MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance transswitch0039r

Optimal Transmission Switching problem modeled using quadratic functions (rectangular coordinates)
Formats ams gms mod nl osil pip py
Primal Bounds (infeas ≤ 1e-08)
44581.77714000 p1 ( gdx sol )
(infeas: 7e-14)
41873.73433000 p2 ( gdx sol )
(infeas: 9e-14)
41866.12319000 p3 ( gdx sol )
(infeas: 9e-14)
Other points (infeas > 1e-08)  
Dual Bounds
27028.62337000 (ANTIGONE)
565.14000430 (BARON)
1229.75107200 (COUENNE)
26939.54817000 (LINDO)
27081.46853000 (SCIP)
2.00000003 (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 328
#Binary Variables 46
#Integer Variables 0
#Nonlinear Variables 318
#Nonlinear Binary Variables 46
#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 170
#Polynomial Constraints 184
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 1689
#Nonlinear Nonzeros in Jacobian 1260
#Nonzeros in (Upper-Left) Hessian of Lagrangian 1008
#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 124
Average blocksize in Hessian of Lagrangian 1.630769
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 6.7559e-01
Maximal coefficient 3.8235e+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
*        329      283       46        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1700      430     1270        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,b263,b264,b265,b266,b267,b268,b269,b270,b271,b272
          ,b273,b274,b275,b276,b277,b278,b279,b280,b281,b282,b283,b284,b285
          ,b286,b287,b288,b289,b290,b291,b292,b293,b294,b295,b296,b297,b298
          ,b299,b300,b301,b302,b303,b304,b305,b306,b307,b308,x309,x310,x311
          ,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323,x324
          ,x325,x326,x327,x328,objvar;

Binary Variables  b263,b264,b265,b266,b267,b268,b269,b270,b271,b272,b273,b274
          ,b275,b276,b277,b278,b279,b280,b281,b282,b283,b284,b285,b286,b287
          ,b288,b289,b290,b291,b292,b293,b294,b295,b296,b297,b298,b299,b300
          ,b301,b302,b303,b304,b305,b306,b307,b308;

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(x309) + 30*x309 + 100*sqr(x310) + 30*x310 + 100*sqr(x311) + 30*
     x311 + 100*sqr(x312) + 30*x312 + 100*sqr(x313) + 30*x313 + 100*sqr(x314)
      + 30*x314 + 100*sqr(x315) + 30*x315 + 100*sqr(x316) + 30*x316 + 100*sqr(
     x317) + 30*x317 + 100*sqr(x318) + 30*x318 - objvar =E= -2;

e2.. -(0.844411840765037*(sqr(x196) + sqr(x235)) - 0.844411840765037*(x196*x197
      + x235*x236) + 22.9574469207994*(x196*x236 - x197*x235))*b263 + x1 =E= 0;

e3.. -(0.844411840765037*(sqr(x197) + sqr(x236)) - 0.844411840765037*(x197*x196
      + x236*x235) + 22.9574469207994*(x197*x235 - x196*x236))*b263 + x2 =E= 0;

e4.. -(6.34517766497462*(sqr(x189) + sqr(x228)) - 6.34517766497462*(x189*x192
      + x228*x231) + 88.8324873096447*(x189*x231 - x192*x228))*b264 + x3 =E= 0;

e5.. -(6.34517766497462*(sqr(x192) + sqr(x231)) - 6.34517766497462*(x192*x189
      + x231*x228) + 88.8324873096447*(x192*x228 - x189*x231))*b264 + x4 =E= 0;

e6.. -(8.78293601003764*(sqr(x200) + sqr(x239)) - 8.78293601003764*(x200*x201
      + x239*x240) + 111.668757841907*(x200*x240 - x201*x239))*b265 + x5 =E= 0;

e7.. -(8.78293601003764*(sqr(x201) + sqr(x240)) - 8.78293601003764*(x201*x200
      + x240*x239) + 111.668757841907*(x201*x239 - x200*x240))*b265 + x6 =E= 0;

e8.. -40*(x190*x254 - x215*x229)*b266 + x7 =E= 0;

e9.. -40*(x215*x229 - x190*x254)*b266 + x8 =E= 0;

e10.. -(7.05882352941176*(sqr(x190) + sqr(x229)) - 7.05882352941176*(x190*x191
       + x229*x230) + 108.235294117647*(x190*x230 - x191*x229))*b267 + x9 =E= 0
      ;

e11.. -(7.05882352941176*(sqr(x191) + sqr(x230)) - 7.05882352941176*(x191*x190
       + x230*x229) + 108.235294117647*(x191*x229 - x190*x230))*b267 + x10
       =E= 0;

e12.. -(1.59744408945687*(sqr(x185) + sqr(x224)) - 1.59744408945687*(x185*x223
       + x224*x262) + 39.9361022364217*(x185*x262 - x223*x224))*b268 + x11
       =E= 0;

e13.. -(1.59744408945687*(sqr(x223) + sqr(x262)) - 1.59744408945687*(x223*x185
       + x262*x224) + 39.9361022364217*(x223*x224 - x185*x262))*b268 + x12
       =E= 0;

e14.. -(6.42054574638844*(sqr(x210) + sqr(x249)) - 6.42054574638844*(x210*x211
       + x249*x250) + 67.4157303370787*(x210*x250 - x211*x249))*b269 + x13
       =E= 0;

e15.. -(6.42054574638844*(sqr(x211) + sqr(x250)) - 6.42054574638844*(x211*x210
       + x250*x249) + 67.4157303370787*(x211*x249 - x210*x250))*b269 + x14
       =E= 0;

e16.. -50*(x194*x255 - x216*x233)*b270 + x15 =E= 0;

e17.. -50*(x216*x233 - x194*x255)*b270 + x16 =E= 0;

e18.. -(2.0570568805614*(sqr(x185) + sqr(x224)) - 2.0570568805614*(x185*x186 + 
      x224*x225) + 24.1557250831639*(x185*x225 - x186*x224))*b271 + x17 =E= 0;

e19.. -(2.0570568805614*(sqr(x186) + sqr(x225)) - 2.0570568805614*(x186*x185 + 
      x225*x224) + 24.1557250831639*(x186*x224 - x185*x225))*b271 + x18 =E= 0;

e20.. -(2.85475866309456*(sqr(x187) + sqr(x226)) - 2.85475866309456*(x187*x188
       + x226*x227) + 46.7741227107032*(x187*x227 - x188*x226))*b272 + x19
       =E= 0;

e21.. -(2.85475866309456*(sqr(x188) + sqr(x227)) - 2.85475866309456*(x188*x187
       + x227*x226) + 46.7741227107032*(x188*x226 - x187*x227))*b272 + x20
       =E= 0;

e22.. -69.9300699300699*(x206*x258 - x219*x245)*b273 + x21 =E= 0;

e23.. -69.9300699300699*(x219*x245 - x206*x258)*b273 + x22 =E= 0;

e24.. -(5.65955594253374*(sqr(x186) + sqr(x225)) - 5.65955594253374*(x186*x187
       + x225*x226) + 65.737919024815*(x186*x226 - x187*x225))*b274 + x23 =E= 0
      ;

e25.. -(5.65955594253374*(sqr(x187) + sqr(x226)) - 5.65955594253374*(x187*x186
       + x226*x225) + 65.737919024815*(x187*x225 - x186*x226))*b274 + x24 =E= 0
      ;

e26.. -(1.78885058218955*(sqr(x207) + sqr(x246)) - 1.78885058218955*(x207*x208
       + x246*x247) + 28.4589865348338*(x207*x247 - x208*x246))*b275 + x25
       =E= 0;

e27.. -(1.78885058218955*(sqr(x208) + sqr(x247)) - 1.78885058218955*(x208*x207
       + x247*x246) + 28.4589865348338*(x208*x246 - x207*x247))*b275 + x26
       =E= 0;

e28.. -(6.08775057616211*(sqr(x212) + sqr(x251)) - 6.08775057616211*(x212*x213
       + x251*x252) + 65.660738357177*(x212*x252 - x213*x251))*b276 + x27 =E= 0
      ;

e29.. -(6.08775057616211*(sqr(x213) + sqr(x252)) - 6.08775057616211*(x213*x212
       + x252*x251) + 65.660738357177*(x213*x251 - x212*x252))*b276 + x28 =E= 0
      ;

e30.. -(2.7708506511499*(sqr(x204) + sqr(x243)) - 2.7708506511499*(x204*x218 + 
      x243*x257) + 55.4170130229981*(x204*x257 - x218*x243))*b277 + x29 =E= 0;

e31.. -(2.7708506511499*(sqr(x218) + sqr(x257)) - 2.7708506511499*(x218*x204 + 
      x257*x243) + 55.4170130229981*(x218*x243 - x204*x257))*b277 + x30 =E= 0;

e32.. -(1.73849944821539*(sqr(x192) + sqr(x231)) - 1.73849944821539*(x192*x193
       + x231*x232) + 27.4380565087908*(x192*x232 - x193*x231))*b278 + x31
       =E= 0;

e33.. -(1.73849944821539*(sqr(x193) + sqr(x232)) - 1.73849944821539*(x193*x192
       + x232*x231) + 27.4380565087908*(x193*x231 - x192*x232))*b278 + x32
       =E= 0;

e34.. -(4.31922386869559*(sqr(x201) + sqr(x240)) - 4.31922386869559*(x201*x211
       + x240*x250) + 57.4789022526414*(x201*x250 - x211*x240))*b279 + x33
       =E= 0;

e35.. -(4.31922386869559*(sqr(x211) + sqr(x250)) - 4.31922386869559*(x211*x201
       + x250*x240) + 57.4789022526414*(x211*x240 - x201*x250))*b279 + x34
       =E= 0;

e36.. -(4.06834825061025*(sqr(x205) + sqr(x244)) - 4.06834825061025*(x205*x206
       + x244*x245) + 71.1960943856794*(x205*x245 - x206*x244))*b280 + x35
       =E= 0;

e37.. -(4.06834825061025*(sqr(x206) + sqr(x245)) - 4.06834825061025*(x206*x205
       + x245*x244) + 71.1960943856794*(x206*x244 - x205*x245))*b280 + x36
       =E= 0;

e38.. -(10.335154289089*(sqr(x190) + sqr(x229)) - 10.335154289089*(x190*x195 + 
      x229*x234) + 121.068950243614*(x190*x234 - x195*x229))*b281 + x37 =E= 0;

e39.. -(10.335154289089*(sqr(x195) + sqr(x234)) - 10.335154289089*(x195*x190 + 
      x234*x229) + 121.068950243614*(x195*x229 - x190*x234))*b281 + x38 =E= 0;

e40.. -(6.17630544637844*(sqr(x187) + sqr(x226)) - 6.17630544637844*(x187*x202
       + x226*x241) + 74.6771476698484*(x187*x241 - x202*x226))*b282 + x39
       =E= 0;

e41.. -(6.17630544637844*(sqr(x202) + sqr(x241)) - 6.17630544637844*(x202*x187
       + x241*x226) + 74.6771476698484*(x202*x226 - x187*x241))*b282 + x40
       =E= 0;

e42.. -(4.17961913220658*(sqr(x200) + sqr(x239)) - 4.17961913220658*(x200*x203
       + x239*x242) + 50.9391081737677*(x200*x242 - x203*x239))*b283 + x41
       =E= 0;

e43.. -(4.17961913220658*(sqr(x203) + sqr(x242)) - 4.17961913220658*(x203*x200
       + x242*x239) + 50.9391081737677*(x203*x239 - x200*x242))*b283 + x42
       =E= 0;

e44.. -(3.66626512334363*(sqr(x203) + sqr(x242)) - 3.66626512334363*(x203*x204
       + x242*x243) + 72.2777981459174*(x203*x243 - x204*x242))*b284 + x43
       =E= 0;

e45.. -(3.66626512334363*(sqr(x204) + sqr(x243)) - 3.66626512334363*(x204*x203
       + x243*x242) + 72.2777981459174*(x204*x242 - x203*x243))*b284 + x44
       =E= 0;

e46.. -(3.03740757263675*(sqr(x209) + sqr(x248)) - 3.03740757263675*(x209*x210
       + x248*x249) + 30.6588326863022*(x209*x249 - x210*x248))*b285 + x45
       =E= 0;

e47.. -(3.03740757263675*(sqr(x210) + sqr(x249)) - 3.03740757263675*(x210*x209
       + x249*x248) + 30.6588326863022*(x210*x248 - x209*x249))*b285 + x46
       =E= 0;

e48.. -(10.0930806324997*(sqr(x199) + sqr(x238)) - 10.0930806324997*(x199*x200
       + x238*x239) + 105.416619939442*(x199*x239 - x200*x238))*b286 + x47
       =E= 0;

e49.. -(10.0930806324997*(sqr(x200) + sqr(x239)) - 10.0930806324997*(x200*x199
       + x239*x238) + 105.416619939442*(x200*x238 - x199*x239))*b286 + x48
       =E= 0;

e50.. -(0.844411840765037*(sqr(x196) + sqr(x235)) - 0.844411840765037*(x196*
      x195 + x235*x234) + 22.9574469207994*(x196*x234 - x195*x235))*b287 + x49
       =E= 0;

e51.. -(0.844411840765037*(sqr(x195) + sqr(x234)) - 0.844411840765037*(x195*
      x196 + x234*x235) + 22.9574469207994*(x195*x235 - x196*x234))*b287 + x50
       =E= 0;

e52.. -(10.335154289089*(sqr(x201) + sqr(x240)) - 10.335154289089*(x201*x202 + 
      x240*x241) + 121.068950243614*(x201*x241 - x202*x240))*b288 + x51 =E= 0;

e53.. -(10.335154289089*(sqr(x202) + sqr(x241)) - 10.335154289089*(x202*x201 + 
      x241*x240) + 121.068950243614*(x202*x240 - x201*x241))*b288 + x52 =E= 0;

e54.. -(4.86381322957198*(sqr(x188) + sqr(x227)) - 4.86381322957198*(x188*x189
       + x227*x228) + 77.8210116731518*(x188*x228 - x189*x227))*b289 + x53
       =E= 0;

e55.. -(4.86381322957198*(sqr(x189) + sqr(x228)) - 4.86381322957198*(x189*x188
       + x228*x227) + 77.8210116731518*(x189*x227 - x188*x228))*b289 + x54
       =E= 0;

e56.. -(4.37421400842036*(sqr(x200) + sqr(x239)) - 4.37421400842036*(x200*x205
       + x239*x244) + 73.8148613920936*(x200*x244 - x205*x239))*b290 + x55
       =E= 0;

e57.. -(4.37421400842036*(sqr(x205) + sqr(x244)) - 4.37421400842036*(x205*x200
       + x244*x239) + 73.8148613920936*(x205*x239 - x200*x244))*b290 + x56
       =E= 0;

e58.. -(1.59744408945687*(sqr(x193) + sqr(x232)) - 1.59744408945687*(x193*x223
       + x232*x262) + 39.9361022364217*(x193*x262 - x223*x232))*b291 + x57
       =E= 0;

e59.. -(1.59744408945687*(sqr(x223) + sqr(x262)) - 1.59744408945687*(x223*x193
       + x262*x232) + 39.9361022364217*(x223*x232 - x193*x262))*b291 + x58
       =E= 0;

e60.. -(6.48508430609598*(sqr(x206) + sqr(x245)) - 6.48508430609598*(x206*x207
       + x245*x246) + 103.761348897536*(x206*x246 - x207*x245))*b292 + x59
       =E= 0;

e61.. -(6.48508430609598*(sqr(x207) + sqr(x246)) - 6.48508430609598*(x207*x206
       + x246*x245) + 103.761348897536*(x207*x245 - x206*x246))*b292 + x60
       =E= 0;

e62.. -(8.75316086364521*(sqr(x197) + sqr(x236)) - 8.75316086364521*(x197*x198
       + x236*x237) + 98.2299163586851*(x197*x237 - x198*x236))*b293 + x61
       =E= 0;

e63.. -(8.75316086364521*(sqr(x198) + sqr(x237)) - 8.75316086364521*(x198*x197
       + x237*x236) + 98.2299163586851*(x198*x236 - x197*x237))*b293 + x62
       =E= 0;

e64.. -55.2486187845304*(x186*x253 - x214*x225)*b294 + x63 =E= 0;

e65.. -55.2486187845304*(x214*x225 - x186*x253)*b294 + x64 =E= 0;

e66.. -(21.4477211796247*(sqr(x194) + sqr(x233)) - 21.4477211796247*(x194*x197
       + x233*x236) + 230.563002680965*(x194*x236 - x197*x233))*b295 + x65
       =E= 0;

e67.. -(21.4477211796247*(sqr(x197) + sqr(x236)) - 21.4477211796247*(x197*x194
       + x236*x233) + 230.563002680965*(x197*x233 - x194*x236))*b295 + x66
       =E= 0;

e68.. -(29.4117647058824*(sqr(x189) + sqr(x228)) - 29.4117647058824*(x189*x190
       + x228*x229) + 382.352941176471*(x189*x229 - x190*x228))*b296 + x67
       =E= 0;

e69.. -(29.4117647058824*(sqr(x190) + sqr(x229)) - 29.4117647058824*(x190*x189
       + x229*x228) + 382.352941176471*(x190*x228 - x189*x229))*b296 + x68
       =E= 0;

e70.. -(8.59598853868195*(sqr(x200) + sqr(x239)) - 8.59598853868195*(x200*x208
       + x239*x247) + 169.054441260745*(x200*x247 - x208*x239))*b297 + x69
       =E= 0;

e71.. -(8.59598853868195*(sqr(x208) + sqr(x247)) - 8.59598853868195*(x208*x200
       + x247*x239) + 169.054441260745*(x208*x239 - x200*x247))*b297 + x70
       =E= 0;

e72.. -(1.11399925733383*(sqr(x209) + sqr(x248)) - 1.11399925733383*(x209*x221
       + x248*x260) + 43.0746379502414*(x209*x260 - x221*x248))*b298 + x71
       =E= 0;

e73.. -(1.11399925733383*(sqr(x221) + sqr(x260)) - 1.11399925733383*(x221*x209
       + x260*x248) + 43.0746379502414*(x221*x248 - x209*x260))*b298 + x72
       =E= 0;

e74.. -(3.27868852459016*(sqr(x213) + sqr(x252)) - 3.27868852459016*(x213*x222
       + x252*x261) + 63.9344262295082*(x213*x261 - x222*x252))*b299 + x73
       =E= 0;

e75.. -(3.27868852459016*(sqr(x222) + sqr(x261)) - 3.27868852459016*(x222*x213
       + x261*x252) + 63.9344262295082*(x222*x252 - x213*x261))*b299 + x74
       =E= 0;

e76.. -(3.7964271402358*(sqr(x198) + sqr(x237)) - 3.7964271402358*(x198*x199 + 
      x237*x238) + 45.7680383017316*(x198*x238 - x199*x237))*b300 + x75 =E= 0;

e77.. -(3.7964271402358*(sqr(x199) + sqr(x238)) - 3.7964271402358*(x199*x198 + 
      x238*x237) + 45.7680383017316*(x199*x237 - x198*x238))*b300 + x76 =E= 0;

e78.. -(0.675593508897567*(sqr(x207) + sqr(x246)) - 0.675593508897567*(x207*
      x220 + x246*x259) + 36.7522868840276*(x207*x259 - x220*x246))*b301 + x77
       =E= 0;

e79.. -(0.675593508897567*(sqr(x220) + sqr(x259)) - 0.675593508897567*(x220*
      x207 + x259*x246) + 36.7522868840276*(x220*x246 - x207*x259))*b301 + x78
       =E= 0;

e80.. -(1.44716330603188*(sqr(x210) + sqr(x249)) - 1.44716330603188*(x210*x213
       + x249*x252) + 15.8680187064899*(x210*x252 - x213*x249))*b302 + x79
       =E= 0;

e81.. -(1.44716330603188*(sqr(x213) + sqr(x252)) - 1.44716330603188*(x213*x210
       + x252*x249) + 15.8680187064899*(x213*x249 - x210*x252))*b302 + x80
       =E= 0;

e82.. -(3.46311779547816*(sqr(x203) + sqr(x242)) - 3.46311779547816*(x203*x217
       + x242*x256) + 70.2518181368426*(x203*x256 - x217*x242))*b303 + x81
       =E= 0;

e83.. -(3.46311779547816*(sqr(x217) + sqr(x256)) - 3.46311779547816*(x217*x203
       + x256*x242) + 70.2518181368426*(x217*x242 - x203*x256))*b303 + x82
       =E= 0;

e84.. -(4.78898533373242*(sqr(x188) + sqr(x227)) - 4.78898533373242*(x188*x198
       + x227*x237) + 77.2223885064352*(x188*x237 - x198*x227))*b304 + x83
       =E= 0;

e85.. -(4.78898533373242*(sqr(x198) + sqr(x237)) - 4.78898533373242*(x198*x188
       + x237*x227) + 77.2223885064352*(x198*x227 - x188*x237))*b304 + x84
       =E= 0;

e86.. -(21.4477211796247*(sqr(x194) + sqr(x233)) - 21.4477211796247*(x194*x195
       + x233*x234) + 230.563002680965*(x194*x234 - x195*x233))*b305 + x85
       =E= 0;

e87.. -(21.4477211796247*(sqr(x195) + sqr(x234)) - 21.4477211796247*(x195*x194
       + x234*x233) + 230.563002680965*(x195*x233 - x194*x234))*b305 + x86
       =E= 0;

e88.. -(56.9290826284971*(sqr(x186) + sqr(x225)) - 56.9290826284971*(x186*x209
       + x225*x248) + 69.9414443721535*(x186*x248 - x209*x225))*b306 + x87
       =E= 0;

e89.. -(56.9290826284971*(sqr(x209) + sqr(x248)) - 56.9290826284971*(x209*x186
       + x248*x225) + 69.9414443721535*(x209*x225 - x186*x248))*b306 + x88
       =E= 0;

e90.. -(18.7617260787993*(sqr(x191) + sqr(x230)) - 18.7617260787993*(x191*x192
       + x230*x231) + 215.759849906191*(x191*x231 - x192*x230))*b307 + x89
       =E= 0;

e91.. -(18.7617260787993*(sqr(x192) + sqr(x231)) - 18.7617260787993*(x192*x191
       + x231*x230) + 215.759849906191*(x192*x230 - x191*x231))*b307 + x90
       =E= 0;

e92.. -(1.89824522679616*(sqr(x210) + sqr(x249)) - 1.89824522679616*(x210*x212
       + x249*x251) + 20.9248427325902*(x210*x251 - x212*x249))*b308 + x91
       =E= 0;

e93.. -(1.89824522679616*(sqr(x212) + sqr(x251)) - 1.89824522679616*(x212*x210
       + x251*x249) + 20.9248427325902*(x212*x249 - x210*x251))*b308 + x92
       =E= 0;

e94.. -(22.9574469207994*(sqr(x196) + sqr(x235)) - 22.9574469207994*(x196*x197
       + x235*x236) - 0.844411840765037*(x196*x236 - x197*x235))*b263 + x93
       =E= 0;

e95.. -(22.9574469207994*(sqr(x197) + sqr(x236)) - 22.9574469207994*(x197*x196
       + x236*x235) - 0.844411840765037*(x197*x235 - x196*x236))*b263 + x94
       =E= 0;

e96.. -(88.7586873096447*(sqr(x189) + sqr(x228)) - 88.8324873096447*(x189*x192
       + x228*x231) - 6.34517766497462*(x189*x231 - x192*x228))*b264 + x95
       =E= 0;

e97.. -(88.7586873096447*(sqr(x192) + sqr(x231)) - 88.8324873096447*(x192*x189
       + x231*x228) - 6.34517766497462*(x192*x228 - x189*x231))*b264 + x96
       =E= 0;

e98.. -(111.601657841907*(sqr(x200) + sqr(x239)) - 111.668757841907*(x200*x201
       + x239*x240) - 8.78293601003764*(x200*x240 - x201*x239))*b265 + x97
       =E= 0;

e99.. -(111.601657841907*(sqr(x201) + sqr(x240)) - 111.668757841907*(x201*x200
       + x240*x239) - 8.78293601003764*(x201*x239 - x200*x240))*b265 + x98
       =E= 0;

e100.. -(40*(sqr(x190) + sqr(x229)) - 40*(x190*x215 + x229*x254))*b266 + x99
        =E= 0;

e101.. -(40*(sqr(x215) + sqr(x254)) - 40*(x215*x190 + x254*x229))*b266 + x100
        =E= 0;

e102.. -(108.178794117647*(sqr(x190) + sqr(x229)) - 108.235294117647*(x190*x191
        + x229*x230) - 7.05882352941176*(x190*x230 - x191*x229))*b267 + x101
        =E= 0;

e103.. -(108.178794117647*(sqr(x191) + sqr(x230)) - 108.235294117647*(x191*x190
        + x230*x229) - 7.05882352941176*(x191*x229 - x190*x230))*b267 + x102
        =E= 0;

e104.. -(39.5611022364217*(sqr(x185) + sqr(x224)) - 39.9361022364217*(x185*x223
        + x224*x262) - 1.59744408945687*(x185*x262 - x223*x224))*b268 + x103
        =E= 0;

e105.. -(39.5611022364217*(sqr(x223) + sqr(x262)) - 39.9361022364217*(x223*x185
        + x262*x224) - 1.59744408945687*(x223*x224 - x185*x262))*b268 + x104
        =E= 0;

e106.. -(67.2959303370787*(sqr(x210) + sqr(x249)) - 67.4157303370787*(x210*x211
        + x249*x250) - 6.42054574638844*(x210*x250 - x211*x249))*b269 + x105
        =E= 0;

e107.. -(67.2959303370787*(sqr(x211) + sqr(x250)) - 67.4157303370787*(x211*x210
        + x250*x249) - 6.42054574638844*(x211*x249 - x210*x250))*b269 + x106
        =E= 0;

e108.. -(50*(sqr(x194) + sqr(x233)) - 50*(x194*x216 + x233*x255))*b270 + x107
        =E= 0;

e109.. -(50*(sqr(x216) + sqr(x255)) - 50*(x216*x194 + x255*x233))*b270 + x108
        =E= 0;

e110.. -(23.8063750831639*(sqr(x185) + sqr(x224)) - 24.1557250831639*(x185*x186
        + x224*x225) - 2.0570568805614*(x185*x225 - x186*x224))*b271 + x109
        =E= 0;

e111.. -(23.8063750831639*(sqr(x186) + sqr(x225)) - 24.1557250831639*(x186*x185
        + x225*x224) - 2.0570568805614*(x186*x224 - x185*x225))*b271 + x110
        =E= 0;

e112.. -(46.6634227107032*(sqr(x187) + sqr(x226)) - 46.7741227107032*(x187*x188
        + x226*x227) - 2.85475866309456*(x187*x227 - x188*x226))*b272 + x111
        =E= 0;

e113.. -(46.6634227107032*(sqr(x188) + sqr(x227)) - 46.7741227107032*(x188*x187
        + x227*x226) - 2.85475866309456*(x188*x226 - x187*x227))*b272 + x112
        =E= 0;

e114.. -(69.9300699300699*(sqr(x206) + sqr(x245)) - 69.9300699300699*(x206*x219
        + x245*x258))*b273 + x113 =E= 0;

e115.. -(69.9300699300699*(sqr(x219) + sqr(x258)) - 69.9300699300699*(x219*x206
        + x258*x245))*b273 + x114 =E= 0;

e116.. -(65.609319024815*(sqr(x186) + sqr(x225)) - 65.737919024815*(x186*x187
        + x225*x226) - 5.65955594253374*(x186*x226 - x187*x225))*b274 + x115
        =E= 0;

e117.. -(65.609319024815*(sqr(x187) + sqr(x226)) - 65.737919024815*(x187*x186
        + x226*x225) - 5.65955594253374*(x187*x225 - x186*x226))*b274 + x116
        =E= 0;

e118.. -(28.2784865348338*(sqr(x207) + sqr(x246)) - 28.4589865348338*(x207*x208
        + x246*x247) - 1.78885058218955*(x207*x247 - x208*x246))*b275 + x117
        =E= 0;

e119.. -(28.2784865348338*(sqr(x208) + sqr(x247)) - 28.4589865348338*(x208*x207
        + x247*x246) - 1.78885058218955*(x208*x246 - x207*x247))*b275 + x118
        =E= 0;

e120.. -(65.536238357177*(sqr(x212) + sqr(x251)) - 65.660738357177*(x212*x213
        + x251*x252) - 6.08775057616211*(x212*x252 - x213*x251))*b276 + x119
        =E= 0;

e121.. -(65.536238357177*(sqr(x213) + sqr(x252)) - 65.660738357177*(x213*x212
        + x252*x251) - 6.08775057616211*(x213*x251 - x212*x252))*b276 + x120
        =E= 0;

e122.. -(55.4170130229981*(sqr(x204) + sqr(x243)) - 55.4170130229981*(x204*x218
        + x243*x257) - 2.7708506511499*(x204*x257 - x218*x243))*b277 + x121
        =E= 0;

e123.. -(55.4170130229981*(sqr(x218) + sqr(x257)) - 55.4170130229981*(x218*x204
        + x257*x243) - 2.7708506511499*(x218*x243 - x204*x257))*b277 + x122
        =E= 0;

e124.. -(27.2478565087908*(sqr(x192) + sqr(x231)) - 27.4380565087908*(x192*x193
        + x231*x232) - 1.73849944821539*(x192*x232 - x193*x231))*b278 + x123
        =E= 0;

e125.. -(27.2478565087908*(sqr(x193) + sqr(x232)) - 27.4380565087908*(x193*x192
        + x232*x231) - 1.73849944821539*(x193*x231 - x192*x232))*b278 + x124
        =E= 0;

e126.. -(57.3181022526414*(sqr(x201) + sqr(x240)) - 57.4789022526414*(x201*x211
        + x240*x250) - 4.31922386869559*(x201*x250 - x211*x240))*b279 + x125
        =E= 0;

e127.. -(57.3181022526414*(sqr(x211) + sqr(x250)) - 57.4789022526414*(x211*x201
        + x250*x240) - 4.31922386869559*(x211*x240 - x201*x250))*b279 + x126
        =E= 0;

e128.. -(71.0678443856794*(sqr(x205) + sqr(x244)) - 71.1960943856794*(x205*x206
        + x244*x245) - 4.06834825061025*(x205*x245 - x206*x244))*b280 + x127
        =E= 0;

e129.. -(71.0678443856794*(sqr(x206) + sqr(x245)) - 71.1960943856794*(x206*x205
        + x245*x244) - 4.06834825061025*(x206*x244 - x205*x245))*b280 + x128
        =E= 0;

e130.. -(120.999500243614*(sqr(x190) + sqr(x229)) - 121.068950243614*(x190*x195
        + x229*x234) - 10.335154289089*(x190*x234 - x195*x229))*b281 + x129
        =E= 0;

e131.. -(120.999500243614*(sqr(x195) + sqr(x234)) - 121.068950243614*(x195*x190
        + x234*x229) - 10.335154289089*(x195*x229 - x190*x234))*b281 + x130
        =E= 0;

e132.. -(74.5702476698484*(sqr(x187) + sqr(x226)) - 74.6771476698484*(x187*x202
        + x226*x241) - 6.17630544637844*(x187*x241 - x202*x226))*b282 + x131
        =E= 0;

e133.. -(74.5702476698484*(sqr(x202) + sqr(x241)) - 74.6771476698484*(x202*x187
        + x241*x226) - 6.17630544637844*(x202*x226 - x187*x241))*b282 + x132
        =E= 0;

e134.. -(50.7871081737677*(sqr(x200) + sqr(x239)) - 50.9391081737677*(x200*x203
        + x239*x242) - 4.17961913220658*(x200*x242 - x203*x239))*b283 + x133
        =E= 0;

e135.. -(50.7871081737677*(sqr(x203) + sqr(x242)) - 50.9391081737677*(x203*x200
        + x242*x239) - 4.17961913220658*(x203*x239 - x200*x242))*b283 + x134
        =E= 0;

e136.. -(72.2777981459174*(sqr(x203) + sqr(x242)) - 72.2777981459174*(x203*x204
        + x242*x243) - 3.66626512334363*(x203*x243 - x204*x242))*b284 + x135
        =E= 0;

e137.. -(72.2777981459174*(sqr(x204) + sqr(x243)) - 72.2777981459174*(x204*x203
        + x243*x242) - 3.66626512334363*(x204*x242 - x203*x243))*b284 + x136
        =E= 0;

e138.. -(30.3933326863022*(sqr(x209) + sqr(x248)) - 30.6588326863022*(x209*x210
        + x248*x249) - 3.03740757263675*(x209*x249 - x210*x248))*b285 + x137
        =E= 0;

e139.. -(30.3933326863022*(sqr(x210) + sqr(x249)) - 30.6588326863022*(x210*x209
        + x249*x248) - 3.03740757263675*(x210*x248 - x209*x249))*b285 + x138
        =E= 0;

e140.. -(105.331119939442*(sqr(x199) + sqr(x238)) - 105.416619939442*(x199*x200
        + x238*x239) - 10.0930806324997*(x199*x239 - x200*x238))*b286 + x139
        =E= 0;

e141.. -(105.331119939442*(sqr(x200) + sqr(x239)) - 105.416619939442*(x200*x199
        + x239*x238) - 10.0930806324997*(x200*x238 - x199*x239))*b286 + x140
        =E= 0;

e142.. -(22.9574469207994*(sqr(x196) + sqr(x235)) - 22.9574469207994*(x196*x195
        + x235*x234) - 0.844411840765037*(x196*x234 - x195*x235))*b287 + x141
        =E= 0;

e143.. -(22.9574469207994*(sqr(x195) + sqr(x234)) - 22.9574469207994*(x195*x196
        + x234*x235) - 0.844411840765037*(x195*x235 - x196*x234))*b287 + x142
        =E= 0;

e144.. -(121.003000243614*(sqr(x201) + sqr(x240)) - 121.068950243614*(x201*x202
        + x240*x241) - 10.335154289089*(x201*x241 - x202*x240))*b288 + x143
        =E= 0;

e145.. -(121.003000243614*(sqr(x202) + sqr(x241)) - 121.068950243614*(x202*x201
        + x241*x240) - 10.335154289089*(x202*x240 - x201*x241))*b288 + x144
        =E= 0;

e146.. -(77.7539116731518*(sqr(x188) + sqr(x227)) - 77.8210116731518*(x188*x189
        + x227*x228) - 4.86381322957198*(x188*x228 - x189*x227))*b289 + x145
        =E= 0;

e147.. -(77.7539116731518*(sqr(x189) + sqr(x228)) - 77.8210116731518*(x189*x188
        + x228*x227) - 4.86381322957198*(x189*x227 - x188*x228))*b289 + x146
        =E= 0;

e148.. -(73.6874613920936*(sqr(x200) + sqr(x239)) - 73.8148613920936*(x200*x205
        + x239*x244) - 4.37421400842036*(x200*x244 - x205*x239))*b290 + x147
        =E= 0;

e149.. -(73.6874613920936*(sqr(x205) + sqr(x244)) - 73.8148613920936*(x205*x200
        + x244*x239) - 4.37421400842036*(x205*x239 - x200*x244))*b290 + x148
        =E= 0;

e150.. -(39.3361022364217*(sqr(x193) + sqr(x232)) - 39.9361022364217*(x193*x223
        + x232*x262) - 1.59744408945687*(x193*x262 - x223*x232))*b291 + x149
        =E= 0;

e151.. -(39.3361022364217*(sqr(x223) + sqr(x262)) - 39.9361022364217*(x223*x193
        + x262*x232) - 1.59744408945687*(x223*x232 - x193*x262))*b291 + x150
        =E= 0;

e152.. -(103.669048897536*(sqr(x206) + sqr(x245)) - 103.761348897536*(x206*x207
        + x245*x246) - 6.48508430609598*(x206*x246 - x207*x245))*b292 + x151
        =E= 0;

e153.. -(103.669048897536*(sqr(x207) + sqr(x246)) - 103.761348897536*(x207*x206
        + x246*x245) - 6.48508430609598*(x207*x245 - x206*x246))*b292 + x152
        =E= 0;

e154.. -(98.1437663586851*(sqr(x197) + sqr(x236)) - 98.2299163586851*(x197*x198
        + x236*x237) - 8.75316086364521*(x197*x237 - x198*x236))*b293 + x153
        =E= 0;

e155.. -(98.1437663586851*(sqr(x198) + sqr(x237)) - 98.2299163586851*(x198*x197
        + x237*x236) - 8.75316086364521*(x198*x236 - x197*x237))*b293 + x154
        =E= 0;

e156.. -(55.2486187845304*(sqr(x186) + sqr(x225)) - 55.2486187845304*(x186*x214
        + x225*x253))*b294 + x155 =E= 0;

e157.. -(55.2486187845304*(sqr(x214) + sqr(x253)) - 55.2486187845304*(x214*x186
        + x253*x225))*b294 + x156 =E= 0;

e158.. -(230.526552680965*(sqr(x194) + sqr(x233)) - 230.563002680965*(x194*x197
        + x233*x236) - 21.4477211796247*(x194*x236 - x197*x233))*b295 + x157
        =E= 0;

e159.. -(230.526552680965*(sqr(x197) + sqr(x236)) - 230.563002680965*(x197*x194
        + x236*x233) - 21.4477211796247*(x197*x233 - x194*x236))*b295 + x158
        =E= 0;

e160.. -(382.331241176471*(sqr(x189) + sqr(x228)) - 382.352941176471*(x189*x190
        + x228*x229) - 29.4117647058824*(x189*x229 - x190*x228))*b296 + x159
        =E= 0;

e161.. -(382.331241176471*(sqr(x190) + sqr(x229)) - 382.352941176471*(x190*x189
        + x229*x228) - 29.4117647058824*(x190*x228 - x189*x229))*b296 + x160
        =E= 0;

e162.. -(169.020441260745*(sqr(x200) + sqr(x239)) - 169.054441260745*(x200*x208
        + x239*x247) - 8.59598853868195*(x200*x247 - x208*x239))*b297 + x161
        =E= 0;

e163.. -(169.020441260745*(sqr(x208) + sqr(x247)) - 169.054441260745*(x208*x200
        + x247*x239) - 8.59598853868195*(x208*x239 - x200*x247))*b297 + x162
        =E= 0;

e164.. -(43.0746379502414*(sqr(x209) + sqr(x248)) - 43.0746379502414*(x209*x221
        + x248*x260) - 1.11399925733383*(x209*x260 - x221*x248))*b298 + x163
        =E= 0;

e165.. -(43.0746379502414*(sqr(x221) + sqr(x260)) - 43.0746379502414*(x221*x209
        + x260*x248) - 1.11399925733383*(x221*x248 - x209*x260))*b298 + x164
        =E= 0;

e166.. -(63.9344262295082*(sqr(x213) + sqr(x252)) - 63.9344262295082*(x213*x222
        + x252*x261) - 3.27868852459016*(x213*x261 - x222*x252))*b299 + x165
        =E= 0;

e167.. -(63.9344262295082*(sqr(x222) + sqr(x261)) - 63.9344262295082*(x222*x213
        + x261*x252) - 3.27868852459016*(x222*x252 - x213*x261))*b299 + x166
        =E= 0;

e168.. -(45.5850383017316*(sqr(x198) + sqr(x237)) - 45.7680383017316*(x198*x199
        + x237*x238) - 3.7964271402358*(x198*x238 - x199*x237))*b300 + x167
        =E= 0;

e169.. -(45.5850383017316*(sqr(x199) + sqr(x238)) - 45.7680383017316*(x199*x198
        + x238*x237) - 3.7964271402358*(x199*x237 - x198*x238))*b300 + x168
        =E= 0;

e170.. -(36.7522868840276*(sqr(x207) + sqr(x246)) - 36.7522868840276*(x207*x220
        + x246*x259) - 0.675593508897567*(x207*x259 - x220*x246))*b301 + x169
        =E= 0;

e171.. -(36.7522868840276*(sqr(x220) + sqr(x259)) - 36.7522868840276*(x220*x207
        + x259*x246) - 0.675593508897567*(x220*x246 - x207*x259))*b301 + x170
        =E= 0;

e172.. -(15.3535187064899*(sqr(x210) + sqr(x249)) - 15.8680187064899*(x210*x213
        + x249*x252) - 1.44716330603188*(x210*x252 - x213*x249))*b302 + x171
        =E= 0;

e173.. -(15.3535187064899*(sqr(x213) + sqr(x252)) - 15.8680187064899*(x213*x210
        + x252*x249) - 1.44716330603188*(x213*x249 - x210*x252))*b302 + x172
        =E= 0;

e174.. -(70.2518181368426*(sqr(x203) + sqr(x242)) - 70.2518181368426*(x203*x217
        + x242*x256) - 3.46311779547816*(x203*x256 - x217*x242))*b303 + x173
        =E= 0;

e175.. -(70.2518181368426*(sqr(x217) + sqr(x256)) - 70.2518181368426*(x217*x203
        + x256*x242) - 3.46311779547816*(x217*x242 - x203*x256))*b303 + x174
        =E= 0;

e176.. -(77.1532885064352*(sqr(x188) + sqr(x227)) - 77.2223885064352*(x188*x198
        + x227*x237) - 4.78898533373242*(x188*x237 - x198*x227))*b304 + x175
        =E= 0;

e177.. -(77.1532885064352*(sqr(x198) + sqr(x237)) - 77.2223885064352*(x198*x188
        + x237*x227) - 4.78898533373242*(x198*x227 - x188*x237))*b304 + x176
        =E= 0;

e178.. -(230.526552680965*(sqr(x194) + sqr(x233)) - 230.563002680965*(x194*x195
        + x233*x234) - 21.4477211796247*(x194*x234 - x195*x233))*b305 + x177
        =E= 0;

e179.. -(230.526552680965*(sqr(x195) + sqr(x234)) - 230.563002680965*(x195*x194
        + x234*x233) - 21.4477211796247*(x195*x233 - x194*x234))*b305 + x178
        =E= 0;

e180.. -(69.8684443721535*(sqr(x186) + sqr(x225)) - 69.9414443721535*(x186*x209
        + x225*x248) - 56.9290826284971*(x186*x248 - x209*x225))*b306 + x179
        =E= 0;

e181.. -(69.8684443721535*(sqr(x209) + sqr(x248)) - 69.9414443721535*(x209*x186
        + x248*x225) - 56.9290826284971*(x209*x225 - x186*x248))*b306 + x180
        =E= 0;

e182.. -(215.720849906191*(sqr(x191) + sqr(x230)) - 215.759849906191*(x191*x192
        + x230*x231) - 18.7617260787993*(x191*x231 - x192*x230))*b307 + x181
        =E= 0;

e183.. -(215.720849906191*(sqr(x192) + sqr(x231)) - 215.759849906191*(x192*x191
        + x231*x230) - 18.7617260787993*(x192*x230 - x191*x231))*b307 + x182
        =E= 0;

e184.. -(20.5347427325902*(sqr(x210) + sqr(x249)) - 20.9248427325902*(x210*x212
        + x249*x251) - 1.89824522679616*(x210*x251 - x212*x249))*b308 + x183
        =E= 0;

e185.. -(20.5347427325902*(sqr(x212) + sqr(x251)) - 20.9248427325902*(x212*x210
        + x251*x249) - 1.89824522679616*(x212*x249 - x210*x251))*b308 + 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..    x309 =L= 10.4;

e357..    x310 =L= 6.46;

e358..    x311 =L= 7.25;

e359..    x312 =L= 6.52;

e360..    x313 =L= 5.08;

e361..    x314 =L= 6.87;

e362..    x315 =L= 5.8;

e363..    x316 =L= 5.64;

e364..    x317 =L= 8.65;

e365..    x318 =L= 11;

e366..    x309 =G= 0;

e367..    x310 =G= 0;

e368..    x311 =G= 0;

e369..    x312 =G= 0;

e370..    x313 =G= 0;

e371..    x314 =G= 0;

e372..    x315 =G= 0;

e373..    x316 =G= 0;

e374..    x317 =G= 0;

e375..    x318 =G= 0;

e376..    x319 =L= 4;

e377..    x320 =L= 3;

e378..    x321 =L= 3;

e379..    x322 =L= 2.5;

e380..    x323 =L= 1.67;

e381..    x324 =L= 3;

e382..    x325 =L= 2.4;

e383..    x326 =L= 2.5;

e384..    x327 =L= 3;

e385..    x328 =L= 3;

e386..    x319 =G= 1.4;

e387..    x320 =G= -1;

e388..    x321 =G= 1.5;

e389..    x322 =G= 0;

e390..    x323 =G= 0;

e391..    x324 =G= -1;

e392..    x325 =G= 0;

e393..    x326 =G= 0;

e394..    x327 =G= -1.5;

e395..    x328 =G= -1;

e396..    x254 =E= 0;

e397..    x64 - x309 =E= 0;

e398..    x8 - x310 =E= -0.092;

e399..    x16 - x311 =E= 0;

e400..    x82 - x312 =E= 0;

e401..    x30 - x313 =E= 0;

e402..    x22 - x314 =E= 0;

e403..    x78 - x315 =E= 0;

e404..    x72 - x316 =E= 0;

e405..    x74 - x317 =E= 0;

e406..    x12 + x58 - x318 =E= -11.04;

e407..    x156 - x319 =E= 0;

e408..    x100 - x320 =E= -0.046;

e409..    x108 - x321 =E= 0;

e410..    x174 - x322 =E= 0;

e411..    x122 - x323 =E= 0;

e412..    x114 - x324 =E= 0;

e413..    x170 - x325 =E= 0;

e414..    x164 - x326 =E= 0;

e415..    x166 - x327 =E= 0;

e416..    x104 + x150 - x328 =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 MINLP $set MINLP MINLP
Solve m using %MINLP% minimizing objvar;


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