MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance transswitch0057r

Optimal Transmission Switching problem modeled using quadratic functions (rectangular coordinates)
Formats ams gms 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 (LINDO)
0.00000000 (SCIP)
24916.09120000 (SHOT)
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 14 Mar 2014
Problem type MBNLP
#Variables 518
#Binary Variables 78
#Integer Variables 0
#Nonlinear Variables 511
#Nonlinear Binary Variables 78
#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 270
#Polynomial Constraints 312
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 2767
#Nonlinear Nonzeros in Jacobian 2100
#Nonzeros in (Upper-Left) Hessian of Lagrangian 1681
#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 192
Average blocksize in Hessian of Lagrangian 1.596875
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 6.1300e-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
*        519      441       78        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       2775      668     2107        0
*
*  Solve m using MINLP 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,b427,b428
          ,b429,b430,b431,b432,b433,b434,b435,b436,b437,b438,b439,b440,b441
          ,b442,b443,b444,b445,b446,b447,b448,b449,b450,b451,b452,b453,b454
          ,b455,b456,b457,b458,b459,b460,b461,b462,b463,b464,b465,b466,b467
          ,b468,b469,b470,b471,b472,b473,b474,b475,b476,b477,b478,b479,b480
          ,b481,b482,b483,b484,b485,b486,b487,b488,b489,b490,b491,b492,b493
          ,b494,b495,b496,b497,b498,b499,b500,b501,b502,b503,b504,x505,x506
          ,x507,x508,x509,x510,x511,x512,x513,x514,x515,x516,x517,x518,objvar;

Binary Variables  b427,b428,b429,b430,b431,b432,b433,b434,b435,b436,b437,b438
          ,b439,b440,b441,b442,b443,b444,b445,b446,b447,b448,b449,b450,b451
          ,b452,b453,b454,b455,b456,b457,b458,b459,b460,b461,b462,b463,b464
          ,b465,b466,b467,b468,b469,b470,b471,b472,b473,b474,b475,b476,b477
          ,b478,b479,b480,b481,b482,b483,b484,b485,b486,b487,b488,b489,b490
          ,b491,b492,b493,b494,b495,b496,b497,b498,b499,b500,b501,b502,b503
          ,b504;

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(x505) + 2000*x505 + 100*sqr(x506) + 4000*x506 + 2500*sqr(x507)
      + 2000*x507 + 100*sqr(x508) + 4000*x508 + 222.222*sqr(x509) + 2000*x509
      + 100*sqr(x510) + 4000*x510 + 322.581*sqr(x511) + 2000*x511 - objvar
      =E= 0;

e2.. -(1.94596433161849*(sqr(x313) + sqr(x370)) - 1.94596433161849*(x313*x329
      + x370*x386) + 8.83042637877296*(x313*x386 - x329*x370))*b427 + x1 =E= 0;

e3.. -(1.94596433161849*(sqr(x329) + sqr(x386)) - 1.94596433161849*(x329*x313
      + x386*x370) + 8.83042637877296*(x329*x370 - x313*x386))*b427 + x2 =E= 0;

e4.. -(4.83585268579998*(sqr(x324) + sqr(x381)) - 4.83585268579998*(x324*x325
      + x381*x382) + 15.7572727964269*(x324*x382 - x325*x381))*b428 + x3 =E= 0;

e5.. -(4.83585268579998*(sqr(x325) + sqr(x382)) - 4.83585268579998*(x325*x324
      + x382*x381) + 15.7572727964269*(x325*x381 - x324*x382))*b428 + x4 =E= 0;

e6.. -8.29875518672199*(x321*x424 - x367*x378)*b429 + x5 =E= 0;

e7.. -8.29875518672199*(x367*x378 - x321*x424)*b429 + x6 =E= 0;

e8.. -(3.22991397248362*(sqr(x356) + sqr(x413)) - 3.22991397248362*(x356*x357
      + x413*x414) + 6.4287710798472*(x356*x414 - x357*x413))*b430 + x7 =E= 0;

e9.. -(3.22991397248362*(sqr(x357) + sqr(x414)) - 3.22991397248362*(x357*x356
      + x414*x413) + 6.4287710798472*(x357*x413 - x356*x414))*b430 + x8 =E= 0;

e10.. -15.4320987654321*(x319*x398 - x341*x376)*b431 + x9 =E= 0;

e11.. -15.4320987654321*(x341*x376 - x319*x398)*b431 + x10 =E= 0;

e12.. -(3.67309910958161*(sqr(x314) + sqr(x371)) - 3.67309910958161*(x314*x315
       + x371*x372) + 10.4769605474643*(x314*x372 - x315*x371))*b432 + x11
       =E= 0;

e13.. -(3.67309910958161*(sqr(x315) + sqr(x372)) - 3.67309910958161*(x315*x314
       + x372*x371) + 10.4769605474643*(x315*x371 - x314*x372))*b432 + x12
       =E= 0;

e14.. -21.1416490486258*(x336*x395 - x338*x393)*b433 + x13 =E= 0;

e15.. -21.1416490486258*(x338*x393 - x336*x395)*b433 + x14 =E= 0;

e16.. -(1.85116623472788*(sqr(x318) + sqr(x375)) - 1.85116623472788*(x318*x319
       + x375*x376) + 9.44094779711218*(x318*x376 - x319*x375))*b434 + x15
       =E= 0;

e17.. -(1.85116623472788*(sqr(x319) + sqr(x376)) - 1.85116623472788*(x319*x318
       + x376*x375) + 9.44094779711218*(x319*x375 - x318*x376))*b434 + x16
       =E= 0;

e18.. -(2.58596077947529*(sqr(x341) + sqr(x398)) - 2.58596077947529*(x341*x364
       + x398*x421) + 3.35349976256504*(x341*x421 - x364*x398))*b435 + x17
       =E= 0;

e19.. -(2.58596077947529*(sqr(x364) + sqr(x421)) - 2.58596077947529*(x364*x341
       + x421*x398) + 3.35349976256504*(x364*x398 - x341*x421))*b435 + x18
       =E= 0;

e20.. -(5.27439897898054*(sqr(x315) + sqr(x372)) - 5.27439897898054*(x315*x327
       + x372*x384) + 17.2557497460475*(x315*x384 - x327*x372))*b436 + x19
       =E= 0;

e21.. -(5.27439897898054*(sqr(x327) + sqr(x384)) - 5.27439897898054*(x327*x315
       + x384*x372) + 17.2557497460475*(x327*x372 - x315*x384))*b436 + x20
       =E= 0;

e22.. -0.738007380073801*(x351*x426 - x369*x408)*b437 + x21 =E= 0;

e23.. -0.738007380073801*(x369*x408 - x351*x426)*b437 + x22 =E= 0;

e24.. -(4.46341936735882*(sqr(x358) + sqr(x415)) - 4.46341936735882*(x358*x359
       + x415*x416) + 13.1961963904522*(x358*x416 - x359*x415))*b438 + x23
       =E= 0;

e25.. -(4.46341936735882*(sqr(x359) + sqr(x416)) - 4.46341936735882*(x359*x358
       + x416*x415) + 13.1961963904522*(x359*x415 - x358*x416))*b438 + x24
       =E= 0;

e26.. -2.42718446601942*(x353*x412 - x355*x410)*b439 + x25 =E= 0;

e27.. -2.42718446601942*(x355*x410 - x353*x412)*b439 + x26 =E= 0;

e28.. -(1.79854154630972*(sqr(x338) + sqr(x395)) - 1.79854154630972*(x338*x339
       + x395*x396) + 2.76866395613739*(x338*x396 - x339*x395))*b440 + x27
       =E= 0;

e29.. -(1.79854154630972*(sqr(x339) + sqr(x396)) - 1.79854154630972*(x339*x338
       + x396*x395) + 2.76866395613739*(x339*x395 - x338*x396))*b440 + x28
       =E= 0;

e30.. -(3.53441349078001*(sqr(x360) + sqr(x417)) - 3.53441349078001*(x360*x361
       + x417*x418) + 5.46689856487556*(x360*x418 - x361*x417))*b441 + x29
       =E= 0;

e31.. -(3.53441349078001*(sqr(x361) + sqr(x418)) - 3.53441349078001*(x361*x360
       + x418*x417) + 5.46689856487556*(x361*x417 - x360*x418))*b441 + x30
       =E= 0;

e32.. -(4.78313364911303*(sqr(x339) + sqr(x396)) - 4.78313364911303*(x339*x340
       + x396*x397) + 7.38367233212594*(x339*x397 - x340*x396))*b442 + x31
       =E= 0;

e33.. -(4.78313364911303*(sqr(x340) + sqr(x397)) - 4.78313364911303*(x340*x339
       + x397*x396) + 7.38367233212594*(x340*x396 - x339*x397))*b442 + x32
       =E= 0;

e34.. -(1.77775961420573*(sqr(x369) + sqr(x426)) - 1.77775961420573*(x369*x368
       + x426*x425) + 2.65642241203155*(x369*x425 - x368*x426))*b443 + x33
       =E= 0;

e35.. -(1.77775961420573*(sqr(x368) + sqr(x425)) - 1.77775961420573*(x368*x369
       + x425*x426) + 2.65642241203155*(x368*x426 - x369*x425))*b443 + x34
       =E= 0;

e36.. -(9.73161837986141*(sqr(x313) + sqr(x370)) - 9.73161837986141*(x313*x314
       + x370*x371) + 32.8295559802554*(x313*x371 - x314*x370))*b444 + x35
       =E= 0;

e37.. -(9.73161837986141*(sqr(x314) + sqr(x371)) - 9.73161837986141*(x314*x313
       + x371*x370) + 32.8295559802554*(x314*x370 - x313*x371))*b444 + x36
       =E= 0;

e38.. -(3.28382981106523*(sqr(x321) + sqr(x378)) - 3.28382981106523*(x321*x323
       + x378*x380) + 10.7933630999353*(x321*x380 - x323*x378))*b445 + x37
       =E= 0;

e39.. -(3.28382981106523*(sqr(x323) + sqr(x380)) - 3.28382981106523*(x323*x321
       + x380*x378) + 10.7933630999353*(x323*x378 - x321*x380))*b445 + x38
       =E= 0;

e40.. -(5.91715976331361*(sqr(x346) + sqr(x403)) - 5.91715976331361*(x346*x347
       + x403*x404) + 8.87573964497041*(x346*x404 - x347*x403))*b446 + x39
       =E= 0;

e41.. -(5.91715976331361*(sqr(x347) + sqr(x404)) - 5.91715976331361*(x347*x346
       + x404*x403) + 8.87573964497041*(x347*x403 - x346*x404))*b446 + x40
       =E= 0;

e42.. -(7.64505119453925*(sqr(x315) + sqr(x372)) - 7.64505119453925*(x315*x316
       + x372*x373) + 24.9829351535836*(x315*x373 - x316*x372))*b447 + x41
       =E= 0;

e43.. -(7.64505119453925*(sqr(x316) + sqr(x373)) - 7.64505119453925*(x316*x315
       + x373*x372) + 24.9829351535836*(x316*x372 - x315*x373))*b447 + x42
       =E= 0;

e44.. -(1.02028983422762*(sqr(x313) + sqr(x370)) - 1.02028983422762*(x313*x328
       + x370*x385) + 4.62950893944692*(x313*x385 - x328*x370))*b448 + x43
       =E= 0;

e45.. -(1.02028983422762*(sqr(x328) + sqr(x385)) - 1.02028983422762*(x328*x313
       + x385*x370) + 4.62950893944692*(x328*x370 - x313*x385))*b448 + x44
       =E= 0;

e46.. -1.65903181874417*(x336*x394 - x337*x393)*b449 + x45 =E= 0;

e47.. -1.65903181874417*(x337*x393 - x336*x394)*b449 + x46 =E= 0;

e48.. -(11.9046433089927*(sqr(x349) + sqr(x406)) - 11.9046433089927*(x349*x351
       + x406*x408) + 18.8780745360178*(x349*x408 - x351*x406))*b450 + x47
       =E= 0;

e49.. -(11.9046433089927*(sqr(x351) + sqr(x408)) - 11.9046433089927*(x351*x349
       + x408*x406) + 18.8780745360178*(x351*x406 - x349*x408))*b450 + x48
       =E= 0;

e50.. -(2.9301109926044*(sqr(x316) + sqr(x373)) - 2.9301109926044*(x316*x317 + 
      x373*x374) + 6.18839441638049*(x316*x374 - x317*x373))*b451 + x49 =E= 0;

e51.. -(2.9301109926044*(sqr(x317) + sqr(x374)) - 2.9301109926044*(x317*x316 + 
      x374*x373) + 6.18839441638049*(x317*x373 - x316*x374))*b451 + x50 =E= 0;

e52.. -(2.287011468939*(sqr(x337) + sqr(x394)) - 2.287011468939*(x337*x342 + 
      x394*x399) + 3.42204679056057*(x337*x399 - x342*x394))*b452 + x51 =E= 0;

e53.. -(2.287011468939*(sqr(x342) + sqr(x399)) - 2.287011468939*(x342*x337 + 
      x399*x394) + 3.42204679056057*(x342*x394 - x337*x399))*b452 + x52 =E= 0;

e54.. -(1.78318222833326*(sqr(x335) + sqr(x392)) - 1.78318222833326*(x335*x336
       + x392*x393) + 2.74996777381515*(x335*x393 - x336*x392))*b453 + x53
       =E= 0;

e55.. -(1.78318222833326*(sqr(x336) + sqr(x393)) - 1.78318222833326*(x336*x335
       + x393*x392) + 2.74996777381515*(x336*x392 - x335*x393))*b453 + x54
       =E= 0;

e56.. -(13.8386805241753*(sqr(x344) + sqr(x401)) - 13.8386805241753*(x344*x345
       + x401*x402) + 12.7089923181202*(x344*x402 - x345*x401))*b454 + x55
       =E= 0;

e57.. -(13.8386805241753*(sqr(x345) + sqr(x402)) - 13.8386805241753*(x345*x344
       + x402*x401) + 12.7089923181202*(x345*x401 - x344*x402))*b454 + x56
       =E= 0;

e58.. -(8.0494056341988*(sqr(x340) + sqr(x397)) - 8.0494056341988*(x340*x341 + 
      x397*x398) + 11.3038304001787*(x340*x398 - x341*x397))*b455 + x57 =E= 0;

e59.. -(8.0494056341988*(sqr(x341) + sqr(x398)) - 8.0494056341988*(x341*x340 + 
      x398*x397) + 11.3038304001787*(x341*x397 - x340*x398))*b455 + x58 =E= 0;

e60.. -(1.24653719300355*(sqr(x368) + sqr(x425)) - 1.24653719300355*(x368*x354
       + x425*x411) + 2.07658431210945*(x368*x411 - x354*x425))*b456 + x59
       =E= 0;

e61.. -(1.24653719300355*(sqr(x354) + sqr(x411)) - 1.24653719300355*(x354*x368
       + x411*x425) + 2.07658431210945*(x354*x425 - x368*x411))*b456 + x60
       =E= 0;

e62.. -(3.73830364088118*(sqr(x320) + sqr(x377)) - 3.73830364088118*(x320*x321
       + x377*x378) + 19.0691246327777*(x320*x378 - x321*x377))*b457 + x61
       =E= 0;

e63.. -(3.73830364088118*(sqr(x321) + sqr(x378)) - 3.73830364088118*(x321*x320
       + x378*x377) + 19.0691246327777*(x321*x377 - x320*x378))*b457 + x62
       =E= 0;

e64.. -(15.4977439482117*(sqr(x334) + sqr(x391)) - 15.4977439482117*(x334*x350
       + x391*x407) + 23.8116378370961*(x334*x407 - x350*x391))*b458 + x63
       =E= 0;

e65.. -(15.4977439482117*(sqr(x350) + sqr(x407)) - 15.4977439482117*(x350*x334
       + x407*x391) + 23.8116378370961*(x350*x391 - x334*x407))*b458 + x64
       =E= 0;

e66.. -1.28749839062701*(x333*x389 - x332*x390)*b459 + x65 =E= 0;

e67.. -1.28749839062701*(x332*x390 - x333*x389)*b459 + x66 =E= 0;

e68.. -9.59692898272553*(x327*x414 - x357*x384)*b460 + x67 =E= 0;

e69.. -9.59692898272553*(x357*x384 - x327*x414)*b460 + x68 =E= 0;

e70.. -(4.91962037575053*(sqr(x364) + sqr(x421)) - 4.91962037575053*(x364*x365
       + x421*x422) + 6.3528956033314*(x364*x422 - x365*x421))*b461 + x69 =E= 0
      ;

e71.. -(4.91962037575053*(sqr(x365) + sqr(x422)) - 4.91962037575053*(x365*x364
       + x422*x421) + 6.3528956033314*(x365*x421 - x364*x422))*b461 + x70 =E= 0
      ;

e72.. -1.04931794333683*(x346*x401 - x344*x403)*b462 + x71 =E= 0;

e73.. -1.04931794333683*(x344*x403 - x346*x401)*b462 + x72 =E= 0;

e74.. -(1.2486456086589*(sqr(x321) + sqr(x378)) - 1.2486456086589*(x321*x322 + 
      x378*x379) + 5.6815067125699*(x321*x379 - x322*x378))*b463 + x73 =E= 0;

e75.. -(1.2486456086589*(sqr(x322) + sqr(x379)) - 1.2486456086589*(x322*x321 + 
      x379*x378) + 5.6815067125699*(x322*x378 - x321*x379))*b463 + x74 =E= 0;

e76.. -(0.910722814182902*(sqr(x368) + sqr(x425)) - 0.910722814182902*(x368*
      x353 + x425*x410) + 0.904135307389536*(x368*x410 - x353*x425))*b464 + x75
       =E= 0;

e77.. -(0.910722814182902*(sqr(x353) + sqr(x410)) - 0.910722814182902*(x353*
      x368 + x410*x425) + 0.904135307389536*(x353*x425 - x368*x410))*b464 + x76
       =E= 0;

e78.. -(3.25066886439273*(sqr(x325) + sqr(x382)) - 3.25066886439273*(x325*x327
       + x382*x384) + 10.5012313872018*(x325*x384 - x327*x382))*b465 + x77
       =E= 0;

e79.. -(3.25066886439273*(sqr(x327) + sqr(x384)) - 3.25066886439273*(x327*x325
       + x384*x382) + 10.5012313872018*(x327*x382 - x325*x384))*b465 + x78
       =E= 0;

e80.. -(0.613004398639058*(sqr(x343) + sqr(x400)) - 0.613004398639058*(x343*
      x344 + x400*x401) + 0.912856648860924*(x343*x401 - x344*x400))*b466 + x79
       =E= 0;

e81.. -(0.613004398639058*(sqr(x344) + sqr(x401)) - 0.613004398639058*(x344*
      x343 + x401*x400) + 0.912856648860924*(x344*x400 - x343*x401))*b466 + x80
       =E= 0;

e82.. -(1.09079641330694*(sqr(x318) + sqr(x375)) - 1.09079641330694*(x318*x320
       + x375*x377) + 5.56660116525373*(x318*x377 - x320*x375))*b467 + x81
       =E= 0;

e83.. -(1.09079641330694*(sqr(x320) + sqr(x377)) - 1.09079641330694*(x320*x318
       + x377*x375) + 5.56660116525373*(x320*x375 - x318*x377))*b467 + x82
       =E= 0;

e84.. -13.6054421768707*(x326*x415 - x358*x383)*b468 + x83 =E= 0;

e85.. -13.6054421768707*(x358*x383 - x326*x415)*b468 + x84 =E= 0;

e86.. -(2.58113749607218*(sqr(x350) + sqr(x407)) - 2.58113749607218*(x350*x361
       + x407*x418) + 3.97270727656327*(x350*x418 - x361*x407))*b469 + x85
       =E= 0;

e87.. -(2.58113749607218*(sqr(x361) + sqr(x418)) - 2.58113749607218*(x361*x350
       + x418*x407) + 3.97270727656327*(x361*x407 - x350*x418))*b469 + x86
       =E= 0;

e88.. -(1.659305619535*(sqr(x322) + sqr(x379)) - 1.659305619535*(x322*x324 + 
      x379*x381) + 7.55972451932552*(x322*x381 - x324*x379))*b470 + x87 =E= 0;

e89.. -(1.659305619535*(sqr(x324) + sqr(x381)) - 1.659305619535*(x324*x322 + 
      x381*x379) + 7.55972451932552*(x324*x379 - x322*x381))*b470 + x88 =E= 0;

e90.. -(9.46406687940595*(sqr(x350) + sqr(x407)) - 9.46406687940595*(x350*x360
       + x407*x417) + 14.6207699867746*(x350*x417 - x360*x407))*b471 + x89
       =E= 0;

e91.. -(9.46406687940595*(sqr(x360) + sqr(x417)) - 9.46406687940595*(x360*x350
       + x417*x407) + 14.6207699867746*(x360*x407 - x350*x417))*b471 + x90
       =E= 0;

e92.. -(2.07028742102668*(sqr(x313) + sqr(x370)) - 2.07028742102668*(x313*x327
       + x370*x384) + 10.5840536692937*(x313*x384 - x327*x370))*b472 + x91
       =E= 0;

e93.. -(2.07028742102668*(sqr(x327) + sqr(x384)) - 2.07028742102668*(x327*x313
       + x384*x370) + 10.5840536692937*(x327*x370 - x313*x384))*b472 + x92
       =E= 0;

e94.. -(3.85220109327142*(sqr(x333) + sqr(x390)) - 3.85220109327142*(x333*x334
       + x390*x391) + 6.12374358577114*(x333*x391 - x334*x390))*b473 + x93
       =E= 0;

e95.. -(3.85220109327142*(sqr(x334) + sqr(x391)) - 3.85220109327142*(x334*x333
       + x391*x390) + 6.12374358577114*(x334*x390 - x333*x391))*b473 + x94
       =E= 0;

e96.. -(1.81029764661306*(sqr(x316) + sqr(x373)) - 1.81029764661306*(x316*x318
       + x373*x375) + 6.23079189997053*(x316*x375 - x318*x373))*b474 + x95
       =E= 0;

e97.. -(1.81029764661306*(sqr(x318) + sqr(x375)) - 1.81029764661306*(x318*x316
       + x375*x373) + 6.23079189997053*(x318*x373 - x316*x375))*b474 + x96
       =E= 0;

e98.. -(6.01491779280401*(sqr(x317) + sqr(x374)) - 6.01491779280401*(x317*x318
       + x374*x375) + 12.7667625999582*(x317*x375 - x318*x374))*b475 + x97
       =E= 0;

e99.. -(6.01491779280401*(sqr(x318) + sqr(x375)) - 6.01491779280401*(x318*x317
       + x375*x374) + 12.7667625999582*(x318*x374 - x317*x375))*b475 + x98
       =E= 0;

e100.. -(9.08574193534755*(sqr(x347) + sqr(x404)) - 9.08574193534755*(x347*x348
        + x404*x405) + 11.3466126029805*(x347*x405 - x348*x404))*b476 + x99
        =E= 0;

e101.. -(9.08574193534755*(sqr(x348) + sqr(x405)) - 9.08574193534755*(x348*x347
        + x405*x404) + 11.3466126029805*(x348*x404 - x347*x405))*b476 + x100
        =E= 0;

e102.. -(2.04999381747896*(sqr(x362) + sqr(x419)) - 2.04999381747896*(x362*x363
        + x419*x420) + 3.2539584404428*(x362*x420 - x363*x419))*b477 + x101
        =E= 0;

e103.. -(2.04999381747896*(sqr(x363) + sqr(x420)) - 2.04999381747896*(x363*x362
        + x420*x419) + 3.2539584404428*(x363*x419 - x362*x420))*b477 + x102
        =E= 0;

e104.. -4.1273831971573*(x316*x387 - x330*x373)*b478 + x103 =E= 0;

e105.. -4.1273831971573*(x330*x373 - x316*x387)*b478 + x104 =E= 0;

e106.. -(1.76335096806502*(sqr(x321) + sqr(x378)) - 1.76335096806502*(x321*x325
        + x378*x382) + 5.79229631921565*(x321*x382 - x325*x378))*b479 + x105
        =E= 0;

e107.. -(1.76335096806502*(sqr(x325) + sqr(x382)) - 1.76335096806502*(x325*x321
        + x382*x378) + 5.79229631921565*(x325*x378 - x321*x382))*b479 + x106
        =E= 0;

e108.. -14.0449438202247*(x322*x420 - x363*x379)*b480 + x107 =E= 0;

e109.. -14.0449438202247*(x363*x379 - x322*x420)*b480 + x108 =E= 0;

e110.. -(2.59602030087875*(sqr(x324) + sqr(x381)) - 2.59602030087875*(x324*x328
        + x381*x385) + 11.725358358969*(x324*x385 - x328*x381))*b481 + x109
        =E= 0;

e111.. -(2.59602030087875*(sqr(x328) + sqr(x385)) - 2.59602030087875*(x328*x324
        + x385*x381) + 11.725358358969*(x328*x381 - x324*x385))*b481 + x110
        =E= 0;

e112.. -(6.41461755272621*(sqr(x325) + sqr(x382)) - 6.41461755272621*(x325*x326
        + x382*x383) + 21.0904849839635*(x325*x383 - x326*x382))*b482 + x111
        =E= 0;

e113.. -(6.41461755272621*(sqr(x326) + sqr(x383)) - 6.41461755272621*(x326*x325
        + x383*x382) + 21.0904849839635*(x326*x382 - x325*x383))*b482 + x112
        =E= 0;

e114.. -(20.8207017262879*(sqr(x359) + sqr(x416)) - 20.8207017262879*(x359*x360
        + x416*x417) + 26.6550741880498*(x359*x417 - x360*x416))*b483 + x113
        =E= 0;

e115.. -(20.8207017262879*(sqr(x360) + sqr(x417)) - 20.8207017262879*(x360*x359
        + x417*x416) + 26.6550741880498*(x360*x416 - x359*x417))*b483 + x114
        =E= 0;

e116.. -(0.922767737096112*(sqr(x342) + sqr(x399)) - 0.922767737096112*(x342*
       x343 + x399*x400) + 1.40679621268947*(x342*x400 - x343*x399))*b484
        + x115 =E= 0;

e117.. -(0.922767737096112*(sqr(x343) + sqr(x400)) - 0.922767737096112*(x343*
       x342 + x400*x399) + 1.40679621268947*(x343*x399 - x342*x400))*b484
        + x116 =E= 0;

e118.. -(1.24135697708587*(sqr(x353) + sqr(x410)) - 1.24135697708587*(x353*x354
        + x410*x411) + 2.11090655040689*(x353*x411 - x354*x410))*b485 + x117
        =E= 0;

e119.. -(1.24135697708587*(sqr(x354) + sqr(x411)) - 1.24135697708587*(x354*x353
        + x411*x410) + 2.11090655040689*(x354*x410 - x353*x411))*b485 + x118
        =E= 0;

e120.. -(2.64125488109603*(sqr(x319) + sqr(x376)) - 2.64125488109603*(x319*x320
        + x376*x377) + 13.5293055779883*(x319*x377 - x320*x376))*b486 + x119
        =E= 0;

e121.. -(2.64125488109603*(sqr(x320) + sqr(x377)) - 2.64125488109603*(x320*x319
        + x377*x376) + 13.5293055779883*(x320*x376 - x319*x377))*b486 + x120
        =E= 0;

e122.. -(30.0866129767513*(sqr(x334) + sqr(x391)) - 30.0866129767513*(x334*x335
        + x391*x392) + 46.1935876006686*(x334*x392 - x335*x391))*b487 + x121
        =E= 0;

e123.. -(30.0866129767513*(sqr(x335) + sqr(x392)) - 30.0866129767513*(x335*x334
        + x392*x391) + 46.1935876006686*(x335*x391 - x334*x392))*b487 + x122
        =E= 0;

e124.. -1.33511348464619*(x323*x410 - x353*x380)*b488 + x123 =E= 0;

e125.. -1.33511348464619*(x353*x380 - x323*x410)*b488 + x124 =E= 0;

e126.. -(5.20627188308723*(sqr(x326) + sqr(x383)) - 5.20627188308723*(x326*x327
        + x383*x384) + 16.6539808189983*(x326*x384 - x327*x383))*b489 + x125
        =E= 0;

e127.. -(5.20627188308723*(sqr(x327) + sqr(x384)) - 5.20627188308723*(x327*x326
        + x384*x383) + 16.6539808189983*(x327*x383 - x326*x384))*b489 + x126
        =E= 0;

e128.. -(3.51315635387879*(sqr(x361) + sqr(x418)) - 3.51315635387879*(x361*x362
        + x418*x419) + 5.61403262542429*(x361*x419 - x362*x418))*b490 + x127
        =E= 0;

e129.. -(3.51315635387879*(sqr(x362) + sqr(x419)) - 3.51315635387879*(x362*x361
        + x419*x418) + 5.61403262542429*(x362*x418 - x361*x419))*b490 + x128
        =E= 0;

e130.. -6.5359477124183*(x323*x412 - x355*x380)*b491 + x129 =E= 0;

e131.. -6.5359477124183*(x355*x380 - x323*x412)*b491 + x130 =E= 0;

e132.. -(0.676204920894292*(sqr(x330) + sqr(x387)) - 0.676204920894292*(x330*
       x331 + x387*x388) + 1.00477303863902*(x330*x388 - x331*x387))*b492
        + x131 =E= 0;

e133.. -(0.676204920894292*(sqr(x331) + sqr(x388)) - 0.676204920894292*(x331*
       x330 + x388*x387) + 1.00477303863902*(x331*x387 - x330*x388))*b492
        + x132 =E= 0;

e134.. -(3.80836576706122*(sqr(x323) + sqr(x380)) - 3.80836576706122*(x323*x325
        + x380*x382) + 12.5010033250619*(x323*x382 - x325*x380))*b493 + x133
        =E= 0;

e135.. -(3.80836576706122*(sqr(x325) + sqr(x382)) - 3.80836576706122*(x325*x323
        + x382*x380) + 12.5010033250619*(x325*x380 - x323*x382))*b493 + x134
        =E= 0;

e136.. -(9.76702392269726*(sqr(x348) + sqr(x405)) - 9.76702392269726*(x348*x352
        + x405*x409) + 15.1714438265897*(x348*x409 - x352*x405))*b494 + x135
        =E= 0;

e137.. -(9.76702392269726*(sqr(x352) + sqr(x409)) - 9.76702392269726*(x352*x348
        + x409*x405) + 15.1714438265897*(x352*x405 - x348*x409))*b494 + x136
        =E= 0;

e138.. -(0.710339072902274*(sqr(x321) + sqr(x378)) - 0.710339072902274*(x321*
       x324 + x378*x381) + 3.23379670534214*(x321*x381 - x324*x378))*b495
        + x137 =E= 0;

e139.. -(0.710339072902274*(sqr(x324) + sqr(x381)) - 0.710339072902274*(x324*
       x321 + x381*x378) + 3.23379670534214*(x324*x378 - x321*x381))*b495
        + x138 =E= 0;

e140.. -(4.51493256729746*(sqr(x349) + sqr(x406)) - 4.51493256729746*(x349*x350
        + x406*x407) + 6.99779871029668*(x349*x407 - x350*x406))*b496 + x139
        =E= 0;

e141.. -(4.51493256729746*(sqr(x350) + sqr(x407)) - 4.51493256729746*(x350*x349
        + x407*x406) + 6.99779871029668*(x350*x406 - x349*x407))*b496 + x140
        =E= 0;

e142.. -(1.18094695287427*(sqr(x324) + sqr(x381)) - 1.18094695287427*(x324*x329
        + x381*x386) + 5.32467265905526*(x324*x386 - x329*x381))*b497 + x141
        =E= 0;

e143.. -(1.18094695287427*(sqr(x329) + sqr(x386)) - 1.18094695287427*(x329*x324
        + x386*x381) + 5.32467265905526*(x329*x381 - x324*x386))*b497 + x142
        =E= 0;

e144.. -(13.2993359503981*(sqr(x348) + sqr(x405)) - 13.2993359503981*(x348*x349
        + x405*x406) + 16.7846791649851*(x348*x406 - x349*x405))*b498 + x143
        =E= 0;

e145.. -(13.2993359503981*(sqr(x349) + sqr(x406)) - 13.2993359503981*(x349*x348
        + x406*x405) + 16.7846791649851*(x349*x405 - x348*x406))*b498 + x144
        =E= 0;

e146.. -(2.1079134978748*(sqr(x365) + sqr(x422)) - 2.1079134978748*(x365*x366
        + x422*x423) + 2.60402519439273*(x365*x423 - x366*x422))*b499 + x145
        =E= 0;

e147.. -(2.1079134978748*(sqr(x366) + sqr(x423)) - 2.1079134978748*(x366*x365
        + x423*x422) + 2.60402519439273*(x366*x422 - x365*x423))*b499 + x146
        =E= 0;

e148.. -0.836820083682008*(x352*x425 - x368*x409)*b500 + x147 =E= 0;

e149.. -0.836820083682008*(x368*x409 - x352*x425)*b500 + x148 =E= 0;

e150.. -(1.05421967255862*(sqr(x331) + sqr(x388)) - 1.05421967255862*(x331*x332
        + x388*x389) + 1.6167185084468*(x331*x389 - x332*x388))*b501 + x149
        =E= 0;

e151.. -(1.05421967255862*(sqr(x332) + sqr(x389)) - 1.05421967255862*(x332*x331
        + x389*x388) + 1.6167185084468*(x332*x388 - x331*x389))*b501 + x150
        =E= 0;

e152.. -5.23560209424084*(x325*x418 - x361*x382)*b502 + x151 =E= 0;

e153.. -5.23560209424084*(x361*x382 - x325*x418)*b502 + x152 =E= 0;

e154.. -(6.78808491447952*(sqr(x350) + sqr(x407)) - 6.78808491447952*(x350*x356
        + x407*x413) + 13.7405871106246*(x350*x413 - x356*x407))*b503 + x153
        =E= 0;

e155.. -(6.78808491447952*(sqr(x356) + sqr(x413)) - 6.78808491447952*(x356*x350
        + x413*x407) + 13.7405871106246*(x356*x407 - x350*x413))*b503 + x154
        =E= 0;

e156.. -(2.13036846395391*(sqr(x366) + sqr(x423)) - 2.13036846395391*(x366*x367
        + x423*x424) + 2.78596106862333*(x366*x424 - x367*x423))*b504 + x155
        =E= 0;

e157.. -(2.13036846395391*(sqr(x367) + sqr(x424)) - 2.13036846395391*(x367*x366
        + x424*x423) + 2.78596106862333*(x367*x423 - x366*x424))*b504 + x156
        =E= 0;

e158.. -(8.81612637877296*(sqr(x313) + sqr(x370)) - 8.83042637877296*(x313*x329
        + x370*x386) - 1.94596433161849*(x313*x386 - x329*x370))*b427 + x157
        =E= 0;

e159.. -(8.81612637877296*(sqr(x329) + sqr(x386)) - 8.83042637877296*(x329*x313
        + x386*x370) - 1.94596433161849*(x329*x370 - x313*x386))*b427 + x158
        =E= 0;

e160.. -(15.7270727964269*(sqr(x324) + sqr(x381)) - 15.7572727964269*(x324*x325
        + x381*x382) - 4.83585268579998*(x324*x382 - x325*x381))*b428 + x159
        =E= 0;

e161.. -(15.7270727964269*(sqr(x325) + sqr(x382)) - 15.7572727964269*(x325*x324
        + x382*x381) - 4.83585268579998*(x325*x381 - x324*x382))*b428 + x160
        =E= 0;

e162.. -(8.29875518672199*(sqr(x321) + sqr(x378)) - 8.29875518672199*(x321*x367
        + x378*x424))*b429 + x161 =E= 0;

e163.. -(8.29875518672199*(sqr(x367) + sqr(x424)) - 8.29875518672199*(x367*x321
        + x424*x378))*b429 + x162 =E= 0;

e164.. -(6.4267710798472*(sqr(x356) + sqr(x413)) - 6.4287710798472*(x356*x357
        + x413*x414) - 3.22991397248362*(x356*x414 - x357*x413))*b430 + x163
        =E= 0;

e165.. -(6.4267710798472*(sqr(x357) + sqr(x414)) - 6.4287710798472*(x357*x356
        + x414*x413) - 3.22991397248362*(x357*x413 - x356*x414))*b430 + x164
        =E= 0;

e166.. -(15.4320987654321*(sqr(x319) + sqr(x376)) - 15.4320987654321*(x319*x341
        + x376*x398))*b431 + x165 =E= 0;

e167.. -(15.4320987654321*(sqr(x341) + sqr(x398)) - 15.4320987654321*(x341*x319
        + x398*x376))*b431 + x166 =E= 0;

e168.. -(10.4360605474643*(sqr(x314) + sqr(x371)) - 10.4769605474643*(x314*x315
        + x371*x372) - 3.67309910958161*(x314*x372 - x315*x371))*b432 + x167
        =E= 0;

e169.. -(10.4360605474643*(sqr(x315) + sqr(x372)) - 10.4769605474643*(x315*x314
        + x372*x371) - 3.67309910958161*(x315*x371 - x314*x372))*b432 + x168
        =E= 0;

e170.. -(21.1416490486258*(sqr(x336) + sqr(x393)) - 21.1416490486258*(x336*x338
        + x393*x395))*b433 + x169 =E= 0;

e171.. -(21.1416490486258*(sqr(x338) + sqr(x395)) - 21.1416490486258*(x338*x336
        + x395*x393))*b433 + x170 =E= 0;

e172.. -(9.42714779711218*(sqr(x318) + sqr(x375)) - 9.44094779711218*(x318*x319
        + x375*x376) - 1.85116623472788*(x318*x376 - x319*x375))*b434 + x171
        =E= 0;

e173.. -(9.42714779711218*(sqr(x319) + sqr(x376)) - 9.44094779711218*(x319*x318
        + x376*x375) - 1.85116623472788*(x319*x375 - x318*x376))*b434 + x172
        =E= 0;

e174.. -(3.35349976256504*(sqr(x341) + sqr(x398)) - 3.35349976256504*(x341*x364
        + x398*x421) - 2.58596077947529*(x341*x421 - x364*x398))*b435 + x173
        =E= 0;

e175.. -(3.35349976256504*(sqr(x364) + sqr(x421)) - 3.35349976256504*(x364*x341
        + x421*x398) - 2.58596077947529*(x364*x398 - x341*x421))*b435 + x174
        =E= 0;

e176.. -(17.2285497460475*(sqr(x315) + sqr(x372)) - 17.2557497460475*(x315*x327
        + x372*x384) - 5.27439897898054*(x315*x384 - x327*x372))*b436 + x175
        =E= 0;

e177.. -(17.2285497460475*(sqr(x327) + sqr(x384)) - 17.2557497460475*(x327*x315
        + x384*x372) - 5.27439897898054*(x327*x372 - x315*x384))*b436 + x176
        =E= 0;

e178.. -(0.738007380073801*(sqr(x351) + sqr(x408)) - 0.738007380073801*(x351*
       x369 + x408*x426))*b437 + x177 =E= 0;

e179.. -(0.738007380073801*(sqr(x369) + sqr(x426)) - 0.738007380073801*(x369*
       x351 + x426*x408))*b437 + x178 =E= 0;

e180.. -(13.1945963904522*(sqr(x358) + sqr(x415)) - 13.1961963904522*(x358*x359
        + x415*x416) - 4.46341936735882*(x358*x416 - x359*x415))*b438 + x179
        =E= 0;

e181.. -(13.1945963904522*(sqr(x359) + sqr(x416)) - 13.1961963904522*(x359*x358
        + x416*x415) - 4.46341936735882*(x359*x415 - x358*x416))*b438 + x180
        =E= 0;

e182.. -(2.42718446601942*(sqr(x353) + sqr(x410)) - 2.42718446601942*(x353*x355
        + x410*x412))*b439 + x181 =E= 0;

e183.. -(2.42718446601942*(sqr(x355) + sqr(x412)) - 2.42718446601942*(x355*x353
        + x412*x410))*b439 + x182 =E= 0;

e184.. -(2.76866395613739*(sqr(x338) + sqr(x395)) - 2.76866395613739*(x338*x339
        + x395*x396) - 1.79854154630972*(x338*x396 - x339*x395))*b440 + x183
        =E= 0;

e185.. -(2.76866395613739*(sqr(x339) + sqr(x396)) - 2.76866395613739*(x339*x338
        + x396*x395) - 1.79854154630972*(x339*x395 - x338*x396))*b440 + x184
        =E= 0;

e186.. -(5.46449856487556*(sqr(x360) + sqr(x417)) - 5.46689856487556*(x360*x361
        + x417*x418) - 3.53441349078001*(x360*x418 - x361*x417))*b441 + x185
        =E= 0;

e187.. -(5.46449856487556*(sqr(x361) + sqr(x418)) - 5.46689856487556*(x361*x360
        + x418*x417) - 3.53441349078001*(x361*x417 - x360*x418))*b441 + x186
        =E= 0;

e188.. -(7.38367233212594*(sqr(x339) + sqr(x396)) - 7.38367233212594*(x339*x340
        + x396*x397) - 4.78313364911303*(x339*x397 - x340*x396))*b442 + x187
        =E= 0;

e189.. -(7.38367233212594*(sqr(x340) + sqr(x397)) - 7.38367233212594*(x340*x339
        + x397*x396) - 4.78313364911303*(x340*x396 - x339*x397))*b442 + x188
        =E= 0;

e190.. -(2.65642241203155*(sqr(x369) + sqr(x426)) - 2.65642241203155*(x369*x368
        + x426*x425) - 1.77775961420573*(x369*x425 - x368*x426))*b443 + x189
        =E= 0;

e191.. -(2.65642241203155*(sqr(x368) + sqr(x425)) - 2.65642241203155*(x368*x369
        + x425*x426) - 1.77775961420573*(x368*x426 - x369*x425))*b443 + x190
        =E= 0;

e192.. -(32.7650559802554*(sqr(x313) + sqr(x370)) - 32.8295559802554*(x313*x314
        + x370*x371) - 9.73161837986141*(x313*x371 - x314*x370))*b444 + x191
        =E= 0;

e193.. -(32.7650559802554*(sqr(x314) + sqr(x371)) - 32.8295559802554*(x314*x313
        + x371*x370) - 9.73161837986141*(x314*x370 - x313*x371))*b444 + x192
        =E= 0;

e194.. -(10.7824630999353*(sqr(x321) + sqr(x378)) - 10.7933630999353*(x321*x323
        + x378*x380) - 3.28382981106523*(x321*x380 - x323*x378))*b445 + x193
        =E= 0;

e195.. -(10.7824630999353*(sqr(x323) + sqr(x380)) - 10.7933630999353*(x323*x321
        + x380*x378) - 3.28382981106523*(x323*x378 - x321*x380))*b445 + x194
        =E= 0;

e196.. -(8.87413964497041*(sqr(x346) + sqr(x403)) - 8.87573964497041*(x346*x347
        + x403*x404) - 5.91715976331361*(x346*x404 - x347*x403))*b446 + x195
        =E= 0;

e197.. -(8.87413964497041*(sqr(x347) + sqr(x404)) - 8.87573964497041*(x347*x346
        + x404*x403) - 5.91715976331361*(x347*x403 - x346*x404))*b446 + x196
        =E= 0;

e198.. -(24.9639351535836*(sqr(x315) + sqr(x372)) - 24.9829351535836*(x315*x316
        + x372*x373) - 7.64505119453925*(x315*x373 - x316*x372))*b447 + x197
        =E= 0;

e199.. -(24.9639351535836*(sqr(x316) + sqr(x373)) - 24.9829351535836*(x316*x315
        + x373*x372) - 7.64505119453925*(x316*x372 - x315*x373))*b447 + x198
        =E= 0;

e200.. -(4.60220893944692*(sqr(x313) + sqr(x370)) - 4.62950893944692*(x313*x328
        + x370*x385) - 1.02028983422762*(x313*x385 - x328*x370))*b448 + x199
        =E= 0;

e201.. -(4.60220893944692*(sqr(x328) + sqr(x385)) - 4.62950893944692*(x328*x313
        + x385*x370) - 1.02028983422762*(x328*x370 - x313*x385))*b448 + x200
        =E= 0;

e202.. -(1.65903181874417*(sqr(x336) + sqr(x393)) - 1.65903181874417*(x336*x337
        + x393*x394))*b449 + x201 =E= 0;

e203.. -(1.65903181874417*(sqr(x337) + sqr(x394)) - 1.65903181874417*(x337*x336
        + x394*x393))*b449 + x202 =E= 0;

e204.. -(18.8780745360178*(sqr(x349) + sqr(x406)) - 18.8780745360178*(x349*x351
        + x406*x408) - 11.9046433089927*(x349*x408 - x351*x406))*b450 + x203
        =E= 0;

e205.. -(18.8780745360178*(sqr(x351) + sqr(x408)) - 18.8780745360178*(x351*x349
        + x408*x406) - 11.9046433089927*(x351*x406 - x349*x408))*b450 + x204
        =E= 0;

e206.. -(6.17549441638049*(sqr(x316) + sqr(x373)) - 6.18839441638049*(x316*x317
        + x373*x374) - 2.9301109926044*(x316*x374 - x317*x373))*b451 + x205
        =E= 0;

e207.. -(6.17549441638049*(sqr(x317) + sqr(x374)) - 6.18839441638049*(x317*x316
        + x374*x373) - 2.9301109926044*(x317*x373 - x316*x374))*b451 + x206
        =E= 0;

e208.. -(3.42204679056057*(sqr(x337) + sqr(x394)) - 3.42204679056057*(x337*x342
        + x394*x399) - 2.287011468939*(x337*x399 - x342*x394))*b452 + x207
        =E= 0;

e209.. -(3.42204679056057*(sqr(x342) + sqr(x399)) - 3.42204679056057*(x342*x337
        + x399*x394) - 2.287011468939*(x342*x394 - x337*x399))*b452 + x208
        =E= 0;

e210.. -(2.74576777381515*(sqr(x335) + sqr(x392)) - 2.74996777381515*(x335*x336
        + x392*x393) - 1.78318222833326*(x335*x393 - x336*x392))*b453 + x209
        =E= 0;

e211.. -(2.74576777381515*(sqr(x336) + sqr(x393)) - 2.74996777381515*(x336*x335
        + x393*x392) - 1.78318222833326*(x336*x392 - x335*x393))*b453 + x210
        =E= 0;

e212.. -(12.7089923181202*(sqr(x344) + sqr(x401)) - 12.7089923181202*(x344*x345
        + x401*x402) - 13.8386805241753*(x344*x402 - x345*x401))*b454 + x211
        =E= 0;

e213.. -(12.7089923181202*(sqr(x345) + sqr(x402)) - 12.7089923181202*(x345*x344
        + x402*x401) - 13.8386805241753*(x345*x401 - x344*x402))*b454 + x212
        =E= 0;

e214.. -(11.3038304001787*(sqr(x340) + sqr(x397)) - 11.3038304001787*(x340*x341
        + x397*x398) - 8.0494056341988*(x340*x398 - x341*x397))*b455 + x213
        =E= 0;

e215.. -(11.3038304001787*(sqr(x341) + sqr(x398)) - 11.3038304001787*(x341*x340
        + x398*x397) - 8.0494056341988*(x341*x397 - x340*x398))*b455 + x214
        =E= 0;

e216.. -(2.07658431210945*(sqr(x368) + sqr(x425)) - 2.07658431210945*(x368*x354
        + x425*x411) - 1.24653719300355*(x368*x411 - x354*x425))*b456 + x215
        =E= 0;

e217.. -(2.07658431210945*(sqr(x354) + sqr(x411)) - 2.07658431210945*(x354*x368
        + x411*x425) - 1.24653719300355*(x354*x425 - x368*x411))*b456 + x216
        =E= 0;

e218.. -(19.0417246327777*(sqr(x320) + sqr(x377)) - 19.0691246327777*(x320*x321
        + x377*x378) - 3.73830364088118*(x320*x378 - x321*x377))*b457 + x217
        =E= 0;

e219.. -(19.0417246327777*(sqr(x321) + sqr(x378)) - 19.0691246327777*(x321*x320
        + x378*x377) - 3.73830364088118*(x321*x377 - x320*x378))*b457 + x218
        =E= 0;

e220.. -(23.8116378370961*(sqr(x334) + sqr(x391)) - 23.8116378370961*(x334*x350
        + x391*x407) - 15.4977439482117*(x334*x407 - x350*x391))*b458 + x219
        =E= 0;

e221.. -(23.8116378370961*(sqr(x350) + sqr(x407)) - 23.8116378370961*(x350*x334
        + x407*x391) - 15.4977439482117*(x350*x391 - x334*x407))*b458 + x220
        =E= 0;

e222.. -(1.28749839062701*(sqr(x333) + sqr(x390)) - 1.28749839062701*(x333*x332
        + x390*x389))*b459 + x221 =E= 0;

e223.. -(1.28749839062701*(sqr(x332) + sqr(x389)) - 1.28749839062701*(x332*x333
        + x389*x390))*b459 + x222 =E= 0;

e224.. -(9.59692898272553*(sqr(x327) + sqr(x384)) - 9.59692898272553*(x327*x357
        + x384*x414))*b460 + x223 =E= 0;

e225.. -(9.59692898272553*(sqr(x357) + sqr(x414)) - 9.59692898272553*(x357*x327
        + x414*x384))*b460 + x224 =E= 0;

e226.. -(6.3528956033314*(sqr(x364) + sqr(x421)) - 6.3528956033314*(x364*x365
        + x421*x422) - 4.91962037575053*(x364*x422 - x365*x421))*b461 + x225
        =E= 0;

e227.. -(6.3528956033314*(sqr(x365) + sqr(x422)) - 6.3528956033314*(x365*x364
        + x422*x421) - 4.91962037575053*(x365*x421 - x364*x422))*b461 + x226
        =E= 0;

e228.. -(1.04931794333683*(sqr(x346) + sqr(x403)) - 1.04931794333683*(x346*x344
        + x403*x401))*b462 + x227 =E= 0;

e229.. -(1.04931794333683*(sqr(x344) + sqr(x401)) - 1.04931794333683*(x344*x346
        + x401*x403))*b462 + x228 =E= 0;

e230.. -(5.6595067125699*(sqr(x321) + sqr(x378)) - 5.6815067125699*(x321*x322
        + x378*x379) - 1.2486456086589*(x321*x379 - x322*x378))*b463 + x229
        =E= 0;

e231.. -(5.6595067125699*(sqr(x322) + sqr(x379)) - 5.6815067125699*(x322*x321
        + x379*x378) - 1.2486456086589*(x322*x378 - x321*x379))*b463 + x230
        =E= 0;

e232.. -(0.904135307389536*(sqr(x368) + sqr(x425)) - 0.904135307389536*(x368*
       x353 + x425*x410) - 0.910722814182902*(x368*x410 - x353*x425))*b464
        + x231 =E= 0;

e233.. -(0.904135307389536*(sqr(x353) + sqr(x410)) - 0.904135307389536*(x353*
       x368 + x410*x425) - 0.910722814182902*(x353*x425 - x368*x410))*b464
        + x232 =E= 0;

e234.. -(10.4897313872018*(sqr(x325) + sqr(x382)) - 10.5012313872018*(x325*x327
        + x382*x384) - 3.25066886439273*(x325*x384 - x327*x382))*b465 + x233
        =E= 0;

e235.. -(10.4897313872018*(sqr(x327) + sqr(x384)) - 10.5012313872018*(x327*x325
        + x384*x382) - 3.25066886439273*(x327*x382 - x325*x384))*b465 + x234
        =E= 0;

e236.. -(0.912856648860924*(sqr(x343) + sqr(x400)) - 0.912856648860924*(x343*
       x344 + x400*x401) - 0.613004398639058*(x343*x401 - x344*x400))*b466
        + x235 =E= 0;

e237.. -(0.912856648860924*(sqr(x344) + sqr(x401)) - 0.912856648860924*(x344*
       x343 + x401*x400) - 0.613004398639058*(x344*x400 - x343*x401))*b466
        + x236 =E= 0;

e238.. -(5.54310116525373*(sqr(x318) + sqr(x375)) - 5.56660116525373*(x318*x320
        + x375*x377) - 1.09079641330694*(x318*x377 - x320*x375))*b467 + x237
        =E= 0;

e239.. -(5.54310116525373*(sqr(x320) + sqr(x377)) - 5.56660116525373*(x320*x318
        + x377*x375) - 1.09079641330694*(x320*x375 - x318*x377))*b467 + x238
        =E= 0;

e240.. -(13.6054421768707*(sqr(x326) + sqr(x383)) - 13.6054421768707*(x326*x358
        + x383*x415))*b468 + x239 =E= 0;

e241.. -(13.6054421768707*(sqr(x358) + sqr(x415)) - 13.6054421768707*(x358*x326
        + x415*x383))*b468 + x240 =E= 0;

e242.. -(3.97120727656327*(sqr(x350) + sqr(x407)) - 3.97270727656327*(x350*x361
        + x407*x418) - 2.58113749607218*(x350*x418 - x361*x407))*b469 + x241
        =E= 0;

e243.. -(3.97120727656327*(sqr(x361) + sqr(x418)) - 3.97270727656327*(x361*x350
        + x418*x407) - 2.58113749607218*(x361*x407 - x350*x418))*b469 + x242
        =E= 0;

e244.. -(7.54332451932552*(sqr(x322) + sqr(x379)) - 7.55972451932552*(x322*x324
        + x379*x381) - 1.659305619535*(x322*x381 - x324*x379))*b470 + x243
        =E= 0;

e245.. -(7.54332451932552*(sqr(x324) + sqr(x381)) - 7.55972451932552*(x324*x322
        + x381*x379) - 1.659305619535*(x324*x379 - x322*x381))*b470 + x244
        =E= 0;

e246.. -(14.6207699867746*(sqr(x350) + sqr(x407)) - 14.6207699867746*(x350*x360
        + x407*x417) - 9.46406687940595*(x350*x417 - x360*x407))*b471 + x245
        =E= 0;

e247.. -(14.6207699867746*(sqr(x360) + sqr(x417)) - 14.6207699867746*(x360*x350
        + x417*x407) - 9.46406687940595*(x360*x407 - x350*x417))*b471 + x246
        =E= 0;

e248.. -(10.5346536692937*(sqr(x313) + sqr(x370)) - 10.5840536692937*(x313*x327
        + x370*x384) - 2.07028742102668*(x313*x384 - x327*x370))*b472 + x247
        =E= 0;

e249.. -(10.5346536692937*(sqr(x327) + sqr(x384)) - 10.5840536692937*(x327*x313
        + x384*x370) - 2.07028742102668*(x327*x370 - x313*x384))*b472 + x248
        =E= 0;

e250.. -(6.12374358577114*(sqr(x333) + sqr(x390)) - 6.12374358577114*(x333*x334
        + x390*x391) - 3.85220109327142*(x333*x391 - x334*x390))*b473 + x249
        =E= 0;

e251.. -(6.12374358577114*(sqr(x334) + sqr(x391)) - 6.12374358577114*(x334*x333
        + x391*x390) - 3.85220109327142*(x334*x390 - x333*x391))*b473 + x250
        =E= 0;

e252.. -(6.21339189997053*(sqr(x316) + sqr(x373)) - 6.23079189997053*(x316*x318
        + x373*x375) - 1.81029764661306*(x316*x375 - x318*x373))*b474 + x251
        =E= 0;

e253.. -(6.21339189997053*(sqr(x318) + sqr(x375)) - 6.23079189997053*(x318*x316
        + x375*x373) - 1.81029764661306*(x318*x373 - x316*x375))*b474 + x252
        =E= 0;

e254.. -(12.7605625999582*(sqr(x317) + sqr(x374)) - 12.7667625999582*(x317*x318
        + x374*x375) - 6.01491779280401*(x317*x375 - x318*x374))*b475 + x253
        =E= 0;

e255.. -(12.7605625999582*(sqr(x318) + sqr(x375)) - 12.7667625999582*(x318*x317
        + x375*x374) - 6.01491779280401*(x318*x374 - x317*x375))*b475 + x254
        =E= 0;

e256.. -(11.3458126029805*(sqr(x347) + sqr(x404)) - 11.3466126029805*(x347*x348
        + x404*x405) - 9.08574193534755*(x347*x405 - x348*x404))*b476 + x255
        =E= 0;

e257.. -(11.3458126029805*(sqr(x348) + sqr(x405)) - 11.3466126029805*(x348*x347
        + x405*x404) - 9.08574193534755*(x348*x404 - x347*x405))*b476 + x256
        =E= 0;

e258.. -(3.2539584404428*(sqr(x362) + sqr(x419)) - 3.2539584404428*(x362*x363
        + x419*x420) - 2.04999381747896*(x362*x420 - x363*x419))*b477 + x257
        =E= 0;

e259.. -(3.2539584404428*(sqr(x363) + sqr(x420)) - 3.2539584404428*(x363*x362
        + x420*x419) - 2.04999381747896*(x363*x419 - x362*x420))*b477 + x258
        =E= 0;

e260.. -(4.1273831971573*(sqr(x316) + sqr(x373)) - 4.1273831971573*(x316*x330
        + x373*x387))*b478 + x259 =E= 0;

e261.. -(4.1273831971573*(sqr(x330) + sqr(x387)) - 4.1273831971573*(x330*x316
        + x387*x373))*b478 + x260 =E= 0;

e262.. -(5.77199631921565*(sqr(x321) + sqr(x378)) - 5.79229631921565*(x321*x325
        + x378*x382) - 1.76335096806502*(x321*x382 - x325*x378))*b479 + x261
        =E= 0;

e263.. -(5.77199631921565*(sqr(x325) + sqr(x382)) - 5.79229631921565*(x325*x321
        + x382*x378) - 1.76335096806502*(x325*x378 - x321*x382))*b479 + x262
        =E= 0;

e264.. -(14.0449438202247*(sqr(x322) + sqr(x379)) - 14.0449438202247*(x322*x363
        + x379*x420))*b480 + x263 =E= 0;

e265.. -(14.0449438202247*(sqr(x363) + sqr(x420)) - 14.0449438202247*(x363*x322
        + x420*x379))*b480 + x264 =E= 0;

e266.. -(11.714558358969*(sqr(x324) + sqr(x381)) - 11.725358358969*(x324*x328
        + x381*x385) - 2.59602030087875*(x324*x385 - x328*x381))*b481 + x265
        =E= 0;

e267.. -(11.714558358969*(sqr(x328) + sqr(x385)) - 11.725358358969*(x328*x324
        + x385*x381) - 2.59602030087875*(x328*x381 - x324*x385))*b481 + x266
        =E= 0;

e268.. -(21.0849849839635*(sqr(x325) + sqr(x382)) - 21.0904849839635*(x325*x326
        + x382*x383) - 6.41461755272621*(x325*x383 - x326*x382))*b482 + x267
        =E= 0;

e269.. -(21.0849849839635*(sqr(x326) + sqr(x383)) - 21.0904849839635*(x326*x325
        + x383*x382) - 6.41461755272621*(x326*x382 - x325*x383))*b482 + x268
        =E= 0;

e270.. -(26.6550741880498*(sqr(x359) + sqr(x416)) - 26.6550741880498*(x359*x360
        + x416*x417) - 20.8207017262879*(x359*x417 - x360*x416))*b483 + x269
        =E= 0;

e271.. -(26.6550741880498*(sqr(x360) + sqr(x417)) - 26.6550741880498*(x360*x359
        + x417*x416) - 20.8207017262879*(x360*x416 - x359*x417))*b483 + x270
        =E= 0;

e272.. -(1.40679621268947*(sqr(x342) + sqr(x399)) - 1.40679621268947*(x342*x343
        + x399*x400) - 0.922767737096112*(x342*x400 - x343*x399))*b484 + x271
        =E= 0;

e273.. -(1.40679621268947*(sqr(x343) + sqr(x400)) - 1.40679621268947*(x343*x342
        + x400*x399) - 0.922767737096112*(x343*x399 - x342*x400))*b484 + x272
        =E= 0;

e274.. -(2.11090655040689*(sqr(x353) + sqr(x410)) - 2.11090655040689*(x353*x354
        + x410*x411) - 1.24135697708587*(x353*x411 - x354*x410))*b485 + x273
        =E= 0;

e275.. -(2.11090655040689*(sqr(x354) + sqr(x411)) - 2.11090655040689*(x354*x353
        + x411*x410) - 1.24135697708587*(x354*x410 - x353*x411))*b485 + x274
        =E= 0;

e276.. -(13.5196055779883*(sqr(x319) + sqr(x376)) - 13.5293055779883*(x319*x320
        + x376*x377) - 2.64125488109603*(x319*x377 - x320*x376))*b486 + x275
        =E= 0;

e277.. -(13.5196055779883*(sqr(x320) + sqr(x377)) - 13.5293055779883*(x320*x319
        + x377*x376) - 2.64125488109603*(x320*x376 - x319*x377))*b486 + x276
        =E= 0;

e278.. -(46.1935876006686*(sqr(x334) + sqr(x391)) - 46.1935876006686*(x334*x335
        + x391*x392) - 30.0866129767513*(x334*x392 - x335*x391))*b487 + x277
        =E= 0;

e279.. -(46.1935876006686*(sqr(x335) + sqr(x392)) - 46.1935876006686*(x335*x334
        + x392*x391) - 30.0866129767513*(x335*x391 - x334*x392))*b487 + x278
        =E= 0;

e280.. -(1.33511348464619*(sqr(x323) + sqr(x380)) - 1.33511348464619*(x323*x353
        + x380*x410))*b488 + x279 =E= 0;

e281.. -(1.33511348464619*(sqr(x353) + sqr(x410)) - 1.33511348464619*(x353*x323
        + x410*x380))*b488 + x280 =E= 0;

e282.. -(16.6465808189983*(sqr(x326) + sqr(x383)) - 16.6539808189983*(x326*x327
        + x383*x384) - 5.20627188308723*(x326*x384 - x327*x383))*b489 + x281
        =E= 0;

e283.. -(16.6465808189983*(sqr(x327) + sqr(x384)) - 16.6539808189983*(x327*x326
        + x384*x383) - 5.20627188308723*(x327*x383 - x326*x384))*b489 + x282
        =E= 0;

e284.. -(5.61403262542429*(sqr(x361) + sqr(x418)) - 5.61403262542429*(x361*x362
        + x418*x419) - 3.51315635387879*(x361*x419 - x362*x418))*b490 + x283
        =E= 0;

e285.. -(5.61403262542429*(sqr(x362) + sqr(x419)) - 5.61403262542429*(x362*x361
        + x419*x418) - 3.51315635387879*(x362*x418 - x361*x419))*b490 + x284
        =E= 0;

e286.. -(6.5359477124183*(sqr(x323) + sqr(x380)) - 6.5359477124183*(x323*x355
        + x380*x412))*b491 + x285 =E= 0;

e287.. -(6.5359477124183*(sqr(x355) + sqr(x412)) - 6.5359477124183*(x355*x323
        + x412*x380))*b491 + x286 =E= 0;

e288.. -(1.00477303863902*(sqr(x330) + sqr(x387)) - 1.00477303863902*(x330*x331
        + x387*x388) - 0.676204920894292*(x330*x388 - x331*x387))*b492 + x287
        =E= 0;

e289.. -(1.00477303863902*(sqr(x331) + sqr(x388)) - 1.00477303863902*(x331*x330
        + x388*x387) - 0.676204920894292*(x331*x387 - x330*x388))*b492 + x288
        =E= 0;

e290.. -(12.491603325062*(sqr(x323) + sqr(x380)) - 12.5010033250619*(x323*x325
        + x380*x382) - 3.80836576706122*(x323*x382 - x325*x380))*b493 + x289
        =E= 0;

e291.. -(12.491603325062*(sqr(x325) + sqr(x382)) - 12.5010033250619*(x325*x323
        + x382*x380) - 3.80836576706122*(x325*x380 - x323*x382))*b493 + x290
        =E= 0;

e292.. -(15.1714438265897*(sqr(x348) + sqr(x405)) - 15.1714438265897*(x348*x352
        + x405*x409) - 9.76702392269726*(x348*x409 - x352*x405))*b494 + x291
        =E= 0;

e293.. -(15.1714438265897*(sqr(x352) + sqr(x409)) - 15.1714438265897*(x352*x348
        + x409*x405) - 9.76702392269726*(x352*x405 - x348*x409))*b494 + x292
        =E= 0;

e294.. -(3.19519670534214*(sqr(x321) + sqr(x378)) - 3.23379670534214*(x321*x324
        + x378*x381) - 0.710339072902274*(x321*x381 - x324*x378))*b495 + x293
        =E= 0;

e295.. -(3.19519670534214*(sqr(x324) + sqr(x381)) - 3.23379670534214*(x324*x321
        + x381*x378) - 0.710339072902274*(x324*x378 - x321*x381))*b495 + x294
        =E= 0;

e296.. -(6.99679871029668*(sqr(x349) + sqr(x406)) - 6.99779871029668*(x349*x350
        + x406*x407) - 4.51493256729746*(x349*x407 - x350*x406))*b496 + x295
        =E= 0;

e297.. -(6.99679871029668*(sqr(x350) + sqr(x407)) - 6.99779871029668*(x350*x349
        + x407*x406) - 4.51493256729746*(x350*x406 - x349*x407))*b496 + x296
        =E= 0;

e298.. -(5.30087265905526*(sqr(x324) + sqr(x381)) - 5.32467265905526*(x324*x329
        + x381*x386) - 1.18094695287427*(x324*x386 - x329*x381))*b497 + x297
        =E= 0;

e299.. -(5.30087265905526*(sqr(x329) + sqr(x386)) - 5.32467265905526*(x329*x324
        + x386*x381) - 1.18094695287427*(x329*x381 - x324*x386))*b497 + x298
        =E= 0;

e300.. -(16.7846791649851*(sqr(x348) + sqr(x405)) - 16.7846791649851*(x348*x349
        + x405*x406) - 13.2993359503981*(x348*x406 - x349*x405))*b498 + x299
        =E= 0;

e301.. -(16.7846791649851*(sqr(x349) + sqr(x406)) - 16.7846791649851*(x349*x348
        + x406*x405) - 13.2993359503981*(x349*x405 - x348*x406))*b498 + x300
        =E= 0;

e302.. -(2.60402519439273*(sqr(x365) + sqr(x422)) - 2.60402519439273*(x365*x366
        + x422*x423) - 2.1079134978748*(x365*x423 - x366*x422))*b499 + x301
        =E= 0;

e303.. -(2.60402519439273*(sqr(x366) + sqr(x423)) - 2.60402519439273*(x366*x365
        + x423*x422) - 2.1079134978748*(x366*x422 - x365*x423))*b499 + x302
        =E= 0;

e304.. -(0.836820083682008*(sqr(x352) + sqr(x409)) - 0.836820083682008*(x352*
       x368 + x409*x425))*b500 + x303 =E= 0;

e305.. -(0.836820083682008*(sqr(x368) + sqr(x425)) - 0.836820083682008*(x368*
       x352 + x425*x409))*b500 + x304 =E= 0;

e306.. -(1.6167185084468*(sqr(x331) + sqr(x388)) - 1.6167185084468*(x331*x332
        + x388*x389) - 1.05421967255862*(x331*x389 - x332*x388))*b501 + x305
        =E= 0;

e307.. -(1.6167185084468*(sqr(x332) + sqr(x389)) - 1.6167185084468*(x332*x331
        + x389*x388) - 1.05421967255862*(x332*x388 - x331*x389))*b501 + x306
        =E= 0;

e308.. -(5.23560209424084*(sqr(x325) + sqr(x382)) - 5.23560209424084*(x325*x361
        + x382*x418))*b502 + x307 =E= 0;

e309.. -(5.23560209424084*(sqr(x361) + sqr(x418)) - 5.23560209424084*(x361*x325
        + x418*x382))*b502 + x308 =E= 0;

e310.. -(13.7395871106246*(sqr(x350) + sqr(x407)) - 13.7405871106246*(x350*x356
        + x407*x413) - 6.78808491447952*(x350*x413 - x356*x407))*b503 + x309
        =E= 0;

e311.. -(13.7395871106246*(sqr(x356) + sqr(x413)) - 13.7405871106246*(x356*x350
        + x413*x407) - 6.78808491447952*(x356*x407 - x350*x413))*b503 + x310
        =E= 0;

e312.. -(2.78596106862333*(sqr(x366) + sqr(x423)) - 2.78596106862333*(x366*x367
        + x423*x424) - 2.13036846395391*(x366*x424 - x367*x423))*b504 + x311
        =E= 0;

e313.. -(2.78596106862333*(sqr(x367) + sqr(x424)) - 2.78596106862333*(x367*x366
        + x424*x423) - 2.13036846395391*(x367*x423 - x366*x424))*b504 + 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..    x505 =L= 5.7588;

e585..    x506 =L= 1;

e586..    x507 =L= 1.4;

e587..    x508 =L= 1;

e588..    x509 =L= 5.5;

e589..    x510 =L= 1;

e590..    x511 =L= 4.1;

e591..    x505 =G= 0;

e592..    x506 =G= 0;

e593..    x507 =G= 0;

e594..    x508 =G= 0;

e595..    x509 =G= 0;

e596..    x510 =G= 0;

e597..    x511 =G= 0;

e598..    x512 =L= 2;

e599..    x513 =L= 0.5;

e600..    x514 =L= 0.6;

e601..    x515 =L= 0.25;

e602..    x516 =L= 2;

e603..    x517 =L= 0.09;

e604..    x518 =L= 1.55;

e605..    x512 =G= -1.4;

e606..    x513 =G= -0.17;

e607..    x514 =G= -0.1;

e608..    x515 =G= -0.08;

e609..    x516 =G= -1.4;

e610..    x517 =G= -0.03;

e611..    x518 =G= -1.5;

e612..    x370 =E= 0;

e613..    x1 + x35 + x43 + x91 - x505 =E= -0.55;

e614..    x11 + x36 - x506 =E= -0.03;

e615..    x12 + x19 + x41 - x507 =E= -0.41;

e616..    x15 + x81 + x96 + x98 - x508 =E= -0.75;

e617..    x61 + x82 + x120 - x509 =E= -1.5;

e618..    x5 + x37 + x62 + x73 + x105 + x137 - x510 =E= -1.21;

e619..    x3 + x88 + x109 + x138 + x141 - x511 =E= -3.77;

e620..    x157 + x191 + x199 + x247 - x512 =E= -0.17;

e621..    x167 + x192 - x513 =E= -0.88;

e622..    x168 + x175 + x197 - x514 =E= -0.21;

e623..    x171 + x237 + x252 + x254 - x515 =E= -0.02;

e624..    x217 + x238 + x276 - x516 =E= -0.22;

e625..    x161 + x193 + x218 + x229 + x261 + x293 - x517 =E= -0.26;

e626..    x159 + x244 + x265 + x294 + x297 - x518 =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 MINLP $set MINLP MINLP
Solve m using %MINLP% minimizing objvar;


Last updated: 2022-04-26 Git hash: de668763
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