MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance powerflow0039r

Optimal Power Flow problem modeled using quadratic functions (rectangular coordinates)
Formats ams gms lp mod nl osil pip py
Primal Bounds (infeas ≤ 1e-08)
41869.05151000 p1 ( gdx sol )
(infeas: 8e-12)
Other points (infeas > 1e-08)  
Dual Bounds
29022.62958000 (ANTIGONE)
41198.15897000 (BARON)
27103.82841000 (COUENNE)
41416.55788000 (GUROBI)
27035.50382000 (LINDO)
41782.90626000 (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 282
#Binary Variables 0
#Integer Variables 0
#Nonlinear Variables 272
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type quadratic
Objective curvature convex
#Nonzeros in Objective 10
#Nonlinear Nonzeros in Objective 10
#Constraints 473
#Linear Constraints 119
#Quadratic Constraints 354
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 1505
#Nonlinear Nonzeros in Jacobian 1076
#Nonzeros in (Upper-Left) Hessian of Lagrangian 640
#Nonzeros in Diagonal of Hessian of Lagrangian 272
#Blocks in Hessian of Lagrangian 195
Minimal blocksize in Hessian of Lagrangian 1
Maximal blocksize in Hessian of Lagrangian 78
Average blocksize in Hessian of Lagrangian 1.394872
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 3.3780e-01
Maximal coefficient 3.8233e+02
Infeasibility of initial point 11.04
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
*        474      264       59      151        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        283      283        0        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1516      430     1086        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,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;


e1.. 100*sqr(x263) + 30*x263 + 100*sqr(x264) + 30*x264 + 100*sqr(x265) + 30*
     x265 + 100*sqr(x266) + 30*x266 + 100*sqr(x267) + 30*x267 + 100*sqr(x268)
      + 30*x268 + 100*sqr(x269) + 30*x269 + 100*sqr(x270) + 30*x270 + 100*sqr(
     x271) + 30*x271 + 100*sqr(x272) + 30*x272 - objvar =E= -2;

e2.. 0.422205920382519*x196*x197 - 0.844411840765037*sqr(x196) - 
     11.4787234603997*x196*x236 + 0.422205920382519*x197*x196 + 
     11.4787234603997*x197*x235 + 11.4787234603997*x235*x197 - 
     0.844411840765037*sqr(x235) + 0.422205920382519*x235*x236 - 
     11.4787234603997*x236*x196 + 0.422205920382519*x236*x235 + x1 =E= 0;

e3.. 0.422205920382519*x196*x197 + 11.4787234603997*x196*x236 + 
     0.422205920382519*x197*x196 - 0.844411840765037*sqr(x197) - 
     11.4787234603997*x197*x235 - 11.4787234603997*x235*x197 + 
     0.422205920382519*x235*x236 + 11.4787234603997*x236*x196 + 
     0.422205920382519*x236*x235 - 0.844411840765037*sqr(x236) + x2 =E= 0;

e4.. 3.17258883248731*x189*x192 - 6.34517766497462*sqr(x189) - 44.4162436548223
     *x189*x231 + 3.17258883248731*x192*x189 + 44.4162436548223*x192*x228 + 
     44.4162436548223*x228*x192 - 6.34517766497462*sqr(x228) + 3.17258883248731
     *x228*x231 - 44.4162436548223*x231*x189 + 3.17258883248731*x231*x228 + x3
      =E= 0;

e5.. 3.17258883248731*x189*x192 + 44.4162436548223*x189*x231 + 3.17258883248731
     *x192*x189 - 6.34517766497462*sqr(x192) - 44.4162436548223*x192*x228 - 
     44.4162436548223*x228*x192 + 3.17258883248731*x228*x231 + 44.4162436548223
     *x231*x189 + 3.17258883248731*x231*x228 - 6.34517766497462*sqr(x231) + x4
      =E= 0;

e6.. 4.39146800501882*x200*x201 - 8.78293601003764*sqr(x200) - 55.8343789209536
     *x200*x240 + 4.39146800501882*x201*x200 + 55.8343789209536*x201*x239 + 
     55.8343789209536*x239*x201 - 8.78293601003764*sqr(x239) + 4.39146800501882
     *x239*x240 - 55.8343789209536*x240*x200 + 4.39146800501882*x240*x239 + x5
      =E= 0;

e7.. 4.39146800501882*x200*x201 + 55.8343789209536*x200*x240 + 4.39146800501882
     *x201*x200 - 8.78293601003764*sqr(x201) - 55.8343789209536*x201*x239 - 
     55.8343789209536*x239*x201 + 4.39146800501882*x239*x240 + 55.8343789209536
     *x240*x200 + 4.39146800501882*x240*x239 - 8.78293601003764*sqr(x240) + x6
      =E= 0;

e8.. 20*x215*x229 - 20*x190*x254 + 20*x229*x215 - 20*x254*x190 + x7 =E= 0;

e9.. 20*x190*x254 - 20*x215*x229 - 20*x229*x215 + 20*x254*x190 + x8 =E= 0;

e10.. 3.52941176470588*x190*x191 - 7.05882352941176*sqr(x190) - 
      54.1176470588235*x190*x230 + 3.52941176470588*x191*x190 + 
      54.1176470588235*x191*x229 + 54.1176470588235*x229*x191 - 
      7.05882352941176*sqr(x229) + 3.52941176470588*x229*x230 - 
      54.1176470588235*x230*x190 + 3.52941176470588*x230*x229 + x9 =E= 0;

e11.. 3.52941176470588*x190*x191 + 54.1176470588235*x190*x230 + 
      3.52941176470588*x191*x190 - 7.05882352941176*sqr(x191) - 
      54.1176470588235*x191*x229 - 54.1176470588235*x229*x191 + 
      3.52941176470588*x229*x230 + 54.1176470588235*x230*x190 + 
      3.52941176470588*x230*x229 - 7.05882352941176*sqr(x230) + x10 =E= 0;

e12.. 0.798722044728434*x185*x223 - 1.59744408945687*sqr(x185) - 
      19.9680511182109*x185*x262 + 0.798722044728434*x223*x185 + 
      19.9680511182109*x223*x224 + 19.9680511182109*x224*x223 - 
      1.59744408945687*sqr(x224) + 0.798722044728434*x224*x262 - 
      19.9680511182109*x262*x185 + 0.798722044728434*x262*x224 + x11 =E= 0;

e13.. 0.798722044728434*x185*x223 + 19.9680511182109*x185*x262 + 
      0.798722044728434*x223*x185 - 1.59744408945687*sqr(x223) - 
      19.9680511182109*x223*x224 - 19.9680511182109*x224*x223 + 
      0.798722044728434*x224*x262 + 19.9680511182109*x262*x185 + 
      0.798722044728434*x262*x224 - 1.59744408945687*sqr(x262) + x12 =E= 0;

e14.. 3.21027287319422*x210*x211 - 6.42054574638844*sqr(x210) - 
      33.7078651685393*x210*x250 + 3.21027287319422*x211*x210 + 
      33.7078651685393*x211*x249 + 33.7078651685393*x249*x211 - 
      6.42054574638844*sqr(x249) + 3.21027287319422*x249*x250 - 
      33.7078651685393*x250*x210 + 3.21027287319422*x250*x249 + x13 =E= 0;

e15.. 3.21027287319422*x210*x211 + 33.7078651685393*x210*x250 + 
      3.21027287319422*x211*x210 - 6.42054574638844*sqr(x211) - 
      33.7078651685393*x211*x249 - 33.7078651685393*x249*x211 + 
      3.21027287319422*x249*x250 + 33.7078651685393*x250*x210 + 
      3.21027287319422*x250*x249 - 6.42054574638844*sqr(x250) + x14 =E= 0;

e16.. 25*x216*x233 - 25*x194*x255 + 25*x233*x216 - 25*x255*x194 + x15 =E= 0;

e17.. 25*x194*x255 - 25*x216*x233 - 25*x233*x216 + 25*x255*x194 + x16 =E= 0;

e18.. 1.0285284402807*x185*x186 - 2.0570568805614*sqr(x185) - 12.0778625415819*
      x185*x225 + 1.0285284402807*x186*x185 + 12.0778625415819*x186*x224 + 
      12.0778625415819*x224*x186 - 2.0570568805614*sqr(x224) + 1.0285284402807*
      x224*x225 - 12.0778625415819*x225*x185 + 1.0285284402807*x225*x224 + x17
       =E= 0;

e19.. 1.0285284402807*x185*x186 + 12.0778625415819*x185*x225 + 1.0285284402807*
      x186*x185 - 2.0570568805614*sqr(x186) - 12.0778625415819*x186*x224 - 
      12.0778625415819*x224*x186 + 1.0285284402807*x224*x225 + 12.0778625415819
      *x225*x185 + 1.0285284402807*x225*x224 - 2.0570568805614*sqr(x225) + x18
       =E= 0;

e20.. 1.42737933154728*x187*x188 - 2.85475866309456*sqr(x187) - 
      23.3870613553516*x187*x227 + 1.42737933154728*x188*x187 + 
      23.3870613553516*x188*x226 + 23.3870613553516*x226*x188 - 
      2.85475866309456*sqr(x226) + 1.42737933154728*x226*x227 - 
      23.3870613553516*x227*x187 + 1.42737933154728*x227*x226 + x19 =E= 0;

e21.. 1.42737933154728*x187*x188 + 23.3870613553516*x187*x227 + 
      1.42737933154728*x188*x187 - 2.85475866309456*sqr(x188) - 
      23.3870613553516*x188*x226 - 23.3870613553516*x226*x188 + 
      1.42737933154728*x226*x227 + 23.3870613553516*x227*x187 + 
      1.42737933154728*x227*x226 - 2.85475866309456*sqr(x227) + x20 =E= 0;

e22.. 34.965034965035*x219*x245 - 34.965034965035*x206*x258 + 34.965034965035*
      x245*x219 - 34.965034965035*x258*x206 + x21 =E= 0;

e23.. 34.965034965035*x206*x258 - 34.965034965035*x219*x245 - 34.965034965035*
      x245*x219 + 34.965034965035*x258*x206 + x22 =E= 0;

e24.. 2.82977797126687*x186*x187 - 5.65955594253374*sqr(x186) - 
      32.8689595124075*x186*x226 + 2.82977797126687*x187*x186 + 
      32.8689595124075*x187*x225 + 32.8689595124075*x225*x187 - 
      5.65955594253374*sqr(x225) + 2.82977797126687*x225*x226 - 
      32.8689595124075*x226*x186 + 2.82977797126687*x226*x225 + x23 =E= 0;

e25.. 2.82977797126687*x186*x187 + 32.8689595124075*x186*x226 + 
      2.82977797126687*x187*x186 - 5.65955594253374*sqr(x187) - 
      32.8689595124075*x187*x225 - 32.8689595124075*x225*x187 + 
      2.82977797126687*x225*x226 + 32.8689595124075*x226*x186 + 
      2.82977797126687*x226*x225 - 5.65955594253374*sqr(x226) + x24 =E= 0;

e26.. 0.894425291094776*x207*x208 - 1.78885058218955*sqr(x207) - 
      14.2294932674169*x207*x247 + 0.894425291094776*x208*x207 + 
      14.2294932674169*x208*x246 + 14.2294932674169*x246*x208 - 
      1.78885058218955*sqr(x246) + 0.894425291094776*x246*x247 - 
      14.2294932674169*x247*x207 + 0.894425291094776*x247*x246 + x25 =E= 0;

e27.. 0.894425291094776*x207*x208 + 14.2294932674169*x207*x247 + 
      0.894425291094776*x208*x207 - 1.78885058218955*sqr(x208) - 
      14.2294932674169*x208*x246 - 14.2294932674169*x246*x208 + 
      0.894425291094776*x246*x247 + 14.2294932674169*x247*x207 + 
      0.894425291094776*x247*x246 - 1.78885058218955*sqr(x247) + x26 =E= 0;

e28.. 3.04387528808105*x212*x213 - 6.08775057616211*sqr(x212) - 
      32.8303691785885*x212*x252 + 3.04387528808105*x213*x212 + 
      32.8303691785885*x213*x251 + 32.8303691785885*x251*x213 - 
      6.08775057616211*sqr(x251) + 3.04387528808105*x251*x252 - 
      32.8303691785885*x252*x212 + 3.04387528808105*x252*x251 + x27 =E= 0;

e29.. 3.04387528808105*x212*x213 + 32.8303691785885*x212*x252 + 
      3.04387528808105*x213*x212 - 6.08775057616211*sqr(x213) - 
      32.8303691785885*x213*x251 - 32.8303691785885*x251*x213 + 
      3.04387528808105*x251*x252 + 32.8303691785885*x252*x212 + 
      3.04387528808105*x252*x251 - 6.08775057616211*sqr(x252) + x28 =E= 0;

e30.. 1.38542532557495*x204*x218 - 2.7708506511499*sqr(x204) - 27.708506511499*
      x204*x257 + 1.38542532557495*x218*x204 + 27.708506511499*x218*x243 + 
      27.708506511499*x243*x218 - 2.7708506511499*sqr(x243) + 1.38542532557495*
      x243*x257 - 27.708506511499*x257*x204 + 1.38542532557495*x257*x243 + x29
       =E= 0;

e31.. 1.38542532557495*x204*x218 + 27.708506511499*x204*x257 + 1.38542532557495
      *x218*x204 - 2.7708506511499*sqr(x218) - 27.708506511499*x218*x243 - 
      27.708506511499*x243*x218 + 1.38542532557495*x243*x257 + 27.708506511499*
      x257*x204 + 1.38542532557495*x257*x243 - 2.7708506511499*sqr(x257) + x30
       =E= 0;

e32.. 0.869249724107696*x192*x193 - 1.73849944821539*sqr(x192) - 
      13.7190282543954*x192*x232 + 0.869249724107696*x193*x192 + 
      13.7190282543954*x193*x231 + 13.7190282543954*x231*x193 - 
      1.73849944821539*sqr(x231) + 0.869249724107696*x231*x232 - 
      13.7190282543954*x232*x192 + 0.869249724107696*x232*x231 + x31 =E= 0;

e33.. 0.869249724107696*x192*x193 + 13.7190282543954*x192*x232 + 
      0.869249724107696*x193*x192 - 1.73849944821539*sqr(x193) - 
      13.7190282543954*x193*x231 - 13.7190282543954*x231*x193 + 
      0.869249724107696*x231*x232 + 13.7190282543954*x232*x192 + 
      0.869249724107696*x232*x231 - 1.73849944821539*sqr(x232) + x32 =E= 0;

e34.. 2.1596119343478*x201*x211 - 4.31922386869559*sqr(x201) - 28.7394511263207
      *x201*x250 + 2.1596119343478*x211*x201 + 28.7394511263207*x211*x240 + 
      28.7394511263207*x240*x211 - 4.31922386869559*sqr(x240) + 2.1596119343478
      *x240*x250 - 28.7394511263207*x250*x201 + 2.1596119343478*x250*x240 + x33
       =E= 0;

e35.. 2.1596119343478*x201*x211 + 28.7394511263207*x201*x250 + 2.1596119343478*
      x211*x201 - 4.31922386869559*sqr(x211) - 28.7394511263207*x211*x240 - 
      28.7394511263207*x240*x211 + 2.1596119343478*x240*x250 + 28.7394511263207
      *x250*x201 + 2.1596119343478*x250*x240 - 4.31922386869559*sqr(x250) + x34
       =E= 0;

e36.. 2.03417412530513*x205*x206 - 4.06834825061025*sqr(x205) - 
      35.5980471928397*x205*x245 + 2.03417412530513*x206*x205 + 
      35.5980471928397*x206*x244 + 35.5980471928397*x244*x206 - 
      4.06834825061025*sqr(x244) + 2.03417412530513*x244*x245 - 
      35.5980471928397*x245*x205 + 2.03417412530513*x245*x244 + x35 =E= 0;

e37.. 2.03417412530513*x205*x206 + 35.5980471928397*x205*x245 + 
      2.03417412530513*x206*x205 - 4.06834825061025*sqr(x206) - 
      35.5980471928397*x206*x244 - 35.5980471928397*x244*x206 + 
      2.03417412530513*x244*x245 + 35.5980471928397*x245*x205 + 
      2.03417412530513*x245*x244 - 4.06834825061025*sqr(x245) + x36 =E= 0;

e38.. 5.16757714454451*x190*x195 - 10.335154289089*sqr(x190) - 60.5344751218072
      *x190*x234 + 5.16757714454451*x195*x190 + 60.5344751218072*x195*x229 + 
      60.5344751218072*x229*x195 - 10.335154289089*sqr(x229) + 5.16757714454451
      *x229*x234 - 60.5344751218072*x234*x190 + 5.16757714454451*x234*x229
       + x37 =E= 0;

e39.. 5.16757714454451*x190*x195 + 60.5344751218072*x190*x234 + 
      5.16757714454451*x195*x190 - 10.335154289089*sqr(x195) - 60.5344751218072
      *x195*x229 - 60.5344751218072*x229*x195 + 5.16757714454451*x229*x234 + 
      60.5344751218072*x234*x190 + 5.16757714454451*x234*x229 - 10.335154289089
      *sqr(x234) + x38 =E= 0;

e40.. 3.08815272318922*x187*x202 - 6.17630544637844*sqr(x187) - 
      37.3385738349242*x187*x241 + 3.08815272318922*x202*x187 + 
      37.3385738349242*x202*x226 + 37.3385738349242*x226*x202 - 
      6.17630544637844*sqr(x226) + 3.08815272318922*x226*x241 - 
      37.3385738349242*x241*x187 + 3.08815272318922*x241*x226 + x39 =E= 0;

e41.. 3.08815272318922*x187*x202 + 37.3385738349242*x187*x241 + 
      3.08815272318922*x202*x187 - 6.17630544637844*sqr(x202) - 
      37.3385738349242*x202*x226 - 37.3385738349242*x226*x202 + 
      3.08815272318922*x226*x241 + 37.3385738349242*x241*x187 + 
      3.08815272318922*x241*x226 - 6.17630544637844*sqr(x241) + x40 =E= 0;

e42.. 2.08980956610329*x200*x203 - 4.17961913220658*sqr(x200) - 
      25.4695540868838*x200*x242 + 2.08980956610329*x203*x200 + 
      25.4695540868838*x203*x239 + 25.4695540868838*x239*x203 - 
      4.17961913220658*sqr(x239) + 2.08980956610329*x239*x242 - 
      25.4695540868838*x242*x200 + 2.08980956610329*x242*x239 + x41 =E= 0;

e43.. 2.08980956610329*x200*x203 + 25.4695540868838*x200*x242 + 
      2.08980956610329*x203*x200 - 4.17961913220658*sqr(x203) - 
      25.4695540868838*x203*x239 - 25.4695540868838*x239*x203 + 
      2.08980956610329*x239*x242 + 25.4695540868838*x242*x200 + 
      2.08980956610329*x242*x239 - 4.17961913220658*sqr(x242) + x42 =E= 0;

e44.. 1.83313256167182*x203*x204 - 3.66626512334363*sqr(x203) - 
      36.1388990729587*x203*x243 + 1.83313256167182*x204*x203 + 
      36.1388990729587*x204*x242 + 36.1388990729587*x242*x204 - 
      3.66626512334363*sqr(x242) + 1.83313256167182*x242*x243 - 
      36.1388990729587*x243*x203 + 1.83313256167182*x243*x242 + x43 =E= 0;

e45.. 1.83313256167182*x203*x204 + 36.1388990729587*x203*x243 + 
      1.83313256167182*x204*x203 - 3.66626512334363*sqr(x204) - 
      36.1388990729587*x204*x242 - 36.1388990729587*x242*x204 + 
      1.83313256167182*x242*x243 + 36.1388990729587*x243*x203 + 
      1.83313256167182*x243*x242 - 3.66626512334363*sqr(x243) + x44 =E= 0;

e46.. 1.51870378631838*x209*x210 - 3.03740757263675*sqr(x209) - 
      15.3294163431511*x209*x249 + 1.51870378631838*x210*x209 + 
      15.3294163431511*x210*x248 + 15.3294163431511*x248*x210 - 
      3.03740757263675*sqr(x248) + 1.51870378631838*x248*x249 - 
      15.3294163431511*x249*x209 + 1.51870378631838*x249*x248 + x45 =E= 0;

e47.. 1.51870378631838*x209*x210 + 15.3294163431511*x209*x249 + 
      1.51870378631838*x210*x209 - 3.03740757263675*sqr(x210) - 
      15.3294163431511*x210*x248 - 15.3294163431511*x248*x210 + 
      1.51870378631838*x248*x249 + 15.3294163431511*x249*x209 + 
      1.51870378631838*x249*x248 - 3.03740757263675*sqr(x249) + x46 =E= 0;

e48.. 5.04654031624986*x199*x200 - 10.0930806324997*sqr(x199) - 
      52.7083099697208*x199*x239 + 5.04654031624986*x200*x199 + 
      52.7083099697208*x200*x238 + 52.7083099697208*x238*x200 - 
      10.0930806324997*sqr(x238) + 5.04654031624986*x238*x239 - 
      52.7083099697208*x239*x199 + 5.04654031624986*x239*x238 + x47 =E= 0;

e49.. 5.04654031624986*x199*x200 + 52.7083099697208*x199*x239 + 
      5.04654031624986*x200*x199 - 10.0930806324997*sqr(x200) - 
      52.7083099697208*x200*x238 - 52.7083099697208*x238*x200 + 
      5.04654031624986*x238*x239 + 52.7083099697208*x239*x199 + 
      5.04654031624986*x239*x238 - 10.0930806324997*sqr(x239) + x48 =E= 0;

e50.. 0.422205920382519*x195*x196 + 11.4787234603997*x195*x235 + 
      0.422205920382519*x196*x195 - 0.844411840765037*sqr(x196) - 
      11.4787234603997*x196*x234 - 11.4787234603997*x234*x196 + 
      0.422205920382519*x234*x235 + 11.4787234603997*x235*x195 + 
      0.422205920382519*x235*x234 - 0.844411840765037*sqr(x235) + x49 =E= 0;

e51.. 0.422205920382519*x195*x196 - 0.844411840765037*sqr(x195) - 
      11.4787234603997*x195*x235 + 0.422205920382519*x196*x195 + 
      11.4787234603997*x196*x234 + 11.4787234603997*x234*x196 - 
      0.844411840765037*sqr(x234) + 0.422205920382519*x234*x235 - 
      11.4787234603997*x235*x195 + 0.422205920382519*x235*x234 + x50 =E= 0;

e52.. 5.16757714454451*x201*x202 - 10.335154289089*sqr(x201) - 60.5344751218072
      *x201*x241 + 5.16757714454451*x202*x201 + 60.5344751218072*x202*x240 + 
      60.5344751218072*x240*x202 - 10.335154289089*sqr(x240) + 5.16757714454451
      *x240*x241 - 60.5344751218072*x241*x201 + 5.16757714454451*x241*x240
       + x51 =E= 0;

e53.. 5.16757714454451*x201*x202 + 60.5344751218072*x201*x241 + 
      5.16757714454451*x202*x201 - 10.335154289089*sqr(x202) - 60.5344751218072
      *x202*x240 - 60.5344751218072*x240*x202 + 5.16757714454451*x240*x241 + 
      60.5344751218072*x241*x201 + 5.16757714454451*x241*x240 - 10.335154289089
      *sqr(x241) + x52 =E= 0;

e54.. 2.43190661478599*x188*x189 - 4.86381322957198*sqr(x188) - 
      38.9105058365759*x188*x228 + 2.43190661478599*x189*x188 + 
      38.9105058365759*x189*x227 + 38.9105058365759*x227*x189 - 
      4.86381322957198*sqr(x227) + 2.43190661478599*x227*x228 - 
      38.9105058365759*x228*x188 + 2.43190661478599*x228*x227 + x53 =E= 0;

e55.. 2.43190661478599*x188*x189 + 38.9105058365759*x188*x228 + 
      2.43190661478599*x189*x188 - 4.86381322957198*sqr(x189) - 
      38.9105058365759*x189*x227 - 38.9105058365759*x227*x189 + 
      2.43190661478599*x227*x228 + 38.9105058365759*x228*x188 + 
      2.43190661478599*x228*x227 - 4.86381322957198*sqr(x228) + x54 =E= 0;

e56.. 2.18710700421018*x200*x205 - 4.37421400842036*sqr(x200) - 
      36.9074306960468*x200*x244 + 2.18710700421018*x205*x200 + 
      36.9074306960468*x205*x239 + 36.9074306960468*x239*x205 - 
      4.37421400842036*sqr(x239) + 2.18710700421018*x239*x244 - 
      36.9074306960468*x244*x200 + 2.18710700421018*x244*x239 + x55 =E= 0;

e57.. 2.18710700421018*x200*x205 + 36.9074306960468*x200*x244 + 
      2.18710700421018*x205*x200 - 4.37421400842036*sqr(x205) - 
      36.9074306960468*x205*x239 - 36.9074306960468*x239*x205 + 
      2.18710700421018*x239*x244 + 36.9074306960468*x244*x200 + 
      2.18710700421018*x244*x239 - 4.37421400842036*sqr(x244) + x56 =E= 0;

e58.. 0.798722044728434*x193*x223 - 1.59744408945687*sqr(x193) - 
      19.9680511182109*x193*x262 + 0.798722044728434*x223*x193 + 
      19.9680511182109*x223*x232 + 19.9680511182109*x232*x223 - 
      1.59744408945687*sqr(x232) + 0.798722044728434*x232*x262 - 
      19.9680511182109*x262*x193 + 0.798722044728434*x262*x232 + x57 =E= 0;

e59.. 0.798722044728434*x193*x223 + 19.9680511182109*x193*x262 + 
      0.798722044728434*x223*x193 - 1.59744408945687*sqr(x223) - 
      19.9680511182109*x223*x232 - 19.9680511182109*x232*x223 + 
      0.798722044728434*x232*x262 + 19.9680511182109*x262*x193 + 
      0.798722044728434*x262*x232 - 1.59744408945687*sqr(x262) + x58 =E= 0;

e60.. 3.24254215304799*x206*x207 - 6.48508430609598*sqr(x206) - 
      51.8806744487678*x206*x246 + 3.24254215304799*x207*x206 + 
      51.8806744487678*x207*x245 + 51.8806744487678*x245*x207 - 
      6.48508430609598*sqr(x245) + 3.24254215304799*x245*x246 - 
      51.8806744487678*x246*x206 + 3.24254215304799*x246*x245 + x59 =E= 0;

e61.. 3.24254215304799*x206*x207 + 51.8806744487678*x206*x246 + 
      3.24254215304799*x207*x206 - 6.48508430609598*sqr(x207) - 
      51.8806744487678*x207*x245 - 51.8806744487678*x245*x207 + 
      3.24254215304799*x245*x246 + 51.8806744487678*x246*x206 + 
      3.24254215304799*x246*x245 - 6.48508430609598*sqr(x246) + x60 =E= 0;

e62.. 4.3765804318226*x197*x198 - 8.75316086364521*sqr(x197) - 49.1149581793425
      *x197*x237 + 4.3765804318226*x198*x197 + 49.1149581793425*x198*x236 + 
      49.1149581793425*x236*x198 - 8.75316086364521*sqr(x236) + 4.3765804318226
      *x236*x237 - 49.1149581793425*x237*x197 + 4.3765804318226*x237*x236 + x61
       =E= 0;

e63.. 4.3765804318226*x197*x198 + 49.1149581793425*x197*x237 + 4.3765804318226*
      x198*x197 - 8.75316086364521*sqr(x198) - 49.1149581793425*x198*x236 - 
      49.1149581793425*x236*x198 + 4.3765804318226*x236*x237 + 49.1149581793425
      *x237*x197 + 4.3765804318226*x237*x236 - 8.75316086364521*sqr(x237) + x62
       =E= 0;

e64.. 27.6243093922652*x214*x225 - 27.6243093922652*x186*x253 + 
      27.6243093922652*x225*x214 - 27.6243093922652*x253*x186 + x63 =E= 0;

e65.. 27.6243093922652*x186*x253 - 27.6243093922652*x214*x225 - 
      27.6243093922652*x225*x214 + 27.6243093922652*x253*x186 + x64 =E= 0;

e66.. 10.7238605898123*x194*x197 - 21.4477211796247*sqr(x194) - 
      115.281501340483*x194*x236 + 10.7238605898123*x197*x194 + 
      115.281501340483*x197*x233 + 115.281501340483*x233*x197 - 
      21.4477211796247*sqr(x233) + 10.7238605898123*x233*x236 - 
      115.281501340483*x236*x194 + 10.7238605898123*x236*x233 + x65 =E= 0;

e67.. 10.7238605898123*x194*x197 + 115.281501340483*x194*x236 + 
      10.7238605898123*x197*x194 - 21.4477211796247*sqr(x197) - 
      115.281501340483*x197*x233 - 115.281501340483*x233*x197 + 
      10.7238605898123*x233*x236 + 115.281501340483*x236*x194 + 
      10.7238605898123*x236*x233 - 21.4477211796247*sqr(x236) + x66 =E= 0;

e68.. 14.7058823529412*x189*x190 - 29.4117647058824*sqr(x189) - 
      191.176470588235*x189*x229 + 14.7058823529412*x190*x189 + 
      191.176470588235*x190*x228 + 191.176470588235*x228*x190 - 
      29.4117647058824*sqr(x228) + 14.7058823529412*x228*x229 - 
      191.176470588235*x229*x189 + 14.7058823529412*x229*x228 + x67 =E= 0;

e69.. 14.7058823529412*x189*x190 + 191.176470588235*x189*x229 + 
      14.7058823529412*x190*x189 - 29.4117647058824*sqr(x190) - 
      191.176470588235*x190*x228 - 191.176470588235*x228*x190 + 
      14.7058823529412*x228*x229 + 191.176470588235*x229*x189 + 
      14.7058823529412*x229*x228 - 29.4117647058824*sqr(x229) + x68 =E= 0;

e70.. 4.29799426934097*x200*x208 - 8.59598853868195*sqr(x200) - 
      84.5272206303725*x200*x247 + 4.29799426934097*x208*x200 + 
      84.5272206303725*x208*x239 + 84.5272206303725*x239*x208 - 
      8.59598853868195*sqr(x239) + 4.29799426934097*x239*x247 - 
      84.5272206303725*x247*x200 + 4.29799426934097*x247*x239 + x69 =E= 0;

e71.. 4.29799426934097*x200*x208 + 84.5272206303725*x200*x247 + 
      4.29799426934097*x208*x200 - 8.59598853868195*sqr(x208) - 
      84.5272206303725*x208*x239 - 84.5272206303725*x239*x208 + 
      4.29799426934097*x239*x247 + 84.5272206303725*x247*x200 + 
      4.29799426934097*x247*x239 - 8.59598853868195*sqr(x247) + x70 =E= 0;

e72.. 0.556999628666914*x209*x221 - 1.11399925733383*sqr(x209) - 
      21.5373189751207*x209*x260 + 0.556999628666914*x221*x209 + 
      21.5373189751207*x221*x248 + 21.5373189751207*x248*x221 - 
      1.11399925733383*sqr(x248) + 0.556999628666914*x248*x260 - 
      21.5373189751207*x260*x209 + 0.556999628666914*x260*x248 + x71 =E= 0;

e73.. 0.556999628666914*x209*x221 + 21.5373189751207*x209*x260 + 
      0.556999628666914*x221*x209 - 1.11399925733383*sqr(x221) - 
      21.5373189751207*x221*x248 - 21.5373189751207*x248*x221 + 
      0.556999628666914*x248*x260 + 21.5373189751207*x260*x209 + 
      0.556999628666914*x260*x248 - 1.11399925733383*sqr(x260) + x72 =E= 0;

e74.. 1.63934426229508*x213*x222 - 3.27868852459016*sqr(x213) - 
      31.9672131147541*x213*x261 + 1.63934426229508*x222*x213 + 
      31.9672131147541*x222*x252 + 31.9672131147541*x252*x222 - 
      3.27868852459016*sqr(x252) + 1.63934426229508*x252*x261 - 
      31.9672131147541*x261*x213 + 1.63934426229508*x261*x252 + x73 =E= 0;

e75.. 1.63934426229508*x213*x222 + 31.9672131147541*x213*x261 + 
      1.63934426229508*x222*x213 - 3.27868852459016*sqr(x222) - 
      31.9672131147541*x222*x252 - 31.9672131147541*x252*x222 + 
      1.63934426229508*x252*x261 + 31.9672131147541*x261*x213 + 
      1.63934426229508*x261*x252 - 3.27868852459016*sqr(x261) + x74 =E= 0;

e76.. 1.8982135701179*x198*x199 - 3.7964271402358*sqr(x198) - 22.8840191508658*
      x198*x238 + 1.8982135701179*x199*x198 + 22.8840191508658*x199*x237 + 
      22.8840191508658*x237*x199 - 3.7964271402358*sqr(x237) + 1.8982135701179*
      x237*x238 - 22.8840191508658*x238*x198 + 1.8982135701179*x238*x237 + x75
       =E= 0;

e77.. 1.8982135701179*x198*x199 + 22.8840191508658*x198*x238 + 1.8982135701179*
      x199*x198 - 3.7964271402358*sqr(x199) - 22.8840191508658*x199*x237 - 
      22.8840191508658*x237*x199 + 1.8982135701179*x237*x238 + 22.8840191508658
      *x238*x198 + 1.8982135701179*x238*x237 - 3.7964271402358*sqr(x238) + x76
       =E= 0;

e78.. 0.337796754448783*x207*x220 - 0.675593508897567*sqr(x207) - 
      18.3761434420138*x207*x259 + 0.337796754448783*x220*x207 + 
      18.3761434420138*x220*x246 + 18.3761434420138*x246*x220 - 
      0.675593508897567*sqr(x246) + 0.337796754448783*x246*x259 - 
      18.3761434420138*x259*x207 + 0.337796754448783*x259*x246 + x77 =E= 0;

e79.. 0.337796754448783*x207*x220 + 18.3761434420138*x207*x259 + 
      0.337796754448783*x220*x207 - 0.675593508897567*sqr(x220) - 
      18.3761434420138*x220*x246 - 18.3761434420138*x246*x220 + 
      0.337796754448783*x246*x259 + 18.3761434420138*x259*x207 + 
      0.337796754448783*x259*x246 - 0.675593508897567*sqr(x259) + x78 =E= 0;

e80.. 0.723581653015939*x210*x213 - 1.44716330603188*sqr(x210) - 
      7.93400935324495*x210*x252 + 0.723581653015939*x213*x210 + 
      7.93400935324495*x213*x249 + 7.93400935324495*x249*x213 - 
      1.44716330603188*sqr(x249) + 0.723581653015939*x249*x252 - 
      7.93400935324495*x252*x210 + 0.723581653015939*x252*x249 + x79 =E= 0;

e81.. 0.723581653015939*x210*x213 + 7.93400935324495*x210*x252 + 
      0.723581653015939*x213*x210 - 1.44716330603188*sqr(x213) - 
      7.93400935324495*x213*x249 - 7.93400935324495*x249*x213 + 
      0.723581653015939*x249*x252 + 7.93400935324495*x252*x210 + 
      0.723581653015939*x252*x249 - 1.44716330603188*sqr(x252) + x80 =E= 0;

e82.. 1.73155889773908*x203*x217 - 3.46311779547816*sqr(x203) - 
      35.1259090684213*x203*x256 + 1.73155889773908*x217*x203 + 
      35.1259090684213*x217*x242 + 35.1259090684213*x242*x217 - 
      3.46311779547816*sqr(x242) + 1.73155889773908*x242*x256 - 
      35.1259090684213*x256*x203 + 1.73155889773908*x256*x242 + x81 =E= 0;

e83.. 1.73155889773908*x203*x217 + 35.1259090684213*x203*x256 + 
      1.73155889773908*x217*x203 - 3.46311779547816*sqr(x217) - 
      35.1259090684213*x217*x242 - 35.1259090684213*x242*x217 + 
      1.73155889773908*x242*x256 + 35.1259090684213*x256*x203 + 
      1.73155889773908*x256*x242 - 3.46311779547816*sqr(x256) + x82 =E= 0;

e84.. 2.39449266686621*x188*x198 - 4.78898533373242*sqr(x188) - 
      38.6111942532176*x188*x237 + 2.39449266686621*x198*x188 + 
      38.6111942532176*x198*x227 + 38.6111942532176*x227*x198 - 
      4.78898533373242*sqr(x227) + 2.39449266686621*x227*x237 - 
      38.6111942532176*x237*x188 + 2.39449266686621*x237*x227 + x83 =E= 0;

e85.. 2.39449266686621*x188*x198 + 38.6111942532176*x188*x237 + 
      2.39449266686621*x198*x188 - 4.78898533373242*sqr(x198) - 
      38.6111942532176*x198*x227 - 38.6111942532176*x227*x198 + 
      2.39449266686621*x227*x237 + 38.6111942532176*x237*x188 + 
      2.39449266686621*x237*x227 - 4.78898533373242*sqr(x237) + x84 =E= 0;

e86.. 10.7238605898123*x194*x195 - 21.4477211796247*sqr(x194) - 
      115.281501340483*x194*x234 + 10.7238605898123*x195*x194 + 
      115.281501340483*x195*x233 + 115.281501340483*x233*x195 - 
      21.4477211796247*sqr(x233) + 10.7238605898123*x233*x234 - 
      115.281501340483*x234*x194 + 10.7238605898123*x234*x233 + x85 =E= 0;

e87.. 10.7238605898123*x194*x195 + 115.281501340483*x194*x234 + 
      10.7238605898123*x195*x194 - 21.4477211796247*sqr(x195) - 
      115.281501340483*x195*x233 - 115.281501340483*x233*x195 + 
      10.7238605898123*x233*x234 + 115.281501340483*x234*x194 + 
      10.7238605898123*x234*x233 - 21.4477211796247*sqr(x234) + x86 =E= 0;

e88.. 28.4645413142485*x186*x209 - 56.9290826284971*sqr(x186) - 
      34.9707221860768*x186*x248 + 28.4645413142485*x209*x186 + 
      34.9707221860768*x209*x225 + 34.9707221860768*x225*x209 - 
      56.9290826284971*sqr(x225) + 28.4645413142485*x225*x248 - 
      34.9707221860768*x248*x186 + 28.4645413142485*x248*x225 + x87 =E= 0;

e89.. 28.4645413142485*x186*x209 + 34.9707221860768*x186*x248 + 
      28.4645413142485*x209*x186 - 56.9290826284971*sqr(x209) - 
      34.9707221860768*x209*x225 - 34.9707221860768*x225*x209 + 
      28.4645413142485*x225*x248 + 34.9707221860768*x248*x186 + 
      28.4645413142485*x248*x225 - 56.9290826284971*sqr(x248) + x88 =E= 0;

e90.. 9.38086303939963*x191*x192 - 18.7617260787993*sqr(x191) - 
      107.879924953096*x191*x231 + 9.38086303939963*x192*x191 + 
      107.879924953096*x192*x230 + 107.879924953096*x230*x192 - 
      18.7617260787993*sqr(x230) + 9.38086303939963*x230*x231 - 
      107.879924953096*x231*x191 + 9.38086303939963*x231*x230 + x89 =E= 0;

e91.. 9.38086303939963*x191*x192 + 107.879924953096*x191*x231 + 
      9.38086303939963*x192*x191 - 18.7617260787993*sqr(x192) - 
      107.879924953096*x192*x230 - 107.879924953096*x230*x192 + 
      9.38086303939963*x230*x231 + 107.879924953096*x231*x191 + 
      9.38086303939963*x231*x230 - 18.7617260787993*sqr(x231) + x90 =E= 0;

e92.. 0.94912261339808*x210*x212 - 1.89824522679616*sqr(x210) - 
      10.4624213662951*x210*x251 + 0.94912261339808*x212*x210 + 
      10.4624213662951*x212*x249 + 10.4624213662951*x249*x212 - 
      1.89824522679616*sqr(x249) + 0.94912261339808*x249*x251 - 
      10.4624213662951*x251*x210 + 0.94912261339808*x251*x249 + x91 =E= 0;

e93.. 0.94912261339808*x210*x212 + 10.4624213662951*x210*x251 + 
      0.94912261339808*x212*x210 - 1.89824522679616*sqr(x212) - 
      10.4624213662951*x212*x249 - 10.4624213662951*x249*x212 + 
      0.94912261339808*x249*x251 + 10.4624213662951*x251*x210 + 
      0.94912261339808*x251*x249 - 1.89824522679616*sqr(x251) + x92 =E= 0;

e94.. 11.4787234603997*x196*x197 - 22.9574469207994*sqr(x196) + 
      0.422205920382519*x196*x236 + 11.4787234603997*x197*x196 - 
      0.422205920382519*x197*x235 - 0.422205920382519*x235*x197 - 
      22.9574469207994*sqr(x235) + 11.4787234603997*x235*x236 + 
      0.422205920382519*x236*x196 + 11.4787234603997*x236*x235 + x93 =E= 0;

e95.. 11.4787234603997*x196*x197 - 0.422205920382519*x196*x236 + 
      11.4787234603997*x197*x196 - 22.9574469207994*sqr(x197) + 
      0.422205920382519*x197*x235 + 0.422205920382519*x235*x197 + 
      11.4787234603997*x235*x236 - 0.422205920382519*x236*x196 + 
      11.4787234603997*x236*x235 - 22.9574469207994*sqr(x236) + x94 =E= 0;

e96.. 44.4162436548223*x189*x192 - 88.7586873096447*sqr(x189) + 
      3.17258883248731*x189*x231 + 44.4162436548223*x192*x189 - 
      3.17258883248731*x192*x228 - 3.17258883248731*x228*x192 - 
      88.7586873096447*sqr(x228) + 44.4162436548223*x228*x231 + 
      3.17258883248731*x231*x189 + 44.4162436548223*x231*x228 + x95 =E= 0;

e97.. 44.4162436548223*x189*x192 - 3.17258883248731*x189*x231 + 
      44.4162436548223*x192*x189 - 88.7586873096447*sqr(x192) + 
      3.17258883248731*x192*x228 + 3.17258883248731*x228*x192 + 
      44.4162436548223*x228*x231 - 3.17258883248731*x231*x189 + 
      44.4162436548223*x231*x228 - 88.7586873096447*sqr(x231) + x96 =E= 0;

e98.. 55.8343789209536*x200*x201 - 111.601657841907*sqr(x200) + 
      4.39146800501882*x200*x240 + 55.8343789209536*x201*x200 - 
      4.39146800501882*x201*x239 - 4.39146800501882*x239*x201 - 
      111.601657841907*sqr(x239) + 55.8343789209536*x239*x240 + 
      4.39146800501882*x240*x200 + 55.8343789209536*x240*x239 + x97 =E= 0;

e99.. 55.8343789209536*x200*x201 - 4.39146800501882*x200*x240 + 
      55.8343789209536*x201*x200 - 111.601657841907*sqr(x201) + 
      4.39146800501882*x201*x239 + 4.39146800501882*x239*x201 + 
      55.8343789209536*x239*x240 - 4.39146800501882*x240*x200 + 
      55.8343789209536*x240*x239 - 111.601657841907*sqr(x240) + x98 =E= 0;

e100.. 20*x190*x215 - 40*sqr(x190) + 20*x215*x190 - 40*sqr(x229) + 20*x229*x254
        + 20*x254*x229 + x99 =E= 0;

e101.. 20*x190*x215 + 20*x215*x190 - 40*sqr(x215) + 20*x229*x254 + 20*x254*x229
        - 40*sqr(x254) + x100 =E= 0;

e102.. 54.1176470588235*x190*x191 - 108.178794117647*sqr(x190) + 
       3.52941176470588*x190*x230 + 54.1176470588235*x191*x190 - 
       3.52941176470588*x191*x229 - 3.52941176470588*x229*x191 - 
       108.178794117647*sqr(x229) + 54.1176470588235*x229*x230 + 
       3.52941176470588*x230*x190 + 54.1176470588235*x230*x229 + x101 =E= 0;

e103.. 54.1176470588235*x190*x191 - 3.52941176470588*x190*x230 + 
       54.1176470588235*x191*x190 - 108.178794117647*sqr(x191) + 
       3.52941176470588*x191*x229 + 3.52941176470588*x229*x191 + 
       54.1176470588235*x229*x230 - 3.52941176470588*x230*x190 + 
       54.1176470588235*x230*x229 - 108.178794117647*sqr(x230) + x102 =E= 0;

e104.. 19.9680511182109*x185*x223 - 39.5611022364217*sqr(x185) + 
       0.798722044728434*x185*x262 + 19.9680511182109*x223*x185 - 
       0.798722044728434*x223*x224 - 0.798722044728434*x224*x223 - 
       39.5611022364217*sqr(x224) + 19.9680511182109*x224*x262 + 
       0.798722044728434*x262*x185 + 19.9680511182109*x262*x224 + x103 =E= 0;

e105.. 19.9680511182109*x185*x223 - 0.798722044728434*x185*x262 + 
       19.9680511182109*x223*x185 - 39.5611022364217*sqr(x223) + 
       0.798722044728434*x223*x224 + 0.798722044728434*x224*x223 + 
       19.9680511182109*x224*x262 - 0.798722044728434*x262*x185 + 
       19.9680511182109*x262*x224 - 39.5611022364217*sqr(x262) + x104 =E= 0;

e106.. 33.7078651685393*x210*x211 - 67.2959303370787*sqr(x210) + 
       3.21027287319422*x210*x250 + 33.7078651685393*x211*x210 - 
       3.21027287319422*x211*x249 - 3.21027287319422*x249*x211 - 
       67.2959303370787*sqr(x249) + 33.7078651685393*x249*x250 + 
       3.21027287319422*x250*x210 + 33.7078651685393*x250*x249 + x105 =E= 0;

e107.. 33.7078651685393*x210*x211 - 3.21027287319422*x210*x250 + 
       33.7078651685393*x211*x210 - 67.2959303370787*sqr(x211) + 
       3.21027287319422*x211*x249 + 3.21027287319422*x249*x211 + 
       33.7078651685393*x249*x250 - 3.21027287319422*x250*x210 + 
       33.7078651685393*x250*x249 - 67.2959303370787*sqr(x250) + x106 =E= 0;

e108.. 25*x194*x216 - 50*sqr(x194) + 25*x216*x194 - 50*sqr(x233) + 25*x233*x255
        + 25*x255*x233 + x107 =E= 0;

e109.. 25*x194*x216 + 25*x216*x194 - 50*sqr(x216) + 25*x233*x255 + 25*x255*x233
        - 50*sqr(x255) + x108 =E= 0;

e110.. 12.0778625415819*x185*x186 - 23.8063750831639*sqr(x185) + 
       1.0285284402807*x185*x225 + 12.0778625415819*x186*x185 - 1.0285284402807
       *x186*x224 - 1.0285284402807*x224*x186 - 23.8063750831639*sqr(x224) + 
       12.0778625415819*x224*x225 + 1.0285284402807*x225*x185 + 
       12.0778625415819*x225*x224 + x109 =E= 0;

e111.. 12.0778625415819*x185*x186 - 1.0285284402807*x185*x225 + 
       12.0778625415819*x186*x185 - 23.8063750831639*sqr(x186) + 
       1.0285284402807*x186*x224 + 1.0285284402807*x224*x186 + 12.0778625415819
       *x224*x225 - 1.0285284402807*x225*x185 + 12.0778625415819*x225*x224 - 
       23.8063750831639*sqr(x225) + x110 =E= 0;

e112.. 23.3870613553516*x187*x188 - 46.6634227107032*sqr(x187) + 
       1.42737933154728*x187*x227 + 23.3870613553516*x188*x187 - 
       1.42737933154728*x188*x226 - 1.42737933154728*x226*x188 - 
       46.6634227107032*sqr(x226) + 23.3870613553516*x226*x227 + 
       1.42737933154728*x227*x187 + 23.3870613553516*x227*x226 + x111 =E= 0;

e113.. 23.3870613553516*x187*x188 - 1.42737933154728*x187*x227 + 
       23.3870613553516*x188*x187 - 46.6634227107032*sqr(x188) + 
       1.42737933154728*x188*x226 + 1.42737933154728*x226*x188 + 
       23.3870613553516*x226*x227 - 1.42737933154728*x227*x187 + 
       23.3870613553516*x227*x226 - 46.6634227107032*sqr(x227) + x112 =E= 0;

e114.. 34.965034965035*x206*x219 - 69.9300699300699*sqr(x206) + 34.965034965035
       *x219*x206 - 69.9300699300699*sqr(x245) + 34.965034965035*x245*x258 + 
       34.965034965035*x258*x245 + x113 =E= 0;

e115.. 34.965034965035*x206*x219 + 34.965034965035*x219*x206 - 69.9300699300699
       *sqr(x219) + 34.965034965035*x245*x258 + 34.965034965035*x258*x245 - 
       69.9300699300699*sqr(x258) + x114 =E= 0;

e116.. 32.8689595124075*x186*x187 - 65.609319024815*sqr(x186) + 
       2.82977797126687*x186*x226 + 32.8689595124075*x187*x186 - 
       2.82977797126687*x187*x225 - 2.82977797126687*x225*x187 - 
       65.609319024815*sqr(x225) + 32.8689595124075*x225*x226 + 
       2.82977797126687*x226*x186 + 32.8689595124075*x226*x225 + x115 =E= 0;

e117.. 32.8689595124075*x186*x187 - 2.82977797126687*x186*x226 + 
       32.8689595124075*x187*x186 - 65.609319024815*sqr(x187) + 
       2.82977797126687*x187*x225 + 2.82977797126687*x225*x187 + 
       32.8689595124075*x225*x226 - 2.82977797126687*x226*x186 + 
       32.8689595124075*x226*x225 - 65.609319024815*sqr(x226) + x116 =E= 0;

e118.. 14.2294932674169*x207*x208 - 28.2784865348338*sqr(x207) + 
       0.894425291094776*x207*x247 + 14.2294932674169*x208*x207 - 
       0.894425291094776*x208*x246 - 0.894425291094776*x246*x208 - 
       28.2784865348338*sqr(x246) + 14.2294932674169*x246*x247 + 
       0.894425291094776*x247*x207 + 14.2294932674169*x247*x246 + x117 =E= 0;

e119.. 14.2294932674169*x207*x208 - 0.894425291094776*x207*x247 + 
       14.2294932674169*x208*x207 - 28.2784865348338*sqr(x208) + 
       0.894425291094776*x208*x246 + 0.894425291094776*x246*x208 + 
       14.2294932674169*x246*x247 - 0.894425291094776*x247*x207 + 
       14.2294932674169*x247*x246 - 28.2784865348338*sqr(x247) + x118 =E= 0;

e120.. 32.8303691785885*x212*x213 - 65.536238357177*sqr(x212) + 
       3.04387528808105*x212*x252 + 32.8303691785885*x213*x212 - 
       3.04387528808105*x213*x251 - 3.04387528808105*x251*x213 - 
       65.536238357177*sqr(x251) + 32.8303691785885*x251*x252 + 
       3.04387528808105*x252*x212 + 32.8303691785885*x252*x251 + x119 =E= 0;

e121.. 32.8303691785885*x212*x213 - 3.04387528808105*x212*x252 + 
       32.8303691785885*x213*x212 - 65.536238357177*sqr(x213) + 
       3.04387528808105*x213*x251 + 3.04387528808105*x251*x213 + 
       32.8303691785885*x251*x252 - 3.04387528808105*x252*x212 + 
       32.8303691785885*x252*x251 - 65.536238357177*sqr(x252) + x120 =E= 0;

e122.. 27.708506511499*x204*x218 - 55.4170130229981*sqr(x204) + 
       1.38542532557495*x204*x257 + 27.708506511499*x218*x204 - 
       1.38542532557495*x218*x243 - 1.38542532557495*x243*x218 - 
       55.4170130229981*sqr(x243) + 27.708506511499*x243*x257 + 
       1.38542532557495*x257*x204 + 27.708506511499*x257*x243 + x121 =E= 0;

e123.. 27.708506511499*x204*x218 - 1.38542532557495*x204*x257 + 27.708506511499
       *x218*x204 - 55.4170130229981*sqr(x218) + 1.38542532557495*x218*x243 + 
       1.38542532557495*x243*x218 + 27.708506511499*x243*x257 - 
       1.38542532557495*x257*x204 + 27.708506511499*x257*x243 - 
       55.4170130229981*sqr(x257) + x122 =E= 0;

e124.. 13.7190282543954*x192*x193 - 27.2478565087908*sqr(x192) + 
       0.869249724107696*x192*x232 + 13.7190282543954*x193*x192 - 
       0.869249724107696*x193*x231 - 0.869249724107696*x231*x193 - 
       27.2478565087908*sqr(x231) + 13.7190282543954*x231*x232 + 
       0.869249724107696*x232*x192 + 13.7190282543954*x232*x231 + x123 =E= 0;

e125.. 13.7190282543954*x192*x193 - 0.869249724107696*x192*x232 + 
       13.7190282543954*x193*x192 - 27.2478565087908*sqr(x193) + 
       0.869249724107696*x193*x231 + 0.869249724107696*x231*x193 + 
       13.7190282543954*x231*x232 - 0.869249724107696*x232*x192 + 
       13.7190282543954*x232*x231 - 27.2478565087908*sqr(x232) + x124 =E= 0;

e126.. 28.7394511263207*x201*x211 - 57.3181022526414*sqr(x201) + 
       2.1596119343478*x201*x250 + 28.7394511263207*x211*x201 - 2.1596119343478
       *x211*x240 - 2.1596119343478*x240*x211 - 57.3181022526414*sqr(x240) + 
       28.7394511263207*x240*x250 + 2.1596119343478*x250*x201 + 
       28.7394511263207*x250*x240 + x125 =E= 0;

e127.. 28.7394511263207*x201*x211 - 2.1596119343478*x201*x250 + 
       28.7394511263207*x211*x201 - 57.3181022526414*sqr(x211) + 
       2.1596119343478*x211*x240 + 2.1596119343478*x240*x211 + 28.7394511263207
       *x240*x250 - 2.1596119343478*x250*x201 + 28.7394511263207*x250*x240 - 
       57.3181022526414*sqr(x250) + x126 =E= 0;

e128.. 35.5980471928397*x205*x206 - 71.0678443856794*sqr(x205) + 
       2.03417412530513*x205*x245 + 35.5980471928397*x206*x205 - 
       2.03417412530513*x206*x244 - 2.03417412530513*x244*x206 - 
       71.0678443856794*sqr(x244) + 35.5980471928397*x244*x245 + 
       2.03417412530513*x245*x205 + 35.5980471928397*x245*x244 + x127 =E= 0;

e129.. 35.5980471928397*x205*x206 - 2.03417412530513*x205*x245 + 
       35.5980471928397*x206*x205 - 71.0678443856794*sqr(x206) + 
       2.03417412530513*x206*x244 + 2.03417412530513*x244*x206 + 
       35.5980471928397*x244*x245 - 2.03417412530513*x245*x205 + 
       35.5980471928397*x245*x244 - 71.0678443856794*sqr(x245) + x128 =E= 0;

e130.. 60.5344751218072*x190*x195 - 120.999500243614*sqr(x190) + 
       5.16757714454451*x190*x234 + 60.5344751218072*x195*x190 - 
       5.16757714454451*x195*x229 - 5.16757714454451*x229*x195 - 
       120.999500243614*sqr(x229) + 60.5344751218072*x229*x234 + 
       5.16757714454451*x234*x190 + 60.5344751218072*x234*x229 + x129 =E= 0;

e131.. 60.5344751218072*x190*x195 - 5.16757714454451*x190*x234 + 
       60.5344751218072*x195*x190 - 120.999500243614*sqr(x195) + 
       5.16757714454451*x195*x229 + 5.16757714454451*x229*x195 + 
       60.5344751218072*x229*x234 - 5.16757714454451*x234*x190 + 
       60.5344751218072*x234*x229 - 120.999500243614*sqr(x234) + x130 =E= 0;

e132.. 37.3385738349242*x187*x202 - 74.5702476698484*sqr(x187) + 
       3.08815272318922*x187*x241 + 37.3385738349242*x202*x187 - 
       3.08815272318922*x202*x226 - 3.08815272318922*x226*x202 - 
       74.5702476698484*sqr(x226) + 37.3385738349242*x226*x241 + 
       3.08815272318922*x241*x187 + 37.3385738349242*x241*x226 + x131 =E= 0;

e133.. 37.3385738349242*x187*x202 - 3.08815272318922*x187*x241 + 
       37.3385738349242*x202*x187 - 74.5702476698484*sqr(x202) + 
       3.08815272318922*x202*x226 + 3.08815272318922*x226*x202 + 
       37.3385738349242*x226*x241 - 3.08815272318922*x241*x187 + 
       37.3385738349242*x241*x226 - 74.5702476698484*sqr(x241) + x132 =E= 0;

e134.. 25.4695540868838*x200*x203 - 50.7871081737677*sqr(x200) + 
       2.08980956610329*x200*x242 + 25.4695540868838*x203*x200 - 
       2.08980956610329*x203*x239 - 2.08980956610329*x239*x203 - 
       50.7871081737677*sqr(x239) + 25.4695540868838*x239*x242 + 
       2.08980956610329*x242*x200 + 25.4695540868838*x242*x239 + x133 =E= 0;

e135.. 25.4695540868838*x200*x203 - 2.08980956610329*x200*x242 + 
       25.4695540868838*x203*x200 - 50.7871081737677*sqr(x203) + 
       2.08980956610329*x203*x239 + 2.08980956610329*x239*x203 + 
       25.4695540868838*x239*x242 - 2.08980956610329*x242*x200 + 
       25.4695540868838*x242*x239 - 50.7871081737677*sqr(x242) + x134 =E= 0;

e136.. 36.1388990729587*x203*x204 - 72.2777981459174*sqr(x203) + 
       1.83313256167182*x203*x243 + 36.1388990729587*x204*x203 - 
       1.83313256167182*x204*x242 - 1.83313256167182*x242*x204 - 
       72.2777981459174*sqr(x242) + 36.1388990729587*x242*x243 + 
       1.83313256167182*x243*x203 + 36.1388990729587*x243*x242 + x135 =E= 0;

e137.. 36.1388990729587*x203*x204 - 1.83313256167182*x203*x243 + 
       36.1388990729587*x204*x203 - 72.2777981459174*sqr(x204) + 
       1.83313256167182*x204*x242 + 1.83313256167182*x242*x204 + 
       36.1388990729587*x242*x243 - 1.83313256167182*x243*x203 + 
       36.1388990729587*x243*x242 - 72.2777981459174*sqr(x243) + x136 =E= 0;

e138.. 15.3294163431511*x209*x210 - 30.3933326863022*sqr(x209) + 
       1.51870378631838*x209*x249 + 15.3294163431511*x210*x209 - 
       1.51870378631838*x210*x248 - 1.51870378631838*x248*x210 - 
       30.3933326863022*sqr(x248) + 15.3294163431511*x248*x249 + 
       1.51870378631838*x249*x209 + 15.3294163431511*x249*x248 + x137 =E= 0;

e139.. 15.3294163431511*x209*x210 - 1.51870378631838*x209*x249 + 
       15.3294163431511*x210*x209 - 30.3933326863022*sqr(x210) + 
       1.51870378631838*x210*x248 + 1.51870378631838*x248*x210 + 
       15.3294163431511*x248*x249 - 1.51870378631838*x249*x209 + 
       15.3294163431511*x249*x248 - 30.3933326863022*sqr(x249) + x138 =E= 0;

e140.. 52.7083099697208*x199*x200 - 105.331119939442*sqr(x199) + 
       5.04654031624986*x199*x239 + 52.7083099697208*x200*x199 - 
       5.04654031624986*x200*x238 - 5.04654031624986*x238*x200 - 
       105.331119939442*sqr(x238) + 52.7083099697208*x238*x239 + 
       5.04654031624986*x239*x199 + 52.7083099697208*x239*x238 + x139 =E= 0;

e141.. 52.7083099697208*x199*x200 - 5.04654031624986*x199*x239 + 
       52.7083099697208*x200*x199 - 105.331119939442*sqr(x200) + 
       5.04654031624986*x200*x238 + 5.04654031624986*x238*x200 + 
       52.7083099697208*x238*x239 - 5.04654031624986*x239*x199 + 
       52.7083099697208*x239*x238 - 105.331119939442*sqr(x239) + x140 =E= 0;

e142.. 11.4787234603997*x195*x196 - 0.422205920382519*x195*x235 + 
       11.4787234603997*x196*x195 - 22.9574469207994*sqr(x196) + 
       0.422205920382519*x196*x234 + 0.422205920382519*x234*x196 + 
       11.4787234603997*x234*x235 - 0.422205920382519*x235*x195 + 
       11.4787234603997*x235*x234 - 22.9574469207994*sqr(x235) + x141 =E= 0;

e143.. 11.4787234603997*x195*x196 - 22.9574469207994*sqr(x195) + 
       0.422205920382519*x195*x235 + 11.4787234603997*x196*x195 - 
       0.422205920382519*x196*x234 - 0.422205920382519*x234*x196 - 
       22.9574469207994*sqr(x234) + 11.4787234603997*x234*x235 + 
       0.422205920382519*x235*x195 + 11.4787234603997*x235*x234 + x142 =E= 0;

e144.. 60.5344751218072*x201*x202 - 121.003000243614*sqr(x201) + 
       5.16757714454451*x201*x241 + 60.5344751218072*x202*x201 - 
       5.16757714454451*x202*x240 - 5.16757714454451*x240*x202 - 
       121.003000243614*sqr(x240) + 60.5344751218072*x240*x241 + 
       5.16757714454451*x241*x201 + 60.5344751218072*x241*x240 + x143 =E= 0;

e145.. 60.5344751218072*x201*x202 - 5.16757714454451*x201*x241 + 
       60.5344751218072*x202*x201 - 121.003000243614*sqr(x202) + 
       5.16757714454451*x202*x240 + 5.16757714454451*x240*x202 + 
       60.5344751218072*x240*x241 - 5.16757714454451*x241*x201 + 
       60.5344751218072*x241*x240 - 121.003000243614*sqr(x241) + x144 =E= 0;

e146.. 38.9105058365759*x188*x189 - 77.7539116731518*sqr(x188) + 
       2.43190661478599*x188*x228 + 38.9105058365759*x189*x188 - 
       2.43190661478599*x189*x227 - 2.43190661478599*x227*x189 - 
       77.7539116731518*sqr(x227) + 38.9105058365759*x227*x228 + 
       2.43190661478599*x228*x188 + 38.9105058365759*x228*x227 + x145 =E= 0;

e147.. 38.9105058365759*x188*x189 - 2.43190661478599*x188*x228 + 
       38.9105058365759*x189*x188 - 77.7539116731518*sqr(x189) + 
       2.43190661478599*x189*x227 + 2.43190661478599*x227*x189 + 
       38.9105058365759*x227*x228 - 2.43190661478599*x228*x188 + 
       38.9105058365759*x228*x227 - 77.7539116731518*sqr(x228) + x146 =E= 0;

e148.. 36.9074306960468*x200*x205 - 73.6874613920936*sqr(x200) + 
       2.18710700421018*x200*x244 + 36.9074306960468*x205*x200 - 
       2.18710700421018*x205*x239 - 2.18710700421018*x239*x205 - 
       73.6874613920936*sqr(x239) + 36.9074306960468*x239*x244 + 
       2.18710700421018*x244*x200 + 36.9074306960468*x244*x239 + x147 =E= 0;

e149.. 36.9074306960468*x200*x205 - 2.18710700421018*x200*x244 + 
       36.9074306960468*x205*x200 - 73.6874613920936*sqr(x205) + 
       2.18710700421018*x205*x239 + 2.18710700421018*x239*x205 + 
       36.9074306960468*x239*x244 - 2.18710700421018*x244*x200 + 
       36.9074306960468*x244*x239 - 73.6874613920936*sqr(x244) + x148 =E= 0;

e150.. 19.9680511182109*x193*x223 - 39.3361022364217*sqr(x193) + 
       0.798722044728434*x193*x262 + 19.9680511182109*x223*x193 - 
       0.798722044728434*x223*x232 - 0.798722044728434*x232*x223 - 
       39.3361022364217*sqr(x232) + 19.9680511182109*x232*x262 + 
       0.798722044728434*x262*x193 + 19.9680511182109*x262*x232 + x149 =E= 0;

e151.. 19.9680511182109*x193*x223 - 0.798722044728434*x193*x262 + 
       19.9680511182109*x223*x193 - 39.3361022364217*sqr(x223) + 
       0.798722044728434*x223*x232 + 0.798722044728434*x232*x223 + 
       19.9680511182109*x232*x262 - 0.798722044728434*x262*x193 + 
       19.9680511182109*x262*x232 - 39.3361022364217*sqr(x262) + x150 =E= 0;

e152.. 51.8806744487678*x206*x207 - 103.669048897536*sqr(x206) + 
       3.24254215304799*x206*x246 + 51.8806744487678*x207*x206 - 
       3.24254215304799*x207*x245 - 3.24254215304799*x245*x207 - 
       103.669048897536*sqr(x245) + 51.8806744487678*x245*x246 + 
       3.24254215304799*x246*x206 + 51.8806744487678*x246*x245 + x151 =E= 0;

e153.. 51.8806744487678*x206*x207 - 3.24254215304799*x206*x246 + 
       51.8806744487678*x207*x206 - 103.669048897536*sqr(x207) + 
       3.24254215304799*x207*x245 + 3.24254215304799*x245*x207 + 
       51.8806744487678*x245*x246 - 3.24254215304799*x246*x206 + 
       51.8806744487678*x246*x245 - 103.669048897536*sqr(x246) + x152 =E= 0;

e154.. 49.1149581793425*x197*x198 - 98.1437663586851*sqr(x197) + 
       4.3765804318226*x197*x237 + 49.1149581793425*x198*x197 - 4.3765804318226
       *x198*x236 - 4.3765804318226*x236*x198 - 98.1437663586851*sqr(x236) + 
       49.1149581793425*x236*x237 + 4.3765804318226*x237*x197 + 
       49.1149581793425*x237*x236 + x153 =E= 0;

e155.. 49.1149581793425*x197*x198 - 4.3765804318226*x197*x237 + 
       49.1149581793425*x198*x197 - 98.1437663586851*sqr(x198) + 
       4.3765804318226*x198*x236 + 4.3765804318226*x236*x198 + 49.1149581793425
       *x236*x237 - 4.3765804318226*x237*x197 + 49.1149581793425*x237*x236 - 
       98.1437663586851*sqr(x237) + x154 =E= 0;

e156.. 27.6243093922652*x186*x214 - 55.2486187845304*sqr(x186) + 
       27.6243093922652*x214*x186 - 55.2486187845304*sqr(x225) + 
       27.6243093922652*x225*x253 + 27.6243093922652*x253*x225 + x155 =E= 0;

e157.. 27.6243093922652*x186*x214 + 27.6243093922652*x214*x186 - 
       55.2486187845304*sqr(x214) + 27.6243093922652*x225*x253 + 
       27.6243093922652*x253*x225 - 55.2486187845304*sqr(x253) + x156 =E= 0;

e158.. 115.281501340483*x194*x197 - 230.526552680965*sqr(x194) + 
       10.7238605898123*x194*x236 + 115.281501340483*x197*x194 - 
       10.7238605898123*x197*x233 - 10.7238605898123*x233*x197 - 
       230.526552680965*sqr(x233) + 115.281501340483*x233*x236 + 
       10.7238605898123*x236*x194 + 115.281501340483*x236*x233 + x157 =E= 0;

e159.. 115.281501340483*x194*x197 - 10.7238605898123*x194*x236 + 
       115.281501340483*x197*x194 - 230.526552680965*sqr(x197) + 
       10.7238605898123*x197*x233 + 10.7238605898123*x233*x197 + 
       115.281501340483*x233*x236 - 10.7238605898123*x236*x194 + 
       115.281501340483*x236*x233 - 230.526552680965*sqr(x236) + x158 =E= 0;

e160.. 191.176470588235*x189*x190 - 382.331241176471*sqr(x189) + 
       14.7058823529412*x189*x229 + 191.176470588235*x190*x189 - 
       14.7058823529412*x190*x228 - 14.7058823529412*x228*x190 - 
       382.331241176471*sqr(x228) + 191.176470588235*x228*x229 + 
       14.7058823529412*x229*x189 + 191.176470588235*x229*x228 + x159 =E= 0;

e161.. 191.176470588235*x189*x190 - 14.7058823529412*x189*x229 + 
       191.176470588235*x190*x189 - 382.331241176471*sqr(x190) + 
       14.7058823529412*x190*x228 + 14.7058823529412*x228*x190 + 
       191.176470588235*x228*x229 - 14.7058823529412*x229*x189 + 
       191.176470588235*x229*x228 - 382.331241176471*sqr(x229) + x160 =E= 0;

e162.. 84.5272206303725*x200*x208 - 169.020441260745*sqr(x200) + 
       4.29799426934097*x200*x247 + 84.5272206303725*x208*x200 - 
       4.29799426934097*x208*x239 - 4.29799426934097*x239*x208 - 
       169.020441260745*sqr(x239) + 84.5272206303725*x239*x247 + 
       4.29799426934097*x247*x200 + 84.5272206303725*x247*x239 + x161 =E= 0;

e163.. 84.5272206303725*x200*x208 - 4.29799426934097*x200*x247 + 
       84.5272206303725*x208*x200 - 169.020441260745*sqr(x208) + 
       4.29799426934097*x208*x239 + 4.29799426934097*x239*x208 + 
       84.5272206303725*x239*x247 - 4.29799426934097*x247*x200 + 
       84.5272206303725*x247*x239 - 169.020441260745*sqr(x247) + x162 =E= 0;

e164.. 21.5373189751207*x209*x221 - 43.0746379502414*sqr(x209) + 
       0.556999628666914*x209*x260 + 21.5373189751207*x221*x209 - 
       0.556999628666914*x221*x248 - 0.556999628666914*x248*x221 - 
       43.0746379502414*sqr(x248) + 21.5373189751207*x248*x260 + 
       0.556999628666914*x260*x209 + 21.5373189751207*x260*x248 + x163 =E= 0;

e165.. 21.5373189751207*x209*x221 - 0.556999628666914*x209*x260 + 
       21.5373189751207*x221*x209 - 43.0746379502414*sqr(x221) + 
       0.556999628666914*x221*x248 + 0.556999628666914*x248*x221 + 
       21.5373189751207*x248*x260 - 0.556999628666914*x260*x209 + 
       21.5373189751207*x260*x248 - 43.0746379502414*sqr(x260) + x164 =E= 0;

e166.. 31.9672131147541*x213*x222 - 63.9344262295082*sqr(x213) + 
       1.63934426229508*x213*x261 + 31.9672131147541*x222*x213 - 
       1.63934426229508*x222*x252 - 1.63934426229508*x252*x222 - 
       63.9344262295082*sqr(x252) + 31.9672131147541*x252*x261 + 
       1.63934426229508*x261*x213 + 31.9672131147541*x261*x252 + x165 =E= 0;

e167.. 31.9672131147541*x213*x222 - 1.63934426229508*x213*x261 + 
       31.9672131147541*x222*x213 - 63.9344262295082*sqr(x222) + 
       1.63934426229508*x222*x252 + 1.63934426229508*x252*x222 + 
       31.9672131147541*x252*x261 - 1.63934426229508*x261*x213 + 
       31.9672131147541*x261*x252 - 63.9344262295082*sqr(x261) + x166 =E= 0;

e168.. 22.8840191508658*x198*x199 - 45.5850383017316*sqr(x198) + 
       1.8982135701179*x198*x238 + 22.8840191508658*x199*x198 - 1.8982135701179
       *x199*x237 - 1.8982135701179*x237*x199 - 45.5850383017316*sqr(x237) + 
       22.8840191508658*x237*x238 + 1.8982135701179*x238*x198 + 
       22.8840191508658*x238*x237 + x167 =E= 0;

e169.. 22.8840191508658*x198*x199 - 1.8982135701179*x198*x238 + 
       22.8840191508658*x199*x198 - 45.5850383017316*sqr(x199) + 
       1.8982135701179*x199*x237 + 1.8982135701179*x237*x199 + 22.8840191508658
       *x237*x238 - 1.8982135701179*x238*x198 + 22.8840191508658*x238*x237 - 
       45.5850383017316*sqr(x238) + x168 =E= 0;

e170.. 18.3761434420138*x207*x220 - 36.7522868840276*sqr(x207) + 
       0.337796754448783*x207*x259 + 18.3761434420138*x220*x207 - 
       0.337796754448783*x220*x246 - 0.337796754448783*x246*x220 - 
       36.7522868840276*sqr(x246) + 18.3761434420138*x246*x259 + 
       0.337796754448783*x259*x207 + 18.3761434420138*x259*x246 + x169 =E= 0;

e171.. 18.3761434420138*x207*x220 - 0.337796754448783*x207*x259 + 
       18.3761434420138*x220*x207 - 36.7522868840276*sqr(x220) + 
       0.337796754448783*x220*x246 + 0.337796754448783*x246*x220 + 
       18.3761434420138*x246*x259 - 0.337796754448783*x259*x207 + 
       18.3761434420138*x259*x246 - 36.7522868840276*sqr(x259) + x170 =E= 0;

e172.. 7.93400935324495*x210*x213 - 15.3535187064899*sqr(x210) + 
       0.723581653015939*x210*x252 + 7.93400935324495*x213*x210 - 
       0.723581653015939*x213*x249 - 0.723581653015939*x249*x213 - 
       15.3535187064899*sqr(x249) + 7.93400935324495*x249*x252 + 
       0.723581653015939*x252*x210 + 7.93400935324495*x252*x249 + x171 =E= 0;

e173.. 7.93400935324495*x210*x213 - 0.723581653015939*x210*x252 + 
       7.93400935324495*x213*x210 - 15.3535187064899*sqr(x213) + 
       0.723581653015939*x213*x249 + 0.723581653015939*x249*x213 + 
       7.93400935324495*x249*x252 - 0.723581653015939*x252*x210 + 
       7.93400935324495*x252*x249 - 15.3535187064899*sqr(x252) + x172 =E= 0;

e174.. 35.1259090684213*x203*x217 - 70.2518181368426*sqr(x203) + 
       1.73155889773908*x203*x256 + 35.1259090684213*x217*x203 - 
       1.73155889773908*x217*x242 - 1.73155889773908*x242*x217 - 
       70.2518181368426*sqr(x242) + 35.1259090684213*x242*x256 + 
       1.73155889773908*x256*x203 + 35.1259090684213*x256*x242 + x173 =E= 0;

e175.. 35.1259090684213*x203*x217 - 1.73155889773908*x203*x256 + 
       35.1259090684213*x217*x203 - 70.2518181368426*sqr(x217) + 
       1.73155889773908*x217*x242 + 1.73155889773908*x242*x217 + 
       35.1259090684213*x242*x256 - 1.73155889773908*x256*x203 + 
       35.1259090684213*x256*x242 - 70.2518181368426*sqr(x256) + x174 =E= 0;

e176.. 38.6111942532176*x188*x198 - 77.1532885064352*sqr(x188) + 
       2.39449266686621*x188*x237 + 38.6111942532176*x198*x188 - 
       2.39449266686621*x198*x227 - 2.39449266686621*x227*x198 - 
       77.1532885064352*sqr(x227) + 38.6111942532176*x227*x237 + 
       2.39449266686621*x237*x188 + 38.6111942532176*x237*x227 + x175 =E= 0;

e177.. 38.6111942532176*x188*x198 - 2.39449266686621*x188*x237 + 
       38.6111942532176*x198*x188 - 77.1532885064352*sqr(x198) + 
       2.39449266686621*x198*x227 + 2.39449266686621*x227*x198 + 
       38.6111942532176*x227*x237 - 2.39449266686621*x237*x188 + 
       38.6111942532176*x237*x227 - 77.1532885064352*sqr(x237) + x176 =E= 0;

e178.. 115.281501340483*x194*x195 - 230.526552680965*sqr(x194) + 
       10.7238605898123*x194*x234 + 115.281501340483*x195*x194 - 
       10.7238605898123*x195*x233 - 10.7238605898123*x233*x195 - 
       230.526552680965*sqr(x233) + 115.281501340483*x233*x234 + 
       10.7238605898123*x234*x194 + 115.281501340483*x234*x233 + x177 =E= 0;

e179.. 115.281501340483*x194*x195 - 10.7238605898123*x194*x234 + 
       115.281501340483*x195*x194 - 230.526552680965*sqr(x195) + 
       10.7238605898123*x195*x233 + 10.7238605898123*x233*x195 + 
       115.281501340483*x233*x234 - 10.7238605898123*x234*x194 + 
       115.281501340483*x234*x233 - 230.526552680965*sqr(x234) + x178 =E= 0;

e180.. 34.9707221860768*x186*x209 - 69.8684443721535*sqr(x186) + 
       28.4645413142485*x186*x248 + 34.9707221860768*x209*x186 - 
       28.4645413142485*x209*x225 - 28.4645413142485*x225*x209 - 
       69.8684443721535*sqr(x225) + 34.9707221860768*x225*x248 + 
       28.4645413142485*x248*x186 + 34.9707221860768*x248*x225 + x179 =E= 0;

e181.. 34.9707221860768*x186*x209 - 28.4645413142485*x186*x248 + 
       34.9707221860768*x209*x186 - 69.8684443721535*sqr(x209) + 
       28.4645413142485*x209*x225 + 28.4645413142485*x225*x209 + 
       34.9707221860768*x225*x248 - 28.4645413142485*x248*x186 + 
       34.9707221860768*x248*x225 - 69.8684443721535*sqr(x248) + x180 =E= 0;

e182.. 107.879924953096*x191*x192 - 215.720849906191*sqr(x191) + 
       9.38086303939963*x191*x231 + 107.879924953096*x192*x191 - 
       9.38086303939963*x192*x230 - 9.38086303939963*x230*x192 - 
       215.720849906191*sqr(x230) + 107.879924953096*x230*x231 + 
       9.38086303939963*x231*x191 + 107.879924953096*x231*x230 + x181 =E= 0;

e183.. 107.879924953096*x191*x192 - 9.38086303939963*x191*x231 + 
       107.879924953096*x192*x191 - 215.720849906191*sqr(x192) + 
       9.38086303939963*x192*x230 + 9.38086303939963*x230*x192 + 
       107.879924953096*x230*x231 - 9.38086303939963*x231*x191 + 
       107.879924953096*x231*x230 - 215.720849906191*sqr(x231) + x182 =E= 0;

e184.. 10.4624213662951*x210*x212 - 20.5347427325902*sqr(x210) + 
       0.94912261339808*x210*x251 + 10.4624213662951*x212*x210 - 
       0.94912261339808*x212*x249 - 0.94912261339808*x249*x212 - 
       20.5347427325902*sqr(x249) + 10.4624213662951*x249*x251 + 
       0.94912261339808*x251*x210 + 10.4624213662951*x251*x249 + x183 =E= 0;

e185.. 10.4624213662951*x210*x212 - 0.94912261339808*x210*x251 + 
       10.4624213662951*x212*x210 - 20.5347427325902*sqr(x212) + 
       0.94912261339808*x212*x249 + 0.94912261339808*x249*x212 + 
       10.4624213662951*x249*x251 - 0.94912261339808*x251*x210 + 
       10.4624213662951*x251*x249 - 20.5347427325902*sqr(x251) + x184 =E= 0;

e186.. sqr(x1) + sqr(x93) =L= 25;

e187.. sqr(x2) + sqr(x94) =L= 25;

e188.. sqr(x3) + sqr(x95) =L= 81;

e189.. sqr(x4) + sqr(x96) =L= 81;

e190.. sqr(x5) + sqr(x97) =L= 36;

e191.. sqr(x6) + sqr(x98) =L= 36;

e192.. sqr(x7) + sqr(x99) =L= 324;

e193.. sqr(x8) + sqr(x100) =L= 324;

e194.. sqr(x9) + sqr(x101) =L= 81;

e195.. sqr(x10) + sqr(x102) =L= 81;

e196.. sqr(x11) + sqr(x103) =L= 100;

e197.. sqr(x12) + sqr(x104) =L= 100;

e198.. sqr(x13) + sqr(x105) =L= 36;

e199.. sqr(x14) + sqr(x106) =L= 36;

e200.. sqr(x15) + sqr(x107) =L= 81;

e201.. sqr(x16) + sqr(x108) =L= 81;

e202.. sqr(x17) + sqr(x109) =L= 36;

e203.. sqr(x18) + sqr(x110) =L= 36;

e204.. sqr(x19) + sqr(x111) =L= 25;

e205.. sqr(x20) + sqr(x112) =L= 25;

e206.. sqr(x21) + sqr(x113) =L= 81;

e207.. sqr(x22) + sqr(x114) =L= 81;

e208.. sqr(x23) + sqr(x115) =L= 25;

e209.. sqr(x24) + sqr(x116) =L= 25;

e210.. sqr(x25) + sqr(x117) =L= 36;

e211.. sqr(x26) + sqr(x118) =L= 36;

e212.. sqr(x27) + sqr(x119) =L= 36;

e213.. sqr(x28) + sqr(x120) =L= 36;

e214.. sqr(x29) + sqr(x121) =L= 81;

e215.. sqr(x30) + sqr(x122) =L= 81;

e216.. sqr(x31) + sqr(x123) =L= 81;

e217.. sqr(x32) + sqr(x124) =L= 81;

e218.. sqr(x33) + sqr(x125) =L= 36;

e219.. sqr(x34) + sqr(x126) =L= 36;

e220.. sqr(x35) + sqr(x127) =L= 81;

e221.. sqr(x36) + sqr(x128) =L= 81;

e222.. sqr(x37) + sqr(x129) =L= 23.04;

e223.. sqr(x38) + sqr(x130) =L= 23.04;

e224.. sqr(x39) + sqr(x131) =L= 25;

e225.. sqr(x40) + sqr(x132) =L= 25;

e226.. sqr(x41) + sqr(x133) =L= 36;

e227.. sqr(x42) + sqr(x134) =L= 36;

e228.. sqr(x43) + sqr(x135) =L= 81;

e229.. sqr(x44) + sqr(x136) =L= 81;

e230.. sqr(x45) + sqr(x137) =L= 36;

e231.. sqr(x46) + sqr(x138) =L= 36;

e232.. sqr(x47) + sqr(x139) =L= 36;

e233.. sqr(x48) + sqr(x140) =L= 36;

e234.. sqr(x49) + sqr(x141) =L= 25;

e235.. sqr(x50) + sqr(x142) =L= 25;

e236.. sqr(x51) + sqr(x143) =L= 36;

e237.. sqr(x52) + sqr(x144) =L= 36;

e238.. sqr(x53) + sqr(x145) =L= 36;

e239.. sqr(x54) + sqr(x146) =L= 36;

e240.. sqr(x55) + sqr(x147) =L= 36;

e241.. sqr(x56) + sqr(x148) =L= 36;

e242.. sqr(x57) + sqr(x149) =L= 81;

e243.. sqr(x58) + sqr(x150) =L= 81;

e244.. sqr(x59) + sqr(x151) =L= 36;

e245.. sqr(x60) + sqr(x152) =L= 36;

e246.. sqr(x61) + sqr(x153) =L= 36;

e247.. sqr(x62) + sqr(x154) =L= 36;

e248.. sqr(x63) + sqr(x155) =L= 81;

e249.. sqr(x64) + sqr(x156) =L= 81;

e250.. sqr(x65) + sqr(x157) =L= 36;

e251.. sqr(x66) + sqr(x158) =L= 36;

e252.. sqr(x67) + sqr(x159) =L= 144;

e253.. sqr(x68) + sqr(x160) =L= 144;

e254.. sqr(x69) + sqr(x161) =L= 36;

e255.. sqr(x70) + sqr(x162) =L= 36;

e256.. sqr(x71) + sqr(x163) =L= 81;

e257.. sqr(x72) + sqr(x164) =L= 81;

e258.. sqr(x73) + sqr(x165) =L= 144;

e259.. sqr(x74) + sqr(x166) =L= 144;

e260.. sqr(x75) + sqr(x167) =L= 36;

e261.. sqr(x76) + sqr(x168) =L= 36;

e262.. sqr(x77) + sqr(x169) =L= 81;

e263.. sqr(x78) + sqr(x170) =L= 81;

e264.. sqr(x79) + sqr(x171) =L= 36;

e265.. sqr(x80) + sqr(x172) =L= 36;

e266.. sqr(x81) + sqr(x173) =L= 81;

e267.. sqr(x82) + sqr(x174) =L= 81;

e268.. sqr(x83) + sqr(x175) =L= 25;

e269.. sqr(x84) + sqr(x176) =L= 25;

e270.. sqr(x85) + sqr(x177) =L= 36;

e271.. sqr(x86) + sqr(x178) =L= 36;

e272.. sqr(x87) + sqr(x179) =L= 25;

e273.. sqr(x88) + sqr(x180) =L= 25;

e274.. sqr(x89) + sqr(x181) =L= 81;

e275.. sqr(x90) + sqr(x182) =L= 81;

e276.. sqr(x91) + sqr(x183) =L= 36;

e277.. sqr(x92) + sqr(x184) =L= 36;

e278.. sqr(x185) + sqr(x224) =L= 1.1236;

e279.. sqr(x186) + sqr(x225) =L= 1.1236;

e280.. sqr(x187) + sqr(x226) =L= 1.1236;

e281.. sqr(x188) + sqr(x227) =L= 1.1236;

e282.. sqr(x189) + sqr(x228) =L= 1.1236;

e283.. sqr(x190) + sqr(x229) =L= 1.1236;

e284.. sqr(x191) + sqr(x230) =L= 1.1236;

e285.. sqr(x192) + sqr(x231) =L= 1.1236;

e286.. sqr(x193) + sqr(x232) =L= 1.1236;

e287.. sqr(x194) + sqr(x233) =L= 1.1236;

e288.. sqr(x195) + sqr(x234) =L= 1.1236;

e289.. sqr(x196) + sqr(x235) =L= 1.1236;

e290.. sqr(x197) + sqr(x236) =L= 1.1236;

e291.. sqr(x198) + sqr(x237) =L= 1.1236;

e292.. sqr(x199) + sqr(x238) =L= 1.1236;

e293.. sqr(x200) + sqr(x239) =L= 1.1236;

e294.. sqr(x201) + sqr(x240) =L= 1.1236;

e295.. sqr(x202) + sqr(x241) =L= 1.1236;

e296.. sqr(x203) + sqr(x242) =L= 1.1236;

e297.. sqr(x204) + sqr(x243) =L= 1.1236;

e298.. sqr(x205) + sqr(x244) =L= 1.1236;

e299.. sqr(x206) + sqr(x245) =L= 1.1236;

e300.. sqr(x207) + sqr(x246) =L= 1.1236;

e301.. sqr(x208) + sqr(x247) =L= 1.1236;

e302.. sqr(x209) + sqr(x248) =L= 1.1236;

e303.. sqr(x210) + sqr(x249) =L= 1.1236;

e304.. sqr(x211) + sqr(x250) =L= 1.1236;

e305.. sqr(x212) + sqr(x251) =L= 1.1236;

e306.. sqr(x213) + sqr(x252) =L= 1.1236;

e307.. sqr(x214) + sqr(x253) =L= 1.1236;

e308.. sqr(x215) + sqr(x254) =L= 1.1236;

e309.. sqr(x216) + sqr(x255) =L= 1.1236;

e310.. sqr(x217) + sqr(x256) =L= 1.1236;

e311.. sqr(x218) + sqr(x257) =L= 1.1236;

e312.. sqr(x219) + sqr(x258) =L= 1.1236;

e313.. sqr(x220) + sqr(x259) =L= 1.1236;

e314.. sqr(x221) + sqr(x260) =L= 1.1236;

e315.. sqr(x222) + sqr(x261) =L= 1.1236;

e316.. sqr(x223) + sqr(x262) =L= 1.1236;

e317.. sqr(x185) + sqr(x224) =G= 0.8836;

e318.. sqr(x186) + sqr(x225) =G= 0.8836;

e319.. sqr(x187) + sqr(x226) =G= 0.8836;

e320.. sqr(x188) + sqr(x227) =G= 0.8836;

e321.. sqr(x189) + sqr(x228) =G= 0.8836;

e322.. sqr(x190) + sqr(x229) =G= 0.8836;

e323.. sqr(x191) + sqr(x230) =G= 0.8836;

e324.. sqr(x192) + sqr(x231) =G= 0.8836;

e325.. sqr(x193) + sqr(x232) =G= 0.8836;

e326.. sqr(x194) + sqr(x233) =G= 0.8836;

e327.. sqr(x195) + sqr(x234) =G= 0.8836;

e328.. sqr(x196) + sqr(x235) =G= 0.8836;

e329.. sqr(x197) + sqr(x236) =G= 0.8836;

e330.. sqr(x198) + sqr(x237) =G= 0.8836;

e331.. sqr(x199) + sqr(x238) =G= 0.8836;

e332.. sqr(x200) + sqr(x239) =G= 0.8836;

e333.. sqr(x201) + sqr(x240) =G= 0.8836;

e334.. sqr(x202) + sqr(x241) =G= 0.8836;

e335.. sqr(x203) + sqr(x242) =G= 0.8836;

e336.. sqr(x204) + sqr(x243) =G= 0.8836;

e337.. sqr(x205) + sqr(x244) =G= 0.8836;

e338.. sqr(x206) + sqr(x245) =G= 0.8836;

e339.. sqr(x207) + sqr(x246) =G= 0.8836;

e340.. sqr(x208) + sqr(x247) =G= 0.8836;

e341.. sqr(x209) + sqr(x248) =G= 0.8836;

e342.. sqr(x210) + sqr(x249) =G= 0.8836;

e343.. sqr(x211) + sqr(x250) =G= 0.8836;

e344.. sqr(x212) + sqr(x251) =G= 0.8836;

e345.. sqr(x213) + sqr(x252) =G= 0.8836;

e346.. sqr(x214) + sqr(x253) =G= 0.8836;

e347.. sqr(x215) + sqr(x254) =G= 0.8836;

e348.. sqr(x216) + sqr(x255) =G= 0.8836;

e349.. sqr(x217) + sqr(x256) =G= 0.8836;

e350.. sqr(x218) + sqr(x257) =G= 0.8836;

e351.. sqr(x219) + sqr(x258) =G= 0.8836;

e352.. sqr(x220) + sqr(x259) =G= 0.8836;

e353.. sqr(x221) + sqr(x260) =G= 0.8836;

e354.. sqr(x222) + sqr(x261) =G= 0.8836;

e355.. sqr(x223) + sqr(x262) =G= 0.8836;

e356..    x263 =L= 10.4;

e357..    x264 =L= 6.46;

e358..    x265 =L= 7.25;

e359..    x266 =L= 6.52;

e360..    x267 =L= 5.08;

e361..    x268 =L= 6.87;

e362..    x269 =L= 5.8;

e363..    x270 =L= 5.64;

e364..    x271 =L= 8.65;

e365..    x272 =L= 11;

e366..    x263 =G= 0;

e367..    x264 =G= 0;

e368..    x265 =G= 0;

e369..    x266 =G= 0;

e370..    x267 =G= 0;

e371..    x268 =G= 0;

e372..    x269 =G= 0;

e373..    x270 =G= 0;

e374..    x271 =G= 0;

e375..    x272 =G= 0;

e376..    x273 =L= 4;

e377..    x274 =L= 3;

e378..    x275 =L= 3;

e379..    x276 =L= 2.5;

e380..    x277 =L= 1.67;

e381..    x278 =L= 3;

e382..    x279 =L= 2.4;

e383..    x280 =L= 2.5;

e384..    x281 =L= 3;

e385..    x282 =L= 3;

e386..    x273 =G= 1.4;

e387..    x274 =G= -1;

e388..    x275 =G= 1.5;

e389..    x276 =G= 0;

e390..    x277 =G= 0;

e391..    x278 =G= -1;

e392..    x279 =G= 0;

e393..    x280 =G= 0;

e394..    x281 =G= -1.5;

e395..    x282 =G= -1;

e396..    x254 =E= 0;

e397..    x64 - x263 =E= 0;

e398..    x8 - x264 =E= -0.092;

e399..    x16 - x265 =E= 0;

e400..    x82 - x266 =E= 0;

e401..    x30 - x267 =E= 0;

e402..    x22 - x268 =E= 0;

e403..    x78 - x269 =E= 0;

e404..    x72 - x270 =E= 0;

e405..    x74 - x271 =E= 0;

e406..    x12 + x58 - x272 =E= -11.04;

e407..    x156 - x273 =E= 0;

e408..    x100 - x274 =E= -0.046;

e409..    x108 - x275 =E= 0;

e410..    x174 - x276 =E= 0;

e411..    x122 - x277 =E= 0;

e412..    x114 - x278 =E= 0;

e413..    x170 - x279 =E= 0;

e414..    x164 - x280 =E= 0;

e415..    x166 - x281 =E= 0;

e416..    x104 + x150 - x282 =E= -2.5;

e417..    x11 + x17 =E= -0.976;

e418..    x18 + x23 + x63 + x87 =E= 0;

e419..    x19 + x24 + x39 =E= -3.22;

e420..    x20 + x53 + x83 =E= -5;

e421..    x3 + x54 + x67 =E= 0;

e422..    x7 + x9 + x37 + x68 =E= 0;

e423..    x10 + x89 =E= -2.338;

e424..    x4 + x31 + x90 =E= -5.22;

e425..    x32 + x57 =E= -0.065;

e426..    x15 + x65 + x85 =E= 0;

e427..    x38 + x50 + x86 =E= 0;

e428..    x1 + x49 =E= -0.0853;

e429..    x2 + x61 + x66 =E= 0;

e430..    x62 + x75 + x84 =E= 0;

e431..    x47 + x76 =E= -3.2;

e432..    x5 + x41 + x48 + x55 + x69 =E= -3.29;

e433..    x6 + x33 + x51 =E= 0;

e434..    x40 + x52 =E= -1.58;

e435..    x42 + x43 + x81 =E= 0;

e436..    x29 + x44 =E= -6.8;

e437..    x35 + x56 =E= -2.74;

e438..    x21 + x36 + x59 =E= 0;

e439..    x25 + x60 + x77 =E= -2.475;

e440..    x26 + x70 =E= -3.086;

e441..    x45 + x71 + x88 =E= -2.24;

e442..    x13 + x46 + x79 + x91 =E= -1.39;

e443..    x14 + x34 =E= -2.81;

e444..    x27 + x92 =E= -2.06;

e445..    x28 + x73 + x80 =E= -2.835;

e446..    x103 + x109 =E= -0.442;

e447..    x110 + x115 + x155 + x179 =E= 0;

e448..    x111 + x116 + x131 =E= -0.024;

e449..    x112 + x145 + x175 =E= -1.84;

e450..    x95 + x146 + x159 =E= 0;

e451..    x99 + x101 + x129 + x160 =E= 0;

e452..    x102 + x181 =E= -0.84;

e453..    x96 + x123 + x182 =E= -1.766;

e454..    x124 + x149 =E= 0.666;

e455..    x107 + x157 + x177 =E= 0;

e456..    x130 + x142 + x178 =E= 0;

e457..    x93 + x141 =E= -0.88;

e458..    x94 + x153 + x158 =E= 0;

e459..    x154 + x167 + x176 =E= 0;

e460..    x139 + x168 =E= -1.53;

e461..    x97 + x133 + x140 + x147 + x161 =E= -0.323;

e462..    x98 + x125 + x143 =E= 0;

e463..    x132 + x144 =E= -0.3;

e464..    x134 + x135 + x173 =E= 0;

e465..    x121 + x136 =E= -1.03;

e466..    x127 + x148 =E= -1.15;

e467..    x113 + x128 + x151 =E= 0;

e468..    x117 + x152 + x169 =E= -0.846;

e469..    x118 + x162 =E= 0.922;

e470..    x137 + x163 + x180 =E= -0.472;

e471..    x105 + x138 + x171 + x183 =E= -0.17;

e472..    x106 + x126 =E= -0.755;

e473..    x119 + x184 =E= -0.276;

e474..    x120 + x165 + x172 =E= -0.269;

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: 2022-05-24 Git hash: 1198c186
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