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|
/* File produced by user eschnett */
/* Produced with Mathematica Version 7.0 for Mac OS X x86 (64-bit) (November 11, 2008) */
/* Mathematica script written by Ian Hinder and Sascha Husa */
#define KRANC_C
#include <assert.h>
#include <math.h>
#include <stdio.h>
#include <stdlib.h>
#include "cctk.h"
#include "cctk_Arguments.h"
#include "cctk_Parameters.h"
#include "GenericFD.h"
#include "Differencing.h"
#include "loopcontrol.h"
/* Define macros used in calculations */
#define INITVALUE (42)
#define INV(x) ((1.0) / (x))
#define SQR(x) ((x) * (x))
#define CUB(x) ((x) * (x) * (x))
#define QAD(x) ((x) * (x) * (x) * (x))
void ML_BSSN_MP_constraints_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[])
{
DECLARE_CCTK_ARGUMENTS;
DECLARE_CCTK_PARAMETERS;
/* Declare finite differencing variables */
CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE;
CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE;
CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE;
CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE;
/* Declare predefined quantities */
CCTK_REAL p1o12dx = INITVALUE;
CCTK_REAL p1o12dy = INITVALUE;
CCTK_REAL p1o12dz = INITVALUE;
CCTK_REAL p1o144dxdy = INITVALUE;
CCTK_REAL p1o144dxdz = INITVALUE;
CCTK_REAL p1o144dydz = INITVALUE;
CCTK_REAL p1odx = INITVALUE;
CCTK_REAL p1ody = INITVALUE;
CCTK_REAL p1odz = INITVALUE;
CCTK_REAL pm1o12dx2 = INITVALUE;
CCTK_REAL pm1o12dy2 = INITVALUE;
CCTK_REAL pm1o12dz2 = INITVALUE;
if (verbose > 1)
{
CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_MP_constraints_Body");
}
if (cctk_iteration % ML_BSSN_MP_constraints_calc_every != ML_BSSN_MP_constraints_calc_offset)
{
return;
}
/* Include user-supplied include files */
/* Initialise finite differencing variables */
dx = CCTK_DELTA_SPACE(0);
dy = CCTK_DELTA_SPACE(1);
dz = CCTK_DELTA_SPACE(2);
dxi = 1.0 / dx;
dyi = 1.0 / dy;
dzi = 1.0 / dz;
khalf = 0.5;
kthird = 1/3.0;
ktwothird = 2.0/3.0;
kfourthird = 4.0/3.0;
keightthird = 8.0/3.0;
hdxi = 0.5 * dxi;
hdyi = 0.5 * dyi;
hdzi = 0.5 * dzi;
/* Initialize predefined quantities */
p1o12dx = INV(dx)/12.;
p1o12dy = INV(dy)/12.;
p1o12dz = INV(dz)/12.;
p1o144dxdy = (INV(dx)*INV(dy))/144.;
p1o144dxdz = (INV(dx)*INV(dz))/144.;
p1o144dydz = (INV(dy)*INV(dz))/144.;
p1odx = INV(dx);
p1ody = INV(dy);
p1odz = INV(dz);
pm1o12dx2 = -pow(dx,-2)/12.;
pm1o12dy2 = -pow(dy,-2)/12.;
pm1o12dz2 = -pow(dz,-2)/12.;
/* Loop over the grid points */
#pragma omp parallel
LC_LOOP3 (ML_BSSN_MP_constraints,
i,j,k, min[0],min[1],min[2], max[0],max[1],max[2],
cctk_lssh[CCTK_LSSH_IDX(0,0)],cctk_lssh[CCTK_LSSH_IDX(0,1)],cctk_lssh[CCTK_LSSH_IDX(0,2)])
{
int index = INITVALUE;
int subblock_index = INITVALUE;
index = CCTK_GFINDEX3D(cctkGH,i,j,k);
subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2]));
/* Declare shorthands */
CCTK_REAL Atm11 = INITVALUE, Atm12 = INITVALUE, Atm13 = INITVALUE, Atm21 = INITVALUE, Atm22 = INITVALUE, Atm23 = INITVALUE;
CCTK_REAL Atm31 = INITVALUE, Atm32 = INITVALUE, Atm33 = INITVALUE;
CCTK_REAL detgt = INITVALUE;
CCTK_REAL e4phi = INITVALUE;
CCTK_REAL em4phi = INITVALUE;
CCTK_REAL Gt111 = INITVALUE, Gt112 = INITVALUE, Gt113 = INITVALUE, Gt122 = INITVALUE, Gt123 = INITVALUE, Gt133 = INITVALUE;
CCTK_REAL Gt211 = INITVALUE, Gt212 = INITVALUE, Gt213 = INITVALUE, Gt222 = INITVALUE, Gt223 = INITVALUE, Gt233 = INITVALUE;
CCTK_REAL Gt311 = INITVALUE, Gt312 = INITVALUE, Gt313 = INITVALUE, Gt322 = INITVALUE, Gt323 = INITVALUE, Gt333 = INITVALUE;
CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE;
CCTK_REAL gu11 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE;
CCTK_REAL R11 = INITVALUE, R12 = INITVALUE, R13 = INITVALUE, R22 = INITVALUE, R23 = INITVALUE, R33 = INITVALUE;
CCTK_REAL Rphi11 = INITVALUE, Rphi12 = INITVALUE, Rphi13 = INITVALUE, Rphi22 = INITVALUE, Rphi23 = INITVALUE, Rphi33 = INITVALUE;
CCTK_REAL Rt11 = INITVALUE, Rt12 = INITVALUE, Rt13 = INITVALUE, Rt22 = INITVALUE, Rt23 = INITVALUE, Rt33 = INITVALUE;
CCTK_REAL trR = INITVALUE;
/* Declare local copies of grid functions */
CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE;
CCTK_REAL cAL = INITVALUE;
CCTK_REAL cSL = INITVALUE;
CCTK_REAL cXt1L = INITVALUE, cXt2L = INITVALUE, cXt3L = INITVALUE;
CCTK_REAL dJ111L = INITVALUE, dJ112L = INITVALUE, dJ113L = INITVALUE, dJ122L = INITVALUE, dJ123L = INITVALUE, dJ133L = INITVALUE;
CCTK_REAL dJ211L = INITVALUE, dJ212L = INITVALUE, dJ213L = INITVALUE, dJ222L = INITVALUE, dJ223L = INITVALUE, dJ233L = INITVALUE;
CCTK_REAL dJ311L = INITVALUE, dJ312L = INITVALUE, dJ313L = INITVALUE, dJ322L = INITVALUE, dJ323L = INITVALUE, dJ333L = INITVALUE;
CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE;
CCTK_REAL HL = INITVALUE;
CCTK_REAL J11L = INITVALUE, J12L = INITVALUE, J13L = INITVALUE, J21L = INITVALUE, J22L = INITVALUE, J23L = INITVALUE;
CCTK_REAL J31L = INITVALUE, J32L = INITVALUE, J33L = INITVALUE;
CCTK_REAL M1L = INITVALUE, M2L = INITVALUE, M3L = INITVALUE;
CCTK_REAL phiL = INITVALUE;
CCTK_REAL trKL = INITVALUE;
CCTK_REAL Xt1L = INITVALUE, Xt2L = INITVALUE, Xt3L = INITVALUE;
/* Declare precomputed derivatives*/
/* Declare derivatives */
CCTK_REAL PDstandardNth1At11 = INITVALUE;
CCTK_REAL PDstandardNth2At11 = INITVALUE;
CCTK_REAL PDstandardNth3At11 = INITVALUE;
CCTK_REAL PDstandardNth1At12 = INITVALUE;
CCTK_REAL PDstandardNth2At12 = INITVALUE;
CCTK_REAL PDstandardNth3At12 = INITVALUE;
CCTK_REAL PDstandardNth1At13 = INITVALUE;
CCTK_REAL PDstandardNth2At13 = INITVALUE;
CCTK_REAL PDstandardNth3At13 = INITVALUE;
CCTK_REAL PDstandardNth1At22 = INITVALUE;
CCTK_REAL PDstandardNth2At22 = INITVALUE;
CCTK_REAL PDstandardNth3At22 = INITVALUE;
CCTK_REAL PDstandardNth1At23 = INITVALUE;
CCTK_REAL PDstandardNth2At23 = INITVALUE;
CCTK_REAL PDstandardNth3At23 = INITVALUE;
CCTK_REAL PDstandardNth1At33 = INITVALUE;
CCTK_REAL PDstandardNth2At33 = INITVALUE;
CCTK_REAL PDstandardNth3At33 = INITVALUE;
CCTK_REAL PDstandardNth1gt11 = INITVALUE;
CCTK_REAL PDstandardNth2gt11 = INITVALUE;
CCTK_REAL PDstandardNth3gt11 = INITVALUE;
CCTK_REAL PDstandardNth11gt11 = INITVALUE;
CCTK_REAL PDstandardNth22gt11 = INITVALUE;
CCTK_REAL PDstandardNth33gt11 = INITVALUE;
CCTK_REAL PDstandardNth12gt11 = INITVALUE;
CCTK_REAL PDstandardNth13gt11 = INITVALUE;
CCTK_REAL PDstandardNth23gt11 = INITVALUE;
CCTK_REAL PDstandardNth1gt12 = INITVALUE;
CCTK_REAL PDstandardNth2gt12 = INITVALUE;
CCTK_REAL PDstandardNth3gt12 = INITVALUE;
CCTK_REAL PDstandardNth11gt12 = INITVALUE;
CCTK_REAL PDstandardNth22gt12 = INITVALUE;
CCTK_REAL PDstandardNth33gt12 = INITVALUE;
CCTK_REAL PDstandardNth12gt12 = INITVALUE;
CCTK_REAL PDstandardNth13gt12 = INITVALUE;
CCTK_REAL PDstandardNth23gt12 = INITVALUE;
CCTK_REAL PDstandardNth1gt13 = INITVALUE;
CCTK_REAL PDstandardNth2gt13 = INITVALUE;
CCTK_REAL PDstandardNth3gt13 = INITVALUE;
CCTK_REAL PDstandardNth11gt13 = INITVALUE;
CCTK_REAL PDstandardNth22gt13 = INITVALUE;
CCTK_REAL PDstandardNth33gt13 = INITVALUE;
CCTK_REAL PDstandardNth12gt13 = INITVALUE;
CCTK_REAL PDstandardNth13gt13 = INITVALUE;
CCTK_REAL PDstandardNth23gt13 = INITVALUE;
CCTK_REAL PDstandardNth1gt22 = INITVALUE;
CCTK_REAL PDstandardNth2gt22 = INITVALUE;
CCTK_REAL PDstandardNth3gt22 = INITVALUE;
CCTK_REAL PDstandardNth11gt22 = INITVALUE;
CCTK_REAL PDstandardNth22gt22 = INITVALUE;
CCTK_REAL PDstandardNth33gt22 = INITVALUE;
CCTK_REAL PDstandardNth12gt22 = INITVALUE;
CCTK_REAL PDstandardNth13gt22 = INITVALUE;
CCTK_REAL PDstandardNth23gt22 = INITVALUE;
CCTK_REAL PDstandardNth1gt23 = INITVALUE;
CCTK_REAL PDstandardNth2gt23 = INITVALUE;
CCTK_REAL PDstandardNth3gt23 = INITVALUE;
CCTK_REAL PDstandardNth11gt23 = INITVALUE;
CCTK_REAL PDstandardNth22gt23 = INITVALUE;
CCTK_REAL PDstandardNth33gt23 = INITVALUE;
CCTK_REAL PDstandardNth12gt23 = INITVALUE;
CCTK_REAL PDstandardNth13gt23 = INITVALUE;
CCTK_REAL PDstandardNth23gt23 = INITVALUE;
CCTK_REAL PDstandardNth1gt33 = INITVALUE;
CCTK_REAL PDstandardNth2gt33 = INITVALUE;
CCTK_REAL PDstandardNth3gt33 = INITVALUE;
CCTK_REAL PDstandardNth11gt33 = INITVALUE;
CCTK_REAL PDstandardNth22gt33 = INITVALUE;
CCTK_REAL PDstandardNth33gt33 = INITVALUE;
CCTK_REAL PDstandardNth12gt33 = INITVALUE;
CCTK_REAL PDstandardNth13gt33 = INITVALUE;
CCTK_REAL PDstandardNth23gt33 = INITVALUE;
CCTK_REAL PDstandardNth1phi = INITVALUE;
CCTK_REAL PDstandardNth2phi = INITVALUE;
CCTK_REAL PDstandardNth3phi = INITVALUE;
CCTK_REAL PDstandardNth11phi = INITVALUE;
CCTK_REAL PDstandardNth22phi = INITVALUE;
CCTK_REAL PDstandardNth33phi = INITVALUE;
CCTK_REAL PDstandardNth12phi = INITVALUE;
CCTK_REAL PDstandardNth13phi = INITVALUE;
CCTK_REAL PDstandardNth23phi = INITVALUE;
CCTK_REAL PDstandardNth1trK = INITVALUE;
CCTK_REAL PDstandardNth2trK = INITVALUE;
CCTK_REAL PDstandardNth3trK = INITVALUE;
CCTK_REAL PDstandardNth1Xt1 = INITVALUE;
CCTK_REAL PDstandardNth2Xt1 = INITVALUE;
CCTK_REAL PDstandardNth3Xt1 = INITVALUE;
CCTK_REAL PDstandardNth1Xt2 = INITVALUE;
CCTK_REAL PDstandardNth2Xt2 = INITVALUE;
CCTK_REAL PDstandardNth3Xt2 = INITVALUE;
CCTK_REAL PDstandardNth1Xt3 = INITVALUE;
CCTK_REAL PDstandardNth2Xt3 = INITVALUE;
CCTK_REAL PDstandardNth3Xt3 = INITVALUE;
/* Assign local copies of grid functions */
At11L = At11[index];
At12L = At12[index];
At13L = At13[index];
At22L = At22[index];
At23L = At23[index];
At33L = At33[index];
dJ111L = dJ111[index];
dJ112L = dJ112[index];
dJ113L = dJ113[index];
dJ122L = dJ122[index];
dJ123L = dJ123[index];
dJ133L = dJ133[index];
dJ211L = dJ211[index];
dJ212L = dJ212[index];
dJ213L = dJ213[index];
dJ222L = dJ222[index];
dJ223L = dJ223[index];
dJ233L = dJ233[index];
dJ311L = dJ311[index];
dJ312L = dJ312[index];
dJ313L = dJ313[index];
dJ322L = dJ322[index];
dJ323L = dJ323[index];
dJ333L = dJ333[index];
gt11L = gt11[index];
gt12L = gt12[index];
gt13L = gt13[index];
gt22L = gt22[index];
gt23L = gt23[index];
gt33L = gt33[index];
J11L = J11[index];
J12L = J12[index];
J13L = J13[index];
J21L = J21[index];
J22L = J22[index];
J23L = J23[index];
J31L = J31[index];
J32L = J32[index];
J33L = J33[index];
phiL = phi[index];
trKL = trK[index];
Xt1L = Xt1[index];
Xt2L = Xt2[index];
Xt3L = Xt3[index];
/* Assign local copies of subblock grid functions */
/* Include user supplied include files */
/* Precompute derivatives (new style) */
PDstandardNth1At11 = PDstandardNth1(At11, i, j, k);
PDstandardNth2At11 = PDstandardNth2(At11, i, j, k);
PDstandardNth3At11 = PDstandardNth3(At11, i, j, k);
PDstandardNth1At12 = PDstandardNth1(At12, i, j, k);
PDstandardNth2At12 = PDstandardNth2(At12, i, j, k);
PDstandardNth3At12 = PDstandardNth3(At12, i, j, k);
PDstandardNth1At13 = PDstandardNth1(At13, i, j, k);
PDstandardNth2At13 = PDstandardNth2(At13, i, j, k);
PDstandardNth3At13 = PDstandardNth3(At13, i, j, k);
PDstandardNth1At22 = PDstandardNth1(At22, i, j, k);
PDstandardNth2At22 = PDstandardNth2(At22, i, j, k);
PDstandardNth3At22 = PDstandardNth3(At22, i, j, k);
PDstandardNth1At23 = PDstandardNth1(At23, i, j, k);
PDstandardNth2At23 = PDstandardNth2(At23, i, j, k);
PDstandardNth3At23 = PDstandardNth3(At23, i, j, k);
PDstandardNth1At33 = PDstandardNth1(At33, i, j, k);
PDstandardNth2At33 = PDstandardNth2(At33, i, j, k);
PDstandardNth3At33 = PDstandardNth3(At33, i, j, k);
PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k);
PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k);
PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k);
PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k);
PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k);
PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k);
PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k);
PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k);
PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k);
PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k);
PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k);
PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k);
PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k);
PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k);
PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k);
PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k);
PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k);
PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k);
PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k);
PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k);
PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k);
PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k);
PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k);
PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k);
PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k);
PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k);
PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k);
PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k);
PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k);
PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k);
PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k);
PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k);
PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k);
PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k);
PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k);
PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k);
PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k);
PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k);
PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k);
PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k);
PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k);
PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k);
PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k);
PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k);
PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k);
PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k);
PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k);
PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k);
PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k);
PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k);
PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k);
PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k);
PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k);
PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k);
PDstandardNth1phi = PDstandardNth1(phi, i, j, k);
PDstandardNth2phi = PDstandardNth2(phi, i, j, k);
PDstandardNth3phi = PDstandardNth3(phi, i, j, k);
PDstandardNth11phi = PDstandardNth11(phi, i, j, k);
PDstandardNth22phi = PDstandardNth22(phi, i, j, k);
PDstandardNth33phi = PDstandardNth33(phi, i, j, k);
PDstandardNth12phi = PDstandardNth12(phi, i, j, k);
PDstandardNth13phi = PDstandardNth13(phi, i, j, k);
PDstandardNth23phi = PDstandardNth23(phi, i, j, k);
PDstandardNth1trK = PDstandardNth1(trK, i, j, k);
PDstandardNth2trK = PDstandardNth2(trK, i, j, k);
PDstandardNth3trK = PDstandardNth3(trK, i, j, k);
PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k);
PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k);
PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k);
PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k);
PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k);
PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k);
PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k);
PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k);
PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k);
/* Precompute derivatives (old style) */
/* Calculate temporaries and grid functions */
detgt = 1;
gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L));
gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt);
gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt);
gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L));
gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt);
gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L));
Gt111 = khalf*((gtu11*J11L - gtu21*J12L - gtu31*J13L)*PDstandardNth1gt11 +
(gtu11*J21L - gtu21*J22L - gtu31*J23L)*PDstandardNth2gt11 +
(gtu11*J31L - gtu21*J32L - gtu31*J33L)*PDstandardNth3gt11 +
2*(J11L*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) +
J21L*(gtu21*PDstandardNth2gt12 + gtu31*PDstandardNth2gt13) +
J31L*(gtu21*PDstandardNth3gt12 + gtu31*PDstandardNth3gt13)));
Gt211 = khalf*((gtu21*J11L - gtu22*J12L - gtu32*J13L)*PDstandardNth1gt11 +
(gtu21*J21L - gtu22*J22L - gtu32*J23L)*PDstandardNth2gt11 +
(gtu21*J31L - gtu22*J32L - gtu32*J33L)*PDstandardNth3gt11 +
2*(J11L*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) +
J21L*(gtu22*PDstandardNth2gt12 + gtu32*PDstandardNth2gt13) +
J31L*(gtu22*PDstandardNth3gt12 + gtu32*PDstandardNth3gt13)));
Gt311 = khalf*((gtu31*J11L - gtu32*J12L - gtu33*J13L)*PDstandardNth1gt11 +
(gtu31*J21L - gtu32*J22L - gtu33*J23L)*PDstandardNth2gt11 +
(gtu31*J31L - gtu32*J32L - gtu33*J33L)*PDstandardNth3gt11 +
2*(J11L*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) +
J21L*(gtu32*PDstandardNth2gt12 + gtu33*PDstandardNth2gt13) +
J31L*(gtu32*PDstandardNth3gt12 + gtu33*PDstandardNth3gt13)));
Gt112 = khalf*(gtu11*(J12L*PDstandardNth1gt11 + J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) +
gtu21*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + J31L*PDstandardNth3gt22) +
gtu31*(-(J13L*PDstandardNth1gt12) + J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - J23L*PDstandardNth2gt12 +
J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 +
J31L*PDstandardNth3gt23));
Gt212 = khalf*(gtu21*(J12L*PDstandardNth1gt11 + J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) +
gtu22*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + J31L*PDstandardNth3gt22) +
gtu32*(-(J13L*PDstandardNth1gt12) + J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - J23L*PDstandardNth2gt12 +
J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 +
J31L*PDstandardNth3gt23));
Gt312 = khalf*(gtu31*(J12L*PDstandardNth1gt11 + J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) +
gtu32*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + J31L*PDstandardNth3gt22) +
gtu33*(-(J13L*PDstandardNth1gt12) + J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - J23L*PDstandardNth2gt12 +
J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 +
J31L*PDstandardNth3gt23));
Gt113 = khalf*(gtu11*(J13L*PDstandardNth1gt11 + J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) +
gtu21*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 -
J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 - J32L*PDstandardNth3gt13 +
J31L*PDstandardNth3gt23) + gtu31*(J11L*PDstandardNth1gt33 + J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33));
Gt213 = khalf*(gtu21*(J13L*PDstandardNth1gt11 + J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) +
gtu22*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 -
J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 - J32L*PDstandardNth3gt13 +
J31L*PDstandardNth3gt23) + gtu32*(J11L*PDstandardNth1gt33 + J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33));
Gt313 = khalf*(gtu31*(J13L*PDstandardNth1gt11 + J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) +
gtu32*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 -
J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 - J32L*PDstandardNth3gt13 +
J31L*PDstandardNth3gt23) + gtu33*(J11L*PDstandardNth1gt33 + J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33));
Gt122 = khalf*(gtu11*(-(J11L*PDstandardNth1gt22) + 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) -
J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - J31L*PDstandardNth3gt22) +
gtu21*(J12L*PDstandardNth1gt22 + J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22) -
gtu31*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22 -
2*(J12L*PDstandardNth1gt23 + J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23)));
Gt222 = khalf*(gtu21*(-(J11L*PDstandardNth1gt22) + 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) -
J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - J31L*PDstandardNth3gt22) +
gtu22*(J12L*PDstandardNth1gt22 + J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22) -
gtu32*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22 -
2*(J12L*PDstandardNth1gt23 + J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23)));
Gt322 = khalf*(gtu31*(-(J11L*PDstandardNth1gt22) + 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) -
J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - J31L*PDstandardNth3gt22) +
gtu32*(J12L*PDstandardNth1gt22 + J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22) -
gtu33*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22 -
2*(J12L*PDstandardNth1gt23 + J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23)));
Gt123 = khalf*(gtu21*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) +
gtu11*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 +
J22L*PDstandardNth2gt13 - J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 -
J31L*PDstandardNth3gt23) + gtu31*(J12L*PDstandardNth1gt33 + J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33));
Gt223 = khalf*(gtu22*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) +
gtu21*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 +
J22L*PDstandardNth2gt13 - J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 -
J31L*PDstandardNth3gt23) + gtu32*(J12L*PDstandardNth1gt33 + J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33));
Gt323 = khalf*(gtu32*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) +
gtu31*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 +
J22L*PDstandardNth2gt13 - J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 -
J31L*PDstandardNth3gt23) + gtu33*(J12L*PDstandardNth1gt33 + J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33));
Gt133 = khalf*(gtu11*(-(J11L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) -
J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - J31L*PDstandardNth3gt33) +
gtu21*(-(J12L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt23 + J23L*PDstandardNth2gt23) -
J22L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt23 - J32L*PDstandardNth3gt33) +
gtu31*(J13L*PDstandardNth1gt33 + J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33));
Gt233 = khalf*(gtu21*(-(J11L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) -
J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - J31L*PDstandardNth3gt33) +
gtu22*(-(J12L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt23 + J23L*PDstandardNth2gt23) -
J22L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt23 - J32L*PDstandardNth3gt33) +
gtu32*(J13L*PDstandardNth1gt33 + J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33));
Gt333 = khalf*(gtu31*(-(J11L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) -
J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - J31L*PDstandardNth3gt33) +
gtu32*(-(J12L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt23 + J23L*PDstandardNth2gt23) -
J22L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt23 - J32L*PDstandardNth3gt33) +
gtu33*(J13L*PDstandardNth1gt33 + J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33));
Rt11 = (Gt113*(gt13L*Gt312 + 3*(gt12L*Gt212 + gt13L*Gt312)) +
gt12L*(Gt213*(4*Gt112 + 2*Gt222) + Gt212*(Gt113 + 2*Gt223) + 2*(Gt233*Gt312 + Gt223*Gt313)) +
gt11L*(6*Gt112*Gt113 + 2*(Gt122*Gt213 + Gt133*Gt312 + Gt123*(Gt212 + Gt313))) +
gt13L*(2*Gt213*Gt322 + Gt313*(4*Gt112 + 2*Gt323)) +
2*(Gt213*(Gt212*gt22L + gt23L*Gt312) + Gt212*(gt23L*Gt313 + gt13L*Gt323) + Gt312*(gt13L*Gt333 + Gt313*gt33L)))*
gtu32 + J11L*(gt11L*PDstandardNth1Xt1 + gt12L*PDstandardNth1Xt2 + gt13L*PDstandardNth1Xt3) +
J21L*(gt11L*PDstandardNth2Xt1 + gt12L*PDstandardNth2Xt2 + gt13L*PDstandardNth2Xt3) +
J31L*(gt11L*PDstandardNth3Xt1 + gt12L*PDstandardNth3Xt2 + gt13L*PDstandardNth3Xt3) +
(Gt111*gt11L + gt12L*Gt211 + gt13L*Gt311)*Xt1L + (Gt112*gt11L + gt12L*Gt212 + gt13L*Gt312)*Xt2L +
(Gt113*gt11L + gt12L*Gt213 + gt13L*Gt313)*Xt3L +
gtu21*(Gt112*(gt13L*Gt311 + 3*(gt12L*Gt211 + gt13L*Gt311)) +
gt11L*(Gt112*(6*Gt111 + 2*Gt212) + 2*(Gt122*Gt211 + Gt123*Gt311 + Gt113*Gt312)) +
2*(Gt212*(Gt211*gt22L + gt23L*Gt311 + gt13L*Gt312) + gt13L*(Gt211*Gt322 + Gt311*Gt323)) +
Gt312*(gt13L*(4*Gt111 + 2*Gt313) + 2*(Gt211*gt23L + Gt311*gt33L)) +
gt12L*(4*Gt111*Gt212 + Gt211*(Gt112 + 2*Gt222) + 2*(Gt223*Gt311 + Gt213*Gt312 + SQR(Gt212)))) +
gtu11*(4*Gt111*(gt12L*Gt211 + gt13L*Gt311) +
2*(gt12L*(Gt211*Gt212 + Gt213*Gt311) + Gt211*(gt23L*Gt311 + gt13L*Gt312) + gt13L*Gt311*Gt313) +
gt11L*(2*(Gt112*Gt211 + Gt113*Gt311) + 3*SQR(Gt111)) + gt22L*SQR(Gt211) + gt33L*SQR(Gt311)) +
gtu22*(4*Gt112*(gt12L*Gt212 + gt13L*Gt312) +
2*(gt12L*(Gt212*Gt222 + Gt223*Gt312) + Gt212*(gt23L*Gt312 + gt13L*Gt322) + gt13L*Gt312*Gt323) +
gt11L*(2*(Gt122*Gt212 + Gt123*Gt312) + 3*SQR(Gt112)) + gt22L*SQR(Gt212) + gt33L*SQR(Gt312)) +
gtu33*(4*Gt113*(gt12L*Gt213 + gt13L*Gt313) +
2*(gt12L*(Gt213*Gt223 + Gt233*Gt313) + Gt213*(gt23L*Gt313 + gt13L*Gt323) + gt13L*Gt313*Gt333) +
gt11L*(2*(Gt123*Gt213 + Gt133*Gt313) + 3*SQR(Gt113)) + gt22L*SQR(Gt213) + gt33L*SQR(Gt313)) +
gtu31*(Gt113*(gt13L*Gt311 + 3*(gt12L*Gt211 + gt13L*Gt311)) +
gt11L*(2*(Gt123*Gt211 + Gt112*Gt213 + Gt133*Gt311) + Gt113*(6*Gt111 + 2*Gt313)) +
gt12L*(Gt211*(Gt113 + 2*Gt223) + 2*Gt233*Gt311 + Gt213*(4*Gt111 + 2*(Gt212 + Gt313))) +
2*(Gt213*(Gt211*gt22L + gt23L*Gt311 + gt13L*Gt312) + gt13L*Gt311*Gt333 + Gt313*(Gt211*gt23L + Gt311*gt33L)) +
gt13L*(4*Gt111*Gt313 + 2*(Gt211*Gt323 + SQR(Gt313)))) +
khalf*(-2*(gtu21*(J11L*J12L*PDstandardNth11gt11 + J12L*J21L*PDstandardNth12gt11 + J11L*J22L*PDstandardNth12gt11 +
J12L*J31L*PDstandardNth13gt11 + J11L*J32L*PDstandardNth13gt11 + dJ112L*PDstandardNth1gt11 +
J21L*J22L*PDstandardNth22gt11 + J22L*J31L*PDstandardNth23gt11 + J21L*J32L*PDstandardNth23gt11 +
dJ212L*PDstandardNth2gt11 + J31L*J32L*PDstandardNth33gt11 + dJ312L*PDstandardNth3gt11) +
gtu31*(J11L*J13L*PDstandardNth11gt11 + J13L*J21L*PDstandardNth12gt11 + J11L*J23L*PDstandardNth12gt11 +
J13L*J31L*PDstandardNth13gt11 + J11L*J33L*PDstandardNth13gt11 + dJ113L*PDstandardNth1gt11 +
J21L*J23L*PDstandardNth22gt11 + J23L*J31L*PDstandardNth23gt11 + J21L*J33L*PDstandardNth23gt11 +
dJ213L*PDstandardNth2gt11 + J31L*J33L*PDstandardNth33gt11 + dJ313L*PDstandardNth3gt11) +
gtu32*(J12L*J13L*PDstandardNth11gt11 + J13L*J22L*PDstandardNth12gt11 + J12L*J23L*PDstandardNth12gt11 +
J13L*J32L*PDstandardNth13gt11 + J12L*J33L*PDstandardNth13gt11 + dJ123L*PDstandardNth1gt11 +
J22L*J23L*PDstandardNth22gt11 + J23L*J32L*PDstandardNth23gt11 + J22L*J33L*PDstandardNth23gt11 +
dJ223L*PDstandardNth2gt11 + J32L*J33L*PDstandardNth33gt11 + dJ323L*PDstandardNth3gt11)) -
gtu11*(2*J11L*J21L*PDstandardNth12gt11 + 2*J11L*J31L*PDstandardNth13gt11 + dJ111L*PDstandardNth1gt11 +
2*J21L*J31L*PDstandardNth23gt11 + dJ211L*PDstandardNth2gt11 + dJ311L*PDstandardNth3gt11 +
PDstandardNth11gt11*SQR(J11L) + PDstandardNth22gt11*SQR(J21L) + PDstandardNth33gt11*SQR(J31L)) -
gtu22*(2*J12L*J22L*PDstandardNth12gt11 + 2*J12L*J32L*PDstandardNth13gt11 + dJ122L*PDstandardNth1gt11 +
2*J22L*J32L*PDstandardNth23gt11 + dJ222L*PDstandardNth2gt11 + dJ322L*PDstandardNth3gt11 +
PDstandardNth11gt11*SQR(J12L) + PDstandardNth22gt11*SQR(J22L) + PDstandardNth33gt11*SQR(J32L)) -
gtu33*(2*J13L*J23L*PDstandardNth12gt11 + 2*J13L*J33L*PDstandardNth13gt11 + dJ133L*PDstandardNth1gt11 +
2*J23L*J33L*PDstandardNth23gt11 + dJ233L*PDstandardNth2gt11 + dJ333L*PDstandardNth3gt11 +
PDstandardNth11gt11*SQR(J13L) + PDstandardNth22gt11*SQR(J23L) + PDstandardNth33gt11*SQR(J33L)));
Rt12 = khalf*((gt12L*J11L + gt11L*J12L)*PDstandardNth1Xt1 + (gt22L*J11L + gt12L*J12L)*PDstandardNth1Xt2 +
(gt23L*J11L + gt13L*J12L)*PDstandardNth1Xt3 + (gt12L*J21L + gt11L*J22L)*PDstandardNth2Xt1 +
(gt22L*J21L + gt12L*J22L)*PDstandardNth2Xt2 + (gt23L*J21L + gt13L*J22L)*PDstandardNth2Xt3 -
2*(gtu21*(J11L*J12L*PDstandardNth11gt12 + J12L*J21L*PDstandardNth12gt12 + J11L*J22L*PDstandardNth12gt12 +
J12L*J31L*PDstandardNth13gt12 + J11L*J32L*PDstandardNth13gt12 + dJ112L*PDstandardNth1gt12 +
J21L*J22L*PDstandardNth22gt12 + J22L*J31L*PDstandardNth23gt12 + J21L*J32L*PDstandardNth23gt12 +
dJ212L*PDstandardNth2gt12 + J31L*J32L*PDstandardNth33gt12 + dJ312L*PDstandardNth3gt12) +
gtu31*(J11L*J13L*PDstandardNth11gt12 + J13L*J21L*PDstandardNth12gt12 + J11L*J23L*PDstandardNth12gt12 +
J13L*J31L*PDstandardNth13gt12 + J11L*J33L*PDstandardNth13gt12 + dJ113L*PDstandardNth1gt12 +
J21L*J23L*PDstandardNth22gt12 + J23L*J31L*PDstandardNth23gt12 + J21L*J33L*PDstandardNth23gt12 +
dJ213L*PDstandardNth2gt12 + J31L*J33L*PDstandardNth33gt12 + dJ313L*PDstandardNth3gt12) +
gtu32*(J12L*J13L*PDstandardNth11gt12 + J13L*J22L*PDstandardNth12gt12 + J12L*J23L*PDstandardNth12gt12 +
J13L*J32L*PDstandardNth13gt12 + J12L*J33L*PDstandardNth13gt12 + dJ123L*PDstandardNth1gt12 +
J22L*J23L*PDstandardNth22gt12 + J23L*J32L*PDstandardNth23gt12 + J22L*J33L*PDstandardNth23gt12 +
dJ223L*PDstandardNth2gt12 + J32L*J33L*PDstandardNth33gt12 + dJ323L*PDstandardNth3gt12)) +
(gt12L*J31L + gt11L*J32L)*PDstandardNth3Xt1 + (gt22L*J31L + gt12L*J32L)*PDstandardNth3Xt2 +
(gt23L*J31L + gt13L*J32L)*PDstandardNth3Xt3 +
(Gt112*gt11L + Gt111*gt12L + gt12L*Gt212 + Gt211*gt22L + gt23L*Gt311 + gt13L*Gt312)*Xt1L +
(gt11L*Gt122 + Gt112*gt12L + gt12L*Gt222 + Gt212*gt22L + gt23L*Gt312 + gt13L*Gt322)*Xt2L +
(gt11L*Gt123 + Gt113*gt12L + gt12L*Gt223 + Gt213*gt22L + gt23L*Gt313 + gt13L*Gt323)*Xt3L +
2*((Gt123*gt12L*Gt211 + Gt113*gt12L*Gt212 + 2*Gt112*gt12L*Gt213 + gt12L*Gt212*Gt223 + Gt212*Gt213*gt22L +
Gt211*Gt223*gt22L + gt12L*Gt133*Gt311 + gt22L*Gt233*Gt311 + Gt113*gt13L*Gt312 + gt12L*Gt233*Gt312 +
Gt213*gt23L*Gt312 + gt11L*(2*Gt112*Gt113 + Gt123*Gt212 + Gt133*Gt312) + 2*Gt112*gt13L*Gt313 +
Gt212*gt23L*Gt313 + Gt111*(Gt113*gt12L + Gt213*gt22L + gt23L*Gt313) + gt13L*Gt212*Gt323 +
Gt211*gt23L*Gt323 + gt23L*Gt311*Gt333 + gt13L*Gt312*Gt333 + Gt312*Gt313*gt33L)*gtu31 +
(Gt123*gt12L*Gt212 + 2*Gt122*gt12L*Gt213 + Gt113*gt12L*Gt222 + gt12L*Gt222*Gt223 + Gt213*Gt222*gt22L +
Gt212*Gt223*gt22L + gt12L*Gt133*Gt312 + gt22L*Gt233*Gt312 + 2*Gt122*gt13L*Gt313 + Gt222*gt23L*Gt313 +
Gt112*(Gt113*gt12L + Gt213*gt22L + gt23L*Gt313) + Gt113*gt13L*Gt322 + gt12L*Gt233*Gt322 +
Gt213*gt23L*Gt322 + gt11L*(2*Gt113*Gt122 + Gt123*Gt222 + Gt133*Gt322) + gt13L*Gt222*Gt323 +
Gt212*gt23L*Gt323 + gt23L*Gt312*Gt333 + gt13L*Gt322*Gt333 + Gt313*Gt322*gt33L)*gtu32 +
gtu11*(3*Gt112*gt12L*Gt211 + 2*Gt211*Gt212*gt22L + Gt113*gt12L*Gt311 + 2*Gt112*gt13L*Gt311 +
Gt213*gt22L*Gt311 + Gt212*gt23L*Gt311 + gt13L*Gt212*Gt312 + gt12L*Gt213*Gt312 + 2*Gt211*gt23L*Gt312 +
gt11L*(2*Gt111*Gt112 + Gt112*Gt212 + Gt113*Gt312) +
Gt111*(gt12L*Gt212 + Gt211*gt22L + gt23L*Gt311 + gt13L*Gt312) + gt23L*Gt311*Gt313 + gt13L*Gt312*Gt313 +
Gt311*Gt312*gt33L + gt12L*SQR(Gt111) + gt12L*SQR(Gt212)) +
gtu21*(Gt112*gt11L*Gt222 + Gt112*Gt211*gt22L + Gt211*Gt222*gt22L + 2*Gt122*gt13L*Gt311 + Gt112*gt23L*Gt311 +
Gt222*gt23L*Gt311 + gt13L*Gt222*Gt312 + Gt213*gt22L*Gt312 + Gt212*gt23L*Gt312 + gt23L*Gt312*Gt313 +
Gt113*gt11L*Gt322 + Gt211*gt23L*Gt322 + gt13L*Gt313*Gt322 +
Gt111*(2*gt11L*Gt122 + Gt112*gt12L + gt12L*Gt222 + gt13L*Gt322) +
gt12L*(2*Gt122*Gt211 + Gt112*Gt212 + Gt212*Gt222 + Gt113*Gt312 + Gt213*Gt322) + Gt311*Gt322*gt33L +
gt22L*SQR(Gt212)) + gtu22*(gt11L*Gt122*Gt222 + 2*Gt212*Gt222*gt22L + 2*Gt122*gt13L*Gt312 +
Gt223*gt22L*Gt312 + Gt222*gt23L*Gt312 + gt11L*Gt123*Gt322 + gt13L*Gt222*Gt322 + 2*Gt212*gt23L*Gt322 +
Gt112*(2*gt11L*Gt122 + gt12L*Gt222 + Gt212*gt22L + gt23L*Gt312 + gt13L*Gt322) + gt23L*Gt312*Gt323 +
gt13L*Gt322*Gt323 + Gt312*Gt322*gt33L + gt12L*SQR(Gt112) +
gt12L*(3*Gt122*Gt212 + Gt123*Gt312 + Gt223*Gt322 + SQR(Gt222))) +
gtu33*(gt11L*Gt123*Gt223 + 2*Gt213*Gt223*gt22L + 2*Gt123*gt13L*Gt313 + gt22L*Gt233*Gt313 + Gt223*gt23L*Gt313 +
gt11L*Gt133*Gt323 + gt13L*Gt223*Gt323 + 2*Gt213*gt23L*Gt323 +
Gt113*(2*gt11L*Gt123 + gt12L*Gt223 + Gt213*gt22L + gt23L*Gt313 + gt13L*Gt323) + gt23L*Gt313*Gt333 +
gt13L*Gt323*Gt333 + Gt313*Gt323*gt33L + gt12L*SQR(Gt113) +
gt12L*(3*Gt123*Gt213 + Gt133*Gt313 + Gt233*Gt323 + SQR(Gt223))) +
gtu21*(Gt122*gt12L*Gt211 + 3*Gt112*gt12L*Gt212 + gt12L*Gt212*Gt222 + Gt211*Gt222*gt22L + Gt123*gt12L*Gt311 +
Gt223*gt22L*Gt311 + 3*Gt112*gt13L*Gt312 + gt12L*Gt223*Gt312 + 2*Gt212*gt23L*Gt312 +
Gt111*(Gt112*gt12L + Gt212*gt22L + gt23L*Gt312) + gt13L*Gt212*Gt322 + Gt211*gt23L*Gt322 +
gt23L*Gt311*Gt323 + gt13L*Gt312*Gt323 + gt11L*(Gt122*Gt212 + Gt123*Gt312 + 2*SQR(Gt112)) +
gt22L*SQR(Gt212) + gt33L*SQR(Gt312)) +
gtu31*(Gt112*gt11L*Gt223 + Gt113*Gt211*gt22L + Gt212*Gt213*gt22L + Gt211*Gt223*gt22L + 2*Gt123*gt13L*Gt311 +
Gt113*gt23L*Gt311 + Gt223*gt23L*Gt311 + gt13L*Gt223*Gt312 + Gt213*gt23L*Gt312 + Gt213*gt22L*Gt313 +
Gt113*gt11L*Gt323 + Gt211*gt23L*Gt323 + gt13L*Gt313*Gt323 +
Gt111*(2*gt11L*Gt123 + Gt113*gt12L + gt12L*Gt223 + gt13L*Gt323) +
gt12L*(2*Gt123*Gt211 + Gt112*Gt213 + Gt212*Gt223 + Gt113*Gt313 + Gt213*Gt323) + Gt311*Gt323*gt33L +
gt23L*SQR(Gt313)) + gtu32*(gt11L*Gt122*Gt223 + Gt113*Gt212*gt22L + Gt213*Gt222*gt22L + Gt212*Gt223*gt22L +
2*Gt123*gt13L*Gt312 + Gt113*gt23L*Gt312 + Gt223*gt23L*Gt312 + Gt223*gt22L*Gt313 + gt13L*Gt223*Gt322 +
Gt213*gt23L*Gt322 + gt11L*Gt123*Gt323 + Gt212*gt23L*Gt323 + gt23L*Gt313*Gt323 +
Gt112*(2*gt11L*Gt123 + Gt113*gt12L + gt12L*Gt223 + gt13L*Gt323) +
gt12L*(Gt122*Gt213 + Gt123*(2*Gt212 + Gt313) + Gt223*(Gt222 + Gt323)) + Gt312*Gt323*gt33L + gt13L*SQR(Gt323)
)) - gtu11*(2*J11L*J21L*PDstandardNth12gt12 + 2*J11L*J31L*PDstandardNth13gt12 + dJ111L*PDstandardNth1gt12 +
2*J21L*J31L*PDstandardNth23gt12 + dJ211L*PDstandardNth2gt12 + dJ311L*PDstandardNth3gt12 +
PDstandardNth11gt12*SQR(J11L) + PDstandardNth22gt12*SQR(J21L) + PDstandardNth33gt12*SQR(J31L)) -
gtu22*(2*J12L*J22L*PDstandardNth12gt12 + 2*J12L*J32L*PDstandardNth13gt12 + dJ122L*PDstandardNth1gt12 +
2*J22L*J32L*PDstandardNth23gt12 + dJ222L*PDstandardNth2gt12 + dJ322L*PDstandardNth3gt12 +
PDstandardNth11gt12*SQR(J12L) + PDstandardNth22gt12*SQR(J22L) + PDstandardNth33gt12*SQR(J32L)) -
gtu33*(2*J13L*J23L*PDstandardNth12gt12 + 2*J13L*J33L*PDstandardNth13gt12 + dJ133L*PDstandardNth1gt12 +
2*J23L*J33L*PDstandardNth23gt12 + dJ233L*PDstandardNth2gt12 + dJ333L*PDstandardNth3gt12 +
PDstandardNth11gt12*SQR(J13L) + PDstandardNth22gt12*SQR(J23L) + PDstandardNth33gt12*SQR(J33L)));
Rt13 = khalf*((gt13L*J11L + gt11L*J13L)*PDstandardNth1Xt1 + (gt23L*J11L + gt12L*J13L)*PDstandardNth1Xt2 +
(gt33L*J11L + gt13L*J13L)*PDstandardNth1Xt3 + (gt13L*J21L + gt11L*J23L)*PDstandardNth2Xt1 +
(gt23L*J21L + gt12L*J23L)*PDstandardNth2Xt2 + (gt33L*J21L + gt13L*J23L)*PDstandardNth2Xt3 -
2*(gtu21*(J11L*J12L*PDstandardNth11gt13 + J12L*J21L*PDstandardNth12gt13 + J11L*J22L*PDstandardNth12gt13 +
J12L*J31L*PDstandardNth13gt13 + J11L*J32L*PDstandardNth13gt13 + dJ112L*PDstandardNth1gt13 +
J21L*J22L*PDstandardNth22gt13 + J22L*J31L*PDstandardNth23gt13 + J21L*J32L*PDstandardNth23gt13 +
dJ212L*PDstandardNth2gt13 + J31L*J32L*PDstandardNth33gt13 + dJ312L*PDstandardNth3gt13) +
gtu31*(J11L*J13L*PDstandardNth11gt13 + J13L*J21L*PDstandardNth12gt13 + J11L*J23L*PDstandardNth12gt13 +
J13L*J31L*PDstandardNth13gt13 + J11L*J33L*PDstandardNth13gt13 + dJ113L*PDstandardNth1gt13 +
J21L*J23L*PDstandardNth22gt13 + J23L*J31L*PDstandardNth23gt13 + J21L*J33L*PDstandardNth23gt13 +
dJ213L*PDstandardNth2gt13 + J31L*J33L*PDstandardNth33gt13 + dJ313L*PDstandardNth3gt13) +
gtu32*(J12L*J13L*PDstandardNth11gt13 + J13L*J22L*PDstandardNth12gt13 + J12L*J23L*PDstandardNth12gt13 +
J13L*J32L*PDstandardNth13gt13 + J12L*J33L*PDstandardNth13gt13 + dJ123L*PDstandardNth1gt13 +
J22L*J23L*PDstandardNth22gt13 + J23L*J32L*PDstandardNth23gt13 + J22L*J33L*PDstandardNth23gt13 +
dJ223L*PDstandardNth2gt13 + J32L*J33L*PDstandardNth33gt13 + dJ323L*PDstandardNth3gt13)) +
(gt13L*J31L + gt11L*J33L)*PDstandardNth3Xt1 + (gt23L*J31L + gt12L*J33L)*PDstandardNth3Xt2 +
(gt33L*J31L + gt13L*J33L)*PDstandardNth3Xt3 +
(Gt113*gt11L + Gt111*gt13L + gt12L*Gt213 + Gt211*gt23L + gt13L*Gt313 + Gt311*gt33L)*Xt1L +
(gt11L*Gt123 + Gt112*gt13L + gt12L*Gt223 + Gt212*gt23L + gt13L*Gt323 + Gt312*gt33L)*Xt2L +
(gt11L*Gt133 + Gt113*gt13L + gt12L*Gt233 + Gt213*gt23L + gt13L*Gt333 + Gt313*gt33L)*Xt3L +
2*((Gt122*gt13L*Gt211 + 2*Gt113*gt12L*Gt212 + Gt112*gt12L*Gt213 + gt12L*Gt213*Gt222 + Gt212*Gt213*gt22L +
Gt211*Gt222*gt23L + Gt123*gt13L*Gt311 + Gt223*gt23L*Gt311 + 2*Gt113*gt13L*Gt312 + Gt213*gt23L*Gt312 +
Gt112*gt13L*Gt313 + gt12L*Gt223*Gt313 + Gt212*gt23L*Gt313 +
gt11L*(2*Gt112*Gt113 + Gt122*Gt213 + Gt123*Gt313) + gt13L*Gt213*Gt322 + gt13L*Gt313*Gt323 +
Gt312*Gt313*gt33L + Gt211*Gt322*gt33L + Gt311*Gt323*gt33L + Gt111*(Gt112*gt13L + Gt212*gt23L + Gt312*gt33L))
*gtu21 + (Gt122*gt13L*Gt213 + gt11L*Gt122*Gt233 + Gt212*gt22L*Gt233 + Gt113*Gt212*gt23L +
Gt213*Gt222*gt23L + 2*Gt133*gt13L*Gt312 + Gt233*gt23L*Gt312 + Gt123*gt13L*Gt313 + Gt223*gt23L*Gt313 +
gt13L*Gt233*Gt322 + gt11L*Gt123*Gt333 + Gt212*gt23L*Gt333 + gt13L*Gt323*Gt333 +
Gt112*(2*gt11L*Gt133 + Gt113*gt13L + gt12L*Gt233 + gt13L*Gt333) +
gt12L*(2*Gt133*Gt212 + Gt222*Gt233 + Gt223*Gt333) + Gt113*Gt312*gt33L + Gt213*Gt322*gt33L +
Gt313*Gt323*gt33L + Gt312*Gt333*gt33L)*gtu32 +
gtu21*(2*Gt123*gt12L*Gt211 + Gt112*gt13L*Gt212 + gt12L*Gt212*Gt223 + Gt211*Gt223*gt22L + Gt112*Gt211*gt23L +
2*Gt123*gt13L*Gt311 + Gt223*gt23L*Gt311 + Gt113*gt13L*Gt312 + gt13L*Gt223*Gt312 + Gt213*gt23L*Gt312 +
gt12L*Gt213*Gt323 + Gt211*gt23L*Gt323 + gt13L*Gt313*Gt323 +
gt11L*(2*Gt111*Gt123 + Gt112*Gt223 + Gt113*Gt323) + Gt111*(Gt112*gt13L + gt12L*Gt223 + gt13L*Gt323) +
Gt112*Gt311*gt33L + Gt212*Gt312*gt33L + Gt312*Gt313*gt33L + Gt311*Gt323*gt33L + gt23L*SQR(Gt212)) +
gtu32*(Gt123*gt13L*Gt212 + 2*Gt123*gt12L*Gt213 + Gt113*gt12L*Gt223 + Gt213*Gt223*gt22L + Gt212*Gt223*gt23L +
Gt133*gt13L*Gt312 + Gt233*gt23L*Gt312 + 2*Gt123*gt13L*Gt313 + Gt223*gt23L*Gt313 + Gt113*gt13L*Gt323 +
gt13L*Gt223*Gt323 + gt12L*Gt233*Gt323 + Gt213*gt23L*Gt323 +
gt11L*(2*Gt113*Gt123 + Gt123*Gt223 + Gt133*Gt323) + gt13L*Gt323*Gt333 + Gt212*Gt323*gt33L +
Gt313*Gt323*gt33L + Gt312*Gt333*gt33L + Gt112*(Gt113*gt13L + Gt213*gt23L + Gt313*gt33L) + gt12L*SQR(Gt223))\
+ gtu11*(2*Gt113*gt12L*Gt211 + Gt112*gt13L*Gt211 + gt12L*Gt212*Gt213 + Gt211*Gt213*gt22L +
Gt211*Gt212*gt23L + 3*Gt113*gt13L*Gt311 + 2*Gt213*gt23L*Gt311 + gt13L*Gt213*Gt312 + gt12L*Gt213*Gt313 +
Gt211*gt23L*Gt313 + gt11L*(2*Gt111*Gt113 + Gt112*Gt213 + Gt113*Gt313) + Gt211*Gt312*gt33L +
2*Gt311*Gt313*gt33L + Gt111*(gt12L*Gt213 + Gt211*gt23L + gt13L*Gt313 + Gt311*gt33L) + gt13L*SQR(Gt111) +
gt13L*SQR(Gt313)) + gtu31*(Gt112*gt13L*Gt213 + Gt112*gt11L*Gt233 + Gt211*gt22L*Gt233 + Gt113*Gt211*gt23L +
Gt212*Gt213*gt23L + 2*Gt133*gt13L*Gt311 + Gt233*gt23L*Gt311 + gt13L*Gt233*Gt312 + Gt113*gt13L*Gt313 +
Gt213*gt23L*Gt313 + Gt113*gt11L*Gt333 + Gt211*gt23L*Gt333 + gt13L*Gt313*Gt333 +
Gt111*(2*gt11L*Gt133 + Gt113*gt13L + gt12L*Gt233 + gt13L*Gt333) +
gt12L*(2*Gt133*Gt211 + Gt212*Gt233 + Gt213*Gt333) + Gt113*Gt311*gt33L + Gt213*Gt312*gt33L +
Gt311*Gt333*gt33L + gt33L*SQR(Gt313)) +
gtu31*(Gt123*gt13L*Gt211 + 3*Gt113*gt12L*Gt213 + gt12L*Gt213*Gt223 + Gt211*Gt223*gt23L + Gt133*gt13L*Gt311 +
Gt233*gt23L*Gt311 + 3*Gt113*gt13L*Gt313 + gt12L*Gt233*Gt313 + 2*Gt213*gt23L*Gt313 + gt13L*Gt213*Gt323 +
gt13L*Gt313*Gt333 + Gt211*Gt323*gt33L + Gt311*Gt333*gt33L +
Gt111*(Gt113*gt13L + Gt213*gt23L + Gt313*gt33L) + gt11L*(Gt123*Gt213 + Gt133*Gt313 + 2*SQR(Gt113)) +
gt22L*SQR(Gt213) + gt33L*SQR(Gt313)) +
gtu22*(2*Gt123*gt12L*Gt212 + Gt122*gt13L*Gt212 + gt12L*Gt222*Gt223 + Gt212*Gt223*gt22L + Gt212*Gt222*gt23L +
3*Gt123*gt13L*Gt312 + 2*Gt223*gt23L*Gt312 + gt13L*Gt223*Gt322 + gt12L*Gt223*Gt323 + Gt212*gt23L*Gt323 +
gt11L*(2*Gt112*Gt123 + Gt122*Gt223 + Gt123*Gt323) + Gt212*Gt322*gt33L + 2*Gt312*Gt323*gt33L +
Gt112*(gt12L*Gt223 + Gt212*gt23L + gt13L*Gt323 + Gt312*gt33L) + gt13L*SQR(Gt112) + gt13L*SQR(Gt323)) +
gtu33*(2*gt12L*Gt133*Gt213 + Gt123*gt13L*Gt213 + gt11L*Gt123*Gt233 + gt12L*Gt223*Gt233 + Gt213*gt22L*Gt233 +
Gt213*Gt223*gt23L + 3*Gt133*gt13L*Gt313 + 2*Gt233*gt23L*Gt313 + gt13L*Gt233*Gt323 + gt11L*Gt133*Gt333 +
gt12L*Gt233*Gt333 + Gt213*gt23L*Gt333 + Gt213*Gt323*gt33L + 2*Gt313*Gt333*gt33L +
Gt113*(2*gt11L*Gt133 + gt12L*Gt233 + Gt213*gt23L + gt13L*Gt333 + Gt313*gt33L) + gt13L*SQR(Gt113) +
gt13L*SQR(Gt333))) - gtu11*(2*J11L*J21L*PDstandardNth12gt13 + 2*J11L*J31L*PDstandardNth13gt13 +
dJ111L*PDstandardNth1gt13 + 2*J21L*J31L*PDstandardNth23gt13 + dJ211L*PDstandardNth2gt13 +
dJ311L*PDstandardNth3gt13 + PDstandardNth11gt13*SQR(J11L) + PDstandardNth22gt13*SQR(J21L) +
PDstandardNth33gt13*SQR(J31L)) - gtu22*(2*J12L*J22L*PDstandardNth12gt13 + 2*J12L*J32L*PDstandardNth13gt13 +
dJ122L*PDstandardNth1gt13 + 2*J22L*J32L*PDstandardNth23gt13 + dJ222L*PDstandardNth2gt13 +
dJ322L*PDstandardNth3gt13 + PDstandardNth11gt13*SQR(J12L) + PDstandardNth22gt13*SQR(J22L) +
PDstandardNth33gt13*SQR(J32L)) - gtu33*(2*J13L*J23L*PDstandardNth12gt13 + 2*J13L*J33L*PDstandardNth13gt13 +
dJ133L*PDstandardNth1gt13 + 2*J23L*J33L*PDstandardNth23gt13 + dJ233L*PDstandardNth2gt13 +
dJ333L*PDstandardNth3gt13 + PDstandardNth11gt13*SQR(J13L) + PDstandardNth22gt13*SQR(J23L) +
PDstandardNth33gt13*SQR(J33L)));
Rt22 = (Gt223*(3*Gt112*gt12L + 6*Gt212*gt22L + 4*gt23L*Gt312) +
Gt123*(Gt112*gt11L + gt12L*(2*Gt111 + 4*Gt212) + 2*(Gt211*gt22L + gt23L*Gt311 + gt13L*Gt312)) +
Gt112*(gt11L*Gt123 + gt12L*(2*Gt113 + Gt223) + 2*(Gt213*gt22L + gt23L*Gt313) + gt13L*Gt323) +
2*(Gt113*gt12L*Gt323 + Gt312*(gt12L*Gt133 + gt22L*Gt233 + gt23L*Gt333)) +
Gt323*(Gt112*gt13L + 4*Gt212*gt23L + 2*(Gt213*gt22L + gt23L*Gt313 + Gt312*gt33L)))*gtu31 +
J12L*(gt12L*PDstandardNth1Xt1 + gt22L*PDstandardNth1Xt2 + gt23L*PDstandardNth1Xt3) +
J22L*(gt12L*PDstandardNth2Xt1 + gt22L*PDstandardNth2Xt2 + gt23L*PDstandardNth2Xt3) +
J32L*(gt12L*PDstandardNth3Xt1 + gt22L*PDstandardNth3Xt2 + gt23L*PDstandardNth3Xt3) +
(Gt112*gt12L + Gt212*gt22L + gt23L*Gt312)*Xt1L + (Gt122*gt12L + Gt222*gt22L + gt23L*Gt322)*Xt2L +
(Gt123*gt12L + Gt223*gt22L + gt23L*Gt323)*Xt3L +
gtu21*(Gt222*(3*Gt112*gt12L + 6*Gt212*gt22L + 4*gt23L*Gt312) +
Gt122*(Gt112*gt11L + gt12L*(2*Gt111 + 4*Gt212) + 2*(Gt211*gt22L + gt23L*Gt311 + gt13L*Gt312)) +
Gt112*(gt11L*Gt122 + gt12L*Gt222 + 2*(Gt212*gt22L + gt23L*Gt312) + gt13L*Gt322) +
Gt322*(Gt112*gt13L + 4*Gt212*gt23L + 2*(Gt213*gt22L + gt23L*Gt313 + Gt312*gt33L)) +
2*(Gt312*(Gt123*gt12L + Gt223*gt22L + gt23L*Gt323) + gt12L*(Gt113*Gt322 + SQR(Gt112)))) +
gtu11*(Gt112*(gt12L*(2*Gt111 + 4*Gt212) + 2*(Gt211*gt22L + gt23L*Gt311 + gt13L*Gt312)) +
Gt312*(2*(Gt113*gt12L + Gt213*gt22L) + gt23L*(4*Gt212 + 2*Gt313)) + gt11L*SQR(Gt112) + 3*gt22L*SQR(Gt212) +
gt33L*SQR(Gt312)) + gtu22*(Gt122*(gt12L*(2*Gt112 + 4*Gt222) + 2*(Gt212*gt22L + gt23L*Gt312 + gt13L*Gt322)) +
Gt322*(2*(Gt123*gt12L + Gt223*gt22L) + gt23L*(4*Gt222 + 2*Gt323)) + gt11L*SQR(Gt122) + 3*gt22L*SQR(Gt222) +
gt33L*SQR(Gt322)) + gtu33*(Gt123*(gt12L*(2*Gt113 + 4*Gt223) + 2*(Gt213*gt22L + gt23L*Gt313 + gt13L*Gt323)) +
Gt323*(2*(gt12L*Gt133 + gt22L*Gt233) + gt23L*(4*Gt223 + 2*Gt333)) + gt11L*SQR(Gt123) + 3*gt22L*SQR(Gt223) +
gt33L*SQR(Gt323)) + gtu32*(gt22L*(2*(Gt122*Gt213 + Gt233*Gt322) + Gt223*(6*Gt222 + 2*Gt323)) +
4*(gt12L*(Gt123*Gt222 + Gt122*Gt223) + gt23L*(Gt223*Gt322 + Gt222*Gt323)) +
2*(Gt123*(Gt112*gt12L + Gt212*gt22L + gt23L*Gt312 + gt13L*Gt322) + gt12L*(Gt133*Gt322 + Gt123*Gt323) +
Gt122*(gt11L*Gt123 + Gt113*gt12L + gt23L*Gt313 + gt13L*Gt323) + Gt322*(gt23L*Gt333 + Gt323*gt33L) +
gt23L*SQR(Gt323))) + khalf*(-2*(gtu21*(J11L*J12L*PDstandardNth11gt22 + J12L*J21L*PDstandardNth12gt22 +
J11L*J22L*PDstandardNth12gt22 + J12L*J31L*PDstandardNth13gt22 + J11L*J32L*PDstandardNth13gt22 +
dJ112L*PDstandardNth1gt22 + J21L*J22L*PDstandardNth22gt22 + J22L*J31L*PDstandardNth23gt22 +
J21L*J32L*PDstandardNth23gt22 + dJ212L*PDstandardNth2gt22 + J31L*J32L*PDstandardNth33gt22 +
dJ312L*PDstandardNth3gt22) + gtu31*(J11L*J13L*PDstandardNth11gt22 + J13L*J21L*PDstandardNth12gt22 +
J11L*J23L*PDstandardNth12gt22 + J13L*J31L*PDstandardNth13gt22 + J11L*J33L*PDstandardNth13gt22 +
dJ113L*PDstandardNth1gt22 + J21L*J23L*PDstandardNth22gt22 + J23L*J31L*PDstandardNth23gt22 +
J21L*J33L*PDstandardNth23gt22 + dJ213L*PDstandardNth2gt22 + J31L*J33L*PDstandardNth33gt22 +
dJ313L*PDstandardNth3gt22) + gtu32*(J12L*J13L*PDstandardNth11gt22 + J13L*J22L*PDstandardNth12gt22 +
J12L*J23L*PDstandardNth12gt22 + J13L*J32L*PDstandardNth13gt22 + J12L*J33L*PDstandardNth13gt22 +
dJ123L*PDstandardNth1gt22 + J22L*J23L*PDstandardNth22gt22 + J23L*J32L*PDstandardNth23gt22 +
J22L*J33L*PDstandardNth23gt22 + dJ223L*PDstandardNth2gt22 + J32L*J33L*PDstandardNth33gt22 +
dJ323L*PDstandardNth3gt22)) - gtu11*
(2*J11L*J21L*PDstandardNth12gt22 + 2*J11L*J31L*PDstandardNth13gt22 + dJ111L*PDstandardNth1gt22 +
2*J21L*J31L*PDstandardNth23gt22 + dJ211L*PDstandardNth2gt22 + dJ311L*PDstandardNth3gt22 +
PDstandardNth11gt22*SQR(J11L) + PDstandardNth22gt22*SQR(J21L) + PDstandardNth33gt22*SQR(J31L)) -
gtu22*(2*J12L*J22L*PDstandardNth12gt22 + 2*J12L*J32L*PDstandardNth13gt22 + dJ122L*PDstandardNth1gt22 +
2*J22L*J32L*PDstandardNth23gt22 + dJ222L*PDstandardNth2gt22 + dJ322L*PDstandardNth3gt22 +
PDstandardNth11gt22*SQR(J12L) + PDstandardNth22gt22*SQR(J22L) + PDstandardNth33gt22*SQR(J32L)) -
gtu33*(2*J13L*J23L*PDstandardNth12gt22 + 2*J13L*J33L*PDstandardNth13gt22 + dJ133L*PDstandardNth1gt22 +
2*J23L*J33L*PDstandardNth23gt22 + dJ233L*PDstandardNth2gt22 + dJ333L*PDstandardNth3gt22 +
PDstandardNth11gt22*SQR(J13L) + PDstandardNth22gt22*SQR(J23L) + PDstandardNth33gt22*SQR(J33L)));
Rt23 = khalf*((gt13L*J12L + gt12L*J13L)*PDstandardNth1Xt1 + (gt23L*J12L + gt22L*J13L)*PDstandardNth1Xt2 +
(gt33L*J12L + gt23L*J13L)*PDstandardNth1Xt3 + (gt13L*J22L + gt12L*J23L)*PDstandardNth2Xt1 +
(gt23L*J22L + gt22L*J23L)*PDstandardNth2Xt2 + (gt33L*J22L + gt23L*J23L)*PDstandardNth2Xt3 -
2*(gtu21*(J11L*J12L*PDstandardNth11gt23 + J12L*J21L*PDstandardNth12gt23 + J11L*J22L*PDstandardNth12gt23 +
J12L*J31L*PDstandardNth13gt23 + J11L*J32L*PDstandardNth13gt23 + dJ112L*PDstandardNth1gt23 +
J21L*J22L*PDstandardNth22gt23 + J22L*J31L*PDstandardNth23gt23 + J21L*J32L*PDstandardNth23gt23 +
dJ212L*PDstandardNth2gt23 + J31L*J32L*PDstandardNth33gt23 + dJ312L*PDstandardNth3gt23) +
gtu31*(J11L*J13L*PDstandardNth11gt23 + J13L*J21L*PDstandardNth12gt23 + J11L*J23L*PDstandardNth12gt23 +
J13L*J31L*PDstandardNth13gt23 + J11L*J33L*PDstandardNth13gt23 + dJ113L*PDstandardNth1gt23 +
J21L*J23L*PDstandardNth22gt23 + J23L*J31L*PDstandardNth23gt23 + J21L*J33L*PDstandardNth23gt23 +
dJ213L*PDstandardNth2gt23 + J31L*J33L*PDstandardNth33gt23 + dJ313L*PDstandardNth3gt23) +
gtu32*(J12L*J13L*PDstandardNth11gt23 + J13L*J22L*PDstandardNth12gt23 + J12L*J23L*PDstandardNth12gt23 +
J13L*J32L*PDstandardNth13gt23 + J12L*J33L*PDstandardNth13gt23 + dJ123L*PDstandardNth1gt23 +
J22L*J23L*PDstandardNth22gt23 + J23L*J32L*PDstandardNth23gt23 + J22L*J33L*PDstandardNth23gt23 +
dJ223L*PDstandardNth2gt23 + J32L*J33L*PDstandardNth33gt23 + dJ323L*PDstandardNth3gt23)) +
(gt13L*J32L + gt12L*J33L)*PDstandardNth3Xt1 + (gt23L*J32L + gt22L*J33L)*PDstandardNth3Xt2 +
(gt33L*J32L + gt23L*J33L)*PDstandardNth3Xt3 +
(Gt113*gt12L + Gt112*gt13L + Gt213*gt22L + Gt212*gt23L + gt23L*Gt313 + Gt312*gt33L)*Xt1L +
(Gt123*gt12L + Gt122*gt13L + Gt223*gt22L + Gt222*gt23L + gt23L*Gt323 + Gt322*gt33L)*Xt2L +
(gt12L*Gt133 + Gt123*gt13L + gt22L*Gt233 + Gt223*gt23L + gt23L*Gt333 + Gt323*gt33L)*Xt3L +
2*((Gt112*gt11L*Gt123 + Gt111*Gt123*gt12L + Gt111*Gt122*gt13L + Gt123*gt12L*Gt212 + Gt112*gt13L*Gt222 +
2*Gt112*gt12L*Gt223 + Gt123*Gt211*gt22L + 2*Gt212*Gt223*gt22L + Gt122*Gt211*gt23L + Gt212*Gt222*gt23L +
Gt123*gt23L*Gt311 + Gt123*gt13L*Gt312 + 2*Gt223*gt23L*Gt312 + Gt113*gt13L*Gt322 + Gt213*gt23L*Gt322 +
Gt113*gt12L*Gt323 + Gt112*gt13L*Gt323 + Gt213*gt22L*Gt323 + Gt212*gt23L*Gt323 + gt23L*Gt313*Gt323 +
Gt122*Gt311*gt33L + Gt222*Gt312*gt33L + Gt313*Gt322*gt33L + Gt312*Gt323*gt33L)*gtu21 +
(Gt112*gt11L*Gt133 + Gt111*gt12L*Gt133 + Gt111*Gt123*gt13L + gt12L*Gt133*Gt212 + Gt112*gt13L*Gt223 +
Gt133*Gt211*gt22L + 2*Gt112*gt12L*Gt233 + 2*Gt212*gt22L*Gt233 + Gt123*Gt211*gt23L + Gt212*Gt223*gt23L +
Gt133*gt23L*Gt311 + Gt133*gt13L*Gt312 + 2*Gt233*gt23L*Gt312 + Gt113*gt13L*Gt323 + Gt213*gt23L*Gt323 +
Gt113*gt12L*Gt333 + Gt112*gt13L*Gt333 + Gt213*gt22L*Gt333 + Gt212*gt23L*Gt333 + gt23L*Gt313*Gt333 +
Gt123*Gt311*gt33L + Gt223*Gt312*gt33L + Gt313*Gt323*gt33L + Gt312*Gt333*gt33L)*gtu31 +
gtu21*(Gt113*gt11L*Gt122 + Gt122*gt13L*Gt212 + 2*Gt122*gt12L*Gt213 + Gt113*gt12L*Gt222 + Gt113*Gt212*gt22L +
2*Gt213*Gt222*gt22L + Gt212*Gt222*gt23L + Gt123*gt13L*Gt312 + Gt113*gt23L*Gt312 + Gt223*gt23L*Gt312 +
Gt123*gt12L*Gt313 + Gt122*gt13L*Gt313 + Gt223*gt22L*Gt313 + Gt222*gt23L*Gt313 + Gt113*gt13L*Gt322 +
2*Gt213*gt23L*Gt322 + gt23L*Gt313*Gt323 + Gt212*Gt322*gt33L + Gt313*Gt322*gt33L + Gt312*Gt323*gt33L +
Gt112*(Gt113*gt12L + Gt212*gt23L + Gt312*gt33L) + gt13L*SQR(Gt112)) +
gtu31*(2*Gt213*Gt223*gt22L + Gt112*Gt213*gt23L + Gt212*Gt223*gt23L + Gt133*gt13L*Gt312 + Gt233*gt23L*Gt312 +
gt12L*Gt133*Gt313 + gt22L*Gt233*Gt313 + Gt223*gt23L*Gt313 + Gt123*(2*gt12L*Gt213 + gt13L*(Gt212 + Gt313)) +
2*Gt213*gt23L*Gt323 + Gt113*(gt11L*Gt123 + Gt112*gt13L + gt12L*Gt223 + Gt213*gt22L + gt23L*Gt313 +
gt13L*Gt323) + gt23L*Gt313*Gt333 + Gt112*Gt313*gt33L + Gt212*Gt323*gt33L + Gt313*Gt323*gt33L +
Gt312*Gt333*gt33L + gt12L*SQR(Gt113)) +
gtu11*(Gt112*Gt113*gt11L + Gt111*Gt113*gt12L + Gt111*Gt112*gt13L + Gt113*gt12L*Gt212 + Gt112*gt13L*Gt212 +
2*Gt112*gt12L*Gt213 + Gt113*Gt211*gt22L + 2*Gt212*Gt213*gt22L + Gt112*Gt211*gt23L + Gt113*gt23L*Gt311 +
2*Gt113*gt13L*Gt312 + 3*Gt213*gt23L*Gt312 + Gt113*gt12L*Gt313 + Gt112*gt13L*Gt313 + Gt213*gt22L*Gt313 +
Gt212*gt23L*Gt313 + Gt112*Gt311*gt33L + Gt212*Gt312*gt33L + 2*Gt312*Gt313*gt33L + gt23L*SQR(Gt212) +
gt23L*SQR(Gt313)) + gtu22*(gt11L*Gt122*Gt123 + Gt112*Gt123*gt12L + Gt112*Gt122*gt13L + Gt123*gt12L*Gt222 +
Gt122*gt13L*Gt222 + 2*Gt122*gt12L*Gt223 + Gt123*Gt212*gt22L + 2*Gt222*Gt223*gt22L + Gt122*Gt212*gt23L +
Gt123*gt23L*Gt312 + 2*Gt123*gt13L*Gt322 + 3*Gt223*gt23L*Gt322 + Gt123*gt12L*Gt323 + Gt122*gt13L*Gt323 +
Gt223*gt22L*Gt323 + Gt222*gt23L*Gt323 + Gt122*Gt312*gt33L + Gt222*Gt322*gt33L + 2*Gt322*Gt323*gt33L +
gt23L*SQR(Gt222) + gt23L*SQR(Gt323)) +
gtu32*(gt11L*Gt122*Gt133 + Gt112*gt12L*Gt133 + Gt112*Gt123*gt13L + gt12L*Gt133*Gt222 + Gt122*gt13L*Gt223 +
Gt133*Gt212*gt22L + 2*Gt122*gt12L*Gt233 + 2*Gt222*gt22L*Gt233 + Gt123*Gt212*gt23L + Gt222*Gt223*gt23L +
Gt133*gt23L*Gt312 + Gt133*gt13L*Gt322 + 2*Gt233*gt23L*Gt322 + Gt123*gt13L*Gt323 + Gt223*gt23L*Gt323 +
Gt123*gt12L*Gt333 + Gt122*gt13L*Gt333 + Gt223*gt22L*Gt333 + Gt222*gt23L*Gt333 + gt23L*Gt323*Gt333 +
Gt123*Gt312*gt33L + Gt223*Gt322*gt33L + Gt322*Gt333*gt33L + gt33L*SQR(Gt323)) +
gtu32*(Gt113*Gt123*gt12L + Gt113*Gt122*gt13L + Gt123*gt13L*Gt222 + 3*Gt123*gt12L*Gt223 + Gt123*Gt213*gt22L +
Gt122*Gt213*gt23L + Gt222*Gt223*gt23L + Gt123*gt23L*Gt313 + Gt133*gt13L*Gt322 + Gt233*gt23L*Gt322 +
gt12L*Gt133*Gt323 + 2*Gt123*gt13L*Gt323 + gt22L*Gt233*Gt323 + 3*Gt223*gt23L*Gt323 + gt23L*Gt323*Gt333 +
Gt122*Gt313*gt33L + Gt222*Gt323*gt33L + Gt322*Gt333*gt33L + gt11L*SQR(Gt123) + 2*gt22L*SQR(Gt223) +
gt33L*SQR(Gt323)) + gtu33*(gt11L*Gt123*Gt133 + Gt113*gt12L*Gt133 + Gt113*Gt123*gt13L + gt12L*Gt133*Gt223 +
Gt123*gt13L*Gt223 + Gt133*Gt213*gt22L + 2*Gt123*gt12L*Gt233 + 2*Gt223*gt22L*Gt233 + Gt123*Gt213*gt23L +
Gt133*gt23L*Gt313 + 2*Gt133*gt13L*Gt323 + 3*Gt233*gt23L*Gt323 + gt12L*Gt133*Gt333 + Gt123*gt13L*Gt333 +
gt22L*Gt233*Gt333 + Gt223*gt23L*Gt333 + Gt123*Gt313*gt33L + Gt223*Gt323*gt33L + 2*Gt323*Gt333*gt33L +
gt23L*SQR(Gt223) + gt23L*SQR(Gt333))) -
gtu11*(2*J11L*J21L*PDstandardNth12gt23 + 2*J11L*J31L*PDstandardNth13gt23 + dJ111L*PDstandardNth1gt23 +
2*J21L*J31L*PDstandardNth23gt23 + dJ211L*PDstandardNth2gt23 + dJ311L*PDstandardNth3gt23 +
PDstandardNth11gt23*SQR(J11L) + PDstandardNth22gt23*SQR(J21L) + PDstandardNth33gt23*SQR(J31L)) -
gtu22*(2*J12L*J22L*PDstandardNth12gt23 + 2*J12L*J32L*PDstandardNth13gt23 + dJ122L*PDstandardNth1gt23 +
2*J22L*J32L*PDstandardNth23gt23 + dJ222L*PDstandardNth2gt23 + dJ322L*PDstandardNth3gt23 +
PDstandardNth11gt23*SQR(J12L) + PDstandardNth22gt23*SQR(J22L) + PDstandardNth33gt23*SQR(J32L)) -
gtu33*(2*J13L*J23L*PDstandardNth12gt23 + 2*J13L*J33L*PDstandardNth13gt23 + dJ133L*PDstandardNth1gt23 +
2*J23L*J33L*PDstandardNth23gt23 + dJ233L*PDstandardNth2gt23 + dJ333L*PDstandardNth3gt23 +
PDstandardNth11gt23*SQR(J13L) + PDstandardNth22gt23*SQR(J23L) + PDstandardNth33gt23*SQR(J33L)));
Rt33 = (4*((Gt123*gt13L + Gt223*gt23L)*Gt313 + (Gt113*gt13L + Gt213*gt23L)*Gt323) +
(2*Gt213*Gt322 + 6*Gt313*Gt323)*gt33L + 2*
(gt13L*(Gt122*Gt213 + Gt112*Gt223) + Gt213*(Gt223*gt22L + Gt222*gt23L) +
Gt123*(Gt111*gt13L + gt12L*Gt213 + Gt211*gt23L + Gt311*gt33L) + Gt223*(Gt212*gt23L + Gt312*gt33L) +
Gt113*(gt11L*Gt123 + Gt112*gt13L + gt12L*Gt223 + Gt212*gt23L + Gt312*gt33L)))*gtu21 +
J13L*(gt13L*PDstandardNth1Xt1 + gt23L*PDstandardNth1Xt2 + gt33L*PDstandardNth1Xt3) +
J23L*(gt13L*PDstandardNth2Xt1 + gt23L*PDstandardNth2Xt2 + gt33L*PDstandardNth2Xt3) +
J33L*(gt13L*PDstandardNth3Xt1 + gt23L*PDstandardNth3Xt2 + gt33L*PDstandardNth3Xt3) +
(Gt113*gt13L + Gt213*gt23L + Gt313*gt33L)*Xt1L + (Gt123*gt13L + Gt223*gt23L + Gt323*gt33L)*Xt2L +
(Gt133*gt13L + Gt233*gt23L + Gt333*gt33L)*Xt3L +
gtu31*(Gt133*(Gt113*gt11L + 2*(Gt111*gt13L + gt12L*Gt213 + Gt211*gt23L) + 4*gt13L*Gt313) +
Gt333*(3*Gt113*gt13L + 4*Gt213*gt23L + 6*Gt313*gt33L) +
Gt233*(Gt113*gt12L + 4*gt23L*Gt313 + 2*(Gt213*gt22L + Gt212*gt23L + Gt312*gt33L)) +
Gt113*(gt11L*Gt133 + gt12L*Gt233 + gt13L*Gt333 + 2*(Gt213*gt23L + Gt313*gt33L)) +
2*(Gt133*Gt311*gt33L + Gt213*(Gt223*gt23L + Gt323*gt33L) + gt13L*(Gt123*Gt213 + Gt112*Gt233 + SQR(Gt113)))) +
gtu32*(4*((Gt133*gt13L + Gt233*gt23L)*Gt323 + (Gt123*gt13L + Gt223*gt23L)*Gt333) +
Gt323*(2*Gt223 + 6*Gt333)*gt33L + 2*(Gt133*(Gt112*gt13L + gt12L*Gt223 + Gt212*gt23L + Gt312*gt33L) +
Gt123*(gt11L*Gt133 + gt13L*(Gt113 + Gt223) + gt12L*Gt233 + Gt213*gt23L + Gt313*gt33L) +
Gt233*(Gt122*gt13L + Gt223*gt22L + Gt222*gt23L + Gt322*gt33L) + gt23L*SQR(Gt223))) +
gtu11*(4*(Gt113*gt13L + Gt213*gt23L)*Gt313 +
2*(Gt113*(Gt111*gt13L + gt12L*Gt213 + Gt211*gt23L + Gt311*gt33L) +
Gt213*(Gt112*gt13L + Gt212*gt23L + Gt312*gt33L)) + gt11L*SQR(Gt113) + gt22L*SQR(Gt213) + 3*gt33L*SQR(Gt313))\
+ gtu22*(4*(Gt123*gt13L + Gt223*gt23L)*Gt323 +
2*(Gt123*(Gt112*gt13L + gt12L*Gt223 + Gt212*gt23L + Gt312*gt33L) +
Gt223*(Gt122*gt13L + Gt222*gt23L + Gt322*gt33L)) + gt11L*SQR(Gt123) + gt22L*SQR(Gt223) + 3*gt33L*SQR(Gt323))\
+ gtu33*(4*(Gt133*gt13L + Gt233*gt23L)*Gt333 +
2*(Gt133*(Gt113*gt13L + gt12L*Gt233 + Gt213*gt23L + Gt313*gt33L) +
Gt233*(Gt123*gt13L + Gt223*gt23L + Gt323*gt33L)) + gt11L*SQR(Gt133) + gt22L*SQR(Gt233) + 3*gt33L*SQR(Gt333))\
+ khalf*(-2*(gtu21*(J11L*J12L*PDstandardNth11gt33 + J12L*J21L*PDstandardNth12gt33 +
J11L*J22L*PDstandardNth12gt33 + J12L*J31L*PDstandardNth13gt33 + J11L*J32L*PDstandardNth13gt33 +
dJ112L*PDstandardNth1gt33 + J21L*J22L*PDstandardNth22gt33 + J22L*J31L*PDstandardNth23gt33 +
J21L*J32L*PDstandardNth23gt33 + dJ212L*PDstandardNth2gt33 + J31L*J32L*PDstandardNth33gt33 +
dJ312L*PDstandardNth3gt33) + gtu31*(J11L*J13L*PDstandardNth11gt33 + J13L*J21L*PDstandardNth12gt33 +
J11L*J23L*PDstandardNth12gt33 + J13L*J31L*PDstandardNth13gt33 + J11L*J33L*PDstandardNth13gt33 +
dJ113L*PDstandardNth1gt33 + J21L*J23L*PDstandardNth22gt33 + J23L*J31L*PDstandardNth23gt33 +
J21L*J33L*PDstandardNth23gt33 + dJ213L*PDstandardNth2gt33 + J31L*J33L*PDstandardNth33gt33 +
dJ313L*PDstandardNth3gt33) + gtu32*(J12L*J13L*PDstandardNth11gt33 + J13L*J22L*PDstandardNth12gt33 +
J12L*J23L*PDstandardNth12gt33 + J13L*J32L*PDstandardNth13gt33 + J12L*J33L*PDstandardNth13gt33 +
dJ123L*PDstandardNth1gt33 + J22L*J23L*PDstandardNth22gt33 + J23L*J32L*PDstandardNth23gt33 +
J22L*J33L*PDstandardNth23gt33 + dJ223L*PDstandardNth2gt33 + J32L*J33L*PDstandardNth33gt33 +
dJ323L*PDstandardNth3gt33)) - gtu11*
(2*J11L*J21L*PDstandardNth12gt33 + 2*J11L*J31L*PDstandardNth13gt33 + dJ111L*PDstandardNth1gt33 +
2*J21L*J31L*PDstandardNth23gt33 + dJ211L*PDstandardNth2gt33 + dJ311L*PDstandardNth3gt33 +
PDstandardNth11gt33*SQR(J11L) + PDstandardNth22gt33*SQR(J21L) + PDstandardNth33gt33*SQR(J31L)) -
gtu22*(2*J12L*J22L*PDstandardNth12gt33 + 2*J12L*J32L*PDstandardNth13gt33 + dJ122L*PDstandardNth1gt33 +
2*J22L*J32L*PDstandardNth23gt33 + dJ222L*PDstandardNth2gt33 + dJ322L*PDstandardNth3gt33 +
PDstandardNth11gt33*SQR(J12L) + PDstandardNth22gt33*SQR(J22L) + PDstandardNth33gt33*SQR(J32L)) -
gtu33*(2*J13L*J23L*PDstandardNth12gt33 + 2*J13L*J33L*PDstandardNth13gt33 + dJ133L*PDstandardNth1gt33 +
2*J23L*J33L*PDstandardNth23gt33 + dJ233L*PDstandardNth2gt33 + dJ333L*PDstandardNth3gt33 +
PDstandardNth11gt33*SQR(J13L) + PDstandardNth22gt33*SQR(J23L) + PDstandardNth33gt33*SQR(J33L)));
Rphi11 = -2*((dJ111L - Gt111*J11L - Gt211*J12L - Gt311*J13L)*PDstandardNth1phi +
2*(J11L*(J21L*PDstandardNth12phi + J31L*PDstandardNth13phi) + J21L*J31L*PDstandardNth23phi) +
(dJ211L - Gt111*J21L - Gt211*J22L - Gt311*J23L)*PDstandardNth2phi +
(dJ311L - Gt111*J31L - Gt211*J32L - Gt311*J33L)*PDstandardNth3phi + PDstandardNth11phi*SQR(J11L) +
PDstandardNth22phi*SQR(J21L) + PDstandardNth33phi*SQR(J31L) +
gt11L*((2*(dJ112L*gtu21 + dJ113L*gtu31 + dJ123L*gtu32) + gtu11*(dJ111L - Gt111*J11L - Gt211*J12L - Gt311*J13L) +
gtu22*(dJ122L - Gt122*J11L - Gt222*J12L - Gt322*J13L) +
gtu33*(dJ133L - Gt133*J11L - Gt233*J12L - Gt333*J13L) -
2*((Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32)*J11L + (Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32)*J12L +
(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32)*J13L))*PDstandardNth1phi +
(2*(dJ212L*gtu21 + dJ213L*gtu31 + dJ223L*gtu32) + gtu11*(dJ211L - Gt111*J21L - Gt211*J22L - Gt311*J23L) +
gtu22*(dJ222L - Gt122*J21L - Gt222*J22L - Gt322*J23L) +
gtu33*(dJ233L - Gt133*J21L - Gt233*J22L - Gt333*J23L) -
2*((Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32)*J21L + (Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32)*J22L +
(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32)*J23L))*PDstandardNth2phi +
(dJ322L*gtu22 + 2*(dJ313L*gtu31 + dJ323L*gtu32) + (-2*Gt112*gtu21 - Gt122*gtu22)*J31L +
(-2*Gt212*gtu21 - Gt222*gtu22)*J32L + (-2*Gt312*gtu21 - Gt322*gtu22)*J33L +
gtu11*(dJ311L - Gt111*J31L - Gt211*J32L - Gt311*J33L) +
gtu33*(dJ333L - Gt133*J31L - Gt233*J32L - Gt333*J33L) -
2*((Gt113*gtu31 + Gt123*gtu32)*J31L + (Gt213*gtu31 + Gt223*gtu32)*J32L + (Gt313*gtu31 + Gt323*gtu32)*J33L))
*PDstandardNth3phi + 2*((gtu21*J11L*J22L + gtu31*(J13L*J21L + J11L*J23L))*PDstandardNth12phi +
(gtu21*J11L*J32L + gtu31*(J13L*J31L + J11L*J33L))*PDstandardNth13phi +
J11L*((gtu21*J12L + gtu31*J13L)*PDstandardNth11phi +
gtu11*(J21L*PDstandardNth12phi + J31L*PDstandardNth13phi)) +
J12L*(gtu32*J13L*PDstandardNth11phi + gtu21*(J21L*PDstandardNth12phi + J31L*PDstandardNth13phi)) +
(gtu11*J21L*J31L + (gtu22*J22L + gtu32*J23L)*J32L + (gtu32*J22L + gtu33*J23L)*J33L)*PDstandardNth23phi +
J22L*((gtu22*J12L + gtu32*J13L)*PDstandardNth12phi + (gtu21*J21L + gtu32*J23L)*PDstandardNth22phi +
gtu21*J31L*PDstandardNth23phi) +
J23L*((gtu32*J12L + gtu33*J13L)*PDstandardNth12phi +
gtu31*(J21L*PDstandardNth22phi + J31L*PDstandardNth23phi)) +
J32L*((gtu22*J12L + gtu32*J13L)*PDstandardNth13phi + gtu32*J33L*PDstandardNth33phi +
gtu21*(J21L*PDstandardNth23phi + J31L*PDstandardNth33phi)) +
J33L*((gtu32*J12L + gtu33*J13L)*PDstandardNth13phi +
gtu31*(J21L*PDstandardNth23phi + J31L*PDstandardNth33phi)) + dJ312L*gtu21*PDstandardNth3phi) +
PDstandardNth11phi*(gtu11*SQR(J11L) + gtu22*SQR(J12L) + gtu33*SQR(J13L)) +
PDstandardNth22phi*(gtu11*SQR(J21L) + gtu22*SQR(J22L) + gtu33*SQR(J23L)) +
PDstandardNth33phi*(gtu11*SQR(J31L) + gtu22*SQR(J32L) + gtu33*SQR(J33L)))) -
4*gt11L*(2*(((gtu11*J21L + gtu21*J22L + gtu31*J23L)*J31L + (gtu21*J21L + gtu22*J22L + gtu32*J23L)*J32L +
(gtu31*J21L + gtu32*J22L + gtu33*J23L)*J33L)*PDstandardNth2phi*PDstandardNth3phi +
PDstandardNth1phi*(((gtu11*J11L + gtu21*J12L + gtu31*J13L)*J21L +
(gtu21*J11L + gtu22*J12L + gtu32*J13L)*J22L + (gtu31*J11L + gtu32*J12L + gtu33*J13L)*J23L)*
PDstandardNth2phi + ((gtu11*J11L + gtu21*J12L + gtu31*J13L)*J31L +
(gtu21*J11L + gtu22*J12L + gtu32*J13L)*J32L + (gtu31*J11L + gtu32*J12L + gtu33*J13L)*J33L)*
PDstandardNth3phi)) + (2*(gtu32*J12L*J13L + J11L*(gtu21*J12L + gtu31*J13L)) + gtu11*SQR(J11L) +
gtu22*SQR(J12L) + gtu33*SQR(J13L))*SQR(PDstandardNth1phi) +
(2*(gtu32*J22L*J23L + J21L*(gtu21*J22L + gtu31*J23L)) + gtu11*SQR(J21L) + gtu22*SQR(J22L) + gtu33*SQR(J23L))*
SQR(PDstandardNth2phi) + (2*(gtu32*J32L*J33L + J31L*(gtu21*J32L + gtu31*J33L)) + gtu11*SQR(J31L) +
gtu22*SQR(J32L) + gtu33*SQR(J33L))*SQR(PDstandardNth3phi)) +
4*SQR(J11L*PDstandardNth1phi + J21L*PDstandardNth2phi + J31L*PDstandardNth3phi);
Rphi12 = 4*(J11L*PDstandardNth1phi + J21L*PDstandardNth2phi + J31L*PDstandardNth3phi)*
(J12L*PDstandardNth1phi + J22L*PDstandardNth2phi + J32L*PDstandardNth3phi) -
2*(J12L*(J11L*PDstandardNth11phi + J21L*PDstandardNth12phi + J31L*PDstandardNth13phi) +
J11L*(J22L*PDstandardNth12phi + J32L*PDstandardNth13phi) +
(dJ112L - Gt112*J11L - Gt212*J12L - Gt312*J13L)*PDstandardNth1phi +
J22L*(J21L*PDstandardNth22phi + J31L*PDstandardNth23phi) +
(dJ212L - Gt112*J21L - Gt212*J22L - Gt312*J23L)*PDstandardNth2phi +
J32L*(J21L*PDstandardNth23phi + J31L*PDstandardNth33phi) +
(dJ312L - Gt112*J31L - Gt212*J32L - Gt312*J33L)*PDstandardNth3phi +
gt12L*((2*(dJ112L*gtu21 + dJ113L*gtu31 + dJ123L*gtu32) + gtu11*(dJ111L - Gt111*J11L - Gt211*J12L - Gt311*J13L) +
gtu22*(dJ122L - Gt122*J11L - Gt222*J12L - Gt322*J13L) +
gtu33*(dJ133L - Gt133*J11L - Gt233*J12L - Gt333*J13L) -
2*((Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32)*J11L + (Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32)*J12L +
(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32)*J13L))*PDstandardNth1phi +
(2*(dJ212L*gtu21 + dJ213L*gtu31 + dJ223L*gtu32) + gtu11*(dJ211L - Gt111*J21L - Gt211*J22L - Gt311*J23L) +
gtu22*(dJ222L - Gt122*J21L - Gt222*J22L - Gt322*J23L) +
gtu33*(dJ233L - Gt133*J21L - Gt233*J22L - Gt333*J23L) -
2*((Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32)*J21L + (Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32)*J22L +
(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32)*J23L))*PDstandardNth2phi +
(dJ322L*gtu22 + 2*(dJ313L*gtu31 + dJ323L*gtu32) + (-2*Gt112*gtu21 - Gt122*gtu22)*J31L +
(-2*Gt212*gtu21 - Gt222*gtu22)*J32L + (-2*Gt312*gtu21 - Gt322*gtu22)*J33L +
gtu11*(dJ311L - Gt111*J31L - Gt211*J32L - Gt311*J33L) +
gtu33*(dJ333L - Gt133*J31L - Gt233*J32L - Gt333*J33L) -
2*((Gt113*gtu31 + Gt123*gtu32)*J31L + (Gt213*gtu31 + Gt223*gtu32)*J32L + (Gt313*gtu31 + Gt323*gtu32)*J33L))
*PDstandardNth3phi + 2*((gtu21*J11L*J22L + gtu31*(J13L*J21L + J11L*J23L))*PDstandardNth12phi +
(gtu21*J11L*J32L + gtu31*(J13L*J31L + J11L*J33L))*PDstandardNth13phi +
J11L*((gtu21*J12L + gtu31*J13L)*PDstandardNth11phi +
gtu11*(J21L*PDstandardNth12phi + J31L*PDstandardNth13phi)) +
J12L*(gtu32*J13L*PDstandardNth11phi + gtu21*(J21L*PDstandardNth12phi + J31L*PDstandardNth13phi)) +
(gtu11*J21L*J31L + (gtu22*J22L + gtu32*J23L)*J32L + (gtu32*J22L + gtu33*J23L)*J33L)*PDstandardNth23phi +
J22L*((gtu22*J12L + gtu32*J13L)*PDstandardNth12phi + (gtu21*J21L + gtu32*J23L)*PDstandardNth22phi +
gtu21*J31L*PDstandardNth23phi) +
J23L*((gtu32*J12L + gtu33*J13L)*PDstandardNth12phi +
gtu31*(J21L*PDstandardNth22phi + J31L*PDstandardNth23phi)) +
J32L*((gtu22*J12L + gtu32*J13L)*PDstandardNth13phi + gtu32*J33L*PDstandardNth33phi +
gtu21*(J21L*PDstandardNth23phi + J31L*PDstandardNth33phi)) +
J33L*((gtu32*J12L + gtu33*J13L)*PDstandardNth13phi +
gtu31*(J21L*PDstandardNth23phi + J31L*PDstandardNth33phi)) + dJ312L*gtu21*PDstandardNth3phi) +
PDstandardNth11phi*(gtu11*SQR(J11L) + gtu22*SQR(J12L) + gtu33*SQR(J13L)) +
PDstandardNth22phi*(gtu11*SQR(J21L) + gtu22*SQR(J22L) + gtu33*SQR(J23L)) +
PDstandardNth33phi*(gtu11*SQR(J31L) + gtu22*SQR(J32L) + gtu33*SQR(J33L)))) -
4*gt12L*(2*(((gtu11*J21L + gtu21*J22L + gtu31*J23L)*J31L + (gtu21*J21L + gtu22*J22L + gtu32*J23L)*J32L +
(gtu31*J21L + gtu32*J22L + gtu33*J23L)*J33L)*PDstandardNth2phi*PDstandardNth3phi +
PDstandardNth1phi*(((gtu11*J11L + gtu21*J12L + gtu31*J13L)*J21L +
(gtu21*J11L + gtu22*J12L + gtu32*J13L)*J22L + (gtu31*J11L + gtu32*J12L + gtu33*J13L)*J23L)*
PDstandardNth2phi + ((gtu11*J11L + gtu21*J12L + gtu31*J13L)*J31L +
(gtu21*J11L + gtu22*J12L + gtu32*J13L)*J32L + (gtu31*J11L + gtu32*J12L + gtu33*J13L)*J33L)*
PDstandardNth3phi)) + (2*(gtu32*J12L*J13L + J11L*(gtu21*J12L + gtu31*J13L)) + gtu11*SQR(J11L) +
gtu22*SQR(J12L) + gtu33*SQR(J13L))*SQR(PDstandardNth1phi) +
(2*(gtu32*J22L*J23L + J21L*(gtu21*J22L + gtu31*J23L)) + gtu11*SQR(J21L) + gtu22*SQR(J22L) + gtu33*SQR(J23L))*
SQR(PDstandardNth2phi) + (2*(gtu32*J32L*J33L + J31L*(gtu21*J32L + gtu31*J33L)) + gtu11*SQR(J31L) +
gtu22*SQR(J32L) + gtu33*SQR(J33L))*SQR(PDstandardNth3phi));
Rphi13 = 4*(J11L*PDstandardNth1phi + J21L*PDstandardNth2phi + J31L*PDstandardNth3phi)*
(J13L*PDstandardNth1phi + J23L*PDstandardNth2phi + J33L*PDstandardNth3phi) -
2*(J13L*(J11L*PDstandardNth11phi + J21L*PDstandardNth12phi + J31L*PDstandardNth13phi) +
J11L*(J23L*PDstandardNth12phi + J33L*PDstandardNth13phi) +
(dJ113L - Gt113*J11L - Gt213*J12L - Gt313*J13L)*PDstandardNth1phi +
J23L*(J21L*PDstandardNth22phi + J31L*PDstandardNth23phi) +
(dJ213L - Gt113*J21L - Gt213*J22L - Gt313*J23L)*PDstandardNth2phi +
J33L*(J21L*PDstandardNth23phi + J31L*PDstandardNth33phi) +
(dJ313L - Gt113*J31L - Gt213*J32L - Gt313*J33L)*PDstandardNth3phi +
gt13L*((2*(dJ112L*gtu21 + dJ113L*gtu31 + dJ123L*gtu32) + gtu11*(dJ111L - Gt111*J11L - Gt211*J12L - Gt311*J13L) +
gtu22*(dJ122L - Gt122*J11L - Gt222*J12L - Gt322*J13L) +
gtu33*(dJ133L - Gt133*J11L - Gt233*J12L - Gt333*J13L) -
2*((Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32)*J11L + (Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32)*J12L +
(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32)*J13L))*PDstandardNth1phi +
(2*(dJ212L*gtu21 + dJ213L*gtu31 + dJ223L*gtu32) + gtu11*(dJ211L - Gt111*J21L - Gt211*J22L - Gt311*J23L) +
gtu22*(dJ222L - Gt122*J21L - Gt222*J22L - Gt322*J23L) +
gtu33*(dJ233L - Gt133*J21L - Gt233*J22L - Gt333*J23L) -
2*((Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32)*J21L + (Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32)*J22L +
(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32)*J23L))*PDstandardNth2phi +
(dJ322L*gtu22 + 2*(dJ313L*gtu31 + dJ323L*gtu32) + (-2*Gt112*gtu21 - Gt122*gtu22)*J31L +
(-2*Gt212*gtu21 - Gt222*gtu22)*J32L + (-2*Gt312*gtu21 - Gt322*gtu22)*J33L +
gtu11*(dJ311L - Gt111*J31L - Gt211*J32L - Gt311*J33L) +
gtu33*(dJ333L - Gt133*J31L - Gt233*J32L - Gt333*J33L) -
2*((Gt113*gtu31 + Gt123*gtu32)*J31L + (Gt213*gtu31 + Gt223*gtu32)*J32L + (Gt313*gtu31 + Gt323*gtu32)*J33L))
*PDstandardNth3phi + 2*((gtu21*J11L*J22L + gtu31*(J13L*J21L + J11L*J23L))*PDstandardNth12phi +
(gtu21*J11L*J32L + gtu31*(J13L*J31L + J11L*J33L))*PDstandardNth13phi +
J11L*((gtu21*J12L + gtu31*J13L)*PDstandardNth11phi +
gtu11*(J21L*PDstandardNth12phi + J31L*PDstandardNth13phi)) +
J12L*(gtu32*J13L*PDstandardNth11phi + gtu21*(J21L*PDstandardNth12phi + J31L*PDstandardNth13phi)) +
(gtu11*J21L*J31L + (gtu22*J22L + gtu32*J23L)*J32L + (gtu32*J22L + gtu33*J23L)*J33L)*PDstandardNth23phi +
J22L*((gtu22*J12L + gtu32*J13L)*PDstandardNth12phi + (gtu21*J21L + gtu32*J23L)*PDstandardNth22phi +
gtu21*J31L*PDstandardNth23phi) +
J23L*((gtu32*J12L + gtu33*J13L)*PDstandardNth12phi +
gtu31*(J21L*PDstandardNth22phi + J31L*PDstandardNth23phi)) +
J32L*((gtu22*J12L + gtu32*J13L)*PDstandardNth13phi + gtu32*J33L*PDstandardNth33phi +
gtu21*(J21L*PDstandardNth23phi + J31L*PDstandardNth33phi)) +
J33L*((gtu32*J12L + gtu33*J13L)*PDstandardNth13phi +
gtu31*(J21L*PDstandardNth23phi + J31L*PDstandardNth33phi)) + dJ312L*gtu21*PDstandardNth3phi) +
PDstandardNth11phi*(gtu11*SQR(J11L) + gtu22*SQR(J12L) + gtu33*SQR(J13L)) +
PDstandardNth22phi*(gtu11*SQR(J21L) + gtu22*SQR(J22L) + gtu33*SQR(J23L)) +
PDstandardNth33phi*(gtu11*SQR(J31L) + gtu22*SQR(J32L) + gtu33*SQR(J33L)))) -
4*gt13L*(2*(((gtu11*J21L + gtu21*J22L + gtu31*J23L)*J31L + (gtu21*J21L + gtu22*J22L + gtu32*J23L)*J32L +
(gtu31*J21L + gtu32*J22L + gtu33*J23L)*J33L)*PDstandardNth2phi*PDstandardNth3phi +
PDstandardNth1phi*(((gtu11*J11L + gtu21*J12L + gtu31*J13L)*J21L +
(gtu21*J11L + gtu22*J12L + gtu32*J13L)*J22L + (gtu31*J11L + gtu32*J12L + gtu33*J13L)*J23L)*
PDstandardNth2phi + ((gtu11*J11L + gtu21*J12L + gtu31*J13L)*J31L +
(gtu21*J11L + gtu22*J12L + gtu32*J13L)*J32L + (gtu31*J11L + gtu32*J12L + gtu33*J13L)*J33L)*
PDstandardNth3phi)) + (2*(gtu32*J12L*J13L + J11L*(gtu21*J12L + gtu31*J13L)) + gtu11*SQR(J11L) +
gtu22*SQR(J12L) + gtu33*SQR(J13L))*SQR(PDstandardNth1phi) +
(2*(gtu32*J22L*J23L + J21L*(gtu21*J22L + gtu31*J23L)) + gtu11*SQR(J21L) + gtu22*SQR(J22L) + gtu33*SQR(J23L))*
SQR(PDstandardNth2phi) + (2*(gtu32*J32L*J33L + J31L*(gtu21*J32L + gtu31*J33L)) + gtu11*SQR(J31L) +
gtu22*SQR(J32L) + gtu33*SQR(J33L))*SQR(PDstandardNth3phi));
Rphi22 = -2*((dJ122L - Gt122*J11L - Gt222*J12L - Gt322*J13L)*PDstandardNth1phi +
2*(J12L*(J22L*PDstandardNth12phi + J32L*PDstandardNth13phi) + J22L*J32L*PDstandardNth23phi) +
(dJ222L - Gt122*J21L - Gt222*J22L - Gt322*J23L)*PDstandardNth2phi +
(dJ322L - Gt122*J31L - Gt222*J32L - Gt322*J33L)*PDstandardNth3phi + PDstandardNth11phi*SQR(J12L) +
PDstandardNth22phi*SQR(J22L) + PDstandardNth33phi*SQR(J32L) +
gt22L*((2*(dJ112L*gtu21 + dJ113L*gtu31 + dJ123L*gtu32) + gtu11*(dJ111L - Gt111*J11L - Gt211*J12L - Gt311*J13L) +
gtu22*(dJ122L - Gt122*J11L - Gt222*J12L - Gt322*J13L) +
gtu33*(dJ133L - Gt133*J11L - Gt233*J12L - Gt333*J13L) -
2*((Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32)*J11L + (Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32)*J12L +
(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32)*J13L))*PDstandardNth1phi +
(2*(dJ212L*gtu21 + dJ213L*gtu31 + dJ223L*gtu32) + gtu11*(dJ211L - Gt111*J21L - Gt211*J22L - Gt311*J23L) +
gtu22*(dJ222L - Gt122*J21L - Gt222*J22L - Gt322*J23L) +
gtu33*(dJ233L - Gt133*J21L - Gt233*J22L - Gt333*J23L) -
2*((Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32)*J21L + (Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32)*J22L +
(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32)*J23L))*PDstandardNth2phi +
(dJ322L*gtu22 + 2*(dJ313L*gtu31 + dJ323L*gtu32) + (-2*Gt112*gtu21 - Gt122*gtu22)*J31L +
(-2*Gt212*gtu21 - Gt222*gtu22)*J32L + (-2*Gt312*gtu21 - Gt322*gtu22)*J33L +
gtu11*(dJ311L - Gt111*J31L - Gt211*J32L - Gt311*J33L) +
gtu33*(dJ333L - Gt133*J31L - Gt233*J32L - Gt333*J33L) -
2*((Gt113*gtu31 + Gt123*gtu32)*J31L + (Gt213*gtu31 + Gt223*gtu32)*J32L + (Gt313*gtu31 + Gt323*gtu32)*J33L))
*PDstandardNth3phi + 2*((gtu21*J11L*J22L + gtu31*(J13L*J21L + J11L*J23L))*PDstandardNth12phi +
(gtu21*J11L*J32L + gtu31*(J13L*J31L + J11L*J33L))*PDstandardNth13phi +
J11L*((gtu21*J12L + gtu31*J13L)*PDstandardNth11phi +
gtu11*(J21L*PDstandardNth12phi + J31L*PDstandardNth13phi)) +
J12L*(gtu32*J13L*PDstandardNth11phi + gtu21*(J21L*PDstandardNth12phi + J31L*PDstandardNth13phi)) +
(gtu11*J21L*J31L + (gtu22*J22L + gtu32*J23L)*J32L + (gtu32*J22L + gtu33*J23L)*J33L)*PDstandardNth23phi +
J22L*((gtu22*J12L + gtu32*J13L)*PDstandardNth12phi + (gtu21*J21L + gtu32*J23L)*PDstandardNth22phi +
gtu21*J31L*PDstandardNth23phi) +
J23L*((gtu32*J12L + gtu33*J13L)*PDstandardNth12phi +
gtu31*(J21L*PDstandardNth22phi + J31L*PDstandardNth23phi)) +
J32L*((gtu22*J12L + gtu32*J13L)*PDstandardNth13phi + gtu32*J33L*PDstandardNth33phi +
gtu21*(J21L*PDstandardNth23phi + J31L*PDstandardNth33phi)) +
J33L*((gtu32*J12L + gtu33*J13L)*PDstandardNth13phi +
gtu31*(J21L*PDstandardNth23phi + J31L*PDstandardNth33phi)) + dJ312L*gtu21*PDstandardNth3phi) +
PDstandardNth11phi*(gtu11*SQR(J11L) + gtu22*SQR(J12L) + gtu33*SQR(J13L)) +
PDstandardNth22phi*(gtu11*SQR(J21L) + gtu22*SQR(J22L) + gtu33*SQR(J23L)) +
PDstandardNth33phi*(gtu11*SQR(J31L) + gtu22*SQR(J32L) + gtu33*SQR(J33L)))) -
4*gt22L*(2*(((gtu11*J21L + gtu21*J22L + gtu31*J23L)*J31L + (gtu21*J21L + gtu22*J22L + gtu32*J23L)*J32L +
(gtu31*J21L + gtu32*J22L + gtu33*J23L)*J33L)*PDstandardNth2phi*PDstandardNth3phi +
PDstandardNth1phi*(((gtu11*J11L + gtu21*J12L + gtu31*J13L)*J21L +
(gtu21*J11L + gtu22*J12L + gtu32*J13L)*J22L + (gtu31*J11L + gtu32*J12L + gtu33*J13L)*J23L)*
PDstandardNth2phi + ((gtu11*J11L + gtu21*J12L + gtu31*J13L)*J31L +
(gtu21*J11L + gtu22*J12L + gtu32*J13L)*J32L + (gtu31*J11L + gtu32*J12L + gtu33*J13L)*J33L)*
PDstandardNth3phi)) + (2*(gtu32*J12L*J13L + J11L*(gtu21*J12L + gtu31*J13L)) + gtu11*SQR(J11L) +
gtu22*SQR(J12L) + gtu33*SQR(J13L))*SQR(PDstandardNth1phi) +
(2*(gtu32*J22L*J23L + J21L*(gtu21*J22L + gtu31*J23L)) + gtu11*SQR(J21L) + gtu22*SQR(J22L) + gtu33*SQR(J23L))*
SQR(PDstandardNth2phi) + (2*(gtu32*J32L*J33L + J31L*(gtu21*J32L + gtu31*J33L)) + gtu11*SQR(J31L) +
gtu22*SQR(J32L) + gtu33*SQR(J33L))*SQR(PDstandardNth3phi)) +
4*SQR(J12L*PDstandardNth1phi + J22L*PDstandardNth2phi + J32L*PDstandardNth3phi);
Rphi23 = 4*(J12L*PDstandardNth1phi + J22L*PDstandardNth2phi + J32L*PDstandardNth3phi)*
(J13L*PDstandardNth1phi + J23L*PDstandardNth2phi + J33L*PDstandardNth3phi) -
2*(J13L*(J12L*PDstandardNth11phi + J22L*PDstandardNth12phi + J32L*PDstandardNth13phi) +
J12L*(J23L*PDstandardNth12phi + J33L*PDstandardNth13phi) +
(dJ123L - Gt123*J11L - Gt223*J12L - Gt323*J13L)*PDstandardNth1phi +
J23L*(J22L*PDstandardNth22phi + J32L*PDstandardNth23phi) +
(dJ223L - Gt123*J21L - Gt223*J22L - Gt323*J23L)*PDstandardNth2phi +
J33L*(J22L*PDstandardNth23phi + J32L*PDstandardNth33phi) +
(dJ323L - Gt123*J31L - Gt223*J32L - Gt323*J33L)*PDstandardNth3phi +
gt23L*((2*(dJ112L*gtu21 + dJ113L*gtu31 + dJ123L*gtu32) + gtu11*(dJ111L - Gt111*J11L - Gt211*J12L - Gt311*J13L) +
gtu22*(dJ122L - Gt122*J11L - Gt222*J12L - Gt322*J13L) +
gtu33*(dJ133L - Gt133*J11L - Gt233*J12L - Gt333*J13L) -
2*((Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32)*J11L + (Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32)*J12L +
(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32)*J13L))*PDstandardNth1phi +
(2*(dJ212L*gtu21 + dJ213L*gtu31 + dJ223L*gtu32) + gtu11*(dJ211L - Gt111*J21L - Gt211*J22L - Gt311*J23L) +
gtu22*(dJ222L - Gt122*J21L - Gt222*J22L - Gt322*J23L) +
gtu33*(dJ233L - Gt133*J21L - Gt233*J22L - Gt333*J23L) -
2*((Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32)*J21L + (Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32)*J22L +
(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32)*J23L))*PDstandardNth2phi +
(dJ322L*gtu22 + 2*(dJ313L*gtu31 + dJ323L*gtu32) + (-2*Gt112*gtu21 - Gt122*gtu22)*J31L +
(-2*Gt212*gtu21 - Gt222*gtu22)*J32L + (-2*Gt312*gtu21 - Gt322*gtu22)*J33L +
gtu11*(dJ311L - Gt111*J31L - Gt211*J32L - Gt311*J33L) +
gtu33*(dJ333L - Gt133*J31L - Gt233*J32L - Gt333*J33L) -
2*((Gt113*gtu31 + Gt123*gtu32)*J31L + (Gt213*gtu31 + Gt223*gtu32)*J32L + (Gt313*gtu31 + Gt323*gtu32)*J33L))
*PDstandardNth3phi + 2*((gtu21*J11L*J22L + gtu31*(J13L*J21L + J11L*J23L))*PDstandardNth12phi +
(gtu21*J11L*J32L + gtu31*(J13L*J31L + J11L*J33L))*PDstandardNth13phi +
J11L*((gtu21*J12L + gtu31*J13L)*PDstandardNth11phi +
gtu11*(J21L*PDstandardNth12phi + J31L*PDstandardNth13phi)) +
J12L*(gtu32*J13L*PDstandardNth11phi + gtu21*(J21L*PDstandardNth12phi + J31L*PDstandardNth13phi)) +
(gtu11*J21L*J31L + (gtu22*J22L + gtu32*J23L)*J32L + (gtu32*J22L + gtu33*J23L)*J33L)*PDstandardNth23phi +
J22L*((gtu22*J12L + gtu32*J13L)*PDstandardNth12phi + (gtu21*J21L + gtu32*J23L)*PDstandardNth22phi +
gtu21*J31L*PDstandardNth23phi) +
J23L*((gtu32*J12L + gtu33*J13L)*PDstandardNth12phi +
gtu31*(J21L*PDstandardNth22phi + J31L*PDstandardNth23phi)) +
J32L*((gtu22*J12L + gtu32*J13L)*PDstandardNth13phi + gtu32*J33L*PDstandardNth33phi +
gtu21*(J21L*PDstandardNth23phi + J31L*PDstandardNth33phi)) +
J33L*((gtu32*J12L + gtu33*J13L)*PDstandardNth13phi +
gtu31*(J21L*PDstandardNth23phi + J31L*PDstandardNth33phi)) + dJ312L*gtu21*PDstandardNth3phi) +
PDstandardNth11phi*(gtu11*SQR(J11L) + gtu22*SQR(J12L) + gtu33*SQR(J13L)) +
PDstandardNth22phi*(gtu11*SQR(J21L) + gtu22*SQR(J22L) + gtu33*SQR(J23L)) +
PDstandardNth33phi*(gtu11*SQR(J31L) + gtu22*SQR(J32L) + gtu33*SQR(J33L)))) -
4*gt23L*(2*(((gtu11*J21L + gtu21*J22L + gtu31*J23L)*J31L + (gtu21*J21L + gtu22*J22L + gtu32*J23L)*J32L +
(gtu31*J21L + gtu32*J22L + gtu33*J23L)*J33L)*PDstandardNth2phi*PDstandardNth3phi +
PDstandardNth1phi*(((gtu11*J11L + gtu21*J12L + gtu31*J13L)*J21L +
(gtu21*J11L + gtu22*J12L + gtu32*J13L)*J22L + (gtu31*J11L + gtu32*J12L + gtu33*J13L)*J23L)*
PDstandardNth2phi + ((gtu11*J11L + gtu21*J12L + gtu31*J13L)*J31L +
(gtu21*J11L + gtu22*J12L + gtu32*J13L)*J32L + (gtu31*J11L + gtu32*J12L + gtu33*J13L)*J33L)*
PDstandardNth3phi)) + (2*(gtu32*J12L*J13L + J11L*(gtu21*J12L + gtu31*J13L)) + gtu11*SQR(J11L) +
gtu22*SQR(J12L) + gtu33*SQR(J13L))*SQR(PDstandardNth1phi) +
(2*(gtu32*J22L*J23L + J21L*(gtu21*J22L + gtu31*J23L)) + gtu11*SQR(J21L) + gtu22*SQR(J22L) + gtu33*SQR(J23L))*
SQR(PDstandardNth2phi) + (2*(gtu32*J32L*J33L + J31L*(gtu21*J32L + gtu31*J33L)) + gtu11*SQR(J31L) +
gtu22*SQR(J32L) + gtu33*SQR(J33L))*SQR(PDstandardNth3phi));
Rphi33 = -2*((dJ133L - Gt133*J11L - Gt233*J12L - Gt333*J13L)*PDstandardNth1phi +
2*(J13L*(J23L*PDstandardNth12phi + J33L*PDstandardNth13phi) + J23L*J33L*PDstandardNth23phi) +
(dJ233L - Gt133*J21L - Gt233*J22L - Gt333*J23L)*PDstandardNth2phi +
(dJ333L - Gt133*J31L - Gt233*J32L - Gt333*J33L)*PDstandardNth3phi + PDstandardNth11phi*SQR(J13L) +
PDstandardNth22phi*SQR(J23L) + PDstandardNth33phi*SQR(J33L) +
gt33L*((2*(dJ112L*gtu21 + dJ113L*gtu31 + dJ123L*gtu32) + gtu11*(dJ111L - Gt111*J11L - Gt211*J12L - Gt311*J13L) +
gtu22*(dJ122L - Gt122*J11L - Gt222*J12L - Gt322*J13L) +
gtu33*(dJ133L - Gt133*J11L - Gt233*J12L - Gt333*J13L) -
2*((Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32)*J11L + (Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32)*J12L +
(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32)*J13L))*PDstandardNth1phi +
(2*(dJ212L*gtu21 + dJ213L*gtu31 + dJ223L*gtu32) + gtu11*(dJ211L - Gt111*J21L - Gt211*J22L - Gt311*J23L) +
gtu22*(dJ222L - Gt122*J21L - Gt222*J22L - Gt322*J23L) +
gtu33*(dJ233L - Gt133*J21L - Gt233*J22L - Gt333*J23L) -
2*((Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32)*J21L + (Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32)*J22L +
(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32)*J23L))*PDstandardNth2phi +
(dJ322L*gtu22 + 2*(dJ313L*gtu31 + dJ323L*gtu32) + (-2*Gt112*gtu21 - Gt122*gtu22)*J31L +
(-2*Gt212*gtu21 - Gt222*gtu22)*J32L + (-2*Gt312*gtu21 - Gt322*gtu22)*J33L +
gtu11*(dJ311L - Gt111*J31L - Gt211*J32L - Gt311*J33L) +
gtu33*(dJ333L - Gt133*J31L - Gt233*J32L - Gt333*J33L) -
2*((Gt113*gtu31 + Gt123*gtu32)*J31L + (Gt213*gtu31 + Gt223*gtu32)*J32L + (Gt313*gtu31 + Gt323*gtu32)*J33L))
*PDstandardNth3phi + 2*((gtu21*J11L*J22L + gtu31*(J13L*J21L + J11L*J23L))*PDstandardNth12phi +
(gtu21*J11L*J32L + gtu31*(J13L*J31L + J11L*J33L))*PDstandardNth13phi +
J11L*((gtu21*J12L + gtu31*J13L)*PDstandardNth11phi +
gtu11*(J21L*PDstandardNth12phi + J31L*PDstandardNth13phi)) +
J12L*(gtu32*J13L*PDstandardNth11phi + gtu21*(J21L*PDstandardNth12phi + J31L*PDstandardNth13phi)) +
(gtu11*J21L*J31L + (gtu22*J22L + gtu32*J23L)*J32L + (gtu32*J22L + gtu33*J23L)*J33L)*PDstandardNth23phi +
J22L*((gtu22*J12L + gtu32*J13L)*PDstandardNth12phi + (gtu21*J21L + gtu32*J23L)*PDstandardNth22phi +
gtu21*J31L*PDstandardNth23phi) +
J23L*((gtu32*J12L + gtu33*J13L)*PDstandardNth12phi +
gtu31*(J21L*PDstandardNth22phi + J31L*PDstandardNth23phi)) +
J32L*((gtu22*J12L + gtu32*J13L)*PDstandardNth13phi + gtu32*J33L*PDstandardNth33phi +
gtu21*(J21L*PDstandardNth23phi + J31L*PDstandardNth33phi)) +
J33L*((gtu32*J12L + gtu33*J13L)*PDstandardNth13phi +
gtu31*(J21L*PDstandardNth23phi + J31L*PDstandardNth33phi)) + dJ312L*gtu21*PDstandardNth3phi) +
PDstandardNth11phi*(gtu11*SQR(J11L) + gtu22*SQR(J12L) + gtu33*SQR(J13L)) +
PDstandardNth22phi*(gtu11*SQR(J21L) + gtu22*SQR(J22L) + gtu33*SQR(J23L)) +
PDstandardNth33phi*(gtu11*SQR(J31L) + gtu22*SQR(J32L) + gtu33*SQR(J33L)))) -
4*gt33L*(2*(((gtu11*J21L + gtu21*J22L + gtu31*J23L)*J31L + (gtu21*J21L + gtu22*J22L + gtu32*J23L)*J32L +
(gtu31*J21L + gtu32*J22L + gtu33*J23L)*J33L)*PDstandardNth2phi*PDstandardNth3phi +
PDstandardNth1phi*(((gtu11*J11L + gtu21*J12L + gtu31*J13L)*J21L +
(gtu21*J11L + gtu22*J12L + gtu32*J13L)*J22L + (gtu31*J11L + gtu32*J12L + gtu33*J13L)*J23L)*
PDstandardNth2phi + ((gtu11*J11L + gtu21*J12L + gtu31*J13L)*J31L +
(gtu21*J11L + gtu22*J12L + gtu32*J13L)*J32L + (gtu31*J11L + gtu32*J12L + gtu33*J13L)*J33L)*
PDstandardNth3phi)) + (2*(gtu32*J12L*J13L + J11L*(gtu21*J12L + gtu31*J13L)) + gtu11*SQR(J11L) +
gtu22*SQR(J12L) + gtu33*SQR(J13L))*SQR(PDstandardNth1phi) +
(2*(gtu32*J22L*J23L + J21L*(gtu21*J22L + gtu31*J23L)) + gtu11*SQR(J21L) + gtu22*SQR(J22L) + gtu33*SQR(J23L))*
SQR(PDstandardNth2phi) + (2*(gtu32*J32L*J33L + J31L*(gtu21*J32L + gtu31*J33L)) + gtu11*SQR(J31L) +
gtu22*SQR(J32L) + gtu33*SQR(J33L))*SQR(PDstandardNth3phi)) +
4*SQR(J13L*PDstandardNth1phi + J23L*PDstandardNth2phi + J33L*PDstandardNth3phi);
e4phi = exp(4*phiL);
em4phi = INV(e4phi);
gu11 = em4phi*gtu11;
gu21 = em4phi*gtu21;
gu31 = em4phi*gtu31;
gu22 = em4phi*gtu22;
gu32 = em4phi*gtu32;
gu33 = em4phi*gtu33;
R11 = Rphi11 + Rt11;
R12 = Rphi12 + Rt12;
R13 = Rphi13 + Rt13;
R22 = Rphi22 + Rt22;
R23 = Rphi23 + Rt23;
R33 = Rphi33 + Rt33;
trR = gu11*R11 + gu22*R22 + 2*(gu21*R12 + gu31*R13 + gu32*R23) + gu33*R33;
Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31;
Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32;
Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33;
Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31;
Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32;
Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33;
Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31;
Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32;
Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33;
HL = -2*(Atm12*Atm21 + Atm13*Atm31 + Atm23*Atm32) + trR - SQR(Atm11) - SQR(Atm22) - SQR(Atm33) + ktwothird*SQR(trKL);
M1L = gtu11*(-2*At11L*Gt111 - 2*At12L*Gt211 - 2*At13L*Gt311 + J11L*PDstandardNth1At11 +
6*At11L*J11L*PDstandardNth1phi + J21L*PDstandardNth2At11 + 6*At11L*J21L*PDstandardNth2phi +
J31L*PDstandardNth3At11 + 6*At11L*J31L*PDstandardNth3phi) -
gtu21*(At12L*Gt111 + At11L*Gt112 + At22L*Gt211 + At12L*Gt212 + At23L*Gt311 + At13L*Gt312 -
J11L*PDstandardNth1At12 - 6*At12L*J11L*PDstandardNth1phi - J21L*PDstandardNth2At12 -
6*At12L*J21L*PDstandardNth2phi - J31L*PDstandardNth3At12 - 6*At12L*J31L*PDstandardNth3phi) -
gtu31*(At13L*Gt111 + At11L*Gt113 + At23L*Gt211 + At12L*Gt213 + At33L*Gt311 + At13L*Gt313 -
J11L*PDstandardNth1At13 - 6*At13L*J11L*PDstandardNth1phi - J21L*PDstandardNth2At13 -
6*At13L*J21L*PDstandardNth2phi - J31L*PDstandardNth3At13 - 6*At13L*J31L*PDstandardNth3phi) +
gtu21*(-2*At11L*Gt112 - 2*At12L*Gt212 - 2*At13L*Gt312 + J12L*PDstandardNth1At11 + 6*At11L*J12L*PDstandardNth1phi +
J22L*PDstandardNth2At11 + 6*At11L*J22L*PDstandardNth2phi + J32L*PDstandardNth3At11 +
6*At11L*J32L*PDstandardNth3phi) - gtu22*(At12L*Gt112 + At11L*Gt122 + At22L*Gt212 + At12L*Gt222 + At23L*Gt312 +
At13L*Gt322 - J12L*PDstandardNth1At12 - 6*At12L*J12L*PDstandardNth1phi - J22L*PDstandardNth2At12 -
6*At12L*J22L*PDstandardNth2phi - J32L*PDstandardNth3At12 - 6*At12L*J32L*PDstandardNth3phi) -
gtu32*(At13L*Gt112 + At11L*Gt123 + At23L*Gt212 + At12L*Gt223 + At33L*Gt312 + At13L*Gt323 -
J12L*PDstandardNth1At13 - 6*At13L*J12L*PDstandardNth1phi - J22L*PDstandardNth2At13 -
6*At13L*J22L*PDstandardNth2phi - J32L*PDstandardNth3At13 - 6*At13L*J32L*PDstandardNth3phi) +
gtu31*(-2*At11L*Gt113 - 2*At12L*Gt213 - 2*At13L*Gt313 + J13L*PDstandardNth1At11 + 6*At11L*J13L*PDstandardNth1phi +
J23L*PDstandardNth2At11 + 6*At11L*J23L*PDstandardNth2phi + J33L*PDstandardNth3At11 +
6*At11L*J33L*PDstandardNth3phi) - gtu32*(At12L*Gt113 + At11L*Gt123 + At22L*Gt213 + At12L*Gt223 + At23L*Gt313 +
At13L*Gt323 - J13L*PDstandardNth1At12 - 6*At12L*J13L*PDstandardNth1phi - J23L*PDstandardNth2At12 -
6*At12L*J23L*PDstandardNth2phi - J33L*PDstandardNth3At12 - 6*At12L*J33L*PDstandardNth3phi) -
gtu33*(At13L*Gt113 + At11L*Gt133 + At23L*Gt213 + At12L*Gt233 + At33L*Gt313 + At13L*Gt333 -
J13L*PDstandardNth1At13 - 6*At13L*J13L*PDstandardNth1phi - J23L*PDstandardNth2At13 -
6*At13L*J23L*PDstandardNth2phi - J33L*PDstandardNth3At13 - 6*At13L*J33L*PDstandardNth3phi) -
ktwothird*(J11L*PDstandardNth1trK + J21L*PDstandardNth2trK + J31L*PDstandardNth3trK);
M2L = -(gtu11*(At12L*Gt111 + At11L*Gt112 + At22L*Gt211 + At12L*Gt212 + At23L*Gt311 + At13L*Gt312 -
J11L*PDstandardNth1At12 - 6*At12L*J11L*PDstandardNth1phi - J21L*PDstandardNth2At12 -
6*At12L*J21L*PDstandardNth2phi - J31L*PDstandardNth3At12 - 6*At12L*J31L*PDstandardNth3phi)) +
gtu21*(-2*At12L*Gt112 - 2*At22L*Gt212 - 2*At23L*Gt312 + J11L*PDstandardNth1At22 + 6*At22L*J11L*PDstandardNth1phi +
J21L*PDstandardNth2At22 + 6*At22L*J21L*PDstandardNth2phi + J31L*PDstandardNth3At22 +
6*At22L*J31L*PDstandardNth3phi) - gtu31*(At13L*Gt112 + At12L*Gt113 + At23L*Gt212 + At22L*Gt213 + At33L*Gt312 +
At23L*Gt313 - J11L*PDstandardNth1At23 - 6*At23L*J11L*PDstandardNth1phi - J21L*PDstandardNth2At23 -
6*At23L*J21L*PDstandardNth2phi - J31L*PDstandardNth3At23 - 6*At23L*J31L*PDstandardNth3phi) -
gtu21*(At12L*Gt112 + At11L*Gt122 + At22L*Gt212 + At12L*Gt222 + At23L*Gt312 + At13L*Gt322 -
J12L*PDstandardNth1At12 - 6*At12L*J12L*PDstandardNth1phi - J22L*PDstandardNth2At12 -
6*At12L*J22L*PDstandardNth2phi - J32L*PDstandardNth3At12 - 6*At12L*J32L*PDstandardNth3phi) +
gtu22*(-2*At12L*Gt122 - 2*At22L*Gt222 - 2*At23L*Gt322 + J12L*PDstandardNth1At22 + 6*At22L*J12L*PDstandardNth1phi +
J22L*PDstandardNth2At22 + 6*At22L*J22L*PDstandardNth2phi + J32L*PDstandardNth3At22 +
6*At22L*J32L*PDstandardNth3phi) - gtu32*(At13L*Gt122 + At12L*Gt123 + At23L*Gt222 + At22L*Gt223 + At33L*Gt322 +
At23L*Gt323 - J12L*PDstandardNth1At23 - 6*At23L*J12L*PDstandardNth1phi - J22L*PDstandardNth2At23 -
6*At23L*J22L*PDstandardNth2phi - J32L*PDstandardNth3At23 - 6*At23L*J32L*PDstandardNth3phi) -
gtu31*(At12L*Gt113 + At11L*Gt123 + At22L*Gt213 + At12L*Gt223 + At23L*Gt313 + At13L*Gt323 -
J13L*PDstandardNth1At12 - 6*At12L*J13L*PDstandardNth1phi - J23L*PDstandardNth2At12 -
6*At12L*J23L*PDstandardNth2phi - J33L*PDstandardNth3At12 - 6*At12L*J33L*PDstandardNth3phi) +
gtu32*(-2*At12L*Gt123 - 2*At22L*Gt223 - 2*At23L*Gt323 + J13L*PDstandardNth1At22 + 6*At22L*J13L*PDstandardNth1phi +
J23L*PDstandardNth2At22 + 6*At22L*J23L*PDstandardNth2phi + J33L*PDstandardNth3At22 +
6*At22L*J33L*PDstandardNth3phi) - gtu33*(At13L*Gt123 + At12L*Gt133 + At23L*Gt223 + At22L*Gt233 + At33L*Gt323 +
At23L*Gt333 - J13L*PDstandardNth1At23 - 6*At23L*J13L*PDstandardNth1phi - J23L*PDstandardNth2At23 -
6*At23L*J23L*PDstandardNth2phi - J33L*PDstandardNth3At23 - 6*At23L*J33L*PDstandardNth3phi) -
ktwothird*(J12L*PDstandardNth1trK + J22L*PDstandardNth2trK + J32L*PDstandardNth3trK);
M3L = -(gtu11*(At13L*Gt111 + At11L*Gt113 + At23L*Gt211 + At12L*Gt213 + At33L*Gt311 + At13L*Gt313 -
J11L*PDstandardNth1At13 - 6*At13L*J11L*PDstandardNth1phi - J21L*PDstandardNth2At13 -
6*At13L*J21L*PDstandardNth2phi - J31L*PDstandardNth3At13 - 6*At13L*J31L*PDstandardNth3phi)) -
gtu21*(At13L*Gt112 + At12L*Gt113 + At23L*Gt212 + At22L*Gt213 + At33L*Gt312 + At23L*Gt313 -
J11L*PDstandardNth1At23 - 6*At23L*J11L*PDstandardNth1phi - J21L*PDstandardNth2At23 -
6*At23L*J21L*PDstandardNth2phi - J31L*PDstandardNth3At23 - 6*At23L*J31L*PDstandardNth3phi) +
gtu31*(-2*At13L*Gt113 - 2*At23L*Gt213 - 2*At33L*Gt313 + J11L*PDstandardNth1At33 + 6*At33L*J11L*PDstandardNth1phi +
J21L*PDstandardNth2At33 + 6*At33L*J21L*PDstandardNth2phi + J31L*PDstandardNth3At33 +
6*At33L*J31L*PDstandardNth3phi) - gtu21*(At13L*Gt112 + At11L*Gt123 + At23L*Gt212 + At12L*Gt223 + At33L*Gt312 +
At13L*Gt323 - J12L*PDstandardNth1At13 - 6*At13L*J12L*PDstandardNth1phi - J22L*PDstandardNth2At13 -
6*At13L*J22L*PDstandardNth2phi - J32L*PDstandardNth3At13 - 6*At13L*J32L*PDstandardNth3phi) -
gtu22*(At13L*Gt122 + At12L*Gt123 + At23L*Gt222 + At22L*Gt223 + At33L*Gt322 + At23L*Gt323 -
J12L*PDstandardNth1At23 - 6*At23L*J12L*PDstandardNth1phi - J22L*PDstandardNth2At23 -
6*At23L*J22L*PDstandardNth2phi - J32L*PDstandardNth3At23 - 6*At23L*J32L*PDstandardNth3phi) +
gtu32*(-2*At13L*Gt123 - 2*At23L*Gt223 - 2*At33L*Gt323 + J12L*PDstandardNth1At33 + 6*At33L*J12L*PDstandardNth1phi +
J22L*PDstandardNth2At33 + 6*At33L*J22L*PDstandardNth2phi + J32L*PDstandardNth3At33 +
6*At33L*J32L*PDstandardNth3phi) - gtu31*(At13L*Gt113 + At11L*Gt133 + At23L*Gt213 + At12L*Gt233 + At33L*Gt313 +
At13L*Gt333 - J13L*PDstandardNth1At13 - 6*At13L*J13L*PDstandardNth1phi - J23L*PDstandardNth2At13 -
6*At13L*J23L*PDstandardNth2phi - J33L*PDstandardNth3At13 - 6*At13L*J33L*PDstandardNth3phi) -
gtu32*(At13L*Gt123 + At12L*Gt133 + At23L*Gt223 + At22L*Gt233 + At33L*Gt323 + At23L*Gt333 -
J13L*PDstandardNth1At23 - 6*At23L*J13L*PDstandardNth1phi - J23L*PDstandardNth2At23 -
6*At23L*J23L*PDstandardNth2phi - J33L*PDstandardNth3At23 - 6*At23L*J33L*PDstandardNth3phi) +
gtu33*(-2*At13L*Gt133 - 2*At23L*Gt233 - 2*At33L*Gt333 + J13L*PDstandardNth1At33 + 6*At33L*J13L*PDstandardNth1phi +
J23L*PDstandardNth2At33 + 6*At33L*J23L*PDstandardNth2phi + J33L*PDstandardNth3At33 +
6*At33L*J33L*PDstandardNth3phi) - ktwothird*
(J13L*PDstandardNth1trK + J23L*PDstandardNth2trK + J33L*PDstandardNth3trK);
cSL = Log(detgt);
cXt1L = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33 - Xt1L;
cXt2L = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33 - Xt2L;
cXt3L = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33 - Xt3L;
cAL = At11L*gtu11 + At22L*gtu22 + 2*(At12L*gtu21 + At13L*gtu31 + At23L*gtu32) + At33L*gtu33;
/* Copy local copies back to grid functions */
cA[index] = cAL;
cS[index] = cSL;
cXt1[index] = cXt1L;
cXt2[index] = cXt2L;
cXt3[index] = cXt3L;
H[index] = HL;
M1[index] = M1L;
M2[index] = M2L;
M3[index] = M3L;
/* Copy local copies back to subblock grid functions */
}
LC_ENDLOOP3 (ML_BSSN_MP_constraints);
}
void ML_BSSN_MP_constraints(CCTK_ARGUMENTS)
{
DECLARE_CCTK_ARGUMENTS;
DECLARE_CCTK_PARAMETERS;
GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_MP_constraints_Body);
}
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