MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
Home // Instances // Documentation // Download // Statistics
Instance powerflow0030p
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ⓘ | 0.00000000 (COUENNE) 572.83958470 (GUROBI) 0.00000000 (LINDO) 0.00000000 (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ⓘ | 236 |
| #Binary Variablesⓘ | 0 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 230 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | quadratic |
| Objective curvatureⓘ | convex |
| #Nonzeros in Objectiveⓘ | 6 |
| #Nonlinear Nonzeros in Objectiveⓘ | 6 |
| #Constraintsⓘ | 555 |
| #Linear Constraintsⓘ | 309 |
| #Quadratic Constraintsⓘ | 82 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 164 |
| Operands in Gen. Nonlin. Functionsⓘ | cos mul sin sqr |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 1573 |
| #Nonlinear Nonzeros in Jacobianⓘ | 820 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 618 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 230 |
| #Blocks in Hessian of Lagrangianⓘ | 171 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 1 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 60 |
| Average blocksize in Hessian of Lagrangianⓘ | 1.345029 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 6.9204e-01 |
| Maximal coefficientⓘ | 6.2500e+02 |
| Infeasibility of initial pointⓘ | 0.95 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 556 226 124 206 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 237 237 0 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 1580 754 826 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,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;
e1.. 200*sqr(x225) + 200*x225 + 175*sqr(x226) + 175*x226 + 250*sqr(x227) + 300*
x227 + 625*sqr(x228) + 100*x228 + 250*sqr(x229) + 300*x229 + 83.4*sqr(x230
) + 325*x230 - objvar =E= 0;
e2.. -7.14285714285714*x12*x13*sin(x206 - x207) + x31 =E= 0;
e3.. -7.14285714285714*x13*x12*sin(x207 - x206) + x32 =E= 0;
e4.. 0.97864768683274*x27*x29*cos(x221 - x223) - 0.97864768683274*sqr(x27) -
1.86832740213523*x27*x29*sin(x221 - x223) + x33 =E= 0;
e5.. 0.97864768683274*x29*x27*cos(x223 - x221) - 0.97864768683274*sqr(x29) -
1.86832740213523*x29*x27*sin(x223 - x221) + x34 =E= 0;
e6.. 4.10958904109589*x6*x7*cos(x200 - x201) - 4.10958904109589*sqr(x6) -
10.958904109589*x6*x7*sin(x200 - x201) + x35 =E= 0;
e7.. 4.10958904109589*x7*x6*cos(x201 - x200) - 4.10958904109589*sqr(x7) -
10.958904109589*x7*x6*sin(x201 - x200) + x36 =E= 0;
e8.. 2.48868778280543*x14*x15*cos(x208 - x209) - 2.48868778280543*sqr(x14) -
2.26244343891403*x14*x15*sin(x208 - x209) + x37 =E= 0;
e9.. 2.48868778280543*x15*x14*cos(x209 - x208) - 2.48868778280543*sqr(x15) -
2.26244343891403*x15*x14*sin(x209 - x208) + x38 =E= 0;
e10.. 2.55474452554745*x10*x22*cos(x204 - x216) - 2.55474452554745*sqr(x10) -
5.47445255474453*x10*x22*sin(x204 - x216) + x39 =E= 0;
e11.. 2.55474452554745*x22*x10*cos(x216 - x204) - 2.55474452554745*sqr(x22) -
5.47445255474453*x22*x10*sin(x216 - x204) + x40 =E= 0;
e12.. -1.78571428571429*x6*x10*sin(x200 - x204) + x41 =E= 0;
e13.. -1.78571428571429*x10*x6*sin(x204 - x200) + x42 =E= 0;
e14.. 5*x6*x28*cos(x200 - x222) - 5*sqr(x6) - 15*x6*x28*sin(x200 - x222) + x43
=E= 0;
e15.. 5*x28*x6*cos(x222 - x200) - 5*sqr(x28) - 15*x28*x6*sin(x222 - x200) + x44
=E= 0;
e16.. 5*x1*x2*cos(x195 - x196) - 5*sqr(x1) - 15*x1*x2*sin(x195 - x196) + x45
=E= 0;
e17.. 5*x2*x1*cos(x196 - x195) - 5*sqr(x2) - 15*x2*x1*sin(x196 - x195) + x46
=E= 0;
e18.. -4.76190476190476*x9*x11*sin(x203 - x205) + x47 =E= 0;
e19.. -4.76190476190476*x11*x9*sin(x205 - x203) + x48 =E= 0;
e20.. 5.88235294117647*x3*x4*cos(x197 - x198) - 5.88235294117647*sqr(x3) -
23.5294117647059*x3*x4*sin(x197 - x198) + x49 =E= 0;
e21.. 5.88235294117647*x4*x3*cos(x198 - x197) - 5.88235294117647*sqr(x4) -
23.5294117647059*x4*x3*sin(x198 - x197) + x50 =E= 0;
e22.. 1.46341463414634*x12*x14*cos(x206 - x208) - 1.46341463414634*sqr(x12) -
3.17073170731707*x12*x14*sin(x206 - x208) + x51 =E= 0;
e23.. 1.46341463414634*x14*x12*cos(x208 - x206) - 1.46341463414634*sqr(x14) -
3.17073170731707*x14*x12*sin(x208 - x206) + x52 =E= 0;
e24.. 1.31034482758621*x24*x25*cos(x218 - x219) - 1.31034482758621*sqr(x24) -
2.27586206896552*x24*x25*sin(x218 - x219) + x53 =E= 0;
e25.. 1.31034482758621*x25*x24*cos(x219 - x218) - 1.31034482758621*sqr(x25) -
2.27586206896552*x25*x24*sin(x219 - x218) + x54 =E= 0;
e26.. 1.44766146993318*x23*x24*cos(x217 - x218) - 1.44766146993318*sqr(x23) -
3.00668151447661*x23*x24*sin(x217 - x218) + x55 =E= 0;
e27.. 1.44766146993318*x24*x23*cos(x218 - x217) - 1.44766146993318*sqr(x24) -
3.00668151447661*x24*x23*sin(x218 - x217) + x56 =E= 0;
e28.. 1.17647058823529*x2*x5*cos(x196 - x199) - 1.17647058823529*sqr(x2) -
4.70588235294118*x2*x5*sin(x196 - x199) + x57 =E= 0;
e29.. 1.17647058823529*x5*x2*cos(x199 - x196) - 1.17647058823529*sqr(x5) -
4.70588235294118*x5*x2*sin(x199 - x196) + x58 =E= 0;
e30.. 5.17241379310345*x19*x20*cos(x213 - x214) - 5.17241379310345*sqr(x19) -
12.0689655172414*x19*x20*sin(x213 - x214) + x59 =E= 0;
e31.. 5.17241379310345*x20*x19*cos(x214 - x213) - 5.17241379310345*sqr(x20) -
12.0689655172414*x20*x19*sin(x214 - x213) + x60 =E= 0;
e32.. -3.84615384615385*x4*x12*sin(x198 - x206) + x61 =E= 0;
e33.. -3.84615384615385*x12*x4*sin(x206 - x198) + x62 =E= 0;
e34.. 5.17241379310345*x10*x21*cos(x204 - x215) - 5.17241379310345*sqr(x10) -
12.0689655172414*x10*x21*sin(x204 - x215) + x63 =E= 0;
e35.. 5.17241379310345*x21*x10*cos(x215 - x204) - 5.17241379310345*sqr(x21) -
12.0689655172414*x21*x10*sin(x215 - x204) + x64 =E= 0;
e36.. -9.09090909090909*x9*x10*sin(x203 - x204) + x65 =E= 0;
e37.. -9.09090909090909*x10*x9*sin(x204 - x203) + x66 =E= 0;
e38.. 3.21100917431193*x12*x15*cos(x206 - x209) - 3.21100917431193*sqr(x12) -
5.96330275229358*x12*x15*sin(x206 - x209) + x67 =E= 0;
e39.. 3.21100917431193*x15*x12*cos(x209 - x206) - 3.21100917431193*sqr(x15) -
5.96330275229358*x15*x12*sin(x209 - x206) + x68 =E= 0;
e40.. 2.92682926829268*x18*x19*cos(x212 - x213) - 2.92682926829268*sqr(x18) -
6.34146341463415*x18*x19*sin(x212 - x213) + x69 =E= 0;
e41.. 2.92682926829268*x19*x18*cos(x213 - x212) - 2.92682926829268*sqr(x19) -
6.34146341463415*x19*x18*sin(x213 - x212) + x70 =E= 0;
e42.. -2.5*x28*x27*sin(x222 - x221) + x71 =E= 0;
e43.. -2.5*x27*x28*sin(x221 - x222) + x72 =E= 0;
e44.. 5.88235294117647*x6*x8*cos(x200 - x202) - 5.88235294117647*sqr(x6) -
23.5294117647059*x6*x8*sin(x200 - x202) + x73 =E= 0;
e45.. 5.88235294117647*x8*x6*cos(x202 - x200) - 5.88235294117647*sqr(x8) -
23.5294117647059*x8*x6*sin(x202 - x200) + x74 =E= 0;
e46.. 1.95729537366548*x25*x27*cos(x219 - x221) - 1.95729537366548*sqr(x25) -
3.73665480427046*x25*x27*sin(x219 - x221) + x75 =E= 0;
e47.. 1.95729537366548*x27*x25*cos(x221 - x219) - 1.95729537366548*sqr(x27) -
3.73665480427046*x27*x25*sin(x221 - x219) + x76 =E= 0;
e48.. 2.95857988165681*x5*x7*cos(x199 - x201) - 2.95857988165681*sqr(x5) -
7.10059171597633*x5*x7*sin(x199 - x201) + x77 =E= 0;
e49.. 2.95857988165681*x7*x5*cos(x201 - x199) - 2.95857988165681*sqr(x7) -
7.10059171597633*x7*x5*sin(x201 - x199) + x78 =E= 0;
e50.. 20*x21*x22*cos(x215 - x216) - 20*sqr(x21) - 40*x21*x22*sin(x215 - x216)
+ x79 =E= 0;
e51.. 20*x22*x21*cos(x216 - x215) - 20*sqr(x22) - 40*x22*x21*sin(x216 - x215)
+ x80 =E= 0;
e52.. 5.88235294117647*x4*x6*cos(x198 - x200) - 5.88235294117647*sqr(x4) -
23.5294117647059*x4*x6*sin(x198 - x200) + x81 =E= 0;
e53.. 5.88235294117647*x6*x4*cos(x200 - x198) - 5.88235294117647*sqr(x6) -
23.5294117647059*x6*x4*sin(x200 - x198) + x82 =E= 0;
e54.. 1.72413793103448*x10*x20*cos(x204 - x214) - 1.72413793103448*sqr(x10) -
4.02298850574713*x10*x20*sin(x204 - x214) + x83 =E= 0;
e55.. 1.72413793103448*x20*x10*cos(x214 - x204) - 1.72413793103448*sqr(x20) -
4.02298850574713*x20*x10*sin(x214 - x204) + x84 =E= 0;
e56.. 2.56410256410256*x22*x24*cos(x216 - x218) - 2.56410256410256*sqr(x22) -
3.84615384615385*x22*x24*sin(x216 - x218) + x85 =E= 0;
e57.. 2.56410256410256*x24*x22*cos(x218 - x216) - 2.56410256410256*sqr(x24) -
3.84615384615385*x24*x22*sin(x218 - x216) + x86 =E= 0;
e58.. 0.69204152249135*x27*x30*cos(x221 - x224) - 0.69204152249135*sqr(x27) -
1.29757785467128*x27*x30*sin(x221 - x224) + x87 =E= 0;
e59.. 0.69204152249135*x30*x27*cos(x224 - x221) - 0.69204152249135*sqr(x30) -
1.29757785467128*x30*x27*sin(x224 - x221) + x88 =E= 0;
e60.. 4.10958904109589*x10*x17*cos(x204 - x211) - 4.10958904109589*sqr(x10) -
10.958904109589*x10*x17*sin(x204 - x211) + x89 =E= 0;
e61.. 4.10958904109589*x17*x10*cos(x211 - x204) - 4.10958904109589*sqr(x17) -
10.958904109589*x17*x10*sin(x211 - x204) + x90 =E= 0;
e62.. 1.37614678899083*x8*x28*cos(x202 - x222) - 1.37614678899083*sqr(x8) -
4.58715596330275*x8*x28*sin(x202 - x222) + x91 =E= 0;
e63.. 1.37614678899083*x28*x8*cos(x222 - x202) - 1.37614678899083*sqr(x28) -
4.58715596330275*x28*x8*sin(x222 - x202) + x92 =E= 0;
e64.. 1.87110187110187*x12*x16*cos(x206 - x210) - 1.87110187110187*sqr(x12) -
4.15800415800416*x12*x16*sin(x206 - x210) + x93 =E= 0;
e65.. 1.87110187110187*x16*x12*cos(x210 - x206) - 1.87110187110187*sqr(x16) -
4.15800415800416*x16*x12*sin(x210 - x206) + x94 =E= 0;
e66.. -4.76190476190476*x6*x9*sin(x200 - x203) + x95 =E= 0;
e67.. -4.76190476190476*x9*x6*sin(x203 - x200) + x96 =E= 0;
e68.. 2*x15*x23*cos(x209 - x217) - 2*sqr(x15) - 4*x15*x23*sin(x209 - x217)
+ x97 =E= 0;
e69.. 2*x23*x15*cos(x217 - x209) - 2*sqr(x23) - 4*x23*x15*sin(x217 - x209)
+ x98 =E= 0;
e70.. 1.20831319478009*x25*x26*cos(x219 - x220) - 1.20831319478009*sqr(x25) -
1.83663605606573*x25*x26*sin(x219 - x220) + x99 =E= 0;
e71.. 1.20831319478009*x26*x25*cos(x220 - x219) - 1.20831319478009*sqr(x26) -
1.83663605606573*x26*x25*sin(x220 - x219) + x100 =E= 0;
e72.. 1.81818181818182*x15*x18*cos(x209 - x212) - 1.81818181818182*sqr(x15) -
3.63636363636364*x15*x18*sin(x209 - x212) + x101 =E= 0;
e73.. 1.81818181818182*x18*x15*cos(x212 - x209) - 1.81818181818182*sqr(x18) -
3.63636363636364*x18*x15*sin(x212 - x209) + x102 =E= 0;
e74.. 1.88235294117647*x16*x17*cos(x210 - x211) - 1.88235294117647*sqr(x16) -
4.47058823529412*x16*x17*sin(x210 - x211) + x103 =E= 0;
e75.. 1.88235294117647*x17*x16*cos(x211 - x210) - 1.88235294117647*sqr(x17) -
4.47058823529412*x17*x16*sin(x211 - x210) + x104 =E= 0;
e76.. 1.66666666666667*x2*x6*cos(x196 - x200) - 1.66666666666667*sqr(x2) - 5*x2
*x6*sin(x196 - x200) + x105 =E= 0;
e77.. 1.66666666666667*x6*x2*cos(x200 - x196) - 1.66666666666667*sqr(x6) - 5*x6
*x2*sin(x200 - x196) + x106 =E= 0;
e78.. 1.84615384615385*x2*x4*cos(x196 - x198) - 1.84615384615385*sqr(x2) -
5.23076923076923*x2*x4*sin(x196 - x198) + x107 =E= 0;
e79.. 1.84615384615385*x4*x2*cos(x198 - x196) - 1.84615384615385*sqr(x4) -
5.23076923076923*x4*x2*sin(x198 - x196) + x108 =E= 0;
e80.. 1.29533678756477*x1*x3*cos(x195 - x197) - 1.29533678756477*sqr(x1) -
4.92227979274611*x1*x3*sin(x195 - x197) + x109 =E= 0;
e81.. 1.29533678756477*x3*x1*cos(x197 - x195) - 1.29533678756477*sqr(x3) -
4.92227979274611*x3*x1*sin(x197 - x195) + x110 =E= 0;
e82.. 0.922722029988466*x29*x30*cos(x223 - x224) - 0.922722029988466*sqr(x29)
- 1.73010380622837*x29*x30*sin(x223 - x224) + x111 =E= 0;
e83.. 0.922722029988466*x30*x29*cos(x224 - x223) - 0.922722029988466*sqr(x30)
- 1.73010380622837*x30*x29*sin(x224 - x223) + x112 =E= 0;
e84.. 7.14285714285714*x12*x13*cos(x206 - x207) - 7.14285714285714*sqr(x12)
+ x113 =E= 0;
e85.. 7.14285714285714*x13*x12*cos(x207 - x206) - 7.14285714285714*sqr(x13)
+ x114 =E= 0;
e86.. 1.86832740213523*x27*x29*cos(x221 - x223) - 1.86832740213523*sqr(x27) +
0.97864768683274*x27*x29*sin(x221 - x223) + x115 =E= 0;
e87.. 1.86832740213523*x29*x27*cos(x223 - x221) - 1.86832740213523*sqr(x29) +
0.97864768683274*x29*x27*sin(x223 - x221) + x116 =E= 0;
e88.. 10.958904109589*x6*x7*cos(x200 - x201) - 10.953904109589*sqr(x6) +
4.10958904109589*x6*x7*sin(x200 - x201) + x117 =E= 0;
e89.. 10.958904109589*x7*x6*cos(x201 - x200) - 10.953904109589*sqr(x7) +
4.10958904109589*x7*x6*sin(x201 - x200) + x118 =E= 0;
e90.. 2.26244343891403*x14*x15*cos(x208 - x209) - 2.26244343891403*sqr(x14) +
2.48868778280543*x14*x15*sin(x208 - x209) + x119 =E= 0;
e91.. 2.26244343891403*x15*x14*cos(x209 - x208) - 2.26244343891403*sqr(x15) +
2.48868778280543*x15*x14*sin(x209 - x208) + x120 =E= 0;
e92.. 5.47445255474453*x10*x22*cos(x204 - x216) - 5.47445255474453*sqr(x10) +
2.55474452554745*x10*x22*sin(x204 - x216) + x121 =E= 0;
e93.. 5.47445255474453*x22*x10*cos(x216 - x204) - 5.47445255474453*sqr(x22) +
2.55474452554745*x22*x10*sin(x216 - x204) + x122 =E= 0;
e94.. 1.78571428571429*x6*x10*cos(x200 - x204) - 1.78571428571429*sqr(x6)
+ x123 =E= 0;
e95.. 1.78571428571429*x10*x6*cos(x204 - x200) - 1.78571428571429*sqr(x10)
+ x124 =E= 0;
e96.. 15*x6*x28*cos(x200 - x222) - 14.995*sqr(x6) + 5*x6*x28*sin(x200 - x222)
+ x125 =E= 0;
e97.. 15*x28*x6*cos(x222 - x200) - 14.995*sqr(x28) + 5*x28*x6*sin(x222 - x200)
+ x126 =E= 0;
e98.. 15*x1*x2*cos(x195 - x196) - 14.985*sqr(x1) + 5*x1*x2*sin(x195 - x196)
+ x127 =E= 0;
e99.. 15*x2*x1*cos(x196 - x195) - 14.985*sqr(x2) + 5*x2*x1*sin(x196 - x195)
+ x128 =E= 0;
e100.. 4.76190476190476*x9*x11*cos(x203 - x205) - 4.76190476190476*sqr(x9)
+ x129 =E= 0;
e101.. 4.76190476190476*x11*x9*cos(x205 - x203) - 4.76190476190476*sqr(x11)
+ x130 =E= 0;
e102.. 23.5294117647059*x3*x4*cos(x197 - x198) - 23.5294117647059*sqr(x3) +
5.88235294117647*x3*x4*sin(x197 - x198) + x131 =E= 0;
e103.. 23.5294117647059*x4*x3*cos(x198 - x197) - 23.5294117647059*sqr(x4) +
5.88235294117647*x4*x3*sin(x198 - x197) + x132 =E= 0;
e104.. 3.17073170731707*x12*x14*cos(x206 - x208) - 3.17073170731707*sqr(x12) +
1.46341463414634*x12*x14*sin(x206 - x208) + x133 =E= 0;
e105.. 3.17073170731707*x14*x12*cos(x208 - x206) - 3.17073170731707*sqr(x14) +
1.46341463414634*x14*x12*sin(x208 - x206) + x134 =E= 0;
e106.. 2.27586206896552*x24*x25*cos(x218 - x219) - 2.27586206896552*sqr(x24) +
1.31034482758621*x24*x25*sin(x218 - x219) + x135 =E= 0;
e107.. 2.27586206896552*x25*x24*cos(x219 - x218) - 2.27586206896552*sqr(x25) +
1.31034482758621*x25*x24*sin(x219 - x218) + x136 =E= 0;
e108.. 3.00668151447661*x23*x24*cos(x217 - x218) - 3.00668151447661*sqr(x23) +
1.44766146993318*x23*x24*sin(x217 - x218) + x137 =E= 0;
e109.. 3.00668151447661*x24*x23*cos(x218 - x217) - 3.00668151447661*sqr(x24) +
1.44766146993318*x24*x23*sin(x218 - x217) + x138 =E= 0;
e110.. 4.70588235294118*x2*x5*cos(x196 - x199) - 4.69588235294118*sqr(x2) +
1.17647058823529*x2*x5*sin(x196 - x199) + x139 =E= 0;
e111.. 4.70588235294118*x5*x2*cos(x199 - x196) - 4.69588235294118*sqr(x5) +
1.17647058823529*x5*x2*sin(x199 - x196) + x140 =E= 0;
e112.. 12.0689655172414*x19*x20*cos(x213 - x214) - 12.0689655172414*sqr(x19) +
5.17241379310345*x19*x20*sin(x213 - x214) + x141 =E= 0;
e113.. 12.0689655172414*x20*x19*cos(x214 - x213) - 12.0689655172414*sqr(x20) +
5.17241379310345*x20*x19*sin(x214 - x213) + x142 =E= 0;
e114.. 3.84615384615385*x4*x12*cos(x198 - x206) - 3.84615384615385*sqr(x4)
+ x143 =E= 0;
e115.. 3.84615384615385*x12*x4*cos(x206 - x198) - 3.84615384615385*sqr(x12)
+ x144 =E= 0;
e116.. 12.0689655172414*x10*x21*cos(x204 - x215) - 12.0689655172414*sqr(x10) +
5.17241379310345*x10*x21*sin(x204 - x215) + x145 =E= 0;
e117.. 12.0689655172414*x21*x10*cos(x215 - x204) - 12.0689655172414*sqr(x21) +
5.17241379310345*x21*x10*sin(x215 - x204) + x146 =E= 0;
e118.. 9.09090909090909*x9*x10*cos(x203 - x204) - 9.09090909090909*sqr(x9)
+ x147 =E= 0;
e119.. 9.09090909090909*x10*x9*cos(x204 - x203) - 9.09090909090909*sqr(x10)
+ x148 =E= 0;
e120.. 5.96330275229358*x12*x15*cos(x206 - x209) - 5.96330275229358*sqr(x12) +
3.21100917431193*x12*x15*sin(x206 - x209) + x149 =E= 0;
e121.. 5.96330275229358*x15*x12*cos(x209 - x206) - 5.96330275229358*sqr(x15) +
3.21100917431193*x15*x12*sin(x209 - x206) + x150 =E= 0;
e122.. 6.34146341463415*x18*x19*cos(x212 - x213) - 6.34146341463415*sqr(x18) +
2.92682926829268*x18*x19*sin(x212 - x213) + x151 =E= 0;
e123.. 6.34146341463415*x19*x18*cos(x213 - x212) - 6.34146341463415*sqr(x19) +
2.92682926829268*x19*x18*sin(x213 - x212) + x152 =E= 0;
e124.. 2.5*x28*x27*cos(x222 - x221) - 2.5*sqr(x28) + x153 =E= 0;
e125.. 2.5*x27*x28*cos(x221 - x222) - 2.5*sqr(x27) + x154 =E= 0;
e126.. 23.5294117647059*x6*x8*cos(x200 - x202) - 23.5294117647059*sqr(x6) +
5.88235294117647*x6*x8*sin(x200 - x202) + x155 =E= 0;
e127.. 23.5294117647059*x8*x6*cos(x202 - x200) - 23.5294117647059*sqr(x8) +
5.88235294117647*x8*x6*sin(x202 - x200) + x156 =E= 0;
e128.. 3.73665480427046*x25*x27*cos(x219 - x221) - 3.73665480427046*sqr(x25) +
1.95729537366548*x25*x27*sin(x219 - x221) + x157 =E= 0;
e129.. 3.73665480427046*x27*x25*cos(x221 - x219) - 3.73665480427046*sqr(x27) +
1.95729537366548*x27*x25*sin(x221 - x219) + x158 =E= 0;
e130.. 7.10059171597633*x5*x7*cos(x199 - x201) - 7.09559171597633*sqr(x5) +
2.95857988165681*x5*x7*sin(x199 - x201) + x159 =E= 0;
e131.. 7.10059171597633*x7*x5*cos(x201 - x199) - 7.09559171597633*sqr(x7) +
2.95857988165681*x7*x5*sin(x201 - x199) + x160 =E= 0;
e132.. 40*x21*x22*cos(x215 - x216) - 40*sqr(x21) + 20*x21*x22*sin(x215 - x216)
+ x161 =E= 0;
e133.. 40*x22*x21*cos(x216 - x215) - 40*sqr(x22) + 20*x22*x21*sin(x216 - x215)
+ x162 =E= 0;
e134.. 23.5294117647059*x4*x6*cos(x198 - x200) - 23.5294117647059*sqr(x4) +
5.88235294117647*x4*x6*sin(x198 - x200) + x163 =E= 0;
e135.. 23.5294117647059*x6*x4*cos(x200 - x198) - 23.5294117647059*sqr(x6) +
5.88235294117647*x6*x4*sin(x200 - x198) + x164 =E= 0;
e136.. 4.02298850574713*x10*x20*cos(x204 - x214) - 4.02298850574713*sqr(x10) +
1.72413793103448*x10*x20*sin(x204 - x214) + x165 =E= 0;
e137.. 4.02298850574713*x20*x10*cos(x214 - x204) - 4.02298850574713*sqr(x20) +
1.72413793103448*x20*x10*sin(x214 - x204) + x166 =E= 0;
e138.. 3.84615384615385*x22*x24*cos(x216 - x218) - 3.84615384615385*sqr(x22) +
2.56410256410256*x22*x24*sin(x216 - x218) + x167 =E= 0;
e139.. 3.84615384615385*x24*x22*cos(x218 - x216) - 3.84615384615385*sqr(x24) +
2.56410256410256*x24*x22*sin(x218 - x216) + x168 =E= 0;
e140.. 1.29757785467128*x27*x30*cos(x221 - x224) - 1.29757785467128*sqr(x27) +
0.69204152249135*x27*x30*sin(x221 - x224) + x169 =E= 0;
e141.. 1.29757785467128*x30*x27*cos(x224 - x221) - 1.29757785467128*sqr(x30) +
0.69204152249135*x30*x27*sin(x224 - x221) + x170 =E= 0;
e142.. 10.958904109589*x10*x17*cos(x204 - x211) - 10.958904109589*sqr(x10) +
4.10958904109589*x10*x17*sin(x204 - x211) + x171 =E= 0;
e143.. 10.958904109589*x17*x10*cos(x211 - x204) - 10.958904109589*sqr(x17) +
4.10958904109589*x17*x10*sin(x211 - x204) + x172 =E= 0;
e144.. 4.58715596330275*x8*x28*cos(x202 - x222) - 4.57715596330275*sqr(x8) +
1.37614678899083*x8*x28*sin(x202 - x222) + x173 =E= 0;
e145.. 4.58715596330275*x28*x8*cos(x222 - x202) - 4.57715596330275*sqr(x28) +
1.37614678899083*x28*x8*sin(x222 - x202) + x174 =E= 0;
e146.. 4.15800415800416*x12*x16*cos(x206 - x210) - 4.15800415800416*sqr(x12) +
1.87110187110187*x12*x16*sin(x206 - x210) + x175 =E= 0;
e147.. 4.15800415800416*x16*x12*cos(x210 - x206) - 4.15800415800416*sqr(x16) +
1.87110187110187*x16*x12*sin(x210 - x206) + x176 =E= 0;
e148.. 4.76190476190476*x6*x9*cos(x200 - x203) - 4.76190476190476*sqr(x6)
+ x177 =E= 0;
e149.. 4.76190476190476*x9*x6*cos(x203 - x200) - 4.76190476190476*sqr(x9)
+ x178 =E= 0;
e150.. 4*x15*x23*cos(x209 - x217) - 4*sqr(x15) + 2*x15*x23*sin(x209 - x217)
+ x179 =E= 0;
e151.. 4*x23*x15*cos(x217 - x209) - 4*sqr(x23) + 2*x23*x15*sin(x217 - x209)
+ x180 =E= 0;
e152.. 1.83663605606573*x25*x26*cos(x219 - x220) - 1.83663605606573*sqr(x25) +
1.20831319478009*x25*x26*sin(x219 - x220) + x181 =E= 0;
e153.. 1.83663605606573*x26*x25*cos(x220 - x219) - 1.83663605606573*sqr(x26) +
1.20831319478009*x26*x25*sin(x220 - x219) + x182 =E= 0;
e154.. 3.63636363636364*x15*x18*cos(x209 - x212) - 3.63636363636364*sqr(x15) +
1.81818181818182*x15*x18*sin(x209 - x212) + x183 =E= 0;
e155.. 3.63636363636364*x18*x15*cos(x212 - x209) - 3.63636363636364*sqr(x18) +
1.81818181818182*x18*x15*sin(x212 - x209) + x184 =E= 0;
e156.. 4.47058823529412*x16*x17*cos(x210 - x211) - 4.47058823529412*sqr(x16) +
1.88235294117647*x16*x17*sin(x210 - x211) + x185 =E= 0;
e157.. 4.47058823529412*x17*x16*cos(x211 - x210) - 4.47058823529412*sqr(x17) +
1.88235294117647*x17*x16*sin(x211 - x210) + x186 =E= 0;
e158.. 5*x2*x6*cos(x196 - x200) - 4.99*sqr(x2) + 1.66666666666667*x2*x6*sin(
x196 - x200) + x187 =E= 0;
e159.. 5*x6*x2*cos(x200 - x196) - 4.99*sqr(x6) + 1.66666666666667*x6*x2*sin(
x200 - x196) + x188 =E= 0;
e160.. 5.23076923076923*x2*x4*cos(x196 - x198) - 5.22076923076923*sqr(x2) +
1.84615384615385*x2*x4*sin(x196 - x198) + x189 =E= 0;
e161.. 5.23076923076923*x4*x2*cos(x198 - x196) - 5.22076923076923*sqr(x4) +
1.84615384615385*x4*x2*sin(x198 - x196) + x190 =E= 0;
e162.. 4.92227979274611*x1*x3*cos(x195 - x197) - 4.91227979274611*sqr(x1) +
1.29533678756477*x1*x3*sin(x195 - x197) + x191 =E= 0;
e163.. 4.92227979274611*x3*x1*cos(x197 - x195) - 4.91227979274611*sqr(x3) +
1.29533678756477*x3*x1*sin(x197 - x195) + x192 =E= 0;
e164.. 1.73010380622837*x29*x30*cos(x223 - x224) - 1.73010380622837*sqr(x29) +
0.922722029988466*x29*x30*sin(x223 - x224) + x193 =E= 0;
e165.. 1.73010380622837*x30*x29*cos(x224 - x223) - 1.73010380622837*sqr(x30) +
0.922722029988466*x30*x29*sin(x224 - x223) + x194 =E= 0;
e166.. sqr(x31) + sqr(x113) =L= 0.4225;
e167.. sqr(x32) + sqr(x114) =L= 0.4225;
e168.. sqr(x33) + sqr(x115) =L= 0.0256;
e169.. sqr(x34) + sqr(x116) =L= 0.0256;
e170.. sqr(x35) + sqr(x117) =L= 1.69;
e171.. sqr(x36) + sqr(x118) =L= 1.69;
e172.. sqr(x37) + sqr(x119) =L= 0.0256;
e173.. sqr(x38) + sqr(x120) =L= 0.0256;
e174.. sqr(x39) + sqr(x121) =L= 0.1024;
e175.. sqr(x40) + sqr(x122) =L= 0.1024;
e176.. sqr(x41) + sqr(x123) =L= 0.1024;
e177.. sqr(x42) + sqr(x124) =L= 0.1024;
e178.. sqr(x43) + sqr(x125) =L= 0.1024;
e179.. sqr(x44) + sqr(x126) =L= 0.1024;
e180.. sqr(x45) + sqr(x127) =L= 1.69;
e181.. sqr(x46) + sqr(x128) =L= 1.69;
e182.. sqr(x47) + sqr(x129) =L= 0.4225;
e183.. sqr(x48) + sqr(x130) =L= 0.4225;
e184.. sqr(x49) + sqr(x131) =L= 1.69;
e185.. sqr(x50) + sqr(x132) =L= 1.69;
e186.. sqr(x51) + sqr(x133) =L= 0.1024;
e187.. sqr(x52) + sqr(x134) =L= 0.1024;
e188.. sqr(x53) + sqr(x135) =L= 0.0256;
e189.. sqr(x54) + sqr(x136) =L= 0.0256;
e190.. sqr(x55) + sqr(x137) =L= 0.0256;
e191.. sqr(x56) + sqr(x138) =L= 0.0256;
e192.. sqr(x57) + sqr(x139) =L= 1.69;
e193.. sqr(x58) + sqr(x140) =L= 1.69;
e194.. sqr(x59) + sqr(x141) =L= 0.1024;
e195.. sqr(x60) + sqr(x142) =L= 0.1024;
e196.. sqr(x61) + sqr(x143) =L= 0.4225;
e197.. sqr(x62) + sqr(x144) =L= 0.4225;
e198.. sqr(x63) + sqr(x145) =L= 0.1024;
e199.. sqr(x64) + sqr(x146) =L= 0.1024;
e200.. sqr(x65) + sqr(x147) =L= 0.4225;
e201.. sqr(x66) + sqr(x148) =L= 0.4225;
e202.. sqr(x67) + sqr(x149) =L= 0.1024;
e203.. sqr(x68) + sqr(x150) =L= 0.1024;
e204.. sqr(x69) + sqr(x151) =L= 0.0256;
e205.. sqr(x70) + sqr(x152) =L= 0.0256;
e206.. sqr(x71) + sqr(x153) =L= 0.4225;
e207.. sqr(x72) + sqr(x154) =L= 0.4225;
e208.. sqr(x73) + sqr(x155) =L= 0.1024;
e209.. sqr(x74) + sqr(x156) =L= 0.1024;
e210.. sqr(x75) + sqr(x157) =L= 0.0256;
e211.. sqr(x76) + sqr(x158) =L= 0.0256;
e212.. sqr(x77) + sqr(x159) =L= 0.49;
e213.. sqr(x78) + sqr(x160) =L= 0.49;
e214.. sqr(x79) + sqr(x161) =L= 0.1024;
e215.. sqr(x80) + sqr(x162) =L= 0.1024;
e216.. sqr(x81) + sqr(x163) =L= 0.81;
e217.. sqr(x82) + sqr(x164) =L= 0.81;
e218.. sqr(x83) + sqr(x165) =L= 0.1024;
e219.. sqr(x84) + sqr(x166) =L= 0.1024;
e220.. sqr(x85) + sqr(x167) =L= 0.0256;
e221.. sqr(x86) + sqr(x168) =L= 0.0256;
e222.. sqr(x87) + sqr(x169) =L= 0.0256;
e223.. sqr(x88) + sqr(x170) =L= 0.0256;
e224.. sqr(x89) + sqr(x171) =L= 0.1024;
e225.. sqr(x90) + sqr(x172) =L= 0.1024;
e226.. sqr(x91) + sqr(x173) =L= 0.1024;
e227.. sqr(x92) + sqr(x174) =L= 0.1024;
e228.. sqr(x93) + sqr(x175) =L= 0.1024;
e229.. sqr(x94) + sqr(x176) =L= 0.1024;
e230.. sqr(x95) + sqr(x177) =L= 0.4225;
e231.. sqr(x96) + sqr(x178) =L= 0.4225;
e232.. sqr(x97) + sqr(x179) =L= 0.0256;
e233.. sqr(x98) + sqr(x180) =L= 0.0256;
e234.. sqr(x99) + sqr(x181) =L= 0.0256;
e235.. sqr(x100) + sqr(x182) =L= 0.0256;
e236.. sqr(x101) + sqr(x183) =L= 0.0256;
e237.. sqr(x102) + sqr(x184) =L= 0.0256;
e238.. sqr(x103) + sqr(x185) =L= 0.0256;
e239.. sqr(x104) + sqr(x186) =L= 0.0256;
e240.. sqr(x105) + sqr(x187) =L= 0.4225;
e241.. sqr(x106) + sqr(x188) =L= 0.4225;
e242.. sqr(x107) + sqr(x189) =L= 0.4225;
e243.. sqr(x108) + sqr(x190) =L= 0.4225;
e244.. sqr(x109) + sqr(x191) =L= 1.69;
e245.. sqr(x110) + sqr(x192) =L= 1.69;
e246.. sqr(x111) + sqr(x193) =L= 0.0256;
e247.. sqr(x112) + sqr(x194) =L= 0.0256;
e248.. x225 =L= 0.8;
e249.. x226 =L= 0.8;
e250.. x227 =L= 0.4;
e251.. x228 =L= 0.5;
e252.. x229 =L= 0.3;
e253.. x230 =L= 0.55;
e254.. x225 =G= 0;
e255.. x226 =G= 0;
e256.. x227 =G= 0;
e257.. x228 =G= 0;
e258.. x229 =G= 0;
e259.. x230 =G= 0;
e260.. x231 =L= 1.5;
e261.. x232 =L= 0.6;
e262.. x233 =L= 0.447;
e263.. x234 =L= 0.625;
e264.. x235 =L= 0.4;
e265.. x236 =L= 0.487;
e266.. x231 =G= -0.2;
e267.. x232 =G= -0.2;
e268.. x233 =G= -0.15;
e269.. x234 =G= -0.15;
e270.. x235 =G= -0.1;
e271.. x236 =G= -0.15;
e272.. x1 =L= 1.05;
e273.. x2 =L= 1.1;
e274.. x3 =L= 1.05;
e275.. x4 =L= 1.05;
e276.. x5 =L= 1.05;
e277.. x6 =L= 1.05;
e278.. x7 =L= 1.05;
e279.. x8 =L= 1.05;
e280.. x9 =L= 1.05;
e281.. x10 =L= 1.05;
e282.. x11 =L= 1.05;
e283.. x12 =L= 1.05;
e284.. x13 =L= 1.1;
e285.. x14 =L= 1.05;
e286.. x15 =L= 1.05;
e287.. x16 =L= 1.05;
e288.. x17 =L= 1.05;
e289.. x18 =L= 1.05;
e290.. x19 =L= 1.05;
e291.. x20 =L= 1.05;
e292.. x21 =L= 1.05;
e293.. x22 =L= 1.1;
e294.. x23 =L= 1.1;
e295.. x24 =L= 1.05;
e296.. x25 =L= 1.05;
e297.. x26 =L= 1.05;
e298.. x27 =L= 1.1;
e299.. x28 =L= 1.05;
e300.. x29 =L= 1.05;
e301.. x30 =L= 1.05;
e302.. x1 =G= 0.95;
e303.. x2 =G= 0.95;
e304.. x3 =G= 0.95;
e305.. x4 =G= 0.95;
e306.. x5 =G= 0.95;
e307.. x6 =G= 0.95;
e308.. x7 =G= 0.95;
e309.. x8 =G= 0.95;
e310.. x9 =G= 0.95;
e311.. x10 =G= 0.95;
e312.. x11 =G= 0.95;
e313.. x12 =G= 0.95;
e314.. x13 =G= 0.95;
e315.. x14 =G= 0.95;
e316.. x15 =G= 0.95;
e317.. x16 =G= 0.95;
e318.. x17 =G= 0.95;
e319.. x18 =G= 0.95;
e320.. x19 =G= 0.95;
e321.. x20 =G= 0.95;
e322.. x21 =G= 0.95;
e323.. x22 =G= 0.95;
e324.. x23 =G= 0.95;
e325.. x24 =G= 0.95;
e326.. x25 =G= 0.95;
e327.. x26 =G= 0.95;
e328.. x27 =G= 0.95;
e329.. x28 =G= 0.95;
e330.. x29 =G= 0.95;
e331.. x30 =G= 0.95;
e332.. x206 - x207 =G= -0.26;
e333.. - x206 + x207 =G= -0.26;
e334.. x221 - x223 =G= -0.26;
e335.. - x221 + x223 =G= -0.26;
e336.. x200 - x201 =G= -0.26;
e337.. - x200 + x201 =G= -0.26;
e338.. x208 - x209 =G= -0.26;
e339.. - x208 + x209 =G= -0.26;
e340.. x204 - x216 =G= -0.26;
e341.. - x204 + x216 =G= -0.26;
e342.. x200 - x204 =G= -0.26;
e343.. - x200 + x204 =G= -0.26;
e344.. x200 - x222 =G= -0.26;
e345.. - x200 + x222 =G= -0.26;
e346.. x195 - x196 =G= -0.26;
e347.. - x195 + x196 =G= -0.26;
e348.. x203 - x205 =G= -0.26;
e349.. - x203 + x205 =G= -0.26;
e350.. x197 - x198 =G= -0.26;
e351.. - x197 + x198 =G= -0.26;
e352.. x206 - x208 =G= -0.26;
e353.. - x206 + x208 =G= -0.26;
e354.. x218 - x219 =G= -0.26;
e355.. - x218 + x219 =G= -0.26;
e356.. x217 - x218 =G= -0.26;
e357.. - x217 + x218 =G= -0.26;
e358.. x196 - x199 =G= -0.26;
e359.. - x196 + x199 =G= -0.26;
e360.. x213 - x214 =G= -0.26;
e361.. - x213 + x214 =G= -0.26;
e362.. x198 - x206 =G= -0.26;
e363.. - x198 + x206 =G= -0.26;
e364.. x204 - x215 =G= -0.26;
e365.. - x204 + x215 =G= -0.26;
e366.. x203 - x204 =G= -0.26;
e367.. - x203 + x204 =G= -0.26;
e368.. x206 - x209 =G= -0.26;
e369.. - x206 + x209 =G= -0.26;
e370.. x212 - x213 =G= -0.26;
e371.. - x212 + x213 =G= -0.26;
e372.. - x221 + x222 =G= -0.26;
e373.. x221 - x222 =G= -0.26;
e374.. x200 - x202 =G= -0.26;
e375.. - x200 + x202 =G= -0.26;
e376.. x219 - x221 =G= -0.26;
e377.. - x219 + x221 =G= -0.26;
e378.. x199 - x201 =G= -0.26;
e379.. - x199 + x201 =G= -0.26;
e380.. x215 - x216 =G= -0.26;
e381.. - x215 + x216 =G= -0.26;
e382.. x198 - x200 =G= -0.26;
e383.. - x198 + x200 =G= -0.26;
e384.. x204 - x214 =G= -0.26;
e385.. - x204 + x214 =G= -0.26;
e386.. x216 - x218 =G= -0.26;
e387.. - x216 + x218 =G= -0.26;
e388.. x221 - x224 =G= -0.26;
e389.. - x221 + x224 =G= -0.26;
e390.. x204 - x211 =G= -0.26;
e391.. - x204 + x211 =G= -0.26;
e392.. x202 - x222 =G= -0.26;
e393.. - x202 + x222 =G= -0.26;
e394.. x206 - x210 =G= -0.26;
e395.. - x206 + x210 =G= -0.26;
e396.. x200 - x203 =G= -0.26;
e397.. - x200 + x203 =G= -0.26;
e398.. x209 - x217 =G= -0.26;
e399.. - x209 + x217 =G= -0.26;
e400.. x219 - x220 =G= -0.26;
e401.. - x219 + x220 =G= -0.26;
e402.. x209 - x212 =G= -0.26;
e403.. - x209 + x212 =G= -0.26;
e404.. x210 - x211 =G= -0.26;
e405.. - x210 + x211 =G= -0.26;
e406.. x196 - x200 =G= -0.26;
e407.. - x196 + x200 =G= -0.26;
e408.. x196 - x198 =G= -0.26;
e409.. - x196 + x198 =G= -0.26;
e410.. x195 - x197 =G= -0.26;
e411.. - x195 + x197 =G= -0.26;
e412.. x223 - x224 =G= -0.26;
e413.. - x223 + x224 =G= -0.26;
e414.. x206 - x207 =L= 0.26;
e415.. - x206 + x207 =L= 0.26;
e416.. x221 - x223 =L= 0.26;
e417.. - x221 + x223 =L= 0.26;
e418.. x200 - x201 =L= 0.26;
e419.. - x200 + x201 =L= 0.26;
e420.. x208 - x209 =L= 0.26;
e421.. - x208 + x209 =L= 0.26;
e422.. x204 - x216 =L= 0.26;
e423.. - x204 + x216 =L= 0.26;
e424.. x200 - x204 =L= 0.26;
e425.. - x200 + x204 =L= 0.26;
e426.. x200 - x222 =L= 0.26;
e427.. - x200 + x222 =L= 0.26;
e428.. x195 - x196 =L= 0.26;
e429.. - x195 + x196 =L= 0.26;
e430.. x203 - x205 =L= 0.26;
e431.. - x203 + x205 =L= 0.26;
e432.. x197 - x198 =L= 0.26;
e433.. - x197 + x198 =L= 0.26;
e434.. x206 - x208 =L= 0.26;
e435.. - x206 + x208 =L= 0.26;
e436.. x218 - x219 =L= 0.26;
e437.. - x218 + x219 =L= 0.26;
e438.. x217 - x218 =L= 0.26;
e439.. - x217 + x218 =L= 0.26;
e440.. x196 - x199 =L= 0.26;
e441.. - x196 + x199 =L= 0.26;
e442.. x213 - x214 =L= 0.26;
e443.. - x213 + x214 =L= 0.26;
e444.. x198 - x206 =L= 0.26;
e445.. - x198 + x206 =L= 0.26;
e446.. x204 - x215 =L= 0.26;
e447.. - x204 + x215 =L= 0.26;
e448.. x203 - x204 =L= 0.26;
e449.. - x203 + x204 =L= 0.26;
e450.. x206 - x209 =L= 0.26;
e451.. - x206 + x209 =L= 0.26;
e452.. x212 - x213 =L= 0.26;
e453.. - x212 + x213 =L= 0.26;
e454.. - x221 + x222 =L= 0.26;
e455.. x221 - x222 =L= 0.26;
e456.. x200 - x202 =L= 0.26;
e457.. - x200 + x202 =L= 0.26;
e458.. x219 - x221 =L= 0.26;
e459.. - x219 + x221 =L= 0.26;
e460.. x199 - x201 =L= 0.26;
e461.. - x199 + x201 =L= 0.26;
e462.. x215 - x216 =L= 0.26;
e463.. - x215 + x216 =L= 0.26;
e464.. x198 - x200 =L= 0.26;
e465.. - x198 + x200 =L= 0.26;
e466.. x204 - x214 =L= 0.26;
e467.. - x204 + x214 =L= 0.26;
e468.. x216 - x218 =L= 0.26;
e469.. - x216 + x218 =L= 0.26;
e470.. x221 - x224 =L= 0.26;
e471.. - x221 + x224 =L= 0.26;
e472.. x204 - x211 =L= 0.26;
e473.. - x204 + x211 =L= 0.26;
e474.. x202 - x222 =L= 0.26;
e475.. - x202 + x222 =L= 0.26;
e476.. x206 - x210 =L= 0.26;
e477.. - x206 + x210 =L= 0.26;
e478.. x200 - x203 =L= 0.26;
e479.. - x200 + x203 =L= 0.26;
e480.. x209 - x217 =L= 0.26;
e481.. - x209 + x217 =L= 0.26;
e482.. x219 - x220 =L= 0.26;
e483.. - x219 + x220 =L= 0.26;
e484.. x209 - x212 =L= 0.26;
e485.. - x209 + x212 =L= 0.26;
e486.. x210 - x211 =L= 0.26;
e487.. - x210 + x211 =L= 0.26;
e488.. x196 - x200 =L= 0.26;
e489.. - x196 + x200 =L= 0.26;
e490.. x196 - x198 =L= 0.26;
e491.. - x196 + x198 =L= 0.26;
e492.. x195 - x197 =L= 0.26;
e493.. - x195 + x197 =L= 0.26;
e494.. x223 - x224 =L= 0.26;
e495.. - x223 + x224 =L= 0.26;
e496.. x195 =E= 0;
e497.. x45 + x109 - x225 =E= 0;
e498.. x46 + x57 + x105 + x107 - x226 =E= -0.217;
e499.. x32 - x227 =E= 0;
e500.. x40 + x80 + x85 - x228 =E= 0;
e501.. x55 + x98 - x229 =E= -0.032;
e502.. x33 + x72 + x76 + x87 - x230 =E= 0;
e503.. x127 + x191 - x231 =E= 0;
e504.. x128 + x139 + x187 + x189 - x232 =E= -0.127;
e505.. x114 - x233 =E= 0;
e506.. x122 + x162 + x167 - x234 =E= 0;
e507.. x137 + x180 - x235 =E= -0.016;
e508.. x115 + x154 + x158 + x169 - x236 =E= 0;
e509.. x49 + x110 =E= -0.024;
e510.. x50 + x61 + x81 + x108 =E= -0.076;
e511.. x58 + x77 =E= 0;
e512.. x35 + x41 + x43 + x73 + x82 + x95 + x106 =E= 0;
e513.. x36 + x78 =E= -0.228;
e514.. x74 + x91 =E= -0.3;
e515.. x47 + x65 + x96 =E= 0;
e516.. x39 + x42 + x63 + x66 + x83 + x89 =E= -0.058;
e517.. x48 =E= 0;
e518.. x31 + x51 + x62 + x67 + x93 =E= -0.112;
e519.. x37 + x52 =E= -0.062;
e520.. x38 + x68 + x97 + x101 =E= -0.082;
e521.. x94 + x103 =E= -0.035;
e522.. x90 + x104 =E= -0.09;
e523.. x69 + x102 =E= -0.032;
e524.. x59 + x70 =E= -0.095;
e525.. x60 + x84 =E= -0.022;
e526.. x64 + x79 =E= -0.175;
e527.. x53 + x56 + x86 =E= -0.087;
e528.. x54 + x75 + x99 =E= 0;
e529.. x100 =E= -0.035;
e530.. x44 + x71 + x92 =E= 0;
e531.. x34 + x111 =E= -0.024;
e532.. x88 + x112 =E= -0.106;
e533.. x131 + x192 =E= -0.012;
e534.. x132 + x143 + x163 + x190 =E= -0.016;
e535.. x140 + x159 =E= 0;
e536.. x117 + x123 + x125 + x155 + x164 + x177 + x188 =E= 0;
e537.. x118 + x160 =E= -0.109;
e538.. x156 + x173 =E= -0.3;
e539.. x129 + x147 + x178 =E= 0;
e540.. x121 + x124 + x145 + x148 + x165 + x171 =E= -0.02;
e541.. x130 =E= 0;
e542.. x113 + x133 + x144 + x149 + x175 =E= -0.075;
e543.. x119 + x134 =E= -0.016;
e544.. x120 + x150 + x179 + x183 =E= -0.025;
e545.. x176 + x185 =E= -0.018;
e546.. x172 + x186 =E= -0.058;
e547.. x151 + x184 =E= -0.009;
e548.. x141 + x152 =E= -0.034;
e549.. x142 + x166 =E= -0.007;
e550.. x146 + x161 =E= -0.112;
e551.. x135 + x138 + x168 =E= -0.067;
e552.. x136 + x157 + x181 =E= 0;
e553.. x182 =E= -0.023;
e554.. x126 + x153 + x174 =E= 0;
e555.. x116 + x193 =E= -0.009;
e556.. x170 + x194 =E= -0.019;
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