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diff --git a/src/GeneralizedPolynomial-Uniform/Lagrange-maximum-degree/3d.log b/src/GeneralizedPolynomial-Uniform/Lagrange-maximum-degree/3d.log new file mode 100644 index 0000000..93faeb6 --- /dev/null +++ b/src/GeneralizedPolynomial-Uniform/Lagrange-maximum-degree/3d.log @@ -0,0 +1,40709 @@ + |\^/| 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 C declarations 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 sequence of C declarations for a list of names. +# +# Argument: +# name_list = A list of the names. +# type_name = 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}), +> type_name::string, +> file_name::string ) +> local blanks, separator_string; +> +> ftruncate(file_name); +> +> map( +> proc(var::{name,string}) +> fprintf(file_name, +> "%s %s;\n", +> type_name, var); +> end proc +> , +> name_list +> ); +> +> fclose(file_name); +> NULL; +> end proc; +print_name_list_dcl := proc( +name_list::list({name, string}), type_name::string, file_name::string) +local blanks, separator_string; + ftruncate(file_name); + map(proc(var::{name, string}) + fprintf(file_name, "%s %s;\n", type_name, var) + end proc, name_list); + 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 $ +> +# +# <<<representation of numbers, data values, etc>>> +# Lagrange_polynomial_interpolant - compute Lagrange polynomial interpolant +# Hermite_polynomial_interpolant - compute Hermite polynomial interpolant +# coeffs_as_lc_of_data - coefficients of ... (linear combination of data) +# +# print_coeffs__lc_of_data - print C code to compute coefficients +# print_fetch_data - print C code to fetch input array chunk into struct data +# print_store_coeffs - print C code to store struct coeffs "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. +# +> coeffs_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; +coeffs_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 +# coeffs_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_coeffs__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_coeffs__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->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_fetch_data := +> 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_fetch_data := 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 * coeffs->coeff_p1_m1; +# +# Arguments: +# posn_list = The list of positions in the molecule. +# coeff_name_prefix = A prefix string for the coefficient names, +# eg "factor * coeffs->coeff_" +# file_name = The file name to write the coefficients to. This is +# truncated before writing. +# +> print_store_coeffs := +> proc( +> posn_list::list(list(numeric)), +> coeff_name_prefix::string, +> file_name::string +> ) +> +> ftruncate(file_name); +> map( +> proc(posn::list(numeric)) +> fprintf(file_name, +> "%a = %s;\n", +> 'COEFF'(op(posn)), +> coeff_name(posn,coeff_name_prefix)); +> end proc +> , +> posn_list +> ); +> fclose(file_name); +> +> NULL; +> end proc; +print_store_coeffs := proc(posn_list::list(list(numeric)), +coeff_name_prefix::string, file_name::string) + ftruncate(file_name); + map(proc(posn::list(numeric)) + fprintf(file_name, "%a = %s;\n", 'COEFF'(op(posn)), + coeff_name(posn, coeff_name_prefix)) + end proc, posn_list); + fclose(file_name); + NULL +end proc + +> +################################################################################ +> +# +# This function prints a C expression to evaluate a molecule, i.e. +# to compute the molecule as a linear combination of the data values. +# +# Arguments: +# posn_list = The list of positions in the molecule. +# 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_evaluate_molecule := +> proc( +> posn_list::list(list(numeric)), +> coeff_name_prefix::string, +> data_var_name_prefix::string, +> file_name::string +> ) +> +> ftruncate(file_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 + "); +> cat(op(%)); +> fprintf(file_name, " %s;\n", %); +> +> fclose(file_name); +> +> NULL; +> end proc; +print_evaluate_molecule := proc(posn_list::list(list(numeric)), +coeff_name_prefix::string, data_var_name_prefix::string, file_name::string) + ftruncate(file_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 + "); + cat(op(%)); + fprintf(file_name, " %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 Lagrange interpolating functions/coords/coeffs +# $Header: /cactusdevcvs/CactusBase/LocalInterp/src/GeneralizedPolynomial-Uniform/Lagrange/fns.maple,v 1.2 2002/08/20 16:31:24 jthorn Exp $ +> +################################################################################ +> +# +# 1-D interpolating functions +# +> +> fn_1d_order1 := +> proc(x) +> + c0 + c1*x +> end proc; + fn_1d_order1 := proc(x) c0 + c1*x end proc + +> +> fn_1d_order2 := +> proc(x) +> + c0 + c1*x + c2*x^2 +> end proc; + fn_1d_order2 := proc(x) c0 + c1*x + c2*x^2 end proc + +> +> 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_order4 := +> proc(x) +> + c0 + c1*x + c2*x^2 + c3*x^3 + c4*x^4 +> end; + fn_1d_order4 := proc(x) c0 + c1*x + c2*x^2 + c3*x^3 + c4*x^4 end proc + +> +> fn_1d_order5 := +> proc(x) +> + c0 + c1*x + c2*x^2 + c3*x^3 + c4*x^4 + c5*x^5 +> end; + fn_1d_order5 := proc(x) c0 + c1*x + c2*x^2 + c3*x^3 + c4*x^4 + c5*x^5 end proc + +> +> fn_1d_order6 := +> proc(x) +> + c0 + c1*x + c2*x^2 + c3*x^3 + c4*x^4 + c5*x^5 + c6*x^6 +> end; +fn_1d_order6 := + + proc(x) c0 + c1*x + c2*x^2 + c3*x^3 + c4*x^4 + c5*x^5 + c6*x^6 end proc + +> +######################################## +> +# coordinates for 1-D interpolating functions +> coords_list_1d := [x]; + coords_list_1d := [x] + +> +######################################## +> +# +# coefficients in 1-D interpolating functions +# +> +> coeffs_list_1d_order1 := [c0, c1]; + coeffs_list_1d_order1 := [c0, c1] + +> coeffs_list_1d_order2 := [c0, c1, c2]; + coeffs_list_1d_order2 := [c0, c1, c2] + +> coeffs_list_1d_order3 := [c0, c1, c2, c3]; + coeffs_list_1d_order3 := [c0, c1, c2, c3] + +> coeffs_list_1d_order4 := [c0, c1, c2, c3, c4]; + coeffs_list_1d_order4 := [c0, c1, c2, c3, c4] + +> coeffs_list_1d_order5 := [c0, c1, c2, c3, c4, c5]; + coeffs_list_1d_order5 := [c0, c1, c2, c3, c4, c5] + +> coeffs_list_1d_order6 := [c0, c1, c2, c3, c4, c5, c6]; + coeffs_list_1d_order6 := [c0, c1, c2, c3, c4, c5, c6] + +> +################################################################################ +> +# +# 2-D interpolating functions +# +> +> fn_2d_order1 := +> proc(x,y) +> + c01*y +> + c00 + c10*x +> end proc; + fn_2d_order1 := proc(x, y) c01*y + c00 + c10*x end proc + +> +> fn_2d_order2 := +> proc(x,y) +> + c02*y^2 +> + c01*y + c11*x*y +> + c00 + c10*x + c20*x^2 +> end proc; +fn_2d_order2 := + + proc(x, y) c02*y^2 + c01*y + c11*x*y + c00 + c10*x + c20*x^2 end proc + +> +> fn_2d_order3 := +> proc(x,y) +> + c03*y^3 +> + c02*y^2 + c12*x*y^2 +> + c01*y + c11*x*y + c21*x^2*y +> + c00 + c10*x + c20*x^2 + c30*x^3 +> end proc; +fn_2d_order3 := proc(x, y) + c03*y^3 + c02*y^2 + c12*x*y^2 + c01*y + c11*x*y + c21*x^2*y + c00 + + c10*x + c20*x^2 + c30*x^3 +end proc + +> +> fn_2d_order4 := +> proc(x,y) +> + c04*y^4 +> + c03*y^3 + c13*x*y^3 +> + c02*y^2 + c12*x*y^2 + c22*x^2*y^2 +> + c01*y + c11*x*y + c21*x^2*y + c31*x^3*y +> + c00 + c10*x + c20*x^2 + c30*x^3 + c40*x^4 +> end; +fn_2d_order4 := proc(x, y) + c04*y^4 + c03*y^3 + c13*x*y^3 + c02*y^2 + c12*x*y^2 + c22*x^2*y^2 + + c01*y + c11*x*y + c21*x^2*y + c31*x^3*y + c00 + c10*x + c20*x^2 + + c30*x^3 + c40*x^4 +end proc + +> +######################################## +> +# coordinates for 2-D interpolating functions +> coords_list_2d := [x,y]; + coords_list_2d := [x, y] + +> +######################################## +> +# +# coefficients in 2-D interpolating functions +# +> +> coeffs_list_2d_order1 := [ +> c01, +> c00, c10 +> ]; + coeffs_list_2d_order1 := [c01, c00, c10] + +> coeffs_list_2d_order2 := [ +> c02, +> c01, c11, +> c00, c10, c20 +> ]; + coeffs_list_2d_order2 := [c02, c01, c11, c00, c10, c20] + +> coeffs_list_2d_order3 := [ +> c03, +> c02, c12, +> c01, c11, c21, +> c00, c10, c20, c30 +> ]; + coeffs_list_2d_order3 := [c03, c02, c12, c01, c11, c21, c00, c10, c20, c30] + +> coeffs_list_2d_order4 := [ +> c04, +> c03, c13, +> c02, c12, c22, +> c01, c11, c21, c31, +> c00, c10, c20, c30, c40 +> ]; +coeffs_list_2d_order4 := + + [c04, c03, c13, c02, c12, c22, c01, c11, c21, c31, c00, c10, c20, c30, c40] + +> +################################################################################ +> +# +# 3-D interpolating functions +# +> +> fn_3d_order1 := +> proc(x,y,z) +# z^0 ----------- +> + c010*y +> + c000 + c100*x +# z^1 ----------- +> + c001*z +> end proc; + fn_3d_order1 := proc(x, y, z) c010*y + c000 + c100*x + c001*z end proc + +> +> fn_3d_order2 := +> proc(x,y,z) +# z^0 -------------------------- +> + c020*y^2 +> + c010*y + c110*x*y +> + c000 + c100*x + c200*x^2 +# z^1 -------------------------- +> + c011*y*z +> + c001*z + c101*x*z +# z^2 -------------------------- +> + c002*z^2 +> end proc; +fn_3d_order2 := proc(x, y, z) + c020*y^2 + c010*y + c110*x*y + c000 + c100*x + c200*x^2 + c011*y*z + + c001*z + c101*x*z + c002*z^2 +end proc + +> +> fn_3d_order3 := +> proc(x,y,z) +# z^0 ------------------------------------------- +> + c030*y^3 +> + c020*y^2 + c120*x*y^2 +> + c010*y + c110*x*y + c210*x^2*y +> + c000 + c100*x + c200*x^2 + c300*x^3 +# z^1 ------------------------------------------- +> + c021*y^2*z +> + c011*y *z + c111*x*y*z +> + c001 *z + c101*x *z + c201*x^2*z +# z^2 ------------------------------------------- +> + c012*y*z^2 +> + c002 *z^2 + c102*x*z^2 +# z^3 ------------------------------------------- +> + c003 *z^3 +> end proc; +fn_3d_order3 := proc(x, y, z) + c030*y^3 + c020*y^2 + c120*x*y^2 + c010*y + c110*x*y + c210*x^2*y + + c000 + c100*x + c200*x^2 + c300*x^3 + c021*y^2*z + c011*y*z + + c111*x*y*z + c001*z + c101*x*z + c201*x^2*z + c012*y*z^2 + c002*z^2 + + c102*x*z^2 + c003*z^3 +end proc + +> +> fn_3d_order4 := +> proc(x,y,z) +# z^0 -------------------------------------------------------- +> + c040*y^4 +> + c030*y^3 + c130*x*y^3 +> + c020*y^2 + c120*x*y^2 + c220*x^2*y^2 +> + c010*y + c110*x*y + c210*x^2*y + c310*x^3*y +> + c000 + c100*x + c200*x^2 + c300*x^3 + c400*x^4 +# z^1 ------------------------------------------- +> + c031*y^3*z +> + c021*y^2*z + c121*x*y^2*z +> + c011*y *z + c111*x*y *z + c211*x^2*y*z +> + c001 *z + c101*x *z + c201*x^2 *z + c301*x^3*z +# z^2 ------------------------------------------- +> + c022*y^2*z^2 +> + c012*y *z^2 + c112*x*y*z^2 +> + c002 *z^2 + c102*x *z^2 + c202*x^2*z^2 +# z^3 ------------------------------------------- +> + c013*y *z^3 +> + c003 *z^3 + c103*x *z^3 +# z^4 ------------------------------------------- +> + c004 *z^4 +> end; +fn_3d_order4 := proc(x, y, z) + c102*x*z^2 + c012*y*z^2 + c111*x*y*z + c121*x*y^2*z + c211*x^2*y*z + + c112*x*y*z^2 + c010*y + c110*x*y + c011*y*z + c101*x*z + c120*x*y^2 + + c210*x^2*y + c021*y^2*z + c201*x^2*z + c130*x*y^3 + c220*x^2*y^2 + + c310*x^3*y + c031*y^3*z + c301*x^3*z + c022*y^2*z^2 + c202*x^2*z^2 + + c013*y*z^3 + c103*x*z^3 + c000 + c100*x + c001*z + c020*y^2 + + c200*x^2 + c002*z^2 + c030*y^3 + c300*x^3 + c003*z^3 + c040*y^4 + + c400*x^4 + c004*z^4 +end proc + +> +######################################## +> +# coordinates for 3-D interpolating functions +> coords_list_3d := [x,y,z]; + coords_list_3d := [x, y, z] + +> +######################################## +> +# +# coefficients in 3-D interpolating functions +# +> +> coeffs_list_3d_order1 := [ +> # z^0 ----- +> c010, +> c000, c100, +> # z^1 ----- +> c001 +> ]; + coeffs_list_3d_order1 := [c010, c000, c100, c001] + +> coeffs_list_3d_order2 := [ +> # z^0 ----------- +> c020, +> c010, c110, +> c000, c100, c200, +> # z^1 ----------- +> c011, +> c001, c101, +> # z^2 ----------- +> c002 +> ]; +coeffs_list_3d_order2 := + + [c020, c010, c110, c000, c100, c200, c011, c001, c101, c002] + +> coeffs_list_3d_order3 := [ +> # z^0 ---------------- +> c030, +> c020, c120, +> c010, c110, c210, +> c000, c100, c200, c300, +> # z^1 ---------------- +> c021, +> c011, c111, +> c001, c101, c201, +> # z^2 ---------------- +> c012, +> c002, c102, +> # z^3 ---------------- +> c003 +> ]; +coeffs_list_3d_order3 := [c030, c020, c120, c010, c110, c210, c000, c100, c200, + + c300, c021, c011, c111, c001, c101, c201, c012, c002, c102, c003] + +> coeffs_list_3d_order4 := [ +> # z^0 ----------------------- +> c040, +> c030, c130, +> c020, c120, c220, +> c010, c110, c210, c310, +> c000, c100, c200, c300, c400, +> # z^1 ----------------------- +> c031, +> c021, c121, +> c011, c111, c211, +> c001, c101, c201, c301, +> # z^2 ----------------------- +> c022, +> c012, c112, +> c002, c102, c202, +> # z^3 ----------------------- +> c013, +> c003, c103, +> # z^4 ----------------------- +> c004 +> ]; +coeffs_list_3d_order4 := [c040, c030, c130, c020, c120, c220, c010, c110, c210, + + c310, c000, c100, c200, c300, c400, c031, c021, c121, c011, c111, c211, + + c001, c101, c201, c301, c022, c012, c112, c002, c102, c202, c013, c003, + + c103, c004] + +> +################################################################################ +# 3d.maple -- compute Lagrange interpolation coefficients in 3-D +# $Header: /cactusdevcvs/CactusBase/LocalInterp/src/GeneralizedPolynomial-Uniform/Lagrange/3d.maple,v 1.2 2002/08/20 16:31:24 jthorn Exp $ +> +################################################################################ +> +# +# 3d, cube, order=1, smoothing=0 (size=2) +# +> +# interpolating polynomial +> interp_3d_cube_order1_smooth0 +> := Lagrange_polynomial_interpolant(fn_3d_order1, coeffs_list_3d_order1, +> coords_list_3d, posn_list_3d_size2); +bytes used=1000768, alloc=917336, time=0.07 +interp_3d_cube_order1_smooth0 := (- 1/4 DATA(0, 0, 0) - 1/4 DATA(1, 0, 0) + + + 1/4 DATA(0, 1, 0) + 1/4 DATA(1, 1, 0) - 1/4 DATA(0, 0, 1) + + - 1/4 DATA(1, 0, 1) + 1/4 DATA(0, 1, 1) + 1/4 DATA(1, 1, 1)) y + + + 1/4 DATA(0, 0, 1) + 1/4 DATA(0, 1, 0) + 1/4 DATA(1, 0, 0) + + + 1/2 DATA(0, 0, 0) - 1/4 DATA(1, 1, 1) + (- 1/4 DATA(0, 0, 1) + + - 1/4 DATA(0, 1, 0) + 1/4 DATA(1, 0, 0) - 1/4 DATA(0, 0, 0) + + + 1/4 DATA(1, 0, 1) + 1/4 DATA(1, 1, 0) - 1/4 DATA(0, 1, 1) + + + 1/4 DATA(1, 1, 1)) x + (1/4 DATA(0, 0, 1) - 1/4 DATA(0, 1, 0) + + - 1/4 DATA(1, 0, 0) - 1/4 DATA(0, 0, 0) + 1/4 DATA(1, 0, 1) + + - 1/4 DATA(1, 1, 0) + 1/4 DATA(0, 1, 1) + 1/4 DATA(1, 1, 1)) z + +> +# I +> coeffs_as_lc_of_data(%, posn_list_3d_size2); +[COEFF(0, 0, 0) = - 1/4 y - 1/4 x + 1/2 - 1/4 z, + + COEFF(1, 0, 0) = - 1/4 y + 1/4 - 1/4 z + 1/4 x, + + COEFF(0, 1, 0) = - 1/4 z + 1/4 y + 1/4 - 1/4 x, + + COEFF(1, 1, 0) = 1/4 y - 1/4 z + 1/4 x, + + COEFF(0, 0, 1) = - 1/4 y + 1/4 + 1/4 z - 1/4 x, + + COEFF(1, 0, 1) = 1/4 z - 1/4 y + 1/4 x, + + COEFF(0, 1, 1) = - 1/4 x + 1/4 y + 1/4 z, + + COEFF(1, 1, 1) = 1/4 y + 1/4 z + 1/4 x - 1/4] + +> print_coeffs__lc_of_data(%, "coeffs_I->coeff_", "fp", +> "3d.coeffs/3d.cube.order1.smooth0/coeffs-I.compute.c"); +bytes used=2001036, alloc=1376004, time=0.15 +> +# d/dx +> simplify( diff(interp_3d_cube_order1_smooth0,x) ); +- 1/4 DATA(0, 0, 1) - 1/4 DATA(0, 1, 0) + 1/4 DATA(1, 0, 0) - 1/4 DATA(0, 0, 0) + + + 1/4 DATA(1, 0, 1) + 1/4 DATA(1, 1, 0) - 1/4 DATA(0, 1, 1) + + + 1/4 DATA(1, 1, 1) + +> coeffs_as_lc_of_data(%, posn_list_3d_size2); +[COEFF(0, 0, 0) = -1/4, COEFF(1, 0, 0) = 1/4, COEFF(0, 1, 0) = -1/4, + + COEFF(1, 1, 0) = 1/4, COEFF(0, 0, 1) = -1/4, COEFF(1, 0, 1) = 1/4, + + COEFF(0, 1, 1) = -1/4, COEFF(1, 1, 1) = 1/4] + +> print_coeffs__lc_of_data(%, "coeffs_dx->coeff_", "fp", +> "3d.coeffs/3d.cube.order1.smooth0/coeffs-dx.compute.c"); +> +# d/dy +> simplify( diff(interp_3d_cube_order1_smooth0,y) ); +bytes used=3001348, alloc=1507052, time=0.20 +- 1/4 DATA(0, 0, 0) - 1/4 DATA(1, 0, 0) + 1/4 DATA(0, 1, 0) + 1/4 DATA(1, 1, 0) + + - 1/4 DATA(0, 0, 1) - 1/4 DATA(1, 0, 1) + 1/4 DATA(0, 1, 1) + + + 1/4 DATA(1, 1, 1) + +> coeffs_as_lc_of_data(%, posn_list_3d_size2); +[COEFF(0, 0, 0) = -1/4, COEFF(1, 0, 0) = -1/4, COEFF(0, 1, 0) = 1/4, + + COEFF(1, 1, 0) = 1/4, COEFF(0, 0, 1) = -1/4, COEFF(1, 0, 1) = -1/4, + + COEFF(0, 1, 1) = 1/4, COEFF(1, 1, 1) = 1/4] + +> print_coeffs__lc_of_data(%, "coeffs_dy->coeff_", "fp", +> "3d.coeffs/3d.cube.order1.smooth0/coeffs-dy.compute.c"); +> +# d/dz +> simplify( diff(interp_3d_cube_order1_smooth0,z) ); +1/4 DATA(0, 0, 1) - 1/4 DATA(0, 1, 0) - 1/4 DATA(1, 0, 0) - 1/4 DATA(0, 0, 0) + + + 1/4 DATA(1, 0, 1) - 1/4 DATA(1, 1, 0) + 1/4 DATA(0, 1, 1) + + + 1/4 DATA(1, 1, 1) + +> coeffs_as_lc_of_data(%, posn_list_3d_size2); +[COEFF(0, 0, 0) = -1/4, COEFF(1, 0, 0) = -1/4, COEFF(0, 1, 0) = -1/4, + + COEFF(1, 1, 0) = -1/4, COEFF(0, 0, 1) = 1/4, COEFF(1, 0, 1) = 1/4, + + COEFF(0, 1, 1) = 1/4, COEFF(1, 1, 1) = 1/4] + +> print_coeffs__lc_of_data(%, "coeffs_dz->coeff_", "fp", +> "3d.coeffs/3d.cube.order1.smooth0/coeffs-dz.compute.c"); +> +################################################################################ +> +# +# 3d, cube, order=2, smoothing=0 (size=3) +# +> +# interpolating polynomial +> interp_3d_cube_order2_smooth0 +> := Lagrange_polynomial_interpolant(fn_3d_order2, coeffs_list_3d_order2, +> coords_list_3d, posn_list_3d_size3); +bytes used=4001600, alloc=1834672, time=0.27 +bytes used=5003968, alloc=1900196, time=0.33 +interp_3d_cube_order2_smooth0 := 1/27 DATA(-1, 0, -1) + 7/27 DATA(0, 0, 0) + + + 4/27 DATA(1, 0, 0) + 4/27 DATA(0, 1, 0) + 1/27 DATA(1, 1, 0) + + + 4/27 DATA(0, 0, 1) + 1/27 DATA(1, 0, 1) + 1/27 DATA(0, 1, 1) + + - 2/27 DATA(1, 1, 1) + (1/18 DATA(1, 0, -1) - 1/18 DATA(-1, 0, -1) + + + 1/18 DATA(1, 0, 0) + 1/18 DATA(1, 1, 0) + 1/18 DATA(1, 0, 1) + + + 1/18 DATA(1, 1, 1) + 1/18 DATA(1, -1, 0) - 1/18 DATA(-1, 0, 0) + + - 1/18 DATA(-1, 1, 0) - 1/18 DATA(-1, -1, 1) + 1/18 DATA(1, -1, 1) + + - 1/18 DATA(-1, 0, 1) - 1/18 DATA(-1, 1, 1) - 1/18 DATA(-1, -1, -1) + + - 1/18 DATA(-1, 1, -1) + 1/18 DATA(1, 1, -1) - 1/18 DATA(-1, -1, 0) + + + 1/18 DATA(1, -1, -1)) x + (1/18 DATA(-1, 0, -1) - 1/9 DATA(0, 0, 0) + + + 1/18 DATA(1, 0, 0) - 1/9 DATA(0, 1, 0) + 1/18 DATA(1, 1, 0) + + - 1/9 DATA(0, 0, 1) + 1/18 DATA(1, 0, 1) - 1/9 DATA(0, 1, 1) + + + 1/18 DATA(1, 1, 1) - 1/9 DATA(0, -1, 0) + 1/18 DATA(1, -1, 0) + + + 1/18 DATA(-1, 0, 0) + 1/18 DATA(-1, 1, 0) + 1/18 DATA(-1, -1, 1) + + - 1/9 DATA(0, -1, 1) + 1/18 DATA(1, -1, 1) + 1/18 DATA(-1, 0, 1) + + + 1/18 DATA(-1, 1, 1) - 1/9 DATA(0, 0, -1) + 1/18 DATA(1, 0, -1) + + + 1/18 DATA(-1, 1, -1) - 1/9 DATA(0, 1, -1) + 1/18 DATA(1, 1, -1) + + + 1/18 DATA(-1, -1, 0) + 1/18 DATA(-1, -1, -1) - 1/9 DATA(0, -1, -1) + + 2 + + 1/18 DATA(1, -1, -1)) x + (- 1/18 DATA(-1, 1, -1) + + - 1/18 DATA(-1, 0, -1) + 1/18 DATA(0, 0, 1) + 1/18 DATA(1, 0, 1) + + + 1/18 DATA(0, 1, 1) + 1/18 DATA(1, 1, 1) + 1/18 DATA(-1, -1, 1) + + + 1/18 DATA(0, -1, 1) + 1/18 DATA(1, -1, 1) + 1/18 DATA(-1, 0, 1) + + + 1/18 DATA(-1, 1, 1) - 1/18 DATA(0, 0, -1) - 1/18 DATA(1, 0, -1) + + - 1/18 DATA(0, -1, -1) - 1/18 DATA(0, 1, -1) - 1/18 DATA(1, 1, -1) + + - 1/18 DATA(-1, -1, -1) - 1/18 DATA(1, -1, -1)) z + (1/18 DATA(-1, 0, -1) + + - 1/9 DATA(0, 0, 0) - 1/9 DATA(1, 0, 0) - 1/9 DATA(0, 1, 0) + + - 1/9 DATA(1, 1, 0) + 1/18 DATA(0, 0, 1) + 1/18 DATA(1, 0, 1) + + + 1/18 DATA(0, 1, 1) + 1/18 DATA(1, 1, 1) - 1/9 DATA(0, -1, 0) + + - 1/9 DATA(1, -1, 0) - 1/9 DATA(-1, 0, 0) - 1/9 DATA(-1, 1, 0) + + + 1/18 DATA(-1, -1, 1) + 1/18 DATA(0, -1, 1) + 1/18 DATA(1, -1, 1) + + + 1/18 DATA(-1, 0, 1) + 1/18 DATA(-1, 1, 1) + 1/18 DATA(0, 0, -1) + + + 1/18 DATA(1, 0, -1) + 1/18 DATA(-1, 1, -1) + 1/18 DATA(0, 1, -1) + + + 1/18 DATA(1, 1, -1) - 1/9 DATA(-1, -1, 0) + 1/18 DATA(-1, -1, -1) + + 2 + + 1/18 DATA(0, -1, -1) + 1/18 DATA(1, -1, -1)) z + (- 1/9 DATA(-1, 0, -1) + + - 1/9 DATA(0, 0, 0) - 1/9 DATA(1, 0, 0) + 1/18 DATA(0, 1, 0) + + + 1/18 DATA(1, 1, 0) - 1/9 DATA(0, 0, 1) - 1/9 DATA(1, 0, 1) + + + 1/18 DATA(0, 1, 1) + 1/18 DATA(1, 1, 1) + 1/18 DATA(0, -1, 0) + + + 1/18 DATA(1, -1, 0) - 1/9 DATA(-1, 0, 0) + 1/18 DATA(-1, 1, 0) + + + 1/18 DATA(-1, -1, 1) + 1/18 DATA(0, -1, 1) + 1/18 DATA(1, -1, 1) + + - 1/9 DATA(-1, 0, 1) + 1/18 DATA(-1, 1, 1) - 1/9 DATA(0, 0, -1) + + - 1/9 DATA(1, 0, -1) + 1/18 DATA(-1, 1, -1) + 1/18 DATA(0, 1, -1) + + + 1/18 DATA(1, 1, -1) + 1/18 DATA(-1, -1, 0) + 1/18 DATA(-1, -1, -1) + + 2 + + 1/18 DATA(0, -1, -1) + 1/18 DATA(1, -1, -1)) y + (1/18 DATA(0, 1, -1) + + + 1/18 DATA(0, 1, 0) + 1/18 DATA(1, 1, 0) + 1/18 DATA(0, 1, 1) + + + 1/18 DATA(1, 1, 1) - 1/18 DATA(0, -1, 0) - 1/18 DATA(1, -1, 0) + + + 1/18 DATA(-1, 1, 0) - 1/18 DATA(-1, -1, 1) - 1/18 DATA(0, -1, 1) + + - 1/18 DATA(1, -1, 1) + 1/18 DATA(-1, 1, 1) + 1/18 DATA(-1, 1, -1) + + - 1/18 DATA(0, -1, -1) + 1/18 DATA(1, 1, -1) - 1/18 DATA(-1, -1, 0) + + - 1/18 DATA(-1, -1, -1) - 1/18 DATA(1, -1, -1)) y + ( + + - 1/12 DATA(-1, -1, 1) + 1/12 DATA(-1, 0, -1) + 1/12 DATA(1, 0, 1) + + + 1/12 DATA(1, 1, 1) - 1/12 DATA(1, 0, -1) + 1/12 DATA(1, -1, 1) + + - 1/12 DATA(-1, 0, 1) - 1/12 DATA(-1, 1, 1) - 1/12 DATA(1, -1, -1) + + + 1/12 DATA(-1, 1, -1) - 1/12 DATA(1, 1, -1) + 1/12 DATA(-1, -1, -1)) x z + + + (- 1/12 DATA(-1, 1, 0) + 1/12 DATA(1, 1, 0) + 1/12 DATA(1, 1, 1) + + - 1/12 DATA(1, -1, 0) - 1/12 DATA(-1, 1, -1) + 1/12 DATA(-1, -1, 1) + + - 1/12 DATA(1, -1, 1) - 1/12 DATA(-1, 1, 1) - 1/12 DATA(1, -1, -1) + + + 1/12 DATA(1, 1, -1) + 1/12 DATA(-1, -1, 0) + 1/12 DATA(-1, -1, -1)) x y + + + (- 1/12 DATA(0, -1, 1) + 1/12 DATA(0, 1, 1) + 1/12 DATA(1, 1, 1) + + - 1/12 DATA(-1, -1, 1) - 1/12 DATA(0, 1, -1) - 1/12 DATA(1, -1, 1) + + + 1/12 DATA(-1, 1, 1) - 1/12 DATA(-1, 1, -1) + 1/12 DATA(1, -1, -1) + + - 1/12 DATA(1, 1, -1) + 1/12 DATA(-1, -1, -1) + 1/12 DATA(0, -1, -1)) y z + + + 4/27 DATA(0, -1, 0) + 1/27 DATA(1, -1, 0) + 4/27 DATA(-1, 0, 0) + + + 1/27 DATA(-1, 1, 0) - 2/27 DATA(-1, -1, 1) + 1/27 DATA(0, -1, 1) + + - 2/27 DATA(1, -1, 1) + 1/27 DATA(-1, 0, 1) - 2/27 DATA(-1, 1, 1) + + + 4/27 DATA(0, 0, -1) + 1/27 DATA(1, 0, -1) - 2/27 DATA(-1, 1, -1) + + + 1/27 DATA(0, 1, -1) - 2/27 DATA(1, 1, -1) + 1/27 DATA(-1, -1, 0) + + - 2/27 DATA(-1, -1, -1) + 1/27 DATA(0, -1, -1) - 2/27 DATA(1, -1, -1) + +> +# I +> coeffs_as_lc_of_data(%, posn_list_3d_size3); +bytes used=6016752, alloc=1900196, time=0.40 + 2 +[COEFF(-1, -1, -1) = 1/12 x y + 1/12 y z + 1/18 z - 1/18 z - 1/18 y - 2/27 + + 2 2 + + 1/18 y - 1/18 x + 1/12 x z + 1/18 x , COEFF(0, -1, -1) = + + 2 2 2 + 1/12 y z - 1/9 x - 1/18 z - 1/18 y + 1/18 y + 1/18 z + 1/27, + + 2 2 2 + COEFF(1, -1, -1) = - 1/12 x z + 1/18 y + 1/18 z - 1/18 y + 1/18 x - 2/27 + + - 1/18 z - 1/12 x y + 1/12 y z + 1/18 x, COEFF(-1, 0, -1) = + + 2 2 2 + 1/18 x + 1/18 z - 1/9 y - 1/18 x + 1/27 + 1/12 x z - 1/18 z, + + 2 2 2 + COEFF(0, 0, -1) = - 1/9 x + 1/18 z + 4/27 - 1/9 y - 1/18 z, + + COEFF(1, 0, -1) = + + 2 2 2 + 1/18 x + 1/18 x + 1/18 z - 1/18 z + 1/27 - 1/9 y - 1/12 x z, + + 2 2 + COEFF(-1, 1, -1) = - 1/12 y z - 1/18 z + 1/18 y + 1/18 z + 1/18 y + + 2 + - 1/18 x - 1/12 x y + 1/18 x - 2/27 + 1/12 x z, COEFF(0, 1, -1) = + + 2 2 2 + - 1/18 z + 1/18 y + 1/18 y + 1/18 z - 1/12 y z - 1/9 x + 1/27, + + 2 2 + COEFF(1, 1, -1) = 1/18 x - 1/18 z + 1/12 x y + 1/18 z - 1/12 x z + 1/18 x + + 2 + - 2/27 + 1/18 y - 1/12 y z + 1/18 y , COEFF(-1, -1, 0) = + + 2 2 2 + 1/12 x y - 1/9 z + 1/18 x + 1/27 + 1/18 y - 1/18 x - 1/18 y, + + 2 2 2 + COEFF(0, -1, 0) = - 1/9 z - 1/9 x + 4/27 - 1/18 y + 1/18 y , + + COEFF(1, -1, 0) = + + 2 2 2 + - 1/9 z - 1/18 y + 1/27 - 1/12 x y + 1/18 y + 1/18 x + 1/18 x, + + 2 2 2 + COEFF(-1, 0, 0) = 4/27 + 1/18 x - 1/9 z - 1/18 x - 1/9 y , + + 2 2 2 + COEFF(0, 0, 0) = - 1/9 x - 1/9 z - 1/9 y + 7/27, + + 2 2 2 + COEFF(1, 0, 0) = - 1/9 y + 1/18 x + 1/18 x - 1/9 z + 4/27, + + COEFF(-1, 1, 0) = + + 2 2 2 + 1/27 + 1/18 y - 1/18 x - 1/12 x y + 1/18 y - 1/9 z + 1/18 x , + + 2 2 2 + COEFF(0, 1, 0) = 1/18 y + 1/18 y + 4/27 - 1/9 z - 1/9 x , COEFF(1, 1, 0) + + 2 2 2 + = 1/12 x y - 1/9 z + 1/27 + 1/18 y + 1/18 x + 1/18 y + 1/18 x, + + 2 + COEFF(-1, -1, 1) = 1/12 x y + 1/18 x - 1/12 y z + 1/18 z - 1/18 y + + 2 2 + - 1/12 x z + 1/18 y - 1/18 x - 2/27 + 1/18 z , COEFF(0, -1, 1) = + + 2 2 2 + - 1/12 y z + 1/18 z + 1/18 z + 1/18 y - 1/18 y - 1/9 x + 1/27, + + 2 + COEFF(1, -1, 1) = - 1/12 y z + 1/12 x z + 1/18 x - 1/12 x y + 1/18 z + + 2 2 + + 1/18 y + 1/18 x + 1/18 z - 1/18 y - 2/27, COEFF(-1, 0, 1) = + + 2 2 2 + - 1/12 x z - 1/18 x + 1/18 z + 1/18 z - 1/9 y + 1/18 x + 1/27, + + 2 2 2 + COEFF(0, 0, 1) = 1/18 z - 1/9 x + 1/18 z + 4/27 - 1/9 y , COEFF(1, 0, 1) + + 2 2 2 + = - 1/9 y + 1/12 x z + 1/18 z + 1/18 z + 1/18 x + 1/18 x + 1/27, + + 2 2 + COEFF(-1, 1, 1) = - 2/27 + 1/18 y + 1/18 y - 1/12 x y + 1/18 x + 1/18 z + + 2 + - 1/12 x z - 1/18 x + 1/12 y z + 1/18 z , COEFF(0, 1, 1) = + + 2 2 2 + - 1/9 x + 1/18 y + 1/18 z + 1/18 y + 1/12 y z + 1/18 z + 1/27, + + 2 + COEFF(1, 1, 1) = 1/12 x y + 1/12 y z + 1/18 x + 1/18 z + 1/18 x + 1/12 x z + + 2 2 + + 1/18 y - 2/27 + 1/18 y + 1/18 z ] + +> print_coeffs__lc_of_data(%, "coeffs_I->coeff_", "fp", +> "3d.coeffs/3d.cube.order2.smooth0/coeffs-I.compute.c"); +bytes used=7016988, alloc=1965720, time=0.47 +bytes used=8017216, alloc=1965720, time=0.54 +bytes used=9017496, alloc=1965720, time=0.61 +bytes used=10017692, alloc=1965720, time=0.68 +bytes used=11017876, alloc=1965720, time=0.76 +bytes used=12018432, alloc=1965720, time=0.83 +bytes used=13018804, alloc=1965720, time=0.92 +bytes used=14019172, alloc=1965720, time=1.01 +> +# d/dx +> simplify( diff(interp_3d_cube_order2_smooth0,x) ); +- 1/18 DATA(-1, 0, -1) + 1/18 DATA(1, 0, 0) + 1/18 DATA(1, 1, 0) + + + 1/18 DATA(1, 0, 1) + 1/18 DATA(1, 1, 1) + 1/18 DATA(1, -1, 0) + + - 1/18 DATA(-1, 0, 0) - 1/18 DATA(-1, 1, 0) - 1/18 DATA(-1, -1, 1) + + + 1/18 DATA(1, -1, 1) - 1/18 DATA(-1, 0, 1) - 1/18 DATA(-1, 1, 1) + + + 1/18 DATA(1, 0, -1) - 1/18 DATA(-1, 1, -1) + 1/18 DATA(1, 1, -1) + + - 1/18 DATA(-1, -1, 0) - 1/18 DATA(-1, -1, -1) + 1/18 DATA(1, -1, -1) + + + 1/12 y DATA(1, 1, -1) + 1/12 y DATA(-1, -1, -1) + 1/12 y DATA(-1, -1, 0) + + + 1/9 x DATA(1, 0, -1) - 1/12 y DATA(1, -1, 0) + 1/12 y DATA(-1, -1, 1) + + - 1/12 y DATA(-1, 1, -1) - 1/12 y DATA(1, -1, 1) - 1/12 y DATA(1, -1, -1) + + - 1/12 y DATA(-1, 1, 1) - 1/12 y DATA(-1, 1, 0) + 1/12 y DATA(1, 1, 1) + + + 1/12 y DATA(1, 1, 0) + 1/9 x DATA(1, 0, 1) + 1/9 x DATA(1, 1, 1) + + + 1/9 x DATA(1, -1, 0) + 1/9 x DATA(-1, 0, 0) + 1/9 x DATA(-1, 1, 0) + + + 1/9 x DATA(-1, -1, 1) + 1/9 x DATA(1, -1, 1) + 1/9 x DATA(-1, 0, 1) + + + 1/9 x DATA(-1, 1, 1) + 1/9 x DATA(-1, -1, -1) + 1/9 x DATA(-1, 1, -1) + + + 1/9 x DATA(1, 1, -1) + 1/9 x DATA(-1, -1, 0) + 1/9 x DATA(1, -1, -1) + + - 2/9 x DATA(0, 0, 0) - 2/9 x DATA(0, 1, 0) - 2/9 x DATA(0, 0, 1) + + - 2/9 x DATA(0, 1, 1) - 2/9 x DATA(0, -1, 0) - 2/9 x DATA(0, -1, 1) + + - 2/9 x DATA(0, 0, -1) - 2/9 x DATA(0, 1, -1) - 2/9 x DATA(0, -1, -1) + + + 1/9 x DATA(1, 0, 0) - 1/12 z DATA(-1, -1, 1) + 1/12 z DATA(-1, 0, -1) + + + 1/12 z DATA(1, 0, 1) + 1/12 z DATA(1, 1, 1) - 1/12 z DATA(1, 0, -1) + + + 1/12 z DATA(1, -1, 1) - 1/12 z DATA(-1, 0, 1) - 1/12 z DATA(-1, 1, 1) + + - 1/12 z DATA(1, -1, -1) + 1/12 z DATA(-1, 1, -1) - 1/12 z DATA(1, 1, -1) + + + 1/12 z DATA(-1, -1, -1) + 1/9 x DATA(-1, 0, -1) + 1/9 x DATA(1, 1, 0) + +> coeffs_as_lc_of_data(%, posn_list_3d_size3); +bytes used=15019376, alloc=1965720, time=1.08 +[COEFF(-1, -1, -1) = - 1/18 + 1/9 x + 1/12 z + 1/12 y, + + COEFF(0, -1, -1) = - 2/9 x, + + COEFF(1, -1, -1) = - 1/12 z - 1/12 y + 1/18 + 1/9 x, + + COEFF(-1, 0, -1) = 1/9 x - 1/18 + 1/12 z, COEFF(0, 0, -1) = - 2/9 x, + + COEFF(1, 0, -1) = 1/18 - 1/12 z + 1/9 x, + + COEFF(-1, 1, -1) = 1/9 x + 1/12 z - 1/18 - 1/12 y, + + COEFF(0, 1, -1) = - 2/9 x, COEFF(1, 1, -1) = 1/12 y + 1/9 x + 1/18 - 1/12 z, + + COEFF(-1, -1, 0) = 1/12 y - 1/18 + 1/9 x, COEFF(0, -1, 0) = - 2/9 x, + + COEFF(1, -1, 0) = 1/9 x + 1/18 - 1/12 y, COEFF(-1, 0, 0) = - 1/18 + 1/9 x, + + COEFF(0, 0, 0) = - 2/9 x, COEFF(1, 0, 0) = 1/9 x + 1/18, + + COEFF(-1, 1, 0) = 1/9 x - 1/12 y - 1/18, COEFF(0, 1, 0) = - 2/9 x, + + COEFF(1, 1, 0) = 1/12 y + 1/9 x + 1/18, + + COEFF(-1, -1, 1) = - 1/12 z - 1/18 + 1/9 x + 1/12 y, + + COEFF(0, -1, 1) = - 2/9 x, COEFF(1, -1, 1) = 1/12 z + 1/18 - 1/12 y + 1/9 x, + + COEFF(-1, 0, 1) = 1/9 x - 1/12 z - 1/18, COEFF(0, 0, 1) = - 2/9 x, + + COEFF(1, 0, 1) = 1/9 x + 1/12 z + 1/18, + + COEFF(-1, 1, 1) = - 1/12 y + 1/9 x - 1/18 - 1/12 z, + + COEFF(0, 1, 1) = - 2/9 x, COEFF(1, 1, 1) = 1/18 + 1/9 x + 1/12 y + 1/12 z] + +> print_coeffs__lc_of_data(%, "coeffs_dx->coeff_", "fp", +> "3d.coeffs/3d.cube.order2.smooth0/coeffs-dx.compute.c"); +bytes used=16019688, alloc=1965720, time=1.14 +bytes used=17019864, alloc=1965720, time=1.22 +> +# d/dy +> simplify( diff(interp_3d_cube_order2_smooth0,y) ); +1/18 DATA(0, 1, 0) + 1/18 DATA(1, 1, 0) + 1/18 DATA(0, 1, 1) + + + 1/18 DATA(1, 1, 1) + 1/9 y DATA(0, 1, 1) + 1/9 y DATA(0, -1, 0) + + - 2/9 y DATA(0, 0, 1) + 1/9 y DATA(0, -1, -1) - 2/9 y DATA(1, 0, 0) + + - 2/9 y DATA(0, 0, 0) + 1/9 y DATA(0, 1, 0) - 2/9 y DATA(-1, 0, -1) + + - 1/12 z DATA(0, -1, 1) + 1/12 z DATA(0, 1, 1) - 1/12 z DATA(0, 1, -1) + + + 1/12 z DATA(0, -1, -1) - 2/9 y DATA(1, 0, 1) - 2/9 y DATA(-1, 0, 0) + + + 1/9 y DATA(0, -1, 1) - 2/9 y DATA(-1, 0, 1) - 2/9 y DATA(0, 0, -1) + + - 2/9 y DATA(1, 0, -1) + 1/9 y DATA(0, 1, -1) - 1/18 DATA(0, -1, 0) + + - 1/18 DATA(1, -1, 0) + 1/18 DATA(-1, 1, 0) - 1/18 DATA(-1, -1, 1) + + - 1/18 DATA(0, -1, 1) - 1/18 DATA(1, -1, 1) + 1/18 DATA(-1, 1, 1) + + + 1/18 DATA(-1, 1, -1) + 1/18 DATA(0, 1, -1) + 1/18 DATA(1, 1, -1) + + - 1/18 DATA(-1, -1, 0) - 1/18 DATA(-1, -1, -1) - 1/18 DATA(0, -1, -1) + + - 1/18 DATA(1, -1, -1) + 1/9 y DATA(1, 1, -1) + 1/9 y DATA(-1, -1, -1) + + + 1/9 y DATA(-1, -1, 0) + 1/9 y DATA(1, -1, 0) + 1/9 y DATA(-1, -1, 1) + + + 1/9 y DATA(-1, 1, -1) + 1/9 y DATA(1, -1, 1) + 1/9 y DATA(1, -1, -1) + + + 1/9 y DATA(-1, 1, 1) + 1/9 y DATA(-1, 1, 0) + 1/9 y DATA(1, 1, 1) + + + 1/9 y DATA(1, 1, 0) + 1/12 x DATA(1, 1, 1) - 1/12 x DATA(1, -1, 0) + + - 1/12 x DATA(-1, 1, 0) + 1/12 x DATA(-1, -1, 1) - 1/12 x DATA(1, -1, 1) + + - 1/12 x DATA(-1, 1, 1) + 1/12 x DATA(-1, -1, -1) - 1/12 x DATA(-1, 1, -1) + + + 1/12 x DATA(1, 1, -1) + 1/12 x DATA(-1, -1, 0) - 1/12 x DATA(1, -1, -1) + + - 1/12 z DATA(-1, -1, 1) + 1/12 z DATA(1, 1, 1) - 1/12 z DATA(1, -1, 1) + + + 1/12 z DATA(-1, 1, 1) + 1/12 z DATA(1, -1, -1) - 1/12 z DATA(-1, 1, -1) + + - 1/12 z DATA(1, 1, -1) + 1/12 z DATA(-1, -1, -1) + 1/12 x DATA(1, 1, 0) + +> coeffs_as_lc_of_data(%, posn_list_3d_size3); +bytes used=18021124, alloc=1965720, time=1.32 +[COEFF(-1, -1, -1) = 1/12 z + 1/9 y + 1/12 x - 1/18, + + COEFF(0, -1, -1) = - 1/18 + 1/12 z + 1/9 y, + + COEFF(1, -1, -1) = 1/9 y + 1/12 z - 1/18 - 1/12 x, + + COEFF(-1, 0, -1) = - 2/9 y, COEFF(0, 0, -1) = - 2/9 y, + + COEFF(1, 0, -1) = - 2/9 y, + + COEFF(-1, 1, -1) = - 1/12 x + 1/9 y + 1/18 - 1/12 z, + + COEFF(0, 1, -1) = 1/9 y - 1/12 z + 1/18, + + COEFF(1, 1, -1) = - 1/12 z + 1/18 + 1/12 x + 1/9 y, + + COEFF(-1, -1, 0) = 1/12 x - 1/18 + 1/9 y, COEFF(0, -1, 0) = - 1/18 + 1/9 y, + + COEFF(1, -1, 0) = 1/9 y - 1/18 - 1/12 x, COEFF(-1, 0, 0) = - 2/9 y, + + COEFF(0, 0, 0) = - 2/9 y, COEFF(1, 0, 0) = - 2/9 y, + + COEFF(-1, 1, 0) = - 1/12 x + 1/18 + 1/9 y, COEFF(0, 1, 0) = 1/9 y + 1/18, + + COEFF(1, 1, 0) = 1/9 y + 1/12 x + 1/18, + + COEFF(-1, -1, 1) = - 1/12 z + 1/12 x - 1/18 + 1/9 y, + + COEFF(0, -1, 1) = - 1/12 z - 1/18 + 1/9 y, + + COEFF(1, -1, 1) = - 1/18 + 1/9 y - 1/12 z - 1/12 x, + + COEFF(-1, 0, 1) = - 2/9 y, COEFF(0, 0, 1) = - 2/9 y, + + COEFF(1, 0, 1) = - 2/9 y, COEFF(-1, 1, 1) = 1/12 z - 1/12 x + 1/9 y + 1/18, + + COEFF(0, 1, 1) = 1/12 z + 1/18 + 1/9 y, + + COEFF(1, 1, 1) = 1/12 x + 1/9 y + 1/12 z + 1/18] + +> print_coeffs__lc_of_data(%, "coeffs_dy->coeff_", "fp", +> "3d.coeffs/3d.cube.order2.smooth0/coeffs-dy.compute.c"); +bytes used=19021332, alloc=2031244, time=1.40 +bytes used=20021760, alloc=2031244, time=1.48 +> +# d/dz +> simplify( diff(interp_3d_cube_order2_smooth0,z) ); +- 1/18 DATA(-1, 0, -1) + 1/18 DATA(0, 0, 1) + 1/18 DATA(1, 0, 1) + + + 1/18 DATA(0, 1, 1) + 1/18 DATA(1, 1, 1) + 1/12 y DATA(0, 1, 1) + + + 1/12 y DATA(0, -1, -1) + 1/9 z DATA(0, -1, 1) + 1/9 z DATA(0, 1, 1) + + + 1/9 z DATA(0, 1, -1) + 1/9 z DATA(0, -1, -1) - 1/12 y DATA(0, -1, 1) + + - 1/12 y DATA(0, 1, -1) + 1/9 z DATA(0, 0, -1) + 1/9 z DATA(1, 0, -1) + + + 1/9 z DATA(0, 0, 1) - 2/9 z DATA(0, 0, 0) + 1/9 z DATA(-1, 0, 1) + + + 1/9 z DATA(-1, 0, -1) - 2/9 z DATA(-1, -1, 0) - 2/9 z DATA(0, 1, 0) + + - 2/9 z DATA(1, 1, 0) - 2/9 z DATA(0, -1, 0) - 2/9 z DATA(1, -1, 0) + + - 2/9 z DATA(-1, 0, 0) + 1/12 x DATA(-1, 0, -1) - 1/12 x DATA(1, 0, -1) + + - 1/12 x DATA(-1, 0, 1) + 1/9 z DATA(1, 0, 1) + 1/12 x DATA(1, 0, 1) + + - 2/9 z DATA(-1, 1, 0) - 2/9 z DATA(1, 0, 0) + 1/18 DATA(-1, -1, 1) + + + 1/18 DATA(0, -1, 1) + 1/18 DATA(1, -1, 1) + 1/18 DATA(-1, 0, 1) + + + 1/18 DATA(-1, 1, 1) - 1/18 DATA(0, 0, -1) - 1/18 DATA(1, 0, -1) + + - 1/18 DATA(-1, 1, -1) - 1/18 DATA(0, 1, -1) - 1/18 DATA(1, 1, -1) + + - 1/18 DATA(-1, -1, -1) - 1/18 DATA(0, -1, -1) - 1/18 DATA(1, -1, -1) + + - 1/12 y DATA(1, 1, -1) + 1/12 y DATA(-1, -1, -1) - 1/12 y DATA(-1, -1, 1) + + - 1/12 y DATA(-1, 1, -1) - 1/12 y DATA(1, -1, 1) + 1/12 y DATA(1, -1, -1) + + + 1/12 y DATA(-1, 1, 1) + 1/12 y DATA(1, 1, 1) + 1/12 x DATA(1, 1, 1) + + - 1/12 x DATA(-1, -1, 1) + 1/12 x DATA(1, -1, 1) - 1/12 x DATA(-1, 1, 1) + + + 1/12 x DATA(-1, -1, -1) + 1/12 x DATA(-1, 1, -1) - 1/12 x DATA(1, 1, -1) + + - 1/12 x DATA(1, -1, -1) + 1/9 z DATA(-1, -1, 1) + 1/9 z DATA(1, 1, 1) + + + 1/9 z DATA(1, -1, 1) + 1/9 z DATA(-1, 1, 1) + 1/9 z DATA(1, -1, -1) + + + 1/9 z DATA(-1, 1, -1) + 1/9 z DATA(1, 1, -1) + 1/9 z DATA(-1, -1, -1) + +> coeffs_as_lc_of_data(%, posn_list_3d_size3); +[COEFF(-1, -1, -1) = 1/12 y + 1/9 z - 1/18 + 1/12 x, + + COEFF(0, -1, -1) = - 1/18 + 1/9 z + 1/12 y, + + COEFF(1, -1, -1) = - 1/12 x - 1/18 + 1/9 z + 1/12 y, + + COEFF(-1, 0, -1) = 1/9 z + 1/12 x - 1/18, COEFF(0, 0, -1) = - 1/18 + 1/9 z, + + COEFF(1, 0, -1) = - 1/12 x - 1/18 + 1/9 z, + + COEFF(-1, 1, -1) = - 1/18 - 1/12 y + 1/12 x + 1/9 z, + + COEFF(0, 1, -1) = - 1/12 y - 1/18 + 1/9 z, + + COEFF(1, 1, -1) = - 1/12 y + 1/9 z - 1/18 - 1/12 x, + + COEFF(-1, -1, 0) = - 2/9 z, COEFF(0, -1, 0) = - 2/9 z, + + COEFF(1, -1, 0) = - 2/9 z, COEFF(-1, 0, 0) = - 2/9 z, + + COEFF(0, 0, 0) = - 2/9 z, COEFF(1, 0, 0) = - 2/9 z, + + COEFF(-1, 1, 0) = - 2/9 z, COEFF(0, 1, 0) = - 2/9 z, + + COEFF(1, 1, 0) = - 2/9 z, COEFF(-1, -1, 1) = 1/9 z - 1/12 x + 1/18 - 1/12 y, + + COEFF(0, -1, 1) = 1/18 + 1/9 z - 1/12 y, + + COEFF(1, -1, 1) = - 1/12 y + 1/18 + 1/9 z + 1/12 x, + + COEFF(-1, 0, 1) = - 1/12 x + 1/18 + 1/9 z, COEFF(0, 0, 1) = 1/18 + 1/9 z, + + COEFF(1, 0, 1) = 1/9 z + 1/18 + 1/12 x, + + COEFF(-1, 1, 1) = 1/18 + 1/9 z + 1/12 y - 1/12 x, + + COEFF(0, 1, 1) = 1/9 z + 1/18 + 1/12 y, + + COEFF(1, 1, 1) = 1/18 + 1/9 z + 1/12 y + 1/12 x] + +> print_coeffs__lc_of_data(%, "coeffs_dz->coeff_", "fp", +> "3d.coeffs/3d.cube.order2.smooth0/coeffs-dz.compute.c"); +bytes used=21021920, alloc=2031244, time=1.55 +bytes used=22022152, alloc=2031244, time=1.64 +> +# d^2/dx^2 +> simplify( diff(interp_3d_cube_order2_smooth0,x,x) ); +bytes used=23022556, alloc=2031244, time=1.74 +1/9 DATA(-1, 0, -1) - 2/9 DATA(0, 0, 0) + 1/9 DATA(1, 0, 0) - 2/9 DATA(0, 1, 0) + + + 1/9 DATA(1, 1, 0) - 2/9 DATA(0, 0, 1) + 1/9 DATA(1, 0, 1) + + - 2/9 DATA(0, 1, 1) + 1/9 DATA(1, 1, 1) - 2/9 DATA(0, -1, 0) + + + 1/9 DATA(1, -1, 0) + 1/9 DATA(-1, 0, 0) + 1/9 DATA(-1, 1, 0) + + + 1/9 DATA(-1, -1, 1) - 2/9 DATA(0, -1, 1) + 1/9 DATA(1, -1, 1) + + + 1/9 DATA(-1, 0, 1) + 1/9 DATA(-1, 1, 1) - 2/9 DATA(0, 0, -1) + + + 1/9 DATA(1, 0, -1) + 1/9 DATA(-1, 1, -1) - 2/9 DATA(0, 1, -1) + + + 1/9 DATA(1, 1, -1) + 1/9 DATA(-1, -1, 0) + 1/9 DATA(-1, -1, -1) + + - 2/9 DATA(0, -1, -1) + 1/9 DATA(1, -1, -1) + +> coeffs_as_lc_of_data(%, posn_list_3d_size3); +[COEFF(-1, -1, -1) = 1/9, COEFF(0, -1, -1) = -2/9, COEFF(1, -1, -1) = 1/9, + + COEFF(-1, 0, -1) = 1/9, COEFF(0, 0, -1) = -2/9, COEFF(1, 0, -1) = 1/9, + + COEFF(-1, 1, -1) = 1/9, COEFF(0, 1, -1) = -2/9, COEFF(1, 1, -1) = 1/9, + + COEFF(-1, -1, 0) = 1/9, COEFF(0, -1, 0) = -2/9, COEFF(1, -1, 0) = 1/9, + + COEFF(-1, 0, 0) = 1/9, COEFF(0, 0, 0) = -2/9, COEFF(1, 0, 0) = 1/9, + + COEFF(-1, 1, 0) = 1/9, COEFF(0, 1, 0) = -2/9, COEFF(1, 1, 0) = 1/9, + + COEFF(-1, -1, 1) = 1/9, COEFF(0, -1, 1) = -2/9, COEFF(1, -1, 1) = 1/9, + + COEFF(-1, 0, 1) = 1/9, COEFF(0, 0, 1) = -2/9, COEFF(1, 0, 1) = 1/9, + + COEFF(-1, 1, 1) = 1/9, COEFF(0, 1, 1) = -2/9, COEFF(1, 1, 1) = 1/9] + +> print_coeffs__lc_of_data(%, "coeffs_dxx->coeff_", "fp", +> "3d.coeffs/3d.cube.order2.smooth0/coeffs-dxx.compute.c"); +bytes used=24022828, alloc=2031244, time=1.85 +> +# d^2/dxdy +> simplify( diff(interp_3d_cube_order2_smooth0,x,y) ); +- 1/12 DATA(-1, 1, 0) + 1/12 DATA(1, 1, 0) + 1/12 DATA(1, 1, 1) + + - 1/12 DATA(1, -1, 0) - 1/12 DATA(-1, 1, -1) + 1/12 DATA(-1, -1, 1) + + - 1/12 DATA(1, -1, 1) - 1/12 DATA(-1, 1, 1) - 1/12 DATA(1, -1, -1) + + + 1/12 DATA(1, 1, -1) + 1/12 DATA(-1, -1, 0) + 1/12 DATA(-1, -1, -1) + +> coeffs_as_lc_of_data(%, posn_list_3d_size3); + -1 +[COEFF(-1, -1, -1) = 1/12, COEFF(0, -1, -1) = 0, COEFF(1, -1, -1) = --, + 12 + + COEFF(-1, 0, -1) = 0, COEFF(0, 0, -1) = 0, COEFF(1, 0, -1) = 0, + + -1 + COEFF(-1, 1, -1) = --, COEFF(0, 1, -1) = 0, COEFF(1, 1, -1) = 1/12, + 12 + + -1 + COEFF(-1, -1, 0) = 1/12, COEFF(0, -1, 0) = 0, COEFF(1, -1, 0) = --, + 12 + + COEFF(-1, 0, 0) = 0, COEFF(0, 0, 0) = 0, COEFF(1, 0, 0) = 0, + + -1 + COEFF(-1, 1, 0) = --, COEFF(0, 1, 0) = 0, COEFF(1, 1, 0) = 1/12, + 12 + + -1 + COEFF(-1, -1, 1) = 1/12, COEFF(0, -1, 1) = 0, COEFF(1, -1, 1) = --, + 12 + + COEFF(-1, 0, 1) = 0, COEFF(0, 0, 1) = 0, COEFF(1, 0, 1) = 0, + + -1 + COEFF(-1, 1, 1) = --, COEFF(0, 1, 1) = 0, COEFF(1, 1, 1) = 1/12] + 12 + +> print_coeffs__lc_of_data(%, "coeffs_dxy->coeff_", "fp", +> "3d.coeffs/3d.cube.order2.smooth0/coeffs-dxy.compute.c"); +bytes used=25023044, alloc=2031244, time=1.94 +> +# d^2/dxdz +> simplify( diff(interp_3d_cube_order2_smooth0,x,z) ); +- 1/12 DATA(-1, -1, 1) + 1/12 DATA(-1, 0, -1) + 1/12 DATA(1, 0, 1) + + + 1/12 DATA(1, 1, 1) - 1/12 DATA(1, 0, -1) + 1/12 DATA(1, -1, 1) + + - 1/12 DATA(-1, 0, 1) - 1/12 DATA(-1, 1, 1) - 1/12 DATA(1, -1, -1) + + + 1/12 DATA(-1, 1, -1) - 1/12 DATA(1, 1, -1) + 1/12 DATA(-1, -1, -1) + +> coeffs_as_lc_of_data(%, posn_list_3d_size3); + -1 +[COEFF(-1, -1, -1) = 1/12, COEFF(0, -1, -1) = 0, COEFF(1, -1, -1) = --, + 12 + + -1 + COEFF(-1, 0, -1) = 1/12, COEFF(0, 0, -1) = 0, COEFF(1, 0, -1) = --, + 12 + + -1 + COEFF(-1, 1, -1) = 1/12, COEFF(0, 1, -1) = 0, COEFF(1, 1, -1) = --, + 12 + + COEFF(-1, -1, 0) = 0, COEFF(0, -1, 0) = 0, COEFF(1, -1, 0) = 0, + + COEFF(-1, 0, 0) = 0, COEFF(0, 0, 0) = 0, COEFF(1, 0, 0) = 0, + + COEFF(-1, 1, 0) = 0, COEFF(0, 1, 0) = 0, COEFF(1, 1, 0) = 0, + + -1 + COEFF(-1, -1, 1) = --, COEFF(0, -1, 1) = 0, COEFF(1, -1, 1) = 1/12, + 12 + + -1 + COEFF(-1, 0, 1) = --, COEFF(0, 0, 1) = 0, COEFF(1, 0, 1) = 1/12, + 12 + + -1 + COEFF(-1, 1, 1) = --, COEFF(0, 1, 1) = 0, COEFF(1, 1, 1) = 1/12] + 12 + +> print_coeffs__lc_of_data(%, "coeffs_dxz->coeff_", "fp", +> "3d.coeffs/3d.cube.order2.smooth0/coeffs-dxz.compute.c"); +> +# d^2/dy^2 +> simplify( diff(interp_3d_cube_order2_smooth0,y,y) ); +bytes used=26023408, alloc=2031244, time=2.02 +- 2/9 DATA(-1, 0, -1) - 2/9 DATA(0, 0, 0) - 2/9 DATA(1, 0, 0) + + + 1/9 DATA(0, 1, 0) + 1/9 DATA(1, 1, 0) - 2/9 DATA(0, 0, 1) + + - 2/9 DATA(1, 0, 1) + 1/9 DATA(0, 1, 1) + 1/9 DATA(1, 1, 1) + + + 1/9 DATA(0, -1, 0) + 1/9 DATA(1, -1, 0) - 2/9 DATA(-1, 0, 0) + + + 1/9 DATA(-1, 1, 0) + 1/9 DATA(-1, -1, 1) + 1/9 DATA(0, -1, 1) + + + 1/9 DATA(1, -1, 1) - 2/9 DATA(-1, 0, 1) + 1/9 DATA(-1, 1, 1) + + - 2/9 DATA(0, 0, -1) - 2/9 DATA(1, 0, -1) + 1/9 DATA(-1, 1, -1) + + + 1/9 DATA(0, 1, -1) + 1/9 DATA(1, 1, -1) + 1/9 DATA(-1, -1, 0) + + + 1/9 DATA(-1, -1, -1) + 1/9 DATA(0, -1, -1) + 1/9 DATA(1, -1, -1) + +> coeffs_as_lc_of_data(%, posn_list_3d_size3); +[COEFF(-1, -1, -1) = 1/9, COEFF(0, -1, -1) = 1/9, COEFF(1, -1, -1) = 1/9, + + COEFF(-1, 0, -1) = -2/9, COEFF(0, 0, -1) = -2/9, COEFF(1, 0, -1) = -2/9, + + COEFF(-1, 1, -1) = 1/9, COEFF(0, 1, -1) = 1/9, COEFF(1, 1, -1) = 1/9, + + COEFF(-1, -1, 0) = 1/9, COEFF(0, -1, 0) = 1/9, COEFF(1, -1, 0) = 1/9, + + COEFF(-1, 0, 0) = -2/9, COEFF(0, 0, 0) = -2/9, COEFF(1, 0, 0) = -2/9, + + COEFF(-1, 1, 0) = 1/9, COEFF(0, 1, 0) = 1/9, COEFF(1, 1, 0) = 1/9, + + COEFF(-1, -1, 1) = 1/9, COEFF(0, -1, 1) = 1/9, COEFF(1, -1, 1) = 1/9, + + COEFF(-1, 0, 1) = -2/9, COEFF(0, 0, 1) = -2/9, COEFF(1, 0, 1) = -2/9, + + COEFF(-1, 1, 1) = 1/9, COEFF(0, 1, 1) = 1/9, COEFF(1, 1, 1) = 1/9] + +> print_coeffs__lc_of_data(%, "coeffs_dyy->coeff_", "fp", +> "3d.coeffs/3d.cube.order2.smooth0/coeffs-dyy.compute.c"); +bytes used=27023608, alloc=2031244, time=2.11 +> +# d^2/dydz +> simplify( diff(interp_3d_cube_order2_smooth0,y,z) ); +- 1/12 DATA(0, -1, 1) + 1/12 DATA(0, 1, 1) + 1/12 DATA(1, 1, 1) + + - 1/12 DATA(-1, -1, 1) - 1/12 DATA(0, 1, -1) - 1/12 DATA(1, -1, 1) + + + 1/12 DATA(-1, 1, 1) - 1/12 DATA(-1, 1, -1) + 1/12 DATA(1, -1, -1) + + - 1/12 DATA(1, 1, -1) + 1/12 DATA(-1, -1, -1) + 1/12 DATA(0, -1, -1) + +> coeffs_as_lc_of_data(%, posn_list_3d_size3); +[COEFF(-1, -1, -1) = 1/12, COEFF(0, -1, -1) = 1/12, COEFF(1, -1, -1) = 1/12, + + COEFF(-1, 0, -1) = 0, COEFF(0, 0, -1) = 0, COEFF(1, 0, -1) = 0, + + -1 -1 -1 + COEFF(-1, 1, -1) = --, COEFF(0, 1, -1) = --, COEFF(1, 1, -1) = --, + 12 12 12 + + COEFF(-1, -1, 0) = 0, COEFF(0, -1, 0) = 0, COEFF(1, -1, 0) = 0, + + COEFF(-1, 0, 0) = 0, COEFF(0, 0, 0) = 0, COEFF(1, 0, 0) = 0, + + COEFF(-1, 1, 0) = 0, COEFF(0, 1, 0) = 0, COEFF(1, 1, 0) = 0, + + -1 -1 -1 + COEFF(-1, -1, 1) = --, COEFF(0, -1, 1) = --, COEFF(1, -1, 1) = --, + 12 12 12 + + COEFF(-1, 0, 1) = 0, COEFF(0, 0, 1) = 0, COEFF(1, 0, 1) = 0, + + COEFF(-1, 1, 1) = 1/12, COEFF(0, 1, 1) = 1/12, COEFF(1, 1, 1) = 1/12] + +> print_coeffs__lc_of_data(%, "coeffs_dyz->coeff_", "fp", +> "3d.coeffs/3d.cube.order2.smooth0/coeffs-dyz.compute.c"); +> +# d^2/dz^2 +> simplify( diff(interp_3d_cube_order2_smooth0,z,z) ); +bytes used=28023908, alloc=2031244, time=2.23 +1/9 DATA(-1, 0, -1) - 2/9 DATA(0, 0, 0) - 2/9 DATA(1, 0, 0) - 2/9 DATA(0, 1, 0) + + - 2/9 DATA(1, 1, 0) + 1/9 DATA(0, 0, 1) + 1/9 DATA(1, 0, 1) + + + 1/9 DATA(0, 1, 1) + 1/9 DATA(1, 1, 1) - 2/9 DATA(0, -1, 0) + + - 2/9 DATA(1, -1, 0) - 2/9 DATA(-1, 0, 0) - 2/9 DATA(-1, 1, 0) + + + 1/9 DATA(-1, -1, 1) + 1/9 DATA(0, -1, 1) + 1/9 DATA(1, -1, 1) + + + 1/9 DATA(-1, 0, 1) + 1/9 DATA(-1, 1, 1) + 1/9 DATA(0, 0, -1) + + + 1/9 DATA(1, 0, -1) + 1/9 DATA(-1, 1, -1) + 1/9 DATA(0, 1, -1) + + + 1/9 DATA(1, 1, -1) - 2/9 DATA(-1, -1, 0) + 1/9 DATA(-1, -1, -1) + + + 1/9 DATA(0, -1, -1) + 1/9 DATA(1, -1, -1) + +> coeffs_as_lc_of_data(%, posn_list_3d_size3); +[COEFF(-1, -1, -1) = 1/9, COEFF(0, -1, -1) = 1/9, COEFF(1, -1, -1) = 1/9, + + COEFF(-1, 0, -1) = 1/9, COEFF(0, 0, -1) = 1/9, COEFF(1, 0, -1) = 1/9, + + COEFF(-1, 1, -1) = 1/9, COEFF(0, 1, -1) = 1/9, COEFF(1, 1, -1) = 1/9, + + COEFF(-1, -1, 0) = -2/9, COEFF(0, -1, 0) = -2/9, COEFF(1, -1, 0) = -2/9, + + COEFF(-1, 0, 0) = -2/9, COEFF(0, 0, 0) = -2/9, COEFF(1, 0, 0) = -2/9, + + COEFF(-1, 1, 0) = -2/9, COEFF(0, 1, 0) = -2/9, COEFF(1, 1, 0) = -2/9, + + COEFF(-1, -1, 1) = 1/9, COEFF(0, -1, 1) = 1/9, COEFF(1, -1, 1) = 1/9, + + COEFF(-1, 0, 1) = 1/9, COEFF(0, 0, 1) = 1/9, COEFF(1, 0, 1) = 1/9, + + COEFF(-1, 1, 1) = 1/9, COEFF(0, 1, 1) = 1/9, COEFF(1, 1, 1) = 1/9] + +> print_coeffs__lc_of_data(%, "coeffs_dzz->coeff_", "fp", +> "3d.coeffs/3d.cube.order2.smooth0/coeffs-dzz.compute.c"); +bytes used=29024060, alloc=2031244, time=2.32 +> +################################################################################ +> +# +# 3d, cube, order=3, smoothing=0 (size=4) +# +> +# interpolating polynomial +> interp_3d_cube_order3_smooth0 +> := Lagrange_polynomial_interpolant(fn_3d_order3, coeffs_list_3d_order3, +> coords_list_3d, posn_list_3d_size4); +bytes used=30024284, alloc=2031244, time=2.40 +bytes used=31110904, alloc=2162292, time=2.47 +bytes used=32111568, alloc=2227816, time=2.52 +bytes used=33116552, alloc=2293340, time=2.59 +bytes used=34116684, alloc=2293340, time=2.65 +bytes used=35117004, alloc=2293340, time=2.71 +bytes used=36117340, alloc=2293340, time=2.76 +bytes used=37121600, alloc=2293340, time=2.83 +bytes used=38126188, alloc=2293340, time=2.88 +bytes used=39126460, alloc=2358864, time=2.96 +bytes used=40126588, alloc=2358864, time=3.02 +bytes used=41126744, alloc=2358864, time=3.09 +bytes used=42127236, alloc=2358864, time=3.15 +bytes used=43129196, alloc=2358864, time=3.22 +bytes used=44129324, alloc=2358864, time=3.28 +bytes used=45129992, alloc=2358864, time=3.34 +bytes used=46130308, alloc=2358864, time=3.40 +bytes used=47130556, alloc=2358864, time=3.47 +bytes used=48131000, alloc=2358864, time=3.53 +bytes used=49136704, alloc=2358864, time=3.60 +bytes used=50136984, alloc=2424388, time=3.66 +bytes used=51137164, alloc=2424388, time=3.72 +bytes used=52137360, alloc=2424388, time=3.78 +bytes used=53138544, alloc=2424388, time=3.85 +bytes used=54139880, alloc=2424388, time=3.91 +bytes used=55140028, alloc=2424388, time=3.97 +bytes used=56144496, alloc=2424388, time=4.04 +bytes used=57144612, alloc=2424388, time=4.10 +bytes used=58144744, alloc=2424388, time=4.17 +bytes used=59144944, alloc=2424388, time=4.23 +bytes used=60148696, alloc=2424388, time=4.29 +bytes used=61148816, alloc=2424388, time=4.34 +bytes used=62150764, alloc=2424388, time=4.40 +bytes used=63150892, alloc=2424388, time=4.46 +bytes used=64151044, alloc=2424388, time=4.52 +bytes used=65151268, alloc=2424388, time=4.59 +bytes used=66151436, alloc=2424388, time=4.65 +bytes used=67151592, alloc=2424388, time=4.72 +bytes used=68151828, alloc=2424388, time=4.78 +bytes used=69151964, alloc=2424388, time=4.84 +bytes used=70152084, alloc=2424388, time=4.90 +bytes used=71152208, alloc=2424388, time=4.96 +bytes used=72152552, alloc=2424388, time=5.02 +bytes used=73152680, alloc=2424388, time=5.08 +bytes used=74153316, alloc=2424388, time=5.14 +bytes used=75153520, alloc=2424388, time=5.19 +bytes used=76153980, alloc=2424388, time=5.25 +bytes used=77154248, alloc=2424388, time=5.32 +bytes used=78154776, alloc=2424388, time=5.38 +bytes used=79154948, alloc=2424388, time=5.44 +bytes used=80155176, alloc=2424388, time=5.50 +bytes used=81155556, alloc=2424388, time=5.57 +bytes used=82159260, alloc=2424388, time=5.63 +bytes used=83162852, alloc=2424388, time=5.70 +bytes used=84167564, alloc=2424388, time=5.76 +bytes used=85167720, alloc=2424388, time=5.82 +bytes used=86168644, alloc=2424388, time=5.89 +bytes used=87168804, alloc=2424388, time=5.95 +bytes used=88170904, alloc=2424388, time=6.01 +bytes used=89177304, alloc=2424388, time=6.07 +bytes used=90183756, alloc=2424388, time=6.13 +bytes used=91183888, alloc=2424388, time=6.19 +bytes used=92187368, alloc=2424388, time=6.25 +bytes used=93188920, alloc=2424388, time=6.31 +bytes used=94192444, alloc=2424388, time=6.37 +bytes used=95195316, alloc=2424388, time=6.44 +bytes used=96198148, alloc=2424388, time=6.50 +bytes used=97219856, alloc=2424388, time=6.56 +bytes used=98223204, alloc=2424388, time=6.61 + 73 73 +interp_3d_cube_order3_smooth0 := ---- DATA(0, 2, -1) + ---- DATA(2, 0, -1) + 4000 4000 + + 73 49 + + ---- DATA(0, -1, 2) + 7/250 DATA(0, 2, 2) + ---- DATA(1, 0, 2) + 4000 4000 + + 71 59 177 + + ---- DATA(-1, 0, -1) - ---- DATA(2, -1, -1) + ---- DATA(0, 0, 0) + 2000 1000 1000 + + 397 397 49 + + ---- DATA(1, 0, 0) + ---- DATA(0, 1, 0) + ---- DATA(1, 1, 0) + 4000 4000 2000 + + 397 49 49 + + ---- DATA(0, 0, 1) + ---- DATA(1, 0, 1) + ---- DATA(0, 1, 1) + 4000 2000 2000 + + 193 59 59 + - ---- DATA(1, 1, 1) - ---- DATA(2, 2, -1) - ---- DATA(1, 2, -1) + 4000 4000 2000 + + 59 59 143 + - ---- DATA(-1, 2, -1) - ---- DATA(2, 1, -1) + ---- DATA(2, 0, 0) + 1000 2000 2000 + + 73 + + ---- DATA(2, -1, 0) + (3/160 DATA(0, 2, -1) - 1/160 DATA(2, 0, -1) + 4000 + + - 3/160 DATA(0, -1, 2) + 3/160 DATA(0, 2, 2) - 1/160 DATA(1, 0, 2) + + - 1/160 DATA(-1, 0, -1) - 3/160 DATA(2, -1, -1) + 1/160 DATA(0, 0, 0) + + + 1/160 DATA(1, 0, 0) - 1/160 DATA(0, 1, 0) - 1/160 DATA(1, 1, 0) + + + 1/160 DATA(0, 0, 1) + 1/160 DATA(1, 0, 1) - 1/160 DATA(0, 1, 1) + + - 1/160 DATA(1, 1, 1) + 3/160 DATA(2, 2, -1) + 3/160 DATA(1, 2, -1) + + + 3/160 DATA(-1, 2, -1) + 1/160 DATA(2, 1, -1) + 1/160 DATA(2, 0, 0) + + + 3/160 DATA(2, -1, 0) - 3/160 DATA(1, 2, 0) - 3/160 DATA(0, 2, 0) + + - 3/160 DATA(-1, 2, 0) - 1/160 DATA(2, 1, 0) - 3/160 DATA(2, 2, 0) + + + 3/160 DATA(2, -1, 1) + 1/160 DATA(2, 0, 1) - 3/160 DATA(-1, 2, 1) + + - 1/160 DATA(2, 1, 1) - 3/160 DATA(1, 2, 1) - 3/160 DATA(0, 2, 1) + + - 3/160 DATA(-1, -1, 2) - 3/160 DATA(2, 2, 1) - 3/160 DATA(1, -1, 2) + + - 1/160 DATA(2, 0, 2) - 1/160 DATA(0, 0, 2) - 1/160 DATA(-1, 0, 2) + + - 3/160 DATA(2, -1, 2) + 1/160 DATA(1, 1, 2) + 1/160 DATA(0, 1, 2) + + + 1/160 DATA(-1, 1, 2) + 3/160 DATA(-1, 2, 2) + 1/160 DATA(2, 1, 2) + + + 3/160 DATA(1, 2, 2) + 3/160 DATA(0, -1, 0) + 3/160 DATA(1, -1, 0) + + + 1/160 DATA(-1, 0, 0) - 1/160 DATA(-1, 1, 0) + 3/160 DATA(-1, -1, 1) + + + 3/160 DATA(0, -1, 1) + 3/160 DATA(1, -1, 1) + 1/160 DATA(-1, 0, 1) + + - 1/160 DATA(-1, 1, 1) - 1/160 DATA(0, 0, -1) - 1/160 DATA(1, 0, -1) + + + 1/160 DATA(-1, 1, -1) + 1/160 DATA(0, 1, -1) + 1/160 DATA(1, 1, -1) + + + 3/160 DATA(-1, -1, 0) - 3/160 DATA(-1, -1, -1) - 3/160 DATA(0, -1, -1) + + 2 49 + - 3/160 DATA(1, -1, -1) + 3/160 DATA(2, 2, 2)) y z + ---- DATA(1, 2, 0) + 4000 + + 143 73 49 + + ---- DATA(0, 2, 0) + ---- DATA(-1, 2, 0) + ---- DATA(2, 1, 0) + ( + 2000 4000 4000 + + - 1/160 DATA(0, 2, -1) + 3/160 DATA(2, 0, -1) - 1/160 DATA(0, -1, 2) + + - 1/160 DATA(0, 2, 2) + 1/160 DATA(1, 0, 2) - 3/160 DATA(-1, 0, -1) + + + 3/160 DATA(2, -1, -1) + 1/160 DATA(0, 0, 0) - 1/160 DATA(1, 0, 0) + + + 1/160 DATA(0, 1, 0) - 1/160 DATA(1, 1, 0) + 1/160 DATA(0, 0, 1) + + - 1/160 DATA(1, 0, 1) + 1/160 DATA(0, 1, 1) - 1/160 DATA(1, 1, 1) + + + 3/160 DATA(2, 2, -1) + 1/160 DATA(1, 2, -1) - 3/160 DATA(-1, 2, -1) + + + 3/160 DATA(2, 1, -1) - 3/160 DATA(2, 0, 0) - 3/160 DATA(2, -1, 0) + + - 1/160 DATA(1, 2, 0) + 1/160 DATA(0, 2, 0) + 3/160 DATA(-1, 2, 0) + + - 3/160 DATA(2, 1, 0) - 3/160 DATA(2, 2, 0) - 3/160 DATA(2, -1, 1) + + - 3/160 DATA(2, 0, 1) + 3/160 DATA(-1, 2, 1) - 3/160 DATA(2, 1, 1) + + - 1/160 DATA(1, 2, 1) + 1/160 DATA(0, 2, 1) - 3/160 DATA(-1, -1, 2) + + - 3/160 DATA(2, 2, 1) + 1/160 DATA(1, -1, 2) + 3/160 DATA(2, 0, 2) + + - 1/160 DATA(0, 0, 2) - 3/160 DATA(-1, 0, 2) + 3/160 DATA(2, -1, 2) + + + 1/160 DATA(1, 1, 2) - 1/160 DATA(0, 1, 2) - 3/160 DATA(-1, 1, 2) + + - 3/160 DATA(-1, 2, 2) + 3/160 DATA(2, 1, 2) + 1/160 DATA(1, 2, 2) + + + 1/160 DATA(0, -1, 0) - 1/160 DATA(1, -1, 0) + 3/160 DATA(-1, 0, 0) + + + 3/160 DATA(-1, 1, 0) + 3/160 DATA(-1, -1, 1) + 1/160 DATA(0, -1, 1) + + - 1/160 DATA(1, -1, 1) + 3/160 DATA(-1, 0, 1) + 3/160 DATA(-1, 1, 1) + + - 1/160 DATA(0, 0, -1) + 1/160 DATA(1, 0, -1) - 3/160 DATA(-1, 1, -1) + + - 1/160 DATA(0, 1, -1) + 1/160 DATA(1, 1, -1) + 3/160 DATA(-1, -1, 0) + + - 3/160 DATA(-1, -1, -1) - 1/160 DATA(0, -1, -1) + 1/160 DATA(1, -1, -1) + + 2 + + 3/160 DATA(2, 2, 2)) x z + (3/160 DATA(0, 2, -1) - 3/160 DATA(2, 0, -1) + + - 3/160 DATA(0, -1, 2) - 3/160 DATA(0, 2, 2) - 3/160 DATA(1, 0, 2) + + - 3/160 DATA(-1, 0, -1) - 3/160 DATA(2, -1, -1) + 1/160 DATA(0, 0, 0) + + + 1/160 DATA(1, 0, 0) + 1/160 DATA(0, 1, 0) + 1/160 DATA(1, 1, 0) + + - 1/160 DATA(0, 0, 1) - 1/160 DATA(1, 0, 1) - 1/160 DATA(0, 1, 1) + + - 1/160 DATA(1, 1, 1) - 3/160 DATA(2, 2, -1) + 3/160 DATA(1, 2, -1) + + - 3/160 DATA(-1, 2, -1) - 3/160 DATA(2, 1, -1) - 1/160 DATA(2, 0, 0) + + - 1/160 DATA(2, -1, 0) + 1/160 DATA(1, 2, 0) + 1/160 DATA(0, 2, 0) + + - 1/160 DATA(-1, 2, 0) - 1/160 DATA(2, 1, 0) - 1/160 DATA(2, 2, 0) + + + 1/160 DATA(2, -1, 1) + 1/160 DATA(2, 0, 1) + 1/160 DATA(-1, 2, 1) + + + 1/160 DATA(2, 1, 1) - 1/160 DATA(1, 2, 1) - 1/160 DATA(0, 2, 1) + + + 3/160 DATA(-1, -1, 2) + 1/160 DATA(2, 2, 1) - 3/160 DATA(1, -1, 2) + + + 3/160 DATA(2, 0, 2) - 3/160 DATA(0, 0, 2) + 3/160 DATA(-1, 0, 2) + + + 3/160 DATA(2, -1, 2) - 3/160 DATA(1, 1, 2) - 3/160 DATA(0, 1, 2) + + + 3/160 DATA(-1, 1, 2) + 3/160 DATA(-1, 2, 2) + 3/160 DATA(2, 1, 2) + + - 3/160 DATA(1, 2, 2) + 1/160 DATA(0, -1, 0) + 1/160 DATA(1, -1, 0) + + - 1/160 DATA(-1, 0, 0) - 1/160 DATA(-1, 1, 0) + 1/160 DATA(-1, -1, 1) + + - 1/160 DATA(0, -1, 1) - 1/160 DATA(1, -1, 1) + 1/160 DATA(-1, 0, 1) + + + 1/160 DATA(-1, 1, 1) + 3/160 DATA(0, 0, -1) + 3/160 DATA(1, 0, -1) + + - 3/160 DATA(-1, 1, -1) + 3/160 DATA(0, 1, -1) + 3/160 DATA(1, 1, -1) + + - 1/160 DATA(-1, -1, 0) - 3/160 DATA(-1, -1, -1) + 3/160 DATA(0, -1, -1) + + 2 + + 3/160 DATA(1, -1, -1) + 3/160 DATA(2, 2, 2)) x z + 7/250 DATA(2, 2, 0) + + 59 / 13 13 + - ---- DATA(2, -1, 1) + |---- DATA(0, 2, -1) + ---- DATA(2, 0, -1) + 2000 \1000 1000 + + 19 11 + - ---- DATA(0, -1, 2) + --- DATA(0, 2, 2) - 1/1000 DATA(1, 0, 2) + 2000 500 + + 19 + - 1/2000 DATA(-1, 0, -1) - 9/250 DATA(2, -1, -1) - ---- DATA(0, 0, 0) + 2000 + + 31 + - 3/1000 DATA(1, 0, 0) - 3/1000 DATA(0, 1, 0) + ---- DATA(1, 1, 0) + 2000 + + 21 + - ---- DATA(0, 0, 1) - 1/500 DATA(1, 0, 1) - 1/500 DATA(0, 1, 1) + 2000 + + 29 49 + + ---- DATA(1, 1, 1) - 3/2000 DATA(2, 2, -1) + ---- DATA(1, 2, -1) + 2000 2000 + + 49 + - 9/250 DATA(-1, 2, -1) + ---- DATA(2, 1, -1) + 2/125 DATA(2, 0, 0) + 2000 + + 27 43 + - ---- DATA(2, -1, 0) + ---- DATA(1, 2, 0) + 2/125 DATA(0, 2, 0) + 1000 2000 + + 27 43 21 + - ---- DATA(-1, 2, 0) + ---- DATA(2, 1, 0) - ---- DATA(2, 2, 0) + 1000 2000 2000 + + 19 + - 9/500 DATA(2, -1, 1) + ---- DATA(2, 0, 1) - 9/500 DATA(-1, 2, 1) + 1000 + + 37 37 19 + + ---- DATA(2, 1, 1) + ---- DATA(1, 2, 1) + ---- DATA(0, 2, 1) + 2000 2000 1000 + + 93 39 + + ---- DATA(-1, -1, 2) - ---- DATA(2, 2, 1) - 7/250 DATA(1, -1, 2) + 2000 2000 + + 11 23 19 + + --- DATA(2, 0, 2) - ---- DATA(0, 0, 2) - ---- DATA(-1, 0, 2) + 500 2000 2000 + + 27 + - 9/1000 DATA(2, -1, 2) + ---- DATA(1, 1, 2) - 1/1000 DATA(0, 1, 2) + 2000 + + 31 + - 7/250 DATA(-1, 1, 2) - 9/1000 DATA(-1, 2, 2) + ---- DATA(2, 1, 2) + 2000 + + 31 17 + + ---- DATA(1, 2, 2) - 7/2000 DATA(0, -1, 0) - --- DATA(1, -1, 0) + 2000 500 + + 17 111 + - 7/2000 DATA(-1, 0, 0) - --- DATA(-1, 1, 0) + ---- DATA(-1, -1, 1) + 500 2000 + + 13 31 13 + - ---- DATA(0, -1, 1) - ---- DATA(1, -1, 1) - ---- DATA(-1, 0, 1) + 2000 1000 2000 + + 31 17 + - ---- DATA(-1, 1, 1) - ---- DATA(0, 0, -1) - 1/250 DATA(1, 0, -1) + 1000 2000 + + 37 33 + - ---- DATA(-1, 1, -1) - 1/250 DATA(0, 1, -1) + ---- DATA(1, 1, -1) + 1000 2000 + + 129 147 + + ---- DATA(-1, -1, 0) + ---- DATA(-1, -1, -1) - 1/2000 DATA(0, -1, -1) + 2000 2000 + + 37 57 \ + - ---- DATA(1, -1, -1) - ---- DATA(2, 2, 2)| x y + (- 1/160 DATA(0, 2, -1) + 1000 2000 / + + - 3/160 DATA(2, 0, -1) - 1/160 DATA(0, -1, 2) - 1/160 DATA(0, 2, 2) + + - 1/160 DATA(1, 0, 2) + 3/160 DATA(-1, 0, -1) + 3/160 DATA(2, -1, -1) + + + 1/160 DATA(0, 0, 0) - 1/160 DATA(1, 0, 0) + 1/160 DATA(0, 1, 0) + + - 1/160 DATA(1, 1, 0) + 1/160 DATA(0, 0, 1) - 1/160 DATA(1, 0, 1) + + + 1/160 DATA(0, 1, 1) - 1/160 DATA(1, 1, 1) + 3/160 DATA(2, 2, -1) + + + 1/160 DATA(1, 2, -1) - 3/160 DATA(-1, 2, -1) - 3/160 DATA(2, 1, -1) + + - 3/160 DATA(2, 0, 0) + 3/160 DATA(2, -1, 0) + 1/160 DATA(1, 2, 0) + + - 1/160 DATA(0, 2, 0) - 3/160 DATA(-1, 2, 0) - 3/160 DATA(2, 1, 0) + + + 3/160 DATA(2, 2, 0) + 3/160 DATA(2, -1, 1) - 3/160 DATA(2, 0, 1) + + - 3/160 DATA(-1, 2, 1) - 3/160 DATA(2, 1, 1) + 1/160 DATA(1, 2, 1) + + - 1/160 DATA(0, 2, 1) - 3/160 DATA(-1, -1, 2) + 3/160 DATA(2, 2, 1) + + + 1/160 DATA(1, -1, 2) - 3/160 DATA(2, 0, 2) + 1/160 DATA(0, 0, 2) + + + 3/160 DATA(-1, 0, 2) + 3/160 DATA(2, -1, 2) - 1/160 DATA(1, 1, 2) + + + 1/160 DATA(0, 1, 2) + 3/160 DATA(-1, 1, 2) - 3/160 DATA(-1, 2, 2) + + - 3/160 DATA(2, 1, 2) + 1/160 DATA(1, 2, 2) - 1/160 DATA(0, -1, 0) + + + 1/160 DATA(1, -1, 0) + 3/160 DATA(-1, 0, 0) + 3/160 DATA(-1, 1, 0) + + - 3/160 DATA(-1, -1, 1) - 1/160 DATA(0, -1, 1) + 1/160 DATA(1, -1, 1) + + + 3/160 DATA(-1, 0, 1) + 3/160 DATA(-1, 1, 1) + 1/160 DATA(0, 0, -1) + + - 1/160 DATA(1, 0, -1) + 3/160 DATA(-1, 1, -1) + 1/160 DATA(0, 1, -1) + + - 1/160 DATA(1, 1, -1) - 3/160 DATA(-1, -1, 0) - 3/160 DATA(-1, -1, -1) + + - 1/160 DATA(0, -1, -1) + 1/160 DATA(1, -1, -1) + 3/160 DATA(2, 2, 2)) x + + 2 / 19 27 13 + y + |- ---- DATA(0, 2, -1) - ---- DATA(2, 0, -1) + ---- DATA(0, -1, 2) + \ 2000 1000 1000 + + 11 43 129 + + --- DATA(0, 2, 2) + ---- DATA(1, 0, 2) + ---- DATA(-1, 0, -1) + 500 2000 2000 + + 19 + - 9/250 DATA(2, -1, -1) - ---- DATA(0, 0, 0) - 3/1000 DATA(1, 0, 0) + 2000 + + 21 + - ---- DATA(0, 1, 0) - 1/500 DATA(1, 1, 0) - 3/1000 DATA(0, 0, 1) + 2000 + + 31 29 + + ---- DATA(1, 0, 1) - 1/500 DATA(0, 1, 1) + ---- DATA(1, 1, 1) + 2000 2000 + + 93 + - 9/1000 DATA(2, 2, -1) - 7/250 DATA(1, 2, -1) + ---- DATA(-1, 2, -1) + 2000 + + 13 + - 9/500 DATA(2, 1, -1) + 2/125 DATA(2, 0, 0) + ---- DATA(2, -1, 0) + 1000 + + 23 19 + - 1/1000 DATA(1, 2, 0) - ---- DATA(0, 2, 0) - ---- DATA(-1, 2, 0) + 2000 2000 + + 19 11 49 + + ---- DATA(2, 1, 0) + --- DATA(2, 2, 0) + ---- DATA(2, -1, 1) + 1000 500 2000 + + 43 37 + + ---- DATA(2, 0, 1) - 7/250 DATA(-1, 2, 1) + ---- DATA(2, 1, 1) + 2000 2000 + + 27 + + ---- DATA(1, 2, 1) - 1/1000 DATA(0, 2, 1) - 9/250 DATA(-1, -1, 2) + 2000 + + 31 49 21 + + ---- DATA(2, 2, 1) + ---- DATA(1, -1, 2) - ---- DATA(2, 0, 2) + 2000 2000 2000 + + 27 + + 2/125 DATA(0, 0, 2) - ---- DATA(-1, 0, 2) - 3/2000 DATA(2, -1, 2) + 1000 + + 37 19 + + ---- DATA(1, 1, 2) + ---- DATA(0, 1, 2) - 9/500 DATA(-1, 1, 2) + 2000 1000 + + 39 31 + - 9/1000 DATA(-1, 2, 2) - ---- DATA(2, 1, 2) + ---- DATA(1, 2, 2) + 2000 2000 + + 17 + - ---- DATA(0, -1, 0) - 1/250 DATA(1, -1, 0) - 7/2000 DATA(-1, 0, 0) + 2000 + + 13 37 + - ---- DATA(-1, 1, 0) - ---- DATA(-1, -1, 1) - 1/250 DATA(0, -1, 1) + 2000 1000 + + 33 17 31 + + ---- DATA(1, -1, 1) - --- DATA(-1, 0, 1) - ---- DATA(-1, 1, 1) + 2000 500 1000 + + 17 111 + - 7/2000 DATA(0, 0, -1) - --- DATA(1, 0, -1) + ---- DATA(-1, 1, -1) + 500 2000 + + 13 31 + - ---- DATA(0, 1, -1) - ---- DATA(1, 1, -1) - 1/2000 DATA(-1, -1, 0) + 2000 1000 + + 147 37 + + ---- DATA(-1, -1, -1) - 1/2000 DATA(0, -1, -1) - ---- DATA(1, -1, -1) + 2000 1000 + + 57 \ / 27 19 + - ---- DATA(2, 2, 2)| x z + |- ---- DATA(0, 2, -1) - ---- DATA(2, 0, -1) + 2000 / \ 1000 2000 + + 27 21 19 + - ---- DATA(0, -1, 2) - ---- DATA(0, 2, 2) + ---- DATA(1, 0, 2) + 1000 2000 1000 + + 93 19 + - 1/2000 DATA(-1, 0, -1) + ---- DATA(2, -1, -1) - ---- DATA(0, 0, 0) + 2000 2000 + + 21 + - ---- DATA(1, 0, 0) - 3/1000 DATA(0, 1, 0) - 1/500 DATA(1, 1, 0) + 2000 + + 31 + - 3/1000 DATA(0, 0, 1) - 1/500 DATA(1, 0, 1) + ---- DATA(0, 1, 1) + 2000 + + 29 + + ---- DATA(1, 1, 1) - 9/1000 DATA(2, 2, -1) - 9/500 DATA(1, 2, -1) + 2000 + + 23 + - 9/250 DATA(-1, 2, -1) - 7/250 DATA(2, 1, -1) - ---- DATA(2, 0, 0) + 2000 + + 19 19 + - ---- DATA(2, -1, 0) + ---- DATA(1, 2, 0) + 2/125 DATA(0, 2, 0) + 2000 1000 + + 13 11 + + ---- DATA(-1, 2, 0) - 1/1000 DATA(2, 1, 0) + --- DATA(2, 2, 0) + 1000 500 + + 49 + - 7/250 DATA(2, -1, 1) - 1/1000 DATA(2, 0, 1) + ---- DATA(-1, 2, 1) + 2000 + + 27 37 43 + + ---- DATA(2, 1, 1) + ---- DATA(1, 2, 1) + ---- DATA(0, 2, 1) + 2000 2000 2000 + + 31 + - 9/250 DATA(-1, -1, 2) + ---- DATA(2, 2, 1) - 9/500 DATA(1, -1, 2) + 2000 + + 11 13 + + --- DATA(2, 0, 2) + 2/125 DATA(0, 0, 2) + ---- DATA(-1, 0, 2) + 500 1000 + + 37 43 + - 9/1000 DATA(2, -1, 2) + ---- DATA(1, 1, 2) + ---- DATA(0, 1, 2) + 2000 2000 + + 49 31 + + ---- DATA(-1, 1, 2) - 3/2000 DATA(-1, 2, 2) + ---- DATA(2, 1, 2) + 2000 2000 + + 39 13 + - ---- DATA(1, 2, 2) - 7/2000 DATA(0, -1, 0) - ---- DATA(1, -1, 0) + 2000 2000 + + 17 37 + - ---- DATA(-1, 0, 0) - 1/250 DATA(-1, 1, 0) - ---- DATA(-1, -1, 1) + 2000 1000 + + 17 31 + - --- DATA(0, -1, 1) - ---- DATA(1, -1, 1) - 1/250 DATA(-1, 0, 1) + 500 1000 + + 33 13 + + ---- DATA(-1, 1, 1) - 7/2000 DATA(0, 0, -1) - ---- DATA(1, 0, -1) + 2000 2000 + + 37 17 31 + - ---- DATA(-1, 1, -1) - --- DATA(0, 1, -1) - ---- DATA(1, 1, -1) + 1000 500 1000 + + 147 129 + - 1/2000 DATA(-1, -1, 0) + ---- DATA(-1, -1, -1) + ---- DATA(0, -1, -1) + 2000 2000 + + 111 57 \ + + ---- DATA(1, -1, -1) - ---- DATA(2, 2, 2)| y z + (- 3/160 DATA(0, 2, -1) + 2000 2000 / + + + 3/160 DATA(2, 0, -1) + 3/160 DATA(0, -1, 2) + 3/160 DATA(0, 2, 2) + + - 3/160 DATA(1, 0, 2) + 3/160 DATA(-1, 0, -1) - 3/160 DATA(2, -1, -1) + + + 1/160 DATA(0, 0, 0) + 1/160 DATA(1, 0, 0) + 1/160 DATA(0, 1, 0) + + + 1/160 DATA(1, 1, 0) - 1/160 DATA(0, 0, 1) - 1/160 DATA(1, 0, 1) + + - 1/160 DATA(0, 1, 1) - 1/160 DATA(1, 1, 1) - 3/160 DATA(2, 2, -1) + + - 3/160 DATA(1, 2, -1) - 3/160 DATA(-1, 2, -1) + 3/160 DATA(2, 1, -1) + + + 1/160 DATA(2, 0, 0) - 1/160 DATA(2, -1, 0) - 1/160 DATA(1, 2, 0) + + - 1/160 DATA(0, 2, 0) - 1/160 DATA(-1, 2, 0) + 1/160 DATA(2, 1, 0) + + - 1/160 DATA(2, 2, 0) + 1/160 DATA(2, -1, 1) - 1/160 DATA(2, 0, 1) + + + 1/160 DATA(-1, 2, 1) - 1/160 DATA(2, 1, 1) + 1/160 DATA(1, 2, 1) + + + 1/160 DATA(0, 2, 1) + 3/160 DATA(-1, -1, 2) + 1/160 DATA(2, 2, 1) + + + 3/160 DATA(1, -1, 2) - 3/160 DATA(2, 0, 2) - 3/160 DATA(0, 0, 2) + + - 3/160 DATA(-1, 0, 2) + 3/160 DATA(2, -1, 2) - 3/160 DATA(1, 1, 2) + + - 3/160 DATA(0, 1, 2) - 3/160 DATA(-1, 1, 2) + 3/160 DATA(-1, 2, 2) + + - 3/160 DATA(2, 1, 2) + 3/160 DATA(1, 2, 2) - 1/160 DATA(0, -1, 0) + + - 1/160 DATA(1, -1, 0) + 1/160 DATA(-1, 0, 0) + 1/160 DATA(-1, 1, 0) + + + 1/160 DATA(-1, -1, 1) + 1/160 DATA(0, -1, 1) + 1/160 DATA(1, -1, 1) + + - 1/160 DATA(-1, 0, 1) - 1/160 DATA(-1, 1, 1) + 3/160 DATA(0, 0, -1) + + + 3/160 DATA(1, 0, -1) + 3/160 DATA(-1, 1, -1) + 3/160 DATA(0, 1, -1) + + + 3/160 DATA(1, 1, -1) - 1/160 DATA(-1, -1, 0) - 3/160 DATA(-1, -1, -1) + + 2 + - 3/160 DATA(0, -1, -1) - 3/160 DATA(1, -1, -1) + 3/160 DATA(2, 2, 2)) y + + 49 + z + ---- DATA(2, 0, 1) + (- 3/160 DATA(0, 2, -1) - 1/160 DATA(2, 0, -1) + 4000 + + + 3/160 DATA(0, -1, 2) - 3/160 DATA(0, 2, 2) + 1/160 DATA(1, 0, 2) + + - 1/160 DATA(-1, 0, -1) - 3/160 DATA(2, -1, -1) + 1/160 DATA(0, 0, 0) + + + 1/160 DATA(1, 0, 0) - 1/160 DATA(0, 1, 0) - 1/160 DATA(1, 1, 0) + + + 1/160 DATA(0, 0, 1) + 1/160 DATA(1, 0, 1) - 1/160 DATA(0, 1, 1) + + - 1/160 DATA(1, 1, 1) + 3/160 DATA(2, 2, -1) - 3/160 DATA(1, 2, -1) + + + 3/160 DATA(-1, 2, -1) + 1/160 DATA(2, 1, -1) - 1/160 DATA(2, 0, 0) + + - 3/160 DATA(2, -1, 0) - 3/160 DATA(1, 2, 0) - 3/160 DATA(0, 2, 0) + + + 3/160 DATA(-1, 2, 0) + 1/160 DATA(2, 1, 0) + 3/160 DATA(2, 2, 0) + + - 3/160 DATA(2, -1, 1) - 1/160 DATA(2, 0, 1) + 3/160 DATA(-1, 2, 1) + + + 1/160 DATA(2, 1, 1) - 3/160 DATA(1, 2, 1) - 3/160 DATA(0, 2, 1) + + - 3/160 DATA(-1, -1, 2) + 3/160 DATA(2, 2, 1) + 3/160 DATA(1, -1, 2) + + - 1/160 DATA(2, 0, 2) + 1/160 DATA(0, 0, 2) - 1/160 DATA(-1, 0, 2) + + - 3/160 DATA(2, -1, 2) - 1/160 DATA(1, 1, 2) - 1/160 DATA(0, 1, 2) + + + 1/160 DATA(-1, 1, 2) + 3/160 DATA(-1, 2, 2) + 1/160 DATA(2, 1, 2) + + - 3/160 DATA(1, 2, 2) + 3/160 DATA(0, -1, 0) + 3/160 DATA(1, -1, 0) + + - 1/160 DATA(-1, 0, 0) + 1/160 DATA(-1, 1, 0) - 3/160 DATA(-1, -1, 1) + + + 3/160 DATA(0, -1, 1) + 3/160 DATA(1, -1, 1) - 1/160 DATA(-1, 0, 1) + + + 1/160 DATA(-1, 1, 1) + 1/160 DATA(0, 0, -1) + 1/160 DATA(1, 0, -1) + + + 1/160 DATA(-1, 1, -1) - 1/160 DATA(0, 1, -1) - 1/160 DATA(1, 1, -1) + + - 3/160 DATA(-1, -1, 0) - 3/160 DATA(-1, -1, -1) + 3/160 DATA(0, -1, -1) + + 2 59 + + 3/160 DATA(1, -1, -1) + 3/160 DATA(2, 2, 2)) x y - ---- DATA(-1, 2, 1) + 2000 + + 23 23 49 + - --- DATA(2, 1, 1) - --- DATA(1, 2, 1) + ---- DATA(0, 2, 1) + 500 500 4000 + + 59 67 59 + - ---- DATA(-1, -1, 2) - ---- DATA(2, 2, 1) - ---- DATA(1, -1, 2) + 1000 4000 2000 + + 143 73 + + 7/250 DATA(2, 0, 2) + ---- DATA(0, 0, 2) + ---- DATA(-1, 0, 2) + 2000 4000 + + 59 23 49 + - ---- DATA(2, -1, 2) - --- DATA(1, 1, 2) + ---- DATA(0, 1, 2) + 4000 500 4000 + + 59 + - ---- DATA(-1, 1, 2) + (1/32 DATA(0, 2, -1) + 1/96 DATA(2, 0, -1) + 2000 + + + 1/32 DATA(0, -1, 2) + 1/32 DATA(0, 2, 2) - 1/32 DATA(1, 0, 2) + + - 1/96 DATA(-1, 0, -1) + 1/96 DATA(2, -1, -1) + 1/32 DATA(0, 0, 0) + + - 1/32 DATA(1, 0, 0) + 1/32 DATA(0, 1, 0) - 1/32 DATA(1, 1, 0) + + + 1/32 DATA(0, 0, 1) - 1/32 DATA(1, 0, 1) + 1/32 DATA(0, 1, 1) + + - 1/32 DATA(1, 1, 1) + 1/96 DATA(2, 2, -1) - 1/32 DATA(1, 2, -1) + + - 1/96 DATA(-1, 2, -1) + 1/96 DATA(2, 1, -1) + 1/96 DATA(2, 0, 0) + + + 1/96 DATA(2, -1, 0) - 1/32 DATA(1, 2, 0) + 1/32 DATA(0, 2, 0) + + - 1/96 DATA(-1, 2, 0) + 1/96 DATA(2, 1, 0) + 1/96 DATA(2, 2, 0) + + + 1/96 DATA(2, -1, 1) + 1/96 DATA(2, 0, 1) - 1/96 DATA(-1, 2, 1) + + + 1/96 DATA(2, 1, 1) - 1/32 DATA(1, 2, 1) + 1/32 DATA(0, 2, 1) + + - 1/96 DATA(-1, -1, 2) + 1/96 DATA(2, 2, 1) - 1/32 DATA(1, -1, 2) + + + 1/96 DATA(2, 0, 2) + 1/32 DATA(0, 0, 2) - 1/96 DATA(-1, 0, 2) + + + 1/96 DATA(2, -1, 2) - 1/32 DATA(1, 1, 2) + 1/32 DATA(0, 1, 2) + + - 1/96 DATA(-1, 1, 2) - 1/96 DATA(-1, 2, 2) + 1/96 DATA(2, 1, 2) + + - 1/32 DATA(1, 2, 2) + 1/32 DATA(0, -1, 0) - 1/32 DATA(1, -1, 0) + + - 1/96 DATA(-1, 0, 0) - 1/96 DATA(-1, 1, 0) - 1/96 DATA(-1, -1, 1) + + + 1/32 DATA(0, -1, 1) - 1/32 DATA(1, -1, 1) - 1/96 DATA(-1, 0, 1) + + - 1/96 DATA(-1, 1, 1) + 1/32 DATA(0, 0, -1) - 1/32 DATA(1, 0, -1) + + - 1/96 DATA(-1, 1, -1) + 1/32 DATA(0, 1, -1) - 1/32 DATA(1, 1, -1) + + - 1/96 DATA(-1, -1, 0) - 1/96 DATA(-1, -1, -1) + 1/32 DATA(0, -1, -1) + + 3 59 + - 1/32 DATA(1, -1, -1) + 1/96 DATA(2, 2, 2)) x - ---- DATA(-1, 2, 2) + 4000 + + 67 / + - ---- DATA(2, 1, 2) + |1/80 DATA(0, 2, -1) - 1/16 DATA(2, 0, -1) + 4000 \ + + + 1/40 DATA(0, -1, 2) - 1/160 DATA(0, 2, 2) - 1/20 DATA(1, 0, 2) + + 13 11 + - --- DATA(-1, 0, -1) + 1/32 DATA(2, -1, -1) - --- DATA(0, 0, 0) + 160 160 + + - 1/16 DATA(1, 0, 0) + 1/40 DATA(0, 1, 0) + 1/32 DATA(1, 1, 0) + + - 1/16 DATA(0, 0, 1) - 9/160 DATA(1, 0, 1) + 1/32 DATA(0, 1, 1) + + + 3/80 DATA(1, 1, 1) + 1/160 DATA(1, 2, -1) + 3/160 DATA(-1, 2, -1) + + + 1/32 DATA(2, 1, -1) - 9/160 DATA(2, 0, 0) + 1/40 DATA(2, -1, 0) + + + 1/160 DATA(0, 2, 0) + 1/80 DATA(-1, 2, 0) + 3/80 DATA(2, 1, 0) + + - 1/160 DATA(2, 2, 0) + 3/160 DATA(2, -1, 1) - 1/20 DATA(2, 0, 1) + + + 1/160 DATA(-1, 2, 1) + 7/160 DATA(2, 1, 1) - 1/160 DATA(1, 2, 1) + + + 1/32 DATA(-1, -1, 2) - 1/80 DATA(2, 2, 1) + 3/160 DATA(1, -1, 2) + + - 7/160 DATA(2, 0, 2) - 9/160 DATA(0, 0, 2) - 1/16 DATA(-1, 0, 2) + + + 1/80 DATA(2, -1, 2) + 7/160 DATA(1, 1, 2) + 3/80 DATA(0, 1, 2) + + + 1/32 DATA(-1, 1, 2) + 1/20 DATA(2, 1, 2) - 1/80 DATA(1, 2, 2) + + + 3/80 DATA(0, -1, 0) + 1/32 DATA(1, -1, 0) - 3/40 DATA(-1, 0, 0) + + + 3/160 DATA(-1, 1, 0) + 3/80 DATA(-1, -1, 1) + 1/32 DATA(0, -1, 1) + + 11 + + 1/40 DATA(1, -1, 1) - --- DATA(-1, 0, 1) + 1/40 DATA(-1, 1, 1) + 160 + + 11 + - 3/40 DATA(0, 0, -1) - --- DATA(1, 0, -1) + 1/80 DATA(-1, 1, -1) + 160 + + + 3/160 DATA(0, 1, -1) + 1/40 DATA(1, 1, -1) + 7/160 DATA(-1, -1, 0) + + + 1/20 DATA(-1, -1, -1) + 7/160 DATA(0, -1, -1) + 3/80 DATA(1, -1, -1) + + \ 2 67 469 + - 3/160 DATA(2, 2, 2)| y - ---- DATA(1, 2, 2) + ---- DATA(0, -1, 0) + / 4000 4000 + + 49 469 49 + + ---- DATA(1, -1, 0) + ---- DATA(-1, 0, 0) + ---- DATA(-1, 1, 0) + 1000 4000 1000 + + 97 49 61 + - ---- DATA(-1, -1, 1) + ---- DATA(0, -1, 1) - ---- DATA(1, -1, 1) + 4000 1000 4000 + + 49 61 469 + + ---- DATA(-1, 0, 1) - ---- DATA(-1, 1, 1) + ---- DATA(0, 0, -1) + 1000 4000 4000 + + 49 97 49 + + ---- DATA(1, 0, -1) - ---- DATA(-1, 1, -1) + ---- DATA(0, 1, -1) + 1000 4000 1000 + + 61 71 269 + - ---- DATA(1, 1, -1) + ---- DATA(-1, -1, 0) - ---- DATA(-1, -1, -1) + 4000 2000 4000 + + 71 97 77 / + + ---- DATA(0, -1, -1) - ---- DATA(1, -1, -1) + ---- DATA(2, 2, 2) + | + 2000 4000 2000 \ + + - 1/16 DATA(0, 2, -1) + 1/80 DATA(2, 0, -1) - 1/16 DATA(0, -1, 2) + + - 7/160 DATA(0, 2, 2) + 3/80 DATA(1, 0, 2) + 7/160 DATA(-1, 0, -1) + + 11 + + 3/160 DATA(2, -1, -1) - --- DATA(0, 0, 0) + 1/40 DATA(1, 0, 0) + 160 + + - 1/16 DATA(0, 1, 0) + 1/32 DATA(1, 1, 0) - 1/16 DATA(0, 0, 1) + + + 1/32 DATA(1, 0, 1) - 9/160 DATA(0, 1, 1) + 3/80 DATA(1, 1, 1) + + + 1/32 DATA(1, 2, -1) + 1/32 DATA(-1, 2, -1) + 1/160 DATA(2, 1, -1) + + + 1/160 DATA(2, 0, 0) + 1/80 DATA(2, -1, 0) + 3/80 DATA(1, 2, 0) + + - 9/160 DATA(0, 2, 0) + 1/40 DATA(-1, 2, 0) - 1/160 DATA(2, 2, 0) + + + 1/160 DATA(2, -1, 1) + 3/160 DATA(-1, 2, 1) - 1/160 DATA(2, 1, 1) + + + 7/160 DATA(1, 2, 1) - 1/20 DATA(0, 2, 1) + 1/32 DATA(-1, -1, 2) + + - 1/80 DATA(2, 2, 1) + 1/32 DATA(1, -1, 2) - 1/160 DATA(2, 0, 2) + + - 9/160 DATA(0, 0, 2) + 1/40 DATA(-1, 0, 2) + 7/160 DATA(1, 1, 2) + + - 1/20 DATA(0, 1, 2) + 3/160 DATA(-1, 1, 2) + 1/80 DATA(-1, 2, 2) + + - 1/80 DATA(2, 1, 2) + 1/20 DATA(1, 2, 2) - 3/40 DATA(0, -1, 0) + + + 3/160 DATA(1, -1, 0) + 3/80 DATA(-1, 0, 0) + 1/32 DATA(-1, 1, 0) + + 11 + + 3/80 DATA(-1, -1, 1) - --- DATA(0, -1, 1) + 1/40 DATA(1, -1, 1) + 160 + + + 1/32 DATA(-1, 0, 1) + 1/40 DATA(-1, 1, 1) - 3/40 DATA(0, 0, -1) + + 11 + + 3/160 DATA(1, 0, -1) + 3/80 DATA(-1, 1, -1) - --- DATA(0, 1, -1) + 160 + + + 1/40 DATA(1, 1, -1) + 7/160 DATA(-1, -1, 0) + 1/20 DATA(-1, -1, -1) + + 13 \ 2 / + - --- DATA(0, -1, -1) + 1/80 DATA(1, -1, -1) - 3/160 DATA(2, 2, 2)| x + | + 160 / \ + + 17 33 29 + - ---- DATA(0, 2, -1) - ---- DATA(2, 0, -1) - ---- DATA(0, -1, 2) + 3000 2000 6000 + + 167 79 39 + - ----- DATA(0, 2, 2) - ---- DATA(1, 0, 2) - ---- DATA(-1, 0, -1) + 12000 2000 4000 + + 281 161 87 + + ----- DATA(2, -1, -1) - ---- DATA(0, 0, 0) - ---- DATA(1, 0, 0) + 12000 4000 2000 + + 21 299 87 + + --- DATA(0, 1, 0) + ---- DATA(1, 1, 0) - ---- DATA(0, 0, 1) + 250 4000 2000 + + 191 299 133 + - ---- DATA(1, 0, 1) + ---- DATA(0, 1, 1) + ---- DATA(1, 1, 1) + 4000 4000 2000 + + 41 137 449 + - --- DATA(2, 2, -1) - ----- DATA(1, 2, -1) - ----- DATA(-1, 2, -1) + 750 12000 12000 + + 191 137 29 + + ---- DATA(2, 1, -1) - ---- DATA(2, 0, 0) - ---- DATA(2, -1, 0) + 4000 4000 6000 + + 79 349 17 + + ---- DATA(1, 2, 0) + ----- DATA(0, 2, 0) - ---- DATA(-1, 2, 0) + 3000 12000 3000 + + 53 167 53 + + ---- DATA(2, 1, 0) - ----- DATA(2, 2, 0) + ----- DATA(2, -1, 1) + 1000 12000 12000 + + 79 137 183 + - ---- DATA(2, 0, 1) - ----- DATA(-1, 2, 1) + ---- DATA(2, 1, 1) + 2000 12000 4000 + + 319 79 281 + + ----- DATA(1, 2, 1) + ---- DATA(0, 2, 1) + ----- DATA(-1, -1, 2) + 12000 3000 12000 + + 53 129 + - 4/375 DATA(2, 2, 1) + ----- DATA(1, -1, 2) - ---- DATA(2, 0, 2) + 12000 4000 + + 137 33 307 + - ---- DATA(0, 0, 2) - ---- DATA(-1, 0, 2) + ---- DATA(2, -1, 2) + 4000 2000 6000 + + 183 53 191 + + ---- DATA(1, 1, 2) + ---- DATA(0, 1, 2) + ---- DATA(-1, 1, 2) + 4000 1000 4000 + + 41 13 + - --- DATA(-1, 2, 2) + --- DATA(2, 1, 2) - 4/375 DATA(1, 2, 2) + 750 500 + + 437 691 49 + - ---- DATA(0, -1, 0) - ----- DATA(1, -1, 0) - ---- DATA(-1, 0, 0) + 6000 12000 2000 + + 323 97 691 + + ---- DATA(-1, 1, 0) - ---- DATA(-1, -1, 1) - ----- DATA(0, -1, 1) + 4000 3000 12000 + + 17 107 141 + - --- DATA(1, -1, 1) - ---- DATA(-1, 0, 1) + ---- DATA(-1, 1, 1) + 375 4000 2000 + + 49 107 157 + - ---- DATA(0, 0, -1) - ---- DATA(1, 0, -1) + ---- DATA(-1, 1, -1) + 2000 4000 2000 + + 323 141 607 + + ---- DATA(0, 1, -1) + ---- DATA(1, 1, -1) - ----- DATA(-1, -1, 0) + 4000 2000 12000 + + 47 607 97 + - ---- DATA(-1, -1, -1) - ----- DATA(0, -1, -1) - ---- DATA(1, -1, -1) + 1500 12000 3000 + + 539 \ / 33 17 + - ----- DATA(2, 2, 2)| y + |- ---- DATA(0, 2, -1) - ---- DATA(2, 0, -1) + 12000 / \ 2000 3000 + + 33 129 53 + - ---- DATA(0, -1, 2) - ---- DATA(0, 2, 2) + ---- DATA(1, 0, 2) + 2000 4000 1000 + + 607 449 161 + - ----- DATA(-1, 0, -1) - ----- DATA(2, -1, -1) - ---- DATA(0, 0, 0) + 12000 12000 4000 + + 21 87 299 + + --- DATA(1, 0, 0) - ---- DATA(0, 1, 0) + ---- DATA(1, 1, 0) + 250 2000 4000 + + 87 299 191 + - ---- DATA(0, 0, 1) + ---- DATA(1, 0, 1) - ---- DATA(0, 1, 1) + 2000 4000 4000 + + 133 41 191 + + ---- DATA(1, 1, 1) - --- DATA(2, 2, -1) + ---- DATA(1, 2, -1) + 2000 750 4000 + + 281 137 349 + + ----- DATA(-1, 2, -1) - ----- DATA(2, 1, -1) + ----- DATA(2, 0, 0) + 12000 12000 12000 + + 17 53 137 + - ---- DATA(2, -1, 0) + ---- DATA(1, 2, 0) - ---- DATA(0, 2, 0) + 3000 1000 4000 + + 29 79 167 + - ---- DATA(-1, 2, 0) + ---- DATA(2, 1, 0) - ----- DATA(2, 2, 0) + 6000 3000 12000 + + 137 79 53 + - ----- DATA(2, -1, 1) + ---- DATA(2, 0, 1) + ----- DATA(-1, 2, 1) + 12000 3000 12000 + + 319 183 79 + + ----- DATA(2, 1, 1) + ---- DATA(1, 2, 1) - ---- DATA(0, 2, 1) + 12000 4000 2000 + + 281 191 + + ----- DATA(-1, -1, 2) - 4/375 DATA(2, 2, 1) + ---- DATA(1, -1, 2) + 12000 4000 + + 167 137 29 + - ----- DATA(2, 0, 2) - ---- DATA(0, 0, 2) - ---- DATA(-1, 0, 2) + 12000 4000 6000 + + 41 183 79 + - --- DATA(2, -1, 2) + ---- DATA(1, 1, 2) - ---- DATA(0, 1, 2) + 750 4000 2000 + + 53 307 + + ----- DATA(-1, 1, 2) + ---- DATA(-1, 2, 2) - 4/375 DATA(2, 1, 2) + 12000 6000 + + 13 49 323 + + --- DATA(1, 2, 2) - ---- DATA(0, -1, 0) + ---- DATA(1, -1, 0) + 500 2000 4000 + + 437 691 97 + - ---- DATA(-1, 0, 0) - ----- DATA(-1, 1, 0) - ---- DATA(-1, -1, 1) + 6000 12000 3000 + + 107 141 691 + - ---- DATA(0, -1, 1) + ---- DATA(1, -1, 1) - ----- DATA(-1, 0, 1) + 4000 2000 12000 + + 17 49 323 + - --- DATA(-1, 1, 1) - ---- DATA(0, 0, -1) + ---- DATA(1, 0, -1) + 375 2000 4000 + + 97 107 141 + - ---- DATA(-1, 1, -1) - ---- DATA(0, 1, -1) + ---- DATA(1, 1, -1) + 3000 4000 2000 + + 607 47 39 + - ----- DATA(-1, -1, 0) - ---- DATA(-1, -1, -1) - ---- DATA(0, -1, -1) + 12000 1500 4000 + + 157 539 \ / + + ---- DATA(1, -1, -1) - ----- DATA(2, 2, 2)| x + |1/40 DATA(0, 2, -1) + 2000 12000 / \ + + + 1/40 DATA(2, 0, -1) + 1/80 DATA(0, -1, 2) - 1/160 DATA(0, 2, 2) + + 11 + + 7/160 DATA(-1, 0, -1) + 1/32 DATA(2, -1, -1) - --- DATA(0, 0, 0) + 160 + + - 1/16 DATA(1, 0, 0) - 1/16 DATA(0, 1, 0) - 9/160 DATA(1, 1, 0) + + + 1/40 DATA(0, 0, 1) + 1/32 DATA(1, 0, 1) + 1/32 DATA(0, 1, 1) + + + 3/80 DATA(1, 1, 1) + 1/80 DATA(2, 2, -1) + 3/160 DATA(1, 2, -1) + + + 1/32 DATA(-1, 2, -1) + 3/160 DATA(2, 1, -1) - 9/160 DATA(2, 0, 0) + + - 1/16 DATA(2, -1, 0) - 1/20 DATA(1, 2, 0) - 9/160 DATA(0, 2, 0) + + - 1/16 DATA(-1, 2, 0) - 1/20 DATA(2, 1, 0) - 7/160 DATA(2, 2, 0) + + + 1/32 DATA(2, -1, 1) + 3/80 DATA(2, 0, 1) + 1/32 DATA(-1, 2, 1) + + + 7/160 DATA(2, 1, 1) + 7/160 DATA(1, 2, 1) + 3/80 DATA(0, 2, 1) + + + 3/160 DATA(-1, -1, 2) + 1/20 DATA(2, 2, 1) + 1/160 DATA(1, -1, 2) + + - 1/160 DATA(2, 0, 2) + 1/160 DATA(0, 0, 2) + 1/80 DATA(-1, 0, 2) + + - 1/160 DATA(1, 1, 2) + 1/160 DATA(-1, 1, 2) - 1/80 DATA(2, 1, 2) + + 11 + - 1/80 DATA(1, 2, 2) - 3/40 DATA(0, -1, 0) - --- DATA(1, -1, 0) + 160 + + 11 + - 3/40 DATA(-1, 0, 0) - --- DATA(-1, 1, 0) + 1/80 DATA(-1, -1, 1) + 160 + + + 3/160 DATA(0, -1, 1) + 1/40 DATA(1, -1, 1) + 3/160 DATA(-1, 0, 1) + + + 1/40 DATA(-1, 1, 1) + 3/80 DATA(0, 0, -1) + 1/32 DATA(1, 0, -1) + + + 3/80 DATA(-1, 1, -1) + 1/32 DATA(0, 1, -1) + 1/40 DATA(1, 1, -1) + + 13 + - --- DATA(-1, -1, 0) + 1/20 DATA(-1, -1, -1) + 7/160 DATA(0, -1, -1) + 160 + + \ 2 + + 3/80 DATA(1, -1, -1) - 3/160 DATA(2, 2, 2)| z + (- 1/96 DATA(0, 2, -1) + / + + - 1/96 DATA(2, 0, -1) + 1/96 DATA(0, -1, 2) + 1/96 DATA(0, 2, 2) + + + 1/96 DATA(1, 0, 2) - 1/96 DATA(-1, 0, -1) - 1/96 DATA(2, -1, -1) + + + 1/32 DATA(0, 0, 0) + 1/32 DATA(1, 0, 0) + 1/32 DATA(0, 1, 0) + + + 1/32 DATA(1, 1, 0) - 1/32 DATA(0, 0, 1) - 1/32 DATA(1, 0, 1) + + - 1/32 DATA(0, 1, 1) - 1/32 DATA(1, 1, 1) - 1/96 DATA(2, 2, -1) + + - 1/96 DATA(1, 2, -1) - 1/96 DATA(-1, 2, -1) - 1/96 DATA(2, 1, -1) + + + 1/32 DATA(2, 0, 0) + 1/32 DATA(2, -1, 0) + 1/32 DATA(1, 2, 0) + + + 1/32 DATA(0, 2, 0) + 1/32 DATA(-1, 2, 0) + 1/32 DATA(2, 1, 0) + + + 1/32 DATA(2, 2, 0) - 1/32 DATA(2, -1, 1) - 1/32 DATA(2, 0, 1) + + - 1/32 DATA(-1, 2, 1) - 1/32 DATA(2, 1, 1) - 1/32 DATA(1, 2, 1) + + - 1/32 DATA(0, 2, 1) + 1/96 DATA(-1, -1, 2) - 1/32 DATA(2, 2, 1) + + + 1/96 DATA(1, -1, 2) + 1/96 DATA(2, 0, 2) + 1/96 DATA(0, 0, 2) + + + 1/96 DATA(-1, 0, 2) + 1/96 DATA(2, -1, 2) + 1/96 DATA(1, 1, 2) + + + 1/96 DATA(0, 1, 2) + 1/96 DATA(-1, 1, 2) + 1/96 DATA(-1, 2, 2) + + + 1/96 DATA(2, 1, 2) + 1/96 DATA(1, 2, 2) + 1/32 DATA(0, -1, 0) + + + 1/32 DATA(1, -1, 0) + 1/32 DATA(-1, 0, 0) + 1/32 DATA(-1, 1, 0) + + - 1/32 DATA(-1, -1, 1) - 1/32 DATA(0, -1, 1) - 1/32 DATA(1, -1, 1) + + - 1/32 DATA(-1, 0, 1) - 1/32 DATA(-1, 1, 1) - 1/96 DATA(0, 0, -1) + + - 1/96 DATA(1, 0, -1) - 1/96 DATA(-1, 1, -1) - 1/96 DATA(0, 1, -1) + + - 1/96 DATA(1, 1, -1) + 1/32 DATA(-1, -1, 0) - 1/96 DATA(-1, -1, -1) + + 3 + - 1/96 DATA(0, -1, -1) - 1/96 DATA(1, -1, -1) + 1/96 DATA(2, 2, 2)) z + ( + + 1/96 DATA(0, 2, -1) + 1/32 DATA(2, 0, -1) - 1/96 DATA(0, -1, 2) + + + 1/96 DATA(0, 2, 2) + 1/32 DATA(1, 0, 2) + 1/32 DATA(-1, 0, -1) + + - 1/96 DATA(2, -1, -1) + 1/32 DATA(0, 0, 0) + 1/32 DATA(1, 0, 0) + + - 1/32 DATA(0, 1, 0) - 1/32 DATA(1, 1, 0) + 1/32 DATA(0, 0, 1) + + + 1/32 DATA(1, 0, 1) - 1/32 DATA(0, 1, 1) - 1/32 DATA(1, 1, 1) + + + 1/96 DATA(2, 2, -1) + 1/96 DATA(1, 2, -1) + 1/96 DATA(-1, 2, -1) + + - 1/32 DATA(2, 1, -1) + 1/32 DATA(2, 0, 0) - 1/96 DATA(2, -1, 0) + + + 1/96 DATA(1, 2, 0) + 1/96 DATA(0, 2, 0) + 1/96 DATA(-1, 2, 0) + + - 1/32 DATA(2, 1, 0) + 1/96 DATA(2, 2, 0) - 1/96 DATA(2, -1, 1) + + + 1/32 DATA(2, 0, 1) + 1/96 DATA(-1, 2, 1) - 1/32 DATA(2, 1, 1) + + + 1/96 DATA(1, 2, 1) + 1/96 DATA(0, 2, 1) - 1/96 DATA(-1, -1, 2) + + + 1/96 DATA(2, 2, 1) - 1/96 DATA(1, -1, 2) + 1/32 DATA(2, 0, 2) + + + 1/32 DATA(0, 0, 2) + 1/32 DATA(-1, 0, 2) - 1/96 DATA(2, -1, 2) + + - 1/32 DATA(1, 1, 2) - 1/32 DATA(0, 1, 2) - 1/32 DATA(-1, 1, 2) + + + 1/96 DATA(-1, 2, 2) - 1/32 DATA(2, 1, 2) + 1/96 DATA(1, 2, 2) + + - 1/96 DATA(0, -1, 0) - 1/96 DATA(1, -1, 0) + 1/32 DATA(-1, 0, 0) + + - 1/32 DATA(-1, 1, 0) - 1/96 DATA(-1, -1, 1) - 1/96 DATA(0, -1, 1) + + - 1/96 DATA(1, -1, 1) + 1/32 DATA(-1, 0, 1) - 1/32 DATA(-1, 1, 1) + + + 1/32 DATA(0, 0, -1) + 1/32 DATA(1, 0, -1) - 1/32 DATA(-1, 1, -1) + + - 1/32 DATA(0, 1, -1) - 1/32 DATA(1, 1, -1) - 1/96 DATA(-1, -1, 0) + + - 1/96 DATA(-1, -1, -1) - 1/96 DATA(0, -1, -1) - 1/96 DATA(1, -1, -1) + + 3 / 29 29 + + 1/96 DATA(2, 2, 2)) y + |- ---- DATA(0, 2, -1) - ---- DATA(2, 0, -1) + \ 6000 6000 + + 17 167 79 + - ---- DATA(0, -1, 2) - ----- DATA(0, 2, 2) + ---- DATA(1, 0, 2) + 3000 12000 3000 + + 607 281 161 + - ----- DATA(-1, 0, -1) + ----- DATA(2, -1, -1) - ---- DATA(0, 0, 0) + 12000 12000 4000 + + 87 87 191 + - ---- DATA(1, 0, 0) - ---- DATA(0, 1, 0) - ---- DATA(1, 1, 0) + 2000 2000 4000 + + 21 299 299 + + --- DATA(0, 0, 1) + ---- DATA(1, 0, 1) + ---- DATA(0, 1, 1) + 250 4000 4000 + + 133 307 53 + + ---- DATA(1, 1, 1) + ---- DATA(2, 2, -1) + ----- DATA(1, 2, -1) + 2000 6000 12000 + + 281 53 137 + + ----- DATA(-1, 2, -1) + ----- DATA(2, 1, -1) - ---- DATA(2, 0, 0) + 12000 12000 4000 + + 33 79 137 + - ---- DATA(2, -1, 0) - ---- DATA(1, 2, 0) - ---- DATA(0, 2, 0) + 2000 2000 4000 + + 33 79 129 + - ---- DATA(-1, 2, 0) - ---- DATA(2, 1, 0) - ---- DATA(2, 2, 0) + 2000 2000 4000 + + 191 53 191 + + ---- DATA(2, -1, 1) + ---- DATA(2, 0, 1) + ---- DATA(-1, 2, 1) + 4000 1000 4000 + + 183 183 53 + + ---- DATA(2, 1, 1) + ---- DATA(1, 2, 1) + ---- DATA(0, 2, 1) + 4000 4000 1000 + + 449 13 137 + - ----- DATA(-1, -1, 2) + --- DATA(2, 2, 1) - ----- DATA(1, -1, 2) + 12000 500 12000 + + 167 349 17 + - ----- DATA(2, 0, 2) + ----- DATA(0, 0, 2) - ---- DATA(-1, 0, 2) + 12000 12000 3000 + + 41 319 79 + - --- DATA(2, -1, 2) + ----- DATA(1, 1, 2) + ---- DATA(0, 1, 2) + 750 12000 3000 + + 137 41 + - ----- DATA(-1, 1, 2) - --- DATA(-1, 2, 2) - 4/375 DATA(2, 1, 2) + 12000 750 + + 49 107 + - 4/375 DATA(1, 2, 2) - ---- DATA(0, -1, 0) - ---- DATA(1, -1, 0) + 2000 4000 + + 49 107 157 + - ---- DATA(-1, 0, 0) - ---- DATA(-1, 1, 0) + ---- DATA(-1, -1, 1) + 2000 4000 2000 + + 323 141 323 + + ---- DATA(0, -1, 1) + ---- DATA(1, -1, 1) + ---- DATA(-1, 0, 1) + 4000 2000 4000 + + 141 437 691 + + ---- DATA(-1, 1, 1) - ---- DATA(0, 0, -1) - ----- DATA(1, 0, -1) + 2000 6000 12000 + + 97 691 17 + - ---- DATA(-1, 1, -1) - ----- DATA(0, 1, -1) - --- DATA(1, 1, -1) + 3000 12000 375 + + 39 47 607 + - ---- DATA(-1, -1, 0) - ---- DATA(-1, -1, -1) - ----- DATA(0, -1, -1) + 4000 1500 12000 + + 97 539 \ / + - ---- DATA(1, -1, -1) - ----- DATA(2, 2, 2)| z + |9/1000 DATA(0, 2, -1) + 3000 12000 / \ + + + 9/1000 DATA(2, 0, -1) + 9/1000 DATA(0, -1, 2) - 9/1000 DATA(0, 2, 2) + + 27 + - 3/1000 DATA(1, 0, 2) - 9/1000 DATA(-1, 0, -1) + ---- DATA(2, -1, -1) + 1000 + + - 1/1000 DATA(0, 0, 0) + 1/1000 DATA(1, 0, 0) + 1/1000 DATA(0, 1, 0) + + - 1/1000 DATA(1, 1, 0) + 1/1000 DATA(0, 0, 1) - 1/1000 DATA(1, 0, 1) + + 27 + - 1/1000 DATA(0, 1, 1) + 1/1000 DATA(1, 1, 1) - ---- DATA(2, 2, -1) + 1000 + + 27 + - 9/1000 DATA(1, 2, -1) + ---- DATA(-1, 2, -1) - 9/1000 DATA(2, 1, -1) + 1000 + + + 3/1000 DATA(2, 0, 0) + 9/1000 DATA(2, -1, 0) - 3/1000 DATA(1, 2, 0) + + + 3/1000 DATA(0, 2, 0) + 9/1000 DATA(-1, 2, 0) - 3/1000 DATA(2, 1, 0) + + - 9/1000 DATA(2, 2, 0) - 9/1000 DATA(2, -1, 1) - 3/1000 DATA(2, 0, 1) + + - 9/1000 DATA(-1, 2, 1) + 3/1000 DATA(2, 1, 1) + 3/1000 DATA(1, 2, 1) + + 27 + - 3/1000 DATA(0, 2, 1) + ---- DATA(-1, -1, 2) + 9/1000 DATA(2, 2, 1) + 1000 + + - 9/1000 DATA(1, -1, 2) - 9/1000 DATA(2, 0, 2) + 3/1000 DATA(0, 0, 2) + + 27 + + 9/1000 DATA(-1, 0, 2) - ---- DATA(2, -1, 2) + 3/1000 DATA(1, 1, 2) + 1000 + + 27 + - 3/1000 DATA(0, 1, 2) - 9/1000 DATA(-1, 1, 2) - ---- DATA(-1, 2, 2) + 1000 + + + 9/1000 DATA(2, 1, 2) + 9/1000 DATA(1, 2, 2) - 3/1000 DATA(0, -1, 0) + + + 3/1000 DATA(1, -1, 0) - 3/1000 DATA(-1, 0, 0) + 3/1000 DATA(-1, 1, 0) + + + 9/1000 DATA(-1, -1, 1) + 3/1000 DATA(0, -1, 1) - 3/1000 DATA(1, -1, 1) + + + 3/1000 DATA(-1, 0, 1) - 3/1000 DATA(-1, 1, 1) - 3/1000 DATA(0, 0, -1) + + + 3/1000 DATA(1, 0, -1) + 9/1000 DATA(-1, 1, -1) + 3/1000 DATA(0, 1, -1) + + 27 + - 3/1000 DATA(1, 1, -1) - 9/1000 DATA(-1, -1, 0) - ---- DATA(-1, -1, -1) + 1000 + + 27 \ + - 9/1000 DATA(0, -1, -1) + 9/1000 DATA(1, -1, -1) + ---- DATA(2, 2, 2)| x + 1000 / + + y z + +> +# I +> coeffs_as_lc_of_data(%, posn_list_3d_size4); +bytes used=99223348, alloc=2424388, time=6.67 +bytes used=100293992, alloc=2424388, time=6.74 +bytes used=101294564, alloc=2424388, time=6.80 +bytes used=102360560, alloc=2424388, time=6.87 +bytes used=103375336, alloc=2424388, time=6.94 +bytes used=104447556, alloc=2555436, time=7.01 +bytes used=105482648, alloc=2555436, time=7.08 +bytes used=106482848, alloc=2620960, time=7.15 +bytes used=107532036, alloc=2883056, time=7.22 +bytes used=108565568, alloc=3079628, time=7.29 +bytes used=109574036, alloc=3276200, time=7.35 +bytes used=110586812, alloc=3276200, time=7.40 +bytes used=111598764, alloc=3276200, time=7.46 + 269 3 2 2 2 +[COEFF(-1, -1, -1) = - ---- - 1/96 x - 3/160 x y + 1/20 x - 3/160 y z + 4000 + + 27 147 2 3 147 2 + - ---- x y z + ---- y z - 3/160 y z - 1/96 z + ---- x z + 1/20 z + 1000 2000 2000 + + 2 2 47 147 47 2 47 + + 1/20 y - 3/160 x y - ---- x + ---- x y - ---- y - 3/160 x z - ---- z + 1500 2000 1500 1500 + + 2 3 71 129 2 + - 3/160 x z - 1/96 y , COEFF(0, -1, -1) = ---- + ---- y z + 7/160 y + 2000 2000 + + 2 2 2 + - 1/2000 x z - 9/1000 x y z - 3/160 y z + 3/160 x y + 3/160 x z + + 3 607 13 2 3 607 2 + - 1/96 z - ----- z - --- x - 1/96 y - 1/2000 x y - ----- y - 1/160 x y + 12000 160 12000 + + 2 2 39 3 2 + - 1/160 x z - 3/160 y z - ---- x + 1/32 x + 7/160 z , COEFF(1, -1, -1) + 4000 + + 97 3 37 2 2 + = - ---- - 1/96 z - ---- x y + 3/80 z + 1/160 x y + 9/1000 x y z + 4000 1000 + + 2 111 97 157 2 2 37 + + 3/80 y + ---- y z - ---- z + ---- x + 3/160 x z + 1/80 x - ---- x z + 2000 3000 2000 1000 + + 2 2 3 2 3 2 + - 3/160 y z + 1/160 x z - 1/32 x + 3/160 x y - 1/96 y - 3/160 y z + + 97 3 3 + - ---- y, COEFF(2, -1, -1) = 1/96 x - 9/250 x z - 9/250 x y - 1/96 y + 3000 + + 2 2 2 93 27 449 59 + + 3/160 x + 1/32 z + 3/160 x z + ---- y z + ---- x y z - ----- x - ---- + 2000 1000 12000 1000 + + 2 281 2 2 2 2 + - 3/160 x y + ----- z - 3/160 y z + 3/160 x y - 3/160 y z - 3/160 x z + 12000 + + 2 3 281 3 13 2 + + 1/32 y - 1/96 z + ----- y, COEFF(-1, 0, -1) = - 1/96 x - --- y + 12000 160 + + 39 2 3 2 607 + - ---- y + 7/160 z - 1/96 z - 1/160 x y - ----- z - 1/2000 y z + 4000 12000 + + 2 2 3 71 2 + - 9/1000 x y z + 7/160 x - 3/160 x z + 1/32 y + ---- + 3/160 y z + 2000 + + 607 2 129 2 2 + - ----- x + 3/160 x y + ---- x z - 1/160 y z - 3/160 x z - 1/2000 x y, + 12000 2000 + + 437 469 2 2 49 2 + COEFF(0, 0, -1) = - ---- z + ---- - 1/160 x z + 3/80 z - ---- x - 3/40 x + 6000 4000 2000 + + 3 2 2 3 2 2 + + 1/32 y - 1/160 y z + 1/160 x y + 1/32 x + 3/160 x z - 3/40 y + + 3 2 17 2 + - 1/96 z + 3/160 y z - 7/2000 x z - 7/2000 y z - ---- x y + 1/160 x y + 2000 + + 49 3 3 2 + - 3/1000 x y z - ---- y, COEFF(1, 0, -1) = - 1/96 z + 1/32 y + 3/160 x + 2000 + + 3 2 13 2 691 323 + - 1/250 x y - 1/32 x + 1/160 x y - ---- y z + 1/32 z - ----- z + ---- x + 2000 12000 4000 + + 2 2 2 11 2 107 + + 1/160 x z - 1/160 x y - 1/160 y z + 3/1000 x y z - --- y - ---- y + 160 4000 + + 49 17 2 2 73 + + ---- - --- x z + 3/160 y z + 3/160 x z, COEFF(2, 0, -1) = ---- + 1000 500 4000 + + 27 13 17 2 2 2 2 + - ---- x z + ---- x y - ---- x + 1/40 z - 1/160 x y - 1/16 y + 1/80 x + 1000 1000 3000 + + 3 2 3 2 2 29 + + 1/96 x - 3/160 x z + 1/32 y + 3/160 y z + 3/160 x z - ---- z + 6000 + + 33 19 2 3 2 + - ---- y - ---- y z - 3/160 x y - 1/96 z - 1/160 y z + 9/1000 x y z, + 2000 2000 + + 2 2 37 37 3 + COEFF(-1, 1, -1) = - 3/160 x z + 3/80 x - ---- x y - ---- y z - 1/32 y + 1000 1000 + + 2 2 2 111 2 97 + + 1/160 y z + 3/160 x y + 3/160 y z + ---- x z - 3/160 x z - ---- z + 2000 3000 + + 2 97 3 157 97 2 + + 9/1000 x y z + 1/160 x y - ---- x - 1/96 x + ---- y - ---- + 3/80 z + 3000 2000 4000 + + 3 2 49 3 17 13 + - 1/96 z + 1/80 y , COEFF(0, 1, -1) = ---- + 1/32 x - --- y z - ---- x z + 1000 500 2000 + + 11 2 2 3 2 107 + + 3/1000 x y z - --- x + 3/160 x z - 1/32 y - 1/160 x z - ---- x + 160 4000 + + 2 691 2 2 2 2 + + 1/160 x y - ----- z - 1/160 x y + 3/160 y + 3/160 y z + 1/160 y z + 12000 + + 2 3 323 2 + - 1/250 x y + 1/32 z - 1/96 z + ---- y, COEFF(1, 1, -1) = 1/160 y z + 4000 + + 141 2 2 33 3 2 17 + + ---- y + 3/160 y z + 1/40 y + ---- x y - 1/32 x + 1/40 z - --- z + 2000 2000 375 + + 31 2 2 31 61 + - 3/1000 x y z - ---- x z + 3/160 x z + 1/160 x z - ---- y z - ---- + 1000 1000 4000 + + 3 2 2 2 3 141 + - 1/96 z - 1/160 x y + 1/40 x - 1/160 x y - 1/32 y + ---- x, + 2000 + + 3 3 2 3 137 + COEFF(2, 1, -1) = - 1/96 z - 1/32 y + 1/160 y z + 1/96 x - ----- x + 12000 + + 53 59 2 2 49 2 2 + + ----- z - ---- + 1/32 y - 3/160 x y + ---- x y + 1/160 x + 3/160 y z + 12000 2000 2000 + + 2 191 2 2 2 + + 3/160 z + ---- y + 1/160 x y - 7/250 y z + 3/160 x z - 3/160 x z + 4000 + + 2 2 + - 9/1000 x y z - 9/500 x z, COEFF(-1, 2, -1) = 3/160 x y - 3/160 y z + + 93 59 2 2 2 2 + + ---- x z - ---- - 3/160 x y + 3/160 y z - 3/160 x z + 1/32 z + 2000 1000 + + 281 449 3 27 3 3 + + ----- z - ----- y - 1/96 z + ---- x y z + 1/96 y - 9/250 y z - 1/96 x + 12000 12000 1000 + + 2 281 2 2 + + 3/160 y + ----- x - 9/250 x y + 1/32 x - 3/160 x z , COEFF(0, 2, -1) + 12000 + + 27 2 73 2 13 2 + = - ---- y z + 3/160 y z + ---- - 3/160 x y + ---- x y + 1/80 y + 1000 4000 1000 + + 29 3 17 2 2 + - ---- z - 1/96 z - ---- y + 9/1000 x y z - 1/160 x z - 1/16 x + 6000 3000 + + 2 2 2 3 2 3 + - 3/160 y z + 1/40 z - 1/160 x y + 1/32 x + 3/160 x z + 1/96 y + + 19 33 2 2 2 + - ---- x z - ---- x, COEFF(1, 2, -1) = 1/160 x z + 3/160 z - 3/160 y z + 2000 2000 + + 2 2 2 3 3 191 + + 3/160 y z + 1/32 x - 7/250 x z + 1/160 y - 1/32 x + 1/96 y + ---- x + 4000 + + 2 59 2 49 137 + + 3/160 x z - ---- - 9/500 y z - 3/160 x y + ---- x y - ----- y + 2000 2000 12000 + + 2 3 53 59 + + 1/160 x y - 1/96 z - 9/1000 x y z + ----- z, COEFF(2, 2, -1) = - ---- + 12000 4000 + + 2 41 3 307 + - 9/1000 y z + 1/80 z - --- x + 1/96 x - 3/2000 x y + ---- z + 750 6000 + + 2 2 27 3 2 3 + + 3/160 x y - 3/160 y z - ---- x y z - 1/96 z - 3/160 x z + 1/96 y + 1000 + + 41 2 2 2 + - 9/1000 x z - --- y + 3/160 x z + 3/160 x y + 3/160 y z , + 750 + + 129 2 2 2 + COEFF(-1, -1, 0) = ---- x y - 1/160 x z - 1/160 y z + 3/160 x z + 2000 + + 2 2 39 2 3 + - 3/160 x y - 1/2000 y z - 3/160 x y - ---- z + 3/160 y z + 1/32 z + 4000 + + 71 3 2 607 2 607 + + ---- - 1/96 y + 7/160 y - ----- y + 7/160 x - 1/2000 x z - ----- x + 2000 12000 12000 + + 13 2 3 2 + - 9/1000 x y z - --- z - 1/96 x , COEFF(0, -1, 0) = - 1/160 y z + 160 + + 2 2 17 + - 3/1000 x y z - 1/160 x y + 1/160 x z - 7/2000 y z - ---- x z + 2000 + + 2 49 2 3 2 2 3 + + 1/160 x z - ---- x + 3/80 y - 1/96 y - 3/40 x - 3/40 z + 1/32 z + 2000 + + 469 49 2 437 2 3 + + ---- - ---- z + 3/160 x y - ---- y + 3/160 y z - 7/2000 x y + 1/32 x , + 4000 2000 6000 + + 3 2 323 2 691 + COEFF(1, -1, 0) = - 1/32 x + 3/160 y z + ---- x + 3/160 x y - ----- y + 4000 12000 + + 3 107 17 3 2 11 2 2 + - 1/96 y - ---- z - --- x y + 1/32 z - 1/160 x z - --- z - 1/160 y z + 4000 500 160 + + 2 13 49 2 + + 3/160 x + 3/1000 x y z - ---- y z + ---- - 1/250 x z + 1/160 x y + 2000 1000 + + 2 2 27 19 + + 1/160 x z + 1/32 y , COEFF(2, -1, 0) = - ---- x y - ---- y z + 1000 2000 + + 2 73 2 2 13 3 + - 1/160 x z + ---- + 3/160 y z - 1/160 y z + ---- x z + 1/96 x + 4000 1000 + + 2 33 2 2 2 + - 3/160 x y - ---- z + 9/1000 x y z - 1/16 z - 3/160 x z + 1/80 x + 2000 + + 17 3 2 29 2 3 + - ---- x - 1/96 y + 3/160 x y - ---- y + 1/40 y + 1/32 z , + 3000 6000 + + 2 2 17 + COEFF(-1, 0, 0) = 1/160 y z - 1/160 x y - ---- y z - 7/2000 x y + 2000 + + 3 2 49 2 3 + - 3/1000 x y z - 1/96 x - 1/160 x z - ---- z + 3/160 x z + 1/32 y + 2000 + + 2 49 2 3 437 + + 1/160 y z - ---- y + 3/160 x y + 1/32 z - ---- x - 7/2000 x z + 2000 6000 + + 2 2 469 2 177 + - 3/40 y - 3/40 z + ---- + 3/80 x , COEFF(0, 0, 0) = ---- - 1/1000 x y z + 4000 1000 + + 2 3 19 11 2 11 2 2 3 + + 1/160 y z + 1/32 x - ---- x z - --- z - --- x + 1/160 y z + 1/32 y + 2000 160 160 + + 19 161 2 2 19 2 + - ---- x y - ---- z + 1/160 x y + 1/160 x y - ---- y z + 1/160 x z + 2000 4000 2000 + + 3 11 2 161 161 2 + + 1/32 z - --- y - ---- y - ---- x + 1/160 x z , COEFF(1, 0, 0) = + 160 4000 4000 + + 2 21 21 3 2 87 + 1/1000 x y z + 1/160 x z - ---- y z + --- x - 1/32 x - 1/16 y - ---- z + 2000 250 2000 + + 2 2 2 3 3 + - 1/160 x y + 1/160 x y + 1/160 y z - 3/1000 x y + 1/32 z + 1/32 y + + 87 397 2 2 2 2 + - ---- y + ---- - 1/16 z + 1/160 y z - 3/1000 x z - 1/160 x z + 1/40 x + 2000 4000 + + 2 23 3 2 + , COEFF(2, 0, 0) = 2/125 x y + 1/160 y z - ---- y z + 1/32 z + 1/160 x + 2000 + + 2 2 2 3 2 + - 1/160 x y - 9/160 y - 3/160 x z + 1/96 x - 9/160 z + 3/1000 x y z + + 143 2 137 137 2 3 + + ---- + 1/160 y z - ---- z - ---- y - 3/160 x y + 2/125 x z + 1/32 y + 2000 4000 4000 + + 349 2 3 691 + + ----- x - 1/160 x z, COEFF(-1, 1, 0) = 3/1000 x y z - 1/32 y - ----- x + 12000 12000 + + 2 2 2 2 49 17 + - 1/160 y z + 1/32 x - 1/160 x z + 3/160 y + ---- - --- x y + 1000 500 + + 2 323 2 13 3 2 + + 1/160 y z + ---- y + 3/160 x z - ---- x z - 1/96 x + 3/160 x y + 4000 2000 + + 11 2 2 107 3 + - --- z + 1/160 x y - ---- z - 1/250 y z + 1/32 z , COEFF(0, 1, 0) = + 160 4000 + + 2 397 2 87 + - 3/1000 x y - 1/160 y z + ---- + 1/1000 x y z + 1/160 y z - ---- x + 4000 2000 + + 2 87 2 2 2 + + 1/160 x z - ---- z - 3/1000 y z + 1/160 x y - 1/160 x y - 1/16 z + 2000 + + 21 3 2 2 21 3 3 + - ---- x z + 1/32 z + 1/160 x z + 1/40 y + --- y - 1/32 y + 1/32 x + 2000 250 + + 2 2 3 2 2 + - 1/16 x , COEFF(1, 1, 0) = 1/160 y z - 1/32 y - 1/160 y z - 1/160 x y + + 31 299 299 191 2 3 + + ---- x y - 1/500 y z + ---- y + ---- x - ---- z + 1/32 y - 1/32 x + 2000 4000 4000 4000 + + 2 2 3 2 + - 1/160 x z - 1/500 x z - 1/1000 x y z + 1/32 x + 1/32 z - 1/160 x y + + 2 2 49 2 2 + - 9/160 z + 1/160 x z + ----, COEFF(2, 1, 0) = 1/160 x y - 3/160 x z + 2000 + + 2 79 53 43 2 + + 1/160 y z + ---- x + ---- y + ---- x y - 3/1000 x y z - 1/160 x z + 3000 1000 2000 + + 3 2 2 3 3 79 + - 1/32 y - 3/160 x y - 1/20 z + 1/96 x + 1/32 z - ---- z - 1/1000 y z + 2000 + + 49 2 19 2 2 + + ---- + 3/80 y + ---- x z - 1/160 y z , COEFF(-1, 2, 0) = - 1/160 y z + 4000 1000 + + 2 2 3 3 2 3 29 + + 1/80 y + 3/160 x y - 1/96 x + 1/96 y - 1/16 z + 1/32 z - ---- x + 6000 + + 73 2 19 33 13 + + ---- - 3/160 x y + 9/1000 x y z - ---- x z - ---- z + ---- y z + 4000 2000 2000 1000 + + 2 2 27 2 2 17 + + 1/40 x + 3/160 x z - ---- x y - 3/160 y z - 1/160 x z - ---- y, + 1000 3000 + + 2 349 143 2 23 + COEFF(0, 2, 0) = - 3/160 x y + ----- y + ---- - 9/160 z - ---- x z + 12000 2000 2000 + + 2 2 137 2 3 + - 3/160 y z + 1/160 x z - ---- z + 2/125 y z - 9/160 x + 1/32 x + 4000 + + 2 3 2 + + 3/1000 x y z - 1/160 y z + 1/96 y - 1/160 x y + 2/125 x y + + 2 2 137 3 3 + + 1/160 x z + 1/160 y - ---- x + 1/32 z , COEFF(1, 2, 0) = - 1/32 x + 4000 + + 3 49 3 43 + + 1/96 y - 1/1000 x z - 3/1000 x y z + ---- + 1/32 z + ---- x y + 4000 2000 + + 2 53 2 2 19 79 + - 1/160 x z + ---- x - 3/160 x y - 1/20 z + ---- y z + ---- y + 1000 1000 3000 + + 2 2 2 79 2 2 + + 1/160 x z + 3/80 x + 1/160 x y - ---- z - 1/160 y z - 3/160 y z , + 2000 + + 2 11 2 11 21 + COEFF(2, 2, 0) = 3/160 x y + --- x z - 1/160 x z + --- y z - ---- x y + 500 500 2000 + + 2 2 3 2 167 + - 1/160 y - 1/160 y z + 1/32 z - 3/160 y z - ----- x - 9/1000 x y z + 12000 + + 2 129 2 3 2 3 + - 7/160 z - ---- z - 1/160 x + 7/250 + 1/96 x + 3/160 x y + 1/96 y + 4000 + + 2 167 2 97 + - 3/160 x z - ----- y, COEFF(-1, -1, 1) = 9/1000 x y z + 1/80 z - ---- x + 12000 3000 + + 37 2 2 37 2 3 + - ---- y z + 1/160 y z + 3/80 x - ---- x z - 3/160 x y - 1/32 z + 1000 1000 + + 3 111 97 2 2 97 + - 1/96 x + ---- x y - ---- + 1/160 x z + 3/160 y z - ---- y + 2000 4000 3000 + + 2 157 3 2 2 + - 3/160 x y + ---- z - 1/96 y + 3/160 x z + 3/80 y , COEFF(0, -1, 1) = + 2000 + + 3 49 3 3 2 323 + - 1/96 y + ---- - 1/32 z + 1/32 x + 1/32 y + 3/1000 x y z + ---- z + 1000 4000 + + 17 107 2 2 2 691 + - --- y z - ---- x + 3/160 y z + 3/160 z + 1/160 y z - ----- y + 500 4000 12000 + + 2 11 2 2 2 13 + - 1/160 x y - --- x + 1/160 x z - 1/160 x z - ---- x y - 1/250 x z + 160 2000 + + 2 2 31 3 + + 3/160 x y, COEFF(1, -1, 1) = 1/160 y z - ---- x y - 1/32 x + 1000 + + 2 2 2 141 33 + - 3/1000 x y z + 1/160 x y + 3/160 x y - 1/160 x z + ---- x + ---- x z + 2000 2000 + + 2 61 17 2 2 31 2 + + 1/40 x - ---- - --- y + 3/160 y z + 1/40 y - ---- y z - 1/160 x z + 4000 375 1000 + + 3 3 2 141 2 + - 1/96 y - 1/32 z + 1/40 z + ---- z, COEFF(2, -1, 1) = 3/160 y z + 2000 + + 2 2 59 2 2 + + 3/160 x y - 7/250 y z - 3/160 x z - ---- - 3/160 x y + 1/160 y z + 2000 + + 3 49 2 137 2 + + 1/96 x + ---- x z + 1/32 z - 9/1000 x y z - ----- x + 3/160 y + 2000 12000 + + 3 3 2 53 2 191 + - 1/32 z - 1/96 y + 1/160 x z + ----- y - 9/500 x y + 1/160 x + ---- z + 12000 4000 + + 17 2 2 49 + , COEFF(-1, 0, 1) = - --- x z + 1/160 y z - 1/250 y z - 1/160 y z + ---- + 500 1000 + + 2 2 2 2 691 13 + + 3/160 x z - 1/160 x y + 3/160 z + 1/160 x z - ----- x - ---- x y + 12000 2000 + + 3 323 11 2 2 3 107 + - 1/32 z + 3/1000 x y z + ---- z - --- y + 3/160 x y + 1/32 y - ---- y + 4000 160 4000 + + 3 2 87 2 + - 1/96 x + 1/32 x , COEFF(0, 0, 1) = - ---- y - 3/1000 y z + 1/160 x y + 2000 + + 21 2 2 2 21 + + --- z + 1/1000 x y z + 1/160 x z + 1/160 y z - 1/160 y z - ---- x y + 250 2000 + + 2 2 3 2 3 397 2 + - 1/16 y - 1/160 x z + 1/32 y + 1/160 x y - 1/32 z + ---- + 1/40 z + 4000 + + 87 3 2 + - ---- x + 1/32 x - 3/1000 x z - 1/16 x , COEFF(1, 0, 1) = - 1/500 y z + 2000 + + 2 2 2 2 49 + - 1/160 y z - 1/160 x y - 1/160 x z + 1/160 y z + ---- - 1/500 x y + 2000 + + 299 2 2 2 3 31 + + ---- x + 1/160 x y - 9/160 y - 1/160 x z - 1/32 z + ---- x z + 4000 2000 + + 3 299 2 3 191 2 + + 1/32 y + ---- z + 1/32 z - 1/1000 x y z - 1/32 x - ---- y + 1/32 x , + 4000 4000 + + 43 2 2 + COEFF(2, 0, 1) = ---- x z - 3/160 x z - 1/160 x y - 3/1000 x y z + 2000 + + 2 53 79 2 2 + - 1/1000 y z - 3/160 x y + ---- z + ---- x - 1/160 y z - 1/20 y + 1000 3000 + + 19 3 2 3 49 2 2 + + ---- x y - 1/32 z + 1/160 x z + 1/32 y + ---- + 3/80 z + 1/160 y z + 1000 4000 + + 3 79 31 17 2 + + 1/96 x - ---- y, COEFF(-1, 1, 1) = - ---- x z - --- x + 1/160 x y + 2000 1000 375 + + 61 2 2 2 2 31 + - ---- + 3/160 x z - 1/160 y z + 3/160 x y + 1/160 x z - ---- x y + 4000 1000 + + 3 141 141 2 2 3 + - 1/96 x + ---- y - 3/1000 x y z + ---- z + 1/40 z + 1/40 y - 1/32 y + 2000 2000 + + 33 3 2 2 + + ---- y z - 1/32 z - 1/160 y z + 1/40 x , COEFF(0, 1, 1) = - 1/500 x z + 2000 + + 2 31 2 2 3 49 2 + - 1/160 y z + ---- y z + 1/32 z - 1/160 x z + 1/32 x + ---- + 1/32 y + 2000 2000 + + 299 2 299 3 + - 1/500 x y + ---- y + 1/160 x y + ---- z - 1/1000 x y z - 1/32 y + 4000 4000 + + 191 2 2 2 2 3 + - ---- x - 1/160 y z - 1/160 x y - 9/160 x + 1/160 x z - 1/32 z , + 4000 + + 29 2 29 2 193 + COEFF(1, 1, 1) = ---- y z - 1/160 x y + ---- x y - 1/160 x z - ---- + 2000 2000 4000 + + 2 29 133 2 2 + - 1/160 x y + ---- x z + ---- z + 1/1000 x y z - 1/160 y z - 1/160 x z + 2000 2000 + + 3 133 2 2 133 3 2 + - 1/32 z + ---- x + 3/80 x + 3/80 z + ---- y - 1/32 x - 1/160 y z + 2000 2000 + + 2 3 37 319 + + 3/80 y - 1/32 y , COEFF(2, 1, 1) = ---- x z + 3/1000 x y z + ----- x + 2000 12000 + + 23 2 2 2 3 183 2 + - --- + 7/160 z - 1/160 y z + 7/160 y + 1/96 x + ---- z - 1/160 y z + 500 4000 + + 3 2 183 37 3 2 + - 1/32 z - 3/160 x z + ---- y + ---- x y - 1/32 y + 1/160 x z + 4000 2000 + + 2 2 2 27 + + 1/160 x y - 3/160 x y - 1/160 x + ---- y z, COEFF(-1, 2, 1) = + 2000 + + 2 59 2 2 + - 9/1000 x y z - 3/160 y z - 9/500 x y - ---- + 1/160 x z + 3/160 x y + 2000 + + 2 2 2 49 191 2 + + 1/32 z - 3/160 x y + 1/160 y + ---- y z + ---- z + 3/160 x z + 2000 4000 + + 3 137 2 2 53 + - 1/32 z - 7/250 x z - ----- y + 1/160 y z + 3/160 x + ----- x + 12000 12000 + + 3 3 2 49 + - 1/96 x + 1/96 y , COEFF(0, 2, 1) = - 3/1000 x y z - 3/160 x y + ---- + 4000 + + 2 2 2 53 2 3 + - 3/160 y z - 1/160 x y - 1/160 x z + ---- z - 1/20 x - 1/32 z + 1000 + + 3 79 79 43 3 2 19 + + 1/32 x + ---- y - ---- x + ---- y z + 1/96 y + 1/160 x z + ---- x y + 3000 2000 2000 1000 + + 2 2 + - 1/1000 x z + 3/80 z + 1/160 y z, COEFF(1, 2, 1) = 3/1000 x y z + + 2 2 2 2 23 37 + - 1/160 x z + 1/160 x y - 3/160 y z - 1/160 y - --- + ---- x y + 500 2000 + + 3 2 2 27 183 2 + + 1/96 y - 1/160 x z + 7/160 z + ---- x z + ---- z + 1/160 y z + 2000 4000 + + 3 2 319 3 2 183 37 + - 1/32 z + 7/160 x + ----- y - 1/32 x - 3/160 x y + ---- x + ---- y z, + 12000 4000 2000 + + 2 2 2 67 39 + COEFF(2, 2, 1) = 3/160 x y - 3/160 y z + 1/160 x z - ---- - ---- x y + 4000 2000 + + 2 3 2 2 2 + + 9/1000 x y z + 1/160 y z + 1/96 y - 1/80 y + 1/20 z - 3/160 x z + + 13 3 3 31 2 2 + + --- z + 1/96 x - 1/32 z + ---- x z - 4/375 y - 1/80 x + 3/160 x y + 500 2000 + + 31 2 281 + - 4/375 x + ---- y z, COEFF(-1, -1, 2) = - 3/160 y z + ----- x + 2000 12000 + + 2 2 3 3 449 27 + - 3/160 x z + 3/160 y z - 1/96 y - 1/96 x - ----- z + ---- x y z + 12000 1000 + + 2 2 2 93 2 2 + + 1/32 y - 3/160 x y - 3/160 x y + ---- x y + 3/160 z + 3/160 x z + 2000 + + 3 281 2 59 + + 1/96 z - 9/250 x z + ----- y + 1/32 x - 9/250 y z - ----, + 12000 1000 + + 2 2 3 17 2 + COEFF(0, -1, 2) = 1/80 z - 1/16 x - 1/96 y - ---- z + 3/160 x y + 3000 + + 13 2 33 19 2 + + ---- x z + 9/1000 x y z + 1/40 y - ---- x - ---- x y - 3/160 y z + 1000 2000 2000 + + 2 3 2 73 2 3 + - 1/160 x y + 1/32 x - 3/160 x z + ---- - 1/160 x z + 1/96 z + 4000 + + 2 29 27 2 191 + + 3/160 y z - ---- y - ---- y z, COEFF(1, -1, 2) = 3/160 x y + ---- x + 6000 1000 4000 + + 59 3 2 3 2 49 53 + - ---- - 1/32 x + 1/32 x - 1/96 y + 3/160 y + ---- x z + ----- y + 2000 2000 12000 + + 2 3 137 2 + + 1/160 x y + 1/96 z - 7/250 x y - ----- z - 3/160 x z - 9/1000 x y z + 12000 + + 2 2 2 2 + - 9/500 y z - 3/160 y z + 3/160 y z + 1/160 z + 1/160 x z , + + 3 41 2 27 2 + COEFF(2, -1, 2) = 1/96 z - --- z + 1/80 y - ---- x y z - 3/160 x y + 750 1000 + + 41 2 307 2 + - 3/2000 x z - --- x + 3/160 x z + ---- y - 9/1000 y z - 3/160 y z + 750 6000 + + 2 3 2 59 2 3 + + 3/160 y z + 1/96 x + 3/160 x z - ---- + 3/160 x y - 1/96 y + 4000 + + 17 19 3 + - 9/1000 x y, COEFF(-1, 0, 2) = 9/1000 x y z - ---- z - ---- x y - 1/96 x + 3000 2000 + + 2 2 2 2 2 33 + - 1/160 y z - 3/160 x z - 1/160 x y - 1/16 y + 3/160 x z - ---- y + 2000 + + 13 29 2 3 73 27 2 + + ---- y z - ---- x - 3/160 y z + 1/96 z + ---- - ---- x z + 3/160 x y + 1000 6000 4000 1000 + + 2 3 2 23 2 + + 1/40 x + 1/32 y + 1/80 z , COEFF(0, 0, 2) = - ---- x y - 1/160 y z + 2000 + + 2 137 2 137 2 + + 1/160 x y - ---- x - 3/160 x z - ---- y + 2/125 y z + 1/160 z + 4000 4000 + + 349 3 3 2 3 143 + + ----- z + 1/32 y + 1/32 x - 9/160 y + 3/1000 x y z + 1/96 z + ---- + 12000 2000 + + 2 2 2 2 + - 1/160 x z + 2/125 x z - 3/160 y z - 9/160 x + 1/160 x y , + + 43 53 2 3 2 + COEFF(1, 0, 2) = ---- x z + ---- x - 1/160 y z - 1/32 x + 1/160 x y + 2000 1000 + + 2 2 3 2 2 + - 1/20 y - 3/160 x z + 1/32 y - 1/1000 x y - 3/160 y z + 1/160 x z + + 3 2 19 2 79 49 + + 1/96 z + 3/80 x + ---- y z - 1/160 x y - 3/1000 x y z + ---- z + ---- + 1000 3000 4000 + + 79 2 11 21 + - ---- y, COEFF(2, 0, 2) = 7/250 - 1/160 z + --- y z - ---- x z + 2000 500 2000 + + 2 2 2 3 2 167 + - 1/160 y z - 3/160 y z - 1/160 x y + 1/96 x + 3/160 x z - ----- x + 12000 + + 11 3 2 2 2 + + --- x y + 1/32 y + 3/160 x z - 7/160 y - 9/1000 x y z - 1/160 x + 500 + + 2 167 3 129 2 + - 3/160 x y - ----- z + 1/96 z - ---- y, COEFF(-1, 1, 2) = 3/160 x y + 12000 4000 + + 3 3 2 2 2 + + 1/96 z - 9/1000 x y z - 1/96 x - 3/160 y z - 3/160 x z + 3/160 x + + 2 2 49 2 + + 1/160 z + 1/32 y + ---- y z - 9/500 x z - 7/250 x y + 1/160 y z + 2000 + + 53 2 3 2 137 59 191 + + ----- x + 1/160 x y - 1/32 y + 3/160 x z - ----- z - ---- + ---- y, + 12000 12000 2000 4000 + + 53 2 49 + COEFF(0, 1, 2) = ---- y - 3/160 y z - 3/1000 x y z - 1/1000 x y + ---- + 1000 4000 + + 3 2 3 2 2 2 + + 1/32 x - 1/160 x y + 1/96 z - 3/160 x z + 3/80 y - 1/160 x z + + 2 79 2 3 19 79 2 + - 1/20 x - ---- x + 1/160 x y - 1/32 y + ---- x z + ---- z + 1/160 y z + 2000 1000 3000 + + 43 2 2 2 + + ---- y z, COEFF(1, 1, 2) = - 1/160 x y + 1/160 y z - 1/160 x y + 2000 + + 2 3 2 27 2 2 + - 3/160 x z - 1/32 x + 1/160 x z + ---- x y + 7/160 y - 3/160 y z + 2000 + + 183 2 3 183 319 3 + + ---- x - 1/160 z - 1/32 y + ---- y + ----- z + 1/96 z + 3/1000 x y z + 4000 4000 12000 + + 23 37 2 37 67 + - --- + ---- x z + 7/160 x + ---- y z, COEFF(2, 1, 2) = - ---- + 500 2000 2000 4000 + + 2 2 2 13 31 2 + - 3/160 x y - 1/80 z + 1/160 y z + --- y + ---- x y + 1/160 x y + 500 2000 + + 2 3 2 2 3 + + 1/20 y + 1/96 z - 3/160 y z + 3/160 x z - 4/375 x + 1/96 x + + 3 2 2 39 + - 1/32 y + 3/160 x z - 4/375 z - 1/80 x + 9/1000 x y z - ---- x z + 2000 + + 31 3 59 2 + + ---- y z, COEFF(-1, 2, 2) = - 3/2000 y z + 1/96 z - ---- - 3/160 x y + 2000 4000 + + 3 2 2 2 2 + - 1/96 x - 9/1000 x z - 3/160 x z + 3/160 y z + 3/160 y z + 3/160 x z + + 2 307 41 3 41 2 + + 1/80 x + ---- x - --- y + 1/96 y - 9/1000 x y - --- z + 3/160 x y + 6000 750 750 + + 27 2 2 21 + - ---- x y z, COEFF(0, 2, 2) = - 1/160 z - 1/160 x z - ---- y z + 1000 2000 + + 3 2 11 2 2 + + 1/96 z + 7/250 - 7/160 x + --- x z + 3/160 y z + 3/160 y z + 500 + + 2 2 2 11 129 3 + - 3/160 x y - 1/160 x y - 3/160 x z + --- x y - ---- x + 1/32 x + 500 4000 + + 3 167 167 2 + + 1/96 y - ----- y - ----- z - 1/160 y - 9/1000 x y z, COEFF(1, 2, 2) = + 12000 12000 + + 31 2 39 2 3 2 + ---- x z - 3/160 x y - ---- y z - 3/160 x z - 1/32 x + 1/160 x z + 2000 2000 + + 13 2 67 2 2 2 3 + + --- x + 3/160 y z - ---- + 3/160 y z - 1/80 z + 1/160 x y + 1/96 z + 500 4000 + + 3 31 2 2 + + 1/96 y - 4/375 z + ---- x y + 1/20 x - 1/80 y + 9/1000 x y z + 2000 + + 57 2 3 2 + - 4/375 y, COEFF(2, 2, 2) = - ---- x z + 3/160 x y + 1/96 x - 3/160 z + 2000 + + 77 2 3 57 57 539 2 + + ---- + 3/160 x z + 1/96 y - ---- y z - ---- x y - ----- x - 3/160 y + 2000 2000 2000 12000 + + 2 539 2 3 2 539 + + 3/160 x z - ----- y + 3/160 x y + 1/96 z + 3/160 y z - ----- z + 12000 12000 + + 2 27 2 + - 3/160 x + ---- x y z + 3/160 y z] + 1000 + +> print_coeffs__lc_of_data(%, "coeffs_I->coeff_", "fp", +> 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alloc=3669344, time=19.63 +bytes used=235624056, alloc=3669344, time=19.69 +bytes used=236624340, alloc=3669344, time=19.75 +bytes used=237624556, alloc=3669344, time=19.82 +bytes used=238624716, alloc=3669344, time=19.89 +bytes used=239630796, alloc=3669344, time=20.12 +bytes used=240631060, alloc=3669344, time=20.36 +bytes used=241631280, alloc=3669344, time=20.49 +bytes used=242631476, alloc=3669344, time=20.58 +bytes used=243631692, alloc=3669344, time=20.68 +bytes used=244631872, alloc=3669344, time=20.77 +bytes used=245632028, alloc=3669344, time=20.86 +bytes used=246632264, alloc=3669344, time=20.96 +bytes used=247632468, alloc=3669344, time=21.06 +bytes used=248658260, alloc=3669344, time=21.31 +bytes used=249658452, alloc=3669344, time=21.82 +bytes used=250658820, alloc=3669344, time=21.90 +bytes used=251659132, alloc=3669344, time=21.96 +bytes used=252659476, alloc=3669344, time=22.03 +bytes used=253659896, alloc=3669344, time=22.09 +bytes used=254660120, alloc=3669344, time=22.16 +bytes used=255660312, alloc=3669344, time=22.22 +bytes used=256660724, alloc=3669344, time=22.29 +bytes used=257660900, alloc=3669344, time=22.35 +bytes used=258661176, alloc=3669344, time=22.42 +bytes used=259661404, alloc=3669344, time=22.58 +bytes used=260661664, alloc=3669344, time=22.90 +bytes used=261663204, alloc=3669344, time=23.01 +bytes used=262663356, alloc=3669344, time=23.10 +bytes used=263663516, alloc=3669344, time=23.19 +bytes used=264663672, alloc=3669344, time=23.28 +bytes used=265663888, alloc=3669344, time=23.38 +bytes used=266664140, alloc=3669344, time=23.47 +bytes used=267664368, alloc=3669344, time=23.94 +bytes used=268665232, alloc=3669344, time=24.32 +bytes used=269665904, alloc=3669344, time=24.48 +bytes used=270666408, alloc=3669344, time=24.53 +bytes used=271666608, alloc=3669344, time=24.65 +bytes used=272666992, alloc=3669344, time=24.77 +bytes used=273667180, alloc=3669344, time=24.90 +> +# d/dx +> simplify( diff(interp_3d_cube_order3_smooth0,x) ); +bytes used=274668316, alloc=3669344, time=24.98 +bytes used=275668480, alloc=3669344, time=25.05 +bytes used=276669456, alloc=3669344, time=25.12 +bytes used=277669672, alloc=3669344, time=25.19 +bytes used=278743076, alloc=3669344, time=25.26 +bytes used=279744244, alloc=3669344, time=25.33 +bytes used=280744584, alloc=3669344, time=25.41 +bytes used=281744824, alloc=3669344, time=25.48 +bytes used=282745060, alloc=3669344, time=25.55 +bytes used=283745348, alloc=3669344, time=25.62 + 33 17 33 +- ---- DATA(0, 2, -1) - ---- DATA(2, 0, -1) - ---- DATA(0, -1, 2) + 2000 3000 2000 + + 129 53 607 + - ---- DATA(0, 2, 2) + ---- DATA(1, 0, 2) - ----- DATA(-1, 0, -1) + 4000 1000 12000 + + 449 161 21 + - ----- DATA(2, -1, -1) - ---- DATA(0, 0, 0) + --- DATA(1, 0, 0) + 12000 4000 250 + + 87 299 87 + - ---- DATA(0, 1, 0) + ---- DATA(1, 1, 0) - ---- DATA(0, 0, 1) + 2000 4000 2000 + + 299 191 133 + + ---- DATA(1, 0, 1) - ---- DATA(0, 1, 1) + ---- DATA(1, 1, 1) + 4000 4000 2000 + + 41 191 281 + - --- DATA(2, 2, -1) + ---- DATA(1, 2, -1) + ----- DATA(-1, 2, -1) + 750 4000 12000 + + 137 349 17 + - ----- DATA(2, 1, -1) + ----- DATA(2, 0, 0) - ---- DATA(2, -1, 0) + 12000 12000 3000 + + 53 137 29 + + ---- DATA(1, 2, 0) - ---- DATA(0, 2, 0) - ---- DATA(-1, 2, 0) + 1000 4000 6000 + + 79 167 137 + + ---- DATA(2, 1, 0) - ----- DATA(2, 2, 0) - ----- DATA(2, -1, 1) + 3000 12000 12000 + + 79 53 319 + + ---- DATA(2, 0, 1) + ----- DATA(-1, 2, 1) + ----- DATA(2, 1, 1) + 3000 12000 12000 + + 183 79 281 + + ---- DATA(1, 2, 1) - ---- DATA(0, 2, 1) + ----- DATA(-1, -1, 2) + 4000 2000 12000 + + 191 167 + - 4/375 DATA(2, 2, 1) + ---- DATA(1, -1, 2) - ----- DATA(2, 0, 2) + 4000 12000 + + 137 29 41 + - ---- DATA(0, 0, 2) - ---- DATA(-1, 0, 2) - --- DATA(2, -1, 2) + 4000 6000 750 + + 183 79 53 + + ---- DATA(1, 1, 2) - ---- DATA(0, 1, 2) + ----- DATA(-1, 1, 2) + 4000 2000 12000 + + 307 13 + + ---- DATA(-1, 2, 2) - 4/375 DATA(2, 1, 2) + --- DATA(1, 2, 2) + 6000 500 + + 49 323 437 + - ---- DATA(0, -1, 0) + ---- DATA(1, -1, 0) - ---- DATA(-1, 0, 0) + 2000 4000 6000 + + 691 97 107 + - ----- DATA(-1, 1, 0) - ---- DATA(-1, -1, 1) - ---- DATA(0, -1, 1) + 12000 3000 4000 + + 141 691 17 + + ---- DATA(1, -1, 1) - ----- DATA(-1, 0, 1) - --- DATA(-1, 1, 1) + 2000 12000 375 + + 49 323 97 + - ---- DATA(0, 0, -1) + ---- DATA(1, 0, -1) - ---- DATA(-1, 1, -1) + 2000 4000 3000 + + 107 141 607 + - ---- DATA(0, 1, -1) + ---- DATA(1, 1, -1) - ----- DATA(-1, -1, 0) + 4000 2000 12000 + + 47 39 157 + - ---- DATA(-1, -1, -1) - ---- DATA(0, -1, -1) + ---- DATA(1, -1, -1) + 1500 4000 2000 + + 539 + - ----- DATA(2, 2, 2) - 1/80 x y DATA(1, 1, 0) + 1/1000 y z DATA(0, 0, 1) + 12000 + + + 3/80 x y DATA(2, 2, 1) - 3/1000 y z DATA(0, 2, 1) + + - 9/1000 y z DATA(0, 2, 2) - 1/80 x y DATA(-1, 0, 0) + + + 1/80 x y DATA(1, 0, 1) + 3/80 x y DATA(0, -1, 0) + + - 9/1000 y z DATA(-1, 0, -1) - 9/1000 y z DATA(2, 2, 0) + + 2 2 + - 3/80 x y DATA(1, 2, 2) - 1/32 x DATA(-1, 2, 2) + 1/32 x DATA(2, 1, 2) + + 2 2 2 + - 3/32 x DATA(1, 2, 2) + 3/32 x DATA(0, -1, 0) - 3/32 x DATA(1, -1, 0) + + 2 2 2 + - 1/32 x DATA(-1, 0, 0) - 1/32 x DATA(-1, 1, 0) + 1/32 x DATA(2, 1, 1) + + 2 2 2 + - 3/32 x DATA(1, 2, 1) + 3/32 x DATA(0, 2, 1) - 1/32 x DATA(-1, -1, 2) + + 2 2 2 + + 1/32 x DATA(2, 2, 1) - 3/32 x DATA(1, -1, 2) + 1/32 x DATA(2, 0, 2) + + 2 2 2 + + 3/32 x DATA(0, 0, 2) - 1/32 x DATA(-1, 0, 2) + 1/32 x DATA(2, -1, 2) + + 2 2 2 + - 3/32 x DATA(1, 1, 2) + 3/32 x DATA(0, 1, 2) - 1/32 x DATA(-1, 1, 2) + + 2 13 + + 3/32 x DATA(0, 2, -1) + 1/10 x DATA(-1, -1, -1) - -- x DATA(0, -1, -1) + 80 + + 11 + + 1/40 x DATA(1, -1, -1) - 3/80 x DATA(2, 2, 2) - -- x DATA(0, -1, 1) + 80 + + + 1/40 x DATA(-1, 2, 2) - 1/40 x DATA(2, 1, 2) + 1/10 x DATA(1, 2, 2) + + - 3/20 x DATA(0, -1, 0) + 1/80 x y DATA(1, 0, -1) + + 2 2 + - 3/160 z DATA(-1, 2, 2) + 3/160 z DATA(2, 1, 2) + + 2 2 + + 1/160 z DATA(1, 2, 2) + 1/160 z DATA(0, -1, 0) + + 2 2 + - 1/160 z DATA(1, -1, 0) + 3/160 z DATA(-1, 0, 0) + + 2 2 + + 3/160 z DATA(-1, 1, 0) + 3/160 z DATA(2, 2, -1) + + 2 2 + + 1/160 z DATA(1, 2, -1) - 3/160 z DATA(-1, 2, -1) + + 2 2 + + 3/160 z DATA(2, 1, -1) - 3/160 z DATA(2, 0, 0) + + 2 2 + - 3/160 z DATA(2, -1, 0) - 1/160 z DATA(1, 2, 0) + + 2 2 + + 1/160 z DATA(0, 2, 0) + 3/160 z DATA(-1, 2, 0) + + 2 2 + - 3/160 z DATA(2, 1, 0) - 3/160 z DATA(2, 2, 0) + + 2 2 + - 3/160 z DATA(2, -1, 1) - 3/160 z DATA(2, 0, 1) + + 2 2 + + 3/160 z DATA(-1, 2, 1) - 3/160 z DATA(2, 1, 1) + + 2 2 + - 1/32 x DATA(-1, -1, 1) - 3/32 x DATA(1, -1, 1) + + 2 2 2 + - 1/32 x DATA(-1, 0, 1) - 1/32 x DATA(-1, 1, 1) + 3/32 x DATA(0, 0, -1) + + 2 2 + - 3/32 x DATA(1, 0, -1) - 1/32 x DATA(-1, 1, -1) + + 2 2 + + 3/32 x DATA(0, 1, -1) - 3/32 x DATA(1, 1, -1) + + 2 2 + - 1/32 x DATA(-1, -1, 0) - 1/32 x DATA(-1, -1, -1) + + 2 2 + + 3/32 x DATA(0, -1, -1) - 3/32 x DATA(1, -1, -1) + + 2 2 + + 1/32 x DATA(2, 2, 2) + 3/32 x DATA(0, -1, 1) - 1/80 x y DATA(2, 0, -1) + + 2 2 + - 3/160 z DATA(2, 2, 1) + 1/160 z DATA(1, -1, 2) + + 2 2 + + 3/160 z DATA(2, 0, 2) - 1/160 z DATA(0, 0, 2) + + 2 2 + - 3/160 z DATA(-1, 0, 2) + 3/160 z DATA(2, -1, 2) + + 2 2 + + 1/160 z DATA(1, 1, 2) - 1/160 z DATA(0, 1, 2) + + 2 2 + - 3/160 z DATA(-1, 1, 2) - 1/160 z DATA(0, 2, -1) + + 2 2 + + 3/160 z DATA(-1, -1, 1) - 1/160 z DATA(1, -1, 1) + + 2 2 + + 3/160 z DATA(-1, 0, 1) + 3/160 z DATA(-1, 1, 1) + + 2 2 + - 1/160 z DATA(0, 0, -1) + 1/160 z DATA(1, 0, -1) + + 2 2 + - 3/160 z DATA(-1, 1, -1) - 1/160 z DATA(0, 1, -1) + + 2 2 + + 1/160 z DATA(1, 1, -1) + 3/160 z DATA(-1, -1, 0) + + 2 2 + - 3/160 z DATA(-1, -1, -1) - 1/160 z DATA(0, -1, -1) + + 2 2 + + 1/160 z DATA(1, -1, -1) + 3/160 z DATA(2, 2, 2) + + 2 27 + + 1/160 z DATA(0, -1, 1) + ---- z DATA(1, 2, 1) - 1/1000 z DATA(0, 2, 1) + 2000 + + 31 49 + - 9/250 z DATA(-1, -1, 2) + ---- z DATA(2, 2, 1) + ---- z DATA(1, -1, 2) + 2000 2000 + + 21 27 + - ---- z DATA(2, 0, 2) + 2/125 z DATA(0, 0, 2) - ---- z DATA(-1, 0, 2) + 2000 1000 + + 37 19 + - 3/2000 z DATA(2, -1, 2) + ---- z DATA(1, 1, 2) + ---- z DATA(0, 1, 2) + 2000 1000 + + 19 37 + - 9/500 z DATA(-1, 1, 2) - ---- z DATA(0, 2, -1) - ---- z DATA(-1, -1, 1) + 2000 1000 + + 33 23 + + ---- z DATA(1, -1, 1) - ---- z DATA(0, 2, 0) - 9/500 z DATA(2, 1, -1) + 2000 2000 + + 13 27 + + ---- z DATA(2, -1, 0) + 2/125 z DATA(2, 0, 0) - ---- z DATA(2, 0, -1) + 1000 1000 + + 13 11 43 + + ---- z DATA(0, -1, 2) + --- z DATA(0, 2, 2) + ---- z DATA(1, 0, 2) + 1000 500 2000 + + 129 19 + + ---- z DATA(-1, 0, -1) - 9/250 z DATA(2, -1, -1) - ---- z DATA(0, 0, 0) + 2000 2000 + + 21 + - 3/1000 z DATA(1, 0, 0) - ---- z DATA(0, 1, 0) - 1/500 z DATA(1, 1, 0) + 2000 + + 31 + - 3/1000 z DATA(0, 0, 1) + ---- z DATA(1, 0, 1) - 1/500 z DATA(0, 1, 1) + 2000 + + 29 + + ---- z DATA(1, 1, 1) - 9/1000 z DATA(2, 2, -1) - 7/250 z DATA(1, 2, -1) + 2000 + + 93 2 2 + + ---- z DATA(-1, 2, -1) - 1/160 z DATA(1, 2, 1) + 1/160 z DATA(0, 2, 1) + 2000 + + 2 + - 3/160 z DATA(-1, -1, 2) - 7/2000 z DATA(-1, 0, 0) + + 13 2 + - ---- z DATA(-1, 1, 0) - 3/160 y DATA(2, 0, -1) + 2000 + + 2 2 + - 1/160 y DATA(0, -1, 2) - 1/160 y DATA(0, 2, 2) + + 2 2 + - 1/160 y DATA(1, 0, 2) + 3/160 y DATA(-1, 0, -1) + + 2 2 + + 3/160 y DATA(2, -1, -1) + 1/160 y DATA(0, 0, 0) + + 2 2 2 + - 1/160 y DATA(1, 0, 0) + 1/160 y DATA(0, 1, 0) - 1/160 y DATA(1, 1, 0) + + 2 2 2 + + 1/160 y DATA(0, 0, 1) - 1/160 y DATA(1, 0, 1) + 1/160 y DATA(0, 1, 1) + + 2 2 + - 1/160 y DATA(1, 1, 1) + 3/160 y DATA(2, 2, -1) + + 2 2 + + 1/160 y DATA(1, 2, -1) - 3/160 y DATA(-1, 2, -1) + + 2 31 + - 3/160 y DATA(2, 1, -1) - ---- z DATA(-1, 1, 1) - 1/1000 z DATA(1, 2, 0) + 1000 + + 19 19 11 + - ---- z DATA(-1, 2, 0) + ---- z DATA(2, 1, 0) + --- z DATA(2, 2, 0) + 2000 1000 500 + + 49 43 + + ---- z DATA(2, -1, 1) + ---- z DATA(2, 0, 1) - 7/250 z DATA(-1, 2, 1) + 2000 2000 + + 37 2 + + ---- z DATA(2, 1, 1) + 1/1000 y z DATA(1, 1, 1) - 3/160 y DATA(2, 1, 2) + 2000 + + 2 2 + - 1/160 y DATA(0, -1, 0) + 1/160 y DATA(1, -1, 0) + + 2 2 + + 3/160 y DATA(-1, 0, 0) + 3/160 y DATA(-1, 1, 0) + + 2 2 + - 3/160 y DATA(2, 0, 0) + 3/160 y DATA(2, -1, 0) + + 2 2 + + 1/160 y DATA(1, 2, 0) - 1/160 y DATA(0, 2, 0) + + 2 2 17 + - 3/160 y DATA(-1, 2, 0) - 3/160 y DATA(2, 1, 0) - --- z DATA(-1, 0, 1) + 500 + + 17 111 + - 7/2000 z DATA(0, 0, -1) - --- z DATA(1, 0, -1) + ---- z DATA(-1, 1, -1) + 500 2000 + + 13 31 + - ---- z DATA(0, 1, -1) - ---- z DATA(1, 1, -1) - 1/2000 z DATA(-1, -1, 0) + 2000 1000 + + 147 + + ---- z DATA(-1, -1, -1) - 1/2000 z DATA(0, -1, -1) + 2000 + + 37 57 + - ---- z DATA(1, -1, -1) - ---- z DATA(2, 2, 2) - 1/250 z DATA(0, -1, 1) + 1000 2000 + + 39 31 + - 9/1000 z DATA(-1, 2, 2) - ---- z DATA(2, 1, 2) + ---- z DATA(1, 2, 2) + 2000 2000 + + 17 2 + - ---- z DATA(0, -1, 0) - 1/250 z DATA(1, -1, 0) + 1/160 y DATA(1, 2, 2) + 2000 + + 2 2 + - 3/160 y DATA(-1, 2, 1) - 3/160 y DATA(2, 1, 1) + + 2 2 + + 1/160 y DATA(1, 2, 1) - 1/160 y DATA(0, 2, 1) + + 2 2 + - 3/160 y DATA(-1, -1, 2) + 3/160 y DATA(2, 2, 1) + + 2 2 + + 1/160 y DATA(1, -1, 2) - 3/160 y DATA(2, 0, 2) + + 2 2 + + 1/160 y DATA(0, 0, 2) + 3/160 y DATA(-1, 0, 2) + + 2 2 + + 3/160 y DATA(2, -1, 2) - 1/160 y DATA(1, 1, 2) + + 2 2 + + 1/160 y DATA(0, 1, 2) + 3/160 y DATA(-1, 1, 2) + + 2 2 + - 1/160 y DATA(0, 2, -1) - 3/160 y DATA(-1, -1, 1) + + 2 2 + + 1/160 y DATA(1, -1, 1) + 3/160 y DATA(-1, 0, 1) + + 2 2 + + 3/160 y DATA(-1, 1, 1) + 1/160 y DATA(0, 0, -1) + + 2 2 + - 1/160 y DATA(1, 0, -1) + 3/160 y DATA(-1, 1, -1) + + 2 2 + + 1/160 y DATA(0, 1, -1) - 1/160 y DATA(1, 1, -1) + + 2 2 + - 3/160 y DATA(-1, -1, 0) - 3/160 y DATA(-1, -1, -1) + + 2 2 + - 1/160 y DATA(0, -1, -1) + 1/160 y DATA(1, -1, -1) + + 2 2 + + 3/160 y DATA(2, 2, 2) - 1/160 y DATA(0, -1, 1) + + 2 19 + - 3/160 y DATA(-1, 2, 2) - ---- y DATA(-1, 0, 2) + 2000 + + 27 + - 9/1000 y DATA(2, -1, 2) + ---- y DATA(1, 1, 2) - 1/1000 y DATA(0, 1, 2) + 2000 + + 13 111 + - 7/250 y DATA(-1, 1, 2) + ---- y DATA(0, 2, -1) + ---- y DATA(-1, -1, 1) + 1000 2000 + + 31 13 31 + - ---- y DATA(1, -1, 1) - ---- y DATA(-1, 0, 1) - ---- y DATA(-1, 1, 1) + 1000 2000 1000 + + 17 37 + - ---- y DATA(0, 0, -1) - 1/250 y DATA(1, 0, -1) - ---- y DATA(-1, 1, -1) + 2000 1000 + + 33 129 + - 1/250 y DATA(0, 1, -1) + ---- y DATA(1, 1, -1) + ---- y DATA(-1, -1, 0) + 2000 2000 + + 147 + + ---- y DATA(-1, -1, -1) - 1/2000 y DATA(0, -1, -1) + 2000 + + 37 57 49 + - ---- y DATA(1, -1, -1) - ---- y DATA(2, 2, 2) + ---- y DATA(2, 1, -1) + 1000 2000 2000 + + 19 + + 2/125 y DATA(2, 0, 0) - ---- y DATA(0, -1, 2) - 1/8 x DATA(0, -1, 2) + 2000 + + - 7/80 x DATA(0, 2, 2) + 3/40 x DATA(1, 0, 2) + 7/80 x DATA(-1, 0, -1) + + 11 + + 3/80 x DATA(2, -1, -1) - -- x DATA(0, 0, 0) + 1/20 x DATA(1, 0, 0) + 80 + + - 1/8 x DATA(0, 1, 0) + 1/16 x DATA(1, 1, 0) - 1/8 x DATA(0, 0, 1) + + 2 2 + + 1/40 x DATA(2, 0, -1) + 3/160 y DATA(2, 2, 0) + 3/160 y DATA(2, -1, 1) + + 2 + - 3/160 y DATA(2, 0, 1) + 1/80 x z DATA(1, -1, 0) + + + 1/80 x z DATA(0, -1, 0) - 3/80 x z DATA(1, 2, 2) + + + 3/80 x z DATA(2, 1, 2) - 3/80 x z DATA(2, 0, -1) + + 27 + + 1/1000 y z DATA(0, 1, 0) + ---- y z DATA(-1, 2, -1) + 1000 + + + 9/1000 y z DATA(2, 0, -1) - 3/80 x y DATA(-1, -1, 2) + + - 3/80 x y DATA(0, 2, 1) - 3/80 x y DATA(1, 2, 1) + + - 3/1000 y z DATA(1, 0, 2) + 1/80 x y DATA(2, 1, 0) + + - 3/80 x y DATA(-1, -1, -1) - 1/2000 y DATA(-1, 0, -1) + + 19 + - 9/250 y DATA(2, -1, -1) - ---- y DATA(0, 0, 0) - 3/1000 y DATA(1, 0, 0) + 2000 + + 31 21 + - 3/1000 y DATA(0, 1, 0) + ---- y DATA(1, 1, 0) - ---- y DATA(0, 0, 1) + 2000 2000 + + 29 + - 1/500 y DATA(1, 0, 1) - 1/500 y DATA(0, 1, 1) + ---- y DATA(1, 1, 1) + 2000 + + 49 + - 3/2000 y DATA(2, 2, -1) + ---- y DATA(1, 2, -1) + 2000 + + 27 43 + - 9/250 y DATA(-1, 2, -1) - ---- y DATA(2, -1, 0) + ---- y DATA(1, 2, 0) + 1000 2000 + + 27 43 + + 2/125 y DATA(0, 2, 0) - ---- y DATA(-1, 2, 0) + ---- y DATA(2, 1, 0) + 1000 2000 + + 21 19 + - ---- y DATA(2, 2, 0) - 9/500 y DATA(2, -1, 1) + ---- y DATA(2, 0, 1) + 2000 1000 + + 37 37 + - 9/500 y DATA(-1, 2, 1) + ---- y DATA(2, 1, 1) + ---- y DATA(1, 2, 1) + 2000 2000 + + 19 93 39 + + ---- y DATA(0, 2, 1) + ---- y DATA(-1, -1, 2) - ---- y DATA(2, 2, 1) + 1000 2000 2000 + + 11 23 + - 7/250 y DATA(1, -1, 2) + --- y DATA(2, 0, 2) - ---- y DATA(0, 0, 2) + 500 2000 + + + 1/80 x z DATA(2, 0, 1) + 1/80 x z DATA(2, -1, 1) + + + 3/80 x z DATA(-1, 2, 2) - 1/80 x z DATA(0, -1, 1) + + + 3/80 x z DATA(2, 2, 2) + 3/80 x z DATA(1, -1, -1) + + + 3/80 x z DATA(0, -1, -1) - 3/80 x z DATA(-1, -1, -1) + + - 1/80 x z DATA(-1, -1, 0) + 3/80 x z DATA(1, 1, -1) + + + 3/80 x y DATA(-1, 2, -1) + 3/80 x z DATA(0, 1, -1) + + - 3/80 x z DATA(-1, 1, -1) + 3/80 x z DATA(1, 0, -1) + + + 3/80 x z DATA(0, 0, -1) + 1/80 x z DATA(-1, 1, 1) + + + 1/80 x z DATA(-1, 0, 1) - 1/80 x z DATA(1, -1, 1) + + + 1/80 x z DATA(-1, -1, 1) + 3/80 x z DATA(0, 2, -1) + + - 1/80 x z DATA(-1, 1, 0) - 1/80 x z DATA(-1, 0, 0) + + - 3/1000 y z DATA(1, 2, 0) + 3/1000 y z DATA(1, 2, 1) + + + 3/80 x y DATA(-1, 2, 2) + 1/80 x y DATA(0, 0, -1) + + + 3/80 x y DATA(-1, 2, 0) - 1/80 x y DATA(2, 0, 0) + + 27 + + ---- y z DATA(2, -1, -1) - 3/80 x y DATA(2, -1, 2) + 1000 + + - 9/1000 y z DATA(2, -1, 1) + 9/1000 y z DATA(2, -1, 0) + + 27 + + ---- y z DATA(-1, -1, 2) - 1/80 x y DATA(2, 0, 1) + 1000 + + + 9/1000 y z DATA(0, -1, 2) - 3/80 x y DATA(-1, -1, 0) + + + 1/80 x y DATA(-1, 1, 1) + 3/1000 y z DATA(0, 1, -1) + + + 9/1000 y z DATA(-1, 1, -1) + 3/1000 y z DATA(1, 0, -1) + + - 3/1000 y z DATA(0, 0, -1) - 3/1000 y z DATA(-1, 1, 1) + + + 3/1000 y z DATA(-1, 0, 1) - 3/1000 y z DATA(1, -1, 1) + + + 9/1000 y z DATA(-1, -1, 1) + 9/1000 y z DATA(0, 2, -1) + + - 9/1000 y z DATA(-1, 1, 2) - 3/1000 y z DATA(0, 1, 2) + + + 3/1000 y z DATA(1, 1, 2) - 3/80 x y DATA(2, -1, 0) + + 27 + - ---- y z DATA(2, -1, 2) + 9/1000 y z DATA(-1, 0, 2) + 1000 + + + 3/1000 y z DATA(0, 0, 2) - 1/80 x y DATA(-1, 0, 2) + + 13 11 + + 1/80 x y DATA(2, 1, -1) + ---- y DATA(2, 0, -1) + --- y DATA(0, 2, 2) + 1000 500 + + - 1/1000 y DATA(1, 0, 2) - 3/80 x y DATA(-1, -1, 1) + + 2 2 2 + + 1/160 z DATA(0, 0, 0) - 1/160 z DATA(1, 0, 0) + 1/160 z DATA(0, 1, 0) + + 2 2 2 + - 1/160 z DATA(1, 1, 0) + 1/160 z DATA(0, 0, 1) - 1/160 z DATA(1, 0, 1) + + 2 2 + + 1/160 z DATA(0, 1, 1) - 1/160 z DATA(1, 1, 1) - 1/10 x DATA(0, 1, 2) + + + 3/80 x DATA(-1, 1, 2) - 1/8 x DATA(0, 2, -1) + 3/40 x DATA(-1, -1, 1) + + + 1/20 x DATA(1, -1, 1) + 1/16 x DATA(-1, 0, 1) + 1/20 x DATA(-1, 1, 1) + + - 3/20 x DATA(0, 0, -1) + 3/80 x DATA(1, 0, -1) + 3/40 x DATA(-1, 1, -1) + + 11 + - -- x DATA(0, 1, -1) + 1/20 x DATA(1, 1, -1) + 7/80 x DATA(-1, -1, 0) + 80 + + 13 31 + - ---- y DATA(0, -1, 1) - 9/1000 y DATA(-1, 2, 2) + ---- y DATA(2, 1, 2) + 2000 2000 + + 31 17 + + ---- y DATA(1, 2, 2) - 7/2000 y DATA(0, -1, 0) - --- y DATA(1, -1, 0) + 2000 500 + + 17 2 + - 7/2000 y DATA(-1, 0, 0) - --- y DATA(-1, 1, 0) + 3/160 z DATA(2, 0, -1) + 500 + + 2 2 + - 1/160 z DATA(0, -1, 2) - 1/160 z DATA(0, 2, 2) + + 2 2 + + 1/160 z DATA(1, 0, 2) - 3/160 z DATA(-1, 0, -1) + + 2 + + 3/160 z DATA(2, -1, -1) - 1/1000 y z DATA(0, 1, 1) + + 2 2 + + 3/80 x y DATA(1, -1, 0) + 1/32 x DATA(2, -1, 1) + 1/32 x DATA(2, 0, 1) + + 2 + - 1/32 x DATA(-1, 2, 1) + 1/16 x DATA(1, 0, 1) - 9/80 x DATA(0, 1, 1) + + + 3/40 x DATA(1, 1, 1) + 1/16 x DATA(1, 2, -1) + 1/16 x DATA(-1, 2, -1) + + + 1/80 x DATA(2, 1, -1) + 1/80 x DATA(2, 0, 0) + 1/40 x DATA(2, -1, 0) + + + 3/40 x DATA(1, 2, 0) - 9/80 x DATA(0, 2, 0) + 1/20 x DATA(-1, 2, 0) + + - 1/80 x DATA(2, 2, 0) + 1/80 x DATA(2, -1, 1) + 3/80 x DATA(-1, 2, 1) + + - 1/80 x DATA(2, 1, 1) + 7/80 x DATA(1, 2, 1) - 1/10 x DATA(0, 2, 1) + + + 1/16 x DATA(-1, -1, 2) - 1/40 x DATA(2, 2, 1) + 1/16 x DATA(1, -1, 2) + + - 1/80 x DATA(2, 0, 2) - 9/80 x DATA(0, 0, 2) + 1/20 x DATA(-1, 0, 2) + + + 7/80 x DATA(1, 1, 2) + 3/80 x DATA(1, -1, 0) + 3/40 x DATA(-1, 0, 0) + + 2 2 + + 1/16 x DATA(-1, 1, 0) + 1/32 x DATA(2, 0, -1) + 3/32 x DATA(0, -1, 2) + + 2 2 2 + + 3/32 x DATA(0, 2, 2) - 3/32 x DATA(1, 0, 2) - 1/32 x DATA(-1, 0, -1) + + 2 2 2 + + 1/32 x DATA(2, -1, -1) + 3/32 x DATA(0, 0, 0) - 3/32 x DATA(1, 0, 0) + + 2 2 2 + + 3/32 x DATA(0, 1, 0) - 3/32 x DATA(1, 1, 0) + 3/32 x DATA(0, 0, 1) + + 2 2 2 + - 3/32 x DATA(1, 0, 1) + 3/32 x DATA(0, 1, 1) - 3/32 x DATA(1, 1, 1) + + 2 2 + + 1/32 x DATA(2, 2, -1) - 3/32 x DATA(1, 2, -1) + + 2 2 2 + - 1/32 x DATA(-1, 2, -1) + 1/32 x DATA(2, 1, -1) + 1/32 x DATA(2, 0, 0) + + 2 2 2 + + 1/32 x DATA(2, -1, 0) - 3/32 x DATA(1, 2, 0) + 3/32 x DATA(0, 2, 0) + + 2 2 2 + - 1/32 x DATA(-1, 2, 0) + 1/32 x DATA(2, 1, 0) + 1/32 x DATA(2, 2, 0) + + - 1/80 x y DATA(0, 1, 2) + 9/1000 y z DATA(2, 2, 1) + + + 1/80 x y DATA(-1, 1, 0) + 1/80 x y DATA(1, 0, 0) + + - 3/80 x y DATA(1, 2, -1) - 9/1000 y z DATA(2, 0, 2) + + - 9/1000 y z DATA(1, -1, 2) - 3/80 x y DATA(0, 2, -1) + + 27 + + 1/80 x y DATA(2, 1, 2) - ---- y z DATA(2, 2, -1) + 1000 + + + 3/80 x y DATA(1, -1, -1) - 1/1000 y z DATA(1, 1, 0) + + + 3/80 x y DATA(1, -1, 2) - 3/80 x y DATA(0, 2, 0) + + + 3/80 x y DATA(2, 2, 0) + 3/80 x y DATA(0, -1, 2) + + - 3/1000 y z DATA(2, 1, 0) - 3/80 x z DATA(0, 2, 2) + + - 3/80 x z DATA(0, -1, 2) + 3/1000 y z DATA(-1, 1, 0) + + - 3/1000 y z DATA(-1, 0, 0) + 3/1000 y z DATA(1, -1, 0) + + - 3/1000 y z DATA(0, -1, 0) + 9/1000 y z DATA(1, 2, 2) + + + 1/80 x y DATA(-1, 1, 2) + 9/1000 y z DATA(2, 1, 2) + + 27 + - ---- y z DATA(-1, 2, 2) + 3/1000 y z DATA(0, -1, 1) + 1000 + + 27 + + ---- y z DATA(2, 2, 2) + 9/1000 y z DATA(1, -1, -1) + 1000 + + 27 + - 9/1000 y z DATA(0, -1, -1) - ---- y z DATA(-1, -1, -1) + 1000 + + - 3/80 x y DATA(1, 2, 0) - 9/1000 y z DATA(-1, -1, 0) + + - 3/1000 y z DATA(1, 1, -1) - 1/80 x z DATA(2, 2, 0) + + - 1/80 x z DATA(2, 1, 0) - 1/80 x z DATA(-1, 2, 0) + + + 1/80 x z DATA(0, 2, 0) + 1/80 x z DATA(1, 2, 0) + + - 1/80 x z DATA(2, -1, 0) - 1/80 x z DATA(2, 0, 0) + + - 3/80 x z DATA(2, 1, -1) - 3/80 x z DATA(-1, 2, -1) + + + 3/80 x z DATA(1, 2, -1) - 3/80 x z DATA(2, 2, -1) + + - 1/80 x z DATA(1, 1, 1) - 1/80 x z DATA(0, 1, 1) - 1/80 x z DATA(1, 0, 1) + + - 1/80 x z DATA(0, 0, 1) + 1/80 x z DATA(1, 1, 0) + 1/80 x z DATA(0, 1, 0) + + + 1/80 x z DATA(1, 0, 0) + 1/80 x z DATA(0, 0, 0) + + - 3/80 x z DATA(2, -1, -1) - 3/80 x z DATA(-1, 0, -1) + + - 3/80 x z DATA(1, 0, 2) + 3/80 x z DATA(-1, 1, 2) + + + 1/80 x y DATA(-1, 1, -1) - 1/80 x y DATA(1, 1, -1) + + - 3/80 x z DATA(0, 1, 2) - 3/80 x z DATA(1, 1, 2) + + + 3/80 x z DATA(2, -1, 2) + 3/80 x z DATA(-1, 0, 2) + + - 3/80 x z DATA(0, 0, 2) + 3/80 x y DATA(0, -1, -1) + + + 3/80 x z DATA(2, 0, 2) - 3/80 x z DATA(1, -1, 2) + + + 1/80 x z DATA(2, 2, 1) + 3/80 x z DATA(-1, -1, 2) + + - 1/80 x z DATA(0, 2, 1) - 1/80 x z DATA(1, 2, 1) + 1/80 x z DATA(2, 1, 1) + + + 1/80 x z DATA(-1, 2, 1) + 3/1000 y z DATA(2, 1, 1) + + - 1/80 x y DATA(-1, 0, 1) - 9/1000 y z DATA(-1, 2, 1) + + - 1/80 x y DATA(1, 1, 2) + 3/80 x y DATA(1, -1, 1) + + + 1/80 x y DATA(2, 1, 1) - 1/80 x y DATA(2, 0, 2) + 3/80 x y DATA(2, 2, 2) + + - 3/1000 y z DATA(2, 0, 1) + 9/1000 y z DATA(-1, 2, 0) + + + 3/80 x y DATA(0, -1, 1) - 9/1000 y z DATA(2, 1, -1) + + + 3/1000 y z DATA(0, 2, 0) + 1/80 x y DATA(0, 0, 1) + + - 1/1000 y z DATA(0, 0, 0) + 1/1000 y z DATA(1, 0, 0) + + - 1/80 x y DATA(0, 1, -1) + 3/80 x y DATA(-1, 2, 1) + + - 1/80 x y DATA(0, 1, 1) + 3/1000 y z DATA(2, 0, 0) + + - 3/80 x y DATA(2, -1, 1) - 9/1000 y z DATA(1, 2, -1) + + - 1/80 x y DATA(1, 1, 1) - 1/1000 y z DATA(1, 0, 1) + + - 3/80 x y DATA(0, 2, 2) + 1/80 x y DATA(1, 0, 2) - 1/80 x y DATA(0, 1, 0) + + - 3/80 x y DATA(2, -1, -1) - 1/80 x y DATA(-1, 0, -1) + + + 3/80 x y DATA(2, 2, -1) + 1/80 x y DATA(0, 0, 0) + + + 1/80 x y DATA(0, 0, 2) + +> coeffs_as_lc_of_data(%, posn_list_3d_size4); +bytes used=284745840, alloc=3669344, time=25.69 +bytes used=285767320, alloc=3669344, time=25.76 +bytes used=286767472, alloc=3669344, time=25.83 +bytes used=287775320, alloc=3669344, time=25.91 +bytes used=288801048, alloc=3734868, time=25.98 +bytes used=289805460, alloc=3865916, time=26.06 +bytes used=290805808, alloc=4259060, time=26.14 +bytes used=291810404, alloc=4652204, time=26.21 + 2 147 147 +[COEFF(-1, -1, -1) = - 1/32 x + ---- y - 3/80 x z + 1/10 x + ---- z - 3/80 x y + 2000 2000 + + 2 27 2 47 39 + - 3/160 z - ---- y z - 3/160 y - ----, COEFF(0, -1, -1) = - ---- + 1000 1500 4000 + + 2 2 13 + - 1/2000 y - 1/160 z - 9/1000 y z - 1/2000 z + 3/80 x z + 3/32 x - -- x + 80 + + 2 2 157 2 + + 3/80 x y - 1/160 y , COEFF(1, -1, -1) = - 3/32 x + ---- + 1/160 y + 2000 + + 37 2 37 + + 3/80 x z - ---- y + 3/80 x y + 1/160 z + 9/1000 y z + 1/40 x - ---- z, + 1000 1000 + + 2 27 + COEFF(2, -1, -1) = - 3/80 x z + 1/32 x + ---- y z - 9/250 y - 3/80 x y + 1000 + + 2 449 2 + + 3/160 y + 3/80 x - 9/250 z - ----- + 3/160 z , COEFF(-1, 0, -1) = + 12000 + + 2 607 129 + 7/80 x - 1/32 x - 9/1000 y z - 1/80 x y - ----- - 3/80 x z + ---- z + 12000 2000 + + 2 2 2 + + 3/160 y - 1/2000 y - 3/160 z , COEFF(0, 0, -1) = 3/80 x z + 1/160 y + + 2 17 2 49 + - 1/160 z - 3/20 x - ---- y + 3/32 x - 7/2000 z - ---- - 3/1000 y z + 2000 2000 + + 2 + + 1/80 x y, COEFF(1, 0, -1) = 3/80 x - 3/32 x + 3/1000 y z + 1/80 x y + + 17 2 2 323 + - --- z - 1/250 y - 1/160 y + 1/160 z + 3/80 x z + ----, COEFF(2, 0, -1) + 500 4000 + + 17 27 13 2 + = - ---- - ---- z + 1/40 x - 1/80 x y + ---- y + 9/1000 y z + 3/160 z + 3000 1000 1000 + + 2 2 97 + - 3/160 y - 3/80 x z + 1/32 x , COEFF(-1, 1, -1) = - ---- + 3/40 x + 3000 + + 111 37 2 2 2 + + ---- z + 9/1000 y z - ---- y + 3/160 y - 3/160 z - 1/32 x + 1/80 x y + 2000 1000 + + 107 13 11 + - 3/80 x z, COEFF(0, 1, -1) = - ---- - ---- z - -- x + 3/1000 y z + 4000 2000 80 + + 2 2 2 + + 3/80 x z - 1/160 z + 1/160 y - 1/250 y - 1/80 x y + 3/32 x , + + 141 31 33 2 + COEFF(1, 1, -1) = ---- + 3/80 x z - ---- z - 3/1000 y z + ---- y - 3/32 x + 2000 1000 2000 + + 2 2 + - 1/80 x y + 1/20 x + 1/160 z - 1/160 y , COEFF(2, 1, -1) = 1/80 x y + + 137 2 2 2 49 + - ----- - 3/160 y - 9/500 z + 3/160 z - 9/1000 y z + 1/32 x + ---- y + 12000 2000 + + - 3/80 x z + 1/80 x, COEFF(-1, 2, -1) = 1/16 x - 9/250 y - 3/80 x z + + 2 281 2 2 93 27 + - 3/160 z + ----- - 1/32 x + 3/80 x y - 3/160 y + ---- z + ---- y z, + 12000 2000 1000 + + 2 2 33 + COEFF(0, 2, -1) = - 1/160 z + 3/80 x z - 3/80 x y + 3/32 x - ---- - 1/8 x + 2000 + + 13 2 19 + + 9/1000 y z + ---- y - 1/160 y - ---- z, COEFF(1, 2, -1) = 3/80 x z + 1000 2000 + + 191 2 2 + - 9/1000 y z + ---- - 3/32 x + 1/16 x + 1/160 z - 3/80 x y - 7/250 z + 4000 + + 2 49 27 2 41 + + 1/160 y + ---- y, COEFF(2, 2, -1) = - ---- y z + 3/160 z - --- + 2000 1000 750 + + 2 2 + - 3/80 x z - 9/1000 z + 1/32 x - 3/2000 y + 3/160 y + 3/80 x y, + + 2 129 607 + COEFF(-1, -1, 0) = - 1/32 x - 1/80 x z - 9/1000 y z + ---- y - ----- + 2000 12000 + + 2 2 + - 1/2000 z + 3/160 z - 3/160 y + 7/80 x - 3/80 x y, COEFF(0, -1, 0) = + + 2 2 + 1/80 x z - 7/2000 y + 3/80 x y - 3/20 x - 3/1000 y z - 1/160 y + 1/160 z + + 17 2 49 2 2 + - ---- z + 3/32 x - ----, COEFF(1, -1, 0) = - 1/160 z + 1/160 y + 2000 2000 + + 17 323 + - 1/250 z + 3/1000 y z + 3/80 x + 3/80 x y - --- y + ---- + 1/80 x z + 500 4000 + + 2 2 + - 3/32 x , COEFF(2, -1, 0) = - 3/80 x y + 1/32 x + 1/40 x + 9/1000 y z + + 27 2 17 2 13 + - ---- y - 3/160 z - 1/80 x z - ---- + 3/160 y + ---- z, COEFF(-1, 0, 0) + 1000 3000 1000 + + 2 2 437 2 + = 3/160 y - 7/2000 z + 3/160 z - ---- - 1/80 x z + 3/40 x - 1/32 x + 6000 + + 2 161 11 + - 7/2000 y - 3/1000 y z - 1/80 x y, COEFF(0, 0, 0) = 3/32 x - ---- - -- x + 4000 80 + + 19 2 2 19 + + 1/80 x y - ---- z + 1/160 y + 1/160 z - ---- y - 1/1000 y z + 1/80 x z + 2000 2000 + + 2 2 21 + , COEFF(1, 0, 0) = 1/1000 y z - 3/32 x - 1/160 y + --- + 1/80 x y + 250 + + 2 + + 1/80 x z - 1/160 z - 3/1000 y + 1/20 x - 3/1000 z, COEFF(2, 0, 0) = + + 2 2 2 + - 1/80 x z + 1/80 x - 3/160 y - 3/160 z + 2/125 y - 1/80 x y + 1/32 x + + 349 + + ----- + 3/1000 y z + 2/125 z, COEFF(-1, 1, 0) = 1/16 x - 1/80 x z + 12000 + + 2 2 2 13 17 + + 3/1000 y z + 3/160 z - 1/32 x + 1/80 x y + 3/160 y - ---- z - --- y + 2000 500 + + 691 21 2 2 + - -----, COEFF(0, 1, 0) = - ---- z + 1/160 z + 3/32 x - 1/80 x y + 12000 2000 + + 2 87 + + 1/160 y - ---- - 1/8 x - 3/1000 y + 1/80 x z + 1/1000 y z, + 2000 + + 31 299 2 2 + COEFF(1, 1, 0) = ---- y - 1/1000 y z - 1/500 z + ---- - 3/32 x - 1/160 y + 2000 4000 + + 2 43 + - 1/160 z + 1/80 x z - 1/80 x y + 1/16 x, COEFF(2, 1, 0) = ---- y + 2000 + + 2 2 19 2 79 + + 1/32 x - 1/80 x z - 3/160 y + ---- z - 3/160 z + ---- - 3/1000 y z + 1000 3000 + + 2 2 + + 1/80 x y, COEFF(-1, 2, 0) = - 1/80 x z + 3/80 x y - 3/160 y + 3/160 z + + 2 27 19 29 + - 1/32 x + 9/1000 y z - ---- y + 1/20 x - ---- z - ----, COEFF(0, 2, 0) + 1000 2000 6000 + + 2 2 + = - 9/80 x + 3/1000 y z + 3/32 x - 1/160 y + 2/125 y - 3/80 x y + + 2 23 137 53 + + 1/160 z - ---- z - ---- + 1/80 x z, COEFF(1, 2, 0) = 3/40 x + ---- + 2000 4000 1000 + + 2 2 43 + - 1/160 z - 3/32 x - 3/1000 y z + ---- y - 3/80 x y + 1/80 x z + 2000 + + 2 2 167 + - 1/1000 z + 1/160 y , COEFF(2, 2, 0) = 1/32 x - 9/1000 y z - ----- + 12000 + + 11 2 21 2 + + --- z + 3/160 y - ---- y - 1/80 x z - 3/160 z - 1/80 x + 3/80 x y, + 500 2000 + + 2 2 97 + COEFF(-1, -1, 1) = - 3/160 y + 9/1000 y z + 3/40 x - 1/32 x - ---- + 3000 + + 2 111 37 + + 3/160 z - 3/80 x y + 1/80 x z + ---- y - ---- z, COEFF(0, -1, 1) = + 2000 1000 + + 107 2 2 13 11 + 3/1000 y z + 3/80 x y - ---- + 3/32 x + 1/160 z - ---- y - -- x + 4000 2000 80 + + 2 + - 1/160 y - 1/80 x z - 1/250 z, COEFF(1, -1, 1) = - 1/80 x z + 3/80 x y + + 2 33 2 31 2 + + 1/160 y + ---- z - 3/1000 y z - 1/160 z + 1/20 x - ---- y - 3/32 x + 2000 1000 + + 141 2 2 + + ----, COEFF(2, -1, 1) = - 3/160 z + 1/32 x + 1/80 x z - 9/500 y + 2000 + + 49 2 137 + - 3/80 x y + 1/80 x + ---- z + 3/160 y - 9/1000 y z - -----, + 2000 12000 + + 2 17 691 13 + COEFF(-1, 0, 1) = 3/160 z - --- z - 1/80 x y - ----- + 1/16 x - ---- y + 500 12000 2000 + + 2 2 87 + + 3/1000 y z + 3/160 y - 1/32 x + 1/80 x z, COEFF(0, 0, 1) = - ---- + 2000 + + 2 2 21 + + 1/160 y + 3/32 x + 1/1000 y z - ---- y - 3/1000 z + 1/80 x y - 1/8 x + 2000 + + 2 2 + + 1/160 z - 1/80 x z, COEFF(1, 0, 1) = 1/80 x y - 1/80 x z - 1/160 y + + 2 2 31 299 + - 1/1000 y z - 1/160 z - 3/32 x - 1/500 y + 1/16 x + ---- z + ----, + 2000 4000 + + 2 79 19 43 + COEFF(2, 0, 1) = - 3/160 y + ---- - 3/1000 y z + ---- y + ---- z + 3000 1000 2000 + + 2 2 17 + - 1/80 x y + 1/32 x - 3/160 z + 1/80 x z, COEFF(-1, 1, 1) = - --- + 375 + + 31 2 2 2 + - ---- z + 1/20 x - 1/32 x + 3/160 z + 1/80 x z + 3/160 y + 1/80 x y + 1000 + + 31 191 2 2 + - 3/1000 y z - ---- y, COEFF(0, 1, 1) = - ---- + 1/160 z + 3/32 x + 1000 4000 + + 2 + + 1/160 y - 1/80 x z - 9/80 x - 1/500 z - 1/500 y - 1/80 x y - 1/1000 y z + + 29 2 2 + , COEFF(1, 1, 1) = ---- z - 1/160 y + 1/1000 y z - 1/80 x z - 3/32 x + 2000 + + 133 2 29 319 + + ---- - 1/160 z + 3/40 x + ---- y - 1/80 x y, COEFF(2, 1, 1) = ----- + 2000 2000 12000 + + 2 37 37 2 + - 3/160 z - 1/80 x + ---- z + ---- y + 1/80 x y + 1/80 x z + 1/32 x + 2000 2000 + + 2 53 2 + + 3/1000 y z - 3/160 y , COEFF(-1, 2, 1) = ----- - 3/160 y - 9/500 y + 12000 + + 2 2 + + 3/80 x y - 9/1000 y z - 7/250 z + 3/80 x - 1/32 x + 3/160 z + 1/80 x z + + 2 79 19 + , COEFF(0, 2, 1) = - 1/160 y - ---- - 1/1000 z + ---- y - 1/80 x z + 2000 1000 + + 2 2 + + 1/160 z - 3/1000 y z + 3/32 x - 1/10 x - 3/80 x y, COEFF(1, 2, 1) = + + 183 2 27 + 7/80 x - 3/80 x y + ---- - 1/80 x z - 3/32 x + ---- z + 3/1000 y z + 4000 2000 + + 2 37 2 39 + + 1/160 y + ---- y - 1/160 z , COEFF(2, 2, 1) = 9/1000 y z - ---- y + 2000 2000 + + 2 31 2 + + 1/32 x + 3/80 x y - 4/375 + ---- z - 1/40 x - 3/160 z + 1/80 x z + 2000 + + 2 281 + + 3/160 y , COEFF(-1, -1, 2) = 1/16 x + ----- - 3/80 x y - 9/250 z + 12000 + + 2 27 93 2 2 + - 3/160 y + ---- y z + ---- y - 3/160 z - 1/32 x + 3/80 x z, + 1000 2000 + + 19 2 13 33 + COEFF(0, -1, 2) = - ---- y - 1/160 y + ---- z - ---- + 9/1000 y z + 2000 1000 2000 + + 2 2 + - 1/160 z + 3/80 x y - 1/8 x - 3/80 x z + 3/32 x , COEFF(1, -1, 2) = + + 2 2 2 191 + 1/160 y - 9/1000 y z - 3/80 x z + 1/160 z + 1/16 x - 3/32 x + ---- + 4000 + + 49 2 27 + + ---- z - 7/250 y + 3/80 x y, COEFF(2, -1, 2) = 3/160 y - ---- y z + 2000 1000 + + 2 2 41 + - 3/80 x y - 9/1000 y + 1/32 x - 3/2000 z + 3/160 z - --- + 3/80 x z, + 750 + + 19 2 29 27 + COEFF(-1, 0, 2) = - ---- y - 1/80 x y + 3/160 y - ---- - ---- z + 2000 6000 1000 + + 2 2 + + 9/1000 y z + 3/80 x z + 1/20 x - 3/160 z - 1/32 x , COEFF(0, 0, 2) = + + 2 2 23 2 + - 1/160 z + 3/32 x + 1/80 x y - ---- y - 3/80 x z + 1/160 y + 2/125 z + 2000 + + 137 + - 9/80 x - ---- + 3/1000 y z, COEFF(1, 0, 2) = - 3/80 x z - 1/1000 y + 4000 + + 2 43 2 2 53 + + 3/40 x - 1/160 y + 1/80 x y + ---- z - 3/32 x + 1/160 z + ---- + 2000 1000 + + 21 2 11 167 + - 3/1000 y z, COEFF(2, 0, 2) = - ---- z - 3/160 y + --- y - ----- + 2000 500 12000 + + 2 2 + + 3/160 z - 1/80 x y + 1/32 x - 9/1000 y z - 1/80 x + 3/80 x z, + + 2 53 + COEFF(-1, 1, 2) = - 1/32 x + 1/80 x y + ----- - 7/250 y - 9/1000 y z + 12000 + + 2 2 + + 3/80 x - 3/160 z + 3/160 y - 9/500 z + 3/80 x z, COEFF(0, 1, 2) = + + 2 19 2 2 + 3/32 x + ---- z - 3/80 x z - 1/160 z + 1/160 y - 3/1000 y z - 1/10 x + 1000 + + 79 27 2 + - 1/1000 y - 1/80 x y - ----, COEFF(1, 1, 2) = ---- y + 1/160 z + 2000 2000 + + 2 183 2 + - 1/80 x y - 1/160 y + ---- + 7/80 x - 3/80 x z + 3/1000 y z - 3/32 x + 4000 + + 37 2 + + ---- z, COEFF(2, 1, 2) = 1/80 x y - 3/160 y + 3/80 x z - 1/40 x + 2000 + + 2 39 2 31 + + 1/32 x + 9/1000 y z - 4/375 - ---- z + 3/160 z + ---- y, + 2000 2000 + + 307 27 2 + COEFF(-1, 2, 2) = 1/40 x - 9/1000 z + ---- - ---- y z - 3/160 y + 3/80 x z + 6000 1000 + + 2 2 11 11 + - 1/32 x - 3/160 z + 3/80 x y - 9/1000 y, COEFF(0, 2, 2) = --- z + --- y + 500 500 + + 129 2 2 + - 3/80 x y - 7/80 x - ---- - 1/160 y - 3/80 x z + 3/32 x - 9/1000 y z + 4000 + + 2 2 2 13 + - 1/160 z , COEFF(1, 2, 2) = 1/160 z + 1/160 y + --- + 1/10 x - 3/80 x y + 500 + + 31 2 31 + + ---- z - 3/32 x - 3/80 x z + ---- y + 9/1000 y z, COEFF(2, 2, 2) = + 2000 2000 + + 539 2 57 2 27 + - ----- - 3/80 x + 3/80 x z + 3/160 z - ---- y + 3/160 y + ---- y z + 12000 2000 1000 + + 57 2 + - ---- z + 3/80 x y + 1/32 x ] + 2000 + +> print_coeffs__lc_of_data(%, "coeffs_dx->coeff_", "fp", +> "3d.coeffs/3d.cube.order3.smooth0/coeffs-dx.compute.c"); +bytes used=292810948, alloc=4652204, time=26.30 +bytes used=293811480, alloc=4652204, time=26.37 +bytes used=294811812, alloc=4652204, time=26.45 +bytes used=295812060, alloc=4652204, time=26.64 +bytes used=296812352, alloc=4652204, time=26.72 +bytes used=297815692, alloc=4652204, time=26.80 +bytes used=298832252, alloc=4652204, time=26.88 +bytes used=299864124, alloc=4652204, time=26.97 +bytes used=300882368, alloc=4652204, time=27.08 +bytes used=301889296, alloc=4652204, time=27.20 +bytes used=302889456, alloc=4652204, time=27.43 +bytes used=303889636, alloc=4652204, time=27.64 +bytes used=304890472, alloc=4652204, time=27.71 +bytes used=305890652, alloc=4652204, time=27.78 +bytes used=306891144, alloc=4652204, time=27.84 +bytes used=307891400, alloc=4652204, time=27.90 +bytes used=308893396, alloc=4652204, time=28.01 +bytes used=309898640, alloc=4652204, time=28.13 +bytes used=310898972, alloc=4652204, time=28.25 +bytes used=311910600, alloc=4652204, time=28.39 +bytes used=312913328, alloc=4652204, time=28.54 +bytes used=313924952, alloc=4652204, time=28.64 +bytes used=314925104, alloc=4652204, time=28.74 +bytes used=315930264, alloc=4652204, time=29.08 +bytes used=316930580, alloc=4652204, time=29.28 +bytes used=317930840, alloc=4652204, time=29.35 +bytes used=318931300, alloc=4652204, time=29.42 +bytes used=319931608, alloc=4652204, time=29.49 +bytes used=320931784, alloc=4652204, time=29.60 +bytes used=321941056, alloc=4652204, time=29.77 +bytes used=322941300, alloc=4652204, time=29.87 +bytes used=323943068, alloc=4652204, time=30.29 +bytes used=324943276, alloc=4652204, time=30.46 +bytes used=325943724, alloc=4652204, time=30.53 +bytes used=326943892, alloc=4652204, time=30.60 +bytes used=327944120, alloc=4652204, time=30.67 +bytes used=328944364, alloc=4652204, time=30.85 +bytes used=329944540, alloc=4652204, time=31.18 +bytes used=330944728, alloc=4652204, time=31.43 +bytes used=331945168, alloc=4652204, time=31.50 +bytes used=332945368, alloc=4652204, time=31.56 +bytes used=333945528, alloc=4652204, time=31.71 +bytes used=334945752, alloc=4652204, time=31.83 +bytes used=335946416, alloc=4652204, time=32.33 +bytes used=336947040, alloc=4652204, time=32.41 +bytes used=337947272, alloc=4652204, time=32.52 +> +# d/dy +> simplify( diff(interp_3d_cube_order3_smooth0,y) ); +bytes used=338947896, alloc=4652204, time=32.62 +bytes used=339949152, alloc=4652204, time=32.69 +bytes used=340950072, alloc=4652204, time=32.76 +bytes used=341950248, alloc=4652204, time=32.84 +bytes used=342951444, alloc=4652204, time=32.91 +bytes used=343952068, alloc=4652204, time=32.98 +bytes used=344952348, alloc=4652204, time=33.05 +bytes used=345952568, alloc=4652204, time=33.12 + 17 33 29 +- ---- DATA(0, 2, -1) - ---- DATA(2, 0, -1) - ---- DATA(0, -1, 2) + 3000 2000 6000 + + 167 79 39 + - ----- DATA(0, 2, 2) - ---- DATA(1, 0, 2) - ---- DATA(-1, 0, -1) + 12000 2000 4000 + + 281 161 87 + + ----- DATA(2, -1, -1) - ---- DATA(0, 0, 0) - ---- DATA(1, 0, 0) + 12000 4000 2000 + + 21 299 87 + + --- DATA(0, 1, 0) + ---- DATA(1, 1, 0) - ---- DATA(0, 0, 1) + 250 4000 2000 + + 191 299 133 + - ---- DATA(1, 0, 1) + ---- DATA(0, 1, 1) + ---- DATA(1, 1, 1) + 4000 4000 2000 + + 41 137 449 + - --- DATA(2, 2, -1) - ----- DATA(1, 2, -1) - ----- DATA(-1, 2, -1) + 750 12000 12000 + + 191 137 29 + + ---- DATA(2, 1, -1) - ---- DATA(2, 0, 0) - ---- DATA(2, -1, 0) + 4000 4000 6000 + + 79 349 17 + + ---- DATA(1, 2, 0) + ----- DATA(0, 2, 0) - ---- DATA(-1, 2, 0) + 3000 12000 3000 + + 53 167 53 + + ---- DATA(2, 1, 0) - ----- DATA(2, 2, 0) + ----- DATA(2, -1, 1) + 1000 12000 12000 + + 79 137 183 + - ---- DATA(2, 0, 1) - ----- DATA(-1, 2, 1) + ---- DATA(2, 1, 1) + 2000 12000 4000 + + 319 79 281 + + ----- DATA(1, 2, 1) + ---- DATA(0, 2, 1) + ----- DATA(-1, -1, 2) + 12000 3000 12000 + + 53 129 + - 4/375 DATA(2, 2, 1) + ----- DATA(1, -1, 2) - ---- DATA(2, 0, 2) + 12000 4000 + + 137 33 307 + - ---- DATA(0, 0, 2) - ---- DATA(-1, 0, 2) + ---- DATA(2, -1, 2) + 4000 2000 6000 + + 183 53 191 + + ---- DATA(1, 1, 2) + ---- DATA(0, 1, 2) + ---- DATA(-1, 1, 2) + 4000 1000 4000 + + 41 13 + - --- DATA(-1, 2, 2) + --- DATA(2, 1, 2) - 4/375 DATA(1, 2, 2) + 750 500 + + 437 691 49 + - ---- DATA(0, -1, 0) - ----- DATA(1, -1, 0) - ---- DATA(-1, 0, 0) + 6000 12000 2000 + + 323 97 691 + + ---- DATA(-1, 1, 0) - ---- DATA(-1, -1, 1) - ----- DATA(0, -1, 1) + 4000 3000 12000 + + 17 107 141 + - --- DATA(1, -1, 1) - ---- DATA(-1, 0, 1) + ---- DATA(-1, 1, 1) + 375 4000 2000 + + 49 107 157 + - ---- DATA(0, 0, -1) - ---- DATA(1, 0, -1) + ---- DATA(-1, 1, -1) + 2000 4000 2000 + + 323 141 607 + + ---- DATA(0, 1, -1) + ---- DATA(1, 1, -1) - ----- DATA(-1, -1, 0) + 4000 2000 12000 + + 47 607 97 + - ---- DATA(-1, -1, -1) - ----- DATA(0, -1, -1) - ---- DATA(1, -1, -1) + 1500 12000 3000 + + 539 + - ----- DATA(2, 2, 2) - 3/2000 x DATA(2, 2, -1) - 9/1000 x DATA(2, -1, 2) + 12000 + + 43 19 + + ---- x DATA(2, 1, 0) + ---- x DATA(2, 0, 1) - 1/80 x y DATA(1, 1, 0) + 2000 1000 + + - 1/80 y z DATA(0, 0, 1) + 3/80 x y DATA(2, 2, 1) + 1/80 y z DATA(0, 2, 1) + + + 3/80 y z DATA(0, 2, 2) + 3/80 x y DATA(-1, 0, 0) + + - 1/80 x y DATA(1, 0, 1) - 1/80 x y DATA(0, -1, 0) + + + 3/80 y z DATA(-1, 0, -1) - 1/80 y z DATA(2, 2, 0) + + 2 + + 1/80 x y DATA(1, 2, 2) + 3/160 x DATA(-1, 2, 2) + + 2 2 + + 1/160 x DATA(2, 1, 2) - 3/160 x DATA(1, 2, 2) + + 2 2 + + 3/160 x DATA(0, -1, 0) + 3/160 x DATA(1, -1, 0) + + 2 2 + - 1/160 x DATA(-1, 0, 0) + 1/160 x DATA(-1, 1, 0) + + 2 2 2 + + 1/160 x DATA(2, 1, 1) - 3/160 x DATA(1, 2, 1) - 3/160 x DATA(0, 2, 1) + + 2 2 + - 3/160 x DATA(-1, -1, 2) + 3/160 x DATA(2, 2, 1) + + 2 2 + + 3/160 x DATA(1, -1, 2) - 1/160 x DATA(2, 0, 2) + + 2 2 + + 1/160 x DATA(0, 0, 2) - 1/160 x DATA(-1, 0, 2) + + 2 2 + - 3/160 x DATA(2, -1, 2) - 1/160 x DATA(1, 1, 2) + + 2 2 + - 1/160 x DATA(0, 1, 2) + 1/160 x DATA(-1, 1, 2) + + 2 147 + - 3/160 x DATA(0, 2, -1) + ---- x DATA(-1, -1, -1) + 2000 + + 37 57 + - 1/2000 x DATA(0, -1, -1) - ---- x DATA(1, -1, -1) - ---- x DATA(2, 2, 2) + 1000 2000 + + 13 31 + - ---- x DATA(0, -1, 1) - 9/1000 x DATA(-1, 2, 2) + ---- x DATA(2, 1, 2) + 2000 2000 + + 31 + + ---- x DATA(1, 2, 2) - 7/2000 x DATA(0, -1, 0) - 1/80 x y DATA(1, 0, -1) + 2000 + + 2 2 + + 3/160 z DATA(-1, 2, 2) + 1/160 z DATA(2, 1, 2) + + 2 2 + + 3/160 z DATA(1, 2, 2) + 3/160 z DATA(0, -1, 0) + + 2 2 + + 3/160 z DATA(1, -1, 0) + 1/160 z DATA(-1, 0, 0) + + 2 2 + - 1/160 z DATA(-1, 1, 0) + 3/160 z DATA(2, 2, -1) + + 2 2 + + 3/160 z DATA(1, 2, -1) + 3/160 z DATA(-1, 2, -1) + + 2 2 + + 1/160 z DATA(2, 1, -1) + 1/160 z DATA(2, 0, 0) + + 2 2 + + 3/160 z DATA(2, -1, 0) - 3/160 z DATA(1, 2, 0) + + 2 2 + - 3/160 z DATA(0, 2, 0) - 3/160 z DATA(-1, 2, 0) + + 2 2 + - 1/160 z DATA(2, 1, 0) - 3/160 z DATA(2, 2, 0) + + 2 2 + + 3/160 z DATA(2, -1, 1) + 1/160 z DATA(2, 0, 1) + + 2 2 + - 3/160 z DATA(-1, 2, 1) - 1/160 z DATA(2, 1, 1) + + 2 2 + - 3/160 x DATA(-1, -1, 1) + 3/160 x DATA(1, -1, 1) + + 2 2 + - 1/160 x DATA(-1, 0, 1) + 1/160 x DATA(-1, 1, 1) + + 2 2 + + 1/160 x DATA(0, 0, -1) + 1/160 x DATA(1, 0, -1) + + 2 2 + + 1/160 x DATA(-1, 1, -1) - 1/160 x DATA(0, 1, -1) + + 2 2 + - 1/160 x DATA(1, 1, -1) - 3/160 x DATA(-1, -1, 0) + + 2 2 + - 3/160 x DATA(-1, -1, -1) + 3/160 x DATA(0, -1, -1) + + 2 2 + + 3/160 x DATA(1, -1, -1) + 3/160 x DATA(2, 2, 2) + + 2 + + 3/160 x DATA(0, -1, 1) - 3/80 x y DATA(2, 0, -1) + + 2 2 + - 3/160 z DATA(2, 2, 1) - 3/160 z DATA(1, -1, 2) + + 2 2 + - 1/160 z DATA(2, 0, 2) - 1/160 z DATA(0, 0, 2) + + 2 2 + - 1/160 z DATA(-1, 0, 2) - 3/160 z DATA(2, -1, 2) + + 2 2 + + 1/160 z DATA(1, 1, 2) + 1/160 z DATA(0, 1, 2) + + 2 2 + + 1/160 z DATA(-1, 1, 2) + 3/160 z DATA(0, 2, -1) + + 2 2 + + 3/160 z DATA(-1, -1, 1) + 3/160 z DATA(1, -1, 1) + + 2 2 + + 1/160 z DATA(-1, 0, 1) - 1/160 z DATA(-1, 1, 1) + + 2 2 + - 1/160 z DATA(0, 0, -1) - 1/160 z DATA(1, 0, -1) + + 2 2 + + 1/160 z DATA(-1, 1, -1) + 1/160 z DATA(0, 1, -1) + + 2 2 + + 1/160 z DATA(1, 1, -1) + 3/160 z DATA(-1, -1, 0) + + 2 2 + - 3/160 z DATA(-1, -1, -1) - 3/160 z DATA(0, -1, -1) + + 2 2 + - 3/160 z DATA(1, -1, -1) + 3/160 z DATA(2, 2, 2) + + 2 37 43 + + 3/160 z DATA(0, -1, 1) + ---- z DATA(1, 2, 1) + ---- z DATA(0, 2, 1) + 2000 2000 + + 31 + - 9/250 z DATA(-1, -1, 2) + ---- z DATA(2, 2, 1) - 9/500 z DATA(1, -1, 2) + 2000 + + 11 13 + + --- z DATA(2, 0, 2) + 2/125 z DATA(0, 0, 2) + ---- z DATA(-1, 0, 2) + 500 1000 + + 37 43 + - 9/1000 z DATA(2, -1, 2) + ---- z DATA(1, 1, 2) + ---- z DATA(0, 1, 2) + 2000 2000 + + 49 27 37 + + ---- z DATA(-1, 1, 2) - ---- z DATA(0, 2, -1) - ---- z DATA(-1, -1, 1) + 2000 1000 1000 + + 31 + - ---- z DATA(1, -1, 1) + 2/125 z DATA(0, 2, 0) - 7/250 z DATA(2, 1, -1) + 1000 + + 19 23 19 + - ---- z DATA(2, -1, 0) - ---- z DATA(2, 0, 0) - ---- z DATA(2, 0, -1) + 2000 2000 2000 + + 27 21 19 + - ---- z DATA(0, -1, 2) - ---- z DATA(0, 2, 2) + ---- z DATA(1, 0, 2) + 1000 2000 1000 + + 93 19 + - 1/2000 z DATA(-1, 0, -1) + ---- z DATA(2, -1, -1) - ---- z DATA(0, 0, 0) + 2000 2000 + + 21 + - ---- z DATA(1, 0, 0) - 3/1000 z DATA(0, 1, 0) - 1/500 z DATA(1, 1, 0) + 2000 + + 31 + - 3/1000 z DATA(0, 0, 1) - 1/500 z DATA(1, 0, 1) + ---- z DATA(0, 1, 1) + 2000 + + 29 + + ---- z DATA(1, 1, 1) - 9/1000 z DATA(2, 2, -1) - 9/500 z DATA(1, 2, -1) + 2000 + + 2 + - 9/250 z DATA(-1, 2, -1) - 3/160 z DATA(1, 2, 1) + + 2 2 + - 3/160 z DATA(0, 2, 1) - 3/160 z DATA(-1, -1, 2) + + 17 2 + - ---- z DATA(-1, 0, 0) - 1/250 z DATA(-1, 1, 0) + 3/32 y DATA(2, 0, -1) + 2000 + + 2 2 2 + - 1/32 y DATA(0, -1, 2) + 1/32 y DATA(0, 2, 2) + 3/32 y DATA(1, 0, 2) + + 2 2 + + 3/32 y DATA(-1, 0, -1) - 1/32 y DATA(2, -1, -1) + + 2 2 2 + + 3/32 y DATA(0, 0, 0) + 3/32 y DATA(1, 0, 0) - 3/32 y DATA(0, 1, 0) + + 2 2 2 + - 3/32 y DATA(1, 1, 0) + 3/32 y DATA(0, 0, 1) + 3/32 y DATA(1, 0, 1) + + 2 2 2 + - 3/32 y DATA(0, 1, 1) - 3/32 y DATA(1, 1, 1) + 1/32 y DATA(2, 2, -1) + + 2 2 + + 1/32 y DATA(1, 2, -1) + 1/32 y DATA(-1, 2, -1) + + 2 33 19 + - 3/32 y DATA(2, 1, -1) + ---- z DATA(-1, 1, 1) + ---- z DATA(1, 2, 0) + 2000 1000 + + 13 11 + + ---- z DATA(-1, 2, 0) - 1/1000 z DATA(2, 1, 0) + --- z DATA(2, 2, 0) + 1000 500 + + 49 + - 7/250 z DATA(2, -1, 1) - 1/1000 z DATA(2, 0, 1) + ---- z DATA(-1, 2, 1) + 2000 + + 27 2 + + ---- z DATA(2, 1, 1) - 1/80 y z DATA(1, 1, 1) - 3/32 y DATA(2, 1, 2) + 2000 + + 2 2 2 + - 1/32 y DATA(0, -1, 0) - 1/32 y DATA(1, -1, 0) + 3/32 y DATA(-1, 0, 0) + + 2 2 2 + - 3/32 y DATA(-1, 1, 0) + 3/32 y DATA(2, 0, 0) - 1/32 y DATA(2, -1, 0) + + 2 2 2 + + 1/32 y DATA(1, 2, 0) + 1/32 y DATA(0, 2, 0) + 1/32 y DATA(-1, 2, 0) + + 2 + - 3/32 y DATA(2, 1, 0) - 1/250 z DATA(-1, 0, 1) - 7/2000 z DATA(0, 0, -1) + + 13 37 17 + - ---- z DATA(1, 0, -1) - ---- z DATA(-1, 1, -1) - --- z DATA(0, 1, -1) + 2000 1000 500 + + 31 + - ---- z DATA(1, 1, -1) - 1/2000 z DATA(-1, -1, 0) + 1000 + + 147 129 + + ---- z DATA(-1, -1, -1) + ---- z DATA(0, -1, -1) + 2000 2000 + + 111 57 17 + + ---- z DATA(1, -1, -1) - ---- z DATA(2, 2, 2) - --- z DATA(0, -1, 1) + 2000 2000 500 + + 31 39 + - 3/2000 z DATA(-1, 2, 2) + ---- z DATA(2, 1, 2) - ---- z DATA(1, 2, 2) + 2000 2000 + + 13 2 + - 7/2000 z DATA(0, -1, 0) - ---- z DATA(1, -1, 0) + 1/32 y DATA(1, 2, 2) + 2000 + + 2 2 2 + + 1/32 y DATA(-1, 2, 1) - 3/32 y DATA(2, 1, 1) + 1/32 y DATA(1, 2, 1) + + 2 2 2 + + 1/32 y DATA(0, 2, 1) - 1/32 y DATA(-1, -1, 2) + 1/32 y DATA(2, 2, 1) + + 2 2 2 + - 1/32 y DATA(1, -1, 2) + 3/32 y DATA(2, 0, 2) + 3/32 y DATA(0, 0, 2) + + 2 2 2 + + 3/32 y DATA(-1, 0, 2) - 1/32 y DATA(2, -1, 2) - 3/32 y DATA(1, 1, 2) + + 2 2 2 + - 3/32 y DATA(0, 1, 2) - 3/32 y DATA(-1, 1, 2) + 1/32 y DATA(0, 2, -1) + + 2 2 + - 1/32 y DATA(-1, -1, 1) - 1/32 y DATA(1, -1, 1) + + 2 2 2 + + 3/32 y DATA(-1, 0, 1) - 3/32 y DATA(-1, 1, 1) + 3/32 y DATA(0, 0, -1) + + 2 2 + + 3/32 y DATA(1, 0, -1) - 3/32 y DATA(-1, 1, -1) + + 2 2 + - 3/32 y DATA(0, 1, -1) - 3/32 y DATA(1, 1, -1) + + 2 2 + - 1/32 y DATA(-1, -1, 0) - 1/32 y DATA(-1, -1, -1) + + 2 2 + - 1/32 y DATA(0, -1, -1) - 1/32 y DATA(1, -1, -1) + + 2 2 2 + + 1/32 y DATA(2, 2, 2) - 1/32 y DATA(0, -1, 1) + 1/32 y DATA(-1, 2, 2) + + - 1/8 y DATA(-1, 0, 2) + 1/40 y DATA(2, -1, 2) + 7/80 y DATA(1, 1, 2) + + + 3/40 y DATA(0, 1, 2) + 1/16 y DATA(-1, 1, 2) + 1/40 y DATA(0, 2, -1) + + 11 + + 3/40 y DATA(-1, -1, 1) + 1/20 y DATA(1, -1, 1) - -- y DATA(-1, 0, 1) + 80 + + 11 + + 1/20 y DATA(-1, 1, 1) - 3/20 y DATA(0, 0, -1) - -- y DATA(1, 0, -1) + 80 + + + 1/40 y DATA(-1, 1, -1) + 3/80 y DATA(0, 1, -1) + 1/20 y DATA(1, 1, -1) + + + 7/80 y DATA(-1, -1, 0) + 1/10 y DATA(-1, -1, -1) + + + 7/80 y DATA(0, -1, -1) + 3/40 y DATA(1, -1, -1) - 3/80 y DATA(2, 2, 2) + + + 1/16 y DATA(2, 1, -1) - 9/80 y DATA(2, 0, 0) + 1/20 y DATA(0, -1, 2) + + 19 11 + - ---- x DATA(0, -1, 2) + --- x DATA(0, 2, 2) - 1/1000 x DATA(1, 0, 2) + 2000 500 + + - 1/2000 x DATA(-1, 0, -1) - 9/250 x DATA(2, -1, -1) + + 19 + - ---- x DATA(0, 0, 0) - 3/1000 x DATA(1, 0, 0) - 3/1000 x DATA(0, 1, 0) + 2000 + + 31 21 13 + + ---- x DATA(1, 1, 0) - ---- x DATA(0, 0, 1) + ---- x DATA(2, 0, -1) + 2000 2000 1000 + + 2 2 2 + + 1/32 y DATA(2, 2, 0) - 1/32 y DATA(2, -1, 1) + 3/32 y DATA(2, 0, 1) + + + 3/1000 x z DATA(1, -1, 0) - 3/1000 x z DATA(0, -1, 0) + + + 9/1000 x z DATA(1, 2, 2) + 9/1000 x z DATA(2, 1, 2) + + + 9/1000 x z DATA(2, 0, -1) + 1/80 y z DATA(0, 1, 0) + + - 3/80 y z DATA(-1, 2, -1) + 3/80 y z DATA(2, 0, -1) + + - 3/80 x y DATA(-1, -1, 2) - 1/80 x y DATA(0, 2, 1) + + + 1/80 x y DATA(1, 2, 1) - 3/80 y z DATA(1, 0, 2) - 3/80 x y DATA(2, 1, 0) + + 13 + - 3/80 x y DATA(-1, -1, -1) - -- y DATA(-1, 0, -1) + 80 + + 11 + + 1/16 y DATA(2, -1, -1) - -- y DATA(0, 0, 0) - 1/8 y DATA(1, 0, 0) + 80 + + + 1/20 y DATA(0, 1, 0) + 1/16 y DATA(1, 1, 0) - 1/8 y DATA(0, 0, 1) + + - 9/80 y DATA(1, 0, 1) + 1/16 y DATA(0, 1, 1) + 3/40 y DATA(1, 1, 1) + + + 1/80 y DATA(1, 2, -1) + 3/80 y DATA(-1, 2, -1) + 1/20 y DATA(2, -1, 0) + + + 1/80 y DATA(0, 2, 0) + 1/40 y DATA(-1, 2, 0) + 3/40 y DATA(2, 1, 0) + + - 1/80 y DATA(2, 2, 0) + 3/80 y DATA(2, -1, 1) - 1/10 y DATA(2, 0, 1) + + + 1/80 y DATA(-1, 2, 1) + 7/80 y DATA(2, 1, 1) - 1/80 y DATA(1, 2, 1) + + + 1/16 y DATA(-1, -1, 2) - 1/40 y DATA(2, 2, 1) + 3/80 y DATA(1, -1, 2) + + - 7/80 y DATA(2, 0, 2) - 9/80 y DATA(0, 0, 2) - 3/1000 x z DATA(2, 0, 1) + + 27 + - 9/1000 x z DATA(2, -1, 1) - ---- x z DATA(-1, 2, 2) + 1000 + + 27 + + 3/1000 x z DATA(0, -1, 1) + ---- x z DATA(2, 2, 2) + 1000 + + + 9/1000 x z DATA(1, -1, -1) - 9/1000 x z DATA(0, -1, -1) + + 27 + - ---- x z DATA(-1, -1, -1) - 9/1000 x z DATA(-1, -1, 0) + 1000 + + - 3/1000 x z DATA(1, 1, -1) - 3/80 x y DATA(-1, 2, -1) + + + 3/1000 x z DATA(0, 1, -1) + 9/1000 x z DATA(-1, 1, -1) + + + 3/1000 x z DATA(1, 0, -1) - 3/1000 x z DATA(0, 0, -1) + + - 3/1000 x z DATA(-1, 1, 1) + 3/1000 x z DATA(-1, 0, 1) + + - 3/1000 x z DATA(1, -1, 1) + 9/1000 x z DATA(-1, -1, 1) + + + 9/1000 x z DATA(0, 2, -1) + 3/1000 x z DATA(-1, 1, 0) + + - 3/1000 x z DATA(-1, 0, 0) - 1/80 y z DATA(1, 2, 0) + + + 1/80 y z DATA(1, 2, 1) - 3/80 x y DATA(-1, 2, 2) + + + 1/80 x y DATA(0, 0, -1) - 3/80 x y DATA(-1, 2, 0) + + - 3/80 x y DATA(2, 0, 0) - 3/80 y z DATA(2, -1, -1) + + + 3/80 x y DATA(2, -1, 2) + 1/80 y z DATA(2, -1, 1) + + - 1/80 y z DATA(2, -1, 0) + 3/80 y z DATA(-1, -1, 2) + + - 3/80 x y DATA(2, 0, 1) + 3/80 y z DATA(0, -1, 2) + + - 3/80 x y DATA(-1, -1, 0) + 3/80 x y DATA(-1, 1, 1) + + + 3/80 y z DATA(0, 1, -1) + 3/80 y z DATA(-1, 1, -1) + + + 3/80 y z DATA(1, 0, -1) + 3/80 y z DATA(0, 0, -1) + + - 1/80 y z DATA(-1, 1, 1) - 1/80 y z DATA(-1, 0, 1) + + + 1/80 y z DATA(1, -1, 1) + 1/80 y z DATA(-1, -1, 1) + + - 3/80 y z DATA(0, 2, -1) - 3/80 y z DATA(-1, 1, 2) + + - 3/80 y z DATA(0, 1, 2) - 3/80 y z DATA(1, 1, 2) + + + 3/80 x y DATA(2, -1, 0) + 3/80 y z DATA(2, -1, 2) + + - 3/80 y z DATA(-1, 0, 2) - 3/80 y z DATA(0, 0, 2) + + + 3/80 x y DATA(-1, 0, 2) - 3/80 x y DATA(2, 1, -1) - 1/8 y DATA(2, 0, -1) + + - 1/80 y DATA(0, 2, 2) - 1/10 y DATA(1, 0, 2) - 3/80 x y DATA(-1, -1, 1) + + 2 2 2 + + 1/160 z DATA(0, 0, 0) + 1/160 z DATA(1, 0, 0) - 1/160 z DATA(0, 1, 0) + + 2 2 2 + - 1/160 z DATA(1, 1, 0) + 1/160 z DATA(0, 0, 1) + 1/160 z DATA(1, 0, 1) + + 2 2 + - 1/160 z DATA(0, 1, 1) - 1/160 z DATA(1, 1, 1) - 1/1000 x DATA(0, 1, 2) + + 13 111 + - 7/250 x DATA(-1, 1, 2) + ---- x DATA(0, 2, -1) + ---- x DATA(-1, -1, 1) + 1000 2000 + + 31 13 31 + - ---- x DATA(1, -1, 1) - ---- x DATA(-1, 0, 1) - ---- x DATA(-1, 1, 1) + 1000 2000 1000 + + 17 37 + - ---- x DATA(0, 0, -1) - 1/250 x DATA(1, 0, -1) - ---- x DATA(-1, 1, -1) + 2000 1000 + + 33 129 + - 1/250 x DATA(0, 1, -1) + ---- x DATA(1, 1, -1) + ---- x DATA(-1, -1, 0) + 2000 2000 + + + 1/16 y DATA(0, -1, 1) + 1/10 y DATA(2, 1, 2) - 1/40 y DATA(1, 2, 2) + + + 3/40 y DATA(0, -1, 0) + 1/16 y DATA(1, -1, 0) - 3/20 y DATA(-1, 0, 0) + + 2 + + 3/80 y DATA(-1, 1, 0) - 1/160 z DATA(2, 0, -1) + + 2 2 + - 3/160 z DATA(0, -1, 2) + 3/160 z DATA(0, 2, 2) + + 2 2 + - 1/160 z DATA(1, 0, 2) - 1/160 z DATA(-1, 0, -1) + + 2 + - 3/160 z DATA(2, -1, -1) - 1/80 y z DATA(0, 1, 1) + + 2 + + 1/80 x y DATA(1, -1, 0) - 3/160 x DATA(2, -1, 1) + + 2 2 + - 1/160 x DATA(2, 0, 1) + 3/160 x DATA(-1, 2, 1) - 1/500 x DATA(1, 0, 1) + + 29 49 + - 1/500 x DATA(0, 1, 1) + ---- x DATA(1, 1, 1) + ---- x DATA(1, 2, -1) + 2000 2000 + + 49 + - 9/250 x DATA(-1, 2, -1) + ---- x DATA(2, 1, -1) + 2/125 x DATA(2, 0, 0) + 2000 + + 27 43 + - ---- x DATA(2, -1, 0) + ---- x DATA(1, 2, 0) + 2/125 x DATA(0, 2, 0) + 1000 2000 + + 27 21 + - ---- x DATA(-1, 2, 0) - ---- x DATA(2, 2, 0) - 9/500 x DATA(2, -1, 1) + 1000 2000 + + 37 37 + - 9/500 x DATA(-1, 2, 1) + ---- x DATA(2, 1, 1) + ---- x DATA(1, 2, 1) + 2000 2000 + + 19 93 39 + + ---- x DATA(0, 2, 1) + ---- x DATA(-1, -1, 2) - ---- x DATA(2, 2, 1) + 1000 2000 2000 + + 11 23 + - 7/250 x DATA(1, -1, 2) + --- x DATA(2, 0, 2) - ---- x DATA(0, 0, 2) + 500 2000 + + 19 27 17 + - ---- x DATA(-1, 0, 2) + ---- x DATA(1, 1, 2) - --- x DATA(1, -1, 0) + 2000 2000 500 + + 17 2 + - 7/2000 x DATA(-1, 0, 0) - --- x DATA(-1, 1, 0) - 1/160 x DATA(2, 0, -1) + 500 + + 2 2 + + 3/160 x DATA(0, -1, 2) - 3/160 x DATA(0, 2, 2) + + 2 2 + + 1/160 x DATA(1, 0, 2) - 1/160 x DATA(-1, 0, -1) + + 2 2 + - 3/160 x DATA(2, -1, -1) + 1/160 x DATA(0, 0, 0) + + 2 2 2 + + 1/160 x DATA(1, 0, 0) - 1/160 x DATA(0, 1, 0) - 1/160 x DATA(1, 1, 0) + + 2 2 2 + + 1/160 x DATA(0, 0, 1) + 1/160 x DATA(1, 0, 1) - 1/160 x DATA(0, 1, 1) + + 2 2 + - 1/160 x DATA(1, 1, 1) + 3/160 x DATA(2, 2, -1) + + 2 2 + - 3/160 x DATA(1, 2, -1) + 3/160 x DATA(-1, 2, -1) + + 2 2 + + 1/160 x DATA(2, 1, -1) - 1/160 x DATA(2, 0, 0) + + 2 2 + - 3/160 x DATA(2, -1, 0) - 3/160 x DATA(1, 2, 0) + + 2 2 + - 3/160 x DATA(0, 2, 0) + 3/160 x DATA(-1, 2, 0) + + 2 2 + + 1/160 x DATA(2, 1, 0) + 3/160 x DATA(2, 2, 0) + 1/80 x y DATA(0, 1, 2) + + + 1/80 y z DATA(2, 2, 1) + 3/80 x y DATA(-1, 1, 0) + + - 1/80 x y DATA(1, 0, 0) + 1/80 x y DATA(1, 2, -1) + + - 3/80 y z DATA(2, 0, 2) + 3/80 y z DATA(1, -1, 2) + + - 1/80 x y DATA(0, 2, -1) - 3/80 x y DATA(2, 1, 2) + + - 3/80 y z DATA(2, 2, -1) + 1/80 x y DATA(1, -1, -1) + + + 1/80 y z DATA(1, 1, 0) + 1/80 x y DATA(1, -1, 2) + + - 1/80 x y DATA(0, 2, 0) + 3/80 x y DATA(2, 2, 0) + + - 1/80 x y DATA(0, -1, 2) + 1/80 y z DATA(2, 1, 0) + + - 9/1000 x z DATA(0, 2, 2) + 9/1000 x z DATA(0, -1, 2) + + + 1/80 y z DATA(-1, 1, 0) + 1/80 y z DATA(-1, 0, 0) + + - 1/80 y z DATA(1, -1, 0) - 1/80 y z DATA(0, -1, 0) + + + 3/80 y z DATA(1, 2, 2) + 3/80 x y DATA(-1, 1, 2) + + - 3/80 y z DATA(2, 1, 2) + 3/80 y z DATA(-1, 2, 2) + + + 1/80 y z DATA(0, -1, 1) + 3/80 y z DATA(2, 2, 2) + + - 3/80 y z DATA(1, -1, -1) - 3/80 y z DATA(0, -1, -1) + + - 3/80 y z DATA(-1, -1, -1) + 1/80 x y DATA(1, 2, 0) + + - 1/80 y z DATA(-1, -1, 0) + 3/80 y z DATA(1, 1, -1) + + - 9/1000 x z DATA(2, 2, 0) - 3/1000 x z DATA(2, 1, 0) + + + 9/1000 x z DATA(-1, 2, 0) + 3/1000 x z DATA(0, 2, 0) + + - 3/1000 x z DATA(1, 2, 0) + 9/1000 x z DATA(2, -1, 0) + + + 3/1000 x z DATA(2, 0, 0) - 9/1000 x z DATA(2, 1, -1) + + 27 + + ---- x z DATA(-1, 2, -1) - 9/1000 x z DATA(1, 2, -1) + 1000 + + 27 + - ---- x z DATA(2, 2, -1) + 1/1000 x z DATA(1, 1, 1) + 1000 + + - 1/1000 x z DATA(0, 1, 1) - 1/1000 x z DATA(1, 0, 1) + + + 1/1000 x z DATA(0, 0, 1) - 1/1000 x z DATA(1, 1, 0) + + + 1/1000 x z DATA(0, 1, 0) + 1/1000 x z DATA(1, 0, 0) + + 27 + - 1/1000 x z DATA(0, 0, 0) + ---- x z DATA(2, -1, -1) + 1000 + + - 9/1000 x z DATA(-1, 0, -1) - 3/1000 x z DATA(1, 0, 2) + + - 9/1000 x z DATA(-1, 1, 2) + 3/80 x y DATA(-1, 1, -1) + + - 1/80 x y DATA(1, 1, -1) - 3/1000 x z DATA(0, 1, 2) + + 27 + + 3/1000 x z DATA(1, 1, 2) - ---- x z DATA(2, -1, 2) + 1000 + + + 9/1000 x z DATA(-1, 0, 2) + 3/1000 x z DATA(0, 0, 2) + + - 1/80 x y DATA(0, -1, -1) - 9/1000 x z DATA(2, 0, 2) + + - 9/1000 x z DATA(1, -1, 2) + 9/1000 x z DATA(2, 2, 1) + + 27 + + ---- x z DATA(-1, -1, 2) - 3/1000 x z DATA(0, 2, 1) + 1000 + + + 3/1000 x z DATA(1, 2, 1) + 3/1000 x z DATA(2, 1, 1) + + - 9/1000 x z DATA(-1, 2, 1) - 1/80 y z DATA(2, 1, 1) + + + 3/80 x y DATA(-1, 0, 1) + 1/80 y z DATA(-1, 2, 1) + + - 1/80 x y DATA(1, 1, 2) + 1/80 x y DATA(1, -1, 1) + + - 3/80 x y DATA(2, 1, 1) - 3/80 x y DATA(2, 0, 2) + 3/80 x y DATA(2, 2, 2) + + - 1/80 y z DATA(2, 0, 1) - 1/80 y z DATA(-1, 2, 0) + + - 1/80 x y DATA(0, -1, 1) + 3/80 y z DATA(2, 1, -1) + + - 1/80 y z DATA(0, 2, 0) + 1/80 x y DATA(0, 0, 1) + 1/80 y z DATA(0, 0, 0) + + + 1/80 y z DATA(1, 0, 0) + 1/80 x y DATA(0, 1, -1) + + - 3/80 x y DATA(-1, 2, 1) + 1/80 x y DATA(0, 1, 1) + + + 1/80 y z DATA(2, 0, 0) + 3/80 x y DATA(2, -1, 1) + + - 3/80 y z DATA(1, 2, -1) - 1/80 x y DATA(1, 1, 1) + + - 1/80 y z DATA(1, 0, 1) - 1/80 x y DATA(0, 2, 2) - 1/80 x y DATA(1, 0, 2) + + + 1/80 x y DATA(0, 1, 0) + 3/80 x y DATA(2, -1, -1) + + + 3/80 x y DATA(-1, 0, -1) + 3/80 x y DATA(2, 2, -1) + + + 1/80 x y DATA(0, 0, 0) + 1/80 x y DATA(0, 0, 2) + +> coeffs_as_lc_of_data(%, posn_list_3d_size4); +bytes used=346974792, alloc=4652204, time=33.19 +bytes used=347974964, alloc=4652204, time=33.26 +bytes used=348975240, alloc=4652204, time=33.33 +bytes used=349979160, alloc=4652204, time=33.40 +bytes used=350979516, alloc=4652204, time=33.48 +bytes used=351998604, alloc=4652204, time=33.55 +bytes used=353000648, alloc=4652204, time=33.63 +bytes used=354000780, alloc=4652204, time=33.71 +bytes used=355015560, alloc=4914300, time=33.78 + 2 47 147 2 +[COEFF(-1, -1, -1) = - 3/160 x - ---- - 3/80 x y + ---- z - 3/160 z + 1/10 y + 1500 2000 + + 147 2 27 + + ---- x - 1/32 y - ---- x z - 3/80 y z, COEFF(0, -1, -1) = - 1/80 x y + 2000 1000 + + 2 2 2 607 129 + - 1/2000 x + 3/160 x - 3/160 z - 1/32 y - 9/1000 x z - ----- + ---- z + 12000 2000 + + 37 111 + + 7/80 y - 3/80 y z, COEFF(1, -1, -1) = - ---- x - 3/80 y z + ---- z + 1000 2000 + + 2 2 97 2 + + 1/80 x y - 3/160 z - 1/32 y + 9/1000 x z - ---- + 3/40 y + 3/160 x , + 3000 + + 281 27 2 93 + COEFF(2, -1, -1) = ----- - 3/80 y z + ---- x z - 1/32 y + 1/16 y + ---- z + 12000 1000 2000 + + 2 2 2 + - 3/160 z - 9/250 x - 3/160 x + 3/80 x y, COEFF(-1, 0, -1) = - 1/160 z + + 13 2 + - -- y - 1/2000 x - 9/1000 x z + 3/32 y - 1/2000 z + 3/80 y z + 3/80 x y + 80 + + 39 2 17 49 2 + - ---- - 1/160 x , COEFF(0, 0, -1) = 3/80 y z - ---- x - ---- + 3/32 y + 4000 2000 2000 + + 2 2 + - 7/2000 z + 1/160 x - 3/1000 x z + 1/80 x y - 3/20 y - 1/160 z , + + 11 107 2 2 + COEFF(1, 0, -1) = - 1/80 x y - -- y - ---- - 1/160 z - 1/250 x + 1/160 x + 80 4000 + + 13 2 + - ---- z + 3/1000 x z + 3/32 y + 3/80 y z, COEFF(2, 0, -1) = 3/80 y z + 2000 + + 19 33 2 2 2 13 + - ---- z - ---- - 1/160 z + 3/32 y + 9/1000 x z - 1/160 x + ---- x + 2000 2000 1000 + + 2 + - 3/80 x y - 1/8 y, COEFF(-1, 1, -1) = 3/80 y z + 1/160 x + 3/80 x y + + 37 37 2 157 2 + - ---- z - ---- x + 1/160 z + ---- - 3/32 y + 1/40 y + 9/1000 x z, + 1000 1000 2000 + + 17 2 2 2 + COEFF(0, 1, -1) = - --- z + 3/1000 x z + 1/160 z - 3/32 y - 1/160 x + 500 + + 323 + - 1/250 x + 3/80 y + 3/80 y z + ---- + 1/80 x y, COEFF(1, 1, -1) = + 4000 + + 2 141 2 31 + - 3/32 y - 1/80 x y + 3/80 y z + ---- - 1/160 x - 3/1000 x z - ---- z + 2000 1000 + + 2 33 2 + + 1/20 y + 1/160 z + ---- x, COEFF(2, 1, -1) = 1/160 z - 3/80 x y + 2000 + + 49 191 2 2 + + 1/16 y + ---- x + 3/80 y z + ---- - 3/32 y + 1/160 x - 7/250 z + 2000 4000 + + 27 + - 9/1000 x z, COEFF(-1, 2, -1) = ---- x z - 3/80 x y - 9/250 z - 9/250 x + 1000 + + 449 2 2 2 + - ----- + 1/32 y - 3/80 y z + 3/160 x + 3/160 z + 3/80 y, + 12000 + + 13 2 + COEFF(0, 2, -1) = ---- x - 3/80 y z - 1/80 x y + 9/1000 x z + 1/32 y + 1000 + + 27 2 17 2 + - ---- z + 3/160 z + 1/40 y - ---- - 3/160 x , COEFF(1, 2, -1) = + 1000 3000 + + 49 2 + - 9/1000 x z - 3/80 y z + 1/80 x y - 9/500 z + ---- x + 1/80 y + 3/160 z + 2000 + + 2 2 137 2 + - 3/160 x + 1/32 y - -----, COEFF(2, 2, -1) = - 3/80 y z + 3/160 z + 12000 + + 27 2 41 2 + - ---- x z + 3/160 x + 3/80 x y - --- - 9/1000 z + 1/32 y - 3/2000 x, + 1000 750 + + 2 129 607 + COEFF(-1, -1, 0) = - 1/32 y - 9/1000 x z - 1/2000 z + ---- x - ----- + 2000 12000 + + 2 2 + - 1/80 y z - 3/80 x y + 7/80 y - 3/160 x + 3/160 z , COEFF(0, -1, 0) = + + 2 2 437 2 + - 1/32 y - 7/2000 z + 3/160 x - ---- + 3/160 z - 1/80 x y + 3/40 y + 6000 + + 17 691 + - 1/80 y z - 7/2000 x - 3/1000 x z, COEFF(1, -1, 0) = - --- x - ----- + 500 12000 + + 13 2 2 + + 1/80 x y + 3/1000 x z - ---- z - 1/32 y + 3/160 z - 1/80 y z + 1/16 y + 2000 + + 2 2 + + 3/160 x , COEFF(2, -1, 0) = 1/20 y + 9/1000 x z - 1/32 y + 3/80 x y + + 29 27 19 2 2 + - ---- - ---- x - ---- z - 1/80 y z + 3/160 z - 3/160 x , COEFF(-1, 0, 0) + 6000 1000 2000 + + 17 2 + = - 3/20 y - 3/1000 x z - ---- z + 3/80 x y - 1/160 x - 7/2000 x + 2000 + + 2 49 2 19 11 + + 3/32 y + 1/80 y z - ---- + 1/160 z , COEFF(0, 0, 0) = - ---- x - -- y + 2000 2000 80 + + 2 19 2 161 + + 1/160 z - ---- z + 1/80 y z + 1/80 x y - 1/1000 x z + 1/160 x - ---- + 2000 4000 + + 2 2 + + 3/32 y , COEFF(1, 0, 0) = 1/1000 x z + 1/160 z + 1/80 y z - 3/1000 x + + 87 2 21 2 + - 1/8 y - ---- - 1/80 x y + 3/32 y - ---- z + 1/160 x , COEFF(2, 0, 0) = + 2000 2000 + + 2 23 + - 9/80 y + 1/80 y z - 1/160 x - ---- z - 3/80 x y + 3/1000 x z + 2/125 x + 2000 + + 2 137 2 17 323 + + 3/32 y - ---- + 1/160 z , COEFF(-1, 1, 0) = - --- x + ---- + 3/1000 x z + 4000 500 4000 + + 2 2 2 + - 1/160 z - 3/32 y + 1/160 x - 1/250 z + 1/80 y z + 3/80 x y + 3/80 y, + + 2 2 + COEFF(0, 1, 0) = - 1/160 x - 3/1000 x - 3/1000 z + 1/1000 x z - 3/32 y + + 21 2 + + 1/80 x y + --- + 1/20 y + 1/80 y z - 1/160 z , COEFF(1, 1, 0) = 1/80 y z + 250 + + 2 2 2 + - 1/160 x - 1/160 z - 1/500 z + 1/16 y - 3/32 y - 1/1000 x z - 1/80 x y + + 299 31 53 2 2 + + ---- + ---- x, COEFF(2, 1, 0) = ---- + 1/160 x + 1/80 y z - 3/32 y + 4000 2000 1000 + + 43 2 + + 3/40 y - 1/1000 z + ---- x - 3/1000 x z - 1/160 z - 3/80 x y, + 2000 + + 2 13 2 27 17 + COEFF(-1, 2, 0) = - 3/160 z + ---- z + 3/160 x - 3/80 x y - ---- x - ---- + 1000 1000 3000 + + 2 + + 1/32 y + 9/1000 x z - 1/80 y z + 1/40 y, COEFF(0, 2, 0) = 2/125 x + + 2 2 2 + - 1/80 x y - 3/160 x + 1/32 y + 1/80 y - 1/80 y z - 3/160 z + 2/125 z + + 349 19 2 + + ----- + 3/1000 x z, COEFF(1, 2, 0) = ---- z - 1/80 y z - 3/160 x + 12000 1000 + + 43 2 2 79 + + ---- x + 1/32 y - 3/160 z + ---- - 3/1000 x z + 1/80 x y, + 2000 3000 + + 167 2 2 21 11 + COEFF(2, 2, 0) = 3/80 x y - ----- + 1/32 y + 3/160 x - ---- x + --- z + 12000 2000 500 + + 2 + - 9/1000 x z - 1/80 y z - 1/80 y - 3/160 z , COEFF(-1, -1, 1) = 1/80 y z + + 2 2 37 111 + - 3/160 x + 3/40 y - 1/32 y - ---- z + ---- x + 9/1000 x z - 3/80 x y + 1000 2000 + + 97 2 2 691 + - ---- + 3/160 z , COEFF(0, -1, 1) = - 1/32 y + 3/1000 x z - ----- + 3000 12000 + + 17 2 13 2 + - --- z - 1/80 x y + 1/80 y z + 3/160 z - ---- x + 1/16 y + 3/160 x , + 500 2000 + + 2 17 2 31 + COEFF(1, -1, 1) = - 1/32 y - --- + 1/80 y z + 3/160 x - ---- z + 375 1000 + + 31 2 + - 3/1000 x z + 1/80 x y + 1/20 y - ---- x + 3/160 z , COEFF(2, -1, 1) = + 1000 + + 2 2 + 3/80 x y - 3/160 x - 9/1000 x z + 3/80 y - 7/250 z + 1/80 y z - 1/32 y + + 2 53 13 + + 3/160 z - 9/500 x + -----, COEFF(-1, 0, 1) = - 1/250 z - ---- x + 12000 2000 + + 2 2 11 107 + - 1/160 x + 3/80 x y + 1/160 z - -- y - 1/80 y z - ---- + 3/1000 x z + 80 4000 + + 2 21 + + 3/32 y , COEFF(0, 0, 1) = - ---- x - 3/1000 z - 1/80 y z + 1/80 x y + 2000 + + 2 2 2 87 + + 1/160 z + 1/160 x + 3/32 y + 1/1000 x z - ---- - 1/8 y, + 2000 + + 2 191 + COEFF(1, 0, 1) = - 1/500 z - 1/80 x y - 9/80 y + 1/160 x - 1/80 y z - ---- + 4000 + + 2 2 2 + - 1/1000 x z + 3/32 y - 1/500 x + 1/160 z , COEFF(2, 0, 1) = 1/160 z + + 79 2 2 + - ---- - 1/160 x - 1/80 y z - 1/1000 z - 3/1000 x z + 3/32 y - 3/80 x y + 2000 + + 19 31 2 + + ---- x - 1/10 y, COEFF(-1, 1, 1) = - ---- x - 1/80 y z - 1/160 z + 1000 1000 + + 2 141 33 2 + - 3/32 y + ---- + 3/80 x y + ---- z + 1/20 y - 3/1000 x z + 1/160 x , + 2000 2000 + + 2 299 31 + COEFF(0, 1, 1) = - 1/1000 x z - 1/160 z - 1/500 x + ---- + ---- z + 4000 2000 + + 2 2 + + 1/80 x y + 1/16 y - 1/80 y z - 3/32 y - 1/160 x , COEFF(1, 1, 1) = + + 29 133 29 2 2 + 3/40 y + ---- z + ---- + ---- x - 1/160 x - 1/80 x y - 1/160 z - 1/80 y z + 2000 2000 2000 + + 2 183 + + 1/1000 x z - 3/32 y , COEFF(2, 1, 1) = - 3/80 x y + ---- + 3/1000 x z + 4000 + + 2 27 37 2 2 + + 1/160 x + ---- z + ---- x + 7/80 y - 1/80 y z - 3/32 y - 1/160 z , + 2000 2000 + + 2 137 + COEFF(-1, 2, 1) = - 3/80 x y + 1/80 y z + 1/32 y - ----- - 9/1000 x z + 12000 + + 49 2 2 + + 1/80 y + ---- z - 3/160 z + 3/160 x - 9/500 x, COEFF(0, 2, 1) = + 2000 + + 2 19 79 43 2 + - 3/160 z + ---- x - 3/1000 x z + ---- + ---- z + 1/32 y + 1/80 y z + 1000 3000 2000 + + 2 37 319 2 + - 3/160 x - 1/80 x y, COEFF(1, 2, 1) = ---- x + ----- + 1/32 y + 2000 12000 + + 37 2 2 + + 3/1000 x z + ---- z + 1/80 x y - 3/160 z - 1/80 y - 3/160 x + 1/80 y z + 2000 + + 2 2 + , COEFF(2, 2, 1) = - 4/375 + 9/1000 x z + 3/160 x + 3/80 x y + 1/32 y + + 31 2 39 + + ---- z - 3/160 z + 1/80 y z - 1/40 y - ---- x, COEFF(-1, -1, 2) = + 2000 2000 + + 2 281 27 2 + 3/80 y z - 9/250 z - 3/160 z + ----- + ---- x z - 3/80 x y - 3/160 x + 12000 1000 + + 2 93 2 + + 1/16 y - 1/32 y + ---- x, COEFF(0, -1, 2) = 3/80 y z - 1/32 y + 2000 + + 2 29 19 27 2 + + 9/1000 x z + 3/160 x - ---- - ---- x - ---- z - 3/160 z + 1/20 y + 6000 2000 1000 + + 2 + - 1/80 x y, COEFF(1, -1, 2) = 1/80 x y + 3/80 y z - 3/160 z - 7/250 x + + 53 2 2 + + 3/80 y + ----- - 9/500 z - 9/1000 x z + 3/160 x - 1/32 y , + 12000 + + 27 2 + COEFF(2, -1, 2) = 3/80 x y - ---- x z + 1/40 y - 9/1000 z - 1/32 y + 1000 + + 2 2 307 + - 9/1000 x - 3/160 x + 3/80 y z - 3/160 z + ----, COEFF(-1, 0, 2) = + 6000 + + 2 2 2 33 19 + - 1/160 z - 1/160 x + 3/32 y + 3/80 x y - ---- - ---- x - 1/8 y + 2000 2000 + + 13 2 + + 9/1000 x z - 3/80 y z + ---- z, COEFF(0, 0, 2) = 3/32 y + 2/125 z + 1000 + + 2 137 23 + + 1/160 x - ---- + 1/80 x y - ---- x - 3/80 y z + 3/1000 x z - 9/80 y + 4000 2000 + + 2 19 + - 1/160 z , COEFF(1, 0, 2) = - 3/1000 x z + ---- z - 1/1000 x - 1/80 x y + 1000 + + 2 79 2 2 + - 1/160 z - 3/80 y z - ---- - 1/10 y + 1/160 x + 3/32 y , COEFF(2, 0, 2) + 2000 + + 2 2 11 11 + = - 1/160 x + 3/32 y + --- x - 3/80 y z - 9/1000 x z + --- z - 3/80 x y + 500 500 + + 129 2 + - ---- - 7/80 y - 1/160 z , COEFF(-1, 1, 2) = - 9/1000 x z + 1/16 y + 4000 + + 49 191 2 2 + + ---- z - 7/250 x - 3/80 y z + ---- + 3/80 x y + 1/160 z - 3/32 y + 2000 4000 + + 2 2 2 + + 1/160 x , COEFF(0, 1, 2) = 1/80 x y - 3/32 y - 1/160 x - 3/1000 x z + + 53 43 2 + - 1/1000 x + ---- + 3/40 y - 3/80 y z + ---- z + 1/160 z , COEFF(1, 1, 2) + 1000 2000 + + 2 37 2 27 183 + = - 1/80 x y - 1/160 x + ---- z - 3/32 y + 3/1000 x z + ---- x + ---- + 2000 2000 4000 + + 2 2 + + 7/80 y + 1/160 z - 3/80 y z, COEFF(2, 1, 2) = - 3/32 y + 9/1000 x z + + 31 2 31 2 13 + + ---- z + 1/160 z + ---- x + 1/160 x + 1/10 y - 3/80 y z + --- + 2000 2000 500 + + 41 27 + - 3/80 x y, COEFF(-1, 2, 2) = - --- - ---- x z - 3/80 x y - 3/2000 z + 750 1000 + + 2 2 2 + - 9/1000 x + 3/160 z + 1/32 y + 3/80 y z + 3/160 x , COEFF(0, 2, 2) = + + 2 167 21 2 + 1/32 y - ----- + 3/80 y z - 9/1000 x z - ---- z - 1/80 x y + 3/160 z + 12000 2000 + + 2 11 2 2 + - 3/160 x - 1/80 y + --- x, COEFF(1, 2, 2) = 1/32 y + 3/160 z + 500 + + 2 31 39 + - 3/160 x - 1/40 y + ---- x - 4/375 - ---- z + 9/1000 x z + 1/80 x y + 2000 2000 + + 2 2 539 + + 3/80 y z, COEFF(2, 2, 2) = 3/160 x + 1/32 y - 3/80 y - ----- + 12000 + + 57 27 57 2 + + 3/80 y z - ---- x + ---- x z - ---- z + 3/160 z + 3/80 x y] + 2000 1000 2000 + +> print_coeffs__lc_of_data(%, "coeffs_dy->coeff_", "fp", +> "3d.coeffs/3d.cube.order3.smooth0/coeffs-dy.compute.c"); +bytes used=356015712, alloc=4914300, time=33.86 +bytes used=357015892, alloc=4914300, time=33.93 +bytes used=358016080, alloc=4914300, time=34.01 +bytes used=359016344, alloc=4914300, time=34.10 +bytes used=360016516, alloc=4914300, time=34.18 +bytes used=361025308, alloc=4914300, time=34.25 +bytes used=362027164, alloc=4914300, time=34.33 +bytes used=363032188, alloc=4914300, time=34.40 +bytes used=364035680, alloc=4914300, time=34.51 +bytes used=365035836, alloc=4914300, time=34.61 +bytes used=366036056, alloc=4914300, time=35.05 +bytes used=367037712, alloc=4914300, time=35.13 +bytes used=368037960, alloc=4914300, time=35.20 +bytes used=369039896, alloc=4914300, time=35.26 +bytes used=370040132, alloc=4914300, time=35.33 +bytes used=371041456, alloc=4914300, time=35.42 +bytes used=372044532, alloc=4914300, time=35.53 +bytes used=373052808, alloc=4914300, time=35.65 +bytes used=374058040, alloc=4914300, time=35.80 +bytes used=375059352, alloc=4914300, time=35.92 +bytes used=376059568, alloc=4914300, time=36.04 +bytes used=377067216, alloc=4914300, time=36.14 +bytes used=378067388, alloc=4914300, time=36.33 +bytes used=379067656, alloc=4914300, time=36.76 +bytes used=380067964, alloc=4914300, time=36.84 +bytes used=381068152, alloc=4914300, time=36.90 +bytes used=382068316, alloc=4914300, time=36.97 +bytes used=383068468, alloc=4914300, time=37.04 +bytes used=384068624, alloc=4914300, time=37.23 +bytes used=385068816, alloc=4914300, time=37.35 +bytes used=386068992, alloc=4914300, time=37.45 +bytes used=387069188, alloc=4914300, time=38.02 +bytes used=388069448, alloc=4914300, time=38.10 +bytes used=389069676, alloc=4914300, time=38.17 +bytes used=390069940, alloc=4914300, time=38.24 +bytes used=391070152, alloc=4914300, time=38.30 +bytes used=392070336, alloc=4914300, time=38.49 +bytes used=393070556, alloc=4914300, time=38.68 +bytes used=394070896, alloc=4914300, time=39.16 +bytes used=395071096, alloc=4914300, time=39.23 +bytes used=396071252, alloc=4914300, time=39.29 +bytes used=397071424, alloc=4914300, time=39.36 +bytes used=398071640, alloc=4914300, time=39.55 +bytes used=399071820, alloc=4914300, time=40.08 +bytes used=400072344, alloc=4914300, time=40.28 +bytes used=401072600, alloc=4914300, time=40.37 +bytes used=402072752, alloc=4914300, time=40.52 +> +# d/dz +> simplify( diff(interp_3d_cube_order3_smooth0,z) ); +bytes used=403072960, alloc=4914300, time=40.61 +bytes used=404073300, alloc=4914300, time=40.68 +bytes used=405073472, alloc=4914300, time=40.76 +bytes used=406073652, alloc=4914300, time=40.83 +bytes used=407073804, alloc=4914300, time=40.91 +bytes used=408074628, alloc=4914300, time=40.98 +bytes used=409074824, alloc=4914300, time=41.05 + 29 29 17 +- ---- DATA(0, 2, -1) - ---- DATA(2, 0, -1) - ---- DATA(0, -1, 2) + 6000 6000 3000 + + 167 79 607 + - ----- DATA(0, 2, 2) + ---- DATA(1, 0, 2) - ----- DATA(-1, 0, -1) + 12000 3000 12000 + + 281 161 87 + + ----- DATA(2, -1, -1) - ---- DATA(0, 0, 0) - ---- DATA(1, 0, 0) + 12000 4000 2000 + + 87 191 21 + - ---- DATA(0, 1, 0) - ---- DATA(1, 1, 0) + --- DATA(0, 0, 1) + 2000 4000 250 + + 299 299 133 + + ---- DATA(1, 0, 1) + ---- DATA(0, 1, 1) + ---- DATA(1, 1, 1) + 4000 4000 2000 + + 307 53 281 + + ---- DATA(2, 2, -1) + ----- DATA(1, 2, -1) + ----- DATA(-1, 2, -1) + 6000 12000 12000 + + 53 137 33 + + ----- DATA(2, 1, -1) - ---- DATA(2, 0, 0) - ---- DATA(2, -1, 0) + 12000 4000 2000 + + 79 137 33 + - ---- DATA(1, 2, 0) - ---- DATA(0, 2, 0) - ---- DATA(-1, 2, 0) + 2000 4000 2000 + + 79 129 191 + - ---- DATA(2, 1, 0) - ---- DATA(2, 2, 0) + ---- DATA(2, -1, 1) + 2000 4000 4000 + + 53 191 183 + + ---- DATA(2, 0, 1) + ---- DATA(-1, 2, 1) + ---- DATA(2, 1, 1) + 1000 4000 4000 + + 183 53 449 + + ---- DATA(1, 2, 1) + ---- DATA(0, 2, 1) - ----- DATA(-1, -1, 2) + 4000 1000 12000 + + 13 137 167 + + --- DATA(2, 2, 1) - ----- DATA(1, -1, 2) - ----- DATA(2, 0, 2) + 500 12000 12000 + + 349 17 41 + + ----- DATA(0, 0, 2) - ---- DATA(-1, 0, 2) - --- DATA(2, -1, 2) + 12000 3000 750 + + 319 79 137 + + ----- DATA(1, 1, 2) + ---- DATA(0, 1, 2) - ----- DATA(-1, 1, 2) + 12000 3000 12000 + + 41 + - --- DATA(-1, 2, 2) - 4/375 DATA(2, 1, 2) - 4/375 DATA(1, 2, 2) + 750 + + 49 107 49 + - ---- DATA(0, -1, 0) - ---- DATA(1, -1, 0) - ---- DATA(-1, 0, 0) + 2000 4000 2000 + + 107 157 323 + - ---- DATA(-1, 1, 0) + ---- DATA(-1, -1, 1) + ---- DATA(0, -1, 1) + 4000 2000 4000 + + 141 323 141 + + ---- DATA(1, -1, 1) + ---- DATA(-1, 0, 1) + ---- DATA(-1, 1, 1) + 2000 4000 2000 + + 437 691 97 + - ---- DATA(0, 0, -1) - ----- DATA(1, 0, -1) - ---- DATA(-1, 1, -1) + 6000 12000 3000 + + 691 17 39 + - ----- DATA(0, 1, -1) - --- DATA(1, 1, -1) - ---- DATA(-1, -1, 0) + 12000 375 4000 + + 47 607 97 + - ---- DATA(-1, -1, -1) - ----- DATA(0, -1, -1) - ---- DATA(1, -1, -1) + 1500 12000 3000 + + 539 43 + - ----- DATA(2, 2, 2) - 3/2000 y DATA(-1, 2, 2) + ---- y DATA(0, 2, 1) + 12000 2000 + + 19 + + ---- y DATA(1, 2, 0) - 9/1000 y DATA(2, 2, -1) - 9/1000 x DATA(2, 2, -1) + 1000 + + 19 43 + - 3/2000 x DATA(2, -1, 2) + ---- x DATA(2, 1, 0) + ---- x DATA(2, 0, 1) + 1000 2000 + + - 1/1000 x y DATA(1, 1, 0) + 1/80 y z DATA(0, 0, 1) + + + 9/1000 x y DATA(2, 2, 1) - 3/80 y z DATA(0, 2, 1) + + + 3/80 y z DATA(0, 2, 2) - 3/1000 x y DATA(-1, 0, 0) + + - 1/1000 x y DATA(1, 0, 1) - 3/1000 x y DATA(0, -1, 0) + + - 1/80 y z DATA(-1, 0, -1) - 3/80 y z DATA(2, 2, 0) + + 2 + + 9/1000 x y DATA(1, 2, 2) + 3/160 x DATA(-1, 2, 2) + + 2 2 + + 3/160 x DATA(2, 1, 2) - 3/160 x DATA(1, 2, 2) + + 2 2 + + 1/160 x DATA(0, -1, 0) + 1/160 x DATA(1, -1, 0) + + 2 2 + - 1/160 x DATA(-1, 0, 0) - 1/160 x DATA(-1, 1, 0) + + 2 2 2 + + 1/160 x DATA(2, 1, 1) - 1/160 x DATA(1, 2, 1) - 1/160 x DATA(0, 2, 1) + + 2 2 + + 3/160 x DATA(-1, -1, 2) + 1/160 x DATA(2, 2, 1) + + 2 2 + - 3/160 x DATA(1, -1, 2) + 3/160 x DATA(2, 0, 2) + + 2 2 + - 3/160 x DATA(0, 0, 2) + 3/160 x DATA(-1, 0, 2) + + 2 2 + + 3/160 x DATA(2, -1, 2) - 3/160 x DATA(1, 1, 2) + + 2 2 + - 3/160 x DATA(0, 1, 2) + 3/160 x DATA(-1, 1, 2) + + 2 147 + + 3/160 x DATA(0, 2, -1) + ---- x DATA(-1, -1, -1) + 2000 + + 37 57 + - 1/2000 x DATA(0, -1, -1) - ---- x DATA(1, -1, -1) - ---- x DATA(2, 2, 2) + 1000 2000 + + 39 + - 1/250 x DATA(0, -1, 1) - 9/1000 x DATA(-1, 2, 2) - ---- x DATA(2, 1, 2) + 2000 + + 31 17 + + ---- x DATA(1, 2, 2) - ---- x DATA(0, -1, 0) + 3/1000 x y DATA(1, 0, -1) + 2000 2000 + + 2 2 2 + + 1/32 z DATA(-1, 2, 2) + 1/32 z DATA(2, 1, 2) + 1/32 z DATA(1, 2, 2) + + 2 2 2 + + 3/32 z DATA(0, -1, 0) + 3/32 z DATA(1, -1, 0) + 3/32 z DATA(-1, 0, 0) + + 2 2 2 + + 3/32 z DATA(-1, 1, 0) - 1/32 z DATA(2, 2, -1) - 1/32 z DATA(1, 2, -1) + + 2 2 2 + - 1/32 z DATA(-1, 2, -1) - 1/32 z DATA(2, 1, -1) + 3/32 z DATA(2, 0, 0) + + 2 2 2 + + 3/32 z DATA(2, -1, 0) + 3/32 z DATA(1, 2, 0) + 3/32 z DATA(0, 2, 0) + + 2 2 2 + + 3/32 z DATA(-1, 2, 0) + 3/32 z DATA(2, 1, 0) + 3/32 z DATA(2, 2, 0) + + 2 2 2 + - 3/32 z DATA(2, -1, 1) - 3/32 z DATA(2, 0, 1) - 3/32 z DATA(-1, 2, 1) + + 2 2 + - 3/32 z DATA(2, 1, 1) + 1/160 x DATA(-1, -1, 1) + + 2 2 + - 1/160 x DATA(1, -1, 1) + 1/160 x DATA(-1, 0, 1) + + 2 2 + + 1/160 x DATA(-1, 1, 1) + 3/160 x DATA(0, 0, -1) + + 2 2 + + 3/160 x DATA(1, 0, -1) - 3/160 x DATA(-1, 1, -1) + + 2 2 + + 3/160 x DATA(0, 1, -1) + 3/160 x DATA(1, 1, -1) + + 2 2 + - 1/160 x DATA(-1, -1, 0) - 3/160 x DATA(-1, -1, -1) + + 2 2 + + 3/160 x DATA(0, -1, -1) + 3/160 x DATA(1, -1, -1) + + 2 2 + + 3/160 x DATA(2, 2, 2) - 1/160 x DATA(0, -1, 1) + + 2 + + 9/1000 x y DATA(2, 0, -1) - 3/32 z DATA(2, 2, 1) + + 2 2 2 + + 1/32 z DATA(1, -1, 2) + 1/32 z DATA(2, 0, 2) + 1/32 z DATA(0, 0, 2) + + 2 2 2 + + 1/32 z DATA(-1, 0, 2) + 1/32 z DATA(2, -1, 2) + 1/32 z DATA(1, 1, 2) + + 2 2 2 + + 1/32 z DATA(0, 1, 2) + 1/32 z DATA(-1, 1, 2) - 1/32 z DATA(0, 2, -1) + + 2 2 + - 3/32 z DATA(-1, -1, 1) - 3/32 z DATA(1, -1, 1) + + 2 2 2 + - 3/32 z DATA(-1, 0, 1) - 3/32 z DATA(-1, 1, 1) - 1/32 z DATA(0, 0, -1) + + 2 2 + - 1/32 z DATA(1, 0, -1) - 1/32 z DATA(-1, 1, -1) + + 2 2 + - 1/32 z DATA(0, 1, -1) - 1/32 z DATA(1, 1, -1) + + 2 2 + + 3/32 z DATA(-1, -1, 0) - 1/32 z DATA(-1, -1, -1) + + 2 2 + - 1/32 z DATA(0, -1, -1) - 1/32 z DATA(1, -1, -1) + + 2 2 + + 1/32 z DATA(2, 2, 2) - 3/32 z DATA(0, -1, 1) + 7/80 z DATA(1, 2, 1) + + + 3/40 z DATA(0, 2, 1) + 3/80 z DATA(-1, -1, 2) + 1/10 z DATA(2, 2, 1) + + + 1/80 z DATA(1, -1, 2) - 1/80 z DATA(2, 0, 2) + 1/80 z DATA(0, 0, 2) + + + 1/40 z DATA(-1, 0, 2) - 1/80 z DATA(1, 1, 2) + 1/80 z DATA(-1, 1, 2) + + + 1/20 z DATA(0, 2, -1) + 1/40 z DATA(-1, -1, 1) + 1/20 z DATA(1, -1, 1) + + - 9/80 z DATA(0, 2, 0) + 3/80 z DATA(2, 1, -1) - 1/8 z DATA(2, -1, 0) + + - 9/80 z DATA(2, 0, 0) + 1/20 z DATA(2, 0, -1) + 1/40 z DATA(0, -1, 2) + + - 1/80 z DATA(0, 2, 2) + 7/80 z DATA(-1, 0, -1) + 1/16 z DATA(2, -1, -1) + + 11 + - -- z DATA(0, 0, 0) - 1/8 z DATA(1, 0, 0) - 1/8 z DATA(0, 1, 0) + 80 + + - 9/80 z DATA(1, 1, 0) + 1/20 z DATA(0, 0, 1) + 1/16 z DATA(1, 0, 1) + + + 1/16 z DATA(0, 1, 1) + 3/40 z DATA(1, 1, 1) + 1/40 z DATA(2, 2, -1) + + 2 + + 3/80 z DATA(1, 2, -1) + 1/16 z DATA(-1, 2, -1) - 3/32 z DATA(1, 2, 1) + + 2 2 + - 3/32 z DATA(0, 2, 1) + 1/32 z DATA(-1, -1, 2) - 3/20 z DATA(-1, 0, 0) + + 11 2 2 + - -- z DATA(-1, 1, 0) + 3/160 y DATA(2, 0, -1) + 3/160 y DATA(0, -1, 2) + 80 + + 2 2 + + 3/160 y DATA(0, 2, 2) - 3/160 y DATA(1, 0, 2) + + 2 2 + + 3/160 y DATA(-1, 0, -1) - 3/160 y DATA(2, -1, -1) + + 2 2 2 + + 1/160 y DATA(0, 0, 0) + 1/160 y DATA(1, 0, 0) + 1/160 y DATA(0, 1, 0) + + 2 2 2 + + 1/160 y DATA(1, 1, 0) - 1/160 y DATA(0, 0, 1) - 1/160 y DATA(1, 0, 1) + + 2 2 + - 1/160 y DATA(0, 1, 1) - 1/160 y DATA(1, 1, 1) + + 2 2 + - 3/160 y DATA(2, 2, -1) - 3/160 y DATA(1, 2, -1) + + 2 2 + - 3/160 y DATA(-1, 2, -1) + 3/160 y DATA(2, 1, -1) + + + 1/20 z DATA(-1, 1, 1) - 1/10 z DATA(1, 2, 0) - 1/8 z DATA(-1, 2, 0) + + - 1/10 z DATA(2, 1, 0) - 7/80 z DATA(2, 2, 0) + 1/16 z DATA(2, -1, 1) + + + 3/40 z DATA(2, 0, 1) + 1/16 z DATA(-1, 2, 1) + 7/80 z DATA(2, 1, 1) + + 2 + - 1/80 y z DATA(1, 1, 1) - 3/160 y DATA(2, 1, 2) + + 2 2 + - 1/160 y DATA(0, -1, 0) - 1/160 y DATA(1, -1, 0) + + 2 2 + + 1/160 y DATA(-1, 0, 0) + 1/160 y DATA(-1, 1, 0) + + 2 2 + + 1/160 y DATA(2, 0, 0) - 1/160 y DATA(2, -1, 0) + + 2 2 + - 1/160 y DATA(1, 2, 0) - 1/160 y DATA(0, 2, 0) + + 2 2 + - 1/160 y DATA(-1, 2, 0) + 1/160 y DATA(2, 1, 0) + 3/80 z DATA(-1, 0, 1) + + + 3/40 z DATA(0, 0, -1) + 1/16 z DATA(1, 0, -1) + 3/40 z DATA(-1, 1, -1) + + 13 + + 1/16 z DATA(0, 1, -1) + 1/20 z DATA(1, 1, -1) - -- z DATA(-1, -1, 0) + 80 + + + 1/10 z DATA(-1, -1, -1) + 7/80 z DATA(0, -1, -1) + + + 3/40 z DATA(1, -1, -1) - 3/80 z DATA(2, 2, 2) + 3/80 z DATA(0, -1, 1) + + - 1/40 z DATA(2, 1, 2) - 1/40 z DATA(1, 2, 2) - 3/20 z DATA(0, -1, 0) + + 11 2 2 + - -- z DATA(1, -1, 0) + 3/160 y DATA(1, 2, 2) + 1/160 y DATA(-1, 2, 1) + 80 + + 2 2 2 + - 1/160 y DATA(2, 1, 1) + 1/160 y DATA(1, 2, 1) + 1/160 y DATA(0, 2, 1) + + 2 2 + + 3/160 y DATA(-1, -1, 2) + 1/160 y DATA(2, 2, 1) + + 2 2 + + 3/160 y DATA(1, -1, 2) - 3/160 y DATA(2, 0, 2) + + 2 2 + - 3/160 y DATA(0, 0, 2) - 3/160 y DATA(-1, 0, 2) + + 2 2 + + 3/160 y DATA(2, -1, 2) - 3/160 y DATA(1, 1, 2) + + 2 2 + - 3/160 y DATA(0, 1, 2) - 3/160 y DATA(-1, 1, 2) + + 2 2 + - 3/160 y DATA(0, 2, -1) + 1/160 y DATA(-1, -1, 1) + + 2 2 + + 1/160 y DATA(1, -1, 1) - 1/160 y DATA(-1, 0, 1) + + 2 2 + - 1/160 y DATA(-1, 1, 1) + 3/160 y DATA(0, 0, -1) + + 2 2 + + 3/160 y DATA(1, 0, -1) + 3/160 y DATA(-1, 1, -1) + + 2 2 + + 3/160 y DATA(0, 1, -1) + 3/160 y DATA(1, 1, -1) + + 2 2 + - 1/160 y DATA(-1, -1, 0) - 3/160 y DATA(-1, -1, -1) + + 2 2 + - 3/160 y DATA(0, -1, -1) - 3/160 y DATA(1, -1, -1) + + 2 2 + + 3/160 y DATA(2, 2, 2) + 1/160 y DATA(0, -1, 1) + + 2 13 + + 3/160 y DATA(-1, 2, 2) + ---- y DATA(-1, 0, 2) + 1000 + + 37 43 + - 9/1000 y DATA(2, -1, 2) + ---- y DATA(1, 1, 2) + ---- y DATA(0, 1, 2) + 2000 2000 + + 49 27 37 + + ---- y DATA(-1, 1, 2) - ---- y DATA(0, 2, -1) - ---- y DATA(-1, -1, 1) + 2000 1000 1000 + + 31 33 + - ---- y DATA(1, -1, 1) - 1/250 y DATA(-1, 0, 1) + ---- y DATA(-1, 1, 1) + 1000 2000 + + 13 37 + - 7/2000 y DATA(0, 0, -1) - ---- y DATA(1, 0, -1) - ---- y DATA(-1, 1, -1) + 2000 1000 + + 17 31 + - --- y DATA(0, 1, -1) - ---- y DATA(1, 1, -1) - 1/2000 y DATA(-1, -1, 0) + 500 1000 + + 147 129 + + ---- y DATA(-1, -1, -1) + ---- y DATA(0, -1, -1) + 2000 2000 + + 111 57 + + ---- y DATA(1, -1, -1) - ---- y DATA(2, 2, 2) - 7/250 y DATA(2, 1, -1) + 2000 2000 + + 23 27 13 + - ---- y DATA(2, 0, 0) - ---- y DATA(0, -1, 2) + ---- x DATA(0, -1, 2) + 2000 1000 1000 + + 11 43 129 + + --- x DATA(0, 2, 2) + ---- x DATA(1, 0, 2) + ---- x DATA(-1, 0, -1) + 500 2000 2000 + + 19 + - 9/250 x DATA(2, -1, -1) - ---- x DATA(0, 0, 0) - 3/1000 x DATA(1, 0, 0) + 2000 + + 21 + - ---- x DATA(0, 1, 0) - 1/500 x DATA(1, 1, 0) - 3/1000 x DATA(0, 0, 1) + 2000 + + 27 2 2 + - ---- x DATA(2, 0, -1) - 1/160 y DATA(2, 2, 0) + 1/160 y DATA(2, -1, 1) + 1000 + + 2 + - 1/160 y DATA(2, 0, 1) - 1/80 x z DATA(1, -1, 0) + + + 1/80 x z DATA(0, -1, 0) + 1/80 x z DATA(1, 2, 2) + + + 3/80 x z DATA(2, 1, 2) + 3/80 x z DATA(2, 0, -1) + + - 1/80 y z DATA(0, 1, 0) + 3/80 y z DATA(-1, 2, -1) + + 27 + - 1/80 y z DATA(2, 0, -1) + ---- x y DATA(-1, -1, 2) + 1000 + + - 3/1000 x y DATA(0, 2, 1) + 3/1000 x y DATA(1, 2, 1) + + - 1/80 y z DATA(1, 0, 2) - 3/1000 x y DATA(2, 1, 0) + + 27 + - ---- x y DATA(-1, -1, -1) - 1/2000 y DATA(-1, 0, -1) + 1000 + + 93 19 21 + + ---- y DATA(2, -1, -1) - ---- y DATA(0, 0, 0) - ---- y DATA(1, 0, 0) + 2000 2000 2000 + + - 3/1000 y DATA(0, 1, 0) - 1/500 y DATA(1, 1, 0) - 3/1000 y DATA(0, 0, 1) + + 31 29 + - 1/500 y DATA(1, 0, 1) + ---- y DATA(0, 1, 1) + ---- y DATA(1, 1, 1) + 2000 2000 + + 19 + - 9/500 y DATA(1, 2, -1) - 9/250 y DATA(-1, 2, -1) - ---- y DATA(2, -1, 0) + 2000 + + 13 + + 2/125 y DATA(0, 2, 0) + ---- y DATA(-1, 2, 0) - 1/1000 y DATA(2, 1, 0) + 1000 + + 11 + + --- y DATA(2, 2, 0) - 7/250 y DATA(2, -1, 1) - 1/1000 y DATA(2, 0, 1) + 500 + + 49 27 37 + + ---- y DATA(-1, 2, 1) + ---- y DATA(2, 1, 1) + ---- y DATA(1, 2, 1) + 2000 2000 2000 + + 31 + - 9/250 y DATA(-1, -1, 2) + ---- y DATA(2, 2, 1) - 9/500 y DATA(1, -1, 2) + 2000 + + 11 + + --- y DATA(2, 0, 2) + 2/125 y DATA(0, 0, 2) - 3/80 x z DATA(2, 0, 1) + 500 + + - 3/80 x z DATA(2, -1, 1) - 3/80 x z DATA(-1, 2, 2) + + + 1/80 x z DATA(0, -1, 1) + 3/80 x z DATA(2, 2, 2) + + + 1/80 x z DATA(1, -1, -1) - 1/80 x z DATA(0, -1, -1) + + - 3/80 x z DATA(-1, -1, -1) + 3/80 x z DATA(-1, -1, 0) + + 27 + + 1/80 x z DATA(1, 1, -1) + ---- x y DATA(-1, 2, -1) + 1000 + + - 1/80 x z DATA(0, 1, -1) - 3/80 x z DATA(-1, 1, -1) + + + 1/80 x z DATA(1, 0, -1) - 1/80 x z DATA(0, 0, -1) + + + 3/80 x z DATA(-1, 1, 1) + 3/80 x z DATA(-1, 0, 1) + + - 1/80 x z DATA(1, -1, 1) + 3/80 x z DATA(-1, -1, 1) + + - 1/80 x z DATA(0, 2, -1) + 3/80 x z DATA(-1, 1, 0) + + + 3/80 x z DATA(-1, 0, 0) - 3/80 y z DATA(1, 2, 0) + + 27 + - 3/80 y z DATA(1, 2, 1) - ---- x y DATA(-1, 2, 2) + 1000 + + - 3/1000 x y DATA(0, 0, -1) + 9/1000 x y DATA(-1, 2, 0) + + + 3/1000 x y DATA(2, 0, 0) - 3/80 y z DATA(2, -1, -1) + + 27 + - ---- x y DATA(2, -1, 2) + 3/80 y z DATA(2, -1, 1) + 1000 + + + 3/80 y z DATA(2, -1, 0) - 3/80 y z DATA(-1, -1, 2) + + - 3/1000 x y DATA(2, 0, 1) - 3/80 y z DATA(0, -1, 2) + + - 9/1000 x y DATA(-1, -1, 0) - 3/1000 x y DATA(-1, 1, 1) + + + 1/80 y z DATA(0, 1, -1) + 1/80 y z DATA(-1, 1, -1) + + - 1/80 y z DATA(1, 0, -1) - 1/80 y z DATA(0, 0, -1) + + - 1/80 y z DATA(-1, 1, 1) + 1/80 y z DATA(-1, 0, 1) + + + 3/80 y z DATA(1, -1, 1) + 3/80 y z DATA(-1, -1, 1) + + + 3/80 y z DATA(0, 2, -1) + 1/80 y z DATA(-1, 1, 2) + + + 1/80 y z DATA(0, 1, 2) + 1/80 y z DATA(1, 1, 2) + + + 9/1000 x y DATA(2, -1, 0) - 3/80 y z DATA(2, -1, 2) + + - 1/80 y z DATA(-1, 0, 2) - 1/80 y z DATA(0, 0, 2) + + + 9/1000 x y DATA(-1, 0, 2) - 9/1000 x y DATA(2, 1, -1) + + 19 21 19 + - ---- y DATA(2, 0, -1) - ---- y DATA(0, 2, 2) + ---- y DATA(1, 0, 2) + 2000 2000 1000 + + 2 + + 9/1000 x y DATA(-1, -1, 1) + 3/32 z DATA(0, 0, 0) + + 2 2 2 + + 3/32 z DATA(1, 0, 0) + 3/32 z DATA(0, 1, 0) + 3/32 z DATA(1, 1, 0) + + 2 2 2 + - 3/32 z DATA(0, 0, 1) - 3/32 z DATA(1, 0, 1) - 3/32 z DATA(0, 1, 1) + + 2 19 + - 3/32 z DATA(1, 1, 1) + ---- x DATA(0, 1, 2) - 9/500 x DATA(-1, 1, 2) + 1000 + + 19 37 33 + - ---- x DATA(0, 2, -1) - ---- x DATA(-1, -1, 1) + ---- x DATA(1, -1, 1) + 2000 1000 2000 + + 17 31 + - --- x DATA(-1, 0, 1) - ---- x DATA(-1, 1, 1) - 7/2000 x DATA(0, 0, -1) + 500 1000 + + 17 111 13 + - --- x DATA(1, 0, -1) + ---- x DATA(-1, 1, -1) - ---- x DATA(0, 1, -1) + 500 2000 2000 + + 31 17 + - ---- x DATA(1, 1, -1) - 1/2000 x DATA(-1, -1, 0) - --- y DATA(0, -1, 1) + 1000 500 + + 31 39 + + ---- y DATA(2, 1, 2) - ---- y DATA(1, 2, 2) - 7/2000 y DATA(0, -1, 0) + 2000 2000 + + 13 17 + - ---- y DATA(1, -1, 0) - ---- y DATA(-1, 0, 0) - 1/250 y DATA(-1, 1, 0) + 2000 2000 + + 2 2 2 + - 1/32 z DATA(2, 0, -1) + 1/32 z DATA(0, -1, 2) + 1/32 z DATA(0, 2, 2) + + 2 2 + + 1/32 z DATA(1, 0, 2) - 1/32 z DATA(-1, 0, -1) + + 2 + - 1/32 z DATA(2, -1, -1) - 1/80 y z DATA(0, 1, 1) + + 2 + + 3/1000 x y DATA(1, -1, 0) + 1/160 x DATA(2, -1, 1) + + 2 2 31 + + 1/160 x DATA(2, 0, 1) + 1/160 x DATA(-1, 2, 1) + ---- x DATA(1, 0, 1) + 2000 + + 29 + - 1/500 x DATA(0, 1, 1) + ---- x DATA(1, 1, 1) - 7/250 x DATA(1, 2, -1) + 2000 + + 93 + + ---- x DATA(-1, 2, -1) - 9/500 x DATA(2, 1, -1) + 2/125 x DATA(2, 0, 0) + 2000 + + 13 23 + + ---- x DATA(2, -1, 0) - 1/1000 x DATA(1, 2, 0) - ---- x DATA(0, 2, 0) + 1000 2000 + + 19 11 49 + - ---- x DATA(-1, 2, 0) + --- x DATA(2, 2, 0) + ---- x DATA(2, -1, 1) + 2000 500 2000 + + 37 27 + - 7/250 x DATA(-1, 2, 1) + ---- x DATA(2, 1, 1) + ---- x DATA(1, 2, 1) + 2000 2000 + + 31 + - 1/1000 x DATA(0, 2, 1) - 9/250 x DATA(-1, -1, 2) + ---- x DATA(2, 2, 1) + 2000 + + 49 21 + + ---- x DATA(1, -1, 2) - ---- x DATA(2, 0, 2) + 2/125 x DATA(0, 0, 2) + 2000 2000 + + 27 37 + - ---- x DATA(-1, 0, 2) + ---- x DATA(1, 1, 2) - 1/250 x DATA(1, -1, 0) + 1000 2000 + + 13 + - 7/2000 x DATA(-1, 0, 0) - ---- x DATA(-1, 1, 0) + 2000 + + 2 2 + - 3/160 x DATA(2, 0, -1) - 3/160 x DATA(0, -1, 2) + + 2 2 + - 3/160 x DATA(0, 2, 2) - 3/160 x DATA(1, 0, 2) + + 2 2 + - 3/160 x DATA(-1, 0, -1) - 3/160 x DATA(2, -1, -1) + + 2 2 2 + + 1/160 x DATA(0, 0, 0) + 1/160 x DATA(1, 0, 0) + 1/160 x DATA(0, 1, 0) + + 2 2 2 + + 1/160 x DATA(1, 1, 0) - 1/160 x DATA(0, 0, 1) - 1/160 x DATA(1, 0, 1) + + 2 2 + - 1/160 x DATA(0, 1, 1) - 1/160 x DATA(1, 1, 1) + + 2 2 + - 3/160 x DATA(2, 2, -1) + 3/160 x DATA(1, 2, -1) + + 2 2 + - 3/160 x DATA(-1, 2, -1) - 3/160 x DATA(2, 1, -1) + + 2 2 + - 1/160 x DATA(2, 0, 0) - 1/160 x DATA(2, -1, 0) + + 2 2 + + 1/160 x DATA(1, 2, 0) + 1/160 x DATA(0, 2, 0) + + 2 2 + - 1/160 x DATA(-1, 2, 0) - 1/160 x DATA(2, 1, 0) + + 2 + - 1/160 x DATA(2, 2, 0) - 3/1000 x y DATA(0, 1, 2) + + - 3/80 y z DATA(2, 2, 1) + 3/1000 x y DATA(-1, 1, 0) + + + 1/1000 x y DATA(1, 0, 0) - 9/1000 x y DATA(1, 2, -1) + + - 1/80 y z DATA(2, 0, 2) - 3/80 y z DATA(1, -1, 2) + + + 9/1000 x y DATA(0, 2, -1) + 9/1000 x y DATA(2, 1, 2) + + + 3/80 y z DATA(2, 2, -1) + 9/1000 x y DATA(1, -1, -1) + + - 1/80 y z DATA(1, 1, 0) - 9/1000 x y DATA(1, -1, 2) + + + 3/1000 x y DATA(0, 2, 0) - 9/1000 x y DATA(2, 2, 0) + + + 9/1000 x y DATA(0, -1, 2) - 1/80 y z DATA(2, 1, 0) + + - 1/80 x z DATA(0, 2, 2) - 1/80 x z DATA(0, -1, 2) + + - 1/80 y z DATA(-1, 1, 0) + 1/80 y z DATA(-1, 0, 0) + + + 3/80 y z DATA(1, -1, 0) + 3/80 y z DATA(0, -1, 0) + + + 3/80 y z DATA(1, 2, 2) - 9/1000 x y DATA(-1, 1, 2) + + + 1/80 y z DATA(2, 1, 2) + 3/80 y z DATA(-1, 2, 2) + + + 3/80 y z DATA(0, -1, 1) + 3/80 y z DATA(2, 2, 2) + + - 3/80 y z DATA(1, -1, -1) - 3/80 y z DATA(0, -1, -1) + + - 3/80 y z DATA(-1, -1, -1) - 3/1000 x y DATA(1, 2, 0) + + + 3/80 y z DATA(-1, -1, 0) + 1/80 y z DATA(1, 1, -1) + + - 3/80 x z DATA(2, 2, 0) - 3/80 x z DATA(2, 1, 0) + + + 3/80 x z DATA(-1, 2, 0) + 1/80 x z DATA(0, 2, 0) + + - 1/80 x z DATA(1, 2, 0) - 3/80 x z DATA(2, -1, 0) + + - 3/80 x z DATA(2, 0, 0) + 3/80 x z DATA(2, 1, -1) + + - 3/80 x z DATA(-1, 2, -1) + 1/80 x z DATA(1, 2, -1) + + + 3/80 x z DATA(2, 2, -1) - 1/80 x z DATA(1, 1, 1) + + + 1/80 x z DATA(0, 1, 1) - 1/80 x z DATA(1, 0, 1) + 1/80 x z DATA(0, 0, 1) + + - 1/80 x z DATA(1, 1, 0) + 1/80 x z DATA(0, 1, 0) - 1/80 x z DATA(1, 0, 0) + + + 1/80 x z DATA(0, 0, 0) + 3/80 x z DATA(2, -1, -1) + + - 3/80 x z DATA(-1, 0, -1) + 1/80 x z DATA(1, 0, 2) + + - 3/80 x z DATA(-1, 1, 2) + 9/1000 x y DATA(-1, 1, -1) + + - 3/1000 x y DATA(1, 1, -1) - 1/80 x z DATA(0, 1, 2) + + + 1/80 x z DATA(1, 1, 2) + 3/80 x z DATA(2, -1, 2) + + - 3/80 x z DATA(-1, 0, 2) - 1/80 x z DATA(0, 0, 2) + + - 9/1000 x y DATA(0, -1, -1) + 3/80 x z DATA(2, 0, 2) + + + 1/80 x z DATA(1, -1, 2) - 3/80 x z DATA(2, 2, 1) + + - 3/80 x z DATA(-1, -1, 2) + 1/80 x z DATA(0, 2, 1) + + - 1/80 x z DATA(1, 2, 1) - 3/80 x z DATA(2, 1, 1) + + + 3/80 x z DATA(-1, 2, 1) - 1/80 y z DATA(2, 1, 1) + + + 3/1000 x y DATA(-1, 0, 1) - 3/80 y z DATA(-1, 2, 1) + + + 3/1000 x y DATA(1, 1, 2) - 3/1000 x y DATA(1, -1, 1) + + + 3/1000 x y DATA(2, 1, 1) - 9/1000 x y DATA(2, 0, 2) + + 27 + + ---- x y DATA(2, 2, 2) + 1/80 y z DATA(2, 0, 1) + 1000 + + - 3/80 y z DATA(-1, 2, 0) + 3/1000 x y DATA(0, -1, 1) + + + 1/80 y z DATA(2, 1, -1) - 3/80 y z DATA(0, 2, 0) + + + 1/1000 x y DATA(0, 0, 1) + 1/80 y z DATA(0, 0, 0) + + + 1/80 y z DATA(1, 0, 0) + 3/1000 x y DATA(0, 1, -1) + + - 9/1000 x y DATA(-1, 2, 1) - 1/1000 x y DATA(0, 1, 1) + + + 1/80 y z DATA(2, 0, 0) - 9/1000 x y DATA(2, -1, 1) + + + 3/80 y z DATA(1, 2, -1) + 1/1000 x y DATA(1, 1, 1) + + + 1/80 y z DATA(1, 0, 1) - 9/1000 x y DATA(0, 2, 2) + + - 3/1000 x y DATA(1, 0, 2) + 1/1000 x y DATA(0, 1, 0) + + 27 + + ---- x y DATA(2, -1, -1) - 9/1000 x y DATA(-1, 0, -1) + 1000 + + 27 + - ---- x y DATA(2, 2, -1) - 1/1000 x y DATA(0, 0, 0) + 1000 + + + 3/1000 x y DATA(0, 0, 2) + +> coeffs_as_lc_of_data(%, posn_list_3d_size4); +bytes used=410110452, alloc=4914300, time=41.13 +bytes used=411142220, alloc=4914300, time=41.21 +bytes used=412142356, alloc=4914300, time=41.28 +bytes used=413190428, alloc=4914300, time=41.36 +bytes used=414192668, alloc=4914300, time=41.43 +bytes used=415192808, alloc=4914300, time=41.51 +bytes used=416193280, alloc=4914300, time=41.59 +bytes used=417204812, alloc=4914300, time=41.66 + 147 2 47 147 +[COEFF(-1, -1, -1) = ---- y - 1/32 z - ---- - 3/80 x z + ---- x + 1/10 z + 2000 1500 2000 + + 27 2 2 + - 3/80 y z - ---- x y - 3/160 x - 3/160 y , COEFF(0, -1, -1) = - 1/2000 x + 1000 + + 607 2 2 2 + - ----- - 3/160 y - 1/32 z + 3/160 x - 3/80 y z - 1/80 x z + 7/80 z + 12000 + + 129 111 97 + - 9/1000 x y + ---- y, COEFF(1, -1, -1) = ---- y - ---- + 3/40 z + 2000 2000 3000 + + 2 2 37 2 + + 9/1000 x y - 1/32 z - 3/160 y - ---- x + 3/160 x - 3/80 y z + 1000 + + 281 27 2 + + 1/80 x z, COEFF(2, -1, -1) = - 3/80 y z + ----- + ---- x y - 3/160 x + 12000 1000 + + 2 2 93 + - 1/32 z - 3/160 y + ---- y + 1/16 z - 9/250 x + 3/80 x z, + 2000 + + 2 2 + COEFF(-1, 0, -1) = - 1/32 z - 1/80 y z - 9/1000 x y + 3/160 y - 3/80 x z + + 2 607 129 + - 1/2000 y - 3/160 x - ----- + ---- x + 7/80 z, COEFF(0, 0, -1) = + 12000 2000 + + 2 + - 7/2000 x + 3/160 y - 1/80 y z - 1/80 x z - 7/2000 y - 3/1000 x y + + 2 2 437 + - 1/32 z + 3/160 x + 3/40 z - ----, COEFF(1, 0, -1) = 1/80 x z + 6000 + + 2 691 17 2 + + 3/160 y - 1/80 y z - ----- + 3/1000 x y + 1/16 z - --- x - 1/32 z + 12000 500 + + 2 13 2 27 + + 3/160 x - ---- y, COEFF(2, 0, -1) = - 1/32 z + 1/20 z - ---- x + 2000 1000 + + 2 19 29 2 + - 3/160 x - 1/80 y z - ---- y - ---- + 9/1000 x y + 3/80 x z + 3/160 y , + 2000 6000 + + 97 2 2 + COEFF(-1, 1, -1) = - ---- + 3/160 y + 3/40 z + 9/1000 x y - 3/160 x + 3000 + + 111 37 2 + + ---- x + 1/80 y z - ---- y - 3/80 x z - 1/32 z , COEFF(0, 1, -1) = + 2000 1000 + + 2 2 2 691 17 + 1/16 z + 3/160 x - 1/32 z + 3/160 y - ----- - --- y + 3/1000 x y + 12000 500 + + 13 17 + - ---- x - 1/80 x z + 1/80 y z, COEFF(1, 1, -1) = - --- + 1/80 x z + 2000 375 + + 31 31 2 2 + - ---- x - ---- y + 3/160 x + 1/80 y z - 1/32 z - 3/1000 x y + 1/20 z + 1000 1000 + + 2 53 + + 3/160 y , COEFF(2, 1, -1) = 1/80 y z + ----- - 9/500 x + 3/80 x z + 12000 + + 2 2 2 + - 9/1000 x y - 3/160 x - 7/250 y + 3/80 z - 1/32 z + 3/160 y , + + 281 27 2 2 + COEFF(-1, 2, -1) = - 9/250 y + ----- + ---- x y - 3/160 y - 3/160 x + 12000 1000 + + 2 93 + - 1/32 z - 3/80 x z + 1/16 z + ---- x + 3/80 y z, COEFF(0, 2, -1) = + 2000 + + 2 27 2 19 + - 3/160 y - ---- y + 9/1000 x y + 1/20 z - 1/32 z - 1/80 x z - ---- x + 1000 2000 + + 29 2 2 + - ---- + 3/160 x + 3/80 y z, COEFF(1, 2, -1) = - 7/250 x - 3/160 y + 6000 + + 2 2 53 + - 1/32 z + 3/160 x + 3/80 y z + ----- - 9/1000 x y - 9/500 y + 3/80 z + 12000 + + 2 27 2 + + 1/80 x z, COEFF(2, 2, -1) = 3/80 x z - 1/32 z - ---- x y - 3/160 y + 1000 + + 2 307 + - 9/1000 x + 1/40 z - 3/160 x + ---- - 9/1000 y + 3/80 y z, + 6000 + + 2 + COEFF(-1, -1, 0) = - 1/2000 x - 1/2000 y - 9/1000 x y + 3/80 x z - 1/160 x + + 39 2 2 13 2 + - ---- + 3/80 y z + 3/32 z - 1/160 y - -- z, COEFF(0, -1, 0) = 1/160 x + 4000 80 + + 17 2 + - 3/1000 x y - ---- x + 3/80 y z + 1/80 x z - 7/2000 y + 3/32 z + 2000 + + 2 49 2 107 + - 1/160 y - ---- - 3/20 z, COEFF(1, -1, 0) = 1/160 x - ---- - 1/250 x + 2000 4000 + + 11 2 2 13 + - -- z + 3/1000 x y - 1/160 y + 3/80 y z + 3/32 z - ---- y - 1/80 x z, + 80 2000 + + 2 19 33 + COEFF(2, -1, 0) = - 3/80 x z + 3/32 z + 3/80 y z - 1/8 z - ---- y - ---- + 2000 2000 + + 2 2 13 + - 1/160 y - 1/160 x + 9/1000 x y + ---- x, COEFF(-1, 0, 0) = 3/80 x z + 1000 + + 2 49 2 17 2 + - 1/160 x - ---- + 1/160 y - ---- y + 3/32 z - 3/20 z - 3/1000 x y + 2000 2000 + + 11 2 + + 1/80 y z - 7/2000 x, COEFF(0, 0, 0) = - -- z + 1/160 y - 1/1000 x y + 80 + + 19 2 161 2 19 + - ---- y + 1/80 y z + 3/32 z - ---- + 1/160 x + 1/80 x z - ---- x, + 2000 4000 2000 + + 2 + COEFF(1, 0, 0) = - 1/80 x z - 3/1000 x + 1/80 y z + 1/160 y + 1/1000 x y + + 87 2 2 21 137 + - 1/8 z - ---- + 1/160 x + 3/32 z - ---- y, COEFF(2, 0, 0) = - ---- + 2000 2000 4000 + + 2 2 2 23 + - 9/80 z + 1/160 y - 1/160 x - 3/80 x z + 3/32 z + 3/1000 x y - ---- y + 2000 + + 11 + + 1/80 y z + 2/125 x, COEFF(-1, 1, 0) = - 1/80 y z - -- z + 3/80 x z + 80 + + 2 2 13 107 2 + + 3/32 z - 1/160 x - 1/250 y - ---- x - ---- + 1/160 y + 3/1000 x y, + 2000 4000 + + 87 2 21 + COEFF(0, 1, 0) = - ---- + 1/1000 x y + 1/160 x - ---- x - 1/80 y z + 2000 2000 + + 2 2 + - 3/1000 y + 3/32 z - 1/8 z + 1/80 x z + 1/160 y , COEFF(1, 1, 0) = + + 2 191 + - 1/80 x z - 9/80 z + 1/160 y - ---- - 1/1000 x y - 1/500 y - 1/500 x + 4000 + + 2 2 2 19 + + 1/160 x - 1/80 y z + 3/32 z , COEFF(2, 1, 0) = 3/32 z + ---- x + 1000 + + 2 79 2 + - 1/10 z - 3/80 x z - 1/160 x - 3/1000 x y - 1/1000 y - ---- + 1/160 y + 2000 + + 2 19 13 + - 1/80 y z, COEFF(-1, 2, 0) = - 1/160 y - ---- x - 3/80 y z + ---- y + 2000 1000 + + 2 33 2 + + 3/32 z - ---- + 9/1000 x y + 3/80 x z - 1/160 x - 1/8 z, + 2000 + + 2 2 137 + COEFF(0, 2, 0) = 1/80 x z - 9/80 z + 3/32 z + 1/160 x - ---- + 3/1000 x y + 4000 + + 23 2 2 + - ---- x - 3/80 y z + 2/125 y - 1/160 y , COEFF(1, 2, 0) = - 1/160 y + 2000 + + 19 2 79 2 + + ---- y + 1/160 x - ---- - 1/80 x z - 3/1000 x y - 1/1000 x + 3/32 z + 1000 2000 + + 11 2 + - 3/80 y z - 1/10 z, COEFF(2, 2, 0) = --- x + 3/32 z - 7/80 z - 3/80 y z + 500 + + 2 11 129 2 + - 1/160 y - 3/80 x z - 9/1000 x y + --- y - ---- - 1/160 x , + 500 4000 + + 37 2 + COEFF(-1, -1, 1) = 3/80 y z + 1/40 z + 9/1000 x y - ---- x - 3/32 z + 1000 + + 37 2 157 2 + - ---- y + 1/160 x + 3/80 x z + ---- + 1/160 y , COEFF(0, -1, 1) = 3/80 z + 1000 2000 + + 323 17 2 2 + + ---- + 3/80 y z - --- y + 1/160 y + 3/1000 x y - 1/250 x - 3/32 z + 4000 500 + + 2 2 33 + - 1/160 x + 1/80 x z, COEFF(1, -1, 1) = 3/80 y z - 3/32 z + ---- x + 2000 + + 2 141 31 2 + + 1/20 z - 1/80 x z + 1/160 y - 3/1000 x y + ---- - ---- y - 1/160 x , + 2000 1000 + + 2 2 191 + COEFF(2, -1, 1) = 1/160 y - 3/80 x z + 1/160 x + 3/80 y z + ---- + 1/16 z + 4000 + + 49 2 + + ---- x - 3/32 z - 7/250 y - 9/1000 x y, COEFF(-1, 0, 1) = 1/80 y z + 2000 + + 2 2 323 + + 3/80 x z + 3/1000 x y - 1/160 y + 1/160 x + 3/80 z - 1/250 y + ---- + 4000 + + 2 17 2 2 21 + - 3/32 z - --- x, COEFF(0, 0, 1) = - 1/160 y + 1/20 z - 3/32 z + --- + 500 250 + + 2 + - 1/160 x + 1/80 x z + 1/1000 x y - 3/1000 x - 3/1000 y + 1/80 y z, + + 31 299 2 2 + COEFF(1, 0, 1) = - 1/500 y + ---- x + ---- + 1/16 z - 3/32 z - 1/160 x + 2000 4000 + + 2 + - 1/80 x z - 1/160 y + 1/80 y z - 1/1000 x y, COEFF(2, 0, 1) = 3/40 z + + 53 2 2 2 43 + + ---- - 3/1000 x y - 3/32 z - 1/160 y - 1/1000 y + 1/160 x + ---- x + 1000 2000 + + 33 + + 1/80 y z - 3/80 x z, COEFF(-1, 1, 1) = 1/20 z + ---- y - 1/80 y z + 2000 + + 31 141 2 2 2 + - ---- x + 3/80 x z + ---- - 3/32 z - 1/160 y + 1/160 x - 3/1000 x y, + 1000 2000 + + 2 31 299 + COEFF(0, 1, 1) = 1/16 z - 3/32 z + ---- y - 1/80 y z + ---- + 1/80 x z + 2000 4000 + + 2 2 + - 1/1000 x y - 1/500 x - 1/160 y - 1/160 x , COEFF(1, 1, 1) = - 1/80 y z + + 2 133 2 29 2 + - 1/160 x + ---- + 1/1000 x y - 3/32 z + ---- y - 1/160 y + 3/40 z + 2000 2000 + + 29 183 37 2 + + ---- x - 1/80 x z, COEFF(2, 1, 1) = ---- + ---- x + 1/160 x + 2000 4000 2000 + + 2 27 2 + + 3/1000 x y + 7/80 z - 1/80 y z - 3/32 z - 3/80 x z + ---- y - 1/160 y , + 2000 + + 191 2 49 + COEFF(-1, 2, 1) = 3/80 x z - 9/1000 x y + ---- + 1/16 z + 1/160 y + ---- y + 4000 2000 + + 2 2 53 + - 3/32 z - 3/80 y z + 1/160 x - 7/250 x, COEFF(0, 2, 1) = ---- + 1000 + + 2 2 43 + + 1/160 y + 1/80 x z + 3/40 z - 1/1000 x - 3/32 z + ---- y - 3/1000 x y + 2000 + + 2 27 2 + - 1/160 x - 3/80 y z, COEFF(1, 2, 1) = ---- x - 3/80 y z - 1/160 x + 2000 + + 2 183 37 2 + + 3/1000 x y - 1/80 x z + 1/160 y + ---- + ---- y + 7/80 z - 3/32 z , + 4000 2000 + + 31 13 2 31 2 + COEFF(2, 2, 1) = ---- x + --- + 9/1000 x y + 1/160 y + ---- y + 1/160 x + 2000 500 2000 + + 2 + - 3/32 z + 1/10 z - 3/80 x z - 3/80 y z, COEFF(-1, -1, 2) = 3/80 z + + 2 449 2 2 + + 1/32 z - 9/250 y - 9/250 x - 3/80 y z - ----- + 3/160 y + 3/160 x + 12000 + + 27 2 + - 3/80 x z + ---- x y, COEFF(0, -1, 2) = 1/32 z + 9/1000 x y - 1/80 x z + 1000 + + 13 17 2 27 2 + + ---- x - ---- + 3/160 y + 1/40 z - ---- y - 3/160 x - 3/80 y z, + 1000 3000 1000 + + 49 2 2 + COEFF(1, -1, 2) = - 9/1000 x y + ---- x + 1/32 z - 9/500 y - 3/160 x + 2000 + + 137 2 + + 1/80 x z - 3/80 y z - ----- + 1/80 z + 3/160 y , COEFF(2, -1, 2) = + 12000 + + 2 27 41 2 + 3/160 y - 3/80 y z - ---- x y - 3/2000 x - --- + 1/32 z - 9/1000 y + 1000 750 + + 2 2 13 + + 3/80 x z + 3/160 x , COEFF(-1, 0, 2) = 1/32 z + ---- y - 1/80 y z + 1000 + + 2 2 17 27 + + 3/160 x - 3/160 y - ---- - 3/80 x z + 1/40 z + 9/1000 x y - ---- x, + 3000 1000 + + 2 349 + COEFF(0, 0, 2) = 3/1000 x y - 3/160 y + ----- + 1/80 z - 1/80 x z + 12000 + + 2 2 + + 2/125 y + 2/125 x - 3/160 x - 1/80 y z + 1/32 z , COEFF(1, 0, 2) = + + 19 2 43 79 2 + ---- y - 3/160 x + ---- x + ---- - 3/1000 x y - 1/80 y z + 1/32 z + 1000 2000 3000 + + 2 21 + - 3/160 y + 1/80 x z, COEFF(2, 0, 2) = - 9/1000 x y - ---- x - 1/80 y z + 2000 + + 2 2 11 167 2 + + 1/32 z - 1/80 z + 3/160 x + 3/80 x z + --- y - ----- - 3/160 y , + 500 12000 + + 2 + COEFF(-1, 1, 2) = - 9/500 x + 1/80 y z - 9/1000 x y - 3/160 y + 1/80 z + + 49 2 2 137 43 + + ---- y + 1/32 z - 3/80 x z + 3/160 x - -----, COEFF(0, 1, 2) = ---- y + 2000 12000 2000 + + 2 2 19 + - 3/1000 x y + 1/80 y z - 3/160 x - 3/160 y + ---- x - 1/80 x z + 1000 + + 2 79 2 2 + + 1/32 z + ----, COEFF(1, 1, 2) = - 3/160 y + 1/80 x z - 3/160 x + 3000 + + 37 319 2 37 + + ---- y + ----- - 1/80 z + 1/80 y z + 1/32 z + 3/1000 x y + ---- x, + 2000 12000 2000 + + 2 39 31 2 + COEFF(2, 1, 2) = 1/32 z - ---- x + ---- y - 3/160 y - 4/375 + 1/80 y z + 2000 2000 + + 2 2 + + 3/160 x + 3/80 x z - 1/40 z + 9/1000 x y, COEFF(-1, 2, 2) = 3/160 y + + 41 27 2 + - --- + 3/80 y z - 9/1000 x - ---- x y + 3/160 x - 3/2000 y - 3/80 x z + 750 1000 + + 2 21 167 + + 1/32 z , COEFF(0, 2, 2) = - 1/80 x z - ---- y - ----- + 3/80 y z + 2000 12000 + + 2 2 11 2 + + 3/160 y - 3/160 x + --- x - 9/1000 x y + 1/32 z - 1/80 z, + 500 + + 2 + COEFF(1, 2, 2) = 3/160 y - 1/40 z + 3/80 y z + 9/1000 x y + 1/80 x z + + 2 39 2 31 + - 3/160 x - ---- y + 1/32 z - 4/375 + ---- x, COEFF(2, 2, 2) = 3/80 x z + 2000 2000 + + 57 27 539 2 2 + - ---- y + ---- x y + 3/80 y z - ----- - 3/80 z + 1/32 z + 3/160 x + 2000 1000 12000 + + 2 57 + + 3/160 y - ---- x] + 2000 + +> print_coeffs__lc_of_data(%, "coeffs_dz->coeff_", "fp", +> "3d.coeffs/3d.cube.order3.smooth0/coeffs-dz.compute.c"); +bytes used=418205100, alloc=4914300, time=41.74 +bytes used=419205616, alloc=4914300, time=41.82 +bytes used=420205780, alloc=4914300, time=41.89 +bytes used=421206144, alloc=4914300, time=42.03 +bytes used=422206316, alloc=4914300, time=42.12 +bytes used=423225048, alloc=4914300, time=42.19 +bytes used=424232576, alloc=4914300, time=42.27 +bytes used=425256628, alloc=4914300, time=42.35 +bytes used=426268612, alloc=4914300, time=42.46 +bytes used=427268792, alloc=4914300, time=42.57 +bytes used=428268980, alloc=4914300, time=43.10 +bytes used=429270148, alloc=4914300, time=43.25 +bytes used=430270332, alloc=4914300, time=43.31 +bytes used=431272084, alloc=4914300, time=43.37 +bytes used=432272284, alloc=4914300, time=43.44 +bytes used=433272452, alloc=4914300, time=43.51 +bytes used=434280840, alloc=4914300, time=43.62 +bytes used=435281092, alloc=4914300, time=43.74 +bytes used=436281244, alloc=4914300, time=43.89 +bytes used=437289104, alloc=4914300, time=44.01 +bytes used=438289320, alloc=4914300, time=44.14 +bytes used=439303432, alloc=4914300, time=44.24 +bytes used=440303940, alloc=4914300, time=44.33 +bytes used=441316200, alloc=4914300, time=44.89 +bytes used=442316540, alloc=4914300, time=45.10 +bytes used=443316804, alloc=4914300, time=45.17 +bytes used=444317120, alloc=4914300, time=45.24 +bytes used=445317508, alloc=4914300, time=45.31 +bytes used=446317700, alloc=4914300, time=45.37 +bytes used=447322516, alloc=4914300, time=45.58 +bytes used=448322784, alloc=4914300, time=45.69 +bytes used=449323564, alloc=4914300, time=46.29 +bytes used=450323776, alloc=4914300, time=46.55 +bytes used=451324284, alloc=4914300, time=46.63 +bytes used=452324592, alloc=4914300, time=46.70 +bytes used=453325024, alloc=4914300, time=46.76 +bytes used=454325180, alloc=4914300, time=46.84 +bytes used=455325364, alloc=4914300, time=47.01 +bytes used=456325536, alloc=4914300, time=47.63 +bytes used=457325924, alloc=4914300, time=47.81 +bytes used=458326112, alloc=4914300, time=47.88 +bytes used=459326504, alloc=4914300, time=47.95 +bytes used=460326708, alloc=4914300, time=48.01 +bytes used=461326944, alloc=4914300, time=48.19 +bytes used=462327156, alloc=4914300, time=48.65 +bytes used=463327336, alloc=4914300, time=49.00 +bytes used=464327500, alloc=4914300, time=49.07 +bytes used=465327720, alloc=4914300, time=49.18 +> +# d^2/dx^2 +> simplify( diff(interp_3d_cube_order3_smooth0,x,x) ); +- 1/8 DATA(0, 2, -1) + 1/40 DATA(2, 0, -1) - 1/8 DATA(0, -1, 2) + + - 7/80 DATA(0, 2, 2) + 3/40 DATA(1, 0, 2) + 7/80 DATA(-1, 0, -1) + + 11 + + 3/80 DATA(2, -1, -1) - -- DATA(0, 0, 0) + 1/20 DATA(1, 0, 0) + 80 + + - 1/8 DATA(0, 1, 0) + 1/16 DATA(1, 1, 0) - 1/8 DATA(0, 0, 1) + + + 1/16 DATA(1, 0, 1) - 9/80 DATA(0, 1, 1) + 3/40 DATA(1, 1, 1) + + + 1/16 DATA(1, 2, -1) + 1/16 DATA(-1, 2, -1) + 1/80 DATA(2, 1, -1) + + + 1/80 DATA(2, 0, 0) + 1/40 DATA(2, -1, 0) + 3/40 DATA(1, 2, 0) + + - 9/80 DATA(0, 2, 0) + 1/20 DATA(-1, 2, 0) - 1/80 DATA(2, 2, 0) + + + 1/80 DATA(2, -1, 1) + 3/80 DATA(-1, 2, 1) - 1/80 DATA(2, 1, 1) + + + 7/80 DATA(1, 2, 1) - 1/10 DATA(0, 2, 1) + 1/16 DATA(-1, -1, 2) + + - 1/40 DATA(2, 2, 1) + 1/16 DATA(1, -1, 2) - 1/80 DATA(2, 0, 2) + + - 9/80 DATA(0, 0, 2) + 1/20 DATA(-1, 0, 2) + 7/80 DATA(1, 1, 2) + + - 1/10 DATA(0, 1, 2) + 3/80 DATA(-1, 1, 2) + 1/40 DATA(-1, 2, 2) + + - 1/40 DATA(2, 1, 2) + 1/10 DATA(1, 2, 2) - 3/20 DATA(0, -1, 0) + + + 3/80 DATA(1, -1, 0) + 3/40 DATA(-1, 0, 0) + 1/16 DATA(-1, 1, 0) + + 11 + + 3/40 DATA(-1, -1, 1) - -- DATA(0, -1, 1) + 1/20 DATA(1, -1, 1) + 80 + + + 1/16 DATA(-1, 0, 1) + 1/20 DATA(-1, 1, 1) - 3/20 DATA(0, 0, -1) + + 11 + + 3/80 DATA(1, 0, -1) + 3/40 DATA(-1, 1, -1) - -- DATA(0, 1, -1) + 80 + + + 1/20 DATA(1, 1, -1) + 7/80 DATA(-1, -1, 0) + 1/10 DATA(-1, -1, -1) + + 13 + - -- DATA(0, -1, -1) + 1/40 DATA(1, -1, -1) - 3/80 DATA(2, 2, 2) + 80 + + - 3/80 z DATA(0, 1, 2) + 3/80 z DATA(-1, 2, 2) + 3/80 z DATA(2, -1, 2) + + - 3/80 z DATA(1, 0, 2) + 3/80 y DATA(-1, 2, 2) - 3/80 y DATA(0, 2, 1) + + - 3/80 y DATA(1, 2, 0) + 3/80 y DATA(2, 2, -1) + 1/16 x DATA(2, 2, -1) + + + 1/16 x DATA(2, -1, 2) + 1/16 x DATA(2, 1, 0) + 1/16 x DATA(2, 0, 1) + + - 1/16 x DATA(-1, -1, -1) + 3/16 x DATA(0, -1, -1) + + - 3/16 x DATA(1, -1, -1) + 1/16 x DATA(2, 2, 2) + 3/16 x DATA(0, -1, 1) + + - 1/16 x DATA(-1, 2, 2) + 1/16 x DATA(2, 1, 2) - 3/16 x DATA(1, 2, 2) + + + 3/16 x DATA(0, -1, 0) - 1/80 z DATA(1, 2, 1) - 1/80 z DATA(0, 2, 1) + + + 3/80 z DATA(-1, -1, 2) + 1/80 z DATA(2, 2, 1) - 3/80 z DATA(1, -1, 2) + + + 3/80 z DATA(2, 0, 2) - 3/80 z DATA(0, 0, 2) + 3/80 z DATA(-1, 0, 2) + + - 3/80 z DATA(1, 1, 2) + 3/80 z DATA(-1, 1, 2) + 3/80 z DATA(0, 2, -1) + + + 1/80 z DATA(-1, -1, 1) - 1/80 z DATA(1, -1, 1) + 1/80 z DATA(0, 2, 0) + + - 3/80 z DATA(2, 1, -1) - 1/80 z DATA(2, -1, 0) - 1/80 z DATA(2, 0, 0) + + - 3/80 z DATA(2, 0, -1) - 3/80 z DATA(0, -1, 2) - 3/80 z DATA(0, 2, 2) + + - 3/80 z DATA(-1, 0, -1) - 3/80 z DATA(2, -1, -1) + 1/80 z DATA(0, 0, 0) + + + 1/80 z DATA(1, 0, 0) + 1/80 z DATA(0, 1, 0) + 1/80 z DATA(1, 1, 0) + + - 1/80 z DATA(0, 0, 1) - 1/80 z DATA(1, 0, 1) - 1/80 z DATA(0, 1, 1) + + - 1/80 z DATA(1, 1, 1) - 3/80 z DATA(2, 2, -1) + 3/80 z DATA(1, 2, -1) + + - 3/80 z DATA(-1, 2, -1) - 1/80 z DATA(-1, 0, 0) - 1/80 z DATA(-1, 1, 0) + + + 1/80 z DATA(-1, 1, 1) + 1/80 z DATA(1, 2, 0) - 1/80 z DATA(-1, 2, 0) + + - 1/80 z DATA(2, 1, 0) - 1/80 z DATA(2, 2, 0) + 1/80 z DATA(2, -1, 1) + + + 1/80 z DATA(2, 0, 1) + 1/80 z DATA(-1, 2, 1) + 1/80 z DATA(2, 1, 1) + + + 1/80 z DATA(-1, 0, 1) + 3/80 z DATA(0, 0, -1) + 3/80 z DATA(1, 0, -1) + + - 3/80 z DATA(-1, 1, -1) + 3/80 z DATA(0, 1, -1) + 3/80 z DATA(1, 1, -1) + + - 1/80 z DATA(-1, -1, 0) - 3/80 z DATA(-1, -1, -1) + + + 3/80 z DATA(0, -1, -1) + 3/80 z DATA(1, -1, -1) + 3/80 z DATA(2, 2, 2) + + - 1/80 z DATA(0, -1, 1) + 3/80 z DATA(2, 1, 2) - 3/80 z DATA(1, 2, 2) + + + 1/80 z DATA(0, -1, 0) + 1/80 z DATA(1, -1, 0) - 1/80 y DATA(-1, 0, 2) + + - 3/80 y DATA(2, -1, 2) - 1/80 y DATA(1, 1, 2) - 1/80 y DATA(0, 1, 2) + + + 1/80 y DATA(-1, 1, 2) - 3/80 y DATA(0, 2, -1) - 3/80 y DATA(-1, -1, 1) + + + 3/80 y DATA(1, -1, 1) - 1/80 y DATA(-1, 0, 1) + 1/80 y DATA(-1, 1, 1) + + + 1/80 y DATA(0, 0, -1) + 1/80 y DATA(1, 0, -1) + 1/80 y DATA(-1, 1, -1) + + - 1/80 y DATA(0, 1, -1) - 1/80 y DATA(1, 1, -1) - 3/80 y DATA(-1, -1, 0) + + - 3/80 y DATA(-1, -1, -1) + 3/80 y DATA(0, -1, -1) + + + 3/80 y DATA(1, -1, -1) + 3/80 y DATA(2, 2, 2) + 1/80 y DATA(2, 1, -1) + + - 1/80 y DATA(2, 0, 0) + 3/80 y DATA(0, -1, 2) + 3/16 x DATA(0, -1, 2) + + + 3/16 x DATA(0, 2, 2) - 3/16 x DATA(1, 0, 2) - 1/16 x DATA(-1, 0, -1) + + + 1/16 x DATA(2, -1, -1) + 3/16 x DATA(0, 0, 0) - 3/16 x DATA(1, 0, 0) + + + 3/16 x DATA(0, 1, 0) - 3/16 x DATA(1, 1, 0) + 3/16 x DATA(0, 0, 1) + + + 1/16 x DATA(2, 0, -1) - 1/80 y DATA(-1, 0, -1) - 3/80 y DATA(2, -1, -1) + + + 1/80 y DATA(0, 0, 0) + 1/80 y DATA(1, 0, 0) - 1/80 y DATA(0, 1, 0) + + - 1/80 y DATA(1, 1, 0) + 1/80 y DATA(0, 0, 1) + 1/80 y DATA(1, 0, 1) + + - 1/80 y DATA(0, 1, 1) - 1/80 y DATA(1, 1, 1) - 3/80 y DATA(1, 2, -1) + + + 3/80 y DATA(-1, 2, -1) - 3/80 y DATA(2, -1, 0) - 3/80 y DATA(0, 2, 0) + + + 3/80 y DATA(-1, 2, 0) + 1/80 y DATA(2, 1, 0) + 3/80 y DATA(2, 2, 0) + + - 3/80 y DATA(2, -1, 1) - 1/80 y DATA(2, 0, 1) + 3/80 y DATA(-1, 2, 1) + + + 1/80 y DATA(2, 1, 1) - 3/80 y DATA(1, 2, 1) - 3/80 y DATA(-1, -1, 2) + + + 3/80 y DATA(2, 2, 1) + 3/80 y DATA(1, -1, 2) - 1/80 y DATA(2, 0, 2) + + + 1/80 y DATA(0, 0, 2) - 1/80 y DATA(2, 0, -1) - 3/80 y DATA(0, 2, 2) + + + 1/80 y DATA(1, 0, 2) + 3/16 x DATA(0, 1, 2) - 1/16 x DATA(-1, 1, 2) + + + 3/16 x DATA(0, 2, -1) - 1/16 x DATA(-1, -1, 1) - 3/16 x DATA(1, -1, 1) + + - 1/16 x DATA(-1, 0, 1) - 1/16 x DATA(-1, 1, 1) + 3/16 x DATA(0, 0, -1) + + - 3/16 x DATA(1, 0, -1) - 1/16 x DATA(-1, 1, -1) + 3/16 x DATA(0, 1, -1) + + - 3/16 x DATA(1, 1, -1) - 1/16 x DATA(-1, -1, 0) + 3/80 y DATA(0, -1, 1) + + + 1/80 y DATA(2, 1, 2) - 3/80 y DATA(1, 2, 2) + 3/80 y DATA(0, -1, 0) + + + 3/80 y DATA(1, -1, 0) - 1/80 y DATA(-1, 0, 0) + 1/80 y DATA(-1, 1, 0) + + - 3/16 x DATA(1, 0, 1) + 3/16 x DATA(0, 1, 1) - 3/16 x DATA(1, 1, 1) + + - 3/16 x DATA(1, 2, -1) - 1/16 x DATA(-1, 2, -1) + 1/16 x DATA(2, 1, -1) + + + 1/16 x DATA(2, 0, 0) + 1/16 x DATA(2, -1, 0) - 3/16 x DATA(1, 2, 0) + + + 3/16 x DATA(0, 2, 0) - 1/16 x DATA(-1, 2, 0) + 1/16 x DATA(2, 2, 0) + + + 1/16 x DATA(2, -1, 1) - 1/16 x DATA(-1, 2, 1) + 1/16 x DATA(2, 1, 1) + + - 3/16 x DATA(1, 2, 1) + 3/16 x DATA(0, 2, 1) - 1/16 x DATA(-1, -1, 2) + + + 1/16 x DATA(2, 2, 1) - 3/16 x DATA(1, -1, 2) + 1/16 x DATA(2, 0, 2) + + + 3/16 x DATA(0, 0, 2) - 1/16 x DATA(-1, 0, 2) - 3/16 x DATA(1, 1, 2) + + - 3/16 x DATA(1, -1, 0) - 1/16 x DATA(-1, 0, 0) - 1/16 x DATA(-1, 1, 0) + +> coeffs_as_lc_of_data(%, posn_list_3d_size4); +bytes used=466327912, alloc=4914300, time=49.31 +bytes used=467328084, alloc=4914300, time=49.38 +bytes used=468328536, alloc=4914300, time=49.45 +bytes used=469328704, alloc=4914300, time=49.52 +bytes used=470333744, alloc=4914300, time=49.60 +[COEFF(-1, -1, -1) = - 3/80 y - 1/16 x + 1/10 - 3/80 z, + + 13 + COEFF(0, -1, -1) = - -- + 3/16 x + 3/80 y + 3/80 z, + 80 + + COEFF(1, -1, -1) = - 3/16 x + 3/80 y + 1/40 + 3/80 z, + + COEFF(2, -1, -1) = 3/80 - 3/80 y - 3/80 z + 1/16 x, + + COEFF(-1, 0, -1) = - 1/80 y - 3/80 z + 7/80 - 1/16 x, + + COEFF(0, 0, -1) = - 3/20 + 1/80 y + 3/80 z + 3/16 x, + + COEFF(1, 0, -1) = 3/80 - 3/16 x + 3/80 z + 1/80 y, + + COEFF(2, 0, -1) = - 1/80 y + 1/16 x - 3/80 z + 1/40, + + COEFF(-1, 1, -1) = 1/80 y + 3/40 - 1/16 x - 3/80 z, + + 11 + COEFF(0, 1, -1) = 3/80 z - 1/80 y + 3/16 x - --, + 80 + + COEFF(1, 1, -1) = - 3/16 x + 3/80 z + 1/20 - 1/80 y, + + COEFF(2, 1, -1) = - 3/80 z + 1/16 x + 1/80 y + 1/80, + + COEFF(-1, 2, -1) = 1/16 - 1/16 x - 3/80 z + 3/80 y, + + COEFF(0, 2, -1) = 3/16 x - 1/8 - 3/80 y + 3/80 z, + + COEFF(1, 2, -1) = 1/16 + 3/80 z - 3/80 y - 3/16 x, + + COEFF(2, 2, -1) = 3/80 y - 3/80 z + 1/16 x, + + COEFF(-1, -1, 0) = - 1/80 z - 1/16 x - 3/80 y + 7/80, + + COEFF(0, -1, 0) = 3/16 x + 1/80 z - 3/20 + 3/80 y, + + COEFF(1, -1, 0) = 3/80 + 3/80 y - 3/16 x + 1/80 z, + + COEFF(2, -1, 0) = 1/40 - 3/80 y - 1/80 z + 1/16 x, + + COEFF(-1, 0, 0) = - 1/80 z - 1/80 y + 3/40 - 1/16 x, + + 11 + COEFF(0, 0, 0) = 3/16 x - -- + 1/80 y + 1/80 z, + 80 + + COEFF(1, 0, 0) = 1/20 + 1/80 y + 1/80 z - 3/16 x, + + COEFF(2, 0, 0) = 1/16 x - 1/80 z + 1/80 - 1/80 y, + + COEFF(-1, 1, 0) = 1/80 y + 1/16 - 1/80 z - 1/16 x, + + COEFF(0, 1, 0) = 1/80 z + 3/16 x - 1/80 y - 1/8, + + COEFF(1, 1, 0) = - 1/80 y - 3/16 x + 1/16 + 1/80 z, + + COEFF(2, 1, 0) = 1/80 y + 1/16 x - 1/80 z, + + COEFF(-1, 2, 0) = 3/80 y + 1/20 - 1/80 z - 1/16 x, + + COEFF(0, 2, 0) = 1/80 z - 9/80 - 3/80 y + 3/16 x, + + COEFF(1, 2, 0) = - 3/80 y + 1/80 z + 3/40 - 3/16 x, + + COEFF(2, 2, 0) = - 1/80 z + 1/16 x - 1/80 + 3/80 y, + + COEFF(-1, -1, 1) = - 3/80 y + 3/40 - 1/16 x + 1/80 z, + + 11 + COEFF(0, -1, 1) = - 1/80 z + 3/16 x + 3/80 y - --, + 80 + + COEFF(1, -1, 1) = - 1/80 z + 3/80 y - 3/16 x + 1/20, + + COEFF(2, -1, 1) = 1/80 z + 1/16 x + 1/80 - 3/80 y, + + COEFF(-1, 0, 1) = - 1/16 x + 1/80 z + 1/16 - 1/80 y, + + COEFF(0, 0, 1) = - 1/8 - 1/80 z + 3/16 x + 1/80 y, + + COEFF(1, 0, 1) = 1/16 + 1/80 y - 3/16 x - 1/80 z, + + COEFF(2, 0, 1) = 1/80 z - 1/80 y + 1/16 x, + + COEFF(-1, 1, 1) = 1/20 + 1/80 y + 1/80 z - 1/16 x, + + COEFF(0, 1, 1) = - 9/80 + 3/16 x - 1/80 z - 1/80 y, + + COEFF(1, 1, 1) = 3/40 - 1/80 z - 3/16 x - 1/80 y, + + COEFF(2, 1, 1) = 1/80 y + 1/80 z - 1/80 + 1/16 x, + + COEFF(-1, 2, 1) = 1/80 z + 3/80 + 3/80 y - 1/16 x, + + COEFF(0, 2, 1) = - 1/80 z + 3/16 x - 1/10 - 3/80 y, + + COEFF(1, 2, 1) = - 1/80 z + 7/80 - 3/80 y - 3/16 x, + + COEFF(2, 2, 1) = 3/80 y + 1/80 z - 1/40 + 1/16 x, + + COEFF(-1, -1, 2) = - 1/16 x + 1/16 + 3/80 z - 3/80 y, + + COEFF(0, -1, 2) = - 1/8 - 3/80 z + 3/16 x + 3/80 y, + + COEFF(1, -1, 2) = - 3/16 x - 3/80 z + 3/80 y + 1/16, + + COEFF(2, -1, 2) = 1/16 x + 3/80 z - 3/80 y, + + COEFF(-1, 0, 2) = 3/80 z + 1/20 - 1/16 x - 1/80 y, + + COEFF(0, 0, 2) = 3/16 x - 3/80 z - 9/80 + 1/80 y, + + COEFF(1, 0, 2) = - 3/80 z + 1/80 y - 3/16 x + 3/40, + + COEFF(2, 0, 2) = - 1/80 + 3/80 z + 1/16 x - 1/80 y, + + COEFF(-1, 1, 2) = 1/80 y + 3/80 z - 1/16 x + 3/80, + + COEFF(0, 1, 2) = - 1/10 + 3/16 x - 1/80 y - 3/80 z, + + COEFF(1, 1, 2) = 7/80 - 1/80 y - 3/80 z - 3/16 x, + + COEFF(2, 1, 2) = 3/80 z - 1/40 + 1/16 x + 1/80 y, + + COEFF(-1, 2, 2) = 1/40 + 3/80 z + 3/80 y - 1/16 x, + + COEFF(0, 2, 2) = - 7/80 - 3/80 z + 3/16 x - 3/80 y, + + COEFF(1, 2, 2) = - 3/80 y + 1/10 - 3/16 x - 3/80 z, + + COEFF(2, 2, 2) = - 3/80 + 3/80 z + 1/16 x + 3/80 y] + +> print_coeffs__lc_of_data(%, "coeffs_dxx->coeff_", "fp", +> "3d.coeffs/3d.cube.order3.smooth0/coeffs-dxx.compute.c"); +bytes used=471334096, alloc=4914300, time=49.68 +bytes used=472334324, alloc=4914300, time=49.74 +bytes used=473334528, alloc=4914300, time=49.89 +bytes used=474334756, alloc=4914300, time=49.98 +bytes used=475334916, alloc=4914300, time=50.24 +bytes used=476335148, alloc=4914300, time=50.30 +bytes used=477335324, alloc=4914300, time=50.38 +bytes used=478338460, alloc=4914300, time=50.46 +bytes used=479338740, alloc=4914300, time=50.73 +bytes used=480338972, alloc=4914300, time=50.86 +bytes used=481339228, alloc=4914300, time=51.17 +bytes used=482339540, alloc=4914300, time=51.35 +> +# d^2/dxdy +> simplify( diff(interp_3d_cube_order3_smooth0,x,y) ); + 13 13 19 +---- DATA(0, 2, -1) + ---- DATA(2, 0, -1) - ---- DATA(0, -1, 2) +1000 1000 2000 + + 11 + + --- DATA(0, 2, 2) - 1/1000 DATA(1, 0, 2) - 1/2000 DATA(-1, 0, -1) + 500 + + 19 + - 9/250 DATA(2, -1, -1) - ---- DATA(0, 0, 0) - 3/1000 DATA(1, 0, 0) + 2000 + + 31 21 + - 3/1000 DATA(0, 1, 0) + ---- DATA(1, 1, 0) - ---- DATA(0, 0, 1) + 2000 2000 + + 29 + - 1/500 DATA(1, 0, 1) - 1/500 DATA(0, 1, 1) + ---- DATA(1, 1, 1) + 2000 + + 49 + - 3/2000 DATA(2, 2, -1) + ---- DATA(1, 2, -1) - 9/250 DATA(-1, 2, -1) + 2000 + + 49 27 + + ---- DATA(2, 1, -1) + 2/125 DATA(2, 0, 0) - ---- DATA(2, -1, 0) + 2000 1000 + + 43 27 + + ---- DATA(1, 2, 0) + 2/125 DATA(0, 2, 0) - ---- DATA(-1, 2, 0) + 2000 1000 + + 43 21 + + ---- DATA(2, 1, 0) - ---- DATA(2, 2, 0) - 9/500 DATA(2, -1, 1) + 2000 2000 + + 19 37 + + ---- DATA(2, 0, 1) - 9/500 DATA(-1, 2, 1) + ---- DATA(2, 1, 1) + 1000 2000 + + 37 19 93 + + ---- DATA(1, 2, 1) + ---- DATA(0, 2, 1) + ---- DATA(-1, -1, 2) + 2000 1000 2000 + + 39 11 + - ---- DATA(2, 2, 1) - 7/250 DATA(1, -1, 2) + --- DATA(2, 0, 2) + 2000 500 + + 23 19 + - ---- DATA(0, 0, 2) - ---- DATA(-1, 0, 2) - 9/1000 DATA(2, -1, 2) + 2000 2000 + + 27 + + ---- DATA(1, 1, 2) - 1/1000 DATA(0, 1, 2) - 7/250 DATA(-1, 1, 2) + 2000 + + 31 31 + - 9/1000 DATA(-1, 2, 2) + ---- DATA(2, 1, 2) + ---- DATA(1, 2, 2) + 2000 2000 + + 17 + - 7/2000 DATA(0, -1, 0) - --- DATA(1, -1, 0) - 7/2000 DATA(-1, 0, 0) + 500 + + 17 111 13 + - --- DATA(-1, 1, 0) + ---- DATA(-1, -1, 1) - ---- DATA(0, -1, 1) + 500 2000 2000 + + 31 13 31 + - ---- DATA(1, -1, 1) - ---- DATA(-1, 0, 1) - ---- DATA(-1, 1, 1) + 1000 2000 1000 + + 17 37 + - ---- DATA(0, 0, -1) - 1/250 DATA(1, 0, -1) - ---- DATA(-1, 1, -1) + 2000 1000 + + 33 129 + - 1/250 DATA(0, 1, -1) + ---- DATA(1, 1, -1) + ---- DATA(-1, -1, 0) + 2000 2000 + + 147 37 + + ---- DATA(-1, -1, -1) - 1/2000 DATA(0, -1, -1) - ---- DATA(1, -1, -1) + 2000 1000 + + 57 27 + - ---- DATA(2, 2, 2) - 3/1000 z DATA(0, 1, 2) - ---- z DATA(-1, 2, 2) + 2000 1000 + + 27 + - ---- z DATA(2, -1, 2) - 3/1000 z DATA(1, 0, 2) - 3/80 y DATA(-1, 2, 2) + 1000 + + - 1/80 y DATA(0, 2, 1) + 1/80 y DATA(1, 2, 0) + 3/80 y DATA(2, 2, -1) + + + 3/80 x DATA(2, 2, -1) - 3/80 x DATA(2, -1, 2) + 1/80 x DATA(2, 1, 0) + + - 1/80 x DATA(2, 0, 1) - 3/80 x DATA(-1, -1, -1) + 3/80 x DATA(0, -1, -1) + + + 3/80 x DATA(1, -1, -1) + 3/80 x DATA(2, 2, 2) + 3/80 x DATA(0, -1, 1) + + + 3/80 x DATA(-1, 2, 2) + 1/80 x DATA(2, 1, 2) - 3/80 x DATA(1, 2, 2) + + + 3/80 x DATA(0, -1, 0) + 3/1000 z DATA(1, 2, 1) - 3/1000 z DATA(0, 2, 1) + + 27 + + ---- z DATA(-1, -1, 2) + 9/1000 z DATA(2, 2, 1) + 1000 + + - 9/1000 z DATA(1, -1, 2) - 9/1000 z DATA(2, 0, 2) + + + 3/1000 z DATA(0, 0, 2) + 9/1000 z DATA(-1, 0, 2) + + + 3/1000 z DATA(1, 1, 2) - 9/1000 z DATA(-1, 1, 2) + + + 9/1000 z DATA(0, 2, -1) + 9/1000 z DATA(-1, -1, 1) + + - 3/1000 z DATA(1, -1, 1) + 3/1000 z DATA(0, 2, 0) + + - 9/1000 z DATA(2, 1, -1) + 9/1000 z DATA(2, -1, 0) + + + 3/1000 z DATA(2, 0, 0) + 9/1000 z DATA(2, 0, -1) + + + 9/1000 z DATA(0, -1, 2) - 9/1000 z DATA(0, 2, 2) + + 27 + - 9/1000 z DATA(-1, 0, -1) + ---- z DATA(2, -1, -1) + 1000 + + - 1/1000 z DATA(0, 0, 0) + 1/1000 z DATA(1, 0, 0) + 1/1000 z DATA(0, 1, 0) + + - 1/1000 z DATA(1, 1, 0) + 1/1000 z DATA(0, 0, 1) - 1/1000 z DATA(1, 0, 1) + + 27 + - 1/1000 z DATA(0, 1, 1) + 1/1000 z DATA(1, 1, 1) - ---- z DATA(2, 2, -1) + 1000 + + 27 + - 9/1000 z DATA(1, 2, -1) + ---- z DATA(-1, 2, -1) + 1000 + + - 3/1000 z DATA(-1, 0, 0) + 3/1000 z DATA(-1, 1, 0) + + - 3/1000 z DATA(-1, 1, 1) - 3/1000 z DATA(1, 2, 0) + + + 9/1000 z DATA(-1, 2, 0) - 3/1000 z DATA(2, 1, 0) + + - 9/1000 z DATA(2, 2, 0) - 9/1000 z DATA(2, -1, 1) + + - 3/1000 z DATA(2, 0, 1) - 9/1000 z DATA(-1, 2, 1) + + + 3/1000 z DATA(2, 1, 1) + 3/1000 z DATA(-1, 0, 1) + + - 3/1000 z DATA(0, 0, -1) + 3/1000 z DATA(1, 0, -1) + + + 9/1000 z DATA(-1, 1, -1) + 3/1000 z DATA(0, 1, -1) + + - 3/1000 z DATA(1, 1, -1) - 9/1000 z DATA(-1, -1, 0) + + 27 + - ---- z DATA(-1, -1, -1) - 9/1000 z DATA(0, -1, -1) + 1000 + + 27 + + 9/1000 z DATA(1, -1, -1) + ---- z DATA(2, 2, 2) + 1000 + + + 3/1000 z DATA(0, -1, 1) + 9/1000 z DATA(2, 1, 2) + + + 9/1000 z DATA(1, 2, 2) - 3/1000 z DATA(0, -1, 0) + + + 3/1000 z DATA(1, -1, 0) + 3/80 y DATA(-1, 0, 2) + 3/80 y DATA(2, -1, 2) + + - 1/80 y DATA(1, 1, 2) + 1/80 y DATA(0, 1, 2) + 3/80 y DATA(-1, 1, 2) + + - 1/80 y DATA(0, 2, -1) - 3/80 y DATA(-1, -1, 1) + 1/80 y DATA(1, -1, 1) + + + 3/80 y DATA(-1, 0, 1) + 3/80 y DATA(-1, 1, 1) + 1/80 y DATA(0, 0, -1) + + - 1/80 y DATA(1, 0, -1) + 3/80 y DATA(-1, 1, -1) + 1/80 y DATA(0, 1, -1) + + - 1/80 y DATA(1, 1, -1) - 3/80 y DATA(-1, -1, 0) - 3/80 y DATA(-1, -1, -1) + + - 1/80 y DATA(0, -1, -1) + 1/80 y DATA(1, -1, -1) + 3/80 y DATA(2, 2, 2) + + - 3/80 y DATA(2, 1, -1) - 3/80 y DATA(2, 0, 0) - 1/80 y DATA(0, -1, 2) + + + 3/80 x DATA(0, -1, 2) - 3/80 x DATA(0, 2, 2) + 1/80 x DATA(1, 0, 2) + + - 1/80 x DATA(-1, 0, -1) - 3/80 x DATA(2, -1, -1) + 1/80 x DATA(0, 0, 0) + + + 1/80 x DATA(1, 0, 0) - 1/80 x DATA(0, 1, 0) - 1/80 x DATA(1, 1, 0) + + + 1/80 x DATA(0, 0, 1) - 1/80 x DATA(2, 0, -1) + 3/80 y DATA(-1, 0, -1) + + + 3/80 y DATA(2, -1, -1) + 1/80 y DATA(0, 0, 0) - 1/80 y DATA(1, 0, 0) + + + 1/80 y DATA(0, 1, 0) - 1/80 y DATA(1, 1, 0) + 1/80 y DATA(0, 0, 1) + + - 1/80 y DATA(1, 0, 1) + 1/80 y DATA(0, 1, 1) - 1/80 y DATA(1, 1, 1) + + + 1/80 y DATA(1, 2, -1) - 3/80 y DATA(-1, 2, -1) + 3/80 y DATA(2, -1, 0) + + - 1/80 y DATA(0, 2, 0) - 3/80 y DATA(-1, 2, 0) - 3/80 y DATA(2, 1, 0) + + + 3/80 y DATA(2, 2, 0) + 3/80 y DATA(2, -1, 1) - 3/80 y DATA(2, 0, 1) + + - 3/80 y DATA(-1, 2, 1) - 3/80 y DATA(2, 1, 1) + 1/80 y DATA(1, 2, 1) + + - 3/80 y DATA(-1, -1, 2) + 3/80 y DATA(2, 2, 1) + 1/80 y DATA(1, -1, 2) + + - 3/80 y DATA(2, 0, 2) + 1/80 y DATA(0, 0, 2) - 3/80 y DATA(2, 0, -1) + + - 1/80 y DATA(0, 2, 2) - 1/80 y DATA(1, 0, 2) - 1/80 x DATA(0, 1, 2) + + + 1/80 x DATA(-1, 1, 2) - 3/80 x DATA(0, 2, -1) - 3/80 x DATA(-1, -1, 1) + + + 3/80 x DATA(1, -1, 1) - 1/80 x DATA(-1, 0, 1) + 1/80 x DATA(-1, 1, 1) + + + 1/80 x DATA(0, 0, -1) + 1/80 x DATA(1, 0, -1) + 1/80 x DATA(-1, 1, -1) + + - 1/80 x DATA(0, 1, -1) - 1/80 x DATA(1, 1, -1) - 3/80 x DATA(-1, -1, 0) + + - 1/80 y DATA(0, -1, 1) - 3/80 y DATA(2, 1, 2) + 1/80 y DATA(1, 2, 2) + + - 1/80 y DATA(0, -1, 0) + 1/80 y DATA(1, -1, 0) + 3/80 y DATA(-1, 0, 0) + + + 3/80 y DATA(-1, 1, 0) + 1/80 x DATA(1, 0, 1) - 1/80 x DATA(0, 1, 1) + + - 1/80 x DATA(1, 1, 1) - 3/80 x DATA(1, 2, -1) + 3/80 x DATA(-1, 2, -1) + + + 1/80 x DATA(2, 1, -1) - 1/80 x DATA(2, 0, 0) - 3/80 x DATA(2, -1, 0) + + - 3/80 x DATA(1, 2, 0) - 3/80 x DATA(0, 2, 0) + 3/80 x DATA(-1, 2, 0) + + + 3/80 x DATA(2, 2, 0) - 3/80 x DATA(2, -1, 1) + 3/80 x DATA(-1, 2, 1) + + + 1/80 x DATA(2, 1, 1) - 3/80 x DATA(1, 2, 1) - 3/80 x DATA(0, 2, 1) + + - 3/80 x DATA(-1, -1, 2) + 3/80 x DATA(2, 2, 1) + 3/80 x DATA(1, -1, 2) + + - 1/80 x DATA(2, 0, 2) + 1/80 x DATA(0, 0, 2) - 1/80 x DATA(-1, 0, 2) + + - 1/80 x DATA(1, 1, 2) + 3/80 x DATA(1, -1, 0) - 1/80 x DATA(-1, 0, 0) + + + 1/80 x DATA(-1, 1, 0) + +> coeffs_as_lc_of_data(%, posn_list_3d_size4); +bytes used=483339844, alloc=4914300, time=51.43 +bytes used=484340016, alloc=4914300, time=51.50 +bytes used=485340380, alloc=4914300, time=51.57 +bytes used=486353448, alloc=4914300, time=51.64 +bytes used=487353608, alloc=4914300, time=51.72 + 27 147 +[COEFF(-1, -1, -1) = - ---- z + ---- - 3/80 x - 3/80 y, + 1000 2000 + + COEFF(0, -1, -1) = - 9/1000 z + 3/80 x - 1/80 y - 1/2000, + + 37 + COEFF(1, -1, -1) = 3/80 x + 9/1000 z + 1/80 y - ----, + 1000 + + 27 + COEFF(2, -1, -1) = ---- z + 3/80 y - 3/80 x - 9/250, + 1000 + + COEFF(-1, 0, -1) = - 1/80 x + 3/80 y - 9/1000 z - 1/2000, + + 17 + COEFF(0, 0, -1) = 1/80 x - 3/1000 z - ---- + 1/80 y, + 2000 + + COEFF(1, 0, -1) = - 1/80 y + 1/80 x - 1/250 + 3/1000 z, + + 13 + COEFF(2, 0, -1) = - 3/80 y - 1/80 x + ---- + 9/1000 z, + 1000 + + 37 + COEFF(-1, 1, -1) = 9/1000 z - ---- + 1/80 x + 3/80 y, + 1000 + + COEFF(0, 1, -1) = 3/1000 z + 1/80 y - 1/250 - 1/80 x, + + 33 + COEFF(1, 1, -1) = ---- - 3/1000 z - 1/80 y - 1/80 x, + 2000 + + 49 + COEFF(2, 1, -1) = - 3/80 y + ---- + 1/80 x - 9/1000 z, + 2000 + + 27 + COEFF(-1, 2, -1) = ---- z + 3/80 x - 3/80 y - 9/250, + 1000 + + 13 + COEFF(0, 2, -1) = 9/1000 z + ---- - 3/80 x - 1/80 y, + 1000 + + 49 + COEFF(1, 2, -1) = - 9/1000 z + 1/80 y - 3/80 x + ----, + 2000 + + 27 + COEFF(2, 2, -1) = 3/80 y + 3/80 x - 3/2000 - ---- z, + 1000 + + 129 + COEFF(-1, -1, 0) = ---- - 3/80 y - 9/1000 z - 3/80 x, + 2000 + + COEFF(0, -1, 0) = - 7/2000 - 3/1000 z - 1/80 y + 3/80 x, + + 17 + COEFF(1, -1, 0) = - --- + 3/80 x + 1/80 y + 3/1000 z, + 500 + + 27 + COEFF(2, -1, 0) = 3/80 y - 3/80 x + 9/1000 z - ----, + 1000 + + COEFF(-1, 0, 0) = - 7/2000 + 3/80 y - 1/80 x - 3/1000 z, + + 19 + COEFF(0, 0, 0) = - ---- + 1/80 x + 1/80 y - 1/1000 z, + 2000 + + COEFF(1, 0, 0) = 1/1000 z - 3/1000 + 1/80 x - 1/80 y, + + COEFF(2, 0, 0) = 3/1000 z - 3/80 y + 2/125 - 1/80 x, + + 17 + COEFF(-1, 1, 0) = - --- + 3/80 y + 1/80 x + 3/1000 z, + 500 + + COEFF(0, 1, 0) = 1/1000 z - 1/80 x - 3/1000 + 1/80 y, + + 31 + COEFF(1, 1, 0) = - 1/80 x - 1/80 y - 1/1000 z + ----, + 2000 + + 43 + COEFF(2, 1, 0) = - 3/80 y + ---- + 1/80 x - 3/1000 z, + 2000 + + 27 + COEFF(-1, 2, 0) = - ---- + 3/80 x - 3/80 y + 9/1000 z, + 1000 + + COEFF(0, 2, 0) = 2/125 - 1/80 y + 3/1000 z - 3/80 x, + + 43 + COEFF(1, 2, 0) = - 3/80 x - 3/1000 z + 1/80 y + ----, + 2000 + + 21 + COEFF(2, 2, 0) = - 9/1000 z + 3/80 x - ---- + 3/80 y, + 2000 + + 111 + COEFF(-1, -1, 1) = - 3/80 y - 3/80 x + ---- + 9/1000 z, + 2000 + + 13 + COEFF(0, -1, 1) = 3/80 x + 3/1000 z - 1/80 y - ----, + 2000 + + 31 + COEFF(1, -1, 1) = 3/80 x - ---- - 3/1000 z + 1/80 y, + 1000 + + COEFF(2, -1, 1) = - 9/500 - 9/1000 z - 3/80 x + 3/80 y, + + 13 + COEFF(-1, 0, 1) = - ---- - 1/80 x + 3/1000 z + 3/80 y, + 2000 + + 21 + COEFF(0, 0, 1) = 1/80 x + 1/1000 z - ---- + 1/80 y, + 2000 + + COEFF(1, 0, 1) = - 1/500 + 1/80 x - 1/80 y - 1/1000 z, + + 19 + COEFF(2, 0, 1) = - 3/1000 z - 3/80 y + ---- - 1/80 x, + 1000 + + 31 + COEFF(-1, 1, 1) = - 3/1000 z + 1/80 x + 3/80 y - ----, + 1000 + + COEFF(0, 1, 1) = - 1/1000 z - 1/80 x + 1/80 y - 1/500, + + 29 + COEFF(1, 1, 1) = - 1/80 x + 1/1000 z + ---- - 1/80 y, + 2000 + + 37 + COEFF(2, 1, 1) = 3/1000 z + 1/80 x - 3/80 y + ----, + 2000 + + COEFF(-1, 2, 1) = - 3/80 y + 3/80 x - 9/500 - 9/1000 z, + + 19 + COEFF(0, 2, 1) = ---- - 1/80 y - 3/1000 z - 3/80 x, + 1000 + + 37 + COEFF(1, 2, 1) = 1/80 y + 3/1000 z + ---- - 3/80 x, + 2000 + + 39 + COEFF(2, 2, 1) = 3/80 x + 9/1000 z - ---- + 3/80 y, + 2000 + + 93 27 + COEFF(-1, -1, 2) = - 3/80 x + ---- + ---- z - 3/80 y, + 2000 1000 + + 19 + COEFF(0, -1, 2) = - ---- + 9/1000 z - 1/80 y + 3/80 x, + 2000 + + COEFF(1, -1, 2) = - 9/1000 z - 7/250 + 3/80 x + 1/80 y, + + 27 + COEFF(2, -1, 2) = - ---- z - 3/80 x + 3/80 y - 9/1000, + 1000 + + 19 + COEFF(-1, 0, 2) = - 1/80 x + 3/80 y + 9/1000 z - ----, + 2000 + + 23 + COEFF(0, 0, 2) = 1/80 x - ---- + 1/80 y + 3/1000 z, + 2000 + + COEFF(1, 0, 2) = 1/80 x - 3/1000 z - 1/1000 - 1/80 y, + + 11 + COEFF(2, 0, 2) = - 9/1000 z - 1/80 x + --- - 3/80 y, + 500 + + COEFF(-1, 1, 2) = 3/80 y + 1/80 x - 7/250 - 9/1000 z, + + COEFF(0, 1, 2) = - 1/1000 - 1/80 x + 1/80 y - 3/1000 z, + + 27 + COEFF(1, 1, 2) = - 1/80 y + ---- + 3/1000 z - 1/80 x, + 2000 + + 31 + COEFF(2, 1, 2) = 1/80 x + ---- + 9/1000 z - 3/80 y, + 2000 + + 27 + COEFF(-1, 2, 2) = - ---- z - 3/80 y - 9/1000 + 3/80 x, + 1000 + + 11 + COEFF(0, 2, 2) = - 1/80 y + --- - 3/80 x - 9/1000 z, + 500 + + 31 + COEFF(1, 2, 2) = - 3/80 x + 9/1000 z + ---- + 1/80 y, + 2000 + + 27 57 + COEFF(2, 2, 2) = ---- z + 3/80 y - ---- + 3/80 x] + 1000 2000 + +> print_coeffs__lc_of_data(%, "coeffs_dxy->coeff_", "fp", +> "3d.coeffs/3d.cube.order3.smooth0/coeffs-dxy.compute.c"); +bytes used=488353760, alloc=4914300, time=51.79 +bytes used=489354100, alloc=4914300, time=51.85 +bytes used=490354256, alloc=4914300, time=51.96 +bytes used=491354508, alloc=4914300, time=52.04 +bytes used=492354684, alloc=4914300, time=52.38 +bytes used=493354892, alloc=4914300, time=52.45 +bytes used=494355080, alloc=4914300, time=52.53 +bytes used=495355288, alloc=4914300, time=52.63 +bytes used=496355440, alloc=4914300, time=52.90 +bytes used=497355604, alloc=4914300, time=53.15 +bytes used=498355804, alloc=4914300, time=53.24 +bytes used=499355960, alloc=4914300, time=53.62 +bytes used=500356244, alloc=4914300, time=53.72 +> +# d^2/dxdz +> simplify( diff(interp_3d_cube_order3_smooth0,x,z) ); + 19 27 13 +- ---- DATA(0, 2, -1) - ---- DATA(2, 0, -1) + ---- DATA(0, -1, 2) + 2000 1000 1000 + + 11 43 129 + + --- DATA(0, 2, 2) + ---- DATA(1, 0, 2) + ---- DATA(-1, 0, -1) + 500 2000 2000 + + 19 + - 9/250 DATA(2, -1, -1) - ---- DATA(0, 0, 0) - 3/1000 DATA(1, 0, 0) + 2000 + + 21 + - ---- DATA(0, 1, 0) - 1/500 DATA(1, 1, 0) - 3/1000 DATA(0, 0, 1) + 2000 + + 31 29 + + ---- DATA(1, 0, 1) - 1/500 DATA(0, 1, 1) + ---- DATA(1, 1, 1) + 2000 2000 + + 93 + - 9/1000 DATA(2, 2, -1) - 7/250 DATA(1, 2, -1) + ---- DATA(-1, 2, -1) + 2000 + + 13 + - 9/500 DATA(2, 1, -1) + 2/125 DATA(2, 0, 0) + ---- DATA(2, -1, 0) + 1000 + + 23 19 + - 1/1000 DATA(1, 2, 0) - ---- DATA(0, 2, 0) - ---- DATA(-1, 2, 0) + 2000 2000 + + 19 11 49 + + ---- DATA(2, 1, 0) + --- DATA(2, 2, 0) + ---- DATA(2, -1, 1) + 1000 500 2000 + + 43 37 + + ---- DATA(2, 0, 1) - 7/250 DATA(-1, 2, 1) + ---- DATA(2, 1, 1) + 2000 2000 + + 27 + + ---- DATA(1, 2, 1) - 1/1000 DATA(0, 2, 1) - 9/250 DATA(-1, -1, 2) + 2000 + + 31 49 21 + + ---- DATA(2, 2, 1) + ---- DATA(1, -1, 2) - ---- DATA(2, 0, 2) + 2000 2000 2000 + + 27 + + 2/125 DATA(0, 0, 2) - ---- DATA(-1, 0, 2) - 3/2000 DATA(2, -1, 2) + 1000 + + 37 19 + + ---- DATA(1, 1, 2) + ---- DATA(0, 1, 2) - 9/500 DATA(-1, 1, 2) + 2000 1000 + + 39 31 + - 9/1000 DATA(-1, 2, 2) - ---- DATA(2, 1, 2) + ---- DATA(1, 2, 2) + 2000 2000 + + 17 + - ---- DATA(0, -1, 0) - 1/250 DATA(1, -1, 0) - 7/2000 DATA(-1, 0, 0) + 2000 + + 13 37 + - ---- DATA(-1, 1, 0) - ---- DATA(-1, -1, 1) - 1/250 DATA(0, -1, 1) + 2000 1000 + + 33 17 31 + + ---- DATA(1, -1, 1) - --- DATA(-1, 0, 1) - ---- DATA(-1, 1, 1) + 2000 500 1000 + + 17 111 + - 7/2000 DATA(0, 0, -1) - --- DATA(1, 0, -1) + ---- DATA(-1, 1, -1) + 500 2000 + + 13 31 + - ---- DATA(0, 1, -1) - ---- DATA(1, 1, -1) - 1/2000 DATA(-1, -1, 0) + 2000 1000 + + 147 37 + + ---- DATA(-1, -1, -1) - 1/2000 DATA(0, -1, -1) - ---- DATA(1, -1, -1) + 2000 1000 + + 57 + - ---- DATA(2, 2, 2) - 1/80 z DATA(0, 1, 2) - 3/80 z DATA(-1, 2, 2) + 2000 + + 27 + + 3/80 z DATA(2, -1, 2) + 1/80 z DATA(1, 0, 2) - ---- y DATA(-1, 2, 2) + 1000 + + 27 + - 3/1000 y DATA(0, 2, 1) - 3/1000 y DATA(1, 2, 0) - ---- y DATA(2, 2, -1) + 1000 + + - 3/80 x DATA(2, 2, -1) + 3/80 x DATA(2, -1, 2) - 1/80 x DATA(2, 1, 0) + + + 1/80 x DATA(2, 0, 1) - 3/80 x DATA(-1, -1, -1) + 3/80 x DATA(0, -1, -1) + + + 3/80 x DATA(1, -1, -1) + 3/80 x DATA(2, 2, 2) - 1/80 x DATA(0, -1, 1) + + + 3/80 x DATA(-1, 2, 2) + 3/80 x DATA(2, 1, 2) - 3/80 x DATA(1, 2, 2) + + + 1/80 x DATA(0, -1, 0) - 1/80 z DATA(1, 2, 1) + 1/80 z DATA(0, 2, 1) + + - 3/80 z DATA(-1, -1, 2) - 3/80 z DATA(2, 2, 1) + 1/80 z DATA(1, -1, 2) + + + 3/80 z DATA(2, 0, 2) - 1/80 z DATA(0, 0, 2) - 3/80 z DATA(-1, 0, 2) + + + 1/80 z DATA(1, 1, 2) - 3/80 z DATA(-1, 1, 2) - 1/80 z DATA(0, 2, -1) + + + 3/80 z DATA(-1, -1, 1) - 1/80 z DATA(1, -1, 1) + 1/80 z DATA(0, 2, 0) + + + 3/80 z DATA(2, 1, -1) - 3/80 z DATA(2, -1, 0) - 3/80 z DATA(2, 0, 0) + + + 3/80 z DATA(2, 0, -1) - 1/80 z DATA(0, -1, 2) - 1/80 z DATA(0, 2, 2) + + - 3/80 z DATA(-1, 0, -1) + 3/80 z DATA(2, -1, -1) + 1/80 z DATA(0, 0, 0) + + - 1/80 z DATA(1, 0, 0) + 1/80 z DATA(0, 1, 0) - 1/80 z DATA(1, 1, 0) + + + 1/80 z DATA(0, 0, 1) - 1/80 z DATA(1, 0, 1) + 1/80 z DATA(0, 1, 1) + + - 1/80 z DATA(1, 1, 1) + 3/80 z DATA(2, 2, -1) + 1/80 z DATA(1, 2, -1) + + - 3/80 z DATA(-1, 2, -1) + 3/80 z DATA(-1, 0, 0) + 3/80 z DATA(-1, 1, 0) + + + 3/80 z DATA(-1, 1, 1) - 1/80 z DATA(1, 2, 0) + 3/80 z DATA(-1, 2, 0) + + - 3/80 z DATA(2, 1, 0) - 3/80 z DATA(2, 2, 0) - 3/80 z DATA(2, -1, 1) + + - 3/80 z DATA(2, 0, 1) + 3/80 z DATA(-1, 2, 1) - 3/80 z DATA(2, 1, 1) + + + 3/80 z DATA(-1, 0, 1) - 1/80 z DATA(0, 0, -1) + 1/80 z DATA(1, 0, -1) + + - 3/80 z DATA(-1, 1, -1) - 1/80 z DATA(0, 1, -1) + 1/80 z DATA(1, 1, -1) + + + 3/80 z DATA(-1, -1, 0) - 3/80 z DATA(-1, -1, -1) + + - 1/80 z DATA(0, -1, -1) + 1/80 z DATA(1, -1, -1) + 3/80 z DATA(2, 2, 2) + + + 1/80 z DATA(0, -1, 1) + 3/80 z DATA(2, 1, 2) + 1/80 z DATA(1, 2, 2) + + + 1/80 z DATA(0, -1, 0) - 1/80 z DATA(1, -1, 0) + 9/1000 y DATA(-1, 0, 2) + + 27 + - ---- y DATA(2, -1, 2) + 3/1000 y DATA(1, 1, 2) - 3/1000 y DATA(0, 1, 2) + 1000 + + - 9/1000 y DATA(-1, 1, 2) + 9/1000 y DATA(0, 2, -1) + + + 9/1000 y DATA(-1, -1, 1) - 3/1000 y DATA(1, -1, 1) + + + 3/1000 y DATA(-1, 0, 1) - 3/1000 y DATA(-1, 1, 1) + + - 3/1000 y DATA(0, 0, -1) + 3/1000 y DATA(1, 0, -1) + + + 9/1000 y DATA(-1, 1, -1) + 3/1000 y DATA(0, 1, -1) + + - 3/1000 y DATA(1, 1, -1) - 9/1000 y DATA(-1, -1, 0) + + 27 + - ---- y DATA(-1, -1, -1) - 9/1000 y DATA(0, -1, -1) + 1000 + + 27 + + 9/1000 y DATA(1, -1, -1) + ---- y DATA(2, 2, 2) + 1000 + + - 9/1000 y DATA(2, 1, -1) + 3/1000 y DATA(2, 0, 0) + + + 9/1000 y DATA(0, -1, 2) - 3/80 x DATA(0, -1, 2) - 3/80 x DATA(0, 2, 2) + + - 3/80 x DATA(1, 0, 2) - 3/80 x DATA(-1, 0, -1) - 3/80 x DATA(2, -1, -1) + + + 1/80 x DATA(0, 0, 0) + 1/80 x DATA(1, 0, 0) + 1/80 x DATA(0, 1, 0) + + + 1/80 x DATA(1, 1, 0) - 1/80 x DATA(0, 0, 1) - 3/80 x DATA(2, 0, -1) + + 27 + - 9/1000 y DATA(-1, 0, -1) + ---- y DATA(2, -1, -1) + 1000 + + - 1/1000 y DATA(0, 0, 0) + 1/1000 y DATA(1, 0, 0) + 1/1000 y DATA(0, 1, 0) + + - 1/1000 y DATA(1, 1, 0) + 1/1000 y DATA(0, 0, 1) - 1/1000 y DATA(1, 0, 1) + + - 1/1000 y DATA(0, 1, 1) + 1/1000 y DATA(1, 1, 1) + + 27 + - 9/1000 y DATA(1, 2, -1) + ---- y DATA(-1, 2, -1) + 1000 + + + 9/1000 y DATA(2, -1, 0) + 3/1000 y DATA(0, 2, 0) + + + 9/1000 y DATA(-1, 2, 0) - 3/1000 y DATA(2, 1, 0) + + - 9/1000 y DATA(2, 2, 0) - 9/1000 y DATA(2, -1, 1) + + - 3/1000 y DATA(2, 0, 1) - 9/1000 y DATA(-1, 2, 1) + + 27 + + 3/1000 y DATA(2, 1, 1) + 3/1000 y DATA(1, 2, 1) + ---- y DATA(-1, -1, 2) + 1000 + + + 9/1000 y DATA(2, 2, 1) - 9/1000 y DATA(1, -1, 2) + + - 9/1000 y DATA(2, 0, 2) + 3/1000 y DATA(0, 0, 2) + + + 9/1000 y DATA(2, 0, -1) - 9/1000 y DATA(0, 2, 2) + + - 3/1000 y DATA(1, 0, 2) - 3/80 x DATA(0, 1, 2) + 3/80 x DATA(-1, 1, 2) + + + 3/80 x DATA(0, 2, -1) + 1/80 x DATA(-1, -1, 1) - 1/80 x DATA(1, -1, 1) + + + 1/80 x DATA(-1, 0, 1) + 1/80 x DATA(-1, 1, 1) + 3/80 x DATA(0, 0, -1) + + + 3/80 x DATA(1, 0, -1) - 3/80 x DATA(-1, 1, -1) + 3/80 x DATA(0, 1, -1) + + + 3/80 x DATA(1, 1, -1) - 1/80 x DATA(-1, -1, 0) + 3/1000 y DATA(0, -1, 1) + + + 9/1000 y DATA(2, 1, 2) + 9/1000 y DATA(1, 2, 2) + + - 3/1000 y DATA(0, -1, 0) + 3/1000 y DATA(1, -1, 0) + + - 3/1000 y DATA(-1, 0, 0) + 3/1000 y DATA(-1, 1, 0) - 1/80 x DATA(1, 0, 1) + + - 1/80 x DATA(0, 1, 1) - 1/80 x DATA(1, 1, 1) + 3/80 x DATA(1, 2, -1) + + - 3/80 x DATA(-1, 2, -1) - 3/80 x DATA(2, 1, -1) - 1/80 x DATA(2, 0, 0) + + - 1/80 x DATA(2, -1, 0) + 1/80 x DATA(1, 2, 0) + 1/80 x DATA(0, 2, 0) + + - 1/80 x DATA(-1, 2, 0) - 1/80 x DATA(2, 2, 0) + 1/80 x DATA(2, -1, 1) + + + 1/80 x DATA(-1, 2, 1) + 1/80 x DATA(2, 1, 1) - 1/80 x DATA(1, 2, 1) + + - 1/80 x DATA(0, 2, 1) + 3/80 x DATA(-1, -1, 2) + 1/80 x DATA(2, 2, 1) + + - 3/80 x DATA(1, -1, 2) + 3/80 x DATA(2, 0, 2) - 3/80 x DATA(0, 0, 2) + + + 3/80 x DATA(-1, 0, 2) - 3/80 x DATA(1, 1, 2) + 1/80 x DATA(1, -1, 0) + + - 1/80 x DATA(-1, 0, 0) - 1/80 x DATA(-1, 1, 0) + +> coeffs_as_lc_of_data(%, posn_list_3d_size4); +bytes used=501358788, alloc=4914300, time=53.80 +bytes used=502370528, alloc=4914300, time=53.87 +bytes used=503370696, alloc=4914300, time=53.95 +bytes used=504379756, alloc=4914300, time=54.02 +bytes used=505380016, alloc=4914300, time=54.09 + 147 27 +[COEFF(-1, -1, -1) = ---- - 3/80 x - 3/80 z - ---- y, + 2000 1000 + + COEFF(0, -1, -1) = - 1/2000 - 9/1000 y + 3/80 x - 1/80 z, + + 37 + COEFF(1, -1, -1) = 9/1000 y - ---- + 1/80 z + 3/80 x, + 1000 + + 27 + COEFF(2, -1, -1) = - 3/80 x - 9/250 + 3/80 z + ---- y, + 1000 + + 129 + COEFF(-1, 0, -1) = - 3/80 z - 3/80 x + ---- - 9/1000 y, + 2000 + + COEFF(0, 0, -1) = - 1/80 z - 3/1000 y - 7/2000 + 3/80 x, + + 17 + COEFF(1, 0, -1) = 1/80 z - --- + 3/80 x + 3/1000 y, + 500 + + 27 + COEFF(2, 0, -1) = 3/80 z - 3/80 x - ---- + 9/1000 y, + 1000 + + 111 + COEFF(-1, 1, -1) = ---- - 3/80 x + 9/1000 y - 3/80 z, + 2000 + + 13 + COEFF(0, 1, -1) = 3/80 x - 1/80 z + 3/1000 y - ----, + 2000 + + 31 + COEFF(1, 1, -1) = 1/80 z - ---- - 3/1000 y + 3/80 x, + 1000 + + COEFF(2, 1, -1) = 3/80 z - 9/1000 y - 3/80 x - 9/500, + + 93 27 + COEFF(-1, 2, -1) = - 3/80 x + ---- + ---- y - 3/80 z, + 2000 1000 + + 19 + COEFF(0, 2, -1) = - 1/80 z + 9/1000 y - ---- + 3/80 x, + 2000 + + COEFF(1, 2, -1) = 3/80 x - 7/250 - 9/1000 y + 1/80 z, + + 27 + COEFF(2, 2, -1) = 3/80 z - 9/1000 - 3/80 x - ---- y, + 1000 + + COEFF(-1, -1, 0) = - 1/80 x + 3/80 z - 9/1000 y - 1/2000, + + 17 + COEFF(0, -1, 0) = 1/80 x - 3/1000 y + 1/80 z - ----, + 2000 + + COEFF(1, -1, 0) = - 1/80 z + 3/1000 y - 1/250 + 1/80 x, + + 13 + COEFF(2, -1, 0) = - 3/80 z + 9/1000 y + ---- - 1/80 x, + 1000 + + COEFF(-1, 0, 0) = - 7/2000 - 1/80 x - 3/1000 y + 3/80 z, + + 19 + COEFF(0, 0, 0) = 1/80 x - 1/1000 y + 1/80 z - ----, + 2000 + + COEFF(1, 0, 0) = - 3/1000 + 1/80 x + 1/1000 y - 1/80 z, + + COEFF(2, 0, 0) = 3/1000 y - 3/80 z - 1/80 x + 2/125, + + 13 + COEFF(-1, 1, 0) = - ---- - 1/80 x + 3/80 z + 3/1000 y, + 2000 + + 21 + COEFF(0, 1, 0) = 1/80 z + 1/80 x + 1/1000 y - ----, + 2000 + + COEFF(1, 1, 0) = - 1/500 + 1/80 x - 1/1000 y - 1/80 z, + + 19 + COEFF(2, 1, 0) = - 1/80 x - 3/1000 y - 3/80 z + ----, + 1000 + + 19 + COEFF(-1, 2, 0) = 9/1000 y - ---- - 1/80 x + 3/80 z, + 2000 + + 23 + COEFF(0, 2, 0) = 1/80 z - ---- + 3/1000 y + 1/80 x, + 2000 + + COEFF(1, 2, 0) = - 3/1000 y - 1/1000 - 1/80 z + 1/80 x, + + 11 + COEFF(2, 2, 0) = - 3/80 z - 1/80 x + --- - 9/1000 y, + 500 + + 37 + COEFF(-1, -1, 1) = 1/80 x + 9/1000 y - ---- + 3/80 z, + 1000 + + COEFF(0, -1, 1) = 3/1000 y - 1/80 x + 1/80 z - 1/250, + + 33 + COEFF(1, -1, 1) = ---- - 3/1000 y - 1/80 z - 1/80 x, + 2000 + + 49 + COEFF(2, -1, 1) = - 3/80 z + 1/80 x + ---- - 9/1000 y, + 2000 + + 17 + COEFF(-1, 0, 1) = 1/80 x + 3/80 z + 3/1000 y - ---, + 500 + + COEFF(0, 0, 1) = - 1/80 x + 1/80 z - 3/1000 + 1/1000 y, + + 31 + COEFF(1, 0, 1) = - 1/80 x - 1/1000 y + ---- - 1/80 z, + 2000 + + 43 + COEFF(2, 0, 1) = - 3/80 z + ---- - 3/1000 y + 1/80 x, + 2000 + + 31 + COEFF(-1, 1, 1) = - 3/1000 y + 3/80 z - ---- + 1/80 x, + 1000 + + COEFF(0, 1, 1) = - 1/500 - 1/1000 y + 1/80 z - 1/80 x, + + 29 + COEFF(1, 1, 1) = ---- - 1/80 z + 1/1000 y - 1/80 x, + 2000 + + 37 + COEFF(2, 1, 1) = 1/80 x + 3/1000 y - 3/80 z + ----, + 2000 + + COEFF(-1, 2, 1) = 1/80 x - 7/250 - 9/1000 y + 3/80 z, + + COEFF(0, 2, 1) = - 1/80 x - 1/1000 - 3/1000 y + 1/80 z, + + 27 + COEFF(1, 2, 1) = ---- - 1/80 x + 3/1000 y - 1/80 z, + 2000 + + 31 + COEFF(2, 2, 1) = 9/1000 y + 1/80 x + ---- - 3/80 z, + 2000 + + 27 + COEFF(-1, -1, 2) = ---- y + 3/80 x - 3/80 z - 9/250, + 1000 + + 13 + COEFF(0, -1, 2) = 9/1000 y - 3/80 x + ---- - 1/80 z, + 1000 + + 49 + COEFF(1, -1, 2) = - 9/1000 y + 1/80 z - 3/80 x + ----, + 2000 + + 27 + COEFF(2, -1, 2) = 3/80 z - ---- y - 3/2000 + 3/80 x, + 1000 + + 27 + COEFF(-1, 0, 2) = 3/80 x + 9/1000 y - 3/80 z - ----, + 1000 + + COEFF(0, 0, 2) = - 3/80 x + 2/125 + 3/1000 y - 1/80 z, + + 43 + COEFF(1, 0, 2) = - 3/80 x - 3/1000 y + ---- + 1/80 z, + 2000 + + 21 + COEFF(2, 0, 2) = 3/80 x + 3/80 z - 9/1000 y - ----, + 2000 + + COEFF(-1, 1, 2) = - 3/80 z + 3/80 x - 9/1000 y - 9/500, + + 19 + COEFF(0, 1, 2) = ---- - 1/80 z - 3/80 x - 3/1000 y, + 1000 + + 37 + COEFF(1, 1, 2) = ---- - 3/80 x + 3/1000 y + 1/80 z, + 2000 + + 39 + COEFF(2, 1, 2) = - ---- + 9/1000 y + 3/80 z + 3/80 x, + 2000 + + 27 + COEFF(-1, 2, 2) = 3/80 x - 3/80 z - 9/1000 - ---- y, + 1000 + + 11 + COEFF(0, 2, 2) = - 9/1000 y - 3/80 x + --- - 1/80 z, + 500 + + 31 + COEFF(1, 2, 2) = ---- + 9/1000 y - 3/80 x + 1/80 z, + 2000 + + 57 27 + COEFF(2, 2, 2) = - ---- + 3/80 x + ---- y + 3/80 z] + 2000 1000 + +> print_coeffs__lc_of_data(%, "coeffs_dxz->coeff_", "fp", +> "3d.coeffs/3d.cube.order3.smooth0/coeffs-dxz.compute.c"); +bytes used=506380360, alloc=4914300, time=54.18 +bytes used=507380724, alloc=4914300, time=54.25 +bytes used=508380960, alloc=4914300, time=54.33 +bytes used=509381208, alloc=4914300, time=54.52 +bytes used=510381716, alloc=4914300, time=54.81 +bytes used=511381892, alloc=4914300, time=54.88 +bytes used=512382340, alloc=4914300, time=54.96 +bytes used=513382580, alloc=4914300, time=55.06 +bytes used=514382860, alloc=4914300, time=55.40 +bytes used=515383140, alloc=4914300, time=55.54 +bytes used=516383348, alloc=4914300, time=55.84 +bytes used=517383836, alloc=4914300, time=56.05 +> +# d^2/dy^2 +> simplify( diff(interp_3d_cube_order3_smooth0,y,y) ); +bytes used=518384240, alloc=4914300, time=56.19 +1/40 DATA(0, 2, -1) - 1/8 DATA(2, 0, -1) + 1/20 DATA(0, -1, 2) + + 13 + - 1/80 DATA(0, 2, 2) - 1/10 DATA(1, 0, 2) - -- DATA(-1, 0, -1) + 80 + + 11 + + 1/16 DATA(2, -1, -1) - -- DATA(0, 0, 0) - 1/8 DATA(1, 0, 0) + 80 + + + 1/20 DATA(0, 1, 0) + 1/16 DATA(1, 1, 0) - 1/8 DATA(0, 0, 1) + + - 9/80 DATA(1, 0, 1) + 1/16 DATA(0, 1, 1) + 3/40 DATA(1, 1, 1) + + + 1/80 DATA(1, 2, -1) + 3/80 DATA(-1, 2, -1) + 1/16 DATA(2, 1, -1) + + - 9/80 DATA(2, 0, 0) + 1/20 DATA(2, -1, 0) + 1/80 DATA(0, 2, 0) + + + 1/40 DATA(-1, 2, 0) + 3/40 DATA(2, 1, 0) - 1/80 DATA(2, 2, 0) + + + 3/80 DATA(2, -1, 1) - 1/10 DATA(2, 0, 1) + 1/80 DATA(-1, 2, 1) + + + 7/80 DATA(2, 1, 1) - 1/80 DATA(1, 2, 1) + 1/16 DATA(-1, -1, 2) + + - 1/40 DATA(2, 2, 1) + 3/80 DATA(1, -1, 2) - 7/80 DATA(2, 0, 2) + + - 9/80 DATA(0, 0, 2) - 1/8 DATA(-1, 0, 2) + 1/40 DATA(2, -1, 2) + + + 7/80 DATA(1, 1, 2) + 3/40 DATA(0, 1, 2) + 1/16 DATA(-1, 1, 2) + + + 1/10 DATA(2, 1, 2) - 1/40 DATA(1, 2, 2) + 3/40 DATA(0, -1, 0) + + + 1/16 DATA(1, -1, 0) - 3/20 DATA(-1, 0, 0) + 3/80 DATA(-1, 1, 0) + + + 3/40 DATA(-1, -1, 1) + 1/16 DATA(0, -1, 1) + 1/20 DATA(1, -1, 1) + + 11 + - -- DATA(-1, 0, 1) + 1/20 DATA(-1, 1, 1) - 3/20 DATA(0, 0, -1) + 80 + + 11 + - -- DATA(1, 0, -1) + 1/40 DATA(-1, 1, -1) + 3/80 DATA(0, 1, -1) + 80 + + + 1/20 DATA(1, 1, -1) + 7/80 DATA(-1, -1, 0) + 1/10 DATA(-1, -1, -1) + + + 7/80 DATA(0, -1, -1) + 3/40 DATA(1, -1, -1) - 3/80 DATA(2, 2, 2) + + - 3/80 z DATA(0, 1, 2) + 3/80 z DATA(-1, 2, 2) + 3/80 z DATA(2, -1, 2) + + - 3/80 z DATA(1, 0, 2) + 1/16 y DATA(-1, 2, 2) + 1/16 y DATA(0, 2, 1) + + + 1/16 y DATA(1, 2, 0) + 1/16 y DATA(2, 2, -1) + 3/80 x DATA(2, 2, -1) + + + 3/80 x DATA(2, -1, 2) - 3/80 x DATA(2, 1, 0) - 3/80 x DATA(2, 0, 1) + + - 3/80 x DATA(-1, -1, -1) - 1/80 x DATA(0, -1, -1) + + + 1/80 x DATA(1, -1, -1) + 3/80 x DATA(2, 2, 2) - 1/80 x DATA(0, -1, 1) + + - 3/80 x DATA(-1, 2, 2) - 3/80 x DATA(2, 1, 2) + 1/80 x DATA(1, 2, 2) + + - 1/80 x DATA(0, -1, 0) + 1/80 z DATA(1, 2, 1) + 1/80 z DATA(0, 2, 1) + + + 3/80 z DATA(-1, -1, 2) + 1/80 z DATA(2, 2, 1) + 3/80 z DATA(1, -1, 2) + + - 3/80 z DATA(2, 0, 2) - 3/80 z DATA(0, 0, 2) - 3/80 z DATA(-1, 0, 2) + + - 3/80 z DATA(1, 1, 2) - 3/80 z DATA(-1, 1, 2) - 3/80 z DATA(0, 2, -1) + + + 1/80 z DATA(-1, -1, 1) + 1/80 z DATA(1, -1, 1) - 1/80 z DATA(0, 2, 0) + + + 3/80 z DATA(2, 1, -1) - 1/80 z DATA(2, -1, 0) + 1/80 z DATA(2, 0, 0) + + + 3/80 z DATA(2, 0, -1) + 3/80 z DATA(0, -1, 2) + 3/80 z DATA(0, 2, 2) + + + 3/80 z DATA(-1, 0, -1) - 3/80 z DATA(2, -1, -1) + 1/80 z DATA(0, 0, 0) + + + 1/80 z DATA(1, 0, 0) + 1/80 z DATA(0, 1, 0) + 1/80 z DATA(1, 1, 0) + + - 1/80 z DATA(0, 0, 1) - 1/80 z DATA(1, 0, 1) - 1/80 z DATA(0, 1, 1) + + - 1/80 z DATA(1, 1, 1) - 3/80 z DATA(2, 2, -1) - 3/80 z DATA(1, 2, -1) + + - 3/80 z DATA(-1, 2, -1) + 1/80 z DATA(-1, 0, 0) + 1/80 z DATA(-1, 1, 0) + + - 1/80 z DATA(-1, 1, 1) - 1/80 z DATA(1, 2, 0) - 1/80 z DATA(-1, 2, 0) + + + 1/80 z DATA(2, 1, 0) - 1/80 z DATA(2, 2, 0) + 1/80 z DATA(2, -1, 1) + + - 1/80 z DATA(2, 0, 1) + 1/80 z DATA(-1, 2, 1) - 1/80 z DATA(2, 1, 1) + + - 1/80 z DATA(-1, 0, 1) + 3/80 z DATA(0, 0, -1) + 3/80 z DATA(1, 0, -1) + + + 3/80 z DATA(-1, 1, -1) + 3/80 z DATA(0, 1, -1) + 3/80 z DATA(1, 1, -1) + + - 1/80 z DATA(-1, -1, 0) - 3/80 z DATA(-1, -1, -1) + + - 3/80 z DATA(0, -1, -1) - 3/80 z DATA(1, -1, -1) + 3/80 z DATA(2, 2, 2) + + + 1/80 z DATA(0, -1, 1) - 3/80 z DATA(2, 1, 2) + 3/80 z DATA(1, 2, 2) + + - 1/80 z DATA(0, -1, 0) - 1/80 z DATA(1, -1, 0) + 3/16 y DATA(-1, 0, 2) + + - 1/16 y DATA(2, -1, 2) - 3/16 y DATA(1, 1, 2) - 3/16 y DATA(0, 1, 2) + + - 3/16 y DATA(-1, 1, 2) + 1/16 y DATA(0, 2, -1) - 1/16 y DATA(-1, -1, 1) + + - 1/16 y DATA(1, -1, 1) + 3/16 y DATA(-1, 0, 1) - 3/16 y DATA(-1, 1, 1) + + + 3/16 y DATA(0, 0, -1) + 3/16 y DATA(1, 0, -1) - 3/16 y DATA(-1, 1, -1) + + - 3/16 y DATA(0, 1, -1) - 3/16 y DATA(1, 1, -1) - 1/16 y DATA(-1, -1, 0) + + - 1/16 y DATA(-1, -1, -1) - 1/16 y DATA(0, -1, -1) + + - 1/16 y DATA(1, -1, -1) + 1/16 y DATA(2, 2, 2) - 3/16 y DATA(2, 1, -1) + + + 3/16 y DATA(2, 0, 0) - 1/16 y DATA(0, -1, 2) - 1/80 x DATA(0, -1, 2) + + - 1/80 x DATA(0, 2, 2) - 1/80 x DATA(1, 0, 2) + 3/80 x DATA(-1, 0, -1) + + + 3/80 x DATA(2, -1, -1) + 1/80 x DATA(0, 0, 0) - 1/80 x DATA(1, 0, 0) + + + 1/80 x DATA(0, 1, 0) - 1/80 x DATA(1, 1, 0) + 1/80 x DATA(0, 0, 1) + + - 3/80 x DATA(2, 0, -1) + 3/16 y DATA(-1, 0, -1) - 1/16 y DATA(2, -1, -1) + + + 3/16 y DATA(0, 0, 0) + 3/16 y DATA(1, 0, 0) - 3/16 y DATA(0, 1, 0) + + - 3/16 y DATA(1, 1, 0) + 3/16 y DATA(0, 0, 1) + 3/16 y DATA(1, 0, 1) + + - 3/16 y DATA(0, 1, 1) - 3/16 y DATA(1, 1, 1) + 1/16 y DATA(1, 2, -1) + + + 1/16 y DATA(-1, 2, -1) - 1/16 y DATA(2, -1, 0) + 1/16 y DATA(0, 2, 0) + + + 1/16 y DATA(-1, 2, 0) - 3/16 y DATA(2, 1, 0) + 1/16 y DATA(2, 2, 0) + + - 1/16 y DATA(2, -1, 1) + 3/16 y DATA(2, 0, 1) + 1/16 y DATA(-1, 2, 1) + + - 3/16 y DATA(2, 1, 1) + 1/16 y DATA(1, 2, 1) - 1/16 y DATA(-1, -1, 2) + + + 1/16 y DATA(2, 2, 1) - 1/16 y DATA(1, -1, 2) + 3/16 y DATA(2, 0, 2) + + + 3/16 y DATA(0, 0, 2) + 3/16 y DATA(2, 0, -1) + 1/16 y DATA(0, 2, 2) + + + 3/16 y DATA(1, 0, 2) + 1/80 x DATA(0, 1, 2) + 3/80 x DATA(-1, 1, 2) + + - 1/80 x DATA(0, 2, -1) - 3/80 x DATA(-1, -1, 1) + 1/80 x DATA(1, -1, 1) + + + 3/80 x DATA(-1, 0, 1) + 3/80 x DATA(-1, 1, 1) + 1/80 x DATA(0, 0, -1) + + - 1/80 x DATA(1, 0, -1) + 3/80 x DATA(-1, 1, -1) + 1/80 x DATA(0, 1, -1) + + - 1/80 x DATA(1, 1, -1) - 3/80 x DATA(-1, -1, 0) - 1/16 y DATA(0, -1, 1) + + - 3/16 y DATA(2, 1, 2) + 1/16 y DATA(1, 2, 2) - 1/16 y DATA(0, -1, 0) + + - 1/16 y DATA(1, -1, 0) + 3/16 y DATA(-1, 0, 0) - 3/16 y DATA(-1, 1, 0) + + - 1/80 x DATA(1, 0, 1) + 1/80 x DATA(0, 1, 1) - 1/80 x DATA(1, 1, 1) + + + 1/80 x DATA(1, 2, -1) - 3/80 x DATA(-1, 2, -1) - 3/80 x DATA(2, 1, -1) + + - 3/80 x DATA(2, 0, 0) + 3/80 x DATA(2, -1, 0) + 1/80 x DATA(1, 2, 0) + + - 1/80 x DATA(0, 2, 0) - 3/80 x DATA(-1, 2, 0) + 3/80 x DATA(2, 2, 0) + + + 3/80 x DATA(2, -1, 1) - 3/80 x DATA(-1, 2, 1) - 3/80 x DATA(2, 1, 1) + + + 1/80 x DATA(1, 2, 1) - 1/80 x DATA(0, 2, 1) - 3/80 x DATA(-1, -1, 2) + + + 3/80 x DATA(2, 2, 1) + 1/80 x DATA(1, -1, 2) - 3/80 x DATA(2, 0, 2) + + + 1/80 x DATA(0, 0, 2) + 3/80 x DATA(-1, 0, 2) - 1/80 x DATA(1, 1, 2) + + + 1/80 x DATA(1, -1, 0) + 3/80 x DATA(-1, 0, 0) + 3/80 x DATA(-1, 1, 0) + +> coeffs_as_lc_of_data(%, posn_list_3d_size4); +bytes used=519384512, alloc=4914300, time=56.26 +bytes used=520396020, alloc=4914300, time=56.33 +bytes used=521396360, alloc=4914300, time=56.41 +bytes used=522396492, alloc=4914300, time=56.48 +bytes used=523398116, alloc=4914300, time=56.55 +[COEFF(-1, -1, -1) = - 3/80 x - 1/16 y - 3/80 z + 1/10, + + COEFF(0, -1, -1) = - 1/80 x - 1/16 y + 7/80 - 3/80 z, + + COEFF(1, -1, -1) = - 1/16 y + 3/40 - 3/80 z + 1/80 x, + + COEFF(2, -1, -1) = - 3/80 z + 1/16 - 1/16 y + 3/80 x, + + 13 + COEFF(-1, 0, -1) = - -- + 3/80 x + 3/80 z + 3/16 y, + 80 + + COEFF(0, 0, -1) = 3/16 y - 3/20 + 3/80 z + 1/80 x, + + 11 + COEFF(1, 0, -1) = 3/16 y - -- - 1/80 x + 3/80 z, + 80 + + COEFF(2, 0, -1) = 3/16 y - 1/8 + 3/80 z - 3/80 x, + + COEFF(-1, 1, -1) = - 3/16 y + 3/80 z + 1/40 + 3/80 x, + + COEFF(0, 1, -1) = 1/80 x - 3/16 y + 3/80 + 3/80 z, + + COEFF(1, 1, -1) = 3/80 z + 1/20 - 1/80 x - 3/16 y, + + COEFF(2, 1, -1) = - 3/16 y + 3/80 z - 3/80 x + 1/16, + + COEFF(-1, 2, -1) = - 3/80 z - 3/80 x + 3/80 + 1/16 y, + + COEFF(0, 2, -1) = - 3/80 z + 1/16 y - 1/80 x + 1/40, + + COEFF(1, 2, -1) = - 3/80 z + 1/80 + 1/80 x + 1/16 y, + + COEFF(2, 2, -1) = - 3/80 z + 1/16 y + 3/80 x, + + COEFF(-1, -1, 0) = - 1/80 z + 7/80 - 3/80 x - 1/16 y, + + COEFF(0, -1, 0) = - 1/80 x - 1/80 z - 1/16 y + 3/40, + + COEFF(1, -1, 0) = 1/16 - 1/16 y - 1/80 z + 1/80 x, + + COEFF(2, -1, 0) = 1/20 + 3/80 x - 1/16 y - 1/80 z, + + COEFF(-1, 0, 0) = 3/80 x - 3/20 + 3/16 y + 1/80 z, + + 11 + COEFF(0, 0, 0) = 1/80 x - -- + 3/16 y + 1/80 z, + 80 + + COEFF(1, 0, 0) = 1/80 z - 1/80 x - 1/8 + 3/16 y, + + COEFF(2, 0, 0) = 3/16 y - 3/80 x + 1/80 z - 9/80, + + COEFF(-1, 1, 0) = 3/80 x + 1/80 z + 3/80 - 3/16 y, + + COEFF(0, 1, 0) = - 3/16 y + 1/80 x + 1/80 z + 1/20, + + COEFF(1, 1, 0) = - 3/16 y + 1/80 z + 1/16 - 1/80 x, + + COEFF(2, 1, 0) = 1/80 z - 3/16 y + 3/40 - 3/80 x, + + COEFF(-1, 2, 0) = - 1/80 z + 1/16 y + 1/40 - 3/80 x, + + COEFF(0, 2, 0) = 1/16 y + 1/80 - 1/80 x - 1/80 z, + + COEFF(1, 2, 0) = 1/80 x + 1/16 y - 1/80 z, + + COEFF(2, 2, 0) = - 1/80 z - 1/80 + 3/80 x + 1/16 y, + + COEFF(-1, -1, 1) = 1/80 z + 3/40 - 3/80 x - 1/16 y, + + COEFF(0, -1, 1) = 1/80 z - 1/16 y - 1/80 x + 1/16, + + COEFF(1, -1, 1) = - 1/16 y + 1/20 + 1/80 x + 1/80 z, + + COEFF(2, -1, 1) = - 1/16 y + 3/80 + 3/80 x + 1/80 z, + + 11 + COEFF(-1, 0, 1) = 3/16 y - 1/80 z - -- + 3/80 x, + 80 + + COEFF(0, 0, 1) = - 1/80 z - 1/8 + 3/16 y + 1/80 x, + + COEFF(1, 0, 1) = 3/16 y - 1/80 z - 1/80 x - 9/80, + + COEFF(2, 0, 1) = 3/16 y - 1/80 z - 3/80 x - 1/10, + + COEFF(-1, 1, 1) = 1/20 + 3/80 x - 3/16 y - 1/80 z, + + COEFF(0, 1, 1) = - 1/80 z + 1/80 x - 3/16 y + 1/16, + + COEFF(1, 1, 1) = - 3/16 y - 1/80 z + 3/40 - 1/80 x, + + COEFF(2, 1, 1) = 7/80 - 3/80 x - 1/80 z - 3/16 y, + + COEFF(-1, 2, 1) = 1/80 + 1/16 y + 1/80 z - 3/80 x, + + COEFF(0, 2, 1) = - 1/80 x + 1/16 y + 1/80 z, + + COEFF(1, 2, 1) = 1/80 x + 1/80 z - 1/80 + 1/16 y, + + COEFF(2, 2, 1) = - 1/40 + 1/16 y + 1/80 z + 3/80 x, + + COEFF(-1, -1, 2) = - 3/80 x + 1/16 - 1/16 y + 3/80 z, + + COEFF(0, -1, 2) = 3/80 z + 1/20 - 1/80 x - 1/16 y, + + COEFF(1, -1, 2) = 3/80 + 3/80 z + 1/80 x - 1/16 y, + + COEFF(2, -1, 2) = - 1/16 y + 3/80 x + 1/40 + 3/80 z, + + COEFF(-1, 0, 2) = 3/16 y - 1/8 + 3/80 x - 3/80 z, + + COEFF(0, 0, 2) = - 3/80 z + 1/80 x + 3/16 y - 9/80, + + COEFF(1, 0, 2) = 3/16 y - 3/80 z - 1/10 - 1/80 x, + + COEFF(2, 0, 2) = - 3/80 z - 3/80 x - 7/80 + 3/16 y, + + COEFF(-1, 1, 2) = - 3/80 z - 3/16 y + 3/80 x + 1/16, + + COEFF(0, 1, 2) = 1/80 x - 3/80 z - 3/16 y + 3/40, + + COEFF(1, 1, 2) = - 1/80 x - 3/80 z + 7/80 - 3/16 y, + + COEFF(2, 1, 2) = - 3/80 x - 3/80 z - 3/16 y + 1/10, + + COEFF(-1, 2, 2) = 3/80 z - 3/80 x + 1/16 y, + + COEFF(0, 2, 2) = - 1/80 + 3/80 z - 1/80 x + 1/16 y, + + COEFF(1, 2, 2) = 1/16 y + 1/80 x + 3/80 z - 1/40, + + COEFF(2, 2, 2) = - 3/80 + 3/80 z + 3/80 x + 1/16 y] + +> print_coeffs__lc_of_data(%, "coeffs_dyy->coeff_", "fp", +> "3d.coeffs/3d.cube.order3.smooth0/coeffs-dyy.compute.c"); +bytes used=524398336, alloc=4914300, time=56.62 +bytes used=525398564, alloc=4914300, time=56.79 +bytes used=526398736, alloc=4914300, time=56.87 +bytes used=527398932, alloc=4914300, time=57.16 +bytes used=528399196, alloc=4914300, time=57.24 +bytes used=529399372, alloc=4914300, time=57.31 +bytes used=530399600, alloc=4914300, time=57.40 +bytes used=531399824, alloc=4914300, time=57.54 +bytes used=532400012, alloc=4914300, time=57.89 +bytes used=533400172, alloc=4914300, time=58.10 +bytes used=534400428, alloc=4914300, time=58.37 +> +# d^2/dydz +> simplify( diff(interp_3d_cube_order3_smooth0,y,z) ); +bytes used=535400648, alloc=4914300, time=58.49 + 27 19 27 +- ---- DATA(0, 2, -1) - ---- DATA(2, 0, -1) - ---- DATA(0, -1, 2) + 1000 2000 1000 + + 21 19 + - ---- DATA(0, 2, 2) + ---- DATA(1, 0, 2) - 1/2000 DATA(-1, 0, -1) + 2000 1000 + + 93 19 21 + + ---- DATA(2, -1, -1) - ---- DATA(0, 0, 0) - ---- DATA(1, 0, 0) + 2000 2000 2000 + + - 3/1000 DATA(0, 1, 0) - 1/500 DATA(1, 1, 0) - 3/1000 DATA(0, 0, 1) + + 31 29 + - 1/500 DATA(1, 0, 1) + ---- DATA(0, 1, 1) + ---- DATA(1, 1, 1) + 2000 2000 + + - 9/1000 DATA(2, 2, -1) - 9/500 DATA(1, 2, -1) - 9/250 DATA(-1, 2, -1) + + 23 19 + - 7/250 DATA(2, 1, -1) - ---- DATA(2, 0, 0) - ---- DATA(2, -1, 0) + 2000 2000 + + 19 13 + + ---- DATA(1, 2, 0) + 2/125 DATA(0, 2, 0) + ---- DATA(-1, 2, 0) + 1000 1000 + + 11 + - 1/1000 DATA(2, 1, 0) + --- DATA(2, 2, 0) - 7/250 DATA(2, -1, 1) + 500 + + 49 27 + - 1/1000 DATA(2, 0, 1) + ---- DATA(-1, 2, 1) + ---- DATA(2, 1, 1) + 2000 2000 + + 37 43 + + ---- DATA(1, 2, 1) + ---- DATA(0, 2, 1) - 9/250 DATA(-1, -1, 2) + 2000 2000 + + 31 11 + + ---- DATA(2, 2, 1) - 9/500 DATA(1, -1, 2) + --- DATA(2, 0, 2) + 2000 500 + + 13 + + 2/125 DATA(0, 0, 2) + ---- DATA(-1, 0, 2) - 9/1000 DATA(2, -1, 2) + 1000 + + 37 43 49 + + ---- DATA(1, 1, 2) + ---- DATA(0, 1, 2) + ---- DATA(-1, 1, 2) + 2000 2000 2000 + + 31 39 + - 3/2000 DATA(-1, 2, 2) + ---- DATA(2, 1, 2) - ---- DATA(1, 2, 2) + 2000 2000 + + 13 17 + - 7/2000 DATA(0, -1, 0) - ---- DATA(1, -1, 0) - ---- DATA(-1, 0, 0) + 2000 2000 + + 37 17 + - 1/250 DATA(-1, 1, 0) - ---- DATA(-1, -1, 1) - --- DATA(0, -1, 1) + 1000 500 + + 31 33 + - ---- DATA(1, -1, 1) - 1/250 DATA(-1, 0, 1) + ---- DATA(-1, 1, 1) + 1000 2000 + + 13 37 + - 7/2000 DATA(0, 0, -1) - ---- DATA(1, 0, -1) - ---- DATA(-1, 1, -1) + 2000 1000 + + 17 31 + - --- DATA(0, 1, -1) - ---- DATA(1, 1, -1) - 1/2000 DATA(-1, -1, 0) + 500 1000 + + 147 129 111 + + ---- DATA(-1, -1, -1) + ---- DATA(0, -1, -1) + ---- DATA(1, -1, -1) + 2000 2000 2000 + + 57 + - ---- DATA(2, 2, 2) + 1/80 z DATA(0, 1, 2) + 3/80 z DATA(-1, 2, 2) + 2000 + + - 3/80 z DATA(2, -1, 2) - 1/80 z DATA(1, 0, 2) + 3/80 y DATA(-1, 2, 2) + + + 1/80 y DATA(0, 2, 1) - 1/80 y DATA(1, 2, 0) - 3/80 y DATA(2, 2, -1) + + 27 27 + - ---- x DATA(2, 2, -1) - ---- x DATA(2, -1, 2) - 3/1000 x DATA(2, 1, 0) + 1000 1000 + + 27 + - 3/1000 x DATA(2, 0, 1) - ---- x DATA(-1, -1, -1) + 1000 + + - 9/1000 x DATA(0, -1, -1) + 9/1000 x DATA(1, -1, -1) + + 27 27 + + ---- x DATA(2, 2, 2) + 3/1000 x DATA(0, -1, 1) - ---- x DATA(-1, 2, 2) + 1000 1000 + + + 9/1000 x DATA(2, 1, 2) + 9/1000 x DATA(1, 2, 2) + + - 3/1000 x DATA(0, -1, 0) - 3/80 z DATA(1, 2, 1) - 3/80 z DATA(0, 2, 1) + + - 3/80 z DATA(-1, -1, 2) - 3/80 z DATA(2, 2, 1) - 3/80 z DATA(1, -1, 2) + + - 1/80 z DATA(2, 0, 2) - 1/80 z DATA(0, 0, 2) - 1/80 z DATA(-1, 0, 2) + + + 1/80 z DATA(1, 1, 2) + 1/80 z DATA(-1, 1, 2) + 3/80 z DATA(0, 2, -1) + + + 3/80 z DATA(-1, -1, 1) + 3/80 z DATA(1, -1, 1) - 3/80 z DATA(0, 2, 0) + + + 1/80 z DATA(2, 1, -1) + 3/80 z DATA(2, -1, 0) + 1/80 z DATA(2, 0, 0) + + - 1/80 z DATA(2, 0, -1) - 3/80 z DATA(0, -1, 2) + 3/80 z DATA(0, 2, 2) + + - 1/80 z DATA(-1, 0, -1) - 3/80 z DATA(2, -1, -1) + 1/80 z DATA(0, 0, 0) + + + 1/80 z DATA(1, 0, 0) - 1/80 z DATA(0, 1, 0) - 1/80 z DATA(1, 1, 0) + + + 1/80 z DATA(0, 0, 1) + 1/80 z DATA(1, 0, 1) - 1/80 z DATA(0, 1, 1) + + - 1/80 z DATA(1, 1, 1) + 3/80 z DATA(2, 2, -1) + 3/80 z DATA(1, 2, -1) + + + 3/80 z DATA(-1, 2, -1) + 1/80 z DATA(-1, 0, 0) - 1/80 z DATA(-1, 1, 0) + + - 1/80 z DATA(-1, 1, 1) - 3/80 z DATA(1, 2, 0) - 3/80 z DATA(-1, 2, 0) + + - 1/80 z DATA(2, 1, 0) - 3/80 z DATA(2, 2, 0) + 3/80 z DATA(2, -1, 1) + + + 1/80 z DATA(2, 0, 1) - 3/80 z DATA(-1, 2, 1) - 1/80 z DATA(2, 1, 1) + + + 1/80 z DATA(-1, 0, 1) - 1/80 z DATA(0, 0, -1) - 1/80 z DATA(1, 0, -1) + + + 1/80 z DATA(-1, 1, -1) + 1/80 z DATA(0, 1, -1) + 1/80 z DATA(1, 1, -1) + + + 3/80 z DATA(-1, -1, 0) - 3/80 z DATA(-1, -1, -1) + + - 3/80 z DATA(0, -1, -1) - 3/80 z DATA(1, -1, -1) + 3/80 z DATA(2, 2, 2) + + + 3/80 z DATA(0, -1, 1) + 1/80 z DATA(2, 1, 2) + 3/80 z DATA(1, 2, 2) + + + 3/80 z DATA(0, -1, 0) + 3/80 z DATA(1, -1, 0) - 3/80 y DATA(-1, 0, 2) + + + 3/80 y DATA(2, -1, 2) - 3/80 y DATA(1, 1, 2) - 3/80 y DATA(0, 1, 2) + + - 3/80 y DATA(-1, 1, 2) - 3/80 y DATA(0, 2, -1) + 1/80 y DATA(-1, -1, 1) + + + 1/80 y DATA(1, -1, 1) - 1/80 y DATA(-1, 0, 1) - 1/80 y DATA(-1, 1, 1) + + + 3/80 y DATA(0, 0, -1) + 3/80 y DATA(1, 0, -1) + 3/80 y DATA(-1, 1, -1) + + + 3/80 y DATA(0, 1, -1) + 3/80 y DATA(1, 1, -1) - 1/80 y DATA(-1, -1, 0) + + - 3/80 y DATA(-1, -1, -1) - 3/80 y DATA(0, -1, -1) + + - 3/80 y DATA(1, -1, -1) + 3/80 y DATA(2, 2, 2) + 3/80 y DATA(2, 1, -1) + + + 1/80 y DATA(2, 0, 0) + 3/80 y DATA(0, -1, 2) + 9/1000 x DATA(0, -1, 2) + + - 9/1000 x DATA(0, 2, 2) - 3/1000 x DATA(1, 0, 2) + + 27 + - 9/1000 x DATA(-1, 0, -1) + ---- x DATA(2, -1, -1) + 1000 + + - 1/1000 x DATA(0, 0, 0) + 1/1000 x DATA(1, 0, 0) + 1/1000 x DATA(0, 1, 0) + + - 1/1000 x DATA(1, 1, 0) + 1/1000 x DATA(0, 0, 1) + + + 9/1000 x DATA(2, 0, -1) + 3/80 y DATA(-1, 0, -1) + + - 3/80 y DATA(2, -1, -1) + 1/80 y DATA(0, 0, 0) + 1/80 y DATA(1, 0, 0) + + + 1/80 y DATA(0, 1, 0) + 1/80 y DATA(1, 1, 0) - 1/80 y DATA(0, 0, 1) + + - 1/80 y DATA(1, 0, 1) - 1/80 y DATA(0, 1, 1) - 1/80 y DATA(1, 1, 1) + + - 3/80 y DATA(1, 2, -1) - 3/80 y DATA(-1, 2, -1) - 1/80 y DATA(2, -1, 0) + + - 1/80 y DATA(0, 2, 0) - 1/80 y DATA(-1, 2, 0) + 1/80 y DATA(2, 1, 0) + + - 1/80 y DATA(2, 2, 0) + 1/80 y DATA(2, -1, 1) - 1/80 y DATA(2, 0, 1) + + + 1/80 y DATA(-1, 2, 1) - 1/80 y DATA(2, 1, 1) + 1/80 y DATA(1, 2, 1) + + + 3/80 y DATA(-1, -1, 2) + 1/80 y DATA(2, 2, 1) + 3/80 y DATA(1, -1, 2) + + - 3/80 y DATA(2, 0, 2) - 3/80 y DATA(0, 0, 2) + 3/80 y DATA(2, 0, -1) + + + 3/80 y DATA(0, 2, 2) - 3/80 y DATA(1, 0, 2) - 3/1000 x DATA(0, 1, 2) + + - 9/1000 x DATA(-1, 1, 2) + 9/1000 x DATA(0, 2, -1) + + + 9/1000 x DATA(-1, -1, 1) - 3/1000 x DATA(1, -1, 1) + + + 3/1000 x DATA(-1, 0, 1) - 3/1000 x DATA(-1, 1, 1) + + - 3/1000 x DATA(0, 0, -1) + 3/1000 x DATA(1, 0, -1) + + + 9/1000 x DATA(-1, 1, -1) + 3/1000 x DATA(0, 1, -1) + + - 3/1000 x DATA(1, 1, -1) - 9/1000 x DATA(-1, -1, 0) + + + 1/80 y DATA(0, -1, 1) - 3/80 y DATA(2, 1, 2) + 3/80 y DATA(1, 2, 2) + + - 1/80 y DATA(0, -1, 0) - 1/80 y DATA(1, -1, 0) + 1/80 y DATA(-1, 0, 0) + + + 1/80 y DATA(-1, 1, 0) - 1/1000 x DATA(1, 0, 1) - 1/1000 x DATA(0, 1, 1) + + + 1/1000 x DATA(1, 1, 1) - 9/1000 x DATA(1, 2, -1) + + 27 + + ---- x DATA(-1, 2, -1) - 9/1000 x DATA(2, 1, -1) + 1000 + + + 3/1000 x DATA(2, 0, 0) + 9/1000 x DATA(2, -1, 0) + + - 3/1000 x DATA(1, 2, 0) + 3/1000 x DATA(0, 2, 0) + + + 9/1000 x DATA(-1, 2, 0) - 9/1000 x DATA(2, 2, 0) + + - 9/1000 x DATA(2, -1, 1) - 9/1000 x DATA(-1, 2, 1) + + + 3/1000 x DATA(2, 1, 1) + 3/1000 x DATA(1, 2, 1) - 3/1000 x DATA(0, 2, 1) + + 27 + + ---- x DATA(-1, -1, 2) + 9/1000 x DATA(2, 2, 1) + 1000 + + - 9/1000 x DATA(1, -1, 2) - 9/1000 x DATA(2, 0, 2) + + + 3/1000 x DATA(0, 0, 2) + 9/1000 x DATA(-1, 0, 2) + + + 3/1000 x DATA(1, 1, 2) + 3/1000 x DATA(1, -1, 0) + + - 3/1000 x DATA(-1, 0, 0) + 3/1000 x DATA(-1, 1, 0) + +> coeffs_as_lc_of_data(%, posn_list_3d_size4); +bytes used=536405436, alloc=4914300, time=58.56 +bytes used=537405652, alloc=4914300, time=58.63 +bytes used=538405804, alloc=4914300, time=58.70 +bytes used=539407024, alloc=4914300, time=58.78 +bytes used=540410872, alloc=4914300, time=58.85 + 27 147 +[COEFF(-1, -1, -1) = - 3/80 z - ---- x + ---- - 3/80 y, + 1000 2000 + + 129 + COEFF(0, -1, -1) = ---- - 3/80 z - 3/80 y - 9/1000 x, + 2000 + + 111 + COEFF(1, -1, -1) = - 3/80 z + 9/1000 x - 3/80 y + ----, + 2000 + + 27 93 + COEFF(2, -1, -1) = ---- x - 3/80 y - 3/80 z + ----, + 1000 2000 + + COEFF(-1, 0, -1) = 3/80 y - 1/2000 - 1/80 z - 9/1000 x, + + COEFF(0, 0, -1) = - 1/80 z - 7/2000 + 3/80 y - 3/1000 x, + + 13 + COEFF(1, 0, -1) = 3/80 y - 1/80 z - ---- + 3/1000 x, + 2000 + + 19 + COEFF(2, 0, -1) = - ---- - 1/80 z + 3/80 y + 9/1000 x, + 2000 + + 37 + COEFF(-1, 1, -1) = 9/1000 x - ---- + 1/80 z + 3/80 y, + 1000 + + 17 + COEFF(0, 1, -1) = 3/80 y + 3/1000 x + 1/80 z - ---, + 500 + + 31 + COEFF(1, 1, -1) = - 3/1000 x + 3/80 y - ---- + 1/80 z, + 1000 + + COEFF(2, 1, -1) = - 7/250 + 3/80 y + 1/80 z - 9/1000 x, + + 27 + COEFF(-1, 2, -1) = - 3/80 y + ---- x - 9/250 + 3/80 z, + 1000 + + 27 + COEFF(0, 2, -1) = 3/80 z - 3/80 y + 9/1000 x - ----, + 1000 + + COEFF(1, 2, -1) = - 9/500 + 3/80 z - 9/1000 x - 3/80 y, + + 27 + COEFF(2, 2, -1) = - ---- x + 3/80 z - 3/80 y - 9/1000, + 1000 + + COEFF(-1, -1, 0) = - 9/1000 x - 1/80 y + 3/80 z - 1/2000, + + COEFF(0, -1, 0) = 3/80 z - 7/2000 - 3/1000 x - 1/80 y, + + 13 + COEFF(1, -1, 0) = - ---- + 3/80 z + 3/1000 x - 1/80 y, + 2000 + + 19 + COEFF(2, -1, 0) = - ---- - 1/80 y + 9/1000 x + 3/80 z, + 2000 + + 17 + COEFF(-1, 0, 0) = 1/80 y + 1/80 z - ---- - 3/1000 x, + 2000 + + 19 + COEFF(0, 0, 0) = 1/80 z - ---- + 1/80 y - 1/1000 x, + 2000 + + 21 + COEFF(1, 0, 0) = - ---- + 1/80 z + 1/1000 x + 1/80 y, + 2000 + + 23 + COEFF(2, 0, 0) = 3/1000 x + 1/80 y - ---- + 1/80 z, + 2000 + + COEFF(-1, 1, 0) = 1/80 y + 3/1000 x - 1/80 z - 1/250, + + COEFF(0, 1, 0) = - 1/80 z + 1/80 y + 1/1000 x - 3/1000, + + COEFF(1, 1, 0) = - 1/500 - 1/80 z + 1/80 y - 1/1000 x, + + COEFF(2, 1, 0) = - 1/80 z - 3/1000 x + 1/80 y - 1/1000, + + 13 + COEFF(-1, 2, 0) = - 3/80 z + ---- + 9/1000 x - 1/80 y, + 1000 + + COEFF(0, 2, 0) = - 3/80 z + 3/1000 x - 1/80 y + 2/125, + + 19 + COEFF(1, 2, 0) = ---- - 1/80 y - 3/1000 x - 3/80 z, + 1000 + + 11 + COEFF(2, 2, 0) = - 9/1000 x - 3/80 z + --- - 1/80 y, + 500 + + 37 + COEFF(-1, -1, 1) = 3/80 z + 1/80 y - ---- + 9/1000 x, + 1000 + + 17 + COEFF(0, -1, 1) = 1/80 y - --- + 3/80 z + 3/1000 x, + 500 + + 31 + COEFF(1, -1, 1) = 1/80 y - 3/1000 x + 3/80 z - ----, + 1000 + + COEFF(2, -1, 1) = - 7/250 + 3/80 z + 1/80 y - 9/1000 x, + + COEFF(-1, 0, 1) = - 1/80 y + 1/80 z + 3/1000 x - 1/250, + + COEFF(0, 0, 1) = 1/1000 x - 3/1000 - 1/80 y + 1/80 z, + + COEFF(1, 0, 1) = - 1/1000 x + 1/80 z - 1/80 y - 1/500, + + COEFF(2, 0, 1) = - 1/1000 + 1/80 z - 3/1000 x - 1/80 y, + + 33 + COEFF(-1, 1, 1) = - 1/80 y - 1/80 z + ---- - 3/1000 x, + 2000 + + 31 + COEFF(0, 1, 1) = - 1/80 y + ---- - 1/80 z - 1/1000 x, + 2000 + + 29 + COEFF(1, 1, 1) = - 1/80 y + ---- + 1/1000 x - 1/80 z, + 2000 + + 27 + COEFF(2, 1, 1) = - 1/80 z + ---- - 1/80 y + 3/1000 x, + 2000 + + 49 + COEFF(-1, 2, 1) = - 9/1000 x + 1/80 y - 3/80 z + ----, + 2000 + + 43 + COEFF(0, 2, 1) = - 3/80 z - 3/1000 x + ---- + 1/80 y, + 2000 + + 37 + COEFF(1, 2, 1) = 3/1000 x - 3/80 z + 1/80 y + ----, + 2000 + + 31 + COEFF(2, 2, 1) = 1/80 y + 9/1000 x - 3/80 z + ----, + 2000 + + 27 + COEFF(-1, -1, 2) = - 3/80 z - 9/250 + 3/80 y + ---- x, + 1000 + + 27 + COEFF(0, -1, 2) = 9/1000 x - 3/80 z - ---- + 3/80 y, + 1000 + + COEFF(1, -1, 2) = 3/80 y - 9/500 - 9/1000 x - 3/80 z, + + 27 + COEFF(2, -1, 2) = - 3/80 z - 9/1000 - ---- x + 3/80 y, + 1000 + + 13 + COEFF(-1, 0, 2) = 9/1000 x - 1/80 z + ---- - 3/80 y, + 1000 + + COEFF(0, 0, 2) = - 3/80 y + 2/125 - 1/80 z + 3/1000 x, + + 19 + COEFF(1, 0, 2) = ---- - 1/80 z - 3/1000 x - 3/80 y, + 1000 + + 11 + COEFF(2, 0, 2) = - 9/1000 x - 3/80 y + --- - 1/80 z, + 500 + + 49 + COEFF(-1, 1, 2) = - 9/1000 x + 1/80 z - 3/80 y + ----, + 2000 + + 43 + COEFF(0, 1, 2) = ---- - 3/80 y - 3/1000 x + 1/80 z, + 2000 + + 37 + COEFF(1, 1, 2) = 1/80 z + 3/1000 x + ---- - 3/80 y, + 2000 + + 31 + COEFF(2, 1, 2) = 1/80 z + ---- - 3/80 y + 9/1000 x, + 2000 + + 27 + COEFF(-1, 2, 2) = - 3/2000 + 3/80 y + 3/80 z - ---- x, + 1000 + + 21 + COEFF(0, 2, 2) = 3/80 z - 9/1000 x - ---- + 3/80 y, + 2000 + + 39 + COEFF(1, 2, 2) = 9/1000 x - ---- + 3/80 y + 3/80 z, + 2000 + + 57 27 + COEFF(2, 2, 2) = 3/80 z + 3/80 y - ---- + ---- x] + 2000 1000 + +> print_coeffs__lc_of_data(%, "coeffs_dyz->coeff_", "fp", +> "3d.coeffs/3d.cube.order3.smooth0/coeffs-dyz.compute.c"); +bytes used=541411112, alloc=4914300, time=58.94 +bytes used=542411340, alloc=4914300, time=59.11 +bytes used=543412560, alloc=4914300, time=59.19 +bytes used=544412780, alloc=4914300, time=59.51 +bytes used=545413112, alloc=4914300, time=59.69 +bytes used=546413320, alloc=4914300, time=59.75 +bytes used=547415428, alloc=4914300, time=59.84 +bytes used=548415576, alloc=4914300, time=59.95 +bytes used=549415756, alloc=4914300, time=60.32 +bytes used=550415900, alloc=4914300, time=60.42 +bytes used=551416040, alloc=4914300, time=60.82 +bytes used=552416820, alloc=4914300, time=61.03 +> +# d^2/dz^2 +> simplify( diff(interp_3d_cube_order3_smooth0,z,z) ); +bytes used=553417128, alloc=4914300, time=61.14 +1/20 DATA(0, 2, -1) + 1/20 DATA(2, 0, -1) + 1/40 DATA(0, -1, 2) + + - 1/80 DATA(0, 2, 2) + 7/80 DATA(-1, 0, -1) + 1/16 DATA(2, -1, -1) + + 11 + - -- DATA(0, 0, 0) - 1/8 DATA(1, 0, 0) - 1/8 DATA(0, 1, 0) + 80 + + - 9/80 DATA(1, 1, 0) + 1/20 DATA(0, 0, 1) + 1/16 DATA(1, 0, 1) + + + 1/16 DATA(0, 1, 1) + 3/40 DATA(1, 1, 1) + 1/40 DATA(2, 2, -1) + + + 3/80 DATA(1, 2, -1) + 1/16 DATA(-1, 2, -1) + 3/80 DATA(2, 1, -1) + + - 9/80 DATA(2, 0, 0) - 1/8 DATA(2, -1, 0) - 1/10 DATA(1, 2, 0) + + - 9/80 DATA(0, 2, 0) - 1/8 DATA(-1, 2, 0) - 1/10 DATA(2, 1, 0) + + - 7/80 DATA(2, 2, 0) + 1/16 DATA(2, -1, 1) + 3/40 DATA(2, 0, 1) + + + 1/16 DATA(-1, 2, 1) + 7/80 DATA(2, 1, 1) + 7/80 DATA(1, 2, 1) + + + 3/40 DATA(0, 2, 1) + 3/80 DATA(-1, -1, 2) + 1/10 DATA(2, 2, 1) + + + 1/80 DATA(1, -1, 2) - 1/80 DATA(2, 0, 2) + 1/80 DATA(0, 0, 2) + + + 1/40 DATA(-1, 0, 2) - 1/80 DATA(1, 1, 2) + 1/80 DATA(-1, 1, 2) + + - 1/40 DATA(2, 1, 2) - 1/40 DATA(1, 2, 2) - 3/20 DATA(0, -1, 0) + + 11 11 + - -- DATA(1, -1, 0) - 3/20 DATA(-1, 0, 0) - -- DATA(-1, 1, 0) + 80 80 + + + 1/40 DATA(-1, -1, 1) + 3/80 DATA(0, -1, 1) + 1/20 DATA(1, -1, 1) + + + 3/80 DATA(-1, 0, 1) + 1/20 DATA(-1, 1, 1) + 3/40 DATA(0, 0, -1) + + + 1/16 DATA(1, 0, -1) + 3/40 DATA(-1, 1, -1) + 1/16 DATA(0, 1, -1) + + 13 + + 1/20 DATA(1, 1, -1) - -- DATA(-1, -1, 0) + 1/10 DATA(-1, -1, -1) + 80 + + + 7/80 DATA(0, -1, -1) + 3/40 DATA(1, -1, -1) - 3/80 DATA(2, 2, 2) + + + 1/16 z DATA(0, 1, 2) + 1/16 z DATA(-1, 2, 2) + 1/16 z DATA(2, -1, 2) + + + 1/16 z DATA(1, 0, 2) + 3/80 y DATA(-1, 2, 2) - 3/80 y DATA(0, 2, 1) + + - 3/80 y DATA(1, 2, 0) + 3/80 y DATA(2, 2, -1) + 3/80 x DATA(2, 2, -1) + + + 3/80 x DATA(2, -1, 2) - 3/80 x DATA(2, 1, 0) - 3/80 x DATA(2, 0, 1) + + - 3/80 x DATA(-1, -1, -1) - 1/80 x DATA(0, -1, -1) + + + 1/80 x DATA(1, -1, -1) + 3/80 x DATA(2, 2, 2) + 1/80 x DATA(0, -1, 1) + + - 3/80 x DATA(-1, 2, 2) + 3/80 x DATA(2, 1, 2) + 1/80 x DATA(1, 2, 2) + + + 1/80 x DATA(0, -1, 0) - 3/16 z DATA(1, 2, 1) - 3/16 z DATA(0, 2, 1) + + + 1/16 z DATA(-1, -1, 2) - 3/16 z DATA(2, 2, 1) + 1/16 z DATA(1, -1, 2) + + + 1/16 z DATA(2, 0, 2) + 1/16 z DATA(0, 0, 2) + 1/16 z DATA(-1, 0, 2) + + + 1/16 z DATA(1, 1, 2) + 1/16 z DATA(-1, 1, 2) - 1/16 z DATA(0, 2, -1) + + - 3/16 z DATA(-1, -1, 1) - 3/16 z DATA(1, -1, 1) + 3/16 z DATA(0, 2, 0) + + - 1/16 z DATA(2, 1, -1) + 3/16 z DATA(2, -1, 0) + 3/16 z DATA(2, 0, 0) + + - 1/16 z DATA(2, 0, -1) + 1/16 z DATA(0, -1, 2) + 1/16 z DATA(0, 2, 2) + + - 1/16 z DATA(-1, 0, -1) - 1/16 z DATA(2, -1, -1) + 3/16 z DATA(0, 0, 0) + + + 3/16 z DATA(1, 0, 0) + 3/16 z DATA(0, 1, 0) + 3/16 z DATA(1, 1, 0) + + - 3/16 z DATA(0, 0, 1) - 3/16 z DATA(1, 0, 1) - 3/16 z DATA(0, 1, 1) + + - 3/16 z DATA(1, 1, 1) - 1/16 z DATA(2, 2, -1) - 1/16 z DATA(1, 2, -1) + + - 1/16 z DATA(-1, 2, -1) + 3/16 z DATA(-1, 0, 0) + 3/16 z DATA(-1, 1, 0) + + - 3/16 z DATA(-1, 1, 1) + 3/16 z DATA(1, 2, 0) + 3/16 z DATA(-1, 2, 0) + + + 3/16 z DATA(2, 1, 0) + 3/16 z DATA(2, 2, 0) - 3/16 z DATA(2, -1, 1) + + - 3/16 z DATA(2, 0, 1) - 3/16 z DATA(-1, 2, 1) - 3/16 z DATA(2, 1, 1) + + - 3/16 z DATA(-1, 0, 1) - 1/16 z DATA(0, 0, -1) - 1/16 z DATA(1, 0, -1) + + - 1/16 z DATA(-1, 1, -1) - 1/16 z DATA(0, 1, -1) - 1/16 z DATA(1, 1, -1) + + + 3/16 z DATA(-1, -1, 0) - 1/16 z DATA(-1, -1, -1) + + - 1/16 z DATA(0, -1, -1) - 1/16 z DATA(1, -1, -1) + 1/16 z DATA(2, 2, 2) + + - 3/16 z DATA(0, -1, 1) + 1/16 z DATA(2, 1, 2) + 1/16 z DATA(1, 2, 2) + + + 3/16 z DATA(0, -1, 0) + 3/16 z DATA(1, -1, 0) - 1/80 y DATA(-1, 0, 2) + + - 3/80 y DATA(2, -1, 2) + 1/80 y DATA(1, 1, 2) + 1/80 y DATA(0, 1, 2) + + + 1/80 y DATA(-1, 1, 2) + 3/80 y DATA(0, 2, -1) + 3/80 y DATA(-1, -1, 1) + + + 3/80 y DATA(1, -1, 1) + 1/80 y DATA(-1, 0, 1) - 1/80 y DATA(-1, 1, 1) + + - 1/80 y DATA(0, 0, -1) - 1/80 y DATA(1, 0, -1) + 1/80 y DATA(-1, 1, -1) + + + 1/80 y DATA(0, 1, -1) + 1/80 y DATA(1, 1, -1) + 3/80 y DATA(-1, -1, 0) + + - 3/80 y DATA(-1, -1, -1) - 3/80 y DATA(0, -1, -1) + + - 3/80 y DATA(1, -1, -1) + 3/80 y DATA(2, 2, 2) + 1/80 y DATA(2, 1, -1) + + + 1/80 y DATA(2, 0, 0) - 3/80 y DATA(0, -1, 2) - 1/80 x DATA(0, -1, 2) + + - 1/80 x DATA(0, 2, 2) + 1/80 x DATA(1, 0, 2) - 3/80 x DATA(-1, 0, -1) + + + 3/80 x DATA(2, -1, -1) + 1/80 x DATA(0, 0, 0) - 1/80 x DATA(1, 0, 0) + + + 1/80 x DATA(0, 1, 0) - 1/80 x DATA(1, 1, 0) + 1/80 x DATA(0, 0, 1) + + + 3/80 x DATA(2, 0, -1) - 1/80 y DATA(-1, 0, -1) - 3/80 y DATA(2, -1, -1) + + + 1/80 y DATA(0, 0, 0) + 1/80 y DATA(1, 0, 0) - 1/80 y DATA(0, 1, 0) + + - 1/80 y DATA(1, 1, 0) + 1/80 y DATA(0, 0, 1) + 1/80 y DATA(1, 0, 1) + + - 1/80 y DATA(0, 1, 1) - 1/80 y DATA(1, 1, 1) + 3/80 y DATA(1, 2, -1) + + + 3/80 y DATA(-1, 2, -1) + 3/80 y DATA(2, -1, 0) - 3/80 y DATA(0, 2, 0) + + - 3/80 y DATA(-1, 2, 0) - 1/80 y DATA(2, 1, 0) - 3/80 y DATA(2, 2, 0) + + + 3/80 y DATA(2, -1, 1) + 1/80 y DATA(2, 0, 1) - 3/80 y DATA(-1, 2, 1) + + - 1/80 y DATA(2, 1, 1) - 3/80 y DATA(1, 2, 1) - 3/80 y DATA(-1, -1, 2) + + - 3/80 y DATA(2, 2, 1) - 3/80 y DATA(1, -1, 2) - 1/80 y DATA(2, 0, 2) + + - 1/80 y DATA(0, 0, 2) - 1/80 y DATA(2, 0, -1) + 3/80 y DATA(0, 2, 2) + + - 1/80 y DATA(1, 0, 2) - 1/80 x DATA(0, 1, 2) - 3/80 x DATA(-1, 1, 2) + + - 1/80 x DATA(0, 2, -1) + 3/80 x DATA(-1, -1, 1) - 1/80 x DATA(1, -1, 1) + + + 3/80 x DATA(-1, 0, 1) + 3/80 x DATA(-1, 1, 1) - 1/80 x DATA(0, 0, -1) + + + 1/80 x DATA(1, 0, -1) - 3/80 x DATA(-1, 1, -1) - 1/80 x DATA(0, 1, -1) + + + 1/80 x DATA(1, 1, -1) + 3/80 x DATA(-1, -1, 0) + 3/80 y DATA(0, -1, 1) + + + 1/80 y DATA(2, 1, 2) + 3/80 y DATA(1, 2, 2) + 3/80 y DATA(0, -1, 0) + + + 3/80 y DATA(1, -1, 0) + 1/80 y DATA(-1, 0, 0) - 1/80 y DATA(-1, 1, 0) + + - 1/80 x DATA(1, 0, 1) + 1/80 x DATA(0, 1, 1) - 1/80 x DATA(1, 1, 1) + + + 1/80 x DATA(1, 2, -1) - 3/80 x DATA(-1, 2, -1) + 3/80 x DATA(2, 1, -1) + + - 3/80 x DATA(2, 0, 0) - 3/80 x DATA(2, -1, 0) - 1/80 x DATA(1, 2, 0) + + + 1/80 x DATA(0, 2, 0) + 3/80 x DATA(-1, 2, 0) - 3/80 x DATA(2, 2, 0) + + - 3/80 x DATA(2, -1, 1) + 3/80 x DATA(-1, 2, 1) - 3/80 x DATA(2, 1, 1) + + - 1/80 x DATA(1, 2, 1) + 1/80 x DATA(0, 2, 1) - 3/80 x DATA(-1, -1, 2) + + - 3/80 x DATA(2, 2, 1) + 1/80 x DATA(1, -1, 2) + 3/80 x DATA(2, 0, 2) + + - 1/80 x DATA(0, 0, 2) - 3/80 x DATA(-1, 0, 2) + 1/80 x DATA(1, 1, 2) + + - 1/80 x DATA(1, -1, 0) + 3/80 x DATA(-1, 0, 0) + 3/80 x DATA(-1, 1, 0) + +> coeffs_as_lc_of_data(%, posn_list_3d_size4); +bytes used=554417308, alloc=4914300, time=61.20 +bytes used=555417472, alloc=4914300, time=61.27 +bytes used=556418900, alloc=4914300, time=61.34 +bytes used=557419052, alloc=4914300, time=61.41 +bytes used=558420004, alloc=4914300, time=61.49 +[COEFF(-1, -1, -1) = - 1/16 z + 1/10 - 3/80 x - 3/80 y, + + COEFF(0, -1, -1) = - 3/80 y + 7/80 - 1/80 x - 1/16 z, + + COEFF(1, -1, -1) = - 3/80 y + 1/80 x - 1/16 z + 3/40, + + COEFF(2, -1, -1) = - 1/16 z - 3/80 y + 1/16 + 3/80 x, + + COEFF(-1, 0, -1) = 7/80 - 1/16 z - 1/80 y - 3/80 x, + + COEFF(0, 0, -1) = - 1/80 y - 1/16 z + 3/40 - 1/80 x, + + COEFF(1, 0, -1) = 1/16 + 1/80 x - 1/80 y - 1/16 z, + + COEFF(2, 0, -1) = - 1/16 z + 3/80 x + 1/20 - 1/80 y, + + COEFF(-1, 1, -1) = 3/40 - 3/80 x + 1/80 y - 1/16 z, + + COEFF(0, 1, -1) = - 1/16 z + 1/16 + 1/80 y - 1/80 x, + + COEFF(1, 1, -1) = 1/80 y - 1/16 z + 1/20 + 1/80 x, + + COEFF(2, 1, -1) = 3/80 + 3/80 x - 1/16 z + 1/80 y, + + COEFF(-1, 2, -1) = - 1/16 z - 3/80 x + 3/80 y + 1/16, + + COEFF(0, 2, -1) = - 1/16 z + 1/20 + 3/80 y - 1/80 x, + + COEFF(1, 2, -1) = 3/80 - 1/16 z + 1/80 x + 3/80 y, + + COEFF(2, 2, -1) = 3/80 x + 3/80 y - 1/16 z + 1/40, + + 13 + COEFF(-1, -1, 0) = - -- + 3/80 x + 3/16 z + 3/80 y, + 80 + + COEFF(0, -1, 0) = - 3/20 + 3/80 y + 1/80 x + 3/16 z, + + 11 + COEFF(1, -1, 0) = - 1/80 x - -- + 3/80 y + 3/16 z, + 80 + + COEFF(2, -1, 0) = 3/16 z - 1/8 + 3/80 y - 3/80 x, + + COEFF(-1, 0, 0) = 3/16 z + 1/80 y + 3/80 x - 3/20, + + 11 + COEFF(0, 0, 0) = 1/80 x + 1/80 y - -- + 3/16 z, + 80 + + COEFF(1, 0, 0) = - 1/80 x - 1/8 + 3/16 z + 1/80 y, + + COEFF(2, 0, 0) = - 3/80 x - 9/80 + 3/16 z + 1/80 y, + + 11 + COEFF(-1, 1, 0) = 3/80 x - 1/80 y - -- + 3/16 z, + 80 + + COEFF(0, 1, 0) = 3/16 z + 1/80 x - 1/8 - 1/80 y, + + COEFF(1, 1, 0) = 3/16 z - 1/80 y - 9/80 - 1/80 x, + + COEFF(2, 1, 0) = - 3/80 x - 1/10 + 3/16 z - 1/80 y, + + COEFF(-1, 2, 0) = 3/16 z + 3/80 x - 3/80 y - 1/8, + + COEFF(0, 2, 0) = 1/80 x + 3/16 z - 3/80 y - 9/80, + + COEFF(1, 2, 0) = - 1/80 x + 3/16 z - 3/80 y - 1/10, + + COEFF(2, 2, 0) = - 3/80 y + 3/16 z - 3/80 x - 7/80, + + COEFF(-1, -1, 1) = - 3/16 z + 3/80 y + 3/80 x + 1/40, + + COEFF(0, -1, 1) = 3/80 + 3/80 y + 1/80 x - 3/16 z, + + COEFF(1, -1, 1) = 1/20 - 3/16 z + 3/80 y - 1/80 x, + + COEFF(2, -1, 1) = - 3/80 x + 1/16 + 3/80 y - 3/16 z, + + COEFF(-1, 0, 1) = 3/80 - 3/16 z + 1/80 y + 3/80 x, + + COEFF(0, 0, 1) = 1/20 + 1/80 y - 3/16 z + 1/80 x, + + COEFF(1, 0, 1) = - 3/16 z + 1/16 - 1/80 x + 1/80 y, + + COEFF(2, 0, 1) = - 3/16 z + 1/80 y + 3/40 - 3/80 x, + + COEFF(-1, 1, 1) = 3/80 x - 3/16 z + 1/20 - 1/80 y, + + COEFF(0, 1, 1) = 1/16 - 3/16 z - 1/80 y + 1/80 x, + + COEFF(1, 1, 1) = - 1/80 x + 3/40 - 1/80 y - 3/16 z, + + COEFF(2, 1, 1) = - 3/80 x - 3/16 z - 1/80 y + 7/80, + + COEFF(-1, 2, 1) = 3/80 x - 3/16 z + 1/16 - 3/80 y, + + COEFF(0, 2, 1) = 1/80 x - 3/80 y - 3/16 z + 3/40, + + COEFF(1, 2, 1) = - 3/80 y + 7/80 - 1/80 x - 3/16 z, + + COEFF(2, 2, 1) = - 3/80 y + 1/10 - 3/80 x - 3/16 z, + + COEFF(-1, -1, 2) = - 3/80 x + 1/16 z + 3/80 - 3/80 y, + + COEFF(0, -1, 2) = 1/16 z + 1/40 - 3/80 y - 1/80 x, + + COEFF(1, -1, 2) = 1/16 z + 1/80 + 1/80 x - 3/80 y, + + COEFF(2, -1, 2) = 3/80 x + 1/16 z - 3/80 y, + + COEFF(-1, 0, 2) = - 3/80 x + 1/40 - 1/80 y + 1/16 z, + + COEFF(0, 0, 2) = 1/16 z - 1/80 y + 1/80 - 1/80 x, + + COEFF(1, 0, 2) = 1/16 z + 1/80 x - 1/80 y, + + COEFF(2, 0, 2) = 1/16 z - 1/80 + 3/80 x - 1/80 y, + + COEFF(-1, 1, 2) = 1/16 z + 1/80 + 1/80 y - 3/80 x, + + COEFF(0, 1, 2) = - 1/80 x + 1/80 y + 1/16 z, + + COEFF(1, 1, 2) = 1/80 y + 1/80 x + 1/16 z - 1/80, + + COEFF(2, 1, 2) = - 1/40 + 3/80 x + 1/80 y + 1/16 z, + + COEFF(-1, 2, 2) = - 3/80 x + 1/16 z + 3/80 y, + + COEFF(0, 2, 2) = 3/80 y - 1/80 + 1/16 z - 1/80 x, + + COEFF(1, 2, 2) = 3/80 y - 1/40 + 1/80 x + 1/16 z, + + COEFF(2, 2, 2) = - 3/80 + 1/16 z + 3/80 y + 3/80 x] + +> print_coeffs__lc_of_data(%, "coeffs_dzz->coeff_", "fp", +> "3d.coeffs/3d.cube.order3.smooth0/coeffs-dzz.compute.c"); +bytes used=559420156, alloc=4914300, time=61.56 +bytes used=560420316, alloc=4914300, time=61.73 +bytes used=561420504, alloc=4914300, time=61.81 +bytes used=562420668, alloc=4914300, time=62.14 +bytes used=563420960, alloc=4914300, time=62.24 +bytes used=564421192, alloc=4914300, time=62.31 +bytes used=565421444, alloc=4914300, time=62.40 +bytes used=566421668, alloc=4914300, time=62.49 +bytes used=567421820, alloc=4914300, time=62.93 +bytes used=568422076, alloc=4914300, time=63.04 +bytes used=569422264, alloc=4914300, time=63.41 +> +################################################################################ +> +# +# 3d, cube, order=4, smoothing=0 (size=5) +# +> +# interpolating polynomial +> interp_3d_cube_order4_smooth0 +> := Lagrange_polynomial_interpolant(fn_3d_order4, coeffs_list_3d_order4, +> coords_list_3d, posn_list_3d_size5); +bytes used=570422516, alloc=4914300, time=63.53 +bytes used=571422828, alloc=4914300, time=63.60 +bytes used=572423056, alloc=4914300, time=63.68 +bytes used=573423260, alloc=4914300, time=63.75 +bytes used=574423572, alloc=4914300, time=63.83 +bytes used=575423796, alloc=4914300, time=63.90 +bytes used=576430880, alloc=4914300, time=63.96 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alloc=4914300, time=72.19 +bytes used=679692320, alloc=4914300, time=72.27 +bytes used=680712772, alloc=4914300, time=72.35 +bytes used=681718144, alloc=4914300, time=72.42 +bytes used=682718340, alloc=4914300, time=72.49 +bytes used=683726596, alloc=4914300, time=72.57 +bytes used=684732808, alloc=4914300, time=72.65 +bytes used=685746688, alloc=4914300, time=72.71 + 292 +interp_3d_cube_order4_smooth0 := ---- DATA(0, -2, 0) - 2/125 DATA(-2, -2, 1) + 6125 + + 173 + - ---- DATA(1, -2, 1) + (1/350 DATA(-2, -2, 1) - 1/700 DATA(1, -2, 1) + 6125 + + - 1/350 DATA(1, -2, 0) - 1/350 DATA(2, 0, -1) + 1/700 DATA(-1, -2, 1) + + + 1/350 DATA(-2, -1, 1) - 1/175 DATA(2, -2, 0) - 1/350 DATA(2, -2, 1) + + + 1/350 DATA(-2, 0, 1) + 1/175 DATA(-2, -1, 0) + 1/350 DATA(1, 0, 2) + + + 1/700 DATA(-1, 0, -1) - 1/350 DATA(2, -1, -1) - 1/350 DATA(1, 0, 0) + + - 1/350 DATA(1, 1, 0) - 1/700 DATA(1, 0, 1) - 1/700 DATA(1, 1, 1) + + - 1/350 DATA(2, 2, -1) - 1/700 DATA(1, 2, -1) - 1/175 DATA(-2, 1, -2) + + + 1/700 DATA(-1, 2, -1) - 1/350 DATA(2, 1, -1) - 1/175 DATA(2, 0, 0) + + + 1/350 DATA(-2, 1, 1) - 1/175 DATA(2, -1, 0) - 1/350 DATA(-1, 1, -2) + + - 1/350 DATA(1, 2, 0) + 1/175 DATA(2, 1, -2) + 1/350 DATA(-1, 2, 0) + + - 1/175 DATA(2, 1, 0) + 1/350 DATA(1, 1, -2) - 1/350 DATA(-1, 2, -2) + + - 1/175 DATA(-2, 2, -2) - 1/175 DATA(2, 2, 0) + 1/350 DATA(-2, 2, 1) + + - 1/350 DATA(2, -1, 1) + 1/175 DATA(2, 0, -2) + 1/175 DATA(-2, 0, 0) + + - 1/350 DATA(2, 0, 1) + 1/350 DATA(1, 2, -2) + 1/700 DATA(-1, -2, -1) + + + 1/700 DATA(-1, 2, 1) + 1/350 DATA(-2, -2, -1) + 1/175 DATA(2, 2, -2) + + - 1/350 DATA(2, 1, 1) - 1/700 DATA(1, 2, 1) - 1/350 DATA(-1, -1, 2) + + - 1/350 DATA(2, 2, 1) + 1/175 DATA(-2, 1, 0) - 1/175 DATA(-2, -2, 2) + + - 1/700 DATA(1, -2, -1) + 1/350 DATA(1, -1, 2) + 1/175 DATA(2, 0, 2) + + - 1/350 DATA(-1, 0, 2) + 1/350 DATA(-2, -1, -1) - 1/350 DATA(2, -2, -1) + + + 1/175 DATA(2, -1, 2) + 1/350 DATA(1, 1, 2) - 1/350 DATA(-1, 1, 2) + + - 1/350 DATA(-1, -2, 2) + 1/350 DATA(1, -2, 2) + 1/350 DATA(-2, 0, -1) + + - 1/350 DATA(-1, 2, 2) + 1/175 DATA(2, 1, 2) + 1/350 DATA(1, 2, 2) + + + 1/350 DATA(-2, 1, -1) - 1/350 DATA(1, -1, 0) + 1/350 DATA(-1, 0, 0) + + + 1/350 DATA(-1, 1, 0) + 1/700 DATA(-1, -1, 1) - 1/700 DATA(1, -1, 1) + + + 1/700 DATA(-1, 0, 1) + 1/700 DATA(-1, 1, 1) - 1/700 DATA(1, 0, -1) + + + 1/700 DATA(-1, 1, -1) - 1/700 DATA(1, 1, -1) + 1/350 DATA(-1, -1, 0) + + + 1/700 DATA(-1, -1, -1) - 1/700 DATA(1, -1, -1) + 1/175 DATA(2, -2, 2) + + + 1/350 DATA(-2, 2, -1) + 1/175 DATA(2, 2, 2) + 1/175 DATA(-2, -2, 0) + + + 1/350 DATA(-1, -2, 0) - 1/175 DATA(-2, -1, 2) + 1/175 DATA(-2, 2, 0) + + - 1/175 DATA(-2, 0, 2) - 1/175 DATA(-2, 1, 2) - 1/175 DATA(-2, -2, -2) + + - 1/175 DATA(-2, 2, 2) + 1/350 DATA(1, -2, -2) - 1/350 DATA(-1, -2, -2) + + - 1/175 DATA(-2, -1, -2) + 1/175 DATA(2, -2, -2) + 1/350 DATA(1, -1, -2) + + - 1/350 DATA(-1, -1, -2) - 1/175 DATA(-2, 0, -2) + 1/175 DATA(2, -1, -2) + + 2 + - 1/350 DATA(-1, 0, -2) + 1/350 DATA(1, 0, -2)) x z + ( + + 1/175 DATA(0, -2, 0) + 1/350 DATA(-2, -2, 1) + 1/350 DATA(1, -2, 1) + + + 1/350 DATA(0, -2, 1) + 1/175 DATA(1, -2, 0) - 1/350 DATA(0, 2, -1) + + + 1/350 DATA(-1, -2, 1) - 1/350 DATA(0, -1, 2) + 1/700 DATA(-2, -1, 1) + + + 1/175 DATA(2, -2, 0) + 1/350 DATA(2, -2, 1) + 1/350 DATA(-2, -1, 0) + + + 1/175 DATA(0, 2, 2) + 1/700 DATA(2, -1, -1) - 1/350 DATA(0, 1, 0) + + - 1/350 DATA(1, 1, 0) - 1/700 DATA(0, 1, 1) - 1/700 DATA(1, 1, 1) + + - 1/350 DATA(2, 2, -1) - 1/350 DATA(1, 2, -1) + 1/350 DATA(-2, 1, -2) + + - 1/350 DATA(-1, 2, -1) - 1/700 DATA(2, 1, -1) + 1/350 DATA(0, 1, -2) + + - 1/700 DATA(-2, 1, 1) + 1/350 DATA(2, -1, 0) + 1/350 DATA(-1, 1, -2) + + - 1/175 DATA(1, 2, 0) + 1/350 DATA(2, 1, -2) - 1/175 DATA(0, 2, 0) + + - 1/175 DATA(-1, 2, 0) - 1/350 DATA(2, 1, 0) + 1/350 DATA(1, 1, -2) + + + 1/175 DATA(-1, 2, -2) + 1/175 DATA(-2, 2, -2) - 1/175 DATA(2, 2, 0) + + + 1/175 DATA(0, 2, -2) - 1/350 DATA(-2, 2, 1) + 1/700 DATA(2, -1, 1) + + + 1/175 DATA(1, 2, -2) + 1/350 DATA(-1, -2, -1) - 1/350 DATA(-1, 2, 1) + + + 1/350 DATA(-2, -2, -1) + 1/175 DATA(2, 2, -2) - 1/700 DATA(2, 1, 1) + + - 1/350 DATA(1, 2, 1) - 1/350 DATA(0, 2, 1) + 1/350 DATA(0, -2, -1) + + - 1/350 DATA(-1, -1, 2) - 1/350 DATA(2, 2, 1) - 1/350 DATA(-2, 1, 0) + + - 1/175 DATA(-2, -2, 2) + 1/350 DATA(1, -2, -1) - 1/350 DATA(1, -1, 2) + + + 1/700 DATA(-2, -1, -1) + 1/350 DATA(2, -2, -1) - 1/350 DATA(2, -1, 2) + + - 1/175 DATA(0, -2, 2) + 1/350 DATA(1, 1, 2) + 1/350 DATA(0, 1, 2) + + + 1/350 DATA(-1, 1, 2) - 1/175 DATA(-1, -2, 2) - 1/175 DATA(1, -2, 2) + + + 1/175 DATA(-1, 2, 2) + 1/350 DATA(2, 1, 2) + 1/175 DATA(1, 2, 2) + + - 1/700 DATA(-2, 1, -1) + 1/350 DATA(0, -1, 0) + 1/350 DATA(1, -1, 0) + + - 1/350 DATA(-1, 1, 0) + 1/700 DATA(-1, -1, 1) + 1/700 DATA(0, -1, 1) + + + 1/700 DATA(1, -1, 1) - 1/700 DATA(-1, 1, 1) - 1/700 DATA(-1, 1, -1) + + - 1/700 DATA(0, 1, -1) - 1/700 DATA(1, 1, -1) + 1/350 DATA(-1, -1, 0) + + + 1/700 DATA(-1, -1, -1) + 1/700 DATA(0, -1, -1) + 1/700 DATA(1, -1, -1) + + - 1/175 DATA(2, -2, 2) - 1/350 DATA(-2, 2, -1) + 1/175 DATA(2, 2, 2) + + + 1/175 DATA(-2, -2, 0) + 1/175 DATA(-1, -2, 0) - 1/350 DATA(-2, -1, 2) + + - 1/175 DATA(-2, 2, 0) + 1/350 DATA(-2, 1, 2) - 1/175 DATA(-2, -2, -2) + + + 1/175 DATA(-2, 2, 2) - 1/175 DATA(1, -2, -2) - 1/175 DATA(0, -2, -2) + + - 1/175 DATA(-1, -2, -2) - 1/350 DATA(-2, -1, -2) - 1/175 DATA(2, -2, -2) + + - 1/350 DATA(1, -1, -2) - 1/350 DATA(0, -1, -2) - 1/350 DATA(-1, -1, -2) + + 2 / 47 + - 1/350 DATA(2, -1, -2)) y z + |- ---- DATA(-2, -2, 1) + \ 5250 + + 167 187 167 + - ---- DATA(1, -2, 1) - ---- DATA(1, -2, 0) + ---- DATA(-1, -2, 1) + 7000 7000 7000 + + 167 17 47 + + ---- DATA(-2, -1, 1) + ---- DATA(2, -2, 0) + ---- DATA(2, -2, 1) + 7000 5250 5250 + + 187 167 289 + + ---- DATA(-2, -1, 0) - ---- DATA(2, -1, -1) + ----- DATA(1, 1, 0) + 7000 7000 10500 + + 137 47 167 + + ---- DATA(1, 1, 1) - ---- DATA(2, 2, -1) + ---- DATA(1, 2, -1) + 5250 5250 7000 + + 107 167 167 + - ---- DATA(-2, 1, -2) - ---- DATA(-1, 2, -1) + ---- DATA(2, 1, -1) + 7000 7000 7000 + + 167 187 229 + - ---- DATA(-2, 1, 1) - ---- DATA(2, -1, 0) - ----- DATA(-1, 1, -2) + 7000 7000 10500 + + 187 107 187 + + ---- DATA(1, 2, 0) + ---- DATA(2, 1, -2) - ---- DATA(-1, 2, 0) + 7000 7000 7000 + + 187 229 107 + + ---- DATA(2, 1, 0) + ----- DATA(1, 1, -2) - ---- DATA(-1, 2, -2) + 7000 10500 7000 + + 137 17 47 + + ---- DATA(-2, 2, -2) - ---- DATA(2, 2, 0) + ---- DATA(-2, 2, 1) + 5250 5250 5250 + + 167 107 167 + - ---- DATA(2, -1, 1) + ---- DATA(1, 2, -2) + ---- DATA(-1, -2, -1) + 7000 7000 7000 + + 167 47 137 + - ---- DATA(-1, 2, 1) - ---- DATA(-2, -2, -1) - ---- DATA(2, 2, -2) + 7000 5250 5250 + + 167 167 229 + + ---- DATA(2, 1, 1) + ---- DATA(1, 2, 1) + ----- DATA(-1, -1, 2) + 7000 7000 10500 + + 47 187 137 + - ---- DATA(2, 2, 1) - ---- DATA(-2, 1, 0) - ---- DATA(-2, -2, 2) + 5250 7000 5250 + + 167 229 167 + - ---- DATA(1, -2, -1) - ----- DATA(1, -1, 2) + ---- DATA(-2, -1, -1) + 7000 10500 7000 + + 47 107 229 + + ---- DATA(2, -2, -1) - ---- DATA(2, -1, 2) + ----- DATA(1, 1, 2) + 5250 7000 10500 + + 229 107 107 + - ----- DATA(-1, 1, 2) + ---- DATA(-1, -2, 2) - ---- DATA(1, -2, 2) + 10500 7000 7000 + + 107 107 107 + - ---- DATA(-1, 2, 2) + ---- DATA(2, 1, 2) + ---- DATA(1, 2, 2) + 7000 7000 7000 + + 167 289 289 + - ---- DATA(-2, 1, -1) - ----- DATA(1, -1, 0) - ----- DATA(-1, 1, 0) + 7000 10500 10500 + + 137 137 137 + + ---- DATA(-1, -1, 1) - ---- DATA(1, -1, 1) - ---- DATA(-1, 1, 1) + 5250 5250 5250 + + 137 137 289 + - ---- DATA(-1, 1, -1) + ---- DATA(1, 1, -1) + ----- DATA(-1, -1, 0) + 5250 5250 10500 + + 137 137 137 + + ---- DATA(-1, -1, -1) - ---- DATA(1, -1, -1) + ---- DATA(2, -2, 2) + 5250 5250 5250 + + 47 137 17 + + ---- DATA(-2, 2, -1) - ---- DATA(2, 2, 2) - ---- DATA(-2, -2, 0) + 5250 5250 5250 + + 187 107 17 + + ---- DATA(-1, -2, 0) + ---- DATA(-2, -1, 2) + ---- DATA(-2, 2, 0) + 7000 7000 5250 + + 107 137 137 + - ---- DATA(-2, 1, 2) - ---- DATA(-2, -2, -2) + ---- DATA(-2, 2, 2) + 7000 5250 5250 + + 107 107 107 + - ---- DATA(1, -2, -2) + ---- DATA(-1, -2, -2) + ---- DATA(-2, -1, -2) + 7000 7000 7000 + + 137 229 229 + + ---- DATA(2, -2, -2) - ----- DATA(1, -1, -2) + ----- DATA(-1, -1, -2) + 5250 10500 10500 + + 107 \ / 107 + - ---- DATA(2, -1, -2)| x y + |- ---- DATA(-2, -2, 1) + 7000 / \ 7000 + + 167 187 187 + - ---- DATA(1, -2, 1) - ---- DATA(0, -2, 1) - ---- DATA(0, 2, -1) + 7000 7000 7000 + + 167 187 229 + - ---- DATA(-1, -2, 1) - ---- DATA(0, -1, 2) - ----- DATA(-2, -1, 1) + 7000 7000 10500 + + 107 17 229 + - ---- DATA(2, -2, 1) - ---- DATA(0, 2, 2) + ----- DATA(2, -1, -1) + 7000 5250 10500 + + 289 137 107 + + ----- DATA(0, 1, 1) + ---- DATA(1, 1, 1) - ---- DATA(2, 2, -1) + 10500 5250 7000 + + 167 107 167 + - ---- DATA(1, 2, -1) - ---- DATA(-2, 1, -2) - ---- DATA(-1, 2, -1) + 7000 7000 7000 + + 229 187 229 + - ----- DATA(2, 1, -1) - ---- DATA(0, 1, -2) + ----- DATA(-2, 1, 1) + 10500 7000 10500 + + 167 107 167 + - ---- DATA(-1, 1, -2) - ---- DATA(2, 1, -2) - ---- DATA(1, 1, -2) + 7000 7000 7000 + + 47 137 17 + + ---- DATA(-1, 2, -2) + ---- DATA(-2, 2, -2) + ---- DATA(0, 2, -2) + 5250 5250 5250 + + 107 229 47 + + ---- DATA(-2, 2, 1) - ----- DATA(2, -1, 1) + ---- DATA(1, 2, -2) + 7000 10500 5250 + + 167 167 107 + + ---- DATA(-1, -2, -1) + ---- DATA(-1, 2, 1) + ---- DATA(-2, -2, -1) + 7000 7000 7000 + + 137 229 167 + + ---- DATA(2, 2, -2) + ----- DATA(2, 1, 1) + ---- DATA(1, 2, 1) + 5250 10500 7000 + + 187 187 167 + + ---- DATA(0, 2, 1) + ---- DATA(0, -2, -1) - ---- DATA(-1, -1, 2) + 7000 7000 7000 + + 107 137 167 + + ---- DATA(2, 2, 1) + ---- DATA(-2, -2, 2) + ---- DATA(1, -2, -1) + 7000 5250 7000 + + 167 229 107 + - ---- DATA(1, -1, 2) + ----- DATA(-2, -1, -1) + ---- DATA(2, -2, -1) + 7000 10500 7000 + + 107 17 167 + - ---- DATA(2, -1, 2) + ---- DATA(0, -2, 2) + ---- DATA(1, 1, 2) + 7000 5250 7000 + + 187 167 47 + + ---- DATA(0, 1, 2) + ---- DATA(-1, 1, 2) + ---- DATA(-1, -2, 2) + 7000 7000 5250 + + 47 47 107 + + ---- DATA(1, -2, 2) - ---- DATA(-1, 2, 2) + ---- DATA(2, 1, 2) + 5250 5250 7000 + + 47 229 137 + - ---- DATA(1, 2, 2) - ----- DATA(-2, 1, -1) - ---- DATA(-1, -1, 1) + 5250 10500 5250 + + 289 137 137 + - ----- DATA(0, -1, 1) - ---- DATA(1, -1, 1) + ---- DATA(-1, 1, 1) + 10500 5250 5250 + + 137 289 137 + - ---- DATA(-1, 1, -1) - ----- DATA(0, 1, -1) - ---- DATA(1, 1, -1) + 5250 10500 5250 + + 137 289 137 + + ---- DATA(-1, -1, -1) + ----- DATA(0, -1, -1) + ---- DATA(1, -1, -1) + 5250 10500 5250 + + 137 107 137 + + ---- DATA(2, -2, 2) - ---- DATA(-2, 2, -1) - ---- DATA(2, 2, 2) + 5250 7000 5250 + + 107 107 137 + - ---- DATA(-2, -1, 2) + ---- DATA(-2, 1, 2) - ---- DATA(-2, -2, -2) + 7000 7000 5250 + + 137 47 17 + - ---- DATA(-2, 2, 2) - ---- DATA(1, -2, -2) - ---- DATA(0, -2, -2) + 5250 5250 5250 + + 47 107 137 + - ---- DATA(-1, -2, -2) + ---- DATA(-2, -1, -2) - ---- DATA(2, -2, -2) + 5250 7000 5250 + + 167 187 167 + + ---- DATA(1, -1, -2) + ---- DATA(0, -1, -2) + ---- DATA(-1, -1, -2) + 7000 7000 7000 + + 107 \ / 107 + + ---- DATA(2, -1, -2)| y z + |- ---- DATA(-2, -2, 1) + 7000 / \ 7000 + + 229 187 229 + + ----- DATA(1, -2, 1) - ---- DATA(2, 0, -1) - ----- DATA(-1, -2, 1) + 10500 7000 10500 + + 167 107 187 + - ---- DATA(-2, -1, 1) + ---- DATA(2, -2, 1) - ---- DATA(-2, 0, 1) + 7000 7000 7000 + + 187 289 167 + + ---- DATA(1, 0, 2) + ----- DATA(-1, 0, -1) - ---- DATA(2, -1, -1) + 7000 10500 7000 + + 289 137 107 + + ----- DATA(1, 0, 1) + ---- DATA(1, 1, 1) - ---- DATA(2, 2, -1) + 10500 5250 7000 + + 229 47 229 + - ----- DATA(1, 2, -1) - ---- DATA(-2, 1, -2) + ----- DATA(-1, 2, -1) + 10500 5250 10500 + + 167 167 167 + - ---- DATA(2, 1, -1) - ---- DATA(-2, 1, 1) + ---- DATA(-1, 1, -2) + 7000 7000 7000 + + 47 167 107 + + ---- DATA(2, 1, -2) - ---- DATA(1, 1, -2) + ---- DATA(-1, 2, -2) + 5250 7000 7000 + + 137 107 167 + - ---- DATA(-2, 2, -2) - ---- DATA(-2, 2, 1) + ---- DATA(2, -1, 1) + 5250 7000 7000 + + 17 187 107 + + ---- DATA(2, 0, -2) + ---- DATA(2, 0, 1) - ---- DATA(1, 2, -2) + 5250 7000 7000 + + 229 229 107 + + ----- DATA(-1, -2, -1) - ----- DATA(-1, 2, 1) + ---- DATA(-2, -2, -1) + 10500 10500 7000 + + 137 167 229 + + ---- DATA(2, 2, -2) + ---- DATA(2, 1, 1) + ----- DATA(1, 2, 1) + 5250 7000 10500 + + 167 107 137 + - ---- DATA(-1, -1, 2) + ---- DATA(2, 2, 1) + ---- DATA(-2, -2, 2) + 7000 7000 5250 + + 229 167 17 + - ----- DATA(1, -2, -1) + ---- DATA(1, -1, 2) - ---- DATA(2, 0, 2) + 10500 7000 5250 + + 187 167 107 + - ---- DATA(-1, 0, 2) + ---- DATA(-2, -1, -1) - ---- DATA(2, -2, -1) + 7000 7000 7000 + + 47 167 167 + - ---- DATA(2, -1, 2) + ---- DATA(1, 1, 2) - ---- DATA(-1, 1, 2) + 5250 7000 7000 + + 107 107 187 + - ---- DATA(-1, -2, 2) + ---- DATA(1, -2, 2) + ---- DATA(-2, 0, -1) + 7000 7000 7000 + + 107 47 107 + - ---- DATA(-1, 2, 2) - ---- DATA(2, 1, 2) + ---- DATA(1, 2, 2) + 7000 5250 7000 + + 167 137 137 + + ---- DATA(-2, 1, -1) - ---- DATA(-1, -1, 1) + ---- DATA(1, -1, 1) + 7000 5250 5250 + + 289 137 289 + - ----- DATA(-1, 0, 1) - ---- DATA(-1, 1, 1) - ----- DATA(1, 0, -1) + 10500 5250 10500 + + 137 137 137 + + ---- DATA(-1, 1, -1) - ---- DATA(1, 1, -1) + ---- DATA(-1, -1, -1) + 5250 5250 5250 + + 137 137 107 + - ---- DATA(1, -1, -1) - ---- DATA(2, -2, 2) + ---- DATA(-2, 2, -1) + 5250 5250 7000 + + 137 47 17 + - ---- DATA(2, 2, 2) + ---- DATA(-2, -1, 2) + ---- DATA(-2, 0, 2) + 5250 5250 5250 + + 47 137 137 + + ---- DATA(-2, 1, 2) - ---- DATA(-2, -2, -2) + ---- DATA(-2, 2, 2) + 5250 5250 5250 + + 107 107 47 + - ---- DATA(1, -2, -2) + ---- DATA(-1, -2, -2) - ---- DATA(-2, -1, -2) + 7000 7000 5250 + + 137 167 167 + + ---- DATA(2, -2, -2) - ---- DATA(1, -1, -2) + ---- DATA(-1, -1, -2) + 5250 7000 7000 + + 17 47 187 + - ---- DATA(-2, 0, -2) + ---- DATA(2, -1, -2) + ---- DATA(-1, 0, -2) + 5250 5250 7000 + + 187 \ + - ---- DATA(1, 0, -2)| x z + (- 1/175 DATA(-2, -2, 1) + 7000 / + + + 1/350 DATA(1, -2, 1) + 1/350 DATA(1, -2, 0) - 1/175 DATA(2, 0, -1) + + - 1/350 DATA(-1, -2, 1) + 1/350 DATA(-2, -1, 1) + 1/175 DATA(2, -2, 0) + + + 1/175 DATA(2, -2, 1) + 1/175 DATA(-2, 0, 1) + 1/350 DATA(-2, -1, 0) + + - 1/350 DATA(1, 0, 2) + 1/350 DATA(-1, 0, -1) - 1/350 DATA(2, -1, -1) + + - 1/350 DATA(1, 0, 0) - 1/700 DATA(1, 1, 0) - 1/350 DATA(1, 0, 1) + + - 1/700 DATA(1, 1, 1) + 1/175 DATA(2, 2, -1) + 1/350 DATA(1, 2, -1) + + + 1/350 DATA(-2, 1, -2) - 1/350 DATA(-1, 2, -1) - 1/350 DATA(2, 1, -1) + + - 1/175 DATA(2, 0, 0) + 1/350 DATA(-2, 1, 1) - 1/350 DATA(2, -1, 0) + + + 1/700 DATA(-1, 1, -2) + 1/350 DATA(1, 2, 0) - 1/350 DATA(2, 1, -2) + + - 1/350 DATA(-1, 2, 0) - 1/350 DATA(2, 1, 0) - 1/700 DATA(1, 1, -2) + + - 1/350 DATA(-1, 2, -2) - 1/175 DATA(-2, 2, -2) + 1/175 DATA(2, 2, 0) + + - 1/175 DATA(-2, 2, 1) - 1/350 DATA(2, -1, 1) - 1/175 DATA(2, 0, -2) + + + 1/175 DATA(-2, 0, 0) - 1/175 DATA(2, 0, 1) + 1/350 DATA(1, 2, -2) + + - 1/350 DATA(-1, -2, -1) - 1/350 DATA(-1, 2, 1) - 1/175 DATA(-2, -2, -1) + + + 1/175 DATA(2, 2, -2) - 1/350 DATA(2, 1, 1) + 1/350 DATA(1, 2, 1) + + + 1/700 DATA(-1, -1, 2) + 1/175 DATA(2, 2, 1) + 1/350 DATA(-2, 1, 0) + + - 1/175 DATA(-2, -2, 2) + 1/350 DATA(1, -2, -1) - 1/700 DATA(1, -1, 2) + + - 1/175 DATA(2, 0, 2) + 1/350 DATA(-1, 0, 2) + 1/350 DATA(-2, -1, -1) + + + 1/175 DATA(2, -2, -1) - 1/350 DATA(2, -1, 2) - 1/700 DATA(1, 1, 2) + + + 1/700 DATA(-1, 1, 2) - 1/350 DATA(-1, -2, 2) + 1/350 DATA(1, -2, 2) + + + 1/175 DATA(-2, 0, -1) - 1/350 DATA(-1, 2, 2) - 1/350 DATA(2, 1, 2) + + + 1/350 DATA(1, 2, 2) + 1/350 DATA(-2, 1, -1) - 1/700 DATA(1, -1, 0) + + + 1/350 DATA(-1, 0, 0) + 1/700 DATA(-1, 1, 0) + 1/700 DATA(-1, -1, 1) + + - 1/700 DATA(1, -1, 1) + 1/350 DATA(-1, 0, 1) + 1/700 DATA(-1, 1, 1) + + - 1/350 DATA(1, 0, -1) + 1/700 DATA(-1, 1, -1) - 1/700 DATA(1, 1, -1) + + + 1/700 DATA(-1, -1, 0) + 1/700 DATA(-1, -1, -1) - 1/700 DATA(1, -1, -1) + + + 1/175 DATA(2, -2, 2) - 1/175 DATA(-2, 2, -1) + 1/175 DATA(2, 2, 2) + + - 1/175 DATA(-2, -2, 0) - 1/350 DATA(-1, -2, 0) + 1/350 DATA(-2, -1, 2) + + - 1/175 DATA(-2, 2, 0) + 1/175 DATA(-2, 0, 2) + 1/350 DATA(-2, 1, 2) + + - 1/175 DATA(-2, -2, -2) - 1/175 DATA(-2, 2, 2) + 1/350 DATA(1, -2, -2) + + - 1/350 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DATA(-1, -1, 1) + 1/700 DATA(0, -1, 1) + 1/1400 DATA(1, -1, 1) + + - 1/1400 DATA(-1, 1, 1) + 1/1400 DATA(-1, 1, -1) + 1/700 DATA(0, 1, -1) + + + 1/1400 DATA(1, 1, -1) - 1/1400 DATA(-1, -1, -1) - 1/700 DATA(0, -1, -1) + + - 1/1400 DATA(1, -1, -1) - 1/175 DATA(2, -2, 2) - 1/350 DATA(-2, 2, -1) + + + 1/175 DATA(2, 2, 2) - 1/350 DATA(-2, -1, 2) + 1/350 DATA(-2, 1, 2) + + + 1/175 DATA(-2, -2, -2) + 1/175 DATA(-2, 2, 2) - 1/350 DATA(1, -2, -2) + + - 1/175 DATA(0, -2, -2) - 1/350 DATA(-1, -2, -2) + 1/350 DATA(-2, -1, -2) + + + 1/175 DATA(2, -2, -2) - 1/700 DATA(1, -1, -2) - 1/350 DATA(0, -1, -2) + + 2 + - 1/700 DATA(-1, -1, -2) + 1/350 DATA(2, -1, -2)) x y z + + 292 47 47 + + ---- DATA(0, 2, 0) + ---- DATA(-1, 2, 0) + ---- DATA(2, 1, 0) + 6125 6125 6125 + + 173 202 + - ---- DATA(1, 1, -2) - 2/125 DATA(-1, 2, -2) + ---- DATA(-2, 2, -2) + 6125 6125 + + 47 47 + + ---- DATA(2, 2, 0) + ---- DATA(0, 2, -2) - 2/125 DATA(-2, 2, 1) + 6125 6125 + + 173 47 292 + - ---- DATA(2, -1, 1) + ---- DATA(2, 0, -2) + ---- DATA(-2, 0, 0) + 6125 6125 6125 + + 47 173 + + ---- DATA(2, 0, 1) - 2/125 DATA(1, 2, -2) - ---- DATA(-1, -2, -1) + 6125 6125 + + 173 202 + - ---- DATA(-1, 2, 1) - 2/125 DATA(-2, -2, -1) + ---- DATA(2, 2, -2) + 6125 6125 + + 173 173 47 + - ---- DATA(2, 1, 1) - ---- DATA(1, 2, 1) + ---- DATA(0, 2, 1) + 6125 6125 6125 + + 47 173 + + ---- DATA(0, -2, -1) - ---- DATA(-1, -1, 2) - 2/125 DATA(2, 2, 1) + 6125 6125 + + 47 202 173 + + ---- DATA(-2, 1, 0) + ---- DATA(-2, -2, 2) - ---- DATA(1, -2, -1) + 6125 6125 6125 + + 173 47 292 + - ---- DATA(1, -1, 2) + ---- DATA(2, 0, 2) + ---- DATA(0, 0, 2) + 6125 6125 6125 + + 47 173 + + ---- DATA(-1, 0, 2) - ---- DATA(-2, -1, -1) - 2/125 DATA(2, -2, -1) + 6125 6125 + + 47 173 + - 2/125 DATA(2, -1, 2) + ---- DATA(0, -2, 2) - ---- DATA(1, 1, 2) + 6125 6125 + + 47 173 + + ---- DATA(0, 1, 2) - ---- DATA(-1, 1, 2) - 2/125 DATA(-1, -2, 2) + 6125 6125 + + 47 + - 2/125 DATA(1, -2, 2) + ---- DATA(-2, 0, -1) - 2/125 DATA(-1, 2, 2) + 6125 + + 173 + - 2/125 DATA(2, 1, 2) - 2/125 DATA(1, 2, 2) - ---- DATA(-2, 1, -1) + 6125 + + 592 272 592 + + ---- DATA(0, -1, 0) + ---- DATA(1, -1, 0) + ---- DATA(-1, 0, 0) + 6125 6125 6125 + + 272 23 272 + + ---- DATA(-1, 1, 0) - ---- DATA(-1, -1, 1) + ---- DATA(0, -1, 1) + 6125 6125 6125 + + 23 272 23 + - ---- DATA(1, -1, 1) + ---- DATA(-1, 0, 1) - ---- DATA(-1, 1, 1) + 6125 6125 6125 + + 592 272 23 + + ---- DATA(0, 0, -1) + ---- DATA(1, 0, -1) - ---- DATA(-1, 1, -1) + 6125 6125 6125 + + 272 23 272 + + ---- DATA(0, 1, -1) - ---- DATA(1, 1, -1) + ---- DATA(-1, -1, 0) + 6125 6125 6125 + + 23 272 23 + - ---- DATA(-1, -1, -1) + ---- DATA(0, -1, -1) - ---- DATA(1, -1, -1) + 6125 6125 6125 + + 202 202 / + + ---- DATA(2, -2, 2) - 2/125 DATA(-2, 2, -1) + ---- DATA(2, 2, 2) + | + 6125 6125 \ + + 128 211 + - 1/20 DATA(0, -2, 0) + ---- DATA(-2, -2, 1) + ---- DATA(1, -2, 1) + 3675 7350 + + + 2/75 DATA(0, -2, 1) - 9/196 DATA(1, -2, 0) + 2/75 DATA(0, 2, -1) + + 211 311 + + 2/75 DATA(2, 0, -1) + ---- DATA(-1, -2, 1) + ----- DATA(0, -1, 2) + 7350 29400 + + 211 33 128 + + ---- DATA(-2, -1, 1) - --- DATA(2, -2, 0) + ---- DATA(2, -2, 1) + 7350 980 3675 + + + 2/75 DATA(-2, 0, 1) - 9/196 DATA(-2, -1, 0) - 1/600 DATA(0, 2, 2) + + 311 151 211 + + ----- DATA(1, 0, 2) + ---- DATA(-1, 0, -1) + ---- DATA(2, -1, -1) + 29400 7350 7350 + + 13 61 61 + - --- DATA(0, 0, 0) - --- DATA(1, 0, 0) - --- DATA(0, 1, 0) + 196 980 980 + + 57 68 151 + - --- DATA(1, 1, 0) + ---- DATA(0, 0, 1) + ---- DATA(1, 0, 1) + 980 3675 7350 + + 151 83 128 + + ---- DATA(0, 1, 1) + ---- DATA(1, 1, 1) + ---- DATA(2, 2, -1) + 7350 3675 3675 + + 211 169 211 + + ---- DATA(1, 2, -1) - ----- DATA(-2, 1, -2) + ---- DATA(-1, 2, -1) + 7350 29400 7350 + + 211 311 + + ---- DATA(2, 1, -1) - 1/20 DATA(2, 0, 0) + ----- DATA(0, 1, -2) + 7350 29400 + + 211 191 + + ---- DATA(-2, 1, 1) - 9/196 DATA(2, -1, 0) + ----- DATA(-1, 1, -2) + 7350 29400 + + 169 + - 9/196 DATA(1, 2, 0) - ----- DATA(2, 1, -2) - 1/20 DATA(0, 2, 0) + 29400 + + 191 + - 9/196 DATA(-1, 2, 0) - 9/196 DATA(2, 1, 0) + ----- DATA(1, 1, -2) + 29400 + + 169 529 33 + - ----- DATA(-1, 2, -2) - ----- DATA(-2, 2, -2) - --- DATA(2, 2, 0) + 29400 29400 980 + + 128 211 + - 1/600 DATA(0, 2, -2) + ---- DATA(-2, 2, 1) + ---- DATA(2, -1, 1) + 3675 7350 + + - 1/600 DATA(2, 0, -2) - 1/20 DATA(-2, 0, 0) + 2/75 DATA(2, 0, 1) + + 169 211 211 + - ----- DATA(1, 2, -2) + ---- DATA(-1, -2, -1) + ---- DATA(-1, 2, 1) + 29400 7350 7350 + + 128 529 211 + + ---- DATA(-2, -2, -1) - ----- DATA(2, 2, -2) + ---- DATA(2, 1, 1) + 3675 29400 7350 + + 211 + + ---- DATA(1, 2, 1) + 2/75 DATA(0, 2, 1) + 2/75 DATA(0, -2, -1) + 7350 + + 191 128 + + ----- DATA(-1, -1, 2) + ---- DATA(2, 2, 1) - 9/196 DATA(-2, 1, 0) + 29400 3675 + + 529 211 191 + - ----- DATA(-2, -2, 2) + ---- DATA(1, -2, -1) + ----- DATA(1, -1, 2) + 29400 7350 29400 + + 431 311 + - 1/600 DATA(2, 0, 2) + ----- DATA(0, 0, 2) + ----- DATA(-1, 0, 2) + 29400 29400 + + 211 128 169 + + ---- DATA(-2, -1, -1) + ---- DATA(2, -2, -1) - ----- DATA(2, -1, 2) + 7350 3675 29400 + + 191 311 + - 1/600 DATA(0, -2, 2) + ----- DATA(1, 1, 2) + ----- DATA(0, 1, 2) + 29400 29400 + + 191 169 169 + + ----- DATA(-1, 1, 2) - ----- DATA(-1, -2, 2) - ----- DATA(1, -2, 2) + 29400 29400 29400 + + 169 169 + + 2/75 DATA(-2, 0, -1) - ----- DATA(-1, 2, 2) - ----- DATA(2, 1, 2) + 29400 29400 + + 169 211 61 + - ----- DATA(1, 2, 2) + ---- DATA(-2, 1, -1) - --- DATA(0, -1, 0) + 29400 7350 980 + + 57 61 57 + - --- DATA(1, -1, 0) - --- DATA(-1, 0, 0) - --- DATA(-1, 1, 0) + 980 980 980 + + 83 151 83 + + ---- DATA(-1, -1, 1) + ---- DATA(0, -1, 1) + ---- DATA(1, -1, 1) + 3675 7350 3675 + + 151 83 68 + + ---- DATA(-1, 0, 1) + ---- DATA(-1, 1, 1) + ---- DATA(0, 0, -1) + 7350 3675 3675 + + 151 83 151 + + ---- DATA(1, 0, -1) + ---- DATA(-1, 1, -1) + ---- DATA(0, 1, -1) + 7350 3675 7350 + + 83 57 83 + + ---- DATA(1, 1, -1) - --- DATA(-1, -1, 0) + ---- DATA(-1, -1, -1) + 3675 980 3675 + + 151 83 529 + + ---- DATA(0, -1, -1) + ---- DATA(1, -1, -1) - ----- DATA(2, -2, 2) + 7350 3675 29400 + + 128 529 33 + + ---- DATA(-2, 2, -1) - ----- DATA(2, 2, 2) - --- DATA(-2, -2, 0) + 3675 29400 980 + + 169 33 + - 9/196 DATA(-1, -2, 0) - ----- DATA(-2, -1, 2) - --- DATA(-2, 2, 0) + 29400 980 + + 169 529 + - 1/600 DATA(-2, 0, 2) - ----- DATA(-2, 1, 2) - ----- DATA(-2, -2, -2) + 29400 29400 + + 529 169 + - ----- DATA(-2, 2, 2) - ----- DATA(1, -2, -2) - 1/600 DATA(0, -2, -2) + 29400 29400 + + 169 169 529 + - ----- DATA(-1, -2, -2) - ----- DATA(-2, -1, -2) - ----- DATA(2, -2, -2) + 29400 29400 29400 + + 191 311 191 + + ----- DATA(1, -1, -2) + ----- DATA(0, -1, -2) + ----- DATA(-1, -1, -2) + 29400 29400 29400 + + 169 431 + - 1/600 DATA(-2, 0, -2) - ----- DATA(2, -1, -2) + ----- DATA(0, 0, -2) + 29400 29400 + + 311 311 \ 2 + + ----- DATA(-1, 0, -2) + ----- DATA(1, 0, -2)| z + ( + 29400 29400 / + + - 1/300 DATA(0, -2, 0) - 1/300 DATA(-2, -2, 1) - 1/300 DATA(1, -2, 1) + + - 1/300 DATA(0, -2, 1) - 1/300 DATA(1, -2, 0) + 1/300 DATA(0, 2, -1) + + - 1/300 DATA(-1, -2, 1) + 1/150 DATA(0, -1, 2) + 1/150 DATA(-2, -1, 1) + + - 1/300 DATA(2, -2, 0) - 1/300 DATA(2, -2, 1) + 1/150 DATA(-2, -1, 0) + + + 1/300 DATA(0, 2, 2) + 1/150 DATA(2, -1, -1) - 1/150 DATA(0, 1, 0) + + - 1/150 DATA(1, 1, 0) - 1/150 DATA(0, 1, 1) - 1/150 DATA(1, 1, 1) + + + 1/300 DATA(2, 2, -1) + 1/300 DATA(1, 2, -1) - 1/150 DATA(-2, 1, -2) + + + 1/300 DATA(-1, 2, -1) - 1/150 DATA(2, 1, -1) - 1/150 DATA(0, 1, -2) + + - 1/150 DATA(-2, 1, 1) + 1/150 DATA(2, -1, 0) - 1/150 DATA(-1, 1, -2) + + + 1/300 DATA(1, 2, 0) - 1/150 DATA(2, 1, -2) + 1/300 DATA(0, 2, 0) + + + 1/300 DATA(-1, 2, 0) - 1/150 DATA(2, 1, 0) - 1/150 DATA(1, 1, -2) + + + 1/300 DATA(-1, 2, -2) + 1/300 DATA(-2, 2, -2) + 1/300 DATA(2, 2, 0) + + + 1/300 DATA(0, 2, -2) + 1/300 DATA(-2, 2, 1) + 1/150 DATA(2, -1, 1) + + + 1/300 DATA(1, 2, -2) - 1/300 DATA(-1, -2, -1) + 1/300 DATA(-1, 2, 1) + + - 1/300 DATA(-2, -2, -1) + 1/300 DATA(2, 2, -2) - 1/150 DATA(2, 1, 1) + + + 1/300 DATA(1, 2, 1) + 1/300 DATA(0, 2, 1) - 1/300 DATA(0, -2, -1) + + + 1/150 DATA(-1, -1, 2) + 1/300 DATA(2, 2, 1) - 1/150 DATA(-2, 1, 0) + + - 1/300 DATA(-2, -2, 2) - 1/300 DATA(1, -2, -1) + 1/150 DATA(1, -1, 2) + + + 1/150 DATA(-2, -1, -1) - 1/300 DATA(2, -2, -1) + 1/150 DATA(2, -1, 2) + + - 1/300 DATA(0, -2, 2) - 1/150 DATA(1, 1, 2) - 1/150 DATA(0, 1, 2) + + - 1/150 DATA(-1, 1, 2) - 1/300 DATA(-1, -2, 2) - 1/300 DATA(1, -2, 2) + + + 1/300 DATA(-1, 2, 2) - 1/150 DATA(2, 1, 2) + 1/300 DATA(1, 2, 2) + + - 1/150 DATA(-2, 1, -1) + 1/150 DATA(0, -1, 0) + 1/150 DATA(1, -1, 0) + + - 1/150 DATA(-1, 1, 0) + 1/150 DATA(-1, -1, 1) + 1/150 DATA(0, -1, 1) + + + 1/150 DATA(1, -1, 1) - 1/150 DATA(-1, 1, 1) - 1/150 DATA(-1, 1, -1) + + - 1/150 DATA(0, 1, -1) - 1/150 DATA(1, 1, -1) + 1/150 DATA(-1, -1, 0) + + + 1/150 DATA(-1, -1, -1) + 1/150 DATA(0, -1, -1) + 1/150 DATA(1, -1, -1) + + - 1/300 DATA(2, -2, 2) + 1/300 DATA(-2, 2, -1) + 1/300 DATA(2, 2, 2) + + - 1/300 DATA(-2, -2, 0) - 1/300 DATA(-1, -2, 0) + 1/150 DATA(-2, -1, 2) + + + 1/300 DATA(-2, 2, 0) - 1/150 DATA(-2, 1, 2) - 1/300 DATA(-2, -2, -2) + + + 1/300 DATA(-2, 2, 2) - 1/300 DATA(1, -2, -2) - 1/300 DATA(0, -2, -2) + + - 1/300 DATA(-1, -2, -2) + 1/150 DATA(-2, -1, -2) - 1/300 DATA(2, -2, -2) + + + 1/150 DATA(1, -1, -2) + 1/150 DATA(0, -1, -2) + 1/150 DATA(-1, -1, -2) + + 3 + + 1/150 DATA(2, -1, -2)) y + (- 1/300 DATA(-2, -2, 1) + + - 1/150 DATA(1, -2, 1) - 1/150 DATA(1, -2, 0) + 1/300 DATA(2, 0, -1) + + + 1/150 DATA(-1, -2, 1) - 1/300 DATA(-2, -1, 1) + 1/300 DATA(2, -2, 0) + + + 1/300 DATA(2, -2, 1) - 1/300 DATA(-2, 0, 1) - 1/300 DATA(-2, -1, 0) + + - 1/150 DATA(1, 0, 2) + 1/150 DATA(-1, 0, -1) + 1/300 DATA(2, -1, -1) + + - 1/150 DATA(1, 0, 0) - 1/150 DATA(1, 1, 0) - 1/150 DATA(1, 0, 1) + + - 1/150 DATA(1, 1, 1) + 1/300 DATA(2, 2, -1) - 1/150 DATA(1, 2, -1) + + - 1/300 DATA(-2, 1, -2) + 1/150 DATA(-1, 2, -1) + 1/300 DATA(2, 1, -1) + + + 1/300 DATA(2, 0, 0) - 1/300 DATA(-2, 1, 1) + 1/300 DATA(2, -1, 0) + + + 1/150 DATA(-1, 1, -2) - 1/150 DATA(1, 2, 0) + 1/300 DATA(2, 1, -2) + + + 1/150 DATA(-1, 2, 0) + 1/300 DATA(2, 1, 0) - 1/150 DATA(1, 1, -2) + + + 1/150 DATA(-1, 2, -2) - 1/300 DATA(-2, 2, -2) + 1/300 DATA(2, 2, 0) + + - 1/300 DATA(-2, 2, 1) + 1/300 DATA(2, -1, 1) + 1/300 DATA(2, 0, -2) + + - 1/300 DATA(-2, 0, 0) + 1/300 DATA(2, 0, 1) - 1/150 DATA(1, 2, -2) + + + 1/150 DATA(-1, -2, -1) + 1/150 DATA(-1, 2, 1) - 1/300 DATA(-2, -2, -1) + + + 1/300 DATA(2, 2, -2) + 1/300 DATA(2, 1, 1) - 1/150 DATA(1, 2, 1) + + + 1/150 DATA(-1, -1, 2) + 1/300 DATA(2, 2, 1) - 1/300 DATA(-2, 1, 0) + + - 1/300 DATA(-2, -2, 2) - 1/150 DATA(1, -2, -1) - 1/150 DATA(1, -1, 2) + + + 1/300 DATA(2, 0, 2) + 1/150 DATA(-1, 0, 2) - 1/300 DATA(-2, -1, -1) + + + 1/300 DATA(2, -2, -1) + 1/300 DATA(2, -1, 2) - 1/150 DATA(1, 1, 2) + + + 1/150 DATA(-1, 1, 2) + 1/150 DATA(-1, -2, 2) - 1/150 DATA(1, -2, 2) + + - 1/300 DATA(-2, 0, -1) + 1/150 DATA(-1, 2, 2) + 1/300 DATA(2, 1, 2) + + - 1/150 DATA(1, 2, 2) - 1/300 DATA(-2, 1, -1) - 1/150 DATA(1, -1, 0) + + + 1/150 DATA(-1, 0, 0) + 1/150 DATA(-1, 1, 0) + 1/150 DATA(-1, -1, 1) + + - 1/150 DATA(1, -1, 1) + 1/150 DATA(-1, 0, 1) + 1/150 DATA(-1, 1, 1) + + - 1/150 DATA(1, 0, -1) + 1/150 DATA(-1, 1, -1) - 1/150 DATA(1, 1, -1) + + + 1/150 DATA(-1, -1, 0) + 1/150 DATA(-1, -1, -1) - 1/150 DATA(1, -1, -1) + + + 1/300 DATA(2, -2, 2) - 1/300 DATA(-2, 2, -1) + 1/300 DATA(2, 2, 2) + + - 1/300 DATA(-2, -2, 0) + 1/150 DATA(-1, -2, 0) - 1/300 DATA(-2, -1, 2) + + - 1/300 DATA(-2, 2, 0) - 1/300 DATA(-2, 0, 2) - 1/300 DATA(-2, 1, 2) + + - 1/300 DATA(-2, -2, -2) - 1/300 DATA(-2, 2, 2) - 1/150 DATA(1, -2, -2) + + + 1/150 DATA(-1, -2, -2) - 1/300 DATA(-2, -1, -2) + 1/300 DATA(2, -2, -2) + + - 1/150 DATA(1, -1, -2) + 1/150 DATA(-1, -1, -2) - 1/300 DATA(-2, 0, -2) + + 3 + + 1/300 DATA(2, -1, -2) + 1/150 DATA(-1, 0, -2) - 1/150 DATA(1, 0, -2)) x + + + (- 1/150 DATA(-2, -2, 1) - 1/150 DATA(1, -2, 1) - 1/150 DATA(0, -2, 1) + + + 1/150 DATA(0, 2, -1) + 1/150 DATA(2, 0, -1) - 1/150 DATA(-1, -2, 1) + + + 1/300 DATA(0, -1, 2) - 1/150 DATA(-2, -1, 1) - 1/150 DATA(2, -2, 1) + + - 1/150 DATA(-2, 0, 1) + 1/300 DATA(0, 2, 2) + 1/300 DATA(1, 0, 2) + + + 1/150 DATA(-1, 0, -1) + 1/150 DATA(2, -1, -1) - 1/150 DATA(0, 0, 1) + + - 1/150 DATA(1, 0, 1) - 1/150 DATA(0, 1, 1) - 1/150 DATA(1, 1, 1) + + + 1/150 DATA(2, 2, -1) + 1/150 DATA(1, 2, -1) - 1/300 DATA(-2, 1, -2) + + + 1/150 DATA(-1, 2, -1) + 1/150 DATA(2, 1, -1) - 1/300 DATA(0, 1, -2) + + - 1/150 DATA(-2, 1, 1) - 1/300 DATA(-1, 1, -2) - 1/300 DATA(2, 1, -2) + + - 1/300 DATA(1, 1, -2) - 1/300 DATA(-1, 2, -2) - 1/300 DATA(-2, 2, -2) + + - 1/300 DATA(0, 2, -2) - 1/150 DATA(-2, 2, 1) - 1/150 DATA(2, -1, 1) + + - 1/300 DATA(2, 0, -2) - 1/150 DATA(2, 0, 1) - 1/300 DATA(1, 2, -2) + + + 1/150 DATA(-1, -2, -1) - 1/150 DATA(-1, 2, 1) + 1/150 DATA(-2, -2, -1) + + - 1/300 DATA(2, 2, -2) - 1/150 DATA(2, 1, 1) - 1/150 DATA(1, 2, 1) + + - 1/150 DATA(0, 2, 1) + 1/150 DATA(0, -2, -1) + 1/300 DATA(-1, -1, 2) + + - 1/150 DATA(2, 2, 1) + 1/300 DATA(-2, -2, 2) + 1/150 DATA(1, -2, -1) + + + 1/300 DATA(1, -1, 2) + 1/300 DATA(2, 0, 2) + 1/300 DATA(0, 0, 2) + + + 1/300 DATA(-1, 0, 2) + 1/150 DATA(-2, -1, -1) + 1/150 DATA(2, -2, -1) + + + 1/300 DATA(2, -1, 2) + 1/300 DATA(0, -2, 2) + 1/300 DATA(1, 1, 2) + + + 1/300 DATA(0, 1, 2) + 1/300 DATA(-1, 1, 2) + 1/300 DATA(-1, -2, 2) + + + 1/300 DATA(1, -2, 2) + 1/150 DATA(-2, 0, -1) + 1/300 DATA(-1, 2, 2) + + + 1/300 DATA(2, 1, 2) + 1/300 DATA(1, 2, 2) + 1/150 DATA(-2, 1, -1) + + - 1/150 DATA(-1, -1, 1) - 1/150 DATA(0, -1, 1) - 1/150 DATA(1, -1, 1) + + - 1/150 DATA(-1, 0, 1) - 1/150 DATA(-1, 1, 1) + 1/150 DATA(0, 0, -1) + + + 1/150 DATA(1, 0, -1) + 1/150 DATA(-1, 1, -1) + 1/150 DATA(0, 1, -1) + + + 1/150 DATA(1, 1, -1) + 1/150 DATA(-1, -1, -1) + 1/150 DATA(0, -1, -1) + + + 1/150 DATA(1, -1, -1) + 1/300 DATA(2, -2, 2) + 1/150 DATA(-2, 2, -1) + + + 1/300 DATA(2, 2, 2) + 1/300 DATA(-2, -1, 2) + 1/300 DATA(-2, 0, 2) + + + 1/300 DATA(-2, 1, 2) - 1/300 DATA(-2, -2, -2) + 1/300 DATA(-2, 2, 2) + + - 1/300 DATA(1, -2, -2) - 1/300 DATA(0, -2, -2) - 1/300 DATA(-1, -2, -2) + + - 1/300 DATA(-2, -1, -2) - 1/300 DATA(2, -2, -2) - 1/300 DATA(1, -1, -2) + + - 1/300 DATA(0, -1, -2) - 1/300 DATA(-1, -1, -2) - 1/300 DATA(-2, 0, -2) + + - 1/300 DATA(2, -1, -2) - 1/300 DATA(0, 0, -2) - 1/300 DATA(-1, 0, -2) + + 3 / 41 19 + - 1/300 DATA(1, 0, -2)) z + |- ---- DATA(0, -2, 0) + ---- DATA(-2, -2, 1) + \ 2100 2100 + + 17 29 29 + - ---- DATA(1, -2, 1) - ---- DATA(0, -2, 1) - ---- DATA(1, -2, 0) + 2100 2100 2100 + + 29 17 + + ---- DATA(0, 2, -1) - ---- DATA(-1, -2, 1) - 2/75 DATA(0, -1, 2) + 2100 2100 + + 19 + - 1/42 DATA(-2, -1, 1) + 1/300 DATA(2, -2, 0) + ---- DATA(2, -2, 1) + 2100 + + - 2/75 DATA(-2, -1, 0) - 1/300 DATA(0, 2, 2) - 1/42 DATA(2, -1, -1) + + 37 37 + + 4/105 DATA(0, 1, 0) + ---- DATA(1, 1, 0) + ---- DATA(0, 1, 1) + 1050 1050 + + 17 19 17 + + --- DATA(1, 1, 1) - ---- DATA(2, 2, -1) + ---- DATA(1, 2, -1) + 525 2100 2100 + + 17 + + 8/525 DATA(-2, 1, -2) + ---- DATA(-1, 2, -1) + 1/42 DATA(2, 1, -1) + 2100 + + + 2/75 DATA(0, 1, -2) + 1/42 DATA(-2, 1, 1) - 2/75 DATA(2, -1, 0) + + 29 + + 1/42 DATA(-1, 1, -2) + ---- DATA(1, 2, 0) + 8/525 DATA(2, 1, -2) + 2100 + + 41 29 + + ---- DATA(0, 2, 0) + ---- DATA(-1, 2, 0) + 2/75 DATA(2, 1, 0) + 2100 2100 + + 19 11 + + 1/42 DATA(1, 1, -2) - ---- DATA(-1, 2, -2) - --- DATA(-2, 2, -2) + 2100 420 + + 19 + - 1/300 DATA(2, 2, 0) - 1/300 DATA(0, 2, -2) - ---- DATA(-2, 2, 1) + 2100 + + 19 17 + - 1/42 DATA(2, -1, 1) - ---- DATA(1, 2, -2) - ---- DATA(-1, -2, -1) + 2100 2100 + + 17 19 11 + + ---- DATA(-1, 2, 1) + ---- DATA(-2, -2, -1) - --- DATA(2, 2, -2) + 2100 2100 420 + + 17 29 + + 1/42 DATA(2, 1, 1) + ---- DATA(1, 2, 1) + ---- DATA(0, 2, 1) + 2100 2100 + + 29 19 + - ---- DATA(0, -2, -1) - 1/42 DATA(-1, -1, 2) - ---- DATA(2, 2, 1) + 2100 2100 + + 11 17 + + 2/75 DATA(-2, 1, 0) + --- DATA(-2, -2, 2) - ---- DATA(1, -2, -1) + 420 2100 + + 19 + - 1/42 DATA(1, -1, 2) - 1/42 DATA(-2, -1, -1) + ---- DATA(2, -2, -1) + 2100 + + - 8/525 DATA(2, -1, 2) + 1/300 DATA(0, -2, 2) + 1/42 DATA(1, 1, 2) + + 19 + + 2/75 DATA(0, 1, 2) + 1/42 DATA(-1, 1, 2) + ---- DATA(-1, -2, 2) + 2100 + + 19 19 + + ---- DATA(1, -2, 2) - ---- DATA(-1, 2, 2) + 8/525 DATA(2, 1, 2) + 2100 2100 + + 19 + - ---- DATA(1, 2, 2) + 1/42 DATA(-2, 1, -1) - 4/105 DATA(0, -1, 0) + 2100 + + 37 37 17 + - ---- DATA(1, -1, 0) + ---- DATA(-1, 1, 0) - --- DATA(-1, -1, 1) + 1050 1050 525 + + 37 17 17 + - ---- DATA(0, -1, 1) - --- DATA(1, -1, 1) + --- DATA(-1, 1, 1) + 1050 525 525 + + 17 37 17 + + --- DATA(-1, 1, -1) + ---- DATA(0, 1, -1) + --- DATA(1, 1, -1) + 525 1050 525 + + 37 17 37 + - ---- DATA(-1, -1, 0) - --- DATA(-1, -1, -1) - ---- DATA(0, -1, -1) + 1050 525 1050 + + 17 11 19 + - --- DATA(1, -1, -1) + --- DATA(2, -2, 2) - ---- DATA(-2, 2, -1) + 525 420 2100 + + 11 29 + - --- DATA(2, 2, 2) + 1/300 DATA(-2, -2, 0) - ---- DATA(-1, -2, 0) + 420 2100 + + - 8/525 DATA(-2, -1, 2) - 1/300 DATA(-2, 2, 0) + 8/525 DATA(-2, 1, 2) + + 11 11 19 + + --- DATA(-2, -2, -2) - --- DATA(-2, 2, 2) + ---- DATA(1, -2, -2) + 420 420 2100 + + 19 + + 1/300 DATA(0, -2, -2) + ---- DATA(-1, -2, -2) - 8/525 DATA(-2, -1, -2) + 2100 + + 11 + + --- DATA(2, -2, -2) - 1/42 DATA(1, -1, -2) - 2/75 DATA(0, -1, -2) + 420 + + \ / 19 + - 1/42 DATA(-1, -1, -2) - 8/525 DATA(2, -1, -2)| y + |---- DATA(-2, -2, 1) + / \2100 + + 29 + + 1/42 DATA(1, -2, 1) + 2/75 DATA(1, -2, 0) + ---- DATA(2, 0, -1) + 2100 + + 17 + - 1/42 DATA(-1, -2, 1) - ---- DATA(-2, -1, 1) - 1/300 DATA(2, -2, 0) + 2100 + + 19 29 29 + - ---- DATA(2, -2, 1) - ---- DATA(-2, 0, 1) - ---- DATA(-2, -1, 0) + 2100 2100 2100 + + 37 17 + + 2/75 DATA(1, 0, 2) - ---- DATA(-1, 0, -1) + ---- DATA(2, -1, -1) + 1050 2100 + + 37 37 + + 4/105 DATA(1, 0, 0) + ---- DATA(1, 1, 0) + ---- DATA(1, 0, 1) + 1050 1050 + + 17 19 + + --- DATA(1, 1, 1) - ---- DATA(2, 2, -1) + 1/42 DATA(1, 2, -1) + 525 2100 + + 19 17 + + ---- DATA(-2, 1, -2) - 1/42 DATA(-1, 2, -1) + ---- DATA(2, 1, -1) + 2100 2100 + + 41 17 29 + + ---- DATA(2, 0, 0) - ---- DATA(-2, 1, 1) + ---- DATA(2, -1, 0) + 2100 2100 2100 + + 19 + - 1/42 DATA(-1, 1, -2) + 2/75 DATA(1, 2, 0) - ---- DATA(2, 1, -2) + 2100 + + 29 + - 2/75 DATA(-1, 2, 0) + ---- DATA(2, 1, 0) + 1/42 DATA(1, 1, -2) + 2100 + + 11 + - 8/525 DATA(-1, 2, -2) + --- DATA(-2, 2, -2) - 1/300 DATA(2, 2, 0) + 420 + + 19 17 + + ---- DATA(-2, 2, 1) + ---- DATA(2, -1, 1) - 1/300 DATA(2, 0, -2) + 2100 2100 + + 41 29 + - ---- DATA(-2, 0, 0) + ---- DATA(2, 0, 1) + 8/525 DATA(1, 2, -2) + 2100 2100 + + 19 + - 1/42 DATA(-1, -2, -1) - 1/42 DATA(-1, 2, 1) + ---- DATA(-2, -2, -1) + 2100 + + 11 17 + - --- DATA(2, 2, -2) + ---- DATA(2, 1, 1) + 1/42 DATA(1, 2, 1) + 420 2100 + + 19 29 + - 1/42 DATA(-1, -1, 2) - ---- DATA(2, 2, 1) - ---- DATA(-2, 1, 0) + 2100 2100 + + 11 + + --- DATA(-2, -2, 2) + 1/42 DATA(1, -2, -1) + 1/42 DATA(1, -1, 2) + 420 + + 17 + - 1/300 DATA(2, 0, 2) - 2/75 DATA(-1, 0, 2) - ---- DATA(-2, -1, -1) + 2100 + + 19 19 + - ---- DATA(2, -2, -1) - ---- DATA(2, -1, 2) + 1/42 DATA(1, 1, 2) + 2100 2100 + + - 1/42 DATA(-1, 1, 2) - 8/525 DATA(-1, -2, 2) + 8/525 DATA(1, -2, 2) + + 29 19 + - ---- DATA(-2, 0, -1) - 8/525 DATA(-1, 2, 2) - ---- DATA(2, 1, 2) + 2100 2100 + + 17 37 + + 8/525 DATA(1, 2, 2) - ---- DATA(-2, 1, -1) + ---- DATA(1, -1, 0) + 2100 1050 + + 37 17 + - 4/105 DATA(-1, 0, 0) - ---- DATA(-1, 1, 0) - --- DATA(-1, -1, 1) + 1050 525 + + 17 37 17 + + --- DATA(1, -1, 1) - ---- DATA(-1, 0, 1) - --- DATA(-1, 1, 1) + 525 1050 525 + + 37 17 17 + + ---- DATA(1, 0, -1) - --- DATA(-1, 1, -1) + --- DATA(1, 1, -1) + 1050 525 525 + + 37 17 17 + - ---- DATA(-1, -1, 0) - --- DATA(-1, -1, -1) + --- DATA(1, -1, -1) + 1050 525 525 + + 11 19 11 + - --- DATA(2, -2, 2) + ---- DATA(-2, 2, -1) - --- DATA(2, 2, 2) + 420 2100 420 + + 19 + + 1/300 DATA(-2, -2, 0) - 2/75 DATA(-1, -2, 0) + ---- DATA(-2, -1, 2) + 2100 + + 19 + + 1/300 DATA(-2, 2, 0) + 1/300 DATA(-2, 0, 2) + ---- DATA(-2, 1, 2) + 2100 + + 11 11 + + --- DATA(-2, -2, -2) + --- DATA(-2, 2, 2) + 8/525 DATA(1, -2, -2) + 420 420 + + 19 11 + - 8/525 DATA(-1, -2, -2) + ---- DATA(-2, -1, -2) - --- DATA(2, -2, -2) + 2100 420 + + + 1/42 DATA(1, -1, -2) - 1/42 DATA(-1, -1, -2) + 1/300 DATA(-2, 0, -2) + + 19 \ / + - ---- DATA(2, -1, -2) - 2/75 DATA(-1, 0, -2) + 2/75 DATA(1, 0, -2)| x + | + 2100 / \ + + 8/525 DATA(-2, -2, 1) + 1/42 DATA(1, -2, 1) + 2/75 DATA(0, -2, 1) + + - 2/75 DATA(0, 2, -1) - 2/75 DATA(2, 0, -1) + 1/42 DATA(-1, -2, 1) + + 29 + + ---- DATA(0, -1, 2) + 1/42 DATA(-2, -1, 1) + 8/525 DATA(2, -2, 1) + 2100 + + 29 + + 2/75 DATA(-2, 0, 1) - 1/300 DATA(0, 2, 2) + ---- DATA(1, 0, 2) + 2100 + + 37 + - ---- DATA(-1, 0, -1) - 1/42 DATA(2, -1, -1) + 4/105 DATA(0, 0, 1) + 1050 + + 37 37 17 + + ---- DATA(1, 0, 1) + ---- DATA(0, 1, 1) + --- DATA(1, 1, 1) + 1050 1050 525 + + 19 + - 8/525 DATA(2, 2, -1) - 1/42 DATA(1, 2, -1) + ---- DATA(-2, 1, -2) + 2100 + + 29 + - 1/42 DATA(-1, 2, -1) - 1/42 DATA(2, 1, -1) - ---- DATA(0, 1, -2) + 2100 + + 17 19 + + 1/42 DATA(-2, 1, 1) - ---- DATA(-1, 1, -2) + ---- DATA(2, 1, -2) + 2100 2100 + + 17 19 11 + - ---- DATA(1, 1, -2) + ---- DATA(-1, 2, -2) + --- DATA(-2, 2, -2) + 2100 2100 420 + + + 1/300 DATA(0, 2, -2) + 8/525 DATA(-2, 2, 1) + 1/42 DATA(2, -1, 1) + + 19 + + 1/300 DATA(2, 0, -2) + 2/75 DATA(2, 0, 1) + ---- DATA(1, 2, -2) + 2100 + + - 1/42 DATA(-1, -2, -1) + 1/42 DATA(-1, 2, 1) - 8/525 DATA(-2, -2, -1) + + 11 + + --- DATA(2, 2, -2) + 1/42 DATA(2, 1, 1) + 1/42 DATA(1, 2, 1) + 420 + + 17 + + 2/75 DATA(0, 2, 1) - 2/75 DATA(0, -2, -1) + ---- DATA(-1, -1, 2) + 2100 + + 11 + + 8/525 DATA(2, 2, 1) - --- DATA(-2, -2, 2) - 1/42 DATA(1, -2, -1) + 420 + + 17 41 + + ---- DATA(1, -1, 2) - 1/300 DATA(2, 0, 2) + ---- DATA(0, 0, 2) + 2100 2100 + + 29 + + ---- DATA(-1, 0, 2) - 1/42 DATA(-2, -1, -1) - 8/525 DATA(2, -2, -1) + 2100 + + 19 17 + - ---- DATA(2, -1, 2) - 1/300 DATA(0, -2, 2) + ---- DATA(1, 1, 2) + 2100 2100 + + 29 17 19 + + ---- DATA(0, 1, 2) + ---- DATA(-1, 1, 2) - ---- DATA(-1, -2, 2) + 2100 2100 2100 + + 19 19 + - ---- DATA(1, -2, 2) - 2/75 DATA(-2, 0, -1) - ---- DATA(-1, 2, 2) + 2100 2100 + + 19 19 + - ---- DATA(2, 1, 2) - ---- DATA(1, 2, 2) - 1/42 DATA(-2, 1, -1) + 2100 2100 + + 17 37 17 + + --- DATA(-1, -1, 1) + ---- DATA(0, -1, 1) + --- DATA(1, -1, 1) + 525 1050 525 + + 37 17 + + ---- DATA(-1, 0, 1) + --- DATA(-1, 1, 1) - 4/105 DATA(0, 0, -1) + 1050 525 + + 37 17 37 + - ---- DATA(1, 0, -1) - --- DATA(-1, 1, -1) - ---- DATA(0, 1, -1) + 1050 525 1050 + + 17 17 37 + - --- DATA(1, 1, -1) - --- DATA(-1, -1, -1) - ---- DATA(0, -1, -1) + 525 525 1050 + + 17 11 + - --- DATA(1, -1, -1) - --- DATA(2, -2, 2) - 8/525 DATA(-2, 2, -1) + 525 420 + + 11 19 + - --- DATA(2, 2, 2) - ---- DATA(-2, -1, 2) - 1/300 DATA(-2, 0, 2) + 420 2100 + + 19 11 11 + - ---- DATA(-2, 1, 2) + --- DATA(-2, -2, -2) - --- DATA(-2, 2, 2) + 2100 420 420 + + 19 19 + + ---- DATA(1, -2, -2) + 1/300 DATA(0, -2, -2) + ---- DATA(-1, -2, -2) + 2100 2100 + + 19 11 17 + + ---- DATA(-2, -1, -2) + --- DATA(2, -2, -2) - ---- DATA(1, -1, -2) + 2100 420 2100 + + 29 17 + - ---- DATA(0, -1, -2) - ---- DATA(-1, -1, -2) + 1/300 DATA(-2, 0, -2) + 2100 2100 + + 19 41 29 + + ---- DATA(2, -1, -2) - ---- DATA(0, 0, -2) - ---- DATA(-1, 0, -2) + 2100 2100 2100 + + 29 \ 47 47 / + - ---- DATA(1, 0, -2)| z + ---- DATA(-2, -2, 0) + ---- DATA(-1, -2, 0) + | + 2100 / 6125 6125 \ + + 431 169 191 + ----- DATA(0, -2, 0) - ----- DATA(-2, -2, 1) + ----- DATA(1, -2, 1) + 29400 29400 29400 + + 311 311 311 + + ----- DATA(0, -2, 1) + ----- DATA(1, -2, 0) + ----- DATA(0, 2, -1) + 29400 29400 29400 + + 191 + - 9/196 DATA(2, 0, -1) + ----- DATA(-1, -2, 1) + 2/75 DATA(0, -1, 2) + 29400 + + 211 169 + + ---- DATA(-2, -1, 1) - 1/600 DATA(2, -2, 0) - ----- DATA(2, -2, 1) + 7350 29400 + + - 9/196 DATA(-2, 0, 1) + 2/75 DATA(-2, -1, 0) - 1/600 DATA(0, 2, 2) + + 57 211 + - 9/196 DATA(1, 0, 2) - --- DATA(-1, 0, -1) + ---- DATA(2, -1, -1) + 980 7350 + + 13 61 68 + - --- DATA(0, 0, 0) - --- DATA(1, 0, 0) + ---- DATA(0, 1, 0) + 196 980 3675 + + 151 61 57 + + ---- DATA(1, 1, 0) - --- DATA(0, 0, 1) - --- DATA(1, 0, 1) + 7350 980 980 + + 151 83 169 + + ---- DATA(0, 1, 1) + ---- DATA(1, 1, 1) - ----- DATA(2, 2, -1) + 7350 3675 29400 + + 191 128 191 + + ----- DATA(1, 2, -1) + ---- DATA(-2, 1, -2) + ----- DATA(-1, 2, -1) + 29400 3675 29400 + + 211 + + ---- DATA(2, 1, -1) - 1/20 DATA(2, 0, 0) + 2/75 DATA(0, 1, -2) + 7350 + + 211 211 + + ---- DATA(-2, 1, 1) + 2/75 DATA(2, -1, 0) + ---- DATA(-1, 1, -2) + 7350 7350 + + 311 128 431 + + ----- DATA(1, 2, 0) + ---- DATA(2, 1, -2) + ----- DATA(0, 2, 0) + 29400 3675 29400 + + 311 211 + + ----- DATA(-1, 2, 0) + 2/75 DATA(2, 1, 0) + ---- DATA(1, 1, -2) + 29400 7350 + + 169 529 + - ----- DATA(-1, 2, -2) - ----- DATA(-2, 2, -2) - 1/600 DATA(2, 2, 0) + 29400 29400 + + 169 211 + - 1/600 DATA(0, 2, -2) - ----- DATA(-2, 2, 1) + ---- DATA(2, -1, 1) + 29400 7350 + + 33 + - --- DATA(2, 0, -2) - 1/20 DATA(-2, 0, 0) - 9/196 DATA(2, 0, 1) + 980 + + 169 191 191 + - ----- DATA(1, 2, -2) + ----- DATA(-1, -2, -1) + ----- DATA(-1, 2, 1) + 29400 29400 29400 + + 169 529 211 + - ----- DATA(-2, -2, -1) - ----- DATA(2, 2, -2) + ---- DATA(2, 1, 1) + 29400 29400 7350 + + 191 311 311 + + ----- DATA(1, 2, 1) + ----- DATA(0, 2, 1) + ----- DATA(0, -2, -1) + 29400 29400 29400 + + 211 169 + + ---- DATA(-1, -1, 2) - ----- DATA(2, 2, 1) + 2/75 DATA(-2, 1, 0) + 7350 29400 + + 529 191 211 + - ----- DATA(-2, -2, 2) + ----- DATA(1, -2, -1) + ---- DATA(1, -1, 2) + 29400 29400 7350 + + 33 + - --- DATA(2, 0, 2) - 1/20 DATA(0, 0, 2) - 9/196 DATA(-1, 0, 2) + 980 + + 211 169 128 + + ---- DATA(-2, -1, -1) - ----- DATA(2, -2, -1) + ---- DATA(2, -1, 2) + 7350 29400 3675 + + 211 + - 1/600 DATA(0, -2, 2) + ---- DATA(1, 1, 2) + 2/75 DATA(0, 1, 2) + 7350 + + 211 169 169 + + ---- DATA(-1, 1, 2) - ----- DATA(-1, -2, 2) - ----- DATA(1, -2, 2) + 7350 29400 29400 + + 169 128 + - 9/196 DATA(-2, 0, -1) - ----- DATA(-1, 2, 2) + ---- DATA(2, 1, 2) + 29400 3675 + + 169 211 68 + - ----- DATA(1, 2, 2) + ---- DATA(-2, 1, -1) + ---- DATA(0, -1, 0) + 29400 7350 3675 + + 151 61 151 + + ---- DATA(1, -1, 0) - --- DATA(-1, 0, 0) + ---- DATA(-1, 1, 0) + 7350 980 7350 + + 83 151 83 + + ---- DATA(-1, -1, 1) + ---- DATA(0, -1, 1) + ---- DATA(1, -1, 1) + 3675 7350 3675 + + 57 83 61 + - --- DATA(-1, 0, 1) + ---- DATA(-1, 1, 1) - --- DATA(0, 0, -1) + 980 3675 980 + + 57 83 151 + - --- DATA(1, 0, -1) + ---- DATA(-1, 1, -1) + ---- DATA(0, 1, -1) + 980 3675 7350 + + 83 151 83 + + ---- DATA(1, 1, -1) + ---- DATA(-1, -1, 0) + ---- DATA(-1, -1, -1) + 3675 7350 3675 + + 151 83 529 + + ---- DATA(0, -1, -1) + ---- DATA(1, -1, -1) - ----- DATA(2, -2, 2) + 7350 3675 29400 + + 169 529 + - ----- DATA(-2, 2, -1) - ----- DATA(2, 2, 2) - 1/600 DATA(-2, -2, 0) + 29400 29400 + + 311 128 + + ----- DATA(-1, -2, 0) + ---- DATA(-2, -1, 2) - 1/600 DATA(-2, 2, 0) + 29400 3675 + + 33 128 529 + - --- DATA(-2, 0, 2) + ---- DATA(-2, 1, 2) - ----- DATA(-2, -2, -2) + 980 3675 29400 + + 529 169 + - ----- DATA(-2, 2, 2) - ----- DATA(1, -2, -2) - 1/600 DATA(0, -2, -2) + 29400 29400 + + 169 128 529 + - ----- DATA(-1, -2, -2) + ---- DATA(-2, -1, -2) - ----- DATA(2, -2, -2) + 29400 3675 29400 + + 211 211 + + ---- DATA(1, -1, -2) + 2/75 DATA(0, -1, -2) + ---- DATA(-1, -1, -2) + 7350 7350 + + 33 128 + - --- DATA(-2, 0, -2) + ---- DATA(2, -1, -2) - 1/20 DATA(0, 0, -2) + 980 3675 + + \ 2 / + - 9/196 DATA(-1, 0, -2) - 9/196 DATA(1, 0, -2)| y + | + / \ + + 169 211 + - 1/20 DATA(0, -2, 0) - ----- DATA(-2, -2, 1) + ---- DATA(1, -2, 1) + 29400 7350 + + - 9/196 DATA(0, -2, 1) + 2/75 DATA(1, -2, 0) - 9/196 DATA(0, 2, -1) + + 311 211 + + ----- DATA(2, 0, -1) + ---- DATA(-1, -2, 1) - 9/196 DATA(0, -1, 2) + 29400 7350 + + 191 169 + + ----- DATA(-2, -1, 1) - 1/600 DATA(2, -2, 0) - ----- DATA(2, -2, 1) + 29400 29400 + + 311 311 33 + + ----- DATA(-2, 0, 1) + ----- DATA(-2, -1, 0) - --- DATA(0, 2, 2) + 29400 29400 980 + + 151 191 + + 2/75 DATA(1, 0, 2) + ---- DATA(-1, 0, -1) + ----- DATA(2, -1, -1) + 7350 29400 + + 13 68 61 + - --- DATA(0, 0, 0) + ---- DATA(1, 0, 0) - --- DATA(0, 1, 0) + 196 3675 980 + + 151 61 151 + + ---- DATA(1, 1, 0) - --- DATA(0, 0, 1) + ---- DATA(1, 0, 1) + 7350 980 7350 + + 57 83 169 + - --- DATA(0, 1, 1) + ---- DATA(1, 1, 1) - ----- DATA(2, 2, -1) + 980 3675 29400 + + 211 169 211 + + ---- DATA(1, 2, -1) - ----- DATA(-2, 1, -2) + ---- DATA(-1, 2, -1) + 7350 29400 7350 + + 191 431 + + ----- DATA(2, 1, -1) + ----- DATA(2, 0, 0) - 9/196 DATA(0, 1, -2) + 29400 29400 + + 191 311 211 + + ----- DATA(-2, 1, 1) + ----- DATA(2, -1, 0) + ---- DATA(-1, 1, -2) + 29400 29400 7350 + + 169 + + 2/75 DATA(1, 2, 0) - ----- DATA(2, 1, -2) - 1/20 DATA(0, 2, 0) + 29400 + + 311 211 + + 2/75 DATA(-1, 2, 0) + ----- DATA(2, 1, 0) + ---- DATA(1, 1, -2) + 29400 7350 + + 128 529 + + ---- DATA(-1, 2, -2) - ----- DATA(-2, 2, -2) - 1/600 DATA(2, 2, 0) + 3675 29400 + + 33 169 191 + - --- DATA(0, 2, -2) - ----- DATA(-2, 2, 1) + ----- DATA(2, -1, 1) + 980 29400 29400 + + 431 311 + - 1/600 DATA(2, 0, -2) + ----- DATA(-2, 0, 0) + ----- DATA(2, 0, 1) + 29400 29400 + + 128 211 211 + + ---- DATA(1, 2, -2) + ---- DATA(-1, -2, -1) + ---- DATA(-1, 2, 1) + 3675 7350 7350 + + 169 529 191 + - ----- DATA(-2, -2, -1) - ----- DATA(2, 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time=77.73 +bytes used=747409656, alloc=7076592, time=77.79 + 2 2 2 2 +[COEFF(-2, -2, -2) = 1/175 x y z + 1/175 x y z - 1/175 x y + 1/175 x y z + + 2 11 137 137 2 + - 1/175 x y - 1/125 x y z + --- x - ---- x y - ---- y z - 1/175 y z + 420 5250 5250 + + 2 11 11 3 3 3 + - 1/175 x z + --- y + --- z + 1/300 x y + 1/300 y z + 1/300 x z + 420 420 + + 3 137 2 2 2 2 3 + + 1/300 x z - ---- x z + 1/245 y z + 1/245 x z + 1/300 y z + 5250 + + 2 202 2 3 2 2 529 2 + - 1/175 y z + ---- - 1/175 x z + 1/300 x y + 1/245 x y - ----- y + 6125 29400 + + 529 2 529 2 3 3 3 4 + - ----- x - ----- z - 1/300 x - 1/300 y - 1/300 z + 1/600 z + 29400 29400 + + 4 4 2 2 + + 1/600 x + 1/600 y , COEFF(-1, -2, -2) = 1/350 x y z + 1/350 x y z + + 2 2 2 + + 1/350 x y - 1/350 x y z - 1/350 x y - 1/250 x y z - 8/525 x + + 107 47 2 2 19 19 + + ---- x y - ---- y z - 1/175 y z - 1/350 x z + ---- y + ---- z + 7000 5250 2100 2100 + + 3 3 3 3 107 + - 1/150 x y + 1/300 y z + 1/600 x z - 1/150 x z + ---- x z + 7000 + + 2 2 2 2 3 2 2 + + 1/245 y z - 1/490 x z + 1/300 y z - 1/175 y z + 1/350 x z + + 3 2 2 169 2 128 2 169 2 3 + + 1/600 x y - 1/490 x y - ----- y + ---- x - ----- z + 1/150 x + 29400 3675 29400 + + 3 3 4 4 4 + - 1/300 y - 1/300 z - 2/125 + 1/600 z - 1/150 x + 1/600 y , + + 17 3 2 4 33 2 + COEFF(0, -2, -2) = - ---- y z + 1/300 y z - 1/600 z + 1/100 x - --- x + 5250 980 + + 2 2 2 2 2 2 2 + + 1/245 y z - 1/175 x y z + 1/175 x y - 1/175 y z - 1/245 x z + + 2 2 2 2 2 4 + + 1/175 x z + 1/300 y - 1/245 x y - 1/175 y z - 1/600 y + 1/600 z + + 3 3 4 47 3 + + 1/300 z - 1/300 y - 1/300 z + 1/600 y + ---- + 1/300 y z , + 6125 + + 2 2 2 + COEFF(1, -2, -2) = - 1/350 x y z - 1/350 x y z + 1/350 x y + + 2 2 107 47 + - 1/350 x y z + 1/350 x y + 1/250 x y z + 8/525 x - ---- x y - ---- y z + 7000 5250 + + 2 2 19 19 3 3 + - 1/175 y z + 1/350 x z + ---- y + ---- z + 1/150 x y + 1/300 y z + 2100 2100 + + 3 3 107 2 2 2 2 + - 1/600 x z + 1/150 x z - ---- x z + 1/245 y z - 1/490 x z + 7000 + + 3 2 2 3 2 2 + + 1/300 y z - 1/175 y z + 1/350 x z - 1/600 x y - 1/490 x y + + 169 2 128 2 169 2 3 3 3 + - ----- y + ---- x - ----- z - 1/150 x - 1/300 y - 1/300 z - 2/125 + 29400 3675 29400 + + 4 4 4 2 + + 1/600 z - 1/150 x + 1/600 y , COEFF(2, -2, -2) = - 1/175 x y z + + 2 2 2 2 + - 1/175 x y z - 1/175 x y + 1/175 x y z + 1/175 x y + 1/125 x y z + + 11 137 137 2 2 11 11 + - --- x + ---- x y - ---- y z - 1/175 y z + 1/175 x z + --- y + --- z + 420 5250 5250 420 420 + + 3 3 3 3 137 + - 1/300 x y + 1/300 y z - 1/300 x z - 1/300 x z + ---- x z + 5250 + + 2 2 2 2 3 2 202 2 + + 1/245 y z + 1/245 x z + 1/300 y z - 1/175 y z + ---- - 1/175 x z + 6125 + + 3 2 2 529 2 529 2 529 2 3 + - 1/300 x y + 1/245 x y - ----- y - ----- x - ----- z + 1/300 x + 29400 29400 29400 + + 3 3 4 4 4 + - 1/300 y - 1/300 z + 1/600 z + 1/600 x + 1/600 y , COEFF(-2, -1, -2) + + 2 2 2 2 2 + = 1/350 x y z - 1/350 x y z - 1/350 x y + 1/350 x y z + 1/350 x y + + 19 107 107 2 2 + - 1/250 x y z + ---- x + ---- x y + ---- y z - 1/350 y z - 1/175 x z + 2100 7000 7000 + + 19 3 3 3 3 + - 8/525 y + ---- z + 1/600 x y - 1/150 y z + 1/300 x z + 1/300 x z + 2100 + + 47 2 2 2 2 3 2 + - ---- x z - 1/490 y z + 1/245 x z + 1/600 y z + 1/350 y z + 5250 + + 2 3 2 2 128 2 169 2 169 2 + - 1/175 x z - 1/150 x y - 1/490 x y + ---- y - ----- x - ----- z + 3675 29400 29400 + + 3 3 3 4 4 4 + - 1/300 x + 1/150 y - 1/300 z - 2/125 + 1/600 z + 1/600 x - 1/150 y , + + 2 2 2 2 + COEFF(-1, -1, -2) = 1/700 x y z - 1/700 x y z + 1/700 x y - 1/700 x y z + + 2 229 167 2 + + 1/700 x y - 1/500 x y z - 1/42 x + ----- x y + ---- y z - 1/350 y z + 10500 7000 + + 2 17 3 3 3 + - 1/350 x z - 1/42 y - ---- z - 1/300 x y - 1/150 y z + 1/600 x z + 2100 + + 3 167 2 2 2 2 3 173 + - 1/150 x z + ---- x z - 1/490 y z - 1/490 x z + 1/600 y z - ---- + 7000 6125 + + 2 2 3 2 2 211 2 211 2 + + 1/350 y z + 1/350 x z - 1/300 x y + 1/980 x y + ---- y + ---- x + 7350 7350 + + 191 2 3 3 3 4 4 + + ----- z + 1/150 x + 1/150 y - 1/300 z + 1/600 z - 1/150 x + 29400 + + 4 47 2 2 311 2 + - 1/150 y , COEFF(0, -1, -2) = ---- - 2/75 y - 1/245 x z + ----- z + 6125 29400 + + 4 29 2 3 2 2 2 + + 1/100 x - ---- z + 1/350 x y - 1/150 y z + 1/490 x y + 1/350 y z + 2100 + + 4 2 187 2 2 3 + + 1/600 z + 2/75 y + ---- y z - 9/196 x - 1/350 y z + 1/600 y z + 7000 + + 3 2 4 2 2 2 3 + + 1/150 y + 1/175 x z - 1/150 y - 1/490 y z - 1/350 x y z - 1/300 z + + 2 2 2 + , COEFF(1, -1, -2) = - 1/700 x y z + 1/700 x y z + 1/700 x y + + 2 2 229 167 + - 1/700 x y z - 1/700 x y + 1/500 x y z + 1/42 x - ----- x y + ---- y z + 10500 7000 + + 2 2 17 3 3 + - 1/350 y z + 1/350 x z - 1/42 y - ---- z + 1/300 x y - 1/150 y z + 2100 + + 3 3 167 2 2 2 2 + - 1/600 x z + 1/150 x z - ---- x z - 1/490 y z - 1/490 x z + 7000 + + 3 173 2 2 3 2 2 + + 1/600 y z - ---- + 1/350 y z + 1/350 x z + 1/300 x y + 1/980 x y + 6125 + + 211 2 211 2 191 2 3 3 3 4 + + ---- y + ---- x + ----- z - 1/150 x + 1/150 y - 1/300 z + 1/600 z + 7350 7350 29400 + + 4 4 2 2 + - 1/150 x - 1/150 y , COEFF(2, -1, -2) = - 1/350 x y z + 1/350 x y z + + 2 2 2 19 107 + - 1/350 x y + 1/350 x y z - 1/350 x y + 1/250 x y z - ---- x - ---- x y + 2100 7000 + + 107 2 2 19 3 + + ---- y z - 1/350 y z + 1/175 x z - 8/525 y + ---- z - 1/600 x y + 7000 2100 + + 3 3 3 47 2 2 + - 1/150 y z - 1/300 x z - 1/300 x z + ---- x z - 1/490 y z + 5250 + + 2 2 3 2 2 3 + + 1/245 x z + 1/600 y z + 1/350 y z - 1/175 x z + 1/150 x y + + 2 2 128 2 169 2 169 2 3 3 + - 1/490 x y + ---- y - ----- x - ----- z + 1/300 x + 1/150 y + 3675 29400 29400 + + 3 4 4 4 + - 1/300 z - 2/125 + 1/600 z + 1/600 x - 1/150 y , COEFF(-2, 0, -2) = + + 33 2 3 3 4 + - --- y + 1/300 x z + 1/300 x - 1/300 z + 1/300 z + 1/600 x + 980 + + 2 3 2 2 4 2 2 + - 1/175 x z - 1/300 x - 1/245 y z + 1/100 y - 1/600 z + 1/175 y z + + 2 2 3 47 2 2 2 + - 1/245 x y + 1/300 x z + ---- - 1/175 x z - 1/175 x y z - 1/600 x + 6125 + + 17 4 2 2 2 + - ---- x z + 1/600 z + 1/175 x y + 1/245 x z , COEFF(-1, 0, -2) = + 5250 + + 2 29 47 4 3 2 + 1/350 x y - ---- z + ---- + 1/100 y + 1/150 x - 1/350 x y z + 2100 6125 + + 2 2 2 2 2 4 2 + - 1/350 x z - 9/196 y + 2/75 x - 1/245 y z + 1/600 z + 1/175 y z + + 3 2 2 187 2 2 3 + - 1/150 x z + 1/490 x y + ---- x z - 1/490 x z - 1/300 z + 7000 + + 3 4 2 311 2 + + 1/600 x z - 1/150 x + 1/350 x z + ----- z - 2/75 x, COEFF(0, 0, -2) + 29400 + + 431 2 4 2 2 41 292 2 2 + = ----- z + 1/100 x + 1/245 x y - ---- z + ---- - 1/20 y - 1/20 x + 29400 2100 6125 + + 2 2 2 2 4 2 3 4 + - 1/245 y z - 1/245 x z + 1/600 z + 1/175 x z - 1/300 z + 1/100 y + + 2 3 47 3 + + 1/175 y z, COEFF(1, 0, -2) = - 1/300 z + ---- - 1/600 x z + 6125 + + 2 2 2 187 2 2 4 + - 1/245 y z - 9/196 y - ---- x z + 1/350 x z + 1/175 y z + 1/600 z + 7000 + + 2 2 2 29 2 4 + + 1/490 x y + 2/75 x - ---- z + 1/350 x y z + 2/75 x - 1/150 x + 2100 + + 2 2 2 311 2 4 2 3 + + 1/350 x z - 1/490 x z + ----- z + 1/100 y - 1/350 x y - 1/150 x + 29400 + + 3 47 33 2 2 2 2 + + 1/150 x z, COEFF(2, 0, -2) = ---- - --- y + 1/245 x z - 1/600 x + 6125 980 + + 3 2 2 17 2 2 + - 1/300 x z + 1/300 z - 1/175 x y + 1/175 x z + ---- x z - 1/245 y z + 5250 + + 3 2 2 4 2 3 2 + - 1/300 x z - 1/245 x y + 1/100 y + 1/175 y z - 1/300 z - 1/175 x z + + 4 4 2 2 3 + + 1/600 x + 1/600 z + 1/175 x y z - 1/600 z - 1/300 x + 1/300 x , + + 2 2 2 + COEFF(-2, 1, -2) = - 1/350 x y z - 1/350 x y z + 1/350 x y + + 2 2 19 107 107 + - 1/350 x y z + 1/350 x y + 1/250 x y z + ---- x - ---- x y - ---- y z + 2100 7000 7000 + + 2 2 19 3 3 + + 1/350 y z - 1/175 x z + 8/525 y + ---- z - 1/600 x y + 1/150 y z + 2100 + + 3 3 47 2 2 2 2 + + 1/300 x z + 1/300 x z - ---- x z - 1/490 y z + 1/245 x z + 5250 + + 3 2 2 3 2 2 + - 1/600 y z + 1/350 y z - 1/175 x z + 1/150 x y - 1/490 x y + + 128 2 169 2 169 2 3 3 3 + + ---- y - ----- x - ----- z - 1/300 x - 1/150 y - 1/300 z - 2/125 + 3675 29400 29400 + + 4 4 4 2 + + 1/600 z + 1/600 x - 1/150 y , COEFF(-1, 1, -2) = - 1/700 x y z + + 2 2 2 2 + - 1/700 x y z - 1/700 x y + 1/700 x y z + 1/700 x y + 1/500 x y z + + 229 167 2 2 + - 1/42 x - ----- x y - ---- y z + 1/350 y z - 1/350 x z + 1/42 y + 10500 7000 + + 17 3 3 3 3 167 + - ---- z + 1/300 x y + 1/150 y z + 1/600 x z - 1/150 x z + ---- x z + 2100 7000 + + 2 2 2 2 3 173 2 2 + - 1/490 y z - 1/490 x z - 1/600 y z - ---- + 1/350 y z + 1/350 x z + 6125 + + 3 2 2 211 2 211 2 191 2 3 + + 1/300 x y + 1/980 x y + ---- y + ---- x + ----- z + 1/150 x + 7350 7350 29400 + + 3 3 4 4 4 + - 1/150 y - 1/300 z + 1/600 z - 1/150 x - 1/150 y , COEFF(0, 1, -2) = + + 2 2 3 2 3 2 2 + - 1/245 x z - 1/300 z + 1/175 x z - 1/600 y z + 1/490 x y + + 2 2 3 311 2 4 + - 1/350 x y + 1/350 y z - 1/150 y + ----- z + 2/75 y + 1/100 x + 29400 + + 2 187 2 3 4 47 + - 9/196 x - ---- y z + 1/350 x y z + 1/150 y z - 1/150 y + ---- + 7000 6125 + + 2 29 2 2 4 2 + + 1/350 y z - ---- z - 1/490 y z + 1/600 z + 2/75 y , COEFF(1, 1, -2) + 2100 + + 2 2 2 2 2 + = 1/700 x y z + 1/700 x y z - 1/700 x y + 1/700 x y z - 1/700 x y + + 229 167 2 2 + - 1/500 x y z + 1/42 x + ----- x y - ---- y z + 1/350 y z + 1/350 x z + 10500 7000 + + 17 3 3 3 3 + + 1/42 y - ---- z - 1/300 x y + 1/150 y z - 1/600 x z + 1/150 x z + 2100 + + 167 2 2 2 2 3 173 2 + - ---- x z - 1/490 y z - 1/490 x z - 1/600 y z - ---- + 1/350 y z + 7000 6125 + + 2 3 2 2 211 2 211 2 191 2 + + 1/350 x z - 1/300 x y + 1/980 x y + ---- y + ---- x + ----- z + 7350 7350 29400 + + 3 3 3 4 4 4 + - 1/150 x - 1/150 y - 1/300 z + 1/600 z - 1/150 x - 1/150 y , + + 2 2 2 2 + COEFF(2, 1, -2) = 1/350 x y z + 1/350 x y z + 1/350 x y - 1/350 x y z + + 2 19 107 107 2 + - 1/350 x y - 1/250 x y z - ---- x + ---- x y - ---- y z + 1/350 y z + 2100 7000 7000 + + 2 19 3 3 3 + + 1/175 x z + 8/525 y + ---- z + 1/600 x y + 1/150 y z - 1/300 x z + 2100 + + 3 47 2 2 2 2 3 + - 1/300 x z + ---- x z - 1/490 y z + 1/245 x z - 1/600 y z + 5250 + + 2 2 3 2 2 128 2 169 2 + + 1/350 y z - 1/175 x z - 1/150 x y - 1/490 x y + ---- y - ----- x + 3675 29400 + + 169 2 3 3 3 4 4 + - ----- z + 1/300 x - 1/150 y - 1/300 z - 2/125 + 1/600 z + 1/600 x + 29400 + + 4 2 2 2 + - 1/150 y , COEFF(-2, 2, -2) = - 1/175 x y z + 1/175 x y z + 1/175 x y + + 2 2 11 137 137 + - 1/175 x y z - 1/175 x y + 1/125 x y z + --- x + ---- x y + ---- y z + 420 5250 5250 + + 2 2 11 11 3 3 + + 1/175 y z - 1/175 x z - --- y + --- z - 1/300 x y - 1/300 y z + 420 420 + + 3 3 137 2 2 2 2 + + 1/300 x z + 1/300 x z - ---- x z + 1/245 y z + 1/245 x z + 5250 + + 3 2 202 2 3 2 2 + - 1/300 y z - 1/175 y z + ---- - 1/175 x z - 1/300 x y + 1/245 x y + 6125 + + 529 2 529 2 529 2 3 3 3 + - ----- y - ----- x - ----- z - 1/300 x + 1/300 y - 1/300 z + 29400 29400 29400 + + 4 4 4 2 + + 1/600 z + 1/600 x + 1/600 y , COEFF(-1, 2, -2) = - 1/350 x y z + + 2 2 2 2 + + 1/350 x y z - 1/350 x y + 1/350 x y z - 1/350 x y + 1/250 x y z + + 107 47 2 2 19 + - 8/525 x - ---- x y + ---- y z + 1/175 y z - 1/350 x z - ---- y + 7000 5250 2100 + + 19 3 3 3 3 107 + + ---- z + 1/150 x y - 1/300 y z + 1/600 x z - 1/150 x z + ---- x z + 2100 7000 + + 2 2 2 2 3 2 2 + + 1/245 y z - 1/490 x z - 1/300 y z - 1/175 y z + 1/350 x z + + 3 2 2 169 2 128 2 169 2 3 + - 1/600 x y - 1/490 x y - ----- y + ---- x - ----- z + 1/150 x + 29400 3675 29400 + + 3 3 4 4 4 + + 1/300 y - 1/300 z - 2/125 + 1/600 z - 1/150 x + 1/600 y , + + 47 3 2 + COEFF(0, 2, -2) = ---- - 1/300 y + 1/300 z - 1/300 y z + 1/175 x z + 6125 + + 2 2 4 2 2 2 2 2 + - 1/600 z - 1/600 y + 1/600 z - 1/245 x z - 1/245 x y - 1/175 y z + + 3 3 4 2 2 33 2 + + 1/300 y - 1/300 y z + 1/600 y + 1/175 x y z + 1/175 y z - --- x + 980 + + 2 2 2 17 4 3 + - 1/175 x y + 1/245 y z + ---- y z + 1/100 x - 1/300 z , + 5250 + + 2 2 2 2 + COEFF(1, 2, -2) = 1/350 x y z - 1/350 x y z - 1/350 x y + 1/350 x y z + + 2 107 47 2 + + 1/350 x y - 1/250 x y z + 8/525 x + ---- x y + ---- y z + 1/175 y z + 7000 5250 + + 2 19 19 3 3 3 + + 1/350 x z - ---- y + ---- z - 1/150 x y - 1/300 y z - 1/600 x z + 2100 2100 + + 3 107 2 2 2 2 3 + + 1/150 x z - ---- x z + 1/245 y z - 1/490 x z - 1/300 y z + 7000 + + 2 2 3 2 2 169 2 128 2 + - 1/175 y z + 1/350 x z + 1/600 x y - 1/490 x y - ----- y + ---- x + 29400 3675 + + 169 2 3 3 3 4 4 + - ----- z - 1/150 x + 1/300 y - 1/300 z - 2/125 + 1/600 z - 1/150 x + 29400 + + 4 2 2 2 + + 1/600 y , COEFF(2, 2, -2) = 1/175 x y z - 1/175 x y z + 1/175 x y + + 2 2 11 137 137 + - 1/175 x y z + 1/175 x y - 1/125 x y z - --- x - ---- x y + ---- y z + 420 5250 5250 + + 2 2 11 11 3 3 + + 1/175 y z + 1/175 x z - --- y + --- z + 1/300 x y - 1/300 y z + 420 420 + + 3 3 137 2 2 2 2 + - 1/300 x z - 1/300 x z + ---- x z + 1/245 y z + 1/245 x z + 5250 + + 3 2 202 2 3 2 2 + - 1/300 y z - 1/175 y z + ---- - 1/175 x z + 1/300 x y + 1/245 x y + 6125 + + 529 2 529 2 529 2 3 3 3 + - ----- y - ----- x - ----- z + 1/300 x + 1/300 y - 1/300 z + 29400 29400 29400 + + 4 4 4 2 + + 1/600 z + 1/600 x + 1/600 y , COEFF(-2, -2, -1) = - 1/350 x y z + + 2 2 2 2 + + 1/350 x y z - 1/175 x y + 1/350 x y z - 1/175 x y - 1/250 x y z + + 19 47 107 2 2 19 + + ---- x - ---- x y + ---- y z + 1/350 y z + 1/350 x z + ---- y + 2100 5250 7000 2100 + + 3 3 3 3 107 + - 8/525 z + 1/300 x y + 1/600 y z - 1/150 x z + 1/600 x z + ---- x z + 7000 + + 2 2 2 2 3 2 2 + - 1/490 y z - 1/490 x z - 1/150 y z - 1/350 y z - 1/350 x z + + 3 2 2 169 2 169 2 128 2 3 + + 1/300 x y + 1/245 x y - ----- y - ----- x + ---- z - 1/300 x + 29400 29400 3675 + + 3 3 4 4 4 + - 1/300 y + 1/150 z - 2/125 - 1/150 z + 1/600 x + 1/600 y , + + 2 2 2 + COEFF(-1, -2, -1) = - 1/700 x y z + 1/700 x y z + 1/350 x y + + 2 2 167 167 + - 1/700 x y z - 1/350 x y - 1/500 x y z - 1/42 x + ---- x y + ---- y z + 7000 7000 + + 2 2 17 3 3 + + 1/350 y z + 1/700 x z - ---- y - 1/42 z - 1/150 x y + 1/600 y z + 2100 + + 3 3 229 2 2 2 2 + - 1/300 x z - 1/300 x z + ----- x z - 1/490 y z + 1/980 x z + 10500 + + 3 173 2 2 3 2 2 + - 1/150 y z - ---- - 1/350 y z + 1/700 x z + 1/600 x y - 1/490 x y + 6125 + + 191 2 211 2 211 2 3 3 3 4 + + ----- y + ---- x + ---- z + 1/150 x - 1/300 y + 1/150 z - 1/150 z + 29400 7350 7350 + + 4 4 3 3 187 + - 1/150 x + 1/600 y , COEFF(0, -2, -1) = 1/600 y z + 1/150 z + ---- y z + 7000 + + 2 2 311 2 2 2 47 3 2 + - 1/245 x y + ----- y + 1/490 x z + ---- - 1/150 y z - 1/350 y z + 29400 6125 + + 3 2 4 2 2 2 + - 1/300 y - 1/350 x y z + 1/600 y - 1/490 y z + 2/75 z - 2/75 z + + 2 2 4 2 2 4 + + 1/175 x y + 1/350 y z + 1/100 x + 1/350 x z - 9/196 x - 1/150 z + + 29 2 2 2 + - ---- y, COEFF(1, -2, -1) = 1/700 x y z - 1/700 x y z + 1/350 x y + 2100 + + 2 2 167 167 + - 1/700 x y z + 1/350 x y + 1/500 x y z + 1/42 x - ---- x y + ---- y z + 7000 7000 + + 2 2 17 3 3 + + 1/350 y z - 1/700 x z - ---- y - 1/42 z + 1/150 x y + 1/600 y z + 2100 + + 3 3 229 2 2 2 2 + + 1/300 x z + 1/300 x z - ----- x z - 1/490 y z + 1/980 x z + 10500 + + 3 173 2 2 3 2 2 + - 1/150 y z - ---- - 1/350 y z + 1/700 x z - 1/600 x y - 1/490 x y + 6125 + + 191 2 211 2 211 2 3 3 3 4 + + ----- y + ---- x + ---- z - 1/150 x - 1/300 y + 1/150 z - 1/150 z + 29400 7350 7350 + + 4 4 2 2 + - 1/150 x + 1/600 y , COEFF(2, -2, -1) = 1/350 x y z - 1/350 x y z + + 2 2 2 19 47 + - 1/175 x y + 1/350 x y z + 1/175 x y + 1/250 x y z - ---- x + ---- x y + 2100 5250 + + 107 2 2 19 3 + + ---- y z + 1/350 y z - 1/350 x z + ---- y - 8/525 z - 1/300 x y + 7000 2100 + + 3 3 3 107 2 2 + + 1/600 y z + 1/150 x z - 1/600 x z - ---- x z - 1/490 y z + 7000 + + 2 2 3 2 2 3 + - 1/490 x z - 1/150 y z - 1/350 y z - 1/350 x z - 1/300 x y + + 2 2 169 2 169 2 128 2 3 3 + + 1/245 x y - ----- y - ----- x + ---- z + 1/300 x - 1/300 y + 29400 29400 3675 + + 3 4 4 4 + + 1/150 z - 2/125 - 1/150 z + 1/600 x + 1/600 y , COEFF(-2, -1, -1) = + + 2 2 2 2 2 + - 1/700 x y z - 1/700 x y z - 1/350 x y + 1/700 x y z + 1/350 x y + + 17 167 229 2 2 + - 1/500 x y z - ---- x + ---- x y + ----- y z + 1/700 y z + 1/350 x z + 2100 7000 10500 + + 3 3 3 3 + - 1/42 y - 1/42 z + 1/600 x y - 1/300 y z - 1/150 x z + 1/600 x z + + 167 2 2 2 2 3 173 2 + + ---- x z + 1/980 y z - 1/490 x z - 1/300 y z - ---- + 1/700 y z + 7000 6125 + + 2 3 2 2 211 2 191 2 211 2 + - 1/350 x z - 1/150 x y - 1/490 x y + ---- y + ----- x + ---- z + 7350 29400 7350 + + 3 3 3 4 4 4 + - 1/300 x + 1/150 y + 1/150 z - 1/150 z + 1/600 x - 1/150 y , + + 2 2 2 + COEFF(-1, -1, -1) = - 1/1400 x y z - 1/1400 x y z + 1/700 x y + + 2 2 17 137 137 + - 1/1400 x y z + 1/700 x y - 1/1000 x y z - --- x + ---- x y + ---- y z + 525 5250 5250 + + 2 2 17 17 3 3 + + 1/700 y z + 1/700 x z - --- y - --- z - 1/300 x y - 1/300 y z + 525 525 + + 3 3 137 2 2 2 2 + - 1/300 x z - 1/300 x z + ---- x z + 1/980 y z + 1/980 x z + 5250 + + 3 2 23 2 3 2 2 + - 1/300 y z + 1/700 y z - ---- + 1/700 x z - 1/300 x y + 1/980 x y + 6125 + + 83 2 83 2 83 2 3 3 3 4 + + ---- y + ---- x + ---- z + 1/150 x + 1/150 y + 1/150 z - 1/150 z + 3675 3675 3675 + + 4 4 2 2 2 + - 1/150 x - 1/150 y , COEFF(0, -1, -1) = 1/980 y z - 1/700 x y z + + 3 2 2 3 2 4 272 + + 1/150 z + 1/490 x y + 1/150 y + 1/700 y z + 1/100 x + ---- + 6125 + + 4 2 37 3 151 2 289 + - 1/150 z + 1/350 x y - ---- z - 1/300 y z + ---- y + ----- y z + 1050 7350 10500 + + 2 37 3 57 2 2 4 + + 1/350 x z - ---- y - 1/300 y z - --- x + 1/700 y z - 1/150 y + 1050 980 + + 2 2 151 2 2 2 + + 1/490 x z + ---- z , COEFF(1, -1, -1) = 1/1400 x y z + 1/1400 x y z + 7350 + + 2 2 2 17 + + 1/700 x y - 1/1400 x y z - 1/700 x y + 1/1000 x y z + --- x + 525 + + 137 137 2 2 17 17 + - ---- x y + ---- y z + 1/700 y z - 1/700 x z - --- y - --- z + 5250 5250 525 525 + + 3 3 3 3 137 + + 1/300 x y - 1/300 y z + 1/300 x z + 1/300 x z - ---- x z + 5250 + + 2 2 2 2 3 2 23 2 + + 1/980 y z + 1/980 x z - 1/300 y z + 1/700 y z - ---- + 1/700 x z + 6125 + + 3 2 2 83 2 83 2 83 2 3 + + 1/300 x y + 1/980 x y + ---- y + ---- x + ---- z - 1/150 x + 3675 3675 3675 + + 3 3 4 4 4 + + 1/150 y + 1/150 z - 1/150 z - 1/150 x - 1/150 y , COEFF(2, -1, -1) + + 2 2 2 2 2 + = 1/700 x y z + 1/700 x y z - 1/350 x y + 1/700 x y z - 1/350 x y + + 17 167 229 2 2 + + 1/500 x y z + ---- x - ---- x y + ----- y z + 1/700 y z - 1/350 x z + 2100 7000 10500 + + 3 3 3 3 + - 1/42 y - 1/42 z - 1/600 x y - 1/300 y z + 1/150 x z - 1/600 x z + + 167 2 2 2 2 3 173 2 + - ---- x z + 1/980 y z - 1/490 x z - 1/300 y z - ---- + 1/700 y z + 7000 6125 + + 2 3 2 2 211 2 191 2 211 2 + - 1/350 x z + 1/150 x y - 1/490 x y + ---- y + ----- x + ---- z + 7350 29400 7350 + + 3 3 3 4 4 4 + + 1/300 x + 1/150 y + 1/150 z - 1/150 z + 1/600 x - 1/150 y , + + 2 29 2 4 4 + COEFF(-2, 0, -1) = 1/350 x z - ---- x + 1/350 y z + 1/600 x - 1/150 z + 2100 + + 187 311 2 3 2 2 3 47 + + ---- x z + ----- x - 1/150 x z - 1/245 x y + 1/150 z + ---- + 7000 29400 6125 + + 3 3 2 2 2 2 2 + - 1/300 x + 1/600 x z - 2/75 z - 1/490 x z + 1/490 y z + 2/75 z + + 2 4 2 2 2 + - 9/196 y + 1/100 y - 1/350 x y z + 1/175 x y - 1/350 x z, + + 3 2 3 272 + COEFF(-1, 0, -1) = - 1/300 x z - 1/700 x y z - 1/300 x z + ---- + 6125 + + 2 2 2 2 2 2 2 + + 1/700 x z + 1/350 y z + 1/490 x y + 1/980 x z + 1/700 x z + + 57 2 151 2 2 2 4 37 3 4 + - --- y + ---- x + 1/490 y z - 1/150 x - ---- x + 1/150 x - 1/150 z + 980 7350 1050 + + 37 3 2 151 2 289 4 + - ---- z + 1/150 z + 1/350 x y + ---- z + ----- x z + 1/100 y , + 1050 7350 10500 + + 592 2 2 61 2 68 2 2 2 + COEFF(0, 0, -1) = ---- + 1/245 x y - --- x + ---- z + 1/490 x z + 6125 980 3675 + + 4 2 2 4 2 3 2 + - 1/150 z + 1/490 y z + 1/100 x + 1/350 x z + 1/150 z + 1/350 y z + + 61 2 4 3 2 + - 4/105 z - --- y + 1/100 y , COEFF(1, 0, -1) = 1/300 x z + 1/350 y z + 980 + + 289 2 2 2 2 2 37 3 + - ----- x z + 1/490 y z - 1/700 x z + 1/980 x z - ---- z - 1/150 x + 10500 1050 + + 4 2 3 3 151 2 37 + - 1/150 z + 1/700 x z + 1/150 z + 1/300 x z + ---- z + ---- x + 7350 1050 + + 2 57 2 4 151 2 2 2 4 + + 1/700 x y z - --- y + 1/100 y + ---- x + 1/490 x y - 1/150 x + 980 7350 + + 272 2 29 47 187 + + ---- - 1/350 x y , COEFF(2, 0, -1) = ---- x + ---- - ---- x z - 2/75 z + 6125 2100 6125 7000 + + 3 2 4 2 2 2 + - 1/600 x z - 1/350 x z + 1/100 y - 1/245 x y - 9/196 y + + 2 2 4 3 311 2 2 + + 1/350 x y z - 1/350 x z - 1/150 z + 1/300 x + ----- x + 1/350 y z + 29400 + + 4 2 3 3 2 2 2 + + 1/600 x + 2/75 z + 1/150 x z + 1/150 z + 1/490 y z - 1/175 x y + + 2 2 2 2 2 + - 1/490 x z , COEFF(-2, 1, -1) = 1/700 x y z - 1/700 x y z + 1/350 x y + + 2 2 17 167 229 + - 1/700 x y z + 1/350 x y + 1/500 x y z - ---- x - ---- x y - ----- y z + 2100 7000 10500 + + 2 2 3 3 + - 1/700 y z + 1/350 x z + 1/42 y - 1/42 z - 1/600 x y + 1/300 y z + + 3 3 167 2 2 2 2 + - 1/150 x z + 1/600 x z + ---- x z + 1/980 y z - 1/490 x z + 7000 + + 3 173 2 2 3 2 2 + + 1/300 y z - ---- + 1/700 y z - 1/350 x z + 1/150 x y - 1/490 x y + 6125 + + 211 2 191 2 211 2 3 3 3 4 + + ---- y + ----- x + ---- z - 1/300 x - 1/150 y + 1/150 z - 1/150 z + 7350 29400 7350 + + 4 4 2 2 + + 1/600 x - 1/150 y , COEFF(-1, 1, -1) = 1/1400 x y z - 1/1400 x y z + + 2 2 2 17 + - 1/700 x y + 1/1400 x y z + 1/700 x y + 1/1000 x y z - --- x + 525 + + 137 137 2 2 17 17 + - ---- x y - ---- y z - 1/700 y z + 1/700 x z + --- y - --- z + 5250 5250 525 525 + + 3 3 3 3 137 + + 1/300 x y + 1/300 y z - 1/300 x z - 1/300 x z + ---- x z + 5250 + + 2 2 2 2 3 2 23 2 + + 1/980 y z + 1/980 x z + 1/300 y z + 1/700 y z - ---- + 1/700 x z + 6125 + + 3 2 2 83 2 83 2 83 2 3 + + 1/300 x y + 1/980 x y + ---- y + ---- x + ---- z + 1/150 x + 3675 3675 3675 + + 3 3 4 4 4 + - 1/150 y + 1/150 z - 1/150 z - 1/150 x - 1/150 y , COEFF(0, 1, -1) = + + 289 2 2 272 2 2 3 + - ----- y z + 1/700 y z + 1/350 x z + ---- + 1/490 x z - 1/150 y + 10500 6125 + + 2 2 2 3 3 2 4 + - 1/350 x y + 1/980 y z + 1/300 y z + 1/150 z - 1/700 y z - 1/150 z + + 57 2 37 4 2 2 151 2 4 + - --- x + ---- y - 1/150 y + 1/490 x y + ---- z + 1/100 x + 980 1050 7350 + + 3 151 2 2 37 + + 1/300 y z + ---- y + 1/700 x y z - ---- z, COEFF(1, 1, -1) = + 7350 1050 + + 2 2 2 2 2 + - 1/1400 x y z + 1/1400 x y z - 1/700 x y + 1/1400 x y z - 1/700 x y + + 17 137 137 2 2 + - 1/1000 x y z + --- x + ---- x y - ---- y z - 1/700 y z - 1/700 x z + 525 5250 5250 + + 17 17 3 3 3 3 + + --- y - --- z - 1/300 x y + 1/300 y z + 1/300 x z + 1/300 x z + 525 525 + + 137 2 2 2 2 3 2 23 + - ---- x z + 1/980 y z + 1/980 x z + 1/300 y z + 1/700 y z - ---- + 5250 6125 + + 2 3 2 2 83 2 83 2 83 2 + + 1/700 x z - 1/300 x y + 1/980 x y + ---- y + ---- x + ---- z + 3675 3675 3675 + + 3 3 3 4 4 4 + - 1/150 x - 1/150 y + 1/150 z - 1/150 z - 1/150 x - 1/150 y , + + 2 2 2 2 + COEFF(2, 1, -1) = - 1/700 x y z + 1/700 x y z + 1/350 x y - 1/700 x y z + + 2 17 167 229 2 + - 1/350 x y - 1/500 x y z + ---- x + ---- x y - ----- y z - 1/700 y z + 2100 7000 10500 + + 2 3 3 3 + - 1/350 x z + 1/42 y - 1/42 z + 1/600 x y + 1/300 y z + 1/150 x z + + 3 167 2 2 2 2 3 173 + - 1/600 x z - ---- x z + 1/980 y z - 1/490 x z + 1/300 y z - ---- + 7000 6125 + + 2 2 3 2 2 211 2 191 2 + + 1/700 y z - 1/350 x z - 1/150 x y - 1/490 x y + ---- y + ----- x + 7350 29400 + + 211 2 3 3 3 4 4 + + ---- z + 1/300 x - 1/150 y + 1/150 z - 1/150 z + 1/600 x + 7350 + + 4 2 2 2 + - 1/150 y , COEFF(-2, 2, -1) = 1/350 x y z + 1/350 x y z + 1/175 x y + + 2 2 19 47 107 + - 1/350 x y z - 1/175 x y + 1/250 x y z + ---- x + ---- x y - ---- y z + 2100 5250 7000 + + 2 2 19 3 3 + - 1/350 y z + 1/350 x z - ---- y - 8/525 z - 1/300 x y - 1/600 y z + 2100 + + 3 3 107 2 2 2 2 + - 1/150 x z + 1/600 x z + ---- x z - 1/490 y z - 1/490 x z + 7000 + + 3 2 2 3 2 2 + + 1/150 y z - 1/350 y z - 1/350 x z - 1/300 x y + 1/245 x y + + 169 2 169 2 128 2 3 3 3 + - ----- y - ----- x + ---- z - 1/300 x + 1/300 y + 1/150 z - 2/125 + 29400 29400 3675 + + 4 4 4 2 + - 1/150 z + 1/600 x + 1/600 y , COEFF(-1, 2, -1) = 1/700 x y z + + 2 2 2 2 + + 1/700 x y z - 1/350 x y + 1/700 x y z - 1/350 x y + 1/500 x y z + + 167 167 2 2 17 + - 1/42 x - ---- x y - ---- y z - 1/350 y z + 1/700 x z + ---- y - 1/42 z + 7000 7000 2100 + + 3 3 3 3 229 + + 1/150 x y - 1/600 y z - 1/300 x z - 1/300 x z + ----- x z + 10500 + + 2 2 2 2 3 173 2 2 + - 1/490 y z + 1/980 x z + 1/150 y z - ---- - 1/350 y z + 1/700 x z + 6125 + + 3 2 2 191 2 211 2 211 2 3 + - 1/600 x y - 1/490 x y + ----- y + ---- x + ---- z + 1/150 x + 29400 7350 7350 + + 3 3 4 4 4 + + 1/300 y + 1/150 z - 1/150 z - 1/150 x + 1/600 y , COEFF(0, 2, -1) = + + 3 2 2 2 2 2 2 2 + 1/150 z + 1/490 x z + 1/350 x z - 1/245 x y - 1/350 y z - 9/196 x + + 2 2 3 187 4 2 311 2 + - 1/490 y z + 1/150 y z - ---- y z + 1/600 y - 1/350 y z + ----- y + 7000 29400 + + 3 2 4 2 47 29 + - 1/600 y z + 1/350 x y z + 1/100 x - 1/175 x y + ---- + ---- y + 6125 2100 + + 4 2 3 2 + - 1/150 z - 2/75 z + 2/75 z + 1/300 y , COEFF(1, 2, -1) = - 1/700 x y z + + 2 2 2 2 + - 1/700 x y z - 1/350 x y + 1/700 x y z + 1/350 x y - 1/500 x y z + + 167 167 2 2 17 + + 1/42 x + ---- x y - ---- y z - 1/350 y z - 1/700 x z + ---- y - 1/42 z + 7000 7000 2100 + + 3 3 3 3 229 + - 1/150 x y - 1/600 y z + 1/300 x z + 1/300 x z - ----- x z + 10500 + + 2 2 2 2 3 173 2 2 + - 1/490 y z + 1/980 x z + 1/150 y z - ---- - 1/350 y z + 1/700 x z + 6125 + + 3 2 2 191 2 211 2 211 2 3 + + 1/600 x y - 1/490 x y + ----- y + ---- x + ---- z - 1/150 x + 29400 7350 7350 + + 3 3 4 4 4 + + 1/300 y + 1/150 z - 1/150 z - 1/150 x + 1/600 y , COEFF(2, 2, -1) = + + 2 2 2 2 2 + - 1/350 x y z - 1/350 x y z + 1/175 x y - 1/350 x y z + 1/175 x y + + 19 47 107 2 2 + - 1/250 x y z - ---- x - ---- x y - ---- y z - 1/350 y z - 1/350 x z + 2100 5250 7000 + + 19 3 3 3 3 + - ---- y - 8/525 z + 1/300 x y - 1/600 y z + 1/150 x z - 1/600 x z + 2100 + + 107 2 2 2 2 3 2 + - ---- x z - 1/490 y z - 1/490 x z + 1/150 y z - 1/350 y z + 7000 + + 2 3 2 2 169 2 169 2 128 2 + - 1/350 x z + 1/300 x y + 1/245 x y - ----- y - ----- x + ---- z + 29400 29400 3675 + + 3 3 3 4 4 4 + + 1/300 x + 1/300 y + 1/150 z - 2/125 - 1/150 z + 1/600 x + 1/600 y , + + 2 2 47 2 + COEFF(-2, -2, 0) = 1/300 y + 1/175 y z - 1/175 x y z + ---- - 1/600 y + 6125 + + 3 17 2 33 2 2 2 3 + + 1/300 x y - ---- x y + 1/175 x z - --- z + 1/245 x y + 1/300 x y + 5250 980 + + 4 2 2 3 2 2 + + 1/300 x + 1/600 y - 1/600 x - 1/175 x y - 1/300 x - 1/245 x z + + 4 2 4 2 2 3 + + 1/100 z - 1/175 x y + 1/600 x - 1/245 y z - 1/300 y , + + 187 2 3 29 2 + COEFF(-1, -2, 0) = ---- x y + 1/350 x y + 1/600 x y - ---- y - 9/196 z + 7000 2100 + + 4 2 311 2 3 4 2 2 + + 1/600 y + 1/175 y z + ----- y + 1/150 x + 1/100 z + 1/490 x z + 29400 + + 4 2 3 2 3 + - 2/75 x - 1/150 x + 2/75 x - 1/300 y - 1/350 x y - 1/150 x y + + 2 47 2 2 2 2 2 + - 1/350 x y z + ---- - 1/490 x y - 1/245 y z + 1/350 x z , + 6125 + + 2 431 2 2 2 2 2 + COEFF(0, -2, 0) = 1/175 y z + ----- y - 1/245 y z - 1/245 x y + 29400 + + 3 41 2 2 292 2 4 + - 1/300 y - ---- y - 1/20 x - 1/20 z + ---- + 1/175 x y + 1/100 x + 2100 6125 + + 2 2 4 4 2 + + 1/245 x z + 1/600 y + 1/100 z , COEFF(1, -2, 0) = 1/350 x y + + 2 2 2 47 3 3 + - 1/245 y z + 1/350 x y z + ---- - 1/150 x + 2/75 x + 1/150 x y + 6125 + + 29 2 4 2 3 187 + - ---- y + 1/175 y z + 1/100 z - 1/350 x z - 1/300 y - ---- x y + 2100 7000 + + 4 2 2 2 2 311 2 3 + + 1/600 y - 1/490 x y - 9/196 z + 1/350 x y + ----- y - 1/600 x y + 29400 + + 2 2 2 4 3 + + 2/75 x + 1/490 x z - 1/150 x , COEFF(2, -2, 0) = - 1/300 x - 1/300 y + + 3 47 33 2 4 3 3 + - 1/300 x y + ---- + 1/300 y - --- z + 1/100 z + 1/300 x - 1/300 x y + 6125 980 + + 2 2 4 2 2 2 2 + + 1/245 x y + 1/600 x - 1/175 x y - 1/600 x - 1/245 x z + + 2 2 2 17 2 2 + + 1/175 x y z - 1/245 y z + ---- x y + 1/175 y z + 1/175 x y + 5250 + + 2 2 4 187 + - 1/600 y - 1/175 x z + 1/600 y , COEFF(-2, -1, 0) = ---- x y + 7000 + + 2 2 2 2 2 2 2 + + 1/350 x y - 1/350 x y z + 1/350 y z + 1/490 y z - 1/245 x z + + 2 3 2 2 311 2 2 4 + - 1/350 x y + 1/600 x y - 1/490 x y + ----- x + 1/175 x z + 1/600 x + 29400 + + 3 2 47 4 4 29 3 + - 1/150 x y + 2/75 y + ---- - 1/150 y + 1/100 z - ---- x + 1/150 y + 6125 2100 + + 2 3 4 + - 2/75 y - 9/196 z - 1/300 x , COEFF(-1, -1, 0) = - 1/150 x + + 2 2 3 3 151 2 2 4 + + 1/490 x z - 1/300 x y - 1/300 x y + ---- y + 1/350 y z - 1/150 y + 7350 + + 57 2 2 2 2 2 2 272 + - --- z + 1/700 x y + 1/700 x y - 1/700 x y z + 1/980 x y + ---- + 980 6125 + + 4 3 151 2 2 2 37 3 + + 1/100 z + 1/150 y + ---- x + 1/490 y z - ---- x + 1/150 x + 7350 1050 + + 2 289 37 4 61 2 + + 1/350 x z + ----- x y - ---- y, COEFF(0, -1, 0) = - 1/150 y - --- z + 10500 1050 980 + + 68 2 4 2 4 61 2 + + ---- y + 1/100 z + 1/350 y z + 1/100 x - 4/105 y - --- x + 3675 980 + + 2 2 2 2 2 2 2 3 592 + + 1/490 x y + 1/490 y z + 1/245 x z + 1/350 x y + 1/150 y + ----, + 6125 + + 37 2 3 3 3 + COEFF(1, -1, 0) = ---- x - 1/700 x y + 1/300 x y - 1/150 x + 1/300 x y + 1050 + + 272 2 2 289 2 2 4 2 2 + + ---- + 1/490 y z - ----- x y + 1/980 x y - 1/150 x + 1/490 x z + 6125 10500 + + 4 2 4 2 2 + - 1/150 y + 1/350 y z + 1/100 z + 1/700 x y - 1/350 x z + + 2 151 2 151 2 37 57 2 3 + + 1/700 x y z + ---- x + ---- y - ---- y - --- z + 1/150 y , + 7350 7350 1050 980 + + 187 4 3 2 2 + COEFF(2, -1, 0) = - ---- x y + 1/100 z - 1/600 x y - 1/175 x z + 2/75 y + 7000 + + 2 2 3 3 47 2 2 + + 1/490 y z + 1/150 y + 1/150 x y - 2/75 y + ---- - 1/245 x z + 6125 + + 2 2 2 2 3 2 4 + - 1/490 x y + 1/350 y z - 1/350 x y + 1/300 x - 1/350 x y + 1/600 x + + 2 4 311 2 2 29 + + 1/350 x y z - 1/150 y + ----- x - 9/196 z + ---- x, COEFF(-2, 0, 0) + 29400 2100 + + 4 2 2 2 4 2 2 + = 1/600 x + 1/245 y z + 1/175 x y + 1/100 z - 1/20 y + 1/175 x z + + 2 2 292 2 2 2 41 4 + - 1/245 x y + ---- - 1/245 x z - 1/20 z - ---- x + 1/100 y + 6125 2100 + + 431 2 3 592 2 + + ----- x - 1/300 x , COEFF(-1, 0, 0) = ---- - 4/105 x + 1/350 x z + 29400 6125 + + 68 2 2 4 2 2 2 2 4 + + ---- x + 1/350 x y + 1/100 y + 1/490 x y + 1/245 y z + 1/100 z + 3675 + + 2 2 61 2 4 61 2 3 + + 1/490 x z - --- z - 1/150 x - --- y + 1/150 x , COEFF(0, 0, 0) = + 980 980 + + 937 13 2 13 2 2 2 13 2 4 2 2 + ---- - --- z - --- x + 1/245 x y - --- y + 1/100 x + 1/245 y z + 6125 196 196 196 + + 2 2 4 4 68 2 2 + + 1/245 x z + 1/100 z + 1/100 y , COEFF(1, 0, 0) = ---- x - 1/350 x y + 3675 + + 61 2 4 2 2 3 2 592 + - --- y + 4/105 x - 1/150 x + 1/490 x z - 1/150 x - 1/350 x z + ---- + 980 6125 + + 4 2 2 61 2 2 2 4 + + 1/100 z + 1/245 y z - --- z + 1/490 x y + 1/100 y , COEFF(2, 0, 0) + 980 + + 292 4 2 2 2 2 4 + = ---- + 1/100 z - 1/175 x z - 1/20 z + 1/245 y z + 1/100 y + 6125 + + 2 3 2 2 4 2 2 2 + - 1/175 x y + 1/300 x - 1/245 x z + 1/600 x - 1/245 x y - 1/20 y + + 41 431 2 47 2 + + ---- x + ----- x , COEFF(-2, 1, 0) = ---- + 2/75 y + 1/350 x y z + 2100 29400 6125 + + 187 3 2 3 4 2 + - ---- x y - 1/600 x y + 1/350 x y + 1/150 x y + 1/100 z + 1/350 x y + 7000 + + 4 2 2 2 2 29 3 + + 1/600 x + 1/175 x z + 2/75 y + 1/490 y z - ---- x - 1/150 y + 2100 + + 2 2 2 4 2 2 3 2 + - 9/196 z - 1/245 x z - 1/150 y - 1/490 x y - 1/300 x - 1/350 y z + + 311 2 272 3 2 151 2 + + ----- x , COEFF(-1, 1, 0) = ---- + 1/300 x y + 1/700 x y + ---- x + 29400 6125 7350 + + 2 2 151 2 3 37 2 4 + + 1/490 y z + ---- y + 1/300 x y + ---- y - 1/700 x y - 1/150 x + 7350 1050 + + 2 2 2 4 2 2 2 + + 1/350 x z + 1/490 x z - 1/150 y + 1/980 x y + 1/700 x y z + + 4 2 37 289 57 2 3 + + 1/100 z - 1/350 y z - ---- x - ----- x y - --- z - 1/150 y + 1050 10500 980 + + 3 2 2 61 2 + + 1/150 x , COEFF(0, 1, 0) = - 1/350 x y - 1/350 y z - --- z + 980 + + 2 2 592 61 2 4 3 + + 1/490 y z + ---- - --- x - 1/150 y - 1/150 y + 4/105 y + 6125 980 + + 2 2 68 2 2 2 4 4 + + 1/245 x z + ---- y + 1/490 x y + 1/100 x + 1/100 z , + 3675 + + 3 2 2 37 + COEFF(1, 1, 0) = - 1/300 x y - 1/700 x y z - 1/350 x z + ---- x + 1050 + + 3 2 3 272 289 151 2 + - 1/150 x - 1/700 x y - 1/300 x y + ---- + ----- x y + ---- x + 6125 10500 7350 + + 2 37 2 151 2 2 2 4 + - 1/700 x y + ---- y - 1/350 y z + ---- y + 1/490 y z - 1/150 x + 1050 7350 + + 2 2 57 2 2 2 4 3 4 + + 1/490 x z - --- z + 1/980 x y - 1/150 y - 1/150 y + 1/100 z , + 980 + + 4 2 2 2 2 29 + COEFF(2, 1, 0) = 1/100 z - 9/196 z - 1/490 x y - 1/350 x y z + ---- x + 2100 + + 4 187 2 47 2 + - 1/150 y + ---- x y + 2/75 y - 1/350 x y + ---- - 1/175 x z + 7000 6125 + + 3 2 3 2 2 2 2 + - 1/150 x y + 1/350 x y - 1/150 y + 1/490 y z - 1/245 x z + + 2 3 3 2 311 2 4 + - 1/350 y z + 1/600 x y + 1/300 x + 2/75 y + ----- x + 1/600 x , + 29400 + + 2 2 2 2 2 + COEFF(-2, 2, 0) = 1/175 x y + 1/175 x y z + 1/245 x y + 1/175 x z + + 2 2 2 47 4 3 + - 1/175 x y - 1/245 y z + ---- + 1/600 y - 1/300 x - 1/300 y + 6125 + + 4 33 2 3 2 3 + + 1/100 z - --- z + 1/300 y - 1/600 x - 1/300 x y + 1/300 x + 980 + + 2 17 4 3 2 2 2 + - 1/600 y + ---- x y + 1/600 x - 1/300 x y - 1/175 y z - 1/245 x z , + 5250 + + 2 2 2 2 2 2 + COEFF(-1, 2, 0) = - 1/245 y z - 1/175 y z - 1/490 x y + 1/350 x z + + 47 2 2 2 3 311 2 + + ---- - 1/350 x y - 1/350 x y + 1/350 x y z + 1/150 x y + ----- y + 6125 29400 + + 187 4 3 4 2 2 29 + - ---- x y - 1/150 x - 1/600 x y + 1/600 y + 1/490 x z + ---- y + 7000 2100 + + 3 2 4 3 2 + + 1/150 x + 2/75 x + 1/100 z - 2/75 x + 1/300 y - 9/196 z , + + 3 292 4 2 2 2 + COEFF(0, 2, 0) = 1/300 y + ---- + 1/100 z - 1/20 x - 1/245 y z + 6125 + + 41 4 431 2 2 2 4 2 2 + + ---- y + 1/600 y + ----- y - 1/245 x y + 1/100 x + 1/245 x z + 2100 29400 + + 2 2 2 187 47 + - 1/175 y z - 1/175 x y - 1/20 z , COEFF(1, 2, 0) = ---- x y + ---- + 7000 6125 + + 2 2 2 2 2 2 + - 1/175 y z + 2/75 x - 1/490 x y - 1/350 x y z + 1/490 x z + + 3 2 3 3 4 3 + + 1/600 x y - 1/350 x y + 1/300 y - 1/150 x + 1/100 z - 1/150 x y + + 311 2 2 2 2 4 2 2 + + ----- y + 1/350 x y - 9/196 z - 1/350 x z + 1/600 y - 1/245 y z + 29400 + + 29 4 2 2 2 + + ---- y - 1/150 x + 2/75 x , COEFF(2, 2, 0) = - 1/175 y z + 1/175 x y + 2100 + + 2 2 2 3 3 3 47 + - 1/175 x z - 1/245 y z + 1/300 x y + 1/300 y + 1/300 x + ---- + 6125 + + 4 3 2 17 4 2 2 + + 1/600 x + 1/300 x y - 1/175 x y z - ---- x y + 1/100 z + 1/245 x y + 5250 + + 2 2 2 4 2 + - 1/600 y - 1/245 x z + 1/600 y + 1/175 x y - 1/300 y - 1/300 x + + 2 33 2 2 2 + - 1/600 x - --- z , COEFF(-2, -2, 1) = - 1/350 x y z - 1/350 x y z + 980 + + 2 2 2 19 47 + - 1/175 x y - 1/350 x y z - 1/175 x y + 1/250 x y z + ---- x - ---- x y + 2100 5250 + + 107 2 2 19 3 + - ---- y z + 1/350 y z + 1/350 x z + ---- y + 8/525 z + 1/300 x y + 7000 2100 + + 3 3 3 107 2 2 + - 1/600 y z + 1/150 x z - 1/600 x z - ---- x z - 1/490 y z + 7000 + + 2 2 3 2 2 3 + - 1/490 x z + 1/150 y z + 1/350 y z + 1/350 x z + 1/300 x y + + 2 2 169 2 169 2 128 2 3 3 + + 1/245 x y - ----- y - ----- x + ---- z - 1/300 x - 1/300 y + 29400 29400 3675 + + 3 4 4 4 + - 1/150 z - 2/125 - 1/150 z + 1/600 x + 1/600 y , COEFF(-1, -2, 1) = + + 2 2 2 2 2 + - 1/700 x y z - 1/700 x y z + 1/350 x y + 1/700 x y z - 1/350 x y + + 167 167 2 2 + + 1/500 x y z - 1/42 x + ---- x y - ---- y z + 1/350 y z + 1/700 x z + 7000 7000 + + 17 3 3 3 3 + - ---- y + 1/42 z - 1/150 x y - 1/600 y z + 1/300 x z + 1/300 x z + 2100 + + 229 2 2 2 2 3 173 2 + - ----- x z - 1/490 y z + 1/980 x z + 1/150 y z - ---- + 1/350 y z + 10500 6125 + + 2 3 2 2 191 2 211 2 211 2 + - 1/700 x z + 1/600 x y - 1/490 x y + ----- y + ---- x + ---- z + 29400 7350 7350 + + 3 3 3 4 4 4 + + 1/150 x - 1/300 y - 1/150 z - 1/150 z - 1/150 x + 1/600 y , + + 2 2 2 2 + COEFF(0, -2, 1) = 1/350 y z - 1/350 x z + 1/175 x y + 1/350 x y z + + 4 29 3 2 2 3 2 + - 1/150 z - ---- y - 1/300 y + 1/490 x z + 1/150 y z - 9/196 x + 2100 + + 2 2 4 2 2 2 47 311 2 + - 1/245 x y + 1/600 y - 1/490 y z + 2/75 z + ---- + ----- y + 6125 29400 + + 3 187 3 2 4 + - 1/150 z - ---- y z + 2/75 z - 1/600 y z + 1/350 y z + 1/100 x , + 7000 + + 2 2 2 2 + COEFF(1, -2, 1) = 1/700 x y z + 1/700 x y z + 1/350 x y + 1/700 x y z + + 2 167 167 2 + + 1/350 x y - 1/500 x y z + 1/42 x - ---- x y - ---- y z + 1/350 y z + 7000 7000 + + 2 17 3 3 3 + - 1/700 x z - ---- y + 1/42 z + 1/150 x y - 1/600 y z - 1/300 x z + 2100 + + 3 229 2 2 2 2 3 173 + - 1/300 x z + ----- x z - 1/490 y z + 1/980 x z + 1/150 y z - ---- + 10500 6125 + + 2 2 3 2 2 191 2 211 2 + + 1/350 y z - 1/700 x z - 1/600 x y - 1/490 x y + ----- y + ---- x + 29400 7350 + + 211 2 3 3 3 4 4 + + ---- z - 1/150 x - 1/300 y - 1/150 z - 1/150 z - 1/150 x + 7350 + + 4 2 2 2 + + 1/600 y , COEFF(2, -2, 1) = 1/350 x y z + 1/350 x y z - 1/175 x y + + 2 2 19 47 107 + - 1/350 x y z + 1/175 x y - 1/250 x y z - ---- x + ---- x y - ---- y z + 2100 5250 7000 + + 2 2 19 3 3 + + 1/350 y z - 1/350 x z + ---- y + 8/525 z - 1/300 x y - 1/600 y z + 2100 + + 3 3 107 2 2 2 2 + - 1/150 x z + 1/600 x z + ---- x z - 1/490 y z - 1/490 x z + 7000 + + 3 2 2 3 2 2 + + 1/150 y z + 1/350 y z + 1/350 x z - 1/300 x y + 1/245 x y + + 169 2 169 2 128 2 3 3 3 + - ----- y - ----- x + ---- z + 1/300 x - 1/300 y - 1/150 z - 2/125 + 29400 29400 3675 + + 4 4 4 2 + - 1/150 z + 1/600 x + 1/600 y , COEFF(-2, -1, 1) = - 1/700 x y z + + 2 2 2 2 + + 1/700 x y z - 1/350 x y - 1/700 x y z + 1/350 x y + 1/500 x y z + + 17 167 229 2 2 + - ---- x + ---- x y - ----- y z + 1/700 y z + 1/350 x z - 1/42 y + 2100 7000 10500 + + 3 3 3 3 167 + + 1/42 z + 1/600 x y + 1/300 y z + 1/150 x z - 1/600 x z - ---- x z + 7000 + + 2 2 2 2 3 173 2 2 + + 1/980 y z - 1/490 x z + 1/300 y z - ---- - 1/700 y z + 1/350 x z + 6125 + + 3 2 2 211 2 191 2 211 2 3 + - 1/150 x y - 1/490 x y + ---- y + ----- x + ---- z - 1/300 x + 7350 29400 7350 + + 3 3 4 4 4 + + 1/150 y - 1/150 z - 1/150 z + 1/600 x - 1/150 y , COEFF(-1, -1, 1) + + 2 2 2 2 + = - 1/1400 x y z + 1/1400 x y z + 1/700 x y + 1/1400 x y z + + 2 17 137 137 2 + + 1/700 x y + 1/1000 x y z - --- x + ---- x y - ---- y z + 1/700 y z + 525 5250 5250 + + 2 17 17 3 3 3 + + 1/700 x z - --- y + --- z - 1/300 x y + 1/300 y z + 1/300 x z + 525 525 + + 3 137 2 2 2 2 3 + + 1/300 x z - ---- x z + 1/980 y z + 1/980 x z + 1/300 y z + 5250 + + 2 23 2 3 2 2 83 2 + - 1/700 y z - ---- - 1/700 x z - 1/300 x y + 1/980 x y + ---- y + 6125 3675 + + 83 2 83 2 3 3 3 4 4 + + ---- x + ---- z + 1/150 x + 1/150 y - 1/150 z - 1/150 z - 1/150 x + 3675 3675 + + 4 57 2 2 4 + - 1/150 y , COEFF(0, -1, 1) = - --- x + 1/700 y z - 1/150 y + 980 + + 2 2 289 2 2 2 2 + + 1/490 x z - ----- y z + 1/490 x y - 1/700 y z + 1/700 x y z + 10500 + + 2 37 2 2 151 2 3 4 + - 1/350 x z + ---- z + 1/980 y z + ---- y + 1/300 y z + 1/100 x + 1050 7350 + + 3 151 2 272 37 3 4 2 + + 1/300 y z + ---- z + ---- - ---- y + 1/150 y - 1/150 z + 1/350 x y + 7350 6125 1050 + + 3 2 2 2 + - 1/150 z , COEFF(1, -1, 1) = 1/1400 x y z - 1/1400 x y z + 1/700 x y + + 2 2 17 137 137 + + 1/1400 x y z - 1/700 x y - 1/1000 x y z + --- x - ---- x y - ---- y z + 525 5250 5250 + + 2 2 17 17 3 3 + + 1/700 y z - 1/700 x z - --- y + --- z + 1/300 x y + 1/300 y z + 525 525 + + 3 3 137 2 2 2 2 + - 1/300 x z - 1/300 x z + ---- x z + 1/980 y z + 1/980 x z + 5250 + + 3 2 23 2 3 2 2 + + 1/300 y z - 1/700 y z - ---- - 1/700 x z + 1/300 x y + 1/980 x y + 6125 + + 83 2 83 2 83 2 3 3 3 4 + + ---- y + ---- x + ---- z - 1/150 x + 1/150 y - 1/150 z - 1/150 z + 3675 3675 3675 + + 4 4 2 2 + - 1/150 x - 1/150 y , COEFF(2, -1, 1) = 1/700 x y z - 1/700 x y z + + 2 2 2 17 167 + - 1/350 x y - 1/700 x y z - 1/350 x y - 1/500 x y z + ---- x - ---- x y + 2100 7000 + + 229 2 2 3 + - ----- y z + 1/700 y z - 1/350 x z - 1/42 y + 1/42 z - 1/600 x y + 10500 + + 3 3 3 167 2 2 + + 1/300 y z - 1/150 x z + 1/600 x z + ---- x z + 1/980 y z + 7000 + + 2 2 3 173 2 2 3 + - 1/490 x z + 1/300 y z - ---- - 1/700 y z + 1/350 x z + 1/150 x y + 6125 + + 2 2 211 2 191 2 211 2 3 3 + - 1/490 x y + ---- y + ----- x + ---- z + 1/300 x + 1/150 y + 7350 29400 7350 + + 3 4 4 4 + - 1/150 z - 1/150 z + 1/600 x - 1/150 y , COEFF(-2, 0, 1) = + + 2 47 2 3 2 2 2 + - 1/350 y z + ---- + 1/350 x y z - 1/600 x z + 2/75 z + 1/490 y z + 6125 + + 3 2 2 4 4 2 3 + - 1/150 z - 1/245 x y + 1/600 x + 1/100 y - 9/196 y + 1/150 x z + + 2 2 2 2 187 3 + + 1/350 x z + 1/350 x z - 1/490 x z + 2/75 z - ---- x z - 1/300 x + 7000 + + 2 29 311 2 4 3 + + 1/175 x y - ---- x + ----- x - 1/150 z , COEFF(-1, 0, 1) = 1/300 x z + 2100 29400 + + 151 2 151 2 3 3 4 272 4 + + ---- x + ---- z - 1/150 z + 1/300 x z + 1/100 y + ---- - 1/150 x + 7350 7350 6125 + + 2 2 2 57 2 2 37 2 2 + + 1/350 x y + 1/980 x z - --- y - 1/350 y z + ---- z + 1/490 y z + 980 1050 + + 2 2 2 4 2 3 + - 1/700 x z + 1/490 x y - 1/150 z + 1/700 x y z + 1/150 x + + 289 37 2 4 2 2 + - ----- x z - ---- x + 1/700 x z , COEFF(0, 0, 1) = 1/100 x + 1/490 x z + 10500 1050 + + 61 2 592 4 68 2 61 2 2 2 3 + - --- x + ---- - 1/150 z + ---- z - --- y + 1/245 x y - 1/150 z + 980 6125 3675 980 + + 2 2 2 4 2 + + 1/490 y z - 1/350 y z + 1/100 y + 4/105 z - 1/350 x z, + + 2 2 151 2 4 2 57 2 + COEFF(1, 0, 1) = 1/490 y z + ---- x - 1/150 z - 1/700 x z - --- y + 7350 980 + + 3 37 3 2 4 3 + - 1/300 x z + ---- z - 1/150 x - 1/700 x y z + 1/100 y - 1/300 x z + 1050 + + 4 2 151 2 289 2 37 + - 1/150 x - 1/350 x y + ---- z + ----- x z - 1/350 y z + ---- x + 7350 10500 1050 + + 2 272 2 2 3 2 2 + - 1/700 x z + ---- + 1/980 x z - 1/150 z + 1/490 x y , COEFF(2, 0, 1) + 6125 + + 2 2 2 187 2 2 2 + = - 1/350 x z - 1/490 x z + ---- x z - 1/245 x y - 1/175 x y + 7000 + + 2 2 47 3 2 4 3 + + 1/490 y z + ---- - 1/150 x z - 1/350 x y z + 1/600 x + 1/600 x z + 6125 + + 2 2 29 3 2 + + 2/75 z + 1/350 x z + ---- x + 2/75 z + 1/300 x - 9/196 y + 2100 + + 2 3 4 4 311 2 + - 1/350 y z - 1/150 z - 1/150 z + 1/100 y + ----- x , COEFF(-2, 1, 1) + 29400 + + 2 2 2 2 2 + = 1/700 x y z + 1/700 x y z + 1/350 x y + 1/700 x y z + 1/350 x y + + 17 167 229 2 2 + - 1/500 x y z - ---- x - ---- x y + ----- y z - 1/700 y z + 1/350 x z + 2100 7000 10500 + + 3 3 3 3 + + 1/42 y + 1/42 z - 1/600 x y - 1/300 y z + 1/150 x z - 1/600 x z + + 167 2 2 2 2 3 173 2 + - ---- x z + 1/980 y z - 1/490 x z - 1/300 y z - ---- - 1/700 y z + 7000 6125 + + 2 3 2 2 211 2 191 2 211 2 + + 1/350 x z + 1/150 x y - 1/490 x y + ---- y + ----- x + ---- z + 7350 29400 7350 + + 3 3 3 4 4 4 + - 1/300 x - 1/150 y - 1/150 z - 1/150 z + 1/600 x - 1/150 y , + + 2 2 2 + COEFF(-1, 1, 1) = 1/1400 x y z + 1/1400 x y z - 1/700 x y + + 2 2 17 137 137 + - 1/1400 x y z + 1/700 x y - 1/1000 x y z - --- x - ---- x y + ---- y z + 525 5250 5250 + + 2 2 17 17 3 3 + - 1/700 y z + 1/700 x z + --- y + --- z + 1/300 x y - 1/300 y z + 525 525 + + 3 3 137 2 2 2 2 + + 1/300 x z + 1/300 x z - ---- x z + 1/980 y z + 1/980 x z + 5250 + + 3 2 23 2 3 2 2 + - 1/300 y z - 1/700 y z - ---- - 1/700 x z + 1/300 x y + 1/980 x y + 6125 + + 83 2 83 2 83 2 3 3 3 4 + + ---- y + ---- x + ---- z + 1/150 x - 1/150 y - 1/150 z - 1/150 z + 3675 3675 3675 + + 4 4 2 3 + - 1/150 x - 1/150 y , COEFF(0, 1, 1) = - 1/350 x y - 1/300 y z + + 2 2 2 2 2 2 + - 1/350 x z + 1/490 x y - 1/700 x y z - 1/700 y z - 1/700 y z + + 57 2 272 4 3 3 37 289 + - --- x + ---- - 1/150 y - 1/150 y - 1/300 y z + ---- y + ----- y z + 980 6125 1050 10500 + + 151 2 2 2 4 37 4 2 2 + + ---- z + 1/490 x z - 1/150 z + ---- z + 1/100 x + 1/980 y z + 7350 1050 + + 151 2 3 2 2 + + ---- y - 1/150 z , COEFF(1, 1, 1) = - 1/1400 x y z - 1/1400 x y z + 7350 + + 2 2 2 17 + - 1/700 x y - 1/1400 x y z - 1/700 x y + 1/1000 x y z + --- x + 525 + + 137 137 2 2 17 17 + + ---- x y + ---- y z - 1/700 y z - 1/700 x z + --- y + --- z + 5250 5250 525 525 + + 3 3 3 3 137 + - 1/300 x y - 1/300 y z - 1/300 x z - 1/300 x z + ---- x z + 5250 + + 2 2 2 2 3 2 23 2 + + 1/980 y z + 1/980 x z - 1/300 y z - 1/700 y z - ---- - 1/700 x z + 6125 + + 3 2 2 83 2 83 2 83 2 3 + - 1/300 x y + 1/980 x y + ---- y + ---- x + ---- z - 1/150 x + 3675 3675 3675 + + 3 3 4 4 4 + - 1/150 y - 1/150 z - 1/150 z - 1/150 x - 1/150 y , COEFF(2, 1, 1) = + + 2 2 2 2 2 + - 1/700 x y z - 1/700 x y z + 1/350 x y + 1/700 x y z - 1/350 x y + + 17 167 229 2 2 + + 1/500 x y z + ---- x + ---- x y + ----- y z - 1/700 y z - 1/350 x z + 2100 7000 10500 + + 3 3 3 3 + + 1/42 y + 1/42 z + 1/600 x y - 1/300 y z - 1/150 x z + 1/600 x z + + 167 2 2 2 2 3 173 2 + + ---- x z + 1/980 y z - 1/490 x z - 1/300 y z - ---- - 1/700 y z + 7000 6125 + + 2 3 2 2 211 2 191 2 211 2 + + 1/350 x z - 1/150 x y - 1/490 x y + ---- y + ----- x + ---- z + 7350 29400 7350 + + 3 3 3 4 4 4 + + 1/300 x - 1/150 y - 1/150 z - 1/150 z + 1/600 x - 1/150 y , + + 2 2 2 2 + COEFF(-2, 2, 1) = 1/350 x y z - 1/350 x y z + 1/175 x y + 1/350 x y z + + 2 19 47 107 2 + - 1/175 x y - 1/250 x y z + ---- x + ---- x y + ---- y z - 1/350 y z + 2100 5250 7000 + + 2 19 3 3 3 + + 1/350 x z - ---- y + 8/525 z - 1/300 x y + 1/600 y z + 1/150 x z + 2100 + + 3 107 2 2 2 2 3 + - 1/600 x z - ---- x z - 1/490 y z - 1/490 x z - 1/150 y z + 7000 + + 2 2 3 2 2 169 2 169 2 + + 1/350 y z + 1/350 x z - 1/300 x y + 1/245 x y - ----- y - ----- x + 29400 29400 + + 128 2 3 3 3 4 4 + + ---- z - 1/300 x + 1/300 y - 1/150 z - 2/125 - 1/150 z + 1/600 x + 3675 + + 4 2 2 2 + + 1/600 y , COEFF(-1, 2, 1) = 1/700 x y z - 1/700 x y z - 1/350 x y + + 2 2 167 167 + - 1/700 x y z - 1/350 x y - 1/500 x y z - 1/42 x - ---- x y + ---- y z + 7000 7000 + + 2 2 17 3 3 + - 1/350 y z + 1/700 x z + ---- y + 1/42 z + 1/150 x y + 1/600 y z + 2100 + + 3 3 229 2 2 2 2 + + 1/300 x z + 1/300 x z - ----- x z - 1/490 y z + 1/980 x z + 10500 + + 3 173 2 2 3 2 2 + - 1/150 y z - ---- + 1/350 y z - 1/700 x z - 1/600 x y - 1/490 x y + 6125 + + 191 2 211 2 211 2 3 3 3 4 + + ----- y + ---- x + ---- z + 1/150 x + 1/300 y - 1/150 z - 1/150 z + 29400 7350 7350 + + 4 4 2 2 + - 1/150 x + 1/600 y , COEFF(0, 2, 1) = - 1/350 x y z - 1/350 x z + + 187 2 2 2 47 4 3 + + ---- y z - 1/175 x y + 1/490 x z + ---- - 1/150 z + 1/300 y + 7000 6125 + + 2 2 29 3 2 + - 9/196 x - 1/350 y z + ---- y + 1/600 y z + 2/75 z + 2/75 z + 2100 + + 3 3 2 2 4 2 2 4 + - 1/150 y z - 1/150 z - 1/245 x y + 1/100 x - 1/490 y z + 1/600 y + + 2 311 2 2 2 + + 1/350 y z + ----- y , COEFF(1, 2, 1) = - 1/700 x y z + 1/700 x y z + 29400 + + 2 2 2 167 + - 1/350 x y - 1/700 x y z + 1/350 x y + 1/500 x y z + 1/42 x + ---- x y + 7000 + + 167 2 2 17 3 + + ---- y z - 1/350 y z - 1/700 x z + ---- y + 1/42 z - 1/150 x y + 7000 2100 + + 3 3 3 229 2 2 + + 1/600 y z - 1/300 x z - 1/300 x z + ----- x z - 1/490 y z + 10500 + + 2 2 3 173 2 2 3 + + 1/980 x z - 1/150 y z - ---- + 1/350 y z - 1/700 x z + 1/600 x y + 6125 + + 2 2 191 2 211 2 211 2 3 3 + - 1/490 x y + ----- y + ---- x + ---- z - 1/150 x + 1/300 y + 29400 7350 7350 + + 3 4 4 4 + - 1/150 z - 1/150 z - 1/150 x + 1/600 y , COEFF(2, 2, 1) = + + 2 2 2 2 2 + - 1/350 x y z + 1/350 x y z + 1/175 x y + 1/350 x y z + 1/175 x y + + 19 47 107 2 2 + + 1/250 x y z - ---- x - ---- x y + ---- y z - 1/350 y z - 1/350 x z + 2100 5250 7000 + + 19 3 3 3 3 + - ---- y + 8/525 z + 1/300 x y + 1/600 y z - 1/150 x z + 1/600 x z + 2100 + + 107 2 2 2 2 3 2 + + ---- x z - 1/490 y z - 1/490 x z - 1/150 y z + 1/350 y z + 7000 + + 2 3 2 2 169 2 169 2 128 2 + + 1/350 x z + 1/300 x y + 1/245 x y - ----- y - ----- x + ---- z + 29400 29400 3675 + + 3 3 3 4 4 4 + + 1/300 x + 1/300 y - 1/150 z - 2/125 - 1/150 z + 1/600 x + 1/600 y , + + 2 2 2 2 + COEFF(-2, -2, 2) = 1/175 x y z - 1/175 x y z - 1/175 x y - 1/175 x y z + + 2 11 137 137 2 + - 1/175 x y + 1/125 x y z + --- x - ---- x y + ---- y z - 1/175 y z + 420 5250 5250 + + 2 11 11 3 3 3 + - 1/175 x z + --- y - --- z + 1/300 x y - 1/300 y z - 1/300 x z + 420 420 + + 3 137 2 2 2 2 3 + - 1/300 x z + ---- x z + 1/245 y z + 1/245 x z - 1/300 y z + 5250 + + 2 202 2 3 2 2 529 2 + + 1/175 y z + ---- + 1/175 x z + 1/300 x y + 1/245 x y - ----- y + 6125 29400 + + 529 2 529 2 3 3 3 4 + - ----- x - ----- z - 1/300 x - 1/300 y + 1/300 z + 1/600 z + 29400 29400 + + 4 4 2 2 + + 1/600 x + 1/600 y , COEFF(-1, -2, 2) = 1/350 x y z - 1/350 x y z + + 2 2 2 + + 1/350 x y + 1/350 x y z - 1/350 x y + 1/250 x y z - 8/525 x + + 107 47 2 2 19 19 + + ---- x y + ---- y z - 1/175 y z - 1/350 x z + ---- y - ---- z + 7000 5250 2100 2100 + + 3 3 3 3 107 + - 1/150 x y - 1/300 y z - 1/600 x z + 1/150 x z - ---- x z + 7000 + + 2 2 2 2 3 2 2 + + 1/245 y z - 1/490 x z - 1/300 y z + 1/175 y z - 1/350 x z + + 3 2 2 169 2 128 2 169 2 3 + + 1/600 x y - 1/490 x y - ----- y + ---- x - ----- z + 1/150 x + 29400 3675 29400 + + 3 3 4 4 4 + - 1/300 y + 1/300 z - 2/125 + 1/600 z - 1/150 x + 1/600 y , + + 3 4 2 2 2 + COEFF(0, -2, 2) = 1/300 y + 1/300 z + 1/100 x - 1/600 y - 1/245 x z + + 3 2 3 47 4 2 2 + - 1/300 y z - 1/175 x z - 1/300 y z + ---- + 1/600 y + 1/245 y z + 6125 + + 2 2 33 2 17 4 2 + - 1/245 x y - --- x + ---- y z + 1/600 z - 1/300 z + 1/175 x y z + 980 5250 + + 2 2 3 2 2 + - 1/600 z + 1/175 y z - 1/300 y + 1/175 x y - 1/175 y z , + + 2 2 2 2 + COEFF(1, -2, 2) = - 1/350 x y z + 1/350 x y z + 1/350 x y + 1/350 x y z + + 2 107 47 2 + + 1/350 x y - 1/250 x y z + 8/525 x - ---- x y + ---- y z - 1/175 y z + 7000 5250 + + 2 19 19 3 3 3 + + 1/350 x z + ---- y - ---- z + 1/150 x y - 1/300 y z + 1/600 x z + 2100 2100 + + 3 107 2 2 2 2 3 + - 1/150 x z + ---- x z + 1/245 y z - 1/490 x z - 1/300 y z + 7000 + + 2 2 3 2 2 169 2 128 2 + + 1/175 y z - 1/350 x z - 1/600 x y - 1/490 x y - ----- y + ---- x + 29400 3675 + + 169 2 3 3 3 4 4 + - ----- z - 1/150 x - 1/300 y + 1/300 z - 2/125 + 1/600 z - 1/150 x + 29400 + + 4 2 2 2 + + 1/600 y , COEFF(2, -2, 2) = - 1/175 x y z + 1/175 x y z - 1/175 x y + + 2 2 11 137 137 + - 1/175 x y z + 1/175 x y - 1/125 x y z - --- x + ---- x y + ---- y z + 420 5250 5250 + + 2 2 11 11 3 3 + - 1/175 y z + 1/175 x z + --- y - --- z - 1/300 x y - 1/300 y z + 420 420 + + 3 3 137 2 2 2 2 + + 1/300 x z + 1/300 x z - ---- x z + 1/245 y z + 1/245 x z + 5250 + + 3 2 202 2 3 2 2 + - 1/300 y z + 1/175 y z + ---- + 1/175 x z - 1/300 x y + 1/245 x y + 6125 + + 529 2 529 2 529 2 3 3 3 + - ----- y - ----- x - ----- z + 1/300 x - 1/300 y + 1/300 z + 29400 29400 29400 + + 4 4 4 2 + + 1/600 z + 1/600 x + 1/600 y , COEFF(-2, -1, 2) = 1/350 x y z + + 2 2 2 2 + + 1/350 x y z - 1/350 x y - 1/350 x y z + 1/350 x y + 1/250 x y z + + 19 107 107 2 2 + + ---- x + ---- x y - ---- y z - 1/350 y z - 1/175 x z - 8/525 y + 2100 7000 7000 + + 19 3 3 3 3 47 + - ---- z + 1/600 x y + 1/150 y z - 1/300 x z - 1/300 x z + ---- x z + 2100 5250 + + 2 2 2 2 3 2 2 + - 1/490 y z + 1/245 x z - 1/600 y z - 1/350 y z + 1/175 x z + + 3 2 2 128 2 169 2 169 2 3 + - 1/150 x y - 1/490 x y + ---- y - ----- x - ----- z - 1/300 x + 3675 29400 29400 + + 3 3 4 4 4 + + 1/150 y + 1/300 z - 2/125 + 1/600 z + 1/600 x - 1/150 y , + + 2 2 2 2 + COEFF(-1, -1, 2) = 1/700 x y z + 1/700 x y z + 1/700 x y + 1/700 x y z + + 2 229 167 2 + + 1/700 x y + 1/500 x y z - 1/42 x + ----- x y - ---- y z - 1/350 y z + 10500 7000 + + 2 17 3 3 3 + - 1/350 x z - 1/42 y + ---- z - 1/300 x y + 1/150 y z - 1/600 x z + 2100 + + 3 167 2 2 2 2 3 173 + + 1/150 x z - ---- x z - 1/490 y z - 1/490 x z - 1/600 y z - ---- + 7000 6125 + + 2 2 3 2 2 211 2 211 2 + - 1/350 y z - 1/350 x z - 1/300 x y + 1/980 x y + ---- y + ---- x + 7350 7350 + + 191 2 3 3 3 4 4 + + ----- z + 1/150 x + 1/150 y + 1/300 z + 1/600 z - 1/150 x + 29400 + + 4 3 29 4 3 + - 1/150 y , COEFF(0, -1, 2) = 1/300 z + ---- z - 1/150 y + 1/150 y + 2100 + + 187 311 2 47 2 3 4 + - ---- y z + ----- z + ---- + 2/75 y - 1/600 y z + 1/100 x + 7000 29400 6125 + + 2 2 2 2 2 + - 1/350 y z + 1/350 x y z - 2/75 y + 1/350 x y + 1/490 x y + + 2 2 2 2 4 2 2 + - 1/175 x z - 1/350 y z - 1/490 y z + 1/600 z - 1/245 x z + + 2 3 2 2 + - 9/196 x + 1/150 y z, COEFF(1, -1, 2) = - 1/700 x y z - 1/700 x y z + + 2 2 2 + + 1/700 x y + 1/700 x y z - 1/700 x y - 1/500 x y z + 1/42 x + + 229 167 2 2 17 + - ----- x y - ---- y z - 1/350 y z + 1/350 x z - 1/42 y + ---- z + 10500 7000 2100 + + 3 3 3 3 167 + + 1/300 x y + 1/150 y z + 1/600 x z - 1/150 x z + ---- x z + 7000 + + 2 2 2 2 3 173 2 2 + - 1/490 y z - 1/490 x z - 1/600 y z - ---- - 1/350 y z - 1/350 x z + 6125 + + 3 2 2 211 2 211 2 191 2 3 + + 1/300 x y + 1/980 x y + ---- y + ---- x + ----- z - 1/150 x + 7350 7350 29400 + + 3 3 4 4 4 + + 1/150 y + 1/300 z + 1/600 z - 1/150 x - 1/150 y , COEFF(2, -1, 2) = + + 2 2 2 2 2 + - 1/350 x y z - 1/350 x y z - 1/350 x y - 1/350 x y z - 1/350 x y + + 19 107 107 2 2 + - 1/250 x y z - ---- x - ---- x y - ---- y z - 1/350 y z + 1/175 x z + 2100 7000 7000 + + 19 3 3 3 3 + - 8/525 y - ---- z - 1/600 x y + 1/150 y z + 1/300 x z + 1/300 x z + 2100 + + 47 2 2 2 2 3 2 + - ---- x z - 1/490 y z + 1/245 x z - 1/600 y z - 1/350 y z + 5250 + + 2 3 2 2 128 2 169 2 169 2 + + 1/175 x z + 1/150 x y - 1/490 x y + ---- y - ----- x - ----- z + 3675 29400 29400 + + 3 3 3 4 4 4 + + 1/300 x + 1/150 y + 1/300 z - 2/125 + 1/600 z + 1/600 x - 1/150 y , + + 2 17 2 2 33 2 + COEFF(-2, 0, 2) = - 1/175 x z + ---- x z - 1/245 x y - --- y + 5250 980 + + 3 3 2 3 4 + - 1/300 x z + 1/300 z + 1/175 x z - 1/300 x + 1/600 x + 1/300 x + + 3 2 47 2 2 2 + - 1/300 x z - 1/600 x + ---- + 1/175 x y + 1/175 x y z - 1/600 z + 6125 + + 2 2 2 2 4 2 4 + + 1/245 x z - 1/300 z - 1/245 y z + 1/100 y - 1/175 y z + 1/600 z , + + 2 3 2 2 2 311 2 + COEFF(-1, 0, 2) = 1/350 x y + 1/150 x + 2/75 x - 1/490 x z + ----- z + 29400 + + 29 47 4 4 2 2 + + ---- z + ---- + 1/100 y + 1/600 z - 1/350 x z + 1/350 x y z + 2100 6125 + + 2 2 2 2 2 2 4 + + 1/490 x y - 1/245 y z - 1/350 x z - 1/175 y z - 1/150 x + + 3 3 187 2 3 + + 1/150 x z + 1/300 z - ---- x z - 9/196 y - 1/600 x z - 2/75 x, + 7000 + + 292 2 2 2 2 2 3 + COEFF(0, 0, 2) = ---- - 1/245 x z - 1/245 y z - 1/175 y z + 1/300 z + 6125 + + 2 2 2 2 2 41 431 2 + - 1/20 y + 1/245 x y - 1/20 x - 1/175 x z + ---- z + ----- z + 2100 29400 + + 4 4 4 2 + + 1/100 y + 1/100 x + 1/600 z , COEFF(1, 0, 2) = - 1/350 x y + + 3 187 47 3 2 2 + - 1/150 x z + ---- x z + ---- + 1/600 x z + 1/350 x z - 1/350 x z + 7000 6125 + + 2 2 2 2 2 2 311 2 + - 1/245 y z + 1/490 x y - 1/175 y z - 1/350 x y z + ----- z + 29400 + + 4 3 3 4 2 4 + + 2/75 x - 1/150 x - 1/150 x + 1/300 z + 1/600 z - 9/196 y + 1/100 y + + 2 2 2 29 2 + + 2/75 x - 1/490 x z + ---- z, COEFF(2, 0, 2) = - 1/175 x y + 2100 + + 3 17 4 3 47 + + 1/300 x z - ---- x z + 1/100 y + 1/300 x z - 1/300 x + ---- + 5250 6125 + + 4 4 3 2 2 2 2 + + 1/600 x + 1/600 z + 1/300 x - 1/600 z - 1/245 y z - 1/175 x y z + + 2 2 3 2 33 2 2 2 + - 1/245 x y + 1/300 z + 1/175 x z - --- y + 1/175 x z - 1/600 x + 980 + + 2 2 2 2 + - 1/175 y z - 1/300 z + 1/245 x z , COEFF(-2, 1, 2) = - 1/350 x y z + + 2 2 2 2 + + 1/350 x y z + 1/350 x y + 1/350 x y z + 1/350 x y - 1/250 x y z + + 19 107 107 2 2 + + ---- x - ---- x y + ---- y z + 1/350 y z - 1/175 x z + 8/525 y + 2100 7000 7000 + + 19 3 3 3 3 47 + - ---- z - 1/600 x y - 1/150 y z - 1/300 x z - 1/300 x z + ---- x z + 2100 5250 + + 2 2 2 2 3 2 2 + - 1/490 y z + 1/245 x z + 1/600 y z - 1/350 y z + 1/175 x z + + 3 2 2 128 2 169 2 169 2 3 + + 1/150 x y - 1/490 x y + ---- y - ----- x - ----- z - 1/300 x + 3675 29400 29400 + + 3 3 4 4 4 + - 1/150 y + 1/300 z - 2/125 + 1/600 z + 1/600 x - 1/150 y , + + 2 2 2 2 + COEFF(-1, 1, 2) = - 1/700 x y z + 1/700 x y z - 1/700 x y - 1/700 x y z + + 2 229 167 2 + + 1/700 x y - 1/500 x y z - 1/42 x - ----- x y + ---- y z + 1/350 y z + 10500 7000 + + 2 17 3 3 3 + - 1/350 x z + 1/42 y + ---- z + 1/300 x y - 1/150 y z - 1/600 x z + 2100 + + 3 167 2 2 2 2 3 173 + + 1/150 x z - ---- x z - 1/490 y z - 1/490 x z + 1/600 y z - ---- + 7000 6125 + + 2 2 3 2 2 211 2 211 2 + - 1/350 y z - 1/350 x z + 1/300 x y + 1/980 x y + ---- y + ---- x + 7350 7350 + + 191 2 3 3 3 4 4 + + ----- z + 1/150 x - 1/150 y + 1/300 z + 1/600 z - 1/150 x + 29400 + + 4 3 2 187 + - 1/150 y , COEFF(0, 1, 2) = - 1/150 y + 2/75 y - 1/350 x y + ---- y z + 7000 + + 3 4 47 2 2 2 2 + + 1/300 z + 1/600 z + ---- - 1/350 x y z - 9/196 x + 1/490 x y + 6125 + + 2 2 29 4 311 2 4 3 + - 1/490 y z + ---- z - 1/150 y + ----- z + 1/100 x + 1/600 y z + 2100 29400 + + 2 2 2 2 2 2 + + 1/350 y z + 2/75 y - 1/245 x z - 1/350 y z - 1/175 x z + + 3 2 2 2 + - 1/150 y z, COEFF(1, 1, 2) = 1/700 x y z - 1/700 x y z - 1/700 x y + + 2 2 229 167 + - 1/700 x y z - 1/700 x y + 1/500 x y z + 1/42 x + ----- x y + ---- y z + 10500 7000 + + 2 2 17 3 3 + + 1/350 y z + 1/350 x z + 1/42 y + ---- z - 1/300 x y - 1/150 y z + 2100 + + 3 3 167 2 2 2 2 + + 1/600 x z - 1/150 x z + ---- x z - 1/490 y z - 1/490 x z + 7000 + + 3 173 2 2 3 2 2 + + 1/600 y z - ---- - 1/350 y z - 1/350 x z - 1/300 x y + 1/980 x y + 6125 + + 211 2 211 2 191 2 3 3 3 4 + + ---- y + ---- x + ----- z - 1/150 x - 1/150 y + 1/300 z + 1/600 z + 7350 7350 29400 + + 4 4 2 2 + - 1/150 x - 1/150 y , COEFF(2, 1, 2) = 1/350 x y z - 1/350 x y z + + 2 2 2 19 107 + + 1/350 x y + 1/350 x y z - 1/350 x y + 1/250 x y z - ---- x + ---- x y + 2100 7000 + + 107 2 2 19 3 + + ---- y z + 1/350 y z + 1/175 x z + 8/525 y - ---- z + 1/600 x y + 7000 2100 + + 3 3 3 47 2 2 + - 1/150 y z + 1/300 x z + 1/300 x z - ---- x z - 1/490 y z + 5250 + + 2 2 3 2 2 3 + + 1/245 x z + 1/600 y z - 1/350 y z + 1/175 x z - 1/150 x y + + 2 2 128 2 169 2 169 2 3 3 + - 1/490 x y + ---- y - ----- x - ----- z + 1/300 x - 1/150 y + 3675 29400 29400 + + 3 4 4 4 + + 1/300 z - 2/125 + 1/600 z + 1/600 x - 1/150 y , COEFF(-2, 2, 2) = + + 2 2 2 2 2 + - 1/175 x y z - 1/175 x y z + 1/175 x y + 1/175 x y z - 1/175 x y + + 11 137 137 2 2 + - 1/125 x y z + --- x + ---- x y - ---- y z + 1/175 y z - 1/175 x z + 420 5250 5250 + + 11 11 3 3 3 3 + - --- y - --- z - 1/300 x y + 1/300 y z - 1/300 x z - 1/300 x z + 420 420 + + 137 2 2 2 2 3 2 202 + + ---- x z + 1/245 y z + 1/245 x z + 1/300 y z + 1/175 y z + ---- + 5250 6125 + + 2 3 2 2 529 2 529 2 529 2 + + 1/175 x z - 1/300 x y + 1/245 x y - ----- y - ----- x - ----- z + 29400 29400 29400 + + 3 3 3 4 4 4 + - 1/300 x + 1/300 y + 1/300 z + 1/600 z + 1/600 x + 1/600 y , + + 2 2 2 2 + COEFF(-1, 2, 2) = - 1/350 x y z - 1/350 x y z - 1/350 x y - 1/350 x y z + + 2 107 47 2 + - 1/350 x y - 1/250 x y z - 8/525 x - ---- x y - ---- y z + 1/175 y z + 7000 5250 + + 2 19 19 3 3 3 + - 1/350 x z - ---- y - ---- z + 1/150 x y + 1/300 y z - 1/600 x z + 2100 2100 + + 3 107 2 2 2 2 3 + + 1/150 x z - ---- x z + 1/245 y z - 1/490 x z + 1/300 y z + 7000 + + 2 2 3 2 2 169 2 128 2 + + 1/175 y z - 1/350 x z - 1/600 x y - 1/490 x y - ----- y + ---- x + 29400 3675 + + 169 2 3 3 3 4 4 + - ----- z + 1/150 x + 1/300 y + 1/300 z - 2/125 + 1/600 z - 1/150 x + 29400 + + 4 2 2 3 + + 1/600 y , COEFF(0, 2, 2) = - 1/245 x y + 1/300 y z - 1/300 y + + 2 3 2 2 2 4 + - 1/175 x y + 1/300 y - 1/600 z - 1/300 z - 1/245 x z + 1/600 z + + 4 2 3 17 4 47 3 + + 1/100 x - 1/600 y + 1/300 z - ---- y z + 1/600 y + ---- + 1/300 y z + 5250 6125 + + 2 2 2 2 33 2 + - 1/175 x y z + 1/175 y z - 1/175 x z + 1/175 y z - --- x + 980 + + 2 2 2 2 2 + + 1/245 y z , COEFF(1, 2, 2) = 1/350 x y z + 1/350 x y z - 1/350 x y + + 2 2 107 47 + - 1/350 x y z + 1/350 x y + 1/250 x y z + 8/525 x + ---- x y - ---- y z + 7000 5250 + + 2 2 19 19 3 3 + + 1/175 y z + 1/350 x z - ---- y - ---- z - 1/150 x y + 1/300 y z + 2100 2100 + + 3 3 107 2 2 2 2 + + 1/600 x z - 1/150 x z + ---- x z + 1/245 y z - 1/490 x z + 7000 + + 3 2 2 3 2 2 + + 1/300 y z + 1/175 y z - 1/350 x z + 1/600 x y - 1/490 x y + + 169 2 128 2 169 2 3 3 3 + - ----- y + ---- x - ----- z - 1/150 x + 1/300 y + 1/300 z - 2/125 + 29400 3675 29400 + + 4 4 4 2 + + 1/600 z - 1/150 x + 1/600 y , COEFF(2, 2, 2) = 1/175 x y z + + 2 2 2 2 + + 1/175 x y z + 1/175 x y + 1/175 x y z + 1/175 x y + 1/125 x y z + + 11 137 137 2 2 11 11 + - --- x - ---- x y - ---- y z + 1/175 y z + 1/175 x z - --- y - --- z + 420 5250 5250 420 420 + + 3 3 3 3 137 + + 1/300 x y + 1/300 y z + 1/300 x z + 1/300 x z - ---- x z + 5250 + + 2 2 2 2 3 2 202 2 + + 1/245 y z + 1/245 x z + 1/300 y z + 1/175 y z + ---- + 1/175 x z + 6125 + + 3 2 2 529 2 529 2 529 2 3 + + 1/300 x y + 1/245 x y - ----- y - ----- x - ----- z + 1/300 x + 29400 29400 29400 + + 3 3 4 4 4 + + 1/300 y + 1/300 z + 1/600 z + 1/600 x + 1/600 y ] + +> print_coeffs__lc_of_data(%, "coeffs_I->coeff_", "fp", +> "3d.coeffs/3d.cube.order4.smooth0/coeffs-I.compute.c"); +bytes used=748409820, alloc=7076592, time=77.87 +bytes used=749410248, alloc=7076592, time=77.95 +bytes used=750410436, alloc=7076592, time=78.01 +bytes used=751410816, alloc=7076592, time=78.08 +bytes used=752411484, alloc=7076592, time=78.15 +bytes 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used=1197231728, alloc=7076592, time=154.32 +bytes used=1198231888, alloc=7076592, time=154.37 +bytes used=1199232104, alloc=7076592, time=154.48 +bytes used=1200232500, alloc=7076592, time=154.63 +bytes used=1201232708, alloc=7076592, time=154.76 +bytes used=1202232860, alloc=7076592, time=154.86 +> +# d/dx +> simplify( diff(interp_3d_cube_order4_smooth0,x) ); +bytes used=1203233224, alloc=7076592, time=154.95 +bytes used=1204233620, alloc=7076592, time=155.03 +bytes used=1205233888, alloc=7076592, time=155.10 +bytes used=1206234120, alloc=7076592, time=155.17 +bytes used=1207234424, alloc=7076592, time=155.25 +bytes used=1208234728, alloc=7076592, time=155.32 +bytes used=1209235068, alloc=7076592, time=155.40 +bytes used=1210235316, alloc=7076592, time=155.47 +bytes used=1211236380, alloc=7076592, time=155.55 +bytes used=1212236572, alloc=7076592, time=155.63 +bytes used=1213237568, alloc=7076592, time=155.71 +bytes used=1214238068, alloc=7076592, time=155.78 +bytes used=1215238324, alloc=7076592, time=155.85 +bytes used=1216238644, alloc=7076592, time=155.94 +bytes used=1217238876, alloc=7076592, time=156.02 +bytes used=1218239360, alloc=7076592, time=156.09 +bytes used=1219239524, alloc=7076592, time=156.17 +bytes used=1220239916, alloc=7076592, time=156.25 +bytes used=1221240140, alloc=7076592, time=156.34 +bytes used=1222240688, alloc=7076592, time=156.43 +bytes used=1223240904, alloc=7076592, time=156.51 +bytes used=1224241028, alloc=7076592, time=156.60 +bytes used=1225241208, alloc=7076592, time=156.67 +bytes used=1226241332, alloc=7076592, time=156.76 +bytes used=1227241512, alloc=7076592, time=156.85 +bytes used=1228241752, alloc=7076592, time=156.95 +bytes used=1229241972, alloc=7076592, time=157.04 +bytes used=1230242208, alloc=7076592, time=157.14 +bytes used=1231242380, alloc=7076592, time=157.22 +bytes used=1232242872, alloc=7076592, time=157.30 +- 1/175 x y z DATA(2, 2, -1) - 1/175 x y z DATA(-2, 1, -2) + + - 1/350 x y z DATA(2, 1, -1) + 1/350 x y z DATA(-1, 2, -1) + + 19 + + 1/350 x y z DATA(1, 2, -1) + ---- DATA(-2, -2, 1) + 2100 + + - 1/175 x y z DATA(0, 1, 2) + 2/175 x y z DATA(0, -2, 2) + + - 1/175 x y z DATA(0, -2, -1) - 2/175 x y z DATA(2, 2, -2) + + + 1/1000 y z DATA(1, -1, -1) + 1/175 x y z DATA(1, 2, -2) + + - 1/350 x y z DATA(-1, -2, -1) + 1/42 DATA(1, -2, 1) + + - 1/175 x y z DATA(-2, -2, 1) - 1/1000 y z DATA(-1, -1, -1) + + - 2/175 x y z DATA(-2, 2, -2) + 1/350 x y z DATA(1, -2, 1) + + - 1/175 x y z DATA(0, 2, 1) + 1/175 x y z DATA(-2, 2, 1) + + + 1/350 x y z DATA(1, 1, -2) - 1/175 x y z DATA(2, 1, -2) + + + 2/75 DATA(1, -2, 0) + 1/350 x y z DATA(-1, 1, -2) + + + 1/350 x y z DATA(-2, 1, 1) + 1/350 x y z DATA(0, -1, 1) + + - 1/350 x y z DATA(-2, -1, 1) + 1/350 x y z DATA(-1, -2, 1) + + 29 + - 1/700 x y z DATA(1, 1, 1) + ---- DATA(2, 0, -1) - 1/42 DATA(-1, -2, 1) + 2100 + + + 1/350 x y z DATA(2, -1, -1) - 1/175 x y z DATA(2, -2, 1) + + + 1/350 x y z DATA(0, 1, -1) - 2/175 x y z DATA(-2, -2, 2) + + - 1/175 x y z DATA(2, -1, 2) - 2/175 x y z DATA(0, -2, -2) + + - 1/350 x y z DATA(0, -1, -1) - 1/1000 y z DATA(1, 1, -1) + + - 1/350 x y z DATA(1, 1, 2) - 1/350 x y z DATA(-1, 2, 1) + + + 1/175 x y z DATA(-2, -2, -1) - 1/175 x y z DATA(0, -1, -2) + + + 1/175 x y z DATA(-1, -2, 2) + 1/175 x y z DATA(1, -2, 2) + + + 1/175 x y z DATA(0, 2, -1) + 1/1000 y z DATA(-1, 1, -1) + + + 1/175 x y z DATA(-1, 2, -2) + 1/175 x y z DATA(2, 2, 1) + + 17 + - 1/1000 y z DATA(-1, 1, 1) - ---- DATA(-2, -1, 1) + 2100 + + - 1/350 x y z DATA(0, 1, 1) + 1/350 x y z DATA(2, 1, 1) + + - 1/350 x y z DATA(1, 2, 1) - 1/300 DATA(2, -2, 0) + + - 2/175 x y z DATA(0, 2, 2) + 2/175 x y z DATA(0, 2, -2) + + 19 + - ---- DATA(2, -2, 1) + 1/175 x y z DATA(0, -1, 2) + 2100 + + - 1/350 x y z DATA(2, -1, 1) + 1/175 x y z DATA(0, 1, -2) + + 211 + - 1/175 x y z DATA(1, 2, 2) + ---- x DATA(-1, -2, -1) + 3675 + + 29 + - ---- DATA(-2, 0, 1) - 1/700 x y z DATA(1, -1, -1) + 2100 + + - 1/700 x y z DATA(-1, 1, 1) - 1/175 x y z DATA(-1, 2, 2) + + - 2/175 x y z DATA(2, -2, 2) - 1/175 x y z DATA(-2, 2, -1) + + 29 + - ---- DATA(-2, -1, 0) + 2/175 x y z DATA(2, 2, 2) + 4/75 x DATA(1, 2, 0) + 2100 + + - 1/350 x y z DATA(1, -2, -1) - 1/350 x y z DATA(-2, 1, -1) + + + 1/175 x y z DATA(2, 1, 2) + 1/175 x y z DATA(2, -2, -1) + + 191 + + 1/350 x y z DATA(-2, -1, -1) + ----- x DATA(-2, 1, 1) + 14700 + + 166 211 + + ---- x DATA(1, 1, 1) + 2/75 DATA(1, 0, 2) + ---- x DATA(-1, 2, -1) + 3675 3675 + + 191 169 211 + + ----- x DATA(2, 1, -1) - ----- x DATA(2, 2, -1) + ---- x DATA(1, 2, -1) + 14700 14700 3675 + + 211 + + ---- x DATA(-1, -1, 2) - 1/700 x y z DATA(-1, -1, -1) + 3675 + + 211 37 529 + + ---- x DATA(1, 2, 1) - ---- DATA(-1, 0, -1) - ----- x DATA(2, 2, -2) + 3675 1050 14700 + + 191 211 + + ----- x DATA(2, -1, 1) + ---- x DATA(-1, 2, 1) + 14700 3675 + + 169 211 256 + - ----- x DATA(-2, -2, -1) + ---- x DATA(1, 1, -2) + ---- x DATA(1, 2, -2) + 14700 3675 3675 + + 311 529 + + ----- x DATA(2, -1, 0) - ----- x DATA(-2, 2, -2) + 14700 14700 + + 169 17 + - ----- x DATA(-2, 2, 1) + ---- DATA(2, -1, -1) + 4/105 DATA(1, 0, 0) + 14700 2100 + + 37 37 17 + + ---- DATA(1, 1, 0) + ---- DATA(1, 0, 1) + --- DATA(1, 1, 1) + 1050 1050 525 + + - 1/300 x DATA(2, 2, 0) + 1/175 x z DATA(-2, -1, 1) + + - 1/175 x z DATA(2, -1, -1) + 1/175 x z DATA(2, -2, 1) + + 2 + + 1/175 x z DATA(-2, -2, 1) - 1/350 y z DATA(-1, 2, 2) + + 2 + - 1/175 x z DATA(2, 0, -1) - 1/175 y z DATA(2, -2, 2) + + - 1/350 x z DATA(1, -2, 1) - 1/175 x z DATA(0, 2, 1) + + 2 + - 1/350 x z DATA(-1, -2, 1) + 1/700 y z DATA(-2, 1, -1) + + - 1/175 x z DATA(2, 2, -1) - 1/175 x z DATA(2, 1, -1) + + + 1/350 x z DATA(-1, 2, -1) - 1/350 x z DATA(1, 1, 1) + + 2 + + 1/175 x z DATA(-2, 1, 1) + 1/700 y z DATA(1, -1, 0) + + 2 + + 1/175 x z DATA(-1, 1, -2) + 1/350 y z DATA(2, 1, 2) + + - 2/175 x z DATA(2, 1, -2) + 1/175 x y z DATA(2, -1, -2) + + 2 + + 1/175 x z DATA(2, 2, 1) + 1/700 y z DATA(1, -2, -1) + + + 1/175 x z DATA(-1, 2, -2) + 1/175 x z DATA(1, 1, -2) + + + 1/175 x z DATA(-2, 2, 1) - 2/175 x z DATA(-2, 2, -2) + + + 1/350 x z DATA(-1, -2, -1) + 1/175 x z DATA(1, 2, -2) + + - 2/175 x z DATA(-2, 1, -2) + 1/350 x z DATA(1, 2, -1) + + 2 + + 1/175 y z DATA(-2, -2, 2) - 1/350 x z DATA(-1, 2, 1) + + 2 + - 1/700 y z DATA(-2, -1, -1) - 2/175 x z DATA(2, 2, -2) + + - 1/350 x z DATA(1, 2, 1) - 1/175 x z DATA(-1, -1, 2) + + 19 + + 1/175 x z DATA(2, 1, 1) + 1/175 x z DATA(2, -1, 1) - ---- DATA(2, 2, -1) + 2100 + + - 1/350 x y DATA(1, 1, 2) - 1/175 x y DATA(2, -1, 2) + + 2 2 + - 1/700 y z DATA(1, -1, 2) + 1/350 y z DATA(2, -2, -1) + + - 1/175 x z DATA(-2, -2, -1) - 1/175 x y DATA(-2, -1, -1) + + 2 + + 1/350 x y DATA(1, -1, 2) - 1/1400 y z DATA(-1, -1, 1) + + 2 + - 1/350 x y DATA(-1, 1, 2) + 1/175 y z DATA(-2, -2, -2) + + 2 2 + - 1/175 y z DATA(-2, 2, 2) + 1/175 y z DATA(-2, 2, 0) + + 2 + - 1/350 y z DATA(-2, 1, 2) - 2/175 x y DATA(2, -2, -1) + + + 1/175 x y DATA(2, 1, 2) + 1/350 x y DATA(1, -1, 0) + + + 1/175 x y DATA(-2, 1, -1) + 1/175 x y DATA(1, -2, -1) + + 3 + - 2/175 x y DATA(-2, -2, 2) + 1/300 z DATA(1, -1, -1) + + 2 + + 1/350 x y DATA(1, -1, -1) - 1/1400 y z DATA(1, 1, -1) + + 2 + + 1/700 y z DATA(-1, 1, 0) + 1/350 x y DATA(-1, -1, -1) + + + 1/350 x y DATA(-1, -1, 0) - 1/175 x y DATA(1, 2, 2) + + + 2/175 x y DATA(2, 2, 2) + 2/175 x y DATA(-2, 2, -1) + + 2 + + 1/1400 y z DATA(1, -1, 1) - 2/175 x y DATA(2, -2, 2) + + - 1/175 x y DATA(-1, 2, 2) + 1/175 x y z DATA(0, -2, 1) + + + 1/350 x y DATA(-1, -1, 1) + 1/350 x y DATA(1, -1, 1) + + - 1/350 x y DATA(-1, 1, 0) - 1/350 x y DATA(1, 1, -1) + + 2 + + 1/1400 y z DATA(-1, 1, -1) - 1/350 x y DATA(-1, 1, -1) + + - 1/350 x y DATA(-1, 1, 1) + 1/175 x y DATA(-1, -2, 0) + + 2 + + 2/175 x y DATA(-2, 2, 0) + 1/1400 y z DATA(-1, 1, 1) + + + 2/175 x y DATA(-2, 2, 2) - 2/175 x y DATA(-2, -2, -2) + + + 1/175 x y DATA(-2, 1, 2) - 2/175 x y DATA(2, -2, -2) + + - 1/175 x y DATA(-2, -1, -2) - 2/175 x y DATA(-2, -2, 0) + + - 1/175 x y DATA(-2, -1, 2) + 1/350 x y DATA(1, -1, -2) + + - 1/175 x y DATA(2, -1, -2) + 1/350 x y DATA(-1, -1, 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--- DATA(-1, 1, 1) + ---- DATA(1, 0, -1) - --- DATA(-1, 1, -1) + 525 1050 525 + + 17 37 17 + + --- DATA(1, 1, -1) - ---- DATA(-1, -1, 0) - --- DATA(-1, -1, -1) + 525 1050 525 + + 17 11 19 + + --- DATA(1, -1, -1) - --- DATA(2, -2, 2) + ---- DATA(-2, 2, -1) + 525 420 2100 + + 11 2 2 + - --- DATA(2, 2, 2) - 1/350 y z DATA(2, -1, 2) - 1/700 y z DATA(1, 1, 2) + 420 + + 2 2 + + 1/700 y z DATA(-1, 1, 2) - 1/700 y z DATA(1, -1, 2) + + 2 2 + - 1/350 y z DATA(2, -2, -1) - 1/700 y z DATA(-2, -1, -1) + + 2 2 + - 1/175 y z DATA(-2, -2, 2) - 1/700 y z DATA(1, -2, -1) + + 2 2 + - 1/700 y z DATA(-2, 1, -1) - 1/350 y z DATA(2, 1, 2) + + 2 2 + - 1/350 y z DATA(-1, 2, 2) + 1/175 y z DATA(2, -2, 2) + + 2 2 + + 1/350 y z DATA(-2, 2, -1) - 1/245 x z DATA(1, 0, -2) + + 2 2 + + 1/175 y z DATA(2, 2, 2) + 1/245 x z DATA(-1, 0, 0) + + 2 + + 1/350 y z DATA(1, 2, 2) - 1/500 y z DATA(1, 1, -2) + + + 1/300 DATA(-2, -2, 0) - 2/75 DATA(-1, -2, 0) + 1/250 y z DATA(-1, 2, -2) + + + 1/250 y z DATA(2, 2, 1) + 1/500 y z 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1/1000 y z DATA(1, -1, 1) + + 2 2 + - 1/200 x y DATA(2, -1, 2) - 1/100 x y DATA(1, 1, 2) + + 2 2 + + 1/100 x y DATA(-1, 1, 2) + 1/100 x y DATA(1, -1, 2) + + 2 2 + - 1/100 x y DATA(2, -2, -1) + 1/200 x y DATA(-2, -1, -1) + + 2 2 + + 1/100 x y DATA(-2, -2, 2) - 1/200 x y DATA(-2, 1, -1) + + 2 2 + + 1/100 x y DATA(1, -1, 0) + 1/200 x y DATA(2, 1, 2) + + 2 2 + + 1/50 x y DATA(-1, 2, 2) - 1/100 x y DATA(2, -2, 2) + + 2 2 + - 1/100 x y DATA(-2, 2, -1) + 1/100 x y DATA(2, 2, 2) + + 2 2 + - 1/50 x y DATA(1, 2, 2) - 1/100 x y DATA(-1, -1, 0) + + 2 2 + - 1/100 x y DATA(-1, -1, -1) + 1/100 x y DATA(1, -1, -1) + + 2 2 + + 1/100 x y DATA(-1, 1, 1) + 1/100 x y DATA(-1, 1, -1) + + 2 2 + - 1/100 x y DATA(1, 1, -1) + 1/100 x y DATA(-1, 1, 0) + + 2 + - 1/250 y z DATA(-2, 2, 1) + 1/350 y z DATA(-1, -2, -2) + + 2 2 + - 1/700 y z DATA(-1, -1, -2) + 1/350 y z DATA(2, -1, -2) + + 2 2 + + 1/350 y z DATA(-2, 0, 1) - 1/350 y z DATA(1, 0, 2) + + 2 2 + - 1/700 y z DATA(-1, 0, -1) - 1/700 y z DATA(1, 0, 1) + + 2 2 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1/350 y z DATA(-2, -1, -2) + + 2 2 + + 1/700 y z DATA(1, -1, -2) - 1/175 y z DATA(2, -2, -2) + + 2 2 + - 1/350 y z DATA(1, -2, -2) + 2/245 x y DATA(2, 2, -2) + + 2 + + 1/500 y z DATA(2, -1, -1) - 1/245 x y DATA(2, -1, 1) + + 2 2 + - 1/245 x y DATA(-1, 2, 1) + 2/245 x y DATA(-2, -2, -1) + + 2 2 + - 1/245 x y DATA(-1, -2, 2) - 1/245 x y DATA(1, -2, 2) + + 2 2 + - 1/245 x y DATA(2, -1, 2) + 1/490 x y DATA(1, 1, 2) + + 2 2 + + 1/490 x y DATA(-1, 1, 2) + 1/490 x y DATA(1, -1, 2) + + - 1/250 y z DATA(2, -2, 1) + 1/250 y z DATA(-2, -2, 1) + + 2 2 + + 2/245 x y DATA(2, -2, -1) - 1/245 x y DATA(-2, -1, -1) + + 2 2 + - 1/245 x y DATA(-2, 1, 1) + 1/490 x y DATA(1, 1, 1) + + 2 2 + - 1/245 x y DATA(-1, 2, -1) - 1/245 x y DATA(2, 1, -1) + + 2 19 + + 2/245 x y DATA(2, 2, -1) + ---- DATA(-2, 1, 2) + 2100 + + 2 2 + - 1/245 x y DATA(1, 2, -1) - 1/245 x y DATA(-2, 1, -2) + + 2 2 + - 1/245 x y DATA(1, 2, -2) - 1/245 x y DATA(-1, -2, -1) + + 2 + - 1/245 x y DATA(2, -1, 0) - 1/500 y z DATA(-2, 1, 1) + + 2 + 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DATA(0, 2, 1) + + + 1/175 x y DATA(1, -2, 1) + 1/175 x y DATA(1, -2, 0) + + 19 + + 1/300 DATA(-2, 0, -2) - ---- DATA(2, -1, -2) - 1/175 x z DATA(-2, 0, -1) + 2100 + + + 1/175 x z DATA(0, 1, -1) - 2/75 DATA(-1, 0, -2) + 2/75 DATA(1, 0, -2) + + + 2/175 x z DATA(2, 0, 2) - 1/175 x z DATA(-1, 0, 2) + + + 1/175 x z DATA(2, 0, 1) + 2/175 x z DATA(-2, 0, 2) + + + 2/175 x y DATA(0, -2, 1) + +bytes used=1233279872, alloc=7076592, time=157.39 +> coeffs_as_lc_of_data(%, posn_list_3d_size5); +bytes used=1234329228, alloc=7076592, time=157.47 +bytes used=1235452120, alloc=7076592, time=157.57 +bytes used=1236657932, alloc=7076592, time=157.66 +bytes used=1237840240, alloc=7076592, time=157.75 +bytes used=1239003288, alloc=7076592, time=157.85 +bytes used=1240144484, alloc=7076592, time=157.95 +bytes used=1241268368, alloc=7076592, time=158.04 +bytes used=1242374732, alloc=7207640, time=158.14 +bytes used=1243458624, alloc=7338688, time=158.24 +bytes used=1244523576, alloc=7469736, time=158.34 +bytes used=1245566020, alloc=7535260, time=158.44 +bytes used=1246587288, alloc=7731832, time=158.54 +bytes used=1247588540, alloc=7862880, time=158.65 +bytes used=1248643528, alloc=8124976, time=158.75 +bytes used=1249643824, alloc=8124976, time=158.86 +bytes used=1250644156, alloc=8256024, time=158.97 +bytes used=1251719300, alloc=8387072, time=159.07 +bytes used=1252719420, alloc=8518120, time=159.18 +bytes used=1253825000, alloc=8583644, time=159.29 +bytes used=1254825144, alloc=8780216, time=159.40 +bytes used=1255890320, alloc=9042312, time=159.52 +bytes used=1256953968, alloc=9042312, time=159.64 +bytes used=1258042888, alloc=9369932, time=159.76 +bytes used=1259090664, alloc=9632028, time=159.89 +bytes used=1260092420, alloc=9763076, time=160.02 +bytes used=1261124868, alloc=9828600, time=160.15 +bytes used=1262125020, alloc=9959648, time=160.27 +bytes used=1263169764, alloc=10156220, time=160.41 +bytes used=1264230644, alloc=10549364, time=160.54 +bytes used=1265280944, alloc=11139080, time=160.67 +bytes used=1266313364, alloc=11532224, time=160.80 +bytes used=1267363516, alloc=11990892, time=160.95 +bytes used=1268366544, alloc=12318512, time=161.10 +bytes used=1269386424, alloc=12777180, time=161.25 +bytes used=1270418808, alloc=13235848, time=161.41 +bytes used=1271419096, alloc=13628992, time=161.56 +bytes used=1272460368, alloc=14218708, time=161.65 +bytes used=1273507928, alloc=14218708, time=161.72 +bytes used=1274555320, alloc=14218708, time=161.79 +bytes used=1275602968, alloc=14218708, time=161.86 +bytes used=1276650472, alloc=14218708, time=161.93 +bytes used=1277698032, alloc=14218708, time=162.00 + 2 3 2 +[COEFF(-2, -2, -2) = - 1/125 y z - 1/175 y + 1/300 y - 2/175 x y + 1/100 x y + + 2 3 2 137 529 + + 2/245 x z - 2/175 x z + 1/300 z - 1/175 z - ---- z - ----- x + 5250 14700 + + 2 2 2 2 + - 1/100 x + 2/245 x y + 1/175 y z + 2/175 x y z + 1/100 x z + + 2 11 3 137 + + 1/175 y z + --- + 1/150 x - ---- y, COEFF(-1, -2, -2) = - 1/250 y z + 420 5250 + + 3 2 3 2 256 + - 2/75 x + 1/175 x z - 1/245 x y + 1/600 z - 1/350 y + ---- x + 3675 + + 2 2 107 2 2 + - 1/245 x z - 1/50 x z + ---- z + 1/175 x y + 1/350 y z + 1/50 x + 7000 + + 3 107 2 2 + + 1/600 y + ---- y - 1/175 x y z - 8/525 + 1/350 y z - 1/50 x y + 7000 + + 2 2 + - 1/350 z , COEFF(0, -2, -2) = 2/175 x z - 2/245 x y + 2/175 x y + + 3 33 2 2 + + 1/25 x - --- x - 2/175 x y z - 2/245 x z , COEFF(1, -2, -2) = 1/50 x z + 490 + + 107 3 256 2 2 + - ---- z - 1/600 y + ---- x - 1/350 y z + 1/50 x y - 1/175 x y z + 7000 3675 + + 3 2 2 2 2 + - 1/600 z - 1/50 x + 1/175 x y + 1/350 z - 1/245 x z + 1/350 y + + 3 2 2 + + 8/525 - 2/75 x - 1/245 x y + 1/175 x z + 1/250 y z - 1/350 y z + + 107 2 2 2 + - ---- y, COEFF(2, -2, -2) = - 1/175 y z - 1/100 x z + 2/245 x y + 7000 + + 529 2 11 2 137 2 + - ----- x + 1/100 x - --- + 2/245 x z - 2/175 x y + ---- y - 1/175 y z + 14700 420 5250 + + 2 3 2 137 2 + + 2/175 x y z - 1/100 x y - 1/300 z + 1/175 z + ---- z + 1/175 y + 5250 + + 3 3 + + 1/150 x - 1/300 y + 1/125 y z - 2/175 x z, COEFF(-2, -1, -2) = + + 107 2 169 2 2 + - 2/175 x z + ---- y + 1/350 y z - ----- x + 1/350 y - 1/100 x + 7000 14700 + + 3 2 19 2 47 2 + - 1/150 y + 2/245 x z + ---- + 1/100 x z - ---- z - 1/350 y z + 2100 5250 + + 2 3 3 + - 1/175 x y - 1/245 x y + 1/175 x y z - 1/250 y z + 1/150 x + 1/300 z + + 2 2 2 + + 1/200 x y - 1/175 z , COEFF(-1, -1, -2) = 1/350 x y - 1/350 z + + 3 3 2 2 + - 1/500 y z + 1/600 z - 2/75 x + 1/700 y z + 1/490 x y + 1/175 x z + + 2 2 167 229 2 3 211 + - 1/50 x z + 1/700 y + ---- z + ----- y - 1/245 x z - 1/300 y + ---- x + 7000 10500 3675 + + 2 2 2 + - 1/42 - 1/350 x y z + 1/50 x - 1/700 y z - 1/100 x y, COEFF(0, -1, -2) + + 3 2 2 + = 1/25 x + 1/245 x y + 1/175 x y - 2/245 x z + 2/175 x z - 9/98 x + + 2 + - 1/175 x y z, COEFF(1, -1, -2) = 1/500 y z + 1/175 x z - 1/245 x z + + 2 3 2 2 211 + + 1/490 x y - 1/600 z - 1/700 y - 1/50 x + ---- x + 1/350 x y + 3675 + + 2 2 3 2 + - 1/700 y z - 1/350 x y z + 1/350 z + 1/300 y + 1/42 + 1/700 y z + + 2 229 167 3 2 + + 1/100 x y - ----- y - ---- z - 2/75 x + 1/50 x z, COEFF(2, -1, -2) = + 10500 7000 + + 2 2 3 3 + - 1/350 y z + 1/350 y z + 1/250 y z - 2/175 x z + 1/150 y - 1/300 z + + 2 47 3 107 2 2 + - 1/245 x y + ---- z + 1/150 x - ---- y - 1/100 x z - 1/200 x y + 5250 7000 + + 169 2 2 2 + - ----- x + 1/175 x y z - 1/350 y - 1/175 x y + 2/245 x z + 1/175 z + 14700 + + 2 19 17 2 + + 1/100 x - ----, COEFF(-2, 0, -2) = 1/300 - ---- z + 2/245 x z + 2100 5250 + + 3 2 2 2 + + 1/150 x - 1/300 x - 1/175 y z - 2/175 x z - 2/245 x y + 1/175 y + + 3 2 2 2 + + 1/300 z - 1/100 x + 1/100 x z - 1/175 z , COEFF(-1, 0, -2) = + + 2 3 2 3 187 2 + - 1/350 z - 2/75 x - 1/350 y z + 1/600 z - 2/75 + ---- z + 1/350 y + 7000 + + 2 2 2 2 + + 1/245 x y - 1/245 x z + 1/175 x z - 1/50 x z + 4/75 x + 1/50 x , + + 3 2 2 + COEFF(0, 0, -2) = - 1/10 x + 1/25 x + 2/175 x z - 2/245 x z + 2/245 x y , + + 2 2 2 + COEFF(1, 0, -2) = - 1/50 x + 1/175 x z + 1/50 x z + 2/75 + 1/350 y z + + 3 187 2 2 2 3 + - 1/600 z - ---- z + 4/75 x + 1/245 x y + 1/350 z - 1/350 y - 2/75 x + 7000 + + 2 2 3 2 + - 1/245 x z , COEFF(2, 0, -2) = - 1/100 x z - 1/300 z + 1/175 y z + + 2 2 17 2 2 + + 2/245 x z - 1/175 y - 1/300 - 2/175 x z + ---- z + 1/100 x + 1/175 z + 5250 + + 2 3 3 2 + - 1/300 x - 2/245 x y + 1/150 x , COEFF(-2, 1, -2) = 1/300 z - 1/175 z + + 2 2 107 2 + - 1/100 x + 1/250 y z + 1/175 x y - 1/200 x y - ---- y - 1/245 x y + 7000 + + 19 3 2 2 + + ---- - 1/175 x y z - 2/175 x z + 1/150 y + 1/350 y - 1/350 y z + 2100 + + 169 2 47 2 2 3 + - ----- x + 2/245 x z - ---- z + 1/100 x z - 1/350 y z + 1/150 x , + 14700 5250 + + 2 2 229 + COEFF(-1, 1, -2) = - 1/245 x z + 1/490 x y + 1/175 x z - ----- y + 10500 + + 2 2 2 3 3 + - 1/50 x z + 1/100 x y - 1/700 y z - 1/350 x y + 1/300 y - 2/75 x + + 3 167 2 2 + + 1/600 z + ---- z + 1/50 x - 1/42 + 1/700 y + 1/500 y z + 1/350 x y z + 7000 + + 2 2 211 2 + - 1/700 y z - 1/350 z + ---- x, COEFF(0, 1, -2) = 1/245 x y + 3675 + + 3 2 + + 1/175 x y z - 1/175 x y - 9/98 x + 1/25 x + 2/175 x z - 2/245 x z , + + 3 2 2 3 + COEFF(1, 1, -2) = - 1/600 z + 1/42 + 1/50 x z - 1/700 y - 1/300 y + + 229 2 2 2 + - 1/350 x y + 1/350 x y z + ----- y - 1/100 x y + 1/700 y z - 1/245 x z + 10500 + + 2 2 3 2 167 + + 1/490 x y + 1/175 x z + 1/350 z - 2/75 x - 1/50 x - ---- z + 7000 + + 2 211 19 2 + + 1/700 y z + ---- x - 1/500 y z, COEFF(2, 1, -2) = - ---- - 1/100 x z + 3675 2100 + + 2 3 2 2 2 + - 1/350 y + 1/150 x + 1/350 y z + 1/200 x y - 1/175 x y z + 1/175 z + + 107 3 47 2 3 + + ---- y + 1/175 x y - 1/300 z + ---- z - 2/175 x z + 1/100 x - 1/150 y + 7000 5250 + + 2 2 2 169 + + 1/350 y z + 2/245 x z - 1/245 x y - 1/250 y z - ----- x, + 14700 + + 3 2 3 2 + COEFF(-2, 2, -2) = 1/150 x - 1/175 y z - 1/300 y + 2/245 x y + + 2 3 137 2 2 + + 1/100 x z + 1/300 z - ---- z + 2/245 x z - 2/175 x y z - 1/175 y + 5250 + + 11 137 2 2 + + --- + 2/175 x y + ---- y - 1/175 z - 1/100 x y - 2/175 x z + 420 5250 + + 2 529 2 2 + + 1/175 y z - ----- x + 1/125 y z - 1/100 x , COEFF(-1, 2, -2) = 1/50 x + 14700 + + 3 2 2 2 3 + + 1/600 z - 1/350 z - 1/350 y - 1/175 x y - 1/50 x z - 2/75 x + + 2 107 2 2 + + 1/50 x y + 1/175 x z + ---- z + 1/250 y z - 1/245 x z - 1/245 x y + 7000 + + 256 3 2 2 + + ---- x - 1/600 y + 1/175 x y z + 1/350 y z - 1/350 y z - 8/525 + 3675 + + 107 2 + - ---- y, COEFF(0, 2, -2) = 2/175 x y z - 2/175 x y - 2/245 x y + 7000 + + 2 3 33 3 + - 2/245 x z + 2/175 x z + 1/25 x - --- x, COEFF(1, 2, -2) = - 1/600 z + 490 + + 2 107 2 3 256 2 + + 1/50 x z + 8/525 - ---- z + 1/350 y z - 2/75 x + ---- x + 1/350 z + 7000 3675 + + 2 2 2 + - 1/175 x y - 1/50 x + 1/175 x y z + 1/350 y - 1/245 x z - 1/250 y z + + 3 2 107 2 2 + + 1/175 x z + 1/600 y - 1/245 x y + ---- y - 1/50 x y - 1/350 y z, + 7000 + + 3 2 3 3 11 + COEFF(2, 2, -2) = 1/150 x + 2/245 x y + 1/300 y - 1/300 z - --- + 420 + + 2 137 2 2 + + 1/175 z - 2/175 x z + ---- z + 1/175 y + 1/100 x y - 2/175 x y z + 5250 + + 2 2 137 2 + - 1/125 y z + 2/245 x z + 1/175 y z - ---- y + 2/175 x y + 1/100 x + 5250 + + 529 2 2 47 + - ----- x - 1/175 y z - 1/100 x z, COEFF(-2, -2, -1) = - ---- y + 14700 5250 + + 2 2 169 2 + - 1/245 x z - 1/175 x z + 1/175 x y z + 1/350 y z - ----- x - 1/175 y + 14700 + + 2 3 2 2 2 2 + + 1/350 z + 1/150 x - 1/100 x + 1/100 x y + 2/245 x y + 1/200 x z + + 2 107 19 3 3 + - 1/350 y z - 2/175 x y + ---- z + ---- - 1/250 y z - 1/150 z + 1/300 y + 7000 2100 + + 211 2 229 2 2 + , COEFF(-1, -2, -1) = ---- x + 1/700 y z + ----- z + 1/50 x - 1/350 y + 3675 10500 + + 2 2 3 3 + - 1/50 x y + 1/490 x z - 1/42 + 1/350 x z - 1/300 z + 1/600 y + + 3 2 2 + - 2/75 x - 1/500 y z + 1/175 x y - 1/100 x z - 1/700 y z - 1/350 x y z + + 167 2 2 + + ---- y + 1/700 z - 1/245 x y , COEFF(0, -2, -1) = 2/175 x y + 7000 + + 2 2 3 + - 1/175 x y z - 2/245 x y + 1/245 x z + 1/175 x z - 9/98 x + 1/25 x , + + 2 2 + COEFF(1, -2, -1) = - 1/350 x y z - 1/700 z + 1/42 - 1/245 x y + + 2 229 2 2 + + 1/490 x z - ----- z - 1/50 x + 1/700 y z + 1/500 y z + 1/350 x z + 10500 + + 167 3 2 2 2 + - ---- y + 1/175 x y - 1/600 y + 1/100 x z - 1/700 y z + 1/50 x y + 7000 + + 2 3 3 211 2 + + 1/350 y + 1/300 z - 2/75 x + ---- x, COEFF(2, -2, -1) = 2/245 x y + 3675 + + 2 2 3 2 + - 1/245 x z + 1/175 x y z + 1/350 y z + 1/150 z + 1/100 x - 2/175 x y + + 47 2 169 3 107 + + ---- y - 1/350 y z - ----- x + 1/250 y z + 1/150 x - ---- z + 5250 14700 7000 + + 2 3 2 19 2 2 + - 1/100 x y - 1/300 y + 1/175 y - ---- - 1/350 z - 1/200 x z + 2100 + + 2 167 2 + - 1/175 x z, COEFF(-2, -1, -1) = - 1/100 x + ---- z + 1/200 x z + 7000 + + 2 2 167 3 + - 1/500 y z - 1/700 y z + 1/350 z - 1/175 x y + ---- y - 1/150 y + 7000 + + 2 191 3 17 2 + - 1/700 y z + 1/350 x y z + ----- x + 1/150 x - ---- + 1/200 x y + 14700 2100 + + 2 2 3 2 + - 1/175 x z + 1/350 y - 1/245 x z - 1/150 z - 1/245 x y , + + 2 17 137 3 + COEFF(-1, -1, -1) = - 1/1400 y z - --- - 1/1000 y z + ---- y - 1/300 z + 525 5250 + + 2 2 2 2 + - 1/700 x y z + 1/50 x + 1/700 z + 1/490 x y + 1/350 x y - 1/1400 y z + + 2 3 3 2 137 + - 1/100 x y - 1/300 y - 2/75 x - 1/100 x z + ---- z + 1/350 x z + 5250 + + 166 2 2 + + ---- x + 1/490 x z + 1/700 y , COEFF(0, -1, -1) = 1/175 x z + 1/175 x y + 3675 + + 57 3 2 2 + - --- x + 1/25 x + 1/245 x z + 1/245 x y - 1/350 x y z, + 490 + + 3 2 3 + COEFF(1, -1, -1) = 1/300 y + 1/350 x z - 1/700 z + 1/1000 y z + 1/300 z + + 2 2 2 2 2 + - 1/50 x + 1/490 x z + 1/490 x y + 1/100 x z + 1/1400 y z + 1/350 x y + + 3 166 2 2 17 137 137 + - 2/75 x + ---- x + 1/100 x y - 1/700 y + --- - ---- y - ---- z + 3675 525 5250 5250 + + 2 191 + - 1/700 x y z + 1/1400 y z, COEFF(2, -1, -1) = - 1/175 x z + ----- x + 14700 + + 2 2 2 2 + - 1/245 x y - 1/175 x y - 1/350 y - 1/200 x y + 1/500 y z + 1/100 x + + 167 3 3 2 2 + - ---- y + 1/150 z + 1/150 x - 1/350 z + 1/350 x y z + 1/700 y z + 7000 + + 2 167 2 2 17 3 + - 1/245 x z - ---- z + 1/700 y z - 1/200 x z + ---- + 1/150 y , + 7000 2100 + + 311 2 2 2 2 + COEFF(-2, 0, -1) = ----- x + 1/175 y + 1/200 x z - 1/245 x z + 1/350 z + 14700 + + 3 2 2 2 3 + + 1/150 x - 1/350 y z - 1/175 x z - 1/100 x - 2/245 x y - 1/150 z + + 187 29 2 2 + + ---- z - ----, COEFF(-1, 0, -1) = 1/350 x z - 1/100 x z + 1/700 z + 7000 2100 + + 2 37 2 151 2 289 2 + + 1/490 x z - ---- - 1/700 y z + ---- x + 1/245 x y + ----- z + 1/50 x + 1050 3675 10500 + + 3 3 2 + - 2/75 x - 1/300 z + 1/350 y , + + 2 3 2 61 + COEFF(0, 0, -1) = 2/245 x y + 1/25 x + 1/245 x z - --- x + 1/175 x z, + 490 + + 3 2 289 2 3 + COEFF(1, 0, -1) = 1/300 z - 1/50 x - ----- z + 1/490 x z - 2/75 x + 10500 + + 37 2 2 2 2 + + 1/350 x z + ---- + 1/245 x y - 1/350 y + 1/100 x z + 1/700 y z + 1050 + + 2 151 2 3 + - 1/700 z + ---- x, COEFF(2, 0, -1) = - 2/245 x y - 1/175 x z + 1/150 x + 3675 + + 2 2 2 187 29 2 + + 1/100 x - 1/175 y - 1/245 x z - ---- z + ---- - 1/200 x z + 7000 2100 + + 2 2 3 311 167 + + 1/350 y z - 1/350 z + 1/150 z + ----- x, COEFF(-2, 1, -1) = ---- z + 14700 7000 + + 2 3 2 2 + - 1/245 x z + 1/150 y - 1/175 x z + 1/700 y z - 1/700 y z + + 2 17 2 3 191 2 + - 1/350 x y z - 1/100 x - ---- + 1/350 y + 1/150 x + ----- x + 1/350 z + 2100 14700 + + 3 2 2 167 + + 1/500 y z - 1/150 z + 1/200 x z - 1/200 x y - ---- y + 1/175 x y + 7000 + + 2 2 2 + - 1/245 x y , COEFF(-1, 1, -1) = 1/490 x z + 1/700 z + 1/1000 y z + + 3 166 3 2 2 2 + - 2/75 x + ---- x - 1/300 z + 1/700 y - 1/100 x z + 1/490 x y + 3675 + + 3 137 2 2 + + 1/350 x z + 1/300 y + 1/700 x y z + ---- z - 1/1400 y z + 1/100 x y + 5250 + + 2 2 17 137 + + 1/50 x + 1/1400 y z - 1/350 x y - --- - ---- y, COEFF(0, 1, -1) = + 525 5250 + + 57 2 2 3 + - --- x + 1/245 x z + 1/245 x y + 1/25 x + 1/175 x z + 1/350 x y z + 490 + + 2 2 3 2 + - 1/175 x y, COEFF(1, 1, -1) = 1/1400 y z - 1/700 y - 1/300 y - 1/50 x + + 2 2 2 17 2 + + 1/700 x y z + 1/100 x z - 1/100 x y + 1/490 x z + --- - 1/700 z + 525 + + 2 3 166 137 + + 1/490 x y - 2/75 x + ---- x + ---- y - 1/1000 y z + 1/350 x z + 3675 5250 + + 3 2 137 + + 1/300 z - 1/350 x y - 1/1400 y z - ---- z, COEFF(2, 1, -1) = + 5250 + + 2 2 2 2 3 2 + 1/700 y z + 1/200 x y - 1/700 y z - 1/245 x y + 1/150 x - 1/200 x z + + 2 191 167 + - 1/350 x y z - 1/350 z + ----- x - ---- z - 1/175 x z - 1/500 y z + 14700 7000 + + 3 3 2 17 167 2 + - 1/150 y + 1/150 z + 1/100 x + ---- + ---- y + 1/175 x y - 1/350 y + 2100 7000 + + 2 169 2 2 + - 1/245 x z , COEFF(-2, 2, -1) = - ----- x - 1/175 y + 1/350 z + 14700 + + 2 2 2 107 2 + + 1/350 y z - 1/100 x - 1/100 x y + ---- z - 1/175 x y z + 1/200 x z + 7000 + + 47 3 2 2 19 + + ---- y - 1/300 y - 1/245 x z + 2/245 x y + ---- - 1/175 x z + 5250 2100 + + 3 2 3 + + 1/150 x + 1/250 y z + 2/175 x y + 1/350 y z - 1/150 z , + + 2 2 2 + COEFF(-1, 2, -1) = 1/50 x - 1/42 + 1/700 y z + 1/350 x z - 1/350 y + + 2 2 2 2 229 + - 1/245 x y + 1/490 x z - 1/100 x z + 1/50 x y + 1/500 y z + ----- z + 10500 + + 211 3 167 3 + + 1/350 x y z - 1/175 x y + ---- x - 1/600 y - ---- y - 2/75 x + 3675 7000 + + 3 2 2 3 + - 1/300 z + 1/700 y z + 1/700 z , COEFF(0, 2, -1) = 1/25 x - 9/98 x + + 2 2 + - 2/175 x y + 1/175 x z - 2/245 x y + 1/175 x y z + 1/245 x z , + + 2 167 + COEFF(1, 2, -1) = - 1/700 y z + 1/350 x y z + 1/350 x z + ---- y + 7000 + + 2 2 2 3 + - 1/175 x y + 1/42 - 1/700 z + 1/100 x z - 1/50 x - 2/75 x + + 2 2 2 211 229 2 + + 1/490 x z + 1/350 y - 1/700 y z + ---- x - ----- z - 1/50 x y + 3675 10500 + + 2 3 3 + - 1/245 x y + 1/600 y - 1/500 y z + 1/300 z , COEFF(2, 2, -1) = + + 2 2 3 2 19 2 + 1/100 x y + 1/175 y + 1/150 z - 1/200 x z - ---- - 1/350 y z + 2100 + + 3 47 2 2 + + 2/175 x y + 1/150 x - ---- y + 2/245 x y - 1/245 x z - 1/175 x y z + 5250 + + 2 2 169 3 2 + - 1/175 x z + 1/100 x - 1/350 z - ----- x + 1/300 y - 1/350 y z + 14700 + + 107 17 + - 1/250 y z - ---- z, COEFF(-2, -2, 0) = - 2/175 x y - ---- y - 1/300 x + 7000 5250 + + 2 2 2 3 2 2 + - 2/245 x z - 1/175 y z + 1/100 x y + 1/300 y + 1/175 z - 1/175 y + + 3 2 2 + + 1/300 + 1/150 x - 1/100 x + 2/245 x y , COEFF(-1, -2, 0) = + + 2 2 2 2 + - 1/245 x y - 1/350 y z + 1/245 x z + 4/75 x + 1/175 x y - 1/350 y + + 2 187 3 2 2 3 + - 1/50 x y + ---- y - 2/75 x + 1/350 z + 1/50 x - 2/75 + 1/600 y , + 7000 + + 2 2 3 + COEFF(0, -2, 0) = 2/245 x z - 1/10 x + 2/175 x y - 2/245 x y + 1/25 x , + + 2 2 2 2 3 + COEFF(1, -2, 0) = - 1/50 x - 1/350 z - 1/245 x y + 1/350 y z - 1/600 y + + 2 2 2 3 187 + + 1/245 x z + 4/75 x + 1/50 x y + 1/350 y + 2/75 - 2/75 x - ---- y + 7000 + + 2 2 3 + + 1/175 x y, COEFF(2, -2, 0) = 1/100 x - 1/175 z - 1/300 y - 2/175 x y + + 17 2 2 2 3 2 + + ---- y + 1/175 y z + 2/245 x y - 2/245 x z + 1/150 x + 1/175 y + 5250 + + 2 3 2 + - 1/300 x - 1/300 - 1/100 x y, COEFF(-2, -1, 0) = - 1/150 y + 1/175 z + + 2 2 2 311 2 29 + - 1/100 x + 1/200 x y - 1/245 x y + ----- x - 1/350 y z - ---- + 14700 2100 + + 187 2 2 3 + + ---- y + 1/350 y - 1/175 x y - 2/245 x z + 1/150 x , COEFF(-1, -1, 0) + 7000 + + 2 2 2 2 2 3 + = 1/245 x z - 1/100 x y + 1/50 x + 1/490 x y + 1/700 y - 2/75 x + + 37 3 2 2 151 289 + - ---- - 1/300 y + 1/350 z - 1/700 y z + ---- x + 1/350 x y + ----- y, + 1050 3675 10500 + + 3 2 61 2 + COEFF(0, -1, 0) = 1/175 x y + 1/25 x + 1/245 x y - --- x + 2/245 x z , + 490 + + 2 37 2 2 2 + COEFF(1, -1, 0) = - 1/700 y + ---- + 1/245 x z + 1/700 y z - 1/50 x + 1050 + + 3 2 289 2 3 151 + - 2/75 x + 1/490 x y - ----- y - 1/350 z + 1/300 y + ---- x + 10500 3675 + + 2 29 2 2 + + 1/350 x y + 1/100 x y, COEFF(2, -1, 0) = ---- - 1/350 y - 1/245 x y + 2100 + + 2 3 3 311 187 + - 1/200 x y + 1/150 y + 1/150 x - 1/175 x y + ----- x - ---- y + 14700 7000 + + 2 2 2 2 41 + + 1/100 x + 1/350 y z - 1/175 z - 2/245 x z , COEFF(-2, 0, 0) = - ---- + 2100 + + 2 3 2 2 2 2 + - 2/245 x y + 1/150 x - 2/245 x z + 1/175 y - 1/100 x + 1/175 z + + 431 2 2 136 2 + + ----- x, COEFF(-1, 0, 0) = 1/245 x z + 1/350 z + ---- x + 1/350 y + 14700 3675 + + 2 2 3 + - 4/105 + 1/50 x + 1/245 x y - 2/75 x , + + 2 13 3 2 + COEFF(0, 0, 0) = 2/245 x z - -- x + 1/25 x + 2/245 x y , COEFF(1, 0, 0) + 98 + + 2 3 2 2 136 + = - 1/50 x - 2/75 x - 1/350 z + 4/105 + 1/245 x y + ---- x + 3675 + + 2 2 41 2 2 + + 1/245 x z - 1/350 y , COEFF(2, 0, 0) = ---- - 2/245 x z + 1/100 x + 2100 + + 2 3 2 2 431 + - 1/175 z + 1/150 x - 2/245 x y - 1/175 y + ----- x, COEFF(-2, 1, 0) + 14700 + + 3 2 2 2 311 + = 1/150 x - 1/245 x y + 1/175 z + 1/175 x y - 1/200 x y + ----- x + 14700 + + 2 2 2 29 187 3 2 + + 1/350 y z - 1/100 x - 2/245 x z - ---- - ---- y + 1/150 y + 1/350 y + 2100 7000 + + 2 3 2 3 2 + , COEFF(-1, 1, 0) = 1/350 z - 2/75 x + 1/700 y z + 1/300 y + 1/100 x y + + 2 37 2 2 289 151 + + 1/490 x y - 1/350 x y - ---- + 1/245 x z + 1/700 y - ----- y + ---- x + 1050 10500 3675 + + 2 + + 1/50 x , + + 61 2 3 2 + COEFF(0, 1, 0) = - --- x + 1/245 x y - 1/175 x y + 1/25 x + 2/245 x z , + 490 + + 2 2 2 2 2 + COEFF(1, 1, 0) = - 1/350 z + 1/490 x y - 1/100 x y - 1/50 x - 1/700 y + + 2 2 37 3 151 289 + + 1/245 x z - 1/700 y z + ---- - 2/75 x + ---- x - 1/350 x y + ----- y + 1050 3675 10500 + + 3 187 2 3 + - 1/300 y , COEFF(2, 1, 0) = ---- y + 1/175 x y - 1/350 y + 1/150 x + 7000 + + 2 29 2 2 2 2 + - 1/350 y z + ---- - 2/245 x z - 1/245 x y + 1/100 x + 1/200 x y + 2100 + + 3 311 2 2 2 + - 1/150 y + ----- x - 1/175 z , COEFF(-2, 2, 0) = 1/175 z + 2/245 x y + 14700 + + 2 3 2 3 + + 2/175 x y - 2/245 x z - 1/300 y - 1/100 x y + 1/150 x - 1/300 x + + 2 2 2 17 + + 1/175 y z - 1/100 x + 1/300 - 1/175 y + ---- y, COEFF(-1, 2, 0) = + 5250 + + 187 2 2 2 2 + - ---- y + 1/50 x - 1/245 x y - 1/175 x y + 1/50 x y - 1/350 y + 7000 + + 3 2 2 3 2 + - 1/600 y + 1/350 y z + 1/350 z - 2/75 x - 2/75 + 4/75 x + 1/245 x z , + + 2 2 3 + COEFF(0, 2, 0) = - 1/10 x + 2/245 x z - 2/175 x y - 2/245 x y + 1/25 x , + + 3 2 2 2 2 + COEFF(1, 2, 0) = 1/600 y - 1/50 x - 1/350 z - 1/245 x y - 1/50 x y + + 2 2 2 3 187 + + 1/350 y - 1/350 y z - 1/175 x y + 2/75 + 1/245 x z - 2/75 x + ---- y + 7000 + + 2 2 + + 4/75 x, COEFF(2, 2, 0) = - 1/300 - 1/300 x + 2/245 x y + 1/100 x + + 3 2 2 2 2 17 + + 1/150 x + 1/175 y - 2/245 x z - 1/175 z - 1/175 y z - ---- y + 5250 + + 3 2 107 + + 2/175 x y + 1/300 y + 1/100 x y, COEFF(-2, -2, 1) = - ---- z + 7000 + + 2 2 3 2 19 + - 2/175 x y - 1/200 x z - 1/175 y + 1/300 y - 1/350 y z + ---- + 2100 + + 2 2 47 2 3 + + 1/350 z - 1/100 x - ---- y + 1/250 y z + 2/245 x y + 1/150 z + 5250 + + 2 169 3 2 2 + + 1/100 x y - ----- x - 1/175 x y z + 1/150 x - 1/245 x z - 1/350 y z + 14700 + + 2 167 3 3 + + 1/175 x z, COEFF(-1, -2, 1) = 1/490 x z + ---- y - 2/75 x + 1/300 z + 7000 + + 3 2 211 2 2 + + 1/600 y + 1/100 x z - 1/350 x z + ---- x - 1/700 y z - 1/700 y z + 3675 + + 2 2 229 + + 1/175 x y + 1/700 z - 1/245 x y - ----- z + 1/500 y z + 1/350 x y z + 10500 + + 2 2 2 + - 1/350 y - 1/42 + 1/50 x - 1/50 x y, COEFF(0, -2, 1) = - 1/175 x z + + 2 3 2 + - 2/245 x y + 1/25 x + 1/175 x y z + 2/175 x y + 1/245 x z - 9/98 x, + + 3 2 2 + COEFF(1, -2, 1) = - 2/75 x + 1/50 x y - 1/350 x z + 1/700 y z + + 2 2 2 2 211 229 + - 1/100 x z + 1/700 y z + 1/490 x z - 1/700 z + ---- x + ----- z + 3675 10500 + + 2 3 2 3 + - 1/50 x + 1/350 x y z - 1/300 z - 1/245 x y - 1/600 y - 1/500 y z + + 167 2 2 + + 1/175 x y + 1/42 - ---- y + 1/350 y , COEFF(2, -2, 1) = - 1/100 x y + 7000 + + 3 107 19 2 2 + + 1/150 x + ---- z - ---- - 1/245 x z + 1/350 y z - 1/175 x y z + 7000 2100 + + 2 2 47 2 + + 1/200 x z + 1/100 x - 2/175 x y - 1/250 y z + ---- y + 1/350 y z + 5250 + + 2 169 2 3 2 + + 2/245 x y - ----- x + 1/175 x z + 1/175 y - 1/150 z - 1/350 z + 14700 + + 3 3 3 + - 1/300 y , COEFF(-2, -1, 1) = - 1/350 x y z - 1/150 y + 1/150 x + + 167 2 2 167 2 3 + + ---- y + 1/200 x y + 1/350 z - ---- z - 1/700 y z + 1/150 z + 7000 7000 + + 191 17 2 2 + + ----- x - 1/175 x y - ---- - 1/245 x z + 1/500 y z - 1/200 x z + 14700 2100 + + 2 2 2 2 + + 1/175 x z - 1/100 x + 1/350 y - 1/245 x y + 1/700 y z, + + 2 2 17 + COEFF(-1, -1, 1) = 1/490 x z + 1/350 x y + 1/700 y - 1/350 x z - --- + 525 + + 2 166 3 3 2 + + 1/50 x + ---- x - 1/300 y + 1/700 x y z + 1/300 z + 1/490 x y + 3675 + + 2 2 3 137 137 2 + - 1/1400 y z + 1/100 x z - 2/75 x - ---- z + ---- y + 1/700 z + 5250 5250 + + 2 2 + + 1/1000 y z + 1/1400 y z - 1/100 x y, COEFF(0, -1, 1) = 1/350 x y z + + 3 2 57 2 + + 1/25 x + 1/175 x y - 1/175 x z + 1/245 x z - --- x + 1/245 x y , + 490 + + 2 17 3 2 + COEFF(1, -1, 1) = - 1/700 z + --- - 1/350 x z + 1/300 y + 1/1400 y z + 525 + + 137 2 3 3 + + 1/350 x y + ---- z + 1/490 x y + 1/700 x y z - 1/300 z - 2/75 x + 5250 + + 2 2 166 137 2 + - 1/1400 y z - 1/700 y + ---- x - ---- y - 1/50 x - 1/1000 y z + 3675 5250 + + 2 2 2 + + 1/490 x z - 1/100 x z + 1/100 x y, COEFF(2, -1, 1) = - 1/175 x y + + 3 2 2 191 2 + + 1/150 x - 1/350 y + 1/200 x z + 1/175 x z + ----- x - 1/700 y z + 14700 + + 2 3 2 17 2 2 + - 1/350 z - 1/150 z - 1/245 x z + ---- + 1/700 y z - 1/200 x y + 2100 + + 2 167 2 167 3 + + 1/100 x - ---- y - 1/245 x y - 1/350 x y z + ---- z + 1/150 y + 7000 7000 + + 2 3 3 + - 1/500 y z, COEFF(-2, 0, 1) = - 1/200 x z + 1/150 x + 1/150 z + + 2 2 2 2 187 + - 2/245 x y - 1/100 x + 1/175 y + 1/175 x z + 1/350 y z - ---- z + 7000 + + 2 2 311 29 2 + + 1/350 z - 1/245 x z + ----- x - ----, COEFF(-1, 0, 1) = 1/350 y + 14700 2100 + + 2 289 2 2 2 2 + + 1/700 z - ----- z + 1/490 x z + 1/100 x z + 1/50 x + 1/245 x y + 10500 + + 2 37 3 151 3 + + 1/700 y z - 1/350 x z - ---- + 1/300 z + ---- x - 2/75 x , + 1050 3675 + + 3 2 2 61 + COEFF(0, 0, 1) = 1/25 x + 2/245 x y + 1/245 x z - 1/175 x z - --- x, + 490 + + 3 2 289 3 + COEFF(1, 0, 1) = - 2/75 x - 1/350 x z - 1/700 z + ----- z - 1/300 z + 10500 + + 2 2 37 2 2 2 + - 1/350 y - 1/50 x + ---- - 1/100 x z + 1/245 x y + 1/490 x z + 1050 + + 2 151 2 2 + - 1/700 y z + ---- x, COEFF(2, 0, 1) = - 1/350 y z - 2/245 x y + 3675 + + 2 311 2 187 2 29 + + 1/100 x + ----- x - 1/350 z + 1/175 x z + ---- z + 1/200 x z + ---- + 14700 7000 2100 + + 2 3 2 3 167 + - 1/245 x z - 1/150 z - 1/175 y + 1/150 x , COEFF(-2, 1, 1) = - ---- z + 7000 + + 191 3 167 2 + + 1/350 x y z + ----- x + 1/150 y - ---- y - 1/100 x + 1/175 x z + 14700 7000 + + 3 2 2 2 2 + + 1/150 x - 1/200 x y - 1/245 x z + 1/175 x y + 1/350 y + 1/700 y z + + 2 2 2 17 2 + + 1/700 y z + 1/350 z - 1/500 y z - 1/245 x y - ---- - 1/200 x z + 2100 + + 3 3 3 166 + + 1/150 z , COEFF(-1, 1, 1) = 1/300 z + 1/300 y - 1/1000 y z + ---- x + 3675 + + 2 2 2 2 2 2 + + 1/1400 y z + 1/490 x y + 1/700 y + 1/100 x y + 1/100 x z + 1/50 x + + 17 2 3 137 2 + - --- + 1/700 z - 2/75 x - 1/700 x y z - ---- y + 1/1400 y z + 525 5250 + + 2 137 2 + + 1/490 x z - 1/350 x z - 1/350 x y - ---- z, COEFF(0, 1, 1) = 1/245 x y + 5250 + + 57 2 3 + - --- x + 1/245 x z - 1/175 x y - 1/175 x z + 1/25 x - 1/350 x y z, + 490 + + 166 2 137 3 + COEFF(1, 1, 1) = ---- x - 1/100 x z + ---- z - 1/350 x z - 1/300 z + 3675 5250 + + 2 2 2 2 17 + - 1/700 y - 1/350 x y + 1/490 x z - 1/100 x y - 1/1400 y z + --- + 525 + + 137 3 2 2 2 + + ---- y - 2/75 x - 1/50 x - 1/1400 y z + 1/1000 y z - 1/700 z + 5250 + + 2 3 + - 1/700 x y z + 1/490 x y - 1/300 y , COEFF(2, 1, 1) = 1/175 x y + + 2 2 167 2 + - 1/350 y + 1/500 y z + 1/200 x y + ---- y + 1/175 x z - 1/700 y z + 7000 + + 167 2 3 191 3 2 + + ---- z + 1/200 x z + 1/150 x + ----- x - 1/150 y - 1/350 z + 7000 14700 + + 2 2 17 3 2 + - 1/245 x y + 1/100 x + ---- - 1/150 z - 1/700 y z + 1/350 x y z + 2100 + + 2 19 2 2 + - 1/245 x z , COEFF(-2, 2, 1) = ---- - 1/100 x y + 1/350 z + 1/175 x y z + 2100 + + 2 169 2 107 + - 1/250 y z + 2/175 x y - 1/100 x - ----- x - 1/200 x z - ---- z + 14700 7000 + + 3 2 2 47 3 + + 1/150 x + 2/245 x y + 1/350 y z + 1/175 x z + ---- y - 1/300 y + 5250 + + 3 2 2 2 + + 1/150 z - 1/350 y z - 1/245 x z - 1/175 y , COEFF(-1, 2, 1) = + + 2 2 2 3 + - 1/245 x y + 1/700 z - 1/500 y z + 1/700 y z - 1/350 x y z - 1/600 y + + 2 2 2 211 229 2 + + 1/50 x - 1/700 y z + 1/50 x y + ---- x - ----- z - 1/350 y + 3675 10500 + + 2 167 2 3 3 + + 1/490 x z - ---- y - 1/42 + 1/100 x z + 1/300 z - 2/75 x - 1/350 x z + 7000 + + 3 2 + - 1/175 x y, COEFF(0, 2, 1) = 1/25 x - 2/245 x y - 1/175 x y z + + 2 + - 2/175 x y - 9/98 x + 1/245 x z - 1/175 x z, COEFF(1, 2, 1) = + + 2 2 3 + - 1/50 x y - 1/175 x y - 1/700 y z + 1/500 y z - 1/300 z - 1/350 x y z + + 2 2 167 2 + + 1/42 + 1/700 y z + 1/490 x z + ---- y - 1/350 x z - 1/700 z + 7000 + + 2 3 229 211 2 2 + + 1/350 y + 1/600 y + ----- z + ---- x - 1/245 x y - 1/100 x z + 10500 3675 + + 3 2 169 2 2 + - 2/75 x - 1/50 x , COEFF(2, 2, 1) = - ----- x + 2/245 x y + 1/200 x z + 14700 + + 3 2 2 3 107 47 3 + + 1/300 y - 1/350 y z + 1/175 y - 1/150 z + ---- z - ---- y + 1/150 x + 7000 5250 + + 2 2 19 2 + + 1/350 y z + 1/100 x y + 1/175 x z - ---- - 1/350 z + 2/175 x y + 2100 + + 2 2 + - 1/245 x z + 1/175 x y z + 1/100 x + 1/250 y z, COEFF(-2, -2, 2) = + + 2 2 3 3 2 + 2/175 x z + 2/245 x y - 1/175 y z - 1/300 z + 1/300 y - 1/175 y + + 2 529 137 2 137 2 + + 1/175 y z - ----- x + ---- z - 1/100 x - ---- y + 1/125 y z - 1/175 z + 14700 5250 5250 + + 2 11 3 2 2 + + 2/245 x z + --- - 2/175 x y + 1/150 x + 1/100 x y - 1/100 x z + 420 + + 2 3 2 + - 2/175 x y z, COEFF(-1, -2, 2) = - 1/350 z - 2/75 x - 8/525 - 1/50 x y + + 2 2 3 + - 1/175 x z + 1/50 x - 1/245 x y + 1/175 x y z + 1/250 y z - 1/600 z + + 2 3 2 107 2 + - 1/350 y z + 1/600 y + 1/50 x z + ---- y + 1/175 x y - 1/245 x z + 7000 + + 2 2 256 107 2 + + 1/350 y z - 1/350 y + ---- x - ---- z, COEFF(0, -2, 2) = - 2/245 x y + 3675 7000 + + 2 33 3 + - 2/245 x z + 2/175 x y - --- x + 2/175 x y z - 2/175 x z + 1/25 x , + 490 + + 3 2 256 2 2 + COEFF(1, -2, 2) = - 1/600 y - 1/245 x y + ---- x + 1/350 y - 1/350 y z + 3675 + + 3 107 2 + + 1/600 z + 8/525 + ---- z + 1/175 x y + 1/50 x y - 1/175 x z + 7000 + + 107 2 2 3 2 + - 1/250 y z - ---- y - 1/50 x + 1/350 y z - 2/75 x + 1/350 z + 7000 + + 2 2 3 + - 1/50 x z + 1/175 x y z - 1/245 x z , COEFF(2, -2, 2) = 1/150 x + + 3 3 529 + - 2/175 x y - 2/175 x y z - 1/300 y + 1/300 z - ----- x - 1/125 y z + 14700 + + 2 2 2 2 2 2 + + 2/245 x z + 1/175 y z + 1/175 z + 2/245 x y - 1/175 y z + 1/100 x + + 137 137 2 11 2 2 + + ---- y + 2/175 x z - ---- z - 1/100 x y - --- + 1/100 x z + 1/175 y , + 5250 5250 420 + + 2 2 3 + COEFF(-2, -1, 2) = 2/245 x z + 2/175 x z - 1/100 x z - 1/300 z + + 2 107 169 3 2 + + 1/350 y + ---- y - ----- x + 1/150 x + 1/250 y z - 1/245 x y + 7000 14700 + + 2 2 2 2 47 + - 1/175 z - 1/175 x y - 1/100 x + 1/200 x y + 1/350 y z + ---- z + 5250 + + 3 19 2 + - 1/150 y + ---- - 1/175 x y z + 1/350 y z , COEFF(-1, -1, 2) = + 2100 + + 2 211 2 3 2 167 + - 1/350 z + ---- x - 1/245 x z - 1/600 z + 1/50 x - ---- z + 1/350 x y + 3675 7000 + + 2 2 3 2 3 + - 1/100 x y + 1/490 x y - 2/75 x - 1/175 x z + 1/700 y z - 1/300 y + + 2 2 2 + + 1/500 y z + 1/50 x z + 1/700 y - 1/42 + 1/700 y z + 1/350 x y z + + 229 2 2 + + ----- y, COEFF(0, -1, 2) = 1/245 x y + 1/175 x y - 2/245 x z + 10500 + + 3 + + 1/175 x y z - 2/175 x z - 9/98 x + 1/25 x , COEFF(1, -1, 2) = + + 2 2 2 2 229 + 1/350 x y z - 1/50 x z - 1/700 y - 1/50 x + 1/490 x y - ----- y + 10500 + + 211 3 2 2 3 + + ---- x - 1/500 y z + 1/600 z - 1/245 x z + 1/350 z - 2/75 x + 3675 + + 3 167 2 2 + + 1/300 y - 1/175 x z + ---- z - 1/700 y z + 1/350 x y + 1/100 x y + 7000 + + 2 3 3 2 + + 1/42 - 1/700 y z , COEFF(2, -1, 2) = 1/150 x + 1/300 z + 1/175 z + + 2 2 19 169 + - 1/175 x y - 1/350 y - 1/350 y z - ---- + 2/175 x z - ----- x + 2100 14700 + + 2 3 2 2 2 + - 1/250 y z - 1/350 y z + 1/150 y + 1/100 x z + 2/245 x z + 1/100 x + + 2 107 47 2 + - 1/245 x y - ---- y - ---- z - 1/175 x y z - 1/200 x y, COEFF(-2, 0, 2) + 7000 5250 + + 3 2 17 2 + = - 1/300 z + 2/245 x z - 1/300 x + ---- z - 1/100 x z + 2/175 x z + 5250 + + 2 2 2 2 3 + - 2/245 x y - 1/100 x - 1/175 z + 1/175 y + 1/150 x + 1/300 + + 2 3 3 2 + + 1/175 y z, COEFF(-1, 0, 2) = - 1/600 z - 2/75 x + 1/245 x y + + 2 2 2 2 + - 1/175 x z + 4/75 x - 2/75 - 1/245 x z + 1/50 x z - 1/350 z + 1/350 y + + 187 2 2 + - ---- z + 1/50 x + 1/350 y z, + 7000 + + 3 2 2 + COEFF(0, 0, 2) = 1/25 x - 2/245 x z + 2/245 x y - 1/10 x - 2/175 x z, + + 187 2 2 2 2 + COEFF(1, 0, 2) = ---- z + 1/245 x y - 1/350 y + 2/75 + 1/350 z - 1/50 x + 7000 + + 2 3 2 2 3 + - 1/245 x z + 1/600 z - 1/350 y z + 4/75 x - 1/50 x z - 2/75 x + + 17 3 2 + - 1/175 x z, COEFF(2, 0, 2) = - 1/300 x - ---- z + 1/300 z + 1/100 x + 5250 + + 2 2 2 2 2 + + 2/175 x z - 1/175 y + 2/245 x z + 1/175 z - 2/245 x y + 1/100 x z + + 3 2 3 2 + - 1/300 + 1/150 x - 1/175 y z, COEFF(-2, 1, 2) = - 1/300 z + 1/350 y z + + 3 19 169 2 + + 1/175 x y + 1/150 x + 1/175 x y z + ---- - ----- x + 2/245 x z + 2100 14700 + + 2 2 2 2 + + 2/175 x z - 1/175 z + 1/350 y - 1/100 x - 1/250 y z - 1/245 x y + + 2 2 107 47 2 3 + - 1/100 x z - 1/200 x y - ---- y + ---- z - 1/350 y z + 1/150 y , + 7000 5250 + + 2 2 229 3 + COEFF(-1, 1, 2) = 1/50 x z + 1/700 y - ----- y + 1/300 y - 1/175 x z + 10500 + + 2 2 211 2 2 + + 1/490 x y - 1/245 x z + ---- x + 1/700 y z - 1/500 y z - 1/700 y z + 3675 + + 3 2 167 3 2 + - 1/600 z - 1/350 z - 1/350 x y - ---- z - 1/42 - 2/75 x + 1/100 x y + 7000 + + 2 2 + + 1/50 x - 1/350 x y z, COEFF(0, 1, 2) = - 2/245 x z - 1/175 x y z + + 3 2 + + 1/25 x + 1/245 x y - 2/175 x z - 1/175 x y - 9/98 x, COEFF(1, 1, 2) = + + 2 2 211 3 2 167 + - 1/350 x y - 1/50 x z + 1/350 z + ---- x + 1/600 z - 1/700 y + ---- z + 3675 7000 + + 3 229 2 3 + + 1/42 - 2/75 x - 1/350 x y z + ----- y + 1/500 y z - 1/50 x - 1/300 y + 10500 + + 2 2 2 2 + - 1/700 y z - 1/175 x z + 1/700 y z - 1/100 x y + 1/490 x y + + 2 19 2 3 + - 1/245 x z , COEFF(2, 1, 2) = 1/175 x y - ---- - 1/350 y + 1/300 z + 2100 + + 2 2 107 2 + + 1/100 x z + 1/175 x y z - 1/245 x y + 2/175 x z + ---- y + 1/100 x + 7000 + + 2 3 2 2 169 + + 2/245 x z - 1/150 y - 1/350 y z + 1/175 z + 1/250 y z - ----- x + 14700 + + 2 3 2 47 3 + + 1/350 y z + 1/150 x + 1/200 x y - ---- z, COEFF(-2, 2, 2) = 1/150 x + 5250 + + 2 137 11 137 3 2 + - 1/175 y z + ---- z + --- + ---- y - 1/300 z + 2/245 x z + 2/175 x z + 5250 420 5250 + + 2 2 2 529 + - 1/175 y - 1/175 y z + 2/175 x y z - 1/100 x z + 2/175 x y - ----- x + 14700 + + 3 2 2 2 2 + - 1/300 y - 1/175 z + 2/245 x y - 1/125 y z - 1/100 x y - 1/100 x , + + 2 107 3 + COEFF(-1, 2, 2) = - 1/350 z - 1/175 x y z - ---- z - 1/600 z - 1/175 x y + 7000 + + 2 3 2 2 + - 8/525 - 1/350 y z - 1/175 x z - 2/75 x - 1/350 y - 1/245 x y + + 2 107 3 256 2 2 + - 1/245 x z - ---- y - 1/600 y + ---- x + 1/50 x - 1/350 y z + 7000 3675 + + 2 2 3 2 + + 1/50 x z - 1/250 y z + 1/50 x y, COEFF(0, 2, 2) = 1/25 x - 2/245 x z + + 33 2 + - 2/175 x y z - --- x - 2/245 x y - 2/175 x y - 2/175 x z, COEFF(1, 2, 2) + 490 + + 256 2 107 + = 8/525 - 1/175 x y z + ---- x + 1/350 y + ---- z - 1/175 x y + 3675 7000 + + 2 3 2 2 2 2 + - 1/245 x y + 1/600 z + 1/350 z - 1/245 x z - 1/50 x z - 1/50 x y + + 3 2 2 107 + - 1/175 x z - 2/75 x + 1/350 y z - 1/50 x + 1/250 y z + ---- y + 7000 + + 2 3 2 11 3 + + 1/350 y z + 1/600 y , COEFF(2, 2, 2) = 2/245 x y - --- + 1/150 x + 420 + + 529 2 137 3 + - ----- x + 1/100 x y + 2/175 x y z - ---- y + 2/175 x y + 1/300 y + 14700 5250 + + 137 2 2 3 2 2 + - ---- z + 1/100 x + 1/175 y + 1/300 z + 1/175 z + 1/100 x z + 5250 + + 2 2 2 + + 2/175 x z + 1/175 y z + 1/175 y z + 2/245 x z + 1/125 y z] + +> print_coeffs__lc_of_data(%, "coeffs_dx->coeff_", "fp", +> "3d.coeffs/3d.cube.order4.smooth0/coeffs-dx.compute.c"); +bytes used=1278698152, alloc=14218708, time=162.07 +bytes used=1279698332, alloc=14218708, time=162.16 +bytes used=1280699032, alloc=14218708, 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used=1434894836, alloc=14218708, time=191.82 +bytes used=1435895072, alloc=14218708, time=191.90 +bytes used=1436916320, alloc=14218708, time=191.98 +bytes used=1437919724, alloc=14218708, time=192.05 +bytes used=1438919888, alloc=14218708, time=192.39 +bytes used=1439920124, alloc=14218708, time=192.73 +bytes used=1440920304, alloc=14218708, time=193.04 +bytes used=1441920480, alloc=14218708, time=195.65 +bytes used=1442921820, alloc=14218708, time=196.22 +bytes used=1443922264, alloc=14218708, time=196.46 +bytes used=1444922856, alloc=14218708, time=196.54 +bytes used=1445923040, alloc=14218708, time=196.65 +bytes used=1446923204, alloc=14218708, time=196.83 +bytes used=1447923456, alloc=14218708, time=196.98 +> +# d/dy +> simplify( diff(interp_3d_cube_order4_smooth0,y) ); +bytes used=1448923620, alloc=14218708, time=197.09 +bytes used=1449924492, alloc=14218708, time=197.17 +bytes used=1450924676, alloc=14218708, time=197.25 +bytes used=1451925432, alloc=14218708, time=197.33 +bytes 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used=1472107636, alloc=14218708, time=199.07 +bytes used=1473108084, alloc=14218708, time=199.16 + 41 +- ---- DATA(0, -2, 0) - 1/175 x y z DATA(2, 2, -1) + 2100 + + - 1/175 x y z DATA(-2, 1, -2) + 1/350 x y z DATA(2, 1, -1) + + + 1/350 x y z DATA(-1, 2, -1) - 1/350 x y z DATA(1, 2, -1) + + 19 + + ---- DATA(-2, -2, 1) - 2/175 x y z DATA(2, 2, -2) + 2100 + + + 1/350 y z DATA(1, -1, -1) - 1/175 x y z DATA(1, 2, -2) + + 17 + + 1/350 x y z DATA(-1, -2, -1) - ---- DATA(1, -2, 1) + 2100 + + - 1/175 x y z DATA(-2, -2, 1) + 1/350 y z DATA(-1, -1, -1) + + + 2/175 x y z DATA(-2, 2, -2) + 1/350 x y z DATA(1, -2, 1) + + 29 + - ---- DATA(0, -2, 1) - 1/175 x y z DATA(-2, 2, 1) + 2100 + + + 1/350 x y z DATA(1, 1, -2) + 1/175 x y z DATA(2, 1, -2) + + 29 + - ---- DATA(1, -2, 0) - 1/350 x y z DATA(-1, 1, -2) + 2100 + + 29 + + 1/350 x y z DATA(-2, 1, 1) + ---- DATA(0, 2, -1) + 2100 + + + 1/350 x y z DATA(-2, -1, 1) - 1/350 x y z DATA(-1, -2, 1) + + 17 + - 1/700 x y z DATA(1, 1, 1) - ---- DATA(-1, -2, 1) + 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DATA(-2, 2, -1) + 1/350 z DATA(-1, -2, 1) + 7000 + + 2 2 + + 1/700 z DATA(-2, -1, 1) + 1/350 z DATA(2, 1, -2) + + 2 2 + - 1/175 z DATA(-1, 2, 0) + 1/350 z DATA(-1, 1, -2) + + 2 2 + + 1/350 z DATA(2, -2, 1) + 1/700 z DATA(2, -1, -1) + + 2 2 + - 1/350 z DATA(1, 1, 0) + 1/350 z DATA(1, -2, 1) + + 2 41 167 + + 1/175 z DATA(1, -2, 0) + ---- DATA(0, 2, 0) - ---- z DATA(-1, 2, -1) + 2100 7000 + + 167 229 107 + - ---- z DATA(1, 2, -1) - ----- z DATA(2, 1, -1) - ---- z DATA(2, 1, -2) + 7000 10500 7000 + + 229 137 167 + + ----- z DATA(-2, 1, 1) + ---- z DATA(1, 1, 1) - ---- z DATA(-1, 1, -2) + 10500 5250 7000 + + 107 107 167 + - ---- z DATA(2, -2, 1) - ---- z DATA(2, 2, -1) + ---- z DATA(1, 2, 1) + 7000 7000 7000 + + 137 229 107 + + ---- z DATA(2, 2, -2) - ----- z DATA(2, -1, 1) + ---- z DATA(2, 2, 1) + 5250 10500 7000 + + 229 167 47 + + ----- z DATA(2, 1, 1) - ---- z DATA(1, 1, -2) + ---- z DATA(-1, 2, -2) + 10500 7000 5250 + + 107 167 + - ---- z DATA(-2, 1, -2) + ---- z DATA(-1, -2, -1) + 7000 7000 + + 137 107 47 + + ---- z DATA(-2, 2, -2) + ---- z DATA(-2, 2, 1) + ---- z DATA(1, 2, -2) + 5250 7000 5250 + + 167 167 107 + + ---- z DATA(-1, 1, 2) + ---- z DATA(-1, 2, 1) + ---- z DATA(-2, -2, -1) + 7000 7000 7000 + + 47 167 107 + + ---- z DATA(-1, -2, 2) - ---- z DATA(-1, -1, 2) + ---- z DATA(2, 1, 2) + 5250 7000 7000 + + 47 167 107 + - ---- z DATA(-1, 2, 2) - ---- z DATA(1, -1, 2) + ---- z DATA(2, -2, -1) + 5250 7000 7000 + + 229 137 + + ----- z DATA(-2, -1, -1) + ---- z DATA(-2, -2, 2) + 10500 5250 + + 167 47 107 + + ---- z DATA(1, -2, -1) + ---- z DATA(1, -2, 2) - ---- z DATA(2, -1, 2) + 7000 5250 7000 + + 167 137 137 + + ---- z DATA(1, 1, 2) - ---- z DATA(-1, 1, -1) - ---- z DATA(1, 1, -1) + 7000 5250 5250 + + 137 137 47 + + ---- z DATA(-1, 1, 1) - ---- z DATA(2, 2, 2) - ---- z DATA(1, 2, 2) + 5250 5250 5250 + + 137 229 + + ---- z DATA(-1, -1, -1) - ----- z DATA(-2, 1, -1) + 5250 10500 + + 107 107 107 + + ---- z DATA(-2, -1, -2) + ---- z DATA(-2, 1, 2) - ---- z DATA(-2, -1, 2) + 7000 7000 7000 + + 137 137 137 + - ---- z DATA(1, -1, 1) - ---- z DATA(-2, -2, -2) - ---- z DATA(-2, 2, 2) + 5250 5250 5250 + + 137 137 167 + - ---- z DATA(-1, -1, 1) + ---- z DATA(1, -1, -1) + ---- z DATA(1, -1, -2) + 5250 5250 7000 + + 29 + + ---- DATA(-1, 2, 0) + 1/500 x z DATA(1, 1, 2) - 1/250 x z DATA(2, -1, 2) + 2100 + + 2 2 + - 1/245 y z DATA(1, 1, 2) - 1/245 y z DATA(-1, 1, 2) + + 2 2 + - 1/50 y DATA(1, 1, -2) + 1/100 y DATA(-1, 2, -2) + + 47 2 + - ---- z DATA(-1, -2, -2) + 1/50 y DATA(-2, -1, -1) + 5250 + + 2 2 + - 1/100 y DATA(-1, -2, 2) - 1/100 y DATA(1, -2, 2) + + 2 2 + + 1/50 y DATA(2, -1, 2) - 1/50 y DATA(1, 1, 2) + + 2 2 + + 1/100 y DATA(-2, 2, -1) - 1/100 y DATA(-2, -2, 2) + + 2 2 + - 1/100 y DATA(1, -2, -1) - 1/50 y DATA(-2, 1, -1) + + 2 2 2 + + 1/50 y DATA(1, -1, 0) - 1/50 y DATA(-1, 1, 2) + 1/50 y DATA(1, -1, 2) + + 2 2 + - 1/100 y DATA(2, -2, -1) - 1/245 x y DATA(1, -2, 1) + + 2 2 + - 1/245 x y DATA(-1, -2, 1) - 1/245 x y DATA(1, -2, 0) + + 2 2 + + 2/245 x y 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DATA(-2, -1, 0) - 2/75 y DATA(-2, -1, 1) + + 3 3 + - 2/75 y DATA(2, 1, 0) - 2/75 y DATA(1, 1, -2) + + 3 3 + + 1/150 y DATA(-1, 2, -2) + 1/150 y DATA(1, 2, -2) + + 3 3 + + 1/150 y DATA(-1, -2, -1) - 2/75 y DATA(2, -1, 0) + + 3 3 + + 1/150 y DATA(-2, 2, -2) + 1/150 y DATA(-1, 2, -1) + + 3 3 + - 2/75 y DATA(2, 1, -1) + 1/150 y DATA(2, 2, -1) + + 3 3 + + 1/150 y DATA(1, 2, -1) - 2/75 y DATA(-2, 1, -2) + + 3 3 + + 1/150 y DATA(-1, 2, 0) + 1/150 y DATA(1, 2, 0) + + 3 3 3 + - 2/75 y DATA(-2, 1, 1) - 2/75 y DATA(1, 1, 1) - 2/75 y DATA(-1, 1, -2) + + 3 19 11 + - 2/75 y DATA(2, -1, -1) - ---- DATA(-1, 2, -2) - --- DATA(-2, 2, -2) + 2100 420 + + 19 + - 1/300 DATA(2, 2, 0) - 1/300 DATA(0, 2, -2) - ---- DATA(-2, 2, 1) + 2100 + + 19 17 + - 1/42 DATA(2, -1, 1) - ---- DATA(1, 2, -2) - ---- DATA(-1, -2, -1) + 2100 2100 + + 17 19 11 + + ---- DATA(-1, 2, 1) + ---- DATA(-2, -2, -1) - --- DATA(2, 2, -2) + 2100 2100 420 + + 17 + + 1/42 DATA(2, 1, 1) + ---- DATA(1, 2, 1) + 2/175 x y z DATA(-2, 0, 2) + 2100 + 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0, 0) + 490 490 + + 33 136 61 + - --- y DATA(-2, 0, 2) + ---- y DATA(0, -1, 0) - --- y DATA(-1, 0, 0) + 490 3675 490 + + - 8/525 DATA(-2, -1, -2) + 2/175 x y DATA(2, -2, 1) + + 11 + - 1/175 x y DATA(2, -1, -1) + --- DATA(2, -2, -2) - 1/42 DATA(1, -1, -2) + 420 + + + 2/175 x y DATA(2, -2, 0) - 2/75 DATA(0, -1, -2) - 1/42 DATA(-1, -1, -2) + + - 2/175 x y DATA(-2, -2, 1) + 1/175 x y DATA(-2, -1, 0) + + + 1/175 x y DATA(1, -2, 1) + 1/175 x y DATA(1, -2, 0) + + 187 + - 8/525 DATA(2, -1, -2) + ---- z DATA(0, -1, -2) + 7000 + + 2 + - 1/350 x z DATA(0, -1, -2) + +> coeffs_as_lc_of_data(%, posn_list_3d_size5); +bytes used=1474194580, alloc=14218708, time=199.25 +bytes used=1475420244, alloc=14218708, time=199.35 +bytes used=1476623972, alloc=14218708, time=199.45 +bytes used=1477804196, alloc=14218708, time=199.54 +bytes used=1478963260, alloc=14218708, time=199.63 +bytes used=1480101092, alloc=14218708, time=199.72 +bytes used=1481224792, alloc=14218708, time=199.82 +bytes used=1482333932, 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529 137 2 + - 1/175 z + 1/300 x - ----- y - ---- x - 1/125 x z - 1/100 y + 14700 5250 + + 3 2 + + 2/175 x y z - 2/175 y z + 1/150 y , COEFF(-1, -2, -2) = 2/245 y z + + 2 47 2 3 3 19 + - 1/350 x z - ---- z - 1/175 z - 1/150 x + 1/300 z - 1/175 x y + ---- + 5250 2100 + + 2 169 2 2 3 + + 1/350 x - 2/175 y z - ----- y + 1/100 y z + 1/350 x z + 1/150 y + 14700 + + 2 107 2 2 + - 1/100 y + ---- x - 1/250 x z - 1/245 x y + 1/175 x y z + 1/200 x y , + 7000 + + 17 3 2 2 2 + COEFF(0, -2, -2) = - ---- z + 1/150 y + 1/100 y z - 1/175 x z + 1/175 x + 5250 + + 2 2 2 3 + - 2/175 y z + 1/300 - 2/245 x y + 2/245 y z - 1/175 z + 1/300 z + + 2 2 + - 1/300 y - 1/100 y , COEFF(1, -2, -2) = - 2/175 y z - 1/100 y + + 2 3 2 107 2 + - 1/200 x y + 1/150 y - 1/175 x y z + 1/100 y z - ---- x - 1/175 z + 7000 + + 169 3 2 2 47 + - ----- y + 1/300 z + 2/245 y z + 1/350 x + 1/175 x y - ---- z + 14700 5250 + + 3 2 2 2 19 + + 1/150 x - 1/350 x z - 1/245 x y - 1/350 x z + ---- + 1/250 x z, + 2100 + + 137 2 11 + COEFF(2, -2, -2) = 2/175 x y - ---- z + 1/100 y z + --- + 1/125 x z + 5250 420 + + 3 2 2 2 + - 2/175 x y z + 1/150 y + 2/245 y z - 2/175 y z - 1/100 y - 1/175 x z + + 529 3 2 137 3 2 + - ----- y - 1/300 x - 1/100 x y + ---- x + 1/300 z - 1/175 x + 14700 5250 + + 2 2 2 3 + + 2/245 x y - 1/175 z + 1/175 x z, COEFF(-2, -1, -2) = - 2/75 y + + 256 2 2 107 + + ---- y - 1/50 y z + 1/350 x z + ---- z - 1/175 x y z + 1/175 x y + 3675 7000 + + 107 2 2 2 + + ---- x - 8/525 - 1/350 z - 1/250 x z - 1/245 y z - 1/50 x y + 7000 + + 2 3 3 2 2 + + 1/175 y z - 1/350 x + 1/600 x + 1/600 z - 1/245 x y + 1/350 x z + + 2 2 211 3 + + 1/50 y , COEFF(-1, -1, -2) = 1/700 x + ---- y + 1/600 z + 1/350 x y + 3675 + + 2 2 3 + - 1/42 - 1/350 z - 1/245 y z - 2/75 y - 1/500 x z + 1/175 y z + + 2 2 3 2 + - 1/350 x y z - 1/700 x z - 1/50 y z - 1/300 x + 1/490 x y + + 2 167 2 229 2 + + 1/700 x z + ---- z - 1/100 x y + ----- x + 1/50 y , COEFF(0, -1, -2) + 7000 10500 + + 2 2 187 2 2 3 + = - 1/245 y z + 1/245 x y + ---- z - 1/350 x z - 1/350 z + 1/600 z + 7000 + + 3 2 2 2 + - 2/75 y + 1/50 y - 1/50 y z - 2/75 + 1/175 y z + 1/350 x + 4/75 y, + + 2 167 2 + COEFF(1, -1, -2) = 1/350 x y z - 1/50 y z + ---- z - 1/42 - 1/350 z + 7000 + + 2 229 3 2 + + 1/490 x y - ----- x + 1/300 x + 1/500 x z + 1/175 y z + 1/700 x + 10500 + + 2 211 2 2 2 + - 1/700 x z + ---- y - 1/700 x z - 1/350 x y + 1/100 x y - 1/245 y z + 3675 + + 2 3 3 2 2 + + 1/50 y + 1/600 z - 2/75 y , COEFF(2, -1, -2) = 1/350 x z + 1/50 x y + + 107 2 3 + - 8/525 + 1/250 x z - ---- x - 1/350 z - 1/600 x - 1/175 x y + 7000 + + 2 2 3 256 2 + + 1/175 x y z - 1/350 x - 1/350 x z + 1/600 z + ---- y - 1/50 y z + 3675 + + 3 2 107 2 2 + - 2/75 y + 1/50 y + ---- z + 1/175 y z - 1/245 y z - 1/245 x y, + 7000 + + 3 33 2 + COEFF(-2, 0, -2) = 2/175 x y + 2/175 y z + 1/25 y - --- y - 2/245 x y + 490 + + 2 + - 2/175 x y z - 2/245 y z , COEFF(-1, 0, -2) = 2/175 y z - 1/175 x y z + + 2 2 3 + + 1/175 x y + 1/245 x y - 9/98 y - 2/245 y z + 1/25 y , + + 3 2 2 + COEFF(0, 0, -2) = 1/25 y + 2/245 x y - 1/10 y + 2/175 y z - 2/245 y z , + + 2 2 + COEFF(1, 0, -2) = - 9/98 y - 2/245 y z + 1/175 x y z + 1/245 x y + + 3 + + 2/175 y z - 1/175 x y + 1/25 y , COEFF(2, 0, -2) = - 2/175 x y + + 2 2 33 3 + + 2/175 y z - 2/245 y z - 2/245 x y + 2/175 x y z - --- y + 1/25 y , + 490 + + 3 2 2 2 + COEFF(-2, 1, -2) = - 1/600 z + 8/525 + 1/350 x - 1/50 y + 1/50 y z + + 2 107 2 2 2 + + 1/50 x y - ---- z - 1/245 y z - 1/350 x z - 1/245 x y + 1/175 y z + 7000 + + 107 3 2 2 + - ---- x + 1/250 x z - 1/600 x + 1/350 z - 1/350 x z + 1/175 x y + 7000 + + 3 256 3 + - 2/75 y + ---- y - 1/175 x y z, COEFF(-1, 1, -2) = - 2/75 y + 3675 + + 2 2 211 2 2 + + 1/700 x z - 1/245 y z + ---- y + 1/490 x y + 1/350 x y - 1/700 x + 3675 + + 167 3 2 2 + - ---- z - 1/350 x y z + 1/300 x + 1/175 y z - 1/700 x z + 1/100 x y + 7000 + + 3 229 2 2 2 + + 1/500 x z - 1/600 z - ----- x + 1/42 - 1/50 y + 1/50 y z + 1/350 z , + 10500 + + 2 2 2 187 + COEFF(0, 1, -2) = 1/245 x y + 1/350 z - 1/350 x + 4/75 y - ---- z + 2/75 + 7000 + + 3 2 2 2 2 + - 1/600 z - 1/245 y z + 1/175 y z - 1/50 y + 1/50 y z + 1/350 x z + + 3 2 2 3 + - 2/75 y , COEFF(1, 1, -2) = - 1/100 x y - 1/50 y - 1/350 x y - 2/75 y + + 3 167 2 2 3 + - 1/300 x - ---- z + 1/700 x z + 1/490 x y - 1/600 z + 1/350 x y z + 7000 + + 2 229 2 2 2 + + 1/175 y z - 1/700 x + ----- x + 1/700 x z - 1/245 y z + 1/50 y z + 10500 + + 2 211 2 + + 1/350 z + ---- y - 1/500 x z + 1/42, COEFF(2, 1, -2) = 1/350 x z + 3675 + + 107 3 2 107 + + 1/175 y z + ---- x - 1/600 z + 1/175 x y z + 8/525 + 1/50 y z - ---- z + 7000 7000 + + 2 2 2 256 3 2 + + 1/350 z - 1/350 x z - 1/50 x y + ---- y - 2/75 y - 1/245 y z + 3675 + + 2 2 3 2 + + 1/350 x - 1/245 x y - 1/175 x y + 1/600 x - 1/250 x z - 1/50 y , + + 11 137 2 2 + COEFF(-2, 2, -2) = - --- + ---- z + 1/100 y + 1/175 z - 2/175 y z + 420 5250 + + 529 2 137 2 3 + - ----- y + 1/175 x + 2/175 x y z + ---- x + 2/245 x y + 1/150 y + 14700 5250 + + 2 2 2 2 + - 1/175 x z + 1/125 x z - 1/175 x z + 2/245 y z - 1/100 x y + + 2 3 3 + - 2/175 x y - 1/100 y z - 1/300 z - 1/300 x , COEFF(-1, 2, -2) = + + 2 47 3 2 2 + - 1/100 y z + 1/175 x y z + ---- z + 1/150 y + 1/100 y + 1/175 z + 5250 + + 2 169 2 2 3 2 + - 1/200 x y - ----- y - 1/245 x y + 2/245 y z + 1/150 x - 1/350 x + 14700 + + 19 107 3 + - 2/175 y z + 1/250 x z - ---- - ---- x - 1/300 z - 1/175 x y + 2100 7000 + + 2 2 + - 1/350 x z + 1/350 x z, COEFF(0, 2, -2) = - 1/300 - 1/300 y + + 2 2 2 2 3 17 + - 1/100 y z - 1/175 x - 2/245 x y + 1/100 y - 1/300 z + ---- z + 5250 + + 2 2 2 3 + + 1/175 z + 2/245 y z - 2/175 y z + 1/175 x z + 1/150 y , + + 2 2 107 3 + COEFF(1, 2, -2) = 1/350 x z - 1/245 x y + 1/175 x y + ---- x - 1/150 x + 7000 + + 2 2 19 3 + + 1/175 z - 1/175 x y z + 1/200 x y - 2/175 y z - ---- + 1/150 y + 2100 + + 2 169 47 2 3 + + 1/350 x z - ----- y + ---- z - 1/350 x - 1/300 z - 1/250 x z + 14700 5250 + + 2 2 2 137 + - 1/100 y z + 1/100 y + 2/245 y z , COEFF(2, 2, -2) = - ---- x + 5250 + + 2 3 11 2 + + 2/245 y z + 1/150 y - --- - 1/100 y z + 2/175 x y - 2/175 y z + 420 + + 2 3 2 2 + + 1/175 z - 1/125 x z - 1/300 z + 1/100 x y + 1/100 y - 2/175 x y z + + 2 2 3 2 137 2 + + 1/175 x z + 2/245 x y + 1/300 x - 1/175 x z + ---- z + 1/175 x + 5250 + + 529 2 169 3 + - ----- y, COEFF(-2, -2, -1) = 1/350 x z - 1/250 x z - ----- y - 1/150 z + 14700 14700 + + 2 2 3 2 + + 1/175 x y z + 1/100 x y - 1/100 y - 2/175 x y + 1/300 x - 1/245 y z + + 107 19 2 3 2 2 + + ---- z + ---- - 1/175 x + 1/150 y - 1/175 y z + 1/200 y z + 1/350 z + 7000 2100 + + 2 2 47 2 + + 2/245 x y - 1/350 x z - ---- x, COEFF(-1, -2, -1) = - 1/700 x z + 5250 + + 191 167 2 2 167 + - 1/175 y z + ----- y + ---- x + 1/200 y z + 1/200 x y + ---- z + 14700 7000 7000 + + 2 3 3 17 + - 1/245 x y + 1/350 x y z - 1/500 x z - 1/150 z - 1/150 x - ---- + 2100 + + 2 2 2 2 3 + + 1/350 z - 1/700 x z - 1/100 y + 1/350 x - 1/175 x y + 1/150 y + + 2 187 2 2 29 + - 1/245 y z , COEFF(0, -2, -1) = ---- z - 1/350 x z + 1/200 y z - ---- + 7000 2100 + + 2 2 3 3 2 + - 1/100 y + 1/350 z + 1/150 y - 1/150 z - 2/245 x y - 1/175 y z + + 311 2 2 2 + + ----- y - 1/245 y z + 1/175 x , COEFF(1, -2, -1) = - 1/245 x y + 14700 + + 2 167 2 2 2 + + 1/350 x - ---- x - 1/350 x y z - 1/100 y + 1/350 z + 1/200 y z + 7000 + + 191 2 3 167 17 + + 1/175 x y + ----- y - 1/245 y z - 1/175 y z - 1/150 z + ---- z - ---- + 14700 7000 2100 + + 2 3 3 2 2 + - 1/700 x z + 1/150 y + 1/150 x - 1/200 x y + 1/500 x z + 1/700 x z , + + 169 19 2 47 3 + COEFF(2, -2, -1) = - ----- y + ---- - 1/100 x y + ---- x - 1/150 z + 14700 2100 5250 + + 3 2 107 2 + - 1/300 x + 2/175 x y + 1/200 y z + ---- z + 1/250 x z + 1/350 z + 7000 + + 2 2 2 2 2 + - 1/100 y - 1/175 y z - 1/245 y z + 1/350 x z + 2/245 x y - 1/175 x + + 2 3 2 + + 1/350 x z - 1/175 x y z + 1/150 y , COEFF(-2, -1, -1) = 1/700 x z + + 3 2 211 3 2 167 + + 1/600 x - 1/700 x z + ---- y - 2/75 y + 1/700 z + ---- x + 3675 7000 + + 2 2 2 229 2 + - 1/245 x y - 1/350 x - 1/50 x y - 1/350 x y z + ----- z + 1/50 y + 10500 + + 2 2 + - 1/100 y z + 1/490 y z + 1/350 y z - 1/42 - 1/500 x z + 1/175 x y + + 3 3 + - 1/300 z , COEFF(-1, -1, -1) = - 1/700 x y z + 1/350 x y - 2/75 y + + 137 3 2 2 137 2 + + ---- x - 1/300 z + 1/50 y + 1/700 z + ---- z - 1/1400 x z + 5250 5250 + + 2 166 2 17 2 + - 1/1000 x z - 1/100 y z + ---- y + 1/700 x - --- + 1/490 x y + 3675 525 + + 2 2 3 2 + - 1/1400 x z - 1/100 x y - 1/300 x + 1/490 y z + 1/350 y z, + + 2 151 2 3 + COEFF(0, -1, -1) = 1/350 x + 1/350 y z + ---- y - 1/100 y z - 2/75 y + 3675 + + 2 3 2 37 289 2 2 + + 1/245 x y - 1/300 z + 1/700 z - ---- + ----- z + 1/50 y + 1/490 y z + 1050 10500 + + 2 2 2 2 3 + - 1/700 x z, COEFF(1, -1, -1) = 1/700 z + 1/50 y + 1/490 x y - 2/75 y + + 166 2 3 2 137 2 + + ---- y + 1/700 x + 1/300 x + 1/100 x y + ---- z - 1/1400 x z + 3675 5250 + + 2 2 2 137 + - 1/350 x y + 1/490 y z - 1/100 y z + 1/1400 x z + 1/1000 x z - ---- x + 5250 + + 17 3 3 + - --- + 1/350 y z + 1/700 x y z - 1/300 z , COEFF(2, -1, -1) = - 1/300 z + 525 + + 2 2 2 2 2 + - 1/350 x - 1/245 x y - 1/100 y z + 1/700 z + 1/350 y z + 1/700 x z + + 211 229 2 2 167 + + ---- y + ----- z + 1/50 y + 1/490 y z - 1/175 x y - ---- x + 1/500 x z + 3675 10500 7000 + + 2 3 2 3 + + 1/700 x z - 2/75 y + 1/50 x y + 1/350 x y z - 1/600 x - 1/42, + + 3 + COEFF(-2, 0, -1) = - 1/175 x y z + 1/175 y z - 9/98 y + 1/25 y + + 2 2 57 + + 1/245 y z - 2/245 x y + 2/175 x y, COEFF(-1, 0, -1) = - --- y + 490 + + 2 3 2 + + 1/245 y z + 1/25 y + 1/175 x y - 1/350 x y z + 1/175 y z + 1/245 x y, + + 2 3 61 2 + COEFF(0, 0, -1) = 2/245 x y + 1/25 y - --- y + 1/245 y z + 1/175 y z, + 490 + + 3 2 57 2 + COEFF(1, 0, -1) = 1/25 y + 1/245 x y + 1/350 x y z - --- y + 1/245 y z + 490 + + 2 + - 1/175 x y + 1/175 y z, COEFF(2, 0, -1) = 1/245 y z + 1/175 x y z + + 2 3 + - 2/175 x y - 2/245 x y + 1/175 y z - 9/98 y + 1/25 y , COEFF(-2, 1, -1) + + 3 2 2 2 + = 1/350 y z + 1/300 z + 1/490 y z + 1/500 x z + 1/100 y z + 1/350 x + + 2 167 229 2 2 3 + - 1/245 x y - ---- x - ----- z - 1/700 x z + 1/700 x z - 1/600 x + 7000 10500 + + 2 3 2 211 + + 1/50 x y - 1/350 x y z + 1/175 x y - 2/75 y - 1/50 y + ---- y + 3675 + + 2 17 2 2 + - 1/700 z + 1/42, COEFF(-1, 1, -1) = --- - 1/50 y + 1/490 y z + 525 + + 2 2 2 166 + + 1/100 y z + 1/100 x y + 1/490 x y + 1/1000 x z + 1/350 x y + ---- y + 3675 + + 3 3 137 2 137 + - 2/75 y - 1/700 x y z + 1/300 z - ---- z + 1/1400 x z - ---- x + 5250 5250 + + 2 2 2 3 + - 1/700 z + 1/350 y z - 1/700 x + 1/1400 x z + 1/300 x , + + 2 151 3 3 + COEFF(0, 1, -1) = 1/350 y z - 1/350 x + ---- y + 1/300 z - 2/75 y + 3675 + + 289 2 2 37 2 2 + - ----- z + 1/490 y z + 1/245 x y + ---- - 1/700 z - 1/50 y + 10500 1050 + + 2 2 2 + + 1/100 y z + 1/700 x z, COEFF(1, 1, -1) = 1/700 x y z + 1/100 y z + + 2 3 166 2 + - 1/100 x y + 1/350 y z - 1/350 x y - 1/300 x + ---- y - 1/700 x + 3675 + + 137 3 2 137 17 2 2 + + ---- x - 2/75 y - 1/1400 x z - ---- z + --- - 1/50 y + 1/490 y z + 5250 5250 525 + + 2 3 2 2 + + 1/1400 x z + 1/300 z - 1/1000 x z + 1/490 x y - 1/700 z , + + 2 2 3 + COEFF(2, 1, -1) = 1/100 y z + 1/350 x y z + 1/350 x + 1/600 x + + 2 211 229 3 2 + - 1/700 x z - 1/175 x y + ---- y - ----- z - 2/75 y - 1/700 z + 3675 10500 + + 2 2 2 167 + + 1/490 y z + 1/42 - 1/500 x z - 1/50 x y - 1/700 x z + ---- x + 7000 + + 2 2 3 + - 1/245 x y - 1/50 y + 1/350 y z + 1/300 z , COEFF(-2, 2, -1) = + + 2 3 2 3 2 + - 1/100 x y + 1/150 z + 1/350 x z + 1/150 y + 1/250 x z + 2/245 x y + + 2 169 107 + - 1/350 z - ----- y - ---- z + 1/175 x y z - 1/175 y z - 2/175 x y + 14700 7000 + + 47 2 2 2 2 2 + + ---- x - 1/200 y z + 1/175 x + 1/100 y - 1/350 x z - 1/245 y z + 5250 + + 3 19 3 2 + - 1/300 x - ----, COEFF(-1, 2, -1) = 1/150 z - 1/245 y z - 1/175 x y + 2100 + + 2 2 2 167 + - 1/350 x + 1/350 x y z - 1/175 y z + 1/700 x z + 1/100 y - ---- z + 7000 + + 2 3 167 3 17 2 + - 1/350 z + 1/150 x - ---- x + 1/500 x z + 1/150 y + ---- - 1/245 x y + 7000 2100 + + 191 2 2 2 + + ----- y + 1/700 x z - 1/200 y z - 1/200 x y , COEFF(0, 2, -1) = + 14700 + + 187 2 2 2 2 3 + - ---- z - 1/200 y z - 2/245 x y - 1/245 y z + 1/100 y + 1/150 y + 7000 + + 311 29 2 2 2 3 + + ----- y + ---- - 1/350 z - 1/175 y z - 1/175 x + 1/350 x z + 1/150 z + 14700 2100 + + 2 2 2 167 + , COEFF(1, 2, -1) = - 1/350 x + 1/700 x z - 1/350 z - ---- z - 1/500 x z + 7000 + + 2 2 191 2 167 2 + + 1/200 x y - 1/245 y z + ----- y - 1/700 x z + ---- x + 1/100 y + 14700 7000 + + 2 3 3 2 17 + - 1/245 x y - 1/150 x + 1/150 z - 1/200 y z - 1/175 y z + ---- + 2100 + + 3 2 + - 1/350 x y z + 1/175 x y + 1/150 y , COEFF(2, 2, -1) = 1/175 x + + 3 169 3 2 2 + + 1/300 x + 2/175 x y - ----- y + 1/150 y - 1/350 x z + 1/100 x y + 14700 + + 2 2 2 47 + - 1/175 y z - 1/175 x y z - 1/350 x z - 1/245 y z + 1/100 y - ---- x + 5250 + + 2 2 2 107 3 + - 1/250 x z - 1/200 y z - 1/350 z + 2/245 x y - ---- z + 1/150 z + 7000 + + 19 2 + - ----, COEFF(-2, -2, 0) = - 2/175 x y + 1/300 - 1/300 y + 2/245 x y + 2100 + + 2 2 17 3 3 2 + - 1/175 x + 1/175 z - ---- x + 1/300 x + 1/150 y - 1/175 x z + 5250 + + 2 2 2 3 + + 1/100 x y - 1/100 y - 2/245 y z , COEFF(-1, -2, 0) = - 1/150 x + + 2 311 2 187 2 + + 1/200 x y + ----- y - 1/100 y - 1/175 x y + ---- x + 1/175 z + 14700 7000 + + 2 2 3 2 2 29 + - 1/245 x y - 1/350 x z + 1/150 y - 2/245 y z + 1/350 x - ----, + 2100 + + 2 431 2 41 2 + COEFF(0, -2, 0) = - 2/245 x y + ----- y + 1/175 z - ---- + 1/175 x + 14700 2100 + + 2 3 2 2 + - 2/245 y z + 1/150 y - 1/100 y , COEFF(1, -2, 0) = - 1/100 y + + 2 29 2 2 2 + - 2/245 y z - ---- - 1/200 x y + 1/350 x z - 1/245 x y + 1/175 x y + 2100 + + 3 2 2 311 3 187 + + 1/150 y + 1/350 x + 1/175 z + ----- y + 1/150 x - ---- x, + 14700 7000 + + 2 2 17 2 + COEFF(2, -2, 0) = - 1/100 y - 1/100 x y + ---- x - 1/175 x + 1/300 + 5250 + + 2 2 2 2 3 + + 2/175 x y - 2/245 y z + 2/245 x y + 1/175 z + 1/175 x z - 1/300 x + + 3 2 2 + + 1/150 y - 1/300 y, COEFF(-2, -1, 0) = - 2/75 - 1/245 x y + 1/50 y + + 3 2 2 2 187 + - 2/75 y + 1/350 z - 1/50 x y - 1/350 x z + ---- x + 1/175 x y + 7000 + + 2 3 2 + - 1/350 x + 4/75 y + 1/600 x + 1/245 y z , COEFF(-1, -1, 0) = + + 2 289 3 37 2 151 + - 1/700 x z + ----- x - 2/75 y - ---- + 1/350 x y + 1/245 y z + ---- y + 10500 1050 3675 + + 3 2 2 2 2 2 + - 1/300 x + 1/50 y + 1/350 z + 1/490 x y + 1/700 x - 1/100 x y , + + 2 2 136 3 2 + COEFF(0, -1, 0) = 1/245 y z + 1/350 z + ---- y - 2/75 y + 1/350 x + 3675 + + 2 2 2 2 + - 4/105 + 1/50 y + 1/245 x y, COEFF(1, -1, 0) = 1/50 y + 1/700 x z + + 3 151 2 2 289 + + 1/300 x + ---- y + 1/100 x y - 1/350 x y + 1/245 y z - ----- x + 3675 10500 + + 2 2 3 37 2 + + 1/490 x y + 1/350 z - 2/75 y - ---- + 1/700 x , COEFF(2, -1, 0) = + 1050 + + 2 2 2 2 2 + 1/245 y z - 1/350 x + 1/350 z + 1/50 y - 1/175 x y - 1/245 x y - 2/75 + + 2 187 3 3 2 + + 1/50 x y + 4/75 y - ---- x - 2/75 y - 1/600 x + 1/350 x z , + 7000 + + 3 2 2 + COEFF(-2, 0, 0) = 1/25 y + 2/245 y z - 2/245 x y - 1/10 y + 2/175 x y, + + 61 2 3 2 + COEFF(-1, 0, 0) = - --- y + 2/245 y z + 1/25 y + 1/175 x y + 1/245 x y, + 490 + + 2 2 13 3 + COEFF(0, 0, 0) = 2/245 y z + 2/245 x y - -- y + 1/25 y , + 98 + + 61 2 2 3 + COEFF(1, 0, 0) = - 1/175 x y - --- y + 2/245 y z + 1/245 x y + 1/25 y , + 490 + + 3 2 2 + COEFF(2, 0, 0) = 1/25 y + 2/245 y z - 2/245 x y - 2/175 x y - 1/10 y, + + 187 2 2 3 2 + COEFF(-2, 1, 0) = - ---- x - 1/50 y + 1/350 x - 2/75 y + 1/50 x y + 7000 + + 2 2 2 2 + - 1/245 x y + 1/245 y z - 1/350 z + 2/75 + 1/350 x z + 4/75 y + + 3 151 289 2 + + 1/175 x y - 1/600 x , COEFF(-1, 1, 0) = ---- y - ----- x - 1/700 x + 3675 10500 + + 2 2 3 2 2 + + 1/350 x y + 1/700 x z + 1/490 x y + 1/300 x + 1/100 x y - 1/50 y + + 2 3 37 2 136 + + 1/245 y z - 2/75 y + ---- - 1/350 z , COEFF(0, 1, 0) = ---- y + 4/105 + 1050 3675 + + 3 2 2 2 2 2 + - 2/75 y - 1/50 y - 1/350 x - 1/350 z + 1/245 y z + 1/245 x y, + + 2 151 37 2 + COEFF(1, 1, 0) = - 1/700 x + ---- y - 1/350 x y + ---- - 1/50 y + 3675 1050 + + 2 2 3 289 2 2 + + 1/245 y z - 1/700 x z - 2/75 y + ----- x - 1/100 x y + 1/490 x y + 10500 + + 2 3 2 + - 1/350 z - 1/300 x , COEFF(2, 1, 0) = 1/245 y z - 1/175 x y + + 2 2 3 2 2 187 + - 1/245 x y + 1/350 x + 1/600 x - 1/50 y - 1/50 x y + 4/75 y + ---- x + 7000 + + 2 3 2 + - 1/350 x z + 2/75 - 2/75 y - 1/350 z , COEFF(-2, 2, 0) = - 1/300 + + 2 2 17 2 2 + - 1/175 z - 2/175 x y - 2/245 y z + ---- x + 1/100 y - 1/100 x y + 5250 + + 3 3 2 2 2 + - 1/300 x + 1/150 y - 1/300 y + 1/175 x z + 2/245 x y + 1/175 x , + + 2 311 2 + COEFF(-1, 2, 0) = - 1/245 x y + ----- y - 1/175 x y - 1/200 x y + 14700 + + 2 3 187 2 29 3 2 + + 1/100 y + 1/150 y - ---- x - 1/175 z + ---- + 1/150 x - 2/245 y z + 7000 2100 + + 2 2 2 431 41 + + 1/350 x z - 1/350 x , COEFF(0, 2, 0) = - 2/245 y z + ----- y + ---- + 14700 2100 + + 2 2 2 3 2 + - 2/245 x y - 1/175 x + 1/100 y + 1/150 y - 1/175 z , COEFF(1, 2, 0) + + 2 2 3 2 2 + = 1/200 x y - 1/175 z + 1/150 y - 1/245 x y + 1/175 x y - 1/350 x + + 2 2 311 3 2 187 29 + - 2/245 y z + 1/100 y + ----- y - 1/150 x - 1/350 x z + ---- x + ----, + 14700 7000 2100 + + 3 2 2 + COEFF(2, 2, 0) = 2/175 x y + 1/150 y - 1/300 + 1/175 x + 2/245 x y + + 2 2 2 2 2 3 + + 1/100 y - 1/175 x z + 1/100 x y - 2/245 y z - 1/175 z + 1/300 x + + 17 2 19 3 + - 1/300 y - ---- x, COEFF(-2, -2, 1) = - 1/350 x z + ---- + 1/150 z + 5250 2100 + + 2 2 2 3 + + 1/175 y z + 2/245 x y - 2/175 x y - 1/350 x z - 1/100 y + 1/300 x + + 2 3 107 2 169 + + 1/100 x y + 1/150 y - ---- z - 1/175 x - 1/175 x y z - ----- y + 7000 14700 + + 2 2 2 47 + - 1/245 y z + 1/250 x z - 1/200 y z + 1/350 z - ---- x, + 5250 + + 2 2 + COEFF(-1, -2, 1) = 1/350 z - 1/350 x y z - 1/245 x y + 1/500 x z + + 2 167 2 2 + + 1/700 x z - 1/175 x y + ---- x - 1/100 y - 1/700 x z + 1/175 y z + 7000 + + 2 2 3 3 2 3 + + 1/350 x + 1/200 x y - 1/150 x + 1/150 z - 1/245 y z + 1/150 y + + 167 2 17 191 3 + - ---- z - 1/200 y z - ---- + ----- y, COEFF(0, -2, 1) = 1/150 y + 7000 2100 14700 + + 2 311 29 3 2 + - 1/200 y z + ----- y + 1/175 y z - ---- + 1/150 z + 1/350 z + 14700 2100 + + 2 2 2 187 2 2 + + 1/350 x z + 1/175 x - 2/245 x y - ---- z - 1/100 y - 1/245 y z , + 7000 + + 167 191 2 3 + COEFF(1, -2, 1) = - ---- z + ----- y + 1/175 y z + 1/350 z + 1/150 z + 7000 14700 + + 2 17 2 167 2 + - 1/245 y z - ---- - 1/500 x z + 1/350 x - ---- x - 1/200 x y + 2100 7000 + + 3 2 2 2 3 2 + + 1/150 y - 1/200 y z - 1/100 y + 1/700 x z + 1/150 x - 1/245 x y + + 2 2 + + 1/175 x y + 1/700 x z + 1/350 x y z, COEFF(2, -2, 1) = 1/350 z + + 2 169 3 2 + + 1/175 y z - 1/100 y - ----- y - 1/300 x - 1/350 x z + 1/175 x y z + 14700 + + 47 2 3 2 2 + + ---- x - 1/100 x y + 1/150 z - 1/250 x z + 1/350 x z - 1/175 x + 5250 + + 3 2 2 107 19 2 + + 1/150 y + 2/245 x y - 1/245 y z - ---- z + ---- - 1/200 y z + 7000 2100 + + 2 2 229 + + 2/175 x y, COEFF(-2, -1, 1) = 1/50 y - 1/50 x y - 1/42 - ----- z + 10500 + + 2 2 211 2 2 3 + - 1/245 x y - 1/700 x z + ---- y - 1/700 x z + 1/490 y z + 1/600 x + 3675 + + 2 3 3 + + 1/350 x y z + 1/100 y z - 2/75 y + 1/500 x z + 1/175 x y + 1/300 z + + 2 167 2 2 + + 1/700 z + ---- x - 1/350 y z - 1/350 x , COEFF(-1, -1, 1) = 1/700 z + 7000 + + 2 137 137 2 2 17 + + 1/50 y - ---- z + ---- x + 1/490 y z - 1/1400 x z + 1/700 x y z - --- + 5250 5250 525 + + 2 166 2 3 3 + + 1/490 x y + 1/350 x y + ---- y + 1/1400 x z - 1/300 x + 1/300 z + 3675 + + 3 2 2 2 + - 2/75 y + 1/700 x - 1/100 x y - 1/350 y z + 1/100 y z + 1/1000 x z, + + 2 2 37 2 + COEFF(0, -1, 1) = 1/350 x + 1/50 y - 1/350 y z - ---- + 1/700 x z + 1050 + + 2 2 151 3 289 3 + + 1/245 x y + 1/700 z + ---- y + 1/300 z - ----- z - 2/75 y + 3675 10500 + + 2 2 2 + + 1/100 y z + 1/490 y z , COEFF(1, -1, 1) = 1/100 x y - 1/1000 x z + + 137 2 3 2 2 + - ---- z + 1/100 y z + 1/300 x + 1/490 x y - 1/700 x y z + 1/700 z + 5250 + + 137 2 2 17 3 + - ---- x + 1/1400 x z + 1/490 y z - --- + 1/300 z - 1/350 x y + 5250 525 + + 2 2 166 2 3 + + 1/1400 x z - 1/350 y z + 1/50 y + ---- y + 1/700 x - 2/75 y , + 3675 + + 3 2 2 + COEFF(2, -1, 1) = - 1/600 x + 1/490 y z - 1/350 x y z - 1/700 x z + + 3 2 3 2 + - 1/500 x z + 1/300 z + 1/700 z - 1/175 x y - 2/75 y + 1/50 x y + + 167 2 2 2 2 + - ---- x - 1/42 - 1/350 y z + 1/50 y + 1/100 y z - 1/350 x - 1/245 x y + 7000 + + 211 2 229 + + ---- y + 1/700 x z - ----- z, COEFF(-2, 0, 1) = 2/175 x y - 9/98 y + 3675 10500 + + 2 3 2 + - 1/175 y z + 1/175 x y z - 2/245 x y + 1/25 y + 1/245 y z , + + 57 2 3 2 + COEFF(-1, 0, 1) = 1/175 x y - --- y + 1/245 y z + 1/25 y + 1/245 x y + 490 + + - 1/175 y z + 1/350 x y z, + + 2 61 3 2 + COEFF(0, 0, 1) = 2/245 x y - --- y - 1/175 y z + 1/25 y + 1/245 y z , + 490 + + 57 2 2 + COEFF(1, 0, 1) = - --- y - 1/350 x y z + 1/245 x y + 1/245 y z + 490 + + 3 + - 1/175 y z + 1/25 y - 1/175 x y, COEFF(2, 0, 1) = - 1/175 y z - 9/98 y + + 2 2 3 + + 1/245 y z - 2/245 x y - 2/175 x y + 1/25 y - 1/175 x y z, + + 2 2 2 3 2 + COEFF(-2, 1, 1) = 1/700 x z - 1/100 y z - 1/700 z - 2/75 y - 1/50 y + + 211 229 2 3 + + ---- y + ----- z - 1/350 y z - 1/245 x y - 1/500 x z + 1/42 - 1/300 z + 3675 10500 + + 2 167 3 2 + + 1/175 x y + 1/700 x z - ---- x - 1/600 x + 1/350 x + 1/350 x y z + 7000 + + 2 2 3 2 + + 1/50 x y + 1/490 y z , COEFF(-1, 1, 1) = - 1/300 z - 1/100 y z + + 2 2 2 166 137 + - 1/350 y z - 1/700 z - 1/1400 x z - 1/700 x + ---- y + ---- z + 3675 5250 + + 2 2 2 3 17 3 + + 1/100 x y + 1/490 y z + 1/490 x y + 1/300 x + --- - 2/75 y + 525 + + 2 137 2 + + 1/1400 x z - ---- x - 1/50 y + 1/700 x y z + 1/350 x y - 1/1000 x z, + 5250 + + 289 3 2 2 + COEFF(0, 1, 1) = ----- z - 1/350 y z - 1/300 z - 1/350 x - 1/50 y + 10500 + + 2 2 2 37 151 3 + + 1/490 y z - 1/700 z + 1/245 x y + ---- + ---- y - 2/75 y + 1050 3675 + + 2 2 166 + - 1/700 x z - 1/100 y z, COEFF(1, 1, 1) = ---- y - 1/700 x y z + 3675 + + 2 2 2 2 + - 1/700 x - 1/100 x y - 1/350 y z - 1/1400 x z + 1/1000 x z - 1/50 y + + 2 3 17 3 2 2 + - 1/1400 x z - 1/300 x + --- - 1/300 z - 1/100 y z + 1/490 y z + 525 + + 137 2 2 137 3 + + ---- z + 1/490 x y - 1/350 x y - 1/700 z + ---- x - 2/75 y , + 5250 5250 + + 3 2 229 2 + COEFF(2, 1, 1) = 1/600 x - 1/175 x y - 1/50 x y + ----- z + 1/350 x + 10500 + + 2 2 3 2 + - 1/100 y z - 1/700 z - 1/350 x y z + 1/500 x z - 1/300 z + 1/700 x z + + 2 211 2 2 + + 1/42 + 1/490 y z + ---- y - 1/245 x y - 1/700 x z - 1/350 y z + 3675 + + 2 167 3 3 2 + - 1/50 y + ---- x - 2/75 y , COEFF(-2, 2, 1) = 1/150 y + 1/175 x + 7000 + + 169 3 2 2 + - ----- y - 1/150 z - 1/350 z - 2/175 x y - 1/250 x z - 1/100 x y + 14700 + + 3 19 2 107 2 + - 1/300 x - ---- - 1/245 y z + ---- z + 1/175 y z + 2/245 x y + 2100 7000 + + 2 47 2 2 2 + + 1/350 x z + ---- x + 1/200 y z - 1/175 x y z + 1/100 y + 1/350 x z , + 5250 + + 2 2 3 + COEFF(-1, 2, 1) = 1/700 x z + 1/100 y - 1/150 z - 1/500 x z + 1/175 y z + + 2 3 17 2 2 2 + - 1/350 x + 1/150 x + ---- + 1/200 y z - 1/245 y z - 1/700 x z + 2100 + + 2 167 3 2 + - 1/200 x y - 1/350 x y z + ---- z - 1/175 x y + 1/150 y - 1/350 z + 7000 + + 2 167 191 2 3 + - 1/245 x y - ---- x + ----- y, COEFF(0, 2, 1) = 1/100 y - 1/150 z + 7000 14700 + + 2 2 2 311 187 + + 1/200 y z + 1/175 y z - 1/350 z - 1/175 x + ----- y + ---- z + 14700 7000 + + 2 2 29 2 3 + - 1/245 y z - 1/350 x z + ---- - 2/245 x y + 1/150 y , COEFF(1, 2, 1) + 2100 + + 2 17 2 3 + = 1/350 x y z - 1/350 x + 1/175 y z + ---- + 1/200 y z + 1/150 y + 2100 + + 2 2 167 167 + + 1/500 x z - 1/700 x z - 1/350 z + 1/175 x y + ---- x + ---- z + 7000 7000 + + 2 2 2 191 3 2 + + 1/200 x y - 1/245 y z + 1/100 y + ----- y - 1/150 x - 1/245 x y + 14700 + + 3 2 47 2 + - 1/150 z - 1/700 x z, COEFF(2, 2, 1) = - ---- x + 1/100 y + 1/175 y z + 5250 + + 2 107 2 19 2 + - 1/245 y z + ---- z + 1/350 x z - ---- - 1/350 x z + 2/175 x y + 7000 2100 + + 2 3 2 3 3 169 + + 1/200 y z - 1/150 z + 1/175 x + 1/300 x + 1/150 y - ----- y + 14700 + + 2 2 2 + - 1/350 z + 2/245 x y + 1/100 x y + 1/250 x z + 1/175 x y z, + + 3 137 2 2 + COEFF(-2, -2, 2) = 1/300 x + ---- z + 1/175 x z - 1/175 x z + 1/125 x z + 5250 + + 2 3 2 2 + - 1/100 y + 2/175 y z + 1/150 y - 2/175 x y - 1/175 x - 1/100 y z + + 2 137 2 2 529 2 + + 2/245 x y - ---- x + 1/100 x y - 1/175 z - ----- y + 2/245 y z + 5250 14700 + + 3 11 2 3 + - 2/175 x y z - 1/300 z + ---, COEFF(-1, -2, 2) = 2/245 y z - 1/150 x + 420 + + 19 2 47 2 2 + + ---- + 1/350 x z + ---- z - 1/100 y + 1/350 x z + 2/175 y z + 2100 5250 + + 2 107 2 2 169 + - 1/175 z + ---- x - 1/175 x y z - 1/100 y z + 1/350 x - ----- y + 7000 14700 + + 2 3 3 2 + + 1/200 x y + 1/250 x z - 1/300 z + 1/150 y - 1/245 x y - 1/175 x y, + + 3 2 2 17 + COEFF(0, -2, 2) = - 1/300 z + 2/175 y z + 2/245 y z + 1/175 x + ---- z + 5250 + + 2 3 2 2 + - 1/300 y + 1/300 - 1/100 y z + 1/150 y - 2/245 x y - 1/100 y + + 2 2 2 2 + - 1/175 z + 1/175 x z, COEFF(1, -2, 2) = 1/350 x z - 1/100 y z + + 3 47 2 2 3 2 + + 1/150 x + ---- z - 1/200 x y - 1/175 z - 1/300 z + 2/245 y z + 5250 + + 169 19 2 3 + - 1/250 x z - ----- y + ---- + 1/175 x y + 2/175 y z + 1/350 x + 1/150 y + 14700 2100 + + 2 107 2 2 + - 1/100 y - ---- x - 1/350 x z + 1/175 x y z - 1/245 x y, + 7000 + + 2 137 2 3 3 + COEFF(2, -2, 2) = - 1/175 x + ---- z - 1/175 x z - 1/300 x + 1/150 y + 5250 + + 137 2 2 2 + + ---- x - 1/125 x z + 2/175 y z - 1/100 y z - 1/100 y + 2/245 y z + 5250 + + 529 3 11 2 + - ----- y - 1/300 z + 2/175 x y + 2/175 x y z + --- + 2/245 x y + 14700 420 + + 2 2 2 107 + - 1/175 x z - 1/175 z - 1/100 x y , COEFF(-2, -1, 2) = - ---- z + 7000 + + 2 107 2 2 2 + - 1/50 x y + ---- x + 1/350 x z - 1/175 y z + 1/50 y z - 1/350 z + 7000 + + 2 3 3 3 2 + + 1/50 y - 1/600 z + 1/175 x y - 8/525 + 1/600 x - 2/75 y - 1/350 x + + 256 2 2 2 + + ---- y + 1/175 x y z - 1/350 x z - 1/245 x y - 1/245 y z + 1/250 x z, + 3675 + + 167 2 + COEFF(-1, -1, 2) = 1/350 x y z + 1/500 x z - ---- z - 1/175 y z + 1/50 y + 7000 + + 211 3 3 2 2 + + ---- y - 2/75 y + 1/350 x y - 1/42 - 1/300 x - 1/100 x y + 1/700 x + 3675 + + 2 2 2 2 229 2 + + 1/700 x z - 1/245 y z + 1/50 y z + 1/700 x z + ----- x - 1/350 z + 10500 + + 3 2 2 2 + - 1/600 z + 1/490 x y, COEFF(0, -1, 2) = - 2/75 + 1/350 x z + 1/350 x + + 2 2 187 3 2 2 + + 4/75 y + 1/245 x y + 1/50 y - ---- z - 2/75 y + 1/50 y z - 1/350 z + 7000 + + 3 2 3 211 + - 1/600 z - 1/245 y z - 1/175 y z, COEFF(1, -1, 2) = 1/300 x + ---- y + 3675 + + 2 3 2 2 2 + + 1/700 x z - 1/600 z - 1/350 x y z + 1/50 y - 1/700 x z + 1/50 y z + + 2 2 229 3 167 + - 1/245 y z - 1/350 x y - 1/42 + 1/100 x y - ----- x - 2/75 y - ---- z + 10500 7000 + + 2 2 2 + + 1/490 x y + 1/700 x - 1/500 x z - 1/175 y z - 1/350 z , + + 3 2 107 2 + COEFF(2, -1, 2) = - 2/75 y + 1/50 y - ---- x - 1/350 z - 1/175 x y z + 7000 + + 2 256 2 2 + + 1/50 y z - 8/525 + ---- y - 1/175 y z - 1/350 x - 1/350 x z + 3675 + + 3 2 2 2 2 3 + - 1/600 x - 1/350 x z - 1/245 x y + 1/50 x y - 1/245 y z - 1/600 z + + 107 3 + - 1/175 x y - ---- z - 1/250 x z, COEFF(-2, 0, 2) = - 2/175 y z + 1/25 y + 7000 + + 33 2 2 + + 2/175 x y z - --- y + 2/175 x y - 2/245 y z - 2/245 x y, + 490 + + COEFF(-1, 0, 2) = - 9/98 y - 2/175 y z + 1/175 x y + 1/175 x y z + + 2 2 3 + - 2/245 y z + 1/245 x y + 1/25 y , + + 3 2 2 + COEFF(0, 0, 2) = 1/25 y - 2/175 y z - 2/245 y z - 1/10 y + 2/245 x y, + + 2 3 + COEFF(1, 0, 2) = - 1/175 x y - 9/98 y - 2/245 y z - 2/175 y z + 1/25 y + + 2 2 + - 1/175 x y z + 1/245 x y, COEFF(2, 0, 2) = - 2/175 x y z - 2/245 y z + + 3 2 33 + + 1/25 y - 2/245 x y - 2/175 y z - 2/175 x y - --- y, COEFF(-2, 1, 2) = + 490 + + 2 2 2 107 3 + 1/350 z - 1/245 x y + 8/525 + 1/50 x y + ---- z + 1/175 x y z - 1/600 x + 7000 + + 3 2 256 2 + + 1/600 z + 1/350 x z + ---- y - 1/250 x z - 1/50 y z + 1/175 x y + 3675 + + 2 2 2 3 2 + - 1/350 x z - 1/50 y - 1/175 y z - 1/245 y z - 2/75 y + 1/350 x + + 107 2 + - ---- x, COEFF(-1, 1, 2) = - 1/50 y z - 1/500 x z + 1/350 x y z + 7000 + + 2 2 2 167 2 + - 1/50 y - 1/700 x z - 1/700 x - 1/175 y z + 1/42 + ---- z - 1/245 y z + 7000 + + 229 3 211 2 3 2 + - ----- x - 2/75 y + ---- y + 1/100 x y + 1/600 z + 1/490 x y + 10500 3675 + + 2 2 3 + - 1/700 x z + 1/350 x y + 1/350 z + 1/300 x , COEFF(0, 1, 2) = 4/75 y + + 3 2 3 2 2 + + 1/600 z - 1/350 x z - 2/75 y - 1/175 y z + 1/245 x y - 1/245 y z + + 2 2 2 187 2 + - 1/350 x - 1/50 y z + 1/350 z + ---- z - 1/50 y + 2/75, + 7000 + + 3 2 2 2 + COEFF(1, 1, 2) = 1/600 z + 1/350 z + 1/500 x z - 1/700 x z + 1/700 x z + + 2 3 2 3 211 + - 1/245 y z - 2/75 y - 1/700 x + 1/42 - 1/300 x - 1/175 y z + ---- y + 3675 + + 167 2 2 229 2 + - 1/350 x y z + ---- z - 1/100 x y + 1/490 x y + ----- x - 1/50 y + 7000 10500 + + 2 2 2 2 + - 1/50 y z - 1/350 x y, COEFF(2, 1, 2) = 1/350 x - 1/50 y + 1/350 x z + + 3 3 2 3 2 + + 1/600 x - 1/175 x y + 8/525 - 2/75 y - 1/50 y z + 1/600 z + 1/350 z + + 107 2 2 2 256 + + ---- z - 1/245 y z + 1/350 x z - 1/50 x y - 1/175 y z + ---- y + 7000 3675 + + 2 107 + - 1/245 x y - 1/175 x y z + 1/250 x z + ---- x, COEFF(-2, 2, 2) = + 7000 + + 3 137 2 2 + 1/150 y - 2/175 x y + ---- x + 2/175 y z + 1/100 y + 2/245 x y + 5250 + + 3 3 2 529 2 + + 1/300 z - 1/300 x - 2/175 x y z + 1/175 x z - ----- y + 1/175 z + 14700 + + 2 137 11 2 2 + - 1/100 x y - ---- z - 1/125 x z - --- + 1/100 y z + 2/245 y z + 5250 420 + + 2 2 2 + + 1/175 x - 1/175 x z , COEFF(-1, 2, 2) = - 1/350 x z - 1/175 x y z + + 2 169 3 3 2 + + 2/245 y z - ----- y + 1/150 x - 1/175 x y + 1/300 z + 1/100 y z + 14700 + + 2 47 107 3 2 19 + - 1/250 x z - 1/350 x - ---- z - ---- x + 1/150 y - 1/200 x y - ---- + 5250 7000 2100 + + 2 2 2 2 + + 1/100 y + 2/175 y z - 1/245 x y + 1/175 z - 1/350 x z, + + 3 3 2 17 2 + COEFF(0, 2, 2) = 1/150 y - 1/300 + 1/300 z - 1/175 x - ---- z + 1/100 y + 5250 + + 2 2 2 2 + + 1/100 y z + 2/175 y z + 2/245 y z - 1/175 x z - 2/245 x y - 1/300 y + + 2 19 2 2 + + 1/175 z , COEFF(1, 2, 2) = - ---- + 1/175 x y + 1/100 y z - 1/350 x + 2100 + + 2 2 169 + + 1/250 x z + 1/100 y + 1/175 x y z + 2/175 y z - 1/350 x z - ----- y + 14700 + + 2 2 47 3 3 107 + + 1/350 x z + 1/175 z - ---- z + 1/150 y + 1/300 z + ---- x + 5250 7000 + + 2 2 3 2 + + 2/245 y z + 1/200 x y - 1/150 x - 1/245 x y, COEFF(2, 2, 2) = + + 137 11 2 2 3 + - ---- x - --- + 2/175 x y + 1/175 x + 1/100 y z + 1/300 z + 2/175 x y z + 5250 420 + + 529 2 2 2 3 + - ----- y + 1/100 y + 2/245 y z + 2/175 y z + 1/175 z + 1/150 y + 14700 + + 137 2 2 3 2 + + 1/125 x z - ---- z + 1/100 x y + 1/175 x z + 1/300 x + 1/175 x z + 5250 + + 2 + + 2/245 x y] + +> print_coeffs__lc_of_data(%, "coeffs_dy->coeff_", "fp", +> "3d.coeffs/3d.cube.order4.smooth0/coeffs-dy.compute.c"); 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used=1671780564, alloc=14284232, time=235.57 +bytes used=1672780908, alloc=14284232, time=235.64 +bytes used=1673781220, alloc=14284232, time=235.72 +bytes used=1674781420, alloc=14284232, time=235.80 +bytes used=1675781660, alloc=14284232, time=235.87 +bytes used=1676781924, alloc=14284232, time=235.95 +bytes used=1677782092, alloc=14284232, time=236.02 +bytes used=1678782300, alloc=14284232, time=236.20 +bytes used=1679783348, alloc=14284232, time=236.55 +bytes used=1680783504, alloc=14284232, time=236.78 +bytes used=1681783752, alloc=14284232, time=238.32 +bytes used=1682783944, alloc=14284232, time=240.34 +bytes used=1683784964, alloc=14284232, time=240.87 +bytes used=1684785116, alloc=14284232, time=241.09 +bytes used=1685785268, alloc=14284232, time=241.17 +bytes used=1686785428, alloc=14284232, time=241.26 +bytes used=1687785756, alloc=14284232, time=241.43 +bytes used=1688785908, alloc=14284232, time=241.56 +> +# d/dz +> simplify( diff(interp_3d_cube_order4_smooth0,z) ); +bytes 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2/175 x y z DATA(-2, -2, 2) + + 29 + - 1/175 x y z DATA(2, -1, 2) + ---- DATA(0, -1, 2) + 2100 + + - 1/350 y z DATA(1, 1, -1) + 1/350 x y z DATA(1, 1, 2) + + + 1/350 x y z DATA(-1, 2, 1) - 1/175 x y z DATA(-2, -2, -1) + + + 1/175 x y z DATA(-1, -2, 2) - 1/175 x y z DATA(1, -2, 2) + + - 1/350 y z DATA(-1, 1, -1) - 1/175 x y z DATA(-1, 2, -2) + + - 1/175 x y z DATA(2, 2, 1) - 1/350 y z DATA(-1, 1, 1) + + + 1/42 DATA(-2, -1, 1) - 1/350 x y z DATA(2, 1, 1) + + - 1/350 x y z DATA(1, 2, 1) + 8/525 DATA(2, -2, 1) + + + 1/350 x y z DATA(2, -1, 1) + 1/175 x y z DATA(1, 2, 2) + + 229 + + ----- x DATA(-1, -2, -1) + 2/75 DATA(-2, 0, 1) + 10500 + + + 1/700 x y z DATA(1, -1, -1) + 1/700 x y z DATA(-1, 1, 1) + + - 1/175 x y z DATA(-1, 2, 2) - 2/175 x y z DATA(2, -2, 2) + + + 1/175 x y z DATA(-2, 2, -1) + 2/175 x y z DATA(2, 2, 2) + + + 1/350 x y z DATA(1, -2, -1) + 1/350 x y z DATA(-2, 1, -1) + + + 1/175 x y z DATA(2, 1, 2) + 1/175 x y z DATA(2, -2, -1) + + - 1/300 DATA(0, 2, 2) - 1/350 x y z DATA(-2, -1, -1) + + 167 137 29 + - ---- x DATA(-2, 1, 1) + ---- x DATA(1, 1, 1) + ---- DATA(1, 0, 2) + 7000 5250 2100 + + 229 167 107 + + ----- x DATA(-1, 2, -1) - ---- x DATA(2, 1, -1) - ---- x DATA(2, 2, -1) + 10500 7000 7000 + + 229 167 + - ----- x DATA(1, 2, -1) - ---- x DATA(-1, -1, 2) + 10500 7000 + + 229 + - 1/700 x y z DATA(-1, -1, -1) + ----- x DATA(1, 2, 1) + 10500 + + 37 137 167 + - ---- DATA(-1, 0, -1) + ---- x DATA(2, 2, -2) + ---- x DATA(2, -1, 1) + 1050 5250 7000 + + 229 107 167 + - ----- x DATA(-1, 2, 1) + ---- x DATA(-2, -2, -1) - ---- x DATA(1, 1, -2) + 10500 7000 7000 + + 107 137 107 + - ---- x DATA(1, 2, -2) - ---- x DATA(-2, 2, -2) - ---- x DATA(-2, 2, 1) + 7000 5250 7000 + + 37 + - 1/42 DATA(2, -1, -1) + 4/105 DATA(0, 0, 1) + ---- DATA(1, 0, 1) + 1050 + + 37 17 + + ---- DATA(0, 1, 1) + --- DATA(1, 1, 1) + 1/175 x z DATA(-2, -1, 1) + 1050 525 + + - 1/175 x z DATA(2, -1, -1) - 1/175 x z DATA(2, -2, 1) + + 2 + + 1/175 x z DATA(-2, -2, 1) + 1/100 y z DATA(-1, 2, 2) + 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7000 + + 167 167 107 + - ---- x DATA(-1, 1, 2) + ---- x DATA(1, -1, 2) - ---- x DATA(2, -2, -1) + 7000 7000 7000 + + 167 137 + + ---- x DATA(-2, -1, -1) + ---- x DATA(-2, -2, 2) + 7000 5250 + + 229 167 107 + - ----- x DATA(1, -2, -1) + ---- x DATA(-2, 1, -1) + ---- x DATA(1, -2, 2) + 10500 7000 7000 + + 107 167 + - 1/42 DATA(1, 2, -1) - ---- x DATA(1, -2, -2) + ---- x DATA(-1, -1, -2) + 7000 7000 + + 137 137 107 + + ---- x DATA(1, -1, 1) - ---- x DATA(2, 2, 2) + ---- x DATA(1, 2, 2) + 5250 5250 7000 + + 137 137 137 + + ---- x DATA(-1, -1, -1) - ---- x DATA(1, -1, -1) - ---- x DATA(-1, 1, 1) + 5250 5250 5250 + + 137 137 107 + + ---- x DATA(-1, 1, -1) - ---- x DATA(1, 1, -1) + ---- x DATA(-1, -2, -2) + 5250 5250 7000 + + 137 47 47 + - ---- x DATA(-2, -2, -2) + ---- x DATA(-2, 1, 2) + ---- x DATA(-2, -1, 2) + 5250 5250 5250 + + 47 167 + - ---- x DATA(-2, -1, -2) - ---- x DATA(1, -1, -2) + 5250 7000 + + 137 137 19 + + ---- x DATA(2, -2, -2) + ---- x DATA(-2, 2, 2) + ---- DATA(-2, 1, -2) + 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2 137 3 + - 1/175 x + 2/175 x y z + 1/100 y z + 1/100 x z - ---- y + 1/300 y + 5250 + + 11 2 3 169 + - 2/175 y z + --- + 2/245 y z, COEFF(-1, -2, -2) = - 1/150 x - ----- z + 420 14700 + + 3 2 2 2 19 + + 1/300 y - 1/100 z + 1/350 x - 2/175 y z - 1/350 x y + ---- + 2100 + + 2 2 2 2 47 + + 1/100 y z - 1/175 x z + 2/245 y z + 1/350 x y - 1/175 y - ---- y + 5250 + + 2 3 107 2 + - 1/245 x z + 1/175 x y z + 1/150 z - 1/250 x y + ---- x + 1/200 x z , + 7000 + + 2 3 17 + COEFF(0, -2, -2) = - 1/300 z - 2/175 y z + 1/175 x + 1/150 z - ---- y + 5250 + + 2 2 2 2 2 + - 1/175 y - 1/175 x y + 1/100 y z - 2/245 x z - 1/100 z + 1/300 + + 3 2 2 2 + + 1/300 y + 2/245 y z, COEFF(1, -2, -2) = - 1/245 x z + 1/100 y z + + 3 2 2 169 3 + + 1/300 y - 1/350 x y - 1/100 z + 1/250 x y - ----- z + 1/150 z + 14700 + + 47 2 2 2 + + 1/175 x z - ---- y + 2/245 y z - 2/175 y z - 1/175 y - 1/350 x y + 5250 + + 19 2 3 107 2 + + ---- - 1/175 x y z + 1/350 x + 1/150 x - ---- x - 1/200 x z , + 2100 7000 + + 2 + COEFF(2, -2, -2) = 1/125 x y + 2/175 x z - 1/175 x - 2/175 x y z + + 11 2 2 529 2 137 + - 2/175 y z + --- + 2/245 x z - 1/175 y - ----- z - 1/175 x y + ---- x + 420 14700 5250 + + 137 3 2 3 2 2 + - ---- y + 1/150 z + 2/245 y z - 1/300 x + 1/175 x y - 1/100 z + 5250 + + 2 2 3 3 + + 1/100 y z - 1/100 x z + 1/300 y , COEFF(-2, -1, -2) = 1/150 z + + 107 2 2 2 3 + + ---- y - 1/350 x y + 1/100 x z + 1/350 y + 1/300 x - 2/175 x z + 7000 + + 169 19 2 2 3 47 + - ----- z - 1/175 y z + ---- + 1/200 y z - 1/245 y z - 1/150 y - ---- x + 14700 2100 5250 + + 2 2 2 2 + - 1/250 x y - 1/175 x + 1/350 x y - 1/100 z + 2/245 x z + 1/175 x y z, + + 2 3 17 + COEFF(-1, -1, -2) = 1/350 y - 1/150 x + 1/350 x y z - ---- - 1/175 x z + 2100 + + 2 2 191 2 + + 1/200 x z - 1/100 z - 1/175 y z - 1/500 x y + ----- z + 1/200 y z + 14700 + + 3 3 2 167 167 2 + - 1/150 y + 1/150 z - 1/245 y z + ---- x + ---- y - 1/700 x y + 7000 7000 + + 2 2 2 2 187 + + 1/350 x - 1/245 x z - 1/700 x y , COEFF(0, -1, -2) = 1/175 x + ---- y + 7000 + + 29 2 3 311 3 2 + - ---- - 1/245 y z - 1/150 y + ----- z + 1/150 z - 1/175 y z - 1/100 z + 2100 14700 + + 2 2 2 2 + + 1/350 y + 1/200 y z - 2/245 x z - 1/350 x y, COEFF(1, -1, -2) = + + 17 167 167 2 2 191 + - ---- + 1/500 x y - ---- x + ---- y + 1/700 x y - 1/700 x y + ----- z + 2100 7000 7000 14700 + + 2 3 2 3 + - 1/200 x z - 1/150 y - 1/245 y z - 1/175 y z + 1/175 x z + 1/150 z + + 2 2 3 2 2 + + 1/200 y z + 1/350 y - 1/350 x y z + 1/150 x - 1/245 x z - 1/100 z + + 2 169 107 2 3 + + 1/350 x , COEFF(2, -1, -2) = - ----- z + ---- y + 1/200 y z - 1/300 x + 14700 7000 + + 2 2 2 3 2 + - 1/100 z + 2/175 x z + 2/245 x z + 1/350 y + 1/150 z + 1/350 x y + + 2 47 2 2 + - 1/175 x + ---- x - 1/175 y z - 1/175 x y z - 1/245 y z + 1/350 x y + 5250 + + 3 2 19 + - 1/150 y - 1/100 x z + 1/250 x y + ----, COEFF(-2, 0, -2) = 1/300 + 2100 + + 2 3 17 3 2 + - 1/300 z - 1/100 z + 1/150 z - 2/175 x z - ---- x + 1/300 x + 1/175 y + 5250 + + 2 2 2 2 2 + + 2/245 x z - 1/175 x + 1/100 x z - 1/175 x y - 2/245 y z, + + 2 2 311 2 3 + COEFF(-1, 0, -2) = - 1/100 z + 1/350 x + ----- z - 1/245 x z - 1/150 x + 14700 + + 3 2 2 187 2 + + 1/150 z - 1/175 x z - 1/350 x y - 2/245 y z + ---- x + 1/175 y + 7000 + + 2 29 2 41 2 + + 1/200 x z - ----, COEFF(0, 0, -2) = - 1/100 z - ---- - 2/245 x z + 2100 2100 + + 2 3 2 431 2 + + 1/175 y + 1/150 z - 2/245 y z + ----- z + 1/175 x , COEFF(1, 0, -2) + 14700 + + 2 2 3 2 2 311 + = 1/175 y + 1/350 x y + 1/150 z - 1/245 x z - 1/200 x z + ----- z + 14700 + + 187 2 3 2 2 29 + - ---- x - 2/245 y z + 1/175 x z + 1/150 x - 1/100 z + 1/350 x - ----, + 7000 2100 + + 2 3 2 + COEFF(2, 0, -2) = 1/175 y + 1/300 - 1/300 x - 1/100 z - 1/300 z + + 2 2 2 3 2 + + 2/175 x z + 1/175 x y + 2/245 x z - 2/245 y z + 1/150 z - 1/175 x + + 2 17 47 2 + - 1/100 x z + ---- x, COEFF(-2, 1, -2) = - ---- x - 1/245 y z + 5250 5250 + + 3 19 2 2 + - 2/175 x z + 1/150 y + ---- - 1/175 x - 1/200 y z - 1/175 x y z + 2100 + + 2 2 3 3 2 + + 1/175 y z + 1/100 x z - 1/350 x y + 1/150 z + 1/300 x + 2/245 x z + + 2 2 169 2 107 + + 1/350 y - 1/100 z - ----- z + 1/250 x y - 1/350 x y - ---- y, + 14700 7000 + + 191 3 + COEFF(-1, 1, -2) = - 1/350 x y z + ----- z + 1/175 y z + 1/150 z + 14700 + + 2 2 2 167 + + 1/500 x y - 1/175 x z - 1/700 x y + 1/350 x + 1/700 x y + ---- x + 7000 + + 2 2 3 2 17 2 + + 1/200 x z - 1/200 y z - 1/150 x + 1/350 y - ---- - 1/245 x z + 2100 + + 2 167 2 3 29 + - 1/245 y z - ---- y - 1/100 z + 1/150 y , COEFF(0, 1, -2) = - ---- + 7000 2100 + + 2 2 2 2 2 2 + - 1/200 y z - 1/100 z - 1/245 y z + 1/350 x y + 1/175 x - 2/245 x z + + 311 187 3 3 2 + + ----- z + 1/175 y z - ---- y + 1/150 y + 1/150 z + 1/350 y , + 14700 7000 + + 167 2 2 3 2 + COEFF(1, 1, -2) = - ---- x + 1/700 x y - 1/245 y z + 1/150 y - 1/100 z + 7000 + + 2 3 17 2 191 + - 1/200 y z + 1/150 z - ---- + 1/350 y + 1/175 x z + ----- z + 2100 14700 + + 2 3 2 + + 1/175 y z + 1/350 x + 1/150 x + 1/350 x y z - 1/200 x z - 1/500 x y + + 2 2 167 2 + - 1/245 x z + 1/700 x y - ---- y, COEFF(2, 1, -2) = - 1/245 y z + 7000 + + 2 2 2 107 + - 1/350 x y + 2/175 x z - 1/100 x z - 1/250 x y - 1/100 z - ---- y + 7000 + + 3 2 19 169 + + 1/150 z + 1/175 x y z + 1/175 y z + 1/350 y + ---- - ----- z + 2100 14700 + + 3 2 2 2 3 47 + + 1/150 y + 1/350 x y - 1/200 y z - 1/175 x - 1/300 x + ---- x + 5250 + + 2 3 2 2 + + 2/245 x z, COEFF(-2, 2, -2) = 1/150 z - 1/175 x + 2/245 y z + + 2 2 3 2 2 + - 1/100 y z + 1/100 x z - 1/300 y + 1/175 x y - 1/175 x y - 2/175 x z + + 529 2 11 + + 2/175 y z - ----- z + 2/245 x z - 2/175 x y z + 1/125 x y + --- + 14700 420 + + 3 137 2 2 137 + + 1/300 x + ---- y - 1/100 z - 1/175 y - ---- x, COEFF(-1, 2, -2) = + 5250 5250 + + 3 47 3 3 2 2 + - 1/300 y + ---- y + 1/150 z - 1/150 x + 1/350 x y + 1/200 x z + 5250 + + 2 169 2 2 + + 1/350 x y - ----- z - 1/175 x z - 1/245 x z - 1/100 z + 1/250 x y + 14700 + + 2 107 19 2 2 + + 1/350 x + 2/175 y z + ---- x + ---- - 1/100 y z + 2/245 y z + 7000 2100 + + 2 2 + - 1/175 x y z - 1/175 y , COEFF(0, 2, -2) = 2/175 y z - 2/245 x z + + 2 3 2 17 2 + + 1/175 x y + 1/150 z - 1/100 z + 1/300 + ---- y - 1/100 y z + 5250 + + 2 2 3 2 + + 2/245 y z + 1/175 x - 1/300 z - 1/300 y - 1/175 y , COEFF(1, 2, -2) + + 3 2 169 107 + = 1/175 x y z - 1/300 y - 1/200 x z - ----- z - ---- x + 2/175 y z + 14700 7000 + + 2 2 2 19 2 + + 2/245 y z - 1/100 z - 1/250 x y - 1/245 x z + ---- - 1/350 x y + 2100 + + 47 2 3 3 2 2 + + ---- y - 1/175 y + 1/150 z + 1/150 x - 1/100 y z + 1/350 x y + 5250 + + 2 2 2 + + 1/350 x + 1/175 x z, COEFF(2, 2, -2) = - 1/100 x z - 1/175 x y + + 137 3 2 3 2 + + ---- x + 2/175 x y z - 1/300 y - 1/175 y + 1/150 z + 2/245 x z + 5250 + + 3 137 2 2 2 + - 1/300 x + ---- y - 1/125 x y - 1/175 x - 1/100 z + 2/245 y z + 5250 + + 529 11 2 2 + - ----- z + --- + 2/175 x z + 2/175 y z - 1/100 y z - 1/175 x y , + 14700 420 + + 2 107 2 3 + COEFF(-2, -2, -1) = - 1/245 x z + ---- y - 1/50 y z - 2/75 z + 1/175 y z + 7000 + + 2 2 2 3 + - 1/50 x z - 8/525 - 1/350 y - 1/250 x y + 1/350 x y + 1/600 x + + 3 2 107 2 2 + + 1/600 y - 1/175 x y z - 1/350 x + ---- x + 1/50 z + 1/350 x y + 7000 + + 2 256 229 3 + - 1/245 y z + 1/175 x z + ---- z, COEFF(-1, -2, -1) = ----- x - 2/75 z + 3675 10500 + + 2 211 2 2 3 + + 1/350 x z - 1/700 x y + ---- z + 1/490 x z + 1/700 x - 1/300 x + 3675 + + 3 2 2 2 + + 1/600 y + 1/175 y z - 1/350 x y z - 1/245 y z - 1/100 x z - 1/350 y + + 167 2 2 2 + - 1/42 - 1/500 x y + ---- y + 1/50 z + 1/700 x y - 1/50 y z , + 7000 + + 3 2 2 2 2 + COEFF(0, -2, -1) = 1/600 y - 1/350 y + 1/350 x - 1/245 y z + 1/50 z + + 3 2 187 2 + + 1/175 y z - 2/75 z - 1/350 x y + ---- y - 2/75 + 1/245 x z + 4/75 z + 7000 + + 2 229 211 3 + - 1/50 y z , COEFF(1, -2, -1) = - ----- x + 1/175 y z + ---- z + 1/600 y + 10500 3675 + + 2 2 167 + - 1/700 x y + 1/350 x y z + 1/490 x z - 1/42 - 1/350 x z + ---- y + 7000 + + 2 2 2 2 3 2 + - 1/245 y z + 1/50 z - 1/50 y z - 1/700 x y + 1/300 x + 1/700 x + + 2 2 3 + + 1/500 x y + 1/100 x z - 1/350 y - 2/75 z , COEFF(2, -2, -1) = + + 2 2 3 2 + - 1/175 x z - 8/525 + 1/50 z + 1/350 x y - 1/600 x - 1/350 x y + + 2 2 2 107 2 + + 1/175 x y z + 1/50 x z - 1/50 y z - 1/245 y z - ---- x - 1/245 x z + 7000 + + 2 3 256 2 3 107 + - 1/350 y + 1/600 y + ---- z - 1/350 x - 2/75 z + 1/175 y z + ---- y + 3675 7000 + + 2 2 3 + + 1/250 x y, COEFF(-2, -1, -1) = - 1/350 x + 1/700 x y - 1/300 y + + 211 2 2 2 + + 1/175 x z + ---- z + 1/50 z + 1/350 y z - 1/50 x z - 1/100 y z + 3675 + + 2 3 2 167 229 + - 1/700 x y + 1/600 x + 1/490 y z - 1/42 + ---- x + ----- y - 1/500 x y + 7000 10500 + + 2 3 2 + - 1/245 x z - 1/350 x y z - 2/75 z + 1/700 y , COEFF(-1, -1, -1) = + + 3 2 2 17 2 + - 1/300 y - 1/100 y z + 1/700 y - --- - 1/100 x z - 1/1000 x y + 525 + + 2 2 2 137 3 + - 1/1400 x y + 1/50 z + 1/700 x - 1/700 x y z + ---- y - 1/300 x + 5250 + + 2 2 137 166 + - 1/1400 x y + 1/350 y z + 1/490 y z + 1/350 x z + ---- x + ---- z + 5250 3675 + + 2 3 2 37 289 + + 1/490 x z - 2/75 z , COEFF(0, -1, -1) = 1/245 x z - ---- + ----- y + 1050 10500 + + 3 2 2 2 2 3 + - 2/75 z + 1/700 y - 1/100 y z + 1/50 z - 1/700 x y - 1/300 y + + 151 2 2 3 + + ---- z + 1/350 x + 1/490 y z + 1/350 y z, COEFF(1, -1, -1) = - 2/75 z + 3675 + + 2 2 2 2 + + 1/50 z + 1/1000 x y + 1/490 y z + 1/700 x + 1/1400 x y + 1/350 y z + + 2 2 137 2 + - 1/350 x z + 1/700 y + 1/700 x y z + 1/100 x z - ---- x - 1/100 y z + 5250 + + 166 3 3 2 17 2 137 + + ---- z - 1/300 y + 1/300 x - 1/1400 x y - --- + 1/490 x z + ---- y, + 3675 525 5250 + + 2 229 211 2 2 + COEFF(2, -1, -1) = 1/50 z + ----- y + ---- z - 1/100 y z + 1/50 x z + 10500 3675 + + 3 2 2 + + 1/350 x y z - 1/42 - 1/600 x - 1/245 x z - 1/350 x - 1/175 x z + + 2 167 2 3 2 + + 1/500 x y + 1/700 x y - ---- x + 1/490 y z - 2/75 z + 1/700 y + 7000 + + 3 2 187 + + 1/350 y z - 1/300 y + 1/700 x y , COEFF(-2, 0, -1) = ---- x + 7000 + + 2 3 3 2 2 + - 1/245 x z - 2/75 - 2/75 z + 1/600 x + 4/75 z - 1/50 x z + 1/50 z + + 2 2 2 2 + + 1/350 y - 1/350 x + 1/245 y z - 1/350 x y + 1/175 x z, + + 2 2 2 289 2 + COEFF(-1, 0, -1) = 1/50 z + 1/700 x + 1/245 y z + ----- x + 1/350 y + 10500 + + 2 2 151 3 2 + - 1/700 x y + 1/490 x z + ---- z - 1/300 x + 1/350 x z - 1/100 x z + 3675 + + 37 3 2 2 + - ---- - 2/75 z , COEFF(0, 0, -1) = 1/245 y z - 4/105 + 1/350 x + 1050 + + 3 2 136 2 2 + - 2/75 z + 1/245 x z + ---- z + 1/350 y + 1/50 z , COEFF(1, 0, -1) = + 3675 + + 2 151 2 2 2 + 1/490 x z + ---- z + 1/700 x y + 1/245 y z + 1/350 y - 1/350 x z + 3675 + + 289 2 3 2 37 2 3 + - ----- x + 1/700 x - 2/75 z + 1/100 x z - ---- + 1/50 z + 1/300 x , + 10500 1050 + + 2 3 187 2 2 + COEFF(2, 0, -1) = 1/350 y - 2/75 - 1/600 x - ---- x - 1/350 x + 1/50 z + 7000 + + 2 2 3 2 + - 1/175 x z + 1/350 x y + 1/245 y z + 4/75 z - 2/75 z + 1/50 x z + + 2 2 3 + - 1/245 x z, COEFF(-2, 1, -1) = 1/175 x z - 1/350 x + 1/300 y + + 3 2 2 2 + + 1/600 x - 1/245 x z + 1/500 x y - 1/350 y z + 1/50 z - 1/50 x z + + 2 2 2 3 167 + + 1/700 y - 1/700 x y + 1/100 y z - 2/75 z + 1/350 x y z + ---- x + 7000 + + 2 229 2 211 + + 1/490 y z - ----- y - 1/700 x y - 1/42 + ---- z, COEFF(-1, 1, -1) = + 10500 3675 + + 166 2 3 2 + ---- z - 1/100 x z + 1/350 x z - 1/350 y z - 2/75 z + 1/50 z + 3675 + + 2 2 2 137 + + 1/700 x y z + 1/100 y z + 1/1000 x y + 1/700 y + 1/490 x z - ---- y + 5250 + + 2 17 2 2 2 137 + + 1/700 x - --- - 1/1400 x y + 1/1400 x y + 1/490 y z + ---- x + 525 5250 + + 3 3 3 151 37 + - 1/300 x + 1/300 y , COEFF(0, 1, -1) = 1/300 y + ---- z - ---- + 3675 1050 + + 3 2 2 2 2 + - 2/75 z + 1/100 y z + 1/350 x + 1/490 y z + 1/245 x z - 1/350 y z + + 289 2 2 2 166 + - ----- y + 1/50 z + 1/700 y + 1/700 x y, COEFF(1, 1, -1) = ---- z + 10500 3675 + + 2 3 2 2 2 + + 1/700 x + 1/300 x - 1/1000 x y + 1/1400 x y + 1/490 y z + 1/100 x z + + 17 137 3 2 3 137 + - --- - ---- y - 1/700 x y z - 2/75 z + 1/700 y + 1/300 y - ---- x + 525 5250 5250 + + 2 2 2 2 + + 1/100 y z + 1/50 z + 1/1400 x y - 1/350 x z - 1/350 y z + 1/490 x z, + + 2 211 2 2 3 + COEFF(2, 1, -1) = 1/700 y + ---- z + 1/700 x y + 1/50 x z - 2/75 z + 3675 + + 2 3 167 + + 1/100 y z - 1/42 - 1/500 x y - 1/350 x y z - 1/600 x - ---- x + 7000 + + 3 2 2 2 2 + + 1/300 y + 1/50 z - 1/350 y z - 1/245 x z - 1/350 x + 1/490 y z + + 2 229 2 + - 1/700 x y - 1/175 x z - ----- y, COEFF(-2, 2, -1) = - 8/525 + 1/50 y z + 10500 + + 2 2 2 2 + + 1/175 x z - 1/245 y z - 1/350 y + 1/250 x y - 1/245 x z + 1/350 x y + + 3 2 256 3 3 + - 1/600 y - 1/50 x z + ---- z - 2/75 z + 1/175 x y z + 1/600 x + 3675 + + 107 2 2 107 2 + + ---- x + 1/50 z - 1/350 x - 1/175 y z - ---- y - 1/350 x y, + 7000 7000 + + 2 167 2 3 + COEFF(-1, 2, -1) = 1/700 x - ---- y + 1/700 x y - 1/42 - 2/75 z + 7000 + + 2 3 2 2 + + 1/350 x z - 1/100 x z + 1/350 x y z - 1/300 x + 1/50 z + 1/490 x z + + 2 211 229 3 + - 1/175 y z - 1/350 y + ---- z + ----- x - 1/600 y + 1/500 x y + 3675 10500 + + 2 2 2 + + 1/700 x y + 1/50 y z - 1/245 y z, COEFF(0, 2, -1) = - 1/175 y z + + 187 2 2 3 2 3 + - ---- y + 1/350 x y - 1/245 y z - 2/75 z + 1/350 x - 1/600 y + 7000 + + 2 2 2 2 + + 1/245 x z + 4/75 z - 1/350 y + 1/50 z + 1/50 y z - 2/75, + + 2 2 2 + COEFF(1, 2, -1) = 1/50 y z - 1/700 x y + 1/490 x z - 1/350 x z + + 2 3 229 2 2 3 + - 1/245 y z - 2/75 z - ----- x + 1/700 x + 1/700 x y - 1/600 y + 10500 + + 211 2 2 + - 1/500 x y - 1/42 - 1/350 x y z + ---- z + 1/100 x z + 1/50 z + 3675 + + 3 2 167 2 + + 1/300 x - 1/350 y - ---- y - 1/175 y z, COEFF(2, 2, -1) = - 1/350 x + 7000 + + 3 2 107 3 + - 1/600 y - 1/350 x y - 1/250 x y - ---- y - 1/600 x - 1/175 y z + 7000 + + 2 2 256 2 2 + - 1/350 y - 1/175 x z + 1/50 y z + ---- z - 8/525 + 1/50 z - 1/245 y z + 3675 + + 2 107 3 2 2 + + 1/50 x z - ---- x - 1/175 x y z - 2/75 z - 1/245 x z - 1/350 x y, + 7000 + + 33 3 + COEFF(-2, -2, 0) = 2/175 y z + 2/175 x z - 2/175 x y z - --- z + 1/25 z + 490 + + 2 2 2 + - 2/245 y z - 2/245 x z, COEFF(-1, -2, 0) = - 2/245 y z - 9/98 z + + 3 2 + + 1/175 x z + 1/25 z + 1/245 x z + 2/175 y z - 1/175 x y z, + + 2 2 3 + COEFF(0, -2, 0) = 2/175 y z - 1/10 z + 2/245 x z - 2/245 y z + 1/25 z , + + 2 2 + COEFF(1, -2, 0) = - 2/245 y z - 9/98 z + 1/175 x y z + 1/245 x z + + 3 2 + + 1/25 z - 1/175 x z + 2/175 y z, COEFF(2, -2, 0) = - 2/245 x z + + 3 33 2 + + 2/175 y z + 1/25 z - --- z + 2/175 x y z - 2/175 x z - 2/245 y z, + 490 + + 2 3 + COEFF(-2, -1, 0) = - 2/245 x z - 1/175 x y z - 9/98 z + 1/25 z + + 2 2 + + 1/175 y z + 1/245 y z + 2/175 x z, COEFF(-1, -1, 0) = 1/245 x z + + 3 2 57 + - 1/350 x y z + 1/25 z + 1/245 y z + 1/175 y z + 1/175 x z - --- z, + 490 + + 2 2 3 61 + COEFF(0, -1, 0) = 1/245 y z + 2/245 x z + 1/175 y z + 1/25 z - --- z, + 490 + + 2 3 57 2 + COEFF(1, -1, 0) = 1/245 y z + 1/25 z - --- z + 1/245 x z - 1/175 x z + 490 + + 3 + + 1/175 y z + 1/350 x y z, COEFF(2, -1, 0) = 1/25 z - 2/175 x z + + 2 2 + - 2/245 x z + 1/245 y z + 1/175 y z - 9/98 z + 1/175 x y z, + + 2 2 3 + COEFF(-2, 0, 0) = 2/245 y z - 2/245 x z + 2/175 x z + 1/25 z - 1/10 z, + + 61 2 2 3 + COEFF(-1, 0, 0) = 1/175 x z - --- z + 1/245 x z + 2/245 y z + 1/25 z , + 490 + + 3 2 13 2 + COEFF(0, 0, 0) = 1/25 z + 2/245 y z - -- z + 2/245 x z, + 98 + + 3 61 2 2 + COEFF(1, 0, 0) = 1/25 z - --- z + 2/245 y z + 1/245 x z - 1/175 x z, + 490 + + 2 3 2 + COEFF(2, 0, 0) = - 1/10 z - 2/245 x z - 2/175 x z + 1/25 z + 2/245 y z, + + 2 3 2 + COEFF(-2, 1, 0) = - 9/98 z - 2/245 x z + 1/25 z + 1/245 y z + + + 1/175 x y z + 2/175 x z - 1/175 y z, COEFF(-1, 1, 0) = - 1/175 y z + + 2 2 57 3 + + 1/175 x z + 1/245 x z + 1/245 y z + 1/350 x y z - --- z + 1/25 z , + 490 + + 2 2 61 3 + COEFF(0, 1, 0) = 2/245 x z - 1/175 y z + 1/245 y z - --- z + 1/25 z , + 490 + + 57 2 + COEFF(1, 1, 0) = - --- z + 1/245 y z - 1/350 x y z - 1/175 y z - 1/175 x z + 490 + + 3 2 2 + + 1/25 z + 1/245 x z, COEFF(2, 1, 0) = 1/245 y z - 2/175 x z - 9/98 z + + 2 3 + - 1/175 y z - 2/245 x z - 1/175 x y z + 1/25 z , COEFF(-2, 2, 0) = + + 2 3 2 + 2/175 x z - 2/245 y z + 2/175 x y z + 1/25 z - 2/175 y z - 2/245 x z + + 33 2 + - --- z, COEFF(-1, 2, 0) = - 2/175 y z + 1/175 x z + 1/245 x z + 490 + + 2 3 + - 2/245 y z + 1/175 x y z - 9/98 z + 1/25 z , + + 3 2 2 + COEFF(0, 2, 0) = - 2/175 y z + 1/25 z + 2/245 x z - 2/245 y z - 1/10 z, + + 2 3 + COEFF(1, 2, 0) = - 9/98 z - 2/245 y z - 1/175 x y z - 2/175 y z + 1/25 z + + 2 3 33 + + 1/245 x z - 1/175 x z, COEFF(2, 2, 0) = - 2/175 x y z + 1/25 z - --- z + 490 + + 2 2 + - 2/175 y z - 2/245 y z - 2/175 x z - 2/245 x z, COEFF(-2, -2, 1) = + + 2 2 107 3 3 + - 1/245 x z + 1/350 y - ---- y - 1/600 x + 1/175 y z - 2/75 z + 7000 + + 2 2 107 + + 1/50 x z - 1/350 x y - ---- x + 8/525 + 1/250 x y + 1/175 x z + 7000 + + 2 2 2 3 2 2 + - 1/245 y z - 1/350 x y - 1/50 z - 1/600 y + 1/50 y z + 1/350 x + + 256 3 3 2 + - 1/175 x y z + ---- z, COEFF(-1, -2, 1) = - 2/75 z - 1/600 y + 1/350 y + 3675 + + 2 2 3 2 2 + + 1/700 x y + 1/50 y z + 1/300 x - 1/50 z + 1/350 x z + 1/100 x z + + 229 2 167 2 + - ----- x + 1/490 x z + 1/500 x y - 1/350 x y z - ---- y - 1/700 x + 10500 7000 + + 2 211 2 + - 1/245 y z + 1/175 y z + ---- z - 1/700 x y + 1/42, COEFF(0, -2, 1) = + 3675 + + 187 2 2 2 2 + 4/75 z - ---- y + 1/350 y + 1/50 y z - 1/350 x + 1/350 x y + 2/75 + 7000 + + 3 3 2 2 2 + + 1/175 y z - 2/75 z - 1/600 y - 1/50 z - 1/245 y z + 1/245 x z, + + 2 3 2 + COEFF(1, -2, 1) = 1/490 x z - 2/75 z + 1/700 x y - 1/500 x y + 1/175 y z + + 211 2 2 2 2 + + ---- z + 1/42 - 1/700 x - 1/50 z + 1/350 y - 1/350 x z + 1/50 y z + 3675 + + 2 229 2 167 2 + + 1/700 x y + 1/350 x y z + ----- x - 1/100 x z - ---- y - 1/245 y z + 10500 7000 + + 3 3 107 2 107 + - 1/300 x - 1/600 y , COEFF(2, -2, 1) = ---- x - 1/50 z - ---- y + 7000 7000 + + 2 2 2 3 2 + + 1/350 x y + 1/50 y z + 1/350 y - 1/250 x y - 2/75 z - 1/350 x y + + 3 256 3 2 + + 1/600 x + ---- z - 1/600 y + 1/175 x y z - 1/175 x z - 1/245 x z + 3675 + + 2 2 2 + + 1/350 x + 1/175 y z + 8/525 - 1/50 x z - 1/245 y z, COEFF(-2, -1, 1) + + 2 2 229 211 + = 1/42 + 1/350 x - 1/350 x y z + 1/700 x y - ----- y + ---- z + 10500 3675 + + 2 3 2 167 + + 1/490 y z - 2/75 z - 1/50 z - ---- x + 1/500 x y + 1/350 y z + 7000 + + 2 2 3 2 3 2 + + 1/50 x z - 1/700 x y - 1/600 x - 1/245 x z + 1/300 y + 1/100 y z + + 2 2 2 + + 1/175 x z - 1/700 y , COEFF(-1, -1, 1) = - 1/50 z + 1/490 x z + + 2 2 137 166 137 2 + + 1/100 x z - 1/700 y - ---- y + ---- z - ---- x + 1/1400 x y + 5250 3675 5250 + + 3 2 17 2 + + 1/300 x + 1/350 x z + 1/1400 x y + --- - 1/700 x + 1/350 y z + 525 + + 2 3 2 3 + - 1/700 x y z + 1/490 y z + 1/1000 x y - 2/75 z + 1/100 y z + 1/300 y , + + 2 37 2 2 3 + COEFF(0, -1, 1) = 1/490 y z + ---- + 1/700 x y - 1/700 y + 1/300 y + 1050 + + 2 289 2 2 151 + - 1/350 x - ----- y + 1/100 y z + 1/245 x z + ---- z + 1/350 y z + 10500 3675 + + 2 3 166 137 + - 1/50 z - 2/75 z , COEFF(1, -1, 1) = ---- z + ---- x - 1/350 x z + 3675 5250 + + 2 3 2 3 3 2 + + 1/490 y z + 1/300 y - 1/100 x z - 2/75 z - 1/300 x + 1/490 x z + + 2 2 17 2 + - 1/1000 x y - 1/700 y - 1/50 z + --- + 1/1400 x y + 1/350 y z + 525 + + 2 2 137 2 + + 1/100 y z - 1/1400 x y + 1/700 x y z - ---- y - 1/700 x , + 5250 + + 3 2 167 2 2 + COEFF(2, -1, 1) = - 2/75 z - 1/245 x z + ---- x + 1/350 x - 1/50 z + 7000 + + 2 3 229 2 211 + - 1/175 x z + 1/100 y z + 1/300 y - ----- y + 1/490 y z + ---- z + 1/42 + 10500 3675 + + 2 2 2 2 3 + - 1/50 x z + 1/350 x y z - 1/700 x y - 1/700 y - 1/700 x y + 1/600 x + + 3 2 + + 1/350 y z - 1/500 x y, COEFF(-2, 0, 1) = - 1/600 x + 1/245 y z + + 2 187 2 2 + + 1/350 x y - ---- x + 4/75 z - 1/50 z + 2/75 + 1/350 x + 1/175 x z + 7000 + + 2 2 2 3 + - 1/245 x z + 1/50 x z - 1/350 y - 2/75 z , COEFF(-1, 0, 1) = 1/350 x z + + 2 3 289 2 2 2 37 + - 1/350 y - 2/75 z - ----- x + 1/490 x z - 1/50 z + 1/700 x y + ---- + 10500 1050 + + 3 2 2 2 151 + + 1/300 x + 1/100 x z - 1/700 x + 1/245 y z + ---- z, COEFF(0, 0, 1) + 3675 + + 2 2 3 136 2 2 + = - 1/50 z - 1/350 x - 2/75 z + ---- z - 1/350 y + 1/245 x z + 4/105 + 3675 + + 2 289 3 3 + + 1/245 y z, COEFF(1, 0, 1) = ----- x - 2/75 z - 1/350 x z - 1/300 x + 10500 + + 2 2 37 2 2 2 + + 1/245 y z - 1/50 z + ---- - 1/700 x y - 1/100 x z - 1/700 x + 1050 + + 151 2 2 187 3 + + ---- z + 1/490 x z - 1/350 y , COEFF(2, 0, 1) = ---- x + 2/75 - 2/75 z + 3675 7000 + + 2 2 2 2 + - 1/350 y - 1/175 x z + 4/75 z + 1/350 x - 1/245 x z - 1/50 z + + 2 2 2 3 + + 1/245 y z - 1/50 x z - 1/350 x y + 1/600 x , COEFF(-2, 1, 1) = + + 2 229 3 2 2 3 + 1/490 y z + ----- y - 1/600 x + 1/700 x y - 1/50 z - 2/75 z + 10500 + + 211 2 2 2 + - 1/500 x y + ---- z + 1/350 x + 1/350 x y z - 1/700 y - 1/100 y z + 3675 + + 2 3 2 2 + + 1/42 + 1/50 x z + 1/175 x z - 1/300 y + 1/700 x y - 1/245 x z + + 167 2 2 + - 1/350 y z - ---- x, COEFF(-1, 1, 1) = 1/1400 x y - 1/50 z - 1/1000 x y + 7000 + + 2 3 2 2 3 + - 1/700 x - 2/75 z - 1/1400 x y - 1/350 y z + 1/490 y z - 1/300 y + + 2 2 2 + + 1/700 x y z + 1/490 x z - 1/100 y z + 1/350 x z + 1/100 x z + + 2 137 166 3 17 137 + - 1/700 y - ---- x + ---- z + 1/300 x + --- + ---- y, COEFF(0, 1, 1) = + 5250 3675 525 5250 + + 2 2 3 37 289 2 + - 1/350 y z - 1/700 x y - 1/700 y - 2/75 z + ---- + ----- y - 1/50 z + 1050 10500 + + 2 2 2 2 3 151 + + 1/245 x z + 1/490 y z - 1/350 x - 1/100 y z - 1/300 y + ---- z, + 3675 + + 137 137 2 17 3 + COEFF(1, 1, 1) = ---- x - 1/350 y z + ---- y - 1/700 y + --- - 2/75 z + 5250 5250 525 + + 2 2 2 2 + - 1/350 x z + 1/490 y z - 1/100 y z - 1/700 x - 1/100 x z + + 2 3 2 + - 1/700 x y z + 1/1000 x y - 1/1400 x y - 1/300 x - 1/1400 x y + + 2 3 166 2 2 + + 1/490 x z - 1/300 y + ---- z - 1/50 z , COEFF(2, 1, 1) = - 1/50 z + 3675 + + 3 2 229 2 2 2 + + 1/600 x - 1/245 x z + ----- y - 1/50 x z - 1/700 y - 1/700 x y + 10500 + + 211 2 2 2 + + ---- z + 1/350 x - 1/350 y z - 1/100 y z - 1/350 x y z + 1/490 y z + 3675 + + 3 167 3 2 + - 2/75 z + 1/42 + 1/500 x y + ---- x - 1/300 y - 1/175 x z + 1/700 x y, + 7000 + + 2 2 3 2 + COEFF(-2, 2, 1) = 1/350 y + 8/525 - 1/50 y z - 1/600 x - 1/350 x y + + 2 2 2 + - 1/250 x y - 1/175 y z + 1/350 x y + 1/350 x - 1/50 z + 1/175 x y z + + 2 107 3 3 2 + - 1/245 x z + ---- y - 2/75 z + 1/175 x z + 1/600 y - 1/245 y z + 7000 + + 107 2 256 2 + - ---- x + 1/50 x z + ---- z, COEFF(-1, 2, 1) = 1/490 x z - 1/175 y z + 7000 3675 + + 2 2 167 2 211 3 + - 1/50 z + 1/350 y + ---- y - 1/50 y z + 1/42 + ---- z + 1/600 y + 7000 3675 + + 229 3 2 3 2 + - ----- x - 2/75 z + 1/350 x y z - 1/700 x y + 1/300 x - 1/700 x + 10500 + + 2 2 2 + + 1/100 x z - 1/245 y z - 1/500 x y + 1/350 x z - 1/700 x y , + + 187 2 2 + COEFF(0, 2, 1) = 2/75 + ---- y - 1/245 y z + 1/350 y - 1/175 y z + 7000 + + 2 3 2 2 2 2 + - 1/50 y z + 1/600 y - 1/350 x - 1/50 z - 1/350 x y + 1/245 x z + + 3 2 2 3 + - 2/75 z + 4/75 z, COEFF(1, 2, 1) = - 1/245 y z - 1/50 z - 2/75 z + + 3 2 + - 1/350 x y z + 1/42 + 1/500 x y - 1/300 x - 1/700 x - 1/350 x z + + 3 2 229 167 211 + + 1/600 y - 1/50 y z + ----- x - 1/175 y z + ---- y + ---- z + 10500 7000 3675 + + 2 2 2 2 2 + + 1/490 x z + 1/350 y + 1/700 x y - 1/100 x z - 1/700 x y, + + 2 2 + COEFF(2, 2, 1) = - 1/245 y z - 1/50 y z - 1/175 y z + 8/525 - 1/175 x y z + + 107 3 107 2 3 + - 1/175 x z + ---- x + 1/250 x y + 1/600 x + ---- y - 1/50 z + 1/600 y + 7000 7000 + + 2 3 256 2 2 2 + + 1/350 x - 2/75 z + ---- z - 1/50 x z - 1/245 x z + 1/350 x y + 3675 + + 2 2 137 2 + + 1/350 y + 1/350 x y, COEFF(-2, -2, 2) = ---- y - 1/175 x y + 5250 + + 2 2 529 2 2 2 + - 1/100 x z + 1/100 z - ----- z - 1/100 y z + 2/245 y z - 1/175 x y + 14700 + + 2 137 3 2 + + 2/175 x y z + 1/175 x - 2/175 x z + ---- x - 1/300 y + 1/175 y + 5250 + + 2 3 3 11 + + 2/245 x z - 1/300 x + 1/150 z + 1/125 x y - --- - 2/175 y z, + 420 + + 2 2 2 + COEFF(-1, -2, 2) = - 2/175 y z + 1/350 x y - 1/245 x z + 2/245 y z + + 2 47 2 3 107 2 + - 1/100 y z + ---- y - 1/350 x y + 1/150 x - ---- x - 1/350 x + 5250 7000 + + 2 2 169 19 + - 1/175 x z + 1/175 y + 1/175 x y z - 1/200 x z - ----- z - ---- + 14700 2100 + + 2 3 3 3 + + 1/100 z + 1/250 x y + 1/150 z - 1/300 y , COEFF(0, -2, 2) = 1/150 z + + 2 2 2 2 2 + + 1/100 z - 1/300 z + 1/175 y + 1/175 x y - 1/100 y z + 2/245 y z + + 2 17 2 3 + - 2/175 y z - 2/245 x z + ---- y - 1/300 - 1/175 x - 1/300 y , + 5250 + + 2 2 2 2 + COEFF(1, -2, 2) = 1/100 z + 1/200 x z + 1/175 y + 1/350 x y - 2/175 y z + + 169 2 2 2 3 3 + - ----- z - 1/350 x + 1/350 x y - 1/245 x z - 1/150 x - 1/300 y + 14700 + + 3 2 107 19 + + 1/150 z - 1/100 y z + 1/175 x z - 1/250 x y + ---- x - ---- + 7000 2100 + + 2 47 + + 2/245 y z - 1/175 x y z + ---- y, COEFF(2, -2, 2) = 2/175 x z + 5250 + + 2 2 2 2 3 2 + + 2/245 y z - 1/175 x y + 1/175 y + 1/175 x + 1/300 x - 1/100 y z + + 529 2 137 + - 2/175 x y z - ----- z + 1/100 z - 1/125 x y - ---- x - 2/175 y z + 14700 5250 + + 2 3 11 137 2 3 + + 1/175 x y - 1/300 y - --- + ---- y + 1/100 x z + 1/150 z + 420 5250 + + 2 2 107 2 19 + + 2/245 x z, COEFF(-2, -1, 2) = - 1/200 y z - ---- y - 1/245 y z - ---- + 7000 2100 + + 2 2 2 3 + - 1/175 y z + 1/250 x y + 1/350 x y + 2/245 x z - 1/100 x z - 1/300 x + + 2 2 3 2 + + 1/175 x - 1/350 x y + 1/175 x y z + 1/150 y + 1/100 z - 2/175 x z + + 2 47 169 3 + - 1/350 y + ---- x - ----- z + 1/150 z , COEFF(-1, -1, 2) = - 1/175 y z + 5250 14700 + + 17 2 167 3 167 + + 1/500 x y + ---- - 1/245 y z - ---- x + 1/150 x + 1/350 x y z - ---- y + 2100 7000 7000 + + 2 3 2 2 2 2 + + 1/700 x y + 1/150 y - 1/350 x - 1/200 y z - 1/350 y - 1/200 x z + + 191 2 3 2 2 + - 1/175 x z + ----- z - 1/245 x z + 1/150 z + 1/700 x y + 1/100 z , + 14700 + + 2 29 2 2 + COEFF(0, -1, 2) = - 1/175 y z - 1/175 x + ---- - 1/245 y z - 2/245 x z + 2100 + + 2 3 2 2 187 2 + - 1/200 y z + 1/150 y - 1/350 y + 1/350 x y - ---- y + 1/100 z + 7000 + + 3 311 2 + + 1/150 z + ----- z, COEFF(1, -1, 2) = - 1/500 x y + 1/175 x z - 1/350 x + 14700 + + 2 167 167 2 2 + - 1/200 y z - ---- y + ---- x + 1/700 x y + 1/200 x z - 1/350 x y z + 7000 7000 + + 3 2 191 2 2 + - 1/150 x + 1/100 z + ----- z - 1/245 x z - 1/175 y z - 1/700 x y + 14700 + + 3 17 2 2 3 + + 1/150 z + ---- - 1/350 y - 1/245 y z + 1/150 y , COEFF(2, -1, 2) = + 2100 + + 169 2 2 2 2 2 + - ----- z - 1/200 y z + 1/100 z - 1/350 x y - 1/350 x y + 1/100 x z + 14700 + + 47 2 19 3 + - ---- x + 2/175 x z + 1/175 x - 1/250 x y - ---- - 1/175 y z + 1/150 y + 5250 2100 + + 3 2 2 2 107 + + 1/150 z + 2/245 x z - 1/175 x y z - 1/350 y - 1/245 y z - ---- y + 7000 + + 3 2 3 + + 1/300 x , COEFF(-2, 0, 2) = - 1/300 - 1/175 y + 1/150 z - 1/300 z + + 2 2 17 2 2 2 + + 2/245 x z + 1/100 z + ---- x - 1/100 x z + 1/175 x - 2/245 y z + 5250 + + 3 2 2 29 + - 2/175 x z - 1/300 x + 1/175 x y , COEFF(-1, 0, 2) = - 1/350 x + ---- + 2100 + + 311 2 2 2 2 + + ----- z - 1/175 y + 1/100 z - 1/245 x z - 1/175 x z - 2/245 y z + 14700 + + 2 187 2 3 3 + + 1/350 x y - ---- x - 1/200 x z + 1/150 z + 1/150 x , COEFF(0, 0, 2) + 7000 + + 431 2 3 2 2 2 41 + = ----- z - 2/245 y z + 1/150 z - 1/175 y - 1/175 x + 1/100 z + ---- + 14700 2100 + + 2 2 2 3 + - 2/245 x z, COEFF(1, 0, 2) = - 2/245 y z - 1/350 x y + 1/150 z + + 3 187 2 311 29 2 + - 1/150 x + ---- x + 1/100 z + ----- z + ---- + 1/175 x z - 1/175 y + 7000 14700 2100 + + 2 2 2 2 + + 1/200 x z - 1/350 x - 1/245 x z, COEFF(2, 0, 2) = 2/245 x z + + 2 2 2 3 2 + - 1/175 x y - 2/245 y z + 1/175 x - 1/300 + 1/300 x - 1/175 y + + 2 17 3 2 + + 1/100 z - ---- x + 1/150 z - 1/300 z + 2/175 x z + 1/100 x z , + 5250 + + 2 3 2 47 + COEFF(-2, 1, 2) = - 1/245 y z - 1/150 y - 1/250 x y + 1/350 x y + ---- x + 5250 + + 2 169 107 2 2 2 + - 1/350 y - ----- z + ---- y + 2/245 x z + 1/100 z + 1/175 x + 14700 7000 + + 3 2 2 2 + + 1/175 y z - 1/300 x + 1/350 x y - 2/175 x z - 1/100 x z + 1/200 y z + + 3 19 2 + + 1/150 z - 1/175 x y z - ----, COEFF(-1, 1, 2) = - 1/200 x z + 2100 + + 2 2 3 3 2 191 + + 1/700 x y - 1/245 y z + 1/150 z - 1/150 y - 1/350 x + ----- z + 14700 + + 167 167 2 + - 1/500 x y + ---- y - 1/350 x y z - ---- x - 1/175 x z - 1/700 x y + 7000 7000 + + 17 2 3 2 2 + + ---- - 1/350 y + 1/150 x + 1/100 z + 1/175 y z - 1/245 x z + 2100 + + 2 2 2 3 + + 1/200 y z , COEFF(0, 1, 2) = - 2/245 x z - 1/350 x y + 1/150 z + + 3 311 29 2 2 187 2 + - 1/150 y + ----- z + ---- - 1/175 x - 1/350 y + ---- y + 1/100 z + 14700 2100 7000 + + 2 2 191 167 + - 1/245 y z + 1/175 y z + 1/200 y z , COEFF(1, 1, 2) = ----- z + ---- y + 14700 7000 + + 2 3 2 2 + - 1/245 x z - 1/150 y - 1/350 x + 1/350 x y z + 1/500 x y - 1/700 x y + + 2 17 2 3 2 + - 1/350 y + ---- - 1/700 x y + 1/150 z + 1/175 y z + 1/100 z + 2100 + + 2 167 2 3 2 + + 1/200 x z + ---- x - 1/245 y z - 1/150 x + 1/175 x z + 1/200 y z , + 7000 + + 3 47 2 3 169 + COEFF(2, 1, 2) = - 1/150 y - ---- x - 1/350 x y + 1/300 x - ----- z + 5250 14700 + + 2 2 2 107 + + 1/175 x y z + 1/350 x y - 1/245 y z + 2/175 x z + 1/100 x z + ---- y + 7000 + + 2 2 2 2 + + 1/175 y z + 1/200 y z - 1/350 y + 1/100 z + 1/250 x y + 2/245 x z + + 19 3 2 2 + - ---- + 1/150 z + 1/175 x , COEFF(-2, 2, 2) = 2/245 x z - 2/175 x y z + 2100 + + 2 2 2 137 + - 2/175 x z + 2/245 y z + 1/175 x y - 1/125 x y + 1/100 y z - ---- y + 5250 + + 2 2 2 11 3 3 137 + + 1/100 z + 1/175 y - 1/175 x y - --- + 1/150 z - 1/300 x + ---- x + 420 5250 + + 3 2 2 529 + + 1/300 y + 1/175 x - 1/100 x z + 2/175 y z - ----- z, COEFF(-1, 2, 2) + 14700 + + 2 3 2 2 + = - 1/245 x z + 1/150 x - 1/250 x y - 1/175 x z + 1/175 y - 1/350 x + + 2 3 169 107 2 + + 1/100 y z + 1/150 z - ----- z - 1/175 x y z - ---- x - 1/200 x z + 14700 7000 + + 2 2 3 47 19 + + 1/100 z + 2/175 y z + 2/245 y z + 1/300 y - ---- y - ---- + 5250 2100 + + 2 2 2 17 + - 1/350 x y - 1/350 x y, COEFF(0, 2, 2) = - 2/245 x z - ---- y + 5250 + + 2 2 2 3 + - 1/175 x y + 2/175 y z + 1/100 y z - 1/300 - 1/175 x + 1/300 y + + 3 2 2 2 + + 1/150 z - 1/300 z + 1/175 y + 2/245 y z + 1/100 z , COEFF(1, 2, 2) = + + 2 19 169 2 2 + - 1/350 x - ---- + 1/175 x z - ----- z - 1/245 x z + 1/175 y + 1/250 x y + 2100 14700 + + 2 107 3 2 47 + + 1/100 z + 1/175 x y z + ---- x + 1/300 y + 1/350 x y - ---- y + 7000 5250 + + 2 3 2 2 3 + - 1/350 x y + 2/175 y z - 1/150 x + 2/245 y z + 1/200 x z + 1/150 z + + 2 2 2 11 + + 1/100 y z , COEFF(2, 2, 2) = 1/175 x + 1/125 x y + 1/100 z - --- + 420 + + 529 137 2 137 2 3 + - ----- z - ---- y + 1/175 y - ---- x + 1/100 x z + 2/175 x z + 1/300 x + 14700 5250 5250 + + 2 3 3 2 2 + + 2/245 x z + 1/300 y + 1/150 z + 2/245 y z + 1/175 x y + 2/175 y z + + 2 2 + + 1/175 x y + 1/100 y z + 2/175 x y z] + +> print_coeffs__lc_of_data(%, "coeffs_dz->coeff_", "fp", +> "3d.coeffs/3d.cube.order4.smooth0/coeffs-dz.compute.c"); +bytes used=1755536768, 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alloc=14677376, time=282.07 +bytes used=1909603516, alloc=14677376, time=282.15 +bytes used=1910603764, alloc=14677376, time=282.23 +bytes used=1911604080, alloc=14677376, time=282.30 +bytes used=1912604252, alloc=14677376, time=282.38 +bytes used=1913604404, alloc=14677376, time=282.70 +bytes used=1914604644, alloc=14677376, time=283.07 +bytes used=1915604848, alloc=14677376, time=283.22 +bytes used=1916605080, alloc=14677376, time=286.71 +bytes used=1917605272, alloc=14677376, time=287.55 +bytes used=1918605556, alloc=14677376, time=287.81 +bytes used=1919605724, alloc=14677376, time=287.96 +bytes used=1920605944, alloc=14677376, time=288.02 +bytes used=1921606152, alloc=14677376, time=288.16 +bytes used=1922606352, alloc=14677376, time=288.29 +> +# d^2/dx^2 +> simplify( diff(interp_3d_cube_order4_smooth0,x,x) ); +bytes used=1923619420, alloc=14677376, time=288.45 +bytes used=1924619616, alloc=14677376, time=288.53 +bytes used=1925619916, alloc=14677376, time=288.62 +bytes used=1926620136, alloc=14677376, time=288.71 +bytes used=1927620292, alloc=14677376, time=288.79 +bytes used=1928620476, alloc=14677376, time=288.87 +bytes used=1929621504, alloc=14677376, time=288.95 +bytes used=1930621684, alloc=14677376, time=289.04 +bytes used=1931621808, alloc=14677376, time=289.12 +bytes used=1932622612, alloc=14677376, time=289.22 +bytes used=1933622820, alloc=14677376, time=289.30 + 169 +- 1/10 DATA(0, -2, 0) - ----- DATA(-2, -2, 1) - 1/700 y z DATA(1, -1, -1) + 14700 + + 211 + + ---- DATA(1, -2, 1) - 1/700 y z DATA(-1, -1, -1) - 9/98 DATA(0, -2, 1) + 3675 + + 311 + + 4/75 DATA(1, -2, 0) - 9/98 DATA(0, 2, -1) + ----- DATA(2, 0, -1) + 14700 + + 211 + + ---- DATA(-1, -2, 1) - 9/98 DATA(0, -1, 2) + 1/700 y z DATA(1, 1, -1) + 3675 + + + 1/700 y z DATA(-1, 1, -1) - 1/700 y z DATA(-1, 1, 1) + + 191 169 + + ----- DATA(-2, -1, 1) - 1/300 DATA(2, -2, 0) - ----- DATA(2, -2, 1) + 14700 14700 + + 311 311 + + 1/25 x DATA(-1, -2, -1) + ----- DATA(-2, 0, 1) + ----- DATA(-2, 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-2, -2) + 14700 + + - 1/350 y z DATA(0, -1, -1) + 1/100 x y DATA(-2, -1, 1) + + - 1/175 y z DATA(0, -1, -2) + 1/100 x y DATA(2, 1, -2) + + 529 + + 1/50 x y DATA(-1, 1, -2) - ----- DATA(-2, 2, 2) + 14700 + + - 1/100 x y DATA(-2, 1, 1) - 1/50 x y DATA(1, 1, 1) + + 256 + + 1/25 x y DATA(-1, 2, -1) + ---- DATA(1, -2, -2) + 3675 + + + 1/175 y z DATA(0, -1, 2) - 2/175 y z DATA(0, -2, -2) + + + 1/350 y z DATA(0, -1, 1) + 1/350 y z DATA(0, 1, -1) + + 2 + + 1/175 y z DATA(0, 2, -1) + 1/245 y DATA(0, 1, -1) + + 2 2 + + 1/245 y DATA(0, -1, -1) + 1/245 y DATA(0, -1, 1) + + 2 33 + - 2/245 y DATA(0, -2, -2) - --- DATA(0, -2, -2) - 1/175 y DATA(0, 1, -2) + 490 + + 2 2 + + 1/245 y DATA(0, -1, -2) - 2/245 y DATA(0, 2, -1) + + 2 + + 1/245 y DATA(0, -1, 2) - 2/175 y DATA(0, 2, 1) + + 256 + + 2/175 y DATA(0, -2, -1) + ---- DATA(-1, -2, -2) - 2/175 y DATA(0, 2, 2) + 3675 + + + 2/175 y DATA(0, -2, 1) - 2/175 y DATA(0, 2, -2) - 1/175 y DATA(0, 1, 1) + + - 1/175 y DATA(0, 1, 2) + 2/175 y DATA(0, -2, 2) + 1/175 y DATA(0, -1, -1) + + 2 2 + + 1/245 z DATA(0, 2, -1) - 2/245 z DATA(0, -1, 2) + + 169 + - ----- DATA(-2, -1, -2) - 1/50 x y DATA(2, -2, 1) + 14700 + + 529 211 + - 1/100 x y DATA(2, -1, -1) - ----- DATA(2, -2, -2) + ---- DATA(1, -1, -2) + 14700 3675 + + 211 + - 9/98 DATA(0, -1, -2) + ---- DATA(-1, -1, -2) + 1/50 x y DATA(-2, -2, 1) + 3675 + + 169 + + 1/25 x y DATA(1, -2, 1) - 1/300 DATA(-2, 0, -2) - ----- DATA(2, -1, -2) + 14700 + + - 1/10 DATA(0, 0, -2) + 4/75 DATA(-1, 0, -2) + 2/175 z DATA(0, -1, -2) + + + 4/75 DATA(1, 0, -2) - 1/25 x DATA(1, 0, -2) + +> coeffs_as_lc_of_data(%, posn_list_3d_size5); +bytes used=1934688616, alloc=14677376, time=289.39 +bytes used=1935688836, alloc=14677376, time=289.48 +bytes used=1936759636, alloc=14677376, time=289.57 +bytes used=1937759980, alloc=14677376, time=289.65 +bytes used=1938779044, alloc=14677376, time=289.73 +bytes used=1939863560, alloc=14677376, time=289.82 +bytes used=1940863700, alloc=14677376, time=289.91 +bytes used=1941863848, alloc=14677376, time=290.00 +bytes used=1942864264, alloc=14677376, time=290.08 +bytes used=1943864528, alloc=14677376, time=290.17 +bytes used=1944864900, alloc=14677376, time=290.26 +bytes used=1945865020, alloc=14677376, time=290.35 +bytes used=1946905692, alloc=14677376, time=290.44 +bytes used=1947905816, alloc=14677376, time=290.53 +bytes used=1948917232, alloc=14677376, time=290.63 +bytes used=1949934968, alloc=14677376, time=290.72 +bytes used=1950936392, alloc=14677376, time=290.82 +bytes used=1951936576, alloc=14677376, time=290.92 +bytes used=1952945852, alloc=14677376, time=291.02 +bytes used=1953957504, alloc=14677376, time=291.12 +bytes used=1954957664, alloc=14677376, time=291.22 +bytes used=1955957780, alloc=14677376, time=291.33 +bytes used=1956972780, alloc=14677376, time=291.44 +bytes used=1957973956, alloc=14677376, time=291.55 +bytes used=1958984176, alloc=14677376, time=291.66 +bytes used=1959992920, alloc=14677376, time=291.74 +bytes used=1961011124, alloc=14677376, time=291.82 +bytes used=1962029256, alloc=14677376, time=291.89 +bytes used=1963047124, alloc=14677376, time=291.97 + 529 2 +[COEFF(-2, -2, -2) = - ----- + 2/245 z - 1/50 x - 2/175 y + 2/175 y z + 14700 + + 2 2 + + 1/50 x z + 1/50 x + 2/245 y + 1/50 x y - 2/175 z, COEFF(-1, -2, -2) = + + 2 2 256 + - 1/25 x z - 1/245 y + 1/175 y - 2/25 x + ---- - 1/25 x y - 1/175 y z + 3675 + + 2 + + 1/25 x - 1/245 z + 1/175 z, COEFF(0, -2, -2) = + + 2 2 33 2 + - 2/245 z + 3/25 x - --- - 2/175 y z + 2/175 z + 2/175 y - 2/245 y , + 490 + + 2 2 + COEFF(1, -2, -2) = 1/175 y + 1/175 z + 1/25 x y - 2/25 x - 1/245 y + + 256 2 + - 1/25 x + 1/25 x z + ---- - 1/245 z - 1/175 y z, COEFF(2, -2, -2) = + 3675 + + 2 529 2 + - 2/175 y + 2/245 y - 1/50 x z - ----- - 2/175 z + 1/50 x + 1/50 x + 14700 + + 2 2 + + 2/175 y z - 1/50 x y + 2/245 z , COEFF(-2, -1, -2) = - 1/245 y + + 2 2 + + 1/100 x y - 1/175 y + 2/245 z - 1/50 x - 2/175 z + 1/50 x + 1/50 x z + + 169 2 2 + + 1/175 y z - -----, COEFF(-1, -1, -2) = - 2/25 x - 1/50 x y + 1/490 y + 14700 + + 211 2 + + ---- + 1/350 y + 1/175 z + 1/25 x - 1/245 z - 1/25 x z - 1/350 y z, + 3675 + + COEFF(0, -1, -2) = + + 2 2 2 + 1/245 y - 2/245 z - 9/98 - 1/175 y z + 1/175 y + 2/175 z + 3/25 x , + + 211 2 2 + COEFF(1, -1, -2) = ---- - 1/350 y z + 1/490 y - 2/25 x + 1/50 x y + 3675 + + 2 + + 1/25 x z - 1/25 x - 1/245 z + 1/175 z + 1/350 y, COEFF(2, -1, -2) = + + 2 2 + 1/175 y z - 1/175 y - 1/100 x y + 1/50 x + 2/245 z - 2/175 z + 1/50 x + + 169 2 + - ----- - 1/50 x z - 1/245 y , COEFF(-2, 0, -2) = + 14700 + + 2 2 2 + - 2/175 z + 1/50 x + 2/245 z + 1/50 x z - 2/245 y - 1/50 x - 1/300, + + COEFF(-1, 0, -2) = + + 2 2 2 + 4/75 + 1/25 x - 2/25 x - 1/245 z + 1/245 y - 1/25 x z + 1/175 z, + + 2 2 2 + COEFF(0, 0, -2) = - 2/245 z + 3/25 x - 1/10 + 2/245 y + 2/175 z, + + COEFF(1, 0, -2) = + + 2 2 2 + - 1/245 z + 4/75 + 1/245 y - 1/25 x + 1/25 x z + 1/175 z - 2/25 x , + + COEFF(2, 0, -2) = + + 2 2 2 + 2/245 z - 1/300 + 1/50 x - 2/245 y + 1/50 x - 2/175 z - 1/50 x z, + + 2 + COEFF(-2, 1, -2) = - 1/175 y z + 1/50 x z + 1/175 y - 1/245 y - 2/175 z + + 2 169 2 + + 1/50 x - 1/100 x y - ----- + 2/245 z - 1/50 x, COEFF(-1, 1, -2) = + 14700 + + 2 2 211 + - 1/245 z + 1/25 x + 1/175 z + 1/50 x y - 2/25 x + ---- + 1/350 y z + 3675 + + 2 + + 1/490 y - 1/350 y - 1/25 x z, COEFF(0, 1, -2) = + + 2 2 2 + - 2/245 z + 3/25 x + 2/175 z + 1/175 y z - 9/98 - 1/175 y + 1/245 y , + + 2 2 + COEFF(1, 1, -2) = 1/350 y z + 1/490 y + 1/175 z - 2/25 x - 1/25 x + + 211 2 + + 1/25 x z + ---- - 1/245 z - 1/50 x y - 1/350 y, COEFF(2, 1, -2) = + 3675 + + 2 2 169 + 2/245 z - 1/245 y + 1/175 y - ----- + 1/100 x y - 1/175 y z + 1/50 x + 14700 + + 2 529 + - 1/50 x z - 2/175 z + 1/50 x , COEFF(-2, 2, -2) = - ----- - 1/50 x + 14700 + + 2 2 2 + - 2/175 z + 2/245 z + 1/50 x - 1/50 x y + 2/245 y + 2/175 y + 1/50 x z + + 256 2 + - 2/175 y z, COEFF(-1, 2, -2) = ---- - 1/25 x z - 1/245 y + 1/175 z + 3675 + + 2 2 + - 1/175 y + 1/175 y z + 1/25 x - 1/245 z + 1/25 x y - 2/25 x , + + COEFF(0, 2, -2) = + + 2 2 33 2 + 2/175 z - 2/245 z - 2/245 y - --- + 3/25 x + 2/175 y z - 2/175 y, + 490 + + 2 256 2 + COEFF(1, 2, -2) = - 2/25 x + ---- - 1/245 y - 1/175 y + 1/25 x z + 3675 + + 2 + - 1/245 z + 1/175 z - 1/25 x y - 1/25 x + 1/175 y z, COEFF(2, 2, -2) = + + 529 2 + - 2/175 z - 1/50 x z - ----- + 2/175 y + 1/50 x y + 1/50 x + 1/50 x + 14700 + + 2 2 169 + - 2/175 y z + 2/245 z + 2/245 y , COEFF(-2, -2, -1) = - 1/50 x - ----- + 14700 + + 2 2 + + 2/245 y + 1/100 x z + 1/175 y z + 1/50 x - 2/175 y + 1/50 x y + + 2 211 + - 1/175 z - 1/245 z , COEFF(-1, -2, -1) = ---- - 1/350 y z - 1/25 x y + 3675 + + 2 2 2 + - 1/50 x z - 2/25 x + 1/25 x + 1/175 y + 1/350 z + 1/490 z - 1/245 y , + + COEFF(0, -2, -1) = + + 2 2 2 + 1/175 z - 9/98 + 3/25 x - 1/175 y z + 1/245 z - 2/245 y + 2/175 y, + + 2 2 2 + COEFF(1, -2, -1) = 1/490 z + 1/350 z - 1/245 y - 2/25 x - 1/25 x + + 211 + + 1/175 y + 1/50 x z - 1/350 y z + ---- + 1/25 x y, COEFF(2, -2, -1) = + 3675 + + 2 2 169 + - 1/100 x z - 1/245 z + 1/50 x + 1/50 x - 1/50 x y - ----- + 1/175 y z + 14700 + + 2 + + 2/245 y - 1/175 z - 2/175 y, COEFF(-2, -1, -1) = - 1/175 y - 1/175 z + + 2 2 191 + - 1/245 y + 1/350 y z + 1/50 x + 1/100 x z + 1/100 x y + ----- + 14700 + + 2 2 + - 1/245 z - 1/50 x, COEFF(-1, -1, -1) = - 1/50 x y - 2/25 x + 1/25 x + + 2 166 2 + + 1/490 y + ---- + 1/350 y + 1/490 z - 1/50 x z + 1/350 z - 1/700 y z, + 3675 + + COEFF(0, -1, -1) = + + 2 57 2 2 + 1/175 y - 1/350 y z + 3/25 x - --- + 1/175 z + 1/245 y + 1/245 z , + 490 + + 2 166 + COEFF(1, -1, -1) = - 1/700 y z + 1/350 z + 1/490 y + ---- + 1/350 y + 3675 + + 2 2 + + 1/490 z + 1/50 x z + 1/50 x y - 1/25 x - 2/25 x , COEFF(2, -1, -1) = + + 2 + 1/50 x - 1/100 x y - 1/175 z + 1/350 y z + 1/50 x - 1/175 y - 1/100 x z + + 2 191 2 + - 1/245 y + ----- - 1/245 z , COEFF(-2, 0, -1) = + 14700 + + 2 2 2 311 + - 2/245 y + 1/50 x + 1/100 x z - 1/245 z - 1/175 z + ----- - 1/50 x, + 14700 + + COEFF(-1, 0, -1) = + + 151 2 2 2 + ---- - 1/50 x z + 1/245 y - 2/25 x + 1/350 z + 1/490 z + 1/25 x, + 3675 + + 61 2 2 2 + COEFF(0, 0, -1) = - --- + 2/245 y + 1/175 z + 1/245 z + 3/25 x , + 490 + + COEFF(1, 0, -1) = + + 2 2 2 151 + 1/50 x z - 2/25 x + 1/490 z + 1/245 y + ---- + 1/350 z - 1/25 x, + 3675 + + COEFF(2, 0, -1) = + + 2 2 2 311 + - 1/100 x z - 1/245 z - 1/175 z + 1/50 x - 2/245 y + ----- + 1/50 x, + 14700 + + 2 + COEFF(-2, 1, -1) = - 1/350 y z + 1/175 y - 1/50 x + 1/50 x - 1/175 z + + 2 191 2 + - 1/245 y + ----- + 1/100 x z - 1/100 x y - 1/245 z , COEFF(-1, 1, -1) = + 14700 + + 166 2 2 + 1/700 y z + ---- + 1/350 z + 1/490 y + 1/50 x y - 2/25 x - 1/350 y + 3675 + + 2 + + 1/490 z + 1/25 x - 1/50 x z, COEFF(0, 1, -1) = + + 2 2 57 2 + 1/245 y + 1/350 y z + 1/245 z - --- + 3/25 x + 1/175 z - 1/175 y, + 490 + + 2 2 + COEFF(1, 1, -1) = 1/700 y z - 2/25 x + 1/50 x z - 1/350 y + 1/490 y + + 166 2 + + 1/350 z + ---- - 1/25 x + 1/490 z - 1/50 x y, COEFF(2, 1, -1) = + 3675 + + 2 2 2 + - 1/100 x z + 1/175 y + 1/50 x - 1/245 z - 1/175 z + 1/50 x - 1/245 y + + 191 169 + + ----- - 1/350 y z + 1/100 x y, COEFF(-2, 2, -1) = - ----- - 1/175 z + 14700 14700 + + 2 2 + + 1/100 x z + 2/245 y + 1/50 x + 2/175 y - 1/175 y z - 1/50 x y + + 2 211 2 + - 1/245 z - 1/50 x, COEFF(-1, 2, -1) = 1/350 z + ---- - 1/175 y - 2/25 x + 3675 + + 2 2 + - 1/50 x z + 1/350 y z + 1/490 z - 1/245 y + 1/25 x y + 1/25 x, + + COEFF(0, 2, -1) = + + 2 2 2 + - 9/98 + 1/175 z - 2/245 y - 2/175 y + 1/175 y z + 1/245 z + 3/25 x , + + 2 2 2 211 + COEFF(1, 2, -1) = 1/490 z - 1/25 x y - 1/245 y - 1/175 y - 2/25 x + ---- + 3675 + + 2 + - 1/25 x + 1/50 x z + 1/350 y z + 1/350 z, COEFF(2, 2, -1) = 2/245 y + + 169 2 2 + - ----- + 2/175 y - 1/245 z - 1/175 z + 1/50 x y + 1/50 x - 1/175 y z + 14700 + + - 1/100 x z + 1/50 x, COEFF(-2, -2, 0) = + + 2 2 2 + - 2/245 z - 1/300 + 1/50 x + 1/50 x y - 1/50 x - 2/175 y + 2/245 y , + + COEFF(-1, -2, 0) = + + 2 2 2 + 1/25 x - 1/25 x y + 1/175 y - 2/25 x + 4/75 + 1/245 z - 1/245 y , + + 2 2 2 + COEFF(0, -2, 0) = - 1/10 - 2/245 y + 2/245 z + 2/175 y + 3/25 x , + + COEFF(1, -2, 0) = + + 2 2 2 + 1/25 x y + 4/75 - 1/25 x - 1/245 y + 1/245 z - 2/25 x + 1/175 y, + + COEFF(2, -2, 0) = + + 2 2 2 + 1/50 x - 1/50 x y - 2/175 y - 1/300 + 2/245 y - 2/245 z + 1/50 x, + + COEFF(-2, -1, 0) = + + 311 2 2 2 + ----- + 1/50 x + 1/100 x y - 1/245 y - 1/50 x - 2/245 z - 1/175 y, + 14700 + + COEFF(-1, -1, 0) = + + 151 2 2 2 + 1/350 y + ---- + 1/490 y - 2/25 x + 1/245 z + 1/25 x - 1/50 x y, + 3675 + + 2 2 61 2 + COEFF(0, -1, 0) = 2/245 z + 1/175 y + 3/25 x - --- + 1/245 y , + 490 + + COEFF(1, -1, 0) = + + 151 2 2 2 + ---- + 1/350 y - 2/25 x + 1/245 z + 1/50 x y - 1/25 x + 1/490 y , + 3675 + + COEFF(2, -1, 0) = + + 311 2 2 2 + ----- + 1/50 x - 1/245 y - 2/245 z - 1/175 y - 1/100 x y + 1/50 x , + 14700 + + 431 2 2 2 + COEFF(-2, 0, 0) = ----- - 2/245 z + 1/50 x - 2/245 y - 1/50 x, + 14700 + + 2 2 2 136 + COEFF(-1, 0, 0) = - 2/25 x + 1/25 x + 1/245 z + 1/245 y + ----, + 3675 + + 13 2 2 2 + COEFF(0, 0, 0) = - -- + 3/25 x + 2/245 z + 2/245 y , + 98 + + 2 2 136 2 + COEFF(1, 0, 0) = 1/245 y - 2/25 x - 1/25 x + ---- + 1/245 z , + 3675 + + 2 2 2 431 + COEFF(2, 0, 0) = - 2/245 z - 2/245 y + 1/50 x + 1/50 x + -----, + 14700 + + COEFF(-2, 1, 0) = + + 2 2 2 311 + 1/50 x - 1/245 y - 1/100 x y - 2/245 z - 1/50 x + 1/175 y + -----, + 14700 + + COEFF(-1, 1, 0) = + + 151 2 2 2 + ---- + 1/50 x y + 1/490 y - 2/25 x - 1/350 y + 1/245 z + 1/25 x, + 3675 + + 2 2 61 2 + COEFF(0, 1, 0) = 1/245 y + 3/25 x - 1/175 y - --- + 2/245 z , + 490 + + COEFF(1, 1, 0) = + + 2 151 2 2 + 1/245 z + ---- - 1/350 y - 2/25 x + 1/490 y - 1/50 x y - 1/25 x, + 3675 + + COEFF(2, 1, 0) = + + 2 2 2 311 + 1/50 x + 1/175 y - 2/245 z + 1/100 x y - 1/245 y + 1/50 x + -----, + 14700 + + COEFF(-2, 2, 0) = + + 2 2 2 + - 2/245 z + 2/245 y - 1/50 x + 1/50 x - 1/300 - 1/50 x y + 2/175 y, + + COEFF(-1, 2, 0) = + + 2 2 2 + 1/25 x + 4/75 + 1/25 x y - 1/245 y - 2/25 x - 1/175 y + 1/245 z , + + 2 2 2 + COEFF(0, 2, 0) = - 2/175 y - 2/245 y + 3/25 x + 2/245 z - 1/10, + + COEFF(1, 2, 0) = + + 2 2 2 + - 1/175 y + 4/75 - 1/245 y + 1/245 z - 1/25 x y - 2/25 x - 1/25 x, + + COEFF(2, 2, 0) = + + 2 2 2 + 1/50 x y + 2/175 y - 2/245 z - 1/300 + 1/50 x + 2/245 y + 1/50 x , + + COEFF(-2, -2, 1) = 1/175 z - 2/175 y - 1/100 x z - 1/175 y z - 1/50 x + + 169 2 2 2 + - ----- + 1/50 x y - 1/245 z + 2/245 y + 1/50 x , COEFF(-1, -2, 1) = + 14700 + + 2 2 2 + 1/490 z + 1/350 y z - 1/350 z + 1/25 x - 1/245 y + 1/175 y - 2/25 x + + 211 + + ---- + 1/50 x z - 1/25 x y, COEFF(0, -2, 1) = + 3675 + + 2 2 2 + - 1/175 z - 9/98 + 1/175 y z + 1/245 z - 2/245 y + 2/175 y + 3/25 x , + + 2 2 + COEFF(1, -2, 1) = - 1/25 x - 1/245 y - 2/25 x + 1/25 x y + 1/350 y z + + 2 211 + - 1/350 z - 1/50 x z + 1/175 y + 1/490 z + ----, COEFF(2, -2, 1) = + 3675 + + 2 169 2 2 + 1/175 z + 1/50 x - 1/245 z - ----- + 1/50 x - 2/175 y + 2/245 y + 14700 + + 191 + + 1/100 x z - 1/50 x y - 1/175 y z, COEFF(-2, -1, 1) = ----- + 1/100 x y + 14700 + + 2 2 2 + - 1/245 y - 1/100 x z - 1/50 x - 1/350 y z - 1/175 y - 1/245 z + 1/50 x + + 2 2 2 + + 1/175 z, COEFF(-1, -1, 1) = 1/490 y + 1/700 y z - 2/25 x + 1/490 z + + 166 + + 1/350 y - 1/350 z - 1/50 x y + ---- + 1/25 x + 1/50 x z, COEFF(0, -1, 1) + 3675 + + 2 2 2 57 + = 3/25 x + 1/175 y - 1/175 z + 1/245 y + 1/245 z + 1/350 y z - ---, + 490 + + 166 2 + COEFF(1, -1, 1) = - 1/25 x + 1/700 y z + ---- + 1/490 y + 1/50 x y + 3675 + + 2 2 + - 1/350 z - 1/50 x z + 1/350 y - 2/25 x + 1/490 z , COEFF(2, -1, 1) = + + 2 2 2 + - 1/245 z - 1/245 y - 1/175 y - 1/350 y z + 1/50 x + 1/50 x + 1/100 x z + + 191 + + 1/175 z + ----- - 1/100 x y, COEFF(-2, 0, 1) = + 14700 + + 311 2 2 2 + ----- + 1/175 z + 1/50 x - 1/245 z - 1/50 x - 2/245 y - 1/100 x z, + 14700 + + COEFF(-1, 0, 1) = + + 2 151 2 2 + 1/245 y - 1/350 z + ---- - 2/25 x + 1/25 x + 1/490 z + 1/50 x z, + 3675 + + 2 61 2 2 + COEFF(0, 0, 1) = - 1/175 z + 2/245 y - --- + 3/25 x + 1/245 z , + 490 + + COEFF(1, 0, 1) = + + 2 2 2 151 + - 1/25 x + 1/245 y - 2/25 x + 1/490 z + ---- - 1/50 x z - 1/350 z, + 3675 + + COEFF(2, 0, 1) = + + 2 2 311 2 + - 1/245 z + 1/50 x + 1/50 x + ----- + 1/100 x z - 2/245 y + 1/175 z, + 14700 + + 191 + COEFF(-2, 1, 1) = - 1/100 x z + 1/350 y z - 1/100 x y + 1/175 y + ----- + 14700 + + 2 2 2 + - 1/50 x + 1/50 x - 1/245 y - 1/245 z + 1/175 z, COEFF(-1, 1, 1) = + + 2 166 + 1/50 x y - 2/25 x + 1/50 x z - 1/350 z + 1/25 x - 1/350 y + ---- + 3675 + + 2 2 + + 1/490 y - 1/700 y z + 1/490 z , COEFF(0, 1, 1) = + + 57 2 2 2 + - 1/350 y z - --- + 1/245 z - 1/175 y + 1/245 y - 1/175 z + 3/25 x , + 490 + + 2 + COEFF(1, 1, 1) = 1/490 y - 1/700 y z - 1/25 x - 1/350 z - 1/50 x z + + 2 2 166 + - 1/350 y - 1/50 x y + 1/490 z - 2/25 x + ----, COEFF(2, 1, 1) = + 3675 + + 2 2 2 + 1/350 y z - 1/245 y + 1/50 x + 1/175 y + 1/100 x z + 1/175 z - 1/245 z + + 191 2 + + 1/100 x y + 1/50 x + -----, COEFF(-2, 2, 1) = - 1/100 x z + 1/50 x + 14700 + + 2 2 + - 1/50 x + 2/245 y + 2/175 y - 1/245 z + 1/175 y z - 1/50 x y + 1/175 z + + 169 2 211 2 + - -----, COEFF(-1, 2, 1) = - 2/25 x + ---- + 1/490 z + 1/50 x z + 1/25 x + 14700 3675 + + 2 + + 1/25 x y - 1/350 y z - 1/350 z - 1/175 y - 1/245 y , COEFF(0, 2, 1) = + + 2 2 2 + - 9/98 - 1/175 z - 1/175 y z - 2/175 y - 2/245 y + 1/245 z + 3/25 x , + + 2 211 + COEFF(1, 2, 1) = 1/490 z + ---- - 1/175 y - 1/25 x - 1/50 x z - 1/350 y z + 3675 + + 2 2 + - 1/25 x y - 1/350 z - 1/245 y - 2/25 x , COEFF(2, 2, 1) = 1/50 x y + + 2 2 169 + + 1/100 x z + 1/175 y z - 1/245 z + 1/50 x - ----- + 1/175 z + 2/175 y + 14700 + + 2 2 + + 2/245 y + 1/50 x, COEFF(-2, -2, 2) = 1/50 x y + 2/245 y + 2/175 z + + 529 2 2 + - 2/175 y - 1/50 x - 2/175 y z - ----- + 1/50 x - 1/50 x z + 2/245 z , + 14700 + + 256 + COEFF(-1, -2, 2) = - 1/25 x y + 1/25 x z + 1/25 x + 1/175 y + ---- + 3675 + + 2 2 2 + - 1/245 z - 1/175 z + 1/175 y z - 2/25 x - 1/245 y , COEFF(0, -2, 2) = + + 2 2 33 2 + - 2/245 y - 2/245 z + 2/175 y z + 2/175 y - 2/175 z - --- + 3/25 x , + 490 + + 256 + COEFF(1, -2, 2) = 1/25 x y - 1/25 x z - 1/25 x - 1/175 z + 1/175 y + ---- + 3675 + + 2 2 2 + + 1/175 y z - 2/25 x - 1/245 y - 1/245 z , COEFF(2, -2, 2) = 1/50 x z + + 2 2 529 2 + + 2/175 z + 1/50 x + 2/245 y + 1/50 x - ----- - 2/175 y z + 2/245 z + 14700 + + - 2/175 y - 1/50 x y, COEFF(-2, -1, 2) = 1/100 x y + 2/175 z - 1/50 x + + 2 2 2 169 + - 1/245 y + 1/50 x + 2/245 z - 1/50 x z - 1/175 y z - ----- - 1/175 y, + 14700 + + 2 + COEFF(-1, -1, 2) = - 1/50 x y + 1/350 y + 1/25 x z - 2/25 x - 1/175 z + + 2 2 211 + + 1/350 y z + 1/25 x + 1/490 y - 1/245 z + ----, COEFF(0, -1, 2) = + 3675 + + 2 2 2 + - 2/245 z - 2/175 z + 1/245 y + 1/175 y z + 1/175 y - 9/98 + 3/25 x , + + 2 211 2 + COEFF(1, -1, 2) = 1/490 y - 1/25 x z - 1/175 z + ---- + 1/50 x y - 2/25 x + 3675 + + 2 2 + + 1/350 y - 1/245 z - 1/25 x + 1/350 y z, COEFF(2, -1, 2) = 1/50 x + + 2 169 + + 1/50 x - 1/100 x y + 2/175 z + 1/50 x z - 1/175 y + 2/245 z - ----- + 14700 + + 2 + - 1/245 y - 1/175 y z, COEFF(-2, 0, 2) = + + 2 2 2 + 2/175 z - 1/50 x - 2/245 y + 2/245 z - 1/50 x z - 1/300 + 1/50 x , + + COEFF(-1, 0, 2) = + + 2 2 2 + - 1/175 z + 4/75 - 2/25 x + 1/25 x - 1/245 z + 1/25 x z + 1/245 y , + + 2 2 2 + COEFF(0, 0, 2) = - 2/175 z + 3/25 x - 2/245 z - 1/10 + 2/245 y , + + COEFF(1, 0, 2) = + + 2 2 2 + - 1/245 z - 1/175 z - 1/25 x - 2/25 x + 1/245 y + 4/75 - 1/25 x z, + + COEFF(2, 0, 2) = + + 2 2 2 + - 1/300 + 2/245 z + 2/175 z + 1/50 x z + 1/50 x + 1/50 x - 2/245 y , + + 2 2 + COEFF(-2, 1, 2) = 1/175 y z - 1/50 x z + 1/50 x - 1/100 x y - 1/245 y + + 2 169 + + 2/175 z + 2/245 z - 1/50 x - ----- + 1/175 y, COEFF(-1, 1, 2) = + 14700 + + 2 2 211 2 + 1/50 x y + 1/25 x + 1/490 y - 2/25 x + ---- - 1/350 y z - 1/245 z + 3675 + + - 1/175 z + 1/25 x z - 1/350 y, COEFF(0, 1, 2) = + + 2 2 2 + 3/25 x - 1/175 y - 2/245 z - 1/175 y z - 9/98 + 1/245 y - 2/175 z, + + 2 2 211 2 + COEFF(1, 1, 2) = - 2/25 x + 1/490 y + ---- - 1/50 x y - 1/245 z + 3675 + + - 1/350 y z - 1/350 y - 1/175 z - 1/25 x - 1/25 x z, COEFF(2, 1, 2) = + + 2 169 2 + 2/245 z - ----- + 1/50 x + 1/100 x y + 1/50 x + 1/50 x z + 1/175 y + 14700 + + 2 2 + - 1/245 y + 1/175 y z + 2/175 z, COEFF(-2, 2, 2) = 2/175 y z + 2/245 z + + 2 529 2 + + 2/175 z - 1/50 x y + 1/50 x - ----- - 1/50 x z - 1/50 x + 2/245 y + 14700 + + 2 + + 2/175 y, COEFF(-1, 2, 2) = 1/25 x y - 1/175 y z - 1/245 z + 1/25 x + + 256 2 2 + + ---- + 1/25 x z - 2/25 x - 1/175 y - 1/175 z - 1/245 y , COEFF(0, 2, 2) + 3675 + + 2 2 2 33 + = - 2/175 y - 2/175 z - 2/245 y - 2/175 y z + 3/25 x - 2/245 z - ---, + 490 + + 2 2 + COEFF(1, 2, 2) = - 1/175 z - 1/245 y - 1/25 x z - 1/245 z - 1/25 x y + + 256 2 + + ---- - 2/25 x - 1/175 y - 1/175 y z - 1/25 x, COEFF(2, 2, 2) = 2/175 y + 3675 + + 529 2 2 + + 1/50 x y - ----- + 2/245 y + 2/175 y z + 2/175 z + 2/245 z + 1/50 x z + 14700 + + 2 + + 1/50 x + 1/50 x] + +> print_coeffs__lc_of_data(%, "coeffs_dxx->coeff_", "fp", +> "3d.coeffs/3d.cube.order4.smooth0/coeffs-dxx.compute.c"); +bytes used=1964047504, alloc=14677376, time=292.06 +bytes used=1965047664, alloc=14677376, time=292.14 +bytes used=1966047816, alloc=14677376, time=292.22 +bytes used=1967048152, alloc=14677376, time=292.31 +bytes used=1968048340, alloc=14677376, time=293.02 +bytes used=1969048728, alloc=14677376, time=293.73 +bytes used=1970049164, alloc=14677376, time=294.44 +bytes used=1971049552, alloc=14677376, time=295.14 +bytes used=1972050068, alloc=14677376, time=295.84 +bytes used=1973050400, alloc=14677376, time=296.13 +bytes used=1974050584, alloc=14677376, time=296.22 +bytes used=1975050740, alloc=14677376, time=296.31 +bytes used=1976086208, alloc=14677376, time=296.38 +bytes used=1977118624, alloc=14677376, time=296.46 +bytes used=1978127380, alloc=14677376, time=296.55 +bytes used=1979127568, alloc=14677376, time=296.65 +bytes used=1980127820, alloc=14677376, time=297.36 +bytes used=1981128036, alloc=14677376, time=298.18 +bytes used=1982128204, alloc=14677376, time=298.51 +bytes used=1983128448, alloc=14677376, time=298.59 +bytes used=1984128824, alloc=14677376, time=298.66 +bytes used=1985129300, alloc=14677376, time=298.73 +bytes used=1986129580, alloc=14677376, time=298.79 +bytes used=1987129824, alloc=14677376, time=298.85 +bytes used=1988130336, alloc=14677376, time=298.92 +bytes used=1989130528, alloc=14677376, time=298.99 +bytes used=1990130876, alloc=14677376, time=299.07 +bytes used=1991134116, alloc=14677376, time=299.14 +bytes used=1992134336, alloc=14677376, time=299.22 +bytes used=1993134800, alloc=14677376, time=299.32 +bytes used=1994135092, alloc=14677376, time=299.44 +bytes used=1995135284, alloc=14677376, time=299.55 +bytes used=1996135548, alloc=14677376, time=299.67 +bytes used=1997135812, alloc=14677376, time=299.78 +bytes used=1998135988, alloc=14677376, time=299.90 +bytes used=1999136156, alloc=14677376, time=300.01 +bytes used=2000146400, alloc=14677376, time=300.14 +bytes used=2001146952, alloc=14677376, time=300.26 +bytes used=2002151924, alloc=14677376, time=300.38 +bytes used=2003152240, alloc=14677376, time=300.48 +bytes used=2004152420, alloc=14677376, time=301.19 +bytes used=2005152628, alloc=14677376, time=302.55 +bytes used=2006152820, alloc=14677376, time=303.10 +bytes used=2007154220, alloc=14677376, time=303.19 +bytes used=2008154488, alloc=14677376, time=303.26 +bytes used=2009154652, alloc=14677376, time=303.34 +bytes used=2010155104, alloc=14677376, time=303.41 +bytes used=2011155312, alloc=14677376, time=303.49 +bytes used=2012155652, alloc=14677376, time=303.56 +bytes used=2013156012, alloc=14677376, time=303.63 +bytes used=2014156244, alloc=14677376, time=303.71 +bytes used=2015156696, alloc=14677376, time=303.78 +bytes used=2016157064, alloc=14677376, time=303.86 +bytes used=2017157240, alloc=14677376, time=303.93 +bytes used=2018157456, alloc=14677376, time=304.01 +bytes used=2019157692, alloc=14677376, time=304.20 +bytes used=2020157916, alloc=14677376, time=304.32 +bytes used=2021162332, alloc=14677376, time=304.45 +bytes used=2022162524, alloc=14677376, time=304.58 +bytes used=2023162760, alloc=14677376, time=304.94 +bytes used=2024164604, alloc=14677376, time=306.88 +bytes used=2025164812, alloc=14677376, time=307.50 +bytes used=2026165116, alloc=14677376, time=307.66 +bytes used=2027165308, alloc=14677376, time=307.74 +bytes used=2028165604, alloc=14677376, time=307.81 +bytes used=2029165772, alloc=14677376, time=307.89 +bytes used=2030166096, alloc=14677376, time=307.96 +bytes used=2031166252, alloc=14677376, time=308.04 +bytes used=2032166456, alloc=14677376, time=308.11 +bytes used=2033166656, alloc=14677376, time=308.26 +bytes used=2034166888, alloc=14677376, time=308.95 +bytes used=2035167124, alloc=14677376, time=310.69 +bytes used=2036167804, alloc=14677376, time=311.27 +bytes used=2037167996, alloc=14677376, time=311.42 +bytes used=2038168292, alloc=14677376, time=311.53 +bytes used=2039168556, alloc=14677376, time=311.70 +> +# d^2/dxdy +> simplify( diff(interp_3d_cube_order4_smooth0,x,y) ); +bytes used=2040168820, alloc=14677376, time=311.79 +bytes used=2041205784, alloc=14677376, time=311.88 +bytes used=2042206092, alloc=14677376, time=311.96 +bytes used=2043206244, alloc=14677376, time=312.04 +bytes used=2044207052, alloc=14677376, time=312.12 +bytes used=2045207192, alloc=14677376, time=312.21 +bytes used=2046207328, alloc=14677376, time=312.29 +bytes used=2047208468, alloc=14677376, time=312.37 + 47 +1/175 y z DATA(2, 0, -1) - 1/350 y z DATA(1, 0, 1) - ---- DATA(-2, -2, 1) + 5250 + + - 1/175 y z DATA(1, 0, 2) - 1/350 y z DATA(-1, 0, -1) + + 167 + + 1/700 y z DATA(1, -1, -1) - ---- DATA(1, -2, 1) + 7000 + + 187 167 + - 1/700 y z DATA(-1, -1, -1) - ---- DATA(1, -2, 0) + ---- DATA(-1, -2, 1) + 7000 7000 + + + 1/175 y DATA(-1, 0, -1) - 2/175 y DATA(2, 0, -1) - 1/175 y DATA(1, 0, 1) + + + 1/700 y z DATA(1, 1, -1) - 1/175 y DATA(1, 0, -2) + + - 1/175 y DATA(1, 0, 0) - 2/175 y DATA(2, 0, 1) + 2/175 y DATA(-2, 0, 1) + + - 1/175 y DATA(1, 0, 2) - 1/175 y DATA(1, 0, -1) + 1/175 y DATA(-1, 0, 1) + + - 2/175 y DATA(2, 0, 2) + 1/175 y DATA(-1, 0, 2) + 2/175 y DATA(-2, 0, -1) + + + 2/175 y DATA(-2, 0, 2) - 2/175 y DATA(2, 0, -2) + 1/175 y DATA(-1, 0, 0) + + - 2/175 y DATA(2, 0, 0) + 2/175 y DATA(-2, 0, 0) + 2/175 y DATA(-2, 0, -2) + + + 1/175 y DATA(-1, 0, -2) + 1/175 x DATA(0, -1, -2) + + - 1/700 y z DATA(-1, 1, -1) + 1/700 y z DATA(-1, 1, 1) + + 167 17 47 + + ---- DATA(-2, -1, 1) + ---- DATA(2, -2, 0) + ---- DATA(2, -2, 1) + 7000 5250 5250 + + 187 + + 1/175 x DATA(-1, -2, -1) + ---- DATA(-2, -1, 0) + 1/175 x DATA(-2, 1, 1) + 7000 + + + 1/175 x DATA(0, -1, 2) - 1/175 x DATA(0, 1, 0) - 1/175 x DATA(0, 1, 1) + + - 2/175 x DATA(0, 2, 0) - 2/175 x DATA(0, 2, -2) - 2/175 x DATA(0, 2, 2) + + - 1/175 x DATA(0, 1, -2) - 1/350 x DATA(1, 1, 1) + 2/175 x DATA(0, -2, 1) + + - 2/175 x DATA(0, 2, -1) - 1/175 x DATA(0, 1, 2) + 1/175 x DATA(0, -1, 1) + + - 1/175 x DATA(0, 1, -1) + 1/175 x DATA(0, -1, -1) + + + 2/175 x DATA(0, -2, -2) - 1/175 x DATA(-1, 2, -1) + + + 1/175 x DATA(2, 1, -1) + 2/175 x DATA(2, 2, -1) - 1/175 x DATA(1, 2, -1) + + + 2/175 x DATA(0, -2, -1) + 2/175 x DATA(0, -2, 2) + + + 1/175 x DATA(0, -1, 0) + 2/175 x DATA(0, -2, 0) - 2/175 x DATA(0, 2, 1) + + 2 2 + + 1/200 y DATA(-1, -2, 0) + 1/100 y DATA(-2, -2, 0) + + 2 2 + + 1/100 y DATA(-1, 1, 0) + 1/100 y DATA(1, -1, 0) + + 2 + - 1/100 y DATA(2, -2, 0) + 1/350 x DATA(-1, -1, 2) + + 2 2 2 + + 1/50 y DATA(-2, 1, 0) - 1/100 y DATA(1, 1, 0) + 1/100 y DATA(2, 2, 0) + + 2 2 + - 1/50 y DATA(-2, -1, 0) - 1/200 y DATA(-1, 2, 0) + + 2 2 + - 1/50 y DATA(2, 1, 0) + 1/50 y DATA(2, -1, 0) - 1/175 x DATA(1, 2, 1) + + 2 + - 1/200 y DATA(1, -2, 0) + 2/175 x DATA(2, 2, -2) + + 2 + - 1/175 x DATA(2, -1, 1) - 1/350 z DATA(1, 2, 0) + + 2 2 + + 1/175 z DATA(2, -2, 0) + 1/175 z DATA(-2, 2, 0) + + 2 2 + - 1/100 y DATA(-1, -1, 0) + 1/700 z DATA(1, -1, 0) + + 2 2 + + 1/700 z DATA(-1, 1, 0) - 1/175 z DATA(-2, -2, 0) + + 2 + - 1/350 z DATA(-1, -2, 0) - 1/175 x DATA(-1, 2, 1) + + 2 2 + + 1/350 z DATA(-2, 1, 0) - 1/700 z DATA(1, 1, 0) + + 2 + - 2/175 x DATA(-2, -2, -1) + 1/350 z DATA(2, -1, 0) + + 2 2 + + 1/350 z DATA(-1, 2, 0) - 1/175 z DATA(2, 2, 0) + + 2 + - 1/350 z DATA(2, 1, 0) - 1/350 x DATA(1, 1, -2) + + 2 2 + + 1/350 z DATA(1, -2, 0) - 1/350 z DATA(-2, -1, 0) + + + 2/175 x DATA(-2, 2, 0) - 1/175 x DATA(1, 2, -2) - 1/175 x DATA(1, 2, 0) + + + 1/175 x DATA(-1, -2, 0) - 2/175 x DATA(2, -2, 0) + + 2 + + 1/350 x DATA(1, -1, 0) - 1/700 z DATA(-1, -1, 0) + + + 1/175 x DATA(-2, 1, 0) - 1/350 x DATA(-1, 1, 0) + + + 2/175 x DATA(-2, 2, -2) - 2/175 y DATA(-2, 2, 0) + + + 2/175 x DATA(-2, 2, 1) + 1/350 y DATA(-1, 1, 0) + 1/175 y DATA(1, 2, 0) + + - 2/175 y DATA(-2, -2, 0) - 1/175 y DATA(-1, -2, 0) + + + 2/175 y DATA(2, -2, 0) - 1/350 y DATA(1, -1, 0) + 1/175 y DATA(-2, 1, 0) + + - 2/245 x y DATA(1, 2, 0) + 2/175 y DATA(2, 2, 0) - 1/175 y DATA(-1, 2, 0) + + - 1/175 y DATA(2, 1, 0) - 1/350 y DATA(1, 1, 0) + 1/175 y DATA(1, -2, 0) + + - 1/175 y DATA(2, -1, 0) + 1/175 y DATA(-2, -1, 0) + + 167 289 + + 1/350 y DATA(-1, -1, 0) - ---- DATA(2, -1, -1) + ----- DATA(1, 1, 0) + 7000 10500 + + 137 + + ---- DATA(1, 1, 1) - 1/350 x z DATA(-2, -1, 1) + 5250 + + + 1/350 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4/245 x y DATA(-2, 0, 2) + + 107 + - 4/245 x y DATA(0, -2, 1) + ---- DATA(1, 2, -2) + 7000 + + - 4/245 x y DATA(0, 2, -1) - 4/245 x y DATA(2, 0, 0) + + - 4/245 x y DATA(-2, 0, 0) + 4/245 x y DATA(0, 0, -1) + + 167 167 + + ---- DATA(-1, -2, -1) - ---- DATA(-1, 2, 1) - 4/245 x y DATA(-2, 0, -2) + 7000 7000 + + 47 + + 2/245 x y DATA(1, 0, -2) - ---- DATA(-2, -2, -1) + 5250 + + 137 + + 4/245 x y DATA(0, 0, 0) - ---- DATA(2, 2, -2) + 2/245 x y DATA(1, 0, 0) + 5250 + + 167 + + 2/245 x y DATA(-1, 0, -2) + ---- DATA(2, 1, 1) + 7000 + + + 2/245 x y DATA(1, 0, -1) + 2/245 x y DATA(-1, 0, 1) + + 167 + + 2/245 x y DATA(1, 0, 1) + ---- DATA(1, 2, 1) + 2/245 x y DATA(0, -1, -2) + 7000 + + + 2/245 x y DATA(0, -1, 1) + 2/245 x y DATA(0, 1, -1) + + + 2/245 x y DATA(0, -1, -1) - 4/245 x y DATA(0, -2, -2) + + - 4/245 x y DATA(2, 0, -1) + 4/245 x y DATA(0, 0, 1) + + 229 + + ----- DATA(-1, -1, 2) - 4/245 x y DATA(2, 0, 1) + 10500 + + - 4/245 x y DATA(-2, 0, 1) + 2/245 x y DATA(1, 0, 2) + + 47 187 + + 2/245 x y DATA(-1, 0, -1) - ---- DATA(2, 2, 1) - ---- DATA(-2, 1, 0) + 5250 7000 + + 137 167 229 + - ---- DATA(-2, -2, 2) - ---- DATA(1, -2, -1) - ----- DATA(1, -1, 2) + 5250 7000 10500 + + 167 47 + - 1/175 x z DATA(0, 1, 2) + ---- DATA(-2, -1, -1) + ---- DATA(2, -2, -1) + 7000 5250 + + 107 229 229 + - ---- DATA(2, -1, 2) + ----- DATA(1, 1, 2) - ----- DATA(-1, 1, 2) + 7000 10500 10500 + + 107 107 107 + + ---- DATA(-1, -2, 2) - ---- DATA(1, -2, 2) - ---- DATA(-1, 2, 2) + 7000 7000 7000 + + 107 107 167 + + ---- DATA(2, 1, 2) + ---- DATA(1, 2, 2) - ---- DATA(-2, 1, -1) + 7000 7000 7000 + + + 1/175 y z DATA(1, 2, 2) - 2/175 x z DATA(0, -2, -2) + + + 1/175 x z DATA(0, -2, 1) + 1/175 x z DATA(0, 2, -1) + + - 4/245 x y DATA(2, 0, -2) + 4/245 x y DATA(0, 0, -2) + + 289 289 137 + - ----- DATA(1, -1, 0) - ----- DATA(-1, 1, 0) + ---- DATA(-1, -1, 1) + 10500 10500 5250 + + 137 137 137 + - ---- DATA(1, -1, 1) - ---- DATA(-1, 1, 1) - ---- DATA(-1, 1, -1) + 5250 5250 5250 + + 137 289 + + ---- DATA(1, 1, -1) + ----- DATA(-1, -1, 0) + 2/245 x y DATA(-1, 0, 0) + 5250 10500 + + 137 137 + + ---- DATA(-1, -1, -1) - ---- DATA(1, -1, -1) + 4/245 x y DATA(0, 0, 2) + 5250 5250 + + 137 47 137 + + ---- DATA(2, -2, 2) + ---- DATA(-2, 2, -1) - ---- DATA(2, 2, 2) + 5250 5250 5250 + + 17 187 + + 1/350 y z DATA(1, 1, -2) - ---- DATA(-2, -2, 0) + ---- DATA(-1, -2, 0) + 5250 7000 + + + 1/175 y z DATA(-1, 2, -2) + 1/175 y z DATA(2, 2, 1) + + - 1/350 y z DATA(2, 1, 1) + 1/350 y z DATA(-1, -1, 2) + + + 1/350 y z DATA(1, 2, 1) - 2/175 y z DATA(2, 2, -2) + + - 1/350 y z DATA(2, -1, 1) - 1/350 y z DATA(-1, 2, 1) + + + 1/175 y z DATA(-2, -2, -1) - 1/175 y z DATA(-1, -2, 2) + + + 1/175 y z DATA(1, -2, 2) - 1/175 y z DATA(2, -1, 2) + + - 1/350 y z DATA(1, 1, 2) + 1/350 y z DATA(-1, 1, 2) + + - 1/350 y z DATA(1, -1, 2) - 1/175 y z DATA(2, -2, -1) + + - 1/350 y z DATA(-2, -1, -1) - 1/175 x z DATA(0, -1, -2) + + - 2/175 y z DATA(-2, -2, 2) - 1/350 y z DATA(1, -2, -1) + + - 1/350 y z DATA(-2, 1, -1) - 1/175 y z DATA(2, 1, 2) + + - 1/175 y z DATA(-1, 2, 2) + 1/350 x z DATA(0, -1, 1) + + + 2/175 y z DATA(2, -2, 2) + 1/175 y z DATA(-2, 2, -1) + + 107 + + ---- DATA(-2, -1, 2) + 2/175 y z DATA(2, 2, 2) + 7000 + + + 1/350 x z DATA(0, 1, -1) - 1/350 x z DATA(0, -1, -1) + + + 1/700 y z DATA(-1, -1, 1) + 2/175 y z DATA(-2, -2, -2) + + - 2/175 y z DATA(-2, 2, 2) + 1/175 y z DATA(-2, 1, 2) + + + 1/175 y z DATA(-2, -1, 2) - 1/175 y z DATA(-2, -1, -2) + + + 1/350 y z DATA(1, -1, -2) - 2/175 y z DATA(2, -2, -2) + + - 1/175 y z DATA(1, -2, -2) + 1/175 y z DATA(-1, -2, -2) + + - 1/350 y z DATA(-1, -1, -2) + 1/175 y z DATA(2, -1, -2) + + 17 + + ---- DATA(-2, 2, 0) + 2/175 y z DATA(-2, 2, -2) + 5250 + + + 1/350 y z DATA(-1, -2, -1) + 2/175 x z DATA(0, 2, -2) + + - 1/175 y z DATA(1, 2, -2) - 1/175 x z DATA(0, 2, 1) + + - 1/175 x z DATA(0, -2, -1) - 1/175 y z DATA(-2, 1, -2) + + + 2/175 x z DATA(0, -2, 2) - 1/700 y z DATA(1, -1, 1) + + - 1/175 y z DATA(-2, 2, 1) + 1/350 y z DATA(2, -1, -1) + + + 1/175 y z DATA(2, -2, 1) - 1/175 y z DATA(-2, -2, 1) + + 107 + - ---- DATA(-2, 1, 2) + 1/350 y z DATA(-2, 1, 1) + 7000 + + - 1/350 y z DATA(-1, 1, -2) + 1/175 y z DATA(2, 1, -2) + + + 1/350 y z DATA(-2, -1, 1) - 1/350 y z DATA(-1, -2, 1) + + + 1/350 y z DATA(2, 1, -1) + 1/350 y z DATA(-1, 2, -1) + + - 1/700 y z DATA(1, 1, 1) + 2/245 x y DATA(0, -1, 2) + + + 2/245 x y DATA(0, 1, 0) + 2/245 x y DATA(0, 1, 1) + + + 2/245 x y DATA(0, 1, -2) - 1/350 y z DATA(1, 2, -1) + + - 1/175 y z DATA(2, 2, -1) - 2/175 x z DATA(0, 2, 2) + + + 1/175 x z DATA(0, 1, -2) + 1/175 x z DATA(0, -1, 2) + + - 1/350 x z DATA(0, 1, 1) + 1/350 y z DATA(1, -2, 1) + + - 2/245 x y DATA(2, -1, 1) - 2/245 x y DATA(-1, 2, 1) + + + 4/245 x y DATA(-2, -2, -1) - 2/245 x y DATA(-1, -2, 2) + + - 2/245 x y DATA(1, -2, 2) + 1/245 x y DATA(1, 1, -2) + + - 2/245 x y DATA(-1, 2, -2) + 4/245 x y DATA(2, 2, 1) + + - 2/245 x y DATA(2, 1, 1) + 1/245 x y DATA(-1, -1, 2) + + - 2/245 x y DATA(1, 2, 1) + 4/245 x y DATA(2, 2, -2) + + + 4/245 x y DATA(-2, 2, 1) - 2/245 x y DATA(-1, -2, -1) + + + 4/245 x y DATA(-2, 2, -2) - 2/245 x y DATA(-2, 1, -2) + + - 2/245 x y DATA(1, 2, -2) - 2/245 x y DATA(2, 1, -1) + + + 4/245 x y DATA(2, 2, -1) - 2/245 x y DATA(1, 2, -1) + + 137 + - 2/245 x y DATA(-1, -2, 1) - ---- DATA(-2, -2, -2) + 5250 + + - 2/245 x y DATA(-2, -1, 1) - 2/245 x y DATA(2, 1, -2) + + 137 + + 1/245 x y DATA(-1, 1, -2) + ---- DATA(-2, 2, 2) + 5250 + + - 2/245 x y DATA(-2, 1, 1) + 1/245 x y DATA(1, 1, 1) + + 107 107 + - 2/245 x y DATA(-1, 2, -1) - ---- DATA(1, -2, -2) + ---- DATA(-1, -2, -2) + 7000 7000 + + 107 + + ---- DATA(-2, -1, -2) + 4/245 x y DATA(2, -2, 1) + 7000 + + 137 229 + - 2/245 x y DATA(2, -1, -1) + ---- DATA(2, -2, -2) - ----- DATA(1, -1, -2) + 5250 10500 + + 229 + + ----- DATA(-1, -1, -2) + 4/245 x y DATA(-2, -2, 1) + 10500 + + 107 + - 2/245 x y DATA(1, -2, 1) - ---- DATA(2, -1, -2) + 7000 + +> coeffs_as_lc_of_data(%, posn_list_3d_size5); +bytes used=2048208620, alloc=14677376, time=312.46 +bytes used=2049208840, alloc=14677376, time=312.54 +bytes used=2050274872, alloc=14677376, time=312.63 +bytes used=2051275300, alloc=14677376, time=312.72 +bytes used=2052275624, alloc=14677376, time=312.79 +bytes used=2053358060, alloc=14677376, time=312.88 +bytes used=2054390756, alloc=14677376, time=312.97 +bytes used=2055392924, alloc=14677376, time=313.06 +bytes used=2056401612, alloc=14677376, time=313.14 +bytes used=2057402032, alloc=14677376, time=313.23 +bytes used=2058421540, alloc=14677376, time=313.32 +bytes used=2059421760, alloc=14677376, time=313.41 +bytes used=2060465052, alloc=14677376, time=313.50 +bytes used=2061488848, alloc=14677376, time=313.59 +bytes used=2062495992, alloc=14677376, time=313.69 +bytes used=2063496244, alloc=14677376, time=313.77 +bytes used=2064496488, alloc=14677376, time=313.87 +bytes used=2065496680, alloc=14677376, time=313.96 +bytes used=2066497092, alloc=14677376, time=314.06 +bytes used=2067497412, alloc=14677376, time=314.16 +bytes used=2068497544, alloc=14677376, time=314.26 +bytes used=2069497672, alloc=14677376, time=314.36 +bytes used=2070497872, alloc=14677376, time=314.46 +bytes used=2071498476, alloc=14677376, time=314.55 +bytes used=2072511432, alloc=14677376, time=314.62 +bytes used=2073516044, alloc=14677376, time=314.70 + 2 2 +[COEFF(-2, -2, -2) = 1/175 z + 4/245 x y + 2/175 y z + 2/175 x z + 1/100 y + + 2 137 + - 2/175 y + 1/100 x - ---- - 1/125 z - 2/175 x, COEFF(-1, -2, -2) = + 5250 + + 107 2 2 2 + 1/175 x + ---- - 1/50 x + 1/350 z + 1/200 y - 1/175 y - 2/245 x y + 7000 + + - 1/250 z + 1/175 y z - 1/175 x z, + + COEFF(0, -2, -2) = - 2/175 x z + 2/175 x - 4/245 x y, COEFF(1, -2, -2) = + + 2 2 107 2 + 1/175 y - 1/350 z + 1/50 x - 1/175 y z - ---- - 1/200 y + 1/250 z + 7000 + + 137 + + 1/175 x - 1/175 x z - 2/245 x y, COEFF(2, -2, -2) = ---- - 2/175 y z + 5250 + + 2 2 + + 1/125 z - 1/175 z + 2/175 y + 4/245 x y - 2/175 x - 1/100 x + + 2 2 107 + + 2/175 x z - 1/100 y , COEFF(-2, -1, -2) = - 1/175 x + 1/200 x + ---- + 7000 + + 2 2 + - 1/250 z + 1/175 x z - 1/50 y - 1/175 y z - 2/245 x y + 1/350 z + + 229 + + 1/175 y, COEFF(-1, -1, -2) = - 1/350 x z + 1/350 y - 1/350 y z + ----- + 10500 + + 2 2 2 + + 1/245 x y - 1/500 z + 1/350 x - 1/100 x + 1/700 z - 1/100 y , + + COEFF(0, -1, -2) = 1/175 x + 2/245 x y - 1/175 x z, COEFF(1, -1, -2) = + + 2 2 + 1/100 y + 1/245 x y - 1/700 z - 1/350 y + 1/350 y z - 1/350 x z + + 2 229 + + 1/100 x + 1/350 x - ----- + 1/500 z, COEFF(2, -1, -2) = - 2/245 x y + 10500 + + 2 2 2 107 + - 1/200 x + 1/175 x z + 1/50 y - 1/175 y - 1/350 z - 1/175 x - ---- + 7000 + + + 1/250 z + 1/175 y z, + + COEFF(-2, 0, -2) = - 2/175 y z + 2/175 y - 4/245 x y, + + COEFF(-1, 0, -2) = 2/245 x y + 1/175 y - 1/175 y z, + + COEFF(0, 0, -2) = 4/245 x y, + + COEFF(1, 0, -2) = 2/245 x y - 1/175 y + 1/175 y z, + + COEFF(2, 0, -2) = 2/175 y z - 4/245 x y - 2/175 y, COEFF(-2, 1, -2) = + + 2 2 2 107 + 1/50 y - 1/350 z + 1/250 z - 2/245 x y - 1/175 y z - 1/200 x - ---- + 7000 + + 2 + - 1/175 x z + 1/175 x + 1/175 y, COEFF(-1, 1, -2) = 1/350 x z + 1/100 y + + 2 2 229 + + 1/350 y - 1/700 z + 1/500 z + 1/100 x - ----- + 1/245 x y - 1/350 x + 10500 + + - 1/350 y z, COEFF(0, 1, -2) = 1/175 x z + 2/245 x y - 1/175 x, + + 229 + COEFF(1, 1, -2) = ----- - 1/350 y - 1/350 x + 1/350 x z + 1/245 x y + 10500 + + 2 2 2 + - 1/500 z + 1/350 y z + 1/700 z - 1/100 x - 1/100 y , COEFF(2, 1, -2) = + + 2 2 107 + 1/175 y z + 1/350 z + 1/175 x - 1/250 z + 1/200 x + ---- - 1/175 x z + 7000 + + 2 137 + - 2/245 x y - 1/175 y - 1/50 y , COEFF(-2, 2, -2) = 2/175 x + ---- + 5250 + + 2 2 + - 2/175 y - 1/175 z - 1/100 x + 4/245 x y + 2/175 y z + 1/125 z + + 2 2 2 + - 2/175 x z - 1/100 y , COEFF(-1, 2, -2) = 1/50 x - 2/245 x y - 1/200 y + + 2 107 + - 1/175 x - 1/350 z + 1/250 z + 1/175 x z - ---- + 1/175 y z - 1/175 y, + 7000 + + COEFF(0, 2, -2) = - 2/175 x + 2/175 x z - 4/245 x y, COEFF(1, 2, -2) = + + 107 2 2 2 + - 1/250 z - 1/175 x + ---- + 1/350 z - 2/245 x y - 1/50 x + 1/200 y + 7000 + + - 1/175 y z + 1/175 y + 1/175 x z, COEFF(2, 2, -2) = - 1/125 z + 4/245 x y + + 2 2 2 + + 1/100 x + 2/175 y + 1/175 z - 2/175 y z - 2/175 x z + 1/100 y + + 137 2 47 + + 2/175 x - ----, COEFF(-2, -2, -1) = 1/100 x - 2/175 y - 1/250 z - ---- + 5250 5250 + + 2 2 + + 1/100 y + 4/245 x y - 1/350 z + 1/175 y z + 1/175 x z - 2/175 x, + + 2 2 167 + COEFF(-1, -2, -1) = - 1/700 z - 1/500 z + 1/200 y + ---- + 1/350 y z + 7000 + + 2 + - 2/245 x y - 1/50 x + 1/175 x - 1/350 x z - 1/175 y, + + COEFF(0, -2, -1) = - 1/175 x z + 2/175 x - 4/245 x y, COEFF(1, -2, -1) = + + 167 2 2 2 + - 1/350 x z - ---- + 1/700 z - 1/200 y + 1/50 x - 1/350 y z + 1/500 z + 7000 + + 2 + - 2/245 x y + 1/175 y + 1/175 x, COEFF(2, -2, -1) = 1/350 z + 1/250 z + + 2 47 2 + - 1/100 x + 2/175 y - 2/175 x + 4/245 x y + ---- - 1/100 y - 1/175 y z + 5250 + + 167 2 + + 1/175 x z, COEFF(-2, -1, -1) = - 2/245 x y + ---- + 1/350 x z - 1/700 z + 7000 + + 2 2 + - 1/500 z - 1/175 x - 1/50 y + 1/200 x - 1/350 y z + 1/175 y, + + 2 2 + COEFF(-1, -1, -1) = - 1/100 y + 1/350 y - 1/1000 z - 1/1400 z - 1/700 x z + + 2 137 + + 1/245 x y + 1/350 x - 1/700 y z - 1/100 x + ----, + 5250 + + COEFF(0, -1, -1) = 1/175 x + 2/245 x y - 1/350 x z, COEFF(1, -1, -1) = + + 2 137 + 1/245 x y - 1/700 x z + 1/1400 z - ---- + 1/350 x - 1/350 y + 1/700 y z + 5250 + + 2 2 2 + + 1/100 y + 1/100 x + 1/1000 z, COEFF(2, -1, -1) = 1/50 y - 1/175 x + + 167 2 2 + + 1/500 z - ---- + 1/350 x z + 1/350 y z - 1/175 y - 1/200 x + 1/700 z + 7000 + + - 2/245 x y, COEFF(-2, 0, -1) = - 1/175 y z - 4/245 x y + 2/175 y, + + COEFF(-1, 0, -1) = 2/245 x y - 1/350 y z + 1/175 y, + + COEFF(0, 0, -1) = 4/245 x y, + + COEFF(1, 0, -1) = - 1/175 y + 1/350 y z + 2/245 x y, + + COEFF(2, 0, -1) = - 4/245 x y - 2/175 y + 1/175 y z, COEFF(-2, 1, -1) = + + 167 2 2 + - 2/245 x y - ---- + 1/700 z + 1/50 y - 1/350 x z - 1/350 y z + 1/175 x + 7000 + + 2 2 + + 1/500 z + 1/175 y - 1/200 x , COEFF(-1, 1, -1) = 1/1000 z + 1/100 x + + 2 137 2 + + 1/700 x z + 1/350 y + 1/100 y - 1/350 x - ---- + 1/1400 z + 1/245 x y + 5250 + + - 1/700 y z, COEFF(0, 1, -1) = - 1/175 x + 2/245 x y + 1/350 x z, + + 2 2 + COEFF(1, 1, -1) = - 1/350 y - 1/1000 z - 1/100 y + 1/700 x z - 1/100 x + + 2 137 + - 1/1400 z + 1/245 x y + 1/700 y z - 1/350 x + ----, COEFF(2, 1, -1) = + 5250 + + 2 2 167 + - 1/350 x z + 1/175 x - 1/700 z - 1/50 y + 1/350 y z + ---- - 1/175 y + 7000 + + 2 2 + - 1/500 z + 1/200 x - 2/245 x y, COEFF(-2, 2, -1) = 1/250 z - 1/100 x + + 2 47 + - 1/175 x z + 2/175 x + 1/350 z - 2/175 y + ---- + 4/245 x y + 1/175 y z + 5250 + + 2 2 + - 1/100 y , COEFF(-1, 2, -1) = - 1/200 y + 1/500 z + 1/350 x z + + 2 2 167 + + 1/350 y z - 1/175 y + 1/700 z - 1/175 x - 2/245 x y + 1/50 x - ----, + 7000 + + COEFF(0, 2, -1) = 1/175 x z - 2/175 x - 4/245 x y, COEFF(1, 2, -1) = + + 2 167 + - 1/500 z - 1/350 y z - 1/700 z + 1/175 y - 1/175 x - 2/245 x y + ---- + 7000 + + 2 2 2 + + 1/200 y - 1/50 x + 1/350 x z, COEFF(2, 2, -1) = 1/100 x - 1/250 z + + 47 2 2 + - 1/175 y z + 2/175 y - ---- + 4/245 x y + 1/100 y - 1/175 x z - 1/350 z + 5250 + + + 2/175 x, COEFF(-2, -2, 0) = + + 2 2 17 2 + 1/100 x - 1/175 z + 4/245 x y - 2/175 x - ---- + 1/100 y - 2/175 y, + 5250 + + COEFF(-1, -2, 0) = + + 2 187 2 2 + - 1/175 y + 1/200 y + 1/175 x + ---- - 1/50 x - 2/245 x y - 1/350 z , + 7000 + + COEFF(0, -2, 0) = 2/175 x - 4/245 x y, COEFF(1, -2, 0) = + + 2 187 2 2 + - 1/200 y - 2/245 x y - ---- + 1/50 x + 1/175 x + 1/350 z + 1/175 y, + 7000 + + COEFF(2, -2, 0) = + + 2 17 2 2 + - 1/100 x + ---- - 2/175 x - 1/100 y + 2/175 y + 1/175 z + 4/245 x y, + 5250 + + COEFF(-2, -1, 0) = + + 2 2 187 2 + - 2/245 x y - 1/350 z - 1/175 x + 1/175 y + 1/200 x + ---- - 1/50 y , + 7000 + + COEFF(-1, -1, 0) = + + 2 2 2 289 + 1/350 y + 1/245 x y - 1/100 x - 1/100 y - 1/700 z + ----- + 1/350 x, + 10500 + + COEFF(0, -1, 0) = 2/245 x y + 1/175 x, COEFF(1, -1, 0) = + + 2 2 2 289 + 1/350 x + 1/100 x + 1/100 y + 1/700 z - ----- - 1/350 y + 1/245 x y, + 10500 + + COEFF(2, -1, 0) = + + 2 187 2 2 + - 2/245 x y - 1/175 y + 1/50 y - ---- - 1/175 x - 1/200 x + 1/350 z , + 7000 + + COEFF(-2, 0, 0) = - 4/245 x y + 2/175 y, + + COEFF(-1, 0, 0) = 2/245 x y + 1/175 y, COEFF(0, 0, 0) = 4/245 x y, + + COEFF(1, 0, 0) = - 1/175 y + 2/245 x y, + + COEFF(2, 0, 0) = - 4/245 x y - 2/175 y, COEFF(-2, 1, 0) = + + 2 2 187 2 + - 1/200 x + 1/50 y - 2/245 x y - ---- + 1/175 y + 1/350 z + 1/175 x, + 7000 + + COEFF(-1, 1, 0) = + + 2 2 289 2 + 1/100 x + 1/700 z - ----- + 1/100 y + 1/350 y - 1/350 x + 1/245 x y, + 10500 + + COEFF(0, 1, 0) = 2/245 x y - 1/175 x, COEFF(1, 1, 0) = + + 2 2 289 2 + - 1/100 y - 1/100 x - 1/350 y + ----- + 1/245 x y - 1/700 z - 1/350 x, + 10500 + + COEFF(2, 1, 0) = + + 2 2 2 187 + - 1/350 z + 1/175 x - 1/50 y + 1/200 x - 2/245 x y + ---- - 1/175 y, + 7000 + + COEFF(-2, 2, 0) = + + 2 2 17 2 + - 1/100 x + 1/175 z + ---- - 1/100 y + 4/245 x y + 2/175 x - 2/175 y, + 5250 + + COEFF(-1, 2, 0) = + + 2 2 187 2 + - 1/175 y - 1/175 x - 2/245 x y + 1/50 x + 1/350 z - ---- - 1/200 y , + 7000 + + COEFF(0, 2, 0) = - 4/245 x y - 2/175 x, COEFF(1, 2, 0) = + + 2 187 2 2 + 1/200 y + 1/175 y + ---- - 1/175 x - 1/350 z - 1/50 x - 2/245 x y, + 7000 + + COEFF(2, 2, 0) = + + 2 2 17 2 + 1/100 y + 4/245 x y - 1/175 z - ---- + 2/175 y + 1/100 x + 2/175 x, + 5250 + + 2 2 + COEFF(-2, -2, 1) = 1/100 x - 1/175 x z - 1/175 y z + 1/250 z + 1/100 y + + 2 47 167 + + 4/245 x y - 1/350 z - 2/175 x - 2/175 y - ----, COEFF(-1, -2, 1) = ---- + 5250 7000 + + 2 2 2 + + 1/175 x + 1/200 y - 1/175 y + 1/500 z - 1/350 y z - 1/50 x - 1/700 z + + - 2/245 x y + 1/350 x z, + + COEFF(0, -2, 1) = - 4/245 x y + 2/175 x + 1/175 x z, COEFF(1, -2, 1) = + + 167 2 2 + - ---- + 1/700 z + 1/175 x + 1/350 y z - 1/500 z + 1/50 x - 2/245 x y + 7000 + + 2 + + 1/350 x z + 1/175 y - 1/200 y , COEFF(2, -2, 1) = - 1/250 z - 1/175 x z + + 47 2 2 2 + + 2/175 y + ---- + 1/175 y z - 1/100 x - 1/100 y - 2/175 x + 1/350 z + 5250 + + 2 + + 4/245 x y, COEFF(-2, -1, 1) = 1/350 y z + 1/175 y - 1/175 x + 1/200 x + + 2 2 167 + + 1/500 z - 1/350 x z - 1/50 y - 2/245 x y - 1/700 z + ----, + 7000 + + 2 2 2 + COEFF(-1, -1, 1) = 1/700 y z - 1/100 x - 1/1400 z - 1/100 y + 1/1000 z + + 137 + + 1/350 y + 1/700 x z + 1/245 x y + ---- + 1/350 x, + 5250 + + COEFF(0, -1, 1) = 1/175 x + 2/245 x y + 1/350 x z, COEFF(1, -1, 1) = + + 2 137 2 + 1/100 y - 1/1000 z + 1/700 x z - 1/700 y z - ---- + 1/245 x y + 1/100 x + 5250 + + 2 2 + + 1/350 x + 1/1400 z - 1/350 y, COEFF(2, -1, 1) = - 1/350 x z + 1/700 z + + 2 167 + + 1/50 y - 1/175 x - 1/350 y z - 1/175 y - 2/245 x y - ---- - 1/500 z + 7000 + + 2 + - 1/200 x , COEFF(-2, 0, 1) = 1/175 y z + 2/175 y - 4/245 x y, + + COEFF(-1, 0, 1) = 2/245 x y + 1/175 y + 1/350 y z, + + COEFF(0, 0, 1) = 4/245 x y, + + COEFF(1, 0, 1) = 2/245 x y - 1/175 y - 1/350 y z, + + COEFF(2, 0, 1) = - 2/175 y - 4/245 x y - 1/175 y z, COEFF(-2, 1, 1) = + + 2 2 167 2 + 1/700 z - 1/200 x - ---- + 1/350 x z + 1/50 y - 1/500 z + 1/175 x + 7000 + + 2 + + 1/175 y - 2/245 x y + 1/350 y z, COEFF(-1, 1, 1) = 1/245 x y + 1/1400 z + + 2 2 137 + + 1/700 y z - 1/1000 z + 1/350 y + 1/100 x + 1/100 y - 1/700 x z - ---- + 5250 + + - 1/350 x, COEFF(0, 1, 1) = - 1/350 x z + 2/245 x y - 1/175 x, + + 2 + COEFF(1, 1, 1) = - 1/700 x z - 1/350 x - 1/350 y + 1/1000 z - 1/100 y + + 2 2 137 + - 1/1400 z - 1/700 y z - 1/100 x + ---- + 1/245 x y, COEFF(2, 1, 1) = + 5250 + + 2 167 2 2 + - 1/700 z + ---- - 1/350 y z + 1/200 x + 1/175 x + 1/500 z - 1/50 y + 7000 + + + 1/350 x z - 2/245 x y - 1/175 y, COEFF(-2, 2, 1) = - 1/175 y z + + 2 47 2 + - 1/100 x + ---- + 1/175 x z + 1/350 z - 2/175 y + 4/245 x y + 2/175 x + 5250 + + 2 2 + - 1/250 z - 1/100 y , COEFF(-1, 2, 1) = - 1/200 y - 1/175 y - 1/500 z + + 2 167 2 + + 1/50 x - 1/350 y z - ---- - 1/175 x - 1/350 x z - 2/245 x y + 1/700 z , + 7000 + + COEFF(0, 2, 1) = - 1/175 x z - 4/245 x y - 2/175 x, COEFF(1, 2, 1) = + + 2 167 2 + 1/175 y - 1/50 x - 1/350 x z + ---- + 1/500 z + 1/350 y z + 1/200 y + 7000 + + 2 2 + - 2/245 x y - 1/175 x - 1/700 z , COEFF(2, 2, 1) = 1/175 y z + 1/100 y + + 2 47 + - 1/350 z - ---- + 2/175 x + 1/175 x z + 1/250 z + 2/175 y + 4/245 x y + 5250 + + 2 2 + + 1/100 x , COEFF(-2, -2, 2) = - 2/175 y z + 1/100 y - 2/175 x - 2/175 y + + 137 2 2 + - ---- + 1/125 z + 4/245 x y - 2/175 x z + 1/175 z + 1/100 x , + 5250 + + 2 2 + COEFF(-1, -2, 2) = 1/175 x z - 1/175 y z + 1/350 z - 1/50 x - 1/175 y + + 2 107 + + 1/175 x - 2/245 x y + 1/200 y + ---- + 1/250 z, + 7000 + + COEFF(0, -2, 2) = - 4/245 x y + 2/175 x + 2/175 x z, COEFF(1, -2, 2) = + + 2 2 2 + 1/175 x + 1/175 y z + 1/175 y + 1/50 x - 1/200 y - 1/350 z + 1/175 x z + + 107 2 2 + - ---- - 2/245 x y - 1/250 z, COEFF(2, -2, 2) = - 1/175 z - 1/100 y + 7000 + + 2 + - 1/100 x - 2/175 x z - 1/125 z + 2/175 y z + 2/175 y - 2/175 x + + 137 107 2 + + 4/245 x y + ----, COEFF(-2, -1, 2) = ---- - 2/245 x y + 1/350 z + 5250 7000 + + 2 2 + + 1/250 z - 1/175 x + 1/175 y z - 1/50 y + 1/175 y + 1/200 x - 1/175 x z + + , COEFF(-1, -1, 2) = 1/350 x z + 1/350 y z + 1/500 z + 1/350 x + 1/350 y + + 2 2 2 229 + - 1/100 x + 1/700 z - 1/100 y + ----- + 1/245 x y, + 10500 + + COEFF(0, -1, 2) = 1/175 x + 2/245 x y + 1/175 x z, COEFF(1, -1, 2) = + + 2 2 229 + 1/350 x + 1/100 x + 1/100 y + 1/245 x y - ----- - 1/500 z - 1/350 y z + 10500 + + 2 107 + - 1/700 z - 1/350 y + 1/350 x z, COEFF(2, -1, 2) = - 1/250 z - ---- + 7000 + + 2 2 + - 1/175 y - 1/175 y z + 1/50 y - 1/200 x - 2/245 x y - 1/175 x + + 2 + - 1/350 z - 1/175 x z, COEFF(-2, 0, 2) = 2/175 y - 4/245 x y + 2/175 y z, + + COEFF(-1, 0, 2) = 1/175 y + 2/245 x y + 1/175 y z, + + COEFF(0, 0, 2) = 4/245 x y, + + COEFF(1, 0, 2) = 2/245 x y - 1/175 y z - 1/175 y, + + COEFF(2, 0, 2) = - 2/175 y z - 2/175 y - 4/245 x y, COEFF(-2, 1, 2) = + + 2 2 2 + - 1/350 z + 1/175 x z - 2/245 x y + 1/175 y - 1/250 z + 1/50 y - 1/200 x + + 107 2 + + 1/175 x + 1/175 y z - ----, COEFF(-1, 1, 2) = 1/245 x y + 1/100 x + 7000 + + 229 2 2 + - 1/500 z - ----- + 1/350 y + 1/100 y - 1/700 z + 1/350 y z - 1/350 x + 10500 + + - 1/350 x z, COEFF(0, 1, 2) = 2/245 x y - 1/175 x - 1/175 x z, + + 2 229 2 + COEFF(1, 1, 2) = - 1/100 y - 1/350 y + ----- - 1/100 x - 1/350 x z + 10500 + + 2 + - 1/350 x - 1/350 y z + 1/700 z + 1/245 x y + 1/500 z, COEFF(2, 1, 2) = + + 2 2 107 + 1/175 x - 1/50 y + 1/250 z - 2/245 x y + 1/350 z + ---- - 1/175 y z + 7000 + + 2 + + 1/200 x + 1/175 x z - 1/175 y, COEFF(-2, 2, 2) = - 2/175 y - 1/125 z + + 2 2 2 + - 1/100 x + 2/175 x z - 1/175 z + 4/245 x y - 1/100 y - 2/175 y z + + 137 2 2 107 2 + + ---- + 2/175 x, COEFF(-1, 2, 2) = - 1/350 z - 1/200 y - ---- + 1/50 x + 5250 7000 + + - 1/250 z - 1/175 x - 1/175 x z - 1/175 y z - 1/175 y - 2/245 x y, + + 107 + COEFF(0, 2, 2) = - 2/175 x - 4/245 x y - 2/175 x z, COEFF(1, 2, 2) = ---- + 7000 + + 2 2 + - 1/50 x + 1/200 y - 1/175 x z + 1/250 z - 2/245 x y + 1/175 y - 1/175 x + + 2 2 137 + + 1/175 y z + 1/350 z , COEFF(2, 2, 2) = 1/100 y + 2/175 x - ---- + 5250 + + 2 2 + + 4/245 x y + 2/175 y + 1/100 x + 1/125 z + 2/175 x z + 1/175 z + + + 2/175 y z] + +> print_coeffs__lc_of_data(%, "coeffs_dxy->coeff_", "fp", +> "3d.coeffs/3d.cube.order4.smooth0/coeffs-dxy.compute.c"); +bytes used=2074516392, alloc=14677376, time=314.78 +bytes used=2075516808, alloc=14677376, time=314.87 +bytes used=2076517336, alloc=14677376, time=314.93 +bytes used=2077517496, alloc=14677376, time=315.02 +bytes used=2078518140, alloc=14677376, time=315.65 +bytes used=2079518320, alloc=14677376, time=316.33 +bytes used=2080518860, alloc=14677376, time=317.00 +bytes used=2081519528, alloc=14677376, time=317.67 +bytes used=2082519692, alloc=14677376, time=318.33 +bytes used=2083519908, alloc=14677376, time=318.78 +bytes used=2084520108, alloc=14677376, time=318.87 +bytes used=2085520376, alloc=14677376, time=318.96 +bytes used=2086543844, alloc=14677376, time=319.04 +bytes used=2087574448, alloc=14677376, time=319.12 +bytes used=2088579428, alloc=14677376, time=319.21 +bytes used=2089579900, alloc=14677376, time=319.30 +bytes used=2090580168, alloc=14677376, time=320.23 +bytes used=2091580460, alloc=14677376, time=321.07 +bytes used=2092580772, alloc=14677376, time=321.40 +bytes used=2093580940, alloc=14677376, time=321.48 +bytes used=2094581108, alloc=14677376, time=321.54 +bytes used=2095581448, alloc=14677376, time=321.61 +bytes used=2096581676, alloc=14677376, time=321.68 +bytes used=2097582320, alloc=14677376, time=321.75 +bytes used=2098583068, alloc=14677376, time=321.82 +bytes used=2099583264, alloc=14677376, time=321.89 +bytes used=2100583472, alloc=14677376, time=321.97 +bytes used=2101583780, alloc=14677376, time=322.09 +bytes used=2102583932, alloc=14677376, time=322.21 +bytes used=2103584112, alloc=14677376, time=322.32 +bytes used=2104584280, alloc=14677376, time=322.44 +bytes used=2105584504, alloc=14677376, time=322.58 +bytes used=2106586816, alloc=14677376, time=322.70 +bytes used=2107587152, alloc=14677376, time=322.80 +bytes used=2108587304, alloc=14677376, time=323.48 +bytes used=2109587572, alloc=14677376, time=324.95 +bytes used=2110598988, alloc=14677376, time=325.47 +bytes used=2111599168, alloc=14677376, time=325.56 +bytes used=2112599372, alloc=14677376, time=325.63 +bytes used=2113599632, alloc=14677376, time=325.70 +bytes used=2114599952, alloc=14677376, time=325.78 +bytes used=2115600208, alloc=14677376, time=325.85 +bytes used=2116600416, alloc=14677376, time=325.92 +bytes used=2117600584, alloc=14677376, time=326.02 +bytes used=2118604176, alloc=14677376, time=326.18 +bytes used=2119616388, alloc=14677376, time=326.30 +bytes used=2120617124, alloc=14677376, time=326.42 +bytes used=2121617256, alloc=14677376, time=327.24 +bytes used=2122622952, alloc=14677376, time=328.49 +bytes used=2123623132, alloc=14677376, time=329.04 +bytes used=2124623436, alloc=14677376, time=329.34 +bytes used=2125623588, alloc=14677376, time=329.42 +bytes used=2126623748, alloc=14677376, time=329.51 +bytes used=2127623952, alloc=14677376, time=329.72 +bytes used=2128624188, alloc=14677376, time=331.30 +bytes used=2129624340, alloc=14677376, time=332.07 +bytes used=2130624700, alloc=14677376, time=332.36 +bytes used=2131624856, alloc=14677376, time=332.43 +bytes used=2132625020, alloc=14677376, time=332.60 +bytes used=2133625172, alloc=14677376, time=333.70 +bytes used=2134625464, alloc=14677376, time=334.94 +bytes used=2135626204, alloc=14677376, time=335.42 +bytes used=2136626416, alloc=14677376, time=335.53 +bytes used=2137626668, alloc=14677376, time=335.69 +> +# d^2/dxdz +> simplify( diff(interp_3d_cube_order4_smooth0,x,z) ); +bytes used=2138626836, alloc=14677376, time=335.83 +bytes used=2139627056, alloc=14677376, time=335.92 +bytes used=2140627992, alloc=14677376, time=336.00 +bytes used=2141628992, alloc=14677376, time=336.08 +bytes used=2142629232, alloc=14677376, time=336.16 +bytes used=2143629400, alloc=14677376, time=336.25 +bytes used=2144629560, alloc=14677376, time=336.33 +bytes used=2145630268, alloc=14677376, time=336.42 +bytes used=2146630556, alloc=14677376, time=336.50 + 107 229 +- ---- DATA(-2, -2, 1) + 1/700 y z DATA(1, -1, -1) + ----- DATA(1, -2, 1) + 7000 10500 + + 187 229 + - 1/700 y z DATA(-1, -1, -1) - ---- DATA(2, 0, -1) - ----- DATA(-1, -2, 1) + 7000 10500 + + - 1/700 y z DATA(1, 1, -1) + 2/175 x DATA(0, -1, -2) + + + 1/700 y z DATA(-1, 1, -1) + 1/700 y z DATA(-1, 1, 1) + + 167 107 + - ---- DATA(-2, -1, 1) + ---- DATA(2, -2, 1) + 1/350 x DATA(-1, -2, -1) + 7000 7000 + + 187 + - ---- DATA(-2, 0, 1) + 1/175 x DATA(-2, 1, 1) - 2/175 x DATA(0, -1, 2) + 7000 + + - 1/175 x DATA(0, 1, 1) + 2/175 x DATA(0, 2, -2) - 2/175 x DATA(0, 2, 2) + + + 2/175 x DATA(0, 1, -2) - 1/350 x DATA(1, 1, 1) - 1/175 x DATA(0, -2, 1) + + 187 + + 1/175 x DATA(0, 2, -1) - 2/175 x DATA(0, 1, 2) + ---- DATA(1, 0, 2) + 7000 + + - 1/175 x DATA(0, -1, 1) + 1/175 x DATA(0, 1, -1) + + + 1/175 x DATA(0, -1, -1) + 2/175 x DATA(0, -2, -2) + + + 1/350 x DATA(-1, 2, -1) - 1/175 x DATA(2, 1, -1) + + - 1/175 x DATA(2, 2, -1) + 1/350 x DATA(1, 2, -1) + + + 1/175 x DATA(0, -2, -1) - 2/175 x DATA(0, -2, 2) - 1/175 x DATA(0, 2, 1) + + 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1/350 x y DATA(0, -1, -1) - 2/175 x y DATA(0, -2, -2) + + - 4/245 x z DATA(-2, 0, 0) + 4/245 x z DATA(0, -1, 0) + + + 2/245 x z DATA(-1, 0, 0) + 4/245 x z DATA(0, 0, 0) + + + 4/245 x z DATA(0, 2, 0) + 2/245 x z DATA(-1, 1, 0) + + - 4/245 x z DATA(2, 2, 0) + 2/245 x z DATA(1, 2, 0) + + - 4/245 x z DATA(2, -1, 0) - 4/245 x z DATA(2, 1, 0) + + + 2/245 x z DATA(1, -1, 0) - 4/245 x z DATA(-2, 1, 0) + + 2 + - 1/100 x DATA(-1, 0, -1) - 4/245 x z DATA(0, 0, 2) + + + 2/245 x z DATA(0, 0, -1) + 2/245 x z DATA(-1, 2, 0) + + + 2/245 x z DATA(0, 0, 1) + 4/245 x z DATA(-2, 0, -2) + + - 2/245 x z DATA(-1, 0, -2) - 2/245 x z DATA(1, 0, -2) + + + 1/245 x z DATA(1, 0, -1) + 1/245 x z DATA(-1, 0, 1) + + - 2/245 x z DATA(2, 0, -1) - 2/245 x z DATA(-2, 0, 1) + + - 2/245 x z DATA(1, 0, 2) + 1/245 x z DATA(-1, 0, -1) + + 2 + + 4/245 x z DATA(-2, 0, 2) - 1/100 x DATA(1, 0, 1) + + 2 + - 1/200 x DATA(-2, 0, 1) + 1/245 x z DATA(1, 0, 1) + + 167 + - 4/245 x z DATA(2, -2, 0) - ---- DATA(-1, -1, 2) + 7000 + + 2 107 + + 1/175 z DATA(-2, 0, -1) - 1/50 z DATA(-2, 0, -1) + ---- DATA(2, 2, 1) + 7000 + + 137 + + ---- DATA(-2, -2, 2) - 1/350 y z DATA(-1, -1, 0) + 5250 + + - 2/175 y z DATA(-2, -2, 0) + 2/175 y z DATA(-2, 2, 0) + + - 1/175 y z DATA(-1, -2, 0) + 2/175 y z DATA(2, -2, 0) + + + 1/350 y z DATA(-1, 1, 0) + 1/175 y z DATA(1, -2, 0) + + - 1/175 y z DATA(-2, -1, 0) - 1/175 y z DATA(2, 1, 0) + + + 1/175 y z DATA(-1, 2, 0) - 1/350 y z DATA(1, 1, 0) + + + 1/175 y z DATA(-2, 1, 0) + 1/350 y z DATA(1, -1, 0) + + + 1/175 y z DATA(2, -1, 0) - 1/175 y z DATA(1, 2, 0) + + - 2/175 y z DATA(2, 2, 0) - 4/245 x z DATA(0, 0, -2) + + + 2/245 x z DATA(1, -2, 0) - 4/245 x z DATA(-2, -1, 0) + + + 2/245 x z DATA(1, 1, 0) - 4/245 x z DATA(2, 0, 0) + + + 2/245 x z DATA(-1, -2, 0) - 4/245 x z DATA(-2, 2, 0) + + + 4/245 x z DATA(0, -2, 0) + 2/245 x z DATA(1, 0, 0) + + + 4/245 x z DATA(0, 1, 0) + 2/245 x z DATA(-1, -1, 0) + + 229 + - 4/245 x z DATA(-2, -2, 0) - ----- DATA(1, -2, -1) + 10500 + + + 2/175 z DATA(2, 0, 2) + 2/175 z DATA(2, 0, -2) - 2/175 z DATA(2, -1, 0) + + - 1/175 z DATA(1, -2, 0) + 2/175 z DATA(-2, -1, 0) - 1/175 z DATA(1, 1, 0) + + + 1/175 z DATA(-1, 2, 0) - 2/175 z DATA(2, 1, 0) + 2/175 z DATA(-2, 0, 0) + + + 1/175 z DATA(-1, 0, 0) - 1/175 z DATA(1, -1, 0) - 1/175 z DATA(-1, 0, 2) + + - 1/175 z DATA(2, 0, 1) - 1/175 z DATA(-1, 0, -2) + 2/175 z DATA(-2, 1, 0) + + + 1/175 z DATA(-1, 1, 0) - 2/175 z DATA(2, 2, 0) - 1/175 z DATA(1, 2, 0) + + - 2/175 z DATA(-2, 0, -2) + 1/175 z DATA(1, 0, -2) + + 167 + - 1/350 z DATA(1, 0, -1) + ---- DATA(1, -1, 2) - 2/175 z DATA(2, -2, 0) + 7000 + + - 1/175 z DATA(2, 0, -1) + 1/175 z DATA(-2, 0, 1) + 1/175 z DATA(1, 0, 2) + + + 1/350 z DATA(-1, 0, -1) - 2/175 z DATA(-2, 0, 2) + + + 1/175 z DATA(-1, -1, 0) + 2/175 z DATA(-2, -2, 0) + + - 1/350 z DATA(1, 0, 1) + 1/350 z DATA(-1, 0, 1) + 1/175 z DATA(-1, -2, 0) + + + 2/175 z DATA(-2, 2, 0) - 1/175 z DATA(1, 0, 0) - 2/175 z DATA(2, 0, 0) + + 2 2 2 + + 1/100 z DATA(2, 0, 2) - 1/200 z DATA(-1, 0, 2) - 1/50 z DATA(2, 0, 1) + + 2 2 + - 1/100 z DATA(2, 0, -2) + 1/200 z DATA(-1, 0, -2) + + 2 2 + + 1/100 z DATA(-2, 0, -2) - 1/200 z DATA(1, 0, -2) + + 2 2 + + 1/100 z DATA(1, 0, -1) - 1/100 z DATA(-2, 0, 2) + + 2 2 + + 1/50 z DATA(-2, 0, 1) + 1/200 z DATA(1, 0, 2) + + 2 2 + - 1/100 z DATA(-1, 0, -1) - 1/100 z DATA(1, 0, 1) + + 2 2 + + 1/50 z DATA(2, 0, -1) + 1/100 z DATA(-1, 0, 1) + + 2 2 + - 1/350 y DATA(-2, 0, -1) + 1/175 y DATA(2, 0, -2) + + 2 2 + - 1/175 y DATA(2, 0, 2) + 1/350 y DATA(-1, 0, 2) + + 2 2 + - 1/350 y DATA(2, 0, 1) + 1/700 y DATA(1, 0, -1) + + 2 2 + - 1/175 y DATA(-2, 0, -2) - 1/350 y DATA(-1, 0, -2) + + 2 2 + + 1/350 y DATA(1, 0, -2) + 1/350 y DATA(2, 0, -1) + + 2 2 + + 1/175 y DATA(-2, 0, 2) + 1/700 y DATA(-1, 0, 1) + + 2 + - 4/245 x z DATA(0, 1, 2) + 1/350 y DATA(-2, 0, 1) + + 2 2 + - 1/350 y DATA(1, 0, 2) - 1/700 y DATA(-1, 0, -1) + + 2 + - 1/700 y DATA(1, 0, 1) - 1/175 x DATA(-2, 0, -1) + + - 1/175 x DATA(-1, 0, 2) + 1/175 x DATA(2, 0, 1) - 2/175 x DATA(2, 0, -2) + + + 2/175 x DATA(0, 0, -2) - 1/175 x DATA(0, 0, 1) + 2/175 x DATA(2, 0, 2) + + + 1/175 x DATA(1, 0, -2) - 2/175 x DATA(0, 0, 2) + 1/175 x DATA(0, 0, -1) + + + 2/175 x DATA(-2, 0, 2) - 2/175 x DATA(-2, 0, -2) + + + 1/175 x DATA(-1, 0, -2) - 1/175 x DATA(1, 0, 2) + + + 1/350 x DATA(-1, 0, -1) - 1/350 x DATA(1, 0, 1) - 1/350 x DATA(-1, 0, 1) + + + 1/350 x DATA(1, 0, -1) - 1/175 x DATA(2, 0, -1) + 1/175 x DATA(-2, 0, 1) + + 2 2 + + 1/200 x DATA(-2, 0, -1) + 1/100 x DATA(2, 0, 2) + + 2 2 + + 1/50 x DATA(-1, 0, 2) + 1/200 x DATA(2, 0, 1) + + 2 2 + - 1/100 x DATA(2, 0, -2) - 1/50 x DATA(-1, 0, -2) + + 2 2 + + 1/50 x DATA(1, 0, -2) + 1/100 x DATA(1, 0, -1) + + 2 2 + - 1/200 x DATA(2, 0, -1) - 1/100 x DATA(-2, 0, 2) + + 2 2 + + 1/100 x DATA(-2, 0, -2) + 1/100 x DATA(-1, 0, 1) + + 2 + - 2/245 x z DATA(-2, 0, -1) - 1/50 x DATA(1, 0, 2) + + + 4/245 x z DATA(2, 0, 2) - 2/245 x z DATA(-1, 0, 2) + + 17 + - 2/245 x z DATA(2, 0, 1) + 4/245 x z DATA(2, 0, -2) - ---- DATA(2, 0, 2) + 5250 + + 187 167 107 + - ---- DATA(-1, 0, 2) + ---- DATA(-2, -1, -1) - ---- DATA(2, -2, -1) + 7000 7000 7000 + + 47 167 167 + - ---- DATA(2, -1, 2) + ---- DATA(1, 1, 2) - ---- DATA(-1, 1, 2) + 5250 7000 7000 + + 107 107 187 + - ---- DATA(-1, -2, 2) + ---- DATA(1, -2, 2) + ---- DATA(-2, 0, -1) + 7000 7000 7000 + + 107 47 107 + - ---- DATA(-1, 2, 2) - ---- DATA(2, 1, 2) + ---- DATA(1, 2, 2) + 7000 5250 7000 + + 167 + + ---- DATA(-2, 1, -1) + 1/175 y z DATA(1, 2, 2) + 7000 + + - 4/245 x z DATA(0, -2, -2) + 2/245 x z DATA(0, -2, 1) + + 137 137 + + 2/245 x z DATA(0, 2, -1) - ---- DATA(-1, -1, 1) + ---- DATA(1, -1, 1) + 5250 5250 + + 289 137 289 + - ----- DATA(-1, 0, 1) - ---- DATA(-1, 1, 1) - ----- DATA(1, 0, -1) + 10500 5250 10500 + + 137 137 137 + + ---- DATA(-1, 1, -1) - ---- DATA(1, 1, -1) + ---- DATA(-1, -1, -1) + 5250 5250 5250 + + 137 137 107 + - ---- DATA(1, -1, -1) - ---- DATA(2, -2, 2) + ---- DATA(-2, 2, -1) + 5250 5250 7000 + + 137 + - ---- DATA(2, 2, 2) + 1/350 y z DATA(1, 1, -2) + 5250 + + - 1/175 y z DATA(-1, 2, -2) - 1/175 y z DATA(2, 2, 1) + + - 1/350 y z DATA(2, 1, 1) + 1/350 y z DATA(-1, -1, 2) + + - 1/350 y z DATA(1, 2, 1) + 2/175 y z DATA(2, 2, -2) + + + 1/350 y z DATA(2, -1, 1) + 1/350 y z DATA(-1, 2, 1) + + - 1/175 y z DATA(-2, -2, -1) + 1/175 y z DATA(-1, -2, 2) + + - 1/175 y z DATA(1, -2, 2) - 1/175 y z DATA(2, -1, 2) + + + 1/350 y z DATA(1, 1, 2) - 1/350 y z DATA(-1, 1, 2) + + - 1/350 y z DATA(1, -1, 2) + 1/175 y z DATA(2, -2, -1) + + - 1/350 y z DATA(-2, -1, -1) - 4/245 x z DATA(0, -1, -2) + + + 2/175 y z DATA(-2, -2, 2) + 1/350 y z DATA(1, -2, -1) + + + 1/350 y z DATA(-2, 1, -1) + 1/175 y z DATA(2, 1, 2) + + - 1/175 y z DATA(-1, 2, 2) + 2/245 x z DATA(0, -1, 1) + + - 2/175 y z DATA(2, -2, 2) + 1/175 y z DATA(-2, 2, -1) + + 47 + + ---- DATA(-2, -1, 2) + 2/175 y z DATA(2, 2, 2) + 5250 + + + 2/245 x z DATA(0, 1, -1) + 2/245 x z DATA(0, -1, -1) + + - 1/700 y z DATA(-1, -1, 1) + 2/175 y z DATA(-2, -2, -2) + + - 2/175 y z DATA(-2, 2, 2) - 1/175 y z DATA(-2, 1, 2) + + + 1/175 y z DATA(-2, -1, 2) + 1/175 y z DATA(-2, -1, -2) + + - 1/350 y z DATA(1, -1, -2) - 2/175 y z DATA(2, -2, -2) + + - 1/175 y z DATA(1, -2, -2) + 1/175 y z DATA(-1, -2, -2) + + + 1/350 y z DATA(-1, -1, -2) - 1/175 y z DATA(2, -1, -2) + + - 2/175 y z DATA(-2, 2, -2) - 1/350 y z DATA(-1, -2, -1) + + - 4/245 x z DATA(0, 2, -2) + 1/175 y z DATA(1, 2, -2) + + + 2/245 x z DATA(0, 2, 1) + 2/245 x z DATA(0, -2, -1) + + - 1/175 y z DATA(-2, 1, -2) - 4/245 x z DATA(0, -2, 2) + + + 1/700 y z DATA(1, -1, 1) + 1/175 y z DATA(-2, 2, 1) + + 17 + + ---- DATA(-2, 0, 2) + 1/350 y z DATA(2, -1, -1) + 5250 + + + 1/175 y z DATA(2, -2, 1) - 1/175 y z DATA(-2, -2, 1) + + 47 + + ---- DATA(-2, 1, 2) + 1/350 y z DATA(-2, 1, 1) + 5250 + + - 1/350 y z DATA(-1, 1, -2) + 1/175 y z DATA(2, 1, -2) + + - 1/350 y z DATA(-2, -1, 1) - 1/350 y z DATA(-1, -2, 1) + + - 1/350 y z DATA(2, 1, -1) + 1/350 y z DATA(-1, 2, -1) + + - 1/700 y z DATA(1, 1, 1) + 1/175 x y DATA(0, -1, 2) + + - 1/350 x y DATA(0, 1, 1) + 1/175 x y DATA(0, 1, -2) + + - 1/350 y z DATA(1, 2, -1) - 1/175 y z DATA(2, 2, -1) + + - 4/245 x z DATA(0, 2, 2) - 4/245 x z DATA(0, 1, -2) + + - 4/245 x z DATA(0, -1, 2) + 2/245 x z DATA(0, 1, 1) + + + 1/350 y z DATA(1, -2, 1) - 1/350 x y DATA(2, -1, 1) + + - 1/350 x y DATA(-1, 2, 1) + 1/175 x y DATA(-2, -2, -1) + + + 1/175 x y DATA(-1, -2, 2) + 1/175 x y DATA(1, -2, 2) + + + 1/350 x y DATA(1, 1, -2) + 1/175 x y DATA(-1, 2, -2) + + + 1/175 x y DATA(2, 2, 1) + 1/350 x y DATA(2, 1, 1) + + + 1/350 x y DATA(-1, -1, 2) - 1/350 x y DATA(1, 2, 1) + + - 2/175 x y DATA(2, 2, -2) + 1/175 x y DATA(-2, 2, 1) + + - 1/350 x y DATA(-1, -2, -1) - 2/175 x y DATA(-2, 2, -2) + + - 1/175 x y DATA(-2, 1, -2) + 1/175 x y DATA(1, 2, -2) + + - 1/350 x y DATA(2, 1, -1) - 1/175 x y DATA(2, 2, -1) + + + 1/350 x y DATA(1, 2, -1) + 1/350 x y DATA(-1, -2, 1) + + 137 + - ---- DATA(-2, -2, -2) - 1/350 x y DATA(-2, -1, 1) + 5250 + + - 1/175 x y DATA(2, 1, -2) + 1/350 x y DATA(-1, 1, -2) + + 137 + + ---- DATA(-2, 2, 2) + 1/350 x y DATA(-2, 1, 1) - 1/700 x y DATA(1, 1, 1) + 5250 + + 107 107 + + 1/350 x y DATA(-1, 2, -1) - ---- DATA(1, -2, -2) + ---- DATA(-1, -2, -2) + 7000 7000 + + 47 + - ---- DATA(-2, -1, -2) - 1/175 x y DATA(2, -2, 1) + 5250 + + 137 167 + + 1/350 x y DATA(2, -1, -1) + ---- DATA(2, -2, -2) - ---- DATA(1, -1, -2) + 5250 7000 + + 167 + + ---- DATA(-1, -1, -2) - 1/175 x y DATA(-2, -2, 1) + 7000 + + 17 47 + + 1/350 x y DATA(1, -2, 1) - ---- DATA(-2, 0, -2) + ---- DATA(2, -1, -2) + 5250 5250 + + 187 187 + + ---- DATA(-1, 0, -2) - ---- DATA(1, 0, -2) + 7000 7000 + +> coeffs_as_lc_of_data(%, posn_list_3d_size5); +bytes used=2147630820, alloc=14677376, time=336.59 +bytes used=2148652936, alloc=14677376, time=336.67 +bytes used=2149732100, alloc=14677376, time=336.76 +bytes used=2150732228, alloc=14677376, time=336.84 +bytes used=2151732352, alloc=14677376, time=336.93 +bytes used=2152732708, alloc=14677376, time=337.01 +bytes used=2153733264, alloc=14677376, time=337.09 +bytes used=2154733568, alloc=14677376, time=337.18 +bytes used=2155784480, alloc=14677376, time=337.27 +bytes used=2156784780, alloc=14677376, time=337.35 +bytes used=2157799080, alloc=14677376, time=337.44 +bytes used=2158799376, alloc=14677376, time=337.53 +bytes used=2159799712, alloc=14677376, time=337.62 +bytes used=2160799872, alloc=14677376, time=337.72 +bytes used=2161804804, alloc=14677376, time=337.81 +bytes used=2162805384, alloc=14677376, time=337.91 +bytes used=2163806924, alloc=14677376, time=338.00 +bytes used=2164823788, alloc=14677376, time=338.10 +bytes used=2165823980, alloc=14677376, time=338.19 +bytes used=2166833724, alloc=14677376, time=338.29 +bytes used=2167845536, alloc=14677376, time=338.40 +bytes used=2168845656, alloc=14677376, time=338.51 +bytes used=2169854616, alloc=14677376, time=338.62 +bytes used=2170869252, alloc=14677376, time=338.70 +bytes used=2171873784, alloc=14677376, time=338.77 +bytes used=2172878644, alloc=14677376, time=338.84 + 2 2 +[COEFF(-2, -2, -2) = 1/100 x + 1/175 y + 4/245 x z - 2/175 z - 2/175 x + + 137 2 + - 1/125 y + 2/175 x y + 2/175 y z - ---- + 1/100 z , COEFF(-1, -2, -2) = + 5250 + + 107 2 2 + - 1/250 y + ---- - 1/175 x y - 2/245 x z - 1/50 x + 1/350 y - 1/175 z + 7000 + + 2 + + 1/200 z + 1/175 x + 1/175 y z, + + COEFF(0, -2, -2) = 2/175 x - 4/245 x z - 2/175 x y, COEFF(1, -2, -2) = + + 107 2 2 2 + - ---- + 1/50 x + 1/175 z - 1/175 x y - 1/350 y - 1/200 z - 2/245 x z + 7000 + + 137 + + 1/175 x + 1/250 y - 1/175 y z, COEFF(2, -2, -2) = 2/175 x y + ---- + 5250 + + 2 + - 2/175 y z + 2/175 z + 4/245 x z - 1/100 z - 2/175 x + 1/125 y + + 2 2 2 + - 1/175 y - 1/100 x , COEFF(-2, -1, -2) = 1/175 y z + 1/100 z - 1/250 y + + 2 47 2 + + 1/100 x - 2/175 z - ---- - 1/350 y + 4/245 x z - 2/175 x + 1/175 x y, + 5250 + + COEFF(-1, -1, -2) = - 1/350 x y - 1/500 y - 1/175 z + 1/175 x - 2/245 x z + + 2 2 2 167 + + 1/200 z - 1/50 x - 1/700 y + ---- + 1/350 y z, + 7000 + + COEFF(0, -1, -2) = - 1/175 x y - 4/245 x z + 2/175 x, COEFF(1, -1, -2) = + + 2 2 167 + 1/50 x - 1/350 y z + 1/700 y - 1/350 x y - ---- + 1/175 z + 1/500 y + 7000 + + 2 2 + - 1/200 z - 2/245 x z + 1/175 x, COEFF(2, -1, -2) = - 1/100 x + + 2 47 + - 1/175 y z + 1/250 y + 4/245 x z - 2/175 x + 1/350 y + 1/175 x y + ---- + 5250 + + 2 + + 2/175 z - 1/100 z , COEFF(-2, 0, -2) = + + 17 2 2 2 + - ---- - 2/175 x - 2/175 z - 1/175 y + 4/245 x z + 1/100 z + 1/100 x , + 5250 + + COEFF(-1, 0, -2) = + + 2 2 187 2 + - 1/50 x - 1/350 y + ---- + 1/200 z - 1/175 z + 1/175 x - 2/245 x z, + 7000 + + COEFF(0, 0, -2) = 2/175 x - 4/245 x z, COEFF(1, 0, -2) = + + 2 187 2 2 + - 1/200 z - ---- + 1/175 z + 1/350 y - 2/245 x z + 1/50 x + 1/175 x, + 7000 + + COEFF(2, 0, -2) = + + 2 2 17 2 + - 2/175 x - 1/100 x - 1/100 z + ---- + 2/175 z + 4/245 x z + 1/175 y , + 5250 + + 2 2 47 + COEFF(-2, 1, -2) = - 1/175 y z - 1/350 y + 1/100 z - 1/175 x y - ---- + 5250 + + 2 + + 4/245 x z - 2/175 x + 1/250 y + 1/100 x - 2/175 z, COEFF(-1, 1, -2) = + + 2 2 2 + - 2/245 x z - 1/50 x - 1/350 y z + 1/200 z - 1/700 y + 1/350 x y + + 167 + - 1/175 z + 1/175 x + ---- + 1/500 y, + 7000 + + COEFF(0, 1, -2) = 2/175 x + 1/175 x y - 4/245 x z, COEFF(1, 1, -2) = + + 2 2 167 + 1/700 y + 1/50 x - ---- - 1/500 y - 2/245 x z + 1/350 y z + 1/350 x y + 7000 + + 2 2 + + 1/175 x + 1/175 z - 1/200 z , COEFF(2, 1, -2) = - 1/100 x + 1/175 y z + + 2 47 + - 2/175 x + 2/175 z - 1/250 y - 1/175 x y + 4/245 x z + 1/350 y + ---- + 5250 + + 2 2 + - 1/100 z , COEFF(-2, 2, -2) = 1/175 y - 2/175 z - 2/175 x y + 1/125 y + + 2 137 2 + - 2/175 x + 4/245 x z + 1/100 z - ---- - 2/175 y z + 1/100 x , + 5250 + + 2 107 + COEFF(-1, 2, -2) = 1/350 y - 2/245 x z + ---- + 1/175 x - 1/175 y z + 7000 + + 2 2 + + 1/250 y - 1/50 x + 1/200 z - 1/175 z + 1/175 x y, + + COEFF(0, 2, -2) = 2/175 x y - 4/245 x z + 2/175 x, COEFF(1, 2, -2) = + + 2 2 + - 1/350 y - 1/250 y + 1/175 x y + 1/175 z - 2/245 x z + 1/50 x + + 2 107 + + 1/175 y z - 1/200 z - ---- + 1/175 x, COEFF(2, 2, -2) = - 1/125 y + 7000 + + 137 2 2 + + 4/245 x z + 2/175 y z - 2/175 x y + ---- - 1/175 y - 1/100 z + 5250 + + 2 + - 1/100 x - 2/175 x + 2/175 z, COEFF(-2, -2, -1) = 1/175 x y - 1/175 x + + 107 2 2 + + ---- - 1/250 y - 1/50 z + 1/175 z - 2/245 x z + 1/350 y - 1/175 y z + 7000 + + 2 2 2 + + 1/200 x , COEFF(-1, -2, -1) = 1/245 x z - 1/100 z - 1/100 x - 1/500 y + + 229 2 + - 1/350 x y + 1/350 x - 1/350 y z + ----- + 1/350 z + 1/700 y , + 10500 + + COEFF(0, -2, -1) = 1/175 x + 2/245 x z - 1/175 x y, COEFF(1, -2, -1) = + + 2 2 + 1/100 x - 1/350 x y + 1/500 y + 1/350 y z + 1/350 x + 1/245 x z - 1/700 y + + 2 229 107 + + 1/100 z - 1/350 z - -----, COEFF(2, -2, -1) = - ---- + 1/175 y z + 10500 7000 + + 2 2 2 + - 1/350 y - 1/175 x - 1/175 z + 1/250 y - 1/200 x + 1/50 z + 1/175 x y + + 2 + - 2/245 x z, COEFF(-2, -1, -1) = - 1/50 z + 1/350 x y + 1/175 z + + 2 2 167 + + 1/200 x - 1/700 y - 2/245 x z - 1/175 x - 1/350 y z - 1/500 y + ----, + 7000 + + 2 2 + COEFF(-1, -1, -1) = - 1/100 z - 1/700 x y + 1/350 z + 1/350 x - 1/100 x + + 2 137 + - 1/1400 y - 1/700 y z + 1/245 x z - 1/1000 y + ----, + 5250 + + COEFF(0, -1, -1) = - 1/350 x y + 1/175 x + 2/245 x z, COEFF(1, -1, -1) = + + 2 2 137 2 + - 1/350 z + 1/100 z + 1/700 y z + 1/1400 y - ---- + 1/350 x + 1/100 x + 5250 + + 167 + - 1/700 x y + 1/1000 y + 1/245 x z, COEFF(2, -1, -1) = - ---- - 2/245 x z + 7000 + + 2 2 2 + + 1/700 y - 1/175 x + 1/50 z - 1/175 z + 1/500 y + 1/350 x y - 1/200 x + + + 1/350 y z, COEFF(-2, 0, -1) = + + 2 187 2 2 + - 1/350 y + ---- - 1/175 x - 1/50 z - 2/245 x z + 1/175 z + 1/200 x , + 7000 + + COEFF(-1, 0, -1) = + + 2 289 2 2 + 1/245 x z + 1/350 z + 1/350 x - 1/700 y + ----- - 1/100 z - 1/100 x , + 10500 + + COEFF(0, 0, -1) = 1/175 x + 2/245 x z, COEFF(1, 0, -1) = + + 2 289 2 2 + 1/100 z + 1/245 x z - ----- - 1/350 z + 1/350 x + 1/100 x + 1/700 y , + 10500 + + COEFF(2, 0, -1) = + + 187 2 2 2 + - ---- - 1/200 x - 1/175 x - 2/245 x z - 1/175 z + 1/50 z + 1/350 y , + 7000 + + 2 167 2 + COEFF(-2, 1, -1) = - 1/700 y + 1/175 z + ---- - 1/350 x y + 1/200 x + 7000 + + 2 + + 1/500 y + 1/350 y z - 1/175 x - 1/50 z - 2/245 x z, COEFF(-1, 1, -1) = + + 2 2 + 1/1000 y - 1/100 z + 1/700 x y + 1/245 x z + 1/700 y z - 1/100 x + + 2 137 + - 1/1400 y + ---- + 1/350 z + 1/350 x, + 5250 + + COEFF(0, 1, -1) = 2/245 x z + 1/175 x + 1/350 x y, COEFF(1, 1, -1) = + + 2 2 2 + 1/1400 y + 1/100 z + 1/245 x z - 1/350 z + 1/350 x + 1/100 x + 1/700 x y + + 137 2 2 + - 1/1000 y - 1/700 y z - ----, COEFF(2, 1, -1) = 1/700 y - 1/200 x + 5250 + + 167 + - 1/350 y z - ---- - 1/175 x - 1/175 z - 1/350 x y - 2/245 x z - 1/500 y + 7000 + + 2 2 + + 1/50 z , COEFF(-2, 2, -1) = - 2/245 x z + 1/250 y - 1/175 x + 1/200 x + + 2 2 107 + + 1/175 y z + 1/175 z - 1/175 x y - 1/50 z + 1/350 y + ----, + 7000 + + 2 2 + COEFF(-1, 2, -1) = 1/350 x - 1/100 x - 1/100 z + 1/350 y z + 1/245 x z + + 229 2 + + 1/350 z + 1/500 y + ----- + 1/700 y + 1/350 x y, + 10500 + + COEFF(0, 2, -1) = 1/175 x + 2/245 x z + 1/175 x y, COEFF(1, 2, -1) = + + 2 2 + - 1/350 y z + 1/100 x - 1/350 z + 1/100 z + 1/245 x z + 1/350 x y + + 229 2 + + 1/350 x - 1/500 y - ----- - 1/700 y , COEFF(2, 2, -1) = - 1/175 y z + 10500 + + 2 2 107 + + 1/50 z - 2/245 x z - 1/250 y - 1/175 x y - 1/175 z - 1/200 x - ---- + 7000 + + 2 + - 1/175 x - 1/350 y , COEFF(-2, -2, 0) = - 4/245 x z - 2/175 y z + 2/175 z, + + COEFF(-1, -2, 0) = - 1/175 y z + 2/245 x z + 1/175 z, + + COEFF(0, -2, 0) = 4/245 x z, + + COEFF(1, -2, 0) = 2/245 x z + 1/175 y z - 1/175 z, + + COEFF(2, -2, 0) = - 4/245 x z + 2/175 y z - 2/175 z, + + COEFF(-2, -1, 0) = - 4/245 x z + 2/175 z - 1/175 y z, + + COEFF(-1, -1, 0) = 2/245 x z + 1/175 z - 1/350 y z, + + COEFF(0, -1, 0) = 4/245 x z, + + COEFF(1, -1, 0) = 2/245 x z + 1/350 y z - 1/175 z, + + COEFF(2, -1, 0) = - 2/175 z - 4/245 x z + 1/175 y z, + + COEFF(-2, 0, 0) = 2/175 z - 4/245 x z, + + COEFF(-1, 0, 0) = 2/245 x z + 1/175 z, COEFF(0, 0, 0) = 4/245 x z, + + COEFF(1, 0, 0) = 2/245 x z - 1/175 z, + + COEFF(2, 0, 0) = - 2/175 z - 4/245 x z, + + COEFF(-2, 1, 0) = - 4/245 x z + 2/175 z + 1/175 y z, + + COEFF(-1, 1, 0) = 1/175 z + 1/350 y z + 2/245 x z, + + COEFF(0, 1, 0) = 4/245 x z, + + COEFF(1, 1, 0) = - 1/175 z + 2/245 x z - 1/350 y z, + + COEFF(2, 1, 0) = - 2/175 z - 1/175 y z - 4/245 x z, + + COEFF(-2, 2, 0) = 2/175 z + 2/175 y z - 4/245 x z, + + COEFF(-1, 2, 0) = 1/175 z + 2/245 x z + 1/175 y z, + + COEFF(0, 2, 0) = 4/245 x z, + + COEFF(1, 2, 0) = - 1/175 y z - 1/175 z + 2/245 x z, + + COEFF(2, 2, 0) = - 2/175 y z - 4/245 x z - 2/175 z, COEFF(-2, -2, 1) = + + 2 107 2 + 1/175 x - 1/175 y z - 2/245 x z + 1/250 y - 1/350 y - ---- + 1/50 z + 7000 + + 2 2 + - 1/200 x - 1/175 x y + 1/175 z, COEFF(-1, -2, 1) = 1/245 x z + 1/100 x + + 2 2 229 + - 1/700 y + 1/100 z - 1/350 y z + 1/350 x y - ----- - 1/350 x + 1/500 y + 10500 + + + 1/350 z, COEFF(0, -2, 1) = - 1/175 x + 2/245 x z + 1/175 x y, + + 229 2 2 + COEFF(1, -2, 1) = ----- - 1/100 x + 1/350 y z + 1/700 y - 1/500 y + 10500 + + 2 + - 1/350 x + 1/245 x z + 1/350 x y - 1/350 z - 1/100 z , COEFF(2, -2, 1) = + + 2 2 107 2 + 1/350 y - 2/245 x z + 1/175 x - 1/50 z + 1/175 y z + ---- + 1/200 x + 7000 + + 2 + - 1/175 z - 1/175 x y - 1/250 y, COEFF(-2, -1, 1) = 1/175 z + 1/50 z + + 2 + + 1/175 x + 1/500 y - 2/245 x z - 1/350 y z - 1/200 x - 1/350 x y + + 2 167 2 + + 1/700 y - ----, COEFF(-1, -1, 1) = 1/350 z + 1/100 z + 1/245 x z + 7000 + + 137 2 2 + + 1/1000 y - ---- - 1/350 x - 1/700 y z + 1/1400 y + 1/100 x + 1/700 x y + 5250 + + , COEFF(0, -1, 1) = 1/350 x y - 1/175 x + 2/245 x z, COEFF(1, -1, 1) = + + 2 137 2 + 1/245 x z - 1/100 x + ---- - 1/350 z + 1/700 y z - 1/1400 y - 1/1000 y + 5250 + + 2 + - 1/350 x - 1/100 z + 1/700 x y, COEFF(2, -1, 1) = 1/350 y z - 1/500 y + + 167 2 2 2 + + ---- - 1/350 x y - 1/700 y - 2/245 x z + 1/200 x - 1/50 z - 1/175 z + 7000 + + + 1/175 x, COEFF(-2, 0, 1) = + + 2 187 2 2 + 1/50 z + 1/175 x + 1/175 z - ---- - 2/245 x z - 1/200 x + 1/350 y , + 7000 + + COEFF(-1, 0, 1) = + + 2 289 2 2 + - 1/350 x + 1/700 y - ----- + 1/245 x z + 1/100 x + 1/100 z + 1/350 z, + 10500 + + COEFF(0, 0, 1) = 2/245 x z - 1/175 x, COEFF(1, 0, 1) = + + 2 289 2 2 + - 1/100 z - 1/350 x + ----- - 1/100 x + 1/245 x z - 1/350 z - 1/700 y , + 10500 + + COEFF(2, 0, 1) = + + 2 187 2 2 + - 1/350 y + 1/175 x + ---- + 1/200 x - 1/175 z - 1/50 z - 2/245 x z, + 7000 + + 2 2 2 + COEFF(-2, 1, 1) = 1/700 y + 1/350 y z + 1/175 x + 1/50 z - 1/200 x + + 167 + + 1/175 z - ---- + 1/350 x y - 1/500 y - 2/245 x z, COEFF(-1, 1, 1) = + 7000 + + 2 137 2 + - 1/700 x y + 1/100 x - ---- + 1/350 z + 1/700 y z + 1/245 x z + 1/100 z + 5250 + + 2 + - 1/1000 y + 1/1400 y - 1/350 x, + + 137 + COEFF(0, 1, 1) = - 1/350 x y - 1/175 x + 2/245 x z, COEFF(1, 1, 1) = ---- + 5250 + + 2 2 + - 1/1400 y + 1/245 x z - 1/350 x + 1/1000 y - 1/100 z - 1/700 y z + + 2 167 + - 1/100 x - 1/350 z - 1/700 x y, COEFF(2, 1, 1) = ---- + 1/350 x y + 7000 + + 2 2 + - 1/175 z - 1/700 y - 2/245 x z - 1/350 y z + 1/175 x + 1/200 x + + 2 2 107 + + 1/500 y - 1/50 z , COEFF(-2, 2, 1) = - 1/350 y - 2/245 x z - ---- + 7000 + + 2 2 + - 1/200 x + 1/50 z + 1/175 x + 1/175 z - 1/250 y + 1/175 y z + 1/175 x y + + 2 2 + , COEFF(-1, 2, 1) = - 1/700 y + 1/245 x z + 1/350 z + 1/100 z - 1/500 y + + 2 229 + + 1/100 x + 1/350 y z - ----- - 1/350 x y - 1/350 x, + 10500 + + COEFF(0, 2, 1) = 2/245 x z - 1/175 x y - 1/175 x, COEFF(1, 2, 1) = + + 2 2 + - 1/350 y z - 1/350 z + 1/245 x z - 1/350 x - 1/100 z + 1/500 y - 1/100 x + + 2 229 2 107 + + 1/700 y + ----- - 1/350 x y, COEFF(2, 2, 1) = - 1/50 z + ---- + 10500 7000 + + 2 + - 2/245 x z - 1/175 y z + 1/175 x + 1/200 x + 1/175 x y - 1/175 z + + 2 2 137 2 + + 1/350 y + 1/250 y, COEFF(-2, -2, 2) = - 1/175 y + ---- - 1/100 x + 5250 + + 2 + + 4/245 x z - 2/175 x y - 2/175 z - 1/100 z + 2/175 y z + 2/175 x + + 2 + + 1/125 y, COEFF(-1, -2, 2) = - 1/350 y - 1/175 x + 1/250 y + 1/175 y z + + 2 107 2 + - 2/245 x z - 1/200 z - ---- + 1/175 x y + 1/50 x - 1/175 z, + 7000 + + COEFF(0, -2, 2) = - 2/175 x - 4/245 x z + 2/175 x y, COEFF(1, -2, 2) = + + 2 2 2 107 + 1/200 z + 1/175 z - 1/50 x + 1/350 y - 1/250 y - 2/245 x z + ---- + 7000 + + - 1/175 x + 1/175 x y - 1/175 y z, COEFF(2, -2, 2) = - 2/175 x y + + 2 137 2 + + 1/100 x + 4/245 x z - 2/175 y z + 2/175 z + 2/175 x - ---- + 1/175 y + 5250 + + 2 + + 1/100 z - 1/125 y, COEFF(-2, -1, 2) = 4/245 x z + 2/175 x - 1/175 x y + + 47 2 2 2 + + ---- + 1/250 y - 2/175 z + 1/175 y z - 1/100 z + 1/350 y - 1/100 x , + 5250 + + 167 2 2 + COEFF(-1, -1, 2) = - ---- + 1/350 y z + 1/700 y + 1/500 y - 1/200 z + 7000 + + 2 + - 1/175 x + 1/50 x - 2/245 x z + 1/350 x y - 1/175 z, + + COEFF(0, -1, 2) = - 2/175 x + 1/175 x y - 4/245 x z, COEFF(1, -1, 2) = + + 2 2 + - 2/245 x z - 1/50 x - 1/175 x - 1/500 y - 1/350 y z + 1/175 z - 1/700 y + + 2 167 2 + + 1/200 z + 1/350 x y + ----, COEFF(2, -1, 2) = - 1/350 y + 2/175 x + 7000 + + 47 2 2 + - 1/250 y - ---- + 4/245 x z + 1/100 x + 1/100 z - 1/175 y z - 1/175 x y + 5250 + + + 2/175 z, COEFF(-2, 0, 2) = + + 2 2 17 2 + 4/245 x z - 1/100 z - 1/100 x + ---- - 2/175 z + 1/175 y + 2/175 x, + 5250 + + COEFF(-1, 0, 2) = + + 187 2 2 2 + - 2/245 x z - ---- - 1/175 x + 1/50 x - 1/200 z - 1/175 z + 1/350 y , + 7000 + + COEFF(0, 0, 2) = - 2/175 x - 4/245 x z, COEFF(1, 0, 2) = + + 2 2 2 187 + 1/200 z + 1/175 z - 1/350 y - 1/50 x - 1/175 x + ---- - 2/245 x z, + 7000 + + COEFF(2, 0, 2) = + + 2 2 2 17 + 2/175 x + 2/175 z + 4/245 x z + 1/100 z + 1/100 x - 1/175 y - ----, + 5250 + + 47 2 2 + COEFF(-2, 1, 2) = ---- - 1/100 x - 2/175 z + 1/350 y + 2/175 x + 5250 + + 2 + + 4/245 x z - 1/250 y + 1/175 x y - 1/100 z - 1/175 y z, COEFF(-1, 1, 2) + + 167 2 + = - 1/350 x y - 1/175 z - ---- - 2/245 x z + 1/700 y - 1/350 y z + 7000 + + 2 2 + + 1/50 x - 1/500 y - 1/200 z - 1/175 x, + + COEFF(0, 1, 2) = - 4/245 x z - 2/175 x - 1/175 x y, COEFF(1, 1, 2) = + + 2 2 167 + - 1/50 x + 1/500 y + 1/200 z + ---- + 1/175 z - 1/175 x - 1/350 x y + 7000 + + 2 2 + - 1/700 y + 1/350 y z - 2/245 x z, COEFF(2, 1, 2) = - 1/350 y + + 47 2 2 + + 4/245 x z + 1/250 y + 2/175 x + 1/175 x y - ---- + 1/100 z + 1/100 x + 5250 + + 2 137 + + 1/175 y z + 2/175 z, COEFF(-2, 2, 2) = - 1/100 x + ---- + 2/175 x y + 5250 + + 2 2 + - 2/175 z - 1/175 y + 4/245 x z - 2/175 y z - 1/100 z - 1/125 y + + 2 2 107 + + 2/175 x, COEFF(-1, 2, 2) = 1/50 x - 1/175 z - 1/200 z - ---- + 7000 + + 2 + - 1/350 y - 2/245 x z - 1/175 x - 1/175 x y - 1/175 y z - 1/250 y, + + COEFF(0, 2, 2) = - 2/175 x - 4/245 x z - 2/175 x y, COEFF(1, 2, 2) = + + 2 2 107 + 1/250 y + 1/350 y + 1/200 z - 1/175 x + ---- - 1/175 x y + 1/175 y z + 7000 + + 2 + - 2/245 x z - 1/50 x + 1/175 z, COEFF(2, 2, 2) = 2/175 y z + 1/125 y + + 2 2 137 + + 2/175 z + 2/175 x + 1/100 z + 1/175 y + 4/245 x z - ---- + 2/175 x y + 5250 + + 2 + + 1/100 x ] + +> print_coeffs__lc_of_data(%, "coeffs_dxz->coeff_", "fp", +> "3d.coeffs/3d.cube.order4.smooth0/coeffs-dxz.compute.c"); +bytes used=2173879132, alloc=14677376, time=338.93 +bytes used=2174879340, alloc=14677376, time=339.02 +bytes used=2175879540, alloc=14677376, time=339.10 +bytes used=2176879720, alloc=14677376, time=339.35 +bytes used=2177880300, 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alloc=14677376, time=345.81 +bytes used=2197976004, alloc=14677376, time=345.89 +bytes used=2198976180, alloc=14677376, time=345.96 +bytes used=2199983556, alloc=14677376, time=346.07 +bytes used=2200983856, alloc=14677376, time=346.19 +bytes used=2201985960, alloc=14677376, time=346.30 +bytes used=2202986240, alloc=14677376, time=346.42 +bytes used=2203997972, alloc=14677376, time=346.56 +bytes used=2204998184, alloc=14677376, time=346.68 +bytes used=2206000532, alloc=14677376, time=346.80 +bytes used=2207000724, alloc=14677376, time=346.88 +bytes used=2208000972, alloc=14677376, time=348.25 +bytes used=2209001168, alloc=14677376, time=349.16 +bytes used=2210001340, alloc=14677376, time=349.59 +bytes used=2211001796, alloc=14677376, time=349.68 +bytes used=2212002164, alloc=14677376, time=349.75 +bytes used=2213002352, alloc=14677376, time=349.83 +bytes used=2214002624, alloc=14677376, time=349.90 +bytes used=2215002832, alloc=14677376, time=349.97 +bytes used=2216003172, alloc=14677376, time=350.05 +bytes used=2217003448, alloc=14677376, time=350.15 +bytes used=2218007788, alloc=14677376, time=350.30 +bytes used=2219020240, alloc=14677376, time=350.43 +bytes used=2220020412, alloc=14677376, time=350.56 +bytes used=2221020696, alloc=14677376, time=350.83 +bytes used=2222020848, alloc=14677376, time=352.61 +bytes used=2223021040, alloc=14677376, time=352.98 +bytes used=2224021316, alloc=14677376, time=353.47 +bytes used=2225021608, alloc=14677376, time=353.56 +bytes used=2226021984, alloc=14677376, time=353.64 +bytes used=2227022216, alloc=14677376, time=353.85 +bytes used=2228022436, alloc=14677376, time=355.20 +bytes used=2229022608, alloc=14677376, time=356.24 +bytes used=2230022776, alloc=14677376, time=356.74 +bytes used=2231022952, alloc=14677376, time=356.81 +bytes used=2232023200, alloc=14677376, time=357.04 +bytes used=2233023388, alloc=14677376, time=358.76 +bytes used=2234023552, alloc=14677376, time=359.51 +bytes used=2235024356, alloc=14677376, time=360.01 +bytes used=2236024752, alloc=14677376, time=360.09 +bytes used=2237024916, alloc=14677376, time=360.22 +> +# d^2/dy^2 +> simplify( diff(interp_3d_cube_order4_smooth0,y,y) ); +bytes used=2238025672, alloc=14677376, time=360.32 +bytes used=2239045912, alloc=14677376, time=360.41 +bytes used=2240046176, alloc=14677376, time=360.49 +bytes used=2241046520, alloc=14677376, time=360.57 +bytes used=2242046836, alloc=14677376, time=360.65 +bytes used=2243047088, alloc=14677376, time=360.74 +bytes used=2244047220, alloc=14677376, time=360.82 +bytes used=2245047392, alloc=14677376, time=360.90 +bytes used=2246047676, alloc=14677376, time=360.98 +bytes used=2247048084, alloc=14677376, time=361.06 + 431 169 +----- DATA(0, -2, 0) - ----- DATA(-2, -2, 1) - 1/50 y z DATA(1, -1, -1) +14700 14700 + + 191 311 + + ----- DATA(1, -2, 1) - 1/50 y z DATA(-1, -1, -1) + ----- DATA(0, -2, 1) + 14700 14700 + + 311 311 + + ----- DATA(1, -2, 0) + ----- DATA(0, 2, -1) - 9/98 DATA(2, 0, -1) + 14700 14700 + + 191 + + ----- DATA(-1, -2, 1) + 4/75 DATA(0, -1, 2) + 1/50 y z DATA(1, 1, -1) + 14700 + + + 1/50 y z DATA(-1, 1, -1) - 1/50 y z DATA(-1, 1, 1) + + 211 169 + + ---- DATA(-2, -1, 1) - 1/300 DATA(2, -2, 0) - ----- DATA(2, -2, 1) + 3675 14700 + + - 1/175 x DATA(-1, -2, -1) - 9/98 DATA(-2, 0, 1) + 4/75 DATA(-2, -1, 0) + + - 1/300 DATA(0, 2, 2) + 1/175 x DATA(-2, 1, 1) - 1/350 x DATA(1, 1, 1) + + - 9/98 DATA(1, 0, 2) - 1/175 x DATA(-1, 2, -1) - 1/175 x DATA(2, 1, -1) + + + 2/175 x DATA(2, 2, -1) + 1/175 x DATA(1, 2, -1) + + 57 + + 1/350 x DATA(-1, -1, 2) + 1/175 x DATA(1, 2, 1) - --- DATA(-1, 0, -1) + 490 + + + 2/175 x DATA(2, 2, -2) - 1/175 x DATA(2, -1, 1) - 1/175 x DATA(-1, 2, 1) + + - 2/175 x DATA(-2, -2, -1) - 1/350 x DATA(1, 1, -2) + + + 1/175 x DATA(1, 2, -2) - 2/175 x DATA(-2, 2, -2) + + 211 13 + - 2/175 x DATA(-2, 2, 1) + ---- DATA(2, -1, -1) - -- DATA(0, 0, 0) + 3675 98 + + 61 136 151 + - --- DATA(1, 0, 0) + ---- DATA(0, 1, 0) + ---- DATA(1, 1, 0) + 490 3675 3675 + + 61 57 151 + - --- DATA(0, 0, 1) - --- DATA(1, 0, 1) + ---- DATA(0, 1, 1) + 490 490 3675 + + 166 + + ---- DATA(1, 1, 1) + 1/350 x z DATA(-2, -1, 1) + 3675 + + + 1/350 x z DATA(2, -1, -1) + 1/175 x z DATA(2, -2, 1) + + - 1/175 x z DATA(-2, -2, 1) + 1/350 x z DATA(1, -2, 1) + + - 1/350 x z DATA(-1, -2, 1) - 1/175 x z DATA(2, 2, -1) + + + 1/350 x z DATA(2, 1, -1) + 1/350 x z DATA(-1, 2, -1) + + - 1/700 x z DATA(1, 1, 1) + 1/350 x z DATA(-2, 1, 1) + + - 1/350 x z DATA(-1, 1, -2) + 1/175 x z DATA(2, 1, -2) + + + 1/175 x z DATA(2, 2, 1) + 1/175 x z DATA(-1, 2, -2) + + + 1/350 x z DATA(1, 1, -2) - 1/175 x z DATA(-2, 2, 1) + + + 2/175 x z DATA(-2, 2, -2) + 1/350 x z DATA(-1, -2, -1) + + - 1/175 x z DATA(1, 2, -2) - 1/175 x z DATA(-2, 1, -2) + + - 1/350 x z DATA(1, 2, -1) - 1/350 x z DATA(-1, 2, 1) + + - 2/175 x z DATA(2, 2, -2) + 1/350 x z DATA(1, 2, 1) + + + 1/350 x z DATA(-1, -1, 2) - 1/350 x z DATA(2, 1, 1) + + 169 + - 1/350 x z DATA(2, -1, 1) - ----- DATA(2, 2, -1) - 1/50 x y DATA(1, 1, 2) + 14700 + + + 1/25 x y DATA(2, -1, 2) + 1/175 x z DATA(-2, -2, -1) + + - 1/25 x y DATA(-2, -1, -1) + 1/50 x y DATA(1, -1, 2) + + + 1/50 x y DATA(-1, 1, 2) - 1/50 x y DATA(2, -2, -1) + + - 1/25 x y DATA(2, 1, 2) + 1/25 x y DATA(-2, 1, -1) + + - 1/100 x y DATA(1, -2, -1) + 1/50 x y DATA(-2, -2, 2) + + + 1/50 x y DATA(1, -1, -1) - 1/50 x y DATA(-1, -1, -1) + + + 1/100 x y DATA(1, 2, 2) + 1/50 x y DATA(2, 2, 2) + + - 1/50 x y DATA(-2, 2, -1) - 1/50 x y DATA(2, -2, 2) + + - 1/100 x y DATA(-1, 2, 2) - 1/50 x y DATA(-1, -1, 1) + + + 1/50 x y DATA(1, -1, 1) - 1/50 x y DATA(1, 1, -1) + + + 1/50 x y DATA(-1, 1, -1) + 1/50 x y DATA(-1, 1, 1) + + - 1/50 x y DATA(-2, 2, 2) + 1/50 x y DATA(-2, -2, -2) + + + 1/25 x y DATA(-2, 1, 2) - 1/50 x y DATA(2, -2, -2) + + - 1/25 x y DATA(-2, -1, -2) - 1/25 x y DATA(-2, -1, 2) + + + 1/50 x y DATA(1, -1, -2) + 1/25 x y DATA(2, -1, -2) + + - 1/50 x y DATA(-1, -1, -2) + 1/100 x y DATA(-1, -2, -2) + + 2 + - 1/100 x y DATA(1, -2, -2) + 2/245 x DATA(2, 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DATA(2, -2, -2) + + 256 + - 2/175 x DATA(-2, 2, 2) + ---- DATA(-2, 1, -2) - 1/175 x DATA(2, -1, -2) + 3675 + + 191 + + 1/350 x DATA(-1, -1, 1) + ----- DATA(-1, 2, -1) + 14700 + + 2 2 + + 2/245 x DATA(-2, -2, 1) + 2/245 x DATA(2, -2, 1) + + 2 2 + - 1/245 x DATA(1, -2, 1) + 1/490 x DATA(1, 1, 1) + + 2 2 + - 1/245 x DATA(-1, 2, -1) - 1/245 x DATA(2, 1, -1) + + 2 2 + - 1/245 x DATA(2, -1, -1) - 1/245 x DATA(-1, -2, 1) + + 2 2 + - 1/245 x DATA(-2, -1, 1) - 1/245 x DATA(2, 1, -2) + + 2 2 + + 1/490 x DATA(1, 1, -2) - 1/245 x DATA(-1, 2, -2) + + 2 2 + + 2/245 x DATA(2, 2, 1) + 2/245 x DATA(2, 2, -1) + + 2 2 + - 1/245 x DATA(-2, 1, -2) - 1/245 x DATA(1, 2, -2) + + 2 2 + - 1/245 x DATA(-1, -2, -1) + 2/245 x DATA(-2, 2, -2) + + 2 2 + - 1/245 x DATA(1, 2, -1) + 1/490 x DATA(-1, 1, -2) + + 2 2 + - 1/245 x DATA(-2, 1, 1) + 1/490 x DATA(1, 1, 2) + + 2 2 + + 1/490 x DATA(-1, 1, 2) + 1/490 x DATA(1, -1, 2) + + 2 2 + + 2/245 x DATA(2, -2, -1) - 1/245 x DATA(-2, -1, -1) + + 2 2 + - 1/245 x DATA(2, 1, 1) 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-1, -2) + + 211 + + ---- DATA(2, 1, -1) + 2/175 x DATA(2, -2, 1) - 1/175 x DATA(2, -1, -1) + 3675 + + + 1/175 x DATA(-2, 1, -2) + 1/175 x DATA(-2, -1, 1) + + - 1/175 x DATA(2, 1, -2) + 1/350 x DATA(-1, 1, -2) + + - 1/175 x DATA(-1, -2, 1) + 1/175 x DATA(1, -2, 1) + + - 2/175 x DATA(-2, -2, 1) - 1/175 x DATA(-1, 2, -2) + + + 2/175 x DATA(2, 2, 1) - 1/175 x DATA(2, 1, 1) - 1/50 y DATA(2, -2, 1) + + - 1/50 y DATA(1, -2, 1) - 1/25 y DATA(1, 1, 1) + 1/50 y DATA(-1, 2, -1) + + - 1/50 y DATA(-1, -2, 1) - 1/25 y DATA(2, 1, -2) - 1/25 y DATA(-1, 1, -2) + + + 1/25 y DATA(-2, -1, 1) + 1/25 y DATA(2, -1, -1) - 1/50 y DATA(-2, -2, 1) + + - 1/25 y DATA(-2, 1, 1) - 1/25 y DATA(2, 1, 1) + 1/25 y DATA(-1, -1, 2) + + + 1/50 y DATA(1, 2, 1) + 1/50 y DATA(-2, 2, 1) - 1/25 y DATA(1, 1, -2) + + + 1/50 y DATA(-1, 2, -2) + 1/50 y DATA(1, 2, -2) + 1/50 y DATA(-2, 2, -2) + + - 1/50 y DATA(-1, -2, -1) - 1/25 y DATA(2, 1, -1) + 1/50 y DATA(2, 2, -1) + + + 1/50 y DATA(1, 2, -1) - 1/25 y DATA(-2, 1, -2) - 1/25 y DATA(2, 1, 2) + + + 1/50 y DATA(-1, 2, 2) - 1/25 y DATA(-2, 1, -1) + 1/25 y DATA(1, -1, 2) + + + 1/25 y DATA(-2, -1, -1) - 1/50 y DATA(-2, -2, 2) + + - 1/50 y DATA(2, -2, -1) - 1/50 y DATA(1, -2, 2) - 1/25 y DATA(1, 1, 2) + + - 1/25 y DATA(-1, 1, 2) + 1/25 y DATA(2, -1, 2) + 1/50 y DATA(2, 2, -2) + + + 1/50 y DATA(-1, 2, 1) - 1/50 y DATA(-2, -2, -1) - 1/50 y DATA(-1, -2, 2) + + + 1/25 y DATA(2, -1, 1) + 1/50 y DATA(2, 2, 1) - 1/25 y DATA(-1, 1, -1) + + + 1/25 y DATA(-1, -1, -1) + 1/25 y DATA(1, -1, -1) - 1/25 y DATA(-1, 1, 1) + + - 1/50 y DATA(2, -2, 2) + 1/50 y DATA(-2, 2, -1) + 1/50 y DATA(2, 2, 2) + + + 1/50 y DATA(1, 2, 2) - 1/50 y DATA(1, -2, -1) - 1/25 y DATA(1, 1, -1) + + + 1/25 y DATA(-1, -1, 1) + 1/50 y DATA(-2, 2, 2) - 1/25 y DATA(-2, 1, 2) + + - 1/50 y DATA(-2, -2, -2) + 1/25 y DATA(1, -1, 1) + 1/25 y DATA(-2, -1, 2) + + 211 + - 1/10 DATA(2, 0, 0) + 4/75 DATA(0, 1, -2) + ---- DATA(-2, 1, 1) + 3675 + + 211 + + 4/75 DATA(2, -1, 0) + ---- DATA(-1, 1, -2) + 1/175 x z DATA(2, -1, -2) + 3675 + + - 1/350 x z DATA(-1, -1, -2) + 1/175 x z DATA(-1, -2, -2) + + + 1/175 x z DATA(1, -2, 2) - 1/175 x z DATA(-1, -2, 2) + + - 2/175 x z DATA(-2, -2, 2) - 1/350 x z DATA(-2, -1, -1) + + - 1/175 x z DATA(2, -2, -1) - 1/350 x z DATA(1, -1, 2) + + + 1/350 x z DATA(-1, 1, 2) - 1/700 x z DATA(-1, 1, -1) + + + 1/700 x z DATA(-1, 1, 1) + 1/700 x z DATA(1, -1, -1) + + - 1/700 x z DATA(-1, -1, -1) + 1/175 x z DATA(1, 2, 2) + + + 2/175 x z DATA(2, 2, 2) + 1/175 x z DATA(-2, 2, -1) + + + 2/175 x z DATA(2, -2, 2) - 1/175 x z DATA(-1, 2, 2) + + - 1/175 x z DATA(2, 1, 2) - 1/350 x z DATA(-2, 1, -1) + + - 1/350 x z DATA(1, -2, -1) - 2/175 x z DATA(-2, 2, 2) + + + 1/700 x z DATA(-1, -1, 1) - 1/700 x z DATA(1, -1, 1) + + + 1/700 x z DATA(1, 1, -1) + 2/175 x z DATA(-2, -2, -2) + + - 1/175 x z DATA(1, -2, -2) - 2/175 x z DATA(2, -2, -2) + + + 1/350 x z DATA(1, -1, -2) - 1/175 x z DATA(-2, -1, -2) + + + 1/175 x z DATA(-2, -1, 2) + 1/175 x z DATA(-2, 1, 2) + + 2 2 + + 1/490 z DATA(-1, 1, -1) + 1/490 z DATA(1, 1, -1) + + 2 2 311 + + 1/490 z DATA(1, -1, 1) + 1/490 z DATA(-1, -1, 1) + ----- DATA(1, 2, 0) + 14700 + + 256 2 + + ---- DATA(2, 1, -2) + 2/245 z DATA(-2, -2, -2) + 3675 + + 2 2 + + 2/245 z DATA(-2, 2, 2) - 1/245 z DATA(-2, 1, 2) + + 2 2 + - 1/245 z DATA(-2, -1, 2) - 1/245 z DATA(-2, -1, -2) + + 2 2 + - 1/245 z DATA(1, -1, -2) + 2/245 z DATA(2, -2, -2) + + 2 2 + + 2/245 z DATA(1, -2, -2) + 2/245 z DATA(-1, -2, -2) + + 2 2 + - 1/245 z DATA(-1, -1, -2) - 1/245 z DATA(2, -1, -2) + + + 1/175 z DATA(2, -1, -2) + 1/175 z DATA(-1, -1, -2) + + - 2/175 z DATA(2, -2, -2) - 2/175 z DATA(1, -2, -2) + + 2 2 + - 1/245 z DATA(2, -2, -1) + 1/490 z DATA(-2, -1, -1) + + 2 2 + + 2/245 z DATA(-2, -2, 2) - 1/245 z DATA(1, -1, 2) + + 2 2 + + 2/245 z DATA(1, 2, 2) + 1/490 z DATA(-1, -1, -1) + + 2 2 + + 1/490 z DATA(1, -1, -1) + 1/490 z DATA(-1, 1, 1) + + 2 2 + - 1/245 z DATA(-2, 1, -2) + 1/490 z DATA(1, 1, 1) + + 2 2 + - 1/245 z DATA(-1, 2, -1) + 1/490 z DATA(2, 1, -1) + + 2 2 + + 1/490 z 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2/245 x DATA(2, 0, 0) - 1/25 y z DATA(0, 1, 2) - 2/245 x DATA(0, 2, 1) + + 2 2 + - 2/245 x DATA(0, -2, -1) - 1/245 x DATA(-2, 1, 0) + + 2 2 + - 1/245 x DATA(2, -1, 0) - 1/245 x DATA(1, 2, 0) + + 2 2 + - 2/245 x DATA(0, 2, 0) - 1/245 x DATA(-1, 2, 0) + + 2 2 + - 1/245 x DATA(2, 1, 0) + 1/245 x DATA(0, 1, -2) + + 2 2 + + 2/245 x DATA(2, 2, 0) - 2/245 x DATA(0, 2, -2) + + 2 2 + + 2/245 x DATA(2, -2, 0) + 1/245 x DATA(0, -1, 2) + + 2 2 + - 2/245 x DATA(0, -2, 1) - 1/245 x DATA(1, -2, 0) + + 2 2 + - 2/245 x DATA(0, 2, -1) - 2/245 x DATA(-2, 0, 0) + + 2 + + 1/100 x y DATA(1, 2, -1) - 2/245 x DATA(0, 2, 2) + + 2 2 2 + + 2/245 x DATA(0, 0, 0) + 1/245 x DATA(1, 0, 0) + 1/245 x DATA(0, 1, 0) + + 2 2 + + 1/490 x DATA(1, 1, 0) + 2/245 x DATA(0, 0, 1) - 1/50 y DATA(0, -2, 2) + + 2 + - 1/25 y DATA(0, 1, 2) - 2/245 x DATA(0, -2, 0) - 1/50 y DATA(0, -2, -2) + + - 1/25 y DATA(0, 1, -1) + 1/25 y DATA(0, -1, -2) + 1/25 y DATA(0, -1, 0) + + 2 + + 1/25 y DATA(0, -1, -1) + 1/25 y DATA(0, -1, 1) + 1/245 x DATA(0, 1, 1) + + 2 + - 1/245 x DATA(-2, -1, 0) + 1/100 x y DATA(-1, -2, 1) + + 529 + - ----- DATA(-2, -2, -2) - 1/25 x y DATA(-2, -1, 1) + 14700 + + - 1/25 x y DATA(2, 1, -2) + 1/50 x y DATA(-1, 1, -2) + + 529 + - ----- DATA(-2, 2, 2) + 1/25 x y DATA(-2, 1, 1) - 1/50 x y DATA(1, 1, 1) + 14700 + + 169 + - 1/100 x y DATA(-1, 2, -1) - ----- DATA(1, -2, -2) + 14700 + + 169 256 + - 1/300 DATA(0, -2, -2) - ----- DATA(-1, -2, -2) + ---- DATA(-2, -1, -2) + 14700 3675 + + - 1/50 x y DATA(2, -2, 1) + 1/25 x y DATA(2, -1, -1) + + 529 211 + - ----- DATA(2, -2, -2) + ---- DATA(1, -1, -2) + 4/75 DATA(0, -1, -2) + 14700 3675 + + 211 + + ---- DATA(-1, -1, -2) + 1/50 x y DATA(-2, -2, 1) + 3675 + + 33 256 + - 1/100 x y DATA(1, -2, 1) - --- DATA(-2, 0, -2) + ---- DATA(2, -1, -2) + 490 3675 + + - 1/10 DATA(0, 0, -2) - 9/98 DATA(-1, 0, -2) - 9/98 DATA(1, 0, -2) + +> coeffs_as_lc_of_data(%, posn_list_3d_size5); +bytes used=2248100268, alloc=14677376, time=361.15 +bytes used=2249100616, alloc=14677376, 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+bytes used=2269598032, alloc=14677376, time=363.09 +bytes used=2270598244, alloc=14677376, time=363.19 +bytes used=2271598372, alloc=14677376, time=363.30 +bytes used=2272602892, alloc=14677376, time=363.42 +bytes used=2273606100, alloc=14677376, time=363.53 +bytes used=2274628016, alloc=14677376, time=363.61 +bytes used=2275646028, alloc=14677376, time=363.69 +bytes used=2276664160, alloc=14677376, time=363.76 + 529 2 +[COEFF(-2, -2, -2) = 1/50 y z - ----- + 2/175 x z + 2/245 x - 2/175 x + 14700 + + 2 2 + + 2/245 z - 2/175 z + 1/50 x y - 1/50 y + 1/50 y , COEFF(-1, -2, -2) = + + 2 169 2 + 1/175 x z + 1/50 y z - 1/245 x + 1/100 x y - 1/175 x - ----- + 1/50 y + 14700 + + 2 + - 1/50 y - 2/175 z + 2/245 z , COEFF(0, -2, -2) = + + 2 2 2 + 1/50 y - 2/175 z - 2/245 x + 1/50 y z + 2/245 z - 1/300 - 1/50 y, + + 169 + COEFF(1, -2, -2) = - 1/100 x y + 1/175 x - 1/175 x z - 2/175 z - ----- + 14700 + + 2 2 2 + + 1/50 y z + 2/245 z - 1/245 x - 1/50 y + 1/50 y , COEFF(2, -2, -2) = + + 529 2 2 2 + - ----- + 2/245 x + 2/245 z - 2/175 x z - 1/50 y + 1/50 y + 1/50 y z + 14700 + + 2 + - 1/50 x y - 2/175 z + 2/175 x, COEFF(-2, -1, -2) = - 1/245 z - 1/25 y z + + 256 2 + + 1/25 y + 1/175 z + ---- + 1/175 x - 1/245 x - 1/25 x y - 1/175 x z + 3675 + + 2 2 + - 2/25 y , COEFF(-1, -1, -2) = 1/350 x + 1/175 z - 1/350 x z - 2/25 y + + 211 2 2 + + ---- - 1/245 z + 1/25 y - 1/25 y z + 1/490 x - 1/50 x y, + 3675 + + COEFF(0, -1, -2) = + + 2 2 2 + 1/175 z + 4/75 + 1/25 y + 1/245 x - 1/245 z - 1/25 y z - 2/25 y , + + 2 211 + COEFF(1, -1, -2) = 1/490 x + 1/50 x y + 1/175 z + 1/25 y - 1/25 y z + ---- + 3675 + + 2 2 + - 2/25 y - 1/350 x + 1/350 x z - 1/245 z , COEFF(2, -1, -2) = 1/175 x z + + 256 2 2 2 + + ---- - 1/245 x - 2/25 y - 1/245 z - 1/25 y z - 1/175 x + 1/25 x y + 3675 + + + 1/25 y + 1/175 z, COEFF(-2, 0, -2) = + + 2 2 33 2 + - 2/245 x + 2/175 z + 3/25 y - --- - 2/245 z - 2/175 x z + 2/175 x, + 490 + + COEFF(-1, 0, -2) = + + 2 2 2 + 1/175 x - 2/245 z + 2/175 z - 1/175 x z + 3/25 y + 1/245 x - 9/98, + + 2 2 2 + COEFF(0, 0, -2) = - 1/10 + 2/175 z - 2/245 z + 2/245 x + 3/25 y , + + COEFF(1, 0, -2) = + + 2 2 2 + - 1/175 x - 2/245 z + 1/175 x z - 9/98 + 3/25 y + 2/175 z + 1/245 x , + + COEFF(2, 0, -2) = + + 33 2 2 2 + - 2/175 x - --- - 2/245 z + 2/175 x z + 2/175 z + 3/25 y - 2/245 x , + 490 + + 2 2 + COEFF(-2, 1, -2) = 1/175 z - 1/245 z - 2/25 y - 1/25 y + 1/25 y z + + 2 256 + - 1/175 x z - 1/245 x + 1/175 x + ---- + 1/25 x y, COEFF(-1, 1, -2) = + 3675 + + 2 2 + 1/490 x - 1/350 x z + 1/50 x y + 1/350 x - 2/25 y + 1/25 y z - 1/25 y + + 2 211 + - 1/245 z + 1/175 z + ----, COEFF(0, 1, -2) = + 3675 + + 2 2 2 + - 1/25 y - 2/25 y + 1/175 z + 1/25 y z + 1/245 x - 1/245 z + 4/75, + + 2 211 + COEFF(1, 1, -2) = 1/490 x + ---- - 1/350 x - 1/50 x y - 1/25 y + 1/350 x z + 3675 + + 2 2 + + 1/25 y z - 2/25 y - 1/245 z + 1/175 z, COEFF(2, 1, -2) = - 1/25 y + + 2 2 256 2 + - 1/245 x - 1/245 z + ---- + 1/175 z + 1/175 x z - 1/175 x - 2/25 y + 3675 + + 2 + + 1/25 y z - 1/25 x y, COEFF(-2, 2, -2) = 2/245 x - 2/175 x - 1/50 y z + + 2 529 2 + + 1/50 y - ----- - 1/50 x y - 2/175 z + 1/50 y + 2/245 z + 2/175 x z, + 14700 + + 2 2 2 + COEFF(-1, 2, -2) = - 1/100 x y - 1/50 y z + 1/50 y - 1/245 x + 2/245 z + + 169 + + 1/50 y - 1/175 x + 1/175 x z - ----- - 2/175 z, COEFF(0, 2, -2) = + 14700 + + 2 2 2 + - 2/175 z - 2/245 x - 1/300 + 1/50 y + 2/245 z + 1/50 y - 1/50 y z, + + 2 169 + COEFF(1, 2, -2) = 2/245 z - 1/175 x z - ----- + 1/175 x - 2/175 z + 14700 + + 2 2 + - 1/50 y z + 1/100 x y - 1/245 x + 1/50 y + 1/50 y , COEFF(2, 2, -2) = + + 2 2 + - 2/175 z - 1/50 y z - 2/175 x z + 2/175 x + 2/245 x + 1/50 x y + 1/50 y + + 2 529 + + 1/50 y + 2/245 z - -----, COEFF(-2, -2, -1) = 1/100 y z - 1/50 y + 14700 + + 2 2 169 + + 1/50 x y + 1/50 y - 1/245 z + 1/175 x z - 2/175 x - 1/175 z - ----- + 14700 + + 2 2 2 + + 2/245 x , COEFF(-1, -2, -1) = - 1/245 x - 1/245 z + 1/100 y z + + 2 191 + + 1/50 y - 1/175 x + 1/350 x z - 1/175 z + 1/100 x y + ----- - 1/50 y, + 14700 + + COEFF(0, -2, -1) = + + 2 2 311 2 + - 1/175 z - 1/245 z - 2/245 x + ----- - 1/50 y + 1/50 y + 1/100 y z, + 14700 + + 2 + COEFF(1, -2, -1) = - 1/245 x - 1/175 z - 1/100 x y - 1/50 y + 1/100 y z + + 2 2 191 + + 1/50 y - 1/350 x z - 1/245 z + ----- + 1/175 x, COEFF(2, -2, -1) = + 14700 + + 2 169 2 + - 1/50 y - 1/175 z - 1/175 x z + 2/245 x + 2/175 x - ----- - 1/245 z + 14700 + + 2 + + 1/100 y z - 1/50 x y + 1/50 y , COEFF(-2, -1, -1) = - 1/50 y z + + 2 2 211 2 + - 1/245 x + 1/490 z + ---- + 1/350 z - 2/25 y - 1/350 x z + 1/175 x + 3675 + + 2 + + 1/25 y - 1/25 x y, COEFF(-1, -1, -1) = - 1/50 y z + 1/350 x + 1/490 z + + 2 166 2 + + 1/350 z + 1/25 y - 1/700 x z - 2/25 y + ---- - 1/50 x y + 1/490 x , + 3675 + + COEFF(0, -1, -1) = + + 2 2 2 151 + - 1/50 y z + 1/245 x + 1/25 y + 1/490 z - 2/25 y + 1/350 z + ----, + 3675 + + 2 2 + COEFF(1, -1, -1) = - 1/50 y z + 1/490 x + 1/700 x z + 1/350 z - 2/25 y + + 166 2 + + 1/50 x y + 1/25 y + ---- + 1/490 z - 1/350 x, COEFF(2, -1, -1) = + 3675 + + 2 2 211 + - 2/25 y + 1/490 z + 1/25 y + 1/350 x z - 1/175 x + 1/350 z + ---- + 3675 + + 2 + + 1/25 x y - 1/245 x - 1/50 y z, COEFF(-2, 0, -1) = + + 2 2 2 + 3/25 y - 9/98 + 1/245 z - 1/175 x z - 2/245 x + 2/175 x + 1/175 z, + + COEFF(-1, 0, -1) = + + 2 2 57 2 + 1/175 z + 3/25 y + 1/245 z + 1/175 x - --- + 1/245 x - 1/350 x z, + 490 + + 61 2 2 2 + COEFF(0, 0, -1) = - --- + 2/245 x + 1/175 z + 3/25 y + 1/245 z , + 490 + + COEFF(1, 0, -1) = + + 2 57 2 2 + 1/175 z + 1/245 x - --- + 3/25 y - 1/175 x + 1/350 x z + 1/245 z , + 490 + + COEFF(2, 0, -1) = + + 2 2 2 + - 2/175 x - 2/245 x + 1/245 z + 1/175 z + 1/175 x z + 3/25 y - 9/98, + + 2 2 211 + COEFF(-2, 1, -1) = 1/490 z - 2/25 y + ---- + 1/50 y z - 1/350 x z + 3675 + + 2 + + 1/175 x + 1/25 x y - 1/25 y - 1/245 x + 1/350 z, COEFF(-1, 1, -1) = + + 2 166 + 1/490 z + ---- + 1/50 x y + 1/350 z + 1/350 x - 1/25 y - 1/700 x z + 3675 + + 2 2 + - 2/25 y + 1/50 y z + 1/490 x , COEFF(0, 1, -1) = + + 2 151 2 2 + - 1/25 y - 2/25 y + 1/50 y z + ---- + 1/350 z + 1/490 z + 1/245 x , + 3675 + + 2 2 2 + COEFF(1, 1, -1) = 1/490 z + 1/700 x z + 1/50 y z - 2/25 y + 1/490 x + + 166 + - 1/25 y + 1/350 z - 1/350 x + ---- - 1/50 x y, COEFF(2, 1, -1) = 1/350 z + 3675 + + 2 2 + + 1/50 y z - 1/25 x y - 1/25 y + 1/490 z - 1/175 x + 1/350 x z - 2/25 y + + 2 211 + - 1/245 x + ----, COEFF(-2, 2, -1) = - 2/175 x - 1/100 y z - 1/50 x y + 3675 + + 169 2 2 2 + + 1/175 x z - ----- - 1/175 z + 1/50 y + 1/50 y - 1/245 z + 2/245 x , + 14700 + + 191 2 + COEFF(-1, 2, -1) = ----- - 1/175 x - 1/175 z - 1/100 y z - 1/245 z + 14700 + + 2 2 + - 1/245 x + 1/50 y + 1/50 y + 1/350 x z - 1/100 x y, COEFF(0, 2, -1) = + + 2 2 2 311 + 1/50 y - 1/245 z - 1/100 y z - 2/245 x + 1/50 y - 1/175 z + -----, + 14700 + + 191 2 + COEFF(1, 2, -1) = 1/175 x + 1/100 x y + ----- - 1/350 x z + 1/50 y + 14700 + + 2 2 + - 1/245 x - 1/245 z - 1/175 z + 1/50 y - 1/100 y z, COEFF(2, 2, -1) = + + 2 2 2 + 2/245 x + 1/50 x y - 1/245 z + 1/50 y - 1/100 y z + 1/50 y - 1/175 x z + + 169 + + 2/175 x - ----- - 1/175 z, COEFF(-2, -2, 0) = + 14700 + + 2 2 2 + 1/50 y - 1/50 y - 2/175 x + 1/50 x y + 2/245 x - 1/300 - 2/245 z , + + COEFF(-1, -2, 0) = + + 2 311 2 2 + - 1/50 y - 1/245 x + ----- + 1/50 y - 1/175 x + 1/100 x y - 2/245 z , + 14700 + + 2 2 431 2 + COEFF(0, -2, 0) = - 2/245 z - 2/245 x + ----- - 1/50 y + 1/50 y , + 14700 + + COEFF(1, -2, 0) = + + 2 311 2 2 + - 1/245 x + ----- - 2/245 z - 1/100 x y - 1/50 y + 1/175 x + 1/50 y , + 14700 + + COEFF(2, -2, 0) = + + 2 2 2 + 1/50 y + 2/175 x - 1/50 x y - 1/50 y + 2/245 x - 2/245 z - 1/300, + + COEFF(-2, -1, 0) = + + 2 2 2 + - 1/25 x y + 1/245 z + 1/175 x - 2/25 y + 1/25 y - 1/245 x + 4/75, + + COEFF(-1, -1, 0) = + + 2 151 2 2 + 1/245 z + 1/25 y + ---- + 1/490 x + 1/350 x - 2/25 y - 1/50 x y, + 3675 + + 2 2 136 2 + COEFF(0, -1, 0) = 1/25 y + 1/245 x - 2/25 y + ---- + 1/245 z , + 3675 + + COEFF(1, -1, 0) = + + 2 2 151 2 + - 1/350 x + 1/245 z - 2/25 y + 1/50 x y + 1/25 y + ---- + 1/490 x , + 3675 + + COEFF(2, -1, 0) = + + 2 2 2 + 4/75 + 1/25 y + 1/25 x y + 1/245 z - 1/175 x - 2/25 y - 1/245 x , + + 2 2 2 + COEFF(-2, 0, 0) = 2/245 z + 3/25 y + 2/175 x - 1/10 - 2/245 x , + + 2 61 2 2 + COEFF(-1, 0, 0) = 1/245 x - --- + 1/175 x + 3/25 y + 2/245 z , + 490 + + 2 2 2 13 + COEFF(0, 0, 0) = 3/25 y + 2/245 z + 2/245 x - --, + 98 + + 2 61 2 2 + COEFF(1, 0, 0) = 1/245 x - --- - 1/175 x + 2/245 z + 3/25 y , + 490 + + 2 2 2 + COEFF(2, 0, 0) = - 1/10 + 3/25 y - 2/175 x + 2/245 z - 2/245 x , + + COEFF(-2, 1, 0) = + + 2 2 2 + 1/245 z + 1/175 x + 1/25 x y - 2/25 y - 1/25 y - 1/245 x + 4/75, + + COEFF(-1, 1, 0) = + + 2 2 2 151 + 1/350 x + 1/245 z - 1/25 y + 1/50 x y - 2/25 y + 1/490 x + ----, + 3675 + + 136 2 2 2 + COEFF(0, 1, 0) = ---- - 1/25 y + 1/245 x - 2/25 y + 1/245 z , + 3675 + + COEFF(1, 1, 0) = + + 2 151 2 2 + - 2/25 y - 1/25 y + ---- + 1/245 z - 1/50 x y - 1/350 x + 1/490 x , + 3675 + + COEFF(2, 1, 0) = + + 2 2 2 + 4/75 - 1/175 x + 1/245 z - 1/25 y - 2/25 y - 1/25 x y - 1/245 x , + + COEFF(-2, 2, 0) = + + 2 2 2 + - 1/300 - 1/50 x y - 2/175 x + 2/245 x + 1/50 y + 1/50 y - 2/245 z , + + COEFF(-1, 2, 0) = + + 311 2 2 2 + ----- - 1/100 x y + 1/50 y + 1/50 y - 1/175 x - 1/245 x - 2/245 z , + 14700 + + 2 431 2 2 + COEFF(0, 2, 0) = 1/50 y - 2/245 x + ----- + 1/50 y - 2/245 z , + 14700 + + COEFF(1, 2, 0) = + + 2 311 2 2 + - 2/245 z + 1/175 x + ----- + 1/100 x y + 1/50 y - 1/245 x + 1/50 y , + 14700 + + COEFF(2, 2, 0) = + + 2 2 2 + 1/50 y + 1/50 y - 2/245 z + 2/175 x + 2/245 x + 1/50 x y - 1/300, + + 169 2 2 + COEFF(-2, -2, 1) = - ----- - 1/50 y - 1/245 z - 1/100 y z + 1/50 y + 14700 + + 2 + - 1/175 x z - 2/175 x + 2/245 x + 1/50 x y + 1/175 z, COEFF(-1, -2, 1) = + + 2 2 2 + - 1/350 x z - 1/245 x - 1/245 z + 1/50 y - 1/175 x - 1/50 y - 1/100 y z + + 191 + + 1/175 z + 1/100 x y + -----, COEFF(0, -2, 1) = + 14700 + + 2 311 2 2 + 1/50 y + ----- + 1/175 z - 1/245 z - 1/100 y z - 2/245 x - 1/50 y, + 14700 + + 2 2 2 191 + COEFF(1, -2, 1) = 1/50 y + 1/175 z - 1/245 z - 1/245 x + 1/175 x + ----- + 14700 + + - 1/50 y + 1/350 x z - 1/100 y z - 1/100 x y, COEFF(2, -2, 1) = 1/175 z + + 2 2 + - 1/50 y - 1/100 y z + 1/50 y + 2/175 x - 1/245 z - 1/50 x y + 1/175 x z + + 169 2 211 + - ----- + 2/245 x , COEFF(-2, -1, 1) = ---- + 1/350 x z + 1/50 y z + 14700 3675 + + 2 2 2 + - 1/350 z - 1/245 x + 1/490 z - 1/25 x y - 2/25 y + 1/175 x + 1/25 y, + + 2 2 + COEFF(-1, -1, 1) = 1/25 y - 2/25 y + 1/350 x - 1/350 z + 1/490 x + + 166 2 + + 1/700 x z + ---- + 1/490 z - 1/50 x y + 1/50 y z, COEFF(0, -1, 1) = + 3675 + + 2 2 2 151 + 1/50 y z + 1/490 z + 1/245 x - 1/350 z - 2/25 y + 1/25 y + ----, + 3675 + + 2 2 + COEFF(1, -1, 1) = - 1/700 x z - 1/350 z - 2/25 y + 1/490 x + 1/50 y z + + 2 166 + + 1/490 z + 1/50 x y + ---- + 1/25 y - 1/350 x, COEFF(2, -1, 1) = + 3675 + + 2 2 2 + 1/25 x y - 1/245 x + 1/490 z - 1/350 x z - 2/25 y - 1/350 z + 1/25 y + + 211 + - 1/175 x + 1/50 y z + ----, COEFF(-2, 0, 1) = + 3675 + + 2 2 2 + - 1/175 z - 9/98 + 1/175 x z - 2/245 x + 1/245 z + 2/175 x + 3/25 y , + + COEFF(-1, 0, 1) = + + 2 2 2 57 + - 1/175 z + 1/245 x + 1/175 x + 3/25 y + 1/245 z - --- + 1/350 x z, + 490 + + 2 2 2 61 + COEFF(0, 0, 1) = 1/245 z + 2/245 x + 3/25 y - 1/175 z - ---, + 490 + + COEFF(1, 0, 1) = + + 57 2 2 2 + - --- - 1/350 x z + 1/245 z + 3/25 y - 1/175 z + 1/245 x - 1/175 x, + 490 + + COEFF(2, 0, 1) = + + 2 2 2 + - 1/175 x z + 3/25 y - 2/175 x - 9/98 - 2/245 x + 1/245 z - 1/175 z, + + 211 + COEFF(-2, 1, 1) = 1/350 x z - 1/25 y + ---- - 1/50 y z + 1/175 x + 1/25 x y + 3675 + + 2 2 2 + - 1/350 z - 2/25 y + 1/490 z - 1/245 x , COEFF(-1, 1, 1) = 1/700 x z + + 166 2 2 + + ---- + 1/490 x + 1/50 x y - 1/350 z + 1/350 x - 1/25 y + 1/490 z + 3675 + + 2 + - 1/50 y z - 2/25 y , COEFF(0, 1, 1) = + + 2 2 2 151 + - 1/350 z + 1/490 z - 1/25 y - 1/50 y z + 1/245 x - 2/25 y + ----, + 3675 + + 2 166 2 + COEFF(1, 1, 1) = - 2/25 y + ---- - 1/350 x - 1/350 z + 1/490 x - 1/50 y z + 3675 + + 2 + - 1/700 x z + 1/490 z - 1/25 y - 1/50 x y, COEFF(2, 1, 1) = - 1/25 x y + + 2 2 2 + - 1/245 x + 1/490 z - 1/350 z - 2/25 y - 1/25 y - 1/175 x - 1/350 x z + + 211 2 + - 1/50 y z + ----, COEFF(-2, 2, 1) = - 2/175 x - 1/50 x y + 2/245 x + 3675 + + 169 2 2 + - ----- + 1/175 z + 1/50 y + 1/50 y - 1/175 x z - 1/245 z + 1/100 y z, + 14700 + + 191 2 + COEFF(-1, 2, 1) = ----- + 1/175 z - 1/245 z - 1/100 x y + 1/100 y z + 14700 + + 2 2 + + 1/50 y - 1/175 x - 1/245 x - 1/350 x z + 1/50 y, COEFF(0, 2, 1) = + + 2 311 2 2 + 1/175 z - 2/245 x + ----- + 1/100 y z + 1/50 y + 1/50 y - 1/245 z , + 14700 + + 2 191 + COEFF(1, 2, 1) = - 1/245 z + 1/350 x z + 1/50 y + ----- + 1/175 x + 14700 + + 2 2 + + 1/100 x y - 1/245 x + 1/175 z + 1/50 y + 1/100 y z, COEFF(2, 2, 1) = + + 169 2 2 + 1/50 y - ----- + 2/245 x + 1/175 z + 1/100 y z - 1/245 z + 2/175 x + 14700 + + 2 2 + + 1/50 y + 1/175 x z + 1/50 x y, COEFF(-2, -2, 2) = 1/50 y + 2/175 z + + 2 529 2 + - 2/175 x z + 2/245 x - 2/175 x - 1/50 y - ----- - 1/50 y z + 2/245 z + 14700 + + 169 2 + + 1/50 x y, COEFF(-1, -2, 2) = - ----- - 1/175 x - 1/50 y + 2/245 z + 14700 + + 2 2 + - 1/50 y z + 1/50 y - 1/245 x + 2/175 z - 1/175 x z + 1/100 x y, + + COEFF(0, -2, 2) = + + 2 2 2 + 1/50 y - 1/50 y z - 1/50 y - 1/300 + 2/245 z + 2/175 z - 2/245 x , + + 2 + COEFF(1, -2, 2) = 1/175 x + 2/245 z - 1/100 x y - 1/50 y z + 1/175 x z + + 2 169 2 + + 1/50 y - 1/50 y - ----- + 2/175 z - 1/245 x , COEFF(2, -2, 2) = + 14700 + + 2 2 + - 1/50 x y + 2/175 x z - 1/50 y z + 2/175 x + 2/245 x + 2/175 z + 1/50 y + + 529 2 2 + - 1/50 y - ----- + 2/245 z , COEFF(-2, -1, 2) = - 2/25 y - 1/175 z + 14700 + + 2 2 256 + + 1/175 x + 1/25 y z + 1/175 x z - 1/245 z - 1/25 x y - 1/245 x + ---- + 3675 + + 2 2 211 + + 1/25 y, COEFF(-1, -1, 2) = 1/25 y - 1/245 z + 1/490 x + ---- + 1/350 x + 3675 + + 2 + + 1/25 y z - 1/50 x y - 1/175 z - 2/25 y + 1/350 x z, COEFF(0, -1, 2) = + + 2 2 2 + - 1/175 z + 4/75 - 1/245 z + 1/25 y + 1/245 x + 1/25 y z - 2/25 y , + + 2 211 2 + COEFF(1, -1, 2) = 1/490 x + ---- - 1/350 x - 1/175 z - 2/25 y + 1/25 y + 3675 + + 2 + - 1/245 z + 1/50 x y + 1/25 y z - 1/350 x z, COEFF(2, -1, 2) = - 1/175 x + + 2 2 + + 1/25 y - 1/175 z + 1/25 x y - 2/25 y - 1/245 z + 1/25 y z - 1/175 x z + + 2 256 + - 1/245 x + ----, COEFF(-2, 0, 2) = + 3675 + + 33 2 2 2 + - --- + 2/175 x z - 2/245 z - 2/175 z - 2/245 x + 3/25 y + 2/175 x, + 490 + + COEFF(-1, 0, 2) = + + 2 2 2 + 1/245 x - 9/98 + 1/175 x - 2/175 z + 3/25 y + 1/175 x z - 2/245 z , + + 2 2 2 + COEFF(0, 0, 2) = - 1/10 - 2/245 z + 2/245 x - 2/175 z + 3/25 y , + + COEFF(1, 0, 2) = + + 2 2 2 + - 1/175 x + 3/25 y - 2/245 z + 1/245 x - 2/175 z - 9/98 - 1/175 x z, + + COEFF(2, 0, 2) = + + 33 2 2 2 + - 2/175 x - --- - 2/245 x - 2/175 z - 2/175 x z + 3/25 y - 2/245 z , + 490 + + 2 2 2 + COEFF(-2, 1, 2) = 1/175 x - 1/175 z - 1/245 z - 2/25 y - 1/245 x + + 256 + + 1/175 x z - 1/25 y z + ---- - 1/25 y + 1/25 x y, COEFF(-1, 1, 2) = + 3675 + + 2 2 + - 1/25 y z - 1/25 y + 1/490 x + 1/350 x + 1/350 x z - 2/25 y + 1/50 x y + + 2 211 + - 1/245 z + ---- - 1/175 z, COEFF(0, 1, 2) = + 3675 + + 2 2 2 + 4/75 - 1/175 z - 2/25 y - 1/245 z - 1/25 y + 1/245 x - 1/25 y z, + + 2 2 + COEFF(1, 1, 2) = - 1/25 y - 2/25 y - 1/350 x z - 1/175 z - 1/245 z + + 211 2 + - 1/25 y z + ---- + 1/490 x - 1/350 x - 1/50 x y, COEFF(2, 1, 2) = + 3675 + + 2 2 2 + - 1/175 x z - 1/245 x - 2/25 y - 1/175 x - 1/25 x y - 1/25 y - 1/245 z + + 256 2 2 + - 1/25 y z + ---- - 1/175 z, COEFF(-2, 2, 2) = 2/245 x + 1/50 y + 3675 + + 2 529 + + 2/245 z - 2/175 x z - 2/175 x + 2/175 z - ----- + 1/50 y z + 1/50 y + 14700 + + 2 169 + - 1/50 x y, COEFF(-1, 2, 2) = - 1/175 x - 1/245 x + 2/175 z - ----- + 14700 + + 2 2 + + 1/50 y + 1/50 y - 1/100 x y + 2/245 z + 1/50 y z - 1/175 x z, + + COEFF(0, 2, 2) = + + 2 2 2 + - 1/300 + 2/175 z + 1/50 y z + 2/245 z - 2/245 x + 1/50 y + 1/50 y, + + 169 2 + COEFF(1, 2, 2) = - ----- + 1/175 x + 2/245 z + 1/175 x z + 2/175 z + 14700 + + 2 2 + + 1/50 y + 1/100 x y + 1/50 y z + 1/50 y - 1/245 x , COEFF(2, 2, 2) = + + 529 2 + 1/50 x y - ----- + 1/50 y z + 2/175 z + 2/245 x + 2/175 x z + 2/175 x + 14700 + + 2 2 + + 1/50 y + 1/50 y + 2/245 z ] + +> print_coeffs__lc_of_data(%, "coeffs_dyy->coeff_", "fp", +> "3d.coeffs/3d.cube.order4.smooth0/coeffs-dyy.compute.c"); +bytes used=2277664824, alloc=14677376, time=363.84 +bytes used=2278665472, alloc=14677376, time=363.91 +bytes used=2279665724, alloc=14677376, time=364.00 +bytes used=2280665892, alloc=14677376, time=364.09 +bytes used=2281666500, alloc=14677376, time=364.73 +bytes used=2282667048, alloc=14677376, time=365.37 +bytes used=2283667452, alloc=14677376, time=366.02 +bytes used=2284667680, alloc=14677376, time=366.67 +bytes used=2285667988, alloc=14677376, time=367.31 +bytes used=2286668148, alloc=14677376, time=367.71 +bytes used=2287668324, alloc=14677376, time=367.80 +bytes used=2288668636, alloc=14677376, time=367.88 +bytes used=2289718228, alloc=14677376, time=367.97 +bytes used=2290736504, alloc=14677376, time=368.05 +bytes used=2291743216, alloc=14677376, time=368.13 +bytes used=2292743412, alloc=14677376, time=368.23 +bytes used=2293743628, alloc=14677376, time=368.64 +bytes used=2294743868, alloc=14677376, time=369.93 +bytes used=2295744024, alloc=14677376, time=370.31 +bytes used=2296744280, alloc=14677376, time=370.48 +bytes used=2297744452, alloc=14677376, time=370.55 +bytes used=2298744792, alloc=14677376, time=370.61 +bytes used=2299744976, alloc=14677376, time=370.68 +bytes used=2300745236, alloc=14677376, time=370.75 +bytes used=2301745392, alloc=14677376, time=370.82 +bytes used=2302745968, alloc=14677376, time=370.89 +bytes used=2303746284, alloc=14677376, time=370.96 +bytes used=2304746684, alloc=14677376, time=371.03 +bytes used=2305746880, alloc=14677376, time=371.11 +bytes used=2306747144, alloc=14677376, time=371.18 +bytes used=2307757728, alloc=14677376, time=371.29 +bytes used=2308758812, alloc=14677376, time=371.40 +bytes used=2309764812, alloc=14677376, time=371.49 +bytes used=2310765036, alloc=14677376, time=371.60 +bytes used=2311767532, alloc=14677376, time=371.71 +bytes used=2312767724, alloc=14677376, time=371.82 +bytes used=2313767884, alloc=14677376, time=371.93 +bytes used=2314768488, alloc=14677376, time=372.04 +bytes used=2315768704, alloc=14677376, time=372.17 +bytes used=2316768904, alloc=14677376, time=372.29 +bytes used=2317769812, alloc=14677376, time=372.41 +bytes used=2318771472, alloc=14677376, time=372.52 +bytes used=2319771632, alloc=14677376, time=372.61 +bytes used=2320771824, alloc=14677376, time=374.40 +bytes used=2321772048, alloc=14677376, time=375.20 +bytes used=2322772228, alloc=14677376, time=375.66 +bytes used=2323772400, alloc=14677376, time=375.75 +bytes used=2324772688, alloc=14677376, time=375.82 +bytes used=2325773124, alloc=14677376, time=375.89 +bytes used=2326773380, alloc=14677376, time=375.97 +bytes used=2327773564, alloc=14677376, time=376.04 +bytes used=2328773824, alloc=14677376, time=376.11 +bytes used=2329774216, alloc=14677376, time=376.18 +bytes used=2330774368, alloc=14677376, time=376.25 +bytes used=2331774836, alloc=14677376, time=376.32 +bytes used=2332775132, alloc=14677376, time=376.39 +bytes used=2333775344, alloc=14677376, time=376.49 +bytes used=2334789156, alloc=14677376, time=376.66 +bytes used=2335803696, alloc=14677376, time=376.80 +bytes used=2336803852, alloc=14677376, time=376.92 +bytes used=2337804444, alloc=14677376, time=377.02 +bytes used=2338804636, alloc=14677376, time=378.91 +bytes used=2339804824, alloc=14677376, time=380.01 +bytes used=2340804984, alloc=14677376, time=380.56 +bytes used=2341805160, alloc=14677376, time=380.65 +bytes used=2342805368, alloc=14677376, time=380.73 +bytes used=2343805564, alloc=14677376, time=380.80 +bytes used=2344805980, alloc=14677376, time=380.87 +bytes used=2345806280, alloc=14677376, time=380.95 +bytes used=2346806712, alloc=14677376, time=381.02 +bytes used=2347807072, alloc=14677376, time=381.16 +bytes used=2348807320, alloc=14677376, time=381.61 +bytes used=2349807620, alloc=14677376, time=383.63 +bytes used=2350807796, alloc=14677376, time=384.39 +bytes used=2351808056, alloc=14677376, time=384.86 +bytes used=2352808220, alloc=14677376, time=384.93 +bytes used=2353808396, alloc=14677376, time=385.05 +> +# d^2/dydz +> simplify( diff(interp_3d_cube_order4_smooth0,y,z) ); +bytes used=2354808856, alloc=14677376, time=385.17 +bytes used=2355839772, alloc=14677376, time=385.25 +bytes used=2356839944, alloc=14677376, time=385.32 +bytes used=2357840360, alloc=14677376, time=385.40 +bytes used=2358840484, alloc=14677376, time=385.49 +bytes used=2359840748, alloc=14677376, time=385.57 +bytes used=2360840916, alloc=14677376, time=385.64 +bytes used=2361841124, alloc=14677376, time=385.73 +bytes used=2362841324, alloc=14677376, time=385.80 + 107 167 +- ---- DATA(-2, -2, 1) + 1/245 y z DATA(1, -1, -1) - ---- DATA(1, -2, 1) + 7000 7000 + + 187 187 + + 1/245 y z DATA(-1, -1, -1) - ---- DATA(0, -2, 1) - ---- DATA(0, 2, -1) + 7000 7000 + + 167 187 + - ---- DATA(-1, -2, 1) - ---- DATA(0, -1, 2) + 1/245 y z DATA(1, 1, -1) + 7000 7000 + + + 1/245 y z DATA(-1, 1, -1) + 1/245 y z DATA(-1, 1, 1) + + 229 107 + - ----- DATA(-2, -1, 1) - ---- DATA(2, -2, 1) - 1/500 x DATA(-1, -2, -1) + 10500 7000 + + 17 + - ---- DATA(0, 2, 2) - 1/500 x DATA(-2, 1, 1) + 1/1000 x DATA(1, 1, 1) + 5250 + + + 1/500 x DATA(-1, 2, -1) - 1/500 x DATA(2, 1, -1) + + - 1/250 x DATA(2, 2, -1) - 1/500 x DATA(1, 2, -1) + + + 1/500 x DATA(-1, -1, 2) + 1/500 x DATA(1, 2, 1) - 1/125 x DATA(2, 2, -2) + + - 1/500 x DATA(2, -1, 1) - 1/500 x DATA(-1, 2, 1) + + - 1/250 x DATA(-2, -2, -1) - 1/500 x DATA(1, 1, -2) + + - 1/250 x DATA(1, 2, -2) + 1/125 x DATA(-2, 2, -2) + + 229 289 + - 1/250 x DATA(-2, 2, 1) + ----- DATA(2, -1, -1) + ----- DATA(0, 1, 1) + 10500 10500 + + 137 + + ---- DATA(1, 1, 1) - 1/350 x z DATA(-2, -1, 1) + 5250 + + + 1/350 x z DATA(2, -1, -1) + 1/175 x z DATA(2, -2, 1) + + - 1/175 x z DATA(-2, -2, 1) + 1/350 x z DATA(1, -2, 1) + + - 1/350 x z DATA(-1, -2, 1) - 1/175 x z DATA(2, 2, -1) + + - 1/350 x z DATA(2, 1, -1) + 1/350 x z DATA(-1, 2, -1) + + - 1/700 x z DATA(1, 1, 1) + 1/350 x z DATA(-2, 1, 1) + + - 1/350 x z DATA(-1, 1, -2) + 1/175 x z DATA(2, 1, -2) + + - 1/175 x z DATA(2, 2, 1) - 1/175 x z DATA(-1, 2, -2) + + + 1/350 x z DATA(1, 1, -2) + 1/175 x z DATA(-2, 2, 1) + + - 2/175 x z DATA(-2, 2, -2) - 1/350 x z DATA(-1, -2, -1) + + + 1/175 x z DATA(1, 2, -2) - 1/175 x z DATA(-2, 1, -2) + + - 1/350 x z DATA(1, 2, -1) + 1/350 x z DATA(-1, 2, 1) + + + 2/175 x z DATA(2, 2, -2) - 1/350 x z DATA(1, 2, 1) + + + 1/350 x z DATA(-1, -1, 2) - 1/350 x z DATA(2, 1, 1) + + 107 + + 1/350 x z DATA(2, -1, 1) - ---- DATA(2, 2, -1) - 1/350 x y DATA(1, 1, 2) + 7000 + + - 1/175 x y DATA(2, -1, 2) - 1/175 x z DATA(-2, -2, -1) + + - 1/350 x y DATA(-2, -1, -1) - 1/350 x y DATA(1, -1, 2) + + + 1/350 x y DATA(-1, 1, 2) - 1/175 x y DATA(2, -2, -1) + + - 1/175 x y DATA(2, 1, 2) - 1/350 x y DATA(-2, 1, -1) + + - 1/350 x y DATA(1, -2, -1) - 2/175 x y DATA(-2, -2, 2) + + + 1/700 x y DATA(1, -1, -1) - 1/700 x y DATA(-1, -1, -1) + + + 1/175 x y DATA(1, 2, 2) + 2/175 x y DATA(2, 2, 2) + + + 1/175 x y DATA(-2, 2, -1) + 2/175 x y DATA(2, -2, 2) + + - 1/175 x y DATA(-1, 2, 2) + 1/700 x y DATA(-1, -1, 1) + + - 1/700 x y DATA(1, -1, 1) + 1/700 x y DATA(1, 1, -1) + + - 1/700 x y DATA(-1, 1, -1) + 1/700 x y DATA(-1, 1, 1) + + - 2/175 x y DATA(-2, 2, 2) + 2/175 x y DATA(-2, -2, -2) + + + 1/175 x y DATA(-2, 1, 2) - 2/175 x y DATA(2, -2, -2) + + - 1/175 x y DATA(-2, -1, -2) + 1/175 x y DATA(-2, -1, 2) + + + 1/350 x y DATA(1, -1, -2) + 1/175 x y DATA(2, -1, -2) + + - 1/350 x y DATA(-1, -1, -2) + 1/175 x y DATA(-1, -2, -2) + + 2 + - 1/175 x y DATA(1, -2, -2) + 1/175 x DATA(2, 2, 2) + + 2 + - 1/350 x DATA(1, 2, 2) + 1/250 x DATA(2, 1, 2) - 1/125 x DATA(2, -2, 2) + + 2 + + 1/250 x DATA(-2, 2, -1) - 1/175 x DATA(2, -2, 2) + + 2 + - 1/350 x DATA(-2, 2, -1) - 1/250 x DATA(-1, 2, 2) + + + 1/250 x DATA(-1, -2, 2) - 1/250 x DATA(2, -1, 2) + 1/500 x DATA(1, 1, 2) + + - 1/500 x DATA(-1, 1, 2) - 1/500 x DATA(1, -1, 2) + + + 1/250 x DATA(2, -2, -1) - 1/500 x DATA(-2, -1, -1) + + + 1/125 x DATA(-2, -2, 2) + 1/500 x DATA(1, -2, -1) + + 167 + + 1/500 x DATA(-2, 1, -1) - 1/250 x DATA(1, -2, 2) - ---- DATA(1, 2, -1) + 7000 + + + 1/250 x DATA(1, -2, -2) - 1/500 x DATA(-1, -1, -2) + + - 1/1000 x DATA(1, -1, 1) + 1/125 x DATA(2, 2, 2) + 1/250 x DATA(1, 2, 2) + + - 1/1000 x DATA(-1, -1, -1) + 1/1000 x DATA(1, -1, -1) + + - 1/1000 x DATA(-1, 1, 1) + 1/1000 x DATA(-1, 1, -1) + + - 1/1000 x DATA(1, 1, -1) - 1/250 x DATA(-1, -2, -2) + + - 1/125 x DATA(-2, -2, -2) - 1/250 x DATA(-2, 1, 2) + + + 1/250 x DATA(-2, -1, 2) - 1/250 x DATA(-2, -1, -2) + + + 1/500 x DATA(1, -1, -2) + 1/125 x DATA(2, -2, -2) + + 107 + - 1/125 x DATA(-2, 2, 2) - ---- DATA(-2, 1, -2) + 1/250 x DATA(2, -1, -2) + 7000 + + 167 + + 1/1000 x DATA(-1, -1, 1) - ---- DATA(-1, 2, -1) + 7000 + + 2 2 + - 1/350 x DATA(-2, -2, 1) - 1/350 x DATA(2, -2, 1) + + 2 2 + + 1/700 x DATA(1, -2, 1) - 1/1400 x DATA(1, 1, 1) + + 2 2 + + 1/700 x DATA(-1, 2, -1) - 1/700 x DATA(2, 1, -1) + + 2 2 + + 1/700 x DATA(2, -1, -1) + 1/700 x DATA(-1, -2, 1) + + 2 2 + - 1/700 x DATA(-2, -1, 1) - 1/350 x DATA(2, 1, -2) + + 2 2 + + 1/700 x DATA(1, 1, -2) + 1/350 x DATA(-1, 2, -2) + + 2 2 + + 1/350 x DATA(2, 2, 1) - 1/350 x DATA(2, 2, -1) + + 2 2 + - 1/350 x DATA(-2, 1, -2) + 1/350 x DATA(1, 2, -2) + + 2 2 + - 1/700 x DATA(-1, -2, -1) - 1/175 x DATA(-2, 2, -2) + + 2 2 + + 1/700 x DATA(1, 2, -1) + 1/700 x DATA(-1, 1, -2) + + 2 2 + + 1/700 x DATA(-2, 1, 1) - 1/700 x DATA(1, 1, 2) + + 2 2 + - 1/700 x DATA(-1, 1, 2) + 1/700 x DATA(1, -1, 2) + + 2 2 + + 1/350 x DATA(2, -2, -1) + 1/700 x DATA(-2, -1, -1) + + 2 2 + + 1/700 x DATA(2, 1, 1) + 1/700 x DATA(-1, -1, 2) + + 2 2 + - 1/700 x DATA(1, 2, 1) - 1/175 x DATA(2, 2, -2) + + 2 2 + - 1/700 x DATA(2, -1, 1) - 1/700 x DATA(-1, 2, 1) + + 2 2 + + 1/350 x DATA(-2, -2, -1) + 1/350 x DATA(-1, -2, 2) + + 2 2 + + 1/350 x DATA(1, -2, 2) + 1/350 x DATA(-2, 2, 1) + + 2 2 + + 1/1400 x DATA(-1, -1, 1) + 1/175 x DATA(-2, -2, -2) + + 2 2 + - 1/1400 x DATA(1, -1, -1) - 1/175 x DATA(-2, -2, 2) + + 2 2 + - 1/700 x DATA(1, -2, -1) - 1/700 x DATA(-2, 1, -1) + + 2 2 + + 1/350 x DATA(2, 1, 2) - 1/350 x DATA(-1, 2, 2) + + 2 2 + - 1/350 x DATA(2, -1, 2) + 1/1400 x DATA(1, -1, 1) + + 2 2 + + 1/175 x DATA(-2, 2, 2) + 1/350 x DATA(-2, 1, 2) + + 2 2 + - 1/350 x DATA(-2, -1, 2) + 1/350 x DATA(-2, -1, -2) + + 2 2 + - 1/700 x DATA(1, -1, -2) - 1/1400 x DATA(-1, -1, -1) + + 2 2 + - 1/1400 x DATA(-1, 1, 1) + 1/1400 x DATA(-1, 1, -1) + + 2 2 + + 1/1400 x DATA(1, 1, -1) + 1/175 x DATA(2, -2, -2) + + 2 2 + - 1/350 x DATA(1, -2, -2) - 1/350 x DATA(-1, -2, -2) + + 2 2 + - 1/700 x DATA(-1, -1, -2) + 1/350 x DATA(2, -1, -2) + + 229 + - ----- DATA(2, 1, -1) - 1/250 x DATA(2, -2, 1) + 1/500 x DATA(2, -1, -1) + 10500 + + + 1/250 x DATA(-2, 1, -2) + 1/500 x DATA(-2, -1, 1) + + - 1/250 x DATA(2, 1, -2) + 1/500 x DATA(-1, 1, -2) + + + 1/500 x DATA(-1, -2, 1) - 1/500 x DATA(1, -2, 1) + + + 1/250 x DATA(-2, -2, 1) + 1/250 x DATA(-1, 2, -2) + + + 1/250 x DATA(2, 2, 1) + 1/500 x DATA(2, 1, 1) + 1/175 y DATA(2, -2, 1) + + + 1/175 y DATA(1, -2, 1) - 1/350 y DATA(1, 1, 1) - 1/175 y DATA(-1, 2, -1) + + + 1/175 y DATA(-1, -2, 1) + 1/175 y DATA(2, 1, -2) + + + 1/175 y DATA(-1, 1, -2) - 1/350 y DATA(-2, -1, 1) + + + 1/350 y DATA(2, -1, -1) + 1/175 y DATA(-2, -2, 1) + + - 1/350 y DATA(-2, 1, 1) - 1/350 y DATA(2, 1, 1) - 1/175 y DATA(-1, -1, 2) + + + 1/175 y DATA(1, 2, 1) + 1/175 y DATA(-2, 2, 1) + 1/175 y DATA(1, 1, -2) + + - 2/175 y DATA(-1, 2, -2) - 2/175 y DATA(1, 2, -2) + + - 2/175 y DATA(-2, 2, -2) - 1/175 y DATA(-1, -2, -1) + + + 1/350 y DATA(2, 1, -1) - 1/175 y DATA(2, 2, -1) - 1/175 y DATA(1, 2, -1) + + + 1/175 y DATA(-2, 1, -2) - 1/175 y DATA(2, 1, 2) + 2/175 y DATA(-1, 2, 2) + + + 1/350 y DATA(-2, 1, -1) - 1/175 y DATA(1, -1, 2) + + + 1/350 y DATA(-2, -1, -1) + 2/175 y DATA(-2, -2, 2) + + - 1/175 y DATA(2, -2, -1) + 2/175 y DATA(1, -2, 2) - 1/175 y DATA(1, 1, 2) + + - 1/175 y DATA(-1, 1, 2) - 1/175 y DATA(2, -1, 2) - 2/175 y DATA(2, 2, -2) + + + 1/175 y DATA(-1, 2, 1) - 1/175 y DATA(-2, -2, -1) + + + 2/175 y DATA(-1, -2, 2) - 1/350 y DATA(2, -1, 1) + 1/175 y DATA(2, 2, 1) + + + 1/350 y DATA(-1, 1, -1) + 1/350 y DATA(-1, -1, -1) + + + 1/350 y DATA(1, -1, -1) - 1/350 y DATA(-1, 1, 1) + + + 2/175 y DATA(2, -2, 2) - 1/175 y DATA(-2, 2, -1) + 2/175 y DATA(2, 2, 2) + + + 2/175 y DATA(1, 2, 2) - 1/175 y DATA(1, -2, -1) + 1/350 y DATA(1, 1, -1) + + - 1/350 y DATA(-1, -1, 1) + 2/175 y DATA(-2, 2, 2) + + - 1/175 y DATA(-2, 1, 2) - 2/175 y DATA(-2, -2, -2) + + 187 + - 1/350 y DATA(1, -1, 1) - 1/175 y DATA(-2, -1, 2) - ---- DATA(0, 1, -2) + 7000 + + 229 167 + + ----- DATA(-2, 1, 1) - ---- DATA(-1, 1, -2) - 1/175 x z DATA(2, -1, -2) + 10500 7000 + + + 1/350 x z DATA(-1, -1, -2) + 1/175 x z DATA(-1, -2, -2) + + - 1/175 x z DATA(1, -2, 2) + 1/175 x z DATA(-1, -2, 2) + + + 2/175 x z DATA(-2, -2, 2) - 1/350 x z DATA(-2, -1, -1) + + + 1/175 x z DATA(2, -2, -1) - 1/350 x z DATA(1, -1, 2) + + - 1/350 x z DATA(-1, 1, 2) + 1/700 x z DATA(-1, 1, -1) + + + 1/700 x z DATA(-1, 1, 1) + 1/700 x z DATA(1, -1, -1) + + - 1/700 x z DATA(-1, -1, -1) + 1/175 x z DATA(1, 2, 2) + + + 2/175 x z DATA(2, 2, 2) + 1/175 x z DATA(-2, 2, -1) + + - 2/175 x z DATA(2, -2, 2) - 1/175 x z DATA(-1, 2, 2) + + + 1/175 x z DATA(2, 1, 2) + 1/350 x z DATA(-2, 1, -1) + + + 1/350 x z DATA(1, -2, -1) - 2/175 x z DATA(-2, 2, 2) + + - 1/700 x z DATA(-1, -1, 1) + 1/700 x z DATA(1, -1, 1) + + - 1/700 x z DATA(1, 1, -1) + 2/175 x z DATA(-2, -2, -2) + + - 1/175 x z DATA(1, -2, -2) - 2/175 x z DATA(2, -2, -2) + + - 1/350 x z DATA(1, -1, -2) + 1/175 x z DATA(-2, -1, -2) + + + 1/175 x z DATA(-2, -1, 2) - 1/175 x z DATA(-2, 1, 2) + + 2 2 + + 1/100 z DATA(-1, 1, -1) + 1/100 z DATA(1, 1, -1) + + 2 2 107 + + 1/100 z DATA(1, -1, 1) + 1/100 z DATA(-1, -1, 1) - ---- DATA(2, 1, -2) + 7000 + + 2 2 + + 1/100 z DATA(-2, -2, -2) + 1/100 z DATA(-2, 2, 2) + + 2 2 + + 1/200 z DATA(-2, 1, 2) - 1/200 z DATA(-2, -1, 2) + + 2 2 + + 1/200 z DATA(-2, -1, -2) + 1/200 z DATA(1, -1, -2) + + 2 2 + + 1/100 z DATA(2, -2, -2) + 1/100 z DATA(1, -2, -2) + + 2 2 + + 1/100 z DATA(-1, -2, -2) + 1/200 z DATA(-1, -1, -2) + + 2 + + 1/200 z DATA(2, -1, -2) - 1/175 z DATA(2, -1, -2) + + - 1/175 z DATA(-1, -1, -2) - 2/175 z DATA(2, -2, -2) + + 2 + - 2/175 z DATA(1, -2, -2) - 1/50 z DATA(2, -2, -1) + + 2 2 + - 1/100 z DATA(-2, -1, -1) - 1/100 z DATA(-2, -2, 2) + + 2 2 + - 1/200 z DATA(1, -1, 2) + 1/100 z DATA(1, 2, 2) + + 2 2 + - 1/100 z DATA(-1, -1, -1) - 1/100 z DATA(1, -1, -1) + + 2 2 + - 1/100 z DATA(-1, 1, 1) - 1/200 z DATA(-2, 1, -2) + + 2 2 + - 1/100 z DATA(1, 1, 1) + 1/50 z DATA(-1, 2, -1) + + 2 2 + + 1/100 z DATA(2, 1, -1) - 1/100 z DATA(-2, 1, 1) + + 2 2 + + 1/200 z DATA(2, 1, 2) - 1/100 z DATA(2, -2, 2) + + 2 2 + + 1/50 z DATA(-2, 2, -1) + 1/100 z DATA(2, 2, 2) + + 2 2 + + 1/100 z DATA(-1, 2, 2) - 1/50 z DATA(1, -2, -1) + + 2 2 + + 1/100 z DATA(-2, 1, -1) + 1/200 z DATA(-1, 1, 2) + + 2 2 + - 1/100 z DATA(-2, 2, -2) - 1/50 z DATA(-2, 2, 1) + + 2 2 + - 1/100 z DATA(1, 2, -2) - 1/50 z DATA(-1, -2, -1) + + 2 2 2 + + 1/50 z DATA(2, 2, -1) + 1/50 z DATA(1, 2, -1) - 1/100 z DATA(2, 1, 1) + + 2 2 + - 1/200 z DATA(1, 1, -2) - 1/100 z DATA(-1, 2, -2) + + 2 2 + - 1/100 z DATA(1, -2, 2) - 1/200 z DATA(2, -1, 2) + + 2 2 + + 1/200 z DATA(1, 1, 2) - 1/100 z DATA(2, 2, -2) + + 2 2 + + 1/100 z DATA(2, -1, 1) - 1/50 z DATA(-1, 2, 1) + + 2 2 2 + - 1/200 z DATA(-1, -1, 2) - 1/50 z DATA(1, 2, 1) - 1/50 z DATA(2, 2, 1) + + 2 2 + - 1/50 z DATA(-2, -2, -1) - 1/100 z DATA(-1, -2, 2) + + 2 + + 1/50 z DATA(-2, -2, 1) + 1/175 z DATA(-1, -2, 1) + + + 1/350 z DATA(-2, -1, 1) + 1/350 z DATA(2, -1, -1) + + + 1/175 z DATA(1, -2, 1) + 1/175 z DATA(-2, -2, 1) + + - 2/175 z DATA(2, -2, 2) - 1/175 z DATA(-2, 2, -1) + + 2 2 + + 1/50 z DATA(-1, -2, 1) + 1/100 z DATA(-2, -1, 1) + + 2 2 + - 1/200 z DATA(2, 1, -2) - 1/200 z DATA(-1, 1, -2) + + 2 2 + + 1/50 z DATA(2, -2, 1) - 1/100 z DATA(2, -1, -1) + + 2 + + 1/50 z DATA(1, -2, 1) - 1/175 z DATA(-1, 2, -1) + + - 1/175 z DATA(1, 2, -1) - 1/350 z DATA(2, 1, -1) + 1/175 z DATA(2, 1, -2) + + - 1/350 z DATA(-2, 1, 1) - 1/350 z DATA(1, 1, 1) + 1/175 z DATA(-1, 1, -2) + + + 1/175 z DATA(2, -2, 1) - 1/175 z DATA(2, 2, -1) - 1/175 z DATA(1, 2, 1) + + + 2/175 z DATA(2, 2, -2) + 1/350 z DATA(2, -1, 1) - 1/175 z DATA(2, 2, 1) + + - 1/350 z DATA(2, 1, 1) + 1/175 z DATA(1, 1, -2) + 2/175 z DATA(-1, 2, -2) + + + 1/175 z DATA(-2, 1, -2) + 1/175 z DATA(-1, -2, -1) + + + 2/175 z DATA(-2, 2, -2) - 1/175 z DATA(-2, 2, 1) + + + 2/175 z DATA(1, 2, -2) + 1/175 z DATA(-1, 1, 2) - 1/175 z DATA(-1, 2, 1) + + + 1/175 z DATA(-2, -2, -1) - 2/175 z DATA(-1, -2, 2) + + - 1/175 z DATA(-1, -1, 2) + 1/175 z DATA(2, 1, 2) + 2/175 z DATA(-1, 2, 2) + + - 1/175 z DATA(1, -1, 2) + 1/175 z DATA(2, -2, -1) + + + 1/350 z DATA(-2, -1, -1) - 2/175 z DATA(-2, -2, 2) + + + 1/175 z DATA(1, -2, -1) - 2/175 z DATA(1, -2, 2) + + - 1/175 z DATA(2, -1, 2) + 1/175 z DATA(1, 1, 2) - 1/350 z DATA(-1, 1, -1) + + - 1/350 z DATA(1, 1, -1) - 1/350 z DATA(-1, 1, 1) + 2/175 z DATA(2, 2, 2) + + + 2/175 z DATA(1, 2, 2) + 1/350 z DATA(-1, -1, -1) + + - 1/350 z DATA(-2, 1, -1) - 1/175 z DATA(-2, -1, -2) + + + 1/175 z DATA(-2, 1, 2) - 1/175 z DATA(-2, -1, 2) + + + 1/350 z DATA(1, -1, 1) - 2/175 z DATA(-2, -2, -2) + + + 2/175 z DATA(-2, 2, 2) + 1/350 z DATA(-1, -1, 1) + + + 1/350 z DATA(1, -1, -1) - 1/175 z DATA(1, -1, -2) + + + 1/350 x z DATA(1, 1, 2) - 1/175 x z DATA(2, -1, 2) + + 2 2 + + 1/50 y DATA(1, 1, -2) - 1/100 y DATA(-1, 2, -2) + + 2 + - 2/175 z DATA(-1, -2, -2) - 1/100 y DATA(-2, -1, -1) + + 2 2 + - 1/100 y DATA(-1, -2, 2) - 1/100 y DATA(1, -2, 2) + + 2 2 + + 1/50 y DATA(2, -1, 2) - 1/50 y DATA(1, 1, 2) + + 2 2 + - 1/200 y DATA(-2, 2, -1) - 1/100 y DATA(-2, -2, 2) + + 2 2 + + 1/200 y DATA(1, -2, -1) + 1/100 y DATA(-2, 1, -1) + + 2 2 + - 1/50 y DATA(-1, 1, 2) + 1/50 y DATA(1, -1, 2) + + 2 2 + + 1/200 y DATA(2, -2, -1) + 1/100 y DATA(-1, 1, -1) + + 2 2 + + 1/100 y DATA(1, 1, -1) + 1/100 y DATA(2, 2, 2) + + 2 2 + + 1/100 y DATA(1, 2, 2) - 1/100 y DATA(-1, -1, -1) + + 2 2 + - 1/50 y DATA(2, 1, 2) + 1/100 y DATA(-1, 2, 2) + + 2 2 + - 1/100 y DATA(2, -2, 2) - 1/50 y DATA(-2, 1, 2) + + 2 2 + + 1/50 y DATA(-2, -1, 2) - 1/50 y DATA(-2, -1, -2) + + 2 2 + + 1/100 y DATA(-2, -2, -2) + 1/100 y DATA(-2, 2, 2) + + 2 2 + + 1/100 y DATA(1, -1, 1) + 1/100 y DATA(-1, -1, 1) + + 2 2 + - 1/100 y DATA(1, -1, -1) - 1/100 y DATA(-1, 1, 1) + + 2 2 + - 1/50 y DATA(-1, -1, -2) - 1/50 y DATA(2, -1, -2) + + 2 2 + - 1/50 y DATA(1, -1, -2) + 1/100 y DATA(2, -2, -2) + + 2 2 + + 1/100 y DATA(1, -2, -2) + 1/100 y DATA(-1, -2, -2) + + 2 2 + - 1/200 y DATA(-2, -2, 1) - 1/200 y DATA(2, -2, 1) + + 2 2 167 + - 1/100 y DATA(2, -1, -1) - 1/200 y DATA(1, -2, 1) - ---- DATA(1, 1, -2) + 7000 + + 2 2 + - 1/100 y DATA(-2, 2, -2) + 1/50 y DATA(-2, 1, -2) + + 2 2 + - 1/100 y DATA(1, 2, -2) + 1/200 y DATA(-1, -2, -1) + + 2 2 + - 1/200 y DATA(-1, 2, -1) - 1/200 y DATA(2, 2, -1) + + 2 2 + - 1/200 y DATA(1, 2, -1) + 1/100 y DATA(2, 1, -1) + + 2 2 + + 1/50 y DATA(-1, 1, -2) - 1/100 y DATA(-2, 1, 1) + + 2 2 + - 1/100 y DATA(1, 1, 1) - 1/200 y DATA(-1, -2, 1) + + 2 2 + + 1/100 y DATA(-2, -1, 1) + 1/50 y DATA(2, 1, -2) + + 2 2 + + 1/200 y DATA(-2, 2, 1) + 1/100 y DATA(2, -1, 1) + + 2 2 + + 1/200 y DATA(-2, -2, -1) + 1/200 y DATA(2, 2, 1) + + 2 2 + - 1/100 y DATA(2, 1, 1) + 1/50 y DATA(-1, -1, 2) + + 2 + + 1/200 y DATA(-1, 2, 1) + 1/175 y DATA(-2, -1, -2) + + - 2/175 y DATA(1, -2, -2) - 2/175 y DATA(-1, -2, -2) + + 2 + + 1/175 y DATA(1, -1, -2) + 1/200 y DATA(1, 2, 1) + + 2 + - 1/100 y DATA(2, 2, -2) - 2/175 y DATA(2, -2, -2) + + + 1/175 y DATA(-1, -1, -2) + 1/175 y DATA(2, -1, -2) + + 47 137 17 + + ---- DATA(-1, 2, -2) + ---- DATA(-2, 2, -2) + ---- DATA(0, 2, -2) + 5250 5250 5250 + + 107 229 47 + + ---- DATA(-2, 2, 1) - ----- DATA(2, -1, 1) + ---- DATA(1, 2, -2) + 7000 10500 5250 + + 167 167 107 + + ---- DATA(-1, -2, -1) + ---- DATA(-1, 2, 1) + ---- DATA(-2, -2, -1) + 7000 7000 7000 + + 137 229 167 + + ---- DATA(2, 2, -2) + ----- DATA(2, 1, 1) + ---- DATA(1, 2, 1) + 5250 10500 7000 + + 187 187 167 + + ---- DATA(0, 2, 1) + ---- DATA(0, -2, -1) - ---- DATA(-1, -1, 2) + 7000 7000 7000 + + 107 137 167 + + ---- DATA(2, 2, 1) + ---- DATA(-2, -2, 2) + ---- DATA(1, -2, -1) + 7000 5250 7000 + + 167 229 107 + - ---- DATA(1, -1, 2) + ----- DATA(-2, -1, -1) + ---- DATA(2, -2, -1) + 7000 10500 7000 + + 107 17 167 + - ---- DATA(2, -1, 2) + ---- DATA(0, -2, 2) + ---- DATA(1, 1, 2) + 7000 5250 7000 + + 187 167 47 + + ---- DATA(0, 1, 2) + ---- DATA(-1, 1, 2) + ---- DATA(-1, -2, 2) + 7000 7000 5250 + + 47 47 107 + + ---- DATA(1, -2, 2) - ---- DATA(-1, 2, 2) + ---- DATA(2, 1, 2) + 5250 5250 7000 + + 47 229 + - ---- DATA(1, 2, 2) - ----- DATA(-2, 1, -1) + 4/245 y z DATA(1, 2, 2) + 5250 10500 + + 137 289 137 + - ---- DATA(-1, -1, 1) - ----- DATA(0, -1, 1) - ---- DATA(1, -1, 1) + 5250 10500 5250 + + 137 137 289 + + ---- DATA(-1, 1, 1) - ---- DATA(-1, 1, -1) - ----- DATA(0, 1, -1) + 5250 5250 10500 + + 137 137 289 + - ---- DATA(1, 1, -1) + ---- DATA(-1, -1, -1) + ----- DATA(0, -1, -1) + 5250 5250 10500 + + 137 137 107 + 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4/245 y z DATA(1, -2, 2) - 2/245 y z DATA(2, -1, 2) + + - 2/245 y z DATA(1, 1, 2) - 2/245 y z DATA(-1, 1, 2) + + - 2/245 y z DATA(1, -1, 2) - 2/245 y z DATA(2, -2, -1) + + + 1/245 y z DATA(-2, -1, -1) + 4/245 y z DATA(-2, -2, 2) + + - 2/245 y z DATA(1, -2, -1) + 1/245 y z DATA(-2, 1, -1) + + - 2/245 y z DATA(2, 1, 2) + 4/245 y z DATA(-1, 2, 2) + + + 4/245 y z DATA(2, -2, 2) - 2/245 y z DATA(-2, 2, -1) + + 107 + - ---- DATA(-2, -1, 2) + 4/245 y z DATA(2, 2, 2) + 7000 + + - 4/245 y z DATA(0, -2, 0) - 4/245 y z DATA(1, 0, 2) + + + 2/245 y z DATA(-1, 0, -1) + 2/245 y z DATA(0, 0, 1) + + + 2/245 y z DATA(1, 0, 1) + 4/245 y z DATA(0, 0, 0) + + - 4/245 y z DATA(-2, 2, 0) + 2/245 y z DATA(2, 0, -1) + + + 2/245 y z DATA(-2, 0, 1) + 4/245 y z DATA(2, 0, 0) + + - 4/245 y z DATA(0, 2, 0) + 4/245 y z DATA(-2, 0, 0) + + + 2/245 y z DATA(0, -1, 0) + 1/245 y z DATA(-1, -1, 1) + + + 4/245 y z DATA(-2, -2, -2) - 4/245 y z DATA(2, -2, 0) + + + 2/245 y z DATA(-2, -1, 0) + 2/245 y z DATA(1, 1, 0) + + + 4/245 y z DATA(1, 0, 0) + 2/245 y z DATA(0, 1, 0) + + + 2/245 y z DATA(2, 1, 0) + 2/245 y z DATA(-2, 1, 0) + + + 2/245 y z DATA(-1, 1, 0) + 2/245 y z DATA(-1, -1, 0) + + - 4/245 y z DATA(-2, -2, 0) - 4/245 y z DATA(-1, -2, 0) + + - 4/245 y z DATA(1, -2, 0) + 2/245 y z DATA(1, -1, 0) + + - 4/245 y z DATA(2, 2, 0) + 4/245 y z DATA(-2, 2, 2) + + - 4/245 y z DATA(-1, 0, 2) - 4/245 y z DATA(-2, 0, -2) + + - 4/245 y z DATA(0, 0, -2) - 4/245 y z DATA(-1, 0, -2) + + - 4/245 y z DATA(1, 0, -2) - 4/245 y z DATA(-2, 0, 2) + + + 2/245 y z DATA(2, -1, 0) - 4/245 y z DATA(1, 2, 0) + + - 4/245 y z DATA(-1, 2, 0) - 4/245 y z DATA(2, 0, 2) + + - 4/245 y z DATA(0, 0, 2) + 2/245 y z DATA(-2, 0, -1) + + + 4/245 y z DATA(-1, 0, 0) - 2/245 y z DATA(-2, 1, 2) + + + 2/245 y z DATA(-1, 0, 1) + 2/245 y z DATA(0, 0, -1) + + + 2/245 y z DATA(1, 0, -1) - 4/245 y z DATA(2, 0, -2) + + - 2/245 y z DATA(-2, -1, 2) - 2/245 y z DATA(-2, -1, -2) + + - 2/245 y z DATA(1, -1, -2) + 4/245 y z DATA(2, -2, -2) + + + 4/245 y z DATA(1, -2, -2) + 1/175 x y DATA(2, 0, -1) + + - 1/175 x y DATA(2, 0, 1) - 1/175 x y DATA(-1, 0, -2) + + + 1/175 x y DATA(1, 0, -2) + 2/175 x y DATA(-2, 0, 2) + + + 4/245 y z DATA(-1, -2, -2) + 1/175 x y DATA(-2, 0, 1) + + - 1/175 x y DATA(1, 0, 2) - 1/350 x y DATA(-1, 0, -1) + + - 1/350 x y DATA(1, 0, 1) - 2/175 x y DATA(-2, 0, -2) + + - 2/175 x y DATA(2, 0, 2) + 1/175 x y DATA(-1, 0, 2) + + - 1/175 x y DATA(-2, 0, -1) - 2/245 y z DATA(-1, -1, -2) + + - 2/245 y z DATA(2, -1, -2) - 1/175 y DATA(2, 0, 1) + + - 1/175 y DATA(-2, 0, 1) - 1/175 y DATA(0, 0, 1) - 1/175 y DATA(1, 0, 1) + + + 1/175 y DATA(2, 0, -1) - 2/175 y DATA(0, 0, 2) + 2/175 y DATA(-2, 0, -2) + + + 2/175 y DATA(0, 0, -2) - 2/175 y DATA(1, 0, 2) + 1/175 y DATA(-1, 0, -1) + + - 2/175 y DATA(2, 0, 2) + 2/175 y DATA(-1, 0, -2) + 2/175 y DATA(1, 0, -2) + + - 2/175 y DATA(-2, 0, 2) - 1/175 y DATA(-1, 0, 1) + + + 1/175 y DATA(-2, 0, -1) + 1/175 y DATA(0, 0, -1) + + + 1/175 y DATA(1, 0, -1) + 2/175 y DATA(2, 0, -2) - 2/175 z DATA(2, 2, 0) + + - 1/175 z DATA(-2, 1, 0) - 1/175 z DATA(-1, 1, 0) + + + 1/175 z DATA(-1, -1, 0) + 1/175 z DATA(0, -1, 0) + + + 2/175 z DATA(0, -2, 0) + 1/175 z DATA(1, -1, 0) + 2/175 z DATA(2, -2, 0) + + + 1/175 z DATA(-2, -1, 0) - 1/175 z DATA(1, 1, 0) + 1/175 z DATA(2, -1, 0) + + - 2/175 z DATA(1, 2, 0) - 2/175 z DATA(-1, 2, 0) - 1/175 z DATA(2, 1, 0) + + - 2/175 z DATA(-2, 2, 0) - 1/175 z DATA(0, 1, 0) - 2/175 z DATA(0, 2, 0) + + + 2/175 z DATA(-2, -2, 0) + 2/175 z DATA(-1, -2, 0) + + + 2/175 z DATA(1, -2, 0) - 2/175 y DATA(-1, 0, 2) + + + 4/245 y z DATA(-2, 2, -2) - 2/245 y z DATA(-1, -2, -1) + + + 4/245 y z DATA(1, 2, -2) - 2/245 y z DATA(-2, 1, -2) + + + 2/245 y z DATA(2, 0, 1) + 1/245 y z DATA(1, -1, 1) + + - 2/245 y z DATA(-2, 2, 1) + 1/245 y z DATA(2, -1, -1) + + - 2/245 y z DATA(2, -2, 1) - 2/245 y z DATA(-2, -2, 1) + + 107 + + ---- DATA(-2, 1, 2) + 1/245 y z DATA(-2, 1, 1) + 7000 + + - 2/245 y z DATA(-1, 1, -2) - 2/245 y z DATA(2, 1, -2) + + + 1/245 y z DATA(-2, -1, 1) - 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+ + 1/350 x y DATA(2, -1, -1) - ---- DATA(2, -2, -2) + ---- DATA(1, -1, -2) + 5250 7000 + + 187 167 + + ---- DATA(0, -1, -2) + ---- DATA(-1, -1, -2) - 1/175 x y DATA(-2, -2, 1) + 7000 7000 + + 107 + + 1/350 x y DATA(1, -2, 1) + ---- DATA(2, -1, -2) + 7000 + +> coeffs_as_lc_of_data(%, posn_list_3d_size5); +bytes used=2363901008, alloc=14677376, time=385.88 +bytes used=2364901296, alloc=14677376, time=385.96 +bytes used=2365901528, alloc=14677376, time=386.03 +bytes used=2366924292, alloc=14677376, time=386.11 +bytes used=2367998724, alloc=14677376, time=386.19 +bytes used=2369048208, alloc=14677376, time=386.27 +bytes used=2370065768, alloc=14677376, time=386.36 +bytes used=2371072988, alloc=14677376, time=386.44 +bytes used=2372073244, alloc=14677376, time=386.52 +bytes used=2373073716, alloc=14677376, time=386.61 +bytes used=2374073884, alloc=14677376, time=386.69 +bytes used=2375083364, alloc=14677376, time=386.78 +bytes used=2376121972, alloc=14677376, time=386.86 +bytes used=2377150604, alloc=14677376, time=386.95 +bytes used=2378150808, alloc=14677376, time=387.04 +bytes used=2379151336, alloc=14677376, time=387.13 +bytes used=2380151500, alloc=14677376, time=387.22 +bytes used=2381171848, alloc=14677376, time=387.32 +bytes used=2382177612, alloc=14677376, time=387.41 +bytes used=2383177832, alloc=14677376, time=387.51 +bytes used=2384198240, alloc=14677376, time=387.61 +bytes used=2385202120, alloc=14677376, time=387.72 +bytes used=2386203148, alloc=14677376, time=387.82 +bytes used=2387215660, alloc=14677376, time=387.90 +bytes used=2388220296, alloc=14677376, time=387.98 +bytes used=2389225180, alloc=14677376, time=388.05 + 2 2 +[COEFF(-2, -2, -2) = 2/175 x z + 1/100 z - 2/175 z + 1/100 y + 4/245 y z + + 137 2 + - ---- - 1/125 x - 2/175 y + 1/175 x + 2/175 x y, COEFF(-1, -2, -2) = + 5250 + + 2 47 2 + 1/175 x z - 1/350 x - 2/175 y - ---- - 1/250 x - 2/175 z + 1/100 z + 5250 + + 2 + + 4/245 y z + 1/100 y + 1/175 x y, COEFF(0, -2, -2) = + + 2 17 2 2 + 1/100 y - ---- + 4/245 y z - 2/175 z + 1/100 z - 1/175 x - 2/175 y, + 5250 + + 2 2 47 + COEFF(1, -2, -2) = - 1/175 x y - 1/350 x + 1/100 z + 1/250 x - ---- + 5250 + + 2 + - 2/175 y - 2/175 z - 1/175 x z + 4/245 y z + 1/100 y , COEFF(2, -2, -2) + + 137 2 2 + = - 2/175 x y - 2/175 x z - ---- + 1/100 y - 2/175 y + 1/100 z + 1/125 x + 5250 + + 2 2 + + 1/175 x + 4/245 y z - 2/175 z, COEFF(-2, -1, -2) = 1/175 y + 1/350 x + + 2 107 + + 1/200 z - 2/245 y z + 1/175 x z - 1/250 x - 1/175 x y + ---- - 1/175 z + 7000 + + 2 2 + - 1/50 y , COEFF(-1, -1, -2) = - 1/700 x - 1/175 z - 1/500 x + 1/175 y + + 2 167 2 + - 1/350 x y + 1/350 x z - 1/50 y + ---- - 2/245 y z + 1/200 z , + 7000 + + COEFF(0, -1, -2) = + + 2 2 187 2 + - 1/50 y + 1/175 y - 1/175 z - 2/245 y z + 1/200 z + ---- - 1/350 x , + 7000 + + COEFF(1, -1, -2) = - 1/175 z + 1/500 x + 1/175 y - 2/245 y z + 1/350 x y + + 2 2 167 2 + + 1/200 z - 1/50 y - 1/350 x z + ---- - 1/700 x , COEFF(2, -1, -2) = + 7000 + + 2 107 2 2 + - 2/245 y z + 1/175 y + 1/350 x + 1/250 x + ---- - 1/50 y + 1/200 z + 7000 + + - 1/175 z - 1/175 x z + 1/175 x y, + + COEFF(-2, 0, -2) = - 4/245 y z - 2/175 x y + 2/175 y, + + COEFF(-1, 0, -2) = - 4/245 y z - 1/175 x y + 2/175 y, + + COEFF(0, 0, -2) = 2/175 y - 4/245 y z, + + COEFF(1, 0, -2) = - 4/245 y z + 2/175 y + 1/175 x y, + + COEFF(2, 0, -2) = 2/175 y - 4/245 y z + 2/175 x y, COEFF(-2, 1, -2) = + + 2 2 2 107 + - 1/200 z + 1/175 y + 1/50 y - 1/350 x - ---- + 1/250 x + 1/175 z + 7000 + + 2 + - 2/245 y z - 1/175 x z - 1/175 x y, COEFF(-1, 1, -2) = 1/700 x + 1/175 y + + 2 167 2 + - 1/350 x y - 1/200 z - 2/245 y z - ---- - 1/350 x z + 1/175 z + 1/50 y + 7000 + + + 1/500 x, COEFF(0, 1, -2) = + + 2 187 2 2 + 1/50 y - ---- + 1/175 y - 2/245 y z + 1/175 z + 1/350 x - 1/200 z , + 7000 + + 2 167 + COEFF(1, 1, -2) = 1/175 y + 1/350 x y + 1/50 y - 1/500 x - ---- + 7000 + + 2 2 + + 1/350 x z + 1/700 x - 2/245 y z + 1/175 z - 1/200 z , COEFF(2, 1, -2) + + 107 2 + = - 2/245 y z - ---- + 1/175 y + 1/50 y + 1/175 x z + 1/175 x y - 1/250 x + 7000 + + 2 2 + + 1/175 z - 1/350 x - 1/200 z , COEFF(-2, 2, -2) = 1/125 x + 2/175 z + + 2 2 137 + + 2/175 x y + 4/245 y z - 1/100 y - 1/100 z - 2/175 y + ---- - 2/175 x z + 5250 + + 2 2 + - 1/175 x , COEFF(-1, 2, -2) = 1/175 x y - 1/100 y - 1/175 x z + + 2 47 2 + + 4/245 y z - 1/100 z + ---- - 2/175 y + 2/175 z + 1/250 x + 1/350 x , + 5250 + + COEFF(0, 2, -2) = + + 2 17 2 2 + - 1/100 z + 2/175 z + ---- + 1/175 x - 2/175 y + 4/245 y z - 1/100 y , + 5250 + + 2 2 + COEFF(1, 2, -2) = 2/175 z + 1/350 x - 2/175 y - 1/100 y + 1/175 x z + + 2 47 + - 1/100 z - 1/250 x + 4/245 y z - 1/175 x y + ----, COEFF(2, 2, -2) = + 5250 + + 2 137 2 2 + - 1/175 x + ---- - 1/100 z - 1/100 y - 2/175 x y - 2/175 y + 2/175 x z + 5250 + + 2 + + 2/175 z + 4/245 y z - 1/125 x, COEFF(-2, -2, -1) = - 1/50 z - 1/175 x z + + 2 2 + + 1/175 x y + 1/175 z + 1/350 x - 1/250 x - 2/245 y z + 1/200 y + + 107 + - 1/175 y + ----, COEFF(-1, -2, -1) = - 1/350 x z - 1/500 x + 1/350 x y + 7000 + + 2 2 2 167 + + 1/200 y - 1/700 x - 1/50 z - 1/175 y - 2/245 y z + 1/175 z + ----, + 7000 + + COEFF(0, -2, -1) = + + 2 2 187 2 + 1/200 y - 1/175 y - 1/350 x + ---- - 2/245 y z + 1/175 z - 1/50 z , + 7000 + + 167 2 2 2 + COEFF(1, -2, -1) = ---- - 1/700 x - 2/245 y z + 1/200 y - 1/50 z + 7000 + + + 1/175 z + 1/350 x z + 1/500 x - 1/175 y - 1/350 x y, COEFF(2, -2, -1) = + + 2 107 2 + 1/350 x - 1/175 x y + ---- + 1/175 z - 1/50 z - 2/245 y z + 1/175 x z + 7000 + + 2 + + 1/200 y + 1/250 x - 1/175 y, COEFF(-2, -1, -1) = - 1/500 x - 1/350 x y + + 2 2 2 + - 1/350 x z + 1/350 z + 1/245 y z + 1/700 x - 1/100 y - 1/100 z + + 229 2 + + 1/350 y + -----, COEFF(-1, -1, -1) = 1/245 y z - 1/100 y - 1/700 x y + 10500 + + 2 137 2 + - 1/100 z - 1/700 x z + ---- - 1/1400 x - 1/1000 x + 1/350 y + 1/350 z, + 5250 + + COEFF(0, -1, -1) = + + 2 289 2 2 + - 1/100 z + 1/350 y + ----- - 1/100 y + 1/350 z + 1/245 y z - 1/700 x , + 10500 + + 137 2 + COEFF(1, -1, -1) = 1/700 x z + 1/1000 x + 1/350 y + ---- - 1/1400 x + 5250 + + 2 2 + + 1/700 x y + 1/245 y z - 1/100 z + 1/350 z - 1/100 y , COEFF(2, -1, -1) + + 229 2 2 + = ----- + 1/500 x - 1/100 z + 1/245 y z + 1/350 y - 1/100 y + 1/350 z + 10500 + + 2 + + 1/350 x z + 1/350 x y + 1/700 x , + + COEFF(-2, 0, -1) = - 1/175 x y + 1/175 y + 2/245 y z, + + COEFF(-1, 0, -1) = 1/175 y - 1/350 x y + 2/245 y z, + + COEFF(0, 0, -1) = 2/245 y z + 1/175 y, + + COEFF(1, 0, -1) = 2/245 y z + 1/175 y + 1/350 x y, + + COEFF(2, 0, -1) = 1/175 x y + 2/245 y z + 1/175 y, COEFF(-2, 1, -1) = + + 229 2 + - ----- + 1/245 y z - 1/350 z - 1/700 x + 1/500 x + 1/350 x z - 1/350 x y + 10500 + + 2 2 137 2 + + 1/100 y + 1/100 z + 1/350 y, COEFF(-1, 1, -1) = - ---- + 1/100 z + 5250 + + 2 2 + + 1/350 y + 1/100 y - 1/700 x y + 1/245 y z + 1/1400 x - 1/350 z + + + 1/1000 x + 1/700 x z, COEFF(0, 1, -1) = + + 2 2 289 2 + 1/100 y + 1/100 z - ----- + 1/350 y + 1/245 y z + 1/700 x - 1/350 z, + 10500 + + 2 2 + COEFF(1, 1, -1) = 1/245 y z - 1/350 z + 1/350 y + 1/100 z + 1/100 y + + 137 2 + - ---- - 1/700 x z + 1/700 x y + 1/1400 x - 1/1000 x, COEFF(2, 1, -1) = + 5250 + + 2 229 + 1/350 x y + 1/100 z - ----- + 1/245 y z - 1/350 z - 1/500 x - 1/350 x z + 10500 + + 2 2 + + 1/350 y + 1/100 y - 1/700 x , COEFF(-2, 2, -1) = 1/175 x y - 1/175 y + + 2 2 107 + - 1/200 y + 1/250 x - 1/350 x - 1/175 z - ---- - 2/245 y z + 1/175 x z + 7000 + + 2 2 2 + + 1/50 z , COEFF(-1, 2, -1) = - 2/245 y z + 1/50 z - 1/200 y + 1/350 x y + + 2 167 + - 1/175 z + 1/700 x - 1/175 y - ---- + 1/350 x z + 1/500 x, + 7000 + + COEFF(0, 2, -1) = + + 187 2 2 2 + - ---- - 1/200 y + 1/50 z - 2/245 y z - 1/175 y - 1/175 z + 1/350 x , + 7000 + + 2 2 + COEFF(1, 2, -1) = - 1/200 y - 1/350 x y + 1/50 z - 1/350 x z - 1/175 y + + 167 2 + - ---- - 2/245 y z + 1/700 x - 1/175 z - 1/500 x, COEFF(2, 2, -1) = + 7000 + + 2 107 2 + - 1/175 x z - 1/175 y - 1/175 x y - 1/350 x - ---- + 1/50 z - 1/250 x + 7000 + + 2 + - 1/175 z - 1/200 y - 2/245 y z, + + COEFF(-2, -2, 0) = - 4/245 y z + 2/175 z - 2/175 x z, + + COEFF(-1, -2, 0) = - 4/245 y z + 2/175 z - 1/175 x z, + + COEFF(0, -2, 0) = 2/175 z - 4/245 y z, + + COEFF(1, -2, 0) = - 4/245 y z + 2/175 z + 1/175 x z, + + COEFF(2, -2, 0) = - 4/245 y z + 2/175 z + 2/175 x z, + + COEFF(-2, -1, 0) = 1/175 z - 1/175 x z + 2/245 y z, + + COEFF(-1, -1, 0) = 1/175 z + 2/245 y z - 1/350 x z, + + COEFF(0, -1, 0) = 1/175 z + 2/245 y z, + + COEFF(1, -1, 0) = 2/245 y z + 1/175 z + 1/350 x z, + + COEFF(2, -1, 0) = 1/175 z + 1/175 x z + 2/245 y z, + + COEFF(-2, 0, 0) = 4/245 y z, COEFF(-1, 0, 0) = 4/245 y z, + + COEFF(0, 0, 0) = 4/245 y z, COEFF(1, 0, 0) = 4/245 y z, + + COEFF(2, 0, 0) = 4/245 y z, + + COEFF(-2, 1, 0) = 2/245 y z - 1/175 z + 1/175 x z, + + COEFF(-1, 1, 0) = - 1/175 z + 1/350 x z + 2/245 y z, + + COEFF(0, 1, 0) = 2/245 y z - 1/175 z, + + COEFF(1, 1, 0) = 2/245 y z - 1/175 z - 1/350 x z, + + COEFF(2, 1, 0) = - 1/175 z + 2/245 y z - 1/175 x z, + + COEFF(-2, 2, 0) = - 2/175 z - 4/245 y z + 2/175 x z, + + COEFF(-1, 2, 0) = - 2/175 z - 4/245 y z + 1/175 x z, + + COEFF(0, 2, 0) = - 2/175 z - 4/245 y z, + + COEFF(1, 2, 0) = - 2/175 z - 1/175 x z - 4/245 y z, + + COEFF(2, 2, 0) = - 4/245 y z - 2/175 x z - 2/175 z, COEFF(-2, -2, 1) = + + 107 2 2 + - 1/175 x y - ---- - 1/350 x + 1/175 y + 1/250 x - 1/175 x z - 1/200 y + 7000 + + 2 + + 1/175 z + 1/50 z - 2/245 y z, COEFF(-1, -2, 1) = 1/175 y + 1/500 x + + 2 2 167 2 + + 1/700 x + 1/175 z + 1/50 z - ---- - 1/350 x z - 1/200 y - 1/350 x y + 7000 + + - 2/245 y z, COEFF(0, -2, 1) = + + 2 187 2 2 + 1/350 x + 1/175 y - ---- - 2/245 y z + 1/175 z - 1/200 y + 1/50 z , + 7000 + + 2 + COEFF(1, -2, 1) = 1/175 y - 1/500 x + 1/700 x + 1/350 x y + 1/175 z + + 167 2 2 + + 1/350 x z - 2/245 y z - ---- + 1/50 z - 1/200 y , COEFF(2, -2, 1) = + 7000 + + 107 2 2 + 1/175 y + 1/175 x y - ---- + 1/175 x z - 1/350 x - 1/250 x - 1/200 y + 7000 + + 2 2 + + 1/175 z + 1/50 z - 2/245 y z, COEFF(-2, -1, 1) = 1/350 x y + 1/100 y + + 2 229 2 + + 1/100 z + 1/500 x + 1/350 z - 1/350 y - ----- - 1/700 x - 1/350 x z + 10500 + + 2 + + 1/245 y z, COEFF(-1, -1, 1) = - 1/350 y + 1/700 x y + 1/100 y + + 2 2 137 + + 1/1400 x + 1/245 y z + 1/1000 x + 1/100 z - 1/700 x z - ---- + 1/350 z + 5250 + + , COEFF(0, -1, 1) = + + 289 2 2 2 + - ----- + 1/700 x - 1/350 y + 1/100 y + 1/245 y z + 1/100 z + 1/350 z, + 10500 + + 2 2 137 + COEFF(1, -1, 1) = 1/100 z + 1/1400 x - ---- + 1/245 y z + 1/350 z + 5250 + + 2 + - 1/700 x y - 1/350 y + 1/700 x z + 1/100 y - 1/1000 x, COEFF(2, -1, 1) + + 2 229 + = - 1/700 x - 1/350 x y + 1/350 x z - ----- - 1/350 y + 1/350 z + 10500 + + 2 2 + + 1/100 z + 1/245 y z + 1/100 y - 1/500 x, + + COEFF(-2, 0, 1) = 2/245 y z + 1/175 x y - 1/175 y, + + COEFF(-1, 0, 1) = 1/350 x y - 1/175 y + 2/245 y z, + + COEFF(0, 0, 1) = 2/245 y z - 1/175 y, + + COEFF(1, 0, 1) = - 1/350 x y + 2/245 y z - 1/175 y, + + COEFF(2, 0, 1) = - 1/175 y - 1/175 x y + 2/245 y z, COEFF(-2, 1, 1) = + + 2 229 2 + - 1/100 y - 1/500 x + 1/350 x y + 1/350 x z + 1/245 y z + ----- - 1/100 z + 10500 + + 2 2 + - 1/350 z + 1/700 x - 1/350 y, COEFF(-1, 1, 1) = 1/700 x y - 1/1400 x + + 2 + - 1/1000 x + 1/700 x z + 1/245 y z - 1/350 z - 1/350 y - 1/100 z + + 2 137 + - 1/100 y + ----, COEFF(0, 1, 1) = + 5250 + + 289 2 2 2 + ----- - 1/350 z - 1/700 x + 1/245 y z - 1/100 z - 1/350 y - 1/100 y , + 10500 + + 2 2 2 + COEFF(1, 1, 1) = - 1/350 z - 1/1400 x - 1/100 z - 1/350 y - 1/100 y + + 137 + - 1/700 x z - 1/700 x y + 1/245 y z + 1/1000 x + ----, COEFF(2, 1, 1) = + 5250 + + 2 2 + 1/245 y z - 1/100 z - 1/350 x z - 1/350 x y - 1/350 z + 1/700 x - 1/350 y + + 2 229 2 + - 1/100 y + ----- + 1/500 x, COEFF(-2, 2, 1) = - 1/175 x y - 1/50 z + 10500 + + 2 2 107 + + 1/200 y - 2/245 y z - 1/175 z + 1/175 x z + 1/350 x + 1/175 y + ---- + 7000 + + 167 + - 1/250 x, COEFF(-1, 2, 1) = 1/350 x z + ---- - 1/500 x - 1/175 z + 7000 + + 2 2 2 + - 1/700 x - 2/245 y z - 1/350 x y - 1/50 z + 1/175 y + 1/200 y , + + COEFF(0, 2, 1) = + + 2 2 187 2 + 1/200 y + 1/175 y - 1/50 z + ---- - 1/175 z - 2/245 y z - 1/350 x , + 7000 + + 2 2 2 167 + COEFF(1, 2, 1) = - 1/700 x - 1/50 z + 1/200 y + ---- + 1/500 x + 7000 + + + 1/350 x y - 2/245 y z - 1/175 z + 1/175 y - 1/350 x z, COEFF(2, 2, 1) = + + 2 107 2 2 + - 1/50 z + ---- + 1/200 y + 1/350 x - 2/245 y z - 1/175 x z + 1/250 x + 7000 + + + 1/175 x y + 1/175 y - 1/175 z, COEFF(-2, -2, 2) = 4/245 y z + 2/175 y + + 137 2 2 + + ---- - 1/100 y + 1/125 x - 2/175 x y - 2/175 z + 2/175 x z - 1/175 x + 5250 + + 2 47 2 2 + - 1/100 z , COEFF(-1, -2, 2) = ---- + 1/250 x - 1/100 y + 1/350 x + 5250 + + 2 + + 4/245 y z + 1/175 x z - 1/100 z + 2/175 y - 1/175 x y - 2/175 z, + + COEFF(0, -2, 2) = + + 2 17 2 2 + 1/175 x + ---- - 1/100 y - 1/100 z - 2/175 z + 4/245 y z + 2/175 y, + 5250 + + 2 2 + COEFF(1, -2, 2) = - 2/175 z - 1/250 x + 1/175 x y + 1/350 x - 1/100 z + + 2 47 + - 1/100 y + ---- - 1/175 x z + 4/245 y z + 2/175 y, COEFF(2, -2, 2) = + 5250 + + 2 2 2 + 2/175 y - 1/125 x - 1/100 y - 1/100 z - 2/175 z - 1/175 x + 4/245 y z + + 137 107 + + 2/175 x y + ---- - 2/175 x z, COEFF(-2, -1, 2) = - ---- - 2/245 y z + 5250 7000 + + 2 2 2 + - 1/175 z - 1/350 x + 1/50 y - 1/200 z + 1/250 x + 1/175 x z - 1/175 y + + 2 2 + + 1/175 x y, COEFF(-1, -1, 2) = 1/500 x + 1/350 x z - 1/200 z + 1/50 y + + 2 167 + - 1/175 y + 1/700 x - 1/175 z + 1/350 x y - 2/245 y z - ----, + 7000 + + COEFF(0, -1, 2) = + + 2 2 2 187 + 1/350 x - 1/200 z - 1/175 y + 1/50 y - 1/175 z - ---- - 2/245 y z, + 7000 + + 2 + COEFF(1, -1, 2) = - 1/175 y - 1/350 x y - 1/500 x - 1/350 x z - 1/200 z + + 2 2 167 + + 1/700 x - 1/175 z - 2/245 y z + 1/50 y - ----, COEFF(2, -1, 2) = + 7000 + + 2 2 2 107 + - 1/200 z + 1/50 y - 1/350 x - 1/175 x z - 1/175 z - ---- - 2/245 y z + 7000 + + - 1/175 x y - 1/250 x - 1/175 y, + + COEFF(-2, 0, 2) = 2/175 x y - 4/245 y z - 2/175 y, + + COEFF(-1, 0, 2) = 1/175 x y - 4/245 y z - 2/175 y, + + COEFF(0, 0, 2) = - 2/175 y - 4/245 y z, + + COEFF(1, 0, 2) = - 4/245 y z - 2/175 y - 1/175 x y, + + COEFF(2, 0, 2) = - 4/245 y z - 2/175 x y - 2/175 y, COEFF(-2, 1, 2) = + + 2 107 + - 1/175 x z - 2/245 y z - 1/50 y - 1/250 x + ---- - 1/175 y + 1/175 z + 7000 + + 2 2 + + 1/200 z + 1/350 x + 1/175 x y, COEFF(-1, 1, 2) = - 1/500 x - 2/245 y z + + 167 2 2 2 + + ---- - 1/700 x + 1/350 x y + 1/200 z + 1/175 z - 1/350 x z - 1/50 y + 7000 + + - 1/175 y, COEFF(0, 1, 2) = + + 2 2 2 187 + - 1/175 y - 2/245 y z - 1/50 y + 1/175 z + 1/200 z - 1/350 x + ----, + 7000 + + 2 2 + COEFF(1, 1, 2) = - 2/245 y z + 1/500 x - 1/175 y + 1/200 z - 1/50 y + + 167 2 + + ---- - 1/700 x + 1/175 z - 1/350 x y + 1/350 x z, COEFF(2, 1, 2) = + 7000 + + 2 107 + - 2/245 y z + 1/175 z - 1/175 x y - 1/175 y + 1/200 z + 1/250 x + ---- + 7000 + + 2 2 + - 1/50 y + 1/175 x z + 1/350 x , COEFF(-2, 2, 2) = - 2/175 x y + + 2 137 + + 4/245 y z - 2/175 x z + 2/175 y + 1/100 y + 2/175 z - ---- - 1/125 x + 5250 + + 2 2 2 2 + + 1/100 z + 1/175 x , COEFF(-1, 2, 2) = - 1/175 x y - 1/350 x + 1/100 y + + 2 47 + + 2/175 y + 4/245 y z - 1/250 x - 1/175 x z + 2/175 z + 1/100 z - ----, + 5250 + + COEFF(0, 2, 2) = + + 17 2 2 2 + - ---- - 1/175 x + 1/100 y + 2/175 y + 1/100 z + 2/175 z + 4/245 y z, + 5250 + + 47 2 2 + COEFF(1, 2, 2) = 1/175 x y - ---- + 1/100 y + 1/175 x z - 1/350 x + 5250 + + 2 + + 1/100 z + 4/245 y z + 1/250 x + 2/175 z + 2/175 y, COEFF(2, 2, 2) = + + 137 2 2 + 2/175 z - ---- + 1/100 y + 1/125 x + 2/175 x z + 1/175 x + 2/175 y + 5250 + + 2 + + 2/175 x y + 4/245 y z + 1/100 z ] + +> print_coeffs__lc_of_data(%, "coeffs_dyz->coeff_", "fp", +> "3d.coeffs/3d.cube.order4.smooth0/coeffs-dyz.compute.c"); +bytes used=2390225452, alloc=14677376, time=388.13 +bytes used=2391225608, alloc=14677376, time=388.21 +bytes used=2392225792, alloc=14677376, time=388.29 +bytes used=2393226252, alloc=14677376, time=388.42 +bytes used=2394226776, alloc=14677376, time=389.04 +bytes used=2395226948, alloc=14677376, time=389.66 +bytes used=2396227512, alloc=14677376, time=390.27 +bytes used=2397227804, alloc=14677376, time=390.88 +bytes used=2398228032, alloc=14677376, time=391.49 +bytes used=2399228384, alloc=14677376, time=391.65 +bytes used=2400228616, alloc=14677376, time=391.74 +bytes used=2401239544, alloc=14677376, time=391.82 +bytes used=2402285960, alloc=14677376, time=391.90 +bytes used=2403288548, alloc=14677376, time=391.98 +bytes used=2404288856, alloc=14677376, time=392.07 +bytes used=2405289028, alloc=14677376, time=392.40 +bytes used=2406289272, alloc=14677376, time=393.65 +bytes used=2407289472, alloc=14677376, time=394.07 +bytes used=2408289644, alloc=14677376, time=394.30 +bytes used=2409289924, alloc=14677376, time=394.37 +bytes used=2410290088, alloc=14677376, time=394.44 +bytes used=2411290336, alloc=14677376, time=394.50 +bytes used=2412290840, alloc=14677376, time=394.57 +bytes used=2413291344, alloc=14677376, time=394.64 +bytes used=2414291684, alloc=14677376, time=394.71 +bytes used=2415291904, alloc=14677376, time=394.79 +bytes used=2416292192, alloc=14677376, time=394.88 +bytes used=2417292416, alloc=14677376, time=394.98 +bytes used=2418292580, alloc=14677376, time=395.09 +bytes used=2419293268, alloc=14677376, time=395.21 +bytes used=2420303760, alloc=14677376, time=395.34 +bytes used=2421303968, alloc=14677376, time=395.47 +bytes used=2422307784, alloc=14677376, time=395.59 +bytes used=2423307968, alloc=14677376, time=395.70 +bytes used=2424308168, alloc=14677376, time=395.78 +bytes used=2425308452, alloc=14677376, time=397.29 +bytes used=2426308748, alloc=14677376, time=398.08 +bytes used=2427308924, alloc=14677376, time=398.56 +bytes used=2428309364, alloc=14677376, time=398.65 +bytes used=2429309648, alloc=14677376, time=398.72 +bytes used=2430310080, alloc=14677376, time=398.80 +bytes used=2431310344, alloc=14677376, time=398.87 +bytes used=2432310656, alloc=14677376, time=398.94 +bytes used=2433310884, alloc=14677376, time=399.01 +bytes used=2434311040, alloc=14677376, time=399.13 +bytes used=2435311228, alloc=14677376, time=399.26 +bytes used=2436315480, alloc=14677376, time=399.39 +bytes used=2437315656, alloc=14677376, time=399.51 +bytes used=2438315916, alloc=14677376, time=400.35 +bytes used=2439316500, alloc=14677376, time=401.71 +bytes used=2440316760, alloc=14677376, time=402.21 +bytes used=2441316988, alloc=14677376, time=402.59 +bytes used=2442317272, alloc=14677376, time=402.67 +bytes used=2443317448, alloc=14677376, time=402.74 +bytes used=2444318256, alloc=14677376, time=402.93 +bytes used=2445318416, alloc=14677376, time=403.96 +bytes used=2446318632, alloc=14677376, time=405.33 +bytes used=2447318812, alloc=14677376, time=405.90 +bytes used=2448319032, alloc=14677376, time=406.00 +bytes used=2449319276, alloc=14677376, time=406.07 +bytes used=2450319460, alloc=14677376, time=406.29 +bytes used=2451319696, alloc=14677376, time=407.94 +bytes used=2452319852, alloc=14677376, time=408.85 +bytes used=2453320096, alloc=14677376, time=409.39 +bytes used=2454320692, alloc=14677376, time=409.48 +bytes used=2455321056, alloc=14677376, time=409.62 +> +# d^2/dz^2 +> simplify( diff(interp_3d_cube_order4_smooth0,z,z) ); +bytes used=2456321320, alloc=14677376, time=409.75 +bytes used=2457439864, alloc=14677376, time=409.84 +bytes used=2458440080, alloc=14677376, time=409.92 +bytes used=2459440252, alloc=14677376, time=410.00 +bytes used=2460440724, alloc=14677376, time=410.08 +bytes used=2461440860, alloc=14677376, time=410.16 +bytes used=2462441164, alloc=14677376, time=410.24 +bytes used=2463441372, alloc=14677376, time=410.33 +bytes used=2464442072, alloc=14677376, time=410.41 +bytes used=2465442368, alloc=14677376, time=410.49 + 256 +- 1/10 DATA(0, -2, 0) + ---- DATA(-2, -2, 1) - 1/50 y z DATA(1, -1, -1) + 3675 + + 211 + + ---- DATA(1, -2, 1) - 1/50 y z DATA(-1, -1, -1) + 4/75 DATA(0, -2, 1) + 3675 + + - 9/98 DATA(1, -2, 0) + 4/75 DATA(0, 2, -1) + 4/75 DATA(2, 0, -1) + + 211 311 + + ---- DATA(-1, -2, 1) + ----- DATA(0, -1, 2) + 1/50 y z DATA(1, 1, -1) + 3675 14700 + + + 1/50 y z DATA(-1, 1, -1) - 1/50 y z DATA(-1, 1, 1) + + 211 33 256 + + ---- DATA(-2, -1, 1) - --- DATA(2, -2, 0) + ---- DATA(2, -2, 1) + 3675 490 3675 + + + 1/350 x DATA(-1, -2, -1) + 4/75 DATA(-2, 0, 1) - 9/98 DATA(-2, -1, 0) + + - 1/300 DATA(0, 2, 2) + 1/175 x DATA(-2, 1, 1) - 1/350 x DATA(1, 1, 1) + + 311 + + ----- DATA(1, 0, 2) + 1/350 x DATA(-1, 2, -1) - 1/175 x DATA(2, 1, -1) + 14700 + + - 1/175 x DATA(2, 2, -1) - 1/350 x DATA(1, 2, -1) + + 151 + - 1/175 x DATA(-1, -1, 2) - 1/350 x DATA(1, 2, 1) + ---- DATA(-1, 0, -1) + 3675 + + + 2/175 x DATA(2, 2, -2) - 1/175 x DATA(2, -1, 1) + 1/350 x DATA(-1, 2, 1) + + + 1/175 x DATA(-2, -2, -1) + 1/175 x DATA(1, 1, -2) + + + 1/175 x DATA(1, 2, -2) - 2/175 x DATA(-2, 2, -2) + + 211 13 + + 1/175 x DATA(-2, 2, 1) + ---- DATA(2, -1, -1) - -- DATA(0, 0, 0) + 3675 98 + + 61 61 57 + - --- DATA(1, 0, 0) - --- DATA(0, 1, 0) - --- DATA(1, 1, 0) + 490 490 490 + + 136 151 151 + + ---- DATA(0, 0, 1) + ---- DATA(1, 0, 1) + ---- DATA(0, 1, 1) + 3675 3675 3675 + + 166 + + ---- DATA(1, 1, 1) + 1/25 x z DATA(-2, -1, 1) + 1/25 x z DATA(2, -1, -1) + 3675 + + - 1/25 x z DATA(2, -2, 1) + 1/25 x z DATA(-2, -2, 1) + + - 1/50 x z DATA(1, -2, 1) + 1/50 x z DATA(-1, -2, 1) + + + 1/25 x z DATA(2, 2, -1) + 1/25 x z DATA(2, 1, -1) + + - 1/50 x z DATA(-1, 2, -1) - 1/50 x z DATA(1, 1, 1) + + + 1/25 x z DATA(-2, 1, 1) + 1/100 x z DATA(-1, 1, -2) + + - 1/50 x z DATA(2, 1, -2) - 1/25 x z DATA(2, 2, 1) + + + 1/100 x z DATA(-1, 2, -2) - 1/100 x z DATA(1, 1, -2) + + + 1/25 x z DATA(-2, 2, 1) + 1/50 x z DATA(-2, 2, -2) + + - 1/50 x z DATA(-1, -2, -1) - 1/100 x z DATA(1, 2, -2) + + + 1/50 x z DATA(-2, 1, -2) + 1/50 x z DATA(1, 2, -1) + + + 1/50 x z DATA(-1, 2, 1) - 1/50 x z DATA(2, 2, -2) + + - 1/50 x z DATA(1, 2, 1) - 1/100 x z DATA(-1, -1, 2) + + 256 + - 1/25 x z DATA(2, 1, 1) - 1/25 x z DATA(2, -1, 1) + ---- DATA(2, 2, -1) + 3675 + + + 1/350 x y DATA(1, 1, 2) - 1/175 x y DATA(2, -1, 2) + + - 1/25 x z DATA(-2, -2, -1) - 1/350 x y DATA(-2, -1, -1) + + - 1/350 x y DATA(1, -1, 2) - 1/350 x y DATA(-1, 1, 2) + + + 1/175 x y DATA(2, -2, -1) + 1/175 x y DATA(2, 1, 2) + + + 1/350 x y DATA(-2, 1, -1) + 1/350 x y DATA(1, -2, -1) + + + 2/175 x y DATA(-2, -2, 2) + 1/700 x y DATA(1, -1, -1) + + - 1/700 x y DATA(-1, -1, -1) + 1/175 x y DATA(1, 2, 2) + + + 2/175 x y DATA(2, 2, 2) + 1/175 x y DATA(-2, 2, -1) + + - 2/175 x y DATA(2, -2, 2) - 1/175 x y DATA(-1, 2, 2) + + - 1/700 x y DATA(-1, -1, 1) + 1/700 x y DATA(1, -1, 1) + + - 1/700 x y DATA(1, 1, -1) + 1/700 x y DATA(-1, 1, -1) + + + 1/700 x y DATA(-1, 1, 1) - 2/175 x y DATA(-2, 2, 2) + + + 2/175 x y DATA(-2, -2, -2) - 1/175 x y DATA(-2, 1, 2) + + - 2/175 x y DATA(2, -2, -2) + 1/175 x y DATA(-2, -1, -2) + + + 1/175 x y DATA(-2, -1, 2) - 1/350 x y DATA(1, -1, -2) + + - 1/175 x y DATA(2, -1, -2) + 1/350 x y DATA(-1, -1, -2) + + + 1/175 x y DATA(-1, -2, -2) - 1/175 x y DATA(1, -2, -2) + + 2 2 + + 2/245 x DATA(2, 2, 2) - 1/245 x DATA(1, 2, 2) + 2/175 x DATA(2, 1, 2) + + + 2/175 x DATA(2, -2, 2) + 1/175 x DATA(-2, 2, -1) + + 2 2 + + 2/245 x DATA(2, -2, 2) - 1/245 x DATA(-2, 2, -1) + + - 1/175 x DATA(-1, 2, 2) - 1/175 x DATA(-1, -2, 2) + + + 2/175 x DATA(2, -1, 2) + 1/175 x DATA(1, 1, 2) - 1/175 x DATA(-1, 1, 2) + + + 1/175 x DATA(1, -1, 2) - 1/175 x DATA(2, -2, -1) + + + 1/175 x DATA(-2, -1, -1) - 2/175 x DATA(-2, -2, 2) + + - 1/350 x DATA(1, -2, -1) + 1/175 x DATA(-2, 1, -1) + + 211 + + 1/175 x DATA(1, -2, 2) + ---- DATA(1, 2, -1) + 1/175 x DATA(1, -2, -2) + 3675 + + - 1/175 x DATA(-1, -1, -2) - 1/350 x DATA(1, -1, 1) + + + 2/175 x DATA(2, 2, 2) + 1/175 x DATA(1, 2, 2) + 1/350 x DATA(-1, -1, -1) + + - 1/350 x DATA(1, -1, -1) + 1/350 x DATA(-1, 1, 1) + + + 1/350 x DATA(-1, 1, -1) - 1/350 x DATA(1, 1, -1) + + - 1/175 x DATA(-1, -2, -2) - 2/175 x DATA(-2, -2, -2) + + - 2/175 x DATA(-2, 1, 2) - 2/175 x DATA(-2, -1, 2) + + - 2/175 x DATA(-2, -1, -2) + 1/175 x DATA(1, -1, -2) + + 169 + + 2/175 x DATA(2, -2, -2) - 2/175 x DATA(-2, 2, 2) - ----- DATA(-2, 1, -2) + 14700 + + 211 + + 2/175 x DATA(2, -1, -2) + 1/350 x DATA(-1, -1, 1) + ---- DATA(-1, 2, -1) + 3675 + + 2 2 + - 1/245 x DATA(-2, -2, 1) - 1/245 x DATA(2, -2, 1) + + 2 2 + + 1/490 x DATA(1, -2, 1) + 1/490 x DATA(1, 1, 1) + + 2 2 + + 1/490 x DATA(-1, 2, -1) - 1/245 x DATA(2, 1, -1) + + 2 2 + - 1/245 x DATA(2, -1, -1) + 1/490 x DATA(-1, -2, 1) + + 2 2 + - 1/245 x DATA(-2, -1, 1) + 2/245 x DATA(2, 1, -2) + + 2 2 + - 1/245 x DATA(1, 1, -2) - 1/245 x DATA(-1, 2, -2) + + 2 2 + - 1/245 x DATA(2, 2, 1) - 1/245 x DATA(2, 2, -1) + + 2 2 + + 2/245 x DATA(-2, 1, -2) - 1/245 x DATA(1, 2, -2) + + 2 2 + + 1/490 x DATA(-1, -2, -1) + 2/245 x DATA(-2, 2, -2) + + 2 2 + + 1/490 x DATA(1, 2, -1) - 1/245 x DATA(-1, 1, -2) + + 2 2 + - 1/245 x DATA(-2, 1, 1) - 1/245 x DATA(1, 1, 2) + + 2 2 + - 1/245 x DATA(-1, 1, 2) - 1/245 x DATA(1, -1, 2) + + 2 2 + - 1/245 x DATA(2, -2, -1) - 1/245 x DATA(-2, -1, -1) + + 2 2 + - 1/245 x DATA(2, 1, 1) - 1/245 x DATA(-1, -1, 2) + + 2 2 + + 1/490 x DATA(1, 2, 1) + 2/245 x DATA(2, 2, -2) + + 2 2 + - 1/245 x DATA(2, -1, 1) + 1/490 x DATA(-1, 2, 1) + + 2 2 + - 1/245 x DATA(-2, -2, -1) - 1/245 x DATA(-1, -2, 2) + + 2 2 + - 1/245 x DATA(1, -2, 2) - 1/245 x DATA(-2, 2, 1) + + 2 2 + + 1/490 x DATA(-1, -1, 1) + 2/245 x DATA(-2, -2, -2) + + 2 2 + + 1/490 x DATA(1, -1, -1) + 2/245 x DATA(-2, -2, 2) + + 2 2 + + 1/490 x DATA(1, -2, -1) - 1/245 x DATA(-2, 1, -1) + + 2 2 + + 2/245 x DATA(2, 1, 2) - 1/245 x DATA(-1, 2, 2) + + 2 2 + + 2/245 x DATA(2, -1, 2) + 1/490 x DATA(1, -1, 1) + + 2 2 + + 2/245 x DATA(-2, 2, 2) + 2/245 x DATA(-2, 1, 2) + + 2 2 + + 2/245 x DATA(-2, -1, 2) + 2/245 x DATA(-2, -1, -2) + + 2 2 + - 1/245 x DATA(1, -1, -2) + 1/490 x DATA(-1, -1, -1) + + 2 2 + + 1/490 x DATA(-1, 1, 1) + 1/490 x DATA(-1, 1, -1) + + 2 2 + + 1/490 x DATA(1, 1, -1) + 2/245 x DATA(2, -2, -2) + + 2 2 + - 1/245 x DATA(1, -2, -2) - 1/245 x DATA(-1, -2, -2) + + 2 2 + - 1/245 x DATA(-1, -1, -2) + 2/245 x DATA(2, -1, -2) + + 211 + + ---- DATA(2, 1, -1) - 1/175 x DATA(2, -2, 1) - 1/175 x DATA(2, -1, -1) + 3675 + + - 2/175 x DATA(-2, 1, -2) + 1/175 x DATA(-2, -1, 1) + + + 2/175 x DATA(2, 1, -2) - 1/175 x DATA(-1, 1, -2) + + + 1/350 x DATA(-1, -2, 1) - 1/350 x DATA(1, -2, 1) + + + 1/175 x DATA(-2, -2, 1) - 1/175 x DATA(-1, 2, -2) + + - 1/175 x DATA(2, 2, 1) - 1/175 x DATA(2, 1, 1) + 1/175 y DATA(2, -2, 1) + + + 1/175 y DATA(1, -2, 1) - 1/350 y DATA(1, 1, 1) - 1/175 y DATA(-1, 2, -1) + + + 1/175 y DATA(-1, -2, 1) + 1/175 y DATA(2, 1, -2) + + + 1/175 y DATA(-1, 1, -2) + 1/350 y DATA(-2, -1, 1) + + + 1/350 y DATA(2, -1, -1) + 1/175 y DATA(-2, -2, 1) + + - 1/350 y DATA(-2, 1, 1) - 1/350 y DATA(2, 1, 1) - 1/175 y DATA(-1, -1, 2) + + - 1/175 y DATA(1, 2, 1) - 1/175 y DATA(-2, 2, 1) + 1/175 y DATA(1, 1, -2) + + + 2/175 y DATA(-1, 2, -2) + 2/175 y DATA(1, 2, -2) + + + 2/175 y DATA(-2, 2, -2) + 1/175 y DATA(-1, -2, -1) + + - 1/350 y DATA(2, 1, -1) - 1/175 y DATA(2, 2, -1) - 1/175 y DATA(1, 2, -1) + + + 1/175 y DATA(-2, 1, -2) + 1/175 y DATA(2, 1, 2) + 2/175 y DATA(-1, 2, 2) + + - 1/350 y DATA(-2, 1, -1) - 1/175 y DATA(1, -1, 2) + + + 1/350 y DATA(-2, -1, -1) - 2/175 y DATA(-2, -2, 2) + + + 1/175 y DATA(2, -2, -1) - 2/175 y DATA(1, -2, 2) + 1/175 y DATA(1, 1, 2) + + + 1/175 y DATA(-1, 1, 2) - 1/175 y DATA(2, -1, 2) + 2/175 y DATA(2, 2, -2) + + - 1/175 y DATA(-1, 2, 1) + 1/175 y DATA(-2, -2, -1) + + - 2/175 y DATA(-1, -2, 2) + 1/350 y DATA(2, -1, 1) - 1/175 y DATA(2, 2, 1) + + - 1/350 y DATA(-1, 1, -1) + 1/350 y DATA(-1, -1, -1) + + + 1/350 y DATA(1, -1, -1) - 1/350 y DATA(-1, 1, 1) + + - 2/175 y DATA(2, -2, 2) - 1/175 y DATA(-2, 2, -1) + 2/175 y DATA(2, 2, 2) + + + 2/175 y DATA(1, 2, 2) + 1/175 y DATA(1, -2, -1) - 1/350 y DATA(1, 1, -1) + + + 1/350 y DATA(-1, -1, 1) + 2/175 y DATA(-2, 2, 2) + + + 1/175 y DATA(-2, 1, 2) - 2/175 y DATA(-2, -2, -2) + + + 1/350 y DATA(1, -1, 1) - 1/175 y DATA(-2, -1, 2) - 1/10 DATA(2, 0, 0) + + 311 211 + + ----- DATA(0, 1, -2) + ---- DATA(-2, 1, 1) - 9/98 DATA(2, -1, 0) + 14700 3675 + + 191 + + ----- DATA(-1, 1, -2) - 1/50 x z DATA(2, -1, -2) + 14700 + + + 1/100 x z DATA(-1, -1, -2) + 1/100 x z DATA(-1, -2, -2) + + + 1/100 x z DATA(1, -2, 2) - 1/100 x z DATA(-1, -2, 2) + + - 1/50 x z DATA(-2, 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DATA(-2, 2, 2) + 14700 + + 2 2 + + 1/50 z DATA(-2, 1, 2) + 1/50 z DATA(-2, -1, 2) + + 2 2 + + 1/50 z DATA(-2, -1, -2) + 1/50 z DATA(1, -1, -2) + + 2 2 + + 1/50 z DATA(2, -2, -2) + 1/50 z DATA(1, -2, -2) + + 2 2 + + 1/50 z DATA(-1, -2, -2) + 1/50 z DATA(-1, -1, -2) + + 2 + + 1/50 z DATA(2, -1, -2) - 1/50 z DATA(2, -1, -2) + + - 1/50 z DATA(-1, -1, -2) - 1/50 z DATA(2, -2, -2) + + 2 + - 1/50 z DATA(1, -2, -2) - 2/25 z DATA(2, -2, -1) + + 2 2 + - 2/25 z DATA(-2, -1, -1) + 1/50 z DATA(-2, -2, 2) + + 2 2 + + 1/50 z DATA(1, -1, 2) + 1/50 z DATA(1, 2, 2) + + 2 2 + - 2/25 z DATA(-1, -1, -1) - 2/25 z DATA(1, -1, -1) + + 2 2 2 + - 2/25 z DATA(-1, 1, 1) + 1/50 z DATA(-2, 1, -2) - 2/25 z DATA(1, 1, 1) + + 2 2 + - 2/25 z DATA(-1, 2, -1) - 2/25 z DATA(2, 1, -1) + + 2 2 2 + - 2/25 z DATA(-2, 1, 1) + 1/50 z DATA(2, 1, 2) + 1/50 z DATA(2, -2, 2) + + 2 2 2 + - 2/25 z DATA(-2, 2, -1) + 1/50 z DATA(2, 2, 2) + 1/50 z DATA(-1, 2, 2) + + 2 2 + - 2/25 z DATA(1, -2, -1) - 2/25 z DATA(-2, 1, -1) + + 2 2 + + 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DATA(1, -2, 1) - 1/10 DATA(0, 2, 0) + 1/25 z DATA(-1, 2, -1) + + + 1/25 z DATA(1, 2, -1) + 1/25 z DATA(2, 1, -1) - 1/50 z DATA(2, 1, -2) + + - 1/25 z DATA(-2, 1, 1) - 1/25 z DATA(1, 1, 1) - 1/50 z DATA(-1, 1, -2) + + - 1/25 z DATA(2, -2, 1) + 1/25 z DATA(2, 2, -1) - 1/25 z DATA(1, 2, 1) + + - 1/50 z DATA(2, 2, -2) - 1/25 z DATA(2, -1, 1) - 1/25 z DATA(2, 2, 1) + + - 1/25 z DATA(2, 1, 1) - 1/50 z DATA(1, 1, -2) - 1/50 z DATA(-1, 2, -2) + + - 1/50 z DATA(-2, 1, -2) + 1/25 z DATA(-1, -2, -1) + + - 1/50 z DATA(-2, 2, -2) - 1/25 z DATA(-2, 2, 1) - 1/50 z DATA(1, 2, -2) + + + 1/50 z DATA(-1, 1, 2) - 1/25 z DATA(-1, 2, 1) + 1/25 z DATA(-2, -2, -1) + + + 1/50 z DATA(-1, -2, 2) + 1/50 z DATA(-1, -1, 2) + 1/50 z DATA(2, 1, 2) + + + 1/50 z DATA(-1, 2, 2) + 1/50 z DATA(1, -1, 2) + 1/25 z DATA(2, -2, -1) + + + 1/25 z DATA(-2, -1, -1) + 1/50 z DATA(-2, -2, 2) + + + 1/25 z DATA(1, -2, -1) + 1/50 z DATA(1, -2, 2) + 1/50 z DATA(2, -1, 2) + + + 1/50 z DATA(1, 1, 2) + 1/25 z DATA(-1, 1, -1) + 1/25 z DATA(1, 1, -1) + + - 1/25 z DATA(-1, 1, 1) + 1/50 z DATA(2, 2, 2) + 1/50 z DATA(1, 2, 2) + + + 1/25 z DATA(-1, -1, -1) + 1/25 z DATA(-2, 1, -1) + + - 1/50 z DATA(-2, -1, -2) + 1/50 z DATA(-2, 1, 2) + 1/50 z DATA(-2, -1, 2) + + - 1/25 z DATA(1, -1, 1) - 1/50 z DATA(-2, -2, -2) + 1/50 z DATA(-2, 2, 2) + + - 1/25 z DATA(-1, -1, 1) + 1/25 z DATA(1, -1, -1) - 1/50 z DATA(1, -1, -2) + + - 9/98 DATA(-1, 2, 0) + 1/100 x z DATA(1, 1, 2) + 1/50 x z DATA(2, -1, 2) + + 2 2 + - 1/245 y DATA(1, 1, -2) + 2/245 y DATA(-1, 2, -2) + + 2 + - 1/50 z DATA(-1, -2, -2) + 1/490 y DATA(-2, -1, -1) + + 2 2 + + 2/245 y DATA(-1, -2, 2) + 2/245 y DATA(1, -2, 2) + + 2 2 + - 1/245 y DATA(2, -1, 2) - 1/245 y DATA(1, 1, 2) + + 2 2 + - 1/245 y DATA(-2, 2, -1) + 2/245 y DATA(-2, -2, 2) + + 2 2 + - 1/245 y DATA(1, -2, -1) + 1/490 y DATA(-2, 1, -1) + + 2 2 + - 1/245 y DATA(-1, 1, 2) - 1/245 y DATA(1, -1, 2) + + 2 2 + - 1/245 y DATA(2, -2, -1) + 1/490 y DATA(-1, 1, -1) + + 2 2 + + 1/490 y DATA(1, 1, -1) + 2/245 y DATA(2, 2, 2) + + 2 2 + + 2/245 y DATA(1, 2, 2) + 1/490 y DATA(-1, -1, -1) + + 2 2 + - 1/245 y DATA(2, 1, 2) + 2/245 y DATA(-1, 2, 2) + + 2 2 + + 2/245 y DATA(2, -2, 2) - 1/245 y DATA(-2, 1, 2) + + 2 2 + - 1/245 y DATA(-2, -1, 2) - 1/245 y DATA(-2, -1, -2) + + 2 2 + + 2/245 y DATA(-2, -2, -2) + 2/245 y DATA(-2, 2, 2) + + 2 2 + + 1/490 y DATA(1, -1, 1) + 1/490 y DATA(-1, -1, 1) + + 2 2 + + 1/490 y DATA(1, -1, -1) + 1/490 y DATA(-1, 1, 1) + + 2 2 + - 1/245 y DATA(-1, -1, -2) - 1/245 y DATA(2, -1, -2) + + 2 2 + - 1/245 y DATA(1, -1, -2) + 2/245 y DATA(2, -2, -2) + + 2 2 + + 2/245 y DATA(1, -2, -2) + 2/245 y DATA(-1, -2, -2) + + 2 2 + - 9/98 DATA(2, 1, 0) - 1/245 y DATA(-2, -2, 1) - 1/245 y DATA(2, -2, 1) + + 2 2 + + 1/490 y DATA(2, -1, -1) - 1/245 y DATA(1, -2, 1) + + 191 2 + + ----- DATA(1, 1, -2) + 2/245 y DATA(-2, 2, -2) + 14700 + + 2 2 + - 1/245 y DATA(-2, 1, -2) + 2/245 y DATA(1, 2, -2) + + 2 2 + - 1/245 y DATA(-1, -2, -1) - 1/245 y DATA(-1, 2, -1) + + 2 2 + - 1/245 y DATA(2, 2, -1) - 1/245 y DATA(1, 2, -1) + + 2 2 + + 1/490 y DATA(2, 1, -1) - 1/245 y DATA(-1, 1, -2) + + 2 2 + + 1/490 y DATA(-2, 1, 1) + 1/490 y DATA(1, 1, 1) + + 2 2 + - 1/245 y DATA(-1, -2, 1) + 1/490 y DATA(-2, -1, 1) + + 2 2 + - 1/245 y DATA(2, 1, -2) - 1/245 y DATA(-2, 2, 1) + + 2 2 + + 1/490 y DATA(2, -1, 1) - 1/245 y DATA(-2, -2, -1) + + 2 2 + - 1/245 y DATA(2, 2, 1) + 1/490 y DATA(2, 1, 1) + + 2 2 + - 1/245 y DATA(-1, -1, 2) - 1/245 y DATA(-1, 2, 1) + + - 1/175 y DATA(-2, -1, -2) - 2/175 y DATA(1, -2, -2) + + - 2/175 y DATA(-1, -2, -2) - 1/175 y DATA(1, -1, -2) + + 2 2 + - 1/245 y DATA(1, 2, 1) + 2/245 y DATA(2, 2, -2) + + - 2/175 y DATA(2, -2, -2) - 1/175 y DATA(-1, -1, -2) + + 169 529 + - 1/175 y DATA(2, -1, -2) - ----- DATA(-1, 2, -2) - ----- DATA(-2, 2, -2) + 14700 14700 + + 33 256 + - --- DATA(2, 2, 0) - 1/300 DATA(0, 2, -2) + ---- DATA(-2, 2, 1) + 490 3675 + + 211 + + ---- DATA(2, -1, 1) - 1/300 DATA(2, 0, -2) - 1/10 DATA(-2, 0, 0) + 3675 + + 169 211 + + 4/75 DATA(2, 0, 1) - ----- DATA(1, 2, -2) + ---- DATA(-1, -2, -1) + 14700 3675 + + 211 256 529 + + ---- DATA(-1, 2, 1) + ---- DATA(-2, -2, -1) - ----- DATA(2, 2, -2) + 3675 3675 14700 + + 211 211 + + ---- DATA(2, 1, 1) + ---- DATA(1, 2, 1) + 4/75 DATA(0, 2, 1) + 3675 3675 + + 191 256 + + 4/75 DATA(0, -2, -1) + ----- DATA(-1, -1, 2) + ---- DATA(2, 2, 1) + 14700 3675 + + 529 211 + - 9/98 DATA(-2, 1, 0) - ----- DATA(-2, -2, 2) + ---- DATA(1, -2, -1) + 14700 3675 + + 191 431 + + ----- DATA(1, -1, 2) - 1/300 DATA(2, 0, 2) + ----- DATA(0, 0, 2) + 14700 14700 + + 311 211 256 + + ----- DATA(-1, 0, 2) + ---- DATA(-2, -1, -1) + ---- DATA(2, -2, -1) + 14700 3675 3675 + + 169 191 + - ----- DATA(2, -1, 2) - 1/300 DATA(0, -2, 2) + ----- DATA(1, 1, 2) + 14700 14700 + + 311 191 169 + + ----- DATA(0, 1, 2) + ----- DATA(-1, 1, 2) - ----- DATA(-1, -2, 2) + 14700 14700 14700 + + 169 169 + - ----- DATA(1, -2, 2) + 4/75 DATA(-2, 0, -1) - ----- DATA(-1, 2, 2) + 14700 14700 + + 169 169 211 + - ----- DATA(2, 1, 2) - ----- DATA(1, 2, 2) + ---- DATA(-2, 1, -1) + 14700 14700 3675 + + 61 57 + + 1/50 y z DATA(1, 2, 2) - --- DATA(0, -1, 0) - --- DATA(1, -1, 0) + 490 490 + + 61 57 166 + - --- DATA(-1, 0, 0) - --- DATA(-1, 1, 0) + ---- DATA(-1, -1, 1) + 490 490 3675 + + 151 166 151 + + ---- DATA(0, -1, 1) + ---- DATA(1, -1, 1) + ---- DATA(-1, 0, 1) + 3675 3675 3675 + + 166 136 151 + + ---- DATA(-1, 1, 1) + ---- DATA(0, 0, -1) + ---- DATA(1, 0, -1) + 3675 3675 3675 + + 166 151 166 + + ---- DATA(-1, 1, -1) + ---- DATA(0, 1, -1) + ---- DATA(1, 1, -1) + 3675 3675 3675 + + 57 166 151 + - --- DATA(-1, -1, 0) + ---- DATA(-1, -1, -1) + ---- DATA(0, -1, -1) + 490 3675 3675 + + 166 529 256 + + ---- DATA(1, -1, -1) - ----- DATA(2, -2, 2) + ---- DATA(-2, 2, -1) + 3675 14700 3675 + + 529 33 + - ----- DATA(2, 2, 2) - 1/100 y z DATA(1, 1, -2) - --- DATA(-2, -2, 0) + 14700 490 + + - 9/98 DATA(-1, -2, 0) - 1/50 y z DATA(-1, 2, -2) - 1/25 y z DATA(2, 2, 1) + + - 1/50 y z DATA(2, 1, 1) - 1/100 y z DATA(-1, -1, 2) + + - 1/25 y z DATA(1, 2, 1) - 1/50 y z DATA(2, 2, -2) + + + 1/50 y z DATA(2, -1, 1) - 1/25 y z DATA(-1, 2, 1) + + - 1/25 y z DATA(-2, -2, -1) - 1/50 y z DATA(-1, -2, 2) + + - 1/50 y z DATA(1, -2, 2) - 1/100 y z DATA(2, -1, 2) + + + 1/100 y z DATA(1, 1, 2) + 1/100 y z DATA(-1, 1, 2) + + - 1/100 y z DATA(1, -1, 2) - 1/25 y z DATA(2, -2, -1) + + - 1/50 y z DATA(-2, -1, -1) - 1/50 y z DATA(-2, -2, 2) + + - 1/25 y z DATA(1, -2, -1) + 1/50 y z DATA(-2, 1, -1) + + + 1/100 y z DATA(2, 1, 2) + 1/50 y z DATA(-1, 2, 2) + + - 1/50 y z DATA(2, -2, 2) + 1/25 y z DATA(-2, 2, -1) + + 169 + - ----- DATA(-2, -1, 2) + 1/50 y z DATA(2, 2, 2) + 14700 + + + 1/50 y z DATA(-1, -1, 1) + 1/50 y z DATA(-2, -2, -2) + + + 1/50 y z DATA(-2, 2, 2) + 1/100 y z DATA(-2, 1, 2) + + - 1/100 y z DATA(-2, -1, 2) + 1/100 y z DATA(-2, -1, -2) + + + 1/100 y z DATA(1, -1, -2) + 1/50 y z DATA(2, -2, -2) + + + 1/50 y z DATA(1, -2, -2) + 1/50 y z DATA(-1, -2, -2) + + + 1/100 y z DATA(-1, -1, -2) + 1/100 y z DATA(2, -1, -2) + + 33 + - --- DATA(-2, 2, 0) - 1/50 y z 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DATA(0, -1, 1) + 1/245 x DATA(0, 1, 1) + + - 1/350 x y DATA(-1, -2, 1) + 1/50 z DATA(-2, 0, 2) + + 529 + - ----- DATA(-2, -2, -2) - 1/50 z DATA(-1, 0, -2) + 14700 + + - 1/350 x y DATA(-2, -1, 1) + 1/175 x y DATA(2, 1, -2) + + 529 + - 1/350 x y DATA(-1, 1, -2) - ----- DATA(-2, 2, 2) + 14700 + + + 1/25 z DATA(-2, 0, -1) + 1/350 x y DATA(-2, 1, 1) + + - 1/700 x y DATA(1, 1, 1) - 1/25 z DATA(-1, 0, 1) + 1/25 z DATA(0, 0, -1) + + 2 + + 1/350 x y DATA(-1, 2, -1) - 2/25 z DATA(-1, 0, -1) + + 2 2 2 + + 3/25 z DATA(0, 0, 0) + 3/25 z DATA(1, 0, 0) + 1/50 z DATA(1, 0, 2) + + 2 2 + + 3/25 z DATA(2, -2, 0) - 2/25 z DATA(-2, 0, 1) + + 2 2 2 + + 3/25 z DATA(-2, -1, 0) + 3/25 z DATA(-2, 1, 0) + 1/50 z DATA(2, 0, 2) + + 2 169 + + 1/50 z DATA(0, 0, 2) - ----- DATA(1, -2, -2) - 1/300 DATA(0, -2, -2) + 14700 + + - 1/25 z DATA(-2, 0, 1) + 1/50 z DATA(1, 0, 2) + 1/25 z DATA(-1, 0, -1) + + 169 169 2 + - ----- DATA(-1, -2, -2) - ----- DATA(-2, -1, -2) - 2/25 z DATA(0, 0, -1) + 14700 14700 + + 2 2 2 + - 2/25 z DATA(1, 0, -1) + 3/25 z DATA(2, 2, 0) - 2/25 z DATA(-1, 0, 1) + + 2 2 2 + + 3/25 z DATA(0, 2, 0) + 3/25 z DATA(-1, 2, 0) + 3/25 z DATA(0, 1, 0) + + 2 2 2 + + 3/25 z DATA(1, 1, 0) + 3/25 z DATA(2, 0, 0) + 3/25 z DATA(2, -1, 0) + + 2 2 2 + + 3/25 z DATA(1, 2, 0) + 1/50 z DATA(2, 0, -2) - 2/25 z DATA(2, 0, 1) + + 2 + + 3/25 z DATA(-2, 0, 0) + 1/175 x y DATA(2, -2, 1) + + 2 + + 1/350 x y DATA(2, -1, -1) + 3/25 z DATA(0, -2, 0) + + 2 2 2 + - 2/25 z DATA(0, 0, 1) - 2/25 z DATA(1, 0, 1) + 3/25 z DATA(1, -2, 0) + + 2 529 191 + - 2/25 z DATA(2, 0, -1) - ----- DATA(2, -2, -2) + ----- DATA(1, -1, -2) + 14700 14700 + + 311 191 + + ----- DATA(0, -1, -2) + ----- DATA(-1, -1, -2) + 14700 14700 + + 2 + - 1/175 x y DATA(-2, -2, 1) + 1/50 z DATA(-1, 0, 2) + + 2 + + 3/25 z DATA(2, 1, 0) + 1/175 x y DATA(1, -2, 0) + + - 1/350 x y DATA(1, 1, 0) + 2/175 x y DATA(2, -2, 0) + + 2 + - 1/175 x y DATA(-2, -1, 0) + 3/25 z DATA(-2, -2, 0) + + 2 2 + + 3/25 z DATA(-1, -2, 0) + 1/50 z DATA(0, 0, 2) + 3/25 z DATA(0, -1, 0) + + 2 2 + + 1/50 z DATA(-2, 0, 2) - 2/25 z DATA(-2, 0, -1) + + 2 + + 3/25 z DATA(-2, 2, 0) + 1/350 x y DATA(1, -2, 1) + + 169 + - 1/300 DATA(-2, 0, -2) - ----- DATA(2, -1, -2) + 14700 + + + 1/100 x z DATA(-1, 0, -2) - 2/175 x y DATA(2, 2, 0) + + + 1/350 x y DATA(1, -1, 0) + 1/350 x y DATA(-1, 1, 0) + + 431 + - 1/175 x y DATA(2, 1, 0) + ----- DATA(0, 0, -2) + 14700 + + + 1/175 x y DATA(-1, 2, 0) - 1/175 x y DATA(1, 2, 0) + + 311 311 + + 1/175 x y DATA(2, -1, 0) + ----- DATA(-1, 0, -2) + ----- DATA(1, 0, -2) + 14700 14700 + + - 1/100 x z DATA(1, 0, -2) - 1/50 z DATA(1, 0, -2) + + 2 2 2 + + 3/25 z DATA(1, -1, 0) + 3/25 z DATA(-1, 0, 0) + 3/25 z DATA(-1, 1, 0) + + - 1/50 x z DATA(-2, 0, 2) + +> coeffs_as_lc_of_data(%, posn_list_3d_size5); +bytes used=2466555596, alloc=14677376, time=410.58 +bytes used=2467555944, alloc=14677376, time=410.66 +bytes used=2468657096, alloc=14677376, time=410.75 +bytes used=2469657732, alloc=14677376, time=410.83 +bytes used=2470695080, alloc=14677376, 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+bytes used=2491058220, alloc=14677376, time=412.83 +bytes used=2492061428, alloc=14677376, time=412.95 +bytes used=2493083408, alloc=14677376, time=413.03 +bytes used=2494101524, alloc=14677376, time=413.10 +bytes used=2495119240, alloc=14677376, time=413.18 +[COEFF(-2, -2, -2) = - 2/175 x + 1/50 y z - 1/50 z + 2/175 x y + 1/50 x z + + 2 2 2 529 + - 2/175 y + 1/50 z + 2/245 x + 2/245 y - -----, COEFF(-1, -2, -2) = + 14700 + + 2 169 + 1/50 y z - 1/245 x - 1/175 x - 1/50 z - 2/175 y - ----- + 1/175 x y + 14700 + + 2 2 + + 2/245 y + 1/100 x z + 1/50 z , COEFF(0, -2, -2) = + + 2 2 2 + - 1/50 z - 2/175 y + 2/245 y - 2/245 x - 1/300 + 1/50 y z + 1/50 z , + + COEFF(1, -2, -2) = 1/50 y z - 1/50 z - 2/175 y + 1/175 x - 1/175 x y + + 2 2 169 2 + + 2/245 y + 1/50 z - ----- - 1/245 x - 1/100 x z, COEFF(2, -2, -2) = + 14700 + + 2 2 2 + - 2/175 y + 2/245 x + 2/245 y + 2/175 x - 1/50 x z + 1/50 z - 2/175 x y + + 529 + - 1/50 z + 1/50 y z - -----, COEFF(-2, -1, -2) = - 1/175 y - 1/50 z + 14700 + + 2 2 2 169 + + 1/50 z + 2/245 x - 2/175 x + 1/175 x y - 1/245 y + 1/100 y z - ----- + 14700 + + + 1/50 x z, COEFF(-1, -1, -2) = - 1/175 y + 1/350 x y + 1/100 x z - 1/50 z + + 2 2 191 2 + - 1/245 y + 1/100 y z - 1/245 x - 1/175 x + ----- + 1/50 z , + 14700 + + COEFF(0, -1, -2) = + + 2 311 2 2 + - 1/245 y + ----- - 2/245 x + 1/100 y z + 1/50 z - 1/50 z - 1/175 y, + 14700 + + 2 191 + COEFF(1, -1, -2) = 1/100 y z - 1/175 y - 1/245 x - 1/350 x y + ----- + 14700 + + 2 2 + + 1/175 x + 1/50 z - 1/50 z - 1/245 y - 1/100 x z, COEFF(2, -1, -2) = + + 2 2 169 + - 1/245 y - 1/175 y + 2/175 x + 1/50 z - 1/50 z - 1/50 x z - ----- + 14700 + + 2 + + 1/100 y z - 1/175 x y + 2/245 x , COEFF(-2, 0, -2) = + + 2 2 2 + - 2/245 y - 1/50 z + 1/50 z - 2/175 x + 1/50 x z - 1/300 + 2/245 x , + + COEFF(-1, 0, -2) = + + 311 2 2 2 + - 1/175 x + 1/100 x z + ----- - 1/245 x - 2/245 y - 1/50 z + 1/50 z , + 14700 + + 431 2 2 2 + COEFF(0, 0, -2) = ----- + 1/50 z - 1/50 z - 2/245 x - 2/245 y , + 14700 + + COEFF(1, 0, -2) = + + 311 2 2 2 + ----- - 2/245 y + 1/50 z - 1/50 z - 1/245 x - 1/100 x z + 1/175 x, + 14700 + + COEFF(2, 0, -2) = + + 2 2 2 + 2/245 x - 1/300 + 2/175 x - 2/245 y + 1/50 z - 1/50 z - 1/50 x z, + + 169 2 2 + COEFF(-2, 1, -2) = - 1/50 z - ----- - 1/100 y z - 1/245 y + 2/245 x + 14700 + + 2 + - 1/175 x y + 1/50 x z + 1/50 z + 1/175 y - 2/175 x, COEFF(-1, 1, -2) = + + 191 2 2 + - 1/50 z - 1/175 x + ----- + 1/175 y + 1/100 x z - 1/245 y - 1/245 x + 14700 + + 2 + - 1/100 y z + 1/50 z - 1/350 x y, COEFF(0, 1, -2) = + + 2 2 2 311 + 1/175 y - 1/50 z + 1/50 z - 1/245 y - 2/245 x - 1/100 y z + -----, + 14700 + + 191 + COEFF(1, 1, -2) = ----- - 1/100 x z - 1/50 z - 1/100 y z + 1/175 y + 14700 + + 2 2 2 + + 1/350 x y + 1/50 z - 1/245 y + 1/175 x - 1/245 x , COEFF(2, 1, -2) = + + 169 2 2 + 1/175 x y + 1/175 y - ----- - 1/100 y z + 1/50 z - 1/50 z + 2/245 x + 14700 + + 2 2 + - 1/245 y + 2/175 x - 1/50 x z, COEFF(-2, 2, -2) = 1/50 x z + 2/245 y + + 2 2 529 + - 1/50 y z + 1/50 z + 2/245 x + 2/175 y - 2/175 x - 2/175 x y - ----- + 14700 + + 169 + - 1/50 z, COEFF(-1, 2, -2) = - 1/50 y z + 1/100 x z - 1/175 x y - ----- + 14700 + + 2 2 2 + - 1/175 x + 2/245 y - 1/245 x + 1/50 z - 1/50 z + 2/175 y, + + COEFF(0, 2, -2) = + + 2 2 2 + 2/175 y + 1/50 z - 1/50 y z - 1/50 z - 1/300 - 2/245 x + 2/245 y , + + 2 169 2 + COEFF(1, 2, -2) = - 1/245 x - ----- - 1/100 x z + 1/50 z + 1/175 x + 14700 + + 2 + - 1/50 z + 2/245 y + 1/175 x y - 1/50 y z + 2/175 y, COEFF(2, 2, -2) = + + 529 2 2 + 2/175 x - 1/50 x z + 2/175 y - ----- + 1/50 z - 1/50 z + 2/245 y + 14700 + + 2 2 256 + + 2/245 x - 1/50 y z + 2/175 x y, COEFF(-2, -2, -1) = - 2/25 z + ---- + 3675 + + 2 2 + + 1/175 x - 1/175 x y + 1/175 y + 1/25 z - 1/245 y - 1/245 x - 1/25 y z + + 2 2 + - 1/25 x z, COEFF(-1, -2, -1) = - 1/25 y z - 2/25 z - 1/50 x z + 1/490 x + + 2 211 + + 1/25 z - 1/245 y + 1/175 y - 1/350 x y + 1/350 x + ----, + 3675 + + COEFF(0, -2, -1) = + + 2 2 2 + - 1/245 y + 1/175 y - 1/25 y z + 1/25 z + 1/245 x + 4/75 - 2/25 z , + + 2 2 + COEFF(1, -2, -1) = - 1/25 y z + 1/175 y + 1/490 x + 1/50 x z - 1/245 y + + 211 2 + + 1/350 x y - 1/350 x + 1/25 z + ---- - 2/25 z , COEFF(2, -2, -1) = + 3675 + + 2 2 + - 1/175 x - 2/25 z + 1/25 x z + 1/175 x y + 1/175 y - 1/245 x + 1/25 z + + 256 2 + + ---- - 1/25 y z - 1/245 y , COEFF(-2, -1, -1) = 1/25 z - 1/50 y z + 3675 + + 211 2 2 2 + - 1/350 x y - 1/25 x z + ---- + 1/490 y - 2/25 z + 1/175 x - 1/245 x + 3675 + + 2 + + 1/350 y, COEFF(-1, -1, -1) = - 1/50 y z + 1/350 y + 1/490 y - 1/700 x y + + 2 2 166 + - 2/25 z + 1/490 x + 1/25 z - 1/50 x z + 1/350 x + ----, + 3675 + + COEFF(0, -1, -1) = + + 2 151 2 2 + - 1/50 y z - 2/25 z + ---- + 1/245 x + 1/350 y + 1/490 y + 1/25 z, + 3675 + + 166 2 2 + COEFF(1, -1, -1) = ---- + 1/490 y + 1/700 x y + 1/350 y - 2/25 z + 3675 + + 2 + + 1/490 x + 1/25 z - 1/350 x - 1/50 y z + 1/50 x z, COEFF(2, -1, -1) = + + 211 2 2 + ---- + 1/350 x y - 1/175 x - 1/50 y z + 1/490 y - 2/25 z + 1/350 y + 3675 + + 2 + - 1/245 x + 1/25 x z + 1/25 z, COEFF(-2, 0, -1) = + + 2 2 2 + 1/175 x - 1/245 x + 4/75 + 1/25 z - 2/25 z - 1/25 x z + 1/245 y , + + COEFF(-1, 0, -1) = + + 151 2 2 2 + ---- + 1/350 x + 1/245 y - 2/25 z - 1/50 x z + 1/25 z + 1/490 x , + 3675 + + 2 2 136 2 + COEFF(0, 0, -1) = 1/245 y + 1/245 x + ---- + 1/25 z - 2/25 z , + 3675 + + COEFF(1, 0, -1) = + + 2 2 151 2 + 1/490 x - 2/25 z - 1/350 x + ---- + 1/50 x z + 1/245 y + 1/25 z, + 3675 + + COEFF(2, 0, -1) = + + 2 2 2 + - 1/175 x - 1/245 x + 4/75 - 2/25 z + 1/245 y + 1/25 z + 1/25 x z, + + 2 2 + COEFF(-2, 1, -1) = - 1/245 x - 1/350 y - 1/25 x z + 1/490 y + 1/350 x y + + 2 211 + + 1/50 y z - 2/25 z + ---- + 1/175 x + 1/25 z, COEFF(-1, 1, -1) = + 3675 + + 2 166 2 + - 2/25 z + ---- + 1/50 y z - 1/350 y + 1/490 y + 1/25 z + 1/700 x y + 3675 + + 2 + + 1/490 x - 1/50 x z + 1/350 x, COEFF(0, 1, -1) = + + 2 2 151 2 + 1/50 y z + 1/490 y + 1/245 x + ---- - 2/25 z + 1/25 z - 1/350 y, + 3675 + + 2 166 2 2 + COEFF(1, 1, -1) = 1/50 y z - 2/25 z - 1/350 x + ---- + 1/490 y + 1/490 x + 3675 + + - 1/700 x y - 1/350 y + 1/25 z + 1/50 x z, COEFF(2, 1, -1) = 1/50 y z + + 2 2 2 + - 2/25 z - 1/350 y - 1/245 x + 1/25 z + 1/25 x z - 1/175 x + 1/490 y + + 211 2 + - 1/350 x y + ----, COEFF(-2, 2, -1) = - 1/245 y - 1/25 x z + 1/175 x + 3675 + + 2 256 2 + - 1/245 x + 1/25 y z - 1/175 y + 1/175 x y + ---- - 2/25 z + 1/25 z, + 3675 + + 211 2 2 + COEFF(-1, 2, -1) = 1/25 y z + ---- + 1/490 x - 2/25 z - 1/50 x z + 3675 + + 2 + + 1/350 x y + 1/25 z - 1/245 y - 1/175 y + 1/350 x, COEFF(0, 2, -1) = + + 2 2 2 + 1/25 y z - 1/175 y - 1/245 y + 1/25 z + 4/75 - 2/25 z + 1/245 x , + + COEFF(1, 2, -1) = - 1/350 x y + 1/25 z + 1/25 y z + 1/50 x z - 1/175 y + + 211 2 2 2 + + ---- - 2/25 z - 1/350 x - 1/245 y + 1/490 x , COEFF(2, 2, -1) = + 3675 + + 256 2 2 + - 1/175 y - 1/175 x y + ---- - 1/245 y + 1/25 z + 1/25 x z - 1/245 x + 3675 + + 2 + - 1/175 x + 1/25 y z - 2/25 z , COEFF(-2, -2, 0) = + + 2 2 33 2 + 3/25 z - 2/245 x - --- + 2/175 y - 2/175 x y - 2/245 y + 2/175 x, + 490 + + COEFF(-1, -2, 0) = + + 2 2 2 + - 1/175 x y + 1/175 x + 3/25 z + 1/245 x - 2/245 y - 9/98 + 2/175 y, + + 2 2 2 + COEFF(0, -2, 0) = - 1/10 + 3/25 z - 2/245 y + 2/175 y + 2/245 x , + + COEFF(1, -2, 0) = + + 2 2 2 + 3/25 z + 1/245 x - 2/245 y - 1/175 x + 1/175 x y + 2/175 y - 9/98, + + COEFF(2, -2, 0) = + + 33 2 2 2 + - --- + 3/25 z - 2/245 y - 2/245 x + 2/175 y - 2/175 x + 2/175 x y, + 490 + + COEFF(-2, -1, 0) = + + 2 2 2 + 2/175 x + 3/25 z + 1/175 y - 1/175 x y + 1/245 y - 2/245 x - 9/98, + + COEFF(-1, -1, 0) = + + 57 2 2 2 + - 1/350 x y - --- + 1/175 x + 3/25 z + 1/245 x + 1/245 y + 1/175 y, + 490 + + 2 2 2 61 + COEFF(0, -1, 0) = 3/25 z + 1/245 y + 2/245 x + 1/175 y - ---, + 490 + + COEFF(1, -1, 0) = + + 2 57 2 2 + 1/350 x y + 1/245 y - 1/175 x - --- + 1/245 x + 3/25 z + 1/175 y, + 490 + + COEFF(2, -1, 0) = + + 2 2 2 + 3/25 z - 9/98 - 2/245 x - 2/175 x + 1/175 y + 1/175 x y + 1/245 y , + + 2 2 2 + COEFF(-2, 0, 0) = 3/25 z + 2/245 y - 1/10 - 2/245 x + 2/175 x, + + 2 2 2 61 + COEFF(-1, 0, 0) = 2/245 y + 1/245 x + 3/25 z - --- + 1/175 x, + 490 + + 2 2 13 2 + COEFF(0, 0, 0) = 2/245 x + 2/245 y - -- + 3/25 z , + 98 + + 61 2 2 2 + COEFF(1, 0, 0) = - --- + 1/245 x + 3/25 z + 2/245 y - 1/175 x, + 490 + + 2 2 2 + COEFF(2, 0, 0) = 2/245 y - 2/175 x + 3/25 z - 1/10 - 2/245 x , + + COEFF(-2, 1, 0) = + + 2 2 2 + 3/25 z + 1/245 y + 1/175 x y - 2/245 x - 9/98 - 1/175 y + 2/175 x, + + COEFF(-1, 1, 0) = + + 2 2 2 57 + 1/245 y + 1/245 x - 1/175 y + 1/175 x + 3/25 z - --- + 1/350 x y, + 490 + + 2 2 2 61 + COEFF(0, 1, 0) = - 1/175 y + 2/245 x + 1/245 y + 3/25 z - ---, + 490 + + COEFF(1, 1, 0) = + + 57 2 2 2 + - --- + 1/245 y + 1/245 x - 1/175 x - 1/175 y - 1/350 x y + 3/25 z , + 490 + + COEFF(2, 1, 0) = + + 2 2 2 + - 9/98 - 2/175 x + 3/25 z + 1/245 y - 1/175 x y - 1/175 y - 2/245 x , + + COEFF(-2, 2, 0) = + + 2 33 2 2 + - 2/245 x - 2/175 y + 2/175 x y - --- + 3/25 z + 2/175 x - 2/245 y , + 490 + + COEFF(-1, 2, 0) = + + 2 2 2 + 3/25 z - 9/98 - 2/175 y + 1/175 x - 2/245 y + 1/245 x + 1/175 x y, + + 2 2 2 + COEFF(0, 2, 0) = - 2/245 y - 1/10 - 2/175 y + 2/245 x + 3/25 z , + + COEFF(1, 2, 0) = + + 2 2 2 + - 2/175 y - 9/98 - 1/175 x + 1/245 x - 2/245 y - 1/175 x y + 3/25 z , + + COEFF(2, 2, 0) = + + 33 2 2 2 + - 2/175 y - --- - 2/175 x - 2/175 x y - 2/245 y - 2/245 x + 3/25 z , + 490 + + 256 2 + COEFF(-2, -2, 1) = 1/25 y z + 1/175 y + ---- - 1/245 x + 1/175 x + 3675 + + 2 2 + - 1/175 x y - 1/245 y + 1/25 x z - 1/25 z - 2/25 z , COEFF(-1, -2, 1) = + + 2 211 2 + - 1/25 z - 1/245 y + ---- + 1/490 x + 1/350 x + 1/25 y z + 1/175 y + 3675 + + 2 + - 1/350 x y - 2/25 z + 1/50 x z, COEFF(0, -2, 1) = + + 2 2 2 + - 1/25 z - 1/245 y + 1/25 y z + 1/175 y + 4/75 + 1/245 x - 2/25 z , + + COEFF(1, -2, 1) = - 1/350 x - 1/50 x z + 1/25 y z + 1/175 y - 1/25 z + + 2 2 211 2 + - 1/245 y + 1/350 x y - 2/25 z + ---- + 1/490 x , COEFF(2, -2, 1) = + 3675 + + 2 256 2 + - 1/245 x + ---- + 1/175 x y - 2/25 z - 1/25 z - 1/25 x z + 1/175 y + 3675 + + 2 + - 1/175 x - 1/245 y + 1/25 y z, COEFF(-2, -1, 1) = 1/50 y z + 1/25 x z + + 2 2 2 211 + - 1/245 x + 1/350 y + 1/490 y - 1/25 z - 2/25 z + ---- - 1/350 x y + 3675 + + 2 166 + + 1/175 x, COEFF(-1, -1, 1) = 1/490 y + 1/50 x z - 1/700 x y + ---- + 3675 + + 2 2 + + 1/350 x + 1/350 y + 1/490 x - 2/25 z - 1/25 z + 1/50 y z, + + COEFF(0, -1, 1) = + + 2 2 2 151 + - 2/25 z + 1/350 y + 1/245 x + 1/490 y + ---- - 1/25 z + 1/50 y z, + 3675 + + 166 2 2 + COEFF(1, -1, 1) = - 1/25 z + ---- + 1/350 y - 2/25 z - 1/350 x + 1/490 x + 3675 + + 2 2 + + 1/490 y - 1/50 x z + 1/50 y z + 1/700 x y, COEFF(2, -1, 1) = - 2/25 z + + 2 211 2 + + 1/490 y + 1/350 y + ---- - 1/25 x z - 1/245 x - 1/25 z - 1/175 x + 3675 + + + 1/350 x y + 1/50 y z, COEFF(-2, 0, 1) = + + 2 2 2 + - 1/25 z + 4/75 + 1/25 x z + 1/245 y + 1/175 x - 2/25 z - 1/245 x , + + COEFF(-1, 0, 1) = + + 151 2 2 2 + ---- + 1/245 y + 1/490 x - 2/25 z + 1/50 x z + 1/350 x - 1/25 z, + 3675 + + 2 2 2 136 + COEFF(0, 0, 1) = 1/245 y + 1/245 x - 1/25 z - 2/25 z + ----, + 3675 + + COEFF(1, 0, 1) = + + 151 2 2 2 + ---- + 1/490 x - 1/350 x + 1/245 y - 1/50 x z - 1/25 z - 2/25 z , + 3675 + + COEFF(2, 0, 1) = + + 2 2 2 + 1/245 y + 4/75 - 1/245 x - 2/25 z - 1/175 x - 1/25 x z - 1/25 z, + + 2 2 + COEFF(-2, 1, 1) = - 2/25 z + 1/175 x + 1/350 x y - 1/350 y - 1/245 x + + 2 211 + - 1/25 z + 1/490 y + ---- - 1/50 y z + 1/25 x z, COEFF(-1, 1, 1) = + 3675 + + 2 2 2 166 + - 2/25 z - 1/50 y z - 1/350 y + 1/490 x + 1/490 y + 1/700 x y + ---- + 3675 + + + 1/350 x - 1/25 z + 1/50 x z, COEFF(0, 1, 1) = + + 2 2 2 151 + 1/490 y - 2/25 z - 1/50 y z + 1/245 x + ---- - 1/350 y - 1/25 z, + 3675 + + 2 2 2 166 + COEFF(1, 1, 1) = 1/490 x - 2/25 z - 1/350 x - 1/350 y + 1/490 y + ---- + 3675 + + - 1/700 x y - 1/25 z - 1/50 y z - 1/50 x z, COEFF(2, 1, 1) = - 1/25 z + + 211 2 2 + - 1/350 x y + ---- - 2/25 z - 1/175 x - 1/25 x z - 1/245 x - 1/50 y z + 3675 + + 2 2 256 + - 1/350 y + 1/490 y , COEFF(-2, 2, 1) = - 2/25 z + ---- + 1/175 x y + 3675 + + 2 2 + - 1/25 y z - 1/245 y + 1/175 x + 1/25 x z - 1/25 z - 1/175 y - 1/245 x , + + 2 211 + COEFF(-1, 2, 1) = 1/350 x + 1/490 x - 1/25 z + 1/50 x z - 1/175 y + ---- + 3675 + + 2 2 + - 2/25 z + 1/350 x y - 1/245 y - 1/25 y z, COEFF(0, 2, 1) = + + 2 2 2 + - 1/25 y z - 1/245 y - 1/25 z + 4/75 + 1/245 x - 2/25 z - 1/175 y, + + 211 2 + COEFF(1, 2, 1) = - 1/350 x + ---- - 1/175 y + 1/490 x - 1/25 y z - 1/25 z + 3675 + + 2 2 + - 1/245 y - 1/350 x y - 1/50 x z - 2/25 z , COEFF(2, 2, 1) = - 1/25 z + + 2 2 256 + - 1/175 x y - 1/25 x z - 1/245 x - 1/25 y z - 1/175 y - 1/245 y + ---- + 3675 + + 2 2 + - 1/175 x - 2/25 z , COEFF(-2, -2, 2) = 2/245 x - 1/50 y z + 1/50 z + + 529 2 2 + - 2/175 x - 2/175 y - 1/50 x z - ----- + 1/50 z + 2/175 x y + 2/245 y , + 14700 + + 2 2 + COEFF(-1, -2, 2) = 2/245 y + 1/50 z - 1/175 x - 2/175 y + 1/50 z + + 2 169 + - 1/50 y z - 1/245 x + 1/175 x y - ----- - 1/100 x z, COEFF(0, -2, 2) = + 14700 + + 2 2 2 + - 2/245 x - 1/300 - 2/175 y + 1/50 z - 1/50 y z + 1/50 z + 2/245 y , + + 169 + COEFF(1, -2, 2) = 1/50 z + 1/100 x z - ----- - 1/50 y z - 2/175 y + 14700 + + 2 2 2 + - 1/175 x y + 1/50 z - 1/245 x + 1/175 x + 2/245 y , COEFF(2, -2, 2) = + + 2 529 + 2/175 x - 2/175 x y + 2/245 x + 1/50 z - ----- - 1/50 y z - 2/175 y + 14700 + + 2 2 2 + + 2/245 y + 1/50 z + 1/50 x z, COEFF(-2, -1, 2) = 1/50 z - 1/100 y z + + 169 2 2 + + 1/175 x y - 1/50 x z - ----- + 2/245 x + 1/50 z - 1/175 y - 1/245 y + 14700 + + 2 + - 2/175 x, COEFF(-1, -1, 2) = 1/50 z - 1/245 y - 1/100 y z - 1/175 x + + 2 2 191 + + 1/50 z - 1/175 y - 1/245 x + 1/350 x y + ----- - 1/100 x z, + 14700 + + COEFF(0, -1, 2) = + + 2 2 311 2 + 1/50 z - 1/245 y + 1/50 z + ----- - 1/175 y - 1/100 y z - 2/245 x , + 14700 + + 2 2 + COEFF(1, -1, 2) = 1/100 x z - 1/350 x y - 1/245 y - 1/175 y - 1/245 x + + 2 191 + + 1/50 z + 1/175 x + ----- + 1/50 z - 1/100 y z, COEFF(2, -1, 2) = + 14700 + + 2 2 2 + 1/50 z - 1/100 y z - 1/245 y + 2/175 x + 1/50 z + 1/50 x z + 2/245 x + + 169 + - 1/175 x y - ----- - 1/175 y, COEFF(-2, 0, 2) = + 14700 + + 2 2 2 + - 2/175 x - 1/300 + 1/50 z + 2/245 x - 2/245 y + 1/50 z - 1/50 x z, + + COEFF(-1, 0, 2) = + + 2 311 2 2 + - 2/245 y - 1/175 x + 1/50 z - 1/100 x z + ----- + 1/50 z - 1/245 x , + 14700 + + 2 431 2 2 + COEFF(0, 0, 2) = - 2/245 x + ----- + 1/50 z - 2/245 y + 1/50 z, + 14700 + + COEFF(1, 0, 2) = + + 2 2 311 2 + 1/175 x + 1/100 x z - 1/245 x + 1/50 z + ----- + 1/50 z - 2/245 y , + 14700 + + COEFF(2, 0, 2) = + + 2 2 2 + 1/50 x z + 2/245 x - 2/245 y - 1/300 + 2/175 x + 1/50 z + 1/50 z, + + 2 169 + COEFF(-2, 1, 2) = 2/245 x - 1/175 x y + 1/175 y - ----- - 1/50 x z + 14700 + + 2 2 + - 2/175 x - 1/245 y + 1/50 z + 1/100 y z + 1/50 z, COEFF(-1, 1, 2) = + + 2 191 2 2 + - 1/245 x - 1/350 x y + 1/50 z + ----- + 1/50 z + 1/100 y z - 1/245 y + 14700 + + + 1/175 y - 1/175 x - 1/100 x z, COEFF(0, 1, 2) = + + 2 311 2 2 + - 2/245 x + 1/50 z + ----- - 1/245 y + 1/50 z + 1/100 y z + 1/175 y, + 14700 + + 2 191 + COEFF(1, 1, 2) = 1/175 y + 1/50 z + 1/50 z + 1/350 x y + ----- + 1/175 x + 14700 + + 2 2 + - 1/245 x + 1/100 y z - 1/245 y + 1/100 x z, COEFF(2, 1, 2) = 1/50 x z + + 2 2 + + 1/175 y + 1/50 z + 2/175 x + 1/100 y z + 2/245 x + 1/175 x y + + 2 169 + - 1/245 y - ----- + 1/50 z, COEFF(-2, 2, 2) = - 2/175 x y + 2/175 y + 14700 + + 2 2 2 529 + + 1/50 z + 2/245 x + 2/245 y - 2/175 x + 1/50 z + 1/50 y z - ----- + 14700 + + 2 169 + - 1/50 x z, COEFF(-1, 2, 2) = - 1/245 x - ----- + 1/50 y z - 1/175 x + 14700 + + 2 2 + + 1/50 z - 1/100 x z + 1/50 z - 1/175 x y + 2/175 y + 2/245 y , + + COEFF(0, 2, 2) = + + 2 2 2 + - 1/300 + 1/50 z + 1/50 z + 1/50 y z + 2/175 y - 2/245 x + 2/245 y , + + 169 2 2 + COEFF(1, 2, 2) = 1/175 x - ----- - 1/245 x + 1/100 x z + 1/50 z + 14700 + + 2 + + 2/245 y + 2/175 y + 1/50 z + 1/50 y z + 1/175 x y, COEFF(2, 2, 2) = + + 2 529 2 + 1/50 z + 2/175 x y - ----- + 2/175 x + 2/245 y + 1/50 z + 1/50 y z + 14700 + + 2 + + 2/245 x + 1/50 x z + 2/175 y] + +> print_coeffs__lc_of_data(%, "coeffs_dzz->coeff_", "fp", +> "3d.coeffs/3d.cube.order4.smooth0/coeffs-dzz.compute.c"); +bytes used=2496119468, alloc=14677376, time=413.26 +bytes 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