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)
576.89341350 p1 ( gdx sol )
(infeas: 6e-15)
Other points (infeas > 1e-08)  
Dual Bounds
0.00000000 (COUENNE)
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 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
*        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: 2022-04-26 Git hash: de668763
Imprint / Privacy Policy / License: CC-BY 4.0