 2 70 2 14 2 2 2 + + 5/6 x z - 4/9 y z + 2/9 y x + -- x y z + -- x y - 7/18 x y + 27 27 + + 2 2 2 2 3 2 + + 4/3 x z + 1/18 + 7/9 y z , COEFF(-1, 0, 1) = 28/3 z y x + + 3 2 3 3 2 140 2 245 2 2 + - 70/9 z y x + 100/9 z y x - 40/3 y x z + --- y z + --- x y z + 27 18 + + 2 2 2 2 3 80 3 + - 49/3 x y z + 5/3 x + 25/3 x z - 20/9 z + 8/3 z + 20/9 y x - -- z y + 27 + + 2 28 2 2 2 2 2 16 3 2 3 2 + - 7/6 x + -- y + 7 x z + 70/3 x y z - -- y - 35/6 x z + 32/9 y z + 27 27 + + 3 2 2 2 49 2 2 2 + - 14/9 y x - 175/9 x y z - 35/9 x y + -- x y - 10 x z - 4/9 + 18 + + 2 2 2 2 3 2 2 + - 56/9 y z , COEFF(0, 0, 1) = -16 x z + 32/9 y x + 40/3 x z + + 2 2 2 2 2 2 3 2 2 + - 280/9 x y z + 112/3 x y z + 8/3 x + 160/9 z y x + 56/3 x z + + 560 3 2 2 2 3 2 980 2 + - --- z y x - 56/9 x y - 64/3 z y x + --- x y z - 28/9 x + 27 27 + + 2 2 3 2 196 2 112 3 + - 392/9 x y z - 140/9 x z + 224/9 y x z + --- x y - --- y x, + 27 27 + + 2 3 2 3 2 400 3 3 2 + COEFF(1, 0, 1) = 64/3 z y x - 160/9 z y x + --- z y x - 160/9 y x z + 27 + + 140 2 2 2 2 2 2 + - --- y z + 280/9 x y z - 112/3 x y z + 20/9 x + 100/9 x z + 20/9 z + 27 + + 2 80 3 80 3 2 28 2 2 2 2 2 + - 8/3 z + -- y x + -- z y - 8/3 x - -- y + 16 x z + 280/9 x y z + 27 27 27 + + 16 3 2 3 2 3 2 700 2 140 2 + + -- y - 40/3 x z - 32/9 y z - 32/9 y x - --- x y z - --- x y + 27 27 27 + + 2 2 2 2 2 + + 56/9 x y - 40/3 x z + 4/9 + 56/9 y z , COEFF(2, 0, 1) = + + 2 3 2 3 2 3 3 2 35 2 + - 28/3 z y x + 70/9 z y x - 40/9 z y x + 16/3 y x z + -- y z + 54 + + 245 2 2 2 2 2 2 + - --- x y z + 49/3 x y z - 2/3 x - 10/3 x z - 5/18 z + 1/3 z + 18 + + 3 10 3 2 2 2 2 2 2 3 + - 8/9 y x - -- z y + 7/6 x + 7/54 y - 7 x z - 28/3 x y z - 2/27 y + 27 + + 2 3 2 3 2 2 2 49 2 2 + + 35/6 x z + 4/9 y z + 14/9 y x + 70/9 x y z + 14/9 x y - -- x y + 18 + + 2 2 2 2 2 + + 4 x z - 1/18 - 7/9 y z , COEFF(3, 0, 1) = - 1/6 x - 7/27 x y + + 2 2 2 2 2 2 2 2 35 2 2 + + 5/9 x z - 7/3 x y z - 5/6 x z + 7/18 x y + x z + -- x y z + 18 + + 3 2 35 2 2 3 2 2 3 2 + - 10/9 z y x - -- x y z + 4/3 z y x - 2/3 x z - 2/9 y x + 27 + + 3 2 20 3 3 2 2 + - 8/9 y x z + -- z y x + 4/27 y x + 14/9 x y z + 1/9 x, + 27 + + 2 3 2 3 2 2 2 40 3 + COEFF(-2, 1, 1) = 4/3 z y x - 10/9 z y x - 2/3 x y z + -- z y x + 27 + + 3 2 2 25 2 25 2 2 2 2 2 + - 16/9 y x z + 5/9 x y z + -- y z + -- x y z - 5/3 x y z + 54 18 + + 3 10 3 2 2 2 + + 5/27 y z + 1/27 y + 8/27 y x - -- z y + 5/54 y + 20/9 x y z + 27 + + 3 3 2 3 2 20 50 2 2 + - 2/27 y + 4/9 y z - 2/9 y x - -- x y z - -- x y z + 8/9 x y z + 27 27 + + 10 2 2 2 2 2 2 2 + - -- x y - 4/27 x y + 1/9 x y + 5/18 x y - 2/9 y z - 5/9 y z , + 27 + + 2 3 2 3 2 2 2 + COEFF(-1, 1, 1) = - 28/3 z y x + 70/9 z y x + 14/3 x y z + + 3 3 2 2 100 2 175 2 2 + - 100/9 z y x + 40/3 y x z - 35/9 x y z - --- y z - --- x y z + 27 18 + + 2 2 2 40 3 80 3 20 2 + + 35/3 x y z - -- y z - 8/27 y - 20/9 y x + -- z y - -- y + 27 27 27 + + 2 2 16 3 3 2 3 2 + - 50/3 x y z + -- y - 32/9 y z + 14/9 y x + 50/9 x y z + 27 + + 2 2 2 2 35 2 2 + + 125/9 x y z - 20/3 x y z + 25/9 x y + 10/9 x y - 7/9 x y - -- x y + 18 + + 2 2 2 2 2 3 2 + + 16/9 y z + 40/9 y z , COEFF(0, 1, 1) = 40/9 x y - 224/9 y x z + + 2 2 2 2 280 112 3 2 3 2 + - 80/3 x y z + 112/9 x y z - --- x y z + --- y x + 64/3 z y x + 27 27 + + 700 2 2 140 2 560 3 2 2 + - --- x y z + 80/9 x y z - --- x y + --- z y x + 280/9 x y z + 27 27 27 + + 3 2 2 3 2 2 2 56 + - 160/9 z y x + 16/9 x y - 32/9 y x + 200/9 x y z - -- x y + 27 + + 2 2 2 3 2 3 2 + - 32/3 x y z , COEFF(1, 1, 1) = - 64/3 z y x + 160/9 z y x + + 2 2 400 3 3 2 2 100 2 + + 32/3 x y z - --- z y x + 160/9 y x z - 80/9 x y z + --- y z + 27 27 + + 2 2 2 2 2 40 80 3 80 3 + - 200/9 x y z + 80/3 x y z + -- y z + 8/27 y - -- y x - -- z y + 27 27 27 + + 20 2 2 2 16 3 3 2 3 2 200 + + -- y - 200/9 x y z - -- y + 32/9 y z + 32/9 y x + --- x y z + 27 27 27 + + 500 2 2 100 2 40 2 2 2 + + --- x y z - 80/9 x y z + --- x y + -- x y - 16/9 x y - 40/9 x y + 27 27 27 + + 2 2 2 2 3 2 3 2 + - 16/9 y z - 40/9 y z , COEFF(2, 1, 1) = 28/3 z y x - 70/9 z y x + + 2 2 3 3 2 2 25 2 + - 14/3 x y z + 40/9 z y x - 16/3 y x z + 35/9 x y z - -- y z + 54 + + 175 2 2 2 2 2 3 10 3 + + --- x y z - 35/3 x y z - 5/27 y z - 1/27 y + 8/9 y x + -- z y + 18 27 + + 2 2 2 3 3 2 3 2 + - 5/54 y + 20/3 x y z + 2/27 y - 4/9 y z - 14/9 y x - 20/9 x y z + + 2 2 2 2 35 2 2 + - 50/9 x y z + 8/3 x y z - 10/9 x y - 4/9 x y + 7/9 x y + -- x y + 18 + + 2 2 2 2 2 + + 2/9 y z + 5/9 y z , COEFF(3, 1, 1) = 5/27 x y + 2/27 x y - 5/9 x y z + + 3 2 2 25 2 3 2 25 2 2 + - 4/27 y x - 10/9 x y z + -- x y z + 8/9 y x z - -- x y z + 27 18 + + 3 2 2 2 2 2 3 2 20 3 + + 10/9 z y x + 2/3 x y z - 4/9 x y z - 4/3 z y x - -- z y x + 27 + + 2 2 2 2 2 2 10 3 2 + + 5/3 x y z - 5/18 x y - 1/9 x y + -- x y z + 2/9 y x , + 27 + + 2 3 2 35 3 2 2 2 35 3 + COEFF(-2, 2, 1) = - 7/12 z y x + -- z y x + 1/12 x y z - -- z y x + 72 54 + + 3 2 2 2 2 2 2 2 2 + + 7/9 y x z - 5/72 x y z - 5/36 y z - 5/12 x y z + 1/2 x y z + + 3 35 3 2 2 2 + - 5/216 y z - 1/216 y - 7/54 y x + --- z y - 1/36 y - 2/3 x y z + 216 + + 3 3 2 3 2 2 + + 7/216 y - 7/36 y z + 7/72 y x + 5/54 x y z + 5/9 x y z + + 2 2 2 2 2 2 + - 1/9 x y z + 1/9 x y + 1/54 x y - 1/72 x y - 1/12 x y + 1/36 y z + + 2 2 49 2 3 2 245 3 2 2 2 + + 1/6 y z , COEFF(-1, 2, 1) = -- z y x - --- z y x - 7/12 x y z + 12 72 + + 175 3 3 2 35 2 2 35 2 2 + + --- z y x - 35/6 y x z + -- x y z + 10/9 y z + -- x y z + 36 72 12 + + 2 2 2 35 3 35 3 2 + - 7/2 x y z + 5/27 y z + 1/27 y + -- y x - -- z y + 2/9 y + 36 27 + + 2 2 3 3 2 49 3 2 25 2 + + 5 x y z - 7/27 y + 14/9 y z - -- y x - -- x y z - 25/6 x y z + 72 36 + + 2 2 2 2 2 2 + + 5/6 x y z - 5/6 x y - 5/36 x y + 7/72 x y + 7/12 x y - 2/9 y z + + 2 2 2 2 2 245 3 2 + - 4/3 y z , COEFF(0, 2, 1) = 8 x y z - --- z y x - 2/9 x y + 27 + + 2 2 2 2 3 2 2 2 49 3 + - 14/9 x y z - 28/3 x y z - 28/3 z y x - 20/3 x y z - -- y x + 27 + + 35 2 2 2 3 2 + + -- x y z + 14/9 x y - 10/9 x y z + 70/9 x y z + 98/9 y x z + 27 + + 2 2 3 2 3 2 2 2 + - 4/3 x y + 70/9 z y x + 7/27 x y + 14/9 y x + 4/3 x y z , + + 2 3 2 3 2 2 2 175 3 + COEFF(1, 2, 1) = 28/3 z y x - 70/9 z y x - 4/3 x y z + --- z y x + 27 + + 3 2 2 2 2 2 2 2 2 + - 70/9 y x z + 10/9 x y z - 10/9 y z + 20/3 x y z - 8 x y z + + 35 3 35 3 2 2 2 3 + - 5/27 y z - 1/27 y + -- y x + -- z y - 2/9 y + 20/3 x y z + 7/27 y + 27 27 + + 3 2 3 2 25 2 2 + - 14/9 y z - 14/9 y x - -- x y z - 50/9 x y z + 10/9 x y z + 27 + + 2 2 2 2 2 2 2 + - 10/9 x y - 5/27 x y + 2/9 x y + 4/3 x y + 2/9 y z + 4/3 y z , + + 49 2 3 2 245 3 2 2 2 35 3 + COEFF(2, 2, 1) = - -- z y x + --- z y x + 7/12 x y z - -- z y x + 12 72 18 + + 3 2 35 2 2 35 2 2 2 2 2 + + 7/3 y x z - -- x y z + 5/36 y z - -- x y z + 7/2 x y z + 72 12 + + 3 35 3 2 2 2 + + 5/216 y z + 1/216 y - 7/18 y x - --- z y + 1/36 y - 2 x y z + 216 + + 3 3 2 49 3 2 2 2 + - 7/216 y + 7/36 y z + -- y x + 5/18 x y z + 5/3 x y z - 1/3 x y z + 72 + + 2 2 2 2 2 2 2 + + 1/3 x y + 1/18 x y - 7/72 x y - 7/12 x y - 1/36 y z - 1/6 y z , + + 3 2 2 2 2 2 + COEFF(3, 2, 1) = - 5/108 x y z - 7/18 y x z - 1/2 x y z - 1/18 x y + + 35 3 2 2 3 2 35 3 + - -- z y x + 5/72 x y z - 7/72 y x + --- z y x - 1/108 x y + 72 108 + + 2 2 2 3 2 2 3 2 + - 1/12 x y z - 5/18 x y z + 7/108 y x + 1/72 x y + 7/12 z y x + + 2 2 2 2 2 2 2 + + 1/12 x y + 1/18 x y z + 1/3 x y z + 5/12 x y z, COEFF(-2, 3, 1) + + 3 3 2 2 2 3 2 2 2 + = 1/54 y x + 5/54 z y x - 1/12 x y z - 5/72 z y x - 1/36 y z + + 3 2 3 2 2 2 3 2 2 + + 1/36 y z - 1/9 y x z + 1/72 x y - 1/72 y x - 5/54 x y z + + 2 2 3 3 2 2 2 + + 1/216 y + 5/216 y z - 5/216 z y - 1/216 y + 1/9 x y z - 1/54 x y + + 2 2 2 3 2 25 3 2 2 + + 5/72 x y z + 1/12 z y x , COEFF(-1, 3, 1) = - -- z y x - 7/72 x y + 36 + + 2 2 2 35 3 2 2 2 3 2 + + 2/9 y z - 1/27 y + -- z y x + 5/36 x y - 5/27 y z + 5/6 y x z + 72 + + 3 3 2 2 2 2 3 35 2 2 + - 5/36 y x + 7/72 y x + 7/12 x y z + 1/27 y - -- x y z + 72 + + 3 3 2 25 2 2 3 2 2 2 + + 5/27 z y - 2/9 y z + -- x y z - 7/12 z y x - 5/6 x y z , + 36 + + 3 2 3 2 3 2 2 + COEFF(0, 3, 1) = 7/27 y x + 4/3 z y x - 2/9 y x - 7/27 x y + + 3 2 35 2 35 3 2 2 3 2 + - 14/9 y x z - -- x y z + -- z y x + 14/9 x y z - 10/9 z y x + 27 27 + + 2 2 2 2 2 2 2 2 2 + + 2/9 x y + 10/9 x y z - 4/3 x y z , COEFF(1, 3, 1) = - 2/9 x y + + 2 2 3 2 2 2 2 3 + - 10/9 x y z - 5/27 y x - 2/9 y z + 5/27 x y + 5/27 y z - 1/27 y + + 3 2 25 3 2 3 2 2 25 2 + + 10/9 z y x - -- z y x - 4/3 z y x + 1/27 y + -- x y z + 27 27 + + 3 2 3 2 3 2 2 2 3 2 + + 2/9 y x + 2/9 y z - 5/27 z y + 4/3 x y z + 10/9 y x z + + 2 2 2 3 2 3 2 2 2 + - 10/9 x y z, COEFF(2, 3, 1) = 7/12 z y x - 7/72 y x + 1/3 x y z + + 3 2 3 2 2 2 2 2 3 2 + - 1/36 y z + 1/18 y x + 1/36 y z - 7/12 x y z - 1/3 y x z + + 2 2 3 2 2 3 + + 7/72 x y + 1/216 y - 5/18 x y z - 5/216 y z + 5/18 z y x + + 35 3 2 35 2 2 3 2 2 + - -- z y x + -- x y z + 5/216 z y - 1/216 y - 1/18 x y , + 72 72 + + 2 2 2 2 2 2 2 + COEFF(3, 3, 1) = 1/12 x y z - 1/18 x y z - 5/72 x y z + + 2 3 2 2 2 3 2 3 2 3 2 + - 1/12 z y x - 1/72 x y + 1/72 y x + 1/18 y x z + 5/72 z y x + + 2 3 2 3 + + 5/108 x y z - 5/108 z y x + 1/108 x y - 1/108 y x, COEFF(-2, -2, 2) + + 2 3 2 3 2 2 2 3 + = 7/192 z y x - 1/48 z y x + 7/192 x y z + 1/36 z y x + + 3 2 2 2 2 2 2 2 2 + - 7/144 y x z - 1/48 x y z + 1/72 y z + 1/24 x y z - 7/96 x y z + + 3 3 2 2 2 + - 1/144 y z - 1/1728 y + 1/432 y x - 1/144 z y + 1/864 y + 7/72 x y z + + 3 3 2 3 2 2 + - 1/1728 y + 7/576 y z - 1/576 y x + 1/36 x y z - 1/18 x y z + + 2 2 2 2 2 + - 7/144 x y z - 1/216 x y + 1/432 x y - 1/576 x y + 1/288 x y + + 2 2 2 49 2 3 2 + + 7/576 y z - 7/288 y z , COEFF(-1, -2, 2) = - --- z y x + 192 + + 3 2 49 2 2 3 35 3 2 2 + + 7/48 z y x - --- x y z - 5/24 z y x + -- y x z + 7/48 x y z + 192 96 + + 2 2 2 49 2 2 2 3 + - 1/9 y z - 7/24 x y z + -- x y z + 1/18 y z + 1/216 y - 5/288 y x + 96 + + 3 2 35 2 2 3 3 2 3 2 + + 1/18 z y - 1/108 y - -- x y z + 1/216 y - 7/72 y z + 7/576 y x + 48 + + 2 35 2 2 + - 5/24 x y z + 5/12 x y z + -- x y z + 5/144 x y - 5/288 x y + 96 + + 2 2 2 2 2 2 + + 7/576 x y - 7/288 x y - 7/72 y z + 7/36 y z , COEFF(0, -2, 2) = + + 3 2 2 2 2 2 + - 1/36 y x + 7/18 x y z + 1/18 x y - 1/3 x y z - 1/36 x y + + 2 2 2 2 3 2 49 2 2 2 3 + - 7/6 x y z + 7/12 z y x + -- x y z - 7/9 x y z + 7/18 z y x + 36 + + 2 2 3 3 2 2 + + 2/3 x y z + 7/216 x y + 7/216 y x - 1/3 z y x - 7/108 x y + + 2 2 49 2 49 3 2 2 3 2 + + 7/12 x y z - -- x y z - -- y x z , COEFF(1, -2, 2) = - 7/12 z y x + 72 72 + + 3 2 2 2 3 35 3 2 2 + + 1/3 z y x - 7/12 x y z - 5/18 z y x + -- y x z + 1/3 x y z + 72 + + 2 2 2 2 2 2 3 + + 1/9 y z - 2/3 x y z + 7/6 x y z - 1/18 y z - 1/216 y - 5/216 y x + + 3 2 35 2 2 3 3 2 3 2 + - 1/18 z y + 1/108 y - -- x y z - 1/216 y + 7/72 y z + 1/36 y x + 36 + + 2 35 2 2 2 + - 5/18 x y z + 5/9 x y z + -- x y z + 5/108 x y - 5/216 x y + 1/36 x y + 72 + + 2 2 2 2 2 49 2 3 2 + - 1/18 x y + 7/72 y z - 7/36 y z , COEFF(2, -2, 2) = --- z y x + 192 + + 3 2 49 2 2 3 3 2 2 + - 7/48 z y x + --- x y z + 1/12 z y x - 7/48 y x z - 7/48 x y z + 192 + + 2 2 2 49 2 2 2 + - 1/72 y z + 7/24 x y z - -- x y z + 1/144 y z + 1/1728 y + 96 + + 3 3 2 2 2 3 + + 1/144 y x + 1/144 z y - 1/864 y + 7/24 x y z + 1/1728 y + + 3 2 3 2 2 2 + - 7/576 y z - 7/576 y x + 1/12 x y z - 1/6 x y z - 7/48 x y z + + 2 2 2 2 2 + - 1/72 x y + 1/144 x y - 7/576 x y + 7/288 x y - 7/576 y z + + 2 2 2 2 2 3 + + 7/288 y z , COEFF(3, -2, 2) = 7/96 x y z - 1/864 y x + + 2 3 2 2 2 2 2 2 2 + - 7/192 z y x - 7/192 x y z - 1/288 x y + 1/432 x y + 1/576 x y + + 3 2 3 2 2 2 2 2 + + 7/288 y x z + 1/576 y x + 1/48 x y z - 7/144 x y z + 7/288 x y z + + 2 2 2 3 + + 1/36 x y z - 1/24 x y z - 1/72 x y z - 1/72 z y x - 1/864 x y + + 3 2 49 2 3 2 3 2 + + 1/48 z y x , COEFF(-2, -1, 2) = - --- z y x + 7/48 z y x + 192 + + 2 2 3 49 3 2 2 2 + - 7/24 x y z - 7/36 z y x + --- y x z + 1/6 x y z - 5/48 y z + 144 + + 2 2 35 2 2 2 3 + - 5/16 x y z + -- x y z + 1/18 y z + 1/216 y - 7/432 y x + 64 + + 3 2 35 2 2 3 49 3 2 3 2 + + 7/144 z y - 5/576 y - -- x y z + 7/1728 y - --- y z + 7/576 y x + 48 576 + + 2 2 2 + - 2/9 x y z + 5/12 x y z + 7/18 x y z + 5/144 x y - 1/54 x y + + 2 2 2 2 35 2 2 + + 1/72 x y - 5/192 x y - 7/72 y z + --- y z , COEFF(-1, -1, 2) = + 192 + + 343 2 3 2 49 3 2 49 2 2 35 3 245 3 2 + --- z y x - -- z y x + -- x y z + -- z y x - --- y x z + 192 48 24 24 96 + + 2 2 35 2 2 245 2 2 2 + - 7/6 x y z + 5/6 y z + -- x y z - --- x y z - 4/9 y z - 1/27 y + 16 64 + + 35 3 3 2 175 2 2 3 49 3 2 + + --- y x - 7/18 z y + 5/72 y + --- x y z - 7/216 y + -- y z + 288 32 72 + + 49 3 2 2 35 2 25 2 + - --- y x + 5/3 x y z - 25/8 x y z - -- x y z - -- x y + 5/36 x y + 576 12 96 + + 2 35 2 2 2 35 2 2 + - 7/72 x y + --- x y + 7/9 y z - -- y z , COEFF(0, -1, 2) = + 192 24 + + 49 3 3 2 343 3 2 245 2 2 + - -- z y x - 7/27 x y + 7/3 z y x + --- y x z - --- x y z + 18 72 24 + + 49 2 3 2 49 3 2 3 2 35 2 + - -- z y x - --- y x + 35/6 x y z + 7/36 y x + -- x y - 28/9 x y z + 12 216 72 + + 2 2 2 2 2 2 2 2 2 + - 14/3 x y z + 35/4 x y z - 5/12 x y + 8/3 x y z + 2/9 x y + + 2 2 2 49 2 3 2 3 2 + + 49/9 x y z - 5 x y z, COEFF(1, -1, 2) = -- z y x - 7/3 z y x + 12 + + 2 2 35 3 245 3 2 2 2 + + 14/3 x y z + -- z y x - --- y x z - 8/3 x y z - 5/6 y z + 18 72 + + 2 2 2 2 2 35 3 3 + + 5 x y z - 35/4 x y z + 4/9 y z + 1/27 y + --- y x + 7/18 z y + 216 + + 2 175 2 2 3 49 3 2 3 2 + - 5/72 y + --- x y z + 7/216 y - -- y z - 7/36 y x + 20/9 x y z + 24 72 + + 2 2 25 2 2 2 2 + - 25/6 x y z - 35/9 x y z - -- x y + 5/27 x y - 2/9 x y + 5/12 x y + 72 + + 2 35 2 2 343 2 3 2 49 3 2 + - 7/9 y z + -- y z , COEFF(2, -1, 2) = - --- z y x + -- z y x + 24 192 48 + + 49 2 2 3 49 3 2 2 2 + - -- x y z - 7/12 z y x + -- y x z + 7/6 x y z + 5/48 y z + 24 48 + + 35 2 2 245 2 2 2 3 3 + - -- x y z + --- x y z - 1/18 y z - 1/216 y - 7/144 y x - 7/144 z y + 16 64 + + 2 35 2 2 3 49 3 2 49 3 2 + + 5/576 y - -- x y z - 7/1728 y + --- y z + --- y x - 2/3 x y z + 16 576 576 + + 2 2 2 2 35 2 2 + + 5/4 x y z + 7/6 x y z + 5/48 x y - 1/18 x y + 7/72 x y - --- x y + 192 + + 2 35 2 2 2 49 2 3 2 + + 7/72 y z - --- y z , COEFF(3, -1, 2) = - 5/288 x y + --- z y x + 192 192 + + 35 2 2 2 2 3 2 2 2 + + -- x y z + 7/24 x y z - 7/48 z y x - 5/24 x y z - 1/6 x y z + 96 + + 3 35 2 2 2 49 3 2 3 + + 7/72 z y x - -- x y z + 1/108 x y - --- y x z + 7/864 y x + 64 288 + + 3 2 2 2 2 2 2 + - 7/576 y x + 5/192 x y + 1/9 x y z - 7/36 x y z + 5/16 x y z + + 2 2 3 2 3 2 3 + - 1/72 x y, COEFF(-2, 0, 2) = 7/12 z y x - 1/3 z y x + 4/9 z y x + + 3 2 2 2 2 49 2 2 2 + - 7/9 y x z + 7/36 y z + 7/12 x y z - -- x y z + 1/36 x + 1/3 x z + 48 + + 2 3 3 2 2 + - 1/12 z + 7/48 z + 1/27 y x - 1/9 z y - 1/48 x + 7/432 y + + 2 2 49 2 2 3 2 3 2 3 2 + + 7/16 x z + -- x y z - 1/108 y - 1/4 x z + 7/36 y z - 1/36 y x + 36 + + 2 2 2 2 2 49 2 2 + - 7/9 x y z - 7/108 x y + 7/144 x y - 7/12 x z - 1/144 - --- y z , + 144 + + 49 2 3 2 3 2 3 3 2 + COEFF(-1, 0, 2) = - -- z y x + 7/3 z y x - 10/3 z y x + 35/6 y x z + 12 + + 2 49 2 2 343 2 2 2 + - 14/9 y z - -- x y z + --- x y z - 5/24 x - 5/2 x z + 2/3 z + 12 48 + + 2 3 3 2 2 49 2 2 + - 7/6 z - 5/18 y x + 8/9 z y + 7/48 x - 7/54 y - -- x z + 16 + + 245 2 2 3 2 3 2 3 2 2 + - --- x y z + 2/27 y + 7/4 x z - 14/9 y z + 7/36 y x + 35/6 x y z + 24 + + 35 2 49 2 2 2 49 2 2 + + -- x y - --- x y + 35/8 x z + 1/18 + -- y z , COEFF(0, 0, 2) = + 72 144 18 + + 2 3 2 2 2 2 2 2 2 2 2 + 28/3 z y x + 28/3 x y z + 7/9 x y - 49/3 x y z - 1/3 x + + 3 2 3 2 2 2 + + 14/3 x z - 4/9 y x - 98/9 y x z - 98/9 x y z - 4 x z + 7/18 x + + 3 14 3 3 2 343 2 2 49 2 2 + + 56/9 z y x + -- y x - 16/3 z y x + --- x y z - -- x y - 49/6 x z + 27 18 54 + + 2 2 2 3 2 3 2 3 + + 7 x z , COEFF(1, 0, 2) = - 28/3 z y x + 16/3 z y x - 40/9 z y x + + 3 2 2 2 2 2 2 2 + + 70/9 y x z + 14/9 y z - 28/3 x y z + 49/3 x y z - 5/18 x + + 2 10 3 3 2 2 + - 10/3 x z - 2/3 z + 7/6 z - -- y x - 8/9 z y + 1/3 x + 7/54 y + 27 + + 2 2 245 2 2 3 2 3 2 3 2 + - 7 x z - --- x y z - 2/27 y + 4 x z + 14/9 y z + 4/9 y x + 18 + + 2 35 2 2 2 2 49 2 2 + + 70/9 x y z + -- x y - 7/9 x y + 35/6 x z - 1/18 - -- y z , + 54 18 + + 49 2 3 2 3 2 3 3 2 + COEFF(2, 0, 2) = -- z y x - 7/3 z y x + 4/3 z y x - 7/3 y x z + 12 + + 2 49 2 2 343 2 2 2 2 + - 7/36 y z + -- x y z - --- x y z + 1/12 x + x z + 1/12 z - 7/48 z + 12 48 + + 3 3 2 2 49 2 2 49 2 2 + + 1/9 y x + 1/9 z y - 7/48 x - 7/432 y + -- x z + -- x y z + 16 12 + + 3 2 3 2 3 2 2 2 + + 1/108 y - 7/4 x z - 7/36 y z - 7/36 y x - 7/3 x y z - 7/36 x y + + 49 2 2 2 49 2 2 3 2 + + --- x y - 7/4 x z + 1/144 + --- y z , COEFF(3, 0, 2) = 1/3 z y x + 144 144 + + 2 3 2 2 2 49 2 2 2 49 2 2 + - 1/72 x - 7/12 z y x - 7/12 x y z + -- x y z - -- x y z + 48 72 + + 2 2 3 2 2 2 2 2 + - 7/144 x y + 1/36 y x + 1/4 x z + 7/216 x y + 1/48 x + 7/18 x y z + + 2 2 3 2 3 2 3 + - 7/16 x z + 7/18 y x z - 2/9 z y x + 7/24 x z - 1/54 y x - 1/6 x z + + 2 3 2 3 2 2 2 + , COEFF(-2, 1, 2) = - 7/12 z y x + 1/3 z y x + 7/24 x y z + + 3 3 2 2 2 2 2 + - 4/9 z y x + 7/9 y x z - 1/6 x y z - 5/36 y z - 5/12 x y z + + 35 2 2 2 3 3 2 + + -- x y z - 1/18 y z - 1/216 y - 1/27 y x + 1/9 z y - 5/432 y + 48 + + 35 2 2 3 3 2 3 2 2 + - -- x y z + 1/108 y - 7/36 y z + 1/36 y x + 2/9 x y z + 5/9 x y z + 36 + + 2 2 2 2 2 + - 7/18 x y z + 5/108 x y + 1/54 x y - 1/72 x y - 5/144 x y + + 2 35 2 2 49 2 3 2 3 2 + + 7/72 y z + --- y z , COEFF(-1, 1, 2) = -- z y x - 7/3 z y x + 144 12 + + 49 2 2 3 3 2 2 2 + - -- x y z + 10/3 z y x - 35/6 y x z + 7/6 x y z + 10/9 y z + 24 + + 35 2 2 245 2 2 2 3 3 + + -- x y z - --- x y z + 4/9 y z + 1/27 y + 5/18 y x - 8/9 z y + 12 48 + + 2 175 2 2 3 3 2 3 2 + + 5/54 y + --- x y z - 2/27 y + 14/9 y z - 7/36 y x - 5/3 x y z + 24 + + 2 35 2 25 2 2 35 2 2 + - 25/6 x y z + -- x y z - -- x y - 5/36 x y + 7/72 x y + --- x y + 12 72 144 + + 2 35 2 2 2 2 14 3 + - 7/9 y z - -- y z , COEFF(0, 1, 2) = 14/3 x y z - -- y x + 18 27 + + 2 3 2 2 3 3 2 2 + - 28/3 z y x + 70/9 x y z - 56/9 z y x + 98/9 y x z - 2/9 x y + + 2 2 2 2 35 2 2 + - 20/3 x y z - 5/9 x y + -- x y + 7/27 x y - 8/3 x y z + 28/9 x y z + 54 + + 3 2 2 2 2 245 2 2 3 2 2 + + 4/9 y x + 35/3 x y z - --- x y z + 16/3 z y x - 49/9 x y z , + 18 + + 2 3 2 3 2 2 2 3 + COEFF(1, 1, 2) = 28/3 z y x - 16/3 z y x - 14/3 x y z + 40/9 z y x + + 3 2 2 2 2 2 2 2 2 + - 70/9 y x z + 8/3 x y z - 10/9 y z + 20/3 x y z - 35/3 x y z + + 10 3 3 2 175 2 2 3 + - 4/9 y z - 1/27 y + -- y x + 8/9 z y - 5/54 y + --- x y z + 2/27 y + 27 18 + + 3 2 3 2 2 2 + - 14/9 y z - 4/9 y x - 20/9 x y z - 50/9 x y z + 35/9 x y z + + 25 2 2 2 2 2 35 2 2 + - -- x y - 5/27 x y + 2/9 x y + 5/9 x y + 7/9 y z + -- y z , + 54 18 + + 49 2 3 2 3 2 49 2 2 3 + COEFF(2, 1, 2) = - -- z y x + 7/3 z y x + -- x y z - 4/3 z y x + 12 24 + + 3 2 2 2 35 2 2 245 2 2 2 + + 7/3 y x z - 7/6 x y z + 5/36 y z - -- x y z + --- x y z + 12 48 + + 3 3 2 35 2 2 + + 1/18 y z + 1/216 y - 1/9 y x - 1/9 z y + 5/432 y - -- x y z + 12 + + 3 3 2 3 2 2 2 + - 1/108 y + 7/36 y z + 7/36 y x + 2/3 x y z + 5/3 x y z - 7/6 x y z + + 2 2 35 2 2 2 35 2 2 + + 5/36 x y + 1/18 x y - 7/72 x y - --- x y - 7/72 y z - --- y z , + 144 144 + + 2 2 35 2 2 35 2 2 2 3 2 + COEFF(3, 1, 2) = - 7/24 x y z + -- x y z - -- x y z - 1/36 y x + 72 48 + + 2 2 2 2 + - 1/9 x y z + 1/6 x y z + 7/36 x y z + 1/72 x y - 5/216 x y + + 2 2 3 3 2 3 + + 5/144 x y + 1/54 y x - 1/108 x y - 1/3 z y x + 2/9 z y x + + 2 3 2 3 2 2 2 2 + + 7/12 z y x - 7/18 y x z + 5/12 x y z - 5/18 x y z, + + 49 2 3 2 3 2 2 2 3 + COEFF(-2, 2, 2) = --- z y x - 7/48 z y x - 7/192 x y z + 7/36 z y x + 192 + + 49 3 2 2 2 2 2 2 2 2 + - --- y x z + 1/48 x y z + 1/24 y z + 1/8 x y z - 7/32 x y z + 144 + + 3 3 2 2 2 + + 1/144 y z + 1/1728 y + 7/432 y x - 7/144 z y + 1/288 y + 7/24 x y z + + 3 49 3 2 3 2 2 + - 7/1728 y + --- y z - 7/576 y x - 1/36 x y z - 1/6 x y z + 576 + + 2 2 2 2 2 + + 7/144 x y z - 1/72 x y - 1/432 x y + 1/576 x y + 1/96 x y + + 2 2 2 343 2 3 2 49 3 2 + - 7/576 y z - 7/96 y z , COEFF(-1, 2, 2) = - --- z y x + -- z y x + 192 48 + + 49 2 2 35 3 245 3 2 2 2 + + --- x y z - -- z y x + --- y x z - 7/48 x y z - 1/3 y z + 192 24 96 + + 2 2 49 2 2 2 35 3 3 + - 7/8 x y z + -- x y z - 1/18 y z - 1/216 y - --- y x + 7/18 z y + 32 288 + + 2 35 2 2 3 49 3 2 49 3 2 + - 1/36 y - -- x y z + 7/216 y - -- y z + --- y x + 5/24 x y z + 16 72 576 + + 2 35 2 2 2 2 2 + + 5/4 x y z - -- x y z + 5/48 x y + 5/288 x y - 7/576 x y - 7/96 x y + 96 + + 2 2 2 3 2 2 + + 7/72 y z + 7/12 y z , COEFF(0, 2, 2) = - 7/36 y x + 1/3 x y z + + 2 2 2 2 2 2 49 3 + + 2 x y z - 7/36 x y - 7/2 x y z - 7/216 x y + -- z y x + 18 + + 2 49 2 2 2 2 3 2 343 3 2 + - 7/3 x y z + -- x y z + 1/6 x y - 7/3 z y x - --- y x z + 12 72 + + 49 2 2 2 2 49 3 + + -- x y z - 7/18 x y z + 1/36 x y - 7/12 x y z + --- y x + 72 216 + + 49 2 3 2 49 2 3 2 3 2 2 2 + + -- z y x , COEFF(1, 2, 2) = - -- z y x + 7/3 z y x + 7/12 x y z + 12 12 + + 35 3 245 3 2 2 2 2 2 + - -- z y x + --- y x z - 1/3 x y z + 1/3 y z - 2 x y z + 18 72 + + 2 2 2 35 3 3 2 + + 7/2 x y z + 1/18 y z + 1/216 y - --- y x - 7/18 z y + 1/36 y + 216 + + 35 2 2 3 49 3 2 3 2 2 + - -- x y z - 7/216 y + -- y z + 7/36 y x + 5/18 x y z + 5/3 x y z + 12 72 + + 35 2 2 2 2 2 2 + - -- x y z + 5/36 x y + 5/216 x y - 1/36 x y - 1/6 x y - 7/72 y z + 72 + + 2 2 343 2 3 2 49 3 2 49 2 2 + - 7/12 y z , COEFF(2, 2, 2) = --- z y x - -- z y x - --- x y z + 192 48 192 + + 3 49 3 2 2 2 2 2 + + 7/12 z y x - -- y x z + 7/48 x y z - 1/24 y z + 7/8 x y z + 48 + + 49 2 2 2 3 3 2 + - -- x y z - 1/144 y z - 1/1728 y + 7/144 y x + 7/144 z y - 1/288 y + 32 + + 2 2 3 49 3 2 49 3 2 + + 7/8 x y z + 7/1728 y - --- y z - --- y x - 1/12 x y z + 576 576 + + 2 2 2 2 + - 1/2 x y z + 7/48 x y z - 1/24 x y - 1/144 x y + 7/576 x y + + 2 2 2 2 2 3 + + 7/96 x y + 7/576 y z + 7/96 y z , COEFF(3, 2, 2) = - 7/864 y x + + 2 2 2 2 49 2 3 2 + + 1/72 x y z - 1/576 x y - 7/48 x y z + 1/144 x y - --- z y x + 192 + + 49 3 2 3 2 2 2 2 2 2 + + --- y x z + 7/48 z y x - 1/96 x y + 1/12 x y z - 1/8 x y z + 288 + + 3 2 2 2 2 2 2 2 + - 7/72 z y x - 7/288 x y z + 7/32 x y z - 1/48 x y z + 7/192 x y z + + 3 2 3 2 3 + + 7/576 y x + 1/864 x y, COEFF(-2, 3, 2) = - 7/576 y z - 1/36 z y x + + 3 2 2 2 2 2 + + 1/1728 y + 1/432 x y - 1/1728 y - 1/144 y z - 1/576 x y + + 2 2 2 2 2 2 2 2 + - 1/48 x y z + 1/36 x y z + 7/192 x y z - 7/144 x y z + + 3 2 2 2 3 2 3 2 3 + + 1/576 y x + 7/576 y z - 1/432 y x - 7/192 z y x + 1/144 z y + + 3 2 3 2 49 2 2 2 + + 1/48 z y x + 7/144 y x z , COEFF(-1, 3, 2) = - --- x y z + 192 + + 3 2 3 2 2 3 2 2 2 + - 7/48 z y x + 5/288 y x - 7/72 y z - 7/576 y x + 7/576 x y + + 2 3 2 2 3 2 + - 5/288 x y - 1/18 z y - 5/24 x y z + 1/18 y z + 7/72 y z + + 35 2 2 49 2 3 2 2 35 3 2 3 + + -- x y z + --- z y x + 1/216 y - -- y x z + 5/24 z y x + 96 192 96 + + 3 2 2 2 2 2 2 3 2 + - 1/216 y + 7/48 x y z, COEFF(0, 3, 2) = 7/12 x y z - 7/12 z y x + + 49 2 2 3 3 49 3 2 2 2 + - -- x y z - 7/18 z y x - 7/216 y x + -- y x z - 1/3 x y z + 72 72 + + 2 3 2 2 2 2 3 2 + + 7/18 x y z + 1/36 y x + 7/216 x y - 1/36 x y + 1/3 z y x , + + 2 3 2 3 35 3 2 + COEFF(1, 3, 2) = - 5/18 x y z - 7/72 y z + 5/18 z y x - -- y x z + 72 + + 2 3 2 3 2 2 2 2 2 + - 1/216 y - 1/3 z y x + 1/18 z y + 1/36 x y - 7/12 x y z + + 35 2 2 3 2 2 3 2 2 2 3 + + -- x y z - 1/36 y x + 7/12 z y x + 7/72 y z + 1/216 y + 72 + + 2 2 3 2 2 + - 5/216 x y - 1/18 y z + 5/216 y x + 1/3 x y z, COEFF(2, 3, 2) = + + 2 2 2 3 2 2 + 1/144 y z + 1/12 x y z + 1/144 x y - 1/144 z y - 7/576 x y + + 2 2 2 2 3 2 2 3 + - 7/576 y z - 7/48 x y z - 1/144 y x - 7/48 x y z - 1/12 z y x + + 3 2 3 2 49 2 2 2 49 2 3 2 3 2 + + 7/576 y x + 7/576 y z + --- x y z - --- z y x + 7/48 y x z + 192 192 + + 3 2 3 2 3 2 + + 7/48 z y x - 1/1728 y + 1/1728 y , COEFF(3, 3, 2) = - 1/48 z y x + + 2 3 2 2 2 2 2 2 2 2 + + 7/192 z y x - 7/192 x y z + 7/288 x y z + 1/48 x y z + + 2 2 3 2 2 2 3 + - 1/864 x y - 1/72 x y z - 7/288 y x z + 1/576 x y + 1/72 z y x + + 3 2 3 2 2 2 + - 1/576 y x + 1/864 y x, COEFF(-2, -2, 3) = 1/288 y z + 1/288 x y z + + 2 2 2 2 3 2 + - 1/216 x y z - 1/72 x y z - 1/576 y z - 1/432 y z - 1/576 y z + + 2 2 3 2 3 2 2 + + 1/144 x y z + 1/864 y z - 1/192 z y x - 1/216 z y x - 1/144 x y z + + 3 2 3 2 2 2 2 2 2 + + 1/144 y x z + 1/288 z y x + 1/96 x y z - 1/192 x y z + + 3 2 2 + + 1/864 z y + 1/108 x y z, COEFF(-1, -2, 3) = 1/54 y z - 1/108 y z + + 2 2 2 2 3 2 2 3 2 + - 5/72 x y z - 1/36 y z - 5/96 x y z + 1/72 y z + 7/192 z y x + + 2 3 2 2 2 2 2 + - 7/288 x y z + 5/144 z y x + 7/144 x y z + 7/192 x y z + 1/72 y z + + 3 2 2 2 2 2 2 + + 5/144 x y z - 5/96 y x z + 5/48 x y z - 7/96 x y z + + 3 2 3 3 + - 7/288 z y x - 1/108 z y , COEFF(0, -2, 3) = - 7/108 z y x + + 2 2 2 2 2 2 3 2 + + 1/18 x y z - 7/36 x y z + 1/6 x y z - 7/108 x y z + 7/72 y x z + + 2 3 2 2 3 2 2 2 2 + + 7/72 x y z + 1/18 z y x - 1/12 z y x + 7/54 x y z - 1/9 x y z + + 2 2 2 2 3 2 + - 1/12 x y z , COEFF(1, -2, 3) = - 5/54 x y z + 1/12 z y x + + 2 2 2 2 3 2 2 3 + + 5/36 x y z + 1/36 y z - 1/18 z y x - 1/72 y z + 5/108 z y x + + 2 2 2 2 2 2 + - 5/72 x y z - 1/18 x y z - 1/54 y z + 5/108 x y z - 1/6 x y z + + 3 2 3 2 2 3 2 + - 1/72 y z + 1/108 z y + 1/9 x y z - 5/72 y x z + 1/108 y z + + 2 2 3 2 2 + + 1/12 x y z , COEFF(2, -2, 3) = - 1/864 z y - 7/192 x y z + + 2 3 2 2 3 2 2 + + 7/288 x y z - 1/72 x y z + 1/576 y z - 7/192 z y x + 1/576 y z + + 2 3 2 3 2 + - 1/864 y z + 1/36 x y z - 1/72 z y x + 1/48 x y z + 1/48 y x z + + 2 2 3 2 2 2 2 2 2 2 + - 1/24 x y z + 7/288 z y x + 1/432 y z - 1/288 y z + 7/96 x y z + + 2 2 2 3 2 3 2 + - 7/144 x y z, COEFF(3, -2, 3) = 1/192 z y x - 1/288 z y x + + 2 2 2 2 2 2 2 + - 1/96 x y z + 1/144 x y z + 1/192 x y z + 1/432 x y z + + 2 3 2 2 3 2 + - 1/288 x y z + 1/432 z y x + 1/144 x y z - 1/288 y x z + + 2 2 3 + - 1/288 x y z - 1/216 x y z, COEFF(-2, -1, 3) = 7/216 z y x + + 2 2 2 2 2 2 2 2 + + 5/96 x y z - 5/72 x y z + 1/72 y z + 5/288 y z - 5/64 x y z + + 3 2 2 2 2 3 2 3 + + 7/576 y z + 1/24 x y z - 1/36 x y z - 7/144 y x z - 7/864 z y + + 2 2 3 2 2 2 + + 5/48 x y z - 1/108 y z + 1/27 x y z - 7/288 z y x - 5/192 y z + + 2 3 2 2 25 2 2 + + 7/192 z y x - 1/18 x y z , COEFF(-1, -1, 3) = - -- x y z + 2/27 y z + 32 + + 3 2 35 2 2 2 2 35 3 2 25 2 + - 7/72 y z + -- x y z - 1/9 y z + -- y x z + -- x y z + 64 96 48 + + 2 2 2 2 49 2 3 2 + - 7/24 x y z + 5/12 x y z + 7/36 x y z - --- z y x - 5/18 x y z + 192 + + 3 35 2 2 35 3 2 2 2 + + 7/108 z y - -- x y z - --- z y x - 5/36 y z + 5/24 y z + 96 144 + + 49 3 2 49 3 2 2 2 2 2 + + --- z y x , COEFF(0, -1, 3) = - -- y x z - 7/9 x y z - 5/4 x y z + 288 72 + + 35 2 2 2 2 2 3 2 2 + - -- x y z + 2/3 x y z + 5/6 x y z - 7/18 z y x - 4/9 x y z + 36 + + 35 2 2 49 3 2 3 2 14 + + -- x y z + --- z y x + 7/12 z y x + -- x y z, COEFF(1, -1, 3) = + 24 108 27 + + 2 2 2 35 3 2 3 25 2 2 25 2 + 4/9 x y z - 5/6 x y z + -- y x z - 7/108 z y - -- x y z + -- x y z + 72 24 36 + + 10 2 2 2 2 2 2 + - -- x y z - 5/24 y z + 1/9 y z + 5/36 y z - 2/3 x y z + 27 + + 2 2 2 3 2 2 3 2 35 3 + + 5/4 x y z - 2/27 y z + 7/18 z y x - 7/12 z y x - --- z y x + 108 + + 2 3 2 3 + + 5/9 x y z + 7/72 y z , COEFF(2, -1, 3) = 1/9 x y z + 7/864 z y + + 3 3 2 2 2 2 2 + + 7/72 z y x - 7/576 y z + 7/24 x y z - 5/24 x y z - 5/288 y z + + 2 2 49 3 2 2 35 2 2 2 + + 5/16 x y z - --- z y x - 1/72 y z + -- x y z - 1/6 x y z + 288 96 + + 35 2 2 2 2 49 2 3 2 3 2 + - -- x y z - 7/36 x y z + 1/108 y z + --- z y x - 7/48 y x z + 64 192 + + 2 2 2 + + 5/192 y z , COEFF(3, -1, 3) = - 1/54 x y z + 1/36 x y z + + 3 2 2 2 2 2 2 2 3 2 + + 7/288 y x z + 5/64 x y z - 5/96 x y z - 7/192 z y x + + 2 2 2 2 3 2 3 + + 5/144 x y z - 5/96 x y z + 1/36 x y z + 7/288 z y x - 7/432 z y x + + 2 2 3 2 2 2 + - 1/24 x y z , COEFF(-2, 0, 3) = - 2/27 z y x - 1/48 z - 7/72 x y z + + 2 2 3 3 2 2 3 2 + - 7/36 x y z + 1/72 z + 1/54 z y + 1/18 z y x - 1/12 z y x + + 2 2 3 2 2 2 3 2 + + 7/144 y z + 1/9 y x z - 7/216 y z + 1/24 x z - 1/36 y z + + 2 2 2 2 2 2 2 + + 7/54 x y z + 1/12 x z - 1/18 x z + 7/48 x y z - 1/16 x z , + + 35 2 49 2 2 2 3 2 3 + COEFF(-1, 0, 3) = - -- x y z - -- x y z - 7/18 z y x - 4/27 z y + 36 48 + + 2 2 35 2 2 2 2 3 2 + - 7/24 x z - 1/9 z + 1/6 z + -- x y z - 7/18 y z + 2/9 y z + 24 + + 49 2 2 3 2 2 3 2 2 2 + + -- x y z - 5/6 y x z + 5/12 x z + 7/12 z y x + 7/16 x z + 72 + + 2 2 3 + + 7/27 y z - 5/8 x z + 5/9 z y x, COEFF(0, 0, 3) = - 7/9 x z + + 28 3 2 3 2 2 2 3 2 2 + - -- z y x + 7/6 x z + 14/9 y x z - x z + 8/9 z y x + 2/3 x z + 27 + + 2 2 2 3 2 2 2 2 49 2 49 2 2 + - 14/9 x y z - 4/3 z y x + 7/3 x y z + -- x y z - -- x y z , + 27 18 + + 2 2 2 3 2 35 2 3 2 + COEFF(1, 0, 3) = x z + 4/3 z y x - -- x y z - 2/9 y z + 27 + + 2 2 3 2 35 2 2 2 2 2 + + 14/9 x y z - 10/9 y x z + -- x y z + 1/9 z + 7/18 y z - 2/3 x z + 18 + + 2 2 2 3 3 2 2 20 3 + - 7/3 x y z + 4/27 z y - 8/9 z y x + 5/9 x z - 1/6 z + -- z y x + 27 + + 2 2 3 2 + - 7/27 y z - 5/6 x z , COEFF(2, 0, 3) = - 1/72 z + 1/36 y z + + 3 2 49 2 2 2 2 3 2 2 + + 7/18 z y x + -- x y z - 1/6 x z - 7/12 z y x + 1/48 z + 48 + + 2 49 2 2 3 2 2 2 2 + + 7/24 x z - -- x y z - 1/54 z y + 1/4 x z - 7/144 y z + 7/216 y z + 72 + + 2 2 2 2 2 3 3 2 + - 7/16 x z + 7/18 x y z - 7/12 x y z - 2/9 z y x + 1/3 y x z , + + 2 2 2 2 2 + COEFF(3, 0, 3) = 1/36 x z + 7/72 x y z - 1/24 x z + 7/72 x y z + + 3 2 2 3 2 2 2 2 + + 1/27 z y x - 7/108 x y z + 1/12 z y x + 1/16 x z - 1/24 x z + + 3 2 3 2 2 2 2 + - 1/18 z y x - 1/18 y x z - 7/48 x y z , COEFF(-2, 1, 3) = + + 3 2 2 2 2 + - 1/54 z y + 1/18 x y z - 1/27 x y z - 1/24 x y z - 1/72 y z + + 3 2 2 3 2 3 2 2 2 2 3 2 + + 1/36 y z + 1/12 z y x - 1/9 y x z - 5/48 x y z - 1/18 z y x + + 2 2 2 2 3 + + 5/216 y z - 5/144 y z + 1/36 x y z + 2/27 z y x + 1/108 y z + + 2 2 2 2 2 + + 5/72 x y z - 5/54 x y z + 5/36 x y z , COEFF(-1, 1, 3) = + + 25 2 2 35 2 2 2 2 25 2 3 + - -- x y z - -- x y z + 7/24 x y z + -- x y z - 5/9 z y x + 24 72 36 + + 35 2 2 2 3 2 3 2 2 + + -- x y z + 7/18 z y x + 4/27 z y + 1/9 y z - 5/12 x y z + 48 + + 3 2 2 2 3 2 + - 2/9 y z - 2/27 y z - 7/36 x y z + 5/18 x y z - 7/12 z y x + + 3 2 2 2 2 3 2 + + 5/6 y x z - 5/27 y z + 5/18 y z , COEFF(0, 1, 3) = - 14/9 y x z + + 2 2 2 2 35 2 2 2 3 2 + - 5/3 x y z + 4/9 x y z - -- x y z + 7/9 x y z + 4/3 z y x + 27 + + 2 2 28 3 35 2 2 14 3 2 + - 2/3 x y z + -- z y x + -- x y z - -- x y z - 8/9 z y x + 27 18 27 + + 2 2 2 2 10 2 + + 10/9 x y z, COEFF(1, 1, 3) = 2/3 x y z + -- x y z - 4/9 x y z + 27 + + 20 3 2 2 2 2 3 2 3 2 + - -- z y x - 5/9 x y z + 5/3 x y z + 8/9 z y x + 10/9 y x z + 27 + + 2 2 2 25 2 2 25 2 2 + - 5/18 y z - 1/9 y z - -- x y z + 2/27 y z + -- x y z + 5/27 y z + 18 27 + + 2 2 2 3 2 3 2 3 + - 10/9 x y z - 4/3 z y x + 2/9 y z - 4/27 z y , COEFF(2, 1, 3) = + + 3 2 2 2 35 2 2 35 2 2 2 + 2/9 z y x - 5/18 x y z + 5/12 x y z + -- x y z - -- x y z + 72 48 + + 3 2 3 2 2 3 2 2 + - 7/18 z y x - 1/36 y z + 1/6 x y z - 1/3 y x z + 7/36 x y z + + 3 2 2 3 2 2 2 + + 1/54 z y - 1/108 y z + 1/72 y z + 7/12 z y x + 5/144 y z + + 2 2 2 2 2 2 + - 5/216 y z - 1/9 x y z - 7/24 x y z , COEFF(3, 1, 3) = 5/48 x y z + + 3 2 2 2 2 2 + + 1/54 x y z + 1/18 y x z - 5/72 x y z + 5/108 x y z - 1/36 x y z + + 2 2 2 2 2 3 2 3 + + 1/24 x y z - 5/72 x y z - 1/36 x y z + 1/18 z y x - 1/27 z y x + + 2 3 2 2 2 2 3 2 + - 1/12 z y x , COEFF(-2, 2, 3) = 1/32 x y z - 7/576 y z + + 2 3 2 3 2 3 + + 1/36 x y z + 7/864 z y - 1/144 y z + 7/144 y x z - 7/216 z y x + + 2 2 2 3 2 2 + - 1/48 x y z - 7/192 z y x + 1/216 x y z + 1/576 y z - 1/864 y z + + 2 2 2 3 2 2 2 2 2 + + 1/192 x y z - 1/288 x y z + 7/288 z y x + 1/96 y z - 1/24 x y z + + 2 49 3 2 2 + - 1/144 x y z , COEFF(-1, 2, 3) = 1/108 y z - --- z y x - 5/24 x y z + 288 + + 35 3 2 2 2 2 2 2 + + --- z y x + 5/96 x y z + 7/48 x y z + 1/18 y z + 5/16 x y z + 144 + + 49 2 3 2 2 2 2 2 2 3 2 + + --- z y x - 7/192 x y z - 7/32 x y z - 5/144 x y z + 7/72 y z + 192 + + 2 35 3 2 3 2 2 2 + + 7/288 x y z - -- y x z - 7/108 z y - 1/72 y z - 1/12 y z , + 96 + + 49 3 3 2 2 2 2 3 2 + COEFF(0, 2, 3) = - --- z y x + 7/18 z y x - 1/3 x y z - 7/12 z y x + 108 + + 2 2 2 2 2 49 3 2 + + 1/2 x y z - 1/18 x y z + 7/108 x y z - 7/72 x y z + -- y x z + 72 + + 2 2 2 2 2 + + 7/18 x y z - 7/12 x y z + 1/12 x y z , COEFF(1, 2, 3) = + + 2 3 2 35 3 3 2 2 2 2 2 + 7/12 z y x + --- z y x + 7/108 z y - 1/2 x y z + 1/12 y z + 108 + + 2 2 2 2 2 2 + - 1/12 x y z - 5/108 x y z + 5/12 x y z - 1/108 y z + 1/3 x y z + + 2 3 2 35 3 2 2 2 + + 1/72 y z - 7/72 y z - -- y x z + 5/72 x y z - 1/18 y z + 72 + + 3 2 2 2 2 2 + - 7/18 z y x - 5/18 x y z + 1/18 x y z, COEFF(2, 2, 3) = - 1/8 x y z + + 3 2 2 3 49 2 3 2 3 2 + - 7/72 z y x - 1/96 y z - 7/864 z y - --- z y x + 7/48 y x z + 192 + + 2 2 2 3 2 2 2 2 + + 1/864 y z + 7/32 x y z + 7/576 y z - 1/48 x y z + 7/192 x y z + + 49 3 2 2 2 2 2 + + --- z y x + 1/12 x y z - 1/576 y z - 7/288 x y z + 1/144 y z + 288 + + 2 2 2 2 2 + + 1/72 x y z - 7/48 x y z, COEFF(3, 2, 3) = 1/288 x y z - 1/192 x y z + + 2 2 2 2 2 2 2 + - 1/432 x y z + 1/48 x y z - 1/32 x y z + 1/48 x y z + + 2 3 2 3 2 2 2 + + 7/192 z y x - 7/288 y x z - 1/72 x y z + 1/288 x y z + + 3 2 3 2 2 + - 7/288 z y x + 7/432 z y x, COEFF(-2, 3, 3) = - 1/576 y z + + 2 2 2 2 2 2 3 2 + - 1/216 x y z - 1/192 x y z + 1/144 x y z - 1/288 z y x + + 3 2 2 2 3 2 3 2 + - 1/144 y x z + 1/288 x y z + 1/216 z y x + 1/192 z y x + + 3 2 2 3 3 2 + + 1/576 y z + 1/864 y z - 1/864 z y , COEFF(-1, 3, 3) = 7/288 z y x + + 3 3 2 2 3 2 2 2 2 3 + + 1/108 z y - 1/72 y z - 7/192 z y x + 7/192 x y z - 5/144 z y x + + 2 2 2 2 2 3 2 2 2 + + 1/72 y z - 7/288 x y z + 5/144 x y z + 5/96 y x z - 5/96 x y z + + 2 2 3 2 3 2 2 + - 1/108 y z, COEFF(0, 3, 3) = 1/12 z y x - 1/18 z y x - 7/108 x y z + + 3 2 2 2 3 2 2 + - 7/72 y x z + 1/18 x y z + 7/108 z y x + 7/72 x y z + + 2 2 2 3 2 2 2 + - 1/12 x y z , COEFF(1, 3, 3) = 5/72 y x z - 5/72 x y z + + 3 3 2 3 2 3 2 2 + - 5/108 z y x - 1/108 z y - 1/12 z y x + 1/18 z y x + 1/108 y z + + 2 2 2 3 2 2 2 2 2 2 + + 1/12 x y z + 1/72 y z - 1/72 y z + 5/108 x y z - 1/18 x y z, + + 3 2 2 2 3 2 3 + COEFF(2, 3, 3) = - 1/48 y x z + 1/48 x y z - 1/576 y z + 1/864 z y + + 2 3 2 2 2 2 2 2 + - 1/864 y z + 1/72 z y x - 7/192 x y z - 1/72 x y z + 7/288 x y z + + 2 2 2 3 2 3 2 + + 1/576 y z + 7/192 z y x - 7/288 z y x , COEFF(3, 3, 3) = + + 2 2 2 2 2 2 2 3 2 + - 1/288 x y z + 1/192 x y z + 1/432 x y z - 1/192 z y x + + 3 2 3 2 2 3 2 + + 1/288 y x z - 1/432 z y x - 1/288 x y z + 1/288 z y x ] + +> print_coeff__lc_of_data(%, "coeff_dxz_", "fp", +> "3d.coeffs/3d.cube.order3/coeff-dxz.compute.c"); +bytes 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y z DATA(0, 2, 3) + 72 72 + + 2 2 35 2 2 + + 1/3 x y z DATA(3, 1, 2) + -- x y z DATA(3, 2, -1) + 96 + + 2 2 2 2 + - 1/18 x y z DATA(3, 1, 3) - 7/48 x y z DATA(3, 2, 2) + + 2 2 245 2 2 + + 7/288 x y z DATA(3, 2, 3) + --- x y z DATA(0, -1, 1) + 18 + + 245 2 2 35 2 2 + + --- x y z DATA(0, -1, -1) - -- x y z DATA(0, -2, -1) + 24 24 + + 35 2 2 35 2 2 + + -- x y z DATA(3, 2, 1) - -- x y z DATA(3, -1, 1) + 72 72 + + 2 2 49 2 2 + - 28/3 x y z DATA(0, 1, 2) + -- x y z DATA(0, 2, 2) + 12 + + 2 2 245 2 2 + + 70/3 x y z DATA(0, 1, -1) - --- x y z DATA(0, 2, 1) + 18 + + 35 2 2 2 2 + - -- x y z DATA(3, -1, -1) + 1/288 x y z DATA(3, -2, 3) + 96 + + 2 2 2 2 + - 1/48 x y z DATA(3, -2, 2) + 5/96 x y z DATA(3, -2, -1) + + 49 2 2 245 2 2 + - -- x y z DATA(0, -1, 2) - --- x y z DATA(0, 2, -1) + 12 24 + + 2 2 2 2 + + 7/48 x y z DATA(3, -1, 2) - 7/288 x y z DATA(3, -1, 3) + + 2 2 2 2 + - 5/6 x y z DATA(3, 1, -1) + 280/9 x y z DATA(0, 1, 1) + + 49 2 2 2 2 + + -- x y z DATA(-2, 2, 0) + 70/3 x y z DATA(-1, 1, 0) + 36 + + 3 3 2 + + 128/9 z y x DATA(1, 0, 1) - 7/18 x y z DATA(1, 2, -2) + + 2 2 + + 4/9 x y z DATA(-1, 1, 3) - 5/12 x y z DATA(-1, -2, -1) + + 2 2 + + 1/6 x y z DATA(-1, -2, 2) - 1/36 x y z DATA(-1, -2, 3) + + 2 2 + - 4/9 x y z DATA(1, 1, 3) - 7/36 x y z DATA(1, -1, 3) + + 2 2 + - 1/3 x y z DATA(2, 1, 2) - 8/3 x y z DATA(-1, 1, 2) + + 2 2 + - 7/6 x y z DATA(1, 2, 2) - 5/6 x y z DATA(-2, 1, -1) + + 35 2 35 2 + - -- x y z DATA(2, 2, -1) - -- x y z DATA(2, 2, 1) + 96 72 + + 35 2 35 2 + + -- x y z DATA(2, -1, -1) + -- x y z DATA(2, -1, 1) + 96 72 + + 2 2 + - 7/6 x y z DATA(-1, -1, 2) - 7/48 x y z DATA(2, -1, 2) + + 2 2 + + 7/6 x y z DATA(-1, 2, 2) + 7/48 x y z DATA(2, 2, 2) + + 2 2 + + 7/36 x y z DATA(-1, -1, 3) + 7/6 x y z DATA(1, -1, 2) + + 2 2 + - 35/9 x y z DATA(1, -1, 1) - 20/3 x y z DATA(1, 1, -1) + + 35 2 2 + - -- x y z DATA(-1, 2, -1) - 35/9 x y z DATA(-1, 2, 1) + 12 + + 2 2 + + 5/6 x y z DATA(2, 1, -1) + 10/9 x y z DATA(2, 1, 1) + + 35 2 2 + + -- x y z DATA(1, 2, -1) + 35/9 x y z DATA(1, 2, 1) + 12 + + 2 2 + + 8/3 x y z DATA(1, 1, 2) - 1/18 x y z DATA(1, -2, -2) + + 2 35 2 + + 80/9 x y z DATA(-1, 1, 1) + -- x y z DATA(-1, -1, -1) + 12 + + 2 2 + + 35/9 x y z DATA(-1, -1, 1) + 20/3 x y z DATA(-1, 1, -1) + + 35 2 2 + - -- x y z DATA(1, -1, -1) + 7/36 x y z DATA(1, 2, 3) + 12 + + 2 2 + + 5/12 x y z DATA(1, -2, -1) - 1/6 x y z DATA(1, -2, 2) + + 2 2 + + 1/36 x y z DATA(1, -2, 3) - 5/96 x y z DATA(2, -2, -1) + + 2 2 + + 1/48 x y z DATA(2, -2, 2) + 7/18 x y z DATA(1, -1, -2) + + 2 2 + + 1/18 x y z DATA(-1, -2, -2) + 1/9 x y z DATA(-2, 1, -2) + + 2 2 + + 1/144 x y z DATA(2, -2, -2) - 1/144 x y z DATA(-2, -2, -2) + + 2 + - 80/9 x y z DATA(1, 1, 1) - 1/288 x y z DATA(2, -2, -2) + + + 1/288 x y z DATA(-2, -2, -2) - 32/9 x y z DATA(1, 1, 1) + + 2 2 + - 1/288 x y z DATA(2, -2, 3) + 7/288 x y z DATA(2, -1, 3) + + 2 2 + + 1/18 x y z DATA(2, 1, 3) - 7/288 x y z DATA(2, 2, 3) + + 2 2 + - 14/9 x y z DATA(2, 1, 0) - 112/9 x y z DATA(-1, 1, 0) + + 49 2 2 + + -- x y z DATA(2, 2, 0) - 10/9 x y z DATA(-2, 1, 1) + 72 + + 35 2 2 + + -- x y z DATA(-2, 2, 1) - 5/9 x y z DATA(-1, -2, 1) + 72 + + 2 2 + + 5/9 x y z DATA(1, -2, 1) - 5/72 x y z DATA(2, -2, 1) + + 2 2 + - 7/18 x y z DATA(-1, -1, -2) - 8/9 x y z DATA(-1, 1, -2) + + 2 + - 1/9 x y z DATA(2, 1, -2) - 2/9 x y z DATA(1, -2, -1) + + - 1/36 x y z DATA(1, -2, 2) + 1/36 x y z DATA(2, -2, -1) + + 2 + + 1/288 x y z DATA(2, -2, 2) + 49/9 x y z DATA(1, -1, 0) + + 2 2 + + 5/72 x y z DATA(-2, -2, 1) + 1/3 x y z DATA(-2, 1, 2) + + 2 2 + - 1/18 x y z DATA(-2, 1, 3) + 5/96 x y z DATA(-2, -2, -1) + + 2 2 + - 1/48 x y z DATA(-2, -2, 2) + 1/288 x y z DATA(-2, -2, 3) + + 35 2 2 + - -- x y z DATA(-2, -1, -1) + 7/48 x y z DATA(-2, -1, 2) + 96 + + 2 35 2 + - 7/288 x y z DATA(-2, -1, 3) + -- x y z DATA(-2, 2, -1) + 96 + + 2 2 + - 7/48 x y z DATA(-2, 2, 2) + 7/288 x y z DATA(-2, 2, 3) + + 2 2 + - 7/36 x y z DATA(-1, 2, 3) - 7/144 x y z DATA(2, -1, -2) + + 2 2 + + 7/18 x y z DATA(-1, 2, -2) + 7/144 x y z DATA(2, 2, -2) + + 2 2 + + 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DATA(2, -1, -2) + --- z x DATA(2, 0, -2) + 144 108 + + 2 3 245 2 3 + + 7/432 z x DATA(-1, 3, -2) + --- z x DATA(-1, 0, -1) + 72 + + 245 2 3 35 2 3 + + --- z x DATA(-1, 0, 1) + -- z x DATA(-1, 2, -1) + 54 48 + + 35 2 3 175 2 3 + + -- z x DATA(-1, 2, 1) + --- z x DATA(2, 1, -1) + 36 72 + + 175 2 3 175 2 3 + + --- z x DATA(2, 1, 1) - --- z x DATA(-1, 1, 1) + 54 54 + + 175 2 3 3 + - --- z x DATA(-1, -1, 1) - 5/18 z DATA(0, 1, 3) + 72 + + 175 2 2 245 2 3 + - --- x z DATA(0, -1, -1) - --- z x DATA(2, 0, -1) + 24 72 + + 245 2 3 2 3 + - --- z x DATA(2, 0, 1) + 70/9 z x DATA(1, 0, -1) + 54 + + 2 3 2 3 + + 5/144 z x DATA(3, -1, -2) - 1/72 z x DATA(3, 2, -2) + + 20 2 3 2 3 + + -- z x DATA(1, 1, -2) - 5/144 z x DATA(-2, -1, -2) + 27 + + 2 3 2 3 + - 7/108 z x DATA(3, 0, -2) + 5/9 z x DATA(1, -1, -2) + + 2 3 2 3 + - 7/216 z x DATA(-1, -2, -2) - 5/108 z x DATA(-2, 1, -2) + + 2 3 2 3 + + 7/216 z x DATA(2, -2, -2) - 7/72 z x DATA(-1, 2, -2) + + 2 3 2 3 + + 7/72 z x DATA(2, 2, -2) - 7/432 z x DATA(2, 3, -2) + + 25 2 3 25 2 3 + + -- z x DATA(-2, -1, 1) + -- z x DATA(-2, 1, 1) + 72 54 + + 2 3 2 3 + - 1/216 z x DATA(3, -2, -2) + 7/108 z x DATA(-2, 0, -2) + + 2 3 2 3 + + 1/72 z x DATA(-2, 2, -2) - 1/432 z x DATA(-2, 3, -2) + + 28 2 3 2 3 + - -- z x DATA(1, 0, -2) - 2/9 z x DATA(1, 2, -2) + 27 + + 2 3 2 3 + + 1/27 z x DATA(1, 3, -2) + 1/432 z x DATA(3, 3, -2) + + 3 2 3 + + 1/12 z DATA(0, 2, 3) + 1/144 z x DATA(3, 3, 2) + + 35 2 3 2 3 + + -- z x DATA(3, 0, -1) + 1/216 z x DATA(-2, -2, -2) + 72 + + 25 2 3 49 2 3 + + -- z x DATA(-2, 1, -1) + -- z x DATA(2, 0, 2) + 72 36 + + 2 3 2 3 + - 5/108 z x DATA(-2, -2, 1) - 1/864 z x DATA(3, 3, 3) + + 49 3 3 14 3 3 + + --- z x DATA(-1, 2, 2) - -- z x DATA(3, 0, 1) + 144 27 + + 35 3 3 3 3 + - --- z x DATA(3, 1, 2) + 5/216 z x DATA(3, 1, 3) + 216 + + 3 3 3 3 + - 7/144 z x DATA(3, 2, -1) + 7/144 z x DATA(3, 2, 2) + + 3 3 3 3 + + 5/18 z x DATA(3, -1, 1) - 1/9 z x DATA(3, 2, 1) + + 3 3 35 3 3 + + 1/54 z x DATA(3, 3, 1) + --- z x DATA(-2, 1, 2) + 216 + + 3 3 3 3 + - 5/216 z x DATA(-2, 1, 3) + 7/432 z x DATA(-2, -2, -1) + + 245 3 3 2 + + --- z x DATA(2, -1, 2) - 5/9 z DATA(0, 1, -2) + 288 + + 3 3 + + 7/288 z y x DATA(-2, 2, -2) - 7/18 z y x DATA(1, 2, -2) + + 3 3 + - 8/9 z y x DATA(1, 0, -2) - 1/288 z y x DATA(-2, 3, -2) + + 3 3 + + 7/288 z y x DATA(2, -2, -2) - 1/18 z y x DATA(-2, 1, -2) + + 3 3 + - 7/288 z y x DATA(-1, -2, -2) + 7/36 z DATA(0, -2, -1) + + 3 3 49 3 3 + - 7/27 z x DATA(0, -2, 2) - --- z x DATA(2, 2, 2) + 144 + + 35 3 3 245 3 3 + - -- z x DATA(1, -1, 2) + --- z x DATA(2, 1, 2) + 18 216 + + 245 3 3 3 3 + - --- z x DATA(-1, 1, 2) - 7/9 z x DATA(1, 2, -1) + 216 + + 49 2 2 2 2 + + -- x z DATA(0, 3, 0) - 49/9 x z DATA(0, 2, 0) + 54 + + 3 3 10 3 3 + - 1/27 z x DATA(3, -2, 1) + -- z x DATA(3, 1, 1) + 27 + + 35 3 3 49 3 3 + - --- z x DATA(-1, -1, -2) + --- z x DATA(-1, 0, -2) + 288 216 + + 3 3 14 3 3 + + 7/27 z x DATA(0, -2, -1) - -- z x DATA(0, 0, -2) + 27 + + 3 3 3 3 + + 1/54 z x DATA(0, 3, -2) - 1/27 z x DATA(0, -2, -2) + + 3 3 3 3 + - 40/9 z x DATA(0, -1, 1) - 5/18 z x DATA(0, -1, 3) + + 10 3 3 3 3 + - -- z x DATA(0, 1, 3) + 1/9 z x DATA(0, 2, 3) + 27 + + 160 3 3 3 3 + + --- z x DATA(1, 1, 1) - 1/9 z x DATA(0, 2, -2) + 27 + + 98 3 3 3 3 + - -- z x DATA(0, 0, 2) + 7/9 z x DATA(0, 2, -1) + 27 + + 3 3 98 3 3 + + 16/9 z x DATA(0, 2, 1) + -- z x DATA(0, 0, -1) + 27 + + 70 3 3 224 3 3 + - -- z x DATA(0, 1, -1) - --- z x DATA(1, 0, 1) + 27 27 + + 16 3 3 10 3 3 + + -- z x DATA(0, -2, 1) + -- z x DATA(0, 1, -2) + 27 27 + + 3 3 3 3 + + 5/18 z x DATA(0, -1, -2) + 40/9 z x DATA(0, -1, 0) + + 3 3 3 3 + + 1/27 z x DATA(3, -2, 0) - 7/54 z x DATA(0, 3, -1) + + 3 3 3 3 + + 7/54 z x DATA(0, 3, 2) - 1/54 z x DATA(0, 3, 3) + + 3 3 3 3 + - 8/27 z x DATA(0, 3, 1) - 7/9 z x DATA(0, 2, 2) + + 70 3 3 35 3 3 + + -- z x DATA(0, 1, 2) + -- z x DATA(0, -1, 2) + 27 18 + + 14 3 3 10 3 3 + + -- z x DATA(0, 0, 3) - -- z x DATA(3, 1, 0) + 27 27 + + 3 3 3 3 + + 1/9 z x DATA(3, 2, 0) + 8/27 z x DATA(0, 3, 0) + + 35 3 3 3 3 + - -- z x DATA(0, -1, -1) - 16/9 z x DATA(0, 2, 0) + 18 + + 3 2 3 + + 1/36 z DATA(0, -2, 3) - 7/24 z x DATA(-1, 2, 2) + + 2 3 2 3 + + 7/24 z x DATA(2, 2, 2) + 5/3 z x DATA(1, -1, 2) + + 35 2 3 245 2 2 + - -- z x DATA(2, 1, 2) + --- x z DATA(0, -1, 0) + 36 18 + + 3 3 3 3 + - 5/18 z x DATA(3, -1, 0) + 7/54 z x DATA(2, 3, 0) + + 16 3 3 160 3 3 + - -- z x DATA(0, -2, 0) - --- z x DATA(0, 1, 1) + 27 27 + + 3 3 3 3 + + 7/27 z x DATA(-1, -2, 0) - 7/27 z x DATA(2, -2, 0) + + 2 3 3 + - 1/12 z DATA(0, 2, 3) + 16/9 z x DATA(1, 2, 0) + + 2 2 3 3 + + 7/108 x z DATA(3, -2, 0) - 1/9 z x DATA(-2, 2, 0) + + 14 3 3 3 3 + - -- z x DATA(-2, 0, 0) - 8/27 z x DATA(1, 3, 0) + 27 + + 3 3 3 3 + - 1/54 z x DATA(3, 3, 0) - 7/54 z x DATA(-1, 3, 0) + + 160 3 3 35 3 3 + - --- z x DATA(1, 1, 0) + -- z x DATA(2, -1, 0) + 27 18 + + 70 3 3 70 3 3 + + -- z x DATA(2, 1, 0) - -- z x DATA(-1, 1, 0) + 27 27 + + 3 3 14 3 3 + - 7/9 z x DATA(2, 2, 0) + -- z x DATA(3, 0, 0) + 27 + + 224 3 3 14 3 3 + + --- z x DATA(1, 0, 0) - -- z x DATA(1, 0, 3) + 27 27 + + 49 3 3 3 3 + - --- z x DATA(-1, 0, 3) - 7/54 z x DATA(1, 3, 2) + 216 + + 3 3 3 3 + + 1/54 z x DATA(1, 3, 3) + 7/54 z x DATA(1, 3, -1) + + 98 3 3 35 2 2 + + -- z x DATA(-1, 0, 0) - -- x z DATA(3, -1, 0) + 27 72 + + 224 3 3 160 3 3 + - --- z x DATA(0, 0, 0) + --- z x DATA(0, 1, 0) + 27 27 + + 35 2 2 35 3 3 + - -- x z DATA(3, 1, 0) - -- z x DATA(-1, -1, 0) + 54 18 + + 10 3 3 3 3 + + -- z x DATA(-2, 1, 0) - 1/27 z x DATA(-2, -2, 0) + 27 + + 3 3 98 3 3 + - 40/9 z x DATA(1, -1, 0) - -- z x DATA(2, 0, 0) + 27 + + 3 3 3 3 + + 7/9 z x DATA(-1, 2, 0) - 1/9 z x DATA(1, 2, 3) + + 35 3 3 3 3 + - --- z x DATA(2, 1, 3) + 7/144 z x DATA(2, 2, 3) + 216 + + 3 3 3 3 + - 7/864 z x DATA(-2, 3, -1) + 7/864 z x DATA(-2, 3, 2) + + 49 3 3 49 3 3 + - --- z x DATA(2, 3, -1) + --- z x DATA(2, 3, 2) + 864 864 + + 3 3 3 3 + - 7/864 z x DATA(2, 3, 3) + 7/432 z x DATA(2, -2, 3) + + 3 3 35 3 3 + + 1/432 z x DATA(-2, -2, 3) - --- z x DATA(-2, -1, -1) + 288 + + 35 3 3 3 3 + + --- z x DATA(-2, -1, 2) - 7/27 z x 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7/36 z DATA(0, -2, 2) + --- z x DATA(3, 1, -1) + 216 + + 2 2 35 3 3 + + 7/36 x z DATA(3, 2, 0) + --- z x DATA(-1, -1, 3) + 288 + + 35 3 3 2 + + --- z x DATA(-1, 1, 3) - 5/9 z DATA(0, -2, 1) + 216 + + 3 3 3 3 + - 1/144 z x DATA(3, 2, 3) + 7/54 z x DATA(-1, 3, 1) + + 3 3 3 3 + - 7/54 z x DATA(2, 3, 1) - 7/432 z x DATA(3, -2, -1) + + 3 3 3 3 + + 7/432 z x DATA(3, -2, 2) - 1/432 z x DATA(3, -2, 3) + + 35 3 3 3 3 + + --- z x DATA(3, -1, -1) + 5/288 z x DATA(3, -1, 3) + 288 + + 3 343 3 3 + + 1/18 z y x DATA(1, 3, -2) + --- z x DATA(-1, 0, 2) + 216 + + 70 3 3 49 3 3 + - -- z x DATA(1, 1, 2) + --- z x DATA(2, 2, -1) + 27 144 + + 3 3 245 3 3 + + 7/9 z x DATA(2, 2, 1) - --- z x DATA(2, -1, -1) + 288 + + 98 3 3 3 3 + + -- z x DATA(1, 0, 2) + 40/9 z x DATA(1, -1, 1) + 27 + + 70 3 3 343 3 3 + + -- z x DATA(1, 1, -1) - --- z x DATA(-1, 0, -1) + 27 216 + + 98 3 3 49 3 3 + - -- z x DATA(-1, 0, 1) - --- z x DATA(-1, 2, -1) + 27 144 + + 3 3 3 3 + - 7/9 z x DATA(-1, 2, 1) - 16/9 z x DATA(1, 2, 1) + + 2 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DATA(3, -2, 0) - -- x DATA(2, 0, 0) + 18 + + 3 3 49 3 + + 4/3 x DATA(1, 2, 0) + 7/12 x DATA(-1, 2, 0) + -- x DATA(-1, 0, 0) + 18 + + 35 3 3 3 + - -- x DATA(-1, -1, 0) + 5/18 x DATA(-2, 1, 0) - 1/36 x DATA(-2, -2, 0) + 24 + + - 2/9 x DATA(1, -2, 0) + 1/36 x DATA(2, -2, 0) + 1/72 x DATA(-2, 3, 0) + + 490 2 2 + - 7/18 x DATA(-2, 0, 0) + --- x z DATA(0, 1, 0) + 27 + + 3 3 + + 7/18 z y x DATA(1, -1, -2) + 1/288 z y x DATA(3, 3, -2) + + 3 3 + + 1/288 z y x DATA(-2, -2, -2) - 1/288 z y x DATA(3, -2, -2) + + 3 2 3 3 + + 56/9 x DATA(1, 0, 0) + 7/3 x DATA(0, 2, 0) - 7/864 z x DATA(3, 3, 2) + + 3 3 49 3 3 + + 1/864 z x DATA(3, 3, 3) - --- z x DATA(3, 0, -1) + 216 + + 2 2 2 2 + - 7/18 x z DATA(2, -2, 0) + 7/36 x z DATA(2, 3, 0) + + 35 2 2 350 2 2 + - -- x z DATA(1, 3, 0) - --- x z DATA(1, 1, 0) + 54 27 + + 35 2 2 2 2 + - -- x z DATA(-1, 3, 0) - 7/216 x z DATA(3, 3, 0) + 72 + + 35 2 2 2 2 + + -- x z DATA(-1, 2, 0) + 35/9 x z DATA(1, 2, 0) + 12 + + 2 2 175 2 2 + - 7/6 x z DATA(2, 2, 0) - --- x z DATA(-1, 1, 0) + 18 + + 2 2 35 2 2 + - 7/18 x z DATA(-2, 2, 0) + -- x z DATA(-2, -1, 0) + 36 + + 35 2 2 3 3 + + -- x z DATA(1, -2, 0) + 7/27 z x DATA(2, -2, 1) + 27 + + 2 2 49 3 3 + + 7/108 x z DATA(-2, 3, 0) + --- z x DATA(3, 0, 2) + 216 + + 3 3 3 3 + - 7/216 z x DATA(3, 0, 3) + 8/27 z x DATA(1, 3, 1) + + 14 3 3 3 3 + + -- z x DATA(-2, 0, 1) - 1/54 z x DATA(-2, 3, 1) + 27 + + 3 3 16 3 3 + - 7/27 z x DATA(-1, -2, 1) - -- z x DATA(1, -2, 1) + 27 + + 3 3 35 3 3 + + 7/864 z x DATA(3, 3, -1) - -- z x DATA(2, -1, 1) + 18 + + 245 3 3 3 3 + - --- z x DATA(-1, -1, 2) + 1/27 z x DATA(1, -2, -2) + 288 + + 70 3 3 245 3 3 + + -- z x DATA(-1, 1, 1) + --- z x DATA(-1, -1, -1) + 27 288 + + 49 2 2 2 + - -- x z DATA(0, -2, 0) + 112/9 x y z DATA(0, 0, -1) + 27 + + 2 2 + + 14/9 x y z DATA(0, 0, 2) - 7/9 x y z DATA(0, 3, -1) + + 2 2 25 2 2 + + 5/216 x z DATA(3, 1, 3) + -- x z DATA(3, 1, -1) + 72 + + 2 2 2 2 + - 5/48 x z DATA(3, 2, -1) - 5/36 x z DATA(2, 3, 1) + + 25 2 2 2 2 + + -- x z DATA(-1, 3, 1) - 1/144 x z DATA(3, 2, 3) + 72 + + 2 2 25 2 2 + + 1/24 x z DATA(3, 2, 2) + -- x z DATA(3, -1, 1) + 72 + + 2 2 2 2 + - 5/108 x z DATA(-2, 1, 3) + 5/18 x z DATA(-2, 1, 2) + + 2 2 2 + - 5/36 x z DATA(3, 1, 2) - 14/9 x y z DATA(0, 0, -2) + + 2 2 2 + + 7/72 x y z DATA(0, 3, -2) + 5/6 x z DATA(1, 2, 2) + + 2 2 2 2 + - 5/144 x z DATA(-1, -2, 3) + 5/288 x z DATA(3, -1, 3) + + 25 2 2 2 2 + + -- x z DATA(3, -1, -1) - 5/48 x z DATA(3, -1, 2) + 96 + + 2 2 + + 80/9 x y z DATA(1, 0, 1) + 5/6 x y z DATA(-1, 0, -2) + + 2 2 25 2 2 + + 5/24 x z DATA(-1, -2, 2) - -- x z DATA(-1, -2, -1) + 48 + + 25 2 2 2 2 + + -- x z DATA(-1, 1, 3) - 1/432 x z DATA(3, -2, 3) + 72 + + 2 2 2 2 + + 1/72 x z DATA(3, -2, 2) - 5/144 x z DATA(3, -2, -1) + + 3 3 + + 4/9 z y x DATA(3, 0, -1) - 1/288 z y x DATA(3, 3, 2) + + 3 2 2 + + 7/36 z y x DATA(2, -2, 1) + 5/24 x z DATA(2, -1, -2) + + 2 2 2 2 + + 1/72 x z DATA(2, 3, -2) - 5/144 x z DATA(3, -1, -2) + + 2 2 2 2 + + 5/72 x z DATA(-2, -1, -2) - 5/108 x z DATA(3, 1, -2) + + 2 2 2 2 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DATA(0, -1, 2) + 27 + + 2 3 2 3 + + 5/18 z x DATA(0, 3, -1) - 1/9 z x DATA(0, 3, 2) + + 10 2 3 2 3 + + -- z x DATA(0, 3, 1) + 1/54 z x DATA(0, 3, 3) + 27 + + 2 3 2 3 + + 28/9 z x DATA(0, 2, 0) + 25/6 z x DATA(0, -1, -1) + + 2 3 2 3 + - 70/9 z x DATA(0, -1, 0) + 2/3 z x DATA(0, 2, 2) + + 2 2 + + 4/9 x y z DATA(3, 0, 1) - 1/36 x y z DATA(3, 3, 1) + + 28 2 3 2 3 + + -- z x DATA(0, 0, -2) - 5/9 z x DATA(0, -1, -2) + 27 + + 2 3 2 3 + + 50/9 z x DATA(0, -1, 1) + 2/27 z x DATA(0, -2, -2) + + 2 3 2 3 + - 20/9 z x DATA(0, 2, 1) - 5/3 z x DATA(0, 2, -1) + + 2 3 49 2 3 + - 70/9 z x DATA(0, 0, -1) - --- z x DATA(-1, 0, -2) + 108 + + 2 2 2 2 + + 5/18 x z DATA(2, -2, 1) - 5/108 x z DATA(-2, 3, 1) + + 10 2 3 200 2 3 + + -- z x DATA(0, 1, 3) - --- z x DATA(1, 1, 1) + 27 27 + + 2 3 280 2 3 + - 1/9 z x DATA(0, 2, 3) + --- z x DATA(1, 0, 1) + 27 + + 20 2 3 20 2 3 + - -- z x DATA(0, -2, 1) - -- z x DATA(0, 1, -2) + 27 27 + + 2 3 2 3 + - 1/27 z x DATA(0, 3, -2) + 2/9 z x DATA(0, 2, -2) + + 2 2 + - 5/12 x y z DATA(-1, 3, 1) + 1/6 x y z DATA(2, 3, 1) + + 25 2 2 25 2 2 + - -- x z DATA(1, -2, 1) - -- x z DATA(-1, -2, 1) + 27 36 + + 2 2 25 2 2 + + 5/18 x z DATA(-2, 2, 1) - -- x z DATA(-2, 1, 1) + 27 + + 25 2 2 2 3 + - -- x z DATA(-2, -1, 1) + 5/18 z x DATA(0, -1, 3) + 36 + + 2 3 2 3 + - 1/27 z x DATA(0, -2, 3) + 2/9 z x DATA(0, -2, 2) + + 2 3 2 2 + - 5/9 z x DATA(0, -2, -1) + 5/54 x z DATA(-2, 1, -2) + + 2 2 2 2 + + 1/216 x z DATA(3, -2, -2) - 1/108 x z DATA(-2, -2, -2) + + 2 2 25 2 2 + + 5/54 x z DATA(-2, -2, 1) - -- x z DATA(-2, 1, -1) + 36 + + 25 2 2 2 2 + + -- x z DATA(1, 3, 1) + 1/864 x z DATA(3, 3, 3) + 54 + + 2 2 2 2 + - 1/144 x z DATA(3, 3, 2) + 5/288 x z DATA(3, 3, -1) + + 2 2 2 2 + + 1/216 x z DATA(-2, 3, -2) - 1/36 x z DATA(-2, 2, -2) + + 2 2 25 2 2 + + 5/72 x z DATA(-1, -2, -2) - -- x z DATA(1, -1, -2) + 36 + + 2 2 2 2 + - 1/432 x z DATA(3, 3, -2) - 1/36 x z DATA(2, -2, -2) + + 25 2 2 2 2 + - -- x z DATA(1, 1, -2) - 5/108 x z DATA(1, 3, -2) + 27 + + 2 2 2 2 + + 5/18 x z DATA(1, 2, -2) + 1/72 x z DATA(3, 2, -2) + + 2 2 + - 1/9 x y z DATA(-2, 0, -2) + 10/9 x y z DATA(1, 0, -2) + + 2 2 + - 5/72 x y z DATA(1, 3, -2) - 1/288 x y z DATA(3, 3, -2) + + 2 2 + + 1/18 x y z DATA(3, 0, -2) - 80/9 x y z DATA(1, 0, -1) + + 2 2 + - 1/3 x y z DATA(2, 0, -2) - 5/96 x y z DATA(-1, 3, -2) + + 2 2 3 + + 1/48 x y z DATA(2, 3, -2) + 1/9 z x DATA(1, 3, 2) + + 49 2 3 2 3 + - --- z x DATA(2, 0, 3) - 5/18 z x DATA(1, 3, -1) + 216 + + 2 3 35 2 3 + - 7/144 z x DATA(2, 3, 2) + --- z x DATA(2, 3, -1) + 288 + + 2 3 2 3 + + 7/864 z x DATA(2, 3, 3) - 7/432 z x DATA(2, -2, 3) + + 2 3 35 2 3 + + 1/9 z x DATA(1, 2, 3) + --- z x DATA(2, 1, 3) + 216 + + 2 2 + - 8/3 x y z DATA(2, 0, 1) + 8/3 x y z DATA(2, 0, -1) + + 2 3 49 2 3 + + 7/108 z x DATA(-2, -2, 0) + --- z x DATA(-1, 0, 3) + 216 + + 14 2 3 392 2 3 + + -- z x DATA(1, 0, 3) - --- z x DATA(1, 0, 0) + 27 27 + + 2 3 2 + - 1/54 z x DATA(1, 3, 3) + 20/3 x y z DATA(-1, 0, 1) + + 2 2 3 + - 20/3 x y z DATA(-1, 0, -1) + 70/9 z x DATA(1, -1, 0) + + 343 2 3 49 2 3 + - --- z x DATA(-1, 0, 0) - -- z x DATA(-1, 2, 0) + 54 36 + + 35 2 3 245 2 3 + - -- z x DATA(-2, 1, 0) + --- z x DATA(-1, -1, 0) + 54 72 + + 343 2 3 49 2 3 + + --- z x DATA(2, 0, 0) - --- z x DATA(2, 3, 0) + 54 216 + + 245 2 3 280 2 3 + - --- z x DATA(2, -1, 0) + --- z x DATA(1, 1, 0) + 72 27 + + 49 2 3 49 2 3 + + --- z x DATA(-1, 3, 0) - -- z x DATA(3, 0, 0) + 216 54 + + 2 3 49 2 3 + - 28/9 z x DATA(1, 2, 0) + -- z x DATA(2, 2, 0) + 36 + + 245 2 3 245 2 3 + + --- z x DATA(-1, 1, 0) - --- z x DATA(2, 1, 0) + 54 54 + + 14 2 3 2 + + -- z x DATA(1, 3, 0) - 10/9 x y z DATA(1, 0, 2) + 27 + + 28 2 3 49 2 3 + + -- z x DATA(0, -2, 0) + --- z x DATA(2, -2, 0) + 27 108 + + 49 2 3 2 3 + - --- z x DATA(-1, -2, 0) + 7/36 z x DATA(-2, 2, 0) + 108 + + 35 2 3 28 2 3 + - -- z x DATA(-2, -1, 0) - -- z x DATA(1, -2, 0) + 72 27 + + 2 3 49 2 3 + - 7/216 z x DATA(-2, 3, 0) + -- z x DATA(-2, 0, 0) + 54 + + 2 3 280 2 3 + + 7/216 z x DATA(3, 3, 0) - --- z x DATA(0, 1, 0) + 27 + + 392 2 3 14 2 3 + + --- z x DATA(0, 0, 0) - -- z x DATA(0, 3, 0) + 27 27 + + 2 + - 5/6 x y z DATA(-1, 0, 2) + 1/36 x y z DATA(2, 3, 1) + + + 2/9 x y z DATA(-1, 3, 1) - 4/9 x y z DATA(1, 0, 2) + + 2 3 + + 4/9 x y z DATA(-1, 0, 2) + 7/432 z x DATA(-1, -2, 3) + + 2 3 2 3 + - 2/9 z x DATA(1, -2, 2) + 5/9 z x DATA(1, -2, -1) + + 2 3 10 2 3 + - 5/18 z x DATA(1, -1, 3) - -- z x DATA(1, 1, 3) + 27 + + 2 3 25 2 3 + - 5/48 z x DATA(-2, -1, 2) + -- z x DATA(-2, -1, -1) + 96 + + 2 3 2 3 + - 1/432 z x DATA(-2, -2, 3) + 1/72 z x DATA(-2, -2, 2) + + 2 3 35 2 3 + + 7/72 z x DATA(2, -2, 2) - --- z x DATA(2, -2, -1) + 144 + + 2 3 35 2 3 + + 1/27 z x DATA(1, -2, 3) - --- z x DATA(-1, -1, 3) + 288 + + 2 3 2 3 + + 7/144 z x DATA(-1, 2, 3) - 1/144 z x DATA(-2, 2, 3) + + 2 3 2 3 + + 1/24 z x DATA(-2, 2, 2) - 5/48 z x DATA(-2, 2, -1) + + 2 3 + + 5/288 z x DATA(-2, -1, 3) - 4/9 x y z DATA(-1, 0, -2) + + 35 2 3 + - 1/36 x y z DATA(2, 3, -1) + --- z x DATA(-1, -2, -1) + 144 + + 2 + - 5/9 x y z DATA(1, 3, 1) + 2/9 x y z DATA(1, 3, -1) + + + 1/36 x y z DATA(1, 3, 2) + 32/9 x y z DATA(1, 0, 1) + + 2 3 2 + - 7/72 z x DATA(-1, -2, 2) + 1/36 x y z DATA(3, 3, -1) + + 2 2 + - 1/18 x y z DATA(3, 0, 2) - 4/9 x y z DATA(3, 0, -1) + + 2 2 + + 1/18 x y z DATA(-2, 3, 1) - 8/9 x y z DATA(-2, 0, 1) + + 2 2 + + 1/3 x y z DATA(2, 0, 2) + 1/288 x y z DATA(3, 3, 2) + + 35 2 3 2 3 + - --- z x DATA(-1, 1, 3) - 7/144 z x DATA(2, 2, 3) + 216 + + 2 3 2 3 + + 5/288 z x DATA(-2, 3, -1) - 1/144 z x DATA(-2, 3, 2) + + 2 3 2 3 + + 1/864 z x DATA(-2, 3, 3) + 7/36 z x DATA(-2, 0, 2) + + 35 2 3 2 3 + - -- z x DATA(-2, 0, -1) - 7/216 z x DATA(-2, 0, 3) + 72 + + 35 2 3 2 3 + - --- z x DATA(-1, 3, -1) + 7/144 z x DATA(-1, 3, 2) + 288 + + 2 3 35 2 3 + - 7/864 z x DATA(-1, 3, 3) + --- z x DATA(2, -1, 3) + 288 + + 2 + + 1/144 x y z DATA(-2, 3, -2) + 1/288 x y z DATA(-2, 3, 2) + + + 1/36 x y z DATA(-2, 3, -1) - 1/288 x y z DATA(2, 3, 2) + + - 1/36 x y z DATA(-1, 3, 2) - 2/9 x y z DATA(-1, 3, -1) + + - 1/18 x y z DATA(-2, 0, 2) - 4/9 x y z DATA(-2, 0, -1) + + 2 3 25 2 2 + + 5/48 z x DATA(3, -1, 2) - -- x z DATA(2, 1, -1) + 12 + + 25 2 2 2 2 + - -- x z DATA(-1, 2, 1) + 5/18 x z DATA(2, 1, -2) + 12 + + 25 2 2 2 + - -- x z DATA(-1, 1, -2) + 7/36 x z DATA(2, 0, -2) + 36 + + 2 35 2 + + 7/108 x z DATA(-2, 0, -2) - -- x z DATA(-1, 0, -2) + 72 + + 14 2 2 + + -- x z DATA(-2, 0, 1) - 7/36 x z DATA(2, 0, 2) + 27 + + 2 2 + - 35/9 x z DATA(-1, 0, 1) + 35/9 x z DATA(-1, 0, -1) + + 35 2 + - -- x z DATA(1, 0, -2) + 7/27 x z DATA(-2, 0, -1) + 54 + + 56 + + -- x z DATA(1, 0, -1) + 7/27 x z DATA(2, 0, 1) - 7/27 x z DATA(2, 0, -1) + 27 + + 56 + + 7/27 x z DATA(1, 0, 2) - 7/27 x z DATA(-1, 0, 2) + -- x z DATA(-1, 0, 1) + 27 + + - 7/27 x z DATA(1, 0, -2) - 7/216 x z DATA(-2, 0, -2) + + + 7/216 x z DATA(2, 0, -2) + 7/27 x z DATA(-1, 0, -2) + + 56 + - 7/27 x z DATA(-2, 0, 1) - 7/216 x z DATA(2, 0, 2) - -- x z DATA(1, 0, 1) + 27 + + 56 + + 7/216 x z DATA(-2, 0, 2) - -- x z DATA(-1, 0, -1) + 27 + + 140 2 35 2 196 2 + - --- x z DATA(1, 0, 1) + -- x z DATA(-1, 0, 2) + --- x z DATA(0, 0, 1) + 27 72 27 + + 2 2 + + 7/27 x z DATA(3, 0, -1) + 7/216 x z DATA(3, 0, 2) + + 49 2 2 + + -- x z DATA(0, 0, -2) - 7/216 x z DATA(3, 0, -2) + 54 + + 49 2 2 + - -- x z DATA(0, 0, 2) - 7/27 x z DATA(3, 0, 1) + 54 + + 2 14 2 + - 7/108 x z DATA(-2, 0, 2) - -- x z DATA(-2, 0, -1) + 27 + + 2 140 2 + + 14/9 x z DATA(2, 0, 1) + --- x z DATA(1, 0, -1) + 27 + + 35 2 2 + + -- x z DATA(1, 0, 2) - 14/9 x z DATA(2, 0, -1) + 54 + + 35 2 2 + - -- x y z DATA(1, 2, 2) + 5/6 x y z DATA(-1, 1, 2) + 72 + + 2 35 2 + - 1/3 x y z DATA(2, 1, 2) + -- x y z DATA(1, -1, 2) + 72 + + 2 2 + + 7/48 x y z DATA(2, 2, 2) - 7/48 x y z DATA(2, -1, 2) + + 35 2 2 + + -- x y z DATA(-1, -1, 2) + 7/6 x y z DATA(2, -1, 1) + 96 + + 2 2 + - 7/6 x y z DATA(2, -1, -1) - 7/6 x y z DATA(2, 2, 1) + + 2 2 + + 1/18 x y z DATA(-2, -2, -1) - 1/9 x y z DATA(-2, 1, 2) + + 2 2 + - 8/9 x y z DATA(-2, 1, -1) + 1/48 x y z DATA(2, -2, 2) + + 2 2 + + 7/6 x y z DATA(2, 2, -1) + 35/9 x y z DATA(1, 2, 1) + + 2 2 + - 35/9 x 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1/288 z y x + + 3 2 2 2 2 + + 1/288 z y x - 1/144 x y z + 1/72 x y z + 1/216 x z, + + 3 3 3 2 + COEFF(-1, -2, -2) = - 7/288 z y x - 1/36 x y z + 1/18 x y z + + 3 3 3 2 2 2 3 + + 7/432 z x - 7/288 z y x + 5/72 x z - 5/144 x z + 7/432 z x + + 3 2 3 2 2 2 + + 5/96 z y x - 1/36 x y z - 5/144 z x - 1/27 x z + 5/96 x y z + + 2 2 2 3 2 3 3 + - 5/48 x y z - 7/216 z x + 7/144 z y x + 1/54 x z + 1/54 x z , + + 2 2 2 3 3 2 + COEFF(0, -2, -2) = 7/36 x y z - 1/9 z y x - 1/36 z + 7/108 x z + + 2 2 3 2 3 2 3 3 + - 7/54 x z + 7/108 z x - 7/72 z y x + 1/24 y z - 1/36 z - 1/27 z x + + 3 3 2 3 3 2 3 2 + + 1/24 y z - 1/27 z x + 1/18 z + 1/18 z y x + 2/27 z x - 1/12 y z + + 2 3 2 3 + - 7/72 x y z + 1/18 z y x , COEFF(1, -2, -2) = - 5/108 x z + 1/36 x y z + + 3 2 3 3 2 2 2 3 2 3 + + 5/72 z y x + 1/27 z x - 5/36 x y z + 1/9 z y x - 2/27 z x + + 3 2 2 3 3 3 + + 1/36 x y z - 5/108 z x + 1/27 x z - 1/18 z y x - 1/54 x z + + 3 2 2 2 3 + - 1/18 z y x + 5/54 x z - 1/54 x z + 5/72 x y z + 1/27 z x + + 2 2 3 2 2 2 + - 1/18 x y z , COEFF(2, -2, -2) = 7/216 z x - 1/36 x z + 1/72 x z + + 3 2 3 3 3 2 + - 1/48 z y x - 7/432 z x + 7/288 z y x + 1/144 x y z - 1/288 x y z + + 3 2 2 2 3 3 3 + + 7/288 z y x + 1/24 x y z + 1/432 x z - 7/144 z y x - 7/432 z x + + 3 3 2 2 2 3 + - 1/288 x y z + 1/72 z x - 1/216 x z - 1/48 x y z + 1/432 x z , + + 2 3 3 2 2 3 + COEFF(3, -2, -2) = 1/144 z y x + 1/288 z y x - 1/216 z x + + 3 3 2 3 3 2 2 + - 1/288 z y x + 1/432 z x + 1/288 x y z - 1/288 z y x + 1/216 x z + + 2 2 2 3 3 3 2 + - 1/144 x y z - 1/432 x z + 1/432 z x - 1/432 z x , + + 2 2 2 3 2 + COEFF(-2, -1, -2) = 5/72 x z + 5/288 x z + 7/144 z y x - 5/144 x z + + 3 3 2 3 3 3 + - 7/288 z y x - 7/288 x y z - 5/144 z x - 7/288 x y z + 5/288 z x + + 2 2 3 2 3 2 3 + + 7/144 x y z + 7/144 x y z - 5/144 z x + 7/144 z y x + 5/288 x z + + 3 3 2 3 2 2 + + 5/288 z x - 5/144 x z - 7/288 z y x - 7/72 x y z , + + 25 2 2 2 3 + COEFF(-1, -1, -2) = - -- x z - 7/18 x y z - 5/36 x z - 5/36 x z + 48 + + 49 3 3 35 2 35 3 3 35 3 2 25 3 2 + + --- z y x - -- x y z - --- z x - -- z y x + -- z x + 7/36 x y z + 288 96 288 96 96 + + 35 3 25 2 35 2 2 2 49 2 3 49 3 + - --- z x + -- x z + -- x y z + 5/18 x z - --- z y x + --- z y x + 288 96 48 144 288 + + 3 35 2 3 49 2 35 2 2 + + 7/36 x y z + --- z x , COEFF(0, -1, -2) = -- x y z + -- x z + 144 72 36 + + 3 3 3 2 3 2 3 + - 7/24 y z + 5/24 z + 5/24 z - 7/18 z y x + 7/9 z y x - 5/9 z x + + 2 3 3 3 35 2 2 49 2 2 + - 5/12 z + 5/18 z x - 7/18 z y x - -- x z + 7/12 y z - -- x y z + 72 36 + + 35 3 2 3 3 49 3 2 + - -- z x + 5/18 z x - 7/24 y z + -- z y x , COEFF(1, -1, -2) = + 72 72 + + 25 2 3 3 35 3 2 3 25 2 2 2 + -- x z + 7/18 z y x - -- z y x - 7/36 x y z - -- x z - 5/18 x z + 72 72 36 + + 35 2 2 3 25 3 2 3 3 2 + - -- x y z + 5/9 z x + -- z x - 5/18 z x + 7/18 x y z - 7/36 x y z + 72 72 + + 3 2 3 35 2 2 3 + - 5/18 z x + 5/36 x z - 7/9 z y x + -- x y z + 7/18 z y x + 36 + + 3 3 2 2 49 3 + + 5/36 x z , COEFF(2, -1, -2) = - 5/48 z x + 7/48 x y z - --- z y x + 288 + + 2 2 2 35 2 3 3 3 + + 5/144 x z + 5/24 x z - --- z x - 5/288 x z + 7/288 x y z + 144 + + 2 35 3 3 2 49 2 3 + - 5/48 x z + --- z x - 7/144 x y z + 7/288 x y z + --- z y x + 288 144 + + 2 2 3 2 35 3 49 3 3 + - 7/24 x y z - 5/288 x z + 7/48 z y x + --- z x - --- z y x , + 288 288 + + 2 3 2 2 2 3 + COEFF(3, -1, -2) = - 7/288 x y z + 5/288 z x - 5/144 x z - 5/288 z x + + 2 3 3 3 3 3 2 2 3 + + 5/144 z x + 7/288 z y x - 5/288 z x + 5/288 x z - 7/144 z y x + + 3 2 3 2 2 + - 7/288 z y x + 7/288 z y x + 7/144 x y z , COEFF(-2, 0, -2) = + + 3 2 3 3 2 2 2 3 + - 1/9 z y x + 1/18 z y x - 7/54 x z - 1/9 x y z + 1/18 z y x + + 3 2 3 2 2 + + 1/18 x y z - 7/216 x z + 7/108 x z + 7/108 z x + 7/108 x z + + 2 3 3 3 3 2 2 + + 7/108 z x - 7/216 z x - 7/216 z x + 1/18 x y z + 2/9 x y z + + 3 2 2 3 14 2 + - 7/216 x z - 1/9 x y z - 1/9 z y x , COEFF(-1, 0, -2) = - -- x z + 27 + + 49 2 3 2 35 2 2 3 3 + - --- z x - 4/9 x y z + 5/6 x y z + -- x z - 7/18 z y x + 108 36 + + 2 3 49 3 2 35 3 2 2 2 + + 7/9 z y x + --- z x + 7/27 x z + 8/9 x y z - -- z x - 5/3 x y z + 216 72 + + 3 3 2 35 2 3 3 49 3 3 + - 7/18 z y x + 5/6 z y x - -- x z + 7/27 x z - 4/9 x y z + --- z x + 72 216 + + 14 3 3 2 49 2 28 2 3 + , COEFF(0, 0, -2) = - -- z x - 7/18 z - 14/9 z y x + -- x z + -- z x + 27 54 27 + + 49 2 2 2 14 3 3 2 2 2 3 3 + - -- x z - 4/3 y z - -- z x + 28/9 x y z + 7/9 z + 8/9 z y x + 27 27 + + 2 2 3 49 3 2 3 3 + - 14/9 x y z - 16/9 z y x + -- z x + 2/3 y z + 2/3 y z - 7/18 z + 54 + + 3 35 2 2 3 2 2 + + 8/9 z y x , COEFF(1, 0, -2) = -- x z + 10/9 z y x - 8/9 x y z + 27 + + 14 2 2 3 2 35 3 2 35 2 + + -- x z + 16/9 z y x + 10/9 x y z - 7/27 x z - -- z x - -- x z + 27 54 54 + + 3 28 2 3 3 14 3 3 + - 7/27 x z - -- z x - 8/9 z y x + 4/9 x y z + -- z x + 4/9 x y z + 27 27 + + 2 2 14 3 3 3 3 2 + - 20/9 x y z + -- z x - 8/9 z y x , COEFF(2, 0, -2) = 7/36 x z + 27 + + 3 2 2 49 2 3 49 3 3 + + 7/216 x z - 7/18 x z + --- z x + 7/216 x z - --- z x + 108 216 + + 3 2 49 3 3 2 + + 7/18 z y x - 1/18 x y z - 7/108 x z - --- z x + 7/36 z x + 216 + + 2 2 2 2 3 3 3 2 + + 1/9 x y z + 2/3 x y z - 7/9 z y x - 1/18 x y z - 1/3 z y x + + 2 3 3 2 2 3 3 + - 1/3 x y z + 7/18 z y x , COEFF(3, 0, -2) = 7/108 x z - 1/18 z y x + + 3 2 3 2 2 2 2 + + 7/216 z x - 7/216 x z - 7/216 z x - 1/9 x y z + 1/18 x y z + + 3 2 2 3 3 3 3 2 3 + + 1/18 z y x + 1/9 z y x + 7/216 z x - 1/18 z y x - 7/108 z x , + + 3 2 3 3 2 2 2 + COEFF(-2, 1, -2) = - 1/18 x y z + 1/9 z y x + 1/9 z y x + 5/54 x z + + 3 3 2 3 2 2 + - 1/18 z y x + 1/9 x y z + 5/216 x z - 5/108 x z - 5/108 x z + + 2 3 3 2 3 3 + + 1/9 x y z + 5/216 z x - 1/18 x y z - 5/108 z x + 5/216 z x + + 3 2 2 2 3 + - 5/108 z x + 5/216 x z - 2/9 x y z - 1/18 z y x , COEFF(-1, 1, -2) = + + 25 3 2 25 2 2 2 35 3 3 2 3 + -- z x + -- x z + 5/3 x y z - --- z x - 7/9 z y x + 4/9 x y z + 72 72 216 + + 3 2 3 3 3 2 + - 5/6 z y x + 7/18 z y x - 5/27 x z + 4/9 x y z - 5/6 x y z + + 2 3 3 35 3 10 2 35 2 3 + - 8/9 x y z + 7/18 z y x - --- z x + -- x z + --- z x - 5/27 x z + 216 27 108 + + 25 2 2 35 3 2 10 3 2 3 + - -- x z , COEFF(0, 1, -2) = - -- z x + -- z x + 16/9 z y x + 36 54 27 + + 2 2 2 2 3 3 2 + - 28/9 x y z + 14/9 x y z - 5/9 z - 8/9 z y x + 14/9 z y x + + 35 2 2 20 2 3 2 3 35 2 + + -- x z - -- z x + 4/3 y z - 2/3 y z - 2/3 y z - -- x z + 5/18 z + 27 27 54 + + 3 3 3 10 3 3 10 3 3 + + 5/18 z - 8/9 z y x + -- z x , COEFF(1, 1, -2) = - -- z x + 27 27 + + 2 3 25 2 2 2 + + 8/9 x y z + 5/27 x z + 5/27 x z - -- x z - 10/9 x y z + 27 + + 3 2 20 2 3 3 25 3 2 10 2 3 3 + - 10/9 z y x + -- z x + 8/9 z y x + -- z x - -- x z + 8/9 z y x + 27 54 27 + + 2 3 25 2 10 3 3 2 2 + - 16/9 z y x + -- x z - -- z x - 4/9 x y z + 20/9 x y z - 4/9 x y z + 54 27 + + 35 3 3 3 2 3 + , COEFF(2, 1, -2) = --- z x - 7/18 z y x + 1/18 x y z + 7/9 z y x + 216 + + 2 35 3 3 2 3 2 35 2 3 + + 1/3 x y z + --- z x - 5/36 x z - 5/216 x z + 5/108 x z - --- z x + 216 108 + + 3 2 3 3 3 2 2 2 + - 5/36 z x - 7/18 z y x + 1/3 z y x - 2/3 x y z + 1/18 x y z + + 2 2 2 2 + + 5/18 x z - 5/216 x z - 1/9 x y z , COEFF(3, 1, -2) = 5/216 x z + + 3 2 2 2 2 3 3 + - 5/216 z x - 1/18 x y z - 5/108 x z - 1/9 z y x + 1/18 z y x + + 3 2 3 3 2 2 3 2 2 3 + + 5/216 z x - 5/216 z x + 1/9 x y z - 1/18 z y x + 5/108 z x + + 3 3 3 2 2 + + 1/18 z y x , COEFF(-2, 2, -2) = 1/72 z x + 7/288 x y z - 7/144 x y z + + 2 2 3 3 3 2 3 + - 1/36 x z - 1/144 x z + 7/288 z y x - 1/144 z x - 7/144 z y x + + 2 3 2 2 3 2 3 3 + + 1/72 x z - 7/144 z y x + 1/72 z x + 1/72 x z - 1/144 z x + + 3 2 3 3 2 2 + + 7/288 x y z - 1/144 x z - 7/144 x y z + 7/288 z y x + 7/72 x y z , + + 3 35 2 49 3 + COEFF(-1, 2, -2) = - 7/36 x y z + 1/18 x z + -- x y z - --- z y x + 96 288 + + 3 35 2 2 3 2 2 2 2 + + 7/144 z x - -- x y z - 5/48 z x + 5/24 x z - 5/48 x z + 48 + + 49 3 3 2 3 3 49 2 3 2 + - --- z y x + 7/18 x y z + 7/144 z x + --- z y x - 1/9 x z + 288 144 + + 35 3 2 3 2 3 + + 1/18 x z + -- z y x - 7/36 x y z - 7/72 z x , COEFF(0, 2, -2) = + 96 + + 3 3 3 2 3 3 3 2 49 2 2 + 7/24 y z + 7/18 z y x + 1/6 z - 1/9 z x + 7/36 z x + -- x y z + 36 + + 49 3 2 2 3 49 2 2 2 + - -- z y x - 7/9 z y x - -- x y z + 7/24 y z - 7/18 x z + 72 72 + + 3 3 2 3 2 2 + + 7/18 z y x - 1/12 z + 2/9 z x - 1/12 z + 7/36 x z - 7/12 y z + + 3 35 3 2 3 3 3 + - 1/9 z x , COEFF(1, 2, -2) = -- z y x - 7/18 z y x + 1/9 z x + 72 + + 35 2 3 3 2 2 2 + + -- x y z + 7/36 x y z - 5/36 z x - 5/36 x z + 1/9 x z - 1/18 x z + 72 + + 2 2 2 3 3 3 + + 5/18 x z + 7/9 z y x + 7/36 x y z - 7/18 z y x - 1/18 x z + + 2 3 3 3 2 35 2 2 + - 2/9 z x + 1/9 z x - 7/18 x y z - -- x y z , COEFF(2, 2, -2) = + 36 + + 3 2 3 3 49 3 3 2 + - 7/48 z y x - 7/144 z x + 1/144 x z + --- z y x + 1/24 z x + 288 + + 2 2 2 2 + - 1/72 x z - 7/288 x y z + 1/144 x z + 7/24 x y z + 1/24 x z + + 2 2 2 3 3 2 2 + - 7/48 x y z + 7/144 x y z + 7/72 z x - 7/288 x y z - 1/12 x z + + 49 3 3 49 2 3 3 3 + + --- z y x - --- z y x - 7/144 z x , COEFF(3, 2, -2) = + 288 144 + + 3 3 2 2 3 3 2 3 + - 7/288 z y x + 1/72 x z + 1/144 z x - 1/144 x z + 1/144 z x + + 2 2 3 3 2 2 3 + - 7/144 x y z - 7/288 z y x + 7/288 z y x + 7/144 z y x + + 2 3 3 2 2 + - 1/72 z x - 1/144 z x + 7/288 x y z, COEFF(-2, 3, -2) = + + 3 2 3 2 2 2 2 2 3 + - 1/288 x y z - 1/432 z x + 1/216 x z - 1/72 x y z + 1/144 z y x + + 2 3 2 3 2 2 + + 1/144 x y z + 1/864 x z - 1/432 x z + 1/144 z y x - 1/432 x z + + 3 3 3 2 3 3 3 3 + + 1/864 z x - 1/432 z x + 1/864 z x - 1/288 z y x - 1/288 z y x + + 2 + + 1/864 x z + 1/144 x y z - 1/288 x y z, COEFF(-1, 3, -2) = + + 2 3 3 3 3 3 3 2 + - 7/144 z y x + 7/288 z y x + 1/36 x y z - 1/108 x z - 5/96 z y x + + 2 2 3 3 2 3 + + 5/48 x y z + 1/36 x y z - 7/864 z x + 5/288 z x + 7/288 z y x + + 2 2 2 2 2 + - 1/18 x y z - 5/96 x y z - 1/108 x z + 5/288 x z - 5/144 x z + + 2 3 3 3 2 3 2 + + 7/432 z x - 7/864 z x + 1/54 x z , COEFF(0, 3, -2) = - 7/216 z x + + 3 2 2 2 3 2 3 + + 1/54 z x + 7/108 x z + 1/9 z y x - 7/216 x z - 1/24 y z + + 3 3 2 3 3 2 2 2 + - 1/18 z y x + 1/12 y z + 1/72 z + 7/72 z y x - 7/36 x y z + + 2 3 3 2 3 3 + - 1/24 y z - 1/36 z + 1/72 z + 1/54 z x - 1/27 z x - 1/18 z y x + + 2 3 2 2 + + 7/72 x y z, COEFF(1, 3, -2) = - 5/72 z y x + 1/18 x y z + + 3 3 3 2 3 + + 1/18 z y x + 1/108 x z + 1/108 x z - 1/36 x y z + 1/27 z x + + 3 3 2 2 3 2 3 3 + - 1/54 z x - 5/108 x z - 1/36 x y z - 1/9 z y x - 1/54 z x + + 2 3 3 2 2 2 + - 1/54 x z + 1/18 z y x + 5/216 z x - 5/72 x y z + 5/216 x z + + 2 2 2 2 3 + + 5/36 x y z , COEFF(2, 3, -2) = - 1/144 x z - 7/432 z x + + 3 2 3 3 3 + + 1/48 z y x + 1/288 x y z - 7/288 z y x + 7/864 z x - 1/864 x z + + 3 3 3 3 2 2 2 + + 7/864 z x - 7/288 z y x + 1/72 x z + 1/432 x z - 1/864 x z + + 2 3 2 2 2 3 3 2 + + 7/144 z y x + 1/48 x y z - 1/24 x y z + 1/288 x y z - 1/144 z x + + 2 2 3 2 2 2 + - 1/144 x y z , COEFF(3, 3, -2) = 1/432 z x + 1/864 x z + 1/144 x y z + + 3 2 2 3 2 3 2 3 3 + + 1/864 z x - 1/144 z y x - 1/288 x y z - 1/288 z y x - 1/864 z x + + 3 3 3 3 2 2 + - 1/864 z x + 1/288 z y x + 1/288 z y x - 1/432 x z , + + 2 3 3 3 2 2 + COEFF(-2, -2, -1) = - 5/144 z x + 7/432 x z + 1/54 z x - 5/48 x y z + + 3 3 2 2 3 2 + + 1/54 x z - 7/288 z y x + 5/96 x y z - 1/27 x z + 7/144 z y x + + 3 3 3 2 2 2 3 2 2 + + 7/432 z x - 7/216 z x - 5/144 x z + 5/96 z y x + 5/72 x z + + 3 3 2 + - 7/288 x y z - 1/36 z y x - 1/36 x y z + 1/18 x y z, COEFF(-1, -2, -1) + + 3 3 35 3 2 49 3 3 + = 7/36 x y z - 7/54 z x - 4/27 x z - -- z y x + --- z y x + 96 288 + + 35 3 2 3 35 2 3 2 3 + + --- z x - 7/54 x z + 2/9 x y z - -- z y x + 5/18 x z + 7/36 z y x + 144 96 + + 2 25 2 2 2 2 49 3 3 + + 5/18 x z + -- x y z - 5/12 x y z - 5/12 x y z - --- z x + 32 432 + + 25 2 2 35 2 3 3 14 2 35 2 2 + - -- x z + --- z x , COEFF(0, -2, -1) = 8/27 z x - -- x z + -- x z + 48 144 27 36 + + 3 49 3 2 3 3 35 2 2 49 3 2 + - 7/24 y z + -- z y x - 7/18 z y x - -- x y z - --- z x - 1/3 y z + 72 24 108 + + 2 3 2 3 2 3 3 3 3 + - 5/9 z x + 5/8 y z - 4/9 z y x + 5/6 z y x + 7/27 z x + 7/36 z + + 2 2 35 3 2 2 3 + - 5/12 z + 7/9 x y z + 2/9 z, COEFF(1, -2, -1) = --- z x + 5/9 z x + 108 + + 2 35 3 2 25 2 2 3 3 3 + - 5/18 x z - -- z y x - -- x z - 8/27 z x + 7/18 z y x + 72 36 + + 2 3 10 2 3 2 + - 5/6 z y x - 2/9 x y z + -- x z + 4/9 z y x + 5/12 x y z + 4/27 x z + 27 + + 3 25 2 2 3 2 3 3 + + 7/54 x z + -- x y z - 7/36 x y z - 5/9 x y z - 7/27 z x , + 24 + + 35 2 3 2 2 2 3 + COEFF(2, -2, -1) = - --- z x + 5/144 x z + 5/24 x z + 7/288 x y z + 144 + + 3 2 35 2 3 3 2 + + 7/48 z y x + -- z y x - 1/54 x z - 7/36 z y x - 1/9 x z + 96 + + 3 2 49 3 3 49 3 3 3 + - 7/72 z x - --- z y x + --- z x + 1/36 x y z + 7/54 z x + 288 432 + + 3 2 2 2 2 + - 7/432 x z - 5/16 x y z + 1/6 x y z - 5/96 x y z , COEFF(3, -2, -1) + + 3 3 3 2 2 3 3 + = - 1/54 z x - 7/432 z x + 1/54 x z - 5/96 z y x + 1/36 z y x + + 3 2 3 3 2 2 2 2 3 + - 7/288 z y x + 7/288 z y x + 5/96 x y z - 1/36 x y z + 5/144 z x + + 3 2 2 2 35 2 35 3 + + 7/432 z x - 5/144 x z , COEFF(-2, -1, -1) = - -- x y z - --- x z + 96 288 + + 3 25 2 3 25 2 2 35 3 3 3 49 3 2 + + 7/36 z y x + -- z x - -- x z - --- z x - 5/36 z x - --- z y x + 96 48 288 144 + + 49 3 2 35 2 2 25 2 35 3 2 + + --- x y z + 5/18 x z + -- x y z + -- x z + 7/36 x y z + --- z x + 288 48 96 144 + + 2 49 3 3 35 2 3 + - 7/18 x y z + --- z y x - -- z y x - 5/36 x z, COEFF(-1, -1, -1) = + 288 96 + + 49 3 343 3 3 25 2 245 3 3 245 2 3 245 3 2 + - -- x y z - --- z y x - -- x z + --- z x + --- z y x + --- z y x + 36 288 12 288 96 96 + + 35 2 175 2 3 35 3 25 2 35 3 + + -- x y z - 14/9 x y z - --- z x + -- z x - -- x z + -- x z + 12 96 36 12 36 + + 35 2 175 3 2 125 2 2 49 3 175 2 2 + + -- x y z - --- z x + 10/9 x z + --- x z - -- z y x - --- x y z , + 12 96 32 36 32 + + 35 3 3 2 2 3 2 + COEFF(0, -1, -1) = - -- z x + 25/8 z - 35/6 z y x - 5/3 z + 35/9 x z + 18 + + 175 2 2 35 3 245 2 2 2 2 3 + - --- x z - -- z + --- x y z - 49/9 x y z - 35/8 y z - 20/9 z x + 24 24 24 + + 3 49 3 3 2 3 343 3 2 49 3 + + 7/3 y z + 28/9 z y x + -- z y x + 25/6 z x - --- z y x + -- y z + 18 72 24 + + 245 3 2 49 3 35 3 + + --- z x , COEFF(1, -1, -1) = - 10/9 x z + -- x y z - -- x z + 72 36 36 + + 35 2 125 2 2 2 2 3 3 35 3 3 + - -- x y z + --- x z - 25/9 x z - 25/6 z x - 28/9 z y x + -- z x + 12 24 18 + + 3 2 3 49 3 3 175 2 2 245 3 2 + + 20/9 z x + 35/6 z y x - -- z y x - --- x y z + --- z y x + 18 24 72 + + 25 2 2 175 3 2 + + -- x z + 14/9 x y z + 35/9 x y z - --- z x , COEFF(2, -1, -1) = + 12 72 + + 35 2 175 2 3 35 3 2 35 2 2 49 3 + -- x y z + --- z x + -- z x + -- x y z + 5/36 x z + -- z y x + 96 96 48 16 36 + + 49 3 245 2 3 35 3 2 25 2 2 245 3 3 + - --- x y z - --- z y x - -- z x - 7/6 x y z - -- x z - --- z x + 288 96 36 16 288 + + 2 343 3 3 25 2 35 3 49 3 2 + + 5/6 x z + --- z y x - 7/36 x y z - -- x z + --- x z - -- z y x , + 288 96 288 48 + + 25 2 2 49 3 3 2 2 + COEFF(3, -1, -1) = -- x z - --- z y x - 5/36 x z + 7/36 x y z + 96 288 + + 35 3 3 35 2 3 35 2 2 49 3 2 35 3 2 + + --- z x + -- z y x - -- x y z + --- z y x - --- z x + 288 96 96 288 288 + + 3 25 2 3 3 35 2 2 + - 7/36 z y x - -- z x + 5/36 z x , COEFF(-2, 0, -1) = -- x z + 96 36 + + 35 2 3 49 3 2 49 3 2 2 2 3 + - -- x z + 7/27 z x - --- z x + --- x z - 5/3 x y z + 5/6 z y x + 72 108 216 + + 3 49 3 3 3 3 + - 7/18 x y z + --- z x + 7/27 x z - 7/18 z y x - 4/9 x y z + 216 + + 3 35 2 3 2 2 14 2 3 2 + - 4/9 z y x - -- z x + 8/9 x y z + 5/6 x y z - -- x z + 7/9 z y x , + 72 27 + + 2 3 2 2 343 3 3 + COEFF(-1, 0, -1) = 35/9 x z + 28/9 z y x + 25/2 x y z - --- z x + 216 + + 2 245 3 2 49 3 2 175 2 2 + + 35/9 x z + 32/9 x y z + --- z x - -- x z - 20/3 x y z - --- x z + 72 27 24 + + 49 3 3 3 2 245 2 3 56 2 3 + - -- z x + 28/9 x y z - 35/6 z y x + --- z x - -- x z - 35/6 z y x + 27 72 27 + + 49 3 3 2 3 2 + + -- z y x - 20/3 x y z, COEFF(0, 0, -1) = - 64/9 z y x + 10 y z + 18 + + 112 3 2 2 2 3 196 2 + + --- z x - 70/3 x y z + 112/9 x y z - 14/3 y z - --- x z + 27 27 + + 2 3 3 2 3 3 49 3 98 3 3 + + 40/3 z y x + 98/9 z y x + 28/9 z - 56/9 z y x + -- z + -- z x + 18 27 + + 245 2 2 2 3 2 343 3 2 + - 16/3 y z + --- x z - 70/9 z x - 35/6 z - --- z x , COEFF(1, 0, -1) + 18 54 + + 98 3 3 140 2 3 2 2 + = - -- z x + --- x z - 28/9 x y z + 20/3 x y z - 80/9 x y z + 27 27 + + 2 3 112 3 2 3 175 2 2 + - 40/3 z y x - --- z x - 32/9 x y z + 70/9 z x - --- x z + 27 18 + + 3 2 49 3 3 2 2 2 + - 70/9 z y x + -- x z + 64/9 z y x - 35/9 x z + 50/3 x y z + 27 + + 3 3 56 245 3 2 49 3 + + 56/9 z y x + -- x z + --- z x , COEFF(2, 0, -1) = - --- x z + 27 54 216 + + 343 3 3 35 2 2 2 2 2 3 + + --- z x + -- x z + 4/9 x y z - 14/9 x z - 5/6 x y z + 35/6 z y x + 216 12 + + 49 3 2 2 49 3 3 3 2 245 2 3 + + -- z x - 5 x y z - -- z y x + 7/3 z y x - --- z x - 7/27 x z + 27 18 72 + + 3 35 2 49 3 2 3 2 + + 7/18 x y z + -- x z - -- z x - 28/9 z y x + 8/3 x y z, + 72 36 + + 49 3 3 35 2 3 3 3 2 + COEFF(3, 0, -1) = - --- z x + -- z x - 7/27 z x - 7/18 z y x + 216 72 + + 3 3 2 2 2 2 49 3 2 + + 7/18 z y x - 4/9 x y z + 5/6 x y z + 7/27 x z + --- z x + 216 + + 3 2 3 35 2 2 2 3 + + 4/9 z y x - 5/6 z y x - -- x z , COEFF(-2, 1, -1) = - 5/6 z y x + 72 + + 2 3 25 2 2 35 3 2 25 2 + - 5/6 x y z + 4/9 x y z + 7/18 x y z - -- x z + --- z x + -- x z + 36 108 72 + + 2 35 3 10 2 35 3 3 3 + - 8/9 x y z - --- x z + -- x z - --- z x + 4/9 z y x - 5/27 x z + 216 27 216 + + 2 2 3 3 3 2 3 25 2 3 + + 5/3 x y z + 7/18 z y x - 7/9 z y x - 5/27 z x + -- z x , + 72 + + 2 125 2 2 3 2 2 + COEFF(-1, 1, -1) = 20/3 x y z + --- x z + 35/6 z y x - 25/9 x z + 24 + + 40 35 3 175 3 2 49 3 3 2 175 2 3 + + -- x z + -- z x - --- z x - -- z y x + 20/3 x y z - --- z x + 27 27 72 18 72 + + 2 2 2 3 245 3 3 2 + - 32/9 x y z - 25/2 x y z + 35/6 z y x + --- z x - 25/9 x z + 216 + + 3 35 3 3 140 2 + - 28/9 x y z + -- x z - 28/9 z y x , COEFF(0, 1, -1) = --- x z - 20/9 z + 27 27 + + 2 3 2 70 3 3 3 2 2 + - 40/3 z y x + 25/6 z - -- z x - 98/9 z y x - 112/9 x y z + 27 + + 2 2 2 3 175 2 2 3 3 + - 10 y z + 70/3 x y z + 64/9 z y x - --- x z + 56/9 z y x + 18 + + 3 2 3 80 3 245 3 2 35 3 + + 14/3 y z + 50/9 z x + 16/3 y z - -- z x + --- z x - -- z , + 27 54 18 + + 175 3 2 3 2 3 3 + COEFF(1, 1, -1) = - --- z x + 28/9 x y z - 50/9 z x - 64/9 z y x + 54 + + 3 3 2 2 125 2 2 2 + - 56/9 z y x + 80/9 x y z + 25/9 x z + --- x z - 20/3 x y z + 18 + + 40 70 3 3 35 3 80 3 100 2 + - -- x z + -- z x - -- x z + -- z x + 32/9 x y z - --- x z + 27 27 27 27 27 + + 2 2 2 3 3 2 35 3 + - 50/3 x y z + 40/3 z y x + 70/9 z y x , COEFF(2, 1, -1) = --- x z + 216 + + 175 2 3 35 3 2 2 2 2 35 3 + - 4/9 x y z + --- z x + -- z x - 8/3 x y z + 5 x y z - -- z x + 72 36 27 + + 3 25 2 2 2 3 2 3 + - 7/18 x y z - -- x z + 10/9 x z - 7/3 z y x + 28/9 z y x + 12 + + 25 2 2 3 49 3 3 245 3 3 2 + + 5/27 x z - -- x z - 35/6 z y x + -- z y x - --- z x + 5/6 x y z , + 72 18 216 + + 2 3 35 3 2 3 3 2 + COEFF(3, 1, -1) = 5/6 z y x - --- z x - 7/18 z y x + 4/9 x y z + 216 + + 3 3 2 2 2 2 3 + + 5/27 z x + 7/18 z y x - 5/6 x y z - 5/27 x z - 4/9 z y x + + 25 2 3 35 3 3 25 2 2 2 + - -- z x + --- z x + -- x z , COEFF(-2, 2, -1) = - 1/9 x z + 72 216 72 + + 3 3 3 2 3 2 35 2 3 + + 7/144 x z + 7/144 z x - 5/48 z x - 5/48 x z + -- z y x + 96 + + 49 3 2 3 2 3 3 + + --- z y x - 7/36 x y z - 7/72 z x + 1/18 z x - 7/36 z y x + 144 + + 49 3 2 2 49 3 3 35 2 35 2 2 + - --- x y z + 5/24 x z - --- z y x + -- x y z - -- x y z + 288 288 96 48 + + 2 35 2 3 2 + + 1/18 x z + 7/18 x y z, COEFF(-1, 2, -1) = -- z x + 5/6 x z + 48 + + 3 343 3 3 35 3 2 3 + - 7/18 x z + 14/9 x y z - 4/9 x z + --- z y x + -- z x - 7/18 z x + 288 48 + + 35 2 25 2 2 49 3 3 175 2 2 245 3 2 + - -- x y z - -- x z - --- z x + --- x y z - --- z y x + 12 16 144 32 96 + + 245 2 3 49 3 2 49 3 35 2 + - --- z y x + -- x y z + 5/6 x z + -- z y x - -- x y z , + 96 36 36 12 + + 2 49 3 3 3 + COEFF(0, 2, -1) = 49/9 x y z - -- z y x - 28/9 z y x - 7/3 y z + 18 + + 2 3 3 3 3 3 2 245 2 2 + - 5/3 z x + 7/9 z x + 7/12 z + 8/9 z x - 14/9 x z - --- x y z + 24 + + 2 343 3 2 35 2 2 2 3 49 3 2 + + 2/3 z - 5/4 z + --- z y x + -- x z + 35/6 z y x - -- z x + 72 12 36 + + 49 3 2 2 3 + - -- y z + 35/8 y z , COEFF(1, 2, -1) = 5/3 z x + 4/9 x z - 14/9 x y z + 24 + + 2 35 3 2 3 3 3 25 2 2 3 + + 10/9 x z + -- z x - 7/9 z x + 28/9 z y x - -- x z - 8/9 z x + 36 12 + + 245 3 2 35 2 49 3 2 3 2 + - --- z y x + -- x y z - -- x y z - 35/6 z y x - 35/9 x y z + 72 12 36 + + 175 2 2 3 49 3 3 2 + + --- x y z + 7/18 x z + -- z y x - 5/6 x z , COEFF(2, 2, -1) = + 24 18 + + 49 3 35 2 3 49 3 2 49 3 343 3 3 + --- x y z - -- z x + -- z y x - -- z y x - 1/18 x z - --- z y x + 288 48 48 36 288 + + 3 3 2 35 2 2 3 2 + - 7/144 x z - 7/24 z x - -- x y z + 7/18 z x - 1/3 x z + 7/36 x y z + 16 + + 2 2 2 35 2 245 2 3 49 3 3 2 + + 5/8 x z + 5/48 x z - -- x y z + --- z y x + --- z x + 7/6 x y z + 96 96 144 + + 3 2 2 3 2 3 + , COEFF(3, 2, -1) = 7/144 z x + 1/18 x z + 7/36 z y x + 5/48 z x + + 35 2 3 35 2 2 3 3 49 3 2 2 + - -- z y x + -- x y z - 7/144 z x - --- z y x - 7/36 x y z + 96 96 288 + + 49 3 3 3 2 2 3 + + --- z y x - 1/18 z x - 5/48 x z , COEFF(-2, 3, -1) = 7/288 x y z + 288 + + 2 3 3 3 3 2 2 2 + + 5/288 z x - 7/864 z x - 7/864 x z - 5/144 x z + 5/288 x z + + 2 3 3 3 + + 1/36 x y z - 1/108 x z - 1/18 x y z + 7/288 z y x - 1/108 z x + + 2 2 2 2 3 2 2 3 + - 5/96 x y z + 1/54 x z + 5/48 x y z - 7/144 z y x - 5/96 z y x + + 3 2 3 49 3 3 + + 7/432 z x + 1/36 z y x , COEFF(-1, 3, -1) = - --- z y x + 288 + + 3 35 2 3 2 25 2 2 + - 7/36 z y x - --- z x - 5/36 x z - 2/9 x y z - -- x y z + 288 32 + + 35 2 3 49 3 3 35 3 2 2 2 + + -- z y x + --- z x + -- z y x - 5/36 x z + 5/12 x y z + 96 864 96 + + 3 3 2 25 2 2 35 3 2 + + 7/108 z x + 7/108 x z + 5/12 x y z + -- x z - --- z x + 96 288 + + 3 3 3 2 + - 7/36 x y z + 2/27 x z, COEFF(0, 3, -1) = - 7/54 z x + 7/27 x z + + 35 2 2 2 3 2 3 3 2 + + -- x y z + 5/18 z x - 5/8 y z + 7/18 z y x - 7/9 x y z + 24 + + 35 2 2 2 3 49 3 2 49 3 2 + - -- x z + 1/3 y z - 1/9 z - 5/6 z y x + --- z x - -- z y x + 72 216 72 + + 3 3 3 3 2 + + 4/9 z y x + 7/24 y z - 4/27 z x - 7/72 z + 5/24 z , COEFF(1, 3, -1) + + 35 3 2 2 3 2 3 3 + = 2/9 x y z + -- z y x - 5/18 z x - 5/27 x z - 7/108 x z + 4/27 z x + 72 + + 3 3 25 2 2 3 3 3 + - 2/27 x z + 7/54 z x - -- x y z - 4/9 z y x - 7/18 z y x + 24 + + 25 2 2 35 3 2 2 2 2 3 + + -- x z - --- z x + 5/36 x z + 5/9 x y z + 5/6 z y x + 72 216 + + 3 2 2 + + 7/36 x y z - 5/12 x y z , COEFF(2, 3, -1) = - 1/6 x y z - 1/36 x y z + + 2 3 2 2 35 2 3 + + 1/18 x z - 7/288 x y z + 5/16 x y z + --- z x + 1/108 x z + 288 + + 3 2 49 3 3 3 2 3 3 + + 7/144 z x + --- z y x - 7/48 z y x + 7/864 x z + 7/36 z y x + 288 + + 2 2 2 2 49 3 3 35 2 3 + - 5/48 x z + 5/96 x y z - 5/288 x z - --- z x - -- z y x + 864 96 + + 3 2 3 3 2 2 2 + - 7/108 z x , COEFF(3, 3, -1) = 5/96 z y x + 7/288 z y x + 5/288 x z + + 3 2 2 2 2 2 3 + - 7/864 z x - 5/96 x y z + 1/36 x y z - 1/108 x z + 1/108 z x + + 3 3 3 3 3 2 3 + + 7/864 z x - 1/36 z y x - 7/288 z y x - 5/288 z x , + + 3 2 3 2 2 + COEFF(-2, -2, 0) = 2/27 z x - 1/36 x + 1/18 x y z - 7/54 x z + + 3 2 3 3 3 3 + - 1/27 x z + 7/108 x z + 1/24 y x + 1/18 z y x - 1/36 x + + 2 2 3 3 2 2 + + 7/36 x y z - 1/27 z x + 1/24 x y + 1/18 x - 1/12 x y + + 2 3 2 2 3 3 2 + - 7/72 z y x - 7/72 x y z + 7/108 z x - 1/9 z y x , COEFF(-1, -2, 0) + + 49 2 3 3 3 3 35 2 2 3 2 + = -- z y x - 7/18 z y x + 8/27 x z + -- x z + 5/6 z y x + 72 36 + + 2 2 3 2 35 2 2 3 + + 7/9 x y z + 5/8 x y - 5/9 z x - -- x y z + 2/9 x + 7/36 x + 24 + + 3 3 3 14 2 49 2 3 3 + - 4/9 x y z - 1/3 x y + 7/27 z x - -- x z - --- z x - 7/24 y x + 27 108 + + 2 49 2 2 2 3 + - 5/12 x , COEFF(0, -2, 0) = -- x y z + 7/9 x + 1/2 y - 1/3 - 4/9 z + 18 + + 28 2 3 3 3 2 3 2 3 3 2 + + -- z x + 8/9 z y x + 7/9 z + 2/3 y x - 14/9 z y x - 14/9 z y x + 27 + + 28 3 2 49 2 2 2 16 3 3 3 3 2 + + -- z x - -- x z - 7/6 y z - -- z x - 4/9 x + 2/3 y z - 7/6 x y + 27 27 27 + + 3 14 2 2 2 + , COEFF(1, -2, 0) = 1/3 x y + 4/9 x + -- x z - 7/9 x y z - 5/9 x + 27 + + 3 2 3 3 2 20 3 2 16 3 3 + + 4/9 x y z + 14/9 z y x + 10/9 z y x - -- z x + -- z x + 27 27 + + 2 3 3 3 3 28 2 3 + + 5/6 x y - 8/9 z y x - 2/3 y x - 8/27 x z - -- z x - 2/9 x + 27 + + 35 2 2 35 2 2 3 2 2 + - -- x y z + -- x z , COEFF(2, -2, 0) = - 7/36 x + 7/12 x y z + 18 27 + + 3 2 3 3 2 2 + - 1/24 x y - 1/18 x y z - 1/4 x y + 7/18 z y x - 7/18 x z + 1/36 x + + 3 3 3 3 2 49 2 3 3 2 + + 1/27 x z - 7/27 z x + 7/24 y x - 7/108 x z - -- z y x + 2/9 z x + 72 + + 2 49 2 3 3 2 2 + + 1/6 x + --- z x - 1/3 z y x + 7/72 x y z , COEFF(3, -2, 0) = + 108 + + 3 3 2 3 3 3 2 2 3 + 1/27 z x - 7/108 z x - 1/18 z y x - 1/36 x + 7/72 z y x + + 2 2 3 3 2 3 2 2 + + 7/108 x z + 1/36 x - 1/27 z x - 1/24 y x - 7/72 x y z + + 3 2 2 3 35 2 2 + + 1/18 z y x + 1/24 x y, COEFF(-2, -1, 0) = 5/18 x z + -- x z + 36 + + 2 49 2 3 35 2 49 2 2 3 3 + - 5/12 x + -- z y x - -- x z - -- x y z + 5/18 z x + 5/24 x + 72 72 36 + + 49 2 3 3 3 2 3 2 + + -- x y z - 7/18 z y x + 7/9 z y x + 5/24 x + 7/12 x y - 7/24 x y + 72 + + 35 2 3 3 3 2 3 + - -- z x - 7/18 x y z - 5/9 z x - 7/24 y x , COEFF(-1, -1, 0) = + 72 + + 2 175 2 2 35 3 3 3 2 245 2 3 + 25/8 x - --- x z - 5/3 x - -- x - 20/9 x z + 25/6 z x + --- z x + 24 24 72 + + 245 2 2 49 3 3 2 35 3 3 3 2 + + --- x y z + -- z y x + 35/9 x z - -- z x - 35/6 z y x + 24 18 18 + + 343 2 3 2 3 49 3 2 + - --- z y x + 7/3 x y - 49/9 x y z + 28/9 x y z + -- y x - 35/8 x y, + 72 24 + + 3 3 3 3 245 2 2 2 + COEFF(0, -1, 0) = 10/3 z - 56/9 z y x - 14/3 y x + --- x z - 35/6 z + 18 + + 2 2 3 2 3 2 3 3 3 + + 49/6 x y - 35/6 x - 70/9 z x - 14/3 y z + 98/9 z y x + 40/9 z x + + 3 2 3 2 3 2 + + 10/3 x - 7/2 y - 70/9 z x + 5/2 + 49/6 y z + 98/9 z y x + + 343 2 2 2 2 + - --- x y z , COEFF(1, -1, 0) = - 7/3 x y + 25/6 x - 35/6 x y + 18 + + 175 2 2 3 3 2 3 3 3 + - --- x z + 56/9 z y x + 70/9 z x - 28/9 x y z + 14/3 y x + 18 + + 2 3 2 3 3 2 3 2 + - 98/9 z y x - 35/9 x z - 10/3 x - 70/9 z y x + 5/3 x + 50/9 z x + + 245 2 2 3 3 3 2 + + --- x y z + 20/9 x z - 40/9 z x + 49/9 x y z , COEFF(2, -1, 0) = + 18 + + 49 3 2 2 343 2 3 35 2 2 + 7/24 x y - -- y x - 5/4 x - 5/24 x + 7/4 x y + --- z y x + -- x z + 24 72 12 + + 35 3 3 3 2 3 2 35 2 245 2 3 49 3 3 + + -- z x + 7/3 z y x - 5/3 z x + -- x z - --- z x - -- z y x + 18 72 72 18 + + 35 3 49 2 2 49 2 3 3 + + -- x - -- x y z - -- x y z - 5/18 x z + 7/18 x y z , + 24 12 72 + + 2 3 2 49 2 3 49 2 2 + COEFF(3, -1, 0) = - 7/24 x y - 7/18 z y x - -- z y x + -- x y z + 72 72 + + 3 3 2 3 3 3 3 35 2 3 3 + + 7/24 y x + 5/18 z x + 7/18 z y x - 5/18 z x + -- z x - 5/24 x + 72 + + 35 2 2 2 49 2 2 2 2 + - -- x z + 5/24 x , COEFF(-2, 0, 0) = - -- x z + 28/9 x y z + 72 27 + + 3 2 3 3 3 14 3 + + 2/3 x y - 7/18 x - 14/9 x y z + 8/9 x y z + 8/9 z y x - -- x z + 27 + + 3 2 3 2 3 2 49 2 3 + - 16/9 z y x + 2/3 y x - 14/9 z y x + 7/9 x - 7/18 x + -- z x + 54 + + 2 28 3 2 14 3 3 49 2 98 3 3 + - 4/3 x y + -- z x - -- z x + -- x z , COEFF(-1, 0, 0) = -- z x + 27 27 54 27 + + 2 3 3 2 3 3 2 + + 98/9 z y x - 70/9 z x - 56/9 z y x - 16/3 x y - 35/6 x + + 2 3 2 49 3 343 2 3 + + 112/9 x y z - 64/9 x y z + 28/9 x + 10 x y + -- x - --- z x + 18 54 + + 112 3 2 2 245 2 2 3 2 196 2 + + --- x z - 70/3 x y z + --- x z + 40/3 z y x - --- x z + 27 18 27 + + 3 3 3 2 + - 14/3 y x , COEFF(0, 0, 0) = 32/3 y x - 56/9 z - 14/3 - 56/3 x y + 8 y + + 686 2 2 3 3 2 224 3 3 3 + - --- x z - 56/9 x - 224/9 z y x - --- z x + 32/3 y z + 27 27 + + 3 3 2 2 2 2 3 392 2 3 + + 128/9 z y x - 56/3 y z + 392/9 x y z - 224/9 z y x + --- z x + 27 + + 2 2 392 3 2 224 3 3 3 + + 98/9 z + 98/9 x + --- z x , COEFF(1, 0, 0) = --- z x + 64/9 x y z + 27 27 + + 2 2 196 2 490 2 2 2 + - 280/9 x y z + --- x z + --- x z + 40/3 x y - 28/9 x + 27 27 + + 3 3 2 392 2 3 280 3 2 + - 128/9 z y x - 112/9 x y z + 16/3 x y - --- z x - --- z x + 27 27 + + 3 3 2 2 3 3 2 112 3 + - 32/3 y x + 56/9 x - 70/9 x + 224/9 z y x + 160/9 z y x - --- x z + 27 + + 3 2 14 3 49 3 3 + , COEFF(2, 0, 0) = - 16/3 z y x + -- x z - -- x + 14/3 y x + 27 18 + + 2 2 343 2 3 98 3 3 3 3 3 2 + + 28/3 x y z + --- z x - -- z x + 56/9 z y x - 8/9 x y z - 4 x y + 54 27 + + 2 2 2 3 2 2 + + 7/3 x + 14/9 x y z - 2/3 x y + 7/18 x - 98/9 z y x - 49/9 x z + + 3 2 49 2 49 2 2 14 3 2 3 3 + + 28/9 z x - -- x z , COEFF(3, 0, 0) = -- x z - -- z x - 8/9 z y x + 54 54 27 + + 3 2 2 2 2 49 2 3 3 14 3 3 + + 8/9 z y x + 2/3 x y - 14/9 x y z - -- z x - 2/3 y x + -- z x + 54 27 + + 3 2 3 2 2 3 + + 7/18 x + 14/9 z y x - 7/18 x , COEFF(-2, 1, 0) = - 5/9 x + 5/18 x + + 10 3 3 20 3 2 10 3 3 3 35 2 + + -- z x - -- z x + -- x z - 8/9 x y z - 2/3 y x - -- x z + 27 27 27 54 + + 3 3 2 2 35 2 3 3 2 + - 2/3 x y - 8/9 z y x + 14/9 x y z + 4/3 x y - -- z x + 16/9 z y x + 54 + + 2 2 35 2 2 2 3 + - 28/9 x y z + 5/18 x + -- x z + 14/9 z y x , COEFF(-1, 1, 0) = + 27 + + 175 2 2 3 3 80 3 3 70 3 3 + - --- x z + 56/9 z y x - -- x z + 14/3 y x - 20/9 x - -- z x + 18 27 27 + + 3 2 245 2 3 2 2 3 2 + + 50/9 z x + --- z x - 10 x y + 25/6 x + 16/3 x y - 40/3 z y x + 54 + + 2 3 2 140 2 3 2 2 + - 98/9 z y x - 112/9 x y z + --- x z + 64/9 x y z + 70/3 x y z + 27 + + 35 3 2 3 3 490 2 2 + - -- x , COEFF(0, 1, 0) = - 70/9 z + 10/3 - 128/9 z y x + --- x z + 18 27 + + 3 2 280 3 2 3 2 2 + - 32/3 y x - 70/9 x - --- z x - 8 y - 32/3 y z - 392/9 x y z + 27 + + 2 160 3 3 2 3 3 3 2 + + 56/3 x y + --- z x + 224/9 z y x + 40/9 z + 224/9 z y x + 27 + + 3 280 2 3 2 2 2 + + 40/9 x - --- z x + 56/3 y z , COEFF(1, 1, 0) = 280/9 x y z + 27 + + 3 160 3 3 80 3 3 2 + - 64/9 x y z - --- z x - 16/3 x y + -- x z - 40/9 x + 112/9 x y z + 27 27 + + 350 2 2 2 3 2 3 2 + - --- x z - 224/9 z y x + 20/9 x - 40/3 x y - 160/9 z y x + 27 + + 3 3 280 2 3 2 200 3 2 3 140 2 + + 128/9 z y x + --- z x + 50/9 x + --- z x + 32/3 y x - --- x z , + 27 27 27 + + 10 3 245 2 3 35 3 2 2 + COEFF(2, 1, 0) = - -- x z - --- z x - 5/18 x + -- x + 35/9 x z + 27 54 18 + + 3 2 35 2 2 3 2 + + 16/3 z y x + 2/3 x y + -- x z - 14/9 x y z - 20/9 z x + 54 + + 2 2 2 70 3 3 3 3 3 3 + - 28/3 x y z + 4 x y + -- z x + 8/9 x y z - 56/9 z y x - 14/3 y x + 27 + + 2 3 2 10 3 3 2 + + 98/9 z y x - 5/3 x , COEFF(3, 1, 0) = - -- z x - 2/3 x y + 27 + + 3 3 2 2 3 35 2 2 3 2 2 + + 8/9 z y x + 14/9 x y z + 2/3 y x - -- x z - 8/9 z y x + 5/18 x + 54 + + 2 3 3 10 3 2 35 2 3 2 + - 14/9 z y x - 5/18 x + -- z x + -- z x , COEFF(-2, 2, 0) = 1/6 x + 27 54 + + 3 3 3 3 2 2 3 + + 7/18 x y z + 7/18 z y x + 2/9 z x - 7/12 x y - 1/12 x + + 3 2 49 2 2 49 2 3 2 3 2 + - 7/9 z y x + -- x y z - -- z y x + 7/36 z x + 7/36 x z + 36 72 + + 2 2 3 3 3 49 2 3 + - 7/18 x z + 7/24 x y - 1/9 z x - 1/9 x z - -- x y z + 7/24 y x + 72 + + 35 2 2 3 343 2 3 + - 1/12 x, COEFF(-1, 2, 0) = -- x z + 8/9 x z + --- z y x + 12 72 + + 3 2 2 245 2 2 3 2 2 + + 35/6 z y x - 7/3 x y - 14/9 x z - --- x y z - 5/3 z x + 35/8 x y + 24 + + 2 3 3 49 3 3 2 3 + + 49/9 x y z + 7/9 z x + 2/3 x - -- z y x - 5/4 x - 28/9 x y z + 18 + + 49 3 49 2 3 3 343 2 2 + - -- y x - -- z x + 7/12 x , COEFF(0, 2, 0) = --- x y z + 24 36 18 + + 3 3 3 2 2 2 3 2 + + 56/9 z y x - 4/3 z - 49/9 x z + 7/2 y + 7/3 x - 4/3 x - 49/6 y z + + 2 3 3 3 2 3 2 + - 98/9 z y x + 14/3 y x - 98/9 z y x - 1 + 14/3 y z - 49/6 x y + + 3 3 2 2 3 3 2 + - 16/9 z x + 7/3 z + 28/9 z x + 28/9 z x , COEFF(1, 2, 0) = + + 3 3 2 2 3 3 2 + 28/9 x y z + 4/3 x - 2/3 x + 14/9 x z + 98/9 z y x - 20/9 z x + + 2 2 3 3 3 3 3 2 + + 35/9 x z - 14/3 y x + 16/9 z x - 8/9 x z + 70/9 z y x + 7/3 x y + + 245 2 2 3 3 2 2 3 2 + - --- x y z - 56/9 z y x + 35/6 x y - 28/9 z x - 5/3 x + 18 + + 2 3 3 49 3 + - 49/9 x y z , COEFF(2, 2, 0) = 1/9 x z - 7/24 x y - 7/12 x + -- y x + 24 + + 49 2 2 2 49 2 3 3 2 + + -- x y z + 1/2 x + -- z x - 7/18 x y z + 1/12 x - 7/36 x z + 12 36 + + 2 2 3 2 343 2 3 3 2 3 3 + - 7/6 x z + 2/3 z x - --- z y x - 7/3 z y x - 7/9 z x + 72 + + 49 3 3 2 49 2 2 + + -- z y x - 7/4 x y + -- x y z , COEFF(3, 2, 0) = - 1/12 x + 18 72 + + 3 2 3 2 3 3 2 2 3 + + 7/18 z y x - 1/9 z x + 1/9 z x + 7/24 x y - 7/36 z x + + 3 49 2 3 2 2 49 2 2 3 3 + - 7/24 y x + -- z y x + 7/36 x z - -- x y z - 7/18 z y x + 72 72 + + 3 3 2 3 2 + + 1/12 x , COEFF(-2, 3, 0) = - 1/18 x y z + 7/72 z y x - 7/216 x z + + 2 3 3 2 2 2 3 3 + + 1/12 x y + 1/72 x - 1/27 z x + 7/108 x z - 1/24 x y - 1/18 z y x + + 2 2 3 2 3 2 + - 7/36 x y z + 1/54 x z - 7/216 z x + 1/72 x + 7/72 x y z + + 3 2 3 3 2 3 + + 1/9 z y x + 1/54 z x - 1/36 x - 1/24 y x , COEFF(-1, 3, 0) = + + 3 2 2 3 3 2 49 2 3 + 5/18 z x - 5/8 x y + 7/18 z y x + 5/24 x - 1/9 x + --- z x + 216 + + 35 2 2 3 2 49 2 3 2 2 + - -- x z - 5/6 z y x - -- z y x - 7/9 x y z + 7/27 x z + 1/3 x y + 72 72 + + 35 2 2 3 3 3 3 3 3 + + -- x y z + 7/24 y x + 4/9 x y z - 7/72 x - 4/27 x z - 7/54 z x , + 24 + + 3 2 2 49 2 2 + COEFF(0, 3, 0) = 2/9 x - 1/2 y - 7/18 z + 7/6 y z + 1/6 + -- x z + 54 + + 14 2 3 3 3 3 3 2 3 3 2 + - -- z x - 8/9 z y x - 2/3 y z + 14/9 z y x + 8/27 z x - 7/18 x + 27 + + 2 49 2 2 3 3 14 3 2 2 3 + + 7/6 x y - -- x y z + 2/9 z - 2/3 y x - -- z x + 14/9 z y x , + 18 27 + + 3 3 3 2 2 + COEFF(1, 3, 0) = - 4/9 x y z - 8/27 z x - 5/6 x y + 7/9 x y z + + 35 2 2 3 3 3 14 2 3 10 3 2 2 + + -- x y z + 8/9 z y x + 4/27 x z + -- z x + -- z x - 7/27 x z + 18 27 27 + + 35 2 2 2 3 2 3 3 + - -- x z + 1/9 x - 1/3 x y + 5/18 x + 2/3 y x - 14/9 z y x - 2/9 x + 54 + + 3 2 2 3 3 + - 10/9 z y x , COEFF(2, 3, 0) = 1/4 x y + 7/72 x + 1/18 x y z + + 2 2 2 49 2 3 2 + - 7/12 x y z - 1/12 x + -- z y x - 7/72 x y z + 1/24 x y + 72 + + 2 3 2 3 3 2 2 2 + + 7/216 x z - 1/9 z x - 1/54 x z + 1/3 z y x + 7/36 x z + + 3 49 2 3 3 3 3 3 + - 7/24 y x - 1/72 x - --- z x - 7/18 z y x + 7/54 z x , + 216 + + 2 2 2 2 2 3 3 + COEFF(3, 3, 0) = 7/72 x y z - 7/216 x z + 1/72 x - 1/54 z x + + 2 3 3 2 2 3 3 + + 7/216 z x - 1/18 z y x - 1/24 x y + 1/24 y x - 1/72 x + + 3 2 3 3 2 3 + + 1/54 z x + 1/18 z y x - 7/72 z y x , COEFF(-2, -2, 1) = + + 2 3 3 3 3 2 2 + - 5/108 x z + 1/36 z y x - 1/18 z y x - 2/27 z x + 1/27 x z + + 3 2 3 2 2 2 3 3 + + 1/9 z y x - 1/18 x y z + 5/54 x z - 1/18 x y z + 1/27 z x + + 2 2 3 2 3 + - 1/54 x z - 5/36 x y z - 1/54 z x - 5/108 z x + 1/36 x y z + + 2 3 2 3 3 2 + + 5/72 x y z + 1/27 x z + 5/72 z y x , COEFF(-1, -2, 1) = - 5/6 z y x + + 25 2 2 3 3 2 2 3 3 + + -- x y z + 4/9 x y z + 5/9 z x - 5/9 x y z + 7/18 z y x + 24 + + 3 35 2 3 35 2 3 3 2 + - 7/36 z y x - -- z y x + --- z x + 4/27 x z - 8/27 x z - 5/18 x z + 72 108 + + 25 2 2 2 10 2 3 3 3 + - -- x z + 5/12 x y z - 2/9 x y z + -- x z - 7/27 z x + 7/54 z x , + 36 27 + + 3 2 2 3 35 2 2 + COEFF(0, -2, 1) = - 8/27 z x - 7/9 x y z + 10/9 z y x - -- x y z + 18 + + 3 3 35 2 2 28 3 2 2 + + 4/9 z - 2/3 y z - 2/9 z + -- x z - -- z x + 1/3 y z - 5/9 z + 27 27 + + 20 2 3 3 3 2 3 16 3 3 3 2 + - -- z x - 8/9 z y x + 5/6 y z + 4/9 z y x + -- z x + 14/9 z y x + 27 27 + + 14 2 2 16 3 3 3 + + -- x z, COEFF(1, -2, 1) = 5/9 x y z - -- z x + 8/27 z x + 27 27 + + 3 3 20 2 3 10 2 3 + - 4/9 x y z + 8/27 x z + 2/9 x y z + -- z x - -- x z - 4/9 z y x + 27 27 + + 25 2 2 3 2 2 2 3 + - 4/27 x z + -- x y z - 10/9 z y x + 5/9 x y z - 10/9 z y x + 18 + + 25 2 2 20 3 2 3 3 10 2 + - -- x z + -- z x + 8/9 z y x - -- x z , COEFF(2, -2, 1) = + 27 27 27 + + 35 2 3 3 2 3 3 2 2 2 + - --- z x + 1/3 z y x - 1/36 x y z + 7/27 z x + 5/18 x z + 1/9 x z + 108 + + 2 2 3 2 2 + - 5/12 x y z + 1/54 x z - 7/54 z x - 5/72 x y z + 5/108 x z + + 3 3 3 2 3 3 + + 7/36 z y x - 7/18 z y x - 1/6 x y z + 1/18 x y z - 1/27 x z + + 35 2 3 3 2 3 2 2 2 + + -- z y x - 2/9 z x , COEFF(3, -2, 1) = 1/27 z x + 5/72 x y z + 72 + + 2 3 3 3 3 2 3 2 + - 5/72 z y x + 1/18 z y x - 1/18 z y x + 1/54 z x + 1/36 x y z + + 2 2 2 3 3 2 3 3 + - 1/54 x z - 5/108 x z - 1/27 z x + 5/108 z x - 1/36 z y x , + + 3 3 35 2 25 2 + COEFF(-2, -1, 1) = - 5/18 z x - -- x y z - 7/36 x y z + -- x z + 72 72 + + 2 25 2 2 3 3 3 35 2 3 + + 7/18 x y z - -- x z + 7/18 z y x - 5/18 x z - -- z y x + 36 72 + + 2 3 2 3 2 3 3 25 2 3 + - 5/18 x z - 7/9 z y x + 5/9 z x - 7/36 z y x + 5/36 z x + -- z x + 72 + + 35 2 2 3 49 3 + + -- x y z + 5/36 x z + 7/18 x y z , COEFF(-1, -1, 1) = -- z y x + 36 36 + + 125 2 2 2 3 2 3 2 175 2 3 + + --- x z - 25/9 x z - 10/9 x z + 35/6 z y x - 25/6 z x - --- z x + 24 72 + + 245 2 3 3 35 3 3 2 + + 14/9 x y z + --- z y x - 28/9 x y z + -- z x + 35/9 x y z + 72 18 + + 25 2 35 2 35 3 49 3 3 3 175 2 2 + + -- x z - -- x y z - -- z x - -- z y x + 20/9 x z - --- x y z , + 12 12 36 18 24 + + 3 2 3 2 3 + COEFF(0, -1, 1) = 20/9 z x + 50/9 z x - 35/9 x z - 10/3 z + + 2 3 2 2 3 3 + + 49/9 x y z - 98/9 z y x - 7/3 y z - 70/9 z y x + 14/3 y z + + 3 245 2 2 3 3 2 3 3 + - 28/9 z y x + --- x y z + 56/9 z y x - 35/6 y z - 40/9 z x + 18 + + 2 175 2 2 3 2 3 3 + + 25/6 z - --- x z + 5/3 z + 70/9 z x , COEFF(1, -1, 1) = 40/9 z x + 18 + + 2 3 3 2 125 2 2 2 + - 35/9 x y z + 28/9 z y x - 50/9 z x + --- x z + 25/9 x z + 18 + + 3 3 3 2 2 3 + - 20/9 z x - 14/9 x y z - 56/9 z y x - 35/9 x y z - 50/9 z x + + 2 3 2 3 2 175 2 2 + + 70/9 z y x + 25/9 x z + 10/9 x z + 70/9 z y x - --- x y z + 18 + + 3 3 35 3 49 3 + - 20/9 x z + 28/9 x y z , COEFF(2, -1, 1) = -- z x - -- z y x + 36 36 + + 3 49 3 3 35 2 2 + - 7/18 x y z + -- z y x + -- x y z - 5/36 x z + 7/6 x y z + 18 72 + + 3 2 25 2 2 35 3 3 3 245 2 3 + + 7/36 x y z - 7/3 z y x - -- x z - -- z x + 5/18 x z - --- z y x + 12 18 72 + + 35 2 2 2 3 2 175 2 3 25 2 + + -- x y z - 5/6 x z + 5/3 z x + --- z x - -- x z , COEFF(3, -1, 1) + 12 72 72 + + 25 2 2 3 25 2 3 35 2 3 35 2 2 3 3 + = -- x z - 5/36 z x - -- z x + -- z y x - -- x y z + 5/18 z x + 72 72 72 72 + + 3 2 3 3 3 3 2 2 + + 7/18 z y x + 7/36 z y x - 7/18 z y x - 5/18 z x + 5/36 x z + + 2 3 2 3 3 + - 7/36 x y z, COEFF(-2, 0, 1) = - 8/9 x y z + 10/9 z y x - 7/27 z x + + 2 2 35 2 3 2 14 2 + - 20/9 x y z - -- x z + 16/9 z y x - 7/27 x z + 4/9 x y z + -- x z + 54 27 + + 2 35 2 3 35 2 2 3 3 28 3 2 14 3 + - 8/9 x y z - -- z x + -- x z - 8/9 z y x - -- z x + -- x z + 54 27 27 27 + + 2 14 3 3 3 2 + + 10/9 x y z + -- z x + 4/9 z y x , COEFF(-1, 0, 1) = - 35/9 x z + 27 + + 56 2 2 3 2 3 3 3 2 + + -- x z + 50/3 x y z - 40/3 z y x + 56/9 z y x + 70/9 z x + 27 + + 2 3 3 98 3 3 49 3 + - 32/9 x y z - 70/9 z y x - 28/9 z y x - -- z x + -- z x + 27 27 + + 2 175 2 2 3 140 2 112 3 + - 80/9 x y z - --- x z + 64/9 x y z + --- x z - --- x z + 18 27 27 + + 2 245 2 3 2 280 2 3 + + 20/3 x y z + --- z x , COEFF(0, 0, 1) = - 112/9 x y z - --- z x + 54 27 + + 3 224 3 3 2 2 3 + + 64/9 z y x + --- z x - 280/9 x y z + 56/9 z - 28/9 z + 16/3 y z + 27 + + 2 3 196 2 2 3 2 + + 160/9 z y x + --- x z - 70/9 z - 32/3 y z + 40/3 y z + 27 + + 3 2 112 3 3 3 392 3 2 490 2 2 + + 224/9 z y x - --- z x - 128/9 z y x - --- z x + --- x z , + 27 27 27 + + 2 2 112 3 2 + COEFF(1, 0, 1) = 200/9 x y z + 32/9 x y z + --- z x + 80/9 x y z + 27 + + 2 3 2 3 140 2 280 3 2 + + 80/9 x y z - 64/9 z y x - 160/9 z y x - --- x z + --- z x + 27 27 + + 3 140 2 112 3 224 3 3 3 2 + - 64/9 x y z - --- x z + --- x z - --- z x - 160/9 z y x + 27 27 27 + + 280 2 3 56 3 3 350 2 2 + + --- z x - -- x z + 128/9 z y x - --- x z , COEFF(2, 0, 1) = + 27 27 27 + + 2 2 14 3 2 2 98 3 3 2 + - 20/3 x y z - -- x z + 35/9 x z - 4/9 x y z + -- z x - 8/3 x y z + 27 27 + + 3 3 3 2 3 2 2 3 + - 56/9 z y x + 16/3 z y x + 8/9 x y z - 10/9 x y z + 70/9 z y x + + 2 3 2 49 3 245 2 3 3 + + 14/9 x z - 28/9 z x - -- z x - --- z x + 28/9 z y x + 7/27 x z + 27 54 + + 35 2 2 3 2 2 + + -- x z , COEFF(3, 0, 1) = - 7/27 x z - 4/9 z y x + 10/9 x y z + 54 + + 14 3 3 35 2 3 35 2 2 3 3 3 3 2 + - -- z x + -- z x - -- x z + 7/27 z x + 8/9 z y x - 8/9 z y x + 27 54 54 + + 2 2 3 14 3 2 2 + + 4/9 x y z - 10/9 z y x + -- z x , COEFF(-2, 1, 1) = 8/9 x y z + 27 + + 20 3 2 25 2 3 25 2 2 2 3 3 3 25 2 + + -- z x + -- z x - -- x z - 10/9 z y x + 8/9 z y x + -- x z + 27 54 27 54 + + 3 2 3 3 10 2 3 + - 16/9 z y x + 8/9 x y z - 4/9 z y x + 5/27 x z - -- x z + 5/27 z x + 27 + + 2 2 2 10 3 3 10 3 + - 10/9 x y z + 20/9 x y z - -- z x - -- x z - 4/9 x y z, + 27 27 + + 2 3 175 2 3 35 3 2 + COEFF(-1, 1, 1) = 70/9 z y x - --- z x - -- z x - 20/3 x y z + 54 27 + + 2 100 2 2 40 70 3 3 3 3 + + 25/9 x z - --- x z + 80/9 x y z - -- x z + -- z x - 56/9 z y x + 27 27 27 + + 3 3 2 3 125 2 2 3 2 + + 28/9 z y x + 40/3 z y x - 64/9 x y z + --- x z - 50/9 z x + 18 + + 80 3 2 2 80 3 + + 32/9 x y z + -- x z - 50/3 x y z , COEFF(0, 1, 1) = -- z x + 27 27 + + 3 160 3 3 2 3 3 3 + - 64/9 z y x - 16/3 y z - --- z x - 40/3 y z + 128/9 z y x - 40/9 z + 27 + + 3 2 140 2 280 3 2 2 3 350 2 2 + - 224/9 z y x - --- x z + --- z x - 160/9 z y x - --- x z + 27 27 27 + + 3 2 2 2 2 200 2 3 + + 20/9 z + 32/3 y z + 280/9 x y z + 112/9 x y z + 50/9 z + --- z x , + 27 + + 40 100 2 2 3 3 2 + COEFF(1, 1, 1) = -- x z + --- x z + 160/9 z y x + 160/9 z y x + 27 27 + + 2 80 3 200 3 2 160 3 3 80 3 3 + - 80/9 x y z - -- z x - --- z x + --- z x - -- x z + 64/9 x y z + 27 27 27 27 + + 100 2 3 200 2 3 250 2 2 + + --- x z + 64/9 z y x - --- z x + --- x z - 32/9 x y z + 27 27 27 + + 2 2 3 3 2 25 2 + - 200/9 x y z - 128/9 z y x - 80/9 x y z, COEFF(2, 1, 1) = - -- x z + 54 + + 2 3 2 3 3 35 3 + - 10/9 x z + 20/9 z x + 56/9 z y x + -- z x + 4/9 x y z - 5/27 x z + 27 + + 3 175 2 3 2 2 2 3 + - 8/9 x y z + --- z x + 8/3 x y z + 10/9 x y z - 70/9 z y x + 54 + + 3 10 3 2 2 2 2 3 2 + - 28/9 z y x + -- x z - 25/9 x z + 20/3 x y z - 16/3 z y x + 27 + + 70 3 3 2 2 2 3 10 3 3 + - -- z x , COEFF(3, 1, 1) = - 10/9 x y z + 10/9 z y x + -- z x + 27 27 + + 2 10 3 2 25 2 2 25 2 3 3 3 3 + - 4/9 x y z - -- z x + -- x z - -- z x - 8/9 z y x + 4/9 z y x + 27 54 54 + + 3 2 2 3 3 + + 8/9 z y x + 5/27 x z - 5/27 z x , COEFF(-2, 2, 1) = 1/9 x z + + 2 3 2 35 2 2 35 2 3 2 2 + - 5/36 z x + 1/9 x z - 1/18 x z - -- x y z + -- z y x + 5/18 x z + 36 72 + + 35 2 2 3 3 3 + + -- x y z - 5/36 x z - 1/18 z x - 7/18 x y z + 7/36 z y x + 72 + + 3 3 3 2 3 2 2 3 3 + - 7/18 z y x - 2/9 z x + 7/9 z y x - 7/18 x y z + 1/9 z x + + 3 245 2 3 + + 7/36 x y z, COEFF(-1, 2, 1) = 4/9 x z + 7/18 z x - --- z y x + 72 + + 35 2 3 2 3 2 3 3 49 3 3 49 3 + + -- z x + 10/9 x z - 35/6 z y x - 7/9 z x + -- z y x - -- z y x + 36 18 36 + + 2 3 25 2 2 2 3 2 + - 5/6 x z - 8/9 x z - 14/9 x y z - -- x z - 35/9 x y z + 5/3 z x + 12 + + 3 35 2 175 2 2 3 + + 28/9 x y z + -- x y z + --- x y z , COEFF(0, 2, 1) = - 14/3 y z + 12 24 + + 3 3 2 2 3 3 2 3 + + 28/9 z y x + 98/9 z y x - 2/3 z + 70/9 z y x - 28/9 z x + 4/3 z + + 2 245 2 2 2 2 2 2 3 + - 49/9 x y z - --- x y z + 35/9 x z + 7/3 y z - 5/3 z - 20/9 z x + 18 + + 3 3 3 3 3 2 2 + + 16/9 z x - 8/9 z x - 56/9 z y x + 35/6 y z + 14/9 x z, + + 2 2 2 3 2 + COEFF(1, 2, 1) = - 10/9 x z - 25/9 x z - 28/9 z y x - 10/9 x z + + 2 3 3 2 2 3 2 + - 70/9 z y x + 20/9 z x + 20/9 z x + 35/9 x y z + 14/9 x y z + + 3 3 3 2 3 3 2 3 + - 16/9 z x - 70/9 z y x + 56/9 z y x + 35/9 x y z - 28/9 x y z + + 3 175 2 2 3 3 3 + - 4/9 x z + 8/9 z x + --- x y z + 8/9 x z , COEFF(2, 2, 1) = 7/9 z x + 18 + + 3 2 2 2 49 3 49 3 3 2 + - 1/9 x z + 5/6 x z - 7/6 x y z + -- z y x - -- z y x + 5/36 x z + 36 18 + + 35 2 3 35 2 2 2 3 3 2 35 2 + - -- z x - -- x y z + 1/3 x z + 7/18 x y z - 2/3 z x - -- x y z + 36 12 72 + + 3 2 3 245 2 3 + - 7/36 x y z + 1/18 x z + 7/3 z y x - 7/18 z x + --- z y x , + 72 + + 3 3 3 2 3 2 3 + COEFF(3, 2, 1) = - 1/9 z x - 7/18 z y x + 1/9 z x + 1/18 z x + + 3 35 2 3 2 3 2 2 2 + - 7/36 z y x - -- z y x + 5/36 z x - 1/18 x z - 5/36 x z + 72 + + 2 35 2 2 3 3 3 2 + + 7/36 x y z + -- x y z + 7/18 z y x , COEFF(-2, 3, 1) = - 1/9 z y x + 72 + + 2 3 2 2 2 + - 1/54 x z - 1/36 z y x + 1/18 x y z - 1/36 x y z + 5/36 x y z + + 3 2 2 3 3 3 + + 1/27 z x - 5/72 z y x - 1/54 x z + 1/18 x y z + 1/108 x z + + 2 3 3 3 2 2 2 2 + + 5/216 z x + 1/18 z y x + 5/216 x z - 5/108 x z - 5/72 x y z + + 3 3 3 25 2 2 3 3 + - 1/54 z x + 1/108 z x , COEFF(-1, 3, 1) = -- x z - 7/18 z y x + 72 + + 35 2 3 3 3 3 3 + + 2/9 x y z - --- z x + 4/27 x z - 2/27 x z + 7/54 z x + 7/36 z y x + 216 + + 25 2 2 3 2 2 2 35 2 3 + - -- x y z - 5/18 z x - 5/27 x z + 5/36 x z + -- z y x + 24 72 + + 2 2 3 2 3 3 + - 5/12 x y z + 5/9 x y z + 5/6 z y x - 7/108 z x - 4/9 x y z , + + 3 3 35 2 2 3 3 2 + COEFF(0, 3, 1) = 8/9 z y x - 1/3 y z - -- x z - 8/27 z x - 7/27 x z + 54 + + 2 3 10 2 3 14 3 2 3 3 + + 5/18 z - 4/9 z y x + -- z x + -- z x - 2/9 z + 2/3 y z + 27 27 + + 35 2 2 2 2 3 3 2 + + -- x y z - 5/6 y z + 7/9 x y z + 4/27 z x - 14/9 z y x + 18 + + 2 3 3 3 3 + - 10/9 z y x + 1/9 z, COEFF(1, 3, 1) = - 4/27 z x - 8/9 z y x + + 3 3 25 2 2 25 2 2 2 + + 4/9 x y z + 4/9 z y x + -- x z - -- x y z - 2/9 x y z + 5/27 x z + 54 18 + + 3 3 3 2 2 3 2 + + 8/27 z x + 10/9 z y x - 5/9 x y z - 4/27 x z - 5/9 x y z + + 2 3 2 10 2 3 10 3 2 + + 10/9 z y x + 5/27 x z - -- z x - -- z x + 2/27 x z, + 27 27 + + 2 2 2 + COEFF(2, 3, 1) = - 1/108 x z - 1/18 x z + 5/72 x y z + 1/6 x y z + + 3 35 2 3 3 2 3 2 + + 1/54 x z + --- z x + 1/9 z x - 7/36 z y x - 5/216 x z + 216 + + 3 3 3 3 35 2 3 3 3 + - 7/54 z x + 7/18 z y x - -- z y x + 7/108 z x - 1/18 x y z + 72 + + 2 2 2 2 3 2 + + 1/36 x y z - 5/36 x z + 5/12 x y z - 1/3 z y x , COEFF(3, 3, 1) = + + 2 3 2 2 3 3 2 3 + 5/72 z y x + 1/108 x z - 5/216 z x + 1/18 z y x - 1/108 z x + + 2 2 2 2 2 3 2 3 3 + - 5/72 x y z - 1/36 x y z + 5/216 x z - 1/54 z x + 1/54 z x + + 3 3 3 2 + + 1/36 z y x - 1/18 z y x , COEFF(-2, -2, 2) = - 1/48 x y z + + 3 3 2 3 2 3 + + 7/288 z y x - 1/48 z y x - 1/216 x z + 7/288 x y z + 1/432 x z + + 2 2 2 3 3 2 + + 1/144 x y z + 1/72 x z + 1/72 z x - 1/288 x y z + 7/216 z x + + 3 3 3 3 3 2 2 2 + - 7/432 x z - 7/432 z x - 1/288 z y x - 7/144 z y x + 1/24 x y z + + 3 2 2 2 2 3 + + 1/432 z x - 1/36 x z , COEFF(-1, -2, 2) = - 5/96 x y z + 7/48 z y x + + 49 3 3 3 2 2 3 + - --- z y x - 7/36 x y z - 1/54 x z + 1/6 x y z - 7/72 z x + 288 + + 49 3 3 2 2 3 2 2 35 3 2 + + --- z x + 5/24 x z + 7/54 x z - 5/16 x y z - --- z x + 432 144 + + 2 35 3 2 3 2 + + 5/144 x z + -- z y x + 7/288 z y x + 1/36 x y z - 1/9 x z + 96 + + 3 2 49 3 2 2 + - 7/432 z x , COEFF(0, -2, 2) = 7/72 x y z - -- z y x - 7/108 x z + 72 + + 3 3 3 2 3 2 2 3 + - 1/18 z y x + 7/18 z y x + 2/9 z x + 1/6 z - 1/3 z y x + 1/36 z + + 3 2 2 2 3 3 49 3 2 2 2 + - 7/36 z - 1/4 y z - 7/18 x z - 7/27 z x + --- z x + 7/12 x y z + 108 + + 3 3 3 + + 7/24 y z + 1/27 z x - 1/24 y z, COEFF(1, -2, 2) = - 7/54 x z + + 2 3 3 3 35 3 2 3 + - 5/72 x y z - 1/27 z x + 7/27 z x + -- z y x + 7/36 x y z + 72 + + 2 2 3 3 2 + - 5/12 x y z + 1/54 x z - 7/18 z y x - 1/36 x y z - 1/6 x y z + + 2 3 2 2 35 3 2 3 + + 1/3 z y x + 5/108 x z + 1/9 x z - --- z x + 1/18 z y x + 108 + + 2 3 2 2 2 3 3 + - 2/9 z x + 5/18 x z , COEFF(2, -2, 2) = - 7/48 z y x - 7/288 z y x + + 3 2 2 2 2 3 2 2 + + 7/432 x z - 1/12 x z + 1/8 x y z + 7/72 z x - 1/72 x z + + 49 3 3 3 2 49 3 3 3 2 3 + + --- z y x - 7/48 z y x - --- z x + 7/432 z x + 7/72 z x + 288 432 + + 2 2 3 2 + + 1/288 x y z + 1/48 x y z - 1/72 x z - 7/288 x y z + 1/48 x y z + + 3 2 3 2 2 + - 1/432 x z, COEFF(3, -2, 2) = 7/288 z y x + 1/288 z y x + 1/72 x z + + 3 3 2 3 2 2 3 3 3 + + 7/432 z x - 1/72 z x - 1/48 x y z - 7/288 z y x - 1/432 z x + + 2 3 3 2 2 2 + + 1/48 z y x - 7/432 z x - 1/288 x y z + 1/432 x z, COEFF(-2, -1, 2) + + 2 2 2 3 2 3 35 3 3 + = 5/144 x z - 7/144 x y z + 7/48 z y x - 5/48 z x + --- z x + 288 + + 2 2 3 49 3 3 35 3 2 + + 5/24 x z + 7/288 z y x - --- z y x - --- z x + 7/288 x y z + 288 144 + + 35 3 49 3 2 2 2 49 3 + - 5/288 x z + --- x z + --- z y x - 7/24 x y z - --- x y z + 288 144 288 + + 2 3 2 49 3 + + 7/48 x y z - 5/288 z x - 5/48 x z , COEFF(-1, -1, 2) = -- x y z + 36 + + 35 2 3 245 3 2 175 3 2 25 2 25 2 2 + + -- z x - 7/36 x y z - --- z y x + --- z x - -- x z - -- x z + 48 96 96 96 16 + + 245 3 3 49 3 35 3 343 3 3 2 + - --- z x - --- z y x + --- z x + --- z y x - 7/6 x y z + 288 288 288 288 + + 35 2 2 35 3 2 49 2 3 35 2 + + -- x y z - -- x z + 5/6 x z + 5/36 x z - -- z y x + -- x y z, + 16 36 48 96 + + 49 2 35 2 3 49 2 2 + COEFF(0, -1, 2) = - -- x y z + -- x z + 7/18 z y x - -- x y z - 5/24 z + 72 72 12 + + 35 2 2 2 3 3 35 3 245 3 2 2 + + -- x z - 5/3 z x - 5/18 z x + 7/24 y z + -- z - --- z x - 5/4 z + 12 24 72 + + 49 3 3 343 3 2 2 35 3 3 2 3 49 3 + - -- z y x + --- z y x + 7/4 y z + -- z x + 7/3 z y x - -- y z , + 18 72 18 24 + + 3 175 3 2 2 3 2 3 + COEFF(1, -1, 2) = - 7/18 z y x + --- z x - 7/3 z y x + 5/3 z x + 72 + + 2 35 3 35 2 25 2 245 3 2 49 3 3 + - 5/6 x z + -- x z + -- x y z - -- x z - --- z y x + -- z y x + 36 72 72 72 18 + + 35 2 2 49 3 35 3 3 2 3 + + -- x y z - -- x y z - -- z x - 5/36 x z + 7/6 x y z + 5/18 z x + 12 36 18 + + 25 2 2 49 2 3 35 3 + + 7/36 x y z - -- x z , COEFF(2, -1, 2) = -- z y x - --- x z + 12 48 288 + + 2 35 3 2 35 3 2 2 49 3 49 3 + + 5/48 x z - -- z x - --- z x + 5/8 x z + --- x y z + --- z y x + 48 288 288 288 + + 49 3 2 35 2 3 343 3 3 245 3 3 2 2 + + -- z y x - -- z x - --- z y x + --- z x - 7/8 x y z + 48 48 288 288 + + 2 2 2 + - 7/48 x y z + 5/48 x z - 7/48 x y z + 5/288 x z - 7/288 x y z, + + 35 3 2 2 2 3 49 3 2 + COEFF(3, -1, 2) = --- z x + 7/48 x y z + 5/288 z x - --- z y x + 288 288 + + 2 2 3 2 3 49 3 3 2 + - 5/288 x z - 7/48 z y x + 5/48 z x + --- z y x + 7/288 x y z + 288 + + 35 3 3 2 2 3 49 3 + - --- z x - 5/48 x z - 7/288 z y x , COEFF(-2, 0, 2) = - --- x z + 288 216 + + 2 3 3 3 3 2 3 + + 7/36 z x - 1/18 x y z + 7/18 z y x + 7/216 z x - 1/3 z y x + + 2 2 49 3 3 49 3 2 3 + + 2/3 x y z - --- z x + --- z x - 1/18 z y x + 7/216 x z + 216 108 + + 2 2 2 2 3 2 + + 7/36 x z - 1/3 x y z + 1/9 x y z - 7/108 x z - 7/9 z y x + + 3 2 2 2 2 + + 7/18 x y z - 7/18 x z , COEFF(-1, 0, 2) = - 14/9 x z + 8/3 x y z + + 49 3 2 3 49 3 343 3 3 + + 4/9 x y z - --- z x - 5/6 x y z - 28/9 x y z + -- x z + --- z x + 216 27 216 + + 245 3 2 2 2 49 2 3 49 3 3 35 2 2 3 2 + - --- z x - 5 x y z - -- z x - -- z y x + -- x z + 35/6 z y x + 72 36 18 12 + + 2 3 3 35 2 + + 7/3 z y x + 7/18 z y x - 7/27 x z + -- x z, COEFF(0, 0, 2) = + 72 + + 3 3 49 3 2 3 14 3 3 + 56/9 z y x - -- z - 16/3 z y x + -- z x + 7/18 z - 8/9 z y x + 18 27 + + 3 2 2 3 2 343 3 2 3 + - 98/9 z y x + 28/9 z x + 7/3 z - 2/3 y z + --- z x + 14/3 y z + 54 + + 49 2 2 2 2 2 98 3 3 2 2 + - -- x z - 49/9 x z + 28/3 x y z - -- z x + 14/9 x y z - 4 y z , + 54 27 + + 3 2 2 35 2 + COEFF(1, 0, 2) = - 4/9 x y z + 70/9 z y x - 10/9 x y z + -- x z + 54 + + 49 3 3 2 2 3 2 + - -- x z + 8/9 z y x - 20/3 x y z + 28/9 x y z - 8/3 x y z + 27 + + 245 3 2 2 2 2 2 3 3 3 + - --- z x + 14/9 x z + 35/9 x z - 28/9 z x - 56/9 z y x + 54 + + 98 3 3 14 3 2 3 + + 7/27 x z + -- z x - -- z x + 16/3 z y x , COEFF(2, 0, 2) = + 27 27 + + 49 2 3 2 3 2 2 + 1/18 x y z + -- z x - 7/36 x z - 7/216 x z - 7/18 z y x + 2 x y z + 36 + + 49 3 2 3 49 3 3 2 343 3 3 + + --- z x - 7/36 x z - 7/18 x y z + --- x z - 7/3 z y x - --- z x + 216 216 216 + + 2 3 49 3 3 2 2 2 2 + - 7/3 z y x + -- z y x + 1/3 x y z - 7/6 x z + 1/3 x y z + 18 + + 49 3 2 3 2 2 2 2 3 + + -- z x , COEFF(3, 0, 2) = 7/18 z y x - 1/3 x y z - 7/36 z x + 36 + + 2 2 3 2 2 2 3 + + 7/216 x z + 1/3 z y x + 7/36 x z - 1/18 x y z + 1/18 z y x + + 3 3 3 49 3 2 49 3 3 + - 7/216 z x - 7/18 z y x - --- z x + --- z x , COEFF(-2, 1, 2) = + 216 216 + + 2 3 3 3 2 + 1/3 z y x - 7/18 x y z + 1/18 z y x + 1/18 x y z + 1/3 x y z + + 2 3 2 3 2 2 2 + - 5/36 z x - 1/9 x y z + 7/9 z y x - 5/36 x z + 5/108 x z + + 3 3 35 3 2 2 35 3 2 + - 7/18 z y x + --- x z + 5/18 x z - 5/216 x z - --- z x + 216 108 + + 2 2 3 35 3 3 2 + - 2/3 x y z - 5/216 z x + --- z x , COEFF(-1, 1, 2) = 5/6 x y z + 216 + + 2 25 2 2 49 3 3 245 3 3 2 3 + + 10/9 x z - -- x z + -- z y x - --- z x - 7/3 z y x - 4/9 x y z + 12 18 216 + + 35 3 35 2 3 3 175 3 2 25 2 3 2 + - -- x z + -- z x - 7/18 z y x + --- z x - -- x z - 35/6 z y x + 27 36 72 72 + + 35 3 2 2 3 2 + + 5/27 x z + --- z x + 5 x y z + 28/9 x y z - 8/3 x y z , + 216 + + 70 3 3 3 2 35 3 245 3 2 + COEFF(0, 1, 2) = -- z x - 14/3 y z - 5/3 z + -- z - --- z x + 27 18 54 + + 2 3 3 2 3 2 2 2 + - 20/9 z x + 2/3 y z + 8/9 z y x + 4 y z + 98/9 z y x + 35/9 x z + + 2 3 2 2 2 3 3 + - 5/18 z + 16/3 z y x - 28/3 x y z - 14/9 x y z - 56/9 z y x + + 35 2 10 3 3 70 3 3 + + -- x z - -- z x , COEFF(1, 1, 2) = - 28/9 x y z - -- z x + 54 27 27 + + 2 2 3 3 2 35 3 + + 10/9 x y z - 5/27 x z + 4/9 x y z + 20/9 z x - 70/9 z y x + -- x z + 27 + + 3 3 2 3 2 2 2 3 + + 56/9 z y x - 16/3 z y x + 8/3 x y z + 20/3 x y z - 8/9 z y x + + 25 2 175 3 2 2 10 3 2 2 + - -- x z + --- z x - 10/9 x z + -- z x - 25/9 x z , COEFF(2, 1, 2) + 54 54 27 + + 2 35 3 245 3 3 2 + = - 1/3 x y z - --- x z - 1/18 x y z + 5/216 x z + --- z x + 5/36 x z + 216 216 + + 2 3 3 2 3 49 3 3 3 + + 7/3 z y x + 7/3 z y x + 7/18 x y z - -- z y x + 7/18 z y x + 18 + + 35 3 2 2 2 2 2 35 3 2 35 2 3 + - --- z x - 2 x y z + 5/36 x z + 5/6 x z - -- z x - -- z x + 216 36 36 + + 2 3 3 3 2 + - 1/3 x y z , COEFF(3, 1, 2) = 7/18 z y x - 1/18 z y x - 5/216 x z + + 2 3 2 2 2 3 35 3 2 + + 5/36 z x + 1/3 x y z + 1/18 x y z + 5/216 z x + --- z x + 216 + + 35 3 3 2 2 2 3 3 2 + - --- z x - 5/36 x z - 1/3 z y x - 7/18 z y x , COEFF(-2, 2, 2) = + 216 + + 2 3 49 3 3 3 3 + - 7/48 x y z + 1/144 z x - 7/288 x y z + --- z y x - 7/144 z x + 288 + + 2 2 3 3 2 2 2 + - 1/12 x z - 7/144 x z + 7/72 z x + 1/24 x z - 1/72 x z + + 2 2 2 3 2 3 + + 7/24 x y z + 1/24 z x + 7/144 x y z - 7/288 z y x + 1/144 x z + + 2 3 49 3 2 49 3 2 + - 7/48 z y x - --- z y x + --- x y z , COEFF(-1, 2, 2) = 5/48 x z + 144 288 + + 245 3 2 3 2 2 3 2 3 + + --- z y x - 7/144 z x + 5/8 x z + 7/18 x z - 7/24 z x + 96 + + 2 49 2 3 49 3 2 + + 7/6 x y z + -- z y x + 7/36 x y z - -- x y z - 1/18 x z - 1/3 x z + 48 36 + + 49 3 35 2 35 3 2 343 3 3 35 2 2 49 3 3 + + --- z y x - -- x y z - -- z x - --- z y x - -- x y z + --- z x + 288 96 48 288 16 144 + + 3 3 2 3 + , COEFF(0, 2, 2) = - 7/9 z x - 7/36 x z + 1/12 z - 7/18 z y x + + 2 2 3 49 2 2 3 2 49 3 3 + - 7/4 y z + 2/3 z x + -- x y z + 1/9 z x + 1/2 z + -- z y x + 12 18 + + 2 3 343 3 2 3 49 3 49 2 + - 7/24 y z - 7/3 z y x - --- z y x - 7/12 z + -- y z + -- x y z + 72 24 72 + + 2 2 49 3 2 3 + - 7/6 x z + -- z x , COEFF(1, 2, 2) = 7/18 z y x - 7/36 x y z + 36 + + 49 3 3 49 3 2 3 2 2 3 3 2 + - -- z y x + -- x y z + 7/3 z y x + 5/6 x z + 7/9 z x + 5/36 x z + 18 36 + + 2 2 245 3 2 35 3 2 3 + + 1/3 x z - 7/6 x y z + --- z y x - -- z x + 1/18 x z - 1/9 z x + 72 36 + + 35 2 35 2 2 2 3 3 + - -- x y z - -- x y z - 2/3 z x - 7/18 x z , COEFF(2, 2, 2) = + 72 12 + + 2 2 3 2 3 49 3 + 7/48 x y z + 7/24 z x + 7/48 x y z + 7/144 z x - --- x y z + 288 + + 3 49 3 2 2 49 3 2 343 3 3 + + 7/144 x z - --- z y x - 1/4 x z - -- z y x + --- z y x + 288 48 288 + + 3 2 2 49 3 3 + + 7/24 z x - 1/24 x z - 1/144 x z - --- z x + 7/288 x y z + 144 + + 2 2 49 2 3 2 2 2 + + 7/8 x y z - -- z y x - 1/24 x z, COEFF(3, 2, 2) = - 7/48 x y z + 48 + + 3 49 3 2 3 2 2 3 + - 1/144 z x + --- z y x + 7/288 z y x + 1/144 x z - 1/24 z x + 288 + + 2 2 3 3 3 2 2 3 2 + + 1/24 x z + 7/144 z x - 7/144 z x + 7/48 z y x - 7/288 x y z + + 49 3 3 2 2 + - --- z y x , COEFF(-2, 3, 2) = - 1/24 x y z + 1/288 x y z + 288 + + 2 3 2 3 3 2 3 + + 1/48 z y x - 1/144 x z - 7/288 x y z + 7/144 z y x - 1/864 z x + + 2 3 2 2 2 + + 1/48 x y z + 1/288 z y x + 1/72 x z - 1/864 x z - 1/144 x y z + + 2 3 3 3 3 3 2 3 + + 1/432 x z + 7/864 z x - 7/288 z y x + 7/864 x z - 1/144 z x + + 3 2 3 2 35 3 2 + - 7/432 z x , COEFF(-1, 3, 2) = - 7/108 x z + 5/96 x y z - -- z y x + 96 + + 2 2 3 3 3 + - 1/36 x y z - 1/6 x y z + 7/144 z x - 7/288 z y x + 7/36 x y z + + 35 3 2 2 2 49 3 3 2 2 2 + + --- z x + 5/16 x y z - --- z x + 1/18 x z - 5/48 x z + 288 864 + + 2 3 2 3 49 3 3 + - 5/288 x z + 1/108 x z + 7/864 z x - 7/48 z y x + --- z y x , + 288 + + 2 2 3 2 + COEFF(0, 3, 2) = - 1/72 z + 7/36 x z - 1/54 z x - 7/72 x y z + + 3 3 2 3 3 2 2 2 3 + - 7/18 z y x + 1/3 z y x + 7/72 z - 7/12 x y z - 1/9 z x + + 3 3 49 3 2 49 3 2 2 + + 1/24 y z + 7/54 z x + -- z y x - --- z x + 7/216 x z + 72 216 + + 3 2 2 3 + + 1/18 z y x + 1/4 y z - 1/12 z - 7/24 y z , COEFF(1, 3, 2) = + + 3 3 3 3 3 2 2 + 7/108 x z + 1/54 z x - 1/18 z y x + 7/18 z y x - 5/36 x z + + 2 2 2 3 2 2 + + 5/12 x y z + 1/9 z x + 1/6 x y z - 1/18 x z + 1/36 x y z + + 35 3 2 2 3 3 3 3 + - 1/108 x z + --- z x - 1/3 z y x - 7/54 z x - 7/36 x y z + 216 + + 35 3 2 2 2 3 + - -- z y x + 5/72 x y z - 5/216 x z, COEFF(2, 3, 2) = 7/288 x y z + 72 + + 2 2 2 2 3 2 + + 1/144 x z - 1/48 x y z + 1/24 x z - 7/144 z x + 1/864 x z + + 3 2 3 2 3 49 3 3 + - 7/864 z x - 1/48 x y z + 7/48 z y x + 7/288 z y x + --- z x + 864 + + 3 2 3 2 3 49 3 3 2 2 + - 7/864 x z - 7/144 z x + 7/48 z y x - --- z y x - 1/8 x y z + 288 + + 2 3 2 3 + - 1/288 x y z + 1/144 x z, COEFF(3, 3, 2) = - 7/288 z y x + 1/864 z x + + 2 2 2 3 3 2 3 3 + + 1/288 x y z + 1/48 x y z - 7/864 z x - 1/48 z y x - 1/288 z y x + + 3 2 2 2 2 2 3 3 3 + + 7/864 z x - 1/144 x z - 1/864 x z + 1/144 z x + 7/288 z y x , + + 2 2 2 3 3 2 3 + COEFF(-2, -2, 3) = 1/216 x z + 1/288 z y x + 1/144 z y x + 1/432 x z + + 3 2 3 3 3 3 2 2 3 + - 1/216 z x + 1/432 z x - 1/288 z y x - 1/432 x z - 1/432 z x + + 3 2 2 2 + - 1/288 x y z + 1/288 x y z - 1/144 x y z , COEFF(-1, -2, 3) = + + 3 3 3 3 2 3 3 2 + 1/36 x y z - 7/432 z x - 5/96 z y x - 1/54 x z + 5/144 z x + + 2 3 2 2 2 2 2 2 + - 7/288 z y x - 1/36 x y z - 5/144 x z + 5/96 x y z + 1/54 x z + + 2 3 3 3 3 2 + + 7/432 z x + 7/288 z y x , COEFF(0, -2, 3) = 1/36 z - 1/36 z + + 3 3 2 3 2 2 2 3 3 3 + - 1/18 z y x + 1/18 z y x - 7/72 x y z - 1/27 z x + 1/27 z x + + 2 2 3 3 2 3 2 2 + + 7/108 x z - 1/24 y z - 7/108 z x + 7/72 z y x + 1/24 y z , + + 2 2 3 2 2 3 2 + COEFF(1, -2, 3) = 5/72 x y z - 5/72 z y x - 1/18 z y x - 1/54 x z + + 3 3 3 2 3 3 3 2 3 + + 1/18 z y x + 5/108 z x + 1/54 x z - 1/27 z x + 1/27 z x + + 3 2 2 2 3 3 + - 1/36 x y z - 5/108 x z + 1/36 x y z , COEFF(2, -2, 3) = 7/432 z x + + 2 3 2 2 3 2 3 3 3 + - 7/432 z x + 1/72 x z + 1/48 z y x - 1/432 x z - 7/288 z y x + + 3 2 2 2 2 2 3 + + 1/288 x y z - 1/288 x y z + 1/432 x z - 1/48 x y z + 7/288 z y x + + 3 2 3 3 2 2 + - 1/72 z x , COEFF(3, -2, 3) = - 1/432 z x + 1/288 x y z + + 3 2 2 3 2 2 3 2 2 3 + + 1/432 z x - 1/288 z y x - 1/432 x z - 1/288 z y x + 1/432 z x + + 3 3 2 2 3 2 + + 1/288 z y x , COEFF(-2, -1, 3) = - 5/144 x z + 5/144 z x + + 3 2 3 3 2 2 3 + + 7/288 x y z - 7/288 z y x - 7/144 z y x - 7/288 x y z - 5/288 x z + + 3 3 2 3 2 2 2 3 3 + - 5/288 z x + 5/288 z x + 5/288 x z + 7/144 x y z + 7/288 z y x , + + 35 2 2 49 3 3 35 3 2 25 3 2 + COEFF(-1, -1, 3) = - -- x y z - --- z y x + -- z y x - -- z x + 96 288 96 96 + + 3 35 3 3 3 35 2 3 25 2 2 2 + + 5/36 x z + --- z x - 7/36 x y z - --- z x + -- x z + 7/36 x y z + 288 288 96 + + 2 49 2 3 3 49 3 2 + - 5/36 x z + --- z y x , COEFF(0, -1, 3) = 7/24 y z - -- z y x + 288 72 + + 35 3 2 2 3 3 49 2 2 2 3 3 + + -- z x + 5/18 z x - 5/24 z + -- x y z - 7/24 y z - 5/18 z x + 72 72 + + 2 35 2 2 2 3 3 3 + + 5/24 z - -- x z - 7/18 z y x + 7/18 z y x , COEFF(1, -1, 3) = + 72 + + 25 3 2 3 3 3 25 2 2 2 3 + - -- z x + 7/36 x y z - 7/18 z y x + -- x z - 5/18 z x + 72 72 + + 2 3 3 2 3 3 35 3 2 + - 7/36 x y z + 5/18 z x + 7/18 z y x - 5/36 x z + -- z y x + 72 + + 2 35 2 2 2 35 2 3 + + 5/36 x z - -- x y z , COEFF(2, -1, 3) = - 5/288 x z + --- z x + 72 288 + + 3 2 2 2 49 3 3 3 + - 7/288 x y z - 5/48 x z + 7/288 x y z + --- z y x + 5/288 x z + 288 + + 3 2 3 2 2 2 35 3 3 49 2 3 + + 5/48 z x - 7/48 z y x + 7/48 x y z - --- z x - --- z y x , + 288 288 + + 2 3 2 3 3 3 + COEFF(3, -1, 3) = - 5/288 z x + 7/288 z y x - 7/288 z y x + + 3 2 2 2 3 2 3 3 2 2 + + 7/288 z y x - 7/288 x y z - 5/288 z x + 5/288 z x + 5/288 x z , + + 2 3 3 2 2 3 3 + COEFF(-2, 0, 3) = - 7/216 z x - 1/18 x y z - 1/9 x y z + 7/216 z x + + 2 3 2 2 2 3 2 3 + - 7/216 x z - 7/108 z x + 7/108 x z + 7/216 x z + 1/18 z y x + + 3 2 2 3 3 + + 1/9 z y x + 1/18 x y z - 1/18 z y x , COEFF(-1, 0, 3) = + + 2 3 49 3 3 2 2 3 3 3 + - 7/18 z y x - --- z x + 5/6 x y z + 7/18 z y x + 4/9 x y z + 216 + + 2 49 2 3 35 2 2 3 2 35 3 2 + + 7/27 x z + --- z x - -- x z - 7/27 x z - 4/9 x y z + -- z x + 216 72 72 + + 3 2 3 14 2 3 2 3 + - 5/6 z y x , COEFF(0, 0, 3) = 7/18 z - -- z x + 8/9 z y x + 27 + + 3 3 14 3 3 2 3 2 3 + - 8/9 z y x + -- z x + 2/3 y z + 14/9 z y x - 2/3 y z + 27 + + 2 2 2 49 2 2 49 3 2 14 2 3 + - 14/9 x y z - 7/18 z + -- x z - -- z x , COEFF(1, 0, 3) = -- z x + 54 54 27 + + 35 3 2 3 3 2 3 2 2 2 + + -- z x + 8/9 z y x - 8/9 z y x - 7/27 x z + 10/9 x y z + 54 + + 3 3 2 35 2 2 14 3 3 3 2 + + 7/27 x z - 4/9 x y z + 4/9 x y z - -- x z - -- z x - 10/9 z y x + 54 27 + + 2 49 2 3 3 2 49 3 3 + , COEFF(2, 0, 3) = - 1/18 x y z - --- z x - 7/36 z x + --- z x + 216 216 + + 3 3 3 2 2 3 2 2 3 + - 7/18 z y x + 1/3 z y x + 7/18 z y x + 7/36 x z - 7/216 x z + + 2 2 2 3 3 2 + + 7/216 x z - 1/3 x y z + 1/18 x y z , COEFF(3, 0, 3) = - 1/18 z y x + + 3 2 2 2 2 3 3 3 2 3 + + 7/216 z x + 1/18 x y z + 7/216 z x + 1/18 z y x - 1/18 z y x + + 3 3 2 2 3 2 2 + - 7/216 z x - 7/216 x z , COEFF(-2, 1, 3) = 5/108 z x + 5/216 x z + + 3 3 2 3 2 3 3 3 + + 1/18 z y x - 1/18 z y x + 5/216 z x - 5/216 x z + 1/18 x y z + + 2 2 2 3 2 3 3 2 2 + - 1/18 x y z - 5/108 x z - 1/9 z y x - 5/216 z x + 1/9 x y z , + + 3 3 2 3 2 2 2 + COEFF(-1, 1, 3) = - 7/18 z y x + 7/18 z y x - 5/6 x y z + 4/9 x y z + + 35 3 3 35 2 3 3 3 2 2 25 3 2 + + --- z x - --- z x - 4/9 x y z + 5/6 z y x - 5/27 x z - -- z x + 216 216 72 + + 3 25 2 2 35 3 2 3 10 3 3 + + 5/27 x z + -- x z , COEFF(0, 1, 3) = -- z x - 5/18 z - -- z x + 72 54 27 + + 2 35 2 2 3 2 2 2 10 2 3 2 + + 5/18 z - -- x z - 14/9 z y x + 14/9 x y z + -- z x - 2/3 y z + 54 27 + + 3 3 3 2 3 3 + + 2/3 y z + 8/9 z y x - 8/9 z y x , COEFF(1, 1, 3) = - 5/27 x z + + 2 3 2 10 3 3 2 25 3 2 + - 4/9 x y z + 10/9 z y x + -- z x + 5/27 x z - -- z x + 27 54 + + 3 3 3 10 2 3 2 2 2 3 + - 8/9 z y x + 4/9 x y z - -- z x - 10/9 x y z + 8/9 z y x + 27 + + 25 2 2 2 3 35 2 3 3 2 + + -- x z , COEFF(2, 1, 3) = - 7/18 z y x + --- z x - 1/3 z y x + 54 216 + + 3 2 2 3 3 3 3 + + 5/36 z x + 1/18 x y z + 7/18 z y x + 5/216 x z - 1/18 x y z + + 35 3 3 2 2 2 2 2 + - --- z x + 1/3 x y z - 5/216 x z - 5/36 x z , COEFF(3, 1, 3) = + 216 + + 2 3 3 2 3 2 3 3 2 3 + 1/18 z y x - 5/216 z x + 1/18 z y x + 5/216 z x - 5/216 z x + + 3 3 2 2 2 2 + - 1/18 z y x + 5/216 x z - 1/18 x y z , COEFF(-2, 2, 3) = + + 3 2 3 2 2 3 2 3 + - 1/72 z x - 7/288 x y z + 1/72 x z + 1/144 x z + 7/288 z y x + + 2 3 3 2 2 2 3 3 2 + - 1/144 x z + 1/144 z x - 7/144 x y z - 1/144 z x + 7/144 z y x + + 3 3 2 2 3 + - 7/288 z y x + 7/288 x y z , COEFF(-1, 2, 3) = 7/144 z x + + 3 3 2 2 3 3 49 2 3 + + 7/36 x y z + 5/48 z x + 1/18 x z - 7/144 z x - --- z y x + 288 + + 2 2 3 49 3 3 35 3 2 2 + - 5/48 x z - 1/18 x z + --- z y x - -- z y x - 7/36 x y z + 288 96 + + 35 2 2 2 3 49 2 2 + + -- x y z , COEFF(0, 2, 3) = 7/24 y z - 7/24 y z - -- x y z + 96 72 + + 3 3 3 2 2 3 3 2 2 2 + - 7/18 z y x + 1/12 z - 1/12 z - 1/9 z x - 7/36 z x + 7/36 x z + + 2 3 3 3 49 3 2 35 3 2 + + 7/18 z y x + 1/9 z x + -- z y x , COEFF(1, 2, 3) = - -- z y x + 72 72 + + 2 2 3 2 3 2 3 3 + - 5/36 x z - 7/36 x y z + 7/36 x y z + 5/36 z x + 7/18 z y x + + 3 3 3 2 2 3 35 2 2 + - 1/9 z x + 1/18 x z - 1/18 x z - 7/18 z y x + -- x y z + 72 + + 2 3 2 2 3 2 + + 1/9 z x , COEFF(2, 2, 3) = 1/144 x z - 7/144 z x - 7/288 x y z + + 49 3 3 3 2 49 2 3 3 3 2 + - --- z y x - 1/24 z x + --- z y x + 7/288 x y z + 7/48 z y x + 288 288 + + 3 3 2 2 3 2 2 + + 7/144 z x + 1/24 x z - 1/144 x z - 7/48 x y z , COEFF(3, 2, 3) = + + 3 2 2 2 2 2 3 2 3 3 + - 7/288 z y x - 1/144 x z + 7/288 x y z + 1/144 z x - 1/144 z x + + 3 3 2 3 2 3 + + 7/288 z y x + 1/144 z x - 7/288 z y x , COEFF(-2, 3, 3) = + + 3 2 2 2 3 2 2 3 + - 1/144 z y x - 1/432 x z + 1/288 x y z + 1/144 x y z - 1/864 x z + + 2 3 2 2 3 3 3 2 + - 1/288 z y x - 1/288 x y z + 1/864 x z - 1/864 z x + 1/432 z x + + 3 3 2 3 3 2 + + 1/288 z y x + 1/864 z x , COEFF(-1, 3, 3) = 5/96 z y x + + 2 2 2 3 3 2 2 3 + - 5/96 x y z - 7/864 z x - 5/288 z x + 1/36 x y z - 1/36 x y z + + 2 3 2 2 2 3 3 3 + + 7/288 z y x - 1/108 x z + 5/288 x z + 7/864 z x + 1/108 x z + + 3 3 2 3 2 2 3 + - 7/288 z y x , COEFF(0, 3, 3) = - 1/18 z y x - 1/24 y z + 1/54 z x + + 3 3 2 2 2 3 2 3 3 + - 1/72 z + 7/216 z x + 7/72 x y z - 7/72 z y x - 1/54 z x + + 2 3 3 3 2 2 + + 1/72 z + 1/18 z y x + 1/24 y z - 7/216 x z , COEFF(1, 3, 3) = + + 2 2 2 3 3 2 3 2 + 1/108 x z - 1/36 x y z + 1/18 z y x - 5/216 z x + 5/72 z y x + + 3 2 3 3 2 2 3 3 + + 1/36 x y z - 1/54 z x - 1/108 x z + 5/216 x z + 1/54 z x + + 2 2 3 3 2 + - 5/72 x y z - 1/18 z y x , COEFF(2, 3, 3) = - 1/864 x z + + 2 2 3 2 3 3 3 2 + + 1/48 x y z + 1/864 x z + 7/864 z x - 1/288 x y z - 1/48 z y x + + 2 2 2 3 2 3 3 3 2 + - 1/144 x z - 7/288 z y x + 1/288 x y z - 7/864 z x + 1/144 z x + + 3 3 3 2 2 2 + + 7/288 z y x , COEFF(3, 3, 3) = - 1/864 z x - 1/288 x y z + + 3 3 3 3 2 3 2 3 2 2 + + 1/864 z x - 1/288 z y x - 1/864 z x + 1/288 z y x + 1/864 x z + + 3 2 + + 1/288 z y x ] + +> print_coeff__lc_of_data(%, "coeff_dyy_", "fp", +> "3d.coeffs/3d.cube.order3/coeff-dyy.compute.c"); +bytes used=32403604000, alloc=56350640, time=9762.52 +bytes used=32404604504, alloc=56350640, time=9762.60 +bytes used=32405604944, alloc=56350640, time=9762.69 +bytes used=32406605432, alloc=56350640, time=9762.79 +bytes used=32407605956, 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time=11090.63 +bytes used=35012168628, alloc=56350640, time=11090.79 +bytes used=35013168804, alloc=56350640, time=11090.95 +bytes used=35014169036, alloc=56350640, time=11091.15 +bytes used=35015169224, alloc=56350640, time=11091.30 +bytes used=35016169572, alloc=56350640, time=11091.49 +bytes used=35017169772, alloc=56350640, time=11091.67 +bytes used=35018170016, alloc=56350640, time=11091.84 +bytes used=35019170200, alloc=56350640, time=11092.02 +bytes used=35020170400, alloc=56350640, time=11092.17 +> +# d^2/dydz +> simplify( diff(interp_3d_cube_order3,y,z) ); +bytes used=35021171472, alloc=56350640, time=11092.32 +bytes used=35023966752, alloc=56350640, time=11092.59 +bytes used=35024967056, alloc=56350640, time=11092.70 +bytes used=35025967504, alloc=56350640, time=11092.81 +bytes used=35026967720, alloc=56350640, time=11092.93 +bytes used=35027967888, alloc=56350640, time=11093.04 +bytes used=35028968448, alloc=56350640, time=11093.14 +bytes used=35029968960, alloc=56350640, 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time=11098.06 +bytes used=35066982172, alloc=56350640, time=11098.17 +bytes used=35067982664, alloc=56350640, time=11098.30 +bytes used=35068982844, alloc=56350640, time=11098.43 +bytes used=35069983068, alloc=56350640, time=11098.57 + 2 2 2 2 +- 1/24 x y z DATA(-2, 2, 3) + 5/16 x y z DATA(-1, 2, 3) + + 35 2 2 49 + + -- x y z DATA(-1, -2, -1) + -- x y z DATA(-2, 0, 0) + 48 27 + + 49 + + 1/432 x y z DATA(-2, 3, 3) - -- x y z DATA(2, 0, 0) + 27 + + - 1/432 x y z DATA(2, 3, 3) + 7/108 x y z DATA(2, 3, 0) + + 14 + + 7/108 x y z DATA(2, 0, 3) - -- x y z DATA(1, 3, 0) + 27 + + 2 2 2 2 2 2 + + 1/2 x y z DATA(2, -2, 1) - 5/3 x y z DATA(1, -2, 1) + + 2 2 2 2 2 2 + - 5/4 x y z DATA(-1, -2, 1) + 7/6 x y z DATA(-2, 2, 1) + + 2 2 2 2 2 2 + - 8/3 x y z DATA(-2, 1, 1) - 7/6 x y z DATA(-2, -1, 1) + + 2 2 2 2 2 2 + - 7/3 x y z DATA(0, 3, 1) - 7/48 x y z DATA(0, 3, 3) + + 2 2 2 2 + - 1/12 x y z DATA(3, 1, -2) + 1/9 x y DATA(2, -2, 1) + + 35 2 35 2 49 2 + + -- x y DATA(0, -1, 2) + -- x y DATA(0, 1, 2) - -- x y DATA(0, 0, 2) + 72 54 54 + + 2 2 + - 7/36 x y DATA(0, 2, 2) + 7/216 x y DATA(0, 3, 2) + + 2 100 2 + + 7/27 x y DATA(0, 3, -1) + --- x y DATA(1, 1, 1) + 27 + + 2 14 2 + - 7/108 x y DATA(0, -2, 2) - -- x y DATA(0, -2, -1) + 27 + + 2 2 + - 7/27 x y DATA(0, 3, 1) + 5/216 x y DATA(3, 1, -2) + + 2 3 + + 7/27 x y DATA(3, 0, -1) - 1/864 y x DATA(-2, 3, 2) + + 2 2 + - 1/864 x y DATA(3, 3, 2) - 1/108 x y DATA(3, 3, -1) + + 196 2 10 2 + + --- x y DATA(0, 0, 1) - -- x y DATA(1, -2, 1) + 27 27 + + 2 2 + - 1/72 x y DATA(-1, 3, 2) + 1/36 x y DATA(2, 0, 2) + + 2 2 + + 16/9 x y DATA(1, 0, 1) - 1/9 x y DATA(-1, 3, -1) + + 2 2 + - 2/9 x y DATA(-2, 0, -1) + 1/576 x y DATA(-2, 3, 2) + + 2 2 + + 1/72 x y DATA(-2, 3, -1) + 1/72 x y DATA(2, 3, 1) + + 2 2 + + 1/9 x y DATA(-1, 3, 1) - 2/9 x y DATA(1, 0, 2) + + 2 2 + + 2/9 x y DATA(-1, 0, 2) - 16/9 x y DATA(1, 0, -1) + + 2 2 + - 2/9 x y DATA(2, 0, 1) + 2/9 x y DATA(2, 0, -1) + + 2 25 2 + - 16/9 x y DATA(-1, 0, 1) + -- x y DATA(-1, -1, -2) + 96 + + 2 2 + + 5/27 x y DATA(3, 1, 1) - 1/54 x y DATA(3, -2, 1) + + 3 2 + + 7/27 y x DATA(-2, 0, -1) + 7/108 x y DATA(0, -2, -2) + + 2 2 + - 7/216 x y DATA(0, 3, -2) + 7/36 x y DATA(0, 2, -2) + + 49 2 35 2 + + -- x y DATA(0, 0, -2) - -- x y DATA(0, -1, -2) + 54 72 + + 14 2 35 2 + + -- x y DATA(0, -2, 1) - -- x y DATA(0, 1, -2) + 27 54 + + 2 2 + - 35/9 x y DATA(0, -1, 1) + 35/9 x y DATA(0, -1, -1) + + 140 2 2 + - --- x y DATA(0, 1, 1) + 14/9 x y DATA(0, 2, 1) + 27 + + 140 2 196 2 + + --- x y DATA(0, 1, -1) - --- x y DATA(0, 0, -1) + 27 27 + + 2 2 + - 14/9 x y DATA(0, 2, -1) + 5/36 x y DATA(2, 1, 2) + + 14 3 2 2 2 + - -- y x DATA(1, 0, 2) - 7/3 x y z DATA(0, -2, 0) + 27 + + 25 2 2 2 2 + - -- x y z DATA(1, 1, 3) + 5/48 x y z DATA(-1, -2, 3) + 18 + + 25 2 2 25 2 2 + - -- x y z DATA(-1, 1, 3) - -- x y z DATA(-1, -1, 3) + 24 32 + + 2 2 35 2 2 2 + - 5/3 x y z DATA(-1, -2, 0) - -- x y z DATA(-1, -1, -2) + 64 + + 2 2 2 2 2 2 + + 4/3 x y z DATA(3, 1, 1) - 1/12 x y z DATA(3, -2, 1) + + 49 2 2 2 2 2 2 + - -- x y 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z DATA(0, 2, 1) + -- x z DATA(0, 2, -1) + 27 54 72 + + 2 2 + - 1/9 x z DATA(2, -1, -2) + 1/9 x z DATA(2, 1, -2) + + 2 2 + - 5/18 x z DATA(-1, 1, -2) - 1/54 x z DATA(3, 1, -2) + + 2 2 + + 1/54 x z DATA(3, -1, -2) - 1/216 x z DATA(-2, 2, -2) + + 2 10 2 + - 1/27 x z DATA(-2, -1, -2) - -- x z DATA(1, 1, -2) + 27 + + 2 2 + + 1/432 x z DATA(3, 2, -2) - 1/72 x z DATA(2, 2, -2) + + 2 2 + + 5/144 x z DATA(-1, 2, -2) - 5/216 x z DATA(3, 2, 1) + + 2 2 + - 5/27 x z DATA(3, -1, 1) + 1/144 x z DATA(3, 2, 2) + + 2 2 + + 5/108 x z DATA(1, 2, -2) - 1/3 x z DATA(2, -1, 2) + + 2 2 + - 5/144 x z DATA(-2, -2, -1) + 1/9 x z DATA(-2, 1, 2) + + 2 2 + + 5/48 x z DATA(-1, 2, 2) + 5/48 x z DATA(2, 2, -1) + + 2 25 2 25 2 + - 10/9 x z DATA(1, 1, 2) - -- x z DATA(1, 2, 1) - -- x z DATA(1, 2, -1) + 54 72 + + 2 2 + - 5/6 x z DATA(-1, 1, 2) + 1/3 x z DATA(2, 1, 2) + + 2 2 + + 10/9 x z DATA(1, -1, 2) - 1/24 x z DATA(2, 2, 2) + + 25 2 2 + - -- x z DATA(-1, -1, -1) + 25/9 x z DATA(-1, 1, 1) + 12 + + 2 2 + - 5/108 x z DATA(1, -2, -2) + 5/6 x z DATA(-1, -1, 2) + + 2 2 + + 10/9 x z DATA(2, -1, 1) + 5/6 x z DATA(2, -1, -1) + + 2 2 + + 5/36 x z DATA(2, 2, 1) - 25/9 x z DATA(-1, -1, 1) + + 2 2 + + 14/9 x z DATA(0, 1, 2) - 7/36 x z DATA(0, 2, 2) + + 2 2 + - 35/9 x z DATA(0, 1, -1) - 14/9 x z DATA(0, -1, 2) + + 140 2 2 + - --- x z DATA(0, 1, 1) + 35/9 x z DATA(0, -1, -1) + 27 + + 25 2 3 + + -- x z DATA(1, -2, -1) - 1/144 z x DATA(-2, -2, 2) + 72 + + 3 35 3 + - 7/144 z x DATA(2, -2, 2) + --- z x DATA(2, -2, -1) + 288 + + 3 3 + + 1/9 z x DATA(1, -2, 2) - 5/18 z x DATA(1, -2, -1) + + 3 35 3 + + 7/144 z x DATA(-1, -2, 2) - --- z x DATA(-1, -2, -1) + 288 + + 3 3 + + 1/144 z x DATA(-2, 2, 2) - 5/288 z x DATA(-2, 2, -1) + + 3 3 + + 1/18 z x DATA(-2, -1, 2) - 5/36 z x DATA(-2, -1, -1) + + 3 3 + + 5/216 z x DATA(3, 2, 1) + 5/27 z x DATA(3, -1, 1) + + 3 3 + - 1/144 z x DATA(3, 2, 2) + 5/288 z x DATA(3, 2, -1) + + 3 3 + + 1/18 z x DATA(3, 1, 2) - 5/36 z x DATA(3, 1, -1) + + 3 3 + + 5/36 z x DATA(3, -1, -1) + 1/144 z 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DATA(-1, 1, 2) - 7/18 z x DATA(2, 1, 2) + + 3 3 + - 8/9 z x DATA(1, -1, 2) + 7/144 z x DATA(2, 2, 2) + + 3 3 + - 7/144 z x DATA(-1, 2, 2) + 7/18 z x DATA(2, -1, 2) + + 3 10 3 + + 5/288 z x DATA(-2, -2, -1) + -- z x DATA(1, 2, 1) + 27 + + 3 35 3 + + 5/18 z x DATA(1, 2, -1) - -- z x DATA(-1, 1, -1) + 36 + + 35 3 35 3 + + -- z x DATA(-1, -1, 1) + -- z x DATA(-1, -1, -1) + 27 36 + + 35 3 3 + - -- z x DATA(-1, 1, 1) + 1/27 z x DATA(1, -2, -2) + 27 + + 3 35 3 + - 7/18 z x DATA(-1, -1, 2) - -- z x DATA(2, -1, 1) + 27 + + 35 3 35 3 + - -- z x DATA(2, -1, -1) - --- z x DATA(2, 2, 1) + 36 216 + + 35 3 3 + - --- z x DATA(2, 2, -1) + 8/9 z x DATA(1, 1, 2) + 288 + + 3 80 3 + - 20/9 z x DATA(1, 1, -1) + -- z x DATA(1, -1, 1) + 27 + + 3 + + 20/9 z x DATA(1, -1, -1) + 1/18 x z DATA(-2, -1, 2) + + - 1/144 x z DATA(-2, -2, 2) + 1/144 x z DATA(2, -2, 2) + + - 5/288 x z DATA(2, -2, -1) - 1/18 x z DATA(1, -2, 2) + + + 5/36 x z DATA(1, -2, -1) - 5/36 x z DATA(-2, -1, -1) + + + 1/18 x z DATA(1, 2, 2) + 1/18 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2) - -- z y x DATA(-1, 2, -1) + 48 + + 245 2 3 2 3 + - --- z y x DATA(2, 1, -1) - 70/9 z y x DATA(2, 1, 1) + 72 + + 343 2 3 2 3 + + --- z y x DATA(2, 0, -1) + 98/9 z y x DATA(2, 0, 1) + 72 + + 2 3 + - 7/3 z y x DATA(-1, 2, 1) - 5/18 z DATA(0, 2, 1) + 5/3 z DATA(0, 1, -1) + + 35 3 3 + + --- z y x DATA(2, 3, 1) - 5/108 z y x DATA(3, 3, 1) + 108 + + 2 2 + - 7/48 z DATA(0, -2, -1) + 1/24 y z DATA(0, 3, -2) + + 2 2 + - 1/4 y z DATA(0, 2, -2) - 7/6 y z DATA(0, 0, -2) + + 2 2 + - 35/6 y z DATA(0, 1, -1) + 49/6 y z DATA(0, 0, -1) + + 2 2 + + 4 y z DATA(0, 2, 1) + 7/4 y z DATA(0, 2, -1) + 2/3 z DATA(0, -1, 2) + + 2 2 + + 4/3 y z DATA(0, -2, 1) + 1/4 y z DATA(0, 2, 3) + 2/9 z DATA(0, -1, -2) + + 2 + + 5/24 z DATA(0, -2, -1) - 10 y z DATA(0, -1, 1) + + 2 2 + - 1/12 y z DATA(0, -2, -2) - 7/4 y z DATA(0, 2, 2) + + 25 3 35 3 + - -- z y x DATA(3, -1, 1) + -- z y x DATA(3, 0, 1) + 36 27 + + 3 + - 1/12 z DATA(0, -2, 2) + 5/18 z y x DATA(3, 2, 1) + + 2 3 + + 2/3 y z DATA(0, 3, 0) - 5/18 z y x DATA(-2, 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+ + 1/48 y - 7/144 x z + 7/108 x z + 1/36 y x - 7/144 x y + + 2 3 2 + + 7/108 x y - 1/27 y x - 1/12 y z + 1/144, COEFF(1, -2, -2) = + + 2 2 2 3 2 3 2 2 + - 5/36 x y z + 5/27 x y z - 4/27 z y x + 1/9 z y x + 1/24 x y z + + 2 3 2 2 2 3 3 2 2 2 + + 1/9 z y x - 1/18 x y z - 1/12 z y x + 1/27 z x + 5/48 x y z + + 2 2 2 3 2 3 + - 5/36 x y z + 1/216 x - 1/54 x z - 1/36 z x + 1/72 x y - 1/108 x + + 2 2 2 2 2 3 + + 5/432 x + 5/144 x z - 5/108 x z - 1/36 y x + 2/27 x y z + + 2 2 2 2 3 + - 1/18 x y z + 5/144 x y - 1/54 x y - 5/108 x y + 1/27 y x + + 2 2 2 2 3 + + 1/72 x z , COEFF(2, -2, -2) = 1/24 x y z - 1/18 x y z + 7/108 z y x + + 2 3 2 2 2 3 2 + - 7/144 z y x - 1/192 x y z - 7/144 z y x + 1/144 x y z + + 2 2 3 3 2 2 2 2 2 + + 7/192 z y x - 7/432 z x - 1/32 x y z + 1/24 x y z - 1/1728 x + + 2 3 2 3 2 2 2 + + 1/432 x z + 7/576 z x - 1/576 x y + 7/1728 x - 1/288 x - 1/96 x z + + 2 2 3 2 2 2 + + 1/72 x z + 7/576 y x - 1/108 x y z + 1/144 x y z - 1/96 x y + + 2 3 2 + + 1/432 x y + 1/72 x y - 7/432 y x - 1/576 x z , COEFF(3, -2, -2) = + + 2 2 2 2 3 2 3 3 + 1/192 x y z + 1/144 z y x - 1/432 x z - 1/108 z y x + 1/432 z x + + 3 2 3 2 2 2 2 2 + + 1/432 y x - 1/576 z x - 1/144 x y z - 1/144 x y z + 1/1728 x + + 2 2 3 2 3 2 2 2 3 + - 1/192 z y x + 1/108 x y z - 1/1728 x + 1/576 x z + 1/144 z y x + + 2 3 2 2 2 + - 1/576 y x + 1/576 x y - 1/432 x y, COEFF(-2, -1, -2) = + + 2 2 2 3 2 3 2 2 + - 5/48 x y z + 5/36 x y z - 5/72 z y x + 7/144 z y x - 7/192 x y z + + 2 3 2 2 2 3 3 2 2 2 + + 5/96 z y x + 7/144 x y z - 7/192 z y x + 1/54 z x + 7/96 x y z + + 2 2 2 3 2 3 + - 7/72 x y z - 1/216 x + 1/54 x z - 1/72 z x - 7/576 x y - 1/216 x + + 2 2 2 2 2 3 + + 1/108 x + 1/36 x z - 1/27 x z - 7/576 y x - 5/72 x y z + + 2 2 2 2 3 + + 5/96 x y z + 7/288 x y + 5/288 x y - 5/144 x y + 5/288 y x + + 2 25 2 2 25 2 35 3 + - 1/72 x z , COEFF(-1, -1, -2) = -- x y z - -- x y z + -- z y x + 32 24 72 + + 49 2 3 2 2 35 2 3 2 49 2 2 3 + - --- z y x + 7/24 x y z - -- z y x - 7/18 x y z + --- z y x + 144 96 192 + + 3 35 2 2 2 35 2 2 2 3 + - 7/54 z x - -- x y z + -- x y z + 1/27 x - 4/27 x z + 7/72 z x + 64 48 + + 2 3 2 2 2 2 49 2 3 + + 7/72 x y + 7/216 x - 5/72 x - 5/24 x z + 5/18 x z + --- y x + 576 + + 2 35 2 2 25 2 35 3 + + 5/9 x y z - 5/12 x y z - --- x y - 5/36 x y + -- x y - --- y x + 192 96 288 + + 2 35 2 2 35 2 3 + + 1/9 x z , COEFF(0, -1, -2) = - -- x y z + -- x y z - 10/9 z y x + 24 18 + + 2 3 2 3 2 2 3 3 2 2 + + 7/9 z y x + 5/6 z y x - 7/12 z y x + 8/27 z x - 7/16 y z + + 49 2 2 2 49 2 2 2 2 + + -- x y z - -- x y z + 7/12 y z - 5/6 y z + 5/24 y + 2/9 z - 1/6 z + 48 36 + + 2 3 3 2 2 2 2 14 2 + - 2/9 z x - 2/27 x + 7/54 x - 7/48 y + 7/18 x z - -- x z + 27 + + 2 3 49 2 2 35 2 3 2 + - 7/36 y x + --- x y - -- x y + 5/18 y x + 5/8 y z - 1/18, + 144 72 + + 25 2 2 25 2 3 2 3 + COEFF(1, -1, -2) = -- x y z - -- x y z + 10/9 z y x - 7/9 z y x + 24 18 + + 2 2 2 3 2 2 2 3 3 + - 7/24 x y z - 5/6 z y x + 7/18 x y z + 7/12 z y x - 8/27 z x + + 35 2 2 2 35 2 2 2 3 2 + - -- x y z + -- x y z - 1/27 x + 4/27 x z + 2/9 z x - 7/72 x y + 48 36 + + 3 2 2 2 10 2 2 3 + + 2/27 x - 5/54 x - 5/18 x z + -- x z + 7/36 y x - 5/9 x y z + 27 + + 2 35 2 2 25 2 3 2 + + 5/12 x y z - --- x y + 5/36 x y + -- x y - 5/18 y x - 1/9 x z , + 144 72 + + 2 2 2 35 3 49 2 3 + COEFF(2, -1, -2) = - 5/16 x y z + 5/12 x y z - -- z y x + --- z y x + 72 144 + + 2 2 35 2 3 2 49 2 2 3 3 + + 7/192 x y z + -- z y x - 7/144 x y z - --- z y x + 7/54 z x + 96 192 + + 2 2 2 2 2 2 3 + + 7/32 x y z - 7/24 x y z + 1/216 x - 1/54 x z - 7/72 z x + + 2 3 2 2 2 2 49 2 3 + + 7/576 x y - 7/216 x + 1/36 x + 1/12 x z - 1/9 x z - --- y x + 576 + + 2 2 2 2 35 3 + + 5/72 x y z - 5/96 x y z + 7/96 x y - 5/288 x y - 5/48 x y + --- y x + 288 + + 2 2 2 2 2 + + 1/72 x z , COEFF(3, -1, -2) = - 7/576 x y + 7/144 x y z + + 3 3 2 2 2 2 3 + + 5/72 z y x + 1/216 x + 5/96 x y z - 5/72 x y z - 5/96 z y x + + 2 2 2 2 3 2 3 + - 1/216 x + 1/54 x z - 1/72 x z - 5/288 y x + 1/72 z x + + 2 3 3 2 2 2 2 2 2 3 + + 7/576 y x - 1/54 z x + 5/288 x y - 7/192 x y z + 7/192 z y x + + 2 3 3 2 2 2 + - 7/144 z y x , COEFF(-2, 0, -2) = 7/54 z y x - 1/18 x y - 7/27 x y z + + 2 2 3 2 3 2 2 2 2 2 2 3 + + 1/12 z y x - 1/9 z y x - 1/6 x y z + 7/36 x y z - 7/72 z y x + + 3 2 3 2 2 + - 7/216 y x + 7/54 x y z + 1/36 y x - 1/9 x y z + 1/36 x y + + 2 2 2 2 2 2 + + 1/12 x y z - 7/216 x y + 2/9 x y z - 7/72 x y z + 7/108 x y, + + 2 3 35 2 2 2 49 2 3 + COEFF(-1, 0, -2) = 7/9 z y x - -- x y + 5/12 x y + -- z y x + 72 72 + + 2 2 2 2 2 2 49 3 2 2 + + 5/4 x y z - 2/3 x y z - 2/9 x y - -- z y x - 5/3 x y z + 54 + + 2 28 35 2 2 35 2 2 + + 7/9 x y z - -- x y z + 7/27 x y - -- x y z + -- x y z + 8/9 x y z + 27 24 18 + + 49 3 2 3 2 2 3 2 2 3 + + --- y x - 7/36 y x - 7/12 z y x , COEFF(0, 0, -2) = 4/3 z y x + 216 + + 2 2 3 2 3 2 + + 14/9 y z - 7/18 y - 4/3 y z - 14/9 z y x - 16/9 z y x - 7/6 y z + + 2 49 2 2 2 2 2 56 3 2 2 + + 1/3 y + -- x y - 7/9 x y + y z + -- z y x + 28/9 x y z + 54 27 + + 14 3 2 2 2 2 3 49 2 2 98 2 + - -- y x - 7/3 x y z + 4/9 y x + -- x y z - -- x y z, + 27 18 27 + + 2 2 3 2 3 2 2 2 2 + COEFF(1, 0, -2) = - 4/3 z y x - 4/9 y x + 5/9 x y + 2/3 x y z + + 35 2 2 2 2 14 3 2 28 + - -- x y z - 20/9 x y z + -- y x - 8/9 x y z + -- x y z + 18 27 27 + + 2 3 2 3 35 2 2 2 2 2 + + 16/9 z y x + 14/9 z y x - -- x y + 2/9 x y + 5/3 x y z + 54 + + 56 3 2 70 2 + - -- z y x - 7/27 x y - 7/9 x y z + -- x y z, COEFF(2, 0, -2) = + 27 27 + + 2 2 2 2 2 2 2 3 2 3 + - 1/36 x y - 1/12 x y z - 1/2 x y z + 7/36 y x - 7/9 z y x + + 49 3 2 49 2 3 2 + + -- z y x - 7/54 x y z + 1/9 x y z - -- z y x - 7/9 x y z + 54 72 + + 2 2 2 2 2 2 + + 2/3 x y z + 7/216 x y + 7/36 x y + 7/12 x y z + 7/72 x y z + + 2 2 3 2 2 49 3 2 2 + + 7/12 z y x - 1/6 x y - --- y x , COEFF(3, 0, -2) = 1/36 x y + 216 + + 2 2 2 2 2 2 2 3 2 + - 7/72 x y z + 1/12 x y z - 7/216 x y + 1/9 z y x + 7/54 x y z + + 2 2 3 3 2 3 3 2 2 + - 1/12 z y x + 7/216 y x - 1/36 y x - 7/54 z y x - 1/9 x y z + + 2 3 2 2 2 + + 7/72 z y x , COEFF(-2, 1, -2) = - 5/36 x y z + 5/27 x y z + + 3 2 3 2 2 2 3 2 + - 5/54 z y x + 1/9 z y x - 1/12 x y z + 5/72 z y x + 1/9 x y z + + 2 2 3 3 2 2 2 2 2 + - 1/12 z y x - 1/54 z x + 1/6 x y z - 2/9 x y z + 1/216 x + + 2 3 2 3 2 2 2 + - 1/54 x z + 1/72 z x - 1/36 x y + 1/216 x - 1/108 x - 1/36 x z + + 2 2 3 2 2 2 + + 1/27 x z - 1/36 y x - 5/54 x y z + 5/72 x y z + 1/18 x y + + 2 3 2 + + 5/216 x y - 5/108 x y + 5/216 y x + 1/72 x z , COEFF(-1, 1, -2) = + + 25 2 2 25 2 35 3 2 3 2 2 35 2 3 + -- x y z - -- x y z + -- z y x - 7/9 z y x + 2/3 x y z - -- z y x + 24 18 54 72 + + 2 2 2 3 3 2 2 2 2 2 + - 8/9 x y z + 7/12 z y x + 7/54 z x - 5/4 x y z + 5/3 x y z + + 2 3 2 3 2 + - 1/27 x + 4/27 x z - 7/72 z x + 2/9 x y - 7/216 x + 5/72 x + + 2 2 2 2 3 20 2 2 2 + + 5/24 x z - 5/18 x z + 7/36 y x + -- x y z - 5/9 x y z - 5/12 x y + 27 + + 25 2 35 3 2 35 2 2 + - 5/27 x y + -- x y - --- y x - 1/9 x z , COEFF(0, 1, -2) = - -- x y z + 72 216 18 + + 70 2 40 3 2 3 2 3 2 2 3 + + -- x y z - -- z y x + 16/9 z y x + 10/9 z y x - 4/3 z y x + 27 27 + + 3 2 2 2 2 2 2 2 2 + - 8/27 z x - y z + 7/3 x y z - 28/9 x y z + 4/3 y z - 10/9 y z + + 2 2 3 3 2 2 + + 5/18 y - 2/9 z + 1/6 z + 2/9 z x + 2/27 x - 7/54 x - 1/3 y + + 2 2 14 2 2 3 2 2 35 2 10 3 + - 7/18 x z + -- x z - 4/9 y x + 7/9 x y - -- x y + -- y x + 27 54 27 + + 2 25 2 2 50 2 40 3 + + 5/6 y z + 1/18, COEFF(1, 1, -2) = -- x y z - -- x y z + -- z y x + 18 27 27 + + 2 3 2 2 2 3 2 2 2 3 + - 16/9 z y x - 2/3 x y z - 10/9 z y x + 8/9 x y z + 4/3 z y x + + 3 2 2 2 2 2 2 3 + + 8/27 z x - 5/3 x y z + 20/9 x y z + 1/27 x - 4/27 x z - 2/9 z x + + 2 3 2 2 2 10 2 2 3 + - 2/9 x y - 2/27 x + 5/54 x + 5/18 x z - -- x z + 4/9 y x + 27 + + 20 2 2 2 25 2 10 3 + - -- x y z + 5/9 x y z - 5/9 x y + 5/27 x y + -- x y - -- y x + 27 54 27 + + 2 2 2 2 35 3 + + 1/9 x z , COEFF(2, 1, -2) = - 5/12 x y z + 5/9 x y z - -- z y x + 54 + + 2 3 2 2 35 2 3 2 2 2 3 + + 7/9 z y x + 1/12 x y z + -- z y x - 1/9 x y z - 7/12 z y x + 72 + + 3 2 2 2 2 2 2 3 + - 7/54 z x + 1/2 x y z - 2/3 x y z - 1/216 x + 1/54 x z + 7/72 z x + + 2 3 2 2 2 2 2 3 + + 1/36 x y + 7/216 x - 1/36 x - 1/12 x z + 1/9 x z - 7/36 y x + + 2 2 2 2 35 3 + + 5/54 x y z - 5/72 x y z + 1/6 x y - 5/216 x y - 5/36 x y + --- y x + 216 + + 2 3 2 2 2 + - 1/72 x z , COEFF(3, 1, -2) = 1/54 z x + 5/216 x y + 1/9 x y z + + 3 2 2 2 3 2 2 2 + - 1/216 x - 5/54 x y z + 1/12 z y x + 1/72 x z + 1/216 x + + 3 2 3 2 2 2 2 2 2 + + 5/54 z y x - 1/9 z y x - 1/54 x z + 5/72 x y z - 1/12 x y z + + 2 2 2 3 3 2 3 2 3 + - 1/36 x y + 1/36 y x - 5/216 y x - 1/72 z x - 5/72 z y x , + + 2 2 2 3 2 3 + COEFF(-2, 2, -2) = 1/24 x y z - 1/18 x y z + 1/36 z y x - 7/144 z y x + + 2 2 2 3 2 2 2 3 + + 7/192 x y z - 1/48 z y x - 7/144 x y z + 7/192 z y x + + 3 2 2 2 2 2 + + 1/432 z x - 7/96 x y z + 7/72 x y z - 1/1728 x + 1/432 x z + + 2 3 2 3 2 2 2 + - 1/576 z x + 7/576 x y - 1/1728 x + 1/864 x + 1/288 x z + + 2 2 3 2 2 2 + - 1/216 x z + 7/576 y x + 1/36 x y z - 1/48 x y z - 7/288 x y + + 2 3 2 + - 1/144 x y + 1/72 x y - 1/144 y x - 1/576 x z , COEFF(-1, 2, -2) = + + 2 2 2 3 49 2 3 2 2 + - 5/16 x y z + 5/12 x y z - 7/36 z y x + --- z y x - 7/24 x y z + 144 + + 2 3 2 49 2 2 3 3 35 2 2 2 + + 7/48 z y x + 7/18 x y z - --- z y x - 7/432 z x + -- x y z + 192 64 + + 35 2 2 2 3 2 3 + - -- x y z + 1/216 x - 1/54 x z + 7/576 z x - 7/72 x y + 7/1728 x + 48 + + 2 2 2 2 49 2 3 2 + - 5/576 x - 5/192 x z + 5/144 x z - --- y x - 2/9 x y z + 1/6 x y z + 576 + + 35 2 2 2 3 2 + + --- x y + 1/18 x y - 5/48 x y + 7/144 y x + 1/72 x z , + 192 + + 2 2 2 3 2 3 + COEFF(0, 2, -2) = 7/12 x y z - 7/9 x y z + 4/9 z y x - 7/9 z y x + + 2 3 2 2 3 3 2 2 49 2 2 2 + - 1/3 z y x + 7/12 z y x + 1/27 z x + 7/16 y z - -- x y z + 48 + + 49 2 2 2 2 + + -- x y z - 7/12 y z + 1/3 y z - 1/12 y + 1/36 z - 1/48 z + 36 + + 2 3 3 2 2 2 2 2 + - 1/36 z x - 1/108 x + 7/432 x + 7/48 y + 7/144 x z - 7/108 x z + + 2 3 49 2 2 2 3 2 + + 7/36 y x - --- x y + 7/36 x y - 1/9 y x - 1/4 y z - 1/144, + 144 + + 2 2 2 3 2 3 + COEFF(1, 2, -2) = - 5/12 x y z + 5/9 x y z - 4/9 z y x + 7/9 z y x + + 2 2 2 3 2 2 2 3 3 + + 7/24 x y z + 1/3 z y x - 7/18 x y z - 7/12 z y x - 1/27 z x + + 35 2 2 2 35 2 2 2 3 2 + + -- x y z - -- x y z - 1/216 x + 1/54 x z + 1/36 z x + 7/72 x y + 48 36 + + 3 2 2 2 2 2 3 + + 1/108 x - 5/432 x - 5/144 x z + 5/108 x z - 7/36 y x + 2/9 x y z + + 2 35 2 2 2 3 2 + - 1/6 x y z + --- x y - 1/18 x y - 5/36 x y + 1/9 y x - 1/72 x z , + 144 + + 2 2 2 3 49 2 3 + COEFF(2, 2, -2) = 1/8 x y z - 1/6 x y z + 7/36 z y x - --- z y x + 144 + + 2 2 2 3 2 49 2 2 3 3 + - 7/192 x y z - 7/48 z y x + 7/144 x y z + --- z y x + 7/432 z x + 192 + + 2 2 2 2 2 2 3 + - 7/32 x y z + 7/24 x y z + 1/1728 x - 1/432 x z - 7/576 z x + + 2 3 2 2 2 2 49 2 3 + - 7/576 x y - 7/1728 x + 1/288 x + 1/96 x z - 1/72 x z + --- y x + 576 + + 2 2 2 2 + - 1/36 x y z + 1/48 x y z - 7/96 x y + 1/144 x y + 1/24 x y + + 3 2 2 3 2 + - 7/144 y x + 1/576 x z , COEFF(3, 2, -2) = 1/576 z x - 1/1728 x + + 2 2 3 2 2 2 2 2 2 2 + - 7/192 z y x + 7/192 x y z - 1/576 x z - 7/144 x y z + + 2 3 3 3 2 2 2 + + 1/48 z y x - 1/36 z y x + 1/144 y x - 1/48 x y z + 1/36 x y z + + 2 3 2 2 2 2 3 + + 7/144 z y x - 1/144 x y + 7/576 x y + 1/432 x z + 1/1728 x + + 3 2 3 3 3 + - 1/432 z x - 7/576 y x , COEFF(-2, 3, -2) = - 1/216 z y x + 1/864 y x + + 2 2 2 2 2 2 + - 1/432 x y + 1/864 x y + 1/288 x y z - 1/576 x y + 1/96 x y z + + 2 2 2 3 2 2 2 3 + - 1/72 x y z - 1/576 y x + 1/288 x y - 1/216 x y z + 1/288 z y x + + 2 2 2 3 2 2 3 2 + - 1/192 x y z + 1/144 z y x - 1/192 z y x + 1/108 x y z + + 2 2 2 2 + + 1/144 x y z - 1/144 x y z , COEFF(-1, 3, -2) = - 5/72 x y z + + 2 3 2 2 2 2 2 2 2 + - 7/144 z y x - 5/192 x y + 5/288 x y - 1/18 x y z - 5/64 x y z + + 2 3 3 2 2 2 2 2 + - 7/288 z y x - 7/864 y x + 5/48 x y z + 5/96 x y z - 1/36 x y z + + 3 2 3 2 2 + + 1/27 x y z + 7/216 z y x - 1/108 x y + 7/576 y x + 1/24 x y z + + 2 2 3 2 2 2 2 2 3 + + 7/192 z y x + 1/72 x y , COEFF(0, 3, -2) = 7/48 x y z - 1/36 y x + + 2 3 2 2 2 + + 1/24 y z - 1/18 y z - 2/27 z y x + 7/54 x y z - 7/36 x y z + + 2 2 3 2 2 2 3 + - 7/72 x y z + 1/54 y x + 1/12 y z - 7/216 x y + 1/9 z y x + + 2 2 2 2 3 2 2 2 + + 7/144 x y - 1/12 z y x + 1/72 y - 1/16 y z - 1/48 y + + 2 3 3 2 2 + + 1/18 z y x , COEFF(1, 3, -2) = - 1/54 y x - 1/24 x y z + + 2 3 2 2 2 2 2 2 2 3 + - 1/18 z y x + 1/36 x y z - 5/54 x y z - 5/48 x y z + 1/12 z y x + + 2 3 3 2 2 + + 1/36 y x + 2/27 z y x + 1/108 x y - 5/144 x y - 1/27 x y z + + 2 3 2 2 2 2 2 2 + - 1/9 z y x + 1/18 x y z + 5/72 x y z + 5/216 x y + 5/36 x y z + + 2 2 3 2 + - 1/72 x y , COEFF(2, 3, -2) = - 7/576 y x - 1/288 x y z - 1/864 x y + + 2 2 2 2 2 2 2 3 + - 1/24 x y z + 1/36 x y z - 1/144 x y z - 1/48 x y z + 7/288 z y x + + 2 2 2 2 3 + + 1/576 x y + 1/216 x y z - 1/144 x y + 1/96 x y + 7/864 y x + + 2 3 2 2 3 3 2 2 2 + + 7/144 z y x - 7/192 z y x - 7/216 z y x + 1/32 x y z + + 2 2 2 2 3 2 3 + + 1/192 x y z , COEFF(3, 3, -2) = 1/192 z y x + 1/576 y x + + 3 3 2 2 2 2 2 2 + - 1/864 y x + 1/216 z y x - 1/192 x y z + 1/864 x y - 1/576 x y + + 2 3 2 2 2 2 3 + - 1/144 z y x - 1/216 x y z + 1/288 x y z - 1/288 z y x + + 2 2 2 2 2 + + 1/144 x y z, COEFF(-2, -2, -1) = - 7/72 x y z + 5/36 x y z + + 3 2 3 2 2 2 3 2 + - 5/72 z y x + 5/96 z y x - 7/192 x y z + 7/144 z y x + 5/96 x y z + + 2 2 3 3 2 2 2 2 2 + - 7/192 z y x + 5/288 z x + 7/96 x y z - 5/48 x y z - 1/216 x + + 2 3 2 3 2 2 2 + + 5/288 x z - 7/576 z x - 1/72 x y - 1/216 x + 1/108 x + 7/288 x z + + 2 2 3 2 2 2 + - 5/144 x z - 1/72 y x - 5/72 x y z + 7/144 x y z + 1/36 x y + + 2 3 2 + + 1/54 x y - 1/27 x y + 1/54 y x - 7/576 x z , COEFF(-1, -2, -1) = + + 35 2 2 25 2 35 3 35 2 3 2 2 + -- x y z - -- x y z + -- z y x - -- z y x + 7/24 x y z + 48 24 72 96 + + 49 2 3 2 49 2 2 3 35 3 35 2 2 2 + - --- z y x - 5/12 x y z + --- z y x - --- z x - -- x y z + 144 192 288 64 + + 25 2 2 49 2 3 2 3 + + -- x y z + 1/27 x - 5/36 x z + --- z x + 1/9 x y + 7/216 x + 32 576 + + 2 35 2 2 25 2 2 3 2 + - 5/72 x - --- x z + -- x z + 7/72 y x + 5/9 x y z - 7/18 x y z + 192 96 + + 2 2 2 3 2 + - 5/24 x y - 4/27 x y + 5/18 x y - 7/54 y x + 7/72 x z , + + 49 2 2 35 2 3 2 3 + COEFF(0, -2, -1) = - -- x y z + -- x y z - 10/9 z y x + 5/6 z y x + 36 18 + + 2 3 2 2 3 3 2 2 49 2 2 2 + + 7/9 z y x - 7/12 z y x + 5/18 z x - 7/16 y z + -- x y z + 48 + + 35 2 2 2 2 2 3 + - -- x y z + 5/8 y z - 5/6 y z + 2/9 y + 5/24 z - 7/48 z - 7/36 z x + 24 + + 3 2 2 49 2 2 35 2 2 3 + - 2/27 x + 7/54 x - 1/6 y + --- x z - -- x z - 2/9 y x + 144 72 + + 2 2 14 2 3 2 + + 7/18 x y - -- x y + 8/27 y x + 7/12 y z - 1/18, COEFF(1, -2, -1) = + 27 + + 35 2 2 25 2 3 2 3 2 2 + -- x y z - -- x y z + 10/9 z y x - 5/6 z y x - 7/24 x y z + 36 18 + + 2 3 2 2 2 3 3 35 2 2 2 + - 7/9 z y x + 5/12 x y z + 7/12 z y x - 5/18 z x - -- x y z + 48 + + 25 2 2 2 3 2 3 + + -- x y z - 1/27 x + 5/36 x z + 7/36 z x - 1/9 x y + 2/27 x + 24 + + 2 35 2 2 25 2 2 3 2 + - 5/54 x - --- x z + -- x z + 2/9 y x - 5/9 x y z + 7/18 x y z + 144 72 + + 2 2 10 2 3 2 + - 5/18 x y + 4/27 x y + -- x y - 8/27 y x - 7/72 x z , + 27 + + 2 2 2 35 3 35 2 3 + COEFF(2, -2, -1) = - 7/24 x y z + 5/12 x y z - -- z y x + -- z y x + 72 96 + + 2 2 49 2 3 2 49 2 2 3 35 3 + + 7/192 x y z + --- z y x - 5/96 x y z - --- z y x + --- z x + 144 192 288 + + 2 2 2 2 2 49 2 3 + + 7/32 x y z - 5/16 x y z + 1/216 x - 5/288 x z - --- z x + 576 + + 2 3 2 2 2 2 2 3 + + 1/72 x y - 7/216 x + 1/36 x + 7/96 x z - 5/48 x z - 7/72 y x + + 2 2 2 2 3 + + 5/72 x y z - 7/144 x y z + 1/12 x y - 1/54 x y - 1/9 x y + 7/54 y x + + 2 2 3 2 3 + + 7/576 x z , COEFF(3, -2, -1) = - 1/216 x + 1/216 x + 1/72 y x + + 3 2 2 3 2 2 3 + - 5/288 z x + 5/288 x z + 7/576 z x + 5/96 x y z - 1/54 y x + + 2 2 2 3 3 2 2 3 + + 7/144 x y z - 5/96 z y x + 5/72 z y x - 5/72 x y z - 7/144 z y x + + 2 2 2 2 2 2 2 2 2 3 2 + - 7/192 x y z - 1/72 x y - 7/576 x z + 7/192 z y x + 1/54 x y, + + 35 2 2 25 2 25 3 35 2 3 + COEFF(-2, -1, -1) = -- x y z - -- x y z + -- z y x - -- z y x + 48 24 48 96 + + 49 2 2 35 2 3 35 2 49 2 2 3 3 + + --- x y z - -- z y x - -- x y z + --- z y x - 5/36 z x + 192 96 96 192 + + 49 2 2 2 35 2 2 2 3 2 + - -- x y z + -- x y z + 1/27 x - 5/36 x z + 7/72 z x + 7/72 x y + 96 48 + + 3 2 2 2 2 2 3 25 + + 1/27 x - 2/27 x - 7/36 x z + 5/18 x z + 7/72 y x + -- x y z + 48 + + 35 2 2 2 2 3 2 + - -- x y z - 7/36 x y - 5/36 x y + 5/18 x y - 5/36 y x + 7/72 x z , + 96 + + 175 2 2 125 2 175 3 245 2 3 + COEFF(-1, -1, -1) = - --- x y z + --- x y z - --- z y x + --- z y x + 32 16 48 96 + + 49 2 2 245 2 3 35 2 343 2 2 3 35 3 + - -- x y z + --- z y x + -- x y z - --- z y x + -- z x + 24 96 12 192 36 + + 245 2 2 2 175 2 2 49 2 3 2 + + --- x y z - --- x y z - 8/27 x + 10/9 x z - -- z x - 7/9 x y + 64 32 72 + + 3 2 35 2 2 25 2 49 2 3 + - 7/27 x + 5/9 x + -- x z - -- x z - -- y x - 25/6 x y z + 24 12 72 + + 35 2 35 2 2 25 2 35 3 2 + + -- x y z + -- x y + 10/9 x y - -- x y + -- y x - 7/9 x z , + 12 24 12 36 + + 245 2 2 175 2 3 2 3 + COEFF(0, -1, -1) = --- x y z - --- x y z + 25/3 z y x - 35/6 z y x + 24 12 + + 2 3 49 2 2 3 3 49 2 2 343 2 2 2 + - 35/6 z y x + -- z y x - 20/9 z x + -- y z - --- x y z + 12 16 48 + + 245 2 2 2 2 2 3 + + --- x y z - 35/8 y z + 25/4 y z - 5/3 y - 5/3 z + 7/6 z + 14/9 z x + 24 + + 16 3 28 2 2 49 2 2 2 2 3 49 2 2 + + -- x - -- x + 7/6 y - -- x z + 35/9 x z + 14/9 y x - -- x y + 27 27 18 18 + + 2 3 2 + + 35/9 x y - 20/9 y x - 35/8 y z + 4/9, COEFF(1, -1, -1) = + + 175 2 2 125 2 3 2 3 49 2 2 + - --- x y z + --- x y z - 25/3 z y x + 35/6 z y x + -- x y z + 24 12 24 + + 2 3 35 2 49 2 2 3 3 245 2 2 2 + + 35/6 z y x - -- x y z - -- z y x + 20/9 z x + --- x y z + 12 12 48 + + 175 2 2 2 3 2 16 3 20 2 + - --- x y z + 8/27 x - 10/9 x z - 14/9 z x + 7/9 x y - -- x + -- x + 24 27 27 + + 35 2 2 2 2 3 35 2 35 2 2 + + -- x z - 25/9 x z - 14/9 y x + 25/6 x y z - -- x y z + -- x y + 18 12 18 + + 2 3 2 + - 10/9 x y - 25/9 x y + 20/9 y x + 7/9 x z , COEFF(2, -1, -1) = + + 35 2 2 2 175 3 245 2 3 49 2 2 + -- x y z - 25/8 x y z + --- z y x - --- z y x - --- x y z + 16 48 96 192 + + 245 2 3 35 2 343 2 2 3 35 3 49 2 2 2 + - --- z y x + -- x y z + --- z y x - -- z x - -- x y z + 96 96 192 36 32 + + 35 2 2 49 2 3 2 3 2 + + -- x y z - 1/27 x + 5/36 x z + -- z x - 7/72 x y + 7/27 x - 2/9 x + 16 72 + + 2 2 2 49 2 3 25 35 2 2 2 + - 7/12 x z + 5/6 x z + -- y x - -- x y z + -- x y z - 7/12 x y + 72 48 96 + + 2 35 3 2 3 + + 5/36 x y + 5/6 x y - -- y x - 7/72 x z , COEFF(3, -1, -1) = - 1/27 x + 36 + + 2 49 2 2 3 2 3 35 2 3 35 2 3 + - 5/36 x y - --- z y x - 7/72 z x + -- z y x + -- z y x + 192 96 96 + + 2 2 3 2 2 35 2 2 2 2 + + 7/72 x y + 5/36 y x + 7/72 x z - -- x y z - 5/36 x z + 1/27 x + 96 + + 35 2 2 25 3 2 3 49 2 2 2 25 2 + - -- x y z - -- z y x - 7/72 y x + --- x y z + -- x y z + 96 48 192 48 + + 3 2 3 3 49 2 + + 5/36 z x , COEFF(-2, 0, -1) = 5/6 z y x + 7/27 y x + -- x y z + 72 + + 2 2 3 35 2 2 35 2 2 + - 7/12 z y x - -- x y z + 4/9 x y + -- x y z - 2/9 x y + 36 18 + + 2 2 2 2 2 2 2 14 2 + + 7/6 x y z - 7/12 x y z + 7/27 x y - 5/3 x y z - -- x y + 27 + + 2 3 35 3 2 49 2 2 49 2 3 + - 2/9 y x - -- z y x + 5/6 x y z - -- x y z + -- z y x , + 36 36 72 + + 175 2 2 2 2 2 49 2 2 3 + COEFF(-1, 0, -1) = - --- x y z - 35/4 x y z + 35/9 x y + -- z y x + 12 12 + + 2 2 2 2 49 3 245 2 2 56 2 + - 10/3 x y + 14/3 x y z - -- y x + --- x y z - -- x y + 16/9 x y + 27 24 27 + + 2 2 2 343 2 3 245 3 2 3 + - 20/3 x y z + 25/2 x y z - --- z y x + --- z y x - 35/6 z y x + 72 36 + + 2 3 2 196 2 + + 14/9 y x - 49/9 x y z + 70/9 x y z, COEFF(0, 0, -1) = - --- x y + 27 + + 2 2 2 2 2 343 2 2 2 3 + - 8/3 y + 10 y z + 56/9 x y + 49/6 y z - --- x y z + 98/9 z y x + 18 + + 2 2 2 3 2 2 2 2 2 3 + - 7 y z + 40/3 z y x + 49/3 x y z - 28/3 z y x + 28/9 y + + 2 3 2 2 2 112 3 + - 35/3 y z - 32/9 y x - 70/3 x y z + 245/9 x y z + --- y x + 27 + + 3 2 2 2 + - 140/9 z y x , COEFF(1, 0, -1) = - 175/9 x y z - 14/3 x y z + + 2 2 56 2 3 2 + - 40/9 x y + -- x y - 98/9 z y x - 70/9 x y z + 49/9 x y z + 27 + + 2 2 2 3 112 3 2 3 3 + + 20/3 x y z + 28/3 z y x - --- y x + 32/9 y x + 140/9 z y x + 27 + + 140 2 2 2 2 2 2 2 2 3 + + --- x y - 16/9 x y - 35/3 x y z + 50/3 x y z - 40/3 z y x + 27 + + 245 2 2 343 2 3 2 2 2 + + --- x y z , COEFF(2, 0, -1) = --- z y x - 5 x y z + 35/6 x y z + 18 72 + + 2 2 2 2 49 2 2 49 3 2 2 + + 2/9 x y - 14/9 x y + 4/3 x y - -- x y z + -- y x + 7/12 x y z + 12 27 + + 2 3 2 49 2 2 3 245 3 + + 35/6 z y x - 5/6 x y z - -- x y z - 14/9 y x - --- z y x + 72 36 + + 35 49 2 2 3 2 2 2 + + -- x y z - 7/27 x y - -- z y x + 7/2 x y z , COEFF(3, 0, -1) = + 36 12 + + 35 2 2 2 49 2 2 2 2 2 2 3 + - -- x y z + 5/6 x y z + -- x y z - 7/12 x y z + 2/9 y x + 36 72 + + 35 3 2 2 2 2 3 2 2 3 + + -- z y x - 2/9 x y + 7/27 x y - 5/6 z y x + 7/12 z y x + 36 + + 3 49 2 3 35 2 2 25 2 + - 7/27 y x - -- z y x , COEFF(-2, 1, -1) = -- x y z - -- x y z + 72 36 18 + + 25 3 2 3 2 2 35 2 3 2 + + -- z y x - 5/6 z y x + 7/12 x y z - -- z y x - 5/6 x y z + 36 72 + + 2 2 3 3 2 2 2 2 2 + + 7/12 z y x + 5/36 z x - 7/6 x y z + 5/3 x y z - 1/27 x + + 2 3 2 3 2 2 2 + + 5/36 x z - 7/72 z x + 2/9 x y - 1/27 x + 2/27 x + 7/36 x z + + 2 2 3 25 35 2 2 2 + - 5/18 x z + 2/9 y x + -- x y z - -- x y z - 4/9 x y - 5/27 x y + 36 72 + + 10 2 3 2 175 2 2 + + -- x y - 5/27 y x - 7/72 x z , COEFF(-1, 1, -1) = - --- x y z + 27 24 + + 125 2 175 3 2 3 2 2 245 2 3 + + --- x y z - --- z y x + 35/6 z y x - 14/3 x y z + --- z y x + 12 36 72 + + 2 49 2 2 3 35 3 2 2 2 2 2 + + 20/3 x y z - -- z y x - -- z x + 35/4 x y z - 25/2 x y z + 12 36 + + 49 2 3 2 3 2 35 2 2 + + 8/27 x - 10/9 x z + -- z x - 16/9 x y + 7/27 x - 5/9 x - -- x z + 72 24 + + 25 2 2 3 2 2 2 40 + + -- x z - 14/9 y x - 50/9 x y z + 35/9 x y z + 10/3 x y + -- x y + 12 27 + + 2 35 3 2 245 2 2 + - 25/9 x y + -- y x + 7/9 x z , COEFF(0, 1, -1) = --- x y z + 27 18 + + 2 3 2 3 2 3 + - 175/9 x y z + 100/9 z y x - 40/3 z y x - 70/9 z y x + + 2 2 3 3 2 2 2 2 2 2 2 + + 28/3 z y x + 20/9 z x + 7 y z - 49/3 x y z + 70/3 x y z + + 2 2 2 3 16 3 + - 10 y z + 25/3 y z - 20/9 y + 5/3 z - 7/6 z - 14/9 z x - -- x + 27 + + 28 2 2 49 2 2 2 2 3 2 2 + + -- x + 8/3 y + -- x z - 35/9 x z + 32/9 y x - 56/9 x y + 27 18 + + 140 2 80 3 2 175 2 2 + + --- x y - -- y x - 35/6 y z - 4/9, COEFF(1, 1, -1) = - --- x y z + 27 27 18 + + 2 3 2 3 2 2 2 3 + + 125/9 x y z - 100/9 z y x + 40/3 z y x + 14/3 x y z + 70/9 z y x + + 2 2 2 3 3 2 2 2 2 2 + - 20/3 x y z - 28/3 z y x - 20/9 z x + 35/3 x y z - 50/3 x y z + + 2 3 2 16 3 20 2 35 2 2 + - 8/27 x + 10/9 x z + 14/9 z x + 16/9 x y + -- x - -- x - -- x z + 27 27 18 + + 2 2 3 2 2 2 40 + + 25/9 x z - 32/9 y x + 50/9 x y z - 35/9 x y z + 40/9 x y - -- x y + 27 + + 100 2 80 3 2 35 2 2 + - --- x y + -- y x - 7/9 x z , COEFF(2, 1, -1) = -- x y z + 27 27 12 + + 2 175 3 2 3 2 2 245 2 3 + - 25/6 x y z + --- z y x - 35/6 z y x - 7/12 x y z - --- z y x + 36 72 + + 2 49 2 2 3 35 3 2 2 2 2 2 + + 5/6 x y z + -- z y x + -- z x - 7/2 x y z + 5 x y z + 1/27 x + 12 36 + + 49 2 3 2 3 2 2 2 + - 5/36 x z - -- z x - 2/9 x y - 7/27 x + 2/9 x + 7/12 x z + 72 + + 2 2 3 25 35 2 2 2 + - 5/6 x z + 14/9 y x - -- x y z + -- x y z - 4/3 x y + 5/27 x y + 36 72 + + 2 35 3 2 3 2 2 + + 10/9 x y - -- y x + 7/72 x z , COEFF(3, 1, -1) = 1/27 x - 7/72 x z + 27 + + 2 2 2 2 3 2 2 2 3 35 2 2 + + 7/12 x y z + 7/72 z x - 5/27 x y - 7/12 z y x - -- x y z + 72 + + 3 35 2 3 2 2 2 2 3 2 3 + + 5/27 y x + -- z y x + 2/9 x y - 1/27 x - 2/9 y x + 5/6 z y x + 72 + + 2 3 2 2 25 2 25 3 + + 5/36 x z - 5/36 z x - 5/6 x y z + -- x y z - -- z y x , + 36 36 + + 2 2 2 3 35 2 3 + COEFF(-2, 2, -1) = - 7/24 x y z + 5/12 x y z - 5/24 z y x + -- z y x + 96 + + 49 2 2 2 3 35 2 49 2 2 3 3 + - --- x y z + 7/48 z y x + -- x y z - --- z y x - 5/288 z x + 192 96 192 + + 49 2 2 2 35 2 2 2 3 2 + + -- x y z - -- x y z + 1/216 x - 5/288 x z + 7/576 z x - 7/72 x y + 96 48 + + 3 2 2 2 2 2 3 + + 1/216 x - 1/108 x - 7/288 x z + 5/144 x z - 7/72 y x - 5/24 x y z + + 2 2 2 2 3 2 + + 7/48 x y z + 7/36 x y + 1/18 x y - 1/9 x y + 1/18 y x + 7/576 x z , + + 35 2 2 2 35 3 245 2 3 + COEFF(-1, 2, -1) = -- x y z - 25/8 x y z + -- z y x - --- z y x + 16 24 96 + + 49 2 2 49 2 3 35 2 343 2 2 3 35 3 + + -- x y z - -- z y x - -- x y z + --- z y x + --- z x + 24 48 12 192 288 + + 245 2 2 2 175 2 2 49 2 3 2 + - --- x y z + --- x y z - 1/27 x + 5/36 x z - --- z x + 7/9 x y + 64 32 576 + + 3 2 35 2 2 25 2 49 2 3 + - 7/216 x + 5/72 x + --- x z - -- x z + -- y x + 5/3 x y z + 192 96 72 + + 2 35 2 2 2 3 2 + - 7/6 x y z - -- x y - 4/9 x y + 5/6 x y - 7/18 y x - 7/72 x z , + 24 + + 49 2 2 2 3 2 3 + COEFF(0, 2, -1) = - -- x y z + 35/6 x y z - 10/3 z y x + 35/6 z y x + 12 + + 2 3 49 2 2 3 3 49 2 2 343 2 2 2 + + 7/3 z y x - -- z y x - 5/18 z x - -- y z + --- x y z + 12 16 48 + + 245 2 2 2 2 + - --- x y z + 35/8 y z - 5/2 y z + 2/3 y - 5/24 z + 7/48 z + 24 + + 2 3 3 2 2 49 2 2 35 2 + + 7/36 z x + 2/27 x - 7/54 x - 7/6 y - --- x z + -- x z + 144 72 + + 2 3 49 2 2 2 3 2 + - 14/9 y x + -- x y - 14/9 x y + 8/9 y x + 7/4 y z + 1/18, + 18 + + 35 2 2 2 3 2 3 + COEFF(1, 2, -1) = -- x y z - 25/6 x y z + 10/3 z y x - 35/6 z y x + 12 + + 49 2 2 2 3 35 2 49 2 2 3 3 + - -- x y z - 7/3 z y x + -- x y z + -- z y x + 5/18 z x + 24 12 12 + + 245 2 2 2 175 2 2 2 3 2 + - --- x y z + --- x y z + 1/27 x - 5/36 x z - 7/36 z x - 7/9 x y + 48 24 + + 3 2 35 2 2 25 2 2 3 + - 2/27 x + 5/54 x + --- x z - -- x z + 14/9 y x - 5/3 x y z + 144 72 + + 2 35 2 2 2 3 2 + + 7/6 x y z - -- x y + 4/9 x y + 10/9 x y - 8/9 y x + 7/72 x z , + 18 + + 2 2 2 35 3 245 2 3 + COEFF(2, 2, -1) = - 7/8 x y z + 5/4 x y z - -- z y x + --- z y x + 24 96 + + 49 2 2 49 2 3 35 2 343 2 2 3 35 3 + + --- x y z + -- z y x - -- x y z - --- z y x - --- z x + 192 48 96 192 288 + + 49 2 2 2 35 2 2 49 2 3 2 + + -- x y z - -- x y z - 1/216 x + 5/288 x z + --- z x + 7/72 x y + 32 16 576 + + 3 2 2 2 2 49 2 3 + + 7/216 x - 1/36 x - 7/96 x z + 5/48 x z - -- y x + 5/24 x y z + 72 + + 2 2 2 2 3 2 + - 7/48 x y z + 7/12 x y - 1/18 x y - 1/3 x y + 7/18 y x - 7/576 x z , + + 2 2 35 2 3 2 2 + COEFF(3, 2, -1) = - 7/72 x y - -- z y x + 1/18 x y + 1/216 x + 96 + + 49 2 2 3 2 2 3 49 2 2 2 3 + + --- z y x - 5/24 x y z - 7/576 z x - --- x y z + 5/24 z y x + 192 192 + + 35 2 2 2 2 3 3 2 + + -- x y z + 7/48 x y z + 5/288 z x - 1/216 x - 5/288 x z + 96 + + 2 2 2 3 3 2 3 + + 7/576 x z - 7/48 z y x - 1/18 y x + 7/72 y x , COEFF(-2, 3, -1) = + + 2 2 2 2 2 3 2 2 + - 1/108 x y + 1/54 x y - 1/36 x y + 7/192 z y x + 7/144 x y z + + 3 2 2 2 3 2 2 2 2 3 + - 1/108 y x + 5/48 x y z + 1/72 y x - 7/96 x y z - 5/96 z y x + + 2 3 2 3 2 2 2 + - 7/288 z y x + 1/72 x y + 5/144 z y x - 5/96 x y z + 7/192 x y z + + 2 2 2 + + 5/144 x y z - 7/288 x y z - 5/72 x y z, COEFF(-1, 3, -1) = 5/12 x y z + + 2 35 2 2 25 2 2 25 2 2 + - 1/9 x y - -- x y z - -- x y z + -- x y z + 2/27 x y - 5/36 x y + 96 32 48 + + 3 35 3 49 2 3 35 2 2 2 2 3 + + 7/108 y x - --- z y x + --- z y x + -- x y z - 7/72 y x + 144 288 64 + + 35 2 3 49 2 2 3 2 2 2 2 + + -- z y x - 5/18 x y z - --- z y x - 7/24 x y z + 5/24 x y + 96 192 + + 2 3 2 + + 7/36 x y z , COEFF(0, 3, -1) = - 4/27 y x - 5/8 y z - 1/9 y + + 2 2 49 2 2 2 2 2 2 3 2 + - 7/18 x y - -- x y z + 1/6 y + 7/12 z y x + 7/27 x y + 48 + + 35 2 2 3 2 2 49 2 2 3 + - -- x y z - 5/6 z y x + 7/16 y z + -- x y z + 5/9 z y x + 36 72 + + 2 2 3 35 2 2 2 3 + - 7/24 y z + 2/9 y x + 5/12 y z + -- x y z - 7/18 z y x , + 24 + + 35 2 2 2 2 3 3 2 + COEFF(1, 3, -1) = - -- x y z - 7/12 z y x + 4/27 y x + 1/9 x y + 72 + + 3 2 2 2 2 3 35 2 2 2 + - 5/9 z y x + 5/18 x y - 5/12 x y z - 2/9 y x + -- x y z + 48 + + 25 2 2 2 3 + + -- x y z - 5/27 x y - 2/27 x y + 5/18 x y z + 5/6 z y x + 36 + + 2 3 25 2 2 2 2 2 + + 7/18 z y x - -- x y z + 7/24 x y z - 7/36 x y z , COEFF(2, 3, -1) + 24 + + 35 3 49 2 3 2 2 2 3 2 2 + = --- z y x - --- z y x + 7/48 x y z + 7/72 y x - 7/192 x y z + 144 288 + + 2 2 2 2 2 2 2 2 + - 5/24 x y z - 1/12 x y - 7/32 x y z + 5/96 x y z + 7/288 x y z + + 49 2 2 3 2 3 2 + + --- z y x - 5/144 x y z + 1/18 x y - 7/108 y x - 1/72 x y + 192 + + 35 2 3 2 2 2 2 + - -- z y x + 5/16 x y z + 1/108 x y, COEFF(3, 3, -1) = - 5/96 x y z + 96 + + 2 2 2 2 3 2 3 + + 7/192 x y z + 5/144 x y z - 5/144 z y x + 7/288 z y x + + 2 2 3 2 2 2 2 3 2 3 + - 1/108 x y + 5/96 z y x - 7/288 x y z - 7/192 z y x - 1/72 y x + + 3 2 2 2 2 2 2 2 + + 1/108 y x + 1/72 x y , COEFF(-2, -2, 0) = 2/9 x y z - 1/6 x y z + + 2 2 3 2 2 3 + + 7/108 x z - 1/9 x y z - 7/216 z x + 1/36 x z - 7/72 z y x + + 2 3 2 3 2 2 3 2 2 2 2 + + 1/36 z x - 1/9 z y x + 1/12 z y x + 1/12 x y z + 7/36 x y z + + 2 2 2 3 2 + - 7/72 x y z - 1/18 x z + 7/54 z y x - 7/27 x y z + 7/54 x y z + + 2 2 2 2 2 2 + - 7/216 x z, COEFF(-1, -2, 0) = 5/4 x y z - 5/3 x y z + 8/9 x y z + + 2 3 35 2 2 2 3 35 2 2 2 + - 7/36 z x - -- x z - 7/12 z y x + -- x y z + 7/9 x y z - 2/9 x z + 72 18 + + 49 3 35 2 2 2 2 2 2 49 2 3 28 + + --- z x - -- x y z + 5/12 x z - 2/3 x y z + -- z y x - -- x y z + 216 24 72 27 + + 2 3 49 3 2 2 + + 7/27 x z + 7/9 z y x - -- z y x , COEFF(0, -2, 0) = 28/9 x y z + 54 + + 98 2 2 3 2 2 2 2 2 2 + - -- x y z + 4/9 z x + y z + 14/9 y z + 1/3 z - 7/6 y z - 7/9 x z + 27 + + 14 3 2 2 3 49 2 2 2 3 2 + - -- z x + 4/3 z y x + -- x y z - 7/18 z - 14/9 z y x - 4/3 y z + 27 18 + + 2 2 2 2 3 56 3 49 2 + - 7/3 x y z - 16/9 z y x + -- z y x + -- x z, COEFF(1, -2, 0) = + 27 54 + + 2 3 2 2 3 35 2 2 2 56 3 2 + - 4/9 z x - 4/3 z y x - -- x z + 5/9 x z - -- z y x - 8/9 x y z + 54 27 + + 35 2 2 2 2 70 2 2 28 + - -- x y z + 2/3 x y z + -- x y z + 2/9 x z + -- x y z + 18 27 27 + + 2 2 2 2 3 2 3 14 3 + + 5/3 x y z + 14/9 z y x - 7/27 x z + 16/9 z y x + -- z x + 27 + + 2 2 2 49 2 3 + - 20/9 x y z - 7/9 x y z, COEFF(2, -2, 0) = - -- z y x + 72 + + 2 2 3 2 2 2 2 2 2 + + 7/12 z y x - 7/9 x y z - 1/2 x y z + 7/12 x y z + 7/216 x z + + 2 2 2 49 3 49 3 2 + - 1/36 x z - 1/12 x y z - --- z x + -- z y x + 1/9 x y z + 216 54 + + 2 3 2 2 3 2 2 2 + - 7/9 z y x + 7/36 x z + 7/36 z x + 2/3 x y z + 7/72 x y z + + 2 2 2 2 3 + - 1/6 x z - 7/54 x y z, COEFF(3, -2, 0) = 7/54 x y z + 7/72 z y x + + 3 2 3 2 2 2 3 2 2 3 + - 7/54 z y x + 1/9 z y x - 7/72 x y z - 1/36 z x - 1/12 z y x + + 2 2 2 3 2 2 2 2 2 + - 7/216 x z + 1/36 x z + 7/216 z x + 1/12 x y z - 1/9 x y z , + + 3 2 3 49 2 2 + COEFF(-2, -1, 0) = 7/27 z x + 7/27 x z + 5/6 z y x - -- x y z + 36 + + 35 2 2 2 2 2 14 2 2 2 3 + - -- x y z + 7/6 x y z - 5/3 x y z - -- x z - 7/12 z y x + 36 27 + + 2 2 2 3 2 35 2 35 3 49 2 + + 4/9 x z - 2/9 z x - 2/9 x z + -- x y z - -- z y x + -- x y z + 18 36 72 + + 49 2 3 2 2 2 2 3 + + -- z y x - 7/12 x y z + 5/6 x y z , COEFF(-1, -1, 0) = 14/9 z x + 72 + + 2 2 245 3 2 56 2 3 49 3 + + 25/2 x y z + --- z y x + 35/9 x z - -- x z - 35/6 z y x - -- z x + 36 27 27 + + 2 2 343 2 3 175 2 2 2 2 + + 14/3 x y z - --- z y x + 70/9 x y z - --- x y z - 35/4 x y z + 72 12 + + 2 2 245 2 2 2 2 49 2 2 3 + - 10/3 x z + --- x y z + 16/9 x z - 20/3 x y z + -- z y x + 24 12 + + 2 2 2 2 3 + - 49/9 x y z, COEFF(0, -1, 0) = -7 y z + 49/6 y z - 140/9 z y x + + 196 2 2 2 3 2 3 2 3 + + 28/9 z - --- x z - 28/3 z y x + 98/9 z y x - 32/9 z x + 27 + + 2 2 2 112 3 2 2 2 + + 245/9 x y z - 70/3 x y z + --- z x - 8/3 z + 56/9 x z + 27 + + 343 2 2 2 2 3 2 2 2 + - --- x y z - 35/3 y z + 10 y z + 40/3 z y x + 49/3 x y z , + 18 + + 2 2 3 56 112 3 + COEFF(1, -1, 0) = - 175/9 x y z + 32/9 z x + -- x z - --- z x + 27 27 + + 2 3 2 2 2 2 2 2 2 2 + - 40/3 z y x - 14/3 x y z + 50/3 x y z + 20/3 x y z - 35/3 x y z + + 3 2 2 2 2 + + 140/9 z y x - 40/9 x z + 49/9 x y z - 16/9 x z - 70/9 x y z + + 2 3 245 2 2 2 2 3 140 2 + - 98/9 z y x + --- x y z + 28/3 z y x + --- x z, COEFF(2, -1, 0) + 18 27 + + 2 2 2 2 35 49 3 2 + = - 7/27 x z + 35/6 x y z + 7/2 x y z + -- x y z + -- z x + 2/9 x z + 36 27 + + 2 2 49 2 2 343 2 3 2 3 2 3 + - 5 x y z - -- x y z + --- z y x - 14/9 z x + 35/6 z y x + 12 72 + + 49 2 2 3 2 2 49 2 245 3 2 2 + - -- z y x + 7/12 x y z - -- x y z - --- z y x + 4/3 x z + 12 72 36 + + 2 2 2 2 49 2 3 + - 5/6 x y z - 14/9 x z, COEFF(3, -1, 0) = - 2/9 x z - -- z y x + 72 + + 2 3 3 2 2 2 35 2 + + 2/9 z x - 7/27 z x + 7/27 x z + 5/6 x y z - -- x y z + 36 + + 2 2 3 2 3 35 3 2 2 2 49 2 2 + + 7/12 z y x - 5/6 z y x + -- z y x - 7/12 x y z + -- x y z, + 36 72 + + 2 2 3 49 3 2 2 49 + COEFF(-2, 0, 0) = 4/3 z y x + -- z y x + 28/9 x y z + -- x y z + 27 27 + + 2 2 2 3 2 2 2 98 2 + + 28/9 x y z - 14/9 z y x + 4/3 x y z - 14/9 x y z - -- x y z + 27 + + 2 2 2 2 2 3 + - 14/9 x y z - 8/3 x y z - 14/9 z y x , COEFF(-1, 0, 0) = + + 2 2 2 2 2 2 3 2 2 2 + 112/9 x y z - 70/3 x y z - 32/3 x y z + 98/9 z y x + 20 x y z + + 2 2 3 343 3 392 2 + + 245/9 x y z + 98/9 z y x - --- z y x - --- x y z + 112/9 x y z + 27 27 + + 2 2 3 2 2 2 3 + - 28/3 z y x - 70/3 x y z , COEFF(0, 0, 0) = - 224/9 z y x + + 2 1372 2 2 2 2 3 2 2 2 + - 56/3 y z - ---- x y z + 392/9 x y z - 224/9 z y x - 112/3 x y z + 27 + + 2 2 2 2 3 2 2 784 3 2 + + 392/9 x y z + 64/3 z y x + 16 y z + --- z y x - 56/3 y z + 27 + + 980 2 2 2 2 + + 196/9 y z, COEFF(1, 0, 0) = --- x y z - 280/9 x y z - 112/9 x y z + 27 + + 2 2 2 2 2 392 2 2 3 + + 32/3 x y z + 80/3 x y z + --- x y z - 112/9 x y z + 224/9 z y x + 27 + + 2 2 3 2 3 784 3 2 2 + - 64/3 z y x + 224/9 z y x - --- z y x - 280/9 x y z, + 27 + + 2 2 2 2 2 2 2 + COEFF(2, 0, 0) = - 4/3 x y z - 98/9 x y z + 14/9 x y z - 8 x y z + + 49 343 3 2 3 2 2 3 2 2 + - -- x y z + --- z y x - 98/9 z y x + 28/3 z y x + 28/3 x y z + 27 27 + + 2 3 2 2 2 2 3 + - 98/9 z y x + 14/9 x y z + 28/3 x y z, COEFF(3, 0, 0) = 14/9 z y x + + 49 2 2 2 3 2 2 2 2 2 2 2 + + -- x y z - 4/3 z y x - 14/9 x y z + 4/3 x y z - 14/9 x y z + 27 + + 49 3 2 3 14 2 2 + - -- z y x + 14/9 z y x , COEFF(-2, 1, 0) = -- x z + 10/9 x y z + 27 27 + + 2 70 2 35 3 3 + - 7/27 x z + 14/9 x y z + -- x y z - -- z y x - 7/27 z x + 27 27 + + 2 2 2 2 2 2 3 2 2 2 + - 28/9 x y z + 8/3 x y z + 10/9 z y x + 2/9 x z - 4/3 x y z + + 2 2 2 3 2 3 2 2 35 + - 4/9 x z + 2/9 z x + 14/9 z y x - 20/9 x y z - -- x y z + 27 + + 2 2 3 2 2 2 2 + - 4/3 z y x , COEFF(-1, 1, 0) = - 80/9 x y z + 70/3 x y z - 35/9 x z + + 2 245 3 2 3 56 49 3 2 3 + - 16/9 x z + --- z y x - 14/9 z x + -- x z + -- z x - 98/9 z y x + 27 27 27 + + 2 2 2 2 2 2 2 2 2 3 2 2 + - 20 x y z + 10/3 x z + 32/3 x y z + 28/3 z y x + 50/3 x y z + + 280 2 2 3 2 + + --- x y z - 112/9 x y z - 70/9 z y x - 175/9 x y z, COEFF(0, 1, 0) + 27 + + 2 2 2 3 560 3 2 3 2 + = - 392/9 x y z + 32/9 z x - --- z y x + 224/9 z y x + 56/3 y z + 27 + + 2 2 2 3 2 2 196 2 2 2 + - 280/9 x y z + 160/9 z y x - 16 y z + --- x z - 56/9 x z + 27 + + 2 2 3 2 2 2 2 2 + - 64/3 z y x + 40/3 y z + 8/3 z - 140/9 y z + 112/3 x y z - 28/9 z + + 112 3 980 2 56 140 2 + - --- z x + --- x y z, COEFF(1, 1, 0) = - -- x z - --- x z + 27 27 27 27 + + 2 2 2 280 700 2 2 3 2 + - 80/3 x y z - --- x y z - --- x y z - 32/9 z x + 112/9 x y z + 27 27 + + 2 3 560 3 2 2 2 2 + - 224/9 z y x + --- z y x - 32/3 x y z + 200/9 x y z + 27 + + 2 3 112 3 2 2 3 2 2 2 + - 160/9 z y x + --- z x + 64/3 z y x + 40/9 x z + 16/9 x z + 27 + + 2 2 2 2 2 2 2 + + 80/9 x y z + 280/9 x y z, COEFF(2, 1, 0) = 14/9 x z + 8 x y z + + 2 3 2 2 2 2 + + 98/9 z y x + 70/9 x y z - 10/9 x y z + 7/27 x z + 4/3 x y z + + 35 2 2 2 3 245 3 2 2 + + -- x y z - 28/3 x y z + 14/9 z x - --- z y x - 20/3 x y z + 27 27 + + 2 2 3 2 2 3 2 49 3 + - 28/3 z y x - 2/9 x z + 70/9 z y x - 14/9 x y z - -- z x + 27 + + 2 2 2 3 2 3 2 3 + - 4/3 x z , COEFF(3, 1, 0) = - 2/9 z x - 10/9 z y x - 14/9 z y x + + 2 2 2 2 35 2 2 2 2 + + 2/9 x z + 10/9 x y z - -- x y z + 14/9 x y z - 7/27 x z + 27 + + 35 3 2 2 2 2 2 3 3 + + -- z y x - 4/3 x y z + 4/3 z y x + 7/27 z x , COEFF(-2, 2, 0) = + 27 + + 49 2 2 2 2 3 + -- x y z + 7/216 x z - 7/108 x z - 1/3 x y z + 7/18 x y z + 7/216 z x + 36 + + 2 2 2 2 2 2 3 2 3 2 2 + - 1/36 x z - 7/6 x y z + 7/12 z y x - 1/3 z y x + 2/3 x y z + + 49 2 2 3 49 2 3 2 2 3 + - -- x y z - 1/36 z x - -- z y x + 1/18 x z + 7/18 z y x + 72 72 + + 2 2 2 2 2 + + 7/12 x y z - 7/9 x y z, COEFF(-1, 2, 0) = 49/9 x y z + 8/3 x y z + + 49 3 2 3 35 2 49 3 343 2 3 245 2 2 + - -- z y x + 7/3 z y x + -- x z - --- z x + --- z y x - --- x y z + 18 72 216 72 24 + + 2 2 2 2 3 + - 14/3 x y z + 35/6 x y z + 7/36 z x - 7/27 x z - 28/9 x y z + + 49 2 2 3 2 2 2 2 2 2 2 2 + - -- z y x + 35/4 x y z - 5/12 x z + 2/9 x z - 5 x y z , + 12 + + 2 3 2 2 14 3 + COEFF(0, 2, 0) = - 98/9 z y x + 28/3 x y z + 7/18 z + -- z x + 27 + + 2 3 2 2 49 2 2 2 2 2 + - 4/9 z x + 14/3 y z + 7/9 x z - -- x z - 1/3 z - 49/3 x y z + 54 + + 2 2 3 2 2 3 343 2 2 2 2 + - 98/9 x y z - 16/3 z y x + 28/3 z y x + --- x y z + 7 y z + 18 + + 2 3 2 2 + - 4 y z + 56/9 z y x - 49/6 y z, COEFF(1, 2, 0) = - 49/9 x y z + + 2 3 2 3 2 3 245 2 2 + + 4/9 z x + 70/9 x y z - 56/9 z y x + 16/3 z y x - --- x y z + 18 + + 2 2 2 2 3 2 2 2 2 2 + + 14/3 x y z - 8/3 x y z + 98/9 z y x + 35/3 x y z - 20/3 x y z + + 2 2 2 2 2 3 14 3 + + 7/27 x z - 5/9 x z - 2/9 x z - 28/3 z y x - -- z x + 28/9 x y z + 27 + + 35 2 2 2 2 3 2 49 3 + + -- x z, COEFF(2, 2, 0) = 2 x y z - 7/36 z x - 7/3 x y z + --- z x + 54 216 + + 49 2 2 2 3 49 2 49 2 2 3 + + -- x y z - 7/3 z y x - 7/18 x y z + -- x y z + -- z y x + 12 72 12 + + 49 3 2 2 2 2 2 2 + + -- z y x - 7/36 x z + 1/36 x z + 1/3 x y z - 7/2 x y z + 18 + + 2 2 343 2 3 2 2 + - 7/12 x y z - 7/216 x z - --- z y x + 1/6 x z , COEFF(3, 2, 0) = + 72 + + 2 2 2 3 2 2 2 2 2 3 + - 1/36 x z + 1/3 z y x + 7/18 x y z - 1/3 x y z - 7/12 z y x + + 2 49 2 3 49 2 2 3 3 + + 7/216 x z + -- z y x - -- x y z - 7/18 z y x - 7/216 z x + 72 72 + + 2 2 2 2 3 + + 7/12 x y z + 1/36 z x , COEFF(-2, 3, 0) = - 7/108 x y z + + 2 2 2 2 2 2 3 3 2 + - 1/9 x y z - 1/12 x y z - 1/12 z y x - 7/108 z y x + 7/54 x y z + + 2 2 2 2 2 3 2 2 2 + + 1/6 x y z + 1/18 x y z + 1/18 z y x - 7/36 x y z + 7/72 x y z + + 2 3 14 2 2 2 3 + + 7/72 z y x , COEFF(-1, 3, 0) = -- x y z + 2/3 x y z - 7/18 z y x + 27 + + 49 3 2 2 2 2 2 35 2 35 2 2 + + --- z y x - 5/4 x y z + 5/6 x y z - -- x y z + -- x y z + 108 36 24 + + 2 2 2 3 2 49 2 3 + - 4/9 x y z + 7/12 z y x - 7/9 x y z - -- z y x , COEFF(0, 3, 0) = + 72 + + 28 3 2 3 2 2 2 3 2 + - -- z y x - 7/9 y z + 14/9 z y x + 2/3 y z - 4/3 z y x + 7/6 y z + 27 + + 2 2 2 2 2 49 2 2 3 2 2 + - 14/9 x y z + 7/3 x y z + -- x y z + 8/9 z y x - y z + 27 + + 49 2 2 2 3 28 3 2 2 + - -- x y z, COEFF(1, 3, 0) = - 8/9 z y x + -- z y x + 10/9 x y z + 18 27 + + 2 2 35 2 2 2 2 2 35 2 2 + - 2/3 x y z - -- x y z - 5/3 x y z + 7/9 x y z + -- x y z + 27 18 + + 2 2 3 2 3 14 2 + + 4/3 z y x - 14/9 z y x - -- x y z + 4/9 x y z , COEFF(2, 3, 0) = + 27 + + 2 2 2 2 2 2 3 + - 7/12 x y z - 7/72 x y z + 7/108 x y z - 1/3 x y z + 7/18 z y x + + 2 2 49 2 3 2 2 49 3 + + 1/12 x y z + -- z y x + 7/18 x y z - 1/18 x y z - --- z y x + 72 108 + + 2 2 2 2 2 3 2 2 + + 1/2 x y z - 7/12 z y x , COEFF(3, 3, 0) = 7/72 x y z + + 2 2 2 2 2 2 2 3 + + 1/18 x y z - 1/12 x y z - 7/108 x y z - 1/18 z y x + + 2 3 2 2 3 3 + - 7/72 z y x + 1/12 z y x + 7/108 z y x , COEFF(-2, -2, 1) = + + 2 2 2 3 2 3 2 2 + - 2/9 x y z + 5/27 x y z - 5/54 z y x + 5/72 z y x - 1/12 x y z + + 2 3 2 2 2 3 3 2 2 2 + + 1/9 z y x + 5/72 x y z - 1/12 z y x + 5/216 z x + 1/6 x y z + + 2 2 2 3 2 3 + - 5/36 x y z + 1/216 x + 5/216 x z - 1/36 z x + 1/72 x y + 1/216 x + + 2 2 2 2 2 3 + - 1/108 x + 1/18 x z - 5/108 x z + 1/72 y x - 5/54 x y z + + 2 2 2 2 3 2 + + 1/9 x y z - 1/36 x y - 1/54 x y + 1/27 x y - 1/54 y x - 1/36 x z , + + 2 2 25 2 35 3 35 2 3 + COEFF(-1, -2, 1) = 5/3 x y z - -- x y z + -- z y x - -- z y x + 18 54 72 + + 2 2 2 3 2 2 2 3 35 3 + + 2/3 x y z - 7/9 z y x - 5/9 x y z + 7/12 z y x - --- z x + 216 + + 2 2 2 25 2 2 2 3 2 + - 5/4 x y z + -- x y z - 1/27 x - 5/27 x z + 7/36 z x - 1/9 x y + 24 + + 3 2 2 2 25 2 2 3 20 + - 7/216 x + 5/72 x - 5/12 x z + -- x z - 7/72 y x + -- x y z + 72 27 + + 2 2 2 2 3 2 + - 8/9 x y z + 5/24 x y + 4/27 x y - 5/18 x y + 7/54 y x + 2/9 x z , + + 2 2 70 2 40 3 2 3 + COEFF(0, -2, 1) = - 28/9 x y z + -- x y z - -- z y x + 10/9 z y x + 27 27 + + 2 3 2 2 3 10 3 2 2 2 2 2 + + 16/9 z y x - 4/3 z y x + -- z x - y z + 7/3 x y z + 27 + + 35 2 2 2 2 2 3 + - -- x y z + 5/6 y z - 10/9 y z - 2/9 y + 5/18 z - 1/3 z - 4/9 z x + 18 + + 3 2 2 2 2 35 2 2 3 + + 2/27 x - 7/54 x + 1/6 y + 7/9 x z - -- x z + 2/9 y x + 54 + + 2 2 14 2 3 2 + - 7/18 x y + -- x y - 8/27 y x + 4/3 y z + 1/18, COEFF(1, -2, 1) = + 27 + + 2 2 50 2 40 3 2 3 2 2 + 20/9 x y z - -- x y z + -- z y x - 10/9 z y x - 2/3 x y z + 27 27 + + 2 3 2 2 2 3 10 3 2 2 2 + - 16/9 z y x + 5/9 x y z + 4/3 z y x - -- z x - 5/3 x y z + 27 + + 25 2 2 2 3 2 3 + + -- x y z + 1/27 x + 5/27 x z + 4/9 z x + 1/9 x y - 2/27 x + 18 + + 2 2 2 25 2 2 3 20 2 + + 5/54 x - 5/9 x z + -- x z - 2/9 y x - -- x y z + 8/9 x y z + 54 27 + + 2 2 10 2 3 2 + + 5/18 x y - 4/27 x y - -- x y + 8/27 y x - 2/9 x z , COEFF(2, -2, 1) + 27 + + 2 2 2 35 3 35 2 3 2 2 + = - 2/3 x y z + 5/9 x y z - -- z y x + -- z y x + 1/12 x y z + 54 72 + + 2 3 2 2 2 3 35 3 2 2 2 + + 7/9 z y x - 5/72 x y z - 7/12 z y x + --- z x + 1/2 x y z + 216 + + 2 2 2 3 2 3 + - 5/12 x y z - 1/216 x - 5/216 x z - 7/36 z x - 1/72 x y + 7/216 x + + 2 2 2 2 2 3 2 + - 1/36 x + 1/6 x z - 5/36 x z + 7/72 y x + 5/54 x y z - 1/9 x y z + + 2 2 2 3 2 + - 1/12 x y + 1/54 x y + 1/9 x y - 7/54 y x + 1/36 x z , + + 2 3 2 2 2 2 2 + COEFF(3, -2, 1) = - 5/72 z y x - 1/54 x y - 1/36 x z + 1/72 x y + + 2 3 2 3 2 2 3 2 + + 1/36 z x - 5/54 x y z - 1/216 x + 1/9 x y z + 1/54 y x + 1/216 x + + 3 2 3 2 2 3 2 2 3 + - 5/216 z x - 1/9 z y x + 5/216 x z - 1/72 y x + 1/12 z y x + + 2 2 2 2 2 3 + + 5/72 x y z - 1/12 x y z + 5/54 z y x , COEFF(-2, -1, 1) = + + 2 2 25 2 25 3 35 2 3 2 2 + 5/3 x y z - -- x y z + -- z y x - -- z y x + 7/12 x y z + 18 36 72 + + 2 3 35 2 2 2 3 3 2 2 2 + - 5/6 z y x - -- x y z + 7/12 z y x - 5/27 z x - 7/6 x y z + 72 + + 35 2 2 2 3 2 3 + + -- x y z - 1/27 x - 5/27 x z + 2/9 z x - 7/72 x y - 1/27 x + 36 + + 2 2 2 10 2 2 3 25 2 + + 2/27 x - 4/9 x z + -- x z - 7/72 y x + -- x y z - 5/6 x y z + 27 36 + + 2 2 2 3 2 + + 7/36 x y + 5/36 x y - 5/18 x y + 5/36 y x + 2/9 x z , + + 2 2 125 2 175 3 245 2 3 + COEFF(-1, -1, 1) = - 25/2 x y z + --- x y z - --- z y x + --- z y x + 12 36 72 + + 2 2 2 3 2 49 2 2 3 35 3 + - 14/3 x y z + 35/6 z y x + 35/9 x y z - -- z y x + -- z x + 12 27 + + 2 2 2 175 2 2 40 2 3 2 + + 35/4 x y z - --- x y z + 8/27 x + -- x z - 14/9 z x + 7/9 x y + 24 27 + + 3 2 2 2 2 49 2 3 + + 7/27 x - 5/9 x + 10/3 x z - 25/9 x z + -- y x - 50/9 x y z + 72 + + 2 35 2 2 25 2 35 3 2 + + 20/3 x y z - -- x y - 10/9 x y + -- x y - -- y x - 16/9 x z , + 24 12 36 + + 2 2 2 3 2 3 + COEFF(0, -1, 1) = 70/3 x y z - 175/9 x y z + 100/9 z y x - 70/9 z y x + + 2 3 2 2 3 80 3 2 2 2 2 2 + - 40/3 z y x + 28/3 z y x - -- z x + 7 y z - 49/3 x y z + 27 + + 245 2 2 2 2 + + --- x y z - 35/6 y z + 25/3 y z + 5/3 y - 20/9 z + 8/3 z + 18 + + 2 3 16 3 28 2 2 2 2 140 2 2 3 + + 32/9 z x - -- x + -- x - 7/6 y - 56/9 x z + --- x z - 14/9 y x + 27 27 27 + + 49 2 2 2 3 2 + + -- x y - 35/9 x y + 20/9 y x - 10 y z - 4/9, COEFF(1, -1, 1) = + 18 + + 2 2 2 3 2 3 2 2 + - 50/3 x y z + 125/9 x y z - 100/9 z y x + 70/9 z y x + 14/3 x y z + + 2 3 2 2 2 3 80 3 2 2 2 + + 40/3 z y x - 35/9 x y z - 28/3 z y x + -- z x + 35/3 x y z + 27 + + 175 2 2 40 2 3 2 16 3 20 2 + - --- x y z - 8/27 x - -- x z - 32/9 z x - 7/9 x y + -- x - -- x + 18 27 27 27 + + 2 2 100 2 2 3 2 35 2 2 + + 40/9 x z - --- x z + 14/9 y x + 50/9 x y z - 20/3 x y z - -- x y + 27 18 + + 2 3 2 + + 10/9 x y + 25/9 x y - 20/9 y x + 16/9 x z , COEFF(2, -1, 1) = + + 2 2 2 175 3 245 2 3 2 2 + 5 x y z - 25/6 x y z + --- z y x - --- z y x - 7/12 x y z + 36 72 + + 2 3 35 2 49 2 2 3 35 3 2 2 2 + - 35/6 z y x + -- x y z + -- z y x - -- z x - 7/2 x y z + 72 12 27 + + 35 2 2 2 3 2 3 + + -- x y z + 1/27 x + 5/27 x z + 14/9 z x + 7/72 x y - 7/27 x + 12 + + 2 2 2 2 49 2 3 25 2 + + 2/9 x - 4/3 x z + 10/9 x z - -- y x - -- x y z + 5/6 x y z + 72 36 + + 2 2 2 35 3 2 + + 7/12 x y - 5/36 x y - 5/6 x y + -- y x - 2/9 x z , COEFF(3, -1, 1) + 36 + + 2 3 2 3 2 3 2 2 + = - 5/27 x z - 5/36 y x + 7/72 y x - 2/9 z x - 5/6 x y z + + 25 2 2 2 2 3 35 2 2 2 25 3 + + -- x y z + 7/12 x y z + 1/27 x - -- x y z - 1/27 x - -- z y x + 36 72 36 + + 3 35 2 3 2 2 2 2 2 3 + + 5/27 z x + -- z y x + 2/9 x z - 7/72 x y + 5/6 z y x + 72 + + 2 2 3 2 2 2 3 + - 7/12 z y x + 5/36 x y, COEFF(-2, 0, 1) = 14/9 x y z + 10/9 z y x + + 35 2 2 2 2 2 2 2 + - 7/27 x y - -- x y z + 8/3 x y z + 2/9 x y + 10/9 x y z - 4/9 x y + 27 + + 2 3 3 70 2 2 2 3 2 3 + + 14/9 z y x - 7/27 y x + -- x y z - 4/3 z y x + 2/9 y x + 27 + + 2 2 2 2 2 2 35 3 14 2 + - 4/3 x y z - 20/9 x y z - 28/9 x y z - -- z y x + -- x y, + 27 27 + + 2 2 2 2 2 2 2 + COEFF(-1, 0, 1) = - 35/9 x y - 80/9 x y z - 20 x y z + 32/3 x y z + + 2 2 3 2 3 56 245 3 2 2 + + 28/3 z y x - 98/9 z y x + -- x y + --- z y x + 50/3 x y z + 27 27 + + 2 3 2 2 2 2 2 2 3 + - 14/9 y x - 175/9 x y z + 10/3 x y + 70/3 x y z - 70/9 z y x + + 280 2 2 49 3 + + --- x y z - 112/9 x y z - 16/9 x y + -- y x , COEFF(0, 0, 1) = + 27 27 + + 196 2 980 2 2 2 112 3 2 560 3 + --- x y + --- x y z - 56/9 x y - --- y x + 8/3 y - --- z y x + 27 27 27 27 + + 2 2 3 2 2 2 + + 40/3 y z - 140/9 y z + 224/9 z y x - 16 y z + 56/3 y z + + 2 3 2 3 2 2 2 2 3 + + 32/9 y x + 160/9 z y x - 280/9 x y z - 64/3 z y x + + 2 2 2 2 2 56 + + 112/3 x y z - 28/9 y - 392/9 x y z , COEFF(1, 0, 1) = - -- x y + 27 + + 2 2 2 2 2 3 700 2 2 3 + - 32/3 x y z + 200/9 x y z - 224/9 z y x - --- x y z - 32/9 y x + 27 + + 112 3 140 2 560 3 2 2 + + --- y x - --- x y + --- z y x + 80/9 x y z + 16/9 x y + 27 27 27 + + 2 2 2 2 2 2 2 2 280 + + 280/9 x y z + 112/9 x y z + 40/9 x y - 80/3 x y z - --- x y z + 27 + + 2 2 3 2 3 2 3 49 3 + + 64/3 z y x - 160/9 z y x , COEFF(2, 0, 1) = 98/9 z y x - -- y x + 27 + + 2 2 2 245 3 2 3 2 3 + - 14/9 x y z - 20/3 x y z - --- z y x + 70/9 z y x + 14/9 y x + 27 + + 2 2 2 2 2 2 2 3 2 35 + - 28/3 x y z + 8 x y z - 28/3 z y x + 70/9 x y z + -- x y z + 27 + + 2 2 2 2 2 2 2 + - 10/9 x y z + 14/9 x y + 4/3 x y z + 7/27 x y - 4/3 x y - 2/9 x y , + + 2 2 3 2 2 2 + COEFF(3, 0, 1) = 2/9 x y + 7/27 y x - 7/27 x y + 10/9 x y z + + 2 2 3 2 2 2 2 3 2 3 35 3 + + 4/3 z y x - 4/3 x y z - 14/9 z y x - 10/9 z y x + -- z y x + 27 + + 2 3 2 2 35 2 2 2 + - 2/9 y x + 14/9 x y z - -- x y z, COEFF(-2, 1, 1) = 20/9 x y z + 27 + + 50 2 25 3 2 3 2 2 2 3 + - -- x y z + -- z y x - 10/9 z y x + 4/3 x y z - 10/9 z y x + 27 27 + + 2 2 2 3 3 2 2 2 2 2 + - 10/9 x y z + 4/3 z y x + 5/27 z x - 8/3 x y z + 20/9 x y z + + 2 3 2 3 2 2 2 + + 1/27 x + 5/27 x z - 2/9 z x - 2/9 x y + 1/27 x - 2/27 x + 4/9 x z + + 10 2 2 3 25 2 2 2 + - -- x z - 2/9 y x + -- x y z - 10/9 x y z + 4/9 x y + 5/27 x y + 27 27 + + 10 2 3 2 2 2 + - -- x y + 5/27 y x - 2/9 x z , COEFF(-1, 1, 1) = - 50/3 x y z + 27 + + 2 175 3 2 3 2 2 2 3 + + 125/9 x y z - --- z y x + 70/9 z y x - 32/3 x y z + 70/9 z y x + 27 + + 2 2 2 3 35 3 2 2 2 2 2 + + 80/9 x y z - 28/3 z y x - -- z x + 20 x y z - 50/3 x y z + 27 + + 40 2 3 2 3 2 2 2 + - 8/27 x - -- x z + 14/9 z x + 16/9 x y - 7/27 x + 5/9 x - 10/3 x z + 27 + + 2 2 3 200 2 2 2 40 + + 25/9 x z + 14/9 y x - --- x y z + 80/9 x y z - 10/3 x y - -- x y + 27 27 + + 2 35 3 2 2 2 + + 25/9 x y - -- y x + 16/9 x z , COEFF(0, 1, 1) = 280/9 x y z + 27 + + 700 2 400 3 2 3 2 3 2 2 3 + - --- x y z + --- z y x - 160/9 z y x - 160/9 z y x + 64/3 z y x + 27 27 + + 80 3 2 2 2 2 2 2 2 2 + + -- z x + 16 y z - 112/3 x y z + 280/9 x y z - 40/3 y z + 27 + + 2 2 3 16 3 28 2 + + 100/9 y z + 20/9 y + 20/9 z - 8/3 z - 32/9 z x + -- x - -- x + 27 27 + + 2 2 2 140 2 2 3 2 2 140 2 + - 8/3 y + 56/9 x z - --- x z - 32/9 y x + 56/9 x y - --- x y + 27 27 + + 80 3 2 2 2 500 2 + + -- y x - 40/3 y z + 4/9, COEFF(1, 1, 1) = - 200/9 x y z + --- x y z + 27 27 + + 400 3 2 3 2 2 2 3 2 + - --- z y x + 160/9 z y x + 32/3 x y z + 160/9 z y x - 80/9 x y z + 27 + + 2 2 3 80 3 2 2 2 2 2 + - 64/3 z y x - -- z x + 80/3 x y z - 200/9 x y z + 8/27 x + 27 + + 40 2 3 2 16 3 20 2 2 2 100 2 + + -- x z + 32/9 z x - 16/9 x y - -- x + -- x - 40/9 x z + --- x z + 27 27 27 27 + + 2 3 200 2 2 2 40 100 2 + + 32/9 y x + --- x y z - 80/9 x y z - 40/9 x y + -- x y + --- x y + 27 27 27 + + 80 3 2 2 2 2 + - -- y x - 16/9 x z , COEFF(2, 1, 1) = 20/3 x y z - 50/9 x y z + 27 + + 175 3 2 3 2 2 2 3 2 + + --- z y x - 70/9 z y x - 4/3 x y z - 70/9 z y x + 10/9 x y z + 27 + + 2 2 3 35 3 2 2 2 2 2 + + 28/3 z y x + -- z x - 8 x y z + 20/3 x y z - 1/27 x - 5/27 x z + 27 + + 2 3 2 3 2 2 2 2 + - 14/9 z x + 2/9 x y + 7/27 x - 2/9 x + 4/3 x z - 10/9 x z + + 2 3 25 2 2 2 2 + - 14/9 y x - -- x y z + 10/9 x y z + 4/3 x y - 5/27 x y - 10/9 x y + 27 + + 35 3 2 3 2 2 + + -- y x + 2/9 x z , COEFF(3, 1, 1) = - 5/27 y x - 10/9 x y z + 27 + + 2 3 2 3 25 2 2 2 3 + + 2/9 y x + 2/9 z x + -- x y z + 5/27 x z + 5/27 x y - 5/27 z x + 27 + + 2 2 2 3 2 2 3 25 3 2 3 + + 1/27 x - 4/3 z y x - 2/9 x z - 1/27 x - -- z y x + 10/9 z y x + 27 + + 2 2 2 2 2 3 2 2 2 + - 2/9 x y - 10/9 x y z + 10/9 z y x + 4/3 x y z , COEFF(-2, 2, 1) + + 2 2 2 3 35 2 3 2 2 + = - 2/3 x y z + 5/9 x y z - 5/18 z y x + -- z y x - 7/12 x y z + 72 + + 2 3 35 2 2 2 3 3 2 2 2 + + 1/3 z y x + -- x y z - 7/12 z y x - 5/216 z x + 7/6 x y z + 72 + + 35 2 2 2 3 2 3 + - -- x y z - 1/216 x - 5/216 x z + 1/36 z x + 7/72 x y - 1/216 x + 36 + + 2 2 2 2 2 3 + + 1/108 x - 1/18 x z + 5/108 x z + 7/72 y x - 5/18 x y z + + 2 2 2 2 3 2 + + 1/3 x y z - 7/36 x y - 1/18 x y + 1/9 x y - 1/18 y x + 1/36 x z , + + 2 2 2 35 3 245 2 3 + COEFF(-1, 2, 1) = 5 x y z - 25/6 x y z + -- z y x - --- z y x + 18 72 + + 2 2 2 3 2 49 2 2 3 35 3 + + 14/3 x y z - 7/3 z y x - 35/9 x y z + -- z y x + --- z x + 12 216 + + 2 2 2 175 2 2 2 3 2 + - 35/4 x y z + --- x y z + 1/27 x + 5/27 x z - 7/36 z x - 7/9 x y + 24 + + 3 2 2 2 25 2 49 2 3 + + 7/216 x - 5/72 x + 5/12 x z - -- x z - -- y x + 20/9 x y z + 72 72 + + 2 35 2 2 2 3 2 + - 8/3 x y z + -- x y + 4/9 x y - 5/6 x y + 7/18 y x - 2/9 x z , + 24 + + 2 2 2 3 2 3 + COEFF(0, 2, 1) = - 28/3 x y z + 70/9 x y z - 40/9 z y x + 70/9 z y x + + 2 3 2 2 3 10 3 2 2 2 2 2 + + 16/3 z y x - 28/3 z y x - -- z x - 7 y z + 49/3 x y z + 27 + + 245 2 2 2 2 2 3 + - --- x y z + 35/6 y z - 10/3 y z - 2/3 y - 5/18 z + 1/3 z + 4/9 z x + 18 + + 3 2 2 2 2 35 2 2 3 49 2 2 + - 2/27 x + 7/54 x + 7/6 y - 7/9 x z + -- x z + 14/9 y x - -- x y + 54 18 + + 2 3 2 2 2 + + 14/9 x y - 8/9 y x + 4 y z - 1/18, COEFF(1, 2, 1) = 20/3 x y z + + 2 3 2 3 2 2 2 3 + - 50/9 x y z + 40/9 z y x - 70/9 z y x - 14/3 x y z - 16/3 z y x + + 2 2 2 3 10 3 2 2 2 175 2 2 + + 35/9 x y z + 28/3 z y x + -- z x - 35/3 x y z + --- x y z + 27 18 + + 2 3 2 3 2 2 2 + - 1/27 x - 5/27 x z - 4/9 z x + 7/9 x y + 2/27 x - 5/54 x + 5/9 x z + + 25 2 2 3 2 35 2 2 + - -- x z - 14/9 y x - 20/9 x y z + 8/3 x y z + -- x y - 4/9 x y + 54 18 + + 2 3 2 2 2 + - 10/9 x y + 8/9 y x + 2/9 x z , COEFF(2, 2, 1) = -2 x y z + + 2 35 3 245 2 3 2 2 2 3 + + 5/3 x y z - -- z y x + --- z y x + 7/12 x y z + 7/3 z y x + 18 72 + + 35 2 49 2 2 3 35 3 2 2 2 35 2 2 + - -- x y z - -- z y x - --- z x + 7/2 x y z - -- x y z + 1/216 x + 72 12 216 12 + + 2 3 2 3 2 2 2 + + 5/216 x z + 7/36 z x - 7/72 x y - 7/216 x + 1/36 x - 1/6 x z + + 2 49 2 3 2 2 2 + + 5/36 x z + -- y x + 5/18 x y z - 1/3 x y z - 7/12 x y + 1/18 x y + 72 + + 2 3 2 2 2 3 + + 1/3 x y - 7/18 y x - 1/36 x z , COEFF(3, 2, 1) = 7/12 z y x + + 2 2 2 35 2 3 2 3 2 + + 7/72 x y - 5/216 x z - -- z y x - 7/72 y x - 1/216 x + 72 + + 2 3 2 2 2 2 35 2 2 3 + - 1/3 z y x - 1/18 x y - 7/12 x y z + -- x y z + 5/18 z y x + 72 + + 3 2 3 3 2 2 + + 1/216 x - 5/18 x y z + 5/216 z x + 1/18 y x + 1/36 x z + + 2 2 2 3 2 2 2 + + 1/3 x y z - 1/36 z x , COEFF(-2, 3, 1) = - 5/54 x y z + 1/12 x y z + + 3 2 2 2 3 2 + + 5/108 z y x + 5/108 x y z - 1/6 x y z + 1/108 y x - 1/54 x y + + 2 2 2 2 2 3 2 3 + + 1/108 x y - 1/18 x y z + 1/36 x y + 1/12 z y x - 1/72 y x + + 2 2 2 3 2 2 2 3 2 + + 5/36 x y z - 5/72 z y x + 1/9 x y z - 1/18 z y x - 1/72 x y + + 2 2 2 2 25 2 + - 5/72 x y z, COEFF(-1, 3, 1) = - 2/27 x y + 5/4 x y z + -- x y z + 36 + + 25 2 2 35 2 3 2 3 2 2 3 + - -- x y z + -- z y x + 7/72 y x + 5/36 x y + 1/9 x y - 7/108 y x + 24 72 + + 2 2 35 3 2 2 3 2 2 + - 5/6 x y z - --- z y x + 5/9 x y z + 7/18 z y x - 5/24 x y + 108 + + 2 2 10 2 2 3 2 + - 2/3 x y z - -- x y z - 7/12 z y x + 4/9 x y z , COEFF(0, 3, 1) = + 27 + + 20 3 2 2 2 2 3 3 2 + -- z y x + y z - 2/3 y z - 8/9 z y x + 4/27 y x - 1/6 y + 27 + + 2 3 2 2 3 35 2 2 2 2 + - 10/9 z y x + 4/3 z y x + 1/9 y + -- x y z + 14/9 x y z + 18 + + 2 2 2 2 2 2 2 2 3 + - 7/3 x y z - 7/27 x y + 7/18 x y - 5/6 y z + 5/9 y z - 2/9 y x + + 35 2 2 2 20 3 2 3 + - -- x y z, COEFF(1, 3, 1) = - 5/18 x y - -- z y x + 10/9 z y x + 27 27 + + 25 2 2 2 2 25 2 2 2 2 + + -- x y z + 5/3 x y z - -- x y z - 10/9 x y z + 2/27 x y + 27 18 + + 2 3 2 3 3 2 2 3 2 + + 2/9 y x + 8/9 z y x - 4/27 y x - 4/3 z y x - 5/9 x y z + + 2 2 2 10 2 2 + + 2/3 x y z + 5/27 x y + -- x y z - 1/9 x y - 4/9 x y z , + 27 + + 2 3 2 35 2 3 + COEFF(2, 3, 1) = - 7/18 z y x - 1/18 x y - -- z y x - 5/108 x y z + 72 + + 2 2 2 3 3 2 2 2 + - 5/18 x y z + 1/72 x y - 7/72 y x + 7/108 y x - 1/2 x y z + + 2 2 2 2 2 2 2 2 2 + - 1/12 x y z + 1/12 x y + 1/18 x y z + 1/3 x y z + 5/12 x y z + + 2 2 3 2 35 3 + - 1/108 x y + 7/12 z y x + 5/72 x y z + --- z y x , COEFF(3, 3, 1) = + 108 + + 2 2 3 2 3 2 2 3 + - 5/72 x y z - 5/108 z y x + 1/72 y x - 1/18 x y z - 1/108 y x + + 2 3 2 3 2 2 2 2 2 2 + + 1/18 z y x + 5/72 z y x - 1/72 x y + 1/12 x y z + 1/108 x y + + 2 2 2 3 2 2 + + 5/108 x y z - 1/12 z y x , COEFF(-2, -2, 2) = 7/72 x y z + + 2 3 2 3 2 2 2 3 + - 1/18 x y z + 1/36 z y x - 1/48 z y x + 7/192 x y z - 7/144 z y x + + 2 2 2 3 3 2 2 2 2 2 + - 1/48 x y z + 7/192 z y x - 1/144 z x - 7/96 x y z + 1/24 x y z + + 2 3 2 3 2 + - 1/1728 x - 1/144 x z + 7/576 z x - 1/576 x y - 1/1728 x + 1/864 x + + 2 2 2 2 3 2 + - 7/288 x z + 1/72 x z - 1/576 y x + 1/36 x y z - 7/144 x y z + + 2 2 2 3 2 + + 1/288 x y + 1/432 x y - 1/216 x y + 1/432 y x + 7/576 x z , + + 35 2 2 2 3 2 3 + COEFF(-1, -2, 2) = - -- x y z + 5/12 x y z - 7/36 z y x + 7/48 z y x + 48 + + 2 2 49 2 3 2 49 2 2 3 3 + - 7/24 x y z + --- z y x + 1/6 x y z - --- z y x + 7/144 z x + 144 192 + + 35 2 2 2 2 2 49 2 3 2 + + -- x y z - 5/16 x y z + 1/216 x + 1/18 x z - --- z x + 1/72 x y + 64 576 + + 3 2 35 2 2 2 2 3 + + 7/1728 x - 5/576 x + --- x z - 5/48 x z + 7/576 y x - 2/9 x y z + 192 + + 2 2 2 2 3 + + 7/18 x y z - 5/192 x y - 1/54 x y + 5/144 x y - 7/432 y x + + 2 49 2 2 2 3 + - 7/72 x z , COEFF(0, -2, 2) = -- x y z - 7/9 x y z + 4/9 z y x + 36 + + 2 3 2 3 2 2 3 3 2 2 + - 1/3 z y x - 7/9 z y x + 7/12 z y x - 1/9 z x + 7/16 y z + + 49 2 2 2 2 2 2 + - -- x y z + 7/12 x y z - 1/4 y z + 1/3 y z + 1/36 y - 1/12 z + 48 + + 2 2 3 3 2 2 49 2 2 + + 7/48 z + 7/36 z x - 1/108 x + 7/432 x - 1/48 y - --- x z + 144 + + 2 2 3 2 2 2 3 + + 7/36 x z - 1/36 y x + 7/144 x y - 7/108 x y + 1/27 y x + + 2 35 2 2 2 + - 7/12 y z - 1/144, COEFF(1, -2, 2) = - -- x y z + 5/9 x y z + 36 + + 3 2 3 2 2 2 3 2 + - 4/9 z y x + 1/3 z y x + 7/24 x y z + 7/9 z y x - 1/6 x y z + + 2 2 3 3 35 2 2 2 2 2 + - 7/12 z y x + 1/9 z x + -- x y z - 5/12 x y z - 1/216 x + 48 + + 2 3 2 3 2 35 2 2 + - 1/18 x z - 7/36 z x - 1/72 x y + 1/108 x - 5/432 x + --- x z + 144 + + 2 2 3 2 2 2 + - 5/36 x z + 1/36 y x + 2/9 x y z - 7/18 x y z - 5/144 x y + + 2 3 2 + + 1/54 x y + 5/108 x y - 1/27 y x + 7/72 x z , COEFF(2, -2, 2) = + + 2 2 2 3 2 3 2 2 + 7/24 x y z - 1/6 x y z + 7/36 z y x - 7/48 z y x - 7/192 x y z + + 49 2 3 2 49 2 2 3 3 2 2 2 + - --- z y x + 1/48 x y z + --- z y x - 7/144 z x - 7/32 x y z + 144 192 + + 2 2 49 2 3 2 3 + + 1/8 x y z + 1/1728 x + 1/144 x z + --- z x + 1/576 x y - 7/1728 x + 576 + + 2 2 2 2 2 3 + + 1/288 x - 7/96 x z + 1/24 x z - 7/576 y x - 1/36 x y z + + 2 2 2 2 3 + + 7/144 x y z + 1/96 x y - 1/432 x y - 1/72 x y + 7/432 y x + + 2 2 3 2 3 2 + - 7/576 x z , COEFF(3, -2, 2) = - 7/576 z x + 7/144 z y x - 1/1728 x + + 3 2 2 2 2 2 3 2 + - 1/36 z y x - 1/48 x y z - 7/144 x y z + 1/48 z y x + 1/432 x y + + 2 3 2 3 2 2 2 2 2 + + 1/576 y x + 1/36 x y z + 1/1728 x + 7/576 x z + 7/192 x y z + + 2 2 2 3 3 3 2 2 + - 1/144 x z - 7/192 z y x + 1/144 z x - 1/432 y x - 1/576 x y , + + 35 2 2 2 3 2 3 + COEFF(-2, -1, 2) = - -- x y z + 5/12 x y z - 5/24 z y x + 7/48 z y x + 48 + + 49 2 2 35 2 3 2 49 2 2 3 3 + - --- x y z + -- z y x + 7/48 x y z - --- z y x + 1/18 z x + 192 96 192 + + 49 2 2 2 2 2 2 3 + + -- x y z - 7/24 x y z + 1/216 x + 1/18 x z - 7/72 z x + 96 + + 2 3 2 2 2 2 2 3 + + 7/576 x y + 1/216 x - 1/108 x + 7/36 x z - 1/9 x z + 7/576 y x + + 35 2 2 2 2 + - 5/24 x y z + -- x y z - 7/288 x y - 5/288 x y + 5/144 x y + 96 + + 3 2 175 2 2 2 + - 5/288 y x - 7/72 x z , COEFF(-1, -1, 2) = --- x y z - 25/8 x y z + 32 + + 35 3 49 2 3 49 2 2 245 2 3 2 + + -- z y x - -- z y x + -- x y z - --- z y x - 7/6 x y z + 24 48 24 96 + + 343 2 2 3 3 245 2 2 2 35 2 2 + + --- z y x - 7/18 z x - --- x y z + -- x y z - 1/27 x - 4/9 x z + 192 64 16 + + 49 2 3 2 3 2 35 2 2 2 + + -- z x - 7/72 x y - 7/216 x + 5/72 x - -- x z + 5/6 x z + 72 24 + + 49 2 3 35 2 35 2 2 25 2 + - --- y x + 5/3 x y z - -- x y z + --- x y + 5/36 x y - -- x y + 576 12 192 96 + + 35 3 2 245 2 2 2 + + --- y x + 7/9 x z , COEFF(0, -1, 2) = - --- x y z + 35/6 x y z + 288 24 + + 3 2 3 2 3 49 2 2 3 3 + - 10/3 z y x + 7/3 z y x + 35/6 z y x - -- z y x + 8/9 z x + 12 + + 49 2 2 343 2 2 2 49 2 2 2 + - -- y z + --- x y z - -- x y z + 7/4 y z - 5/2 y z - 5/24 y + 16 48 12 + + 2 2 3 3 2 2 49 2 2 + + 2/3 z - 7/6 z - 14/9 z x + 2/27 x - 7/54 x + 7/48 y + -- x z + 18 + + 2 2 3 49 2 2 35 2 3 2 + - 14/9 x z + 7/36 y x - --- x y + -- x y - 5/18 y x + 35/8 y z + 144 72 + + 175 2 2 2 3 + + 1/18, COEFF(1, -1, 2) = --- x y z - 25/6 x y z + 10/3 z y x + 24 + + 2 3 49 2 2 2 3 2 49 2 2 3 + - 7/3 z y x - -- x y z - 35/6 z y x + 7/6 x y z + -- z y x + 24 12 + + 3 245 2 2 2 35 2 2 2 3 + - 8/9 z x - --- x y z + -- x y z + 1/27 x + 4/9 x z + 14/9 z x + 48 12 + + 2 3 2 35 2 2 2 2 3 + + 7/72 x y - 2/27 x + 5/54 x - -- x z + 10/9 x z - 7/36 y x + 18 + + 35 2 35 2 2 25 2 3 + - 5/3 x y z + -- x y z + --- x y - 5/36 x y - -- x y + 5/18 y x + 12 144 72 + + 2 35 2 2 2 35 3 + - 7/9 x z , COEFF(2, -1, 2) = - -- x y z + 5/4 x y z - -- z y x + 16 24 + + 49 2 3 49 2 2 245 2 3 2 343 2 2 3 + + -- z y x + --- x y z + --- z y x - 7/48 x y z - --- z y x + 48 192 96 192 + + 3 49 2 2 2 2 2 49 2 3 + + 7/18 z x + -- x y z - 7/8 x y z - 1/216 x - 1/18 x z - -- z x + 32 72 + + 2 3 2 2 2 2 49 2 3 + - 7/576 x y + 7/216 x - 1/36 x + 7/12 x z - 1/3 x z + --- y x + 576 + + 35 2 2 2 2 35 3 + + 5/24 x y z - -- x y z - 7/96 x y + 5/288 x y + 5/48 x y - --- y x + 96 288 + + 2 49 2 2 2 2 3 2 + + 7/72 x z , COEFF(3, -1, 2) = - --- x y z + 7/72 z x - 5/24 x y z + 192 + + 35 2 3 2 2 3 3 2 2 + - -- z y x + 7/48 x y z - 1/18 z x + 5/24 z y x - 7/72 x z + 96 + + 2 2 3 2 2 3 + + 1/18 x z - 5/288 x y + 5/288 y x + 1/216 x - 7/576 y x + + 2 2 49 2 2 3 3 35 2 2 2 3 + + 7/576 x y + --- z y x - 1/216 x + -- x y z - 7/48 z y x , + 192 96 + + 49 2 2 2 2 3 3 + COEFF(-2, 0, 2) = - -- x y z - 7/108 x y + 7/12 z y x + 7/216 y x + 72 + + 49 2 3 2 2 49 2 2 2 3 + - -- z y x + 7/12 x y z + -- x y z + 7/18 x y z - 1/36 y x + 72 36 + + 2 3 2 2 2 2 3 2 + - 1/36 x y + 7/18 z y x - 7/6 x y z - 1/3 z y x - 7/9 x y z + + 2 2 2 2 2 + + 2/3 x y z + 7/216 x y + 1/18 x y - 1/3 x y z, COEFF(-1, 0, 2) = + + 343 2 3 2 2 49 3 2 2 + --- z y x + 49/9 x y z + 8/3 x y z - -- z y x + 2/9 x y + 35/6 x y z + 72 18 + + 49 2 2 3 2 2 2 2 2 49 3 + - 7/27 x y - -- z y x + 35/4 x y z - 14/3 x y z - --- y x + 12 216 + + 2 2 35 2 2 3 245 2 2 2 2 + - 5/12 x y - 28/9 x y z + -- x y + 7/36 y x - --- x y z - 5 x y z + 72 24 + + 2 3 343 2 2 2 2 2 + + 7/3 z y x , COEFF(0, 0, 2) = --- x y z - 49/6 y z + 28/3 x y z + 18 + + 2 2 3 49 2 2 3 2 2 2 2 2 + + 28/3 z y x + 14/3 y z - -- x y - 4/9 y x + 7 y z - 49/3 x y z + 54 + + 14 3 3 2 2 2 3 + + -- y x + 56/9 z y x - 1/3 y - 4 y z + 7/18 y - 98/9 z y x + 27 + + 2 2 2 2 3 2 2 3 + - 98/9 x y z + 7/9 x y - 16/3 z y x , COEFF(1, 0, 2) = - 28/3 z y x + + 2 3 14 3 2 2 2 2 + + 16/3 z y x - -- y x + 14/3 x y z - 49/9 x y z + 70/9 x y z + 27 + + 2 2 3 2 2 2 3 + - 2/9 x y + 98/9 z y x - 20/3 x y z + 28/9 x y z + 4/9 y x + + 2 2 245 2 2 2 2 2 2 + - 5/9 x y + 7/27 x y - --- x y z - 8/3 x y z + 35/3 x y z + 18 + + 3 35 2 2 2 + - 56/9 z y x + -- x y, COEFF(2, 0, 2) = 1/3 x y z - 7/36 x y + 54 + + 2 2 2 343 2 3 2 3 + - 7/18 x y z - 7/12 x y z + 1/36 x y - --- z y x - 7/36 y x + 72 + + 2 2 2 2 49 3 49 2 2 2 2 2 + - 7/216 x y + 2 x y z + 1/6 x y + --- y x + -- x y z - 7/2 x y z + 216 12 + + 49 3 2 49 2 2 3 49 2 2 3 + + -- z y x - 7/3 x y z + -- x y z - 7/3 z y x + -- z y x , + 18 72 12 + + 2 2 2 3 2 3 + COEFF(3, 0, 2) = 7/12 x y z - 7/18 z y x + 7/216 x y - 7/216 y x + + 49 2 2 2 3 2 2 49 2 3 2 3 + - -- x y z + 1/36 y x - 1/3 x y z + -- z y x + 1/3 z y x + 72 72 + + 2 2 2 3 2 2 35 2 2 + + 7/18 x y z - 7/12 z y x - 1/36 x y , COEFF(-2, 1, 2) = - -- x y z + 36 + + 2 3 2 3 2 2 35 2 3 + + 5/9 x y z - 5/18 z y x + 1/3 z y x - 7/12 x y z + -- z y x + 72 + + 2 2 2 3 3 2 2 2 2 2 + + 1/3 x y z - 7/12 z y x - 1/18 z x + 7/6 x y z - 2/3 x y z + + 2 3 2 3 2 + - 1/216 x - 1/18 x z + 7/72 z x + 1/36 x y - 1/216 x + 1/108 x + + 2 2 2 2 3 35 2 2 2 + - 7/36 x z + 1/9 x z + 1/36 y x - 5/18 x y z + -- x y z - 1/18 x y + 72 + + 2 3 2 + - 5/216 x y + 5/108 x y - 5/216 y x + 7/72 x z , COEFF(-1, 1, 2) = + + 175 2 2 2 35 3 2 3 2 2 + --- x y z - 25/6 x y z + -- z y x - 7/3 z y x + 14/3 x y z + 24 18 + + 245 2 3 2 49 2 2 3 3 2 2 2 + - --- z y x - 8/3 x y z + -- z y x + 7/18 z x - 35/4 x y z + 72 12 + + 2 2 49 2 3 2 3 2 + + 5 x y z + 1/27 x + 4/9 x z - -- z x - 2/9 x y + 7/216 x - 5/72 x + 72 + + 35 2 2 2 2 3 2 2 2 + + -- x z - 5/6 x z - 7/36 y x + 20/9 x y z - 35/9 x y z + 5/12 x y + 24 + + 25 2 35 3 2 245 2 2 + + 5/27 x y - -- x y + --- y x - 7/9 x z , COEFF(0, 1, 2) = - --- x y z + 72 216 18 + + 2 3 2 3 2 3 2 2 3 + + 70/9 x y z - 40/9 z y x + 16/3 z y x + 70/9 z y x - 28/3 z y x + + 3 2 2 2 2 2 2 2 2 + - 8/9 z x - 7 y z + 49/3 x y z - 28/3 x y z + 4 y z - 10/3 y z + + 2 2 3 3 2 2 + - 5/18 y - 2/3 z + 7/6 z + 14/9 z x - 2/27 x + 7/54 x + 1/3 y + + 49 2 2 2 2 3 2 2 35 2 10 3 + - -- x z + 14/9 x z + 4/9 y x - 7/9 x y + -- x y - -- y x + 18 54 27 + + 2 175 2 2 2 + + 35/6 y z - 1/18, COEFF(1, 1, 2) = --- x y z - 50/9 x y z + 18 + + 3 2 3 2 2 2 3 2 + + 40/9 z y x - 16/3 z y x - 14/3 x y z - 70/9 z y x + 8/3 x y z + + 2 2 3 3 2 2 2 2 2 + + 28/3 z y x + 8/9 z x - 35/3 x y z + 20/3 x y z - 1/27 x + + 2 3 2 3 2 35 2 2 + - 4/9 x z - 14/9 z x + 2/9 x y + 2/27 x - 5/54 x + -- x z + 18 + + 2 2 3 2 2 2 + - 10/9 x z - 4/9 y x - 20/9 x y z + 35/9 x y z + 5/9 x y - 5/27 x y + + 25 2 10 3 2 35 2 2 2 + - -- x y + -- y x + 7/9 x z , COEFF(2, 1, 2) = - -- x y z + 5/3 x y z + 54 27 12 + + 35 3 2 3 2 2 245 2 3 2 + - -- z y x + 7/3 z y x + 7/12 x y z + --- z y x - 1/3 x y z + 18 72 + + 49 2 2 3 3 2 2 2 2 2 + - -- z y x - 7/18 z x + 7/2 x y z - 2 x y z + 1/216 x + 1/18 x z + 12 + + 49 2 3 2 3 2 2 2 2 + + -- z x - 1/36 x y - 7/216 x + 1/36 x - 7/12 x z + 1/3 x z + 72 + + 2 3 35 2 2 2 2 + + 7/36 y x + 5/18 x y z - -- x y z - 1/6 x y + 5/216 x y + 5/36 x y + 72 + + 35 3 2 3 2 3 + - --- y x - 7/72 x z , COEFF(3, 1, 2) = 1/18 z x - 1/3 z y x + 216 + + 3 2 2 2 35 2 3 2 3 + + 1/216 x - 5/18 x y z + 1/36 x y - -- z y x - 7/72 z x + 72 + + 3 2 2 3 2 2 2 2 3 + + 5/216 y x + 7/12 z y x - 5/216 x y - 7/12 x y z + 5/18 z y x + + 2 3 2 35 2 2 2 2 2 + - 1/36 y x - 1/216 x + -- x y z + 7/72 x z - 1/18 x z + 72 + + 2 2 2 2 2 3 + + 1/3 x y z, COEFF(-2, 2, 2) = 7/24 x y z - 1/6 x y z + 1/12 z y x + + 2 3 49 2 2 2 3 2 49 2 2 3 + - 7/48 z y x + --- x y z - 7/48 z y x - 7/48 x y z + --- z y x + 192 192 + + 3 49 2 2 2 2 2 + + 1/144 z x - -- x y z + 7/24 x y z + 1/1728 x + 1/144 x z + 96 + + 2 3 2 3 2 2 2 + - 7/576 z x - 7/576 x y + 1/1728 x - 1/864 x + 7/288 x z + + 2 2 3 2 2 2 + - 1/72 x z - 7/576 y x + 1/12 x y z - 7/48 x y z + 7/288 x y + + 2 3 2 + + 1/144 x y - 1/72 x y + 1/144 y x - 7/576 x z , COEFF(-1, 2, 2) = + + 35 2 2 2 3 49 2 3 49 2 2 + - -- x y z + 5/4 x y z - 7/12 z y x + -- z y x - -- x y z + 16 48 24 + + 49 2 3 2 343 2 2 3 3 245 2 2 2 + + -- z y x + 7/6 x y z - --- z y x - 7/144 z x + --- x y z + 48 192 64 + + 35 2 2 49 2 3 2 3 + - -- x y z - 1/216 x - 1/18 x z + --- z x + 7/72 x y - 7/1728 x + 16 576 + + 2 35 2 2 2 49 2 3 2 + + 5/576 x - --- x z + 5/48 x z + --- y x - 2/3 x y z + 7/6 x y z + 192 576 + + 35 2 2 2 3 2 + - --- x y - 1/18 x y + 5/48 x y - 7/144 y x + 7/72 x z , + 192 + + 49 2 2 2 3 2 3 + COEFF(0, 2, 2) = -- x y z - 7/3 x y z + 4/3 z y x - 7/3 z y x + 12 + + 2 3 49 2 2 3 3 49 2 2 343 2 2 2 + - 7/3 z y x + -- z y x + 1/9 z x + -- y z - --- x y z + 12 16 48 + + 49 2 2 2 2 2 3 + + -- x y z - 7/4 y z + y z + 1/12 y + 1/12 z - 7/48 z - 7/36 z x + 12 + + 3 2 2 49 2 2 2 2 3 + + 1/108 x - 7/432 x - 7/48 y + --- x z - 7/36 x z - 7/36 y x + 144 + + 49 2 2 2 3 2 + + --- x y - 7/36 x y + 1/9 y x - 7/4 y z + 1/144, COEFF(1, 2, 2) = + 144 + + 35 2 2 2 3 2 3 49 2 2 + - -- x y z + 5/3 x y z - 4/3 z y x + 7/3 z y x + -- x y z + 12 24 + + 2 3 2 49 2 2 3 3 245 2 2 2 + + 7/3 z y x - 7/6 x y z - -- z y x - 1/9 z x + --- x y z + 12 48 + + 35 2 2 2 3 2 3 + - -- x y z + 1/216 x + 1/18 x z + 7/36 z x - 7/72 x y - 1/108 x + 12 + + 2 35 2 2 2 2 3 2 + + 5/432 x - --- x z + 5/36 x z + 7/36 y x + 2/3 x y z - 7/6 x y z + 144 + + 35 2 2 2 3 2 + - --- x y + 1/18 x y + 5/36 x y - 1/9 y x - 7/72 x z , COEFF(2, 2, 2) + 144 + + 2 2 2 3 49 2 3 49 2 2 + = 7/8 x y z - 1/2 x y z + 7/12 z y x - -- z y x - --- x y z + 48 192 + + 49 2 3 2 343 2 2 3 3 49 2 2 2 + - -- z y x + 7/48 x y z + --- z y x + 7/144 z x - -- x y z + 48 192 32 + + 2 2 49 2 3 2 3 + + 7/8 x y z - 1/1728 x - 1/144 x z - --- z x + 7/576 x y + 7/1728 x + 576 + + 2 2 2 2 49 2 3 2 + - 1/288 x + 7/96 x z - 1/24 x z - --- y x - 1/12 x y z + 7/48 x y z + 576 + + 2 2 2 3 2 + + 7/96 x y - 1/144 x y - 1/24 x y + 7/144 y x + 7/576 x z , + + 2 2 3 2 3 + COEFF(3, 2, 2) = 1/144 x y + 1/1728 x - 1/144 z x + 7/576 z x + + 2 3 2 2 2 3 49 2 2 3 + + 7/48 z y x - 7/48 x y z + 1/12 x y z - 1/12 z y x - --- z y x + 192 + + 49 2 2 2 2 2 3 2 3 2 + + --- x y z - 7/576 x y - 1/144 y x + 7/48 z y x + 1/144 x z + 192 + + 2 3 2 2 2 2 3 + + 7/576 y x - 7/576 x z - 7/48 x y z - 1/1728 x , COEFF(-2, 3, 2) = + + 3 2 2 2 2 2 2 2 2 + - 1/864 y x - 7/144 x y z + 7/96 x y z - 7/192 x y z + 1/36 x y z + + 2 2 2 3 3 2 + - 1/288 x y + 1/48 z y x - 1/864 x y - 1/72 z y x + 1/48 x y z + + 2 2 2 3 2 3 2 + - 1/24 x y z + 1/576 y x - 1/72 x y z + 7/288 z y x + 1/432 x y + + 2 2 2 2 3 + + 7/288 x y z + 1/576 x y - 7/192 z y x , COEFF(-1, 3, 2) = + + 2 2 3 3 3 35 2 2 2 + - 7/36 x y z - 7/48 z y x + 7/864 y x + 7/72 z y x - -- x y z + 64 + + 2 2 49 2 3 2 2 2 + + 1/108 x y + 5/16 x y z - --- z y x + 5/192 x y - 1/6 x y z + 288 + + 49 2 2 3 2 2 2 35 2 2 2 + + --- z y x - 5/24 x y z + 7/24 x y z + -- x y z - 5/288 x y + 192 96 + + 2 3 2 2 2 + - 7/576 y x + 1/9 x y z - 1/72 x y , COEFF(0, 3, 2) = - 7/144 x y + + 2 2 2 2 3 2 3 2 2 3 + + 1/48 y - 7/12 x y z + 1/3 z y x + 1/36 y x - 7/12 z y x + + 49 2 2 2 2 3 2 2 49 2 2 + + -- x y z + 7/24 y z - 2/9 z y x - 7/16 y z - -- x y z + 48 72 + + 2 2 3 2 + + 7/18 x y z - 1/6 y z + 1/4 y z - 1/72 y - 1/54 y x + 7/216 x y + + 2 3 2 2 3 2 2 2 + + 7/18 z y x , COEFF(1, 3, 2) = 7/12 z y x + 1/72 x y + 5/144 x y + + 2 2 2 3 3 + + 7/36 x y z - 1/108 x y - 5/216 x y - 7/18 z y x + 2/9 z y x + + 2 2 3 2 2 3 2 2 + - 5/18 x y z - 1/3 z y x + 1/6 x y z - 1/36 y x - 7/24 x y z + + 3 35 2 2 2 35 2 2 2 2 + + 1/54 y x - -- x y z - 1/9 x y z + -- x y z + 5/12 x y z, + 48 72 + + 2 3 2 2 2 2 + COEFF(2, 3, 2) = 7/48 z y x - 1/96 x y - 7/48 x y z + 1/864 x y + + 3 2 2 2 2 2 + + 1/72 x y z - 7/864 y x + 1/12 x y z + 1/144 x y + 7/32 x y z + + 2 2 2 3 3 2 2 + - 7/288 x y z - 1/48 x y z + 7/576 y x - 7/72 z y x - 1/8 x y z + + 49 2 2 3 49 2 3 2 2 2 + - --- z y x + --- z y x + 7/192 x y z - 1/576 x y , COEFF(3, 3, 2) + 192 288 + + 2 2 2 3 3 2 3 + = - 1/864 x y - 1/72 x y z - 1/576 y x + 1/72 z y x - 7/288 z y x + + 2 2 2 2 3 2 2 2 + + 7/288 x y z + 1/48 x y z + 1/864 y x - 7/192 x y z + + 2 3 2 2 2 2 3 + - 1/48 z y x + 1/576 x y + 7/192 z y x , COEFF(-2, -2, 3) = + + 2 2 2 2 2 2 2 3 + 1/96 x y z - 1/192 x y z + 1/144 x y z + 1/108 x y z + 1/864 z x + + 2 2 2 3 2 2 3 + + 1/288 x y z - 1/192 z y x + 1/288 x z - 1/216 x y z - 1/216 z y x + + 2 3 2 2 2 3 2 + + 1/864 x z - 1/576 z x - 1/72 x y z + 1/288 z y x - 1/432 x z + + 2 2 2 2 3 + - 1/144 x y z - 1/576 x z + 1/144 z y x , COEFF(-1, -2, 3) = + + 2 3 2 3 2 2 + - 7/144 z y x + 5/288 x z + 7/216 z y x + 1/72 x z - 1/36 x y z + + 2 2 2 3 2 2 3 + - 5/64 x y z - 7/864 z x - 1/18 x y z - 7/288 z y x + + 2 2 3 2 2 2 2 2 3 + + 7/192 z y x + 5/96 x y z - 1/108 x z + 1/24 x y z + 7/576 z x + + 2 2 2 2 2 + - 5/72 x y z - 5/192 x z + 5/48 x y z + 1/27 x y z, COEFF(0, -2, 3) + + 2 2 2 3 2 3 + = 1/24 y z - 1/18 y z - 7/216 x z - 1/36 z x + 1/12 y z + 1/54 z x + + 2 2 3 2 2 3 2 2 2 2 2 + + 7/144 x z - 2/27 z y x - 1/12 z y x - 7/36 x y z + 7/48 x y z + + 2 2 2 2 2 3 2 3 + - 7/72 x y z - 1/48 z + 7/54 x y z + 1/18 z y x + 1/9 z y x + + 2 2 2 3 + - 1/16 y z + 1/72 z, COEFF(1, -2, 3) = - 5/54 x y z + 2/27 z y x + + 2 3 2 2 3 2 + - 1/18 z y x + 5/36 x y z - 1/54 z x + 5/216 x z + 1/108 x z + + 2 3 2 2 2 2 3 2 2 2 2 + + 1/36 z x + 5/72 x y z + 1/12 z y x - 5/48 x y z + 1/18 x y z + + 2 3 2 2 2 2 + - 1/9 z y x - 1/72 x z - 1/24 x y z - 1/27 x y z + 1/36 x y z + + 2 2 2 2 + - 5/144 x z , COEFF(2, -2, 3) = - 1/144 x y z + 1/36 x y z + + 2 3 2 3 2 3 2 2 + + 7/288 z y x - 7/576 z x - 1/864 x z + 7/144 z y x - 1/48 x y z + + 2 2 2 3 2 2 2 + + 1/32 x y z - 7/216 z y x + 1/576 x z + 1/192 x y z + 1/216 x y z + + 2 2 2 2 3 2 2 2 3 + + 1/96 x z - 7/192 z y x - 1/288 x y z - 1/24 x y z + 7/864 z x + + 2 3 2 2 2 2 + - 1/144 x z, COEFF(3, -2, 3) = - 1/864 z x + 1/864 x z - 1/192 x y z + + 2 3 2 2 2 2 3 2 + - 1/144 z y x + 1/288 x y z + 1/192 z y x - 1/216 x y z + + 2 3 3 2 2 2 3 2 2 + + 1/576 z x + 1/216 z y x - 1/576 x z - 1/288 z y x + 1/144 x y z + + 2 2 3 2 2 2 + , COEFF(-2, -1, 3) = - 5/96 x y z + 1/72 z x + 7/192 x y z + 1/54 x z + + 2 2 2 3 3 + + 5/144 x y z - 7/288 x y z + 1/72 x z - 7/288 z y x - 1/108 z x + + 2 2 2 3 3 2 2 2 + - 1/108 x z + 7/144 x y z - 5/96 z y x + 5/144 z y x - 7/96 x y z + + 2 2 2 2 2 2 2 3 + - 5/72 x y z - 1/36 x z + 5/48 x y z + 7/192 z y x , + + 35 3 35 2 3 2 2 2 + COEFF(-1, -1, 3) = - --- z y x + -- z y x + 7/36 x y z + 5/24 x z + 144 96 + + 25 2 2 2 3 35 2 2 2 2 + - -- x y z + 5/12 x y z + 7/108 z x - -- x y z - 7/24 x y z + 32 96 + + 2 3 25 2 2 49 2 3 + - 7/72 z x - 5/18 x y z + -- x y z - 5/36 x z + --- z y x + 48 288 + + 49 2 2 3 2 35 2 2 2 + - --- z y x - 1/9 x z + 2/27 x z + -- x y z , COEFF(0, -1, 3) = + 192 64 + + 2 2 2 2 3 35 2 2 3 + - 7/24 y z - 1/9 z - 5/8 y z + 7/12 z y x + -- x y z - 4/27 z x + 24 + + 49 2 2 2 3 3 2 2 2 + + -- x y z + 2/9 z x + 5/9 z y x - 7/18 x z + 7/27 x z + 72 + + 2 3 2 2 3 35 2 2 2 + - 7/18 z y x + 1/6 z - 5/6 z y x + 5/12 y z - -- x y z + 7/16 y z + 36 + + 49 2 2 2 25 2 35 2 2 2 + - -- x y z , COEFF(1, -1, 3) = - 2/27 x z + -- x y z + -- x y z + 48 36 48 + + 25 2 2 2 3 2 + + 5/18 x y z - -- x y z - 5/27 x z - 5/9 z y x - 7/36 x y z + 24 + + 2 2 3 2 3 2 2 3 + - 5/12 x y z + 1/9 x z + 4/27 z x + 5/6 z y x - 7/12 z y x + + 2 2 2 3 2 2 2 3 35 2 2 + + 7/24 x y z + 7/18 z y x + 5/18 x z - 2/9 z x - -- x y z, + 72 + + 3 35 2 3 2 + COEFF(2, -1, 3) = - 7/108 z x - -- z y x - 5/144 x y z - 1/72 x z + 96 + + 35 3 2 2 2 2 + + --- z y x + 1/108 x z + 7/288 x y z + 1/18 x z + 5/16 x y z + 144 + + 2 2 2 2 3 2 2 2 2 + + 7/48 x y z - 5/24 x y z + 7/72 z x - 7/32 x y z + 5/96 x y z + + 49 2 2 3 2 2 49 2 3 2 2 + + --- z y x - 1/12 x z - --- z y x - 7/192 x y z , COEFF(3, -1, 3) + 192 288 + + 2 2 2 3 2 2 2 2 3 + = - 7/288 x y z + 5/96 z y x - 5/96 x y z - 1/108 x z - 1/72 z x + + 2 2 2 2 2 3 3 2 + + 7/192 x y z + 1/72 x z + 1/108 z x - 5/144 z y x + 5/144 x y z + + 2 3 2 2 3 + + 7/288 z y x - 7/192 z y x , COEFF(-2, 0, 3) = - 7/108 x y z + + 2 2 3 2 2 2 2 + + 1/18 x y z + 1/18 z y x - 7/36 x y z + 7/72 x y z + 7/54 x y z + + 2 2 2 3 3 2 2 2 2 2 + - 1/9 x y z + 7/72 z y x - 7/108 z y x + 1/6 x y z - 1/12 x y z + + 2 2 3 35 2 49 2 3 2 2 2 + - 1/12 z y x , COEFF(-1, 0, 3) = - -- x y z - -- z y x - 5/4 x y z + 36 72 + + 2 2 2 49 3 35 2 2 2 2 3 + + 5/6 x y z - 7/9 x y z + --- z y x + -- x y z + 7/12 z y x + 108 24 + + 14 2 2 2 3 2 + + -- x y z + 2/3 x y z - 7/18 z y x - 4/9 x y z, COEFF(0, 0, 3) = + 27 + + 2 3 2 2 2 2 3 28 3 49 2 2 + 8/9 z y x + 7/3 x y z + 14/9 z y x - -- z y x - -- x y z + 27 18 + + 2 2 2 2 3 2 2 2 2 + - 14/9 x y z - 4/3 z y x - 7/9 y z - y z + 7/6 y z + 2/3 y z + + 49 2 35 2 2 2 2 3 14 + + -- x y z, COEFF(1, 0, 3) = -- x y z + 4/3 z y x - -- x y z + 27 18 27 + + 2 2 35 2 2 3 2 2 + + 4/9 x y z + 7/9 x y z - -- x y z - 14/9 z y x - 2/3 x y z + 27 + + 2 3 2 2 2 2 2 28 3 + - 8/9 z y x - 5/3 x y z + 10/9 x y z + -- z y x , COEFF(2, 0, 3) = + 27 + + 2 2 2 49 2 3 2 + 7/108 x y z + 1/12 x y z - 1/18 x y z + -- z y x + 7/18 x y z + 72 + + 2 2 2 2 2 3 2 3 49 3 + - 1/3 x y z - 7/72 x y z - 7/12 z y x + 7/18 z y x - --- z y x + 108 + + 2 2 2 2 2 2 3 + - 7/12 x y z + 1/2 x y z , COEFF(3, 0, 3) = - 1/18 z y x + + 2 3 2 2 2 2 2 2 2 + - 7/72 z y x + 1/18 x y z - 1/12 x y z + 7/72 x y z + + 2 2 3 2 3 + + 1/12 z y x - 7/108 x y z + 7/108 z y x , COEFF(-2, 1, 3) = + + 2 3 2 2 2 2 2 3 + - 1/54 x z + 1/108 z x - 5/72 x y z - 1/6 x y z - 1/72 z x + + 2 3 2 2 2 3 2 2 2 3 + - 5/72 z y x + 1/9 x y z - 1/18 z y x - 1/18 x y z + 1/12 z y x + + 3 2 2 2 2 + + 5/108 x y z + 1/108 x z + 5/108 z y x + 1/12 x y z + 5/36 x y z + + 2 2 2 2 35 3 + - 5/54 x y z + 1/36 x z - 1/72 x z , COEFF(-1, 1, 3) = - --- z y x + 108 + + 2 2 2 2 2 2 3 + - 2/27 x z - 5/6 x y z + 4/9 x y z + 1/9 x z + 5/36 x z + 7/72 z x + + 2 3 25 2 3 2 2 35 2 3 + + 7/18 z y x + -- x y z - 7/108 z x - 2/3 x y z + -- z y x + 36 72 + + 10 25 2 2 2 2 2 2 2 2 + - -- x y z - -- x y z - 5/24 x z + 5/4 x y z + 5/9 x y z + 27 24 + + 2 2 3 2 2 3 2 3 2 + - 7/12 z y x , COEFF(0, 1, 3) = 4/3 z y x - 8/9 z y x - 1/6 z + + 2 2 2 2 3 20 3 2 2 35 2 2 + + y z - 5/6 y z - 10/9 z y x + -- z y x + 7/18 x z + -- x y z + 27 18 + + 35 2 2 2 3 2 2 2 + - -- x y z - 2/3 y z - 2/9 z x - 7/3 x y z + 1/9 z + 5/9 y z + 27 + + 3 2 2 2 2 + + 4/27 z x + 14/9 x y z - 7/27 x z, COEFF(1, 1, 3) = - 5/9 x y z + + 2 3 2 2 2 2 2 3 2 2 + + 8/9 z y x - 1/9 x z + 5/3 x y z + 10/9 z y x - 5/18 x z + + 10 25 2 2 2 2 2 2 2 3 + + -- x y z - -- x y z + 2/3 x y z - 10/9 x y z + 2/9 z x + 27 18 + + 2 25 2 2 2 3 2 3 + + 5/27 x z + -- x y z - 4/3 z y x - 4/9 x y z - 4/27 z x + 27 + + 20 3 2 35 3 + - -- z y x + 2/27 x z, COEFF(2, 1, 3) = 1/18 x y z + --- z y x + 27 108 + + 35 2 3 2 3 2 + - -- z y x + 1/72 x z - 1/108 x z + 7/108 z x - 5/18 x y z + 72 + + 2 2 2 3 2 2 3 + + 1/12 x z - 7/18 z y x - 5/108 x y z - 1/18 x z - 7/72 z x + + 2 2 2 2 2 2 2 2 2 2 2 3 + + 5/12 x y z - 1/2 x y z + 1/3 x y z - 1/12 x y z + 7/12 z y x + + 2 2 2 2 3 + + 5/72 x y z , COEFF(3, 1, 3) = - 1/18 x y z + 1/18 z y x + + 2 3 3 2 3 2 2 2 2 3 + + 5/72 z y x - 1/108 z x + 1/72 z x - 5/72 x y z - 1/12 z y x + + 2 2 2 3 2 2 2 2 + + 1/108 x z - 1/72 x z - 5/108 z y x + 5/108 x y z + 1/12 x y z , + + 2 2 2 2 2 2 2 + COEFF(-2, 2, 3) = - 1/24 x y z + 1/36 x y z + 1/432 x z + 7/96 x y z + + 2 2 3 3 2 2 2 + - 7/192 z y x - 1/72 z y x - 7/192 x y z - 1/72 x y z + 7/288 x y z + + 2 3 2 3 2 3 2 + + 1/48 z y x + 7/288 z y x + 1/576 z x + 1/48 x y z - 1/864 x z + + 3 2 2 2 2 2 + - 1/864 z x - 7/144 x y z - 1/288 x z + 1/576 x z , COEFF(-1, 2, 3) + + 49 2 3 2 2 2 2 2 + = - --- z y x + 7/24 x y z - 5/24 x y z + 1/108 x z + 5/192 x z + 288 + + 3 2 49 2 2 3 35 2 2 2 2 + + 7/72 z y x - 7/36 x y z + --- z y x - -- x y z - 5/288 x z + 192 64 + + 35 2 2 2 3 2 3 2 + + -- x y z - 7/576 z x + 1/9 x y z - 7/48 z y x - 1/72 x z + 96 + + 3 2 2 2 2 2 + + 7/864 z x + 5/16 x y z - 1/6 x y z , COEFF(0, 2, 3) = - 7/144 x z + + 2 2 2 3 3 2 3 + + 7/24 y z - 7/12 z y x - 1/6 y z - 2/9 z y x + 1/3 z y x - 1/72 z + + 2 3 49 2 2 3 2 2 + + 7/18 z y x - -- x y z - 1/54 z x + 7/18 x y z + 1/48 z + 72 + + 2 2 2 2 3 49 2 2 2 2 + + 7/216 x z - 7/16 y z + 1/36 z x + -- x y z + 1/4 y z + 48 + + 2 2 2 35 2 2 2 2 + - 7/12 x y z , COEFF(1, 2, 3) = 7/36 x y z - -- x y z + 1/72 x z + 48 + + 2 2 2 3 3 + - 1/108 x z - 5/216 x z - 5/18 x y z - 1/3 z y x + 1/54 z x + + 35 2 2 2 3 2 2 3 + + -- x y z - 7/18 z y x - 7/24 x y z + 2/9 z y x - 1/9 x y z + 72 + + 2 2 2 3 2 2 2 3 2 2 + + 5/12 x y z - 1/36 z x + 1/6 x y z + 7/12 z y x + 5/144 x z , + + 2 2 3 2 2 2 + COEFF(2, 2, 3) = - 1/96 x z - 7/72 z y x - 7/48 x y z - 1/576 x z + + 2 3 2 3 49 2 3 + + 7/48 z y x - 1/48 x y z - 7/864 z x + --- z y x + 1/864 x z + 288 + + 2 2 2 2 2 2 2 2 2 + + 1/12 x y z + 7/32 x y z + 1/144 x z + 7/192 x y z - 1/8 x y z + + 2 3 2 49 2 2 3 + + 1/72 x y z + 7/576 z x - 7/288 x y z - --- z y x , COEFF(3, 2, 3) + 192 + + 2 2 3 2 2 3 + = 7/288 x y z + 1/72 z y x - 1/864 x z - 1/72 x y z + 1/864 z x + + 2 2 2 2 3 2 3 2 3 + - 7/192 x y z - 7/288 z y x - 1/576 z x - 1/48 z y x + + 2 2 3 2 2 2 2 + + 7/192 z y x + 1/48 x y z + 1/576 x z , COEFF(-2, 3, 3) = + + 2 2 2 2 2 3 + - 1/216 x y z + 1/432 x y z + 1/192 x y z - 1/288 x y z - 1/288 z y x + + 2 2 3 2 2 2 2 3 2 2 + + 1/192 z y x - 1/96 x y z - 1/288 z y x + 1/144 x y z + + 2 2 3 2 + + 1/144 x y z + 1/432 z y x - 1/288 x y z, COEFF(-1, 3, 3) = + + 2 3 2 3 2 2 2 2 + 7/288 z y x + 7/288 z y x - 1/24 x y z + 5/144 x y z + 1/36 x y z + + 2 2 3 2 2 2 2 2 2 2 + - 7/192 z y x + 5/64 x y z - 5/96 x y z - 5/96 x y z + + 2 3 3 + + 1/36 x y z - 7/432 z y x - 1/54 x y z, COEFF(0, 3, 3) = 1/27 z y x + + 2 2 2 2 3 2 3 2 + + 1/36 y z + 1/16 y z + 1/12 z y x - 1/18 z y x - 1/24 y z + + 2 2 3 2 2 2 2 2 2 2 + - 1/24 y z - 1/18 z y x + 7/72 x y z + 7/72 x y z - 7/48 x y z + + 2 2 3 2 2 3 + - 7/108 x y z, COEFF(1, 3, 3) = 1/18 z y x - 1/12 z y x + + 2 2 2 3 2 2 2 2 3 + - 5/72 x y z - 1/36 x y z - 1/27 z y x + 5/48 x y z + 1/18 z y x + + 2 2 2 2 2 2 + + 1/24 x y z + 5/108 x y z - 5/72 x y z - 1/36 x y z + 1/54 x y z, + + 2 2 3 2 2 + COEFF(2, 3, 3) = 1/288 x y z - 7/288 z y x + 1/48 x y z + + 2 2 2 3 2 2 + - 1/32 x y z + 7/432 z y x - 1/432 x y z - 1/192 x y z + + 2 3 2 2 3 2 2 2 + - 7/288 z y x + 7/192 z y x + 1/48 x y z - 1/72 x y z + + 2 2 3 + + 1/288 x y z , COEFF(3, 3, 3) = 1/432 x y z - 1/432 z y x + + 2 2 2 2 2 2 3 2 2 + + 1/192 x y z - 1/288 x y z + 1/288 z y x - 1/288 x y z + + 2 3 2 2 3 + + 1/288 z y x - 1/192 z y x ] + +> print_coeff__lc_of_data(%, "coeff_dyz_", "fp", +> "3d.coeffs/3d.cube.order3/coeff-dyz.compute.c"); +bytes used=35269803912, alloc=56350640, time=11134.13 +bytes used=35270804184, alloc=56350640, time=11134.23 +bytes used=35271804516, alloc=56350640, time=11134.33 +bytes used=35272804868, alloc=56350640, time=11134.43 +bytes used=35273805212, alloc=56350640, time=11134.53 +bytes used=35274805724, alloc=56350640, time=11134.63 +bytes used=35275805960, alloc=56350640, time=11134.73 +bytes used=35276806360, 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- 1/144 z y x + 1/288 z y x , + + 3 3 2 3 2 + COEFF(-1, -2, -2) = - 7/288 z y x + 7/144 z y x + 5/96 x y z + + 3 2 3 2 3 2 + + 1/54 y x - 5/144 x y - 5/144 y x + 7/432 y x - 1/27 x y + + 3 2 2 2 3 + - 1/36 x y z + 5/96 z y x + 1/54 x y - 5/48 x y z - 1/36 z y x + + 3 2 2 3 2 2 3 3 + - 7/288 z y x + 1/18 x y z - 7/216 y x + 5/72 x y + 7/432 y x , + + 3 2 3 3 3 + COEFF(0, -2, -2) = - 1/36 y + 1/18 y + 1/18 z y x - 1/27 y x + + 3 2 2 2 3 3 3 2 + - 7/72 z y x - 7/54 x y - 1/36 y - 1/27 y x + 1/24 y z + 7/108 y x + + 3 3 2 2 2 2 + + 1/18 z y x + 1/24 z y + 7/108 x y - 1/12 y z + 7/36 x y z + + 2 3 2 2 3 3 3 + - 1/9 z y x - 7/72 x y z + 2/27 y x , COEFF(1, -2, -2) = 1/27 y x + + 2 2 3 2 3 2 3 + - 5/36 x y z - 1/18 z y x - 1/54 x y - 2/27 y x + 1/9 z y x + + 3 2 2 3 3 3 + + 5/72 z y x + 1/36 x y z - 5/108 x y - 1/18 z y x + 1/27 y x + + 3 2 3 2 2 3 + - 5/108 y x + 1/36 z y x + 5/72 x y z + 1/27 x y - 1/54 y x + + 2 2 2 3 2 2 2 + - 1/18 x y z + 5/54 x y , COEFF(2, -2, -2) = 1/72 y x + 1/24 x y z + + 2 3 3 2 2 2 3 3 3 + + 1/72 x y - 7/432 y x - 1/36 x y - 7/144 z y x + 7/288 z y x + + 2 3 3 2 2 3 + - 1/216 x y - 7/432 y x - 1/48 z y x + 1/144 x y z + 7/288 z y x + + 3 2 3 2 + - 1/288 z y x + 1/432 x y - 1/288 x y z + 7/216 y x - 1/48 x y z + + 3 2 3 2 2 + + 1/432 y x, COEFF(3, -2, -2) = - 1/216 y x - 1/144 x y z + + 3 2 3 3 3 3 3 2 + - 1/432 y x + 1/432 y x - 1/288 z y x + 1/432 y x + 1/288 z y x + + 2 3 3 3 2 2 2 2 + + 1/144 z y x - 1/288 z y x + 1/288 x y z - 1/432 x y + 1/216 x y , + + 2 2 3 2 2 + COEFF(-2, -1, -2) = 1/54 x y - 5/48 x y z - 7/216 y x + 1/18 x y z + + 2 2 2 2 3 3 + + 5/72 x y - 5/144 x y - 1/27 x y - 7/288 z y x + 7/432 y x + + 2 3 2 2 3 2 3 + - 1/36 x y z + 5/96 x y z + 7/144 z y x - 5/144 y x + 5/96 z y x + + 3 3 3 3 3 3 + + 1/54 y x + 7/432 y x - 7/288 z y x - 1/36 z y x , COEFF(-1, -1, -2) + + 49 3 3 35 2 3 2 35 2 3 2 + = - --- y x + --- y x - 5/12 x y z - -- z y x + 5/18 x y + 432 144 96 + + 35 3 2 2 49 3 3 3 2 + + --- y x + 5/18 x y - 4/27 x y + --- z y x - 7/54 y x - 5/12 x y z + 144 288 + + 3 25 2 2 25 2 2 3 + + 7/36 z y x - -- x y + -- x y z - 7/54 y x + 2/9 x y z + 48 32 + + 3 35 3 2 3 3 + + 7/36 z y x - -- z y x , COEFF(0, -1, -2) = - 4/9 z y x + 7/36 y + 96 + + 3 14 2 2 2 3 + + 8/27 y x - -- x y - 5/12 y + 5/8 y z - 1/3 y z - 7/24 z y + 27 + + 3 3 2 3 35 2 2 35 2 2 49 3 2 49 3 2 + + 7/27 y x - 5/9 y x + -- x y - -- x y z - --- y x + -- z y x + 36 24 108 72 + + 2 2 3 3 3 + + 2/9 y + 7/9 x y z + 5/6 z y x - 7/18 z y x , COEFF(1, -1, -2) = + + 2 3 25 2 2 2 3 3 3 + - 5/18 x y + 4/9 z y x + -- x y z + 5/9 y x + 7/18 z y x + 24 + + 3 35 3 2 2 3 + - 8/27 y x - 2/9 x y z + --- y x + 5/12 x y z - 7/36 z y x + 108 + + 3 3 3 2 3 10 2 25 2 2 + - 7/27 y x + 4/27 x y + 7/54 y x - 5/6 z y x + -- x y - -- x y + 27 36 + + 2 35 3 2 49 3 3 35 2 3 + - 5/9 x y z - -- z y x , COEFF(2, -1, -2) = - --- z y x - --- y x + 72 288 144 + + 3 3 2 2 + + 1/36 x y z + 7/54 y x - 7/36 z y x - 1/9 x y - 1/54 x y + 5/144 x y + + 3 2 2 2 35 2 3 49 3 3 3 + - 7/72 y x + 5/24 x y + -- z y x + --- y x - 7/432 y x + 96 432 + + 2 2 3 2 2 2 3 + + 1/6 x y z - 5/96 x y z + 7/48 z y x - 5/16 x y z + 7/288 z y x, + + 2 3 2 2 3 3 3 + COEFF(3, -1, -2) = - 5/96 z y x - 5/144 x y - 1/54 y x + 7/288 z y x + + 2 2 2 2 3 3 2 2 + + 5/96 x y z + 1/54 x y + 5/144 y x + 7/432 y x - 1/36 x y z + + 3 3 3 3 2 + + 1/36 z y x - 7/432 y x - 7/288 z y x , COEFF(-2, 0, -2) = + + 3 3 3 2 2 3 + 1/18 z y x + 1/18 z y x - 1/36 x - 7/72 x y z + 7/108 y x + + 2 2 3 3 2 3 2 2 + + 7/108 x y - 7/72 z y x - 1/27 y x + 1/18 x + 1/24 z x - 7/54 x y + + 3 2 3 3 2 3 3 2 + - 1/9 z y x - 1/36 x + 2/27 y x - 1/27 y x - 1/12 x z + 1/24 x z + + 2 2 2 3 3 35 2 2 + + 7/36 x y z, COEFF(-1, 0, -2) = 7/9 x y z - 7/18 z y x - -- x y z + 24 + + 49 2 3 2 49 2 3 3 3 + + -- z y x + 5/8 x z - --- y x - 7/24 z x + 7/36 x - 1/3 x z + 72 108 + + 3 2 14 2 3 3 2 3 2 + - 5/9 y x - -- x y + 8/27 y x + 5/6 z y x - 4/9 z y x - 5/12 x + 27 + + 35 2 2 3 3 2 + + -- x y + 7/27 y x + 2/9 x, COEFF(0, 0, -2) = 7/9 y - 1/3 + 36 + + 49 2 2 49 2 2 2 3 16 3 3 3 + + -- x y z - -- x y - 7/6 y z - 4/9 y - -- y x + 2/3 z y + 18 27 27 + + 28 3 2 3 3 28 2 3 3 3 2 + + -- y x + 8/9 z y x + 1/2 z + -- y x + 2/3 z x - 4/9 x - 7/6 x z + 27 27 + + 3 2 2 3 2 14 2 + - 14/9 z y x - 14/9 z y x + 7/9 x , COEFF(1, 0, -2) = -- x y + 27 + + 3 2 3 20 3 2 2 3 2 + + 1/3 x z + 4/9 x + 14/9 z y x - -- y x + 5/6 x z + 10/9 z y x + 27 + + 2 3 28 2 3 2 16 3 3 3 + - 7/9 x y z - 2/3 z x - -- y x - 5/9 x + -- y x - 8/27 y x + 27 27 + + 35 2 2 35 2 2 3 3 3 + + -- x y - -- x y z - 2/9 x + 4/9 z y x - 8/9 z y x , + 27 18 + + 2 2 2 2 + COEFF(2, 0, -2) = 1/36 x - 7/18 x y - 1/24 x z + 7/12 x y z + + 3 3 3 2 3 3 49 2 3 + - 1/18 z y x + 1/27 y x - 1/3 z y x + 7/24 z x - 7/36 x + --- y x + 108 + + 2 3 3 2 2 3 3 + + 1/6 x + 7/18 z y x - 7/108 x y + 7/72 x y z - 7/27 y x + + 3 2 2 49 2 3 2 2 + + 2/9 y x - 1/4 x z - -- z y x , COEFF(3, 0, -2) = 7/108 x y + 72 + + 2 2 2 3 2 3 3 2 3 + - 7/72 x y z - 7/108 y x + 7/72 z y x - 1/27 y x - 1/24 z x + + 2 3 2 3 3 2 3 3 3 + + 1/24 x z + 1/18 z y x + 1/27 y x - 1/36 x + 1/36 x - 1/18 z y x + + 3 2 2 3 3 2 + , COEFF(-2, 1, -2) = 1/9 z y x + 5/72 z y x - 1/54 y x + 1/27 x y + + 2 2 3 2 3 3 3 2 3 + - 5/36 x y z - 2/27 y x + 1/27 y x - 1/18 z y x - 5/108 y x + + 3 2 2 + + 1/36 x y z - 1/18 z y x - 5/108 x y - 1/18 x y z - 1/54 x y + + 2 2 3 3 2 3 + + 5/54 x y + 1/27 y x + 5/72 x y z + 1/36 z y x , COEFF(-1, 1, -2) = + + 3 3 3 10 2 25 2 2 3 3 3 2 + - 8/27 y x - 7/27 y x + -- x y + -- x y z + 7/18 z y x + 5/9 y x + 27 24 + + 2 3 2 3 35 2 3 3 + - 5/18 x y - 5/6 z y x - 2/9 x y z + 4/9 z y x + --- y x + 7/54 y x + 108 + + 25 2 2 3 2 35 2 3 + + 4/27 x y - -- x y - 7/36 z y x - 5/9 x y z - -- z y x + 36 72 + + 2 3 2 14 2 35 2 2 + + 5/12 x y z, COEFF(0, 1, -2) = 14/9 z y x + -- x y + -- x y + 27 27 + + 35 2 2 2 3 3 28 3 2 3 + - -- x y z + 10/9 z y x + 4/9 y - -- y x + 1/3 y z + 4/9 z y x + 18 27 + + 3 3 2 3 2 2 + - 8/9 z y x - 7/9 x y z - 2/9 y - 2/3 z y + 5/6 y z - 5/9 y + + 16 3 3 20 2 3 3 20 2 3 3 + + -- y x - -- y x - 8/27 y x , COEFF(1, 1, -2) = -- y x + 8/27 y x + 27 27 27 + + 3 2 16 3 3 2 3 + - 4/9 z y x + 5/9 x y z - -- y x + 2/9 x y z - 10/9 z y x + 27 + + 3 3 20 3 2 10 2 25 2 2 25 2 2 + + 8/9 z y x + -- y x - -- x y - -- x y + -- x y z - 4/27 x y + 27 27 27 18 + + 3 3 10 2 2 3 2 + - 4/9 z y x + 8/27 y x - -- x y + 5/9 x y z - 10/9 z y x , + 27 + + 3 2 2 2 3 2 + COEFF(2, 1, -2) = 1/18 z y x - 5/72 x y z - 5/12 x y z + 1/3 z y x + + 2 3 2 35 2 3 35 2 3 3 3 + - 1/36 x y z + 1/9 x y - 2/9 y x + -- z y x - --- y x + 7/27 y x + 72 108 + + 2 2 3 3 3 2 + + 5/18 x y - 7/54 y x + 7/36 z y x - 1/27 y x + 1/54 x y + 5/108 x y + + 3 3 2 3 3 2 3 + - 7/18 z y x - 1/6 x y z, COEFF(3, 1, -2) = - 1/27 y x - 5/72 z y x + + 2 3 3 3 3 2 2 2 + + 5/108 y x - 1/36 z y x + 1/18 z y x - 5/108 x y + 1/36 x y z + + 3 3 2 3 2 2 2 2 + + 1/54 y x + 1/27 y x - 1/18 z y x - 1/54 x y + 5/72 x y z, + + 2 3 3 3 + COEFF(-2, 2, -2) = - 1/48 x y z - 7/432 y x + 7/288 z y x + + 2 3 3 3 3 2 2 + - 1/48 z y x + 1/432 y x + 7/288 z y x + 1/72 x y + 1/144 x y z + + 3 3 2 3 2 2 2 + - 1/288 z y x - 7/144 z y x - 1/288 x y z + 7/216 y x - 1/36 x y + + 2 3 2 2 2 3 + + 1/72 y x + 1/432 x y + 1/24 x y z - 1/216 x y - 7/432 y x, + + 3 49 3 3 2 3 + COEFF(-1, 2, -2) = 7/54 y x - --- z y x + 7/48 z y x + 1/36 x y z + 288 + + 49 3 3 3 3 2 35 3 2 + + --- y x - 1/54 x y - 7/36 z y x - 7/432 y x - 1/9 x y - --- y x + 432 144 + + 2 2 2 3 35 3 2 2 2 + + 1/6 x y z - 5/16 x y z + 7/288 z y x + -- z y x + 5/24 x y + 96 + + 2 2 3 2 49 3 2 + - 5/96 x y z - 7/72 y x + 5/144 x y, COEFF(0, 2, -2) = - -- z y x + 72 + + 2 3 3 2 2 49 3 2 + + 7/72 x y z + 7/18 z y x + 1/36 y - 7/18 x y - 1/24 y z + --- y x + 108 + + 2 3 2 2 2 3 3 2 3 + - 7/108 x y + 1/27 y x + 7/12 x y z + 1/6 y - 7/27 y x + 2/9 y x + + 3 3 2 3 3 2 + - 7/36 y + 7/24 z y - 1/3 z y x - 1/18 z y x - 1/4 y z, + + 35 3 2 2 3 2 2 35 3 2 + COEFF(1, 2, -2) = -- z y x + 1/3 z y x + 5/18 x y - --- y x + 72 108 + + 2 3 2 2 2 + + 5/108 x y - 1/27 y x + 1/9 x y - 5/72 x y z - 1/6 x y z + + 3 3 2 3 + + 7/36 z y x + 1/54 x y - 7/54 y x - 1/36 x y z - 2/9 y x + + 3 2 2 3 3 3 3 + + 1/18 z y x - 5/12 x y z + 7/27 y x - 7/18 z y x , COEFF(2, 2, -2) + + 49 3 3 3 3 2 2 2 + = - --- y x - 1/432 x y - 7/288 z y x - 7/48 z y x - 1/12 x y + 432 + + 3 2 3 2 3 2 3 + + 7/72 y x - 7/288 z y x - 7/48 z y x - 1/72 x y + 7/432 y x + + 2 2 3 2 2 + + 1/48 x y z + 1/48 x y z + 1/288 x y z + 7/432 y x + 1/8 x y z + + 2 2 3 49 3 3 2 2 + - 1/72 x y + 7/72 y x + --- z y x , COEFF(3, 2, -2) = - 1/48 x y z + 288 + + 3 3 3 2 2 3 2 2 + + 7/432 y x + 7/288 z y x + 1/432 x y - 7/432 y x - 1/288 x y z + + 3 3 3 3 2 2 2 3 + + 1/288 z y x - 7/288 z y x - 1/432 y x + 1/72 x y - 1/72 y x + + 2 3 3 3 2 2 + + 1/48 z y x , COEFF(-2, 3, -2) = 1/432 y x + 1/144 z y x - 1/432 x y + + 3 2 3 3 3 3 2 2 2 2 + - 1/216 y x + 1/432 y x - 1/288 z y x - 1/144 x y z + 1/216 x y + + 2 3 2 2 3 3 + + 1/288 z y x + 1/288 x y z - 1/432 y x - 1/288 z y x, + + 3 3 2 3 3 3 + COEFF(-1, 3, -2) = - 7/432 y x + 1/54 x y - 1/54 y x + 7/288 z y x + + 2 2 3 2 2 2 2 3 + - 1/36 x y z - 7/288 z y x - 5/144 x y + 5/96 x y z + 1/36 z y x + + 3 2 3 2 2 3 2 3 + + 5/144 y x - 5/96 z y x + 7/432 y x , COEFF(0, 3, -2) = - 1/27 y x + + 3 2 2 3 3 3 2 2 2 + - 7/108 y x + 1/18 z y x + 1/27 y x + 7/108 x y + 1/24 y z + + 3 3 2 2 3 2 3 3 + - 1/18 z y x - 7/72 x y z + 7/72 z y x - 1/24 z y + 1/36 y + + 2 3 3 3 2 + - 1/36 y , COEFF(1, 3, -2) = - 1/36 z y x + 1/54 y x - 5/72 z y x + + 3 2 3 3 2 3 2 2 2 + + 5/108 y x + 1/18 z y x - 1/18 z y x - 5/108 x y - 1/54 x y + + 3 3 2 2 2 3 2 + - 1/27 y x + 5/72 x y z + 1/27 y x + 1/36 x y z, COEFF(2, 3, -2) = + + 3 3 3 2 3 2 3 3 + - 7/288 z y x + 1/288 z y x - 7/432 y x + 1/432 x y + 7/432 y x + + 3 3 2 2 2 2 2 2 3 + - 1/432 y x + 1/48 z y x + 1/72 x y - 1/48 x y z + 7/288 z y x + + 2 3 2 3 2 + - 1/288 x y z - 1/72 y x , COEFF(3, 3, -2) = - 1/288 z y x + + 3 3 2 3 2 2 2 3 + + 1/288 z y x - 1/288 z y x + 1/288 x y z + 1/432 y x + + 3 2 3 3 2 2 + + 1/432 y x - 1/432 y x - 1/432 x y , COEFF(-2, -2, -1) = + + 2 3 2 3 2 2 3 + 7/144 x y z - 7/288 x y z - 5/144 y x + 7/144 z y x - 5/144 y x + + 3 3 3 3 3 + + 5/288 y x + 5/288 y x + 5/288 x y - 7/288 z y x - 7/288 z y x + + 2 2 2 3 2 2 2 + - 5/144 x y - 7/72 x y z + 5/288 y x + 7/144 x y z + 5/72 x y + + 2 3 2 3 3 + + 7/144 z y x - 5/144 x y - 7/288 z y x , COEFF(-1, -2, -1) = + + 35 2 25 3 2 49 3 3 35 3 2 3 + - -- x y z + -- y x + --- z y x - 5/36 y x - -- z y x + 7/36 z y x + 96 96 288 96 + + 35 3 3 35 3 25 2 2 25 2 49 3 3 + - --- y x + 7/36 x y z - --- y x - -- x y + -- x y + --- z y x + 288 288 48 96 288 + + 2 35 2 2 2 49 2 3 + - 5/36 x y - 7/18 x y z + -- x y z + 5/18 x y - --- z y x + 48 144 + + 35 2 3 35 3 2 2 + + --- y x , COEFF(0, -2, -1) = - -- y x + 7/12 y z - 7/24 y z + 144 72 + + 35 2 3 2 3 3 3 3 + - -- x y + 5/24 y - 7/18 z y x - 5/9 y x + 5/24 y + 5/18 y x + 72 + + 3 49 3 2 35 2 2 49 2 2 3 3 2 + - 7/24 z y + -- z y x + -- x y - -- x y z - 7/18 z y x - 5/12 y + 72 36 36 + + 3 2 3 49 2 + + 5/18 y x + 7/9 z y x + -- x y z, COEFF(1, -2, -1) = - 7/36 x y z + 72 + + 25 2 2 2 3 35 2 2 2 + - -- x y - 5/18 x y + 5/36 y x + -- x y z + 7/18 x y z + 36 36 + + 3 25 3 2 3 3 2 3 3 + - 7/36 z y x + -- y x + 5/36 x y - 5/18 y x + 5/9 y x + 7/18 z y x + 72 + + 3 3 3 35 2 2 3 35 3 2 + - 5/18 y x + 7/18 z y x - -- x y z - 7/9 z y x - -- z y x + 72 72 + + 25 2 35 3 3 2 2 3 2 + + -- x y, COEFF(2, -2, -1) = --- y x - 7/24 x y z - 5/48 y x + 72 288 + + 2 2 3 49 3 49 3 3 + + 5/144 x y - 7/144 x y z - 5/288 y x - --- z y x - --- z y x + 288 288 + + 35 2 3 2 3 2 2 2 + - --- y x + 7/48 x y z + 7/288 x y z + 7/48 z y x + 5/24 x y + 144 + + 3 49 2 3 35 3 2 + - 5/288 x y + 7/288 z y x + --- z y x + --- y x - 5/48 x y, + 144 288 + + 2 2 2 2 + COEFF(3, -2, -1) = - 5/144 x y - 7/288 x y z + 5/288 x y + + 3 3 3 3 3 2 3 2 2 + + 7/288 z y x + 7/288 z y x - 5/288 y x + 5/144 y x + 7/144 x y z + + 3 2 2 3 3 2 3 + + 5/288 y x - 7/144 z y x - 7/288 z y x - 5/288 y x , + + 49 3 35 2 2 49 3 2 + COEFF(-2, -1, -1) = 7/36 x y z + --- z y x + -- x y z - --- z y x + 288 48 144 + + 2 25 2 3 25 2 2 3 49 3 3 + - 7/18 x y z - 5/36 x y + -- y x - -- x y - 5/36 y x + --- z y x + 96 48 288 + + 25 2 35 2 35 3 35 3 3 3 2 + + -- x y - -- x y z - --- y x - --- y x + 7/36 z y x + 5/18 x y + 96 96 288 288 + + 35 3 2 35 2 3 175 2 2 25 2 + + --- y x - -- z y x , COEFF(-1, -1, -1) = - --- x y z - -- x y + 144 96 32 12 + + 245 2 3 343 3 3 49 3 + - 14/9 x y z + 10/9 x y + --- z y x - --- z y x - -- z y x + 96 288 36 + + 245 3 2 25 2 35 2 125 2 2 175 3 2 35 2 + + --- z y x - -- x y + -- x y z + --- x y - --- y x + -- x y z + 96 12 12 32 96 12 + + 35 3 245 3 3 175 2 3 49 3 35 3 + + -- y x + --- y x - --- y x - -- z y x + -- y x, COEFF(0, -1, -1) + 36 288 96 36 36 + + 2 2 2 49 3 3 + = 25/8 y - 35/8 y z - 5/3 y + 7/3 y z - 49/9 x y z + -- z y x + 18 + + 3 2 3 3 2 3 343 3 2 + + 28/9 z y x + 25/6 y x - 20/9 y x - 35/6 z y x - --- z y x + 72 + + 245 3 2 49 3 35 3 245 2 2 175 2 2 2 + + --- y x + -- z y - -- y + --- x y z - --- x y + 35/9 x y + 72 24 24 24 24 + + 35 3 3 35 2 49 3 35 3 3 + - -- y x , COEFF(1, -1, -1) = - -- x y z + -- z y x + -- y x + 18 12 36 18 + + 245 3 2 125 2 2 25 2 2 3 35 3 + + --- z y x + --- x y + -- x y + 35/6 z y x - -- y x - 10/9 x y + 72 24 12 36 + + 175 2 2 3 2 2 + + 14/9 x y z - --- x y z - 28/9 z y x - 25/9 x y + 35/9 x y z + 24 + + 2 3 175 3 2 49 3 3 3 + - 25/6 y x - --- y x - -- z y x + 20/9 y x , COEFF(2, -1, -1) = + 72 18 + + 175 2 3 35 2 2 25 2 49 3 49 3 2 35 3 + --- y x + -- x y z - -- x y - --- z y x - -- z y x + --- y x + 96 16 96 288 48 288 + + 2 35 3 35 3 2 2 + + 5/36 x y - 7/36 x y z + 5/6 x y - -- y x + -- y x - 7/6 x y z + 36 48 + + 343 3 3 245 3 3 35 2 49 3 25 2 2 245 2 3 + + --- z y x - --- y x + -- x y z + -- z y x - -- x y - --- z y x + 288 288 96 36 16 96 + + 25 2 3 2 3 35 3 2 + , COEFF(3, -1, -1) = - -- y x - 5/36 x y - 7/36 z y x - --- y x + 96 288 + + 3 49 3 3 25 2 2 35 2 3 2 + + 5/36 y x - --- z y x + -- x y + -- z y x + 7/36 x y z + 288 96 96 + + 35 2 2 35 3 3 49 3 2 3 + - -- x y z + --- y x + --- z y x , COEFF(-2, 0, -1) = - 7/24 z x + 96 288 288 + + 2 3 2 49 2 3 3 49 2 + - 5/12 x - 5/9 y x + -- z y x + 5/24 x + -- x y z - 7/24 x z + 72 72 + + 3 2 49 2 2 35 2 2 35 2 3 3 3 + + 7/9 z y x - -- x y z + -- x y - -- y x - 7/18 z y x + 36 36 72 + + 2 3 3 3 3 35 2 + + 7/12 x z - 7/18 z y x + 5/18 y x + 5/18 y x - -- x y + 5/24 x, + 72 + + 343 2 3 2 175 2 2 + COEFF(-1, 0, -1) = - --- z y x - 35/8 x z - --- x y - 5/3 x + 72 24 + + 245 2 2 245 2 3 2 3 2 3 2 + + --- x y z + --- y x + 35/9 x y - 20/9 y x + 25/8 x + 25/6 y x + 24 72 + + 3 2 3 2 35 3 49 3 3 + - 35/6 z y x + 28/9 z y x - 49/9 x y z + 7/3 x z - -- x + -- z y x + 24 18 + + 49 3 35 3 3 3 3 3 2 + + -- z x - -- y x , COEFF(0, 0, -1) = - 56/9 z y x + 98/9 z y x + 24 18 + + 3 3 2 343 2 2 245 2 2 + + 10/3 y + 5/2 - 70/9 y x - --- x y z + --- x y - 7/2 z + 18 18 + + 3 3 3 2 2 3 2 3 + + 40/9 y x - 14/3 z x + 49/6 x z - 35/6 x - 14/3 z y + 98/9 z y x + + 2 2 2 3 3 + - 35/6 y + 49/6 y z - 70/9 y x + 10/3 x , COEFF(1, 0, -1) = + + 2 2 2 3 3 2 3 + 49/9 x y z - 7/3 x z - 35/9 x y + 70/9 y x - 70/9 z y x - 10/3 x + + 175 2 2 3 2 3 3 2 3 + - --- x y + 50/9 y x - 40/9 y x + 25/6 x + 5/3 x - 28/9 z y x + 18 + + 2 2 3 245 2 2 3 3 3 + - 35/6 x z - 98/9 z y x + --- x y z + 56/9 z y x + 20/9 y x + 18 + + 3 343 2 3 3 2 + + 14/3 z x , COEFF(2, 0, -1) = 7/24 x z + --- z y x + 7/3 z y x + 72 + + 49 3 3 35 2 35 3 2 49 3 35 3 3 245 2 3 + - -- z y x + -- x y + -- x - 5/4 x - -- z x + -- y x - --- y x + 18 72 24 24 18 72 + + 3 2 35 2 2 49 2 2 49 2 + + 7/18 z y x + 7/4 x z + -- x y - 5/24 x - -- x y z - -- x y z + 12 12 72 + + 3 3 2 35 2 3 2 3 + - 5/18 y x - 5/3 y x , COEFF(3, 0, -1) = -- y x - 7/24 x z - 5/24 x + 72 + + 3 3 2 3 3 49 2 3 49 2 2 + - 5/18 y x + 5/24 x + 7/18 z y x - -- z y x + -- x y z + 72 72 + + 3 3 2 35 2 2 3 2 + + 7/24 z x + 5/18 y x - -- x y - 7/18 z y x , COEFF(-2, 1, -1) = + 72 + + 35 2 3 3 3 3 25 2 2 3 + - -- x y z + 7/18 z y x - 5/18 y x - -- x y - 5/18 y x + 72 36 + + 2 25 2 3 3 2 3 2 + + 7/18 x y z + 5/36 x y + -- y x + 7/18 z y x - 5/18 x y + 5/9 y x + 72 + + 35 2 3 25 2 35 2 2 3 3 + - -- z y x + -- x y + -- x y z + 5/36 y x - 7/36 x y z - 7/36 z y x + 72 72 36 + + 3 2 2 3 + - 7/9 z y x , COEFF(-1, 1, -1) = - 25/9 x y - 28/9 z y x + 14/9 x y z + + 3 2 175 2 3 49 3 3 49 3 35 3 3 + - 25/6 y x - --- y x - -- z y x + -- z y x - -- y x + 20/9 y x + 72 18 36 36 + + 245 2 3 125 2 2 35 2 3 2 35 3 3 + - 10/9 x y + --- z y x + --- x y - -- x y z + 35/6 z y x + -- y x + 72 24 12 18 + + 25 2 175 2 2 2 2 3 + + -- x y - --- x y z + 35/9 x y z, COEFF(0, 1, -1) = 50/9 y x + 12 24 + + 3 3 3 2 3 2 + - 28/9 z y x + 56/9 z y x + 49/9 x y z - 10/3 y - 35/9 x y + + 3 3 3 2 175 2 2 3 2 + - 40/9 y x - 7/3 y z + 5/3 y - 98/9 z y x - --- x y + 70/9 y x + 18 + + 2 3 2 3 3 2 245 2 2 + + 25/6 y + 14/3 z y - 70/9 z y x + 20/9 y x - 35/6 y z + --- x y z + 18 + + 3 2 2 3 3 3 3 + , COEFF(1, 1, -1) = - 50/9 y x - 50/9 y x + 28/9 z y x + 40/9 y x + + 3 3 125 2 2 2 175 2 2 + - 56/9 z y x + --- x y + 10/9 x y - 35/9 x y z - --- x y z + 18 18 + + 2 3 3 2 3 + + 70/9 z y x - 14/9 x y z - 20/9 y x + 25/9 x y - 20/9 y x + + 3 2 2 3 2 + + 70/9 z y x - 35/9 x y z + 28/9 z y x + 25/9 x y, COEFF(2, 1, -1) = + + 35 3 49 3 35 3 3 3 2 49 3 3 3 + -- y x - -- z y x - -- y x + 5/3 y x + -- z y x + 5/18 y x + 36 36 18 18 + + 3 25 2 2 35 2 245 2 3 175 2 3 + - 7/18 z y x - -- x y + -- x y z - --- z y x + --- y x + 12 72 72 72 + + 3 2 35 2 2 25 2 2 + - 7/3 z y x - 5/36 x y + -- x y z - -- x y + 7/36 x y z - 5/6 x y + 12 72 + + 2 3 3 3 2 + + 7/6 x y z, COEFF(3, 1, -1) = - 7/18 z y x + 7/18 z y x + + 3 2 25 2 3 25 2 2 2 3 + + 7/36 z y x - 7/36 x y z - -- y x + -- x y + 5/36 x y - 5/36 y x + 72 72 + + 35 2 3 35 2 2 3 3 3 2 + + -- z y x - -- x y z + 5/18 y x - 5/18 y x , COEFF(-2, 2, -1) = + 72 72 + + 2 2 2 35 3 3 + - 7/144 x y z + 5/144 x y + 7/48 x y z + --- y x - 5/288 y x + 288 + + 49 3 3 2 2 3 3 + - 5/288 x y - --- z y x - 5/48 x y - 5/48 y x + 7/288 z y x + 288 + + 49 3 49 3 2 35 3 3 2 2 + - --- z y x + --- z y x + 7/288 x y z + --- y x + 5/24 x y + 288 144 288 + + 2 2 35 3 2 2 3 2 + - 7/24 x y z - --- y x + 7/48 z y x , COEFF(-1, 2, -1) = 5/6 x y + 144 + + 35 2 3 245 3 3 49 3 35 3 35 2 2 + + -- y x - --- y x + -- z y x - -- y x + -- x y z - 7/6 x y z + 48 288 36 36 96 + + 245 3 2 35 3 343 3 3 + - --- z y x - 7/36 x y z + --- y x + --- z y x + 5/36 x y + 96 288 288 + + 35 2 2 49 3 49 2 3 25 2 2 175 3 2 25 2 + + -- x y z - --- z y x - -- z y x - -- x y + --- y x - -- x y, + 16 288 48 16 96 96 + + 343 3 2 2 3 2 3 35 3 3 + COEFF(0, 2, -1) = --- z y x + 7/3 z y x - 5/3 y x + -- y x + 72 18 + + 3 3 49 2 2 35 2 2 2 + + 7/18 z y x - 5/18 y x - -- x y z + -- x y - 5/24 y - 5/4 y + 12 12 + + 49 3 3 49 3 35 3 35 2 2 245 3 2 + - -- z y x - -- z y + 7/24 y z + -- y + -- x y + 7/4 y z - --- y x + 18 24 24 72 72 + + 49 2 35 2 35 2 2 49 3 3 + - -- x y z, COEFF(1, 2, -1) = -- x y z + -- x y z + -- z y x + 72 72 12 18 + + 35 3 2 175 3 2 25 2 2 2 3 + + -- y x + 7/6 x y z + --- y x - 5/36 x y - -- x y + 5/3 y x + 36 72 12 + + 35 3 3 2 3 25 2 3 + - -- y x - 5/6 x y - 7/18 z y x + 7/36 x y z - -- x y + 5/18 y x + 18 72 + + 245 3 2 49 3 2 3 2 2 + - --- z y x - -- z y x - 7/3 z y x , COEFF(2, 2, -1) = - 7/8 x y z + 72 36 + + 35 2 3 35 3 2 343 3 3 49 3 2 + - -- y x - --- y x - 7/48 x y z - --- z y x + --- z y x + 5/48 x y + 48 288 288 288 + + 2 245 3 3 2 2 35 3 2 49 3 2 + + 5/48 x y + --- y x + 5/8 x y - -- y x + --- z y x - 7/48 x y z + 288 48 288 + + 49 2 3 35 3 49 3 2 + + -- z y x + 5/288 x y - 7/288 x y z - --- y x + -- z y x , + 48 288 48 + + 3 35 3 2 2 2 2 3 + COEFF(3, 2, -1) = - 7/288 z y x + --- y x + 7/48 x y z - 7/48 z y x + 288 + + 49 3 2 49 3 3 2 2 3 2 + - --- z y x + --- z y x - 5/48 x y + 5/288 y x - 5/288 x y + 288 288 + + 2 3 2 35 3 3 3 3 + + 5/48 y x + 7/288 x y z - --- y x , COEFF(-2, 3, -1) = - 5/288 y x + 288 + + 3 3 2 3 2 2 2 3 + - 5/288 y x - 7/144 z y x + 5/144 y x - 7/288 x y z - 7/288 z y x + + 3 3 2 2 2 2 2 3 2 + + 7/288 z y x + 7/144 x y z - 5/144 x y + 5/288 y x + 5/288 x y + + 3 2 49 3 3 3 + + 7/288 z y x, COEFF(-1, 3, -1) = 7/36 x y z - --- z y x - 7/36 z y x + 288 + + 25 3 2 35 3 2 35 2 3 49 2 3 35 2 2 35 3 3 + - -- y x + -- z y x - --- y x + --- z y x - -- x y z + --- y x + 96 96 288 288 96 288 + + 25 2 2 3 2 2 3 + + -- x y + 5/36 y x - 5/36 x y , COEFF(0, 3, -1) = - 7/18 z y x + 96 + + 49 2 2 3 3 35 2 2 35 3 2 2 + + -- x y z + 7/24 z y - 5/24 y - -- x y + -- y x - 7/24 y z + 72 72 72 + + 49 3 2 3 3 2 3 3 2 3 + - -- z y x - 5/18 y x + 5/24 y + 7/18 z y x + 5/18 y x , + 72 + + 3 35 3 2 2 3 3 + COEFF(1, 3, -1) = - 5/36 y x + -- z y x - 7/36 x y z - 7/18 z y x + 72 + + 2 3 25 2 2 2 3 25 3 2 35 2 2 2 + + 7/18 z y x + -- x y - 5/18 y x - -- y x - -- x y z + 5/36 x y + 72 72 72 + + 3 3 3 35 3 3 49 2 3 + + 5/18 y x + 7/36 z y x, COEFF(2, 3, -1) = - --- y x - --- z y x + 288 288 + + 3 49 3 3 35 2 3 2 2 2 + + 5/288 y x + --- z y x + --- y x + 7/48 x y z + 7/288 x y z + 288 288 + + 2 3 2 2 2 3 2 3 + - 5/288 x y - 7/48 z y x - 5/48 x y + 5/48 y x - 7/288 z y x, + + 3 3 2 2 2 3 + COEFF(3, 3, -1) = - 7/288 z y x - 7/288 x y z + 7/288 z y x + + 3 2 2 2 2 3 3 3 3 2 + - 5/288 y x + 5/288 x y - 5/288 y x + 5/288 y x + 7/288 z y x , + + 2 2 2 3 3 3 + COEFF(-2, -2, 0) = 2/9 x y z - 1/9 x y z - 7/216 y x + 1/18 z y x + + 2 3 2 3 2 3 3 3 2 + - 1/9 z y x + 7/108 y x + 7/108 x y - 7/216 y x + 7/108 y x + + 3 3 3 2 2 2 + + 1/18 z y x + 1/18 z y x - 1/9 z y x + 7/108 x y - 1/9 x y z + + 3 2 2 + + 1/18 x y z - 7/216 x y - 7/216 y x - 7/54 x y , COEFF(-1, -2, 0) = + + 3 35 2 3 3 49 2 3 2 + - 4/9 z y x - -- x y - 7/18 z y x - --- y x + 7/27 x y + 5/6 x y z + 72 108 + + 3 2 2 2 35 2 2 49 3 49 3 3 + + 5/6 z y x - 5/3 x y z + -- x y - 4/9 x y z + --- y x + --- y x + 36 216 216 + + 35 3 2 2 2 3 3 3 14 2 + - -- y x + 8/9 x y z + 7/9 z y x + 7/27 y x - 7/18 z y x - -- x y , + 72 27 + + 3 3 3 49 2 2 3 2 + COEFF(0, -2, 0) = 8/9 z y x + 8/9 z y x - -- x y - 14/9 z y x + 27 + + 3 2 2 2 49 3 2 3 + - 7/18 y + 2/3 y z + 28/9 x y z - 4/3 y z + -- y x + 2/3 z y + 54 + + 28 2 3 2 14 3 3 2 49 2 + + -- y x - 14/9 x y z - -- y x + 7/9 y + -- x y - 7/18 y + 27 27 54 + + 2 3 14 3 14 3 2 2 + - 16/9 z y x - -- y x , COEFF(1, -2, 0) = -- y x - 20/9 x y z + 27 27 + + 2 3 3 3 2 3 + - 7/27 x y + 10/9 x y z - 8/9 z y x - 7/27 y x + 16/9 z y x + + 2 35 2 2 35 3 2 3 35 2 + - 8/9 x y z + -- x y - -- y x - 8/9 z y x + 4/9 x y z - -- x y + 27 54 54 + + 14 2 28 2 3 3 3 2 14 3 3 + + -- x y - -- y x + 4/9 z y x + 10/9 z y x + -- y x , + 27 27 27 + + 3 3 49 3 3 2 + COEFF(2, -2, 0) = 7/18 z y x - 1/18 x y z - --- y x + 7/36 y x + 216 + + 2 49 3 3 2 3 3 + - 7/108 x y - --- y x - 7/9 z y x + 7/216 x y + 7/216 y x + 216 + + 2 2 49 2 3 2 2 3 2 3 + + 2/3 x y z + --- y x - 7/18 x y - 1/3 z y x + 7/18 z y x + 108 + + 3 2 2 2 + - 1/18 z y x - 1/3 x y z + 7/36 x y + 1/9 x y z, COEFF(3, -2, 0) = + + 3 2 2 3 2 3 3 2 + - 7/216 y x + 1/9 z y x - 7/216 x y - 1/18 z y x + 1/18 x y z + + 3 2 2 2 2 3 3 2 + + 7/216 y x + 7/108 x y - 1/9 x y z - 1/18 z y x + 1/18 z y x + + 2 3 3 3 49 3 3 + - 7/108 y x + 7/216 y x , COEFF(-2, -1, 0) = --- y x + 7/27 y x + 216 + + 35 2 3 35 2 2 2 3 35 2 2 + - -- y x - -- x y + 8/9 x y z + 5/6 z y x - 4/9 x y z + -- x y + 72 72 36 + + 14 2 3 2 2 3 2 2 + - -- x y + 7/9 z y x + 5/6 x y z - 4/9 z y x + 7/27 x y - 5/3 x y z + 27 + + 3 49 3 3 3 3 49 3 2 + - 7/18 z y x + --- y x - 7/18 z y x - --- y x , COEFF(-1, -1, 0) = + 216 108 + + 2 56 3 2 49 3 3 + - 20/3 x y z - -- x y - 35/6 z y x - -- y x + 28/9 z y x + 27 27 + + 2 2 2 3 245 3 2 49 3 175 2 2 + + 25/2 x y z + 35/9 x y + 28/9 z y x + --- y x - -- y x - --- x y + 72 27 24 + + 245 2 3 2 3 49 3 3 2 + + --- y x + 32/9 x y z - 35/6 z y x + -- z y x - 20/3 x y z + 72 18 + + 343 3 3 2 3 3 343 3 2 + - --- y x + 35/9 x y , COEFF(0, -1, 0) = - 56/9 z y x - --- y x + 216 54 + + 2 98 3 3 2 3 3 2 + + 10 y z + 28/9 y + -- y x - 35/6 y - 64/9 z y x + 98/9 z y x + 27 + + 2 3 112 3 3 49 3 2 2 2 + - 70/9 y x + --- y x - 14/3 z y + -- y - 70/3 x y z + 112/9 x y z + 27 18 + + 196 2 2 3 245 2 2 + - --- x y + 40/3 z y x - 16/3 y z + --- x y , COEFF(1, -1, 0) = + 27 18 + + 112 3 2 3 245 3 2 3 + - --- y x - 40/3 z y x + --- y x - 32/9 x y z + 64/9 z y x + 27 54 + + 3 2 2 2 98 3 3 3 3 + - 28/9 z y x + 50/3 x y z - 35/9 x y - -- y x + 56/9 z y x + 27 + + 175 2 2 2 3 2 56 49 3 3 2 + - --- x y + 70/9 y x + 20/3 x y z + -- x y + -- y x - 70/9 z y x + 18 27 27 + + 140 2 2 49 3 3 2 + + --- x y - 80/9 x y z, COEFF(2, -1, 0) = - --- y x + 7/3 z y x + 27 216 + + 2 2 2 2 3 343 3 3 3 + - 5/6 x y z - 5 x y z + 35/6 z y x + --- y x - 28/9 z y x + 216 + + 2 2 3 49 3 2 245 2 3 + + 8/3 x y z - 14/9 x y + 7/18 z y x - -- y x + 4/9 x y z - --- y x + 36 72 + + 35 2 2 49 3 49 3 3 35 2 + + -- x y + -- y x - 7/27 x y - -- z y x + -- x y , COEFF(3, -1, 0) = + 12 27 18 72 + + 3 3 49 3 2 35 2 2 3 2 2 3 + 7/18 z y x + --- y x - -- x y - 7/18 z y x - 5/6 z y x + 216 72 + + 2 3 35 2 3 3 49 3 3 2 + - 4/9 x y z - 7/27 y x + -- y x + 4/9 z y x - --- y x + 7/27 x y + 72 216 + + 2 2 14 3 3 14 3 2 2 + + 5/6 x y z, COEFF(-2, 0, 0) = - -- y x - -- y x + 28/9 x y z + 27 27 + + 2 3 49 2 2 3 49 2 3 3 28 3 2 + - 14/9 z y x - -- x y + 8/9 z y x + -- y x + 2/3 z x + -- y x + 27 54 27 + + 2 2 49 2 2 3 + - 14/9 x y z - 4/3 x z + -- x y + 7/9 x - 7/18 x + 2/3 x z - 7/18 x + 54 + + 3 2 3 3 2 + - 16/9 z y x + 8/9 z y x , COEFF(-1, 0, 0) = 28/9 x + 112/9 x y z + + 98 3 3 2 3 343 2 3 112 3 3 + + -- y x + 98/9 z y x - --- y x + --- y x - 14/3 z x - 16/3 x z + 27 54 27 + + 245 2 2 2 3 2 2 2 3 3 + + --- x y + 10 x z + 40/3 z y x - 70/3 x y z - 56/9 z y x + 18 + + 3 49 3 3 2 196 2 2 + - 64/9 z y x + -- x - 70/9 y x - --- x y - 35/6 x , COEFF(0, 0, 0) = + 18 27 + + 3 2 2 686 2 2 3 + - 14/3 - 56/9 x + 8 z + 98/9 y + 98/9 x - --- x y + 32/3 z y + 27 + + 2 3 3 3 3 2 392 3 2 + - 56/3 y z - 56/9 y + 128/9 z y x - 224/9 z y x + --- y x + 27 + + 3 2 2 2 3 224 3 3 392 2 3 + + 32/3 z x + 392/9 x y z - 224/9 z y x - --- y x + --- y x + 27 27 + + 2 3 2 224 3 3 + - 56/3 x z, COEFF(1, 0, 0) = 56/9 x - 70/9 x + 16/3 x z + --- y x + 27 + + 490 2 2 112 3 3 2 2 3 + + --- x y - --- y x - 28/9 x + 64/9 z y x - 280/9 x y z - 32/3 z x + 27 27 + + 280 3 2 3 3 392 2 3 2 196 2 + - --- y x - 128/9 z y x - --- y x + 40/3 x z + --- x y + 27 27 27 + + 2 2 3 3 2 49 3 + - 112/9 x y z + 224/9 z y x + 160/9 z y x , COEFF(2, 0, 0) = - -- x + 18 + + 2 3 2 2 2 98 3 3 343 2 3 + + 14/9 x y z + 14/3 z x + 7/3 x + 28/3 x y z - -- y x + --- y x + 27 54 + + 3 3 2 3 2 49 2 14 3 + + 56/9 z y x - 4 x z + 28/9 y x - -- x y + 7/18 x + -- y x + 54 27 + + 2 3 2 2 3 3 2 + - 2/3 x z - 98/9 z y x - 49/9 x y - 8/9 z y x - 16/3 z y x , + + 3 3 3 49 2 2 49 2 3 2 + COEFF(3, 0, 0) = - 8/9 z y x + 7/18 x + -- x y - -- y x - 7/18 x + 54 54 + + 14 3 2 2 3 2 2 2 14 3 3 + - -- y x + 14/9 z y x - 14/9 x y z + 2/3 x z + -- y x + 27 27 + + 3 2 3 35 2 3 + + 8/9 z y x - 2/3 z x , COEFF(-2, 1, 0) = - -- y x + 4/9 x y z + 54 + + 3 3 3 2 3 35 2 2 35 2 + - 8/9 z y x - 8/9 z y x + 10/9 z y x + -- x y - 7/27 x y - -- x y + 27 54 + + 3 3 2 14 3 3 2 14 2 + - 7/27 y x + 4/9 z y x - 8/9 x y z + -- y x + 10/9 x y z + -- x y + 27 27 + + 28 3 2 3 2 14 3 2 2 + - -- y x + 16/9 z y x + -- y x - 20/9 x y z, COEFF(-1, 1, 0) = + 27 27 + + 3 2 2 49 3 2 3 3 2 + 70/9 y x - 80/9 x y z + -- y x - 70/9 z y x - 40/3 z y x + 27 + + 3 3 2 2 2 140 2 + + 56/9 z y x - 35/9 x y - 32/9 x y z + 50/3 x y z + --- x y + 27 + + 2 3 112 3 3 175 2 2 56 + + 20/3 x y z - 28/9 z y x - --- y x + 64/9 z y x - --- x y + -- x y + 27 18 27 + + 245 2 3 98 3 3 2 2 224 3 3 + + --- y x - -- y x , COEFF(0, 1, 0) = - 280/9 x y z + --- y x + 54 27 27 + + 3 3 3 2 392 3 2 2 3 196 2 + - 128/9 z y x + 224/9 z y x - --- y x + 160/9 z y x + --- x y + 27 27 + + 280 2 3 3 490 2 2 2 3 2 + - --- y x + 56/9 y + --- x y - 70/9 y + 64/9 z y x - 112/9 x y z + 27 27 + + 3 2 112 3 + - 32/3 z y + 40/3 y z + 16/3 y z - 28/9 y - --- y x , COEFF(1, 1, 0) = + 27 + + 140 2 224 3 3 3 280 2 3 280 3 2 + - --- x y - --- y x - 64/9 z y x + --- y x + --- y x + 27 27 27 27 + + 2 3 3 2 112 3 2 56 + - 160/9 z y x - 160/9 z y x + --- y x + 80/9 x y z - -- x y + 27 27 + + 2 2 140 2 350 2 2 3 2 + + 200/9 x y z - --- x y - --- x y - 64/9 z y x + 80/9 x y z + 27 27 + + 112 3 3 3 3 2 + + --- y x + 32/9 x y z + 128/9 z y x , COEFF(2, 1, 0) = 16/3 z y x + 27 + + 35 2 3 14 3 2 3 2 + + -- x y + 8/9 z y x + 7/27 x y - -- y x + 70/9 z y x + 14/9 x y + 54 27 + + 3 3 2 49 3 98 3 3 3 + - 56/9 z y x - 10/9 x y z - -- y x + -- y x + 28/9 z y x + 27 27 + + 2 2 3 2 245 2 3 2 + + 35/9 x y - 4/9 x y z - 28/9 y x - --- y x - 8/3 x y z + 54 + + 2 2 35 2 2 3 3 2 + - 20/3 x y z, COEFF(3, 1, 0) = - -- x y - 4/9 z y x - 8/9 z y x + 54 + + 3 35 2 3 3 3 2 2 + + 7/27 y x + -- y x + 8/9 z y x - 7/27 x y + 4/9 x y z + 54 + + 2 2 14 3 2 2 3 14 3 3 + + 10/9 x y z + -- y x - 10/9 z y x - -- y x , COEFF(-2, 2, 0) = + 27 27 + + 2 2 2 3 2 3 2 3 3 + - 7/18 x y + 7/36 y x + 7/36 x y - 7/9 z y x + 7/18 z y x + + 49 3 49 3 3 2 2 3 49 3 2 + - 1/18 x y z - --- y x - --- y x + 1/9 x y z - 1/3 z y x + --- y x + 216 216 108 + + 3 2 2 3 2 + + 7/216 y x + 7/216 x y + 2/3 x y z + 7/18 z y x - 7/108 x y + + 3 2 35 2 2 49 3 + - 1/18 z y x - 1/3 x y z, COEFF(-1, 2, 0) = -- x y + -- y x + 12 27 + + 2 35 2 2 3 2 3 2 + + 8/3 x y z + -- x y + 7/3 z y x - 14/9 x y + 35/6 z y x + 72 + + 3 3 245 3 2 343 3 3 2 + - 28/9 z y x + 7/18 z y x - --- y x + --- y x - 5/6 x y z + 72 216 + + 49 3 3 49 3 49 2 3 2 2 + + 4/9 x y z - 7/27 x y - -- z y x - --- y x - -- y x - 5 x y z, + 18 216 36 + + 2 3 3 2 2 + COEFF(0, 2, 0) = - 16/3 z y x - 98/9 z y x - 2/3 y z + 7/3 y + + 2 3 2 3 3 3 14 3 49 3 + + 14/9 x y z + 14/3 z y + 28/9 y x + 56/9 z y x + -- y x - -- y + 27 18 + + 2 2 2 2 49 2 3 98 3 3 343 3 2 + + 28/3 x y z - 49/9 x y - -- x y - 8/9 z y x - -- y x + --- y x + 54 27 54 + + 2 35 2 2 14 3 + + 7/18 y - 4 y z, COEFF(1, 2, 0) = -- x y - 8/3 x y z - -- y x + 54 27 + + 2 2 2 3 49 3 3 + + 14/9 x y + 7/27 x y - 10/9 x y z - 28/9 y x - -- y x + 8/9 z y x + 27 + + 2 2 2 2 3 3 3 + - 20/3 x y z + 35/9 x y + 28/9 z y x - 56/9 z y x - 4/9 x y z + + 2 3 3 2 98 3 3 245 3 2 + + 16/3 z y x + 70/9 z y x + -- y x - --- y x , COEFF(2, 2, 0) = + 27 54 + + 2 2 2 343 3 3 3 3 2 + - 7/36 x y + 2 x y z - --- y x - 7/18 z y x - 7/3 z y x + 216 + + 2 3 2 2 49 3 2 49 2 3 + - 7/3 z y x + 1/18 x y z + 1/3 x y z + 1/3 x y z + -- y x + -- y x + 36 36 + + 49 3 2 2 49 3 49 3 3 3 + + --- y x - 7/6 x y + --- y x - 7/216 x y + -- z y x - 7/18 z y x + 216 216 18 + + 2 2 3 2 2 3 + - 7/36 x y , COEFF(3, 2, 0) = - 7/36 y x + 7/36 x y - 7/216 y x + + 2 2 2 3 2 49 3 2 3 3 + - 1/3 x y z + 1/3 z y x + 7/216 x y - --- y x - 7/18 z y x + 216 + + 49 3 3 3 2 3 2 + + --- y x + 1/18 z y x - 1/18 x y z + 7/18 z y x , COEFF(-2, 3, 0) = + 216 + + 2 2 2 3 2 2 3 2 + 7/108 x y + 1/18 z y x - 1/9 x y z - 1/18 z y x + 1/18 x y z + + 3 3 3 2 3 3 3 2 + + 7/216 y x + 7/216 y x - 7/216 y x - 1/18 z y x - 7/216 x y + + 3 2 3 2 2 2 35 3 2 + + 1/9 z y x - 7/108 y x , COEFF(-1, 3, 0) = 5/6 x y z + -- y x + 72 + + 2 3 49 3 3 3 3 3 35 2 2 + - 7/18 z y x - --- y x + 7/18 z y x - 7/27 y x - -- x y + 216 72 + + 3 2 3 49 2 3 2 2 + - 5/6 z y x + 4/9 z y x + --- y x - 4/9 x y z + 7/27 x y , + 216 + + 2 49 2 2 2 3 14 2 3 14 3 3 + COEFF(0, 3, 0) = - 7/18 y + -- x y + 8/9 z y x - -- y x + -- y x + 54 27 27 + + 3 3 3 3 2 2 2 3 + - 8/9 z y x + 7/18 y + 14/9 z y x - 14/9 x y z - 2/3 z y + + 49 3 2 2 3 3 2 + - -- y x + 2/3 y z, COEFF(1, 3, 0) = - 4/9 z y x - 10/9 z y x + 54 + + 14 3 3 2 2 3 35 3 2 35 2 2 2 + - -- y x - 7/27 x y - 8/9 z y x + -- y x - -- x y + 4/9 x y z + 27 54 54 + + 3 3 3 2 2 14 2 3 + + 8/9 z y x + 7/27 y x + 10/9 x y z + -- y x , COEFF(2, 3, 0) = + 27 + + 49 2 3 3 2 3 2 2 2 + - --- y x + 1/18 z y x + 7/18 z y x - 1/18 x y z + 7/36 x y + 216 + + 2 2 3 2 49 3 3 3 2 + - 1/3 x y z - 7/36 y x + --- y x - 7/216 y x + 7/216 x y + 216 + + 3 3 3 2 2 3 + - 7/18 z y x + 1/3 z y x , COEFF(3, 3, 0) = - 1/18 z y x + + 3 3 2 2 3 2 3 3 3 2 + + 1/18 z y x + 1/18 x y z - 1/18 z y x - 7/216 y x + 7/216 y x + + 2 2 2 3 2 + - 7/216 x y + 7/216 y x , COEFF(-2, -2, 1) = - 5/108 x y + 5/216 x y + + 2 2 2 3 2 3 3 + + 5/54 x y - 1/18 x y z + 1/9 z y x - 5/108 y x + 5/216 y x + + 2 3 2 3 2 3 + + 1/9 x y z + 1/9 z y x + 5/216 y x + 1/9 x y z - 1/18 z y x + + 3 3 3 3 3 3 2 2 + - 1/18 z y x + 5/216 y x - 1/18 z y x - 5/108 y x - 5/108 x y + + 2 2 35 3 2 + - 2/9 x y z, COEFF(-1, -2, 1) = 4/9 x y z - --- y x - 8/9 x y z + 216 + + 3 2 2 2 3 2 3 + - 5/6 z y x + 5/3 x y z - 5/27 x y - 5/27 y x - 7/9 z y x + + 25 2 2 3 3 2 35 3 3 10 2 25 3 2 + - -- x y + 7/18 z y x - 5/6 x y z - --- y x + -- x y + -- y x + 36 216 27 72 + + 3 35 2 3 25 2 3 + + 4/9 z y x + --- y x + -- x y + 7/18 z y x , COEFF(0, -2, 1) = + 108 72 + + 2 2 35 3 2 10 3 3 3 10 3 + - 5/9 y + 14/9 x y z - -- y x + -- y x - 2/3 z y + -- y x + 54 27 27 + + 2 3 35 2 20 2 3 3 3 35 2 2 + + 16/9 z y x - -- x y + 5/18 y - -- y x - 8/9 z y x + -- x y + 54 27 27 + + 2 2 3 2 3 2 3 + - 2/3 y z - 28/9 x y z + 5/18 y + 4/3 y z + 14/9 z y x - 8/9 z y x , + + 25 2 2 2 3 3 + COEFF(1, -2, 1) = - -- x y - 10/9 x y z + 8/9 z y x + 5/27 y x + 27 + + 25 3 2 3 3 3 2 25 2 + + -- y x + 8/9 z y x - 10/9 z y x + -- x y - 4/9 x y z + 54 54 + + 2 2 3 10 3 10 3 3 10 2 2 3 + + 20/9 x y z - 4/9 z y x - -- y x - -- y x - -- x y - 16/9 z y x + 27 27 27 + + 20 2 3 2 2 + + 5/27 x y + -- y x + 8/9 x y z, COEFF(2, -2, 1) = 1/3 x y z + 27 + + 2 35 2 3 35 3 3 35 3 3 + - 5/36 x y - 5/216 x y - --- y x + --- y x + --- y x - 7/18 z y x + 108 216 216 + + 3 3 2 2 2 2 3 + + 1/18 z y x - 5/36 y x - 1/9 x y z - 2/3 x y z - 5/216 y x + + 3 2 2 2 2 3 3 2 3 + + 1/3 z y x + 5/18 x y + 5/108 x y - 7/18 z y x + 7/9 z y x + + 2 3 2 3 2 + + 1/18 x y z, COEFF(3, -2, 1) = - 1/9 z y x - 1/18 x y z + 5/216 y x + + 2 3 2 2 2 2 3 3 3 3 + + 5/108 y x + 1/9 x y z - 5/108 x y + 1/18 z y x - 5/216 y x + + 3 2 2 3 3 + - 1/18 z y x + 5/216 x y - 5/216 y x + 1/18 z y x , COEFF(-2, -1, 1) + + 3 2 3 3 35 3 3 + = 4/9 z y x - 8/9 x y z + 7/18 z y x - --- y x - 5/27 y x + 216 + + 3 2 2 2 2 2 3 25 2 + - 7/9 z y x + 5/3 x y z - 5/6 x y z - 5/6 z y x + -- x y + 72 + + 35 3 2 25 2 2 25 2 3 3 + + 4/9 x y z + --- y x - 5/27 x y - -- x y + -- y x + 7/18 z y x + 108 36 72 + + 10 2 35 3 3 2 2 2 + + -- x y - --- y x , COEFF(-1, -1, 1) = - 25/9 x y - 25/2 x y z + 27 216 + + 49 3 3 35 3 175 3 2 245 3 3 35 3 175 2 3 + - -- z y x + -- y x - --- y x + --- y x + -- y x - --- y x + 18 27 72 216 27 72 + + 3 3 40 125 2 2 + - 28/9 z y x - 28/9 z y x - 32/9 x y z + -- x y + --- x y + 27 24 + + 3 2 2 3 2 2 2 + + 35/6 z y x + 35/6 z y x + 20/3 x y z + 20/3 x y z - 25/9 x y , + + 70 3 3 140 2 3 3 3 2 + COEFF(0, -1, 1) = - -- y x + --- x y + 56/9 z y x - 98/9 z y x + 27 27 + + 2 3 35 3 3 2 3 2 + - 40/3 z y x - -- y + 14/3 z y - 10 y z + 64/9 z y x - 112/9 x y z + 18 + + 245 3 2 2 3 2 2 2 175 2 2 + + --- y x - 20/9 y + 50/9 y x + 70/3 x y z + 25/6 y - --- x y + 54 18 + + 80 3 80 3 3 + + 16/3 y z - -- y x , COEFF(1, -1, 1) = -- y x + 28/9 z y x + 32/9 x y z + 27 27 + + 2 2 2 3 2 70 3 3 + + 80/9 x y z - 20/3 x y z + 40/3 z y x + 25/9 x y + -- y x + 27 + + 3 40 35 3 125 2 2 2 2 100 2 + - 64/9 z y x - -- x y - -- y x + --- x y - 50/3 x y z - --- x y + 27 27 18 27 + + 3 3 175 3 2 3 2 2 3 + - 56/9 z y x - --- y x + 70/9 z y x - 50/9 y x , COEFF(2, -1, 1) = + 54 + + 49 3 3 35 3 2 2 3 3 245 3 3 + -- z y x + --- y x + 10/9 x y - 35/6 z y x + 28/9 z y x - --- y x + 18 216 216 + + 25 2 2 25 2 2 35 3 2 2 + - -- x y + 5/6 x y z - -- x y + -- y x - 8/3 x y z + 5/27 x y + 72 12 36 + + 3 35 3 175 2 3 2 2 3 2 + - 7/18 z y x - -- y x - 4/9 x y z + --- y x + 5 x y z - 7/3 z y x , + 27 72 + + 35 3 3 35 3 2 2 3 + COEFF(3, -1, 1) = --- y x - --- y x - 5/27 x y + 5/27 y x + 216 216 + + 3 3 2 25 2 2 3 2 2 2 + - 7/18 z y x + 4/9 x y z + -- x y + 7/18 z y x - 5/6 x y z + 72 + + 3 25 2 3 2 3 2 3 + - 4/9 z y x - -- y x + 5/6 z y x , COEFF(-2, 0, 1) = 14/9 z y x + 72 + + 35 2 20 3 2 2 3 2 + - 2/3 x z + 5/18 x - -- x y - -- y x + 4/3 x z + 16/9 z y x + 54 27 + + 3 35 2 3 2 35 2 2 3 3 3 + - 2/3 z x - -- y x - 5/9 x + -- x y - 8/9 z y x - 8/9 z y x + 54 27 + + 10 3 2 2 2 10 3 3 3 + + -- y x - 28/9 x y z + 14/9 x y z + -- y x + 5/18 x , + 27 27 + + 3 2 3 70 3 3 3 2 + COEFF(-1, 0, 1) = 64/9 z y x + 25/6 x + 14/3 z x - -- y x + 50/9 y x + 27 + + 80 3 245 2 3 2 3 2 3 3 + - 20/9 x - -- y x + --- y x - 98/9 z y x - 10 x z + 56/9 z y x + 27 54 + + 3 2 140 2 2 2 35 3 175 2 2 + - 40/3 z y x + --- x y + 70/3 x y z + 16/3 x z - -- x - --- x y + 27 18 18 + + 2 3 3 3 280 2 3 + - 112/9 x y z, COEFF(0, 0, 1) = - 128/9 z y x + 40/9 x - --- y x + 27 + + 3 2 2 280 3 2 2 2 3 + - 32/3 z y - 392/9 x y z - --- y x - 70/9 x + 10/3 + 224/9 z y x + 27 + + 2 490 2 2 3 2 2 160 3 3 + + 56/3 x z + --- x y - 32/3 z x + 56/3 y z - 70/9 y + --- y x + 27 27 + + 3 3 2 80 3 2 + + 40/9 y - 8 z + 224/9 z y x , COEFF(1, 0, 1) = -- y x + 50/9 x + 27 + + 280 2 3 3 350 2 2 140 2 2 2 + + --- y x - 40/9 x - --- x y - --- x y - 16/3 x z + 280/9 x y z + 27 27 27 + + 2 3 2 3 3 200 3 2 + + 112/9 x y z - 160/9 z y x + 32/3 z x - 64/9 z y x + --- y x + 27 + + 2 160 3 3 3 3 2 3 + - 40/3 x z + 20/9 x - --- y x + 128/9 z y x - 224/9 z y x , + 27 + + 70 3 3 3 3 2 2 2 2 + COEFF(2, 0, 1) = -- y x - 56/9 z y x - 28/3 x y z + 35/9 x y + 27 + + 245 2 3 3 2 3 2 35 2 + - --- y x + 8/9 z y x - 5/3 x - 5/18 x - 14/3 z x + 4 x z + -- x y + 54 54 + + 3 2 10 3 35 3 2 3 2 + + 16/3 z y x - -- y x + -- x + 98/9 z y x + 2/3 x z - 14/9 x y z + 27 18 + + 3 2 2 35 2 3 2 10 3 3 + - 20/9 y x , COEFF(3, 0, 1) = 5/18 x + -- y x - 2/3 x z - -- y x + 54 27 + + 3 35 2 2 3 2 3 10 3 2 3 3 + - 5/18 x - -- x y + 2/3 z x - 14/9 z y x + -- y x + 8/9 z y x + 54 27 + + 2 2 3 2 2 2 2 + + 14/9 x y z - 8/9 z y x , COEFF(-2, 1, 1) = 20/9 x y z + 8/9 x y z + + 10 2 20 3 2 3 2 3 10 3 25 2 3 + - -- x y + -- y x - 16/9 z y x + 5/27 y x - -- y x + -- y x + 27 27 27 54 + + 2 3 25 2 25 2 2 10 3 3 + - 10/9 z y x + -- x y - 4/9 x y z + 5/27 x y - -- x y - -- y x + 54 27 27 + + 3 2 3 3 3 + + 8/9 z y x - 10/9 x y z + 8/9 z y x - 4/9 z y x , COEFF(-1, 1, 1) = + + 70 3 3 3 2 40 35 3 2 3 + -- y x + 32/9 x y z - 50/9 y x - -- x y - -- y x + 70/9 z y x + 27 27 27 + + 2 2 2 3 175 2 3 100 2 + - 20/3 x y z - 50/3 x y z + 28/9 z y x - --- y x - --- x y + 54 27 + + 125 2 2 80 3 3 3 3 2 2 + + --- x y + -- y x - 56/9 z y x + 40/3 z y x + 80/9 x y z + 18 27 + + 2 3 140 2 3 + + 25/9 x y - 64/9 z y x, COEFF(0, 1, 1) = - --- x y - 40/9 y + 27 + + 3 3 3 2 160 3 3 + + 128/9 z y x - 64/9 z y x - 16/3 y z - 40/3 y z - --- y x + 20/9 y + 27 + + 80 3 2 200 2 3 3 280 3 2 2 + + -- y x + 112/9 x y z + --- y x + 32/3 z y + --- y x + 50/9 y + 27 27 27 + + 2 2 350 2 2 2 3 3 2 + + 280/9 x y z - --- x y - 160/9 z y x - 224/9 z y x , + 27 + + 40 2 2 3 + COEFF(1, 1, 1) = -- x y - 32/9 x y z - 80/9 x y z + 160/9 z y x + 27 + + 2 200 3 2 100 2 3 3 3 2 + - 80/9 x y z - --- y x + --- x y - 128/9 z y x + 160/9 z y x + 27 27 + + 160 3 3 2 2 3 200 2 3 250 2 2 + + --- y x - 200/9 x y z + 64/9 z y x - --- y x + --- x y + 27 27 27 + + 3 100 2 80 3 80 3 2 + + 64/9 z y x + --- x y - -- y x - -- y x, COEFF(2, 1, 1) = - 10/9 x y + 27 27 27 + + 2 2 2 2 10 3 3 2 35 3 + + 8/3 x y z - 25/9 x y + 10/9 x y z + -- y x - 16/3 z y x + -- y x + 27 27 + + 2 2 3 2 3 70 3 3 + + 20/3 x y z + 20/9 y x - 8/9 z y x + 4/9 x y z - -- y x + 27 + + 175 2 3 3 3 25 2 3 2 3 + + --- y x + 56/9 z y x - -- x y - 28/9 z y x - 70/9 z y x + 54 54 + + 10 3 3 2 3 3 + - 5/27 x y, COEFF(3, 1, 1) = -- y x + 5/27 x y + 4/9 z y x - 5/27 y x + 27 + + 25 2 2 10 3 2 2 25 2 3 3 2 3 3 + + -- x y - -- y x - 4/9 x y z - -- y x + 8/9 z y x - 8/9 z y x + 54 27 54 + + 2 3 2 2 2 3 35 3 3 + + 10/9 z y x - 10/9 x y z, COEFF(-2, 2, 1) = 1/3 z y x + --- y x + 216 + + 3 2 2 2 3 2 2 + + 1/18 z y x - 2/3 x y z - 5/36 x y - 7/18 z y x + 5/18 x y + + 2 3 2 3 3 35 3 2 + + 1/3 x y z + 7/9 z y x - 7/18 z y x + --- y x - 1/9 x y z + 216 + + 3 2 35 3 2 + - 5/216 y x + 5/108 x y - --- y x - 5/216 x y + 1/18 x y z + 108 + + 2 3 35 2 3 3 3 + - 5/36 y x , COEFF(-1, 2, 1) = -- y x + 28/9 z y x - 7/18 z y x + 36 + + 3 2 25 2 2 2 245 3 3 2 3 + - 35/6 z y x - -- x y - 8/3 x y z - --- y x - 7/3 z y x + 12 216 + + 35 3 175 3 2 25 2 2 35 3 + + --- y x + --- y x - 4/9 x y z - -- x y + 10/9 x y - -- y x + 216 72 72 27 + + 49 3 3 2 2 2 + + 5/27 x y + -- z y x + 5/6 x y z + 5 x y z, COEFF(0, 2, 1) = + 18 + + 3 3 2 3 3 2 70 3 3 35 3 + - 56/9 z y x + 16/3 z y x + 2/3 y z + 98/9 z y x + -- y x + -- y + 27 18 + + 3 2 3 10 3 2 245 3 2 2 2 + + 8/9 z y x - 20/9 y x - -- y x + 4 y z - --- y x - 28/3 x y z + 27 54 + + 2 2 2 2 35 2 3 + + 35/9 x y - 5/3 y - 14/9 x y z - 5/18 y + -- x y - 14/3 z y , + 54 + + 2 3 175 3 2 + COEFF(1, 2, 1) = - 16/3 z y x - 5/27 x y + --- y x + 4/9 x y z + 54 + + 2 3 3 2 2 3 2 + - 10/9 x y + 56/9 z y x - 25/9 x y - 8/9 z y x + 10/9 x y z + + 2 2 3 70 3 3 25 2 2 + + 20/3 x y z - 28/9 z y x - -- y x - -- x y + 8/3 x y z + 27 54 + + 3 2 10 3 35 3 2 3 + - 70/9 z y x + -- y x + -- y x + 20/9 y x , COEFF(2, 2, 1) = + 27 27 + + 2 3 3 2 245 3 3 2 2 + - 1/18 x y z + 7/3 z y x + 7/3 z y x + --- y x - 2 x y z + 216 + + 49 3 3 35 3 2 3 35 3 2 + - -- z y x - -- y x + 7/18 z y x + 5/216 x y - --- y x - 1/3 x y z + 18 36 216 + + 2 35 2 3 2 2 2 35 3 2 + - 1/3 x y z - -- y x + 5/36 x y + 5/6 x y - --- y x + 5/36 x y + 36 216 + + 3 2 3 3 35 3 3 + + 7/18 z y x , COEFF(3, 2, 1) = - 1/3 z y x + 5/216 y x - --- y x + 216 + + 2 2 2 2 3 3 3 + + 1/18 x y z + 1/3 x y z - 5/216 x y + 7/18 z y x - 1/18 z y x + + 2 3 2 2 35 3 2 3 2 + + 5/36 y x - 5/36 x y + --- y x - 7/18 z y x , COEFF(-2, 3, 1) = + 216 + + 3 3 2 2 3 2 2 3 2 + 1/18 z y x - 5/108 x y - 5/216 y x + 1/9 x y z + 5/108 y x + + 3 2 3 2 3 2 2 + + 1/18 z y x + 5/216 y x - 1/18 x y z - 1/9 z y x + 5/216 x y + + 3 3 2 3 35 3 3 25 2 2 + - 5/216 y x - 1/18 z y x , COEFF(-1, 3, 1) = --- y x + -- x y + 216 72 + + 25 3 2 35 2 3 2 2 3 2 3 + - -- y x - --- y x - 5/6 x y z - 4/9 z y x + 7/18 z y x + 72 216 + + 2 3 3 3 3 2 2 + + 4/9 x y z - 7/18 z y x + 5/27 y x + 5/6 z y x - 5/27 x y , + + 3 3 10 3 3 35 2 2 2 2 + COEFF(0, 3, 1) = 8/9 z y x - -- y x - -- x y - 2/3 y z + 5/18 y + 27 54 + + 3 10 2 3 3 2 35 3 2 2 2 + + 2/3 z y + -- y x - 14/9 z y x + -- y x + 14/9 x y z + 27 54 + + 2 3 3 2 2 10 3 3 + - 8/9 z y x - 5/18 y , COEFF(1, 3, 1) = - 10/9 x y z + -- y x + 27 + + 25 2 2 2 3 3 2 25 3 2 3 + + -- x y - 4/9 x y z + 4/9 z y x + 10/9 z y x - -- y x - 5/27 y x + 54 54 + + 10 2 3 3 3 2 2 3 + - -- y x - 8/9 z y x + 5/27 x y + 8/9 z y x , COEFF(2, 3, 1) = + 27 + + 3 3 3 2 3 35 2 3 3 + 5/216 y x + 7/18 z y x - 7/18 z y x + --- y x - 1/18 z y x + 216 + + 2 3 2 2 2 3 2 35 3 3 + - 5/216 x y + 5/36 y x - 5/36 x y - 1/3 z y x - --- y x + 216 + + 2 2 2 3 2 2 3 + + 1/18 x y z + 1/3 x y z, COEFF(3, 3, 1) = 1/18 z y x + 1/18 z y x + + 3 2 2 2 2 2 3 3 3 3 + - 5/216 y x - 1/18 x y z + 5/216 x y - 1/18 z y x + 5/216 y x + + 2 3 3 2 2 3 + - 5/216 y x , COEFF(-2, -2, 2) = 1/72 y x + 1/72 x y + 7/288 z y x + + 2 3 2 3 3 3 2 2 2 + + 1/72 y x + 1/72 x y + 7/288 z y x - 7/144 z y x + 7/72 x y z + + 2 2 3 3 3 3 + - 1/36 x y - 1/144 y x - 1/144 x y - 1/144 y x - 1/144 y x + + 2 2 2 3 3 + - 7/144 x y z - 7/144 x y z + 7/288 x y z - 7/144 z y x + 7/288 z y x + + 3 2 2 3 3 2 + , COEFF(-1, -2, 2) = 1/18 y x - 1/9 x y - 7/72 y x - 5/48 y x + + 35 3 2 3 49 3 49 2 3 + + -- z y x + 7/144 y x + 1/18 x y - --- z y x + --- z y x + 96 288 144 + + 3 2 2 2 49 3 3 3 3 + - 7/36 z y x + 7/18 x y z + 5/24 x y - --- z y x + 7/144 y x + 288 + + 2 35 2 35 2 2 + - 5/48 x y - 7/36 x y z + -- x y z - -- x y z, COEFF(0, -2, 2) = + 96 48 + + 3 3 2 3 3 49 3 2 3 + 7/24 z y - 1/12 y - 7/12 y z + 7/18 z y x - -- z y x - 1/9 y x + 72 + + 3 3 2 3 2 49 2 2 2 3 + - 1/9 y x + 1/6 y + 7/18 z y x + 7/36 x y + -- x y z + 2/9 y x + 36 + + 49 2 2 2 2 3 3 2 + - -- x y z + 7/24 y z - 7/18 x y - 1/12 y - 7/9 z y x + 7/36 y x , + 72 + + 2 2 35 2 2 2 3 + COEFF(1, -2, 2) = 1/9 x y - 7/18 x y z - -- x y z + 7/9 z y x + 36 + + 35 3 2 3 2 3 3 + + -- z y x - 5/36 y x + 7/36 x y z - 7/18 z y x - 1/18 x y + 72 + + 3 3 2 3 2 2 2 3 + + 1/9 y x - 1/18 y x - 2/9 y x + 5/18 x y - 5/36 x y - 7/18 z y x + + 3 3 35 2 3 3 + + 1/9 y x + -- x y z + 7/36 z y x, COEFF(2, -2, 2) = - 7/288 z y x + 72 + + 3 3 3 2 2 2 3 + - 7/144 y x + 1/144 x y - 7/48 z y x + 7/24 x y z + 1/144 y x + + 2 3 49 3 3 2 2 3 2 + + 7/72 y x + --- z y x - 1/12 x y + 1/24 y x - 7/288 x y z + 288 + + 2 2 3 2 49 2 3 + - 1/72 x y - 7/48 x y z - 7/144 y x + 7/144 x y z - --- z y x + 144 + + 49 3 2 3 3 3 2 + + --- z y x + 1/24 x y, COEFF(3, -2, 2) = 1/144 y x - 1/144 y x + 288 + + 2 2 3 3 3 2 3 + + 1/72 x y - 7/288 z y x - 7/288 z y x - 1/144 x y + 1/144 y x + + 2 3 2 2 2 3 2 + - 1/72 y x - 7/144 x y z + 7/144 z y x + 7/288 x y z + + 3 2 49 3 35 2 3 + + 7/288 z y x , COEFF(-2, -1, 2) = - --- z y x - 7/36 x y z + -- z y x + 288 96 + + 3 3 2 3 35 2 2 2 + + 1/18 y x + 7/144 y x - 5/48 y x - -- x y z + 7/18 x y z + 48 + + 3 49 3 3 2 3 3 3 2 + - 7/36 z y x - --- z y x - 1/9 x y + 7/144 y x - 7/72 y x + 288 + + 2 2 2 35 2 49 3 2 + + 5/24 x y + 1/18 x y - 5/48 x y + -- x y z + --- z y x , + 96 144 + + 2 175 2 2 49 3 49 3 3 + COEFF(-1, -1, 2) = 5/6 x y + --- x y z + -- z y x - --- y x - 4/9 x y + 32 36 144 + + 35 2 3 35 2 3 35 3 2 2 25 2 2 + - -- x y z - 7/18 y x + -- y x + -- y x + 5/6 x y - -- x y + 12 48 48 16 + + 3 343 3 3 245 3 2 245 2 3 49 3 + - 7/18 y x + --- z y x - --- z y x - --- z y x + -- z y x + 288 96 96 36 + + 35 2 3 3 2 + + 14/9 x y z - -- x y z, COEFF(0, -1, 2) = 2/3 y + 7/9 y x - 14/9 x y + 12 + + 245 2 2 35 2 2 2 3 3 2 49 3 2 + - --- x y z + -- x y - 5/3 y x - 28/9 z y x - 5/4 y - -- y x + 24 12 36 + + 343 3 2 49 3 3 49 3 3 2 3 + + --- z y x - -- z y + 7/12 y - -- z y x + 35/6 z y x - 7/3 y z + 72 24 18 + + 3 2 2 3 + + 8/9 y x + 35/8 y z + 49/9 x y z, COEFF(1, -1, 2) = - 8/9 y x + + 2 3 2 2 3 3 2 + + 5/3 y x - 35/9 x y z - 35/6 z y x + 28/9 z y x + 10/9 x y + + 25 2 2 175 2 2 3 2 35 2 + - -- x y + --- x y z + 7/18 y x - 5/6 x y + -- x y z - 14/9 x y z + 12 24 12 + + 49 3 245 3 2 35 3 2 49 3 3 3 3 + - -- z y x + 4/9 x y - --- z y x + -- y x + -- z y x - 7/9 y x , + 36 72 36 18 + + 49 3 3 2 49 3 3 35 2 3 + COEFF(2, -1, 2) = --- z y x - 7/24 y x + --- y x - 1/18 x y - -- y x + 288 144 48 + + 343 3 3 49 3 2 2 3 2 + - --- z y x - -- z y x + 7/6 x y z + 5/48 x y - 7/144 y x - 1/3 x y + 288 36 + + 245 2 3 3 35 2 35 2 2 + + --- z y x + 7/36 x y z + 7/18 y x - -- x y z - -- x y z + 96 96 16 + + 2 2 49 3 2 2 2 3 + + 5/8 x y + -- z y x , COEFF(3, -1, 2) = - 5/48 x y + 7/36 z y x + 48 + + 35 2 2 35 2 3 3 49 3 2 2 3 + + -- x y z - -- z y x - 1/18 y x - --- z y x + 5/48 y x + 96 96 288 + + 3 3 2 49 3 3 3 2 2 + - 7/144 y x + 1/18 x y + --- z y x + 7/144 y x - 7/36 x y z, + 288 + + 2 2 2 3 3 2 + COEFF(-2, 0, 2) = - 1/12 x - 7/18 x y + 7/36 y x + 7/18 z y x + 1/6 x + + 49 2 3 2 49 2 3 3 2 2 + + 7/24 x z - -- x y z - 7/9 z y x - -- z y x + 2/9 y x + 7/36 x y + 72 72 + + 3 2 3 3 3 3 3 3 + + 7/24 z x - 7/12 x z - 1/12 x + 7/18 z y x - 1/9 y x - 1/9 y x + + 49 2 2 2 2 3 2 + + -- x y z, COEFF(-1, 0, 2) = - 5/4 x + 35/8 x z - 5/3 y x + 36 + + 3 3 49 2 3 3 3 2 343 2 3 + - 28/9 z y x + 8/9 y x - -- y x + 7/12 x + 35/6 z y x + --- z y x + 36 72 + + 2 2 3 3 49 3 3 49 3 + + 49/9 x y z - 14/9 x y + 7/9 y x - 7/3 x z - -- z y x - -- z x + 18 24 + + 35 2 2 245 2 2 2 2 + + 2/3 x + -- x y - --- x y z, COEFF(0, 0, 2) = - 49/9 x y + 12 24 + + 2 2 3 3 3 3 3 + - 49/6 x z - 49/6 y z + 14/3 z y + 7/2 z - 16/9 y x + 56/9 z y x + + 3 3 2 2 3 2 3 3 + + 14/3 z x - 98/9 z y x - 98/9 z y x + 7/3 y - 1 - 4/3 y - 4/3 x + + 2 3 2 2 3 343 2 2 + + 7/3 x + 28/9 y x + 28/9 y x + --- x y z, COEFF(1, 0, 2) = + 18 + + 2 245 2 2 3 2 2 + 35/6 x z - --- x y z + 28/9 z y x + 14/9 x y - 49/9 x y z + 18 + + 3 2 2 3 3 3 3 2 + - 20/9 y x + 98/9 z y x - 56/9 z y x - 2/3 x + 70/9 z y x + + 2 2 2 3 3 2 3 3 + + 35/9 x y - 5/3 x + 16/9 y x + 7/3 x z - 28/9 y x - 8/9 y x + + 3 3 49 2 3 2 3 + + 4/3 x - 14/3 z x , COEFF(2, 0, 2) = -- y x - 7/36 x y - 7/12 x + 36 + + 49 3 3 2 343 2 3 49 3 3 + + -- z y x + 1/12 x - 7/4 x z - --- z y x + -- z x - 7/18 z y x + 18 72 24 + + 49 2 2 49 2 2 3 2 3 3 3 + + -- x y z + -- x y z + 1/2 x - 7/3 z y x - 7/9 y x + 1/9 y x + 12 72 + + 2 2 3 2 3 3 + - 7/6 x y + 2/3 y x - 7/24 x z, COEFF(3, 0, 2) = - 7/18 z y x + + 3 49 2 3 3 2 3 2 3 3 + - 7/24 z x + -- z y x + 1/12 x + 7/24 x z - 1/9 y x + 1/9 y x + 72 + + 49 2 2 2 2 2 3 2 2 3 + - -- x y z + 7/36 x y - 1/12 x + 7/18 z y x - 7/36 y x , + 72 + + 3 3 3 3 35 2 3 + COEFF(-2, 1, 2) = 1/9 y x - 7/18 z y x + 7/36 x y z + -- z y x + 72 + + 35 2 35 2 2 3 2 3 3 + + -- x y z - -- x y z - 2/9 y x + 1/9 y x - 7/18 z y x + 72 36 + + 3 2 3 2 3 3 + + 7/9 z y x - 1/18 y x - 1/18 x y - 5/36 y x + 7/36 z y x + + 2 2 2 2 2 + + 5/18 x y - 7/18 x y z - 5/36 x y + 1/9 x y, COEFF(-1, 1, 2) = + + 3 3 2 49 3 3 35 2 245 2 3 + - 14/9 x y z - 7/9 y x - 5/6 x y + -- z y x + -- x y z - --- z y x + 18 12 72 + + 2 3 2 25 2 2 49 3 35 2 3 3 + + 10/9 x y + 5/3 y x - -- x y - -- z y x + -- y x + 28/9 z y x + 12 36 36 + + 2 3 3 2 3 + + 4/9 x y - 35/9 x y z - 8/9 y x - 35/6 z y x + 7/18 y x + + 175 2 2 2 3 3 2 2 + + --- x y z, COEFF(0, 1, 2) = 70/9 z y x + 98/9 z y x + 35/6 y z + 24 + + 2 3 2 2 2 3 2 2 + - 20/9 y x + 35/9 x y - 49/9 x y z - 28/9 y x + 14/9 x y + + 3 3 3 3 3 3 245 2 2 + - 56/9 z y x - 8/9 y x + 16/9 y x - 2/3 y + 4/3 y - --- x y z + 18 + + 3 3 2 + + 7/3 y z - 14/3 z y + 28/9 z y x - 5/3 y , COEFF(1, 1, 2) = + + 2 3 3 2 2 175 2 2 2 + - 70/9 z y x + 20/9 y x - 10/9 x y + --- x y z - 10/9 x y + 18 + + 2 3 2 2 2 2 + + 20/9 y x + 14/9 x y z - 25/9 x y + 35/9 x y z + 35/9 x y z + + 3 3 2 3 3 3 3 + + 8/9 y x - 70/9 z y x + 56/9 z y x + 8/9 y x - 28/9 z y x + + 3 3 3 2 + - 16/9 y x - 4/9 x y - 28/9 z y x, COEFF(2, 1, 2) = 1/3 x y + 1/18 x y + + 35 2 2 3 2 3 2 3 3 35 2 3 + - -- x y z + 7/3 z y x - 1/9 y x - 7/6 x y z + 7/9 y x - -- y x + 12 36 + + 3 2 2 35 2 49 3 3 3 49 3 + - 2/3 y x + 5/36 x y - -- x y z - -- z y x - 7/18 y x + -- z y x + 72 18 36 + + 245 2 3 2 2 3 + + --- z y x - 7/36 x y z + 5/6 x y + 7/18 z y x, COEFF(3, 1, 2) = + 72 + + 3 3 35 2 3 3 2 3 2 2 + - 1/9 y x - -- z y x + 1/9 y x - 7/18 z y x - 1/18 x y + 72 + + 35 2 2 3 3 3 3 2 3 + + -- x y z + 7/18 z y x + 1/18 y x - 7/36 z y x + 5/36 y x + 72 + + 2 2 2 2 2 2 + + 7/36 x y z - 5/36 x y , COEFF(-2, 2, 2) = - 7/48 x y z - 1/12 x y + + 2 3 3 2 3 49 3 + + 1/24 x y - 7/144 y x + 1/144 x y - 7/48 z y x + --- z y x + 288 + + 2 2 2 3 49 3 2 3 + - 1/72 x y + 7/24 x y z - 7/144 y x - --- z y x + 1/144 y x + 144 + + 2 3 3 2 49 3 3 3 + + 1/24 y x + 7/72 y x + --- z y x - 7/288 z y x - 7/288 x y z + 288 + + 2 2 2 35 2 49 3 + + 7/144 x y z, COEFF(-1, 2, 2) = 5/8 x y - -- x y z + --- z y x + 96 288 + + 35 2 2 2 3 3 + - -- x y z + 7/6 x y z - 7/144 y x - 1/18 x y + 7/18 y x + 16 + + 343 3 3 49 2 3 49 3 3 2 + - --- z y x + -- z y x + --- y x + 7/36 x y z + 5/48 x y + 288 48 144 + + 245 3 2 2 3 49 3 35 3 2 2 + + --- z y x - 7/24 y x - -- z y x - -- y x - 1/3 x y , + 96 36 48 + + 2 2 2 3 3 3 3 + COEFF(0, 2, 2) = - 7/6 x y + 2/3 y x + 1/12 y - 7/18 z y x - 7/9 y x + + 49 2 343 3 2 3 2 3 2 + + -- x y z - --- z y x + 1/9 y x - 7/3 z y x - 7/24 y z + 1/2 y + 72 72 + + 2 49 3 2 2 49 2 2 49 3 49 3 3 + - 7/36 x y + -- y x - 7/4 y z + -- x y z + -- z y + -- z y x + 36 12 24 18 + + 3 49 3 2 3 + - 7/12 y , COEFF(1, 2, 2) = -- z y x + 5/36 x y + 7/18 z y x + 36 + + 2 3 49 3 3 2 2 3 3 + - 7/36 x y z + 7/3 z y x - -- z y x + 5/6 x y + 7/9 y x + 18 + + 35 2 3 2 2 3 + - -- x y z - 1/9 y x - 7/6 x y z + 1/18 x y + 1/3 x y - 7/18 y x + 72 + + 245 3 2 35 3 2 35 2 2 2 3 + + --- z y x - -- y x - -- x y z - 2/3 y x , COEFF(2, 2, 2) = + 72 36 12 + + 2 49 3 3 2 + 7/48 x y z - --- z y x + 7/144 y x + 7/288 x y z - 1/24 x y + 288 + + 2 49 3 2 343 3 3 49 3 3 + + 7/48 x y z - --- z y x - 1/24 x y + --- z y x - --- y x + 288 288 144 + + 49 2 3 2 2 3 2 2 + - -- z y x + 7/8 x y z + 7/144 y x - 1/144 x y - 1/4 x y + 48 + + 2 3 3 2 49 3 2 2 2 + + 7/24 y x + 7/24 y x - -- z y x , COEFF(3, 2, 2) = - 7/48 x y z + 48 + + 2 3 3 2 3 2 3 + + 1/144 x y + 7/144 y x - 7/288 x y z - 7/144 y x + 7/288 z y x + + 49 3 2 2 2 2 3 2 3 3 + + --- z y x + 1/24 x y + 7/48 z y x - 1/24 y x - 1/144 y x + 288 + + 49 3 3 2 2 2 2 + - --- z y x , COEFF(-2, 3, 2) = - 7/144 x y z + 1/72 x y + 288 + + 2 3 3 2 3 3 2 3 3 + + 7/288 z y x - 1/72 y x + 1/144 y x - 1/144 x y - 7/288 z y x + + 3 3 2 2 3 2 3 + - 7/288 z y x + 7/144 z y x + 7/288 x y z + 1/144 y x - 1/144 y x , + + 35 3 2 3 3 49 2 3 2 + COEFF(-1, 3, 2) = - -- z y x - 7/144 y x - --- z y x + 1/18 x y + 96 288 + + 3 49 3 3 3 2 2 3 35 2 2 + + 7/36 z y x + --- z y x + 5/48 y x + 7/144 y x + -- x y z + 288 96 + + 2 2 2 3 2 3 + - 7/36 x y z - 5/48 x y - 1/18 y x, COEFF(0, 3, 2) = - 1/9 y x + + 49 3 2 3 3 3 2 3 3 49 2 2 + + -- z y x - 7/18 z y x - 7/36 y x + 1/9 y x - -- x y z + 72 72 + + 2 2 2 3 3 3 2 2 + + 7/36 x y + 7/18 z y x + 1/12 y - 7/24 z y - 1/12 y + 7/24 y z, + + 35 2 2 3 3 2 3 + COEFF(1, 3, 2) = -- x y z - 1/9 y x + 7/36 x y z + 1/18 y x + 72 + + 2 35 3 2 3 2 3 2 3 + - 1/18 x y - -- z y x + 5/36 y x - 7/36 z y x + 1/9 y x + 72 + + 2 2 3 3 2 3 2 2 + - 5/36 x y + 7/18 z y x - 7/18 z y x , COEFF(2, 3, 2) = 1/24 x y + + 49 2 3 2 2 2 49 3 3 3 + + --- z y x - 7/288 x y z - 7/48 x y z - --- z y x + 7/288 z y x + 288 288 + + 2 3 2 3 2 3 3 2 + + 1/144 x y + 7/48 z y x - 1/144 y x - 7/144 y x - 1/24 y x + + 3 3 3 3 3 2 + + 7/144 y x , COEFF(3, 3, 2) = 7/288 z y x + 1/144 y x + + 2 3 3 3 2 2 2 2 + - 7/288 z y x - 1/144 y x - 1/144 x y + 7/288 x y z + + 3 2 2 3 2 3 + - 7/288 z y x + 1/144 y x , COEFF(-2, -2, 3) = 1/144 z y x + + 2 3 3 3 2 + + 1/864 x y - 1/432 x y + 1/864 y x - 1/288 z y x - 1/432 x y + + 3 3 2 3 2 2 + - 1/288 z y x - 1/432 y x - 1/288 x y z + 1/864 y x + 1/216 x y + + 2 3 3 2 2 2 3 3 3 + - 1/432 y x + 1/144 z y x - 1/72 x y z - 1/288 z y x + 1/864 y x + + 2 2 2 2 + + 1/144 x y z + 1/144 x y z, COEFF(-1, -2, 3) = 5/48 x y z + + 2 3 3 3 2 2 2 3 + + 5/288 x y - 7/864 y x + 5/288 y x - 5/144 x y + 1/36 z y x + + 2 3 2 3 2 3 + + 1/54 x y - 5/96 z y x - 1/108 y x - 1/108 x y + 7/432 y x + + 2 3 3 3 3 2 + - 7/144 z y x + 7/288 z y x + 7/288 z y x - 1/18 x y z + 1/36 x y z + + 3 2 2 2 3 + - 7/864 y x - 5/96 x y z, COEFF(0, -2, 3) = - 1/36 y - 1/27 y x + + 3 2 2 2 2 3 + - 7/216 y x + 7/108 x y + 1/72 y + 1/12 y z - 1/24 y z - 1/24 z y + + 3 2 3 3 3 3 3 2 2 + + 7/72 z y x - 1/18 z y x - 1/18 z y x + 1/54 y x - 7/36 x y z + + 2 3 2 3 2 3 + + 1/9 z y x + 7/72 x y z + 1/72 y - 7/216 x y + 1/54 y x , + + 2 2 2 3 3 + COEFF(1, -2, 3) = 1/108 x y - 5/72 x y z + 5/36 x y z - 1/54 y x + + 2 2 2 2 3 2 + + 5/216 x y - 5/108 x y + 1/18 x y z + 1/18 z y x - 1/54 x y + + 3 2 3 3 3 2 + - 1/36 z y x - 1/36 x y z - 1/9 z y x - 1/54 y x + 5/216 y x + + 3 2 3 3 2 3 3 + - 5/72 z y x + 1/18 z y x + 1/27 y x + 1/108 y x, COEFF(2, -2, 3) + + 2 3 3 2 3 2 2 + = - 1/144 x y + 7/864 y x - 7/432 y x + 1/48 x y z + 1/432 x y + + 3 2 2 2 3 + + 1/288 z y x - 1/864 x y + 1/72 x y + 7/144 z y x + 1/288 x y z + + 3 3 3 2 3 3 + + 7/864 y x - 1/864 y x - 7/288 z y x - 1/144 x y z - 7/288 z y x + + 2 2 3 2 3 2 + - 1/24 x y z + 1/48 z y x - 1/144 y x , COEFF(3, -2, 3) = + + 2 3 2 3 2 2 2 2 3 3 + - 1/144 z y x + 1/432 y x - 1/432 x y + 1/144 x y z - 1/864 y x + + 3 2 2 3 3 3 + + 1/288 z y x + 1/864 x y - 1/288 x y z + 1/288 z y x - 1/864 y x + + 3 2 3 2 2 2 + + 1/864 y x - 1/288 z y x , COEFF(-2, -1, 3) = - 5/144 x y + + 2 2 2 2 2 + - 1/108 x y + 5/48 x y z - 1/18 x y z - 5/96 x y z + 1/54 x y + + 3 2 3 2 3 3 3 3 + - 7/144 z y x - 7/864 y x - 5/96 z y x + 7/288 z y x + 7/288 z y x + + 2 3 3 3 3 3 2 + + 5/288 y x + 1/36 z y x + 1/36 x y z - 7/864 y x + 7/432 y x + + 2 3 35 2 3 2 + + 5/288 x y - 1/108 y x , COEFF(-1, -1, 3) = - --- y x - 5/36 x y + 288 + + 49 3 3 35 2 3 25 2 2 3 3 35 3 2 + + --- y x + -- z y x + -- x y + 7/108 y x - 7/36 z y x - --- y x + 864 96 96 288 + + 2 2 25 2 2 3 + - 5/36 x y + 5/12 x y z - -- x y z - 7/36 z y x + 2/27 x y + 32 + + 3 49 3 3 35 3 2 2 + + 7/108 y x - --- z y x + -- z y x + 5/12 x y z - 2/9 x y z, + 288 96 + + 3 35 2 2 49 3 2 35 2 2 + COEFF(0, -1, 3) = 1/3 y z - 7/72 y - -- x y + --- y x + -- x y z + 72 216 24 + + 2 3 2 3 3 3 49 3 2 + - 5/6 z y x + 7/27 x y - 7/54 y x - 4/27 y x - -- z y x - 1/9 y + 72 + + 2 3 3 3 3 2 2 2 + + 5/18 y x + 4/9 z y x + 7/18 z y x + 5/24 y - 7/9 x y z - 5/8 y z + + 3 3 3 3 2 + + 7/24 z y , COEFF(1, -1, 3) = - 7/18 z y x - 4/9 z y x + 5/36 x y + + 2 3 2 3 3 3 3 + - 5/18 y x - 5/12 x y z + 7/36 z y x - 7/108 y x + 7/54 y x + + 25 2 2 2 3 25 2 2 35 3 2 2 + - -- x y z + 5/6 z y x + -- x y - 2/27 x y - --- y x - 5/27 x y + 24 72 216 + + 35 3 2 2 3 + + -- z y x + 2/9 x y z + 5/9 x y z + 4/27 y x , COEFF(2, -1, 3) = + 72 + + 35 2 3 49 3 3 49 3 3 2 + - -- z y x - --- y x + 1/108 x y + --- z y x + 5/96 x y z + 96 864 288 + + 3 2 2 3 2 2 2 3 + + 7/36 z y x - 5/48 x y - 7/48 z y x + 5/16 x y z - 7/108 y x + + 3 3 3 2 35 2 3 2 + + 7/864 y x - 7/288 z y x + 7/144 y x + --- y x + 1/18 x y + 288 + + 2 2 2 + - 1/6 x y z - 5/288 x y - 1/36 x y z, COEFF(3, -1, 3) = 1/36 x y z + + 3 2 2 3 3 2 2 3 3 + + 7/288 z y x + 5/96 z y x - 7/864 y x - 1/108 x y - 7/288 z y x + + 2 2 2 2 3 3 2 3 3 + - 5/96 x y z + 5/288 x y + 7/864 y x - 5/288 y x + 1/108 y x + + 3 3 2 2 2 2 + - 1/36 z y x , COEFF(-2, 0, 3) = - 1/27 y x + 7/72 x y z + 7/108 x y + + 2 3 3 3 3 + - 7/216 y x - 1/18 z y x - 1/24 x z + 1/54 y x + 1/72 x + 1/72 x + + 3 2 3 3 2 3 2 + - 1/24 z x - 1/36 x - 1/18 z y x + 7/72 z y x + 1/12 x z + + 2 2 3 3 2 3 2 + - 7/36 x y z + 1/54 y x - 7/216 x y + 1/9 z y x , COEFF(-1, 0, 3) = + + 49 2 3 3 2 3 3 35 2 2 49 2 3 + --- y x - 4/27 y x + 5/24 x + 7/18 z y x + -- x y z - -- z y x + 216 24 72 + + 3 2 2 3 3 3 2 + - 7/72 x - 5/8 x z - 7/9 x y z + 1/3 x z - 7/54 y x + 5/18 y x + + 3 2 3 2 35 2 2 3 + + 7/24 z x + 7/27 x y - 5/6 z y x - -- x y - 1/9 x + 4/9 z y x, + 72 + + 2 3 3 3 3 3 2 + COEFF(0, 0, 3) = 14/9 z y x - 2/3 z x + 8/27 y x - 2/3 z y + 7/6 x z + + 2 49 2 2 3 3 2 3 14 2 3 + - 7/18 x - -- x y z - 8/9 z y x + 7/6 y z + 2/9 y + 1/6 - -- y x + 18 27 + + 49 2 2 14 3 2 3 2 2 3 + + -- x y - 1/2 z - -- y x + 14/9 z y x - 7/18 y + 2/9 x , + 54 27 + + 10 3 2 3 3 2 14 2 3 3 + COEFF(1, 0, 3) = -- y x - 8/27 y x + 5/18 x + -- y x - 4/9 z y x + 27 27 + + 3 35 2 2 3 3 2 3 + + 4/27 y x - -- x y + 8/9 z y x + 7/9 x y z + 2/3 z x + 1/9 x + 54 + + 35 2 2 3 2 3 2 2 + + -- x y z - 1/3 x z - 2/9 x - 5/6 x z - 10/9 z y x - 7/27 x y + 18 + + 2 3 2 2 2 3 + - 14/9 z y x , COEFF(2, 0, 3) = - 7/12 x y z - 7/72 x y z - 7/24 z x + + 2 3 3 3 49 2 3 3 2 + - 1/12 x + 1/18 z y x + 7/54 y x - --- y x + 1/3 z y x + 216 + + 2 2 3 3 49 2 3 3 2 + + 7/36 x y - 7/18 z y x - 1/72 x + -- z y x - 1/54 y x + 7/216 x y + 72 + + 3 2 2 3 3 + - 1/9 y x + 1/4 x z + 1/24 x z + 7/72 x , COEFF(3, 0, 3) = - 1/72 x + + 2 2 3 3 3 3 2 2 3 + - 7/216 x y + 1/24 z x + 1/18 z y x + 1/54 y x + 7/216 y x + + 2 2 2 3 3 3 2 2 + - 1/24 x z + 7/72 x y z - 1/54 y x - 1/18 z y x + 1/72 x + + 2 3 2 3 3 2 + - 7/72 z y x , COEFF(-2, 1, 3) = 1/18 x y z - 1/54 y x + 1/27 y x + + 2 3 2 3 3 + + 1/108 x y - 1/54 x y - 1/9 z y x + 1/108 y x - 1/36 z y x + + 2 3 2 2 2 3 + + 5/216 y x + 5/216 x y - 5/72 x y z - 5/72 z y x - 1/36 x y z + + 2 2 3 3 2 2 3 3 3 + + 5/36 x y z - 1/54 y x - 5/108 x y + 1/18 z y x + 1/18 z y x , + + 3 2 2 3 2 + COEFF(-1, 1, 3) = 5/6 z y x + 5/9 x y z + 4/27 y x - 5/27 x y + + 3 3 2 3 2 3 3 + - 4/9 z y x - 5/18 y x - 7/108 y x + 5/36 x y - 2/27 x y + 7/54 y x + + 2 25 2 2 3 35 2 3 35 2 3 + - 5/12 x y z + -- x y + 7/36 z y x + -- z y x - --- y x + 72 72 216 + + 25 2 2 3 3 35 2 2 + - -- x y z - 7/18 z y x + 2/9 x y z, COEFF(0, 1, 3) = -- x y z + 24 18 + + 3 3 3 14 3 2 2 3 + + 8/9 z y x - 4/9 z y x + 1/9 y + -- y x + 5/18 y + 2/3 z y + 27 + + 2 35 2 2 2 3 3 3 2 + - 7/27 x y - -- x y - 1/3 y z - 10/9 z y x - 2/9 y - 14/9 z y x + 54 + + 2 2 3 3 3 10 2 3 + + 7/9 x y z - 5/6 y z + 4/27 y x - 8/27 y x + -- y x , + 27 + + 3 10 2 3 25 2 2 3 2 + COEFF(1, 1, 3) = - 4/27 y x - -- y x + -- x y + 4/9 z y x + 5/27 x y + 27 54 + + 3 3 2 10 3 2 2 3 3 + - 8/9 z y x - 5/9 x y z + 2/27 x y - -- y x - 5/9 x y z + 8/27 y x + 27 + + 3 25 2 2 2 3 2 3 2 + - 4/27 y x - -- x y z + 10/9 z y x + 5/27 x y + 10/9 z y x + 18 + + 3 3 2 2 + + 4/9 z y x - 2/9 x y z, COEFF(2, 1, 3) = 1/54 y x + 5/12 x y z + + 35 2 3 2 3 + - 1/108 x y - -- z y x - 1/18 x y + 1/36 x y z - 1/18 z y x + 72 + + 3 2 3 2 3 3 2 2 + + 1/9 y x + 7/108 y x + 5/72 x y z + 7/18 z y x - 5/36 x y + + 2 2 3 35 2 3 3 2 + + 1/6 x y z - 5/216 x y - 7/36 z y x + --- y x - 1/3 z y x + 216 + + 3 3 2 2 2 3 2 + - 7/54 y x , COEFF(3, 1, 3) = 5/216 x y - 5/216 y x - 1/36 x y z + + 2 3 3 2 3 3 2 3 + + 5/72 z y x + 1/18 z y x + 1/54 y x + 1/108 x y + 1/36 z y x + + 3 2 3 3 3 2 2 + - 1/54 y x - 1/18 z y x - 1/108 y x - 5/72 x y z, COEFF(-2, 2, 3) + + 2 2 2 3 3 2 + = - 1/144 x y z - 1/144 x y + 1/432 x y + 7/864 y x + 1/48 x y z + + 3 3 3 2 3 2 2 + + 1/288 z y x - 1/864 y x - 7/432 y x + 7/864 y x + 1/72 x y + + 3 2 3 2 3 3 3 2 2 + - 7/288 z y x - 1/144 y x + 1/48 z y x - 7/288 z y x - 1/24 x y z + + 3 2 49 3 3 + - 1/864 x y + 7/144 z y x + 1/288 x y z, COEFF(-1, 2, 3) = - --- y x + 864 + + 2 35 3 2 3 3 3 + - 5/288 x y + --- y x + 7/864 y x + 7/36 z y x - 7/288 z y x + 288 + + 2 2 49 3 3 2 3 + + 1/18 x y + 5/96 x y z + --- z y x + 1/108 x y + 7/144 y x + 288 + + 2 2 2 2 3 2 3 35 3 2 + - 5/48 x y + 5/16 x y z - 7/108 y x - 7/48 z y x - -- z y x + 96 + + 2 3 2 + - 1/6 x y z - 1/36 x y z, COEFF(0, 2, 3) = 1/18 z y x + 7/216 x y + + 3 3 2 3 3 3 3 3 + + 7/54 y x + 1/3 z y x - 1/54 y x - 1/72 y - 7/18 z y x + 7/72 y + + 2 2 2 2 3 3 49 3 2 + - 1/12 y + 7/36 x y - 1/9 y x + 1/24 y z - 7/24 z y - --- y x + 216 + + 2 49 3 2 2 2 2 + - 7/72 x y z + -- z y x + 1/4 y z - 7/12 x y z, COEFF(1, 2, 3) = + 72 + + 3 3 3 2 2 2 + 1/36 x y z + 1/54 y x + 7/18 z y x + 5/72 x y z + 5/12 x y z + + 2 3 3 3 3 35 3 2 + - 1/3 z y x - 7/54 y x - 7/36 z y x - 1/108 x y - -- z y x + 72 + + 2 2 2 35 3 2 2 3 2 2 + - 5/36 x y - 1/18 x y + --- y x + 1/9 y x + 1/6 x y z - 5/216 x y + 216 + + 3 3 3 2 3 + + 7/108 y x - 1/18 z y x , COEFF(2, 2, 3) = 7/48 z y x - 7/864 y x + + 2 3 2 3 3 + + 7/48 z y x - 1/48 x y z + 7/288 z y x + 1/864 x y + 7/288 z y x + + 3 2 2 2 49 3 3 2 2 3 + - 7/144 y x - 1/8 x y z - --- z y x + 1/24 x y - 7/864 y x + 288 + + 49 3 3 2 2 3 2 2 + + --- y x + 1/144 x y - 7/144 y x + 1/144 x y - 1/48 x y z + 864 + + 3 3 2 3 + - 1/288 x y z, COEFF(3, 2, 3) = 1/864 y x - 1/288 z y x + 1/144 y x + + 2 3 2 2 3 2 2 2 + - 1/48 z y x + 1/48 x y z + 7/864 y x - 1/864 x y + 1/288 x y z + + 3 3 3 2 2 2 3 3 + - 7/864 y x - 7/288 z y x - 1/144 x y + 7/288 z y x , + + 3 3 2 2 3 3 + COEFF(-2, 3, 3) = - 1/864 y x + 1/144 x y z + 1/288 z y x - 1/864 y x + + 2 3 2 2 3 3 2 2 + + 1/864 y x - 1/288 x y z - 1/288 z y x + 1/432 y x + 1/864 x y + + 3 2 3 3 2 2 + - 1/144 z y x + 1/288 z y x - 1/432 x y , COEFF(-1, 3, 3) = + + 3 3 2 3 3 2 2 3 + - 7/288 z y x - 7/864 y x + 5/96 z y x + 1/36 x y z + 1/108 y x + + 2 3 2 2 2 2 3 2 3 + + 7/288 z y x - 5/96 x y z + 5/288 x y - 5/288 y x - 1/36 z y x + + 3 3 2 2 3 2 + + 7/864 y x - 1/108 x y , COEFF(0, 3, 3) = - 1/18 z y x - 1/24 y z + + 3 2 2 3 3 3 3 2 2 + - 1/72 y - 7/216 x y + 1/18 z y x - 1/54 y x + 7/72 x y z + + 3 2 3 2 3 2 3 2 + + 1/24 z y + 1/54 y x + 1/72 y - 7/72 z y x + 7/216 y x , + + 3 3 2 3 2 3 + COEFF(1, 3, 3) = 1/54 y x - 1/36 x y z + 5/72 z y x + 1/36 z y x + + 3 2 3 3 2 3 2 2 2 3 + - 5/216 y x - 1/18 z y x + 1/18 z y x - 5/72 x y z - 1/54 y x + + 2 2 3 2 3 3 + + 5/216 x y - 1/108 y x + 1/108 x y , COEFF(2, 3, 3) = - 7/864 y x + + 2 3 2 3 3 3 + - 7/288 z y x + 1/288 x y z + 7/288 z y x - 1/288 z y x + + 3 2 3 3 2 2 2 2 + - 1/48 z y x + 1/864 y x + 1/144 y x - 1/144 x y - 1/864 x y + + 2 3 2 2 2 3 + + 7/864 y x + 1/48 x y z, COEFF(3, 3, 3) = 1/288 z y x + + 2 2 3 2 3 3 2 2 2 3 + - 1/288 x y z + 1/288 z y x + 1/864 y x + 1/864 x y - 1/864 y x + + 3 2 3 3 + - 1/864 y x - 1/288 z y x ] + +> print_coeff__lc_of_data(%, "coeff_dzz_", "fp", +> "3d.coeffs/3d.cube.order3/coeff-dzz.compute.c"); +bytes used=39539386988, alloc=56350640, time=13035.97 +bytes used=39540387164, alloc=56350640, time=13036.07 +bytes used=39541387348, alloc=56350640, time=13036.17 +bytes used=39542387536, alloc=56350640, time=13036.28 +bytes used=39543387968, alloc=56350640, time=13036.38 +bytes used=39544388160, alloc=56350640, time=13036.48 +bytes 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used=42190715236, alloc=56350640, time=14534.94 +> +################################################################################ +> quit +bytes used=42191303124, alloc=56350640, time=14535.03 diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/3d.maple b/src/GeneralizedPolynomial-Uniform/Hermite/3d.maple new file mode 100644 index 0000000..ae52a9f --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/3d.maple @@ -0,0 +1,170 @@ +# 3d.maple -- compute Hermite interpolation coefficients in 3-D +# $Header$ + +################################################################################ + +# +# 3d, cube, polynomial order=3, derivatives via 3-point order=2 formula +# ==> overall order=2, 4-point molecule +# + +# interpolating polynomial +interp_3d_cube_order2 + := Hermite_polynomial_interpolant(fn_3d_order3, + coeff_set_3d_order3, + [x,y,z], + { + {x} = deriv_3d_dx_3point, + {y} = deriv_3d_dy_3point, + {z} = deriv_3d_dz_3point, + {x,y} = deriv_3d_dxy_3point, + {x,z} = deriv_3d_dxz_3point, + {y,z} = deriv_3d_dyz_3point, + {x,y,z} = deriv_3d_dxyz_3point + }, + {op(posn_list_3d_size2)}, + {op(posn_list_3d_size2)}); + +# I +coeff_as_lc_of_data(%, posn_list_3d_size4); +print_coeff__lc_of_data(%, "coeff_I_", "fp", + "3d.coeffs/3d.cube.order2/coeff-I.compute.c"); + +# d/dx +simplify( diff(interp_3d_cube_order2,x) ); +coeff_as_lc_of_data(%, posn_list_3d_size4); +print_coeff__lc_of_data(%, "coeff_dx_", "fp", + "3d.coeffs/3d.cube.order2/coeff-dx.compute.c"); + +# d/dy +simplify( diff(interp_3d_cube_order2,y) ); +coeff_as_lc_of_data(%, posn_list_3d_size4); +print_coeff__lc_of_data(%, "coeff_dy_", "fp", + "3d.coeffs/3d.cube.order2/coeff-dy.compute.c"); + +# d/dz +simplify( diff(interp_3d_cube_order2,z) ); +coeff_as_lc_of_data(%, posn_list_3d_size4); +print_coeff__lc_of_data(%, "coeff_dz_", "fp", + "3d.coeffs/3d.cube.order2/coeff-dz.compute.c"); + +# d^2/dx^2 +simplify( diff(interp_3d_cube_order2,x,x) ); +coeff_as_lc_of_data(%, posn_list_3d_size4); +print_coeff__lc_of_data(%, "coeff_dxx_", "fp", + "3d.coeffs/3d.cube.order2/coeff-dxx.compute.c"); + +# d^2/dxdy +simplify( diff(interp_3d_cube_order2,x,y) ); +coeff_as_lc_of_data(%, posn_list_3d_size4); +print_coeff__lc_of_data(%, "coeff_dxy_", "fp", + "3d.coeffs/3d.cube.order2/coeff-dxy.compute.c"); + +# d^2/dxdz +simplify( diff(interp_3d_cube_order2,x,z) ); +coeff_as_lc_of_data(%, posn_list_3d_size4); +print_coeff__lc_of_data(%, "coeff_dxz_", "fp", + "3d.coeffs/3d.cube.order2/coeff-dxz.compute.c"); + +# d^2/dy^2 +simplify( diff(interp_3d_cube_order2,y,y) ); +coeff_as_lc_of_data(%, posn_list_3d_size4); +print_coeff__lc_of_data(%, "coeff_dyy_", "fp", + "3d.coeffs/3d.cube.order2/coeff-dyy.compute.c"); + +# d^2/dydz +simplify( diff(interp_3d_cube_order2,y,z) ); +coeff_as_lc_of_data(%, posn_list_3d_size4); +print_coeff__lc_of_data(%, "coeff_dyz_", "fp", + "3d.coeffs/3d.cube.order2/coeff-dyz.compute.c"); + +# d^2/dz^2 +simplify( diff(interp_3d_cube_order2,z,z) ); +coeff_as_lc_of_data(%, posn_list_3d_size4); +print_coeff__lc_of_data(%, "coeff_dzz_", "fp", + "3d.coeffs/3d.cube.order2/coeff-dzz.compute.c"); + +################################################################################ + +# +# 3d, cube, polynomial order=3, derivatives via 5-point order=4 formula +# ==> overall order=3, 6-point molecule +# + +# interpolating polynomial +interp_3d_cube_order3 + := Hermite_polynomial_interpolant(fn_3d_order3, + coeff_set_3d_order3, + [x,y,z], + { + {x} = deriv_3d_dx_5point, + {y} = deriv_3d_dy_5point, + {z} = deriv_3d_dz_5point, + {x,y} = deriv_3d_dxy_5point, + {x,z} = deriv_3d_dxz_5point, + {y,z} = deriv_3d_dyz_5point, + {x,y,z} = deriv_3d_dxyz_5point + }, + {op(posn_list_3d_size2)}, + {op(posn_list_3d_size2)}); + +# I +coeff_as_lc_of_data(%, posn_list_3d_size6); +print_coeff__lc_of_data(%, "coeff_I_", "fp", + "3d.coeffs/3d.cube.order3/coeff-I.compute.c"); + +# d/dx +simplify( diff(interp_3d_cube_order3,x) ); +coeff_as_lc_of_data(%, posn_list_3d_size6); +print_coeff__lc_of_data(%, "coeff_dx_", "fp", + "3d.coeffs/3d.cube.order3/coeff-dx.compute.c"); + +# d/dy +simplify( diff(interp_3d_cube_order3,y) ); +coeff_as_lc_of_data(%, posn_list_3d_size6); +print_coeff__lc_of_data(%, "coeff_dy_", "fp", + "3d.coeffs/3d.cube.order3/coeff-dy.compute.c"); + +# d/dz +simplify( diff(interp_3d_cube_order3,z) ); +coeff_as_lc_of_data(%, posn_list_3d_size6); +print_coeff__lc_of_data(%, "coeff_dz_", "fp", + "3d.coeffs/3d.cube.order3/coeff-dz.compute.c"); + +# d^2/dx^2 +simplify( diff(interp_3d_cube_order3,x,x) ); +coeff_as_lc_of_data(%, posn_list_3d_size6); +print_coeff__lc_of_data(%, "coeff_dxx_", "fp", + "3d.coeffs/3d.cube.order3/coeff-dxx.compute.c"); + +# d^2/dxdy +simplify( diff(interp_3d_cube_order3,x,y) ); +coeff_as_lc_of_data(%, posn_list_3d_size6); +print_coeff__lc_of_data(%, "coeff_dxy_", "fp", + "3d.coeffs/3d.cube.order3/coeff-dxy.compute.c"); + +# d^2/dxdz +simplify( diff(interp_3d_cube_order3,x,z) ); +coeff_as_lc_of_data(%, posn_list_3d_size6); +print_coeff__lc_of_data(%, "coeff_dxz_", "fp", + "3d.coeffs/3d.cube.order3/coeff-dxz.compute.c"); + +# d^2/dy^2 +simplify( diff(interp_3d_cube_order3,y,y) ); +coeff_as_lc_of_data(%, posn_list_3d_size6); +print_coeff__lc_of_data(%, "coeff_dyy_", "fp", + "3d.coeffs/3d.cube.order3/coeff-dyy.compute.c"); + +# d^2/dydz +simplify( diff(interp_3d_cube_order3,y,z) ); +coeff_as_lc_of_data(%, posn_list_3d_size6); +print_coeff__lc_of_data(%, "coeff_dyz_", "fp", + "3d.coeffs/3d.cube.order3/coeff-dyz.compute.c"); + +# d^2/dz^2 +simplify( diff(interp_3d_cube_order3,z,z) ); +coeff_as_lc_of_data(%, posn_list_3d_size6); +print_coeff__lc_of_data(%, "coeff_dzz_", "fp", + "3d.coeffs/3d.cube.order3/coeff-dzz.compute.c"); + +################################################################################ diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/all_prototypes.h b/src/GeneralizedPolynomial-Uniform/Hermite/all_prototypes.h new file mode 100644 index 0000000..c084e3b --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/all_prototypes.h @@ -0,0 +1,44 @@ +/* all-prototypes.h -- C prototypes for all template-generated functions */ +/* $Header$ */ + +/* + * 1D + */ + +#undef FUNCTION_NAME +#define FUNCTION_NAME LocalInterp_UHermite_1dcube_2 +#include "template.h" + +#undef FUNCTION_NAME +#define FUNCTION_NAME LocalInterp_UHermite_1dcube_3 +#include "template.h" + +#undef FUNCTION_NAME +#define FUNCTION_NAME LocalInterp_UHermite_1dcube_4 +#include "template.h" + + +/* + * 2D + */ + +#undef FUNCTION_NAME +#define FUNCTION_NAME LocalInterp_UHermite_2dcube_2 +#include "template.h" + +#undef FUNCTION_NAME +#define FUNCTION_NAME LocalInterp_UHermite_2dcube_3 +#include "template.h" + + +/* + * 3D + */ + +#undef FUNCTION_NAME +#define FUNCTION_NAME LocalInterp_UHermite_3dcube_2 +#include "template.h" + +#undef FUNCTION_NAME +#define FUNCTION_NAME LocalInterp_UHermite_3dcube_3 +#include "template.h" diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/fns.maple b/src/GeneralizedPolynomial-Uniform/Hermite/fns.maple new file mode 100644 index 0000000..b049ed4 --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/fns.maple @@ -0,0 +1,451 @@ +# Maple code to define Hermite interpolating functions/coords/coeffs/mols +# $Header$ + +# +# Note: +# interpolation order 2 <==> fn order 3, 3-point (2nd order) derivative mols +# interpolation order 3 <==> fn order 3, 5-point (4th order) derivative mols +# interpolation order 4 <==> fn order 5, 5-point (4th order) derivative mols +# + +################################################################################ +################################################################################ +################################################################################ + +# +# derivative primitives +# (argument is a procedure which should map m into the DATA() reference) +# + +dx_3point := +proc(f::procedure(integer)) +(1/2) * (-f(-1) + f(+1)) +end proc; + +dx_5point := +proc(f::procedure(integer)) +(1/12) * (f(-2) - 8*f(-1) + 8*f(+1) - f(+2)) +end proc; + +################################################################################ +################################################################################ +################################################################################ + +# +# 1-D interpolating functions +# + +fn_1d_order3 := +proc(x) ++ c0 + c1*x + c2*x^2 + c3*x^3 +end proc; + +fn_1d_order5 := +proc(x) ++ c0 + c1*x + c2*x^2 + c3*x^3 + c4*x^4 + c5*x^5 +end proc; + +################################################################################ + +# coordinates for 1-D interpolating functions +coord_list_1d := [x]; + +################################################################################ + +# +# coefficients in 1-D interpolating functions +# + +coeff_set_1d_order3 := {c0, c1, c2, c3}; +coeff_set_1d_order5 := {c0, c1, c2, c3, c4, c5}; + +################################################################################ + +# +# 1-D derivative molecules (argument = molecule center) +# + +deriv_1d_dx_3point := proc(i::integer) + dx_3point(proc(mi::integer) DATA(i+mi) end proc) + end proc; +deriv_1d_dx_5point := proc(i::integer) + dx_5point(proc(mi::integer) DATA(i+mi) end proc) + end proc; + +################################################################################ +################################################################################ +################################################################################ + +# +# 2-D interpolating functions +# + +fn_2d_order3 := +proc(x,y) ++ c03*y^3 + c13*x*y^3 + c23*x^2*y^3 + c33*x^3*y^3 ++ c02*y^2 + c12*x*y^2 + c22*x^2*y^2 + c32*x^3*y^2 ++ c01*y + c11*x*y + c21*x^2*y + c31*x^3*y ++ c00 + c10*x + c20*x^2 + c30*x^3 +end proc; + +fn_2d_order5 := +proc(x,y) ++ c05*y^5 + c15*x*y^5 + c25*x^2*y^5 + c35*x^3*y^5 + c45*x^4*y^5 + c55*x^5*y^5 ++ c04*y^4 + c14*x*y^4 + c24*x^2*y^4 + c34*x^3*y^4 + c44*x^4*y^4 + c54*x^5*y^4 ++ c03*y^3 + c13*x*y^3 + c23*x^2*y^3 + c33*x^3*y^3 + c43*x^4*y^3 + c53*x^5*y^3 ++ c02*y^2 + c12*x*y^2 + c22*x^2*y^2 + c32*x^3*y^2 + c42*x^4*y^2 + c52*x^5*y^2 ++ c01*y + c11*x*y + c21*x^2*y + c31*x^3*y + c41*x^4*y + c51*x^5*y ++ c00 + c10*x + c20*x^2 + c30*x^3 + c40*x^4 + c50*x^5 +end proc; + +################################################################################ + +# coordinates for 2-D interpolating functions +coord_list_2d := [x,y]; + +################################################################################ + +# +# coefficients in 2-D interpolating functions +# + +coeff_set_2d_order3 := { + c03, c13, c23, c33, + c02, c12, c22, c32, + c01, c11, c21, c31, + c00, c10, c20, c30 + }; + +coeff_set_2d_order5 := { + c05, c15, c25, c35, c45, c55, + c04, c14, c24, c34, c44, c54, + c03, c13, c23, c33, c43, c53, + c02, c12, c22, c32, c42, c52, + c01, c11, c21, c31, c41, c51, + c00, c10, c20, c30, c40, c50 + }; + +################################################################################ + +# +# 2-D derivative molecules (arguments = molecule center) +# + +deriv_2d_dx_3point := proc(i::integer, j::integer) + dx_3point( + proc(mi::integer) DATA(i+mi,j) end proc + ) + end proc; +deriv_2d_dy_3point := proc(i::integer, j::integer) + dx_3point( + proc(mj::integer) DATA(i,j+mj) end proc + ) + end proc; +deriv_2d_dxy_3point := proc(i::integer, j::integer) + dx_3point( + proc(mi::integer) + dx_3point(proc(mj::integer) DATA(i+mi,j+mj) end proc) + end proc + ) + end proc; + +deriv_2d_dx_5point := proc(i::integer, j::integer) + dx_5point( + proc(mi::integer) DATA(i+mi,j) end proc + ) + end proc; +deriv_2d_dy_5point := proc(i::integer, j::integer) + dx_5point( + proc(mj::integer) DATA(i,j+mj) end proc + ) + end proc; +deriv_2d_dxy_5point := proc(i::integer, j::integer) + dx_5point( + proc(mi::integer) + dx_5point(proc(mj::integer) DATA(i+mi,j+mj) end proc) + end proc + ) + end proc; + +################################################################################ +################################################################################ +################################################################################ + +# +# 3-D interpolating functions +# + +fn_3d_order3 := +proc(x,y,z) +# z^3 --------------------------------------------------------------- ++ c033*y^3*z^3 + c133*x*y^3*z^3 + c233*x^2*y^3*z^3 + c333*x^3*y^3*z^3 ++ c023*y^2*z^3 + c123*x*y^2*z^3 + c223*x^2*y^2*z^3 + c323*x^3*y^2*z^3 ++ c013*y *z^3 + c113*x*y *z^3 + c213*x^2*y *z^3 + c313*x^3*y *z^3 ++ c003 *z^3 + c103*x *z^3 + c203*x^2 *z^3 + c303*x^3 *z^3 +# z^2 --------------------------------------------------------------- ++ c032*y^3*z^2 + c132*x*y^3*z^2 + c232*x^2*y^3*z^2 + c332*x^3*y^3*z^2 ++ c022*y^2*z^2 + c122*x*y^2*z^2 + c222*x^2*y^2*z^2 + c322*x^3*y^2*z^2 ++ c012*y *z^2 + c112*x*y *z^2 + c212*x^2*y *z^2 + c312*x^3*y *z^2 ++ c002 *z^2 + c102*x *z^2 + c202*x^2 *z^2 + c302*x^3 *z^2 +# z^1 --------------------------------------------------------------- ++ c031*y^3*z + c131*x*y^3*z + c231*x^2*y^3*z + c331*x^3*y^3*z ++ c021*y^2*z + c121*x*y^2*z + c221*x^2*y^2*z + c321*x^3*y^2*z ++ c011*y *z + c111*x*y *z + c211*x^2*y *z + c311*x^3*y *z ++ c001 *z + c101*x *z + c201*x^2 *z + c301*x^3 *z +# z^0 --------------------------------------------------------------- ++ c030*y^3 + c130*x*y^3 + c230*x^2*y^3 + c330*x^3*y^3 ++ c020*y^2 + c120*x*y^2 + c220*x^2*y^2 + c320*x^3*y^2 ++ c010*y + c110*x*y + c210*x^2*y + c310*x^3*y ++ c000 + c100*x + c200*x^2 + c300*x^3 +end proc; + +fn_3d_order5 := +proc(x,y,z) +# z^5 ++ c055*y^5*z^5 + c155*x*y^5*z^5 + c255*x^2*y^5*z^5 + c355*x^3*y^5*z^5 + c455*x^4*y^5*z^5 + c555*x^5*y^5*z^5 ++ c045*y^4*z^5 + c145*x*y^4*z^5 + c245*x^2*y^4*z^5 + c345*x^3*y^4*z^5 + c445*x^4*y^4*z^5 + c545*x^5*y^4*z^5 ++ c035*y^3*z^5 + c135*x*y^3*z^5 + c235*x^2*y^3*z^5 + c335*x^3*y^3*z^5 + c435*x^4*y^3*z^5 + c535*x^5*y^3*z^5 ++ c025*y^2*z^5 + c125*x*y^2*z^5 + c225*x^2*y^2*z^5 + c325*x^3*y^2*z^5 + c425*x^4*y^2*z^5 + c525*x^5*y^2*z^5 ++ c015*y *z^5 + c115*x*y *z^5 + c215*x^2*y *z^5 + c315*x^3*y *z^5 + c415*x^4*y *z^5 + c515*x^5*y *z^5 ++ c005 *z^5 + c105*x *z^5 + c205*x^2 *z^5 + c305*x^3 *z^5 + c405*x^4 *z^5 + c505*x^5 *z^5 +# z^4 ++ c054*y^5*z^4 + c154*x*y^5*z^4 + c254*x^2*y^5*z^4 + c354*x^3*y^5*z^4 + c454*x^4*y^5*z^4 + c554*x^5*y^5*z^4 ++ c044*y^4*z^4 + c144*x*y^4*z^4 + c244*x^2*y^4*z^4 + c344*x^3*y^4*z^4 + c444*x^4*y^4*z^4 + c544*x^5*y^4*z^4 ++ c034*y^3*z^4 + c134*x*y^3*z^4 + c234*x^2*y^3*z^4 + c334*x^3*y^3*z^4 + c434*x^4*y^3*z^4 + c534*x^5*y^3*z^4 ++ c024*y^2*z^4 + c124*x*y^2*z^4 + c224*x^2*y^2*z^4 + c324*x^3*y^2*z^4 + c424*x^4*y^2*z^4 + c524*x^5*y^2*z^4 ++ c014*y *z^4 + c114*x*y *z^4 + c214*x^2*y *z^4 + c314*x^3*y *z^4 + c414*x^4*y *z^4 + c514*x^5*y *z^4 ++ c004 *z^4 + c104*x *z^4 + c204*x^2 *z^4 + c304*x^3 *z^4 + c404*x^4 *z^4 + c504*x^5 *z^4 +# z^3 ++ c053*y^5*z^3 + c153*x*y^5*z^3 + c253*x^2*y^5*z^3 + c353*x^3*y^5*z^3 + c453*x^4*y^5*z^3 + c553*x^5*y^5*z^3 ++ c043*y^4*z^3 + c143*x*y^4*z^3 + c243*x^2*y^4*z^3 + c343*x^3*y^4*z^3 + c443*x^4*y^4*z^3 + c543*x^5*y^4*z^3 ++ c033*y^3*z^3 + c133*x*y^3*z^3 + c233*x^2*y^3*z^3 + c333*x^3*y^3*z^3 + c433*x^4*y^3*z^3 + c533*x^5*y^3*z^3 ++ c023*y^2*z^3 + c123*x*y^2*z^3 + c223*x^2*y^2*z^3 + c323*x^3*y^2*z^3 + c423*x^4*y^2*z^3 + c523*x^5*y^2*z^3 ++ c013*y *z^3 + c113*x*y *z^3 + c213*x^2*y *z^3 + c313*x^3*y *z^3 + c413*x^4*y *z^3 + c513*x^5*y *z^3 ++ c003 *z^3 + c103*x *z^3 + c203*x^2 *z^3 + c303*x^3 *z^3 + c403*x^4 *z^3 + c503*x^5 *z^3 +# z^2 ++ c052*y^5*z^2 + c152*x*y^5*z^2 + c252*x^2*y^5*z^2 + c352*x^3*y^5*z^2 + c452*x^4*y^5*z^2 + c552*x^5*y^5*z^2 ++ c042*y^4*z^2 + c142*x*y^4*z^2 + c242*x^2*y^4*z^2 + c342*x^3*y^4*z^2 + c442*x^4*y^4*z^2 + c542*x^5*y^4*z^2 ++ c032*y^3*z^2 + c132*x*y^3*z^2 + c232*x^2*y^3*z^2 + c332*x^3*y^3*z^2 + c432*x^4*y^3*z^2 + c532*x^5*y^3*z^2 ++ c022*y^2*z^2 + c122*x*y^2*z^2 + c222*x^2*y^2*z^2 + c322*x^3*y^2*z^2 + c422*x^4*y^2*z^2 + c522*x^5*y^2*z^2 ++ c012*y *z^2 + c112*x*y *z^2 + c212*x^2*y *z^2 + c312*x^3*y *z^2 + c412*x^4*y *z^2 + c512*x^5*y *z^2 ++ c002 *z^2 + c102*x *z^2 + c202*x^2 *z^2 + c302*x^3 *z^2 + c402*x^4 *z^2 + c502*x^5 *z^2 +# z^1 ++ c051*y^5*z + c151*x*y^5*z + c251*x^2*y^5*z + c351*x^3*y^5*z + c451*x^4*y^5*z + c551*x^5*y^5*z ++ c041*y^4*z + c141*x*y^4*z + c241*x^2*y^4*z + c341*x^3*y^4*z + c441*x^4*y^4*z + c541*x^5*y^4*z ++ c031*y^3*z + c131*x*y^3*z + c231*x^2*y^3*z + c331*x^3*y^3*z + c431*x^4*y^3*z + c531*x^5*y^3*z ++ c021*y^2*z + c121*x*y^2*z + c221*x^2*y^2*z + c321*x^3*y^2*z + c421*x^4*y^2*z + c521*x^5*y^2*z ++ c011*y *z + c111*x*y *z + c211*x^2*y *z + c311*x^3*y *z + c411*x^4*y *z + c511*x^5*y *z ++ c001 *z + c101*x *z + c201*x^2 *z + c301*x^3 *z + c401*x^4 *z + c501*x^5 *z +# z^0 ++ c050*y^5 + c150*x*y^5 + c250*x^2*y^5 + c350*x^3*y^5 + c450*x^4*y^5 + c550*x^5*y^5 ++ c040*y^4 + c140*x*y^4 + c240*x^2*y^4 + c340*x^3*y^4 + c440*x^4*y^4 + c540*x^5*y^4 ++ c030*y^3 + c130*x*y^3 + c230*x^2*y^3 + c330*x^3*y^3 + c430*x^4*y^3 + c530*x^5*y^3 ++ c020*y^2 + c120*x*y^2 + c220*x^2*y^2 + c320*x^3*y^2 + c420*x^4*y^2 + c520*x^5*y^2 ++ c010*y + c110*x*y + c210*x^2*y + c310*x^3*y + c410*x^4*y + c510*x^5*y ++ c000 + c100*x + c200*x^2 + c300*x^3 + c400*x^4 + c500*x^5 +end proc; + +################################################################################ + +# coordinates for 3-D interpolating functions +coord_list_3d := [x,y,z]; + +################################################################################ + +# +# coefficients in 3-D interpolating functions +# + +coeff_set_3d_order3 := { + # z^3 + c033, c133, c233, c333, + c023, c123, c223, c323, + c013, c113, c213, c313, + c003, c103, c203, c303, + # z^2 + c032, c132, c232, c332, + c022, c122, c222, c322, + c012, c112, c212, c312, + c002, c102, c202, c302, + # z^1 + c031, c131, c231, c331, + c021, c121, c221, c321, + c011, c111, c211, c311, + c001, c101, c201, c301, + # z^0 + c030, c130, c230, c330, + c020, c120, c220, c320, + c010, c110, c210, c310, + c000, c100, c200, c300 + }; + +coeff_set_3d_order5 := { + # z^5 + c055, c155, c255, c355, c455, c555, + c045, c145, c245, c345, c445, c545, + c035, c135, c235, c335, c435, c535, + c025, c125, c225, c325, c425, c525, + c015, c115, c215, c315, c415, c515, + c005, c105, c205, c305, c405, c505, + # z^4 + c054, c154, c254, c354, c454, c554, + c044, c144, c244, c344, c444, c544, + c034, c134, c234, c334, c434, c534, + c024, c124, c224, c324, c424, c524, + c014, c114, c214, c314, c414, c514, + c004, c104, c204, c304, c404, c504, + # z^3 + c053, c153, c253, c353, c453, c553, + c043, c143, c243, c343, c443, c543, + c033, c133, c233, c333, c433, c533, + c023, c123, c223, c323, c423, c523, + c013, c113, c213, c313, c413, c513, + c003, c103, c203, c303, c403, c503, + # z^2 + c052, c152, c252, c352, c452, c552, + c042, c142, c242, c342, c442, c542, + c032, c132, c232, c332, c432, c532, + c022, c122, c222, c322, c422, c522, + c012, c112, c212, c312, c412, c512, + c002, c102, c202, c302, c402, c502, + # z^1 + c051, c151, c251, c351, c451, c551, + c041, c141, c241, c341, c441, c541, + c031, c131, c231, c331, c431, c531, + c021, c121, c221, c321, c421, c521, + c011, c111, c211, c311, c411, c511, + c001, c101, c201, c301, c401, c501, + # z^0 + c050, c150, c250, c350, c450, c550, + c040, c140, c240, c340, c440, c540, + c030, c130, c230, c330, c430, c530, + c020, c120, c220, c320, c420, c520, + c010, c110, c210, c310, c410, c510, + c000, c100, c200, c300, c400, c500 + }; + +################################################################################ + +# +# 3-D derivative molecules (arguments = molecule center) +# + +deriv_3d_dx_3point := proc(i::integer, j::integer, k::integer) + dx_3point( + proc(mi::integer) DATA(i+mi,j,k) end proc + ) + end proc; +deriv_3d_dy_3point := proc(i::integer, j::integer, k::integer) + dx_3point( + proc(mj::integer) DATA(i,j+mj,k) end proc + ) + end proc; +deriv_3d_dz_3point := proc(i::integer, j::integer, k::integer) + dx_3point( + proc(mk::integer) DATA(i,j,k+mk) end proc + ) + end proc; +deriv_3d_dxy_3point := proc(i::integer, j::integer, k::integer) + dx_3point( + proc(mi::integer) + dx_3point( + proc(mj::integer) DATA(i+mi,j+mj,k) end proc + ) + end proc + ) + end proc; +deriv_3d_dxz_3point := proc(i::integer, j::integer, k::integer) + dx_3point( + proc(mi::integer) + dx_3point( + proc(mk::integer) DATA(i+mi,j,k+mk) end proc + ) + end proc + ) + end proc; +deriv_3d_dyz_3point := proc(i::integer, j::integer, k::integer) + dx_3point( + proc(mj::integer) + dx_3point( + proc(mk::integer) DATA(i,j+mj,k+mk) end proc + ) + end proc + ) + end proc; +deriv_3d_dxyz_3point := proc(i::integer, j::integer, k::integer) + dx_3point( + proc(mi::integer) + dx_3point( + proc(mj::integer) + dx_3point( + proc(mk::integer) + DATA(i+mi,j+mj,k+mk) + end proc + ) + end proc + ) + end proc + ) + end proc; + +deriv_3d_dx_5point := proc(i::integer, j::integer, k::integer) + dx_5point( + proc(mi::integer) DATA(i+mi,j,k) end proc + ) + end proc; +deriv_3d_dy_5point := proc(i::integer, j::integer, k::integer) + dx_5point( + proc(mj::integer) DATA(i,j+mj,k) end proc + ) + end proc; +deriv_3d_dz_5point := proc(i::integer, j::integer, k::integer) + dx_5point( + proc(mk::integer) DATA(i,j,k+mk) end proc + ) + end proc; +deriv_3d_dxy_5point := proc(i::integer, j::integer, k::integer) + dx_5point( + proc(mi::integer) + dx_5point( + proc(mj::integer) DATA(i+mi,j+mj,k) end proc + ) + end proc + ) + end proc; +deriv_3d_dxz_5point := proc(i::integer, j::integer, k::integer) + dx_5point( + proc(mi::integer) + dx_5point( + proc(mk::integer) DATA(i+mi,j,k+mk) end proc + ) + end proc + ) + end proc; +deriv_3d_dyz_5point := proc(i::integer, j::integer, k::integer) + dx_5point( + proc(mj::integer) + dx_5point( + proc(mk::integer) DATA(i,j+mj,k+mk) end proc + ) + end proc + ) + end proc; +deriv_3d_dxyz_5point := proc(i::integer, j::integer, k::integer) + dx_5point( + proc(mi::integer) + dx_5point( + proc(mj::integer) + dx_5point( + proc(mk::integer) + DATA(i+mi,j+mj,k+mk) + end proc + ) + end proc + ) + end proc + ) + end proc; + +################################################################################ +################################################################################ +################################################################################ diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/make.code.defn b/src/GeneralizedPolynomial-Uniform/Hermite/make.code.defn new file mode 100644 index 0000000..f83d6ca --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/make.code.defn @@ -0,0 +1,15 @@ +# make.code.defn file for Lagrange polynomial interpolation +# $Header$ + +# Source files in this directory +SRCS = \ + 1d.cube.order2.c \ + 1d.cube.order3.c \ + 1d.cube.order4.c \ + \ + 2d.cube.order2.c \ + 2d.cube.order3.c \ + \ + 3d.cube.order2.c \ + 3d.cube.order3.c \ + # end of list diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/makefile b/src/GeneralizedPolynomial-Uniform/Hermite/makefile new file mode 100644 index 0000000..54437a0 --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Hermite/makefile @@ -0,0 +1,66 @@ +# $Header: /mnt/data2/cvs2svn/cvs-repositories/arrangements/CactusBase/LocalInterp/src/GeneralizedPolynomial-Uniform/Hermite/makefile,v 1.1.1.1 2002-08-28 11:42:21 jthorn Exp $ + +.PHONY : no-default-target +no-default-target: + @echo 'there is (deliberately) no default target in this makefile,' + @echo 'because (re)generating all the coefficients is quite slow :(' + @echo '==> see the makefile to find out about explicit targets' + +# +# main targets: rebuild machine-generated coefficient files +# + +.PHONY : 1d +1d : + -rm -f 1d.coeffs/*/*.c + cat ../util.maple ../interpolate.maple \ + ../common/cube_posns.maple fns.maple 1d.maple \ + | maple 2>&1 >1d.log + +# with Maple 7, this takes about 30 seconds on a 1.7GHz P4 +.PHONY : 2d +2d : + -rm -f 2d.coeffs/*/*.c + cat ../util.maple ../interpolate.maple \ + ../common/cube_posns.maple fns.maple 2d.maple \ + | maple 2>&1 >2d.log + +# with Maple 7, this takes about 4 hours on a 1.7GHz P4, +# and uses about 60MB memory +.PHONY : 3d +3d : + -rm -f 3d.coeffs/*/*.c + cat ../util.maple ../interpolate.maple \ + ../common/cube_posns.maple fns.maple 3d.maple \ + | maple 2>&1 >3d.log + +################################################################################ + +# +# targets to initially create directories for machine-generated coefficients +# these only need to be run if you're setting up a new interpolator, +# i.e. if you don't already have the directories in cvs +# (you still have to add them to cvs by hand) +# + +.PHONY : 1d.dirs +1d.dirs: + -rm -rf 1d.coeffs + mkdir 1d.coeffs + cd 1d.coeffs && mkdir 1d.cube.order2 + cd 1d.coeffs && mkdir 1d.cube.order3 + cd 1d.coeffs && mkdir 1d.cube.order4 + +.PHONY : 2d.dirs +2d.dirs: + -rm -rf 2d.coeffs + mkdir 2d.coeffs + cd 2d.coeffs && mkdir 2d.cube.order2 + cd 2d.coeffs && mkdir 2d.cube.order3 + +.PHONY : 3d.dirs +3d.dirs: + -rm -rf 3d.coeffs + mkdir 3d.coeffs + cd 3d.coeffs && mkdir 3d.cube.order2 + cd 3d.coeffs && mkdir 3d.cube.order3 -- cgit v1.2.3