MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance powerflow0039p
Optimal Power Flow problem modeled using trigonometric functions (polar coordinates)
| Formatsⓘ | ams gms mod nl osil py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 2.00000000 (COUENNE) 41818.27916000 (GUROBI) 3504.98511500 (LINDO) 107.44440070 (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ⓘ | NLP |
| #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ⓘ | 657 |
| #Linear Constraintsⓘ | 381 |
| #Quadratic Constraintsⓘ | 92 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 184 |
| Operands in Gen. Nonlin. Functionsⓘ | cos mul sin sqr |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 1795 |
| #Nonlinear Nonzeros in Jacobianⓘ | 920 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 718 |
| #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ⓘ | 6.7559e-01 |
| Maximal coefficientⓘ | 3.8235e+02 |
| Infeasibility of initial pointⓘ | 11.04 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 658 264 151 243 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
* 1806 876 930 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,e475,e476,e477,e478,e479,e480
,e481,e482,e483,e484,e485,e486,e487,e488,e489,e490,e491,e492,e493
,e494,e495,e496,e497,e498,e499,e500,e501,e502,e503,e504,e505,e506
,e507,e508,e509,e510,e511,e512,e513,e514,e515,e516,e517,e518,e519
,e520,e521,e522,e523,e524,e525,e526,e527,e528,e529,e530,e531,e532
,e533,e534,e535,e536,e537,e538,e539,e540,e541,e542,e543,e544,e545
,e546,e547,e548,e549,e550,e551,e552,e553,e554,e555,e556,e557,e558
,e559,e560,e561,e562,e563,e564,e565,e566,e567,e568,e569,e570,e571
,e572,e573,e574,e575,e576,e577,e578,e579,e580,e581,e582,e583,e584
,e585,e586,e587,e588,e589,e590,e591,e592,e593,e594,e595,e596,e597
,e598,e599,e600,e601,e602,e603,e604,e605,e606,e607,e608,e609,e610
,e611,e612,e613,e614,e615,e616,e617,e618,e619,e620,e621,e622,e623
,e624,e625,e626,e627,e628,e629,e630,e631,e632,e633,e634,e635,e636
,e637,e638,e639,e640,e641,e642,e643,e644,e645,e646,e647,e648,e649
,e650,e651,e652,e653,e654,e655,e656,e657,e658;
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.. 0.844411840765037*x12*x13*cos(x235 - x236) - 0.844411840765037*sqr(x12) -
22.9574469207994*x12*x13*sin(x235 - x236) + x40 =E= 0;
e3.. 0.844411840765037*x13*x12*cos(x236 - x235) - 0.844411840765037*sqr(x13) -
22.9574469207994*x13*x12*sin(x236 - x235) + x41 =E= 0;
e4.. 6.34517766497462*x5*x8*cos(x228 - x231) - 6.34517766497462*sqr(x5) -
88.8324873096447*x5*x8*sin(x228 - x231) + x42 =E= 0;
e5.. 6.34517766497462*x8*x5*cos(x231 - x228) - 6.34517766497462*sqr(x8) -
88.8324873096447*x8*x5*sin(x231 - x228) + x43 =E= 0;
e6.. 8.78293601003764*x16*x17*cos(x239 - x240) - 8.78293601003764*sqr(x16) -
111.668757841907*x16*x17*sin(x239 - x240) + x44 =E= 0;
e7.. 8.78293601003764*x17*x16*cos(x240 - x239) - 8.78293601003764*sqr(x17) -
111.668757841907*x17*x16*sin(x240 - x239) + x45 =E= 0;
e8.. -40*x6*x31*sin(x229 - x254) + x46 =E= 0;
e9.. -40*x31*x6*sin(x254 - x229) + x47 =E= 0;
e10.. 7.05882352941176*x6*x7*cos(x229 - x230) - 7.05882352941176*sqr(x6) -
108.235294117647*x6*x7*sin(x229 - x230) + x48 =E= 0;
e11.. 7.05882352941176*x7*x6*cos(x230 - x229) - 7.05882352941176*sqr(x7) -
108.235294117647*x7*x6*sin(x230 - x229) + x49 =E= 0;
e12.. 1.59744408945687*x1*x39*cos(x224 - x262) - 1.59744408945687*sqr(x1) -
39.9361022364217*x1*x39*sin(x224 - x262) + x50 =E= 0;
e13.. 1.59744408945687*x39*x1*cos(x262 - x224) - 1.59744408945687*sqr(x39) -
39.9361022364217*x39*x1*sin(x262 - x224) + x51 =E= 0;
e14.. 6.42054574638844*x26*x27*cos(x249 - x250) - 6.42054574638844*sqr(x26) -
67.4157303370787*x26*x27*sin(x249 - x250) + x52 =E= 0;
e15.. 6.42054574638844*x27*x26*cos(x250 - x249) - 6.42054574638844*sqr(x27) -
67.4157303370787*x27*x26*sin(x250 - x249) + x53 =E= 0;
e16.. -50*x10*x32*sin(x233 - x255) + x54 =E= 0;
e17.. -50*x32*x10*sin(x255 - x233) + x55 =E= 0;
e18.. 2.0570568805614*x1*x2*cos(x224 - x225) - 2.0570568805614*sqr(x1) -
24.1557250831639*x1*x2*sin(x224 - x225) + x56 =E= 0;
e19.. 2.0570568805614*x2*x1*cos(x225 - x224) - 2.0570568805614*sqr(x2) -
24.1557250831639*x2*x1*sin(x225 - x224) + x57 =E= 0;
e20.. 2.85475866309456*x3*x4*cos(x226 - x227) - 2.85475866309456*sqr(x3) -
46.7741227107032*x3*x4*sin(x226 - x227) + x58 =E= 0;
e21.. 2.85475866309456*x4*x3*cos(x227 - x226) - 2.85475866309456*sqr(x4) -
46.7741227107032*x4*x3*sin(x227 - x226) + x59 =E= 0;
e22.. -69.9300699300699*x22*x35*sin(x245 - x258) + x60 =E= 0;
e23.. -69.9300699300699*x35*x22*sin(x258 - x245) + x61 =E= 0;
e24.. 5.65955594253374*x2*x3*cos(x225 - x226) - 5.65955594253374*sqr(x2) -
65.737919024815*x2*x3*sin(x225 - x226) + x62 =E= 0;
e25.. 5.65955594253374*x3*x2*cos(x226 - x225) - 5.65955594253374*sqr(x3) -
65.737919024815*x3*x2*sin(x226 - x225) + x63 =E= 0;
e26.. 1.78885058218955*x23*x24*cos(x246 - x247) - 1.78885058218955*sqr(x23) -
28.4589865348338*x23*x24*sin(x246 - x247) + x64 =E= 0;
e27.. 1.78885058218955*x24*x23*cos(x247 - x246) - 1.78885058218955*sqr(x24) -
28.4589865348338*x24*x23*sin(x247 - x246) + x65 =E= 0;
e28.. 6.08775057616211*x28*x29*cos(x251 - x252) - 6.08775057616211*sqr(x28) -
65.660738357177*x28*x29*sin(x251 - x252) + x66 =E= 0;
e29.. 6.08775057616211*x29*x28*cos(x252 - x251) - 6.08775057616211*sqr(x29) -
65.660738357177*x29*x28*sin(x252 - x251) + x67 =E= 0;
e30.. 2.7708506511499*x20*x34*cos(x243 - x257) - 2.7708506511499*sqr(x20) -
55.4170130229981*x20*x34*sin(x243 - x257) + x68 =E= 0;
e31.. 2.7708506511499*x34*x20*cos(x257 - x243) - 2.7708506511499*sqr(x34) -
55.4170130229981*x34*x20*sin(x257 - x243) + x69 =E= 0;
e32.. 1.73849944821539*x8*x9*cos(x231 - x232) - 1.73849944821539*sqr(x8) -
27.4380565087908*x8*x9*sin(x231 - x232) + x70 =E= 0;
e33.. 1.73849944821539*x9*x8*cos(x232 - x231) - 1.73849944821539*sqr(x9) -
27.4380565087908*x9*x8*sin(x232 - x231) + x71 =E= 0;
e34.. 4.31922386869559*x17*x27*cos(x240 - x250) - 4.31922386869559*sqr(x17) -
57.4789022526414*x17*x27*sin(x240 - x250) + x72 =E= 0;
e35.. 4.31922386869559*x27*x17*cos(x250 - x240) - 4.31922386869559*sqr(x27) -
57.4789022526414*x27*x17*sin(x250 - x240) + x73 =E= 0;
e36.. 4.06834825061025*x21*x22*cos(x244 - x245) - 4.06834825061025*sqr(x21) -
71.1960943856794*x21*x22*sin(x244 - x245) + x74 =E= 0;
e37.. 4.06834825061025*x22*x21*cos(x245 - x244) - 4.06834825061025*sqr(x22) -
71.1960943856794*x22*x21*sin(x245 - x244) + x75 =E= 0;
e38.. 10.335154289089*x6*x11*cos(x229 - x234) - 10.335154289089*sqr(x6) -
121.068950243614*x6*x11*sin(x229 - x234) + x76 =E= 0;
e39.. 10.335154289089*x11*x6*cos(x234 - x229) - 10.335154289089*sqr(x11) -
121.068950243614*x11*x6*sin(x234 - x229) + x77 =E= 0;
e40.. 6.17630544637844*x3*x18*cos(x226 - x241) - 6.17630544637844*sqr(x3) -
74.6771476698484*x3*x18*sin(x226 - x241) + x78 =E= 0;
e41.. 6.17630544637844*x18*x3*cos(x241 - x226) - 6.17630544637844*sqr(x18) -
74.6771476698484*x18*x3*sin(x241 - x226) + x79 =E= 0;
e42.. 4.17961913220658*x16*x19*cos(x239 - x242) - 4.17961913220658*sqr(x16) -
50.9391081737677*x16*x19*sin(x239 - x242) + x80 =E= 0;
e43.. 4.17961913220658*x19*x16*cos(x242 - x239) - 4.17961913220658*sqr(x19) -
50.9391081737677*x19*x16*sin(x242 - x239) + x81 =E= 0;
e44.. 3.66626512334363*x19*x20*cos(x242 - x243) - 3.66626512334363*sqr(x19) -
72.2777981459174*x19*x20*sin(x242 - x243) + x82 =E= 0;
e45.. 3.66626512334363*x20*x19*cos(x243 - x242) - 3.66626512334363*sqr(x20) -
72.2777981459174*x20*x19*sin(x243 - x242) + x83 =E= 0;
e46.. 3.03740757263675*x25*x26*cos(x248 - x249) - 3.03740757263675*sqr(x25) -
30.6588326863022*x25*x26*sin(x248 - x249) + x84 =E= 0;
e47.. 3.03740757263675*x26*x25*cos(x249 - x248) - 3.03740757263675*sqr(x26) -
30.6588326863022*x26*x25*sin(x249 - x248) + x85 =E= 0;
e48.. 10.0930806324997*x15*x16*cos(x238 - x239) - 10.0930806324997*sqr(x15) -
105.416619939442*x15*x16*sin(x238 - x239) + x86 =E= 0;
e49.. 10.0930806324997*x16*x15*cos(x239 - x238) - 10.0930806324997*sqr(x16) -
105.416619939442*x16*x15*sin(x239 - x238) + x87 =E= 0;
e50.. 0.844411840765037*x12*x11*cos(x235 - x234) - 0.844411840765037*sqr(x12)
- 22.9574469207994*x12*x11*sin(x235 - x234) + x88 =E= 0;
e51.. 0.844411840765037*x11*x12*cos(x234 - x235) - 0.844411840765037*sqr(x11)
- 22.9574469207994*x11*x12*sin(x234 - x235) + x89 =E= 0;
e52.. 10.335154289089*x17*x18*cos(x240 - x241) - 10.335154289089*sqr(x17) -
121.068950243614*x17*x18*sin(x240 - x241) + x90 =E= 0;
e53.. 10.335154289089*x18*x17*cos(x241 - x240) - 10.335154289089*sqr(x18) -
121.068950243614*x18*x17*sin(x241 - x240) + x91 =E= 0;
e54.. 4.86381322957198*x4*x5*cos(x227 - x228) - 4.86381322957198*sqr(x4) -
77.8210116731518*x4*x5*sin(x227 - x228) + x92 =E= 0;
e55.. 4.86381322957198*x5*x4*cos(x228 - x227) - 4.86381322957198*sqr(x5) -
77.8210116731518*x5*x4*sin(x228 - x227) + x93 =E= 0;
e56.. 4.37421400842036*x16*x21*cos(x239 - x244) - 4.37421400842036*sqr(x16) -
73.8148613920936*x16*x21*sin(x239 - x244) + x94 =E= 0;
e57.. 4.37421400842036*x21*x16*cos(x244 - x239) - 4.37421400842036*sqr(x21) -
73.8148613920936*x21*x16*sin(x244 - x239) + x95 =E= 0;
e58.. 1.59744408945687*x9*x39*cos(x232 - x262) - 1.59744408945687*sqr(x9) -
39.9361022364217*x9*x39*sin(x232 - x262) + x96 =E= 0;
e59.. 1.59744408945687*x39*x9*cos(x262 - x232) - 1.59744408945687*sqr(x39) -
39.9361022364217*x39*x9*sin(x262 - x232) + x97 =E= 0;
e60.. 6.48508430609598*x22*x23*cos(x245 - x246) - 6.48508430609598*sqr(x22) -
103.761348897536*x22*x23*sin(x245 - x246) + x98 =E= 0;
e61.. 6.48508430609598*x23*x22*cos(x246 - x245) - 6.48508430609598*sqr(x23) -
103.761348897536*x23*x22*sin(x246 - x245) + x99 =E= 0;
e62.. 8.75316086364521*x13*x14*cos(x236 - x237) - 8.75316086364521*sqr(x13) -
98.2299163586851*x13*x14*sin(x236 - x237) + x100 =E= 0;
e63.. 8.75316086364521*x14*x13*cos(x237 - x236) - 8.75316086364521*sqr(x14) -
98.2299163586851*x14*x13*sin(x237 - x236) + x101 =E= 0;
e64.. -55.2486187845304*x2*x30*sin(x225 - x253) + x102 =E= 0;
e65.. -55.2486187845304*x30*x2*sin(x253 - x225) + x103 =E= 0;
e66.. 21.4477211796247*x10*x13*cos(x233 - x236) - 21.4477211796247*sqr(x10) -
230.563002680965*x10*x13*sin(x233 - x236) + x104 =E= 0;
e67.. 21.4477211796247*x13*x10*cos(x236 - x233) - 21.4477211796247*sqr(x13) -
230.563002680965*x13*x10*sin(x236 - x233) + x105 =E= 0;
e68.. 29.4117647058824*x5*x6*cos(x228 - x229) - 29.4117647058824*sqr(x5) -
382.352941176471*x5*x6*sin(x228 - x229) + x106 =E= 0;
e69.. 29.4117647058824*x6*x5*cos(x229 - x228) - 29.4117647058824*sqr(x6) -
382.352941176471*x6*x5*sin(x229 - x228) + x107 =E= 0;
e70.. 8.59598853868195*x16*x24*cos(x239 - x247) - 8.59598853868195*sqr(x16) -
169.054441260745*x16*x24*sin(x239 - x247) + x108 =E= 0;
e71.. 8.59598853868195*x24*x16*cos(x247 - x239) - 8.59598853868195*sqr(x24) -
169.054441260745*x24*x16*sin(x247 - x239) + x109 =E= 0;
e72.. 1.11399925733383*x25*x37*cos(x248 - x260) - 1.11399925733383*sqr(x25) -
43.0746379502414*x25*x37*sin(x248 - x260) + x110 =E= 0;
e73.. 1.11399925733383*x37*x25*cos(x260 - x248) - 1.11399925733383*sqr(x37) -
43.0746379502414*x37*x25*sin(x260 - x248) + x111 =E= 0;
e74.. 3.27868852459016*x29*x38*cos(x252 - x261) - 3.27868852459016*sqr(x29) -
63.9344262295082*x29*x38*sin(x252 - x261) + x112 =E= 0;
e75.. 3.27868852459016*x38*x29*cos(x261 - x252) - 3.27868852459016*sqr(x38) -
63.9344262295082*x38*x29*sin(x261 - x252) + x113 =E= 0;
e76.. 3.7964271402358*x14*x15*cos(x237 - x238) - 3.7964271402358*sqr(x14) -
45.7680383017316*x14*x15*sin(x237 - x238) + x114 =E= 0;
e77.. 3.7964271402358*x15*x14*cos(x238 - x237) - 3.7964271402358*sqr(x15) -
45.7680383017316*x15*x14*sin(x238 - x237) + x115 =E= 0;
e78.. 0.675593508897567*x23*x36*cos(x246 - x259) - 0.675593508897567*sqr(x23)
- 36.7522868840276*x23*x36*sin(x246 - x259) + x116 =E= 0;
e79.. 0.675593508897567*x36*x23*cos(x259 - x246) - 0.675593508897567*sqr(x36)
- 36.7522868840276*x36*x23*sin(x259 - x246) + x117 =E= 0;
e80.. 1.44716330603188*x26*x29*cos(x249 - x252) - 1.44716330603188*sqr(x26) -
15.8680187064899*x26*x29*sin(x249 - x252) + x118 =E= 0;
e81.. 1.44716330603188*x29*x26*cos(x252 - x249) - 1.44716330603188*sqr(x29) -
15.8680187064899*x29*x26*sin(x252 - x249) + x119 =E= 0;
e82.. 3.46311779547816*x19*x33*cos(x242 - x256) - 3.46311779547816*sqr(x19) -
70.2518181368426*x19*x33*sin(x242 - x256) + x120 =E= 0;
e83.. 3.46311779547816*x33*x19*cos(x256 - x242) - 3.46311779547816*sqr(x33) -
70.2518181368426*x33*x19*sin(x256 - x242) + x121 =E= 0;
e84.. 4.78898533373242*x4*x14*cos(x227 - x237) - 4.78898533373242*sqr(x4) -
77.2223885064352*x4*x14*sin(x227 - x237) + x122 =E= 0;
e85.. 4.78898533373242*x14*x4*cos(x237 - x227) - 4.78898533373242*sqr(x14) -
77.2223885064352*x14*x4*sin(x237 - x227) + x123 =E= 0;
e86.. 21.4477211796247*x10*x11*cos(x233 - x234) - 21.4477211796247*sqr(x10) -
230.563002680965*x10*x11*sin(x233 - x234) + x124 =E= 0;
e87.. 21.4477211796247*x11*x10*cos(x234 - x233) - 21.4477211796247*sqr(x11) -
230.563002680965*x11*x10*sin(x234 - x233) + x125 =E= 0;
e88.. 56.9290826284971*x2*x25*cos(x225 - x248) - 56.9290826284971*sqr(x2) -
69.9414443721535*x2*x25*sin(x225 - x248) + x126 =E= 0;
e89.. 56.9290826284971*x25*x2*cos(x248 - x225) - 56.9290826284971*sqr(x25) -
69.9414443721535*x25*x2*sin(x248 - x225) + x127 =E= 0;
e90.. 18.7617260787993*x7*x8*cos(x230 - x231) - 18.7617260787993*sqr(x7) -
215.759849906191*x7*x8*sin(x230 - x231) + x128 =E= 0;
e91.. 18.7617260787993*x8*x7*cos(x231 - x230) - 18.7617260787993*sqr(x8) -
215.759849906191*x8*x7*sin(x231 - x230) + x129 =E= 0;
e92.. 1.89824522679616*x26*x28*cos(x249 - x251) - 1.89824522679616*sqr(x26) -
20.9248427325902*x26*x28*sin(x249 - x251) + x130 =E= 0;
e93.. 1.89824522679616*x28*x26*cos(x251 - x249) - 1.89824522679616*sqr(x28) -
20.9248427325902*x28*x26*sin(x251 - x249) + x131 =E= 0;
e94.. 22.9574469207994*x12*x13*cos(x235 - x236) - 22.9574469207994*sqr(x12) +
0.844411840765037*x12*x13*sin(x235 - x236) + x132 =E= 0;
e95.. 22.9574469207994*x13*x12*cos(x236 - x235) - 22.9574469207994*sqr(x13) +
0.844411840765037*x13*x12*sin(x236 - x235) + x133 =E= 0;
e96.. 88.8324873096447*x5*x8*cos(x228 - x231) - 88.7586873096447*sqr(x5) +
6.34517766497462*x5*x8*sin(x228 - x231) + x134 =E= 0;
e97.. 88.8324873096447*x8*x5*cos(x231 - x228) - 88.7586873096447*sqr(x8) +
6.34517766497462*x8*x5*sin(x231 - x228) + x135 =E= 0;
e98.. 111.668757841907*x16*x17*cos(x239 - x240) - 111.601657841907*sqr(x16) +
8.78293601003764*x16*x17*sin(x239 - x240) + x136 =E= 0;
e99.. 111.668757841907*x17*x16*cos(x240 - x239) - 111.601657841907*sqr(x17) +
8.78293601003764*x17*x16*sin(x240 - x239) + x137 =E= 0;
e100.. 40*x6*x31*cos(x229 - x254) - 40*sqr(x6) + x138 =E= 0;
e101.. 40*x31*x6*cos(x254 - x229) - 40*sqr(x31) + x139 =E= 0;
e102.. 108.235294117647*x6*x7*cos(x229 - x230) - 108.178794117647*sqr(x6) +
7.05882352941176*x6*x7*sin(x229 - x230) + x140 =E= 0;
e103.. 108.235294117647*x7*x6*cos(x230 - x229) - 108.178794117647*sqr(x7) +
7.05882352941176*x7*x6*sin(x230 - x229) + x141 =E= 0;
e104.. 39.9361022364217*x1*x39*cos(x224 - x262) - 39.5611022364217*sqr(x1) +
1.59744408945687*x1*x39*sin(x224 - x262) + x142 =E= 0;
e105.. 39.9361022364217*x39*x1*cos(x262 - x224) - 39.5611022364217*sqr(x39) +
1.59744408945687*x39*x1*sin(x262 - x224) + x143 =E= 0;
e106.. 67.4157303370787*x26*x27*cos(x249 - x250) - 67.2959303370787*sqr(x26) +
6.42054574638844*x26*x27*sin(x249 - x250) + x144 =E= 0;
e107.. 67.4157303370787*x27*x26*cos(x250 - x249) - 67.2959303370787*sqr(x27) +
6.42054574638844*x27*x26*sin(x250 - x249) + x145 =E= 0;
e108.. 50*x10*x32*cos(x233 - x255) - 50*sqr(x10) + x146 =E= 0;
e109.. 50*x32*x10*cos(x255 - x233) - 50*sqr(x32) + x147 =E= 0;
e110.. 24.1557250831639*x1*x2*cos(x224 - x225) - 23.8063750831639*sqr(x1) +
2.0570568805614*x1*x2*sin(x224 - x225) + x148 =E= 0;
e111.. 24.1557250831639*x2*x1*cos(x225 - x224) - 23.8063750831639*sqr(x2) +
2.0570568805614*x2*x1*sin(x225 - x224) + x149 =E= 0;
e112.. 46.7741227107032*x3*x4*cos(x226 - x227) - 46.6634227107032*sqr(x3) +
2.85475866309456*x3*x4*sin(x226 - x227) + x150 =E= 0;
e113.. 46.7741227107032*x4*x3*cos(x227 - x226) - 46.6634227107032*sqr(x4) +
2.85475866309456*x4*x3*sin(x227 - x226) + x151 =E= 0;
e114.. 69.9300699300699*x22*x35*cos(x245 - x258) - 69.9300699300699*sqr(x22)
+ x152 =E= 0;
e115.. 69.9300699300699*x35*x22*cos(x258 - x245) - 69.9300699300699*sqr(x35)
+ x153 =E= 0;
e116.. 65.737919024815*x2*x3*cos(x225 - x226) - 65.609319024815*sqr(x2) +
5.65955594253374*x2*x3*sin(x225 - x226) + x154 =E= 0;
e117.. 65.737919024815*x3*x2*cos(x226 - x225) - 65.609319024815*sqr(x3) +
5.65955594253374*x3*x2*sin(x226 - x225) + x155 =E= 0;
e118.. 28.4589865348338*x23*x24*cos(x246 - x247) - 28.2784865348338*sqr(x23) +
1.78885058218955*x23*x24*sin(x246 - x247) + x156 =E= 0;
e119.. 28.4589865348338*x24*x23*cos(x247 - x246) - 28.2784865348338*sqr(x24) +
1.78885058218955*x24*x23*sin(x247 - x246) + x157 =E= 0;
e120.. 65.660738357177*x28*x29*cos(x251 - x252) - 65.536238357177*sqr(x28) +
6.08775057616211*x28*x29*sin(x251 - x252) + x158 =E= 0;
e121.. 65.660738357177*x29*x28*cos(x252 - x251) - 65.536238357177*sqr(x29) +
6.08775057616211*x29*x28*sin(x252 - x251) + x159 =E= 0;
e122.. 55.4170130229981*x20*x34*cos(x243 - x257) - 55.4170130229981*sqr(x20) +
2.7708506511499*x20*x34*sin(x243 - x257) + x160 =E= 0;
e123.. 55.4170130229981*x34*x20*cos(x257 - x243) - 55.4170130229981*sqr(x34) +
2.7708506511499*x34*x20*sin(x257 - x243) + x161 =E= 0;
e124.. 27.4380565087908*x8*x9*cos(x231 - x232) - 27.2478565087908*sqr(x8) +
1.73849944821539*x8*x9*sin(x231 - x232) + x162 =E= 0;
e125.. 27.4380565087908*x9*x8*cos(x232 - x231) - 27.2478565087908*sqr(x9) +
1.73849944821539*x9*x8*sin(x232 - x231) + x163 =E= 0;
e126.. 57.4789022526414*x17*x27*cos(x240 - x250) - 57.3181022526414*sqr(x17) +
4.31922386869559*x17*x27*sin(x240 - x250) + x164 =E= 0;
e127.. 57.4789022526414*x27*x17*cos(x250 - x240) - 57.3181022526414*sqr(x27) +
4.31922386869559*x27*x17*sin(x250 - x240) + x165 =E= 0;
e128.. 71.1960943856794*x21*x22*cos(x244 - x245) - 71.0678443856794*sqr(x21) +
4.06834825061025*x21*x22*sin(x244 - x245) + x166 =E= 0;
e129.. 71.1960943856794*x22*x21*cos(x245 - x244) - 71.0678443856794*sqr(x22) +
4.06834825061025*x22*x21*sin(x245 - x244) + x167 =E= 0;
e130.. 121.068950243614*x6*x11*cos(x229 - x234) - 120.999500243614*sqr(x6) +
10.335154289089*x6*x11*sin(x229 - x234) + x168 =E= 0;
e131.. 121.068950243614*x11*x6*cos(x234 - x229) - 120.999500243614*sqr(x11) +
10.335154289089*x11*x6*sin(x234 - x229) + x169 =E= 0;
e132.. 74.6771476698484*x3*x18*cos(x226 - x241) - 74.5702476698484*sqr(x3) +
6.17630544637844*x3*x18*sin(x226 - x241) + x170 =E= 0;
e133.. 74.6771476698484*x18*x3*cos(x241 - x226) - 74.5702476698484*sqr(x18) +
6.17630544637844*x18*x3*sin(x241 - x226) + x171 =E= 0;
e134.. 50.9391081737677*x16*x19*cos(x239 - x242) - 50.7871081737677*sqr(x16) +
4.17961913220658*x16*x19*sin(x239 - x242) + x172 =E= 0;
e135.. 50.9391081737677*x19*x16*cos(x242 - x239) - 50.7871081737677*sqr(x19) +
4.17961913220658*x19*x16*sin(x242 - x239) + x173 =E= 0;
e136.. 72.2777981459174*x19*x20*cos(x242 - x243) - 72.2777981459174*sqr(x19) +
3.66626512334363*x19*x20*sin(x242 - x243) + x174 =E= 0;
e137.. 72.2777981459174*x20*x19*cos(x243 - x242) - 72.2777981459174*sqr(x20) +
3.66626512334363*x20*x19*sin(x243 - x242) + x175 =E= 0;
e138.. 30.6588326863022*x25*x26*cos(x248 - x249) - 30.3933326863022*sqr(x25) +
3.03740757263675*x25*x26*sin(x248 - x249) + x176 =E= 0;
e139.. 30.6588326863022*x26*x25*cos(x249 - x248) - 30.3933326863022*sqr(x26) +
3.03740757263675*x26*x25*sin(x249 - x248) + x177 =E= 0;
e140.. 105.416619939442*x15*x16*cos(x238 - x239) - 105.331119939442*sqr(x15) +
10.0930806324997*x15*x16*sin(x238 - x239) + x178 =E= 0;
e141.. 105.416619939442*x16*x15*cos(x239 - x238) - 105.331119939442*sqr(x16) +
10.0930806324997*x16*x15*sin(x239 - x238) + x179 =E= 0;
e142.. 22.9574469207994*x12*x11*cos(x235 - x234) - 22.9574469207994*sqr(x12) +
0.844411840765037*x12*x11*sin(x235 - x234) + x180 =E= 0;
e143.. 22.9574469207994*x11*x12*cos(x234 - x235) - 22.9574469207994*sqr(x11) +
0.844411840765037*x11*x12*sin(x234 - x235) + x181 =E= 0;
e144.. 121.068950243614*x17*x18*cos(x240 - x241) - 121.003000243614*sqr(x17) +
10.335154289089*x17*x18*sin(x240 - x241) + x182 =E= 0;
e145.. 121.068950243614*x18*x17*cos(x241 - x240) - 121.003000243614*sqr(x18) +
10.335154289089*x18*x17*sin(x241 - x240) + x183 =E= 0;
e146.. 77.8210116731518*x4*x5*cos(x227 - x228) - 77.7539116731518*sqr(x4) +
4.86381322957198*x4*x5*sin(x227 - x228) + x184 =E= 0;
e147.. 77.8210116731518*x5*x4*cos(x228 - x227) - 77.7539116731518*sqr(x5) +
4.86381322957198*x5*x4*sin(x228 - x227) + x185 =E= 0;
e148.. 73.8148613920936*x16*x21*cos(x239 - x244) - 73.6874613920936*sqr(x16) +
4.37421400842036*x16*x21*sin(x239 - x244) + x186 =E= 0;
e149.. 73.8148613920936*x21*x16*cos(x244 - x239) - 73.6874613920936*sqr(x21) +
4.37421400842036*x21*x16*sin(x244 - x239) + x187 =E= 0;
e150.. 39.9361022364217*x9*x39*cos(x232 - x262) - 39.3361022364217*sqr(x9) +
1.59744408945687*x9*x39*sin(x232 - x262) + x188 =E= 0;
e151.. 39.9361022364217*x39*x9*cos(x262 - x232) - 39.3361022364217*sqr(x39) +
1.59744408945687*x39*x9*sin(x262 - x232) + x189 =E= 0;
e152.. 103.761348897536*x22*x23*cos(x245 - x246) - 103.669048897536*sqr(x22) +
6.48508430609598*x22*x23*sin(x245 - x246) + x190 =E= 0;
e153.. 103.761348897536*x23*x22*cos(x246 - x245) - 103.669048897536*sqr(x23) +
6.48508430609598*x23*x22*sin(x246 - x245) + x191 =E= 0;
e154.. 98.2299163586851*x13*x14*cos(x236 - x237) - 98.1437663586851*sqr(x13) +
8.75316086364521*x13*x14*sin(x236 - x237) + x192 =E= 0;
e155.. 98.2299163586851*x14*x13*cos(x237 - x236) - 98.1437663586851*sqr(x14) +
8.75316086364521*x14*x13*sin(x237 - x236) + x193 =E= 0;
e156.. 55.2486187845304*x2*x30*cos(x225 - x253) - 55.2486187845304*sqr(x2)
+ x194 =E= 0;
e157.. 55.2486187845304*x30*x2*cos(x253 - x225) - 55.2486187845304*sqr(x30)
+ x195 =E= 0;
e158.. 230.563002680965*x10*x13*cos(x233 - x236) - 230.526552680965*sqr(x10) +
21.4477211796247*x10*x13*sin(x233 - x236) + x196 =E= 0;
e159.. 230.563002680965*x13*x10*cos(x236 - x233) - 230.526552680965*sqr(x13) +
21.4477211796247*x13*x10*sin(x236 - x233) + x197 =E= 0;
e160.. 382.352941176471*x5*x6*cos(x228 - x229) - 382.331241176471*sqr(x5) +
29.4117647058824*x5*x6*sin(x228 - x229) + x198 =E= 0;
e161.. 382.352941176471*x6*x5*cos(x229 - x228) - 382.331241176471*sqr(x6) +
29.4117647058824*x6*x5*sin(x229 - x228) + x199 =E= 0;
e162.. 169.054441260745*x16*x24*cos(x239 - x247) - 169.020441260745*sqr(x16) +
8.59598853868195*x16*x24*sin(x239 - x247) + x200 =E= 0;
e163.. 169.054441260745*x24*x16*cos(x247 - x239) - 169.020441260745*sqr(x24) +
8.59598853868195*x24*x16*sin(x247 - x239) + x201 =E= 0;
e164.. 43.0746379502414*x25*x37*cos(x248 - x260) - 43.0746379502414*sqr(x25) +
1.11399925733383*x25*x37*sin(x248 - x260) + x202 =E= 0;
e165.. 43.0746379502414*x37*x25*cos(x260 - x248) - 43.0746379502414*sqr(x37) +
1.11399925733383*x37*x25*sin(x260 - x248) + x203 =E= 0;
e166.. 63.9344262295082*x29*x38*cos(x252 - x261) - 63.9344262295082*sqr(x29) +
3.27868852459016*x29*x38*sin(x252 - x261) + x204 =E= 0;
e167.. 63.9344262295082*x38*x29*cos(x261 - x252) - 63.9344262295082*sqr(x38) +
3.27868852459016*x38*x29*sin(x261 - x252) + x205 =E= 0;
e168.. 45.7680383017316*x14*x15*cos(x237 - x238) - 45.5850383017316*sqr(x14) +
3.7964271402358*x14*x15*sin(x237 - x238) + x206 =E= 0;
e169.. 45.7680383017316*x15*x14*cos(x238 - x237) - 45.5850383017316*sqr(x15) +
3.7964271402358*x15*x14*sin(x238 - x237) + x207 =E= 0;
e170.. 36.7522868840276*x23*x36*cos(x246 - x259) - 36.7522868840276*sqr(x23) +
0.675593508897567*x23*x36*sin(x246 - x259) + x208 =E= 0;
e171.. 36.7522868840276*x36*x23*cos(x259 - x246) - 36.7522868840276*sqr(x36) +
0.675593508897567*x36*x23*sin(x259 - x246) + x209 =E= 0;
e172.. 15.8680187064899*x26*x29*cos(x249 - x252) - 15.3535187064899*sqr(x26) +
1.44716330603188*x26*x29*sin(x249 - x252) + x210 =E= 0;
e173.. 15.8680187064899*x29*x26*cos(x252 - x249) - 15.3535187064899*sqr(x29) +
1.44716330603188*x29*x26*sin(x252 - x249) + x211 =E= 0;
e174.. 70.2518181368426*x19*x33*cos(x242 - x256) - 70.2518181368426*sqr(x19) +
3.46311779547816*x19*x33*sin(x242 - x256) + x212 =E= 0;
e175.. 70.2518181368426*x33*x19*cos(x256 - x242) - 70.2518181368426*sqr(x33) +
3.46311779547816*x33*x19*sin(x256 - x242) + x213 =E= 0;
e176.. 77.2223885064352*x4*x14*cos(x227 - x237) - 77.1532885064352*sqr(x4) +
4.78898533373242*x4*x14*sin(x227 - x237) + x214 =E= 0;
e177.. 77.2223885064352*x14*x4*cos(x237 - x227) - 77.1532885064352*sqr(x14) +
4.78898533373242*x14*x4*sin(x237 - x227) + x215 =E= 0;
e178.. 230.563002680965*x10*x11*cos(x233 - x234) - 230.526552680965*sqr(x10) +
21.4477211796247*x10*x11*sin(x233 - x234) + x216 =E= 0;
e179.. 230.563002680965*x11*x10*cos(x234 - x233) - 230.526552680965*sqr(x11) +
21.4477211796247*x11*x10*sin(x234 - x233) + x217 =E= 0;
e180.. 69.9414443721535*x2*x25*cos(x225 - x248) - 69.8684443721535*sqr(x2) +
56.9290826284971*x2*x25*sin(x225 - x248) + x218 =E= 0;
e181.. 69.9414443721535*x25*x2*cos(x248 - x225) - 69.8684443721535*sqr(x25) +
56.9290826284971*x25*x2*sin(x248 - x225) + x219 =E= 0;
e182.. 215.759849906191*x7*x8*cos(x230 - x231) - 215.720849906191*sqr(x7) +
18.7617260787993*x7*x8*sin(x230 - x231) + x220 =E= 0;
e183.. 215.759849906191*x8*x7*cos(x231 - x230) - 215.720849906191*sqr(x8) +
18.7617260787993*x8*x7*sin(x231 - x230) + x221 =E= 0;
e184.. 20.9248427325902*x26*x28*cos(x249 - x251) - 20.5347427325902*sqr(x26) +
1.89824522679616*x26*x28*sin(x249 - x251) + x222 =E= 0;
e185.. 20.9248427325902*x28*x26*cos(x251 - x249) - 20.5347427325902*sqr(x28) +
1.89824522679616*x28*x26*sin(x251 - x249) + x223 =E= 0;
e186.. sqr(x40) + sqr(x132) =L= 25;
e187.. sqr(x41) + sqr(x133) =L= 25;
e188.. sqr(x42) + sqr(x134) =L= 81;
e189.. sqr(x43) + sqr(x135) =L= 81;
e190.. sqr(x44) + sqr(x136) =L= 36;
e191.. sqr(x45) + sqr(x137) =L= 36;
e192.. sqr(x46) + sqr(x138) =L= 324;
e193.. sqr(x47) + sqr(x139) =L= 324;
e194.. sqr(x48) + sqr(x140) =L= 81;
e195.. sqr(x49) + sqr(x141) =L= 81;
e196.. sqr(x50) + sqr(x142) =L= 100;
e197.. sqr(x51) + sqr(x143) =L= 100;
e198.. sqr(x52) + sqr(x144) =L= 36;
e199.. sqr(x53) + sqr(x145) =L= 36;
e200.. sqr(x54) + sqr(x146) =L= 81;
e201.. sqr(x55) + sqr(x147) =L= 81;
e202.. sqr(x56) + sqr(x148) =L= 36;
e203.. sqr(x57) + sqr(x149) =L= 36;
e204.. sqr(x58) + sqr(x150) =L= 25;
e205.. sqr(x59) + sqr(x151) =L= 25;
e206.. sqr(x60) + sqr(x152) =L= 81;
e207.. sqr(x61) + sqr(x153) =L= 81;
e208.. sqr(x62) + sqr(x154) =L= 25;
e209.. sqr(x63) + sqr(x155) =L= 25;
e210.. sqr(x64) + sqr(x156) =L= 36;
e211.. sqr(x65) + sqr(x157) =L= 36;
e212.. sqr(x66) + sqr(x158) =L= 36;
e213.. sqr(x67) + sqr(x159) =L= 36;
e214.. sqr(x68) + sqr(x160) =L= 81;
e215.. sqr(x69) + sqr(x161) =L= 81;
e216.. sqr(x70) + sqr(x162) =L= 81;
e217.. sqr(x71) + sqr(x163) =L= 81;
e218.. sqr(x72) + sqr(x164) =L= 36;
e219.. sqr(x73) + sqr(x165) =L= 36;
e220.. sqr(x74) + sqr(x166) =L= 81;
e221.. sqr(x75) + sqr(x167) =L= 81;
e222.. sqr(x76) + sqr(x168) =L= 23.04;
e223.. sqr(x77) + sqr(x169) =L= 23.04;
e224.. sqr(x78) + sqr(x170) =L= 25;
e225.. sqr(x79) + sqr(x171) =L= 25;
e226.. sqr(x80) + sqr(x172) =L= 36;
e227.. sqr(x81) + sqr(x173) =L= 36;
e228.. sqr(x82) + sqr(x174) =L= 81;
e229.. sqr(x83) + sqr(x175) =L= 81;
e230.. sqr(x84) + sqr(x176) =L= 36;
e231.. sqr(x85) + sqr(x177) =L= 36;
e232.. sqr(x86) + sqr(x178) =L= 36;
e233.. sqr(x87) + sqr(x179) =L= 36;
e234.. sqr(x88) + sqr(x180) =L= 25;
e235.. sqr(x89) + sqr(x181) =L= 25;
e236.. sqr(x90) + sqr(x182) =L= 36;
e237.. sqr(x91) + sqr(x183) =L= 36;
e238.. sqr(x92) + sqr(x184) =L= 36;
e239.. sqr(x93) + sqr(x185) =L= 36;
e240.. sqr(x94) + sqr(x186) =L= 36;
e241.. sqr(x95) + sqr(x187) =L= 36;
e242.. sqr(x96) + sqr(x188) =L= 81;
e243.. sqr(x97) + sqr(x189) =L= 81;
e244.. sqr(x98) + sqr(x190) =L= 36;
e245.. sqr(x99) + sqr(x191) =L= 36;
e246.. sqr(x100) + sqr(x192) =L= 36;
e247.. sqr(x101) + sqr(x193) =L= 36;
e248.. sqr(x102) + sqr(x194) =L= 81;
e249.. sqr(x103) + sqr(x195) =L= 81;
e250.. sqr(x104) + sqr(x196) =L= 36;
e251.. sqr(x105) + sqr(x197) =L= 36;
e252.. sqr(x106) + sqr(x198) =L= 144;
e253.. sqr(x107) + sqr(x199) =L= 144;
e254.. sqr(x108) + sqr(x200) =L= 36;
e255.. sqr(x109) + sqr(x201) =L= 36;
e256.. sqr(x110) + sqr(x202) =L= 81;
e257.. sqr(x111) + sqr(x203) =L= 81;
e258.. sqr(x112) + sqr(x204) =L= 144;
e259.. sqr(x113) + sqr(x205) =L= 144;
e260.. sqr(x114) + sqr(x206) =L= 36;
e261.. sqr(x115) + sqr(x207) =L= 36;
e262.. sqr(x116) + sqr(x208) =L= 81;
e263.. sqr(x117) + sqr(x209) =L= 81;
e264.. sqr(x118) + sqr(x210) =L= 36;
e265.. sqr(x119) + sqr(x211) =L= 36;
e266.. sqr(x120) + sqr(x212) =L= 81;
e267.. sqr(x121) + sqr(x213) =L= 81;
e268.. sqr(x122) + sqr(x214) =L= 25;
e269.. sqr(x123) + sqr(x215) =L= 25;
e270.. sqr(x124) + sqr(x216) =L= 36;
e271.. sqr(x125) + sqr(x217) =L= 36;
e272.. sqr(x126) + sqr(x218) =L= 25;
e273.. sqr(x127) + sqr(x219) =L= 25;
e274.. sqr(x128) + sqr(x220) =L= 81;
e275.. sqr(x129) + sqr(x221) =L= 81;
e276.. sqr(x130) + sqr(x222) =L= 36;
e277.. sqr(x131) + sqr(x223) =L= 36;
e278.. x263 =L= 10.4;
e279.. x264 =L= 6.46;
e280.. x265 =L= 7.25;
e281.. x266 =L= 6.52;
e282.. x267 =L= 5.08;
e283.. x268 =L= 6.87;
e284.. x269 =L= 5.8;
e285.. x270 =L= 5.64;
e286.. x271 =L= 8.65;
e287.. x272 =L= 11;
e288.. x263 =G= 0;
e289.. x264 =G= 0;
e290.. x265 =G= 0;
e291.. x266 =G= 0;
e292.. x267 =G= 0;
e293.. x268 =G= 0;
e294.. x269 =G= 0;
e295.. x270 =G= 0;
e296.. x271 =G= 0;
e297.. x272 =G= 0;
e298.. x273 =L= 4;
e299.. x274 =L= 3;
e300.. x275 =L= 3;
e301.. x276 =L= 2.5;
e302.. x277 =L= 1.67;
e303.. x278 =L= 3;
e304.. x279 =L= 2.4;
e305.. x280 =L= 2.5;
e306.. x281 =L= 3;
e307.. x282 =L= 3;
e308.. x273 =G= 1.4;
e309.. x274 =G= -1;
e310.. x275 =G= 1.5;
e311.. x276 =G= 0;
e312.. x277 =G= 0;
e313.. x278 =G= -1;
e314.. x279 =G= 0;
e315.. x280 =G= 0;
e316.. x281 =G= -1.5;
e317.. x282 =G= -1;
e318.. x1 =L= 1.06;
e319.. x2 =L= 1.06;
e320.. x3 =L= 1.06;
e321.. x4 =L= 1.06;
e322.. x5 =L= 1.06;
e323.. x6 =L= 1.06;
e324.. x7 =L= 1.06;
e325.. x8 =L= 1.06;
e326.. x9 =L= 1.06;
e327.. x10 =L= 1.06;
e328.. x11 =L= 1.06;
e329.. x12 =L= 1.06;
e330.. x13 =L= 1.06;
e331.. x14 =L= 1.06;
e332.. x15 =L= 1.06;
e333.. x16 =L= 1.06;
e334.. x17 =L= 1.06;
e335.. x18 =L= 1.06;
e336.. x19 =L= 1.06;
e337.. x20 =L= 1.06;
e338.. x21 =L= 1.06;
e339.. x22 =L= 1.06;
e340.. x23 =L= 1.06;
e341.. x24 =L= 1.06;
e342.. x25 =L= 1.06;
e343.. x26 =L= 1.06;
e344.. x27 =L= 1.06;
e345.. x28 =L= 1.06;
e346.. x29 =L= 1.06;
e347.. x30 =L= 1.06;
e348.. x31 =L= 1.06;
e349.. x32 =L= 1.06;
e350.. x33 =L= 1.06;
e351.. x34 =L= 1.06;
e352.. x35 =L= 1.06;
e353.. x36 =L= 1.06;
e354.. x37 =L= 1.06;
e355.. x38 =L= 1.06;
e356.. x39 =L= 1.06;
e357.. x1 =G= 0.94;
e358.. x2 =G= 0.94;
e359.. x3 =G= 0.94;
e360.. x4 =G= 0.94;
e361.. x5 =G= 0.94;
e362.. x6 =G= 0.94;
e363.. x7 =G= 0.94;
e364.. x8 =G= 0.94;
e365.. x9 =G= 0.94;
e366.. x10 =G= 0.94;
e367.. x11 =G= 0.94;
e368.. x12 =G= 0.94;
e369.. x13 =G= 0.94;
e370.. x14 =G= 0.94;
e371.. x15 =G= 0.94;
e372.. x16 =G= 0.94;
e373.. x17 =G= 0.94;
e374.. x18 =G= 0.94;
e375.. x19 =G= 0.94;
e376.. x20 =G= 0.94;
e377.. x21 =G= 0.94;
e378.. x22 =G= 0.94;
e379.. x23 =G= 0.94;
e380.. x24 =G= 0.94;
e381.. x25 =G= 0.94;
e382.. x26 =G= 0.94;
e383.. x27 =G= 0.94;
e384.. x28 =G= 0.94;
e385.. x29 =G= 0.94;
e386.. x30 =G= 0.94;
e387.. x31 =G= 0.94;
e388.. x32 =G= 0.94;
e389.. x33 =G= 0.94;
e390.. x34 =G= 0.94;
e391.. x35 =G= 0.94;
e392.. x36 =G= 0.94;
e393.. x37 =G= 0.94;
e394.. x38 =G= 0.94;
e395.. x39 =G= 0.94;
e396.. x235 - x236 =G= -0.26;
e397.. - x235 + x236 =G= -0.26;
e398.. x228 - x231 =G= -0.26;
e399.. - x228 + x231 =G= -0.26;
e400.. x239 - x240 =G= -0.26;
e401.. - x239 + x240 =G= -0.26;
e402.. x229 - x254 =G= -0.26;
e403.. - x229 + x254 =G= -0.26;
e404.. x229 - x230 =G= -0.26;
e405.. - x229 + x230 =G= -0.26;
e406.. x224 - x262 =G= -0.26;
e407.. - x224 + x262 =G= -0.26;
e408.. x249 - x250 =G= -0.26;
e409.. - x249 + x250 =G= -0.26;
e410.. x233 - x255 =G= -0.26;
e411.. - x233 + x255 =G= -0.26;
e412.. x224 - x225 =G= -0.26;
e413.. - x224 + x225 =G= -0.26;
e414.. x226 - x227 =G= -0.26;
e415.. - x226 + x227 =G= -0.26;
e416.. x245 - x258 =G= -0.26;
e417.. - x245 + x258 =G= -0.26;
e418.. x225 - x226 =G= -0.26;
e419.. - x225 + x226 =G= -0.26;
e420.. x246 - x247 =G= -0.26;
e421.. - x246 + x247 =G= -0.26;
e422.. x251 - x252 =G= -0.26;
e423.. - x251 + x252 =G= -0.26;
e424.. x243 - x257 =G= -0.26;
e425.. - x243 + x257 =G= -0.26;
e426.. x231 - x232 =G= -0.26;
e427.. - x231 + x232 =G= -0.26;
e428.. x240 - x250 =G= -0.26;
e429.. - x240 + x250 =G= -0.26;
e430.. x244 - x245 =G= -0.26;
e431.. - x244 + x245 =G= -0.26;
e432.. x229 - x234 =G= -0.26;
e433.. - x229 + x234 =G= -0.26;
e434.. x226 - x241 =G= -0.26;
e435.. - x226 + x241 =G= -0.26;
e436.. x239 - x242 =G= -0.26;
e437.. - x239 + x242 =G= -0.26;
e438.. x242 - x243 =G= -0.26;
e439.. - x242 + x243 =G= -0.26;
e440.. x248 - x249 =G= -0.26;
e441.. - x248 + x249 =G= -0.26;
e442.. x238 - x239 =G= -0.26;
e443.. - x238 + x239 =G= -0.26;
e444.. - x234 + x235 =G= -0.26;
e445.. x234 - x235 =G= -0.26;
e446.. x240 - x241 =G= -0.26;
e447.. - x240 + x241 =G= -0.26;
e448.. x227 - x228 =G= -0.26;
e449.. - x227 + x228 =G= -0.26;
e450.. x239 - x244 =G= -0.26;
e451.. - x239 + x244 =G= -0.26;
e452.. x232 - x262 =G= -0.26;
e453.. - x232 + x262 =G= -0.26;
e454.. x245 - x246 =G= -0.26;
e455.. - x245 + x246 =G= -0.26;
e456.. x236 - x237 =G= -0.26;
e457.. - x236 + x237 =G= -0.26;
e458.. x225 - x253 =G= -0.26;
e459.. - x225 + x253 =G= -0.26;
e460.. x233 - x236 =G= -0.26;
e461.. - x233 + x236 =G= -0.26;
e462.. x228 - x229 =G= -0.26;
e463.. - x228 + x229 =G= -0.26;
e464.. x239 - x247 =G= -0.26;
e465.. - x239 + x247 =G= -0.26;
e466.. x248 - x260 =G= -0.26;
e467.. - x248 + x260 =G= -0.26;
e468.. x252 - x261 =G= -0.26;
e469.. - x252 + x261 =G= -0.26;
e470.. x237 - x238 =G= -0.26;
e471.. - x237 + x238 =G= -0.26;
e472.. x246 - x259 =G= -0.26;
e473.. - x246 + x259 =G= -0.26;
e474.. x249 - x252 =G= -0.26;
e475.. - x249 + x252 =G= -0.26;
e476.. x242 - x256 =G= -0.26;
e477.. - x242 + x256 =G= -0.26;
e478.. x227 - x237 =G= -0.26;
e479.. - x227 + x237 =G= -0.26;
e480.. x233 - x234 =G= -0.26;
e481.. - x233 + x234 =G= -0.26;
e482.. x225 - x248 =G= -0.26;
e483.. - x225 + x248 =G= -0.26;
e484.. x230 - x231 =G= -0.26;
e485.. - x230 + x231 =G= -0.26;
e486.. x249 - x251 =G= -0.26;
e487.. - x249 + x251 =G= -0.26;
e488.. x235 - x236 =L= 0.26;
e489.. - x235 + x236 =L= 0.26;
e490.. x228 - x231 =L= 0.26;
e491.. - x228 + x231 =L= 0.26;
e492.. x239 - x240 =L= 0.26;
e493.. - x239 + x240 =L= 0.26;
e494.. x229 - x254 =L= 0.26;
e495.. - x229 + x254 =L= 0.26;
e496.. x229 - x230 =L= 0.26;
e497.. - x229 + x230 =L= 0.26;
e498.. x224 - x262 =L= 0.26;
e499.. - x224 + x262 =L= 0.26;
e500.. x249 - x250 =L= 0.26;
e501.. - x249 + x250 =L= 0.26;
e502.. x233 - x255 =L= 0.26;
e503.. - x233 + x255 =L= 0.26;
e504.. x224 - x225 =L= 0.26;
e505.. - x224 + x225 =L= 0.26;
e506.. x226 - x227 =L= 0.26;
e507.. - x226 + x227 =L= 0.26;
e508.. x245 - x258 =L= 0.26;
e509.. - x245 + x258 =L= 0.26;
e510.. x225 - x226 =L= 0.26;
e511.. - x225 + x226 =L= 0.26;
e512.. x246 - x247 =L= 0.26;
e513.. - x246 + x247 =L= 0.26;
e514.. x251 - x252 =L= 0.26;
e515.. - x251 + x252 =L= 0.26;
e516.. x243 - x257 =L= 0.26;
e517.. - x243 + x257 =L= 0.26;
e518.. x231 - x232 =L= 0.26;
e519.. - x231 + x232 =L= 0.26;
e520.. x240 - x250 =L= 0.26;
e521.. - x240 + x250 =L= 0.26;
e522.. x244 - x245 =L= 0.26;
e523.. - x244 + x245 =L= 0.26;
e524.. x229 - x234 =L= 0.26;
e525.. - x229 + x234 =L= 0.26;
e526.. x226 - x241 =L= 0.26;
e527.. - x226 + x241 =L= 0.26;
e528.. x239 - x242 =L= 0.26;
e529.. - x239 + x242 =L= 0.26;
e530.. x242 - x243 =L= 0.26;
e531.. - x242 + x243 =L= 0.26;
e532.. x248 - x249 =L= 0.26;
e533.. - x248 + x249 =L= 0.26;
e534.. x238 - x239 =L= 0.26;
e535.. - x238 + x239 =L= 0.26;
e536.. - x234 + x235 =L= 0.26;
e537.. x234 - x235 =L= 0.26;
e538.. x240 - x241 =L= 0.26;
e539.. - x240 + x241 =L= 0.26;
e540.. x227 - x228 =L= 0.26;
e541.. - x227 + x228 =L= 0.26;
e542.. x239 - x244 =L= 0.26;
e543.. - x239 + x244 =L= 0.26;
e544.. x232 - x262 =L= 0.26;
e545.. - x232 + x262 =L= 0.26;
e546.. x245 - x246 =L= 0.26;
e547.. - x245 + x246 =L= 0.26;
e548.. x236 - x237 =L= 0.26;
e549.. - x236 + x237 =L= 0.26;
e550.. x225 - x253 =L= 0.26;
e551.. - x225 + x253 =L= 0.26;
e552.. x233 - x236 =L= 0.26;
e553.. - x233 + x236 =L= 0.26;
e554.. x228 - x229 =L= 0.26;
e555.. - x228 + x229 =L= 0.26;
e556.. x239 - x247 =L= 0.26;
e557.. - x239 + x247 =L= 0.26;
e558.. x248 - x260 =L= 0.26;
e559.. - x248 + x260 =L= 0.26;
e560.. x252 - x261 =L= 0.26;
e561.. - x252 + x261 =L= 0.26;
e562.. x237 - x238 =L= 0.26;
e563.. - x237 + x238 =L= 0.26;
e564.. x246 - x259 =L= 0.26;
e565.. - x246 + x259 =L= 0.26;
e566.. x249 - x252 =L= 0.26;
e567.. - x249 + x252 =L= 0.26;
e568.. x242 - x256 =L= 0.26;
e569.. - x242 + x256 =L= 0.26;
e570.. x227 - x237 =L= 0.26;
e571.. - x227 + x237 =L= 0.26;
e572.. x233 - x234 =L= 0.26;
e573.. - x233 + x234 =L= 0.26;
e574.. x225 - x248 =L= 0.26;
e575.. - x225 + x248 =L= 0.26;
e576.. x230 - x231 =L= 0.26;
e577.. - x230 + x231 =L= 0.26;
e578.. x249 - x251 =L= 0.26;
e579.. - x249 + x251 =L= 0.26;
e580.. x254 =E= 0;
e581.. x103 - x263 =E= 0;
e582.. x47 - x264 =E= -0.092;
e583.. x55 - x265 =E= 0;
e584.. x121 - x266 =E= 0;
e585.. x69 - x267 =E= 0;
e586.. x61 - x268 =E= 0;
e587.. x117 - x269 =E= 0;
e588.. x111 - x270 =E= 0;
e589.. x113 - x271 =E= 0;
e590.. x51 + x97 - x272 =E= -11.04;
e591.. x195 - x273 =E= 0;
e592.. x139 - x274 =E= -0.046;
e593.. x147 - x275 =E= 0;
e594.. x213 - x276 =E= 0;
e595.. x161 - x277 =E= 0;
e596.. x153 - x278 =E= 0;
e597.. x209 - x279 =E= 0;
e598.. x203 - x280 =E= 0;
e599.. x205 - x281 =E= 0;
e600.. x143 + x189 - x282 =E= -2.5;
e601.. x50 + x56 =E= -0.976;
e602.. x57 + x62 + x102 + x126 =E= 0;
e603.. x58 + x63 + x78 =E= -3.22;
e604.. x59 + x92 + x122 =E= -5;
e605.. x42 + x93 + x106 =E= 0;
e606.. x46 + x48 + x76 + x107 =E= 0;
e607.. x49 + x128 =E= -2.338;
e608.. x43 + x70 + x129 =E= -5.22;
e609.. x71 + x96 =E= -0.065;
e610.. x54 + x104 + x124 =E= 0;
e611.. x77 + x89 + x125 =E= 0;
e612.. x40 + x88 =E= -0.0853;
e613.. x41 + x100 + x105 =E= 0;
e614.. x101 + x114 + x123 =E= 0;
e615.. x86 + x115 =E= -3.2;
e616.. x44 + x80 + x87 + x94 + x108 =E= -3.29;
e617.. x45 + x72 + x90 =E= 0;
e618.. x79 + x91 =E= -1.58;
e619.. x81 + x82 + x120 =E= 0;
e620.. x68 + x83 =E= -6.8;
e621.. x74 + x95 =E= -2.74;
e622.. x60 + x75 + x98 =E= 0;
e623.. x64 + x99 + x116 =E= -2.475;
e624.. x65 + x109 =E= -3.086;
e625.. x84 + x110 + x127 =E= -2.24;
e626.. x52 + x85 + x118 + x130 =E= -1.39;
e627.. x53 + x73 =E= -2.81;
e628.. x66 + x131 =E= -2.06;
e629.. x67 + x112 + x119 =E= -2.835;
e630.. x142 + x148 =E= -0.442;
e631.. x149 + x154 + x194 + x218 =E= 0;
e632.. x150 + x155 + x170 =E= -0.024;
e633.. x151 + x184 + x214 =E= -1.84;
e634.. x134 + x185 + x198 =E= 0;
e635.. x138 + x140 + x168 + x199 =E= 0;
e636.. x141 + x220 =E= -0.84;
e637.. x135 + x162 + x221 =E= -1.766;
e638.. x163 + x188 =E= 0.666;
e639.. x146 + x196 + x216 =E= 0;
e640.. x169 + x181 + x217 =E= 0;
e641.. x132 + x180 =E= -0.88;
e642.. x133 + x192 + x197 =E= 0;
e643.. x193 + x206 + x215 =E= 0;
e644.. x178 + x207 =E= -1.53;
e645.. x136 + x172 + x179 + x186 + x200 =E= -0.323;
e646.. x137 + x164 + x182 =E= 0;
e647.. x171 + x183 =E= -0.3;
e648.. x173 + x174 + x212 =E= 0;
e649.. x160 + x175 =E= -1.03;
e650.. x166 + x187 =E= -1.15;
e651.. x152 + x167 + x190 =E= 0;
e652.. x156 + x191 + x208 =E= -0.846;
e653.. x157 + x201 =E= 0.922;
e654.. x176 + x202 + x219 =E= -0.472;
e655.. x144 + x177 + x210 + x222 =E= -0.17;
e656.. x145 + x165 =E= -0.755;
e657.. x158 + x223 =E= -0.276;
e658.. x159 + x204 + x211 =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: 2025-08-07 Git hash: e62cedfc