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A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance powerflow0057r

Optimal Power Flow problem modeled using quadratic functions (rectangular coordinates)
Formats ams gms lp mod nl osil pip py
Primal Bounds (infeas ≤ 1e-08)  
Other points (infeas > 1e-08)  
Dual Bounds
0.00000000 (ANTIGONE)
0.00000000 (BARON)
0.00000000 (COUENNE)
0.00000000 (GUROBI)
0.00000000 (LINDO)
inf (SCIP)
References Hijazi, H L, Coffrin, C, and Van Hentenryck, P, Convex Quadratic Relaxations of Nonlinear Programs in Power Systems, Tech. Rep. 2013-09, Optimization Online, 2013.
Application Electricity Networks
Added to library 18 Aug 2014
Problem type QCQP
#Variables 440
#Binary Variables 0
#Integer Variables 0
#Nonlinear Variables 433
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type quadratic
Objective curvature convex
#Nonzeros in Objective 7
#Nonlinear Nonzeros in Objective 7
#Constraints 725
#Linear Constraints 143
#Quadratic Constraints 582
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 2455
#Nonlinear Nonzeros in Jacobian 1788
#Nonzeros in (Upper-Left) Hessian of Lagrangian 1057
#Nonzeros in Diagonal of Hessian of Lagrangian 433
#Blocks in Hessian of Lagrangian 320
Minimal blocksize in Hessian of Lagrangian 1
Maximal blocksize in Hessian of Lagrangian 114
Average blocksize in Hessian of Lagrangian 1.353125
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 3.0650e-01
Maximal coefficient 4.0000e+03
Infeasibility of initial point 3.77
Sparsity Jacobian Sparsity of Objective Gradient and Jacobian
Sparsity Hessian of Lagrangian Sparsity of Hessian of Lagrangian

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*        726      428       71      227        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        441      441        0        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       2463      668     1795        0
*
*  Solve m using NLP minimizing objvar;


Variables  x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18,x19
          ,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36
          ,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52,x53
          ,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69,x70
          ,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86,x87
          ,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102,x103
          ,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115,x116
          ,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128,x129
          ,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140,x141,x142
          ,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154,x155
          ,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167,x168
          ,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180,x181
          ,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193,x194
          ,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206,x207
          ,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219,x220
          ,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232,x233
          ,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245,x246
          ,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258,x259
          ,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270,x271,x272
          ,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283,x284,x285
          ,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297,x298
          ,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309,x310,x311
          ,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323,x324
          ,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335,x336,x337
          ,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348,x349,x350
          ,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361,x362,x363
          ,x364,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374,x375,x376
          ,x377,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387,x388,x389
          ,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400,x401,x402
          ,x403,x404,x405,x406,x407,x408,x409,x410,x411,x412,x413,x414,x415
          ,x416,x417,x418,x419,x420,x421,x422,x423,x424,x425,x426,x427,x428
          ,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439,x440,objvar;

Equations  e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
          ,e20,e21,e22,e23,e24,e25,e26,e27,e28,e29,e30,e31,e32,e33,e34,e35,e36
          ,e37,e38,e39,e40,e41,e42,e43,e44,e45,e46,e47,e48,e49,e50,e51,e52,e53
          ,e54,e55,e56,e57,e58,e59,e60,e61,e62,e63,e64,e65,e66,e67,e68,e69,e70
          ,e71,e72,e73,e74,e75,e76,e77,e78,e79,e80,e81,e82,e83,e84,e85,e86,e87
          ,e88,e89,e90,e91,e92,e93,e94,e95,e96,e97,e98,e99,e100,e101,e102,e103
          ,e104,e105,e106,e107,e108,e109,e110,e111,e112,e113,e114,e115,e116
          ,e117,e118,e119,e120,e121,e122,e123,e124,e125,e126,e127,e128,e129
          ,e130,e131,e132,e133,e134,e135,e136,e137,e138,e139,e140,e141,e142
          ,e143,e144,e145,e146,e147,e148,e149,e150,e151,e152,e153,e154,e155
          ,e156,e157,e158,e159,e160,e161,e162,e163,e164,e165,e166,e167,e168
          ,e169,e170,e171,e172,e173,e174,e175,e176,e177,e178,e179,e180,e181
          ,e182,e183,e184,e185,e186,e187,e188,e189,e190,e191,e192,e193,e194
          ,e195,e196,e197,e198,e199,e200,e201,e202,e203,e204,e205,e206,e207
          ,e208,e209,e210,e211,e212,e213,e214,e215,e216,e217,e218,e219,e220
          ,e221,e222,e223,e224,e225,e226,e227,e228,e229,e230,e231,e232,e233
          ,e234,e235,e236,e237,e238,e239,e240,e241,e242,e243,e244,e245,e246
          ,e247,e248,e249,e250,e251,e252,e253,e254,e255,e256,e257,e258,e259
          ,e260,e261,e262,e263,e264,e265,e266,e267,e268,e269,e270,e271,e272
          ,e273,e274,e275,e276,e277,e278,e279,e280,e281,e282,e283,e284,e285
          ,e286,e287,e288,e289,e290,e291,e292,e293,e294,e295,e296,e297,e298
          ,e299,e300,e301,e302,e303,e304,e305,e306,e307,e308,e309,e310,e311
          ,e312,e313,e314,e315,e316,e317,e318,e319,e320,e321,e322,e323,e324
          ,e325,e326,e327,e328,e329,e330,e331,e332,e333,e334,e335,e336,e337
          ,e338,e339,e340,e341,e342,e343,e344,e345,e346,e347,e348,e349,e350
          ,e351,e352,e353,e354,e355,e356,e357,e358,e359,e360,e361,e362,e363
          ,e364,e365,e366,e367,e368,e369,e370,e371,e372,e373,e374,e375,e376
          ,e377,e378,e379,e380,e381,e382,e383,e384,e385,e386,e387,e388,e389
          ,e390,e391,e392,e393,e394,e395,e396,e397,e398,e399,e400,e401,e402
          ,e403,e404,e405,e406,e407,e408,e409,e410,e411,e412,e413,e414,e415
          ,e416,e417,e418,e419,e420,e421,e422,e423,e424,e425,e426,e427,e428
          ,e429,e430,e431,e432,e433,e434,e435,e436,e437,e438,e439,e440,e441
          ,e442,e443,e444,e445,e446,e447,e448,e449,e450,e451,e452,e453,e454
          ,e455,e456,e457,e458,e459,e460,e461,e462,e463,e464,e465,e466,e467
          ,e468,e469,e470,e471,e472,e473,e474,e475,e476,e477,e478,e479,e480
          ,e481,e482,e483,e484,e485,e486,e487,e488,e489,e490,e491,e492,e493
          ,e494,e495,e496,e497,e498,e499,e500,e501,e502,e503,e504,e505,e506
          ,e507,e508,e509,e510,e511,e512,e513,e514,e515,e516,e517,e518,e519
          ,e520,e521,e522,e523,e524,e525,e526,e527,e528,e529,e530,e531,e532
          ,e533,e534,e535,e536,e537,e538,e539,e540,e541,e542,e543,e544,e545
          ,e546,e547,e548,e549,e550,e551,e552,e553,e554,e555,e556,e557,e558
          ,e559,e560,e561,e562,e563,e564,e565,e566,e567,e568,e569,e570,e571
          ,e572,e573,e574,e575,e576,e577,e578,e579,e580,e581,e582,e583,e584
          ,e585,e586,e587,e588,e589,e590,e591,e592,e593,e594,e595,e596,e597
          ,e598,e599,e600,e601,e602,e603,e604,e605,e606,e607,e608,e609,e610
          ,e611,e612,e613,e614,e615,e616,e617,e618,e619,e620,e621,e622,e623
          ,e624,e625,e626,e627,e628,e629,e630,e631,e632,e633,e634,e635,e636
          ,e637,e638,e639,e640,e641,e642,e643,e644,e645,e646,e647,e648,e649
          ,e650,e651,e652,e653,e654,e655,e656,e657,e658,e659,e660,e661,e662
          ,e663,e664,e665,e666,e667,e668,e669,e670,e671,e672,e673,e674,e675
          ,e676,e677,e678,e679,e680,e681,e682,e683,e684,e685,e686,e687,e688
          ,e689,e690,e691,e692,e693,e694,e695,e696,e697,e698,e699,e700,e701
          ,e702,e703,e704,e705,e706,e707,e708,e709,e710,e711,e712,e713,e714
          ,e715,e716,e717,e718,e719,e720,e721,e722,e723,e724,e725,e726;


e1.. 775.795*sqr(x427) + 2000*x427 + 100*sqr(x428) + 4000*x428 + 2500*sqr(x429)
      + 2000*x429 + 100*sqr(x430) + 4000*x430 + 222.222*sqr(x431) + 2000*x431
      + 100*sqr(x432) + 4000*x432 + 322.581*sqr(x433) + 2000*x433 - objvar
      =E= 0;

e2.. 0.972982165809243*x313*x329 - 1.94596433161849*sqr(x313) - 
     4.41521318938648*x313*x386 + 0.972982165809243*x329*x313 + 
     4.41521318938648*x329*x370 + 4.41521318938648*x370*x329 - 1.94596433161849
     *sqr(x370) + 0.972982165809243*x370*x386 - 4.41521318938648*x386*x313 + 
     0.972982165809243*x386*x370 + x1 =E= 0;

e3.. 0.972982165809243*x313*x329 + 4.41521318938648*x313*x386 + 
     0.972982165809243*x329*x313 - 1.94596433161849*sqr(x329) - 
     4.41521318938648*x329*x370 - 4.41521318938648*x370*x329 + 
     0.972982165809243*x370*x386 + 4.41521318938648*x386*x313 + 
     0.972982165809243*x386*x370 - 1.94596433161849*sqr(x386) + x2 =E= 0;

e4.. 2.41792634289999*x324*x325 - 4.83585268579998*sqr(x324) - 7.87863639821345
     *x324*x382 + 2.41792634289999*x325*x324 + 7.87863639821345*x325*x381 + 
     7.87863639821345*x381*x325 - 4.83585268579998*sqr(x381) + 2.41792634289999
     *x381*x382 - 7.87863639821345*x382*x324 + 2.41792634289999*x382*x381 + x3
      =E= 0;

e5.. 2.41792634289999*x324*x325 + 7.87863639821345*x324*x382 + 2.41792634289999
     *x325*x324 - 4.83585268579998*sqr(x325) - 7.87863639821345*x325*x381 - 
     7.87863639821345*x381*x325 + 2.41792634289999*x381*x382 + 7.87863639821345
     *x382*x324 + 2.41792634289999*x382*x381 - 4.83585268579998*sqr(x382) + x4
      =E= 0;

e6.. 4.149377593361*x367*x378 - 4.149377593361*x321*x424 + 4.149377593361*x378*
     x367 - 4.149377593361*x424*x321 + x5 =E= 0;

e7.. 4.149377593361*x321*x424 - 4.149377593361*x367*x378 - 4.149377593361*x378*
     x367 + 4.149377593361*x424*x321 + x6 =E= 0;

e8.. 1.61495698624181*x356*x357 - 3.22991397248362*sqr(x356) - 3.2143855399236*
     x356*x414 + 1.61495698624181*x357*x356 + 3.2143855399236*x357*x413 + 
     3.2143855399236*x413*x357 - 3.22991397248362*sqr(x413) + 1.61495698624181*
     x413*x414 - 3.2143855399236*x414*x356 + 1.61495698624181*x414*x413 + x7
      =E= 0;

e9.. 1.61495698624181*x356*x357 + 3.2143855399236*x356*x414 + 1.61495698624181*
     x357*x356 - 3.22991397248362*sqr(x357) - 3.2143855399236*x357*x413 - 
     3.2143855399236*x413*x357 + 1.61495698624181*x413*x414 + 3.2143855399236*
     x414*x356 + 1.61495698624181*x414*x413 - 3.22991397248362*sqr(x414) + x8
      =E= 0;

e10.. 7.71604938271605*x341*x376 - 7.71604938271605*x319*x398 + 
      7.71604938271605*x376*x341 - 7.71604938271605*x398*x319 + x9 =E= 0;

e11.. 7.71604938271605*x319*x398 - 7.71604938271605*x341*x376 - 
      7.71604938271605*x376*x341 + 7.71604938271605*x398*x319 + x10 =E= 0;

e12.. 1.83654955479081*x314*x315 - 3.67309910958161*sqr(x314) - 
      5.23848027373216*x314*x372 + 1.83654955479081*x315*x314 + 
      5.23848027373216*x315*x371 + 5.23848027373216*x371*x315 - 
      3.67309910958161*sqr(x371) + 1.83654955479081*x371*x372 - 
      5.23848027373216*x372*x314 + 1.83654955479081*x372*x371 + x11 =E= 0;

e13.. 1.83654955479081*x314*x315 + 5.23848027373216*x314*x372 + 
      1.83654955479081*x315*x314 - 3.67309910958161*sqr(x315) - 
      5.23848027373216*x315*x371 - 5.23848027373216*x371*x315 + 
      1.83654955479081*x371*x372 + 5.23848027373216*x372*x314 + 
      1.83654955479081*x372*x371 - 3.67309910958161*sqr(x372) + x12 =E= 0;

e14.. 10.5708245243129*x338*x393 - 10.5708245243129*x336*x395 + 
      10.5708245243129*x393*x338 - 10.5708245243129*x395*x336 + x13 =E= 0;

e15.. 10.5708245243129*x336*x395 - 10.5708245243129*x338*x393 - 
      10.5708245243129*x393*x338 + 10.5708245243129*x395*x336 + x14 =E= 0;

e16.. 0.92558311736394*x318*x319 - 1.85116623472788*sqr(x318) - 
      4.72047389855609*x318*x376 + 0.92558311736394*x319*x318 + 
      4.72047389855609*x319*x375 + 4.72047389855609*x375*x319 - 
      1.85116623472788*sqr(x375) + 0.92558311736394*x375*x376 - 
      4.72047389855609*x376*x318 + 0.92558311736394*x376*x375 + x15 =E= 0;

e17.. 0.92558311736394*x318*x319 + 4.72047389855609*x318*x376 + 
      0.92558311736394*x319*x318 - 1.85116623472788*sqr(x319) - 
      4.72047389855609*x319*x375 - 4.72047389855609*x375*x319 + 
      0.92558311736394*x375*x376 + 4.72047389855609*x376*x318 + 
      0.92558311736394*x376*x375 - 1.85116623472788*sqr(x376) + x16 =E= 0;

e18.. 1.29298038973765*x341*x364 - 2.58596077947529*sqr(x341) - 
      1.67674988128252*x341*x421 + 1.29298038973765*x364*x341 + 
      1.67674988128252*x364*x398 + 1.67674988128252*x398*x364 - 
      2.58596077947529*sqr(x398) + 1.29298038973765*x398*x421 - 
      1.67674988128252*x421*x341 + 1.29298038973765*x421*x398 + x17 =E= 0;

e19.. 1.29298038973765*x341*x364 + 1.67674988128252*x341*x421 + 
      1.29298038973765*x364*x341 - 2.58596077947529*sqr(x364) - 
      1.67674988128252*x364*x398 - 1.67674988128252*x398*x364 + 
      1.29298038973765*x398*x421 + 1.67674988128252*x421*x341 + 
      1.29298038973765*x421*x398 - 2.58596077947529*sqr(x421) + x18 =E= 0;

e20.. 2.63719948949027*x315*x327 - 5.27439897898054*sqr(x315) - 
      8.62787487302373*x315*x384 + 2.63719948949027*x327*x315 + 
      8.62787487302373*x327*x372 + 8.62787487302373*x372*x327 - 
      5.27439897898054*sqr(x372) + 2.63719948949027*x372*x384 - 
      8.62787487302373*x384*x315 + 2.63719948949027*x384*x372 + x19 =E= 0;

e21.. 2.63719948949027*x315*x327 + 8.62787487302373*x315*x384 + 
      2.63719948949027*x327*x315 - 5.27439897898054*sqr(x327) - 
      8.62787487302373*x327*x372 - 8.62787487302373*x372*x327 + 
      2.63719948949027*x372*x384 + 8.62787487302373*x384*x315 + 
      2.63719948949027*x384*x372 - 5.27439897898054*sqr(x384) + x20 =E= 0;

e22.. 0.3690036900369*x369*x408 - 0.3690036900369*x351*x426 + 0.3690036900369*
      x408*x369 - 0.3690036900369*x426*x351 + x21 =E= 0;

e23.. 0.3690036900369*x351*x426 - 0.3690036900369*x369*x408 - 0.3690036900369*
      x408*x369 + 0.3690036900369*x426*x351 + x22 =E= 0;

e24.. 2.23170968367941*x358*x359 - 4.46341936735882*sqr(x358) - 
      6.59809819522608*x358*x416 + 2.23170968367941*x359*x358 + 
      6.59809819522608*x359*x415 + 6.59809819522608*x415*x359 - 
      4.46341936735882*sqr(x415) + 2.23170968367941*x415*x416 - 
      6.59809819522608*x416*x358 + 2.23170968367941*x416*x415 + x23 =E= 0;

e25.. 2.23170968367941*x358*x359 + 6.59809819522608*x358*x416 + 
      2.23170968367941*x359*x358 - 4.46341936735882*sqr(x359) - 
      6.59809819522608*x359*x415 - 6.59809819522608*x415*x359 + 
      2.23170968367941*x415*x416 + 6.59809819522608*x416*x358 + 
      2.23170968367941*x416*x415 - 4.46341936735882*sqr(x416) + x24 =E= 0;

e26.. 1.21359223300971*x355*x410 - 1.21359223300971*x353*x412 + 
      1.21359223300971*x410*x355 - 1.21359223300971*x412*x353 + x25 =E= 0;

e27.. 1.21359223300971*x353*x412 - 1.21359223300971*x355*x410 - 
      1.21359223300971*x410*x355 + 1.21359223300971*x412*x353 + x26 =E= 0;

e28.. 0.89927077315486*x338*x339 - 1.79854154630972*sqr(x338) - 
      1.38433197806869*x338*x396 + 0.89927077315486*x339*x338 + 
      1.38433197806869*x339*x395 + 1.38433197806869*x395*x339 - 
      1.79854154630972*sqr(x395) + 0.89927077315486*x395*x396 - 
      1.38433197806869*x396*x338 + 0.89927077315486*x396*x395 + x27 =E= 0;

e29.. 0.89927077315486*x338*x339 + 1.38433197806869*x338*x396 + 
      0.89927077315486*x339*x338 - 1.79854154630972*sqr(x339) - 
      1.38433197806869*x339*x395 - 1.38433197806869*x395*x339 + 
      0.89927077315486*x395*x396 + 1.38433197806869*x396*x338 + 
      0.89927077315486*x396*x395 - 1.79854154630972*sqr(x396) + x28 =E= 0;

e30.. 1.76720674539001*x360*x361 - 3.53441349078001*sqr(x360) - 
      2.73344928243778*x360*x418 + 1.76720674539001*x361*x360 + 
      2.73344928243778*x361*x417 + 2.73344928243778*x417*x361 - 
      3.53441349078001*sqr(x417) + 1.76720674539001*x417*x418 - 
      2.73344928243778*x418*x360 + 1.76720674539001*x418*x417 + x29 =E= 0;

e31.. 1.76720674539001*x360*x361 + 2.73344928243778*x360*x418 + 
      1.76720674539001*x361*x360 - 3.53441349078001*sqr(x361) - 
      2.73344928243778*x361*x417 - 2.73344928243778*x417*x361 + 
      1.76720674539001*x417*x418 + 2.73344928243778*x418*x360 + 
      1.76720674539001*x418*x417 - 3.53441349078001*sqr(x418) + x30 =E= 0;

e32.. 2.39156682455652*x339*x340 - 4.78313364911303*sqr(x339) - 
      3.69183616606297*x339*x397 + 2.39156682455652*x340*x339 + 
      3.69183616606297*x340*x396 + 3.69183616606297*x396*x340 - 
      4.78313364911303*sqr(x396) + 2.39156682455652*x396*x397 - 
      3.69183616606297*x397*x339 + 2.39156682455652*x397*x396 + x31 =E= 0;

e33.. 2.39156682455652*x339*x340 + 3.69183616606297*x339*x397 + 
      2.39156682455652*x340*x339 - 4.78313364911303*sqr(x340) - 
      3.69183616606297*x340*x396 - 3.69183616606297*x396*x340 + 
      2.39156682455652*x396*x397 + 3.69183616606297*x397*x339 + 
      2.39156682455652*x397*x396 - 4.78313364911303*sqr(x397) + x32 =E= 0;

e34.. 0.888879807102865*x368*x369 + 1.32821120601578*x368*x426 + 
      0.888879807102865*x369*x368 - 1.77775961420573*sqr(x369) - 
      1.32821120601578*x369*x425 - 1.32821120601578*x425*x369 + 
      0.888879807102865*x425*x426 + 1.32821120601578*x426*x368 + 
      0.888879807102865*x426*x425 - 1.77775961420573*sqr(x426) + x33 =E= 0;

e35.. 0.888879807102865*x368*x369 - 1.77775961420573*sqr(x368) - 
      1.32821120601578*x368*x426 + 0.888879807102865*x369*x368 + 
      1.32821120601578*x369*x425 + 1.32821120601578*x425*x369 - 
      1.77775961420573*sqr(x425) + 0.888879807102865*x425*x426 - 
      1.32821120601578*x426*x368 + 0.888879807102865*x426*x425 + x34 =E= 0;

e36.. 4.86580918993071*x313*x314 - 9.73161837986141*sqr(x313) - 
      16.4147779901277*x313*x371 + 4.86580918993071*x314*x313 + 
      16.4147779901277*x314*x370 + 16.4147779901277*x370*x314 - 
      9.73161837986141*sqr(x370) + 4.86580918993071*x370*x371 - 
      16.4147779901277*x371*x313 + 4.86580918993071*x371*x370 + x35 =E= 0;

e37.. 4.86580918993071*x313*x314 + 16.4147779901277*x313*x371 + 
      4.86580918993071*x314*x313 - 9.73161837986141*sqr(x314) - 
      16.4147779901277*x314*x370 - 16.4147779901277*x370*x314 + 
      4.86580918993071*x370*x371 + 16.4147779901277*x371*x313 + 
      4.86580918993071*x371*x370 - 9.73161837986141*sqr(x371) + x36 =E= 0;

e38.. 1.64191490553262*x321*x323 - 3.28382981106523*sqr(x321) - 
      5.39668154996767*x321*x380 + 1.64191490553262*x323*x321 + 
      5.39668154996767*x323*x378 + 5.39668154996767*x378*x323 - 
      3.28382981106523*sqr(x378) + 1.64191490553262*x378*x380 - 
      5.39668154996767*x380*x321 + 1.64191490553262*x380*x378 + x37 =E= 0;

e39.. 1.64191490553262*x321*x323 + 5.39668154996767*x321*x380 + 
      1.64191490553262*x323*x321 - 3.28382981106523*sqr(x323) - 
      5.39668154996767*x323*x378 - 5.39668154996767*x378*x323 + 
      1.64191490553262*x378*x380 + 5.39668154996767*x380*x321 + 
      1.64191490553262*x380*x378 - 3.28382981106523*sqr(x380) + x38 =E= 0;

e40.. 2.9585798816568*x346*x347 - 5.91715976331361*sqr(x346) - 4.43786982248521
      *x346*x404 + 2.9585798816568*x347*x346 + 4.43786982248521*x347*x403 + 
      4.43786982248521*x403*x347 - 5.91715976331361*sqr(x403) + 2.9585798816568
      *x403*x404 - 4.43786982248521*x404*x346 + 2.9585798816568*x404*x403 + x39
       =E= 0;

e41.. 2.9585798816568*x346*x347 + 4.43786982248521*x346*x404 + 2.9585798816568*
      x347*x346 - 5.91715976331361*sqr(x347) - 4.43786982248521*x347*x403 - 
      4.43786982248521*x403*x347 + 2.9585798816568*x403*x404 + 4.43786982248521
      *x404*x346 + 2.9585798816568*x404*x403 - 5.91715976331361*sqr(x404) + x40
       =E= 0;

e42.. 3.82252559726962*x315*x316 - 7.64505119453925*sqr(x315) - 
      12.4914675767918*x315*x373 + 3.82252559726962*x316*x315 + 
      12.4914675767918*x316*x372 + 12.4914675767918*x372*x316 - 
      7.64505119453925*sqr(x372) + 3.82252559726962*x372*x373 - 
      12.4914675767918*x373*x315 + 3.82252559726962*x373*x372 + x41 =E= 0;

e43.. 3.82252559726962*x315*x316 + 12.4914675767918*x315*x373 + 
      3.82252559726962*x316*x315 - 7.64505119453925*sqr(x316) - 
      12.4914675767918*x316*x372 - 12.4914675767918*x372*x316 + 
      3.82252559726962*x372*x373 + 12.4914675767918*x373*x315 + 
      3.82252559726962*x373*x372 - 7.64505119453925*sqr(x373) + x42 =E= 0;

e44.. 0.510144917113811*x313*x328 - 1.02028983422762*sqr(x313) - 
      2.31475446972346*x313*x385 + 0.510144917113811*x328*x313 + 
      2.31475446972346*x328*x370 + 2.31475446972346*x370*x328 - 
      1.02028983422762*sqr(x370) + 0.510144917113811*x370*x385 - 
      2.31475446972346*x385*x313 + 0.510144917113811*x385*x370 + x43 =E= 0;

e45.. 0.510144917113811*x313*x328 + 2.31475446972346*x313*x385 + 
      0.510144917113811*x328*x313 - 1.02028983422762*sqr(x328) - 
      2.31475446972346*x328*x370 - 2.31475446972346*x370*x328 + 
      0.510144917113811*x370*x385 + 2.31475446972346*x385*x313 + 
      0.510144917113811*x385*x370 - 1.02028983422762*sqr(x385) + x44 =E= 0;

e46.. 0.829515909372086*x337*x393 - 0.829515909372086*x336*x394 + 
      0.829515909372086*x393*x337 - 0.829515909372086*x394*x336 + x45 =E= 0;

e47.. 0.829515909372086*x336*x394 - 0.829515909372086*x337*x393 - 
      0.829515909372086*x393*x337 + 0.829515909372086*x394*x336 + x46 =E= 0;

e48.. 5.95232165449637*x349*x351 - 11.9046433089927*sqr(x349) - 
      9.43903726800889*x349*x408 + 5.95232165449637*x351*x349 + 
      9.43903726800889*x351*x406 + 9.43903726800889*x406*x351 - 
      11.9046433089927*sqr(x406) + 5.95232165449637*x406*x408 - 
      9.43903726800889*x408*x349 + 5.95232165449637*x408*x406 + x47 =E= 0;

e49.. 5.95232165449637*x349*x351 + 9.43903726800889*x349*x408 + 
      5.95232165449637*x351*x349 - 11.9046433089927*sqr(x351) - 
      9.43903726800889*x351*x406 - 9.43903726800889*x406*x351 + 
      5.95232165449637*x406*x408 + 9.43903726800889*x408*x349 + 
      5.95232165449637*x408*x406 - 11.9046433089927*sqr(x408) + x48 =E= 0;

e50.. 1.4650554963022*x316*x317 - 2.9301109926044*sqr(x316) - 3.09419720819025*
      x316*x374 + 1.4650554963022*x317*x316 + 3.09419720819025*x317*x373 + 
      3.09419720819025*x373*x317 - 2.9301109926044*sqr(x373) + 1.4650554963022*
      x373*x374 - 3.09419720819025*x374*x316 + 1.4650554963022*x374*x373 + x49
       =E= 0;

e51.. 1.4650554963022*x316*x317 + 3.09419720819025*x316*x374 + 1.4650554963022*
      x317*x316 - 2.9301109926044*sqr(x317) - 3.09419720819025*x317*x373 - 
      3.09419720819025*x373*x317 + 1.4650554963022*x373*x374 + 3.09419720819025
      *x374*x316 + 1.4650554963022*x374*x373 - 2.9301109926044*sqr(x374) + x50
       =E= 0;

e52.. 1.1435057344695*x337*x342 - 2.287011468939*sqr(x337) - 1.71102339528029*
      x337*x399 + 1.1435057344695*x342*x337 + 1.71102339528029*x342*x394 + 
      1.71102339528029*x394*x342 - 2.287011468939*sqr(x394) + 1.1435057344695*
      x394*x399 - 1.71102339528029*x399*x337 + 1.1435057344695*x399*x394 + x51
       =E= 0;

e53.. 1.1435057344695*x337*x342 + 1.71102339528029*x337*x399 + 1.1435057344695*
      x342*x337 - 2.287011468939*sqr(x342) - 1.71102339528029*x342*x394 - 
      1.71102339528029*x394*x342 + 1.1435057344695*x394*x399 + 1.71102339528029
      *x399*x337 + 1.1435057344695*x399*x394 - 2.287011468939*sqr(x399) + x52
       =E= 0;

e54.. 0.891591114166631*x335*x336 - 1.78318222833326*sqr(x335) - 
      1.37498388690758*x335*x393 + 0.891591114166631*x336*x335 + 
      1.37498388690758*x336*x392 + 1.37498388690758*x392*x336 - 
      1.78318222833326*sqr(x392) + 0.891591114166631*x392*x393 - 
      1.37498388690758*x393*x335 + 0.891591114166631*x393*x392 + x53 =E= 0;

e55.. 0.891591114166631*x335*x336 + 1.37498388690758*x335*x393 + 
      0.891591114166631*x336*x335 - 1.78318222833326*sqr(x336) - 
      1.37498388690758*x336*x392 - 1.37498388690758*x392*x336 + 
      0.891591114166631*x392*x393 + 1.37498388690758*x393*x335 + 
      0.891591114166631*x393*x392 - 1.78318222833326*sqr(x393) + x54 =E= 0;

e56.. 6.91934026208766*x344*x345 - 13.8386805241753*sqr(x344) - 6.3544961590601
      *x344*x402 + 6.91934026208766*x345*x344 + 6.3544961590601*x345*x401 + 
      6.3544961590601*x401*x345 - 13.8386805241753*sqr(x401) + 6.91934026208766
      *x401*x402 - 6.3544961590601*x402*x344 + 6.91934026208766*x402*x401 + x55
       =E= 0;

e57.. 6.91934026208766*x344*x345 + 6.3544961590601*x344*x402 + 6.91934026208766
      *x345*x344 - 13.8386805241753*sqr(x345) - 6.3544961590601*x345*x401 - 
      6.3544961590601*x401*x345 + 6.91934026208766*x401*x402 + 6.3544961590601*
      x402*x344 + 6.91934026208766*x402*x401 - 13.8386805241753*sqr(x402) + x56
       =E= 0;

e58.. 4.0247028170994*x340*x341 - 8.0494056341988*sqr(x340) - 5.65191520008935*
      x340*x398 + 4.0247028170994*x341*x340 + 5.65191520008935*x341*x397 + 
      5.65191520008935*x397*x341 - 8.0494056341988*sqr(x397) + 4.0247028170994*
      x397*x398 - 5.65191520008935*x398*x340 + 4.0247028170994*x398*x397 + x57
       =E= 0;

e59.. 4.0247028170994*x340*x341 + 5.65191520008935*x340*x398 + 4.0247028170994*
      x341*x340 - 8.0494056341988*sqr(x341) - 5.65191520008935*x341*x397 - 
      5.65191520008935*x397*x341 + 4.0247028170994*x397*x398 + 5.65191520008935
      *x398*x340 + 4.0247028170994*x398*x397 - 8.0494056341988*sqr(x398) + x58
       =E= 0;

e60.. 0.623268596501777*x354*x368 + 1.03829215605472*x354*x425 + 
      0.623268596501777*x368*x354 - 1.24653719300355*sqr(x368) - 
      1.03829215605472*x368*x411 - 1.03829215605472*x411*x368 + 
      0.623268596501777*x411*x425 + 1.03829215605472*x425*x354 + 
      0.623268596501777*x425*x411 - 1.24653719300355*sqr(x425) + x59 =E= 0;

e61.. 0.623268596501777*x354*x368 - 1.24653719300355*sqr(x354) - 
      1.03829215605472*x354*x425 + 0.623268596501777*x368*x354 + 
      1.03829215605472*x368*x411 + 1.03829215605472*x411*x368 - 
      1.24653719300355*sqr(x411) + 0.623268596501777*x411*x425 - 
      1.03829215605472*x425*x354 + 0.623268596501777*x425*x411 + x60 =E= 0;

e62.. 1.86915182044059*x320*x321 - 3.73830364088118*sqr(x320) - 
      9.53456231638887*x320*x378 + 1.86915182044059*x321*x320 + 
      9.53456231638887*x321*x377 + 9.53456231638887*x377*x321 - 
      3.73830364088118*sqr(x377) + 1.86915182044059*x377*x378 - 
      9.53456231638887*x378*x320 + 1.86915182044059*x378*x377 + x61 =E= 0;

e63.. 1.86915182044059*x320*x321 + 9.53456231638887*x320*x378 + 
      1.86915182044059*x321*x320 - 3.73830364088118*sqr(x321) - 
      9.53456231638887*x321*x377 - 9.53456231638887*x377*x321 + 
      1.86915182044059*x377*x378 + 9.53456231638887*x378*x320 + 
      1.86915182044059*x378*x377 - 3.73830364088118*sqr(x378) + x62 =E= 0;

e64.. 7.74887197410585*x334*x350 - 15.4977439482117*sqr(x334) - 
      11.9058189185481*x334*x407 + 7.74887197410585*x350*x334 + 
      11.9058189185481*x350*x391 + 11.9058189185481*x391*x350 - 
      15.4977439482117*sqr(x391) + 7.74887197410585*x391*x407 - 
      11.9058189185481*x407*x334 + 7.74887197410585*x407*x391 + x63 =E= 0;

e65.. 7.74887197410585*x334*x350 + 11.9058189185481*x334*x407 + 
      7.74887197410585*x350*x334 - 15.4977439482117*sqr(x350) - 
      11.9058189185481*x350*x391 - 11.9058189185481*x391*x350 + 
      7.74887197410585*x391*x407 + 11.9058189185481*x407*x334 + 
      7.74887197410585*x407*x391 - 15.4977439482117*sqr(x407) + x64 =E= 0;

e66.. 0.643749195313506*x332*x390 - 0.643749195313506*x333*x389 - 
      0.643749195313506*x389*x333 + 0.643749195313506*x390*x332 + x65 =E= 0;

e67.. 0.643749195313506*x333*x389 - 0.643749195313506*x332*x390 + 
      0.643749195313506*x389*x333 - 0.643749195313506*x390*x332 + x66 =E= 0;

e68.. 4.79846449136276*x357*x384 - 4.79846449136276*x327*x414 + 
      4.79846449136276*x384*x357 - 4.79846449136276*x414*x327 + x67 =E= 0;

e69.. 4.79846449136276*x327*x414 - 4.79846449136276*x357*x384 - 
      4.79846449136276*x384*x357 + 4.79846449136276*x414*x327 + x68 =E= 0;

e70.. 2.45981018787527*x364*x365 - 4.91962037575053*sqr(x364) - 3.1764478016657
      *x364*x422 + 2.45981018787527*x365*x364 + 3.1764478016657*x365*x421 + 
      3.1764478016657*x421*x365 - 4.91962037575053*sqr(x421) + 2.45981018787527
      *x421*x422 - 3.1764478016657*x422*x364 + 2.45981018787527*x422*x421 + x69
       =E= 0;

e71.. 2.45981018787527*x364*x365 + 3.1764478016657*x364*x422 + 2.45981018787527
      *x365*x364 - 4.91962037575053*sqr(x365) - 3.1764478016657*x365*x421 - 
      3.1764478016657*x421*x365 + 2.45981018787527*x421*x422 + 3.1764478016657*
      x422*x364 + 2.45981018787527*x422*x421 - 4.91962037575053*sqr(x422) + x70
       =E= 0;

e72.. 0.524658971668416*x344*x403 - 0.524658971668416*x346*x401 - 
      0.524658971668416*x401*x346 + 0.524658971668416*x403*x344 + x71 =E= 0;

e73.. 0.524658971668416*x346*x401 - 0.524658971668416*x344*x403 + 
      0.524658971668416*x401*x346 - 0.524658971668416*x403*x344 + x72 =E= 0;

e74.. 0.62432280432945*x321*x322 - 1.2486456086589*sqr(x321) - 2.84075335628495
      *x321*x379 + 0.62432280432945*x322*x321 + 2.84075335628495*x322*x378 + 
      2.84075335628495*x378*x322 - 1.2486456086589*sqr(x378) + 0.62432280432945
      *x378*x379 - 2.84075335628495*x379*x321 + 0.62432280432945*x379*x378
       + x73 =E= 0;

e75.. 0.62432280432945*x321*x322 + 2.84075335628495*x321*x379 + 
      0.62432280432945*x322*x321 - 1.2486456086589*sqr(x322) - 2.84075335628495
      *x322*x378 - 2.84075335628495*x378*x322 + 0.62432280432945*x378*x379 + 
      2.84075335628495*x379*x321 + 0.62432280432945*x379*x378 - 1.2486456086589
      *sqr(x379) + x74 =E= 0;

e76.. 0.455361407091451*x353*x368 + 0.452067653694768*x353*x425 + 
      0.455361407091451*x368*x353 - 0.910722814182902*sqr(x368) - 
      0.452067653694768*x368*x410 - 0.452067653694768*x410*x368 + 
      0.455361407091451*x410*x425 + 0.452067653694768*x425*x353 + 
      0.455361407091451*x425*x410 - 0.910722814182902*sqr(x425) + x75 =E= 0;

e77.. 0.455361407091451*x353*x368 - 0.910722814182902*sqr(x353) - 
      0.452067653694768*x353*x425 + 0.455361407091451*x368*x353 + 
      0.452067653694768*x368*x410 + 0.452067653694768*x410*x368 - 
      0.910722814182902*sqr(x410) + 0.455361407091451*x410*x425 - 
      0.452067653694768*x425*x353 + 0.455361407091451*x425*x410 + x76 =E= 0;

e78.. 1.62533443219636*x325*x327 - 3.25066886439273*sqr(x325) - 
      5.25061569360089*x325*x384 + 1.62533443219636*x327*x325 + 
      5.25061569360089*x327*x382 + 5.25061569360089*x382*x327 - 
      3.25066886439273*sqr(x382) + 1.62533443219636*x382*x384 - 
      5.25061569360089*x384*x325 + 1.62533443219636*x384*x382 + x77 =E= 0;

e79.. 1.62533443219636*x325*x327 + 5.25061569360089*x325*x384 + 
      1.62533443219636*x327*x325 - 3.25066886439273*sqr(x327) - 
      5.25061569360089*x327*x382 - 5.25061569360089*x382*x327 + 
      1.62533443219636*x382*x384 + 5.25061569360089*x384*x325 + 
      1.62533443219636*x384*x382 - 3.25066886439273*sqr(x384) + x78 =E= 0;

e80.. 0.306502199319529*x343*x344 - 0.613004398639058*sqr(x343) - 
      0.456428324430462*x343*x401 + 0.306502199319529*x344*x343 + 
      0.456428324430462*x344*x400 + 0.456428324430462*x400*x344 - 
      0.613004398639058*sqr(x400) + 0.306502199319529*x400*x401 - 
      0.456428324430462*x401*x343 + 0.306502199319529*x401*x400 + x79 =E= 0;

e81.. 0.306502199319529*x343*x344 + 0.456428324430462*x343*x401 + 
      0.306502199319529*x344*x343 - 0.613004398639058*sqr(x344) - 
      0.456428324430462*x344*x400 - 0.456428324430462*x400*x344 + 
      0.306502199319529*x400*x401 + 0.456428324430462*x401*x343 + 
      0.306502199319529*x401*x400 - 0.613004398639058*sqr(x401) + x80 =E= 0;

e82.. 0.545398206653472*x318*x320 - 1.09079641330694*sqr(x318) - 
      2.78330058262686*x318*x377 + 0.545398206653472*x320*x318 + 
      2.78330058262686*x320*x375 + 2.78330058262686*x375*x320 - 
      1.09079641330694*sqr(x375) + 0.545398206653472*x375*x377 - 
      2.78330058262686*x377*x318 + 0.545398206653472*x377*x375 + x81 =E= 0;

e83.. 0.545398206653472*x318*x320 + 2.78330058262686*x318*x377 + 
      0.545398206653472*x320*x318 - 1.09079641330694*sqr(x320) - 
      2.78330058262686*x320*x375 - 2.78330058262686*x375*x320 + 
      0.545398206653472*x375*x377 + 2.78330058262686*x377*x318 + 
      0.545398206653472*x377*x375 - 1.09079641330694*sqr(x377) + x82 =E= 0;

e84.. 6.80272108843537*x358*x383 - 6.80272108843537*x326*x415 + 
      6.80272108843537*x383*x358 - 6.80272108843537*x415*x326 + x83 =E= 0;

e85.. 6.80272108843537*x326*x415 - 6.80272108843537*x358*x383 - 
      6.80272108843537*x383*x358 + 6.80272108843537*x415*x326 + x84 =E= 0;

e86.. 1.29056874803609*x350*x361 - 2.58113749607218*sqr(x350) - 
      1.98635363828164*x350*x418 + 1.29056874803609*x361*x350 + 
      1.98635363828164*x361*x407 + 1.98635363828164*x407*x361 - 
      2.58113749607218*sqr(x407) + 1.29056874803609*x407*x418 - 
      1.98635363828164*x418*x350 + 1.29056874803609*x418*x407 + x85 =E= 0;

e87.. 1.29056874803609*x350*x361 + 1.98635363828164*x350*x418 + 
      1.29056874803609*x361*x350 - 2.58113749607218*sqr(x361) - 
      1.98635363828164*x361*x407 - 1.98635363828164*x407*x361 + 
      1.29056874803609*x407*x418 + 1.98635363828164*x418*x350 + 
      1.29056874803609*x418*x407 - 2.58113749607218*sqr(x418) + x86 =E= 0;

e88.. 0.829652809767499*x322*x324 - 1.659305619535*sqr(x322) - 3.77986225966276
      *x322*x381 + 0.829652809767499*x324*x322 + 3.77986225966276*x324*x379 + 
      3.77986225966276*x379*x324 - 1.659305619535*sqr(x379) + 0.829652809767499
      *x379*x381 - 3.77986225966276*x381*x322 + 0.829652809767499*x381*x379
       + x87 =E= 0;

e89.. 0.829652809767499*x322*x324 + 3.77986225966276*x322*x381 + 
      0.829652809767499*x324*x322 - 1.659305619535*sqr(x324) - 3.77986225966276
      *x324*x379 - 3.77986225966276*x379*x324 + 0.829652809767499*x379*x381 + 
      3.77986225966276*x381*x322 + 0.829652809767499*x381*x379 - 1.659305619535
      *sqr(x381) + x88 =E= 0;

e90.. 4.73203343970297*x350*x360 - 9.46406687940595*sqr(x350) - 
      7.31038499338729*x350*x417 + 4.73203343970297*x360*x350 + 
      7.31038499338729*x360*x407 + 7.31038499338729*x407*x360 - 
      9.46406687940595*sqr(x407) + 4.73203343970297*x407*x417 - 
      7.31038499338729*x417*x350 + 4.73203343970297*x417*x407 + x89 =E= 0;

e91.. 4.73203343970297*x350*x360 + 7.31038499338729*x350*x417 + 
      4.73203343970297*x360*x350 - 9.46406687940595*sqr(x360) - 
      7.31038499338729*x360*x407 - 7.31038499338729*x407*x360 + 
      4.73203343970297*x407*x417 + 7.31038499338729*x417*x350 + 
      4.73203343970297*x417*x407 - 9.46406687940595*sqr(x417) + x90 =E= 0;

e92.. 1.03514371051334*x313*x327 - 2.07028742102668*sqr(x313) - 
      5.29202683464684*x313*x384 + 1.03514371051334*x327*x313 + 
      5.29202683464684*x327*x370 + 5.29202683464684*x370*x327 - 
      2.07028742102668*sqr(x370) + 1.03514371051334*x370*x384 - 
      5.29202683464684*x384*x313 + 1.03514371051334*x384*x370 + x91 =E= 0;

e93.. 1.03514371051334*x313*x327 + 5.29202683464684*x313*x384 + 
      1.03514371051334*x327*x313 - 2.07028742102668*sqr(x327) - 
      5.29202683464684*x327*x370 - 5.29202683464684*x370*x327 + 
      1.03514371051334*x370*x384 + 5.29202683464684*x384*x313 + 
      1.03514371051334*x384*x370 - 2.07028742102668*sqr(x384) + x92 =E= 0;

e94.. 1.92610054663571*x333*x334 - 3.85220109327142*sqr(x333) - 
      3.06187179288557*x333*x391 + 1.92610054663571*x334*x333 + 
      3.06187179288557*x334*x390 + 3.06187179288557*x390*x334 - 
      3.85220109327142*sqr(x390) + 1.92610054663571*x390*x391 - 
      3.06187179288557*x391*x333 + 1.92610054663571*x391*x390 + x93 =E= 0;

e95.. 1.92610054663571*x333*x334 + 3.06187179288557*x333*x391 + 
      1.92610054663571*x334*x333 - 3.85220109327142*sqr(x334) - 
      3.06187179288557*x334*x390 - 3.06187179288557*x390*x334 + 
      1.92610054663571*x390*x391 + 3.06187179288557*x391*x333 + 
      1.92610054663571*x391*x390 - 3.85220109327142*sqr(x391) + x94 =E= 0;

e96.. 0.90514882330653*x316*x318 - 1.81029764661306*sqr(x316) - 
      3.11539594998527*x316*x375 + 0.90514882330653*x318*x316 + 
      3.11539594998527*x318*x373 + 3.11539594998527*x373*x318 - 
      1.81029764661306*sqr(x373) + 0.90514882330653*x373*x375 - 
      3.11539594998527*x375*x316 + 0.90514882330653*x375*x373 + x95 =E= 0;

e97.. 0.90514882330653*x316*x318 + 3.11539594998527*x316*x375 + 
      0.90514882330653*x318*x316 - 1.81029764661306*sqr(x318) - 
      3.11539594998527*x318*x373 - 3.11539594998527*x373*x318 + 
      0.90514882330653*x373*x375 + 3.11539594998527*x375*x316 + 
      0.90514882330653*x375*x373 - 1.81029764661306*sqr(x375) + x96 =E= 0;

e98.. 3.007458896402*x317*x318 - 6.01491779280401*sqr(x317) - 6.38338129997909*
      x317*x375 + 3.007458896402*x318*x317 + 6.38338129997909*x318*x374 + 
      6.38338129997909*x374*x318 - 6.01491779280401*sqr(x374) + 3.007458896402*
      x374*x375 - 6.38338129997909*x375*x317 + 3.007458896402*x375*x374 + x97
       =E= 0;

e99.. 3.007458896402*x317*x318 + 6.38338129997909*x317*x375 + 3.007458896402*
      x318*x317 - 6.01491779280401*sqr(x318) - 6.38338129997909*x318*x374 - 
      6.38338129997909*x374*x318 + 3.007458896402*x374*x375 + 6.38338129997909*
      x375*x317 + 3.007458896402*x375*x374 - 6.01491779280401*sqr(x375) + x98
       =E= 0;

e100.. 4.54287096767378*x347*x348 - 9.08574193534755*sqr(x347) - 
       5.67330630149027*x347*x405 + 4.54287096767378*x348*x347 + 
       5.67330630149027*x348*x404 + 5.67330630149027*x404*x348 - 
       9.08574193534755*sqr(x404) + 4.54287096767378*x404*x405 - 
       5.67330630149027*x405*x347 + 4.54287096767378*x405*x404 + x99 =E= 0;

e101.. 4.54287096767378*x347*x348 + 5.67330630149027*x347*x405 + 
       4.54287096767378*x348*x347 - 9.08574193534755*sqr(x348) - 
       5.67330630149027*x348*x404 - 5.67330630149027*x404*x348 + 
       4.54287096767378*x404*x405 + 5.67330630149027*x405*x347 + 
       4.54287096767378*x405*x404 - 9.08574193534755*sqr(x405) + x100 =E= 0;

e102.. 1.02499690873948*x362*x363 - 2.04999381747896*sqr(x362) - 
       1.6269792202214*x362*x420 + 1.02499690873948*x363*x362 + 1.6269792202214
       *x363*x419 + 1.6269792202214*x419*x363 - 2.04999381747896*sqr(x419) + 
       1.02499690873948*x419*x420 - 1.6269792202214*x420*x362 + 
       1.02499690873948*x420*x419 + x101 =E= 0;

e103.. 1.02499690873948*x362*x363 + 1.6269792202214*x362*x420 + 
       1.02499690873948*x363*x362 - 2.04999381747896*sqr(x363) - 
       1.6269792202214*x363*x419 - 1.6269792202214*x419*x363 + 1.02499690873948
       *x419*x420 + 1.6269792202214*x420*x362 + 1.02499690873948*x420*x419 - 
       2.04999381747896*sqr(x420) + x102 =E= 0;

e104.. 2.06369159857865*x330*x373 - 2.06369159857865*x316*x387 + 
       2.06369159857865*x373*x330 - 2.06369159857865*x387*x316 + x103 =E= 0;

e105.. 2.06369159857865*x316*x387 - 2.06369159857865*x330*x373 - 
       2.06369159857865*x373*x330 + 2.06369159857865*x387*x316 + x104 =E= 0;

e106.. 0.881675484032509*x321*x325 - 1.76335096806502*sqr(x321) - 
       2.89614815960782*x321*x382 + 0.881675484032509*x325*x321 + 
       2.89614815960782*x325*x378 + 2.89614815960782*x378*x325 - 
       1.76335096806502*sqr(x378) + 0.881675484032509*x378*x382 - 
       2.89614815960782*x382*x321 + 0.881675484032509*x382*x378 + x105 =E= 0;

e107.. 0.881675484032509*x321*x325 + 2.89614815960782*x321*x382 + 
       0.881675484032509*x325*x321 - 1.76335096806502*sqr(x325) - 
       2.89614815960782*x325*x378 - 2.89614815960782*x378*x325 + 
       0.881675484032509*x378*x382 + 2.89614815960782*x382*x321 + 
       0.881675484032509*x382*x378 - 1.76335096806502*sqr(x382) + x106 =E= 0;

e108.. 7.02247191011236*x363*x379 - 7.02247191011236*x322*x420 + 
       7.02247191011236*x379*x363 - 7.02247191011236*x420*x322 + x107 =E= 0;

e109.. 7.02247191011236*x322*x420 - 7.02247191011236*x363*x379 - 
       7.02247191011236*x379*x363 + 7.02247191011236*x420*x322 + x108 =E= 0;

e110.. 1.29801015043938*x324*x328 - 2.59602030087875*sqr(x324) - 
       5.86267917948452*x324*x385 + 1.29801015043938*x328*x324 + 
       5.86267917948452*x328*x381 + 5.86267917948452*x381*x328 - 
       2.59602030087875*sqr(x381) + 1.29801015043938*x381*x385 - 
       5.86267917948452*x385*x324 + 1.29801015043938*x385*x381 + x109 =E= 0;

e111.. 1.29801015043938*x324*x328 + 5.86267917948452*x324*x385 + 
       1.29801015043938*x328*x324 - 2.59602030087875*sqr(x328) - 
       5.86267917948452*x328*x381 - 5.86267917948452*x381*x328 + 
       1.29801015043938*x381*x385 + 5.86267917948452*x385*x324 + 
       1.29801015043938*x385*x381 - 2.59602030087875*sqr(x385) + x110 =E= 0;

e112.. 3.20730877636311*x325*x326 - 6.41461755272621*sqr(x325) - 
       10.5452424919817*x325*x383 + 3.20730877636311*x326*x325 + 
       10.5452424919817*x326*x382 + 10.5452424919817*x382*x326 - 
       6.41461755272621*sqr(x382) + 3.20730877636311*x382*x383 - 
       10.5452424919817*x383*x325 + 3.20730877636311*x383*x382 + x111 =E= 0;

e113.. 3.20730877636311*x325*x326 + 10.5452424919817*x325*x383 + 
       3.20730877636311*x326*x325 - 6.41461755272621*sqr(x326) - 
       10.5452424919817*x326*x382 - 10.5452424919817*x382*x326 + 
       3.20730877636311*x382*x383 + 10.5452424919817*x383*x325 + 
       3.20730877636311*x383*x382 - 6.41461755272621*sqr(x383) + x112 =E= 0;

e114.. 10.4103508631439*x359*x360 - 20.8207017262879*sqr(x359) - 
       13.3275370940249*x359*x417 + 10.4103508631439*x360*x359 + 
       13.3275370940249*x360*x416 + 13.3275370940249*x416*x360 - 
       20.8207017262879*sqr(x416) + 10.4103508631439*x416*x417 - 
       13.3275370940249*x417*x359 + 10.4103508631439*x417*x416 + x113 =E= 0;

e115.. 10.4103508631439*x359*x360 + 13.3275370940249*x359*x417 + 
       10.4103508631439*x360*x359 - 20.8207017262879*sqr(x360) - 
       13.3275370940249*x360*x416 - 13.3275370940249*x416*x360 + 
       10.4103508631439*x416*x417 + 13.3275370940249*x417*x359 + 
       10.4103508631439*x417*x416 - 20.8207017262879*sqr(x417) + x114 =E= 0;

e116.. 0.461383868548056*x342*x343 - 0.922767737096112*sqr(x342) - 
       0.703398106344736*x342*x400 + 0.461383868548056*x343*x342 + 
       0.703398106344736*x343*x399 + 0.703398106344736*x399*x343 - 
       0.922767737096112*sqr(x399) + 0.461383868548056*x399*x400 - 
       0.703398106344736*x400*x342 + 0.461383868548056*x400*x399 + x115 =E= 0;

e117.. 0.461383868548056*x342*x343 + 0.703398106344736*x342*x400 + 
       0.461383868548056*x343*x342 - 0.922767737096112*sqr(x343) - 
       0.703398106344736*x343*x399 - 0.703398106344736*x399*x343 + 
       0.461383868548056*x399*x400 + 0.703398106344736*x400*x342 + 
       0.461383868548056*x400*x399 - 0.922767737096112*sqr(x400) + x116 =E= 0;

e118.. 0.620678488542935*x353*x354 - 1.24135697708587*sqr(x353) - 
       1.05545327520344*x353*x411 + 0.620678488542935*x354*x353 + 
       1.05545327520344*x354*x410 + 1.05545327520344*x410*x354 - 
       1.24135697708587*sqr(x410) + 0.620678488542935*x410*x411 - 
       1.05545327520344*x411*x353 + 0.620678488542935*x411*x410 + x117 =E= 0;

e119.. 0.620678488542935*x353*x354 + 1.05545327520344*x353*x411 + 
       0.620678488542935*x354*x353 - 1.24135697708587*sqr(x354) - 
       1.05545327520344*x354*x410 - 1.05545327520344*x410*x354 + 
       0.620678488542935*x410*x411 + 1.05545327520344*x411*x353 + 
       0.620678488542935*x411*x410 - 1.24135697708587*sqr(x411) + x118 =E= 0;

e120.. 1.32062744054801*x319*x320 - 2.64125488109603*sqr(x319) - 
       6.76465278899414*x319*x377 + 1.32062744054801*x320*x319 + 
       6.76465278899414*x320*x376 + 6.76465278899414*x376*x320 - 
       2.64125488109603*sqr(x376) + 1.32062744054801*x376*x377 - 
       6.76465278899414*x377*x319 + 1.32062744054801*x377*x376 + x119 =E= 0;

e121.. 1.32062744054801*x319*x320 + 6.76465278899414*x319*x377 + 
       1.32062744054801*x320*x319 - 2.64125488109603*sqr(x320) - 
       6.76465278899414*x320*x376 - 6.76465278899414*x376*x320 + 
       1.32062744054801*x376*x377 + 6.76465278899414*x377*x319 + 
       1.32062744054801*x377*x376 - 2.64125488109603*sqr(x377) + x120 =E= 0;

e122.. 15.0433064883756*x334*x335 - 30.0866129767513*sqr(x334) - 
       23.0967938003343*x334*x392 + 15.0433064883756*x335*x334 + 
       23.0967938003343*x335*x391 + 23.0967938003343*x391*x335 - 
       30.0866129767513*sqr(x391) + 15.0433064883756*x391*x392 - 
       23.0967938003343*x392*x334 + 15.0433064883756*x392*x391 + x121 =E= 0;

e123.. 15.0433064883756*x334*x335 + 23.0967938003343*x334*x392 + 
       15.0433064883756*x335*x334 - 30.0866129767513*sqr(x335) - 
       23.0967938003343*x335*x391 - 23.0967938003343*x391*x335 + 
       15.0433064883756*x391*x392 + 23.0967938003343*x392*x334 + 
       15.0433064883756*x392*x391 - 30.0866129767513*sqr(x392) + x122 =E= 0;

e124.. 0.667556742323097*x353*x380 - 0.667556742323097*x323*x410 + 
       0.667556742323097*x380*x353 - 0.667556742323097*x410*x323 + x123 =E= 0;

e125.. 0.667556742323097*x323*x410 - 0.667556742323097*x353*x380 - 
       0.667556742323097*x380*x353 + 0.667556742323097*x410*x323 + x124 =E= 0;

e126.. 2.60313594154361*x326*x327 - 5.20627188308723*sqr(x326) - 
       8.32699040949916*x326*x384 + 2.60313594154361*x327*x326 + 
       8.32699040949916*x327*x383 + 8.32699040949916*x383*x327 - 
       5.20627188308723*sqr(x383) + 2.60313594154361*x383*x384 - 
       8.32699040949916*x384*x326 + 2.60313594154361*x384*x383 + x125 =E= 0;

e127.. 2.60313594154361*x326*x327 + 8.32699040949916*x326*x384 + 
       2.60313594154361*x327*x326 - 5.20627188308723*sqr(x327) - 
       8.32699040949916*x327*x383 - 8.32699040949916*x383*x327 + 
       2.60313594154361*x383*x384 + 8.32699040949916*x384*x326 + 
       2.60313594154361*x384*x383 - 5.20627188308723*sqr(x384) + x126 =E= 0;

e128.. 1.7565781769394*x361*x362 - 3.51315635387879*sqr(x361) - 
       2.80701631271214*x361*x419 + 1.7565781769394*x362*x361 + 
       2.80701631271214*x362*x418 + 2.80701631271214*x418*x362 - 
       3.51315635387879*sqr(x418) + 1.7565781769394*x418*x419 - 
       2.80701631271214*x419*x361 + 1.7565781769394*x419*x418 + x127 =E= 0;

e129.. 1.7565781769394*x361*x362 + 2.80701631271214*x361*x419 + 1.7565781769394
       *x362*x361 - 3.51315635387879*sqr(x362) - 2.80701631271214*x362*x418 - 
       2.80701631271214*x418*x362 + 1.7565781769394*x418*x419 + 
       2.80701631271214*x419*x361 + 1.7565781769394*x419*x418 - 
       3.51315635387879*sqr(x419) + x128 =E= 0;

e130.. 3.26797385620915*x355*x380 - 3.26797385620915*x323*x412 + 
       3.26797385620915*x380*x355 - 3.26797385620915*x412*x323 + x129 =E= 0;

e131.. 3.26797385620915*x323*x412 - 3.26797385620915*x355*x380 - 
       3.26797385620915*x380*x355 + 3.26797385620915*x412*x323 + x130 =E= 0;

e132.. 0.338102460447146*x330*x331 - 0.676204920894292*sqr(x330) - 
       0.502386519319512*x330*x388 + 0.338102460447146*x331*x330 + 
       0.502386519319512*x331*x387 + 0.502386519319512*x387*x331 - 
       0.676204920894292*sqr(x387) + 0.338102460447146*x387*x388 - 
       0.502386519319512*x388*x330 + 0.338102460447146*x388*x387 + x131 =E= 0;

e133.. 0.338102460447146*x330*x331 + 0.502386519319512*x330*x388 + 
       0.338102460447146*x331*x330 - 0.676204920894292*sqr(x331) - 
       0.502386519319512*x331*x387 - 0.502386519319512*x387*x331 + 
       0.338102460447146*x387*x388 + 0.502386519319512*x388*x330 + 
       0.338102460447146*x388*x387 - 0.676204920894292*sqr(x388) + x132 =E= 0;

e134.. 1.90418288353061*x323*x325 - 3.80836576706122*sqr(x323) - 
       6.25050166253097*x323*x382 + 1.90418288353061*x325*x323 + 
       6.25050166253097*x325*x380 + 6.25050166253097*x380*x325 - 
       3.80836576706122*sqr(x380) + 1.90418288353061*x380*x382 - 
       6.25050166253097*x382*x323 + 1.90418288353061*x382*x380 + x133 =E= 0;

e135.. 1.90418288353061*x323*x325 + 6.25050166253097*x323*x382 + 
       1.90418288353061*x325*x323 - 3.80836576706122*sqr(x325) - 
       6.25050166253097*x325*x380 - 6.25050166253097*x380*x325 + 
       1.90418288353061*x380*x382 + 6.25050166253097*x382*x323 + 
       1.90418288353061*x382*x380 - 3.80836576706122*sqr(x382) + x134 =E= 0;

e136.. 4.88351196134863*x348*x352 - 9.76702392269726*sqr(x348) - 
       7.58572191329487*x348*x409 + 4.88351196134863*x352*x348 + 
       7.58572191329487*x352*x405 + 7.58572191329487*x405*x352 - 
       9.76702392269726*sqr(x405) + 4.88351196134863*x405*x409 - 
       7.58572191329487*x409*x348 + 4.88351196134863*x409*x405 + x135 =E= 0;

e137.. 4.88351196134863*x348*x352 + 7.58572191329487*x348*x409 + 
       4.88351196134863*x352*x348 - 9.76702392269726*sqr(x352) - 
       7.58572191329487*x352*x405 - 7.58572191329487*x405*x352 + 
       4.88351196134863*x405*x409 + 7.58572191329487*x409*x348 + 
       4.88351196134863*x409*x405 - 9.76702392269726*sqr(x409) + x136 =E= 0;

e138.. 0.355169536451137*x321*x324 - 0.710339072902274*sqr(x321) - 
       1.61689835267107*x321*x381 + 0.355169536451137*x324*x321 + 
       1.61689835267107*x324*x378 + 1.61689835267107*x378*x324 - 
       0.710339072902274*sqr(x378) + 0.355169536451137*x378*x381 - 
       1.61689835267107*x381*x321 + 0.355169536451137*x381*x378 + x137 =E= 0;

e139.. 0.355169536451137*x321*x324 + 1.61689835267107*x321*x381 + 
       0.355169536451137*x324*x321 - 0.710339072902274*sqr(x324) - 
       1.61689835267107*x324*x378 - 1.61689835267107*x378*x324 + 
       0.355169536451137*x378*x381 + 1.61689835267107*x381*x321 + 
       0.355169536451137*x381*x378 - 0.710339072902274*sqr(x381) + x138 =E= 0;

e140.. 2.25746628364873*x349*x350 - 4.51493256729746*sqr(x349) - 
       3.49889935514834*x349*x407 + 2.25746628364873*x350*x349 + 
       3.49889935514834*x350*x406 + 3.49889935514834*x406*x350 - 
       4.51493256729746*sqr(x406) + 2.25746628364873*x406*x407 - 
       3.49889935514834*x407*x349 + 2.25746628364873*x407*x406 + x139 =E= 0;

e141.. 2.25746628364873*x349*x350 + 3.49889935514834*x349*x407 + 
       2.25746628364873*x350*x349 - 4.51493256729746*sqr(x350) - 
       3.49889935514834*x350*x406 - 3.49889935514834*x406*x350 + 
       2.25746628364873*x406*x407 + 3.49889935514834*x407*x349 + 
       2.25746628364873*x407*x406 - 4.51493256729746*sqr(x407) + x140 =E= 0;

e142.. 0.590473476437134*x324*x329 - 1.18094695287427*sqr(x324) - 
       2.66233632952763*x324*x386 + 0.590473476437134*x329*x324 + 
       2.66233632952763*x329*x381 + 2.66233632952763*x381*x329 - 
       1.18094695287427*sqr(x381) + 0.590473476437134*x381*x386 - 
       2.66233632952763*x386*x324 + 0.590473476437134*x386*x381 + x141 =E= 0;

e143.. 0.590473476437134*x324*x329 + 2.66233632952763*x324*x386 + 
       0.590473476437134*x329*x324 - 1.18094695287427*sqr(x329) - 
       2.66233632952763*x329*x381 - 2.66233632952763*x381*x329 + 
       0.590473476437134*x381*x386 + 2.66233632952763*x386*x324 + 
       0.590473476437134*x386*x381 - 1.18094695287427*sqr(x386) + x142 =E= 0;

e144.. 6.64966797519903*x348*x349 - 13.2993359503981*sqr(x348) - 
       8.39233958249257*x348*x406 + 6.64966797519903*x349*x348 + 
       8.39233958249257*x349*x405 + 8.39233958249257*x405*x349 - 
       13.2993359503981*sqr(x405) + 6.64966797519903*x405*x406 - 
       8.39233958249257*x406*x348 + 6.64966797519903*x406*x405 + x143 =E= 0;

e145.. 6.64966797519903*x348*x349 + 8.39233958249257*x348*x406 + 
       6.64966797519903*x349*x348 - 13.2993359503981*sqr(x349) - 
       8.39233958249257*x349*x405 - 8.39233958249257*x405*x349 + 
       6.64966797519903*x405*x406 + 8.39233958249257*x406*x348 + 
       6.64966797519903*x406*x405 - 13.2993359503981*sqr(x406) + x144 =E= 0;

e146.. 1.0539567489374*x365*x366 - 2.1079134978748*sqr(x365) - 1.30201259719636
       *x365*x423 + 1.0539567489374*x366*x365 + 1.30201259719636*x366*x422 + 
       1.30201259719636*x422*x366 - 2.1079134978748*sqr(x422) + 1.0539567489374
       *x422*x423 - 1.30201259719636*x423*x365 + 1.0539567489374*x423*x422
        + x145 =E= 0;

e147.. 1.0539567489374*x365*x366 + 1.30201259719636*x365*x423 + 1.0539567489374
       *x366*x365 - 2.1079134978748*sqr(x366) - 1.30201259719636*x366*x422 - 
       1.30201259719636*x422*x366 + 1.0539567489374*x422*x423 + 
       1.30201259719636*x423*x365 + 1.0539567489374*x423*x422 - 2.1079134978748
       *sqr(x423) + x146 =E= 0;

e148.. 0.418410041841004*x368*x409 - 0.418410041841004*x352*x425 + 
       0.418410041841004*x409*x368 - 0.418410041841004*x425*x352 + x147 =E= 0;

e149.. 0.418410041841004*x352*x425 - 0.418410041841004*x368*x409 - 
       0.418410041841004*x409*x368 + 0.418410041841004*x425*x352 + x148 =E= 0;

e150.. 0.527109836279312*x331*x332 - 1.05421967255862*sqr(x331) - 
       0.808359254223398*x331*x389 + 0.527109836279312*x332*x331 + 
       0.808359254223398*x332*x388 + 0.808359254223398*x388*x332 - 
       1.05421967255862*sqr(x388) + 0.527109836279312*x388*x389 - 
       0.808359254223398*x389*x331 + 0.527109836279312*x389*x388 + x149 =E= 0;

e151.. 0.527109836279312*x331*x332 + 0.808359254223398*x331*x389 + 
       0.527109836279312*x332*x331 - 1.05421967255862*sqr(x332) - 
       0.808359254223398*x332*x388 - 0.808359254223398*x388*x332 + 
       0.527109836279312*x388*x389 + 0.808359254223398*x389*x331 + 
       0.527109836279312*x389*x388 - 1.05421967255862*sqr(x389) + x150 =E= 0;

e152.. 2.61780104712042*x361*x382 - 2.61780104712042*x325*x418 + 
       2.61780104712042*x382*x361 - 2.61780104712042*x418*x325 + x151 =E= 0;

e153.. 2.61780104712042*x325*x418 - 2.61780104712042*x361*x382 - 
       2.61780104712042*x382*x361 + 2.61780104712042*x418*x325 + x152 =E= 0;

e154.. 3.39404245723976*x350*x356 - 6.78808491447952*sqr(x350) - 
       6.87029355531232*x350*x413 + 3.39404245723976*x356*x350 + 
       6.87029355531232*x356*x407 + 6.87029355531232*x407*x356 - 
       6.78808491447952*sqr(x407) + 3.39404245723976*x407*x413 - 
       6.87029355531232*x413*x350 + 3.39404245723976*x413*x407 + x153 =E= 0;

e155.. 3.39404245723976*x350*x356 + 6.87029355531232*x350*x413 + 
       3.39404245723976*x356*x350 - 6.78808491447952*sqr(x356) - 
       6.87029355531232*x356*x407 - 6.87029355531232*x407*x356 + 
       3.39404245723976*x407*x413 + 6.87029355531232*x413*x350 + 
       3.39404245723976*x413*x407 - 6.78808491447952*sqr(x413) + x154 =E= 0;

e156.. 1.06518423197695*x366*x367 - 2.13036846395391*sqr(x366) - 
       1.39298053431166*x366*x424 + 1.06518423197695*x367*x366 + 
       1.39298053431166*x367*x423 + 1.39298053431166*x423*x367 - 
       2.13036846395391*sqr(x423) + 1.06518423197695*x423*x424 - 
       1.39298053431166*x424*x366 + 1.06518423197695*x424*x423 + x155 =E= 0;

e157.. 1.06518423197695*x366*x367 + 1.39298053431166*x366*x424 + 
       1.06518423197695*x367*x366 - 2.13036846395391*sqr(x367) - 
       1.39298053431166*x367*x423 - 1.39298053431166*x423*x367 + 
       1.06518423197695*x423*x424 + 1.39298053431166*x424*x366 + 
       1.06518423197695*x424*x423 - 2.13036846395391*sqr(x424) + x156 =E= 0;

e158.. 4.41521318938648*x313*x329 - 8.81612637877296*sqr(x313) + 
       0.972982165809243*x313*x386 + 4.41521318938648*x329*x313 - 
       0.972982165809243*x329*x370 - 0.972982165809243*x370*x329 - 
       8.81612637877296*sqr(x370) + 4.41521318938648*x370*x386 + 
       0.972982165809243*x386*x313 + 4.41521318938648*x386*x370 + x157 =E= 0;

e159.. 4.41521318938648*x313*x329 - 0.972982165809243*x313*x386 + 
       4.41521318938648*x329*x313 - 8.81612637877296*sqr(x329) + 
       0.972982165809243*x329*x370 + 0.972982165809243*x370*x329 + 
       4.41521318938648*x370*x386 - 0.972982165809243*x386*x313 + 
       4.41521318938648*x386*x370 - 8.81612637877296*sqr(x386) + x158 =E= 0;

e160.. 7.87863639821345*x324*x325 - 15.7270727964269*sqr(x324) + 
       2.41792634289999*x324*x382 + 7.87863639821345*x325*x324 - 
       2.41792634289999*x325*x381 - 2.41792634289999*x381*x325 - 
       15.7270727964269*sqr(x381) + 7.87863639821345*x381*x382 + 
       2.41792634289999*x382*x324 + 7.87863639821345*x382*x381 + x159 =E= 0;

e161.. 7.87863639821345*x324*x325 - 2.41792634289999*x324*x382 + 
       7.87863639821345*x325*x324 - 15.7270727964269*sqr(x325) + 
       2.41792634289999*x325*x381 + 2.41792634289999*x381*x325 + 
       7.87863639821345*x381*x382 - 2.41792634289999*x382*x324 + 
       7.87863639821345*x382*x381 - 15.7270727964269*sqr(x382) + x160 =E= 0;

e162.. 4.149377593361*x321*x367 - 8.29875518672199*sqr(x321) + 4.149377593361*
       x367*x321 - 8.29875518672199*sqr(x378) + 4.149377593361*x378*x424 + 
       4.149377593361*x424*x378 + x161 =E= 0;

e163.. 4.149377593361*x321*x367 + 4.149377593361*x367*x321 - 8.29875518672199*
       sqr(x367) + 4.149377593361*x378*x424 + 4.149377593361*x424*x378 - 
       8.29875518672199*sqr(x424) + x162 =E= 0;

e164.. 3.2143855399236*x356*x357 - 6.4267710798472*sqr(x356) + 1.61495698624181
       *x356*x414 + 3.2143855399236*x357*x356 - 1.61495698624181*x357*x413 - 
       1.61495698624181*x413*x357 - 6.4267710798472*sqr(x413) + 3.2143855399236
       *x413*x414 + 1.61495698624181*x414*x356 + 3.2143855399236*x414*x413
        + x163 =E= 0;

e165.. 3.2143855399236*x356*x357 - 1.61495698624181*x356*x414 + 3.2143855399236
       *x357*x356 - 6.4267710798472*sqr(x357) + 1.61495698624181*x357*x413 + 
       1.61495698624181*x413*x357 + 3.2143855399236*x413*x414 - 
       1.61495698624181*x414*x356 + 3.2143855399236*x414*x413 - 6.4267710798472
       *sqr(x414) + x164 =E= 0;

e166.. 7.71604938271605*x319*x341 - 15.4320987654321*sqr(x319) + 
       7.71604938271605*x341*x319 - 15.4320987654321*sqr(x376) + 
       7.71604938271605*x376*x398 + 7.71604938271605*x398*x376 + x165 =E= 0;

e167.. 7.71604938271605*x319*x341 + 7.71604938271605*x341*x319 - 
       15.4320987654321*sqr(x341) + 7.71604938271605*x376*x398 + 
       7.71604938271605*x398*x376 - 15.4320987654321*sqr(x398) + x166 =E= 0;

e168.. 5.23848027373216*x314*x315 - 10.4360605474643*sqr(x314) + 
       1.83654955479081*x314*x372 + 5.23848027373216*x315*x314 - 
       1.83654955479081*x315*x371 - 1.83654955479081*x371*x315 - 
       10.4360605474643*sqr(x371) + 5.23848027373216*x371*x372 + 
       1.83654955479081*x372*x314 + 5.23848027373216*x372*x371 + x167 =E= 0;

e169.. 5.23848027373216*x314*x315 - 1.83654955479081*x314*x372 + 
       5.23848027373216*x315*x314 - 10.4360605474643*sqr(x315) + 
       1.83654955479081*x315*x371 + 1.83654955479081*x371*x315 + 
       5.23848027373216*x371*x372 - 1.83654955479081*x372*x314 + 
       5.23848027373216*x372*x371 - 10.4360605474643*sqr(x372) + x168 =E= 0;

e170.. 10.5708245243129*x336*x338 - 21.1416490486258*sqr(x336) + 
       10.5708245243129*x338*x336 - 21.1416490486258*sqr(x393) + 
       10.5708245243129*x393*x395 + 10.5708245243129*x395*x393 + x169 =E= 0;

e171.. 10.5708245243129*x336*x338 + 10.5708245243129*x338*x336 - 
       21.1416490486258*sqr(x338) + 10.5708245243129*x393*x395 + 
       10.5708245243129*x395*x393 - 21.1416490486258*sqr(x395) + x170 =E= 0;

e172.. 4.72047389855609*x318*x319 - 9.42714779711218*sqr(x318) + 
       0.92558311736394*x318*x376 + 4.72047389855609*x319*x318 - 
       0.92558311736394*x319*x375 - 0.92558311736394*x375*x319 - 
       9.42714779711218*sqr(x375) + 4.72047389855609*x375*x376 + 
       0.92558311736394*x376*x318 + 4.72047389855609*x376*x375 + x171 =E= 0;

e173.. 4.72047389855609*x318*x319 - 0.92558311736394*x318*x376 + 
       4.72047389855609*x319*x318 - 9.42714779711218*sqr(x319) + 
       0.92558311736394*x319*x375 + 0.92558311736394*x375*x319 + 
       4.72047389855609*x375*x376 - 0.92558311736394*x376*x318 + 
       4.72047389855609*x376*x375 - 9.42714779711218*sqr(x376) + x172 =E= 0;

e174.. 1.67674988128252*x341*x364 - 3.35349976256504*sqr(x341) + 
       1.29298038973765*x341*x421 + 1.67674988128252*x364*x341 - 
       1.29298038973765*x364*x398 - 1.29298038973765*x398*x364 - 
       3.35349976256504*sqr(x398) + 1.67674988128252*x398*x421 + 
       1.29298038973765*x421*x341 + 1.67674988128252*x421*x398 + x173 =E= 0;

e175.. 1.67674988128252*x341*x364 - 1.29298038973765*x341*x421 + 
       1.67674988128252*x364*x341 - 3.35349976256504*sqr(x364) + 
       1.29298038973765*x364*x398 + 1.29298038973765*x398*x364 + 
       1.67674988128252*x398*x421 - 1.29298038973765*x421*x341 + 
       1.67674988128252*x421*x398 - 3.35349976256504*sqr(x421) + x174 =E= 0;

e176.. 8.62787487302373*x315*x327 - 17.2285497460475*sqr(x315) + 
       2.63719948949027*x315*x384 + 8.62787487302373*x327*x315 - 
       2.63719948949027*x327*x372 - 2.63719948949027*x372*x327 - 
       17.2285497460475*sqr(x372) + 8.62787487302373*x372*x384 + 
       2.63719948949027*x384*x315 + 8.62787487302373*x384*x372 + x175 =E= 0;

e177.. 8.62787487302373*x315*x327 - 2.63719948949027*x315*x384 + 
       8.62787487302373*x327*x315 - 17.2285497460475*sqr(x327) + 
       2.63719948949027*x327*x372 + 2.63719948949027*x372*x327 + 
       8.62787487302373*x372*x384 - 2.63719948949027*x384*x315 + 
       8.62787487302373*x384*x372 - 17.2285497460475*sqr(x384) + x176 =E= 0;

e178.. 0.3690036900369*x351*x369 - 0.738007380073801*sqr(x351) + 
       0.3690036900369*x369*x351 - 0.738007380073801*sqr(x408) + 
       0.3690036900369*x408*x426 + 0.3690036900369*x426*x408 + x177 =E= 0;

e179.. 0.3690036900369*x351*x369 + 0.3690036900369*x369*x351 - 
       0.738007380073801*sqr(x369) + 0.3690036900369*x408*x426 + 
       0.3690036900369*x426*x408 - 0.738007380073801*sqr(x426) + x178 =E= 0;

e180.. 6.59809819522608*x358*x359 - 13.1945963904522*sqr(x358) + 
       2.23170968367941*x358*x416 + 6.59809819522608*x359*x358 - 
       2.23170968367941*x359*x415 - 2.23170968367941*x415*x359 - 
       13.1945963904522*sqr(x415) + 6.59809819522608*x415*x416 + 
       2.23170968367941*x416*x358 + 6.59809819522608*x416*x415 + x179 =E= 0;

e181.. 6.59809819522608*x358*x359 - 2.23170968367941*x358*x416 + 
       6.59809819522608*x359*x358 - 13.1945963904522*sqr(x359) + 
       2.23170968367941*x359*x415 + 2.23170968367941*x415*x359 + 
       6.59809819522608*x415*x416 - 2.23170968367941*x416*x358 + 
       6.59809819522608*x416*x415 - 13.1945963904522*sqr(x416) + x180 =E= 0;

e182.. 1.21359223300971*x353*x355 - 2.42718446601942*sqr(x353) + 
       1.21359223300971*x355*x353 - 2.42718446601942*sqr(x410) + 
       1.21359223300971*x410*x412 + 1.21359223300971*x412*x410 + x181 =E= 0;

e183.. 1.21359223300971*x353*x355 + 1.21359223300971*x355*x353 - 
       2.42718446601942*sqr(x355) + 1.21359223300971*x410*x412 + 
       1.21359223300971*x412*x410 - 2.42718446601942*sqr(x412) + x182 =E= 0;

e184.. 1.38433197806869*x338*x339 - 2.76866395613739*sqr(x338) + 
       0.89927077315486*x338*x396 + 1.38433197806869*x339*x338 - 
       0.89927077315486*x339*x395 - 0.89927077315486*x395*x339 - 
       2.76866395613739*sqr(x395) + 1.38433197806869*x395*x396 + 
       0.89927077315486*x396*x338 + 1.38433197806869*x396*x395 + x183 =E= 0;

e185.. 1.38433197806869*x338*x339 - 0.89927077315486*x338*x396 + 
       1.38433197806869*x339*x338 - 2.76866395613739*sqr(x339) + 
       0.89927077315486*x339*x395 + 0.89927077315486*x395*x339 + 
       1.38433197806869*x395*x396 - 0.89927077315486*x396*x338 + 
       1.38433197806869*x396*x395 - 2.76866395613739*sqr(x396) + x184 =E= 0;

e186.. 2.73344928243778*x360*x361 - 5.46449856487556*sqr(x360) + 
       1.76720674539001*x360*x418 + 2.73344928243778*x361*x360 - 
       1.76720674539001*x361*x417 - 1.76720674539001*x417*x361 - 
       5.46449856487556*sqr(x417) + 2.73344928243778*x417*x418 + 
       1.76720674539001*x418*x360 + 2.73344928243778*x418*x417 + x185 =E= 0;

e187.. 2.73344928243778*x360*x361 - 1.76720674539001*x360*x418 + 
       2.73344928243778*x361*x360 - 5.46449856487556*sqr(x361) + 
       1.76720674539001*x361*x417 + 1.76720674539001*x417*x361 + 
       2.73344928243778*x417*x418 - 1.76720674539001*x418*x360 + 
       2.73344928243778*x418*x417 - 5.46449856487556*sqr(x418) + x186 =E= 0;

e188.. 3.69183616606297*x339*x340 - 7.38367233212594*sqr(x339) + 
       2.39156682455652*x339*x397 + 3.69183616606297*x340*x339 - 
       2.39156682455652*x340*x396 - 2.39156682455652*x396*x340 - 
       7.38367233212594*sqr(x396) + 3.69183616606297*x396*x397 + 
       2.39156682455652*x397*x339 + 3.69183616606297*x397*x396 + x187 =E= 0;

e189.. 3.69183616606297*x339*x340 - 2.39156682455652*x339*x397 + 
       3.69183616606297*x340*x339 - 7.38367233212594*sqr(x340) + 
       2.39156682455652*x340*x396 + 2.39156682455652*x396*x340 + 
       3.69183616606297*x396*x397 - 2.39156682455652*x397*x339 + 
       3.69183616606297*x397*x396 - 7.38367233212594*sqr(x397) + x188 =E= 0;

e190.. 1.32821120601578*x368*x369 - 0.888879807102865*x368*x426 + 
       1.32821120601578*x369*x368 - 2.65642241203155*sqr(x369) + 
       0.888879807102865*x369*x425 + 0.888879807102865*x425*x369 + 
       1.32821120601578*x425*x426 - 0.888879807102865*x426*x368 + 
       1.32821120601578*x426*x425 - 2.65642241203155*sqr(x426) + x189 =E= 0;

e191.. 1.32821120601578*x368*x369 - 2.65642241203155*sqr(x368) + 
       0.888879807102865*x368*x426 + 1.32821120601578*x369*x368 - 
       0.888879807102865*x369*x425 - 0.888879807102865*x425*x369 - 
       2.65642241203155*sqr(x425) + 1.32821120601578*x425*x426 + 
       0.888879807102865*x426*x368 + 1.32821120601578*x426*x425 + x190 =E= 0;

e192.. 16.4147779901277*x313*x314 - 32.7650559802554*sqr(x313) + 
       4.86580918993071*x313*x371 + 16.4147779901277*x314*x313 - 
       4.86580918993071*x314*x370 - 4.86580918993071*x370*x314 - 
       32.7650559802554*sqr(x370) + 16.4147779901277*x370*x371 + 
       4.86580918993071*x371*x313 + 16.4147779901277*x371*x370 + x191 =E= 0;

e193.. 16.4147779901277*x313*x314 - 4.86580918993071*x313*x371 + 
       16.4147779901277*x314*x313 - 32.7650559802554*sqr(x314) + 
       4.86580918993071*x314*x370 + 4.86580918993071*x370*x314 + 
       16.4147779901277*x370*x371 - 4.86580918993071*x371*x313 + 
       16.4147779901277*x371*x370 - 32.7650559802554*sqr(x371) + x192 =E= 0;

e194.. 5.39668154996767*x321*x323 - 10.7824630999353*sqr(x321) + 
       1.64191490553262*x321*x380 + 5.39668154996767*x323*x321 - 
       1.64191490553262*x323*x378 - 1.64191490553262*x378*x323 - 
       10.7824630999353*sqr(x378) + 5.39668154996767*x378*x380 + 
       1.64191490553262*x380*x321 + 5.39668154996767*x380*x378 + x193 =E= 0;

e195.. 5.39668154996767*x321*x323 - 1.64191490553262*x321*x380 + 
       5.39668154996767*x323*x321 - 10.7824630999353*sqr(x323) + 
       1.64191490553262*x323*x378 + 1.64191490553262*x378*x323 + 
       5.39668154996767*x378*x380 - 1.64191490553262*x380*x321 + 
       5.39668154996767*x380*x378 - 10.7824630999353*sqr(x380) + x194 =E= 0;

e196.. 4.43786982248521*x346*x347 - 8.87413964497041*sqr(x346) + 
       2.9585798816568*x346*x404 + 4.43786982248521*x347*x346 - 2.9585798816568
       *x347*x403 - 2.9585798816568*x403*x347 - 8.87413964497041*sqr(x403) + 
       4.43786982248521*x403*x404 + 2.9585798816568*x404*x346 + 
       4.43786982248521*x404*x403 + x195 =E= 0;

e197.. 4.43786982248521*x346*x347 - 2.9585798816568*x346*x404 + 
       4.43786982248521*x347*x346 - 8.87413964497041*sqr(x347) + 
       2.9585798816568*x347*x403 + 2.9585798816568*x403*x347 + 4.43786982248521
       *x403*x404 - 2.9585798816568*x404*x346 + 4.43786982248521*x404*x403 - 
       8.87413964497041*sqr(x404) + x196 =E= 0;

e198.. 12.4914675767918*x315*x316 - 24.9639351535836*sqr(x315) + 
       3.82252559726962*x315*x373 + 12.4914675767918*x316*x315 - 
       3.82252559726962*x316*x372 - 3.82252559726962*x372*x316 - 
       24.9639351535836*sqr(x372) + 12.4914675767918*x372*x373 + 
       3.82252559726962*x373*x315 + 12.4914675767918*x373*x372 + x197 =E= 0;

e199.. 12.4914675767918*x315*x316 - 3.82252559726962*x315*x373 + 
       12.4914675767918*x316*x315 - 24.9639351535836*sqr(x316) + 
       3.82252559726962*x316*x372 + 3.82252559726962*x372*x316 + 
       12.4914675767918*x372*x373 - 3.82252559726962*x373*x315 + 
       12.4914675767918*x373*x372 - 24.9639351535836*sqr(x373) + x198 =E= 0;

e200.. 2.31475446972346*x313*x328 - 4.60220893944692*sqr(x313) + 
       0.510144917113811*x313*x385 + 2.31475446972346*x328*x313 - 
       0.510144917113811*x328*x370 - 0.510144917113811*x370*x328 - 
       4.60220893944692*sqr(x370) + 2.31475446972346*x370*x385 + 
       0.510144917113811*x385*x313 + 2.31475446972346*x385*x370 + x199 =E= 0;

e201.. 2.31475446972346*x313*x328 - 0.510144917113811*x313*x385 + 
       2.31475446972346*x328*x313 - 4.60220893944692*sqr(x328) + 
       0.510144917113811*x328*x370 + 0.510144917113811*x370*x328 + 
       2.31475446972346*x370*x385 - 0.510144917113811*x385*x313 + 
       2.31475446972346*x385*x370 - 4.60220893944692*sqr(x385) + x200 =E= 0;

e202.. 0.829515909372086*x336*x337 - 1.65903181874417*sqr(x336) + 
       0.829515909372086*x337*x336 - 1.65903181874417*sqr(x393) + 
       0.829515909372086*x393*x394 + 0.829515909372086*x394*x393 + x201 =E= 0;

e203.. 0.829515909372086*x336*x337 + 0.829515909372086*x337*x336 - 
       1.65903181874417*sqr(x337) + 0.829515909372086*x393*x394 + 
       0.829515909372086*x394*x393 - 1.65903181874417*sqr(x394) + x202 =E= 0;

e204.. 9.43903726800889*x349*x351 - 18.8780745360178*sqr(x349) + 
       5.95232165449637*x349*x408 + 9.43903726800889*x351*x349 - 
       5.95232165449637*x351*x406 - 5.95232165449637*x406*x351 - 
       18.8780745360178*sqr(x406) + 9.43903726800889*x406*x408 + 
       5.95232165449637*x408*x349 + 9.43903726800889*x408*x406 + x203 =E= 0;

e205.. 9.43903726800889*x349*x351 - 5.95232165449637*x349*x408 + 
       9.43903726800889*x351*x349 - 18.8780745360178*sqr(x351) + 
       5.95232165449637*x351*x406 + 5.95232165449637*x406*x351 + 
       9.43903726800889*x406*x408 - 5.95232165449637*x408*x349 + 
       9.43903726800889*x408*x406 - 18.8780745360178*sqr(x408) + x204 =E= 0;

e206.. 3.09419720819025*x316*x317 - 6.17549441638049*sqr(x316) + 
       1.4650554963022*x316*x374 + 3.09419720819025*x317*x316 - 1.4650554963022
       *x317*x373 - 1.4650554963022*x373*x317 - 6.17549441638049*sqr(x373) + 
       3.09419720819025*x373*x374 + 1.4650554963022*x374*x316 + 
       3.09419720819025*x374*x373 + x205 =E= 0;

e207.. 3.09419720819025*x316*x317 - 1.4650554963022*x316*x374 + 
       3.09419720819025*x317*x316 - 6.17549441638049*sqr(x317) + 
       1.4650554963022*x317*x373 + 1.4650554963022*x373*x317 + 3.09419720819025
       *x373*x374 - 1.4650554963022*x374*x316 + 3.09419720819025*x374*x373 - 
       6.17549441638049*sqr(x374) + x206 =E= 0;

e208.. 1.71102339528029*x337*x342 - 3.42204679056057*sqr(x337) + 
       1.1435057344695*x337*x399 + 1.71102339528029*x342*x337 - 1.1435057344695
       *x342*x394 - 1.1435057344695*x394*x342 - 3.42204679056057*sqr(x394) + 
       1.71102339528029*x394*x399 + 1.1435057344695*x399*x337 + 
       1.71102339528029*x399*x394 + x207 =E= 0;

e209.. 1.71102339528029*x337*x342 - 1.1435057344695*x337*x399 + 
       1.71102339528029*x342*x337 - 3.42204679056057*sqr(x342) + 
       1.1435057344695*x342*x394 + 1.1435057344695*x394*x342 + 1.71102339528029
       *x394*x399 - 1.1435057344695*x399*x337 + 1.71102339528029*x399*x394 - 
       3.42204679056057*sqr(x399) + x208 =E= 0;

e210.. 1.37498388690758*x335*x336 - 2.74576777381515*sqr(x335) + 
       0.891591114166631*x335*x393 + 1.37498388690758*x336*x335 - 
       0.891591114166631*x336*x392 - 0.891591114166631*x392*x336 - 
       2.74576777381515*sqr(x392) + 1.37498388690758*x392*x393 + 
       0.891591114166631*x393*x335 + 1.37498388690758*x393*x392 + x209 =E= 0;

e211.. 1.37498388690758*x335*x336 - 0.891591114166631*x335*x393 + 
       1.37498388690758*x336*x335 - 2.74576777381515*sqr(x336) + 
       0.891591114166631*x336*x392 + 0.891591114166631*x392*x336 + 
       1.37498388690758*x392*x393 - 0.891591114166631*x393*x335 + 
       1.37498388690758*x393*x392 - 2.74576777381515*sqr(x393) + x210 =E= 0;

e212.. 6.3544961590601*x344*x345 - 12.7089923181202*sqr(x344) + 
       6.91934026208766*x344*x402 + 6.3544961590601*x345*x344 - 
       6.91934026208766*x345*x401 - 6.91934026208766*x401*x345 - 
       12.7089923181202*sqr(x401) + 6.3544961590601*x401*x402 + 
       6.91934026208766*x402*x344 + 6.3544961590601*x402*x401 + x211 =E= 0;

e213.. 6.3544961590601*x344*x345 - 6.91934026208766*x344*x402 + 6.3544961590601
       *x345*x344 - 12.7089923181202*sqr(x345) + 6.91934026208766*x345*x401 + 
       6.91934026208766*x401*x345 + 6.3544961590601*x401*x402 - 
       6.91934026208766*x402*x344 + 6.3544961590601*x402*x401 - 
       12.7089923181202*sqr(x402) + x212 =E= 0;

e214.. 5.65191520008935*x340*x341 - 11.3038304001787*sqr(x340) + 
       4.0247028170994*x340*x398 + 5.65191520008935*x341*x340 - 4.0247028170994
       *x341*x397 - 4.0247028170994*x397*x341 - 11.3038304001787*sqr(x397) + 
       5.65191520008935*x397*x398 + 4.0247028170994*x398*x340 + 
       5.65191520008935*x398*x397 + x213 =E= 0;

e215.. 5.65191520008935*x340*x341 - 4.0247028170994*x340*x398 + 
       5.65191520008935*x341*x340 - 11.3038304001787*sqr(x341) + 
       4.0247028170994*x341*x397 + 4.0247028170994*x397*x341 + 5.65191520008935
       *x397*x398 - 4.0247028170994*x398*x340 + 5.65191520008935*x398*x397 - 
       11.3038304001787*sqr(x398) + x214 =E= 0;

e216.. 1.03829215605472*x354*x368 - 0.623268596501777*x354*x425 + 
       1.03829215605472*x368*x354 - 2.07658431210945*sqr(x368) + 
       0.623268596501777*x368*x411 + 0.623268596501777*x411*x368 + 
       1.03829215605472*x411*x425 - 0.623268596501777*x425*x354 + 
       1.03829215605472*x425*x411 - 2.07658431210945*sqr(x425) + x215 =E= 0;

e217.. 1.03829215605472*x354*x368 - 2.07658431210945*sqr(x354) + 
       0.623268596501777*x354*x425 + 1.03829215605472*x368*x354 - 
       0.623268596501777*x368*x411 - 0.623268596501777*x411*x368 - 
       2.07658431210945*sqr(x411) + 1.03829215605472*x411*x425 + 
       0.623268596501777*x425*x354 + 1.03829215605472*x425*x411 + x216 =E= 0;

e218.. 9.53456231638887*x320*x321 - 19.0417246327777*sqr(x320) + 
       1.86915182044059*x320*x378 + 9.53456231638887*x321*x320 - 
       1.86915182044059*x321*x377 - 1.86915182044059*x377*x321 - 
       19.0417246327777*sqr(x377) + 9.53456231638887*x377*x378 + 
       1.86915182044059*x378*x320 + 9.53456231638887*x378*x377 + x217 =E= 0;

e219.. 9.53456231638887*x320*x321 - 1.86915182044059*x320*x378 + 
       9.53456231638887*x321*x320 - 19.0417246327777*sqr(x321) + 
       1.86915182044059*x321*x377 + 1.86915182044059*x377*x321 + 
       9.53456231638887*x377*x378 - 1.86915182044059*x378*x320 + 
       9.53456231638887*x378*x377 - 19.0417246327777*sqr(x378) + x218 =E= 0;

e220.. 11.9058189185481*x334*x350 - 23.8116378370961*sqr(x334) + 
       7.74887197410585*x334*x407 + 11.9058189185481*x350*x334 - 
       7.74887197410585*x350*x391 - 7.74887197410585*x391*x350 - 
       23.8116378370961*sqr(x391) + 11.9058189185481*x391*x407 + 
       7.74887197410585*x407*x334 + 11.9058189185481*x407*x391 + x219 =E= 0;

e221.. 11.9058189185481*x334*x350 - 7.74887197410585*x334*x407 + 
       11.9058189185481*x350*x334 - 23.8116378370961*sqr(x350) + 
       7.74887197410585*x350*x391 + 7.74887197410585*x391*x350 + 
       11.9058189185481*x391*x407 - 7.74887197410585*x407*x334 + 
       11.9058189185481*x407*x391 - 23.8116378370961*sqr(x407) + x220 =E= 0;

e222.. 0.643749195313506*x332*x333 + 0.643749195313506*x333*x332 - 
       1.28749839062701*sqr(x333) + 0.643749195313506*x389*x390 + 
       0.643749195313506*x390*x389 - 1.28749839062701*sqr(x390) + x221 =E= 0;

e223.. 0.643749195313506*x332*x333 - 1.28749839062701*sqr(x332) + 
       0.643749195313506*x333*x332 - 1.28749839062701*sqr(x389) + 
       0.643749195313506*x389*x390 + 0.643749195313506*x390*x389 + x222 =E= 0;

e224.. 4.79846449136276*x327*x357 - 9.59692898272553*sqr(x327) + 
       4.79846449136276*x357*x327 - 9.59692898272553*sqr(x384) + 
       4.79846449136276*x384*x414 + 4.79846449136276*x414*x384 + x223 =E= 0;

e225.. 4.79846449136276*x327*x357 + 4.79846449136276*x357*x327 - 
       9.59692898272553*sqr(x357) + 4.79846449136276*x384*x414 + 
       4.79846449136276*x414*x384 - 9.59692898272553*sqr(x414) + x224 =E= 0;

e226.. 3.1764478016657*x364*x365 - 6.3528956033314*sqr(x364) + 2.45981018787527
       *x364*x422 + 3.1764478016657*x365*x364 - 2.45981018787527*x365*x421 - 
       2.45981018787527*x421*x365 - 6.3528956033314*sqr(x421) + 3.1764478016657
       *x421*x422 + 2.45981018787527*x422*x364 + 3.1764478016657*x422*x421
        + x225 =E= 0;

e227.. 3.1764478016657*x364*x365 - 2.45981018787527*x364*x422 + 3.1764478016657
       *x365*x364 - 6.3528956033314*sqr(x365) + 2.45981018787527*x365*x421 + 
       2.45981018787527*x421*x365 + 3.1764478016657*x421*x422 - 
       2.45981018787527*x422*x364 + 3.1764478016657*x422*x421 - 6.3528956033314
       *sqr(x422) + x226 =E= 0;

e228.. 0.524658971668416*x344*x346 + 0.524658971668416*x346*x344 - 
       1.04931794333683*sqr(x346) + 0.524658971668416*x401*x403 + 
       0.524658971668416*x403*x401 - 1.04931794333683*sqr(x403) + x227 =E= 0;

e229.. 0.524658971668416*x344*x346 - 1.04931794333683*sqr(x344) + 
       0.524658971668416*x346*x344 - 1.04931794333683*sqr(x401) + 
       0.524658971668416*x401*x403 + 0.524658971668416*x403*x401 + x228 =E= 0;

e230.. 2.84075335628495*x321*x322 - 5.6595067125699*sqr(x321) + 
       0.62432280432945*x321*x379 + 2.84075335628495*x322*x321 - 
       0.62432280432945*x322*x378 - 0.62432280432945*x378*x322 - 
       5.6595067125699*sqr(x378) + 2.84075335628495*x378*x379 + 
       0.62432280432945*x379*x321 + 2.84075335628495*x379*x378 + x229 =E= 0;

e231.. 2.84075335628495*x321*x322 - 0.62432280432945*x321*x379 + 
       2.84075335628495*x322*x321 - 5.6595067125699*sqr(x322) + 
       0.62432280432945*x322*x378 + 0.62432280432945*x378*x322 + 
       2.84075335628495*x378*x379 - 0.62432280432945*x379*x321 + 
       2.84075335628495*x379*x378 - 5.6595067125699*sqr(x379) + x230 =E= 0;

e232.. 0.452067653694768*x353*x368 - 0.455361407091451*x353*x425 + 
       0.452067653694768*x368*x353 - 0.904135307389536*sqr(x368) + 
       0.455361407091451*x368*x410 + 0.455361407091451*x410*x368 + 
       0.452067653694768*x410*x425 - 0.455361407091451*x425*x353 + 
       0.452067653694768*x425*x410 - 0.904135307389536*sqr(x425) + x231 =E= 0;

e233.. 0.452067653694768*x353*x368 - 0.904135307389536*sqr(x353) + 
       0.455361407091451*x353*x425 + 0.452067653694768*x368*x353 - 
       0.455361407091451*x368*x410 - 0.455361407091451*x410*x368 - 
       0.904135307389536*sqr(x410) + 0.452067653694768*x410*x425 + 
       0.455361407091451*x425*x353 + 0.452067653694768*x425*x410 + x232 =E= 0;

e234.. 5.25061569360089*x325*x327 - 10.4897313872018*sqr(x325) + 
       1.62533443219636*x325*x384 + 5.25061569360089*x327*x325 - 
       1.62533443219636*x327*x382 - 1.62533443219636*x382*x327 - 
       10.4897313872018*sqr(x382) + 5.25061569360089*x382*x384 + 
       1.62533443219636*x384*x325 + 5.25061569360089*x384*x382 + x233 =E= 0;

e235.. 5.25061569360089*x325*x327 - 1.62533443219636*x325*x384 + 
       5.25061569360089*x327*x325 - 10.4897313872018*sqr(x327) + 
       1.62533443219636*x327*x382 + 1.62533443219636*x382*x327 + 
       5.25061569360089*x382*x384 - 1.62533443219636*x384*x325 + 
       5.25061569360089*x384*x382 - 10.4897313872018*sqr(x384) + x234 =E= 0;

e236.. 0.456428324430462*x343*x344 - 0.912856648860924*sqr(x343) + 
       0.306502199319529*x343*x401 + 0.456428324430462*x344*x343 - 
       0.306502199319529*x344*x400 - 0.306502199319529*x400*x344 - 
       0.912856648860924*sqr(x400) + 0.456428324430462*x400*x401 + 
       0.306502199319529*x401*x343 + 0.456428324430462*x401*x400 + x235 =E= 0;

e237.. 0.456428324430462*x343*x344 - 0.306502199319529*x343*x401 + 
       0.456428324430462*x344*x343 - 0.912856648860924*sqr(x344) + 
       0.306502199319529*x344*x400 + 0.306502199319529*x400*x344 + 
       0.456428324430462*x400*x401 - 0.306502199319529*x401*x343 + 
       0.456428324430462*x401*x400 - 0.912856648860924*sqr(x401) + x236 =E= 0;

e238.. 2.78330058262686*x318*x320 - 5.54310116525373*sqr(x318) + 
       0.545398206653472*x318*x377 + 2.78330058262686*x320*x318 - 
       0.545398206653472*x320*x375 - 0.545398206653472*x375*x320 - 
       5.54310116525373*sqr(x375) + 2.78330058262686*x375*x377 + 
       0.545398206653472*x377*x318 + 2.78330058262686*x377*x375 + x237 =E= 0;

e239.. 2.78330058262686*x318*x320 - 0.545398206653472*x318*x377 + 
       2.78330058262686*x320*x318 - 5.54310116525373*sqr(x320) + 
       0.545398206653472*x320*x375 + 0.545398206653472*x375*x320 + 
       2.78330058262686*x375*x377 - 0.545398206653472*x377*x318 + 
       2.78330058262686*x377*x375 - 5.54310116525373*sqr(x377) + x238 =E= 0;

e240.. 6.80272108843537*x326*x358 - 13.6054421768707*sqr(x326) + 
       6.80272108843537*x358*x326 - 13.6054421768707*sqr(x383) + 
       6.80272108843537*x383*x415 + 6.80272108843537*x415*x383 + x239 =E= 0;

e241.. 6.80272108843537*x326*x358 + 6.80272108843537*x358*x326 - 
       13.6054421768707*sqr(x358) + 6.80272108843537*x383*x415 + 
       6.80272108843537*x415*x383 - 13.6054421768707*sqr(x415) + x240 =E= 0;

e242.. 1.98635363828164*x350*x361 - 3.97120727656327*sqr(x350) + 
       1.29056874803609*x350*x418 + 1.98635363828164*x361*x350 - 
       1.29056874803609*x361*x407 - 1.29056874803609*x407*x361 - 
       3.97120727656327*sqr(x407) + 1.98635363828164*x407*x418 + 
       1.29056874803609*x418*x350 + 1.98635363828164*x418*x407 + x241 =E= 0;

e243.. 1.98635363828164*x350*x361 - 1.29056874803609*x350*x418 + 
       1.98635363828164*x361*x350 - 3.97120727656327*sqr(x361) + 
       1.29056874803609*x361*x407 + 1.29056874803609*x407*x361 + 
       1.98635363828164*x407*x418 - 1.29056874803609*x418*x350 + 
       1.98635363828164*x418*x407 - 3.97120727656327*sqr(x418) + x242 =E= 0;

e244.. 3.77986225966276*x322*x324 - 7.54332451932552*sqr(x322) + 
       0.829652809767499*x322*x381 + 3.77986225966276*x324*x322 - 
       0.829652809767499*x324*x379 - 0.829652809767499*x379*x324 - 
       7.54332451932552*sqr(x379) + 3.77986225966276*x379*x381 + 
       0.829652809767499*x381*x322 + 3.77986225966276*x381*x379 + x243 =E= 0;

e245.. 3.77986225966276*x322*x324 - 0.829652809767499*x322*x381 + 
       3.77986225966276*x324*x322 - 7.54332451932552*sqr(x324) + 
       0.829652809767499*x324*x379 + 0.829652809767499*x379*x324 + 
       3.77986225966276*x379*x381 - 0.829652809767499*x381*x322 + 
       3.77986225966276*x381*x379 - 7.54332451932552*sqr(x381) + x244 =E= 0;

e246.. 7.31038499338729*x350*x360 - 14.6207699867746*sqr(x350) + 
       4.73203343970297*x350*x417 + 7.31038499338729*x360*x350 - 
       4.73203343970297*x360*x407 - 4.73203343970297*x407*x360 - 
       14.6207699867746*sqr(x407) + 7.31038499338729*x407*x417 + 
       4.73203343970297*x417*x350 + 7.31038499338729*x417*x407 + x245 =E= 0;

e247.. 7.31038499338729*x350*x360 - 4.73203343970297*x350*x417 + 
       7.31038499338729*x360*x350 - 14.6207699867746*sqr(x360) + 
       4.73203343970297*x360*x407 + 4.73203343970297*x407*x360 + 
       7.31038499338729*x407*x417 - 4.73203343970297*x417*x350 + 
       7.31038499338729*x417*x407 - 14.6207699867746*sqr(x417) + x246 =E= 0;

e248.. 5.29202683464684*x313*x327 - 10.5346536692937*sqr(x313) + 
       1.03514371051334*x313*x384 + 5.29202683464684*x327*x313 - 
       1.03514371051334*x327*x370 - 1.03514371051334*x370*x327 - 
       10.5346536692937*sqr(x370) + 5.29202683464684*x370*x384 + 
       1.03514371051334*x384*x313 + 5.29202683464684*x384*x370 + x247 =E= 0;

e249.. 5.29202683464684*x313*x327 - 1.03514371051334*x313*x384 + 
       5.29202683464684*x327*x313 - 10.5346536692937*sqr(x327) + 
       1.03514371051334*x327*x370 + 1.03514371051334*x370*x327 + 
       5.29202683464684*x370*x384 - 1.03514371051334*x384*x313 + 
       5.29202683464684*x384*x370 - 10.5346536692937*sqr(x384) + x248 =E= 0;

e250.. 3.06187179288557*x333*x334 - 6.12374358577114*sqr(x333) + 
       1.92610054663571*x333*x391 + 3.06187179288557*x334*x333 - 
       1.92610054663571*x334*x390 - 1.92610054663571*x390*x334 - 
       6.12374358577114*sqr(x390) + 3.06187179288557*x390*x391 + 
       1.92610054663571*x391*x333 + 3.06187179288557*x391*x390 + x249 =E= 0;

e251.. 3.06187179288557*x333*x334 - 1.92610054663571*x333*x391 + 
       3.06187179288557*x334*x333 - 6.12374358577114*sqr(x334) + 
       1.92610054663571*x334*x390 + 1.92610054663571*x390*x334 + 
       3.06187179288557*x390*x391 - 1.92610054663571*x391*x333 + 
       3.06187179288557*x391*x390 - 6.12374358577114*sqr(x391) + x250 =E= 0;

e252.. 3.11539594998527*x316*x318 - 6.21339189997053*sqr(x316) + 
       0.90514882330653*x316*x375 + 3.11539594998527*x318*x316 - 
       0.90514882330653*x318*x373 - 0.90514882330653*x373*x318 - 
       6.21339189997053*sqr(x373) + 3.11539594998527*x373*x375 + 
       0.90514882330653*x375*x316 + 3.11539594998527*x375*x373 + x251 =E= 0;

e253.. 3.11539594998527*x316*x318 - 0.90514882330653*x316*x375 + 
       3.11539594998527*x318*x316 - 6.21339189997053*sqr(x318) + 
       0.90514882330653*x318*x373 + 0.90514882330653*x373*x318 + 
       3.11539594998527*x373*x375 - 0.90514882330653*x375*x316 + 
       3.11539594998527*x375*x373 - 6.21339189997053*sqr(x375) + x252 =E= 0;

e254.. 6.38338129997909*x317*x318 - 12.7605625999582*sqr(x317) + 3.007458896402
       *x317*x375 + 6.38338129997909*x318*x317 - 3.007458896402*x318*x374 - 
       3.007458896402*x374*x318 - 12.7605625999582*sqr(x374) + 6.38338129997909
       *x374*x375 + 3.007458896402*x375*x317 + 6.38338129997909*x375*x374
        + x253 =E= 0;

e255.. 6.38338129997909*x317*x318 - 3.007458896402*x317*x375 + 6.38338129997909
       *x318*x317 - 12.7605625999582*sqr(x318) + 3.007458896402*x318*x374 + 
       3.007458896402*x374*x318 + 6.38338129997909*x374*x375 - 3.007458896402*
       x375*x317 + 6.38338129997909*x375*x374 - 12.7605625999582*sqr(x375)
        + x254 =E= 0;

e256.. 5.67330630149027*x347*x348 - 11.3458126029805*sqr(x347) + 
       4.54287096767378*x347*x405 + 5.67330630149027*x348*x347 - 
       4.54287096767378*x348*x404 - 4.54287096767378*x404*x348 - 
       11.3458126029805*sqr(x404) + 5.67330630149027*x404*x405 + 
       4.54287096767378*x405*x347 + 5.67330630149027*x405*x404 + x255 =E= 0;

e257.. 5.67330630149027*x347*x348 - 4.54287096767378*x347*x405 + 
       5.67330630149027*x348*x347 - 11.3458126029805*sqr(x348) + 
       4.54287096767378*x348*x404 + 4.54287096767378*x404*x348 + 
       5.67330630149027*x404*x405 - 4.54287096767378*x405*x347 + 
       5.67330630149027*x405*x404 - 11.3458126029805*sqr(x405) + x256 =E= 0;

e258.. 1.6269792202214*x362*x363 - 3.2539584404428*sqr(x362) + 1.02499690873948
       *x362*x420 + 1.6269792202214*x363*x362 - 1.02499690873948*x363*x419 - 
       1.02499690873948*x419*x363 - 3.2539584404428*sqr(x419) + 1.6269792202214
       *x419*x420 + 1.02499690873948*x420*x362 + 1.6269792202214*x420*x419
        + x257 =E= 0;

e259.. 1.6269792202214*x362*x363 - 1.02499690873948*x362*x420 + 1.6269792202214
       *x363*x362 - 3.2539584404428*sqr(x363) + 1.02499690873948*x363*x419 + 
       1.02499690873948*x419*x363 + 1.6269792202214*x419*x420 - 
       1.02499690873948*x420*x362 + 1.6269792202214*x420*x419 - 3.2539584404428
       *sqr(x420) + x258 =E= 0;

e260.. 2.06369159857865*x316*x330 - 4.1273831971573*sqr(x316) + 
       2.06369159857865*x330*x316 - 4.1273831971573*sqr(x373) + 
       2.06369159857865*x373*x387 + 2.06369159857865*x387*x373 + x259 =E= 0;

e261.. 2.06369159857865*x316*x330 + 2.06369159857865*x330*x316 - 
       4.1273831971573*sqr(x330) + 2.06369159857865*x373*x387 + 
       2.06369159857865*x387*x373 - 4.1273831971573*sqr(x387) + x260 =E= 0;

e262.. 2.89614815960782*x321*x325 - 5.77199631921565*sqr(x321) + 
       0.881675484032509*x321*x382 + 2.89614815960782*x325*x321 - 
       0.881675484032509*x325*x378 - 0.881675484032509*x378*x325 - 
       5.77199631921565*sqr(x378) + 2.89614815960782*x378*x382 + 
       0.881675484032509*x382*x321 + 2.89614815960782*x382*x378 + x261 =E= 0;

e263.. 2.89614815960782*x321*x325 - 0.881675484032509*x321*x382 + 
       2.89614815960782*x325*x321 - 5.77199631921565*sqr(x325) + 
       0.881675484032509*x325*x378 + 0.881675484032509*x378*x325 + 
       2.89614815960782*x378*x382 - 0.881675484032509*x382*x321 + 
       2.89614815960782*x382*x378 - 5.77199631921565*sqr(x382) + x262 =E= 0;

e264.. 7.02247191011236*x322*x363 - 14.0449438202247*sqr(x322) + 
       7.02247191011236*x363*x322 - 14.0449438202247*sqr(x379) + 
       7.02247191011236*x379*x420 + 7.02247191011236*x420*x379 + x263 =E= 0;

e265.. 7.02247191011236*x322*x363 + 7.02247191011236*x363*x322 - 
       14.0449438202247*sqr(x363) + 7.02247191011236*x379*x420 + 
       7.02247191011236*x420*x379 - 14.0449438202247*sqr(x420) + x264 =E= 0;

e266.. 5.86267917948452*x324*x328 - 11.714558358969*sqr(x324) + 
       1.29801015043938*x324*x385 + 5.86267917948452*x328*x324 - 
       1.29801015043938*x328*x381 - 1.29801015043938*x381*x328 - 
       11.714558358969*sqr(x381) + 5.86267917948452*x381*x385 + 
       1.29801015043938*x385*x324 + 5.86267917948452*x385*x381 + x265 =E= 0;

e267.. 5.86267917948452*x324*x328 - 1.29801015043938*x324*x385 + 
       5.86267917948452*x328*x324 - 11.714558358969*sqr(x328) + 
       1.29801015043938*x328*x381 + 1.29801015043938*x381*x328 + 
       5.86267917948452*x381*x385 - 1.29801015043938*x385*x324 + 
       5.86267917948452*x385*x381 - 11.714558358969*sqr(x385) + x266 =E= 0;

e268.. 10.5452424919817*x325*x326 - 21.0849849839635*sqr(x325) + 
       3.20730877636311*x325*x383 + 10.5452424919817*x326*x325 - 
       3.20730877636311*x326*x382 - 3.20730877636311*x382*x326 - 
       21.0849849839635*sqr(x382) + 10.5452424919817*x382*x383 + 
       3.20730877636311*x383*x325 + 10.5452424919817*x383*x382 + x267 =E= 0;

e269.. 10.5452424919817*x325*x326 - 3.20730877636311*x325*x383 + 
       10.5452424919817*x326*x325 - 21.0849849839635*sqr(x326) + 
       3.20730877636311*x326*x382 + 3.20730877636311*x382*x326 + 
       10.5452424919817*x382*x383 - 3.20730877636311*x383*x325 + 
       10.5452424919817*x383*x382 - 21.0849849839635*sqr(x383) + x268 =E= 0;

e270.. 13.3275370940249*x359*x360 - 26.6550741880498*sqr(x359) + 
       10.4103508631439*x359*x417 + 13.3275370940249*x360*x359 - 
       10.4103508631439*x360*x416 - 10.4103508631439*x416*x360 - 
       26.6550741880498*sqr(x416) + 13.3275370940249*x416*x417 + 
       10.4103508631439*x417*x359 + 13.3275370940249*x417*x416 + x269 =E= 0;

e271.. 13.3275370940249*x359*x360 - 10.4103508631439*x359*x417 + 
       13.3275370940249*x360*x359 - 26.6550741880498*sqr(x360) + 
       10.4103508631439*x360*x416 + 10.4103508631439*x416*x360 + 
       13.3275370940249*x416*x417 - 10.4103508631439*x417*x359 + 
       13.3275370940249*x417*x416 - 26.6550741880498*sqr(x417) + x270 =E= 0;

e272.. 0.703398106344736*x342*x343 - 1.40679621268947*sqr(x342) + 
       0.461383868548056*x342*x400 + 0.703398106344736*x343*x342 - 
       0.461383868548056*x343*x399 - 0.461383868548056*x399*x343 - 
       1.40679621268947*sqr(x399) + 0.703398106344736*x399*x400 + 
       0.461383868548056*x400*x342 + 0.703398106344736*x400*x399 + x271 =E= 0;

e273.. 0.703398106344736*x342*x343 - 0.461383868548056*x342*x400 + 
       0.703398106344736*x343*x342 - 1.40679621268947*sqr(x343) + 
       0.461383868548056*x343*x399 + 0.461383868548056*x399*x343 + 
       0.703398106344736*x399*x400 - 0.461383868548056*x400*x342 + 
       0.703398106344736*x400*x399 - 1.40679621268947*sqr(x400) + x272 =E= 0;

e274.. 1.05545327520344*x353*x354 - 2.11090655040689*sqr(x353) + 
       0.620678488542935*x353*x411 + 1.05545327520344*x354*x353 - 
       0.620678488542935*x354*x410 - 0.620678488542935*x410*x354 - 
       2.11090655040689*sqr(x410) + 1.05545327520344*x410*x411 + 
       0.620678488542935*x411*x353 + 1.05545327520344*x411*x410 + x273 =E= 0;

e275.. 1.05545327520344*x353*x354 - 0.620678488542935*x353*x411 + 
       1.05545327520344*x354*x353 - 2.11090655040689*sqr(x354) + 
       0.620678488542935*x354*x410 + 0.620678488542935*x410*x354 + 
       1.05545327520344*x410*x411 - 0.620678488542935*x411*x353 + 
       1.05545327520344*x411*x410 - 2.11090655040689*sqr(x411) + x274 =E= 0;

e276.. 6.76465278899414*x319*x320 - 13.5196055779883*sqr(x319) + 
       1.32062744054801*x319*x377 + 6.76465278899414*x320*x319 - 
       1.32062744054801*x320*x376 - 1.32062744054801*x376*x320 - 
       13.5196055779883*sqr(x376) + 6.76465278899414*x376*x377 + 
       1.32062744054801*x377*x319 + 6.76465278899414*x377*x376 + x275 =E= 0;

e277.. 6.76465278899414*x319*x320 - 1.32062744054801*x319*x377 + 
       6.76465278899414*x320*x319 - 13.5196055779883*sqr(x320) + 
       1.32062744054801*x320*x376 + 1.32062744054801*x376*x320 + 
       6.76465278899414*x376*x377 - 1.32062744054801*x377*x319 + 
       6.76465278899414*x377*x376 - 13.5196055779883*sqr(x377) + x276 =E= 0;

e278.. 23.0967938003343*x334*x335 - 46.1935876006686*sqr(x334) + 
       15.0433064883756*x334*x392 + 23.0967938003343*x335*x334 - 
       15.0433064883756*x335*x391 - 15.0433064883756*x391*x335 - 
       46.1935876006686*sqr(x391) + 23.0967938003343*x391*x392 + 
       15.0433064883756*x392*x334 + 23.0967938003343*x392*x391 + x277 =E= 0;

e279.. 23.0967938003343*x334*x335 - 15.0433064883756*x334*x392 + 
       23.0967938003343*x335*x334 - 46.1935876006686*sqr(x335) + 
       15.0433064883756*x335*x391 + 15.0433064883756*x391*x335 + 
       23.0967938003343*x391*x392 - 15.0433064883756*x392*x334 + 
       23.0967938003343*x392*x391 - 46.1935876006686*sqr(x392) + x278 =E= 0;

e280.. 0.667556742323097*x323*x353 - 1.33511348464619*sqr(x323) + 
       0.667556742323097*x353*x323 - 1.33511348464619*sqr(x380) + 
       0.667556742323097*x380*x410 + 0.667556742323097*x410*x380 + x279 =E= 0;

e281.. 0.667556742323097*x323*x353 + 0.667556742323097*x353*x323 - 
       1.33511348464619*sqr(x353) + 0.667556742323097*x380*x410 + 
       0.667556742323097*x410*x380 - 1.33511348464619*sqr(x410) + x280 =E= 0;

e282.. 8.32699040949916*x326*x327 - 16.6465808189983*sqr(x326) + 
       2.60313594154361*x326*x384 + 8.32699040949916*x327*x326 - 
       2.60313594154361*x327*x383 - 2.60313594154361*x383*x327 - 
       16.6465808189983*sqr(x383) + 8.32699040949916*x383*x384 + 
       2.60313594154361*x384*x326 + 8.32699040949916*x384*x383 + x281 =E= 0;

e283.. 8.32699040949916*x326*x327 - 2.60313594154361*x326*x384 + 
       8.32699040949916*x327*x326 - 16.6465808189983*sqr(x327) + 
       2.60313594154361*x327*x383 + 2.60313594154361*x383*x327 + 
       8.32699040949916*x383*x384 - 2.60313594154361*x384*x326 + 
       8.32699040949916*x384*x383 - 16.6465808189983*sqr(x384) + x282 =E= 0;

e284.. 2.80701631271214*x361*x362 - 5.61403262542429*sqr(x361) + 
       1.7565781769394*x361*x419 + 2.80701631271214*x362*x361 - 1.7565781769394
       *x362*x418 - 1.7565781769394*x418*x362 - 5.61403262542429*sqr(x418) + 
       2.80701631271214*x418*x419 + 1.7565781769394*x419*x361 + 
       2.80701631271214*x419*x418 + x283 =E= 0;

e285.. 2.80701631271214*x361*x362 - 1.7565781769394*x361*x419 + 
       2.80701631271214*x362*x361 - 5.61403262542429*sqr(x362) + 
       1.7565781769394*x362*x418 + 1.7565781769394*x418*x362 + 2.80701631271214
       *x418*x419 - 1.7565781769394*x419*x361 + 2.80701631271214*x419*x418 - 
       5.61403262542429*sqr(x419) + x284 =E= 0;

e286.. 3.26797385620915*x323*x355 - 6.5359477124183*sqr(x323) + 
       3.26797385620915*x355*x323 - 6.5359477124183*sqr(x380) + 
       3.26797385620915*x380*x412 + 3.26797385620915*x412*x380 + x285 =E= 0;

e287.. 3.26797385620915*x323*x355 + 3.26797385620915*x355*x323 - 
       6.5359477124183*sqr(x355) + 3.26797385620915*x380*x412 + 
       3.26797385620915*x412*x380 - 6.5359477124183*sqr(x412) + x286 =E= 0;

e288.. 0.502386519319512*x330*x331 - 1.00477303863902*sqr(x330) + 
       0.338102460447146*x330*x388 + 0.502386519319512*x331*x330 - 
       0.338102460447146*x331*x387 - 0.338102460447146*x387*x331 - 
       1.00477303863902*sqr(x387) + 0.502386519319512*x387*x388 + 
       0.338102460447146*x388*x330 + 0.502386519319512*x388*x387 + x287 =E= 0;

e289.. 0.502386519319512*x330*x331 - 0.338102460447146*x330*x388 + 
       0.502386519319512*x331*x330 - 1.00477303863902*sqr(x331) + 
       0.338102460447146*x331*x387 + 0.338102460447146*x387*x331 + 
       0.502386519319512*x387*x388 - 0.338102460447146*x388*x330 + 
       0.502386519319512*x388*x387 - 1.00477303863902*sqr(x388) + x288 =E= 0;

e290.. 6.25050166253097*x323*x325 - 12.491603325062*sqr(x323) + 
       1.90418288353061*x323*x382 + 6.25050166253097*x325*x323 - 
       1.90418288353061*x325*x380 - 1.90418288353061*x380*x325 - 
       12.491603325062*sqr(x380) + 6.25050166253097*x380*x382 + 
       1.90418288353061*x382*x323 + 6.25050166253097*x382*x380 + x289 =E= 0;

e291.. 6.25050166253097*x323*x325 - 1.90418288353061*x323*x382 + 
       6.25050166253097*x325*x323 - 12.491603325062*sqr(x325) + 
       1.90418288353061*x325*x380 + 1.90418288353061*x380*x325 + 
       6.25050166253097*x380*x382 - 1.90418288353061*x382*x323 + 
       6.25050166253097*x382*x380 - 12.491603325062*sqr(x382) + x290 =E= 0;

e292.. 7.58572191329487*x348*x352 - 15.1714438265897*sqr(x348) + 
       4.88351196134863*x348*x409 + 7.58572191329487*x352*x348 - 
       4.88351196134863*x352*x405 - 4.88351196134863*x405*x352 - 
       15.1714438265897*sqr(x405) + 7.58572191329487*x405*x409 + 
       4.88351196134863*x409*x348 + 7.58572191329487*x409*x405 + x291 =E= 0;

e293.. 7.58572191329487*x348*x352 - 4.88351196134863*x348*x409 + 
       7.58572191329487*x352*x348 - 15.1714438265897*sqr(x352) + 
       4.88351196134863*x352*x405 + 4.88351196134863*x405*x352 + 
       7.58572191329487*x405*x409 - 4.88351196134863*x409*x348 + 
       7.58572191329487*x409*x405 - 15.1714438265897*sqr(x409) + x292 =E= 0;

e294.. 1.61689835267107*x321*x324 - 3.19519670534214*sqr(x321) + 
       0.355169536451137*x321*x381 + 1.61689835267107*x324*x321 - 
       0.355169536451137*x324*x378 - 0.355169536451137*x378*x324 - 
       3.19519670534214*sqr(x378) + 1.61689835267107*x378*x381 + 
       0.355169536451137*x381*x321 + 1.61689835267107*x381*x378 + x293 =E= 0;

e295.. 1.61689835267107*x321*x324 - 0.355169536451137*x321*x381 + 
       1.61689835267107*x324*x321 - 3.19519670534214*sqr(x324) + 
       0.355169536451137*x324*x378 + 0.355169536451137*x378*x324 + 
       1.61689835267107*x378*x381 - 0.355169536451137*x381*x321 + 
       1.61689835267107*x381*x378 - 3.19519670534214*sqr(x381) + x294 =E= 0;

e296.. 3.49889935514834*x349*x350 - 6.99679871029668*sqr(x349) + 
       2.25746628364873*x349*x407 + 3.49889935514834*x350*x349 - 
       2.25746628364873*x350*x406 - 2.25746628364873*x406*x350 - 
       6.99679871029668*sqr(x406) + 3.49889935514834*x406*x407 + 
       2.25746628364873*x407*x349 + 3.49889935514834*x407*x406 + x295 =E= 0;

e297.. 3.49889935514834*x349*x350 - 2.25746628364873*x349*x407 + 
       3.49889935514834*x350*x349 - 6.99679871029668*sqr(x350) + 
       2.25746628364873*x350*x406 + 2.25746628364873*x406*x350 + 
       3.49889935514834*x406*x407 - 2.25746628364873*x407*x349 + 
       3.49889935514834*x407*x406 - 6.99679871029668*sqr(x407) + x296 =E= 0;

e298.. 2.66233632952763*x324*x329 - 5.30087265905526*sqr(x324) + 
       0.590473476437134*x324*x386 + 2.66233632952763*x329*x324 - 
       0.590473476437134*x329*x381 - 0.590473476437134*x381*x329 - 
       5.30087265905526*sqr(x381) + 2.66233632952763*x381*x386 + 
       0.590473476437134*x386*x324 + 2.66233632952763*x386*x381 + x297 =E= 0;

e299.. 2.66233632952763*x324*x329 - 0.590473476437134*x324*x386 + 
       2.66233632952763*x329*x324 - 5.30087265905526*sqr(x329) + 
       0.590473476437134*x329*x381 + 0.590473476437134*x381*x329 + 
       2.66233632952763*x381*x386 - 0.590473476437134*x386*x324 + 
       2.66233632952763*x386*x381 - 5.30087265905526*sqr(x386) + x298 =E= 0;

e300.. 8.39233958249257*x348*x349 - 16.7846791649851*sqr(x348) + 
       6.64966797519903*x348*x406 + 8.39233958249257*x349*x348 - 
       6.64966797519903*x349*x405 - 6.64966797519903*x405*x349 - 
       16.7846791649851*sqr(x405) + 8.39233958249257*x405*x406 + 
       6.64966797519903*x406*x348 + 8.39233958249257*x406*x405 + x299 =E= 0;

e301.. 8.39233958249257*x348*x349 - 6.64966797519903*x348*x406 + 
       8.39233958249257*x349*x348 - 16.7846791649851*sqr(x349) + 
       6.64966797519903*x349*x405 + 6.64966797519903*x405*x349 + 
       8.39233958249257*x405*x406 - 6.64966797519903*x406*x348 + 
       8.39233958249257*x406*x405 - 16.7846791649851*sqr(x406) + x300 =E= 0;

e302.. 1.30201259719636*x365*x366 - 2.60402519439273*sqr(x365) + 
       1.0539567489374*x365*x423 + 1.30201259719636*x366*x365 - 1.0539567489374
       *x366*x422 - 1.0539567489374*x422*x366 - 2.60402519439273*sqr(x422) + 
       1.30201259719636*x422*x423 + 1.0539567489374*x423*x365 + 
       1.30201259719636*x423*x422 + x301 =E= 0;

e303.. 1.30201259719636*x365*x366 - 1.0539567489374*x365*x423 + 
       1.30201259719636*x366*x365 - 2.60402519439273*sqr(x366) + 
       1.0539567489374*x366*x422 + 1.0539567489374*x422*x366 + 1.30201259719636
       *x422*x423 - 1.0539567489374*x423*x365 + 1.30201259719636*x423*x422 - 
       2.60402519439273*sqr(x423) + x302 =E= 0;

e304.. 0.418410041841004*x352*x368 - 0.836820083682008*sqr(x352) + 
       0.418410041841004*x368*x352 - 0.836820083682008*sqr(x409) + 
       0.418410041841004*x409*x425 + 0.418410041841004*x425*x409 + x303 =E= 0;

e305.. 0.418410041841004*x352*x368 + 0.418410041841004*x368*x352 - 
       0.836820083682008*sqr(x368) + 0.418410041841004*x409*x425 + 
       0.418410041841004*x425*x409 - 0.836820083682008*sqr(x425) + x304 =E= 0;

e306.. 0.808359254223398*x331*x332 - 1.6167185084468*sqr(x331) + 
       0.527109836279312*x331*x389 + 0.808359254223398*x332*x331 - 
       0.527109836279312*x332*x388 - 0.527109836279312*x388*x332 - 
       1.6167185084468*sqr(x388) + 0.808359254223398*x388*x389 + 
       0.527109836279312*x389*x331 + 0.808359254223398*x389*x388 + x305 =E= 0;

e307.. 0.808359254223398*x331*x332 - 0.527109836279312*x331*x389 + 
       0.808359254223398*x332*x331 - 1.6167185084468*sqr(x332) + 
       0.527109836279312*x332*x388 + 0.527109836279312*x388*x332 + 
       0.808359254223398*x388*x389 - 0.527109836279312*x389*x331 + 
       0.808359254223398*x389*x388 - 1.6167185084468*sqr(x389) + x306 =E= 0;

e308.. 2.61780104712042*x325*x361 - 5.23560209424084*sqr(x325) + 
       2.61780104712042*x361*x325 - 5.23560209424084*sqr(x382) + 
       2.61780104712042*x382*x418 + 2.61780104712042*x418*x382 + x307 =E= 0;

e309.. 2.61780104712042*x325*x361 + 2.61780104712042*x361*x325 - 
       5.23560209424084*sqr(x361) + 2.61780104712042*x382*x418 + 
       2.61780104712042*x418*x382 - 5.23560209424084*sqr(x418) + x308 =E= 0;

e310.. 6.87029355531232*x350*x356 - 13.7395871106246*sqr(x350) + 
       3.39404245723976*x350*x413 + 6.87029355531232*x356*x350 - 
       3.39404245723976*x356*x407 - 3.39404245723976*x407*x356 - 
       13.7395871106246*sqr(x407) + 6.87029355531232*x407*x413 + 
       3.39404245723976*x413*x350 + 6.87029355531232*x413*x407 + x309 =E= 0;

e311.. 6.87029355531232*x350*x356 - 3.39404245723976*x350*x413 + 
       6.87029355531232*x356*x350 - 13.7395871106246*sqr(x356) + 
       3.39404245723976*x356*x407 + 3.39404245723976*x407*x356 + 
       6.87029355531232*x407*x413 - 3.39404245723976*x413*x350 + 
       6.87029355531232*x413*x407 - 13.7395871106246*sqr(x413) + x310 =E= 0;

e312.. 1.39298053431166*x366*x367 - 2.78596106862333*sqr(x366) + 
       1.06518423197695*x366*x424 + 1.39298053431166*x367*x366 - 
       1.06518423197695*x367*x423 - 1.06518423197695*x423*x367 - 
       2.78596106862333*sqr(x423) + 1.39298053431166*x423*x424 + 
       1.06518423197695*x424*x366 + 1.39298053431166*x424*x423 + x311 =E= 0;

e313.. 1.39298053431166*x366*x367 - 1.06518423197695*x366*x424 + 
       1.39298053431166*x367*x366 - 2.78596106862333*sqr(x367) + 
       1.06518423197695*x367*x423 + 1.06518423197695*x423*x367 + 
       1.39298053431166*x423*x424 - 1.06518423197695*x424*x366 + 
       1.39298053431166*x424*x423 - 2.78596106862333*sqr(x424) + x312 =E= 0;

e314.. sqr(x1) + sqr(x157) =L= 9801;

e315.. sqr(x2) + sqr(x158) =L= 9801;

e316.. sqr(x3) + sqr(x159) =L= 9801;

e317.. sqr(x4) + sqr(x160) =L= 9801;

e318.. sqr(x5) + sqr(x161) =L= 9801;

e319.. sqr(x6) + sqr(x162) =L= 9801;

e320.. sqr(x7) + sqr(x163) =L= 9801;

e321.. sqr(x8) + sqr(x164) =L= 9801;

e322.. sqr(x9) + sqr(x165) =L= 9801;

e323.. sqr(x10) + sqr(x166) =L= 9801;

e324.. sqr(x11) + sqr(x167) =L= 9801;

e325.. sqr(x12) + sqr(x168) =L= 9801;

e326.. sqr(x13) + sqr(x169) =L= 9801;

e327.. sqr(x14) + sqr(x170) =L= 9801;

e328.. sqr(x15) + sqr(x171) =L= 9801;

e329.. sqr(x16) + sqr(x172) =L= 9801;

e330.. sqr(x17) + sqr(x173) =L= 9801;

e331.. sqr(x18) + sqr(x174) =L= 9801;

e332.. sqr(x19) + sqr(x175) =L= 9801;

e333.. sqr(x20) + sqr(x176) =L= 9801;

e334.. sqr(x21) + sqr(x177) =L= 9801;

e335.. sqr(x22) + sqr(x178) =L= 9801;

e336.. sqr(x23) + sqr(x179) =L= 9801;

e337.. sqr(x24) + sqr(x180) =L= 9801;

e338.. sqr(x25) + sqr(x181) =L= 9801;

e339.. sqr(x26) + sqr(x182) =L= 9801;

e340.. sqr(x27) + sqr(x183) =L= 9801;

e341.. sqr(x28) + sqr(x184) =L= 9801;

e342.. sqr(x29) + sqr(x185) =L= 9801;

e343.. sqr(x30) + sqr(x186) =L= 9801;

e344.. sqr(x31) + sqr(x187) =L= 9801;

e345.. sqr(x32) + sqr(x188) =L= 9801;

e346.. sqr(x33) + sqr(x189) =L= 9801;

e347.. sqr(x34) + sqr(x190) =L= 9801;

e348.. sqr(x35) + sqr(x191) =L= 9801;

e349.. sqr(x36) + sqr(x192) =L= 9801;

e350.. sqr(x37) + sqr(x193) =L= 9801;

e351.. sqr(x38) + sqr(x194) =L= 9801;

e352.. sqr(x39) + sqr(x195) =L= 9801;

e353.. sqr(x40) + sqr(x196) =L= 9801;

e354.. sqr(x41) + sqr(x197) =L= 9801;

e355.. sqr(x42) + sqr(x198) =L= 9801;

e356.. sqr(x43) + sqr(x199) =L= 9801;

e357.. sqr(x44) + sqr(x200) =L= 9801;

e358.. sqr(x45) + sqr(x201) =L= 9801;

e359.. sqr(x46) + sqr(x202) =L= 9801;

e360.. sqr(x47) + sqr(x203) =L= 9801;

e361.. sqr(x48) + sqr(x204) =L= 9801;

e362.. sqr(x49) + sqr(x205) =L= 9801;

e363.. sqr(x50) + sqr(x206) =L= 9801;

e364.. sqr(x51) + sqr(x207) =L= 9801;

e365.. sqr(x52) + sqr(x208) =L= 9801;

e366.. sqr(x53) + sqr(x209) =L= 9801;

e367.. sqr(x54) + sqr(x210) =L= 9801;

e368.. sqr(x55) + sqr(x211) =L= 9801;

e369.. sqr(x56) + sqr(x212) =L= 9801;

e370.. sqr(x57) + sqr(x213) =L= 9801;

e371.. sqr(x58) + sqr(x214) =L= 9801;

e372.. sqr(x59) + sqr(x215) =L= 9801;

e373.. sqr(x60) + sqr(x216) =L= 9801;

e374.. sqr(x61) + sqr(x217) =L= 9801;

e375.. sqr(x62) + sqr(x218) =L= 9801;

e376.. sqr(x63) + sqr(x219) =L= 9801;

e377.. sqr(x64) + sqr(x220) =L= 9801;

e378.. sqr(x65) + sqr(x221) =L= 9801;

e379.. sqr(x66) + sqr(x222) =L= 9801;

e380.. sqr(x67) + sqr(x223) =L= 9801;

e381.. sqr(x68) + sqr(x224) =L= 9801;

e382.. sqr(x69) + sqr(x225) =L= 9801;

e383.. sqr(x70) + sqr(x226) =L= 9801;

e384.. sqr(x71) + sqr(x227) =L= 9801;

e385.. sqr(x72) + sqr(x228) =L= 9801;

e386.. sqr(x73) + sqr(x229) =L= 9801;

e387.. sqr(x74) + sqr(x230) =L= 9801;

e388.. sqr(x75) + sqr(x231) =L= 9801;

e389.. sqr(x76) + sqr(x232) =L= 9801;

e390.. sqr(x77) + sqr(x233) =L= 9801;

e391.. sqr(x78) + sqr(x234) =L= 9801;

e392.. sqr(x79) + sqr(x235) =L= 9801;

e393.. sqr(x80) + sqr(x236) =L= 9801;

e394.. sqr(x81) + sqr(x237) =L= 9801;

e395.. sqr(x82) + sqr(x238) =L= 9801;

e396.. sqr(x83) + sqr(x239) =L= 9801;

e397.. sqr(x84) + sqr(x240) =L= 9801;

e398.. sqr(x85) + sqr(x241) =L= 9801;

e399.. sqr(x86) + sqr(x242) =L= 9801;

e400.. sqr(x87) + sqr(x243) =L= 9801;

e401.. sqr(x88) + sqr(x244) =L= 9801;

e402.. sqr(x89) + sqr(x245) =L= 9801;

e403.. sqr(x90) + sqr(x246) =L= 9801;

e404.. sqr(x91) + sqr(x247) =L= 9801;

e405.. sqr(x92) + sqr(x248) =L= 9801;

e406.. sqr(x93) + sqr(x249) =L= 9801;

e407.. sqr(x94) + sqr(x250) =L= 9801;

e408.. sqr(x95) + sqr(x251) =L= 9801;

e409.. sqr(x96) + sqr(x252) =L= 9801;

e410.. sqr(x97) + sqr(x253) =L= 9801;

e411.. sqr(x98) + sqr(x254) =L= 9801;

e412.. sqr(x99) + sqr(x255) =L= 9801;

e413.. sqr(x100) + sqr(x256) =L= 9801;

e414.. sqr(x101) + sqr(x257) =L= 9801;

e415.. sqr(x102) + sqr(x258) =L= 9801;

e416.. sqr(x103) + sqr(x259) =L= 9801;

e417.. sqr(x104) + sqr(x260) =L= 9801;

e418.. sqr(x105) + sqr(x261) =L= 9801;

e419.. sqr(x106) + sqr(x262) =L= 9801;

e420.. sqr(x107) + sqr(x263) =L= 9801;

e421.. sqr(x108) + sqr(x264) =L= 9801;

e422.. sqr(x109) + sqr(x265) =L= 9801;

e423.. sqr(x110) + sqr(x266) =L= 9801;

e424.. sqr(x111) + sqr(x267) =L= 9801;

e425.. sqr(x112) + sqr(x268) =L= 9801;

e426.. sqr(x113) + sqr(x269) =L= 9801;

e427.. sqr(x114) + sqr(x270) =L= 9801;

e428.. sqr(x115) + sqr(x271) =L= 9801;

e429.. sqr(x116) + sqr(x272) =L= 9801;

e430.. sqr(x117) + sqr(x273) =L= 9801;

e431.. sqr(x118) + sqr(x274) =L= 9801;

e432.. sqr(x119) + sqr(x275) =L= 9801;

e433.. sqr(x120) + sqr(x276) =L= 9801;

e434.. sqr(x121) + sqr(x277) =L= 9801;

e435.. sqr(x122) + sqr(x278) =L= 9801;

e436.. sqr(x123) + sqr(x279) =L= 9801;

e437.. sqr(x124) + sqr(x280) =L= 9801;

e438.. sqr(x125) + sqr(x281) =L= 9801;

e439.. sqr(x126) + sqr(x282) =L= 9801;

e440.. sqr(x127) + sqr(x283) =L= 9801;

e441.. sqr(x128) + sqr(x284) =L= 9801;

e442.. sqr(x129) + sqr(x285) =L= 9801;

e443.. sqr(x130) + sqr(x286) =L= 9801;

e444.. sqr(x131) + sqr(x287) =L= 9801;

e445.. sqr(x132) + sqr(x288) =L= 9801;

e446.. sqr(x133) + sqr(x289) =L= 9801;

e447.. sqr(x134) + sqr(x290) =L= 9801;

e448.. sqr(x135) + sqr(x291) =L= 9801;

e449.. sqr(x136) + sqr(x292) =L= 9801;

e450.. sqr(x137) + sqr(x293) =L= 9801;

e451.. sqr(x138) + sqr(x294) =L= 9801;

e452.. sqr(x139) + sqr(x295) =L= 9801;

e453.. sqr(x140) + sqr(x296) =L= 9801;

e454.. sqr(x141) + sqr(x297) =L= 9801;

e455.. sqr(x142) + sqr(x298) =L= 9801;

e456.. sqr(x143) + sqr(x299) =L= 9801;

e457.. sqr(x144) + sqr(x300) =L= 9801;

e458.. sqr(x145) + sqr(x301) =L= 9801;

e459.. sqr(x146) + sqr(x302) =L= 9801;

e460.. sqr(x147) + sqr(x303) =L= 9801;

e461.. sqr(x148) + sqr(x304) =L= 9801;

e462.. sqr(x149) + sqr(x305) =L= 9801;

e463.. sqr(x150) + sqr(x306) =L= 9801;

e464.. sqr(x151) + sqr(x307) =L= 9801;

e465.. sqr(x152) + sqr(x308) =L= 9801;

e466.. sqr(x153) + sqr(x309) =L= 9801;

e467.. sqr(x154) + sqr(x310) =L= 9801;

e468.. sqr(x155) + sqr(x311) =L= 9801;

e469.. sqr(x156) + sqr(x312) =L= 9801;

e470.. sqr(x313) + sqr(x370) =L= 1.1236;

e471.. sqr(x314) + sqr(x371) =L= 1.1236;

e472.. sqr(x315) + sqr(x372) =L= 1.1236;

e473.. sqr(x316) + sqr(x373) =L= 1.1236;

e474.. sqr(x317) + sqr(x374) =L= 1.1236;

e475.. sqr(x318) + sqr(x375) =L= 1.1236;

e476.. sqr(x319) + sqr(x376) =L= 1.1236;

e477.. sqr(x320) + sqr(x377) =L= 1.1236;

e478.. sqr(x321) + sqr(x378) =L= 1.1236;

e479.. sqr(x322) + sqr(x379) =L= 1.1236;

e480.. sqr(x323) + sqr(x380) =L= 1.1236;

e481.. sqr(x324) + sqr(x381) =L= 1.1236;

e482.. sqr(x325) + sqr(x382) =L= 1.1236;

e483.. sqr(x326) + sqr(x383) =L= 1.1236;

e484.. sqr(x327) + sqr(x384) =L= 1.1236;

e485.. sqr(x328) + sqr(x385) =L= 1.1236;

e486.. sqr(x329) + sqr(x386) =L= 1.1236;

e487.. sqr(x330) + sqr(x387) =L= 1.1236;

e488.. sqr(x331) + sqr(x388) =L= 1.1236;

e489.. sqr(x332) + sqr(x389) =L= 1.1236;

e490.. sqr(x333) + sqr(x390) =L= 1.1236;

e491.. sqr(x334) + sqr(x391) =L= 1.1236;

e492.. sqr(x335) + sqr(x392) =L= 1.1236;

e493.. sqr(x336) + sqr(x393) =L= 1.1236;

e494.. sqr(x337) + sqr(x394) =L= 1.1236;

e495.. sqr(x338) + sqr(x395) =L= 1.1236;

e496.. sqr(x339) + sqr(x396) =L= 1.1236;

e497.. sqr(x340) + sqr(x397) =L= 1.1236;

e498.. sqr(x341) + sqr(x398) =L= 1.1236;

e499.. sqr(x342) + sqr(x399) =L= 1.1236;

e500.. sqr(x343) + sqr(x400) =L= 1.1236;

e501.. sqr(x344) + sqr(x401) =L= 1.1236;

e502.. sqr(x345) + sqr(x402) =L= 1.1236;

e503.. sqr(x346) + sqr(x403) =L= 1.1236;

e504.. sqr(x347) + sqr(x404) =L= 1.1236;

e505.. sqr(x348) + sqr(x405) =L= 1.1236;

e506.. sqr(x349) + sqr(x406) =L= 1.1236;

e507.. sqr(x350) + sqr(x407) =L= 1.1236;

e508.. sqr(x351) + sqr(x408) =L= 1.1236;

e509.. sqr(x352) + sqr(x409) =L= 1.1236;

e510.. sqr(x353) + sqr(x410) =L= 1.1236;

e511.. sqr(x354) + sqr(x411) =L= 1.1236;

e512.. sqr(x355) + sqr(x412) =L= 1.1236;

e513.. sqr(x356) + sqr(x413) =L= 1.1236;

e514.. sqr(x357) + sqr(x414) =L= 1.1236;

e515.. sqr(x358) + sqr(x415) =L= 1.1236;

e516.. sqr(x359) + sqr(x416) =L= 1.1236;

e517.. sqr(x360) + sqr(x417) =L= 1.1236;

e518.. sqr(x361) + sqr(x418) =L= 1.1236;

e519.. sqr(x362) + sqr(x419) =L= 1.1236;

e520.. sqr(x363) + sqr(x420) =L= 1.1236;

e521.. sqr(x364) + sqr(x421) =L= 1.1236;

e522.. sqr(x365) + sqr(x422) =L= 1.1236;

e523.. sqr(x366) + sqr(x423) =L= 1.1236;

e524.. sqr(x367) + sqr(x424) =L= 1.1236;

e525.. sqr(x368) + sqr(x425) =L= 1.1236;

e526.. sqr(x369) + sqr(x426) =L= 1.1236;

e527.. sqr(x313) + sqr(x370) =G= 0.8836;

e528.. sqr(x314) + sqr(x371) =G= 0.8836;

e529.. sqr(x315) + sqr(x372) =G= 0.8836;

e530.. sqr(x316) + sqr(x373) =G= 0.8836;

e531.. sqr(x317) + sqr(x374) =G= 0.8836;

e532.. sqr(x318) + sqr(x375) =G= 0.8836;

e533.. sqr(x319) + sqr(x376) =G= 0.8836;

e534.. sqr(x320) + sqr(x377) =G= 0.8836;

e535.. sqr(x321) + sqr(x378) =G= 0.8836;

e536.. sqr(x322) + sqr(x379) =G= 0.8836;

e537.. sqr(x323) + sqr(x380) =G= 0.8836;

e538.. sqr(x324) + sqr(x381) =G= 0.8836;

e539.. sqr(x325) + sqr(x382) =G= 0.8836;

e540.. sqr(x326) + sqr(x383) =G= 0.8836;

e541.. sqr(x327) + sqr(x384) =G= 0.8836;

e542.. sqr(x328) + sqr(x385) =G= 0.8836;

e543.. sqr(x329) + sqr(x386) =G= 0.8836;

e544.. sqr(x330) + sqr(x387) =G= 0.8836;

e545.. sqr(x331) + sqr(x388) =G= 0.8836;

e546.. sqr(x332) + sqr(x389) =G= 0.8836;

e547.. sqr(x333) + sqr(x390) =G= 0.8836;

e548.. sqr(x334) + sqr(x391) =G= 0.8836;

e549.. sqr(x335) + sqr(x392) =G= 0.8836;

e550.. sqr(x336) + sqr(x393) =G= 0.8836;

e551.. sqr(x337) + sqr(x394) =G= 0.8836;

e552.. sqr(x338) + sqr(x395) =G= 0.8836;

e553.. sqr(x339) + sqr(x396) =G= 0.8836;

e554.. sqr(x340) + sqr(x397) =G= 0.8836;

e555.. sqr(x341) + sqr(x398) =G= 0.8836;

e556.. sqr(x342) + sqr(x399) =G= 0.8836;

e557.. sqr(x343) + sqr(x400) =G= 0.8836;

e558.. sqr(x344) + sqr(x401) =G= 0.8836;

e559.. sqr(x345) + sqr(x402) =G= 0.8836;

e560.. sqr(x346) + sqr(x403) =G= 0.8836;

e561.. sqr(x347) + sqr(x404) =G= 0.8836;

e562.. sqr(x348) + sqr(x405) =G= 0.8836;

e563.. sqr(x349) + sqr(x406) =G= 0.8836;

e564.. sqr(x350) + sqr(x407) =G= 0.8836;

e565.. sqr(x351) + sqr(x408) =G= 0.8836;

e566.. sqr(x352) + sqr(x409) =G= 0.8836;

e567.. sqr(x353) + sqr(x410) =G= 0.8836;

e568.. sqr(x354) + sqr(x411) =G= 0.8836;

e569.. sqr(x355) + sqr(x412) =G= 0.8836;

e570.. sqr(x356) + sqr(x413) =G= 0.8836;

e571.. sqr(x357) + sqr(x414) =G= 0.8836;

e572.. sqr(x358) + sqr(x415) =G= 0.8836;

e573.. sqr(x359) + sqr(x416) =G= 0.8836;

e574.. sqr(x360) + sqr(x417) =G= 0.8836;

e575.. sqr(x361) + sqr(x418) =G= 0.8836;

e576.. sqr(x362) + sqr(x419) =G= 0.8836;

e577.. sqr(x363) + sqr(x420) =G= 0.8836;

e578.. sqr(x364) + sqr(x421) =G= 0.8836;

e579.. sqr(x365) + sqr(x422) =G= 0.8836;

e580.. sqr(x366) + sqr(x423) =G= 0.8836;

e581.. sqr(x367) + sqr(x424) =G= 0.8836;

e582.. sqr(x368) + sqr(x425) =G= 0.8836;

e583.. sqr(x369) + sqr(x426) =G= 0.8836;

e584..    x427 =L= 5.7588;

e585..    x428 =L= 1;

e586..    x429 =L= 1.4;

e587..    x430 =L= 1;

e588..    x431 =L= 5.5;

e589..    x432 =L= 1;

e590..    x433 =L= 4.1;

e591..    x427 =G= 0;

e592..    x428 =G= 0;

e593..    x429 =G= 0;

e594..    x430 =G= 0;

e595..    x431 =G= 0;

e596..    x432 =G= 0;

e597..    x433 =G= 0;

e598..    x434 =L= 2;

e599..    x435 =L= 0.5;

e600..    x436 =L= 0.6;

e601..    x437 =L= 0.25;

e602..    x438 =L= 2;

e603..    x439 =L= 0.09;

e604..    x440 =L= 1.55;

e605..    x434 =G= -1.4;

e606..    x435 =G= -0.17;

e607..    x436 =G= -0.1;

e608..    x437 =G= -0.08;

e609..    x438 =G= -1.4;

e610..    x439 =G= -0.03;

e611..    x440 =G= -1.5;

e612..    x370 =E= 0;

e613..    x1 + x35 + x43 + x91 - x427 =E= -0.55;

e614..    x11 + x36 - x428 =E= -0.03;

e615..    x12 + x19 + x41 - x429 =E= -0.41;

e616..    x15 + x81 + x96 + x98 - x430 =E= -0.75;

e617..    x61 + x82 + x120 - x431 =E= -1.5;

e618..    x5 + x37 + x62 + x73 + x105 + x137 - x432 =E= -1.21;

e619..    x3 + x88 + x109 + x138 + x141 - x433 =E= -3.77;

e620..    x157 + x191 + x199 + x247 - x434 =E= -0.17;

e621..    x167 + x192 - x435 =E= -0.88;

e622..    x168 + x175 + x197 - x436 =E= -0.21;

e623..    x171 + x237 + x252 + x254 - x437 =E= -0.02;

e624..    x217 + x238 + x276 - x438 =E= -0.22;

e625..    x161 + x193 + x218 + x229 + x261 + x293 - x439 =E= -0.26;

e626..    x159 + x244 + x265 + x294 + x297 - x440 =E= -0.24;

e627..    x42 + x49 + x95 + x103 =E= 0;

e628..    x50 + x97 =E= -0.13;

e629..    x9 + x16 + x119 =E= 0;

e630..    x74 + x87 + x107 =E= -0.05;

e631..    x38 + x123 + x129 + x133 =E= 0;

e632..    x4 + x77 + x106 + x111 + x134 + x151 =E= -0.18;

e633..    x83 + x112 + x125 =E= -0.105;

e634..    x20 + x67 + x78 + x92 + x126 =E= -0.22;

e635..    x44 + x110 =E= -0.43;

e636..    x2 + x142 =E= -0.42;

e637..    x104 + x131 =E= -0.272;

e638..    x132 + x149 =E= -0.033;

e639..    x66 + x150 =E= -0.023;

e640..    x65 + x93 =E= 0;

e641..    x63 + x94 + x121 =E= 0;

e642..    x53 + x122 =E= -0.063;

e643..    x13 + x45 + x54 =E= 0;

e644..    x46 + x51 =E= -0.063;

e645..    x14 + x27 =E= 0;

e646..    x28 + x31 =E= -0.093;

e647..    x32 + x57 =E= -0.046;

e648..    x10 + x17 + x58 =E= -0.17;

e649..    x52 + x115 =E= -0.036;

e650..    x79 + x116 =E= -0.058;

e651..    x55 + x72 + x80 =E= -0.016;

e652..    x56 =E= -0.038;

e653..    x39 + x71 =E= 0;

e654..    x40 + x99 =E= -0.06;

e655..    x100 + x135 + x143 =E= 0;

e656..    x47 + x139 + x144 =E= 0;

e657..    x64 + x85 + x89 + x140 + x153 =E= -0.14;

e658..    x21 + x48 =E= 0;

e659..    x136 + x147 =E= 0;

e660..    x25 + x76 + x117 + x124 =E= -0.063;

e661..    x60 + x118 =E= -0.071;

e662..    x26 + x130 =E= -0.02;

e663..    x7 + x154 =E= -0.12;

e664..    x8 + x68 =E= 0;

e665..    x23 + x84 =E= 0;

e666..    x24 + x113 =E= -0.297;

e667..    x29 + x90 + x114 =E= 0;

e668..    x30 + x86 + x127 + x152 =E= -0.18;

e669..    x101 + x128 =E= -0.21;

e670..    x102 + x108 =E= -0.18;

e671..    x18 + x69 =E= -0.049;

e672..    x70 + x145 =E= -0.2;

e673..    x146 + x155 =E= -0.041;

e674..    x6 + x156 =E= -0.068;

e675..    x34 + x59 + x75 + x148 =E= -0.076;

e676..    x22 + x33 =E= -0.067;

e677..    x198 + x205 + x251 + x259 =E= 0;

e678..    x206 + x253 =E= -0.04;

e679..    x165 + x172 + x275 =E= 0;

e680..    x230 + x243 + x263 =E= -0.02;

e681..    x194 + x279 + x285 + x289 =E= 0;

e682..    x160 + x233 + x262 + x267 + x290 + x307 =E= -0.023;

e683..    x239 + x268 + x281 =E= -0.053;

e684..    x176 + x223 + x234 + x248 + x282 =E= -0.05;

e685..    x200 + x266 =E= -0.03;

e686..    x158 + x298 =E= -0.08;

e687..    x260 + x287 =E= -0.098;

e688..    x288 + x305 =E= -0.006;

e689..    x222 + x306 =E= -0.01;

e690..    x221 + x249 =E= 0;

e691..    x219 + x250 + x277 =E= 0;

e692..    x209 + x278 =E= -0.021;

e693..    x169 + x201 + x210 =E= 0;

e694..    x202 + x207 =E= -0.032;

e695..    x170 + x183 =E= 0;

e696..    x184 + x187 =E= -0.005;

e697..    x188 + x213 =E= -0.023;

e698..    x166 + x173 + x214 =E= -0.026;

e699..    x208 + x271 =E= -0.018;

e700..    x235 + x272 =E= -0.029;

e701..    x211 + x228 + x236 =E= -0.008;

e702..    x212 =E= -0.019;

e703..    x195 + x227 =E= 0;

e704..    x196 + x255 =E= -0.03;

e705..    x256 + x291 + x299 =E= 0;

e706..    x203 + x295 + x300 =E= 0;

e707..    x220 + x241 + x245 + x296 + x309 =E= -0.07;

e708..    x177 + x204 =E= 0;

e709..    x292 + x303 =E= 0;

e710..    x181 + x232 + x273 + x280 =E= -0.03;

e711..    x216 + x274 =E= -0.044;

e712..    x182 + x286 =E= -0.01;

e713..    x163 + x310 =E= -0.018;

e714..    x164 + x224 =E= 0;

e715..    x179 + x240 =E= 0;

e716..    x180 + x269 =E= -0.116;

e717..    x185 + x246 + x270 =E= 0;

e718..    x186 + x242 + x283 + x308 =E= -0.085;

e719..    x257 + x284 =E= -0.105;

e720..    x258 + x264 =E= -0.053;

e721..    x174 + x225 =E= -0.022;

e722..    x226 + x301 =E= -0.1;

e723..    x302 + x311 =E= -0.014;

e724..    x162 + x312 =E= -0.034;

e725..    x190 + x215 + x231 + x304 =E= -0.022;

e726..    x178 + x189 =E= -0.02;

Model m / all /;

m.limrow=0; m.limcol=0;
m.tolproj=0.0;

$if NOT '%gams.u1%' == '' $include '%gams.u1%'

$if not set NLP $set NLP NLP
Solve m using %NLP% minimizing objvar;


Last updated: 2022-08-11 Git hash: f176bd52
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