8x8x8_fcc.lua

-- This is a custom 3D tensor file created with MagLua-r307.
-- Use lr3d:loadTensors(filename), where lr3d is a LongRange3D object, to load these tensors.
-- The matrices below represent slices in the XY plane, the indices on the AB tables represent Z offsets.

-- This data was created at:
-- 	MKT.lua:41: in main chunk
-- 	[C]: in function 'dofile_original'
	
	


local nx, ny, nz = 8, 8, 8 -- dimensions of saved tensor

function loadTensor(lr3d)
	if nx ~= lr3d:nx() or ny ~= lr3d:ny() or nz ~= lr3d:nz() then
		error("Tensor size mismatch")
	end
	
	parse() --convert the data below from strings to tables of numbers
	
	local mat = {"XX", "XY", "XZ", "YX", "YY", "YZ", "ZX", "ZY", "ZZ"}
	local dat = { XX ,  XY ,  XZ ,  YX ,  YY ,  YZ ,  ZX ,  ZY ,  ZZ }
	for i=1,9 do
		local ab = dat[i]
		
		for z=1,nz do
			for y=1,ny do
				for x=1,nx do
					lr3d:setMatrix(mat[i], {x-1,y-1,z-1}, ab[z-1][y][x])
				end
			end
		end
	end
end

-- Matrix columns step in the lattice X direction (A vector), rows step in the Y direction (B vector)

XX,XY,XZ={},{},{}
YX,YY,YZ={},{},{}
ZX,ZY,ZZ={},{},{}
	  
XX[0] = [[
-2.0784344093079830e-19, -9.8822867936950598e-01, -1.1314174220939471e-01, -2.6856463425584495e-02, -1.2371443942992073e-02, -2.6856463425584488e-02, -1.1314174220939485e-01, -9.8822867936950420e-01,
5.1146935116193359e-01, -8.4291363107079659e-02, -3.0557888017047542e-02, -9.7148166457000692e-03, -9.7148166457000674e-03, -3.0557888017047567e-02, -8.4291363107079714e-02, 5.1146935116193259e-01,
7.3925882581878558e-02, 5.0430529619676697e-03, 1.4553693399320853e-03, 3.3835290812024225e-03, 1.4553693399320861e-03, 5.0430529619676680e-03, 7.3925882581878613e-02, 2.0329274916852166e-01,
3.0783243189973355e-02, 1.6852145844230396e-02, 1.5663246936579899e-02, 1.5663246936579903e-02, 1.6852145844230396e-02, 3.0783243189973362e-02, 6.0224858009442120e-02, 6.0224858009442078e-02,
2.3540733448677152e-02, 2.7572693755831899e-02, 3.1799284274498074e-02, 2.7572693755831889e-02, 2.3540733448677152e-02, 2.7572693755831882e-02, 3.1799284274498046e-02, 2.7572693755831879e-02,
3.0783243189973372e-02, 6.0224858009442155e-02, 6.0224858009442078e-02, 3.0783243189973358e-02, 1.6852145844230396e-02, 1.5663246936579899e-02, 1.5663246936579903e-02, 1.6852145844230396e-02,
7.3925882581878544e-02, 2.0329274916852172e-01, 7.3925882581878460e-02, 5.0430529619676446e-03, 1.4553693399320801e-03, 3.3835290812024195e-03, 1.4553693399320727e-03, 5.0430529619676315e-03,
5.1146935116193337e-01, 5.1146935116193437e-01, -8.4291363107079575e-02, -3.0557888017047528e-02, -9.7148166457000622e-03, -9.7148166457000709e-03, -3.0557888017047521e-02, -8.4291363107079548e-02
]]

XX[1] = [[
5.1146935116193371e-01, -8.4291363107079645e-02, -3.0557888017047549e-02, -9.7148166457000692e-03, -9.7148166457000622e-03, -3.0557888017047573e-02, -8.4291363107079728e-02, 5.1146935116193293e-01,
2.0329274916852161e-01, 1.1570007651454087e-02, -9.4809871001754202e-04, 4.0040263027723162e-04, -9.4809871001754452e-04, 1.1570007651454110e-02, 2.0329274916852186e-01, 7.1757965184265637e-01,
6.0224858009442071e-02, 1.7829060832189873e-02, 9.7161509864839932e-03, 9.7161509864840036e-03, 1.7829060832189877e-02, 6.0224858009442120e-02, 1.6113662593104969e-01, 1.6113662593104969e-01,
2.7572693755831882e-02, 1.7154810162042494e-02, 1.5277720981394224e-02, 1.7154810162042480e-02, 2.7572693755831879e-02, 5.1607009428376538e-02, 6.8368686038337331e-02, 5.1607009428376538e-02,
1.6852145844230403e-02, 1.7829060832189873e-02, 1.7829060832189877e-02, 1.6852145844230396e-02, 2.1655566064280492e-02, 2.8960168490576029e-02, 2.8960168490576043e-02, 2.1655566064280488e-02,
5.0430529619676506e-03, 1.1570007651454068e-02, 5.0430529619676480e-03, 3.1832095441078363e-03, 8.5600375431682876e-03, 1.1570007651454080e-02, 8.5600375431682894e-03, 3.1832095441078367e-03,
-8.4291363107079853e-02, -8.4291363107079867e-02, -4.9595180021391953e-02, -1.6829331541987562e-02, -2.8101830793821224e-03, -2.8101830793821237e-03, -1.6829331541987579e-02, -4.9595180021391898e-02,
-9.8822867936950498e-01, -3.4143481444414736e-01, -7.6831422955295534e-02, -2.0080196018122172e-02, -8.6011091741987622e-03, -2.0080196018122193e-02, -7.6831422955295450e-02, -3.4143481444414669e-01
]]

XX[2] = [[
7.3925882581878530e-02, 5.0430529619676697e-03, 1.4553693399320844e-03, 3.3835290812024234e-03, 1.4553693399320855e-03, 5.0430529619676723e-03, 7.3925882581878585e-02, 2.0329274916852161e-01,
6.0224858009442071e-02, 1.7829060832189877e-02, 9.7161509864839984e-03, 9.7161509864839967e-03, 1.7829060832189891e-02, 6.0224858009442078e-02, 1.6113662593104969e-01, 1.6113662593104966e-01,
3.1799284274498053e-02, 1.5277720981394228e-02, 1.1570007651454061e-02, 1.5277720981394216e-02, 3.1799284274498060e-02, 6.8368686038337331e-02, 9.4660691449325499e-02, 6.8368686038337331e-02,
1.5663246936579903e-02, 9.7161509864840002e-03, 9.7161509864839984e-03, 1.5663246936579899e-02, 2.8960168490576029e-02, 4.3229785437312956e-02, 4.3229785437312956e-02, 2.8960168490576040e-02,
1.4553693399320781e-03, -9.4809871001755200e-04, 1.4553693399320773e-03, 8.5600375431682894e-03, 1.7326312532965921e-02, 2.1459913646006086e-02, 1.7326312532965928e-02, 8.5600375431682928e-03,
-3.0557888017047542e-02, -3.0557888017047521e-02, -1.6829331541987541e-02, -1.9343699722362653e-03, 6.6250546541780746e-03, 6.6250546541780711e-03, -1.9343699722362659e-03, -1.6829331541987552e-02,
-1.1314174220939477e-01, -7.6831422955295547e-02, -2.9975334247481673e-02, -6.5853925107144809e-03, 5.7397888430389633e-05, -6.5853925107144844e-03, -2.9975334247481701e-02, -7.6831422955295436e-02,
-8.4291363107079867e-02, -4.9595180021391953e-02, -1.6829331541987569e-02, -2.8101830793821206e-03, -2.8101830793821232e-03, -1.6829331541987590e-02, -4.9595180021391905e-02, -8.4291363107079811e-02
]]

XX[3] = [[
3.0783243189973362e-02, 1.6852145844230403e-02, 1.5663246936579899e-02, 1.5663246936579903e-02, 1.6852145844230396e-02, 3.0783243189973372e-02, 6.0224858009442092e-02, 6.0224858009442120e-02,
2.7572693755831882e-02, 1.7154810162042494e-02, 1.5277720981394228e-02, 1.7154810162042480e-02, 2.7572693755831885e-02, 5.1607009428376524e-02, 6.8368686038337317e-02, 5.1607009428376524e-02,
1.5663246936579899e-02, 9.7161509864840036e-03, 9.7161509864839915e-03, 1.5663246936579903e-02, 2.8960168490576022e-02, 4.3229785437312963e-02, 4.3229785437312963e-02, 2.8960168490576040e-02,
3.3835290812024182e-03, 4.0040263027722674e-04, 3.3835290812024173e-03, 1.1570007651454084e-02, 2.1459913646006076e-02, 2.6172236314961937e-02, 2.1459913646006089e-02, 1.1570007651454078e-02,
-9.7148166457000779e-03, -9.7148166457000674e-03, -2.8101830793821198e-03, 6.6250546541780728e-03, 1.3224241841779743e-02, 1.3224241841779737e-02, 6.6250546541780659e-03, -2.8101830793821219e-03,
-2.6856463425584499e-02, -2.0080196018122172e-02, -6.5853925107144835e-03, 4.2688933197001485e-03, 8.2615392708027396e-03, 4.2688933197001441e-03, -6.5853925107144853e-03, -2.0080196018122193e-02,
-3.0557888017047535e-02, -1.6829331541987555e-02, -1.9343699722362659e-03, 6.6250546541780720e-03, 6.6250546541780728e-03, -1.9343699722362726e-03, -1.6829331541987552e-02, -3.0557888017047521e-02,
5.0430529619676506e-03, 3.1832095441078363e-03, 8.5600375431682894e-03, 1.1570007651454080e-02, 8.5600375431682894e-03, 3.1832095441078354e-03, 5.0430529619676341e-03, 1.1570007651454051e-02
]]

XX[4] = [[
2.3540733448677152e-02, 2.7572693755831896e-02, 3.1799284274498067e-02, 2.7572693755831885e-02, 2.3540733448677152e-02, 2.7572693755831885e-02, 3.1799284274498046e-02, 2.7572693755831879e-02,
1.6852145844230403e-02, 1.7829060832189877e-02, 1.7829060832189887e-02, 1.6852145844230403e-02, 2.1655566064280488e-02, 2.8960168490576026e-02, 2.8960168490576040e-02, 2.1655566064280481e-02,
1.4553693399320768e-03, -9.4809871001755080e-04, 1.4553693399320751e-03, 8.5600375431682859e-03, 1.7326312532965925e-02, 2.1459913646006083e-02, 1.7326312532965925e-02, 8.5600375431682946e-03,
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1.4553693399320783e-03, 8.5600375431682911e-03, 1.7326312532965911e-02, 2.1459913646006076e-02, 1.7326312532965918e-02, 8.5600375431682894e-03, 1.4553693399320736e-03, -9.4809871001754939e-04,
1.6852145844230389e-02, 2.1655566064280495e-02, 2.8960168490576036e-02, 2.8960168490576046e-02, 2.1655566064280492e-02, 1.6852145844230414e-02, 1.7829060832189880e-02, 1.7829060832189873e-02
]]

XX[5] = [[
3.0783243189973362e-02, 6.0224858009442134e-02, 6.0224858009442092e-02, 3.0783243189973358e-02, 1.6852145844230386e-02, 1.5663246936579899e-02, 1.5663246936579903e-02, 1.6852145844230389e-02,
5.0430529619676498e-03, 1.1570007651454068e-02, 5.0430529619676480e-03, 3.1832095441078371e-03, 8.5600375431682876e-03, 1.1570007651454075e-02, 8.5600375431682894e-03, 3.1832095441078367e-03,
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-2.6856463425584488e-02, -2.0080196018122169e-02, -6.5853925107144844e-03, 4.2688933197001467e-03, 8.2615392708027431e-03, 4.2688933197001433e-03, -6.5853925107144844e-03, -2.0080196018122189e-02,
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3.3835290812024186e-03, 1.1570007651454073e-02, 2.1459913646006069e-02, 2.6172236314961933e-02, 2.1459913646006079e-02, 1.1570007651454071e-02, 3.3835290812024217e-03, 4.0040263027722668e-04,
1.5663246936579903e-02, 2.8960168490576033e-02, 4.3229785437312977e-02, 4.3229785437312977e-02, 2.8960168490576050e-02, 1.5663246936579903e-02, 9.7161509864840019e-03, 9.7161509864839932e-03,
2.7572693755831885e-02, 5.1607009428376545e-02, 6.8368686038337359e-02, 5.1607009428376552e-02, 2.7572693755831879e-02, 1.7154810162042490e-02, 1.5277720981394224e-02, 1.7154810162042473e-02
]]

XX[6] = [[
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XX[7] = [[
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]]

XY[0] = [[
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3.4990236812055585e-03, -7.3400659450613407e-19, -4.8465278035044659e-03, 3.3593240430016421e-19, 3.4990236812055563e-03, 8.9192186011306681e-18, -2.8341896976455416e-03, 1.0159546323785493e-17,
2.1969314454058912e-02, -5.7641847727746944e-19, 7.4526086222298423e-19, 2.1969314454058902e-02, 1.9858703832836288e-02, 1.3235218515700397e-02, 1.3235218515700390e-02, 1.9858703832836305e-02,
9.6098992028503485e-02, 2.1459943408412706e-19, 9.6098992028503472e-02, 6.7988779581271364e-02, 3.5431173960039905e-02, 2.5959693246398383e-02, 3.5431173960039850e-02, 6.7988779581271266e-02
]]

ZZ[0] = [[
-2.9957265651913204e-19, 5.1146935116193393e-01, 7.3925882581878516e-02, 3.0783243189973351e-02, 2.3540733448677145e-02, 3.0783243189973372e-02, 7.3925882581878585e-02, 5.1146935116193315e-01,
5.1146935116193404e-01, 2.0329274916852147e-01, 6.0224858009442092e-02, 2.7572693755831885e-02, 1.6852145844230396e-02, 5.0430529619676541e-03, -8.4291363107079895e-02, -9.8822867936950498e-01,
7.3925882581878488e-02, 6.0224858009442099e-02, 3.1799284274498074e-02, 1.5663246936579899e-02, 1.4553693399320790e-03, -3.0557888017047560e-02, -1.1314174220939478e-01, -8.4291363107079853e-02,
3.0783243189973372e-02, 2.7572693755831899e-02, 1.5663246936579899e-02, 3.3835290812024191e-03, -9.7148166457000727e-03, -2.6856463425584495e-02, -3.0557888017047549e-02, 5.0430529619676420e-03,
2.3540733448677152e-02, 1.6852145844230393e-02, 1.4553693399320779e-03, -9.7148166457000744e-03, -1.2371443942992081e-02, -9.7148166457000674e-03, 1.4553693399320770e-03, 1.6852145844230400e-02,
3.0783243189973355e-02, 5.0430529619676541e-03, -3.0557888017047535e-02, -2.6856463425584499e-02, -9.7148166457000779e-03, 3.3835290812024139e-03, 1.5663246936579906e-02, 2.7572693755831865e-02,
7.3925882581878613e-02, -8.4291363107079867e-02, -1.1314174220939477e-01, -3.0557888017047532e-02, 1.4553693399320788e-03, 1.5663246936579906e-02, 3.1799284274498060e-02, 6.0224858009442099e-02,
5.1146935116193293e-01, -9.8822867936950520e-01, -8.4291363107079825e-02, 5.0430529619676420e-03, 1.6852145844230389e-02, 2.7572693755831879e-02, 6.0224858009442099e-02, 2.0329274916852119e-01
]]

ZZ[1] = [[
-9.8822867936950576e-01, -8.4291363107079659e-02, 5.0430529619676714e-03, 1.6852145844230396e-02, 2.7572693755831882e-02, 6.0224858009442134e-02, 2.0329274916852158e-01, 5.1146935116193404e-01,
-8.4291363107079645e-02, 1.1570007651454087e-02, 1.7829060832189884e-02, 1.7154810162042483e-02, 1.7829060832189873e-02, 1.1570007651454073e-02, -8.4291363107079895e-02, -3.4143481444414731e-01,
5.0430529619676662e-03, 1.7829060832189880e-02, 1.5277720981394228e-02, 9.7161509864840019e-03, -9.4809871001755113e-04, -3.0557888017047563e-02, -7.6831422955295561e-02, -4.9595180021391960e-02,
1.6852145844230403e-02, 1.7154810162042497e-02, 9.7161509864839950e-03, 4.0040263027722560e-04, -9.7148166457000744e-03, -2.0080196018122175e-02, -1.6829331541987538e-02, 3.1832095441078384e-03,
2.7572693755831885e-02, 1.7829060832189866e-02, -9.4809871001754929e-04, -9.7148166457000744e-03, -8.6011091741987674e-03, -2.8101830793821215e-03, 8.5600375431682911e-03, 2.1655566064280488e-02,
6.0224858009442120e-02, 1.1570007651454068e-02, -3.0557888017047532e-02, -2.0080196018122169e-02, -2.8101830793821215e-03, 1.1570007651454080e-02, 2.8960168490576053e-02, 5.1607009428376545e-02,
2.0329274916852175e-01, -8.4291363107079867e-02, -7.6831422955295534e-02, -1.6829331541987541e-02, 8.5600375431682859e-03, 2.8960168490576036e-02, 6.8368686038337401e-02, 1.6113662593104949e-01,
5.1146935116193382e-01, -3.4143481444414736e-01, -4.9595180021391960e-02, 3.1832095441078319e-03, 2.1655566064280481e-02, 5.1607009428376524e-02, 1.6113662593104949e-01, 7.1757965184265549e-01
]]

ZZ[2] = [[
-1.1314174220939474e-01, -3.0557888017047539e-02, 1.4553693399320848e-03, 1.5663246936579899e-02, 3.1799284274498046e-02, 6.0224858009442099e-02, 7.3925882581878502e-02, -8.4291363107079631e-02,
-3.0557888017047542e-02, -9.4809871001754181e-04, 9.7161509864839967e-03, 1.5277720981394214e-02, 1.7829060832189880e-02, 5.0430529619676454e-03, -4.9595180021391960e-02, -7.6831422955295547e-02,
1.4553693399320835e-03, 9.7161509864839950e-03, 1.1570007651454061e-02, 9.7161509864840002e-03, 1.4553693399320794e-03, -1.6829331541987548e-02, -2.9975334247481691e-02, -1.6829331541987552e-02,
1.5663246936579903e-02, 1.5277720981394224e-02, 9.7161509864839950e-03, 3.3835290812024173e-03, -2.8101830793821215e-03, -6.5853925107144835e-03, -1.9343699722362648e-03, 8.5600375431682928e-03,
3.1799284274498039e-02, 1.7829060832189880e-02, 1.4553693399320792e-03, -2.8101830793821211e-03, 5.7397888430389308e-05, 6.6250546541780668e-03, 1.7326312532965925e-02, 2.8960168490576050e-02,
6.0224858009442085e-02, 5.0430529619676454e-03, -1.6829331541987552e-02, -6.5853925107144835e-03, 6.6250546541780659e-03, 2.1459913646006083e-02, 4.3229785437312949e-02, 6.8368686038337359e-02,
7.3925882581878530e-02, -4.9595180021391967e-02, -2.9975334247481684e-02, -1.9343699722362646e-03, 1.7326312532965925e-02, 4.3229785437312963e-02, 9.4660691449325526e-02, 1.6113662593104949e-01,
-8.4291363107079631e-02, -7.6831422955295547e-02, -1.6829331541987558e-02, 8.5600375431682911e-03, 2.8960168490576040e-02, 6.8368686038337331e-02, 1.6113662593104949e-01, 2.0329274916852175e-01
]]

ZZ[3] = [[
-2.6856463425584499e-02, -9.7148166457000709e-03, 3.3835290812024152e-03, 1.5663246936579903e-02, 2.7572693755831892e-02, 3.0783243189973372e-02, 5.0430529619676428e-03, -3.0557888017047560e-02,
-9.7148166457000744e-03, 4.0040263027722923e-04, 9.7161509864839950e-03, 1.7154810162042480e-02, 1.6852145844230393e-02, 3.1832095441078354e-03, -1.6829331541987569e-02, -2.0080196018122172e-02,
3.3835290812024204e-03, 9.7161509864839932e-03, 1.5277720981394228e-02, 1.5663246936579906e-02, 8.5600375431682928e-03, -1.9343699722362694e-03, -6.5853925107144818e-03, -2.8101830793821219e-03,
1.5663246936579906e-02, 1.7154810162042497e-02, 1.5663246936579906e-02, 1.1570007651454073e-02, 6.6250546541780668e-03, 4.2688933197001441e-03, 6.6250546541780754e-03, 1.1570007651454080e-02,
2.7572693755831889e-02, 1.6852145844230393e-02, 8.5600375431682928e-03, 6.6250546541780676e-03, 8.2615392708027396e-03, 1.3224241841779741e-02, 2.1459913646006086e-02, 2.8960168490576053e-02,
3.0783243189973355e-02, 3.1832095441078358e-03, -1.9343699722362655e-03, 4.2688933197001476e-03, 1.3224241841779744e-02, 2.6172236314961943e-02, 4.3229785437312956e-02, 5.1607009428376552e-02,
5.0430529619676463e-03, -1.6829331541987576e-02, -6.5853925107144844e-03, 6.6250546541780754e-03, 2.1459913646006086e-02, 4.3229785437312970e-02, 6.8368686038337331e-02, 6.0224858009442092e-02,
-3.0557888017047549e-02, -2.0080196018122175e-02, -2.8101830793821258e-03, 1.1570007651454085e-02, 2.8960168490576040e-02, 5.1607009428376524e-02, 6.0224858009442106e-02, 1.1570007651454146e-02
]]

ZZ[4] = [[
-1.2371443942992074e-02, -9.7148166457000709e-03, 1.4553693399320838e-03, 1.6852145844230393e-02, 2.3540733448677145e-02, 1.6852145844230396e-02, 1.4553693399320790e-03, -9.7148166457000605e-03,
-9.7148166457000709e-03, -9.4809871001754072e-04, 1.7829060832189894e-02, 2.7572693755831892e-02, 2.1655566064280492e-02, 8.5600375431682894e-03, -2.8101830793821202e-03, -8.6011091741987622e-03,
1.4553693399320827e-03, 1.7829060832189891e-02, 3.1799284274498095e-02, 2.8960168490576053e-02, 1.7326312532965911e-02, 6.6250546541780728e-03, 5.7397888430390284e-05, -2.8101830793821202e-03,
1.6852145844230400e-02, 2.7572693755831906e-02, 2.8960168490576036e-02, 2.1459913646006076e-02, 1.3224241841779741e-02, 8.2615392708027396e-03, 6.6250546541780763e-03, 8.5600375431682894e-03,
2.3540733448677152e-02, 2.1655566064280485e-02, 1.7326312532965911e-02, 1.3224241841779746e-02, 1.1570007651454075e-02, 1.3224241841779737e-02, 1.7326312532965928e-02, 2.1655566064280492e-02,
1.6852145844230396e-02, 8.5600375431682980e-03, 6.6250546541780711e-03, 8.2615392708027431e-03, 1.3224241841779741e-02, 2.1459913646006083e-02, 2.8960168490576057e-02, 2.7572693755831882e-02,
1.4553693399320781e-03, -2.8101830793821241e-03, 5.7397888430390067e-05, 6.6250546541780746e-03, 1.7326312532965928e-02, 2.8960168490576040e-02, 3.1799284274498060e-02, 1.7829060832189887e-02,
-9.7148166457000605e-03, -8.6011091741987674e-03, -2.8101830793821241e-03, 8.5600375431682876e-03, 2.1655566064280485e-02, 2.7572693755831889e-02, 1.7829060832189894e-02, -9.4809871001752684e-04
]]

ZZ[5] = [[
-2.6856463425584495e-02, -3.0557888017047556e-02, 5.0430529619676706e-03, 3.0783243189973351e-02, 2.7572693755831896e-02, 1.5663246936579910e-02, 3.3835290812024178e-03, -9.7148166457000674e-03,
-3.0557888017047563e-02, 1.1570007651454104e-02, 6.0224858009442120e-02, 5.1607009428376538e-02, 2.8960168490576053e-02, 1.1570007651454068e-02, -2.8101830793821198e-03, -2.0080196018122189e-02,
5.0430529619676671e-03, 6.0224858009442127e-02, 6.8368686038337262e-02, 4.3229785437312970e-02, 2.1459913646006072e-02, 6.6250546541780702e-03, -6.5853925107144809e-03, -1.6829331541987572e-02,
3.0783243189973372e-02, 5.1607009428376524e-02, 4.3229785437312984e-02, 2.6172236314961926e-02, 1.3224241841779739e-02, 4.2688933197001433e-03, -1.9343699722362650e-03, 3.1832095441078354e-03,
2.7572693755831896e-02, 2.8960168490576040e-02, 2.1459913646006072e-02, 1.3224241841779744e-02, 8.2615392708027396e-03, 6.6250546541780711e-03, 8.5600375431682963e-03, 1.6852145844230403e-02,
1.5663246936579906e-02, 1.1570007651454075e-02, 6.6250546541780694e-03, 4.2688933197001476e-03, 6.6250546541780694e-03, 1.1570007651454082e-02, 1.5663246936579906e-02, 1.7154810162042480e-02,
3.3835290812024156e-03, -2.8101830793821237e-03, -6.5853925107144835e-03, -1.9343699722362663e-03, 8.5600375431682876e-03, 1.5663246936579906e-02, 1.5277720981394221e-02, 9.7161509864840071e-03,
-9.7148166457000640e-03, -2.0080196018122193e-02, -1.6829331541987579e-02, 3.1832095441078328e-03, 1.6852145844230393e-02, 1.7154810162042490e-02, 9.7161509864840158e-03, 4.0040263027723780e-04
]]

ZZ[6] = [[
-1.1314174220939482e-01, -8.4291363107079673e-02, 7.3925882581878571e-02, 6.0224858009442120e-02, 3.1799284274498095e-02, 1.5663246936579906e-02, 1.4553693399320796e-03, -3.0557888017047521e-02,
-8.4291363107079659e-02, 2.0329274916852191e-01, 1.6113662593104972e-01, 6.8368686038337345e-02, 2.8960168490576053e-02, 8.5600375431682911e-03, -1.6829331541987586e-02, -7.6831422955295436e-02,
7.3925882581878544e-02, 1.6113662593104972e-01, 9.4660691449325554e-02, 4.3229785437312977e-02, 1.7326312532965911e-02, -1.9343699722362705e-03, -2.9975334247481718e-02, -4.9595180021391905e-02,
6.0224858009442134e-02, 6.8368686038337317e-02, 4.3229785437312991e-02, 2.1459913646006076e-02, 6.6250546541780642e-03, -6.5853925107144809e-03, -1.6829331541987558e-02, 5.0430529619676255e-03,
3.1799284274498095e-02, 2.8960168490576043e-02, 1.7326312532965911e-02, 6.6250546541780642e-03, 5.7397888430388982e-05, -2.8101830793821219e-03, 1.4553693399320775e-03, 1.7829060832189880e-02,
1.5663246936579906e-02, 8.5600375431682980e-03, -1.9343699722362663e-03, -6.5853925107144792e-03, -2.8101830793821228e-03, 3.3835290812024126e-03, 9.7161509864839984e-03, 1.5277720981394224e-02,
1.4553693399320783e-03, -1.6829331541987593e-02, -2.9975334247481705e-02, -1.6829331541987555e-02, 1.4553693399320790e-03, 9.7161509864839950e-03, 1.1570007651454056e-02, 9.7161509864840036e-03,
-3.0557888017047511e-02, -7.6831422955295436e-02, -4.9595180021391905e-02, 5.0430529619676263e-03, 1.7829060832189884e-02, 1.5277720981394235e-02, 9.7161509864840106e-03, -9.4809871001752880e-04
]]

ZZ[7] = [[
-9.8822867936950443e-01, 5.1146935116193304e-01, 2.0329274916852175e-01, 6.0224858009442127e-02, 2.7572693755831889e-02, 1.6852145844230400e-02, 5.0430529619676263e-03, -8.4291363107079548e-02,
5.1146935116193315e-01, 7.1757965184265660e-01, 1.6113662593104972e-01, 5.1607009428376552e-02, 2.1655566064280495e-02, 3.1832095441078337e-03, -4.9595180021391905e-02, -3.4143481444414675e-01,
2.0329274916852158e-01, 1.6113662593104972e-01, 6.8368686038337345e-02, 2.8960168490576057e-02, 8.5600375431682928e-03, -1.6829331541987562e-02, -7.6831422955295450e-02, -8.4291363107079825e-02,
6.0224858009442141e-02, 5.1607009428376531e-02, 2.8960168490576043e-02, 1.1570007651454075e-02, -2.8101830793821232e-03, -2.0080196018122196e-02, -3.0557888017047515e-02, 1.1570007651454047e-02,
2.7572693755831889e-02, 2.1655566064280488e-02, 8.5600375431682928e-03, -2.8101830793821245e-03, -8.6011091741987605e-03, -9.7148166457000727e-03, -9.4809871001754788e-04, 1.7829060832189877e-02,
1.6852145844230396e-02, 3.1832095441078341e-03, -1.6829331541987565e-02, -2.0080196018122186e-02, -9.7148166457000796e-03, 4.0040263027722560e-04, 9.7161509864839984e-03, 1.7154810162042466e-02,
5.0430529619676289e-03, -4.9595180021391905e-02, -7.6831422955295423e-02, -3.0557888017047494e-02, -9.4809871001754896e-04, 9.7161509864839950e-03, 1.5277720981394212e-02, 1.7829060832189863e-02,
-8.4291363107079548e-02, -3.4143481444414681e-01, -8.4291363107079798e-02, 1.1570007651454042e-02, 1.7829060832189880e-02, 1.7154810162042480e-02, 1.7829060832189873e-02, 1.1570007651454085e-02
]]


function parse()
	local function map(f, t)
		for k,v in pairs(t) do
			t[k] = f(v)
		end
		return t
	end
	
	local function tokenizeNumbers(line)
		local t = {}
		for w in string.gmatch(line, "[^,]+") do
			table.insert(t, tonumber(w))
		end
		return t
	end

	local function tokenizeLines(lines)
		-- strip empty lines
		lines = string.gsub(lines, "^%s*\n*", "")
		lines = string.gsub(lines, "\n\n+", "\n")
		
		local t = {}
		for w in string.gmatch(lines, "(.-)\n" ) do
			table.insert(t, w)
		end
		return map(tokenizeNumbers, t)
	end

	local function parseMatrix(M)
		if M == 0 then
			-- returns a 2D table that always returns zero
			local tz, ttz = {}, {}
			setmetatable(tz,  {__index = function() return  0 end})
			setmetatable(ttz, {__index = function() return tz end})
			return ttz
		end
		
		return tokenizeLines(M)
	end

	
	XX = map(parseMatrix, XX)
	XY = map(parseMatrix, XY)
	XZ = map(parseMatrix, XZ)

	YX = map(parseMatrix, YX)
	YY = map(parseMatrix, YY)
	YZ = map(parseMatrix, YZ)

	ZX = map(parseMatrix, ZX)
	ZY = map(parseMatrix, ZY)
	ZZ = map(parseMatrix, ZZ)
end