MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance var_con10

Formats ams gms mod nl osil py
Primal Bounds (infeas ≤ 1e-08)
444.21395400 p1 ( gdx sol )
(infeas: 3e-14)
Other points (infeas > 1e-08)  
Dual Bounds
0.00000000 (COUENNE)
0.00000000 (LINDO)
0.00000000 (SCIP)
0.00000000 (SHOT)
Source GAMS Client
Application Electricity generation
Added to library 01 May 2001
Problem type MBNLP
#Variables 573
#Binary Variables 12
#Integer Variables 0
#Nonlinear Variables 272
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 24
#Nonlinear Nonzeros in Objective 0
#Constraints 464
#Linear Constraints 192
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 272
Operands in Gen. Nonlin. Functions cos mul sin
Constraints curvature indefinite
#Nonzeros in Jacobian 2532
#Nonlinear Nonzeros in Jacobian 1920
#Nonzeros in (Upper-Left) Hessian of Lagrangian 1920
#Nonzeros in Diagonal of Hessian of Lagrangian 272
#Blocks in Hessian of Lagrangian 8
Minimal blocksize in Hessian of Lagrangian 34
Maximal blocksize in Hessian of Lagrangian 34
Average blocksize in Hessian of Lagrangian 34.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 4.0000e-02
Maximal coefficient 5.0000e+02
Infeasibility of initial point 7.13
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
*        465      277       80      108        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        574      562       12        0        0        0        0        0
*  FX    119
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       2557      637     1920        0
*
*  Solve m using MINLP minimizing objvar;


Variables  x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18,x19
          ,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36
          ,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52,x53
          ,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69,x70
          ,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86,x87
          ,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102,x103
          ,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115,x116
          ,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128,x129
          ,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140,x141,x142
          ,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154,x155
          ,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167,x168
          ,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180,x181
          ,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193,x194
          ,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206,x207
          ,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219,x220
          ,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232,x233
          ,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245,x246
          ,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258,x259
          ,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270,x271,x272
          ,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283,x284,x285
          ,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297,x298
          ,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309,x310,x311
          ,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323,x324
          ,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335,x336,x337
          ,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348,x349,x350
          ,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361,x362,x363
          ,x364,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374,x375,x376
          ,x377,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387,x388,x389
          ,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400,x401,x402
          ,x403,x404,x405,x406,x407,x408,x409,x410,x411,x412,x413,x414,x415
          ,x416,x417,x418,x419,x420,x421,x422,x423,x424,x425,x426,x427,x428
          ,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439,x440,x441
          ,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451,x452,x453,x454
          ,x455,x456,x457,x458,x459,x460,x461,x462,x463,x464,x465,x466,x467
          ,x468,x469,x470,x471,x472,x473,x474,x475,x476,x477,x478,x479,x480
          ,x481,x482,x483,x484,x485,x486,x487,x488,x489,x490,x491,x492,x493
          ,x494,x495,x496,x497,x498,x499,x500,x501,x502,x503,x504,x505,x506
          ,x507,x508,x509,x510,x511,x512,x513,x514,x515,x516,x517,x518,x519
          ,x520,x521,x522,x523,x524,x525,x526,x527,x528,x529,x530,x531,x532
          ,x533,x534,x535,x536,x537,x538,x539,x540,x541,x542,x543,x544,x545
          ,x546,x547,x548,x549,x550,x551,x552,x553,x554,x555,x556,x557,x558
          ,x559,x560,x561,objvar,b563,b564,b565,b566,b567,b568,b569,b570,b571
          ,b572,b573,b574;

Positive Variables  x73,x74,x75,x76,x81,x82,x83,x84,x89,x90,x91,x92,x93,x94
          ,x95,x96,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,x133,x134,x135,x136,x273,x274,x275,x276,x546,x548
          ,x550,x551,x553,x554,x555,x556,x557,x558,x559,x561;

Binary Variables  b563,b564,b565,b566,b567,b568,b569,b570,b571,b572,b573,b574;

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;


e1.. -(2.31363031411825*x1*x1 + x1*x9*(-0.530118117315288*cos(x145 - x137) - 
     2.67664976369166*sin(x145 - x137)) + x1*x21*(-0.556466438117951*cos(x157
      - x137) - 3.59715804640533*sin(x157 - x137)) + x1*x25*(-0.266828178571726
     *cos(x161 - x137) - 1.72073853794835*sin(x161 - x137)) + x1*x65*(-
     0.960217580113289*cos(x201 - x137) - 4.55022024450081*sin(x201 - x137)))
      + x273 =E= 0;

e2.. -(2.04680213554653*x2*x2 + x2*x10*(-0.530118117315288*cos(x146 - x138) - 
     2.67664976369166*sin(x146 - x138)) + x2*x22*(-0.556466438117951*cos(x158
      - x138) - 3.59715804640533*sin(x158 - x138)) + x2*x66*(-0.960217580113289
     *cos(x202 - x138) - 4.55022024450081*sin(x202 - x138))) + x274 =E= 0;

e3.. -(2.31363031411825*x3*x3 + x3*x11*(-0.530118117315288*cos(x147 - x139) - 
     2.67664976369166*sin(x147 - x139)) + x3*x23*(-0.556466438117951*cos(x159
      - x139) - 3.59715804640533*sin(x159 - x139)) + x3*x27*(-0.266828178571726
     *cos(x163 - x139) - 1.72073853794835*sin(x163 - x139)) + x3*x67*(-
     0.960217580113289*cos(x203 - x139) - 4.55022024450081*sin(x203 - x139)))
      + x275 =E= 0;

e4.. -(2.31363031411825*x4*x4 + x4*x12*(-0.530118117315288*cos(x148 - x140) - 
     2.67664976369166*sin(x148 - x140)) + x4*x24*(-0.556466438117951*cos(x160
      - x140) - 3.59715804640533*sin(x160 - x140)) + x4*x28*(-0.266828178571726
     *cos(x164 - x140) - 1.72073853794835*sin(x164 - x140)) + x4*x68*(-
     0.960217580113289*cos(x204 - x140) - 4.55022024450081*sin(x204 - x140)))
      + x276 =E= 0;

e5.. -(1.71905697445973*x5*x5 + x5*x13*(-0.859528487229863*cos(x149 - x141) - 
     8.71807465618861*sin(x149 - x141)) + x5*x25*(-0.859528487229863*cos(x161
      - x141) - 8.71807465618861*sin(x161 - x141))) + x277 =E= 0;

e6.. -(1.71905697445973*x6*x6 + x6*x14*(-0.859528487229863*cos(x150 - x142) - 
     8.71807465618861*sin(x150 - x142)) + x6*x26*(-0.859528487229863*cos(x162
      - x142) - 8.71807465618861*sin(x162 - x142))) + x278 =E= 0;

e7.. -(1.71905697445973*x7*x7 + x7*x15*(-0.859528487229863*cos(x151 - x143) - 
     8.71807465618861*sin(x151 - x143)) + x7*x27*(-0.859528487229863*cos(x163
      - x143) - 8.71807465618861*sin(x163 - x143))) + x279 =E= 0;

e8.. -(1.71905697445973*x8*x8 + x8*x16*(-0.859528487229863*cos(x152 - x144) - 
     8.71807465618861*sin(x152 - x144)) + x8*x28*(-0.859528487229863*cos(x164
      - x144) - 8.71807465618861*sin(x164 - x144))) + x280 =E= 0;

e9.. -(x9*x1*(-0.530118117315288*cos(x137 - x145) - 2.67664976369166*sin(x137
      - x145)) + 1.143362562002*x9*x9 + x9*x17*(-0.613244444686714*cos(x153 - 
     x145) - 4.08148247074824*sin(x153 - x145))) + x281 =E= 0;

e10.. -(x10*x2*(-0.530118117315288*cos(x138 - x146) - 2.67664976369166*sin(x138
       - x146)) + 1.143362562002*x10*x10 + x10*x18*(-0.613244444686714*cos(x154
       - x146) - 4.08148247074824*sin(x154 - x146))) + x282 =E= 0;

e11.. -(x11*x3*(-0.530118117315288*cos(x139 - x147) - 2.67664976369166*sin(x139
       - x147)) + 1.143362562002*x11*x11 + x11*x19*(-0.613244444686714*cos(x155
       - x147) - 4.08148247074824*sin(x155 - x147))) + x283 =E= 0;

e12.. -(x12*x4*(-0.530118117315288*cos(x140 - x148) - 2.67664976369166*sin(x140
       - x148)) + 1.143362562002*x12*x12 + x12*x20*(-0.613244444686714*cos(x156
       - x148) - 4.08148247074824*sin(x156 - x148))) + x284 =E= 0;

e13.. -(x13*x5*(-0.859528487229863*cos(x141 - x149) - 8.71807465618861*sin(x141
       - x149)) + 2.82625418435427*x13*x13 + x13*x17*(-0.27754515791681*cos(
      x153 - x149) - 1.6615816969355*sin(x153 - x149)) + x13*x21*(-
      0.864296115364742*cos(x157 - x149) - 6.06886185353939*sin(x157 - x149))
       + x13*x25*(-0.824884423842853*cos(x161 - x149) - 6.35284123437183*sin(
      x161 - x149)) - 7.63358778625954*x13*x61*sin(x197 - x149)) + x285 =E= 0;

e14.. -(x14*x6*(-0.859528487229863*cos(x142 - x150) - 8.71807465618861*sin(x142
       - x150)) + 2.82625418435427*x14*x14 + x14*x18*(-0.27754515791681*cos(
      x154 - x150) - 1.6615816969355*sin(x154 - x150)) + x14*x22*(-
      0.864296115364742*cos(x158 - x150) - 6.06886185353939*sin(x158 - x150))
       + x14*x26*(-0.824884423842853*cos(x162 - x150) - 6.35284123437183*sin(
      x162 - x150)) - 7.63358778625954*x14*x62*sin(x198 - x150)) + x286 =E= 0;

e15.. -(x15*x7*(-0.859528487229863*cos(x143 - x151) - 8.71807465618861*sin(x143
       - x151)) + 2.68748160539586*x15*x15 + x15*x19*(-0.138772578958405*cos(
      x155 - x151) - 0.830790848467751*sin(x155 - x151)) + x15*x23*(-
      0.864296115364742*cos(x159 - x151) - 6.06886185353939*sin(x159 - x151))
       + x15*x27*(-0.824884423842853*cos(x163 - x151) - 6.35284123437183*sin(
      x163 - x151)) - 7.63358778625954*x15*x63*sin(x199 - x151)) + x287 =E= 0;

e16.. -(x16*x8*(-0.859528487229863*cos(x144 - x152) - 8.71807465618861*sin(x144
       - x152)) + 2.82625418435427*x16*x16 + x16*x20*(-0.27754515791681*cos(
      x156 - x152) - 1.6615816969355*sin(x156 - x152)) + x16*x24*(-
      0.864296115364742*cos(x160 - x152) - 6.06886185353939*sin(x160 - x152))
       + x16*x28*(-0.824884423842853*cos(x164 - x152) - 6.35284123437183*sin(
      x164 - x152)) - 7.63358778625954*x16*x64*sin(x200 - x152)) + x288 =E= 0;

e17.. -(x17*x9*(-0.613244444686714*cos(x145 - x153) - 4.08148247074824*sin(x145
       - x153)) + x17*x13*(-0.27754515791681*cos(x149 - x153) - 1.6615816969355
      *sin(x149 - x153)) + 0.890789602603523*x17*x17) + x289 =E= 0;

e18.. -(x18*x10*(-0.613244444686714*cos(x146 - x154) - 4.08148247074824*sin(
      x146 - x154)) + x18*x14*(-0.27754515791681*cos(x150 - x154) - 
      1.6615816969355*sin(x150 - x154)) + 0.890789602603523*x18*x18) + x290
       =E= 0;

e19.. -(x19*x11*(-0.613244444686714*cos(x147 - x155) - 4.08148247074824*sin(
      x147 - x155)) + x19*x15*(-0.138772578958405*cos(x151 - x155) - 
      0.830790848467751*sin(x151 - x155)) + 0.752017023645118*x19*x19) + x291
       =E= 0;

e20.. -(x20*x12*(-0.613244444686714*cos(x148 - x156) - 4.08148247074824*sin(
      x148 - x156)) + x20*x16*(-0.27754515791681*cos(x152 - x156) - 
      1.6615816969355*sin(x152 - x156)) + 0.890789602603523*x20*x20) + x292
       =E= 0;

e21.. -(x21*x1*(-0.556466438117951*cos(x137 - x157) - 3.59715804640533*sin(x137
       - x157)) + x21*x13*(-0.864296115364742*cos(x149 - x157) - 
      6.06886185353939*sin(x149 - x157)) + 1.42076255348269*x21*x21) + x293
       =E= 0.4;

e22.. -(x22*x2*(-0.556466438117951*cos(x138 - x158) - 3.59715804640533*sin(x138
       - x158)) + x22*x14*(-0.864296115364742*cos(x150 - x158) - 
      6.06886185353939*sin(x150 - x158)) + 1.42076255348269*x22*x22) + x294
       =E= 0.4;

e23.. -(x23*x3*(-0.556466438117951*cos(x139 - x159) - 3.59715804640533*sin(x139
       - x159)) + x23*x15*(-0.864296115364742*cos(x151 - x159) - 
      6.06886185353939*sin(x151 - x159)) + 1.42076255348269*x23*x23) + x295
       =E= 0.4;

e24.. -(x24*x4*(-0.556466438117951*cos(x140 - x160) - 3.59715804640533*sin(x140
       - x160)) + x24*x16*(-0.864296115364742*cos(x152 - x160) - 
      6.06886185353939*sin(x152 - x160)) + 1.42076255348269*x24*x24) + x296
       =E= 0.4;

e25.. -(x25*x1*(-0.266828178571726*cos(x137 - x161) - 1.72073853794835*sin(x137
       - x161)) + x25*x5*(-0.859528487229863*cos(x141 - x161) - 
      8.71807465618861*sin(x141 - x161)) + x25*x13*(-0.824884423842853*cos(x149
       - x161) - 6.35284123437183*sin(x149 - x161)) + 10.4446923398465*x25*x25
       + x25*x29*(-6.44641418211119*cos(x165 - x161) - 56.4061240934729*sin(
      x165 - x161)) + x25*x33*(-1.0868194879776*cos(x169 - x161) - 
      10.3682579153063*sin(x169 - x161)) - 20*x25*x57*sin(x193 - x161) + x25*
      x65*(-0.960217580113289*cos(x201 - x161) - 4.55022024450081*sin(x201 - 
      x161))) + x297 =E= 0.9;

e26.. -(x26*x6*(-0.859528487229863*cos(x142 - x162) - 8.71807465618861*sin(x142
       - x162)) + x26*x14*(-0.824884423842853*cos(x150 - x162) - 
      6.35284123437183*sin(x150 - x162)) + 10.1778641612748*x26*x26 + x26*x30*(
      -6.44641418211119*cos(x166 - x162) - 56.4061240934729*sin(x166 - x162))
       + x26*x34*(-1.0868194879776*cos(x170 - x162) - 10.3682579153063*sin(x170
       - x162)) - 20*x26*x58*sin(x194 - x162) + x26*x66*(-0.960217580113289*
      cos(x202 - x162) - 4.55022024450081*sin(x202 - x162))) + x298 =E= 0.9;

e27.. -(x27*x3*(-0.266828178571726*cos(x139 - x163) - 1.72073853794835*sin(x139
       - x163)) + x27*x7*(-0.859528487229863*cos(x143 - x163) - 
      8.71807465618861*sin(x143 - x163)) + x27*x15*(-0.824884423842853*cos(x151
       - x163) - 6.35284123437183*sin(x151 - x163)) + 10.4446923398465*x27*x27
       + x27*x31*(-6.44641418211119*cos(x167 - x163) - 56.4061240934729*sin(
      x167 - x163)) + x27*x35*(-1.0868194879776*cos(x171 - x163) - 
      10.3682579153063*sin(x171 - x163)) - 20*x27*x59*sin(x195 - x163) + x27*
      x67*(-0.960217580113289*cos(x203 - x163) - 4.55022024450081*sin(x203 - 
      x163))) + x299 =E= 0.9;

e28.. -(x28*x4*(-0.266828178571726*cos(x140 - x164) - 1.72073853794835*sin(x140
       - x164)) + x28*x8*(-0.859528487229863*cos(x144 - x164) - 
      8.71807465618861*sin(x144 - x164)) + x28*x16*(-0.824884423842853*cos(x152
       - x164) - 6.35284123437183*sin(x152 - x164)) + 10.4446923398465*x28*x28
       + x28*x32*(-6.44641418211119*cos(x168 - x164) - 56.4061240934729*sin(
      x168 - x164)) + x28*x36*(-1.0868194879776*cos(x172 - x164) - 
      10.3682579153063*sin(x172 - x164)) - 20*x28*x60*sin(x196 - x164) + x28*
      x68*(-0.960217580113289*cos(x204 - x164) - 4.55022024450081*sin(x204 - 
      x164))) + x300 =E= 0.9;

e29.. -(x29*x25*(-6.44641418211119*cos(x161 - x165) - 56.4061240934729*sin(x161
       - x165)) + 7.92491432585426*x29*x29 + x29*x33*(-1.47850014374307*cos(
      x169 - x165) - 12.7315290155653*sin(x169 - x165))) + x301 =E= 0;

e30.. -(x30*x26*(-6.44641418211119*cos(x162 - x166) - 56.4061240934729*sin(x162
       - x166)) + 7.92491432585426*x30*x30 + x30*x34*(-1.47850014374307*cos(
      x170 - x166) - 12.7315290155653*sin(x170 - x166))) + x302 =E= 0;

e31.. -(x31*x27*(-6.44641418211119*cos(x163 - x167) - 56.4061240934729*sin(x163
       - x167)) + 7.92491432585426*x31*x31 + x31*x35*(-1.47850014374307*cos(
      x171 - x167) - 12.7315290155653*sin(x171 - x167))) + x303 =E= 0;

e32.. -(x32*x28*(-6.44641418211119*cos(x164 - x168) - 56.4061240934729*sin(x164
       - x168)) + 7.92491432585426*x32*x32 + x32*x36*(-1.47850014374307*cos(
      x172 - x168) - 12.7315290155653*sin(x172 - x168))) + x304 =E= 0;

e33.. -(x33*x25*(-1.0868194879776*cos(x161 - x169) - 10.3682579153063*sin(x161
       - x169)) + x33*x29*(-1.47850014374307*cos(x165 - x169) - 
      12.7315290155653*sin(x165 - x169)) + 4.43578475752816*x33*x33 + x33*x37*(
      -1.53864841883629*cos(x173 - x169) - 12.6331133336033*sin(x173 - x169))
       + x33*x41*(-0.331816706971196*cos(x177 - x169) - 2.02240182793204*sin(
      x177 - x169)) - 6.66666666666667*x33*x53*sin(x189 - x169)) + x305 =E= 0;

e34.. -(x34*x26*(-1.0868194879776*cos(x162 - x170) - 10.3682579153063*sin(x162
       - x170)) + x34*x30*(-1.47850014374307*cos(x166 - x170) - 
      12.7315290155653*sin(x166 - x170)) + 4.43578475752816*x34*x34 + x34*x38*(
      -1.53864841883629*cos(x174 - x170) - 12.6331133336033*sin(x174 - x170))
       + x34*x42*(-0.331816706971196*cos(x178 - x170) - 2.02240182793204*sin(
      x178 - x170)) - 6.66666666666667*x34*x54*sin(x190 - x170)) + x306 =E= 0;

e35.. -(x35*x27*(-1.0868194879776*cos(x163 - x171) - 10.3682579153063*sin(x163
       - x171)) + x35*x31*(-1.47850014374307*cos(x167 - x171) - 
      12.7315290155653*sin(x167 - x171)) + 4.43578475752816*x35*x35 + x35*x39*(
      -1.53864841883629*cos(x175 - x171) - 12.6331133336033*sin(x175 - x171))
       + x35*x43*(-0.331816706971196*cos(x179 - x171) - 2.02240182793204*sin(
      x179 - x171)) - 6.66666666666667*x35*x55*sin(x191 - x171)) + x307 =E= 0;

e36.. -(x36*x28*(-1.0868194879776*cos(x164 - x172) - 10.3682579153063*sin(x164
       - x172)) + x36*x32*(-1.47850014374307*cos(x168 - x172) - 
      12.7315290155653*sin(x168 - x172)) + 2.89713633869187*x36*x36 + x36*x44*(
      -0.331816706971196*cos(x180 - x172) - 2.02240182793204*sin(x180 - x172))
       - 6.66666666666667*x36*x56*sin(x192 - x172)) + x308 =E= 0;

e37.. -(x37*x33*(-1.53864841883629*cos(x169 - x173) - 12.6331133336033*sin(x169
       - x173)) + 1.87592107119826*x37*x37 + x37*x41*(-0.337272652361963*cos(
      x177 - x173) - 2.74800558799463*sin(x177 - x173)) - 6.66666666666667*x37*
      x45*sin(x181 - x173)) + x309 =E= 0;

e38.. -(x38*x34*(-1.53864841883629*cos(x170 - x174) - 12.6331133336033*sin(x170
       - x174)) + 1.87592107119826*x38*x38 + x38*x42*(-0.337272652361963*cos(
      x178 - x174) - 2.74800558799463*sin(x178 - x174)) - 6.66666666666667*x38*
      x46*sin(x182 - x174)) + x310 =E= 0;

e39.. -(x39*x35*(-1.53864841883629*cos(x171 - x175) - 12.6331133336033*sin(x171
       - x175)) + 1.87592107119826*x39*x39 + x39*x43*(-0.337272652361963*cos(
      x179 - x175) - 2.74800558799463*sin(x179 - x175)) - 6.66666666666667*x39*
      x47*sin(x183 - x175)) + x311 =E= 0;

e40.. -(0.337272652361963*x40*x40 + x40*x44*(-0.337272652361963*cos(x180 - x176
      ) - 2.74800558799463*sin(x180 - x176)) - 6.66666666666667*x40*x48*sin(
      x184 - x176)) + x312 =E= 0;

e41.. -(x41*x33*(-0.331816706971196*cos(x169 - x177) - 2.02240182793204*sin(
      x169 - x177)) + x41*x37*(-0.337272652361963*cos(x173 - x177) - 
      2.74800558799463*sin(x173 - x177)) + 0.669089359333159*x41*x41 - 
      3.33333333333333*x41*x49*sin(x185 - x177)) + x313 =E= 0;

e42.. -(x42*x34*(-0.331816706971196*cos(x170 - x178) - 2.02240182793204*sin(
      x170 - x178)) + x42*x38*(-0.337272652361963*cos(x174 - x178) - 
      2.74800558799463*sin(x174 - x178)) + 0.669089359333159*x42*x42 - 
      3.33333333333333*x42*x50*sin(x186 - x178)) + x314 =E= 0;

e43.. -(x43*x35*(-0.331816706971196*cos(x171 - x179) - 2.02240182793204*sin(
      x171 - x179)) + x43*x39*(-0.337272652361963*cos(x175 - x179) - 
      2.74800558799463*sin(x175 - x179)) + 0.669089359333159*x43*x43 - 
      3.33333333333333*x43*x51*sin(x187 - x179)) + x315 =E= 0;

e44.. -(x44*x36*(-0.331816706971196*cos(x172 - x180) - 2.02240182793204*sin(
      x172 - x180)) + x44*x40*(-0.337272652361963*cos(x176 - x180) - 
      2.74800558799463*sin(x176 - x180)) + 0.669089359333159*x44*x44 - 
      3.33333333333333*x44*x52*sin(x188 - x180)) + x316 =E= 0;

e45.. 6.66666666666667*x45*x37*sin(x173 - x181) + x317 =E= 0.4;

e46.. 6.66666666666667*x46*x38*sin(x174 - x182) + x318 =E= 0.4;

e47.. 6.66666666666667*x47*x39*sin(x175 - x183) + x319 =E= 0.4;

e48.. 6.66666666666667*x48*x40*sin(x176 - x184) + x320 =E= 0.4;

e49.. 3.33333333333333*x49*x41*sin(x177 - x185) + x321 =E= 0.3;

e50.. 3.33333333333333*x50*x42*sin(x178 - x186) + x322 =E= 0.3;

e51.. 3.33333333333333*x51*x43*sin(x179 - x187) + x323 =E= 0.3;

e52.. 3.33333333333333*x52*x44*sin(x180 - x188) + x324 =E= 0.3;

e53.. 6.66666666666667*x53*x33*sin(x169 - x189) + x325 =E= 0.5;

e54.. 6.66666666666667*x54*x34*sin(x170 - x190) + x326 =E= 0.5;

e55.. 6.66666666666667*x55*x35*sin(x171 - x191) + x327 =E= 0.5;

e56.. 6.66666666666667*x56*x36*sin(x172 - x192) + x328 =E= 0.5;

e57.. 20*x57*x25*sin(x161 - x193) + x329 =E= 1.5;

e58.. 20*x58*x26*sin(x162 - x194) + x330 =E= 1.5;

e59.. 20*x59*x27*sin(x163 - x195) + x331 =E= 1.5;

e60.. 20*x60*x28*sin(x164 - x196) + x332 =E= 1.5;

e61.. 7.63358778625954*x61*x13*sin(x149 - x197) + x333 =E= 0;

e62.. 7.63358778625954*x62*x14*sin(x150 - x198) + x334 =E= 0;

e63.. 7.63358778625954*x63*x15*sin(x151 - x199) + x335 =E= 0;

e64.. 7.63358778625954*x64*x16*sin(x152 - x200) + x336 =E= 0;

e65.. -(x65*x1*(-0.960217580113289*cos(x137 - x201) - 4.55022024450081*sin(x137
       - x201)) + x65*x25*(-0.960217580113289*cos(x161 - x201) - 
      4.55022024450081*sin(x161 - x201)) + 1.92043516022658*x65*x65) + x337
       =E= 0;

e66.. -(x66*x2*(-0.960217580113289*cos(x138 - x202) - 4.55022024450081*sin(x138
       - x202)) + x66*x26*(-0.960217580113289*cos(x162 - x202) - 
      4.55022024450081*sin(x162 - x202)) + 1.92043516022658*x66*x66) + x338
       =E= 0;

e67.. -(x67*x3*(-0.960217580113289*cos(x139 - x203) - 4.55022024450081*sin(x139
       - x203)) + x67*x27*(-0.960217580113289*cos(x163 - x203) - 
      4.55022024450081*sin(x163 - x203)) + 1.92043516022658*x67*x67) + x339
       =E= 0;

e68.. -(x68*x4*(-0.960217580113289*cos(x140 - x204) - 4.55022024450081*sin(x140
       - x204)) + x68*x28*(-0.960217580113289*cos(x164 - x204) - 
      4.55022024450081*sin(x164 - x204)) + 1.92043516022658*x68*x68) + x340
       =E= 0;

e69.. -(12.3692665925461*x1*x1 + x1*x9*(0.530118117315288*sin(x145 - x137) - 
      2.67664976369166*cos(x145 - x137)) + x1*x21*(0.556466438117951*sin(x157
       - x137) - 3.59715804640533*cos(x157 - x137)) + x1*x25*(0.266828178571726
      *sin(x161 - x137) - 1.72073853794835*cos(x161 - x137)) + x1*x65*(
      0.960217580113289*sin(x201 - x137) - 4.55022024450081*cos(x201 - x137)))
       + x341 + x545 =E= 0;

e70.. -(10.6841280545978*x2*x2 + x2*x10*(0.530118117315288*sin(x146 - x138) - 
      2.67664976369166*cos(x146 - x138)) + x2*x22*(0.556466438117951*sin(x158
       - x138) - 3.59715804640533*cos(x158 - x138)) + x2*x66*(0.960217580113289
      *sin(x202 - x138) - 4.55022024450081*cos(x202 - x138))) + x342 + x545
       =E= 0;

e71.. -(12.3692665925461*x3*x3 + x3*x11*(0.530118117315288*sin(x147 - x139) - 
      2.67664976369166*cos(x147 - x139)) + x3*x23*(0.556466438117951*sin(x159
       - x139) - 3.59715804640533*cos(x159 - x139)) + x3*x27*(0.266828178571726
      *sin(x163 - x139) - 1.72073853794835*cos(x163 - x139)) + x3*x67*(
      0.960217580113289*sin(x203 - x139) - 4.55022024450081*cos(x203 - x139)))
       + x343 + x545 =E= 0;

e72.. -(12.3692665925461*x4*x4 + x4*x12*(0.530118117315288*sin(x148 - x140) - 
      2.67664976369166*cos(x148 - x140)) + x4*x24*(0.556466438117951*sin(x160
       - x140) - 3.59715804640533*cos(x160 - x140)) + x4*x28*(0.266828178571726
      *sin(x164 - x140) - 1.72073853794835*cos(x164 - x140)) + x4*x68*(
      0.960217580113289*sin(x204 - x140) - 4.55022024450081*cos(x204 - x140)))
       + x344 + x545 =E= 0;

e73.. -(17.4219493123772*x5*x5 + x5*x13*(0.859528487229863*sin(x149 - x141) - 
      8.71807465618861*cos(x149 - x141)) + x5*x25*(0.859528487229863*sin(x161
       - x141) - 8.71807465618861*cos(x161 - x141))) + x345 + x546 =E= 0;

e74.. -(17.4219493123772*x6*x6 + x6*x14*(0.859528487229863*sin(x150 - x142) - 
      8.71807465618861*cos(x150 - x142)) + x6*x26*(0.859528487229863*sin(x162
       - x142) - 8.71807465618861*cos(x162 - x142))) + x346 + x546 =E= 0;

e75.. -(17.4219493123772*x7*x7 + x7*x15*(0.859528487229863*sin(x151 - x143) - 
      8.71807465618861*cos(x151 - x143)) + x7*x27*(0.859528487229863*sin(x163
       - x143) - 8.71807465618861*cos(x163 - x143))) + x347 + x546 =E= 0;

e76.. -(17.4219493123772*x8*x8 + x8*x16*(0.859528487229863*sin(x152 - x144) - 
      8.71807465618861*cos(x152 - x144)) + x8*x28*(0.859528487229863*sin(x164
       - x144) - 8.71807465618861*cos(x164 - x144))) + x348 + x546 =E= 0;

e77.. -(x9*x1*(0.530118117315288*sin(x137 - x145) - 2.67664976369166*cos(x137
       - x145)) + 6.5932322344399*x9*x9 + x9*x17*(0.613244444686714*sin(x153 - 
      x145) - 4.08148247074824*cos(x153 - x145))) + x349 + x547 =E= 0;

e78.. -(x10*x2*(0.530118117315288*sin(x138 - x146) - 2.67664976369166*cos(x138
       - x146)) + 6.5932322344399*x10*x10 + x10*x18*(0.613244444686714*sin(x154
       - x146) - 4.08148247074824*cos(x154 - x146))) + x350 + x547 =E= 0;

e79.. -(x11*x3*(0.530118117315288*sin(x139 - x147) - 2.67664976369166*cos(x139
       - x147)) + 6.5932322344399*x11*x11 + x11*x19*(0.613244444686714*sin(x155
       - x147) - 4.08148247074824*cos(x155 - x147))) + x351 + x547 =E= 0;

e80.. -(x12*x4*(0.530118117315288*sin(x140 - x148) - 2.67664976369166*cos(x140
       - x148)) + 6.5932322344399*x12*x12 + x12*x20*(0.613244444686714*sin(x156
       - x148) - 4.08148247074824*cos(x156 - x148))) + x352 + x547 =E= 0;

e81.. -(x13*x5*(0.859528487229863*sin(x141 - x149) - 8.71807465618861*cos(x141
       - x149)) + 30.3010472272949*x13*x13 + x13*x17*(0.27754515791681*sin(x153
       - x149) - 1.6615816969355*cos(x153 - x149)) + x13*x21*(0.864296115364742
      *sin(x157 - x149) - 6.06886185353939*cos(x157 - x149)) + x13*x25*(
      0.824884423842853*sin(x161 - x149) - 6.35284123437183*cos(x161 - x149))
       - 7.63358778625954*x13*x61*cos(x197 - x149)) + x353 + x548 =E= 0;

e82.. -(x14*x6*(0.859528487229863*sin(x142 - x150) - 8.71807465618861*cos(x142
       - x150)) + 30.3010472272949*x14*x14 + x14*x18*(0.27754515791681*sin(x154
       - x150) - 1.6615816969355*cos(x154 - x150)) + x14*x22*(0.864296115364742
      *sin(x158 - x150) - 6.06886185353939*cos(x158 - x150)) + x14*x26*(
      0.824884423842853*sin(x162 - x150) - 6.35284123437183*cos(x162 - x150))
       - 7.63358778625954*x14*x62*cos(x198 - x150)) + x354 + x548 =E= 0;

e83.. -(x15*x7*(0.859528487229863*sin(x143 - x151) - 8.71807465618861*cos(x143
       - x151)) + 29.5089063788271*x15*x15 + x15*x19*(0.138772578958405*sin(
      x155 - x151) - 0.830790848467751*cos(x155 - x151)) + x15*x23*(
      0.864296115364742*sin(x159 - x151) - 6.06886185353939*cos(x159 - x151))
       + x15*x27*(0.824884423842853*sin(x163 - x151) - 6.35284123437183*cos(
      x163 - x151)) - 7.63358778625954*x15*x63*cos(x199 - x151)) + x355 + x548
       =E= 0;

e84.. -(x16*x8*(0.859528487229863*sin(x144 - x152) - 8.71807465618861*cos(x144
       - x152)) + 30.3010472272949*x16*x16 + x16*x20*(0.27754515791681*sin(x156
       - x152) - 1.6615816969355*cos(x156 - x152)) + x16*x24*(0.864296115364742
      *sin(x160 - x152) - 6.06886185353939*cos(x160 - x152)) + x16*x28*(
      0.824884423842853*sin(x164 - x152) - 6.35284123437183*cos(x164 - x152))
       - 7.63358778625954*x16*x64*cos(x200 - x152)) + x356 + x548 =E= 0;

e85.. -(x17*x9*(0.613244444686714*sin(x145 - x153) - 4.08148247074824*cos(x145
       - x153)) + x17*x13*(0.27754515791681*sin(x149 - x153) - 1.6615816969355*
      cos(x149 - x153)) + 5.59906416768374*x17*x17) + x357 + x549 =E= 0;

e86.. -(x18*x10*(0.613244444686714*sin(x146 - x154) - 4.08148247074824*cos(x146
       - x154)) + x18*x14*(0.27754515791681*sin(x150 - x154) - 1.6615816969355*
      cos(x150 - x154)) + 5.59906416768374*x18*x18) + x358 + x549 =E= 0;

e87.. -(x19*x11*(0.613244444686714*sin(x147 - x155) - 4.08148247074824*cos(x147
       - x155)) + x19*x15*(0.138772578958405*sin(x151 - x155) - 
      0.830790848467751*cos(x151 - x155)) + 4.80692331921599*x19*x19) + x359
       + x549 =E= 0;

e88.. -(x20*x12*(0.613244444686714*sin(x148 - x156) - 4.08148247074824*cos(x148
       - x156)) + x20*x16*(0.27754515791681*sin(x152 - x156) - 1.6615816969355*
      cos(x152 - x156)) + 5.59906416768374*x20*x20) + x360 + x549 =E= 0;

e89.. -(x21*x1*(0.556466438117951*sin(x137 - x157) - 3.59715804640533*cos(x137
       - x157)) + x21*x13*(0.864296115364742*sin(x149 - x157) - 
      6.06886185353939*cos(x149 - x157)) + 9.63901989994471*x21*x21) + x361
       + x550 =E= 0.1;

e90.. -(x22*x2*(0.556466438117951*sin(x138 - x158) - 3.59715804640533*cos(x138
       - x158)) + x22*x14*(0.864296115364742*sin(x150 - x158) - 
      6.06886185353939*cos(x150 - x158)) + 9.63901989994471*x22*x22) + x362
       + x550 =E= 0.1;

e91.. -(x23*x3*(0.556466438117951*sin(x139 - x159) - 3.59715804640533*cos(x139
       - x159)) + x23*x15*(0.864296115364742*sin(x151 - x159) - 
      6.06886185353939*cos(x151 - x159)) + 9.63901989994471*x23*x23) + x363
       + x550 =E= 0.1;

e92.. -(x24*x4*(0.556466438117951*sin(x140 - x160) - 3.59715804640533*cos(x140
       - x160)) + x24*x16*(0.864296115364742*sin(x152 - x160) - 
      6.06886185353939*cos(x152 - x160)) + 9.63901989994471*x24*x24) + x364
       + x550 =E= 0.1;

e93.. 0.35*x25*x25 - (x25*x1*(0.266828178571726*sin(x137 - x161) - 
      1.72073853794835*cos(x137 - x161)) + x25*x5*(0.859528487229863*sin(x141
       - x161) - 8.71807465618861*cos(x141 - x161)) + x25*x13*(
      0.824884423842853*sin(x149 - x161) - 6.35284123437183*cos(x149 - x161))
       + 108.002456681789*x25*x25 + x25*x29*(6.44641418211119*sin(x165 - x161)
       - 56.4061240934729*cos(x165 - x161)) + x25*x33*(1.0868194879776*sin(x169
       - x161) - 10.3682579153063*cos(x169 - x161)) - 20*x25*x57*cos(x193 - 
      x161) + x25*x65*(0.960217580113289*sin(x201 - x161) - 4.55022024450081*
      cos(x201 - x161))) + x365 + x551 =E= 0.23;

e94.. 0.35*x26*x26 - (x26*x6*(0.859528487229863*sin(x142 - x162) - 
      8.71807465618861*cos(x142 - x162)) + x26*x14*(0.824884423842853*sin(x150
       - x162) - 6.35284123437183*cos(x150 - x162)) + 106.317318143841*x26*x26
       + x26*x30*(6.44641418211119*sin(x166 - x162) - 56.4061240934729*cos(x166
       - x162)) + x26*x34*(1.0868194879776*sin(x170 - x162) - 10.3682579153063*
      cos(x170 - x162)) - 20*x26*x58*cos(x194 - x162) + x26*x66*(
      0.960217580113289*sin(x202 - x162) - 4.55022024450081*cos(x202 - x162)))
       + x366 + x551 =E= 0.23;

e95.. 0.35*x27*x27 - (x27*x3*(0.266828178571726*sin(x139 - x163) - 
      1.72073853794835*cos(x139 - x163)) + x27*x7*(0.859528487229863*sin(x143
       - x163) - 8.71807465618861*cos(x143 - x163)) + x27*x15*(
      0.824884423842853*sin(x151 - x163) - 6.35284123437183*cos(x151 - x163))
       + 108.002456681789*x27*x27 + x27*x31*(6.44641418211119*sin(x167 - x163)
       - 56.4061240934729*cos(x167 - x163)) + x27*x35*(1.0868194879776*sin(x171
       - x163) - 10.3682579153063*cos(x171 - x163)) - 20*x27*x59*cos(x195 - 
      x163) + x27*x67*(0.960217580113289*sin(x203 - x163) - 4.55022024450081*
      cos(x203 - x163))) + x367 + x551 =E= 0.23;

e96.. 0.35*x28*x28 - (x28*x4*(0.266828178571726*sin(x140 - x164) - 
      1.72073853794835*cos(x140 - x164)) + x28*x8*(0.859528487229863*sin(x144
       - x164) - 8.71807465618861*cos(x144 - x164)) + x28*x16*(
      0.824884423842853*sin(x152 - x164) - 6.35284123437183*cos(x152 - x164))
       + 108.002456681789*x28*x28 + x28*x32*(6.44641418211119*sin(x168 - x164)
       - 56.4061240934729*cos(x168 - x164)) + x28*x36*(1.0868194879776*sin(x172
       - x164) - 10.3682579153063*cos(x172 - x164)) - 20*x28*x60*cos(x196 - 
      x164) + x28*x68*(0.960217580113289*sin(x204 - x164) - 4.55022024450081*
      cos(x204 - x164))) + x368 + x551 =E= 0.23;

e97.. -(x29*x25*(6.44641418211119*sin(x161 - x165) - 56.4061240934729*cos(x161
       - x165)) + 69.1318531090383*x29*x29 + x29*x33*(1.47850014374307*sin(x169
       - x165) - 12.7315290155653*cos(x169 - x165))) + x369 + x552 =E= 0;

e98.. -(x30*x26*(6.44641418211119*sin(x162 - x166) - 56.4061240934729*cos(x162
       - x166)) + 69.1318531090383*x30*x30 + x30*x34*(1.47850014374307*sin(x170
       - x166) - 12.7315290155653*cos(x170 - x166))) + x370 + x552 =E= 0;

e99.. -(x31*x27*(6.44641418211119*sin(x163 - x167) - 56.4061240934729*cos(x163
       - x167)) + 69.1318531090383*x31*x31 + x31*x35*(1.47850014374307*sin(x171
       - x167) - 12.7315290155653*cos(x171 - x167))) + x371 + x552 =E= 0;

e100.. -(x32*x28*(6.44641418211119*sin(x164 - x168) - 56.4061240934729*cos(x164
        - x168)) + 69.1318531090383*x32*x32 + x32*x36*(1.47850014374307*sin(
       x172 - x168) - 12.7315290155653*cos(x172 - x168))) + x372 + x552 =E= 0;

e101.. 0.15*x33*x33 - (x33*x25*(1.0868194879776*sin(x161 - x169) - 
       10.3682579153063*cos(x161 - x169)) + x33*x29*(1.47850014374307*sin(x165
        - x169) - 12.7315290155653*cos(x165 - x169)) + 44.3873687590736*x33*x33
        + x33*x37*(1.53864841883629*sin(x173 - x169) - 12.6331133336033*cos(
       x173 - x169)) + x33*x41*(0.331816706971196*sin(x177 - x169) - 
       2.02240182793204*cos(x177 - x169)) - 6.66666666666667*x33*x53*cos(x189
        - x169)) + x373 + x553 =E= 0;

e102.. 0.15*x34*x34 - (x34*x26*(1.0868194879776*sin(x162 - x170) - 
       10.3682579153063*cos(x162 - x170)) + x34*x30*(1.47850014374307*sin(x166
        - x170) - 12.7315290155653*cos(x166 - x170)) + 44.3873687590736*x34*x34
        + x34*x38*(1.53864841883629*sin(x174 - x170) - 12.6331133336033*cos(
       x174 - x170)) + x34*x42*(0.331816706971196*sin(x178 - x170) - 
       2.02240182793204*cos(x178 - x170)) - 6.66666666666667*x34*x54*cos(x190
        - x170)) + x374 + x553 =E= 0;

e103.. 0.15*x35*x35 - (x35*x27*(1.0868194879776*sin(x163 - x171) - 
       10.3682579153063*cos(x163 - x171)) + x35*x31*(1.47850014374307*sin(x167
        - x171) - 12.7315290155653*cos(x167 - x171)) + 44.3873687590736*x35*x35
        + x35*x39*(1.53864841883629*sin(x175 - x171) - 12.6331133336033*cos(
       x175 - x171)) + x35*x43*(0.331816706971196*sin(x179 - x171) - 
       2.02240182793204*cos(x179 - x171)) - 6.66666666666667*x35*x55*cos(x191
        - x171)) + x375 + x553 =E= 0;

e104.. 0.15*x36*x36 - (x36*x28*(1.0868194879776*sin(x164 - x172) - 
       10.3682579153063*cos(x164 - x172)) + x36*x32*(1.47850014374307*sin(x168
        - x172) - 12.7315290155653*cos(x168 - x172)) + 31.7592554254704*x36*x36
        + x36*x44*(0.331816706971196*sin(x180 - x172) - 2.02240182793204*cos(
       x180 - x172)) - 6.66666666666667*x36*x56*cos(x192 - x172)) + x376 + x553
        =E= 0;

e105.. -(x37*x33*(1.53864841883629*sin(x169 - x173) - 12.6331133336033*cos(x169
        - x173)) + 22.0194855882646*x37*x37 + x37*x41*(0.337272652361963*sin(
       x177 - x173) - 2.74800558799463*cos(x177 - x173)) - 6.66666666666667*x37
       *x45*cos(x181 - x173)) + x377 + x554 =E= 0;

e106.. -(x38*x34*(1.53864841883629*sin(x170 - x174) - 12.6331133336033*cos(x170
        - x174)) + 22.0194855882646*x38*x38 + x38*x42*(0.337272652361963*sin(
       x178 - x174) - 2.74800558799463*cos(x178 - x174)) - 6.66666666666667*x38
       *x46*cos(x182 - x174)) + x378 + x554 =E= 0;

e107.. -(x39*x35*(1.53864841883629*sin(x171 - x175) - 12.6331133336033*cos(x171
        - x175)) + 22.0194855882646*x39*x39 + x39*x43*(0.337272652361963*sin(
       x179 - x175) - 2.74800558799463*cos(x179 - x175)) - 6.66666666666667*x39
       *x47*cos(x183 - x175)) + x379 + x554 =E= 0;

e108.. -(9.39137225466129*x40*x40 + x40*x44*(0.337272652361963*sin(x180 - x176)
        - 2.74800558799463*cos(x180 - x176)) - 6.66666666666667*x40*x48*cos(
       x184 - x176)) + x380 + x554 =E= 0;

e109.. -(x41*x33*(0.331816706971196*sin(x169 - x177) - 2.02240182793204*cos(
       x169 - x177)) + x41*x37*(0.337272652361963*sin(x173 - x177) - 
       2.74800558799463*cos(x173 - x177)) + 8.06134074926*x41*x41 - 
       3.33333333333333*x41*x49*cos(x185 - x177)) + x381 + x555 =E= 0;

e110.. -(x42*x34*(0.331816706971196*sin(x170 - x178) - 2.02240182793204*cos(
       x170 - x178)) + x42*x38*(0.337272652361963*sin(x174 - x178) - 
       2.74800558799463*cos(x174 - x178)) + 8.06134074926*x42*x42 - 
       3.33333333333333*x42*x50*cos(x186 - x178)) + x382 + x555 =E= 0;

e111.. -(x43*x35*(0.331816706971196*sin(x171 - x179) - 2.02240182793204*cos(
       x171 - x179)) + x43*x39*(0.337272652361963*sin(x175 - x179) - 
       2.74800558799463*cos(x175 - x179)) + 8.06134074926*x43*x43 - 
       3.33333333333333*x43*x51*cos(x187 - x179)) + x383 + x555 =E= 0;

e112.. -(x44*x36*(0.331816706971196*sin(x172 - x180) - 2.02240182793204*cos(
       x172 - x180)) + x44*x40*(0.337272652361963*sin(x176 - x180) - 
       2.74800558799463*cos(x176 - x180)) + 8.06134074926*x44*x44 - 
       3.33333333333333*x44*x52*cos(x188 - x180)) + x384 + x555 =E= 0;

e113.. 0.3*x45*x45 - (6.66666666666667*x45*x45 - 6.66666666666667*x45*x37*cos(
       x173 - x181)) + x385 + x556 =E= 0.1;

e114.. 0.3*x46*x46 - (6.66666666666667*x46*x46 - 6.66666666666667*x46*x38*cos(
       x174 - x182)) + x386 + x556 =E= 0.1;

e115.. 0.3*x47*x47 - (6.66666666666667*x47*x47 - 6.66666666666667*x47*x39*cos(
       x175 - x183)) + x387 + x556 =E= 0.1;

e116.. 0.3*x48*x48 - (6.66666666666667*x48*x48 - 6.66666666666667*x48*x40*cos(
       x176 - x184)) + x388 + x556 =E= 0.1;

e117.. 0.04*x49*x49 - (3.33333333333333*x49*x49 - 3.33333333333333*x49*x41*cos(
       x177 - x185)) + x389 + x557 =E= 0.08;

e118.. 0.04*x50*x50 - (3.33333333333333*x50*x50 - 3.33333333333333*x50*x42*cos(
       x178 - x186)) + x390 + x557 =E= 0.08;

e119.. 0.04*x51*x51 - (3.33333333333333*x51*x51 - 3.33333333333333*x51*x43*cos(
       x179 - x187)) + x391 + x557 =E= 0.08;

e120.. 0.04*x52*x52 - (3.33333333333333*x52*x52 - 3.33333333333333*x52*x44*cos(
       x180 - x188)) + x392 + x557 =E= 0.08;

e121.. 0.12*x53*x53 - (6.66666666666667*x53*x53 - 6.66666666666667*x53*x33*cos(
       x169 - x189)) + x393 + x558 =E= 0.13;

e122.. 0.12*x54*x54 - (6.66666666666667*x54*x54 - 6.66666666666667*x54*x34*cos(
       x170 - x190)) + x394 + x558 =E= 0.13;

e123.. 0.12*x55*x55 - (6.66666666666667*x55*x55 - 6.66666666666667*x55*x35*cos(
       x171 - x191)) + x395 + x558 =E= 0.13;

e124.. 0.12*x56*x56 - (6.66666666666667*x56*x56 - 6.66666666666667*x56*x36*cos(
       x172 - x192)) + x396 + x558 =E= 0.13;

e125.. 0.4*x57*x57 - (20*x57*x57 - 20*x57*x25*cos(x161 - x193)) + x397 + x559
        =E= 0.38;

e126.. 0.4*x58*x58 - (20*x58*x58 - 20*x58*x26*cos(x162 - x194)) + x398 + x559
        =E= 0.38;

e127.. 0.4*x59*x59 - (20*x59*x59 - 20*x59*x27*cos(x163 - x195)) + x399 + x559
        =E= 0.38;

e128.. 0.4*x60*x60 - (20*x60*x60 - 20*x60*x28*cos(x164 - x196)) + x400 + x559
        =E= 0.38;

e129.. -(7.63358778625954*x61*x61 - 7.63358778625954*x61*x13*cos(x149 - x197))
        + x401 + x560 =E= 0;

e130.. -(7.63358778625954*x62*x62 - 7.63358778625954*x62*x14*cos(x150 - x198))
        + x402 + x560 =E= 0;

e131.. -(7.63358778625954*x63*x63 - 7.63358778625954*x63*x15*cos(x151 - x199))
        + x403 + x560 =E= 0;

e132.. -(7.63358778625954*x64*x64 - 7.63358778625954*x64*x16*cos(x152 - x200))
        + x404 + x560 =E= 0;

e133.. -(x65*x1*(0.960217580113289*sin(x137 - x201) - 4.55022024450081*cos(x137
        - x201)) + x65*x25*(0.960217580113289*sin(x161 - x201) - 
       4.55022024450081*cos(x161 - x201)) + 9.05104048900162*x65*x65) + x405
        + x561 =E= 0;

e134.. -(x66*x2*(0.960217580113289*sin(x138 - x202) - 4.55022024450081*cos(x138
        - x202)) + x66*x26*(0.960217580113289*sin(x162 - x202) - 
       4.55022024450081*cos(x162 - x202)) + 9.05104048900162*x66*x66) + x406
        + x561 =E= 0;

e135.. -(x67*x3*(0.960217580113289*sin(x139 - x203) - 4.55022024450081*cos(x139
        - x203)) + x67*x27*(0.960217580113289*sin(x163 - x203) - 
       4.55022024450081*cos(x163 - x203)) + 9.05104048900162*x67*x67) + x407
        + x561 =E= 0;

e136.. -(x68*x4*(0.960217580113289*sin(x140 - x204) - 4.55022024450081*cos(x140
        - x204)) + x68*x28*(0.960217580113289*sin(x164 - x204) - 
       4.55022024450081*cos(x164 - x204)) + 9.05104048900162*x68*x68) + x408
        + x561 =E= 0;

e137..    x137 =E= 0;

e138..    x138 =E= 0;

e139..    x139 =E= 0;

e140..    x140 =E= 0;

e141.. 2.31363031411825*x69*x69 + x69*x77*(-0.530118117315288*cos(x213 - x205)
        - 2.67664976369166*sin(x213 - x205)) + x69*x89*(-0.556466438117951*cos(
       x225 - x205) - 3.59715804640533*sin(x225 - x205)) + x69*x93*(-
       0.266828178571726*cos(x229 - x205) - 1.72073853794835*sin(x229 - x205))
        + x69*x133*(-0.960217580113289*cos(x269 - x205) - 4.55022024450081*sin(
       x269 - x205)) - x409 =E= 0;

e142.. 2.04680213554653*x70*x70 + x70*x78*(-0.530118117315288*cos(x214 - x206)
        - 2.67664976369166*sin(x214 - x206)) + x70*x90*(-0.556466438117951*cos(
       x226 - x206) - 3.59715804640533*sin(x226 - x206)) + x70*x134*(-
       0.960217580113289*cos(x270 - x206) - 4.55022024450081*sin(x270 - x206))
        - x410 =E= 0;

e143.. 2.31363031411825*x71*x71 + x71*x79*(-0.530118117315288*cos(x215 - x207)
        - 2.67664976369166*sin(x215 - x207)) + x71*x91*(-0.556466438117951*cos(
       x227 - x207) - 3.59715804640533*sin(x227 - x207)) + x71*x95*(-
       0.266828178571726*cos(x231 - x207) - 1.72073853794835*sin(x231 - x207))
        + x71*x135*(-0.960217580113289*cos(x271 - x207) - 4.55022024450081*sin(
       x271 - x207)) - x411 =E= 0;

e144.. 2.31363031411825*x72*x72 + x72*x80*(-0.530118117315288*cos(x216 - x208)
        - 2.67664976369166*sin(x216 - x208)) + x72*x92*(-0.556466438117951*cos(
       x228 - x208) - 3.59715804640533*sin(x228 - x208)) + x72*x96*(-
       0.266828178571726*cos(x232 - x208) - 1.72073853794835*sin(x232 - x208))
        + x72*x136*(-0.960217580113289*cos(x272 - x208) - 4.55022024450081*sin(
       x272 - x208)) - x412 =E= 0;

e145.. 1.71905697445973*x73*x73 + x73*x81*(-0.859528487229863*cos(x217 - x209)
        - 8.71807465618861*sin(x217 - x209)) + x73*x93*(-0.859528487229863*cos(
       x229 - x209) - 8.71807465618861*sin(x229 - x209)) - x413 =E= 0;

e146.. 1.71905697445973*x74*x74 + x74*x82*(-0.859528487229863*cos(x218 - x210)
        - 8.71807465618861*sin(x218 - x210)) + x74*x94*(-0.859528487229863*cos(
       x230 - x210) - 8.71807465618861*sin(x230 - x210)) - x414 =E= 0;

e147.. 1.71905697445973*x75*x75 + x75*x83*(-0.859528487229863*cos(x219 - x211)
        - 8.71807465618861*sin(x219 - x211)) + x75*x95*(-0.859528487229863*cos(
       x231 - x211) - 8.71807465618861*sin(x231 - x211)) - x415 =E= 0;

e148.. 1.71905697445973*x76*x76 + x76*x84*(-0.859528487229863*cos(x220 - x212)
        - 8.71807465618861*sin(x220 - x212)) + x76*x96*(-0.859528487229863*cos(
       x232 - x212) - 8.71807465618861*sin(x232 - x212)) - x416 =E= 0;

e149.. x77*x69*(-0.530118117315288*cos(x205 - x213) - 2.67664976369166*sin(x205
        - x213)) + 1.143362562002*x77*x77 + x77*x85*(-0.613244444686714*cos(
       x221 - x213) - 4.08148247074824*sin(x221 - x213)) - x417 =E= 0;

e150.. x78*x70*(-0.530118117315288*cos(x206 - x214) - 2.67664976369166*sin(x206
        - x214)) + 1.143362562002*x78*x78 + x78*x86*(-0.613244444686714*cos(
       x222 - x214) - 4.08148247074824*sin(x222 - x214)) - x418 =E= 0;

e151.. x79*x71*(-0.530118117315288*cos(x207 - x215) - 2.67664976369166*sin(x207
        - x215)) + 1.143362562002*x79*x79 + x79*x87*(-0.613244444686714*cos(
       x223 - x215) - 4.08148247074824*sin(x223 - x215)) - x419 =E= 0;

e152.. x80*x72*(-0.530118117315288*cos(x208 - x216) - 2.67664976369166*sin(x208
        - x216)) + 1.143362562002*x80*x80 + x80*x88*(-0.613244444686714*cos(
       x224 - x216) - 4.08148247074824*sin(x224 - x216)) - x420 =E= 0;

e153.. x81*x73*(-0.859528487229863*cos(x209 - x217) - 8.71807465618861*sin(x209
        - x217)) + 2.82625418435427*x81*x81 + x81*x85*(-0.27754515791681*cos(
       x221 - x217) - 1.6615816969355*sin(x221 - x217)) + x81*x89*(-
       0.864296115364742*cos(x225 - x217) - 6.06886185353939*sin(x225 - x217))
        + x81*x93*(-0.824884423842853*cos(x229 - x217) - 6.35284123437183*sin(
       x229 - x217)) - 7.63358778625954*x81*x129*sin(x265 - x217) - x421 =E= 0;

e154.. x82*x74*(-0.859528487229863*cos(x210 - x218) - 8.71807465618861*sin(x210
        - x218)) + 2.82625418435427*x82*x82 + x82*x86*(-0.27754515791681*cos(
       x222 - x218) - 1.6615816969355*sin(x222 - x218)) + x82*x90*(-
       0.864296115364742*cos(x226 - x218) - 6.06886185353939*sin(x226 - x218))
        + x82*x94*(-0.824884423842853*cos(x230 - x218) - 6.35284123437183*sin(
       x230 - x218)) - 7.63358778625954*x82*x130*sin(x266 - x218) - x422 =E= 0;

e155.. x83*x75*(-0.859528487229863*cos(x211 - x219) - 8.71807465618861*sin(x211
        - x219)) + 2.68748160539586*x83*x83 + x83*x87*(-0.138772578958405*cos(
       x223 - x219) - 0.830790848467751*sin(x223 - x219)) + x83*x91*(-
       0.864296115364742*cos(x227 - x219) - 6.06886185353939*sin(x227 - x219))
        + x83*x95*(-0.824884423842853*cos(x231 - x219) - 6.35284123437183*sin(
       x231 - x219)) - 7.63358778625954*x83*x131*sin(x267 - x219) - x423 =E= 0;

e156.. x84*x76*(-0.859528487229863*cos(x212 - x220) - 8.71807465618861*sin(x212
        - x220)) + 2.82625418435427*x84*x84 + x84*x88*(-0.27754515791681*cos(
       x224 - x220) - 1.6615816969355*sin(x224 - x220)) + x84*x92*(-
       0.864296115364742*cos(x228 - x220) - 6.06886185353939*sin(x228 - x220))
        + x84*x96*(-0.824884423842853*cos(x232 - x220) - 6.35284123437183*sin(
       x232 - x220)) - 7.63358778625954*x84*x132*sin(x268 - x220) - x424 =E= 0;

e157.. x85*x77*(-0.613244444686714*cos(x213 - x221) - 4.08148247074824*sin(x213
        - x221)) + x85*x81*(-0.27754515791681*cos(x217 - x221) - 
       1.6615816969355*sin(x217 - x221)) + 0.890789602603523*x85*x85 - x425
        =E= 0;

e158.. x86*x78*(-0.613244444686714*cos(x214 - x222) - 4.08148247074824*sin(x214
        - x222)) + x86*x82*(-0.27754515791681*cos(x218 - x222) - 
       1.6615816969355*sin(x218 - x222)) + 0.890789602603523*x86*x86 - x426
        =E= 0;

e159.. x87*x79*(-0.613244444686714*cos(x215 - x223) - 4.08148247074824*sin(x215
        - x223)) + x87*x83*(-0.138772578958405*cos(x219 - x223) - 
       0.830790848467751*sin(x219 - x223)) + 0.752017023645118*x87*x87 - x427
        =E= 0;

e160.. x88*x80*(-0.613244444686714*cos(x216 - x224) - 4.08148247074824*sin(x216
        - x224)) + x88*x84*(-0.27754515791681*cos(x220 - x224) - 
       1.6615816969355*sin(x220 - x224)) + 0.890789602603523*x88*x88 - x428
        =E= 0;

e161.. x89*x69*(-0.556466438117951*cos(x205 - x225) - 3.59715804640533*sin(x205
        - x225)) + x89*x81*(-0.864296115364742*cos(x217 - x225) - 
       6.06886185353939*sin(x217 - x225)) + 1.42076255348269*x89*x89 - x429
        =E= 0;

e162.. x90*x70*(-0.556466438117951*cos(x206 - x226) - 3.59715804640533*sin(x206
        - x226)) + x90*x82*(-0.864296115364742*cos(x218 - x226) - 
       6.06886185353939*sin(x218 - x226)) + 1.42076255348269*x90*x90 - x430
        =E= 0;

e163.. x91*x71*(-0.556466438117951*cos(x207 - x227) - 3.59715804640533*sin(x207
        - x227)) + x91*x83*(-0.864296115364742*cos(x219 - x227) - 
       6.06886185353939*sin(x219 - x227)) + 1.42076255348269*x91*x91 - x431
        =E= 0;

e164.. x92*x72*(-0.556466438117951*cos(x208 - x228) - 3.59715804640533*sin(x208
        - x228)) + x92*x84*(-0.864296115364742*cos(x220 - x228) - 
       6.06886185353939*sin(x220 - x228)) + 1.42076255348269*x92*x92 - x432
        =E= 0;

e165.. x93*x69*(-0.266828178571726*cos(x205 - x229) - 1.72073853794835*sin(x205
        - x229)) + x93*x73*(-0.859528487229863*cos(x209 - x229) - 
       8.71807465618861*sin(x209 - x229)) + x93*x81*(-0.824884423842853*cos(
       x217 - x229) - 6.35284123437183*sin(x217 - x229)) + 10.4446923398465*x93
       *x93 + x93*x97*(-6.44641418211119*cos(x233 - x229) - 56.4061240934729*
       sin(x233 - x229)) + x93*x101*(-1.0868194879776*cos(x237 - x229) - 
       10.3682579153063*sin(x237 - x229)) - 20*x93*x125*sin(x261 - x229) + x93*
       x133*(-0.960217580113289*cos(x269 - x229) - 4.55022024450081*sin(x269 - 
       x229)) - x433 =E= 0;

e166.. x94*x74*(-0.859528487229863*cos(x210 - x230) - 8.71807465618861*sin(x210
        - x230)) + x94*x82*(-0.824884423842853*cos(x218 - x230) - 
       6.35284123437183*sin(x218 - x230)) + 10.1778641612748*x94*x94 + x94*x98*
       (-6.44641418211119*cos(x234 - x230) - 56.4061240934729*sin(x234 - x230))
        + x94*x102*(-1.0868194879776*cos(x238 - x230) - 10.3682579153063*sin(
       x238 - x230)) - 20*x94*x126*sin(x262 - x230) + x94*x134*(-
       0.960217580113289*cos(x270 - x230) - 4.55022024450081*sin(x270 - x230))
        - x434 =E= 0;

e167.. x95*x71*(-0.266828178571726*cos(x207 - x231) - 1.72073853794835*sin(x207
        - x231)) + x95*x75*(-0.859528487229863*cos(x211 - x231) - 
       8.71807465618861*sin(x211 - x231)) + x95*x83*(-0.824884423842853*cos(
       x219 - x231) - 6.35284123437183*sin(x219 - x231)) + 10.4446923398465*x95
       *x95 + x95*x99*(-6.44641418211119*cos(x235 - x231) - 56.4061240934729*
       sin(x235 - x231)) + x95*x103*(-1.0868194879776*cos(x239 - x231) - 
       10.3682579153063*sin(x239 - x231)) - 20*x95*x127*sin(x263 - x231) + x95*
       x135*(-0.960217580113289*cos(x271 - x231) - 4.55022024450081*sin(x271 - 
       x231)) - x435 =E= 0;

e168.. x96*x72*(-0.266828178571726*cos(x208 - x232) - 1.72073853794835*sin(x208
        - x232)) + x96*x76*(-0.859528487229863*cos(x212 - x232) - 
       8.71807465618861*sin(x212 - x232)) + x96*x84*(-0.824884423842853*cos(
       x220 - x232) - 6.35284123437183*sin(x220 - x232)) + 10.4446923398465*x96
       *x96 + x96*x100*(-6.44641418211119*cos(x236 - x232) - 56.4061240934729*
       sin(x236 - x232)) + x96*x104*(-1.0868194879776*cos(x240 - x232) - 
       10.3682579153063*sin(x240 - x232)) - 20*x96*x128*sin(x264 - x232) + x96*
       x136*(-0.960217580113289*cos(x272 - x232) - 4.55022024450081*sin(x272 - 
       x232)) - x436 =E= 0;

e169.. x97*x93*(-6.44641418211119*cos(x229 - x233) - 56.4061240934729*sin(x229
        - x233)) + 7.92491432585426*x97*x97 + x97*x101*(-1.47850014374307*cos(
       x237 - x233) - 12.7315290155653*sin(x237 - x233)) - x437 =E= 0;

e170.. x98*x94*(-6.44641418211119*cos(x230 - x234) - 56.4061240934729*sin(x230
        - x234)) + 7.92491432585426*x98*x98 + x98*x102*(-1.47850014374307*cos(
       x238 - x234) - 12.7315290155653*sin(x238 - x234)) - x438 =E= 0;

e171.. x99*x95*(-6.44641418211119*cos(x231 - x235) - 56.4061240934729*sin(x231
        - x235)) + 7.92491432585426*x99*x99 + x99*x103*(-1.47850014374307*cos(
       x239 - x235) - 12.7315290155653*sin(x239 - x235)) - x439 =E= 0;

e172.. x100*x96*(-6.44641418211119*cos(x232 - x236) - 56.4061240934729*sin(x232
        - x236)) + 7.92491432585426*x100*x100 + x100*x104*(-1.47850014374307*
       cos(x240 - x236) - 12.7315290155653*sin(x240 - x236)) - x440 =E= 0;

e173.. x101*x93*(-1.0868194879776*cos(x229 - x237) - 10.3682579153063*sin(x229
        - x237)) + x101*x97*(-1.47850014374307*cos(x233 - x237) - 
       12.7315290155653*sin(x233 - x237)) + 4.43578475752816*x101*x101 + x101*
       x105*(-1.53864841883629*cos(x241 - x237) - 12.6331133336033*sin(x241 - 
       x237)) + x101*x109*(-0.331816706971196*cos(x245 - x237) - 
       2.02240182793204*sin(x245 - x237)) - 6.66666666666667*x101*x121*sin(x257
        - x237) - x441 =E= 0;

e174.. x102*x94*(-1.0868194879776*cos(x230 - x238) - 10.3682579153063*sin(x230
        - x238)) + x102*x98*(-1.47850014374307*cos(x234 - x238) - 
       12.7315290155653*sin(x234 - x238)) + 4.43578475752816*x102*x102 + x102*
       x106*(-1.53864841883629*cos(x242 - x238) - 12.6331133336033*sin(x242 - 
       x238)) + x102*x110*(-0.331816706971196*cos(x246 - x238) - 
       2.02240182793204*sin(x246 - x238)) - 6.66666666666667*x102*x122*sin(x258
        - x238) - x442 =E= 0;

e175.. x103*x95*(-1.0868194879776*cos(x231 - x239) - 10.3682579153063*sin(x231
        - x239)) + x103*x99*(-1.47850014374307*cos(x235 - x239) - 
       12.7315290155653*sin(x235 - x239)) + 4.43578475752816*x103*x103 + x103*
       x107*(-1.53864841883629*cos(x243 - x239) - 12.6331133336033*sin(x243 - 
       x239)) + x103*x111*(-0.331816706971196*cos(x247 - x239) - 
       2.02240182793204*sin(x247 - x239)) - 6.66666666666667*x103*x123*sin(x259
        - x239) - x443 =E= 0;

e176.. x104*x96*(-1.0868194879776*cos(x232 - x240) - 10.3682579153063*sin(x232
        - x240)) + x104*x100*(-1.47850014374307*cos(x236 - x240) - 
       12.7315290155653*sin(x236 - x240)) + 2.89713633869187*x104*x104 + x104*
       x112*(-0.331816706971196*cos(x248 - x240) - 2.02240182793204*sin(x248 - 
       x240)) - 6.66666666666667*x104*x124*sin(x260 - x240) - x444 =E= 0;

e177.. x105*x101*(-1.53864841883629*cos(x237 - x241) - 12.6331133336033*sin(
       x237 - x241)) + 1.87592107119826*x105*x105 + x105*x109*(-
       0.337272652361963*cos(x245 - x241) - 2.74800558799463*sin(x245 - x241))
        - 6.66666666666667*x105*x113*sin(x249 - x241) - x445 =E= 0;

e178.. x106*x102*(-1.53864841883629*cos(x238 - x242) - 12.6331133336033*sin(
       x238 - x242)) + 1.87592107119826*x106*x106 + x106*x110*(-
       0.337272652361963*cos(x246 - x242) - 2.74800558799463*sin(x246 - x242))
        - 6.66666666666667*x106*x114*sin(x250 - x242) - x446 =E= 0;

e179.. x107*x103*(-1.53864841883629*cos(x239 - x243) - 12.6331133336033*sin(
       x239 - x243)) + 1.87592107119826*x107*x107 + x107*x111*(-
       0.337272652361963*cos(x247 - x243) - 2.74800558799463*sin(x247 - x243))
        - 6.66666666666667*x107*x115*sin(x251 - x243) - x447 =E= 0;

e180.. 0.337272652361963*x108*x108 + x108*x112*(-0.337272652361963*cos(x248 - 
       x244) - 2.74800558799463*sin(x248 - x244)) - 6.66666666666667*x108*x116*
       sin(x252 - x244) - x448 =E= 0;

e181.. x109*x101*(-0.331816706971196*cos(x237 - x245) - 2.02240182793204*sin(
       x237 - x245)) + x109*x105*(-0.337272652361963*cos(x241 - x245) - 
       2.74800558799463*sin(x241 - x245)) + 0.669089359333159*x109*x109 - 
       3.33333333333333*x109*x117*sin(x253 - x245) - x449 =E= 0;

e182.. x110*x102*(-0.331816706971196*cos(x238 - x246) - 2.02240182793204*sin(
       x238 - x246)) + x110*x106*(-0.337272652361963*cos(x242 - x246) - 
       2.74800558799463*sin(x242 - x246)) + 0.669089359333159*x110*x110 - 
       3.33333333333333*x110*x118*sin(x254 - x246) - x450 =E= 0;

e183.. x111*x103*(-0.331816706971196*cos(x239 - x247) - 2.02240182793204*sin(
       x239 - x247)) + x111*x107*(-0.337272652361963*cos(x243 - x247) - 
       2.74800558799463*sin(x243 - x247)) + 0.669089359333159*x111*x111 - 
       3.33333333333333*x111*x119*sin(x255 - x247) - x451 =E= 0;

e184.. x112*x104*(-0.331816706971196*cos(x240 - x248) - 2.02240182793204*sin(
       x240 - x248)) + x112*x108*(-0.337272652361963*cos(x244 - x248) - 
       2.74800558799463*sin(x244 - x248)) + 0.669089359333159*x112*x112 - 
       3.33333333333333*x112*x120*sin(x256 - x248) - x452 =E= 0;

e185.. -6.66666666666667*x113*x105*sin(x241 - x249) - x453 =E= 0;

e186.. -6.66666666666667*x114*x106*sin(x242 - x250) - x454 =E= 0;

e187.. -6.66666666666667*x115*x107*sin(x243 - x251) - x455 =E= 0;

e188.. -6.66666666666667*x116*x108*sin(x244 - x252) - x456 =E= 0;

e189.. -3.33333333333333*x117*x109*sin(x245 - x253) - x457 =E= 0;

e190.. -3.33333333333333*x118*x110*sin(x246 - x254) - x458 =E= 0;

e191.. -3.33333333333333*x119*x111*sin(x247 - x255) - x459 =E= 0;

e192.. -3.33333333333333*x120*x112*sin(x248 - x256) - x460 =E= 0;

e193.. -6.66666666666667*x121*x101*sin(x237 - x257) - x461 =E= 0;

e194.. -6.66666666666667*x122*x102*sin(x238 - x258) - x462 =E= 0;

e195.. -6.66666666666667*x123*x103*sin(x239 - x259) - x463 =E= 0;

e196.. -6.66666666666667*x124*x104*sin(x240 - x260) - x464 =E= 0;

e197.. -20*x125*x93*sin(x229 - x261) - x465 =E= 0;

e198.. -20*x126*x94*sin(x230 - x262) - x466 =E= 0;

e199.. -20*x127*x95*sin(x231 - x263) - x467 =E= 0;

e200.. -20*x128*x96*sin(x232 - x264) - x468 =E= 0;

e201.. -7.63358778625954*x129*x81*sin(x217 - x265) - x469 =E= 0;

e202.. -7.63358778625954*x130*x82*sin(x218 - x266) - x470 =E= 0;

e203.. -7.63358778625954*x131*x83*sin(x219 - x267) - x471 =E= 0;

e204.. -7.63358778625954*x132*x84*sin(x220 - x268) - x472 =E= 0;

e205.. x133*x69*(-0.960217580113289*cos(x205 - x269) - 4.55022024450081*sin(
       x205 - x269)) + x133*x93*(-0.960217580113289*cos(x229 - x269) - 
       4.55022024450081*sin(x229 - x269)) + 1.92043516022658*x133*x133 - x473
        =E= 0;

e206.. x134*x70*(-0.960217580113289*cos(x206 - x270) - 4.55022024450081*sin(
       x206 - x270)) + x134*x94*(-0.960217580113289*cos(x230 - x270) - 
       4.55022024450081*sin(x230 - x270)) + 1.92043516022658*x134*x134 - x474
        =E= 0;

e207.. x135*x71*(-0.960217580113289*cos(x207 - x271) - 4.55022024450081*sin(
       x207 - x271)) + x135*x95*(-0.960217580113289*cos(x231 - x271) - 
       4.55022024450081*sin(x231 - x271)) + 1.92043516022658*x135*x135 - x475
        =E= 0;

e208.. x136*x72*(-0.960217580113289*cos(x208 - x272) - 4.55022024450081*sin(
       x208 - x272)) + x136*x96*(-0.960217580113289*cos(x232 - x272) - 
       4.55022024450081*sin(x232 - x272)) + 1.92043516022658*x136*x136 - x476
        =E= 0;

e209.. 12.3692665925461*x69*x69 + x69*x77*(0.530118117315288*sin(x213 - x205)
        - 2.67664976369166*cos(x213 - x205)) + x69*x89*(0.556466438117951*sin(
       x225 - x205) - 3.59715804640533*cos(x225 - x205)) + x69*x93*(
       0.266828178571726*sin(x229 - x205) - 1.72073853794835*cos(x229 - x205))
        + x69*x133*(0.960217580113289*sin(x269 - x205) - 4.55022024450081*cos(
       x269 - x205)) - x477 - x545 =E= 0;

e210.. 10.6841280545978*x70*x70 + x70*x78*(0.530118117315288*sin(x214 - x206)
        - 2.67664976369166*cos(x214 - x206)) + x70*x90*(0.556466438117951*sin(
       x226 - x206) - 3.59715804640533*cos(x226 - x206)) + x70*x134*(
       0.960217580113289*sin(x270 - x206) - 4.55022024450081*cos(x270 - x206))
        - x478 - x545 =E= 0;

e211.. 12.3692665925461*x71*x71 + x71*x79*(0.530118117315288*sin(x215 - x207)
        - 2.67664976369166*cos(x215 - x207)) + x71*x91*(0.556466438117951*sin(
       x227 - x207) - 3.59715804640533*cos(x227 - x207)) + x71*x95*(
       0.266828178571726*sin(x231 - x207) - 1.72073853794835*cos(x231 - x207))
        + x71*x135*(0.960217580113289*sin(x271 - x207) - 4.55022024450081*cos(
       x271 - x207)) - x479 - x545 =E= 0;

e212.. 12.3692665925461*x72*x72 + x72*x80*(0.530118117315288*sin(x216 - x208)
        - 2.67664976369166*cos(x216 - x208)) + x72*x92*(0.556466438117951*sin(
       x228 - x208) - 3.59715804640533*cos(x228 - x208)) + x72*x96*(
       0.266828178571726*sin(x232 - x208) - 1.72073853794835*cos(x232 - x208))
        + x72*x136*(0.960217580113289*sin(x272 - x208) - 4.55022024450081*cos(
       x272 - x208)) - x480 - x545 =E= 0;

e213.. 17.4219493123772*x73*x73 + x73*x81*(0.859528487229863*sin(x217 - x209)
        - 8.71807465618861*cos(x217 - x209)) + x73*x93*(0.859528487229863*sin(
       x229 - x209) - 8.71807465618861*cos(x229 - x209)) - x481 - x546 =E= 0;

e214.. 17.4219493123772*x74*x74 + x74*x82*(0.859528487229863*sin(x218 - x210)
        - 8.71807465618861*cos(x218 - x210)) + x74*x94*(0.859528487229863*sin(
       x230 - x210) - 8.71807465618861*cos(x230 - x210)) - x482 - x546 =E= 0;

e215.. 17.4219493123772*x75*x75 + x75*x83*(0.859528487229863*sin(x219 - x211)
        - 8.71807465618861*cos(x219 - x211)) + x75*x95*(0.859528487229863*sin(
       x231 - x211) - 8.71807465618861*cos(x231 - x211)) - x483 - x546 =E= 0;

e216.. 17.4219493123772*x76*x76 + x76*x84*(0.859528487229863*sin(x220 - x212)
        - 8.71807465618861*cos(x220 - x212)) + x76*x96*(0.859528487229863*sin(
       x232 - x212) - 8.71807465618861*cos(x232 - x212)) - x484 - x546 =E= 0;

e217.. x77*x69*(0.530118117315288*sin(x205 - x213) - 2.67664976369166*cos(x205
        - x213)) + 6.5932322344399*x77*x77 + x77*x85*(0.613244444686714*sin(
       x221 - x213) - 4.08148247074824*cos(x221 - x213)) - x485 - x547 =E= 0;

e218.. x78*x70*(0.530118117315288*sin(x206 - x214) - 2.67664976369166*cos(x206
        - x214)) + 6.5932322344399*x78*x78 + x78*x86*(0.613244444686714*sin(
       x222 - x214) - 4.08148247074824*cos(x222 - x214)) - x486 - x547 =E= 0;

e219.. x79*x71*(0.530118117315288*sin(x207 - x215) - 2.67664976369166*cos(x207
        - x215)) + 6.5932322344399*x79*x79 + x79*x87*(0.613244444686714*sin(
       x223 - x215) - 4.08148247074824*cos(x223 - x215)) - x487 - x547 =E= 0;

e220.. x80*x72*(0.530118117315288*sin(x208 - x216) - 2.67664976369166*cos(x208
        - x216)) + 6.5932322344399*x80*x80 + x80*x88*(0.613244444686714*sin(
       x224 - x216) - 4.08148247074824*cos(x224 - x216)) - x488 - x547 =E= 0;

e221.. x81*x73*(0.859528487229863*sin(x209 - x217) - 8.71807465618861*cos(x209
        - x217)) + 30.3010472272949*x81*x81 + x81*x85*(0.27754515791681*sin(
       x221 - x217) - 1.6615816969355*cos(x221 - x217)) + x81*x89*(
       0.864296115364742*sin(x225 - x217) - 6.06886185353939*cos(x225 - x217))
        + x81*x93*(0.824884423842853*sin(x229 - x217) - 6.35284123437183*cos(
       x229 - x217)) - 7.63358778625954*x81*x129*cos(x265 - x217) - x489 - x548
        =E= 0;

e222.. x82*x74*(0.859528487229863*sin(x210 - x218) - 8.71807465618861*cos(x210
        - x218)) + 30.3010472272949*x82*x82 + x82*x86*(0.27754515791681*sin(
       x222 - x218) - 1.6615816969355*cos(x222 - x218)) + x82*x90*(
       0.864296115364742*sin(x226 - x218) - 6.06886185353939*cos(x226 - x218))
        + x82*x94*(0.824884423842853*sin(x230 - x218) - 6.35284123437183*cos(
       x230 - x218)) - 7.63358778625954*x82*x130*cos(x266 - x218) - x490 - x548
        =E= 0;

e223.. x83*x75*(0.859528487229863*sin(x211 - x219) - 8.71807465618861*cos(x211
        - x219)) + 29.5089063788271*x83*x83 + x83*x87*(0.138772578958405*sin(
       x223 - x219) - 0.830790848467751*cos(x223 - x219)) + x83*x91*(
       0.864296115364742*sin(x227 - x219) - 6.06886185353939*cos(x227 - x219))
        + x83*x95*(0.824884423842853*sin(x231 - x219) - 6.35284123437183*cos(
       x231 - x219)) - 7.63358778625954*x83*x131*cos(x267 - x219) - x491 - x548
        =E= 0;

e224.. x84*x76*(0.859528487229863*sin(x212 - x220) - 8.71807465618861*cos(x212
        - x220)) + 30.3010472272949*x84*x84 + x84*x88*(0.27754515791681*sin(
       x224 - x220) - 1.6615816969355*cos(x224 - x220)) + x84*x92*(
       0.864296115364742*sin(x228 - x220) - 6.06886185353939*cos(x228 - x220))
        + x84*x96*(0.824884423842853*sin(x232 - x220) - 6.35284123437183*cos(
       x232 - x220)) - 7.63358778625954*x84*x132*cos(x268 - x220) - x492 - x548
        =E= 0;

e225.. x85*x77*(0.613244444686714*sin(x213 - x221) - 4.08148247074824*cos(x213
        - x221)) + x85*x81*(0.27754515791681*sin(x217 - x221) - 1.6615816969355
       *cos(x217 - x221)) + 5.59906416768374*x85*x85 - x493 - x549 =E= 0;

e226.. x86*x78*(0.613244444686714*sin(x214 - x222) - 4.08148247074824*cos(x214
        - x222)) + x86*x82*(0.27754515791681*sin(x218 - x222) - 1.6615816969355
       *cos(x218 - x222)) + 5.59906416768374*x86*x86 - x494 - x549 =E= 0;

e227.. x87*x79*(0.613244444686714*sin(x215 - x223) - 4.08148247074824*cos(x215
        - x223)) + x87*x83*(0.138772578958405*sin(x219 - x223) - 
       0.830790848467751*cos(x219 - x223)) + 4.80692331921599*x87*x87 - x495
        - x549 =E= 0;

e228.. x88*x80*(0.613244444686714*sin(x216 - x224) - 4.08148247074824*cos(x216
        - x224)) + x88*x84*(0.27754515791681*sin(x220 - x224) - 1.6615816969355
       *cos(x220 - x224)) + 5.59906416768374*x88*x88 - x496 - x549 =E= 0;

e229.. x89*x69*(0.556466438117951*sin(x205 - x225) - 3.59715804640533*cos(x205
        - x225)) + x89*x81*(0.864296115364742*sin(x217 - x225) - 
       6.06886185353939*cos(x217 - x225)) + 9.63901989994471*x89*x89 - x497
        - x550 =E= 0;

e230.. x90*x70*(0.556466438117951*sin(x206 - x226) - 3.59715804640533*cos(x206
        - x226)) + x90*x82*(0.864296115364742*sin(x218 - x226) - 
       6.06886185353939*cos(x218 - x226)) + 9.63901989994471*x90*x90 - x498
        - x550 =E= 0;

e231.. x91*x71*(0.556466438117951*sin(x207 - x227) - 3.59715804640533*cos(x207
        - x227)) + x91*x83*(0.864296115364742*sin(x219 - x227) - 
       6.06886185353939*cos(x219 - x227)) + 9.63901989994471*x91*x91 - x499
        - x550 =E= 0;

e232.. x92*x72*(0.556466438117951*sin(x208 - x228) - 3.59715804640533*cos(x208
        - x228)) + x92*x84*(0.864296115364742*sin(x220 - x228) - 
       6.06886185353939*cos(x220 - x228)) + 9.63901989994471*x92*x92 - x500
        - x550 =E= 0;

e233.. x93*x69*(0.266828178571726*sin(x205 - x229) - 1.72073853794835*cos(x205
        - x229)) + x93*x73*(0.859528487229863*sin(x209 - x229) - 
       8.71807465618861*cos(x209 - x229)) + x93*x81*(0.824884423842853*sin(x217
        - x229) - 6.35284123437183*cos(x217 - x229)) + 108.002456681789*x93*x93
        + x93*x97*(6.44641418211119*sin(x233 - x229) - 56.4061240934729*cos(
       x233 - x229)) + x93*x101*(1.0868194879776*sin(x237 - x229) - 
       10.3682579153063*cos(x237 - x229)) - 20*x93*x125*cos(x261 - x229) + x93*
       x133*(0.960217580113289*sin(x269 - x229) - 4.55022024450081*cos(x269 - 
       x229)) - 0.35*x93*x93 - x501 - x551 =E= 0;

e234.. x94*x74*(0.859528487229863*sin(x210 - x230) - 8.71807465618861*cos(x210
        - x230)) + x94*x82*(0.824884423842853*sin(x218 - x230) - 
       6.35284123437183*cos(x218 - x230)) + 106.317318143841*x94*x94 + x94*x98*
       (6.44641418211119*sin(x234 - x230) - 56.4061240934729*cos(x234 - x230))
        + x94*x102*(1.0868194879776*sin(x238 - x230) - 10.3682579153063*cos(
       x238 - x230)) - 20*x94*x126*cos(x262 - x230) + x94*x134*(
       0.960217580113289*sin(x270 - x230) - 4.55022024450081*cos(x270 - x230))
        - 0.35*x94*x94 - x502 - x551 =E= 0;

e235.. x95*x71*(0.266828178571726*sin(x207 - x231) - 1.72073853794835*cos(x207
        - x231)) + x95*x75*(0.859528487229863*sin(x211 - x231) - 
       8.71807465618861*cos(x211 - x231)) + x95*x83*(0.824884423842853*sin(x219
        - x231) - 6.35284123437183*cos(x219 - x231)) + 108.002456681789*x95*x95
        + x95*x99*(6.44641418211119*sin(x235 - x231) - 56.4061240934729*cos(
       x235 - x231)) + x95*x103*(1.0868194879776*sin(x239 - x231) - 
       10.3682579153063*cos(x239 - x231)) - 20*x95*x127*cos(x263 - x231) + x95*
       x135*(0.960217580113289*sin(x271 - x231) - 4.55022024450081*cos(x271 - 
       x231)) - 0.35*x95*x95 - x503 - x551 =E= 0;

e236.. x96*x72*(0.266828178571726*sin(x208 - x232) - 1.72073853794835*cos(x208
        - x232)) + x96*x76*(0.859528487229863*sin(x212 - x232) - 
       8.71807465618861*cos(x212 - x232)) + x96*x84*(0.824884423842853*sin(x220
        - x232) - 6.35284123437183*cos(x220 - x232)) + 108.002456681789*x96*x96
        + x96*x100*(6.44641418211119*sin(x236 - x232) - 56.4061240934729*cos(
       x236 - x232)) + x96*x104*(1.0868194879776*sin(x240 - x232) - 
       10.3682579153063*cos(x240 - x232)) - 20*x96*x128*cos(x264 - x232) + x96*
       x136*(0.960217580113289*sin(x272 - x232) - 4.55022024450081*cos(x272 - 
       x232)) - 0.35*x96*x96 - x504 - x551 =E= 0;

e237.. x97*x93*(6.44641418211119*sin(x229 - x233) - 56.4061240934729*cos(x229
        - x233)) + 69.1318531090383*x97*x97 + x97*x101*(1.47850014374307*sin(
       x237 - x233) - 12.7315290155653*cos(x237 - x233)) - x505 - x552 =E= 0;

e238.. x98*x94*(6.44641418211119*sin(x230 - x234) - 56.4061240934729*cos(x230
        - x234)) + 69.1318531090383*x98*x98 + x98*x102*(1.47850014374307*sin(
       x238 - x234) - 12.7315290155653*cos(x238 - x234)) - x506 - x552 =E= 0;

e239.. x99*x95*(6.44641418211119*sin(x231 - x235) - 56.4061240934729*cos(x231
        - x235)) + 69.1318531090383*x99*x99 + x99*x103*(1.47850014374307*sin(
       x239 - x235) - 12.7315290155653*cos(x239 - x235)) - x507 - x552 =E= 0;

e240.. x100*x96*(6.44641418211119*sin(x232 - x236) - 56.4061240934729*cos(x232
        - x236)) + 69.1318531090383*x100*x100 + x100*x104*(1.47850014374307*
       sin(x240 - x236) - 12.7315290155653*cos(x240 - x236)) - x508 - x552
        =E= 0;

e241.. x101*x93*(1.0868194879776*sin(x229 - x237) - 10.3682579153063*cos(x229
        - x237)) + x101*x97*(1.47850014374307*sin(x233 - x237) - 
       12.7315290155653*cos(x233 - x237)) + 44.3873687590736*x101*x101 + x101*
       x105*(1.53864841883629*sin(x241 - x237) - 12.6331133336033*cos(x241 - 
       x237)) + x101*x109*(0.331816706971196*sin(x245 - x237) - 
       2.02240182793204*cos(x245 - x237)) - 6.66666666666667*x101*x121*cos(x257
        - x237) - 0.15*x101*x101 - x509 - x553 =E= 0;

e242.. x102*x94*(1.0868194879776*sin(x230 - x238) - 10.3682579153063*cos(x230
        - x238)) + x102*x98*(1.47850014374307*sin(x234 - x238) - 
       12.7315290155653*cos(x234 - x238)) + 44.3873687590736*x102*x102 + x102*
       x106*(1.53864841883629*sin(x242 - x238) - 12.6331133336033*cos(x242 - 
       x238)) + x102*x110*(0.331816706971196*sin(x246 - x238) - 
       2.02240182793204*cos(x246 - x238)) - 6.66666666666667*x102*x122*cos(x258
        - x238) - 0.15*x102*x102 - x510 - x553 =E= 0;

e243.. x103*x95*(1.0868194879776*sin(x231 - x239) - 10.3682579153063*cos(x231
        - x239)) + x103*x99*(1.47850014374307*sin(x235 - x239) - 
       12.7315290155653*cos(x235 - x239)) + 44.3873687590736*x103*x103 + x103*
       x107*(1.53864841883629*sin(x243 - x239) - 12.6331133336033*cos(x243 - 
       x239)) + x103*x111*(0.331816706971196*sin(x247 - x239) - 
       2.02240182793204*cos(x247 - x239)) - 6.66666666666667*x103*x123*cos(x259
        - x239) - 0.15*x103*x103 - x511 - x553 =E= 0;

e244.. x104*x96*(1.0868194879776*sin(x232 - x240) - 10.3682579153063*cos(x232
        - x240)) + x104*x100*(1.47850014374307*sin(x236 - x240) - 
       12.7315290155653*cos(x236 - x240)) + 31.7592554254704*x104*x104 + x104*
       x112*(0.331816706971196*sin(x248 - x240) - 2.02240182793204*cos(x248 - 
       x240)) - 6.66666666666667*x104*x124*cos(x260 - x240) - 0.15*x104*x104
        - x512 - x553 =E= 0;

e245.. x105*x101*(1.53864841883629*sin(x237 - x241) - 12.6331133336033*cos(x237
        - x241)) + 22.0194855882646*x105*x105 + x105*x109*(0.337272652361963*
       sin(x245 - x241) - 2.74800558799463*cos(x245 - x241)) - 6.66666666666667
       *x105*x113*cos(x249 - x241) - x513 - x554 =E= 0;

e246.. x106*x102*(1.53864841883629*sin(x238 - x242) - 12.6331133336033*cos(x238
        - x242)) + 22.0194855882646*x106*x106 + x106*x110*(0.337272652361963*
       sin(x246 - x242) - 2.74800558799463*cos(x246 - x242)) - 6.66666666666667
       *x106*x114*cos(x250 - x242) - x514 - x554 =E= 0;

e247.. x107*x103*(1.53864841883629*sin(x239 - x243) - 12.6331133336033*cos(x239
        - x243)) + 22.0194855882646*x107*x107 + x107*x111*(0.337272652361963*
       sin(x247 - x243) - 2.74800558799463*cos(x247 - x243)) - 6.66666666666667
       *x107*x115*cos(x251 - x243) - x515 - x554 =E= 0;

e248.. 9.39137225466129*x108*x108 + x108*x112*(0.337272652361963*sin(x248 - 
       x244) - 2.74800558799463*cos(x248 - x244)) - 6.66666666666667*x108*x116*
       cos(x252 - x244) - x516 - x554 =E= 0;

e249.. x109*x101*(0.331816706971196*sin(x237 - x245) - 2.02240182793204*cos(
       x237 - x245)) + x109*x105*(0.337272652361963*sin(x241 - x245) - 
       2.74800558799463*cos(x241 - x245)) + 8.06134074926*x109*x109 - 
       3.33333333333333*x109*x117*cos(x253 - x245) - x517 - x555 =E= 0;

e250.. x110*x102*(0.331816706971196*sin(x238 - x246) - 2.02240182793204*cos(
       x238 - x246)) + x110*x106*(0.337272652361963*sin(x242 - x246) - 
       2.74800558799463*cos(x242 - x246)) + 8.06134074926*x110*x110 - 
       3.33333333333333*x110*x118*cos(x254 - x246) - x518 - x555 =E= 0;

e251.. x111*x103*(0.331816706971196*sin(x239 - x247) - 2.02240182793204*cos(
       x239 - x247)) + x111*x107*(0.337272652361963*sin(x243 - x247) - 
       2.74800558799463*cos(x243 - x247)) + 8.06134074926*x111*x111 - 
       3.33333333333333*x111*x119*cos(x255 - x247) - x519 - x555 =E= 0;

e252.. x112*x104*(0.331816706971196*sin(x240 - x248) - 2.02240182793204*cos(
       x240 - x248)) + x112*x108*(0.337272652361963*sin(x244 - x248) - 
       2.74800558799463*cos(x244 - x248)) + 8.06134074926*x112*x112 - 
       3.33333333333333*x112*x120*cos(x256 - x248) - x520 - x555 =E= 0;

e253.. 6.66666666666667*x113*x113 - 6.66666666666667*x113*x105*cos(x241 - x249)
        - 0.3*x113*x113 - x521 - x556 =E= 0;

e254.. 6.66666666666667*x114*x114 - 6.66666666666667*x114*x106*cos(x242 - x250)
        - 0.3*x114*x114 - x522 - x556 =E= 0;

e255.. 6.66666666666667*x115*x115 - 6.66666666666667*x115*x107*cos(x243 - x251)
        - 0.3*x115*x115 - x523 - x556 =E= 0;

e256.. 6.66666666666667*x116*x116 - 6.66666666666667*x116*x108*cos(x244 - x252)
        - 0.3*x116*x116 - x524 - x556 =E= 0;

e257.. 3.33333333333333*x117*x117 - 3.33333333333333*x117*x109*cos(x245 - x253)
        - 0.04*x117*x117 - x525 - x557 =E= 0;

e258.. 3.33333333333333*x118*x118 - 3.33333333333333*x118*x110*cos(x246 - x254)
        - 0.04*x118*x118 - x526 - x557 =E= 0;

e259.. 3.33333333333333*x119*x119 - 3.33333333333333*x119*x111*cos(x247 - x255)
        - 0.04*x119*x119 - x527 - x557 =E= 0;

e260.. 3.33333333333333*x120*x120 - 3.33333333333333*x120*x112*cos(x248 - x256)
        - 0.04*x120*x120 - x528 - x557 =E= 0;

e261.. 6.66666666666667*x121*x121 - 6.66666666666667*x121*x101*cos(x237 - x257)
        - 0.12*x121*x121 - x529 - x558 =E= 0;

e262.. 6.66666666666667*x122*x122 - 6.66666666666667*x122*x102*cos(x238 - x258)
        - 0.12*x122*x122 - x530 - x558 =E= 0;

e263.. 6.66666666666667*x123*x123 - 6.66666666666667*x123*x103*cos(x239 - x259)
        - 0.12*x123*x123 - x531 - x558 =E= 0;

e264.. 6.66666666666667*x124*x124 - 6.66666666666667*x124*x104*cos(x240 - x260)
        - 0.12*x124*x124 - x532 - x558 =E= 0;

e265.. 20*x125*x125 - 20*x125*x93*cos(x229 - x261) - 0.4*x125*x125 - x533
        - x559 =E= 0;

e266.. 20*x126*x126 - 20*x126*x94*cos(x230 - x262) - 0.4*x126*x126 - x534
        - x559 =E= 0;

e267.. 20*x127*x127 - 20*x127*x95*cos(x231 - x263) - 0.4*x127*x127 - x535
        - x559 =E= 0;

e268.. 20*x128*x128 - 20*x128*x96*cos(x232 - x264) - 0.4*x128*x128 - x536
        - x559 =E= 0;

e269.. 7.63358778625954*x129*x129 - 7.63358778625954*x129*x81*cos(x217 - x265)
        - x537 - x560 =E= 0;

e270.. 7.63358778625954*x130*x130 - 7.63358778625954*x130*x82*cos(x218 - x266)
        - x538 - x560 =E= 0;

e271.. 7.63358778625954*x131*x131 - 7.63358778625954*x131*x83*cos(x219 - x267)
        - x539 - x560 =E= 0;

e272.. 7.63358778625954*x132*x132 - 7.63358778625954*x132*x84*cos(x220 - x268)
        - x540 - x560 =E= 0;

e273.. x133*x69*(0.960217580113289*sin(x205 - x269) - 4.55022024450081*cos(x205
        - x269)) + x133*x93*(0.960217580113289*sin(x229 - x269) - 
       4.55022024450081*cos(x229 - x269)) + 9.05104048900162*x133*x133 - x541
        - x561 =E= 0;

e274.. x134*x70*(0.960217580113289*sin(x206 - x270) - 4.55022024450081*cos(x206
        - x270)) + x134*x94*(0.960217580113289*sin(x230 - x270) - 
       4.55022024450081*cos(x230 - x270)) + 9.05104048900162*x134*x134 - x542
        - x561 =E= 0;

e275.. x135*x71*(0.960217580113289*sin(x207 - x271) - 4.55022024450081*cos(x207
        - x271)) + x135*x95*(0.960217580113289*sin(x231 - x271) - 
       4.55022024450081*cos(x231 - x271)) + 9.05104048900162*x135*x135 - x543
        - x561 =E= 0;

e276.. x136*x72*(0.960217580113289*sin(x208 - x272) - 4.55022024450081*cos(x208
        - x272)) + x136*x96*(0.960217580113289*sin(x232 - x272) - 
       4.55022024450081*cos(x232 - x272)) + 9.05104048900162*x136*x136 - x544
        - x561 =E= 0;

e277..  - x409 =G= -2.5;

e278..  - x410 =G= -2.5;

e279..  - x411 =G= -2.5;

e280..  - x412 =G= -2.5;

e281..  - x417 =G= -1;

e282..  - x418 =G= -1;

e283..  - x419 =G= -1;

e284..  - x420 =G= -1;

e285..  - x425 =G= -1.2;

e286..  - x426 =G= -1.2;

e287..  - x427 =G= -1.2;

e288..  - x428 =G= -1.2;

e289..  - x437 =G= -0.24;

e290..  - x438 =G= -0.24;

e291..  - x439 =G= -0.24;

e292..  - x440 =G= -0.24;

e293..  - x469 =G= -1;

e294..  - x470 =G= -1;

e295..  - x471 =G= -1;

e296..  - x472 =G= -1;

e297..    x409 =G= 0;

e298..    x410 =G= 0;

e299..    x411 =G= 0;

e300..    x412 =G= 0;

e301..    x417 =G= 0;

e302..    x418 =G= 0;

e303..    x419 =G= 0;

e304..    x420 =G= 0;

e305..    x425 =G= 0;

e306..    x426 =G= 0;

e307..    x427 =G= 0;

e308..    x428 =G= 0;

e309..    x437 =G= 0;

e310..    x438 =G= 0;

e311..    x439 =G= 0;

e312..    x440 =G= 0;

e313..    x469 =G= 0;

e314..    x470 =G= 0;

e315..    x471 =G= 0;

e316..    x472 =G= 0;

e317..  - x477 =G= -1.5;

e318..  - x478 =G= -1.5;

e319..  - x479 =G= -1.5;

e320..  - x480 =G= -1.5;

e321..  - x485 =G= -0.3;

e322..  - x486 =G= -0.3;

e323..  - x487 =G= -0.3;

e324..  - x488 =G= -0.3;

e325..  - x493 =G= -0.4;

e326..  - x494 =G= -0.4;

e327..  - x495 =G= -0.4;

e328..  - x496 =G= -0.4;

e329..  - x505 =G= -0.13;

e330..  - x506 =G= -0.13;

e331..  - x507 =G= -0.13;

e332..  - x508 =G= -0.13;

e333..  - x537 =G= -0.48;

e334..  - x538 =G= -0.48;

e335..  - x539 =G= -0.48;

e336..  - x540 =G= -0.48;

e337..    x477 =G= -0.4;

e338..    x478 =G= -0.4;

e339..    x479 =G= -0.4;

e340..    x480 =G= -0.4;

e341..    x485 =G= -0.3;

e342..    x486 =G= -0.3;

e343..    x487 =G= -0.3;

e344..    x488 =G= -0.3;

e345..    x493 =G= -0.3;

e346..    x494 =G= -0.3;

e347..    x495 =G= -0.3;

e348..    x496 =G= -0.3;

e349..    x505 =G= -0.1;

e350..    x506 =G= -0.1;

e351..    x507 =G= -0.1;

e352..    x508 =G= -0.1;

e353..    x537 =G= -0.08;

e354..    x538 =G= -0.08;

e355..    x539 =G= -0.08;

e356..    x540 =G= -0.08;

e357..    x413 =L= 0;

e358..    x414 =L= 0;

e359..    x415 =L= 0;

e360..    x416 =L= 0;

e361..    x421 =L= 0;

e362..    x422 =L= 0;

e363..    x423 =L= 0;

e364..    x424 =L= 0;

e365..    x429 =L= -0.444444444444444;

e366..    x430 =L= -0.444444444444444;

e367..    x431 =L= -0.444444444444444;

e368..    x432 =L= -0.444444444444444;

e369..    x433 =L= -1;

e370..    x434 =L= -1;

e371..    x435 =L= -1;

e372..    x436 =L= -1;

e373..    x441 =L= 0;

e374..    x442 =L= 0;

e375..    x443 =L= 0;

e376..    x444 =L= 0;

e377..    x445 =L= 0;

e378..    x446 =L= 0;

e379..    x447 =L= 0;

e380..    x448 =L= 0;

e381..    x449 =L= 0;

e382..    x450 =L= 0;

e383..    x451 =L= 0;

e384..    x452 =L= 0;

e385..    x453 =L= -0.444444444444444;

e386..    x454 =L= -0.444444444444444;

e387..    x455 =L= -0.444444444444444;

e388..    x456 =L= -0.444444444444444;

e389..    x457 =L= -0.333333333333333;

e390..    x458 =L= -0.333333333333333;

e391..    x459 =L= -0.333333333333333;

e392..    x460 =L= -0.333333333333333;

e393..    x461 =L= -0.555555555555556;

e394..    x462 =L= -0.555555555555556;

e395..    x463 =L= -0.555555555555556;

e396..    x464 =L= -0.555555555555556;

e397..    x465 =L= -1.66666666666667;

e398..    x466 =L= -1.66666666666667;

e399..    x467 =L= -1.66666666666667;

e400..    x468 =L= -1.66666666666667;

e401..    x473 =L= 0;

e402..    x474 =L= 0;

e403..    x475 =L= 0;

e404..    x476 =L= 0;

e405..    x481 =L= 0;

e406..    x482 =L= 0;

e407..    x483 =L= 0;

e408..    x484 =L= 0;

e409..    x489 =L= 0;

e410..    x490 =L= 0;

e411..    x491 =L= 0;

e412..    x492 =L= 0;

e413..    x497 =L= -0.111111111111111;

e414..    x498 =L= -0.111111111111111;

e415..    x499 =L= -0.111111111111111;

e416..    x500 =L= -0.111111111111111;

e417..    x501 =L= -0.255555555555555;

e418..    x502 =L= -0.255555555555555;

e419..    x503 =L= -0.255555555555555;

e420..    x504 =L= -0.255555555555555;

e421..    x509 =L= 0;

e422..    x510 =L= 0;

e423..    x511 =L= 0;

e424..    x512 =L= 0;

e425..    x513 =L= 0;

e426..    x514 =L= 0;

e427..    x515 =L= 0;

e428..    x516 =L= 0;

e429..    x517 =L= 0;

e430..    x518 =L= 0;

e431..    x519 =L= 0;

e432..    x520 =L= 0;

e433..    x521 =L= -0.111111111111111;

e434..    x522 =L= -0.111111111111111;

e435..    x523 =L= -0.111111111111111;

e436..    x524 =L= -0.111111111111111;

e437..    x525 =L= -0.0888888888888889;

e438..    x526 =L= -0.0888888888888889;

e439..    x527 =L= -0.0888888888888889;

e440..    x528 =L= -0.0888888888888889;

e441..    x529 =L= -0.144444444444445;

e442..    x530 =L= -0.144444444444445;

e443..    x531 =L= -0.144444444444445;

e444..    x532 =L= -0.144444444444445;

e445..    x533 =L= -0.422222222222222;

e446..    x534 =L= -0.422222222222222;

e447..    x535 =L= -0.422222222222222;

e448..    x536 =L= -0.422222222222222;

e449..    x541 =L= 0;

e450..    x542 =L= 0;

e451..    x543 =L= 0;

e452..    x544 =L= 0;

e453..  - 500*x546 - 500*x548 - 500*x550 - 500*x551 - 500*x553 - 500*x554
        - 500*x555 - 500*x556 - 500*x557 - 500*x558 - 500*x559 - 500*x561
        + objvar - 10*b563 - 10*b564 - 10*b565 - 10*b566 - 10*b567 - 10*b568
        - 10*b569 - 10*b570 - 10*b571 - 10*b572 - 10*b573 - 10*b574 =E= 0;

e454..    x546 - 0.4*b563 =L= 0;

e455..    x548 - 0.4*b564 =L= 0;

e456..    x550 - 0.4*b565 =L= 0;

e457..    x551 - 0.4*b566 =L= 0;

e458..    x553 - 0.4*b567 =L= 0;

e459..    x554 - 0.4*b568 =L= 0;

e460..    x555 - 0.4*b569 =L= 0;

e461..    x556 - 0.4*b570 =L= 0;

e462..    x557 - 0.4*b571 =L= 0;

e463..    x558 - 0.4*b572 =L= 0;

e464..    x559 - 0.4*b573 =L= 0;

e465..    x561 - 0.4*b574 =L= 0;

* set non-default bounds
x1.fx = 1.06;
x2.fx = 1.06;
x3.fx = 1.06;
x4.fx = 1.06;
x5.lo = 0.9; x5.up = 1.1;
x6.lo = 0.9; x6.up = 1.1;
x7.lo = 0.9; x7.up = 1.1;
x8.lo = 0.9; x8.up = 1.1;
x9.lo = 1.02; x9.up = 1.05;
x10.lo = 1.02; x10.up = 1.05;
x11.lo = 1.02; x11.up = 1.05;
x12.lo = 1.02; x12.up = 1.05;
x13.lo = 0.9; x13.up = 1.1;
x14.lo = 0.9; x14.up = 1.1;
x15.lo = 0.9; x15.up = 1.1;
x16.lo = 0.9; x16.up = 1.1;
x17.lo = 1.02; x17.up = 1.05;
x18.lo = 1.02; x18.up = 1.05;
x19.lo = 1.02; x19.up = 1.05;
x20.lo = 1.02; x20.up = 1.05;
x21.lo = 0.9; x21.up = 1.1;
x22.lo = 0.9; x22.up = 1.1;
x23.lo = 0.9; x23.up = 1.1;
x24.lo = 0.9; x24.up = 1.1;
x25.lo = 0.9; x25.up = 1.1;
x26.lo = 0.9; x26.up = 1.1;
x27.lo = 0.9; x27.up = 1.1;
x28.lo = 0.9; x28.up = 1.1;
x29.lo = 0.95;
x30.lo = 0.95;
x31.lo = 0.95;
x32.lo = 0.95;
x33.lo = 0.9; x33.up = 1.1;
x34.lo = 0.9; x34.up = 1.1;
x35.lo = 0.9; x35.up = 1.1;
x36.lo = 0.9; x36.up = 1.1;
x37.lo = 0.9; x37.up = 1.1;
x38.lo = 0.9; x38.up = 1.1;
x39.lo = 0.9; x39.up = 1.1;
x40.lo = 0.9; x40.up = 1.1;
x41.lo = 0.9; x41.up = 1.1;
x42.lo = 0.9; x42.up = 1.1;
x43.lo = 0.9; x43.up = 1.1;
x44.lo = 0.9; x44.up = 1.1;
x45.lo = 0.9; x45.up = 1.1;
x46.lo = 0.9; x46.up = 1.1;
x47.lo = 0.9; x47.up = 1.1;
x48.lo = 0.9; x48.up = 1.1;
x49.lo = 0.9; x49.up = 1.1;
x50.lo = 0.9; x50.up = 1.1;
x51.lo = 0.9; x51.up = 1.1;
x52.lo = 0.9; x52.up = 1.1;
x53.lo = 0.9; x53.up = 1.1;
x54.lo = 0.9; x54.up = 1.1;
x55.lo = 0.9; x55.up = 1.1;
x56.lo = 0.9; x56.up = 1.1;
x57.lo = 0.9; x57.up = 1.1;
x58.lo = 0.9; x58.up = 1.1;
x59.lo = 0.9; x59.up = 1.1;
x60.lo = 0.9; x60.up = 1.1;
x61.lo = 0.95;
x62.lo = 0.95;
x63.lo = 0.95;
x64.lo = 0.95;
x65.lo = 0.9; x65.up = 1.1;
x66.lo = 0.9; x66.up = 1.1;
x67.lo = 0.9; x67.up = 1.1;
x68.lo = 0.9; x68.up = 1.1;
x69.fx = 1.06;
x70.fx = 1.06;
x71.fx = 1.06;
x72.fx = 1.06;
x73.up = 1.05;
x74.up = 1.05;
x75.up = 1.05;
x76.up = 1.05;
x77.lo = 0.9; x77.up = 1.1;
x78.lo = 0.9; x78.up = 1.1;
x79.lo = 0.9; x79.up = 1.1;
x80.lo = 0.9; x80.up = 1.1;
x81.up = 1.05;
x82.up = 1.05;
x83.up = 1.05;
x84.up = 1.05;
x85.lo = 0.9; x85.up = 1.1;
x86.lo = 0.9; x86.up = 1.1;
x87.lo = 0.9; x87.up = 1.1;
x88.lo = 0.9; x88.up = 1.1;
x89.up = 1.05;
x90.up = 1.05;
x91.up = 1.05;
x92.up = 1.05;
x93.up = 1.05;
x94.up = 1.05;
x95.up = 1.05;
x96.up = 1.05;
x97.lo = 0.9;
x98.lo = 0.9;
x99.lo = 0.9;
x100.lo = 0.9;
x101.up = 1.05;
x102.up = 1.05;
x103.up = 1.05;
x104.up = 1.05;
x105.up = 1.05;
x106.up = 1.05;
x107.up = 1.05;
x108.up = 1.05;
x109.up = 1.05;
x110.up = 1.05;
x111.up = 1.05;
x112.up = 1.05;
x113.up = 1.05;
x114.up = 1.05;
x115.up = 1.05;
x116.up = 1.05;
x117.up = 1.05;
x118.up = 1.05;
x119.up = 1.05;
x120.up = 1.05;
x121.up = 1.05;
x122.up = 1.05;
x123.up = 1.05;
x124.up = 1.05;
x125.up = 1.05;
x126.up = 1.05;
x127.up = 1.05;
x128.up = 1.05;
x129.lo = 0.9;
x130.lo = 0.9;
x131.lo = 0.9;
x132.lo = 0.9;
x133.up = 1.05;
x134.up = 1.05;
x135.up = 1.05;
x136.up = 1.05;
x137.fx = 0;
x138.fx = 0;
x139.fx = 0;
x140.fx = 0;
x205.fx = 0;
x206.fx = 0;
x207.fx = 0;
x208.fx = 0;
x273.up = 2.5;
x274.up = 2.5;
x275.up = 2.5;
x276.up = 2.5;
x277.fx = 0;
x278.fx = 0;
x279.fx = 0;
x280.fx = 0;
x281.lo = 0.9; x281.up = 1;
x282.lo = 0.9; x282.up = 1;
x283.lo = 0.9; x283.up = 1;
x284.lo = 0.9; x284.up = 1;
x285.fx = 0;
x286.fx = 0;
x287.fx = 0;
x288.fx = 0;
x289.lo = 1.1; x289.up = 1.2;
x290.lo = 1.1; x290.up = 1.2;
x291.lo = 1.1; x291.up = 1.2;
x292.lo = 1.1; x292.up = 1.2;
x293.fx = 0;
x294.fx = 0;
x295.fx = 0;
x296.fx = 0;
x297.fx = 0;
x298.fx = 0;
x299.fx = 0;
x300.fx = 0;
x301.lo = 0.1; x301.up = 0.24;
x302.lo = 0.1; x302.up = 0.24;
x303.lo = 0.1; x303.up = 0.24;
x304.lo = 0.1; x304.up = 0.24;
x305.fx = 0;
x306.fx = 0;
x307.fx = 0;
x308.fx = 0;
x309.fx = 0;
x310.fx = 0;
x311.fx = 0;
x312.fx = 0;
x313.fx = 0;
x314.fx = 0;
x315.fx = 0;
x316.fx = 0;
x317.fx = 0;
x318.fx = 0;
x319.fx = 0;
x320.fx = 0;
x321.fx = 0;
x322.fx = 0;
x323.fx = 0;
x324.fx = 0;
x325.fx = 0;
x326.fx = 0;
x327.fx = 0;
x328.fx = 0;
x329.fx = 0;
x330.fx = 0;
x331.fx = 0;
x332.fx = 0;
x333.lo = 0.8; x333.up = 1;
x334.lo = 0.8; x334.up = 1;
x335.lo = 0.8; x335.up = 1;
x336.lo = 0.8; x336.up = 1;
x337.fx = 0;
x338.fx = 0;
x339.fx = 0;
x340.fx = 0;
x341.lo = -0.4; x341.up = 1.5;
x342.lo = -0.4; x342.up = 1.5;
x343.lo = -0.4; x343.up = 1.5;
x344.lo = -0.4; x344.up = 1.5;
x345.fx = 0;
x346.fx = 0;
x347.fx = 0;
x348.fx = 0;
x349.lo = -0.3; x349.up = 0.3;
x350.lo = -0.3; x350.up = 0.3;
x351.lo = -0.3; x351.up = 0.3;
x352.lo = -0.3; x352.up = 0.3;
x353.fx = 0;
x354.fx = 0;
x355.fx = 0;
x356.fx = 0;
x357.lo = -0.3; x357.up = 0.4;
x358.lo = -0.3; x358.up = 0.4;
x359.lo = -0.3; x359.up = 0.4;
x360.lo = -0.3; x360.up = 0.4;
x361.fx = 0;
x362.fx = 0;
x363.fx = 0;
x364.fx = 0;
x365.fx = 0;
x366.fx = 0;
x367.fx = 0;
x368.fx = 0;
x369.lo = -0.1; x369.up = 0.13;
x370.lo = -0.1; x370.up = 0.13;
x371.lo = -0.1; x371.up = 0.13;
x372.lo = -0.1; x372.up = 0.13;
x373.fx = 0;
x374.fx = 0;
x375.fx = 0;
x376.fx = 0;
x377.fx = 0;
x378.fx = 0;
x379.fx = 0;
x380.fx = 0;
x381.fx = 0;
x382.fx = 0;
x383.fx = 0;
x384.fx = 0;
x385.fx = 0;
x386.fx = 0;
x387.fx = 0;
x388.fx = 0;
x389.fx = 0;
x390.fx = 0;
x391.fx = 0;
x392.fx = 0;
x393.fx = 0;
x394.fx = 0;
x395.fx = 0;
x396.fx = 0;
x397.fx = 0;
x398.fx = 0;
x399.fx = 0;
x400.fx = 0;
x401.lo = -0.08; x401.up = 0.48;
x402.lo = -0.08; x402.up = 0.48;
x403.lo = -0.08; x403.up = 0.48;
x404.lo = -0.08; x404.up = 0.48;
x405.fx = 0;
x406.fx = 0;
x407.fx = 0;
x408.fx = 0;
x417.lo = 0.9;
x418.lo = 0.9;
x419.lo = 0.9;
x420.lo = 0.9;
x425.lo = 1.1;
x426.lo = 1.1;
x427.lo = 1.1;
x428.lo = 1.1;
x437.lo = 0.1;
x438.lo = 0.1;
x439.lo = 0.1;
x440.lo = 0.1;
x469.lo = 0.8;
x470.lo = 0.8;
x471.lo = 0.8;
x472.lo = 0.8;
x545.fx = 0;
x547.fx = 0;
x549.fx = 0;
x552.fx = 0;
x560.fx = 0;
b563.fx = 0;
b574.fx = 0;

* set non-default levels
x5.l = 0.972759;
x6.l = 0.972759;
x7.l = 0.972759;
x8.l = 0.972759;
x9.l = 1.035835;
x10.l = 1.035835;
x11.l = 1.035835;
x12.l = 1.035835;
x13.l = 0.969394;
x14.l = 0.969394;
x15.l = 0.969394;
x16.l = 0.969394;
x21.l = 0.980003;
x22.l = 0.980003;
x23.l = 0.980003;
x24.l = 0.980003;
x25.l = 0.987427;
x26.l = 0.987427;
x27.l = 0.987427;
x28.l = 0.987427;
x29.l = 0.989188;
x30.l = 0.989188;
x31.l = 0.989188;
x32.l = 0.989188;
x33.l = 1.003573;
x34.l = 1.003573;
x35.l = 1.003573;
x36.l = 1.003573;
x37.l = 1.011626;
x38.l = 1.011626;
x39.l = 1.011626;
x40.l = 1.011626;
x41.l = 0.990837;
x42.l = 0.990837;
x43.l = 0.990837;
x44.l = 0.990837;
x45.l = 1.042513;
x46.l = 1.042513;
x47.l = 1.042513;
x48.l = 1.042513;
x49.l = 0.973546;
x50.l = 0.973546;
x51.l = 0.973546;
x52.l = 0.973546;
x53.l = 1.0342;
x54.l = 1.0342;
x55.l = 1.0342;
x56.l = 1.0342;
x57.l = 1.005716;
x58.l = 1.005716;
x59.l = 1.005716;
x60.l = 1.005716;
x61.l = 0.986612;
x62.l = 0.986612;
x63.l = 0.986612;
x64.l = 0.986612;
x65.l = 0.998853;
x66.l = 0.998853;
x67.l = 0.998853;
x68.l = 0.998853;
x73.l = 0.992645;
x74.l = 0.992645;
x75.l = 0.992645;
x76.l = 0.992645;
x81.l = 0.997705;
x82.l = 0.997705;
x83.l = 0.997705;
x84.l = 0.997705;
x89.l = 0.988635;
x90.l = 0.988635;
x91.l = 0.988635;
x92.l = 0.988635;
x93.l = 1.00015;
x94.l = 1.00015;
x95.l = 1.00015;
x96.l = 1.00015;
x97.l = 1.00488;
x98.l = 1.00488;
x99.l = 1.00488;
x100.l = 1.00488;
x101.l = 1.014816;
x102.l = 1.014816;
x103.l = 1.014816;
x104.l = 1.014816;
x105.l = 1.0206;
x106.l = 1.0206;
x107.l = 1.0206;
x108.l = 1.0206;
x109.l = 0.996335;
x110.l = 0.996335;
x111.l = 0.996335;
x112.l = 0.996335;
x117.l = 0.975412;
x118.l = 0.975412;
x119.l = 0.975412;
x120.l = 0.975412;
x121.l = 1.042873;
x122.l = 1.042873;
x123.l = 1.042873;
x124.l = 1.042873;
x125.l = 1.016008;
x126.l = 1.016008;
x127.l = 1.016008;
x128.l = 1.016008;
x129.l = 1.049769;
x130.l = 1.049769;
x131.l = 1.049769;
x132.l = 1.049769;
x133.l = 0.990788;
x134.l = 0.990788;
x135.l = 0.990788;
x136.l = 0.990788;
x141.l = -0.372484;
x142.l = -0.372484;
x143.l = -0.372484;
x144.l = -0.372484;
x145.l = 0.372612;
x146.l = 0.372612;
x147.l = 0.372612;
x148.l = 0.372612;
x149.l = -0.256575;
x150.l = -0.256575;
x151.l = -0.256575;
x152.l = -0.256575;
x153.l = 0.392374;
x154.l = 0.392374;
x155.l = 0.392374;
x156.l = 0.392374;
x157.l = -0.195919;
x158.l = -0.195919;
x159.l = -0.195919;
x160.l = -0.195919;
x161.l = -0.486109;
x162.l = -0.486109;
x163.l = -0.486109;
x164.l = -0.486109;
x165.l = -0.49337;
x166.l = -0.49337;
x167.l = -0.49337;
x168.l = -0.49337;
x169.l = -0.544644;
x170.l = -0.544644;
x171.l = -0.544644;
x172.l = -0.544644;
x173.l = -0.586782;
x174.l = -0.586782;
x175.l = -0.586782;
x176.l = -0.586782;
x177.l = -0.629986;
x178.l = -0.629986;
x179.l = -0.629986;
x180.l = -0.629986;
x181.l = -0.643705;
x182.l = -0.643705;
x183.l = -0.643705;
x184.l = -0.643705;
x185.l = -0.723422;
x186.l = -0.723422;
x187.l = -0.723422;
x188.l = -0.723422;
x189.l = -0.616968;
x190.l = -0.616968;
x191.l = -0.616968;
x192.l = -0.616968;
x193.l = -0.561704;
x194.l = -0.561704;
x195.l = -0.561704;
x196.l = -0.561704;
x197.l = -0.119173;
x198.l = -0.119173;
x199.l = -0.119173;
x200.l = -0.119173;
x201.l = -0.235368;
x202.l = -0.235368;
x203.l = -0.235368;
x204.l = -0.235368;
x209.l = -0.470916;
x210.l = -0.470916;
x211.l = -0.470916;
x212.l = -0.470916;
x213.l = 0.266464;
x214.l = 0.266464;
x215.l = 0.266464;
x216.l = 0.266464;
x217.l = -0.351535;
x218.l = -0.351535;
x219.l = -0.351535;
x220.l = -0.351535;
x221.l = 0.259778;
x222.l = 0.259778;
x223.l = 0.259778;
x224.l = 0.259778;
x225.l = -0.259861;
x226.l = -0.259861;
x227.l = -0.259861;
x228.l = -0.259861;
x229.l = -0.589844;
x230.l = -0.589844;
x231.l = -0.589844;
x232.l = -0.589844;
x233.l = -0.598461;
x234.l = -0.598461;
x235.l = -0.598461;
x236.l = -0.598461;
x237.l = -0.653182;
x238.l = -0.653182;
x239.l = -0.653182;
x240.l = -0.653182;
x241.l = -0.698716;
x242.l = -0.698716;
x243.l = -0.698716;
x244.l = -0.698716;
x245.l = -0.745852;
x246.l = -0.745852;
x247.l = -0.745852;
x248.l = -0.745852;
x249.l = -0.760967;
x250.l = -0.760967;
x251.l = -0.760967;
x252.l = -0.760967;
x253.l = -0.848933;
x254.l = -0.848933;
x255.l = -0.848933;
x256.l = -0.848933;
x257.l = -0.732005;
x258.l = -0.732005;
x259.l = -0.732005;
x260.l = -0.732005;
x261.l = -0.671944;
x262.l = -0.671944;
x263.l = -0.671944;
x264.l = -0.671944;
x265.l = -0.22613;
x266.l = -0.22613;
x267.l = -0.22613;
x268.l = -0.22613;
x269.l = -0.287199;
x270.l = -0.287199;
x271.l = -0.287199;
x272.l = -0.287199;
x409.l = 1.673218;
x410.l = 1.673218;
x411.l = 1.673218;
x412.l = 1.673218;
x429.l = -0.444444;
x430.l = -0.444444;
x431.l = -0.444444;
x432.l = -0.444444;
x433.l = -1;
x434.l = -1;
x435.l = -1;
x436.l = -1;
x437.l = 0.24;
x438.l = 0.24;
x439.l = 0.24;
x440.l = 0.24;
x453.l = -0.444444;
x454.l = -0.444444;
x455.l = -0.444444;
x456.l = -0.444444;
x457.l = -0.333333;
x458.l = -0.333333;
x459.l = -0.333333;
x460.l = -0.333333;
x461.l = -0.555556;
x462.l = -0.555556;
x463.l = -0.555556;
x464.l = -0.555556;
x465.l = -1.666667;
x466.l = -1.666667;
x467.l = -1.666667;
x468.l = -1.666667;
x469.l = 1;
x470.l = 1;
x471.l = 1;
x472.l = 1;
x477.l = 0.494966;
x478.l = 0.494966;
x479.l = 0.494966;
x480.l = 0.494966;
x485.l = -0.139226;
x486.l = -0.139226;
x487.l = -0.139226;
x488.l = -0.139226;
x493.l = 0.173231;
x494.l = 0.173231;
x495.l = 0.173231;
x496.l = 0.173231;
x497.l = -0.111111;
x498.l = -0.111111;
x499.l = -0.111111;
x500.l = -0.111111;
x501.l = -0.255556;
x502.l = -0.255556;
x503.l = -0.255556;
x504.l = -0.255556;
x505.l = 0.13;
x506.l = 0.13;
x507.l = 0.13;
x508.l = 0.13;
x521.l = -0.111111;
x522.l = -0.111111;
x523.l = -0.111111;
x524.l = -0.111111;
x525.l = -0.088889;
x526.l = -0.088889;
x527.l = -0.088889;
x528.l = -0.088889;
x529.l = -0.144444;
x530.l = -0.144444;
x531.l = -0.144444;
x532.l = -0.144444;
x533.l = -0.422222;
x534.l = -0.422222;
x535.l = -0.422222;
x536.l = -0.422222;
x537.l = 0.48;
x538.l = 0.48;
x539.l = 0.48;
x540.l = 0.48;

Model m / all /;

m.limrow=0; m.limcol=0;
m.tolproj=0.0;

$if NOT '%gams.u1%' == '' $include '%gams.u1%'

$if not set MINLP $set MINLP MINLP
Solve m using %MINLP% minimizing objvar;


Last updated: 2024-08-26 Git hash: 6cc1607f
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