MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance: deb6

Formats ams gms mod nl osil
Primal Bounds
201.73930490 p1 ( gdx sol )
(infeas: 1e-11)
Dual Bounds
0.00000000 (COUENNE)
0.00000000 (LINDO)
Source GAMS Client
Application Electricity generation
Added to library 01 May 2001
Problem type MBNLP
#Variables 475
#Binary Variables 20
#Integer Variables 0
#Nonlinear Variables 336
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 40
#Nonlinear Nonzeros in Objective 0
#Constraints 507
#Linear Constraints 255
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 252
Operands in Gen. Nonlin. Functions mul cos sin sqrt sqr
Constraints curvature indefinite
#Nonzeros in Jacobian 2301
#Nonlinear Nonzeros in Jacobian 1432
#Nonzeros in (Upper-Left) Hessian of Lagrangian 1600
#Nonzeros in Diagonal of Hessian of Lagrangian 336
#Blocks in Hessian of Lagrangian 90
Minimal blocksize in Hessian of Lagrangian 2
Maximal blocksize in Hessian of Lagrangian 28
Average blocksize in Hessian of Lagrangian 3.733333
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Infeasibility of initial point 4.296
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
*        508      385       97       26        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        476      456       20        0        0        0        0        0
*  FX     14
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       2342      910     1432        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,objvar,b450,b451,b452,b453,b454
          ,b455,b456,b457,b458,b459,b460,b461,b462,b463,b464,b465,b466,b467
          ,b468,b469,x470,x471,x472,x473,x474,x475,x476;

Negative Variables  x171,x172,x173,x175,x177,x178,x179,x180,x181,x182,x185
          ,x186,x187,x189,x191,x192,x193,x194,x195,x196,x199,x200,x201,x203
          ,x205,x206,x207,x208,x209,x210,x213,x214,x215,x217,x219,x220,x221
          ,x222,x223,x224,x227,x228,x229,x231,x233,x234,x235,x236,x237,x238
          ,x241,x242,x243,x245,x247,x248,x249,x250,x251,x252,x255,x256,x257
          ,x259,x261,x262,x263,x264,x265,x266,x269,x270,x271,x273,x275,x276
          ,x277,x278,x279,x280,x283,x284,x285,x287,x289,x290,x291,x292,x293
          ,x294,x297,x298,x299,x301,x303,x304,x305,x306,x307,x308,x311,x312
          ,x313,x315,x317,x318,x319,x320,x321,x322,x325,x326,x327,x329,x331
          ,x332,x333,x334,x335,x336;

Positive Variables  x339,x340,x341,x343,x345,x346,x347,x348,x349,x350,x353
          ,x354,x355,x357,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,x470,x471,x472,x473,x474,x475;

Binary Variables  b450,b451,b452,b453,b454,b455,b456,b457,b458,b459,b460,b461
          ,b462,b463,b464,b465,b466,b467,b468,b469;

Equations  e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
          ,e20,e21,e22,e23,e24,e25,e26,e27,e28,e29,e30,e31,e32,e33,e34,e35,e36
          ,e37,e38,e39,e40,e41,e42,e43,e44,e45,e46,e47,e48,e49,e50,e51,e52,e53
          ,e54,e55,e56,e57,e58,e59,e60,e61,e62,e63,e64,e65,e66,e67,e68,e69,e70
          ,e71,e72,e73,e74,e75,e76,e77,e78,e79,e80,e81,e82,e83,e84,e85,e86,e87
          ,e88,e89,e90,e91,e92,e93,e94,e95,e96,e97,e98,e99,e100,e101,e102,e103
          ,e104,e105,e106,e107,e108,e109,e110,e111,e112,e113,e114,e115,e116
          ,e117,e118,e119,e120,e121,e122,e123,e124,e125,e126,e127,e128,e129
          ,e130,e131,e132,e133,e134,e135,e136,e137,e138,e139,e140,e141,e142
          ,e143,e144,e145,e146,e147,e148,e149,e150,e151,e152,e153,e154,e155
          ,e156,e157,e158,e159,e160,e161,e162,e163,e164,e165,e166,e167,e168
          ,e169,e170,e171,e172,e173,e174,e175,e176,e177,e178,e179,e180,e181
          ,e182,e183,e184,e185,e186,e187,e188,e189,e190,e191,e192,e193,e194
          ,e195,e196,e197,e198,e199,e200,e201,e202,e203,e204,e205,e206,e207
          ,e208,e209,e210,e211,e212,e213,e214,e215,e216,e217,e218,e219,e220
          ,e221,e222,e223,e224,e225,e226,e227,e228,e229,e230,e231,e232,e233
          ,e234,e235,e236,e237,e238,e239,e240,e241,e242,e243,e244,e245,e246
          ,e247,e248,e249,e250,e251,e252,e253,e254,e255,e256,e257,e258,e259
          ,e260,e261,e262,e263,e264,e265,e266,e267,e268,e269,e270,e271,e272
          ,e273,e274,e275,e276,e277,e278,e279,e280,e281,e282,e283,e284,e285
          ,e286,e287,e288,e289,e290,e291,e292,e293,e294,e295,e296,e297,e298
          ,e299,e300,e301,e302,e303,e304,e305,e306,e307,e308,e309,e310,e311
          ,e312,e313,e314,e315,e316,e317,e318,e319,e320,e321,e322,e323,e324
          ,e325,e326,e327,e328,e329,e330,e331,e332,e333,e334,e335,e336,e337
          ,e338,e339,e340,e341,e342,e343,e344,e345,e346,e347,e348,e349,e350
          ,e351,e352,e353,e354,e355,e356,e357,e358,e359,e360,e361,e362,e363
          ,e364,e365,e366,e367,e368,e369,e370,e371,e372,e373,e374,e375,e376
          ,e377,e378,e379,e380,e381,e382,e383,e384,e385,e386,e387,e388,e389
          ,e390,e391,e392,e393,e394,e395,e396,e397,e398,e399,e400,e401,e402
          ,e403,e404,e405,e406,e407,e408,e409,e410,e411,e412,e413,e414,e415
          ,e416,e417,e418,e419,e420,e421,e422,e423,e424,e425,e426,e427,e428
          ,e429,e430,e431,e432,e433,e434,e435,e436,e437,e438,e439,e440,e441
          ,e442,e443,e444,e445,e446,e447,e448,e449,e450,e451,e452,e453,e454
          ,e455,e456,e457,e458,e459,e460,e461,e462,e463,e464,e465,e466,e467
          ,e468,e469,e470,e471,e472,e473,e474,e475,e476,e477,e478,e479,e480
          ,e481,e482,e483,e484,e485,e486,e487,e488,e489,e490,e491,e492,e493
          ,e494,e495,e496,e497,e498,e499,e500,e501,e502,e503,e504,e505,e506
          ,e507,e508;


e1.. -(11.0241606565663*x1*x1 + x1*x2*(-9.99826320159607*cos(x86 - x85) - 
     30.5261730463591*sin(x86 - x85)) + x1*x5*(-1.02589745497019*cos(x89 - x85)
      - 4.23498368233483*sin(x89 - x85))) + x169 =E= 0;

e2.. -(x2*x1*(-9.99826320159607*cos(x85 - x86) - 30.5261730463591*sin(x85 - x86
     )) + 14.5204552116128*x2*x2 + x2*x3*(-1.1350191923074*cos(x87 - x86) - 
     4.78186315175772*sin(x87 - x86)) + x2*x4*(-1.68603315061494*cos(x88 - x86)
      - 5.11583832587208*sin(x88 - x86)) + x2*x5*(-1.70113966709441*cos(x89 - 
     x86) - 5.19392739796971*sin(x89 - x86))) + x170 =E= 0;

e3.. -(x3*x2*(-1.1350191923074*cos(x86 - x87) - 4.78186315175772*sin(x86 - x87)
     ) + 3.12099490223296*x3*x3 + x3*x4*(-1.98597570992556*cos(x88 - x87) - 
     5.06881697759392*sin(x88 - x87))) + x171 =E= 0;

e4.. -(x4*x2*(-1.68603315061494*cos(x86 - x88) - 5.11583832587208*sin(x86 - x88
     )) + x4*x3*(-1.98597570992556*cos(x87 - x88) - 5.06881697759392*sin(x87 - 
     x88)) + 10.5129895220362*x4*x4 + x4*x5*(-6.84098066149567*cos(x89 - x88)
      - 21.5785539816916*sin(x89 - x88)) - 4.78194338179036*x4*x7*sin(x91 - x88
     ) - 1.79797907152361*x4*x9*sin(x93 - x88)) + x172 =E= 0;

e5.. -(x5*x1*(-1.02589745497019*cos(x85 - x89) - 4.23498368233483*sin(x85 - x89
     )) + x5*x2*(-1.70113966709441*cos(x86 - x89) - 5.19392739796971*sin(x86 - 
     x89)) + x5*x4*(-6.84098066149567*cos(x88 - x89) - 21.5785539816916*sin(x88
      - x89)) + 9.56801778356026*x5*x5 - 3.96793905245615*x5*x6*sin(x90 - x89))
      + x173 =E= 0;

e6.. -(6.57992340746622*x6*x6 - 3.96793905245615*x6*x5*sin(x89 - x90) + x6*x11*
     (-1.95502856317726*cos(x95 - x90) - 4.09407434424044*sin(x95 - x90)) + x6*
     x12*(-1.52596744045097*cos(x96 - x90) - 3.1759639650294*sin(x96 - x90)) + 
     x6*x13*(-3.09892740383799*cos(x97 - x90) - 6.10275544819312*sin(x97 - x90)
     )) + x174 =E= 0;

e7.. -(-4.78194338179036*x7*x4*sin(x88 - x91) - 5.67697984672154*x7*x8*sin(x92
      - x91) - 9.09008271975275*x7*x9*sin(x93 - x91)) + x175 =E= 0;

e8.. 5.67697984672154*x8*x7*sin(x91 - x92) + x176 =E= 0;

e9.. -(-1.79797907152361*x9*x4*sin(x88 - x93) - 9.09008271975275*x9*x7*sin(x91
      - x93) + 5.32605503946736*x9*x9 + x9*x10*(-3.90204955244743*cos(x94 - x93
     ) - 10.3653941270609*sin(x94 - x93)) + x9*x14*(-1.42400548701993*cos(x98
      - x93) - 3.0290504569306*sin(x98 - x93))) + x177 =E= 0;

e10.. -(x10*x9*(-3.90204955244743*cos(x93 - x94) - 10.3653941270609*sin(x93 - 
      x94)) + 5.78293430614783*x10*x10 + x10*x11*(-1.8808847537004*cos(x95 - 
      x94) - 4.40294374946052*sin(x95 - x94))) + x178 =E= 0;

e11.. -(x11*x6*(-1.95502856317726*cos(x90 - x95) - 4.09407434424044*sin(x90 - 
      x95)) + x11*x10*(-1.8808847537004*cos(x94 - x95) - 4.40294374946052*sin(
      x94 - x95)) + 3.83591331687766*x11*x11) + x179 =E= 0;

e12.. -(x12*x6*(-1.52596744045097*cos(x90 - x96) - 3.1759639650294*sin(x90 - 
      x96)) + 4.01499202727289*x12*x12 + x12*x13*(-2.48902458682192*cos(x97 - 
      x96) - 2.25197462617221*sin(x97 - x96))) + x180 =E= 0;

e13.. -(x13*x6*(-3.09892740383799*cos(x90 - x97) - 6.10275544819312*sin(x90 - 
      x97)) + x13*x12*(-2.48902458682192*cos(x96 - x97) - 2.25197462617221*sin(
      x96 - x97)) + 6.72494614846623*x13*x13 + x13*x14*(-1.13699415780633*cos(
      x98 - x97) - 2.31496347510535*sin(x98 - x97))) + x181 =E= 0;

e14.. -(x14*x9*(-1.42400548701993*cos(x93 - x98) - 3.0290504569306*sin(x93 - 
      x98)) + x14*x13*(-1.13699415780633*cos(x97 - x98) - 2.31496347510535*sin(
      x97 - x98)) + 2.56099964482626*x14*x14) + x182 =E= 0;

e15.. -(6.02502905576822*x15*x15 + x15*x16*(-4.99913160079804*cos(x100 - x99)
       - 15.2630865231796*sin(x100 - x99)) + x15*x19*(-1.02589745497019*cos(
      x103 - x99) - 4.23498368233483*sin(x103 - x99))) + x183 =E= 0;

e16.. -(x16*x15*(-4.99913160079804*cos(x99 - x100) - 15.2630865231796*sin(x99
       - x100)) + 9.52132361081478*x16*x16 + x16*x17*(-1.1350191923074*cos(x101
       - x100) - 4.78186315175772*sin(x101 - x100)) + x16*x18*(-
      1.68603315061494*cos(x102 - x100) - 5.11583832587208*sin(x102 - x100)) + 
      x16*x19*(-1.70113966709441*cos(x103 - x100) - 5.19392739796971*sin(x103
       - x100))) + x184 =E= 0;

e17.. -(x17*x16*(-1.1350191923074*cos(x100 - x101) - 4.78186315175772*sin(x100
       - x101)) + 3.12099490223296*x17*x17 + x17*x18*(-1.98597570992556*cos(
      x102 - x101) - 5.06881697759392*sin(x102 - x101))) + x185 =E= 0;

e18.. -(x18*x16*(-1.68603315061494*cos(x100 - x102) - 5.11583832587208*sin(x100
       - x102)) + x18*x17*(-1.98597570992556*cos(x101 - x102) - 
      5.06881697759392*sin(x101 - x102)) + 10.5129895220362*x18*x18 + x18*x19*(
      -6.84098066149567*cos(x103 - x102) - 21.5785539816916*sin(x103 - x102))
       - 4.78194338179036*x18*x21*sin(x105 - x102) - 1.79797907152361*x18*x23*
      sin(x107 - x102)) + x186 =E= 0;

e19.. -(x19*x15*(-1.02589745497019*cos(x99 - x103) - 4.23498368233483*sin(x99
       - x103)) + x19*x16*(-1.70113966709441*cos(x100 - x103) - 
      5.19392739796971*sin(x100 - x103)) + x19*x18*(-6.84098066149567*cos(x102
       - x103) - 21.5785539816916*sin(x102 - x103)) + 9.56801778356026*x19*x19
       - 3.96793905245615*x19*x20*sin(x104 - x103)) + x187 =E= 0;

e20.. -(6.57992340746622*x20*x20 - 3.96793905245615*x20*x19*sin(x103 - x104) + 
      x20*x25*(-1.95502856317726*cos(x109 - x104) - 4.09407434424044*sin(x109
       - x104)) + x20*x26*(-1.52596744045097*cos(x110 - x104) - 3.1759639650294
      *sin(x110 - x104)) + x20*x27*(-3.09892740383799*cos(x111 - x104) - 
      6.10275544819312*sin(x111 - x104))) + x188 =E= 0;

e21.. -(-4.78194338179036*x21*x18*sin(x102 - x105) - 5.67697984672154*x21*x22*
      sin(x106 - x105) - 9.09008271975275*x21*x23*sin(x107 - x105)) + x189
       =E= 0;

e22.. 5.67697984672154*x22*x21*sin(x105 - x106) + x190 =E= 0;

e23.. -(-1.79797907152361*x23*x18*sin(x102 - x107) - 9.09008271975275*x23*x21*
      sin(x105 - x107) + 5.32605503946736*x23*x23 + x23*x24*(-3.90204955244743*
      cos(x108 - x107) - 10.3653941270609*sin(x108 - x107)) + x23*x28*(-
      1.42400548701993*cos(x112 - x107) - 3.0290504569306*sin(x112 - x107)))
       + x191 =E= 0;

e24.. -(x24*x23*(-3.90204955244743*cos(x107 - x108) - 10.3653941270609*sin(x107
       - x108)) + 5.78293430614783*x24*x24 + x24*x25*(-1.8808847537004*cos(x109
       - x108) - 4.40294374946052*sin(x109 - x108))) + x192 =E= 0;

e25.. -(x25*x20*(-1.95502856317726*cos(x104 - x109) - 4.09407434424044*sin(x104
       - x109)) + x25*x24*(-1.8808847537004*cos(x108 - x109) - 4.40294374946052
      *sin(x108 - x109)) + 3.83591331687766*x25*x25) + x193 =E= 0;

e26.. -(x26*x20*(-1.52596744045097*cos(x104 - x110) - 3.1759639650294*sin(x104
       - x110)) + 4.01499202727289*x26*x26 + x26*x27*(-2.48902458682192*cos(
      x111 - x110) - 2.25197462617221*sin(x111 - x110))) + x194 =E= 0;

e27.. -(x27*x20*(-3.09892740383799*cos(x104 - x111) - 6.10275544819312*sin(x104
       - x111)) + x27*x26*(-2.48902458682192*cos(x110 - x111) - 
      2.25197462617221*sin(x110 - x111)) + 6.72494614846623*x27*x27 + x27*x28*(
      -1.13699415780633*cos(x112 - x111) - 2.31496347510535*sin(x112 - x111)))
       + x195 =E= 0;

e28.. -(x28*x23*(-1.42400548701993*cos(x107 - x112) - 3.0290504569306*sin(x107
       - x112)) + x28*x27*(-1.13699415780633*cos(x111 - x112) - 
      2.31496347510535*sin(x111 - x112)) + 2.56099964482626*x28*x28) + x196
       =E= 0;

e29.. -(9.99826320159607*x29*x29 + x29*x30*(-9.99826320159607*cos(x114 - x113)
       - 30.5261730463591*sin(x114 - x113))) + x197 =E= 0;

e30.. -(x30*x29*(-9.99826320159607*cos(x113 - x114) - 30.5261730463591*sin(x113
       - x114)) + 14.5204552116128*x30*x30 + x30*x31*(-1.1350191923074*cos(x115
       - x114) - 4.78186315175772*sin(x115 - x114)) + x30*x32*(-
      1.68603315061494*cos(x116 - x114) - 5.11583832587208*sin(x116 - x114)) + 
      x30*x33*(-1.70113966709441*cos(x117 - x114) - 5.19392739796971*sin(x117
       - x114))) + x198 =E= 0;

e31.. -(x31*x30*(-1.1350191923074*cos(x114 - x115) - 4.78186315175772*sin(x114
       - x115)) + 3.12099490223296*x31*x31 + x31*x32*(-1.98597570992556*cos(
      x116 - x115) - 5.06881697759392*sin(x116 - x115))) + x199 =E= 0;

e32.. -(x32*x30*(-1.68603315061494*cos(x114 - x116) - 5.11583832587208*sin(x114
       - x116)) + x32*x31*(-1.98597570992556*cos(x115 - x116) - 
      5.06881697759392*sin(x115 - x116)) + 10.5129895220362*x32*x32 + x32*x33*(
      -6.84098066149567*cos(x117 - x116) - 21.5785539816916*sin(x117 - x116))
       - 4.78194338179036*x32*x35*sin(x119 - x116) - 1.79797907152361*x32*x37*
      sin(x121 - x116)) + x200 =E= 0;

e33.. -(x33*x30*(-1.70113966709441*cos(x114 - x117) - 5.19392739796971*sin(x114
       - x117)) + x33*x32*(-6.84098066149567*cos(x116 - x117) - 
      21.5785539816916*sin(x116 - x117)) + 8.54212032859007*x33*x33 - 
      3.96793905245615*x33*x34*sin(x118 - x117)) + x201 =E= 0;

e34.. -(6.57992340746622*x34*x34 - 3.96793905245615*x34*x33*sin(x117 - x118) + 
      x34*x39*(-1.95502856317726*cos(x123 - x118) - 4.09407434424044*sin(x123
       - x118)) + x34*x40*(-1.52596744045097*cos(x124 - x118) - 3.1759639650294
      *sin(x124 - x118)) + x34*x41*(-3.09892740383799*cos(x125 - x118) - 
      6.10275544819312*sin(x125 - x118))) + x202 =E= 0;

e35.. -(-4.78194338179036*x35*x32*sin(x116 - x119) - 5.67697984672154*x35*x36*
      sin(x120 - x119) - 9.09008271975275*x35*x37*sin(x121 - x119)) + x203
       =E= 0;

e36.. 5.67697984672154*x36*x35*sin(x119 - x120) + x204 =E= 0;

e37.. -(-1.79797907152361*x37*x32*sin(x116 - x121) - 9.09008271975275*x37*x35*
      sin(x119 - x121) + 5.32605503946736*x37*x37 + x37*x38*(-3.90204955244743*
      cos(x122 - x121) - 10.3653941270609*sin(x122 - x121)) + x37*x42*(-
      1.42400548701993*cos(x126 - x121) - 3.0290504569306*sin(x126 - x121)))
       + x205 =E= 0;

e38.. -(x38*x37*(-3.90204955244743*cos(x121 - x122) - 10.3653941270609*sin(x121
       - x122)) + 5.78293430614783*x38*x38 + x38*x39*(-1.8808847537004*cos(x123
       - x122) - 4.40294374946052*sin(x123 - x122))) + x206 =E= 0;

e39.. -(x39*x34*(-1.95502856317726*cos(x118 - x123) - 4.09407434424044*sin(x118
       - x123)) + x39*x38*(-1.8808847537004*cos(x122 - x123) - 4.40294374946052
      *sin(x122 - x123)) + 3.83591331687766*x39*x39) + x207 =E= 0;

e40.. -(x40*x34*(-1.52596744045097*cos(x118 - x124) - 3.1759639650294*sin(x118
       - x124)) + 4.01499202727289*x40*x40 + x40*x41*(-2.48902458682192*cos(
      x125 - x124) - 2.25197462617221*sin(x125 - x124))) + x208 =E= 0;

e41.. -(x41*x34*(-3.09892740383799*cos(x118 - x125) - 6.10275544819312*sin(x118
       - x125)) + x41*x40*(-2.48902458682192*cos(x124 - x125) - 
      2.25197462617221*sin(x124 - x125)) + 6.72494614846623*x41*x41 + x41*x42*(
      -1.13699415780633*cos(x126 - x125) - 2.31496347510535*sin(x126 - x125)))
       + x209 =E= 0;

e42.. -(x42*x37*(-1.42400548701993*cos(x121 - x126) - 3.0290504569306*sin(x121
       - x126)) + x42*x41*(-1.13699415780633*cos(x125 - x126) - 
      2.31496347510535*sin(x125 - x126)) + 2.56099964482626*x42*x42) + x210
       =E= 0;

e43.. -(11.0241606565663*x43*x43 + x43*x44*(-9.99826320159607*cos(x128 - x127)
       - 30.5261730463591*sin(x128 - x127)) + x43*x47*(-1.02589745497019*cos(
      x131 - x127) - 4.23498368233483*sin(x131 - x127))) + x211 =E= 0;

e44.. -(x44*x43*(-9.99826320159607*cos(x127 - x128) - 30.5261730463591*sin(x127
       - x128)) + 12.8344220609979*x44*x44 + x44*x45*(-1.1350191923074*cos(x129
       - x128) - 4.78186315175772*sin(x129 - x128)) + x44*x47*(-
      1.70113966709441*cos(x131 - x128) - 5.19392739796971*sin(x131 - x128)))
       + x212 =E= 0;

e45.. -(x45*x44*(-1.1350191923074*cos(x128 - x129) - 4.78186315175772*sin(x128
       - x129)) + 3.12099490223296*x45*x45 + x45*x46*(-1.98597570992556*cos(
      x130 - x129) - 5.06881697759392*sin(x130 - x129))) + x213 =E= 0;

e46.. -(x46*x45*(-1.98597570992556*cos(x129 - x130) - 5.06881697759392*sin(x129
       - x130)) + 8.82695637142123*x46*x46 + x46*x47*(-6.84098066149567*cos(
      x131 - x130) - 21.5785539816916*sin(x131 - x130)) - 4.78194338179036*x46*
      x49*sin(x133 - x130) - 1.79797907152361*x46*x51*sin(x135 - x130)) + x214
       =E= 0;

e47.. -(x47*x43*(-1.02589745497019*cos(x127 - x131) - 4.23498368233483*sin(x127
       - x131)) + x47*x44*(-1.70113966709441*cos(x128 - x131) - 
      5.19392739796971*sin(x128 - x131)) + x47*x46*(-6.84098066149567*cos(x130
       - x131) - 21.5785539816916*sin(x130 - x131)) + 9.56801778356026*x47*x47
       - 3.96793905245615*x47*x48*sin(x132 - x131)) + x215 =E= 0;

e48.. -(6.57992340746622*x48*x48 - 3.96793905245615*x48*x47*sin(x131 - x132) + 
      x48*x53*(-1.95502856317726*cos(x137 - x132) - 4.09407434424044*sin(x137
       - x132)) + x48*x54*(-1.52596744045097*cos(x138 - x132) - 3.1759639650294
      *sin(x138 - x132)) + x48*x55*(-3.09892740383799*cos(x139 - x132) - 
      6.10275544819312*sin(x139 - x132))) + x216 =E= 0;

e49.. -(-4.78194338179036*x49*x46*sin(x130 - x133) - 5.67697984672154*x49*x50*
      sin(x134 - x133) - 9.09008271975275*x49*x51*sin(x135 - x133)) + x217
       =E= 0;

e50.. 5.67697984672154*x50*x49*sin(x133 - x134) + x218 =E= 0;

e51.. -(-1.79797907152361*x51*x46*sin(x130 - x135) - 9.09008271975275*x51*x49*
      sin(x133 - x135) + 5.32605503946736*x51*x51 + x51*x52*(-3.90204955244743*
      cos(x136 - x135) - 10.3653941270609*sin(x136 - x135)) + x51*x56*(-
      1.42400548701993*cos(x140 - x135) - 3.0290504569306*sin(x140 - x135)))
       + x219 =E= 0;

e52.. -(x52*x51*(-3.90204955244743*cos(x135 - x136) - 10.3653941270609*sin(x135
       - x136)) + 5.78293430614783*x52*x52 + x52*x53*(-1.8808847537004*cos(x137
       - x136) - 4.40294374946052*sin(x137 - x136))) + x220 =E= 0;

e53.. -(x53*x48*(-1.95502856317726*cos(x132 - x137) - 4.09407434424044*sin(x132
       - x137)) + x53*x52*(-1.8808847537004*cos(x136 - x137) - 4.40294374946052
      *sin(x136 - x137)) + 3.83591331687766*x53*x53) + x221 =E= 0;

e54.. -(x54*x48*(-1.52596744045097*cos(x132 - x138) - 3.1759639650294*sin(x132
       - x138)) + 4.01499202727289*x54*x54 + x54*x55*(-2.48902458682192*cos(
      x139 - x138) - 2.25197462617221*sin(x139 - x138))) + x222 =E= 0;

e55.. -(x55*x48*(-3.09892740383799*cos(x132 - x139) - 6.10275544819312*sin(x132
       - x139)) + x55*x54*(-2.48902458682192*cos(x138 - x139) - 
      2.25197462617221*sin(x138 - x139)) + 6.72494614846623*x55*x55 + x55*x56*(
      -1.13699415780633*cos(x140 - x139) - 2.31496347510535*sin(x140 - x139)))
       + x223 =E= 0;

e56.. -(x56*x51*(-1.42400548701993*cos(x135 - x140) - 3.0290504569306*sin(x135
       - x140)) + x56*x55*(-1.13699415780633*cos(x139 - x140) - 
      2.31496347510535*sin(x139 - x140)) + 2.56099964482626*x56*x56) + x224
       =E= 0;

e57.. -(11.0241606565663*x57*x57 + x57*x58*(-9.99826320159607*cos(x142 - x141)
       - 30.5261730463591*sin(x142 - x141)) + x57*x61*(-1.02589745497019*cos(
      x145 - x141) - 4.23498368233483*sin(x145 - x141))) + x225 =E= 0;

e58.. -(x58*x57*(-9.99826320159607*cos(x141 - x142) - 30.5261730463591*sin(x141
       - x142)) + 14.5204552116128*x58*x58 + x58*x59*(-1.1350191923074*cos(x143
       - x142) - 4.78186315175772*sin(x143 - x142)) + x58*x60*(-
      1.68603315061494*cos(x144 - x142) - 5.11583832587208*sin(x144 - x142)) + 
      x58*x61*(-1.70113966709441*cos(x145 - x142) - 5.19392739796971*sin(x145
       - x142))) + x226 =E= 0;

e59.. -(x59*x58*(-1.1350191923074*cos(x142 - x143) - 4.78186315175772*sin(x142
       - x143)) + 3.12099490223296*x59*x59 + x59*x60*(-1.98597570992556*cos(
      x144 - x143) - 5.06881697759392*sin(x144 - x143))) + x227 =E= 0;

e60.. -(x60*x58*(-1.68603315061494*cos(x142 - x144) - 5.11583832587208*sin(x142
       - x144)) + x60*x59*(-1.98597570992556*cos(x143 - x144) - 
      5.06881697759392*sin(x143 - x144)) + 10.5129895220362*x60*x60 + x60*x61*(
      -6.84098066149567*cos(x145 - x144) - 21.5785539816916*sin(x145 - x144))
       - 4.78194338179036*x60*x63*sin(x147 - x144) - 1.79797907152361*x60*x65*
      sin(x149 - x144)) + x228 =E= 0;

e61.. -(x61*x57*(-1.02589745497019*cos(x141 - x145) - 4.23498368233483*sin(x141
       - x145)) + x61*x58*(-1.70113966709441*cos(x142 - x145) - 
      5.19392739796971*sin(x142 - x145)) + x61*x60*(-6.84098066149567*cos(x144
       - x145) - 21.5785539816916*sin(x144 - x145)) + 9.56801778356026*x61*x61
       - 3.96793905245615*x61*x62*sin(x146 - x145)) + x229 =E= 0;

e62.. -(3.48099600362823*x62*x62 - 3.96793905245615*x62*x61*sin(x145 - x146) + 
      x62*x67*(-1.95502856317726*cos(x151 - x146) - 4.09407434424044*sin(x151
       - x146)) + x62*x68*(-1.52596744045097*cos(x152 - x146) - 3.1759639650294
      *sin(x152 - x146))) + x230 =E= 0;

e63.. -(-4.78194338179036*x63*x60*sin(x144 - x147) - 5.67697984672154*x63*x64*
      sin(x148 - x147) - 9.09008271975275*x63*x65*sin(x149 - x147)) + x231
       =E= 0;

e64.. 5.67697984672154*x64*x63*sin(x147 - x148) + x232 =E= 0;

e65.. -(-1.79797907152361*x65*x60*sin(x144 - x149) - 9.09008271975275*x65*x63*
      sin(x147 - x149) + 5.32605503946736*x65*x65 + x65*x66*(-3.90204955244743*
      cos(x150 - x149) - 10.3653941270609*sin(x150 - x149)) + x65*x70*(-
      1.42400548701993*cos(x154 - x149) - 3.0290504569306*sin(x154 - x149)))
       + x233 =E= 0;

e66.. -(x66*x65*(-3.90204955244743*cos(x149 - x150) - 10.3653941270609*sin(x149
       - x150)) + 5.78293430614783*x66*x66 + x66*x67*(-1.8808847537004*cos(x151
       - x150) - 4.40294374946052*sin(x151 - x150))) + x234 =E= 0;

e67.. -(x67*x62*(-1.95502856317726*cos(x146 - x151) - 4.09407434424044*sin(x146
       - x151)) + x67*x66*(-1.8808847537004*cos(x150 - x151) - 4.40294374946052
      *sin(x150 - x151)) + 3.83591331687766*x67*x67) + x235 =E= 0;

e68.. -(x68*x62*(-1.52596744045097*cos(x146 - x152) - 3.1759639650294*sin(x146
       - x152)) + 4.01499202727289*x68*x68 + x68*x69*(-2.48902458682192*cos(
      x153 - x152) - 2.25197462617221*sin(x153 - x152))) + x236 =E= 0;

e69.. -(x69*x68*(-2.48902458682192*cos(x152 - x153) - 2.25197462617221*sin(x152
       - x153)) + 3.62601874462825*x69*x69 + x69*x70*(-1.13699415780633*cos(
      x154 - x153) - 2.31496347510535*sin(x154 - x153))) + x237 =E= 0;

e70.. -(x70*x65*(-1.42400548701993*cos(x149 - x154) - 3.0290504569306*sin(x149
       - x154)) + x70*x69*(-1.13699415780633*cos(x153 - x154) - 
      2.31496347510535*sin(x153 - x154)) + 2.56099964482626*x70*x70) + x238
       =E= 0;

e71.. -(11.0241606565663*x71*x71 + x71*x72*(-9.99826320159607*cos(x156 - x155)
       - 30.5261730463591*sin(x156 - x155)) + x71*x75*(-1.02589745497019*cos(
      x159 - x155) - 4.23498368233483*sin(x159 - x155))) + x239 =E= 0;

e72.. -(x72*x71*(-9.99826320159607*cos(x155 - x156) - 30.5261730463591*sin(x155
       - x156)) + 14.5204552116128*x72*x72 + x72*x73*(-1.1350191923074*cos(x157
       - x156) - 4.78186315175772*sin(x157 - x156)) + x72*x74*(-
      1.68603315061494*cos(x158 - x156) - 5.11583832587208*sin(x158 - x156)) + 
      x72*x75*(-1.70113966709441*cos(x159 - x156) - 5.19392739796971*sin(x159
       - x156))) + x240 =E= 0;

e73.. -(x73*x72*(-1.1350191923074*cos(x156 - x157) - 4.78186315175772*sin(x156
       - x157)) + 3.12099490223296*x73*x73 + x73*x74*(-1.98597570992556*cos(
      x158 - x157) - 5.06881697759392*sin(x158 - x157))) + x241 =E= 0;

e74.. -(x74*x72*(-1.68603315061494*cos(x156 - x158) - 5.11583832587208*sin(x156
       - x158)) + x74*x73*(-1.98597570992556*cos(x157 - x158) - 
      5.06881697759392*sin(x157 - x158)) + 10.5129895220362*x74*x74 + x74*x75*(
      -6.84098066149567*cos(x159 - x158) - 21.5785539816916*sin(x159 - x158))
       - 4.78194338179036*x74*x77*sin(x161 - x158) - 1.79797907152361*x74*x79*
      sin(x163 - x158)) + x242 =E= 0;

e75.. -(x75*x71*(-1.02589745497019*cos(x155 - x159) - 4.23498368233483*sin(x155
       - x159)) + x75*x72*(-1.70113966709441*cos(x156 - x159) - 
      5.19392739796971*sin(x156 - x159)) + x75*x74*(-6.84098066149567*cos(x158
       - x159) - 21.5785539816916*sin(x158 - x159)) + 9.56801778356026*x75*x75
       - 3.96793905245615*x75*x76*sin(x160 - x159)) + x243 =E= 0;

e76.. -(6.57992340746622*x76*x76 - 3.96793905245615*x76*x75*sin(x159 - x160) + 
      x76*x81*(-1.95502856317726*cos(x165 - x160) - 4.09407434424044*sin(x165
       - x160)) + x76*x82*(-1.52596744045097*cos(x166 - x160) - 3.1759639650294
      *sin(x166 - x160)) + x76*x83*(-3.09892740383799*cos(x167 - x160) - 
      6.10275544819312*sin(x167 - x160))) + x244 =E= 0;

e77.. -(-4.78194338179036*x77*x74*sin(x158 - x161) - 5.67697984672154*x77*x78*
      sin(x162 - x161) - 9.09008271975275*x77*x79*sin(x163 - x161)) + x245
       =E= 0;

e78.. 5.67697984672154*x78*x77*sin(x161 - x162) + x246 =E= 0;

e79.. -(-1.79797907152361*x79*x74*sin(x158 - x163) - 9.09008271975275*x79*x77*
      sin(x161 - x163) + 3.90204955244743*x79*x79 + x79*x80*(-3.90204955244743*
      cos(x164 - x163) - 10.3653941270609*sin(x164 - x163))) + x247 =E= 0;

e80.. -(x80*x79*(-3.90204955244743*cos(x163 - x164) - 10.3653941270609*sin(x163
       - x164)) + 5.78293430614783*x80*x80 + x80*x81*(-1.8808847537004*cos(x165
       - x164) - 4.40294374946052*sin(x165 - x164))) + x248 =E= 0;

e81.. -(x81*x76*(-1.95502856317726*cos(x160 - x165) - 4.09407434424044*sin(x160
       - x165)) + x81*x80*(-1.8808847537004*cos(x164 - x165) - 4.40294374946052
      *sin(x164 - x165)) + 3.83591331687766*x81*x81) + x249 =E= 0;

e82.. -(x82*x76*(-1.52596744045097*cos(x160 - x166) - 3.1759639650294*sin(x160
       - x166)) + 4.01499202727289*x82*x82 + x82*x83*(-2.48902458682192*cos(
      x167 - x166) - 2.25197462617221*sin(x167 - x166))) + x250 =E= 0;

e83.. -(x83*x76*(-3.09892740383799*cos(x160 - x167) - 6.10275544819312*sin(x160
       - x167)) + x83*x82*(-2.48902458682192*cos(x166 - x167) - 
      2.25197462617221*sin(x166 - x167)) + 6.72494614846623*x83*x83 + x83*x84*(
      -1.13699415780633*cos(x168 - x167) - 2.31496347510535*sin(x168 - x167)))
       + x251 =E= 0;

e84.. -(x84*x83*(-1.13699415780633*cos(x167 - x168) - 2.31496347510535*sin(x167
       - x168)) + 1.13699415780633*x84*x84) + x252 =E= 0;

e85.. -(34.6837567286939*x1*x1 + x1*x2*(9.99826320159607*sin(x86 - x85) - 
      30.5261730463591*cos(x86 - x85)) + x1*x5*(1.02589745497019*sin(x89 - x85)
       - 4.23498368233483*cos(x89 - x85))) + x253 + x337 - x351 =E= 0;

e86.. -(x2*x1*(9.99826320159607*sin(x85 - x86) - 30.5261730463591*cos(x85 - x86
      )) + 45.5074019219586*x2*x2 + x2*x3*(1.1350191923074*sin(x87 - x86) - 
      4.78186315175772*cos(x87 - x86)) + x2*x4*(1.68603315061494*sin(x88 - x86)
       - 5.11583832587208*cos(x88 - x86)) + x2*x5*(1.70113966709441*sin(x89 - 
      x86) - 5.19392739796971*cos(x89 - x86))) + x254 + x338 - x352 =E= 0;

e87.. -(x3*x2*(1.1350191923074*sin(x86 - x87) - 4.78186315175772*cos(x86 - x87)
      ) + 9.81148012935164*x3*x3 + x3*x4*(1.98597570992556*sin(x88 - x87) - 
      5.06881697759392*cos(x88 - x87))) + x255 + x339 - x353 =E= 0;

e88.. -(x4*x2*(1.68603315061494*sin(x86 - x88) - 5.11583832587208*cos(x86 - x88
      )) + x4*x3*(1.98597570992556*sin(x87 - x88) - 5.06881697759392*cos(x87 - 
      x88)) + 38.3007317384716*x4*x4 + x4*x5*(6.84098066149567*sin(x89 - x88)
       - 21.5785539816916*cos(x89 - x88)) - 4.78194338179036*x4*x7*cos(x91 - 
      x88) - 1.79797907152361*x4*x9*cos(x93 - x88)) + x256 + x340 - x354 =E= 0;

e89.. -(x5*x1*(1.02589745497019*sin(x85 - x89) - 4.23498368233483*cos(x85 - x89
      )) + x5*x2*(1.70113966709441*sin(x86 - x89) - 5.19392739796971*cos(x86 - 
      x89)) + x5*x4*(6.84098066149567*sin(x88 - x89) - 21.5785539816916*cos(x88
       - x89)) + 34.9274041144523*x5*x5 - 3.96793905245615*x5*x6*cos(x90 - x89)
      ) + x257 + x341 - x355 =E= 0;

e90.. -(17.3407328099191*x6*x6 - 3.96793905245615*x6*x5*cos(x89 - x90) + x6*x11
      *(1.95502856317726*sin(x95 - x90) - 4.09407434424044*cos(x95 - x90)) + x6
      *x12*(1.52596744045097*sin(x96 - x90) - 3.1759639650294*cos(x96 - x90))
       + x6*x13*(3.09892740383799*sin(x97 - x90) - 6.10275544819312*cos(x97 - 
      x90))) + x258 + x342 - x356 =E= 0;

e91.. -(19.5490059482647*x7*x7 - 4.78194338179036*x7*x4*cos(x88 - x91) - 
      5.67697984672154*x7*x8*cos(x92 - x91) - 9.09008271975275*x7*x9*cos(x93 - 
      x91)) + x259 + x343 - x357 =E= 0;

e92.. -(5.67697984672154*x8*x8 - 5.67697984672154*x8*x7*cos(x91 - x92)) + x260
       + x344 - x358 =E= 0;

e93.. -(-1.79797907152361*x9*x4*cos(x88 - x93) - 9.09008271975275*x9*x7*cos(x91
       - x93) + 24.2825063752679*x9*x9 + x9*x10*(3.90204955244743*sin(x94 - x93
      ) - 10.3653941270609*cos(x94 - x93)) + x9*x14*(1.42400548701993*sin(x98
       - x93) - 3.0290504569306*cos(x98 - x93))) + x261 + x345 - x359 =E= 0;

e94.. -(x10*x9*(3.90204955244743*sin(x93 - x94) - 10.3653941270609*cos(x93 - 
      x94)) + 14.7683378765214*x10*x10 + x10*x11*(1.8808847537004*sin(x95 - x94
      ) - 4.40294374946052*cos(x95 - x94))) + x262 + x346 - x360 =E= 0;

e95.. -(x11*x6*(1.95502856317726*sin(x90 - x95) - 4.09407434424044*cos(x90 - 
      x95)) + x11*x10*(1.8808847537004*sin(x94 - x95) - 4.40294374946052*cos(
      x94 - x95)) + 8.49701809370096*x11*x11) + x263 + x347 - x361 =E= 0;

e96.. -(x12*x6*(1.52596744045097*sin(x90 - x96) - 3.1759639650294*cos(x90 - x96
      )) + 5.42793859120161*x12*x12 + x12*x13*(2.48902458682192*sin(x97 - x96)
       - 2.25197462617221*cos(x97 - x96))) + x264 + x348 - x362 =E= 0;

e97.. -(x13*x6*(3.09892740383799*sin(x90 - x97) - 6.10275544819312*cos(x90 - 
      x97)) + x13*x12*(2.48902458682192*sin(x96 - x97) - 2.25197462617221*cos(
      x96 - x97)) + 10.6696935494707*x13*x13 + x13*x14*(1.13699415780633*sin(
      x98 - x97) - 2.31496347510535*cos(x98 - x97))) + x265 + x349 - x363 =E= 0
      ;

e98.. -(x14*x9*(1.42400548701993*sin(x93 - x98) - 3.0290504569306*cos(x93 - x98
      )) + x14*x13*(1.13699415780633*sin(x97 - x98) - 2.31496347510535*cos(x97
       - x98)) + 5.34401393203596*x14*x14) + x266 + x350 - x364 =E= 0;

e99.. -(19.4470702055144*x15*x15 + x15*x16*(4.99913160079804*sin(x100 - x99) - 
      15.2630865231796*cos(x100 - x99)) + x15*x19*(1.02589745497019*sin(x103 - 
      x99) - 4.23498368233483*cos(x103 - x99))) + x267 + x337 - x351 =E= 0;

e100.. -(x16*x15*(4.99913160079804*sin(x99 - x100) - 15.2630865231796*cos(x99
        - x100)) + 30.2707153987791*x16*x16 + x16*x17*(1.1350191923074*sin(x101
        - x100) - 4.78186315175772*cos(x101 - x100)) + x16*x18*(
       1.68603315061494*sin(x102 - x100) - 5.11583832587208*cos(x102 - x100))
        + x16*x19*(1.70113966709441*sin(x103 - x100) - 5.19392739796971*cos(
       x103 - x100))) + x268 + x338 - x352 =E= 0;

e101.. -(x17*x16*(1.1350191923074*sin(x100 - x101) - 4.78186315175772*cos(x100
        - x101)) + 9.81148012935164*x17*x17 + x17*x18*(1.98597570992556*sin(
       x102 - x101) - 5.06881697759392*cos(x102 - x101))) + x269 + x339 - x353
        =E= 0;

e102.. -(x18*x16*(1.68603315061494*sin(x100 - x102) - 5.11583832587208*cos(x100
        - x102)) + x18*x17*(1.98597570992556*sin(x101 - x102) - 
       5.06881697759392*cos(x101 - x102)) + 38.3007317384716*x18*x18 + x18*x19*
       (6.84098066149567*sin(x103 - x102) - 21.5785539816916*cos(x103 - x102))
        - 4.78194338179036*x18*x21*cos(x105 - x102) - 1.79797907152361*x18*x23*
       cos(x107 - x102)) + x270 + x340 - x354 =E= 0;

e103.. -(x19*x15*(1.02589745497019*sin(x99 - x103) - 4.23498368233483*cos(x99
        - x103)) + x19*x16*(1.70113966709441*sin(x100 - x103) - 
       5.19392739796971*cos(x100 - x103)) + x19*x18*(6.84098066149567*sin(x102
        - x103) - 21.5785539816916*cos(x102 - x103)) + 34.9274041144523*x19*x19
        - 3.96793905245615*x19*x20*cos(x104 - x103)) + x271 + x341 - x355 =E= 0
       ;

e104.. -(17.3407328099191*x20*x20 - 3.96793905245615*x20*x19*cos(x103 - x104)
        + x20*x25*(1.95502856317726*sin(x109 - x104) - 4.09407434424044*cos(
       x109 - x104)) + x20*x26*(1.52596744045097*sin(x110 - x104) - 
       3.1759639650294*cos(x110 - x104)) + x20*x27*(3.09892740383799*sin(x111
        - x104) - 6.10275544819312*cos(x111 - x104))) + x272 + x342 - x356
        =E= 0;

e105.. -(19.5490059482647*x21*x21 - 4.78194338179036*x21*x18*cos(x102 - x105)
        - 5.67697984672154*x21*x22*cos(x106 - x105) - 9.09008271975275*x21*x23*
       cos(x107 - x105)) + x273 + x343 - x357 =E= 0;

e106.. -(5.67697984672154*x22*x22 - 5.67697984672154*x22*x21*cos(x105 - x106))
        + x274 + x344 - x358 =E= 0;

e107.. -(-1.79797907152361*x23*x18*cos(x102 - x107) - 9.09008271975275*x23*x21*
       cos(x105 - x107) + 24.2825063752679*x23*x23 + x23*x24*(3.90204955244743*
       sin(x108 - x107) - 10.3653941270609*cos(x108 - x107)) + x23*x28*(
       1.42400548701993*sin(x112 - x107) - 3.0290504569306*cos(x112 - x107)))
        + x275 + x345 - x359 =E= 0;

e108.. -(x24*x23*(3.90204955244743*sin(x107 - x108) - 10.3653941270609*cos(x107
        - x108)) + 14.7683378765214*x24*x24 + x24*x25*(1.8808847537004*sin(x109
        - x108) - 4.40294374946052*cos(x109 - x108))) + x276 + x346 - x360
        =E= 0;

e109.. -(x25*x20*(1.95502856317726*sin(x104 - x109) - 4.09407434424044*cos(x104
        - x109)) + x25*x24*(1.8808847537004*sin(x108 - x109) - 4.40294374946052
       *cos(x108 - x109)) + 8.49701809370096*x25*x25) + x277 + x347 - x361
        =E= 0;

e110.. -(x26*x20*(1.52596744045097*sin(x104 - x110) - 3.1759639650294*cos(x104
        - x110)) + 5.42793859120161*x26*x26 + x26*x27*(2.48902458682192*sin(
       x111 - x110) - 2.25197462617221*cos(x111 - x110))) + x278 + x348 - x362
        =E= 0;

e111.. -(x27*x20*(3.09892740383799*sin(x104 - x111) - 6.10275544819312*cos(x104
        - x111)) + x27*x26*(2.48902458682192*sin(x110 - x111) - 
       2.25197462617221*cos(x110 - x111)) + 10.6696935494707*x27*x27 + x27*x28*
       (1.13699415780633*sin(x112 - x111) - 2.31496347510535*cos(x112 - x111)))
        + x279 + x349 - x363 =E= 0;

e112.. -(x28*x23*(1.42400548701993*sin(x107 - x112) - 3.0290504569306*cos(x107
        - x112)) + x28*x27*(1.13699415780633*sin(x111 - x112) - 
       2.31496347510535*cos(x111 - x112)) + 5.34401393203596*x28*x28) + x280
        + x350 - x364 =E= 0;

e113.. -(30.4733730463591*x29*x29 + x29*x30*(9.99826320159607*sin(x114 - x113)
        - 30.5261730463591*cos(x114 - x113))) + x281 + x337 - x351 =E= 0;

e114.. -(x30*x29*(9.99826320159607*sin(x113 - x114) - 30.5261730463591*cos(x113
        - x114)) + 45.5074019219586*x30*x30 + x30*x31*(1.1350191923074*sin(x115
        - x114) - 4.78186315175772*cos(x115 - x114)) + x30*x32*(
       1.68603315061494*sin(x116 - x114) - 5.11583832587208*cos(x116 - x114))
        + x30*x33*(1.70113966709441*sin(x117 - x114) - 5.19392739796971*cos(
       x117 - x114))) + x282 + x338 - x352 =E= 0;

e115.. -(x31*x30*(1.1350191923074*sin(x114 - x115) - 4.78186315175772*cos(x114
        - x115)) + 9.81148012935164*x31*x31 + x31*x32*(1.98597570992556*sin(
       x116 - x115) - 5.06881697759392*cos(x116 - x115))) + x283 + x339 - x353
        =E= 0;

e116.. -(x32*x30*(1.68603315061494*sin(x114 - x116) - 5.11583832587208*cos(x114
        - x116)) + x32*x31*(1.98597570992556*sin(x115 - x116) - 
       5.06881697759392*cos(x115 - x116)) + 38.3007317384716*x32*x32 + x32*x33*
       (6.84098066149567*sin(x117 - x116) - 21.5785539816916*cos(x117 - x116))
        - 4.78194338179036*x32*x35*cos(x119 - x116) - 1.79797907152361*x32*x37*
       cos(x121 - x116)) + x284 + x340 - x354 =E= 0;

e117.. -(x33*x30*(1.70113966709441*sin(x114 - x117) - 5.19392739796971*cos(x114
        - x117)) + x33*x32*(6.84098066149567*sin(x116 - x117) - 
       21.5785539816916*cos(x116 - x117)) + 30.7170204321175*x33*x33 - 
       3.96793905245615*x33*x34*cos(x118 - x117)) + x285 + x341 - x355 =E= 0;

e118.. -(17.3407328099191*x34*x34 - 3.96793905245615*x34*x33*cos(x117 - x118)
        + x34*x39*(1.95502856317726*sin(x123 - x118) - 4.09407434424044*cos(
       x123 - x118)) + x34*x40*(1.52596744045097*sin(x124 - x118) - 
       3.1759639650294*cos(x124 - x118)) + x34*x41*(3.09892740383799*sin(x125
        - x118) - 6.10275544819312*cos(x125 - x118))) + x286 + x342 - x356
        =E= 0;

e119.. -(19.5490059482647*x35*x35 - 4.78194338179036*x35*x32*cos(x116 - x119)
        - 5.67697984672154*x35*x36*cos(x120 - x119) - 9.09008271975275*x35*x37*
       cos(x121 - x119)) + x287 + x343 - x357 =E= 0;

e120.. -(5.67697984672154*x36*x36 - 5.67697984672154*x36*x35*cos(x119 - x120))
        + x288 + x344 - x358 =E= 0;

e121.. -(-1.79797907152361*x37*x32*cos(x116 - x121) - 9.09008271975275*x37*x35*
       cos(x119 - x121) + 24.2825063752679*x37*x37 + x37*x38*(3.90204955244743*
       sin(x122 - x121) - 10.3653941270609*cos(x122 - x121)) + x37*x42*(
       1.42400548701993*sin(x126 - x121) - 3.0290504569306*cos(x126 - x121)))
        + x289 + x345 - x359 =E= 0;

e122.. -(x38*x37*(3.90204955244743*sin(x121 - x122) - 10.3653941270609*cos(x121
        - x122)) + 14.7683378765214*x38*x38 + x38*x39*(1.8808847537004*sin(x123
        - x122) - 4.40294374946052*cos(x123 - x122))) + x290 + x346 - x360
        =E= 0;

e123.. -(x39*x34*(1.95502856317726*sin(x118 - x123) - 4.09407434424044*cos(x118
        - x123)) + x39*x38*(1.8808847537004*sin(x122 - x123) - 4.40294374946052
       *cos(x122 - x123)) + 8.49701809370096*x39*x39) + x291 + x347 - x361
        =E= 0;

e124.. -(x40*x34*(1.52596744045097*sin(x118 - x124) - 3.1759639650294*cos(x118
        - x124)) + 5.42793859120161*x40*x40 + x40*x41*(2.48902458682192*sin(
       x125 - x124) - 2.25197462617221*cos(x125 - x124))) + x292 + x348 - x362
        =E= 0;

e125.. -(x41*x34*(3.09892740383799*sin(x118 - x125) - 6.10275544819312*cos(x118
        - x125)) + x41*x40*(2.48902458682192*sin(x124 - x125) - 
       2.25197462617221*cos(x124 - x125)) + 10.6696935494707*x41*x41 + x41*x42*
       (1.13699415780633*sin(x126 - x125) - 2.31496347510535*cos(x126 - x125)))
        + x293 + x349 - x363 =E= 0;

e126.. -(x42*x37*(1.42400548701993*sin(x121 - x126) - 3.0290504569306*cos(x121
        - x126)) + x42*x41*(1.13699415780633*sin(x125 - x126) - 
       2.31496347510535*cos(x125 - x126)) + 5.34401393203596*x42*x42) + x294
        + x350 - x364 =E= 0;

e127.. -(34.6837567286939*x43*x43 + x43*x44*(9.99826320159607*sin(x128 - x127)
        - 30.5261730463591*cos(x128 - x127)) + x43*x47*(1.02589745497019*sin(
       x131 - x127) - 4.23498368233483*cos(x131 - x127))) + x295 + x337 - x351
        =E= 0;

e128.. -(x44*x43*(9.99826320159607*sin(x127 - x128) - 30.5261730463591*cos(x127
        - x128)) + 40.4102635960865*x44*x44 + x44*x45*(1.1350191923074*sin(x129
        - x128) - 4.78186315175772*cos(x129 - x128)) + x44*x47*(
       1.70113966709441*sin(x131 - x128) - 5.19392739796971*cos(x131 - x128)))
        + x296 + x338 - x352 =E= 0;

e129.. -(x45*x44*(1.1350191923074*sin(x128 - x129) - 4.78186315175772*cos(x128
        - x129)) + 9.81148012935164*x45*x45 + x45*x46*(1.98597570992556*sin(
       x130 - x129) - 5.06881697759392*cos(x130 - x129))) + x297 + x339 - x353
        =E= 0;

e130.. -(x46*x45*(1.98597570992556*sin(x129 - x130) - 5.06881697759392*cos(x129
        - x130)) + 33.2035934125995*x46*x46 + x46*x47*(6.84098066149567*sin(
       x131 - x130) - 21.5785539816916*cos(x131 - x130)) - 4.78194338179036*x46
       *x49*cos(x133 - x130) - 1.79797907152361*x46*x51*cos(x135 - x130))
        + x298 + x340 - x354 =E= 0;

e131.. -(x47*x43*(1.02589745497019*sin(x127 - x131) - 4.23498368233483*cos(x127
        - x131)) + x47*x44*(1.70113966709441*sin(x128 - x131) - 
       5.19392739796971*cos(x128 - x131)) + x47*x46*(6.84098066149567*sin(x130
        - x131) - 21.5785539816916*cos(x130 - x131)) + 34.9274041144523*x47*x47
        - 3.96793905245615*x47*x48*cos(x132 - x131)) + x299 + x341 - x355 =E= 0
       ;

e132.. -(17.3407328099191*x48*x48 - 3.96793905245615*x48*x47*cos(x131 - x132)
        + x48*x53*(1.95502856317726*sin(x137 - x132) - 4.09407434424044*cos(
       x137 - x132)) + x48*x54*(1.52596744045097*sin(x138 - x132) - 
       3.1759639650294*cos(x138 - x132)) + x48*x55*(3.09892740383799*sin(x139
        - x132) - 6.10275544819312*cos(x139 - x132))) + x300 + x342 - x356
        =E= 0;

e133.. -(19.5490059482647*x49*x49 - 4.78194338179036*x49*x46*cos(x130 - x133)
        - 5.67697984672154*x49*x50*cos(x134 - x133) - 9.09008271975275*x49*x51*
       cos(x135 - x133)) + x301 + x343 - x357 =E= 0;

e134.. -(5.67697984672154*x50*x50 - 5.67697984672154*x50*x49*cos(x133 - x134))
        + x302 + x344 - x358 =E= 0;

e135.. -(-1.79797907152361*x51*x46*cos(x130 - x135) - 9.09008271975275*x51*x49*
       cos(x133 - x135) + 24.2825063752679*x51*x51 + x51*x52*(3.90204955244743*
       sin(x136 - x135) - 10.3653941270609*cos(x136 - x135)) + x51*x56*(
       1.42400548701993*sin(x140 - x135) - 3.0290504569306*cos(x140 - x135)))
        + x303 + x345 - x359 =E= 0;

e136.. -(x52*x51*(3.90204955244743*sin(x135 - x136) - 10.3653941270609*cos(x135
        - x136)) + 14.7683378765214*x52*x52 + x52*x53*(1.8808847537004*sin(x137
        - x136) - 4.40294374946052*cos(x137 - x136))) + x304 + x346 - x360
        =E= 0;

e137.. -(x53*x48*(1.95502856317726*sin(x132 - x137) - 4.09407434424044*cos(x132
        - x137)) + x53*x52*(1.8808847537004*sin(x136 - x137) - 4.40294374946052
       *cos(x136 - x137)) + 8.49701809370096*x53*x53) + x305 + x347 - x361
        =E= 0;

e138.. -(x54*x48*(1.52596744045097*sin(x132 - x138) - 3.1759639650294*cos(x132
        - x138)) + 5.42793859120161*x54*x54 + x54*x55*(2.48902458682192*sin(
       x139 - x138) - 2.25197462617221*cos(x139 - x138))) + x306 + x348 - x362
        =E= 0;

e139.. -(x55*x48*(3.09892740383799*sin(x132 - x139) - 6.10275544819312*cos(x132
        - x139)) + x55*x54*(2.48902458682192*sin(x138 - x139) - 
       2.25197462617221*cos(x138 - x139)) + 10.6696935494707*x55*x55 + x55*x56*
       (1.13699415780633*sin(x140 - x139) - 2.31496347510535*cos(x140 - x139)))
        + x307 + x349 - x363 =E= 0;

e140.. -(x56*x51*(1.42400548701993*sin(x135 - x140) - 3.0290504569306*cos(x135
        - x140)) + x56*x55*(1.13699415780633*sin(x139 - x140) - 
       2.31496347510535*cos(x139 - x140)) + 5.34401393203596*x56*x56) + x308
        + x350 - x364 =E= 0;

e141.. -(34.6837567286939*x57*x57 + x57*x58*(9.99826320159607*sin(x142 - x141)
        - 30.5261730463591*cos(x142 - x141)) + x57*x61*(1.02589745497019*sin(
       x145 - x141) - 4.23498368233483*cos(x145 - x141))) + x309 + x337 - x351
        =E= 0;

e142.. -(x58*x57*(9.99826320159607*sin(x141 - x142) - 30.5261730463591*cos(x141
        - x142)) + 45.5074019219586*x58*x58 + x58*x59*(1.1350191923074*sin(x143
        - x142) - 4.78186315175772*cos(x143 - x142)) + x58*x60*(
       1.68603315061494*sin(x144 - x142) - 5.11583832587208*cos(x144 - x142))
        + x58*x61*(1.70113966709441*sin(x145 - x142) - 5.19392739796971*cos(
       x145 - x142))) + x310 + x338 - x352 =E= 0;

e143.. -(x59*x58*(1.1350191923074*sin(x142 - x143) - 4.78186315175772*cos(x142
        - x143)) + 9.81148012935164*x59*x59 + x59*x60*(1.98597570992556*sin(
       x144 - x143) - 5.06881697759392*cos(x144 - x143))) + x311 + x339 - x353
        =E= 0;

e144.. -(x60*x58*(1.68603315061494*sin(x142 - x144) - 5.11583832587208*cos(x142
        - x144)) + x60*x59*(1.98597570992556*sin(x143 - x144) - 
       5.06881697759392*cos(x143 - x144)) + 38.3007317384716*x60*x60 + x60*x61*
       (6.84098066149567*sin(x145 - x144) - 21.5785539816916*cos(x145 - x144))
        - 4.78194338179036*x60*x63*cos(x147 - x144) - 1.79797907152361*x60*x65*
       cos(x149 - x144)) + x312 + x340 - x354 =E= 0;

e145.. -(x61*x57*(1.02589745497019*sin(x141 - x145) - 4.23498368233483*cos(x141
        - x145)) + x61*x58*(1.70113966709441*sin(x142 - x145) - 
       5.19392739796971*cos(x142 - x145)) + x61*x60*(6.84098066149567*sin(x144
        - x145) - 21.5785539816916*cos(x144 - x145)) + 34.9274041144523*x61*x61
        - 3.96793905245615*x61*x62*cos(x146 - x145)) + x313 + x341 - x355 =E= 0
       ;

e146.. -(11.237977361726*x62*x62 - 3.96793905245615*x62*x61*cos(x145 - x146) + 
       x62*x67*(1.95502856317726*sin(x151 - x146) - 4.09407434424044*cos(x151
        - x146)) + x62*x68*(1.52596744045097*sin(x152 - x146) - 3.1759639650294
       *cos(x152 - x146))) + x314 + x342 - x356 =E= 0;

e147.. -(19.5490059482647*x63*x63 - 4.78194338179036*x63*x60*cos(x144 - x147)
        - 5.67697984672154*x63*x64*cos(x148 - x147) - 9.09008271975275*x63*x65*
       cos(x149 - x147)) + x315 + x343 - x357 =E= 0;

e148.. -(5.67697984672154*x64*x64 - 5.67697984672154*x64*x63*cos(x147 - x148))
        + x316 + x344 - x358 =E= 0;

e149.. -(-1.79797907152361*x65*x60*cos(x144 - x149) - 9.09008271975275*x65*x63*
       cos(x147 - x149) + 24.2825063752679*x65*x65 + x65*x66*(3.90204955244743*
       sin(x150 - x149) - 10.3653941270609*cos(x150 - x149)) + x65*x70*(
       1.42400548701993*sin(x154 - x149) - 3.0290504569306*cos(x154 - x149)))
        + x317 + x345 - x359 =E= 0;

e150.. -(x66*x65*(3.90204955244743*sin(x149 - x150) - 10.3653941270609*cos(x149
        - x150)) + 14.7683378765214*x66*x66 + x66*x67*(1.8808847537004*sin(x151
        - x150) - 4.40294374946052*cos(x151 - x150))) + x318 + x346 - x360
        =E= 0;

e151.. -(x67*x62*(1.95502856317726*sin(x146 - x151) - 4.09407434424044*cos(x146
        - x151)) + x67*x66*(1.8808847537004*sin(x150 - x151) - 4.40294374946052
       *cos(x150 - x151)) + 8.49701809370096*x67*x67) + x319 + x347 - x361
        =E= 0;

e152.. -(x68*x62*(1.52596744045097*sin(x146 - x152) - 3.1759639650294*cos(x146
        - x152)) + 5.42793859120161*x68*x68 + x68*x69*(2.48902458682192*sin(
       x153 - x152) - 2.25197462617221*cos(x153 - x152))) + x320 + x348 - x362
        =E= 0;

e153.. -(x69*x68*(2.48902458682192*sin(x152 - x153) - 2.25197462617221*cos(x152
        - x153)) + 4.56693810127756*x69*x69 + x69*x70*(1.13699415780633*sin(
       x154 - x153) - 2.31496347510535*cos(x154 - x153))) + x321 + x349 - x363
        =E= 0;

e154.. -(x70*x65*(1.42400548701993*sin(x149 - x154) - 3.0290504569306*cos(x149
        - x154)) + x70*x69*(1.13699415780633*sin(x153 - x154) - 
       2.31496347510535*cos(x153 - x154)) + 5.34401393203596*x70*x70) + x322
        + x350 - x364 =E= 0;

e155.. -(34.6837567286939*x71*x71 + x71*x72*(9.99826320159607*sin(x156 - x155)
        - 30.5261730463591*cos(x156 - x155)) + x71*x75*(1.02589745497019*sin(
       x159 - x155) - 4.23498368233483*cos(x159 - x155))) + x323 + x337 - x351
        =E= 0;

e156.. -(x72*x71*(9.99826320159607*sin(x155 - x156) - 30.5261730463591*cos(x155
        - x156)) + 45.5074019219586*x72*x72 + x72*x73*(1.1350191923074*sin(x157
        - x156) - 4.78186315175772*cos(x157 - x156)) + x72*x74*(
       1.68603315061494*sin(x158 - x156) - 5.11583832587208*cos(x158 - x156))
        + x72*x75*(1.70113966709441*sin(x159 - x156) - 5.19392739796971*cos(
       x159 - x156))) + x324 + x338 - x352 =E= 0;

e157.. -(x73*x72*(1.1350191923074*sin(x156 - x157) - 4.78186315175772*cos(x156
        - x157)) + 9.81148012935164*x73*x73 + x73*x74*(1.98597570992556*sin(
       x158 - x157) - 5.06881697759392*cos(x158 - x157))) + x325 + x339 - x353
        =E= 0;

e158.. -(x74*x72*(1.68603315061494*sin(x156 - x158) - 5.11583832587208*cos(x156
        - x158)) + x74*x73*(1.98597570992556*sin(x157 - x158) - 
       5.06881697759392*cos(x157 - x158)) + 38.3007317384716*x74*x74 + x74*x75*
       (6.84098066149567*sin(x159 - x158) - 21.5785539816916*cos(x159 - x158))
        - 4.78194338179036*x74*x77*cos(x161 - x158) - 1.79797907152361*x74*x79*
       cos(x163 - x158)) + x326 + x340 - x354 =E= 0;

e159.. -(x75*x71*(1.02589745497019*sin(x155 - x159) - 4.23498368233483*cos(x155
        - x159)) + x75*x72*(1.70113966709441*sin(x156 - x159) - 
       5.19392739796971*cos(x156 - x159)) + x75*x74*(6.84098066149567*sin(x158
        - x159) - 21.5785539816916*cos(x158 - x159)) + 34.9274041144523*x75*x75
        - 3.96793905245615*x75*x76*cos(x160 - x159)) + x327 + x341 - x355 =E= 0
       ;

e160.. -(17.3407328099191*x76*x76 - 3.96793905245615*x76*x75*cos(x159 - x160)
        + x76*x81*(1.95502856317726*sin(x165 - x160) - 4.09407434424044*cos(
       x165 - x160)) + x76*x82*(1.52596744045097*sin(x166 - x160) - 
       3.1759639650294*cos(x166 - x160)) + x76*x83*(3.09892740383799*sin(x167
        - x160) - 6.10275544819312*cos(x167 - x160))) + x328 + x342 - x356
        =E= 0;

e161.. -(19.5490059482647*x77*x77 - 4.78194338179036*x77*x74*cos(x158 - x161)
        - 5.67697984672154*x77*x78*cos(x162 - x161) - 9.09008271975275*x77*x79*
       cos(x163 - x161)) + x329 + x343 - x357 =E= 0;

e162.. -(5.67697984672154*x78*x78 - 5.67697984672154*x78*x77*cos(x161 - x162))
        + x330 + x344 - x358 =E= 0;

e163.. -(-1.79797907152361*x79*x74*cos(x158 - x163) - 9.09008271975275*x79*x77*
       cos(x161 - x163) + 21.2534559183373*x79*x79 + x79*x80*(3.90204955244743*
       sin(x164 - x163) - 10.3653941270609*cos(x164 - x163))) + x331 + x345
        - x359 =E= 0;

e164.. -(x80*x79*(3.90204955244743*sin(x163 - x164) - 10.3653941270609*cos(x163
        - x164)) + 14.7683378765214*x80*x80 + x80*x81*(1.8808847537004*sin(x165
        - x164) - 4.40294374946052*cos(x165 - x164))) + x332 + x346 - x360
        =E= 0;

e165.. -(x81*x76*(1.95502856317726*sin(x160 - x165) - 4.09407434424044*cos(x160
        - x165)) + x81*x80*(1.8808847537004*sin(x164 - x165) - 4.40294374946052
       *cos(x164 - x165)) + 8.49701809370096*x81*x81) + x333 + x347 - x361
        =E= 0;

e166.. -(x82*x76*(1.52596744045097*sin(x160 - x166) - 3.1759639650294*cos(x160
        - x166)) + 5.42793859120161*x82*x82 + x82*x83*(2.48902458682192*sin(
       x167 - x166) - 2.25197462617221*cos(x167 - x166))) + x334 + x348 - x362
        =E= 0;

e167.. -(x83*x76*(3.09892740383799*sin(x160 - x167) - 6.10275544819312*cos(x160
        - x167)) + x83*x82*(2.48902458682192*sin(x166 - x167) - 
       2.25197462617221*cos(x166 - x167)) + 10.6696935494707*x83*x83 + x83*x84*
       (1.13699415780633*sin(x168 - x167) - 2.31496347510535*cos(x168 - x167)))
        + x335 + x349 - x363 =E= 0;

e168.. -(x84*x83*(1.13699415780633*sin(x167 - x168) - 2.31496347510535*cos(x167
        - x168)) + 2.31496347510535*x84*x84) + x336 + x350 - x364 =E= 0;

e169..    x85 =E= 0;

e170..    x99 =E= 0;

e171..    x113 =E= 0;

e172..    x127 =E= 0;

e173..    x141 =E= 0;

e174..    x155 =E= 0;

e175..  - x169 =G= -5;

e176..  - x170 =G= -0.7;

e177..  - x174 =G= 0;

e178..  - x176 =G= 0;

e179..  - x183 =G= -5;

e180..  - x184 =G= -0.7;

e181..  - x188 =G= 0;

e182..  - x190 =G= 0;

e183..  - x197 =G= -5;

e184..  - x198 =G= -0.7;

e185..  - x202 =G= 0;

e186..  - x204 =G= 0;

e187..  - x211 =G= -5;

e188..  - x212 =G= -0.7;

e189..  - x216 =G= 0;

e190..  - x218 =G= 0;

e191..  - x225 =G= -5;

e192..  - x226 =G= -0.7;

e193..  - x230 =G= 0;

e194..  - x232 =G= 0;

e195..  - x239 =G= -5;

e196..  - x240 =G= -0.7;

e197..  - x244 =G= 0;

e198..  - x246 =G= 0;

e199..    x169 =G= 0;

e200..    x170 =G= 0.3;

e201..    x174 =G= 0;

e202..    x176 =G= 0;

e203..    x183 =G= 0;

e204..    x184 =G= 0.3;

e205..    x188 =G= 0;

e206..    x190 =G= 0;

e207..    x197 =G= 0;

e208..    x198 =G= 0.3;

e209..    x202 =G= 0;

e210..    x204 =G= 0;

e211..    x211 =G= 0;

e212..    x212 =G= 0.3;

e213..    x216 =G= 0;

e214..    x218 =G= 0;

e215..    x225 =G= 0;

e216..    x226 =G= 0.3;

e217..    x230 =G= 0;

e218..    x232 =G= 0;

e219..    x239 =G= 0;

e220..    x240 =G= 0.3;

e221..    x244 =G= 0;

e222..    x246 =G= 0;

e223..  - x253 =G= -3;

e224..  - x254 =G= -0.5;

e225..  - x258 =G= -0.24;

e226..  - x260 =G= -0.24;

e227..  - x267 =G= -3;

e228..  - x268 =G= -0.5;

e229..  - x272 =G= -0.24;

e230..  - x274 =G= -0.24;

e231..  - x281 =G= -3;

e232..  - x282 =G= -0.5;

e233..  - x286 =G= -0.24;

e234..  - x288 =G= -0.24;

e235..  - x295 =G= -3;

e236..  - x296 =G= -0.5;

e237..  - x300 =G= -0.24;

e238..  - x302 =G= -0.24;

e239..  - x309 =G= -3;

e240..  - x310 =G= -0.5;

e241..  - x314 =G= -0.24;

e242..  - x316 =G= -0.24;

e243..  - x323 =G= -3;

e244..  - x324 =G= -0.5;

e245..  - x328 =G= -0.24;

e246..  - x330 =G= -0.24;

e247..    x253 =G= -1;

e248..    x254 =G= -0.4;

e249..    x258 =G= -0.06;

e250..    x260 =G= -0.06;

e251..    x267 =G= -1;

e252..    x268 =G= -0.4;

e253..    x272 =G= -0.06;

e254..    x274 =G= -0.06;

e255..    x281 =G= -1;

e256..    x282 =G= -0.4;

e257..    x286 =G= -0.06;

e258..    x288 =G= -0.06;

e259..    x295 =G= -1;

e260..    x296 =G= -0.4;

e261..    x300 =G= -0.06;

e262..    x302 =G= -0.06;

e263..    x309 =G= -1;

e264..    x310 =G= -0.4;

e265..    x314 =G= -0.06;

e266..    x316 =G= -0.06;

e267..    x323 =G= -1;

e268..    x324 =G= -0.4;

e269..    x328 =G= -0.06;

e270..    x330 =G= -0.06;

e271..  - x367 + 0.266244539346611*x470 =E= 0;

e272..  - x368 + 0.173289768991459*x470 =E= 0;

e273..  - x369 + 0.131954098916527*x470 =E= 0;

e274..  - x371 =E= 0;

e275..  - x373 + 0.0937836278103844*x470 =E= 0;

e276..  - x374 + 0.0832968379137402*x470 =E= 0;

e277..  - x375 + 0.0407086769174398*x470 =E= 0;

e278..  - x376 + 0.10011613323169*x470 =E= 0;

e279..  - x377 + 0.0670623498726457*x470 =E= 0;

e280..  - x378 + 0.0435439669995023*x470 =E= 0;

e281..  - x381 + 0.266244539346611*x471 =E= 0;

e282..  - x382 + 0.173289768991459*x471 =E= 0;

e283..  - x383 + 0.131954098916527*x471 =E= 0;

e284..  - x385 =E= 0;

e285..  - x387 + 0.0937836278103844*x471 =E= 0;

e286..  - x388 + 0.0832968379137402*x471 =E= 0;

e287..  - x389 + 0.0407086769174398*x471 =E= 0;

e288..  - x390 + 0.10011613323169*x471 =E= 0;

e289..  - x391 + 0.0670623498726457*x471 =E= 0;

e290..  - x392 + 0.0435439669995023*x471 =E= 0;

e291..  - x395 + 0.266244539346611*x472 =E= 0;

e292..  - x396 + 0.173289768991459*x472 =E= 0;

e293..  - x397 + 0.131954098916527*x472 =E= 0;

e294..  - x399 =E= 0;

e295..  - x401 + 0.0937836278103844*x472 =E= 0;

e296..  - x402 + 0.0832968379137402*x472 =E= 0;

e297..  - x403 + 0.0407086769174398*x472 =E= 0;

e298..  - x404 + 0.10011613323169*x472 =E= 0;

e299..  - x405 + 0.0670623498726457*x472 =E= 0;

e300..  - x406 + 0.0435439669995023*x472 =E= 0;

e301..  - x409 + 0.266244539346611*x473 =E= 0;

e302..  - x410 + 0.173289768991459*x473 =E= 0;

e303..  - x411 + 0.131954098916527*x473 =E= 0;

e304..  - x413 =E= 0;

e305..  - x415 + 0.0937836278103844*x473 =E= 0;

e306..  - x416 + 0.0832968379137402*x473 =E= 0;

e307..  - x417 + 0.0407086769174398*x473 =E= 0;

e308..  - x418 + 0.10011613323169*x473 =E= 0;

e309..  - x419 + 0.0670623498726457*x473 =E= 0;

e310..  - x420 + 0.0435439669995023*x473 =E= 0;

e311..  - x423 + 0.266244539346611*x474 =E= 0;

e312..  - x424 + 0.173289768991459*x474 =E= 0;

e313..  - x425 + 0.131954098916527*x474 =E= 0;

e314..  - x427 =E= 0;

e315..  - x429 + 0.0937836278103844*x474 =E= 0;

e316..  - x430 + 0.0832968379137402*x474 =E= 0;

e317..  - x431 + 0.0407086769174398*x474 =E= 0;

e318..  - x432 + 0.10011613323169*x474 =E= 0;

e319..  - x433 + 0.0670623498726457*x474 =E= 0;

e320..  - x434 + 0.0435439669995023*x474 =E= 0;

e321..  - x437 + 0.266244539346611*x475 =E= 0;

e322..  - x438 + 0.173289768991459*x475 =E= 0;

e323..  - x439 + 0.131954098916527*x475 =E= 0;

e324..  - x441 =E= 0;

e325..  - x443 + 0.0937836278103844*x475 =E= 0;

e326..  - x444 + 0.0832968379137402*x475 =E= 0;

e327..  - x445 + 0.0407086769174398*x475 =E= 0;

e328..  - x446 + 0.10011613323169*x475 =E= 0;

e329..  - x447 + 0.0670623498726457*x475 =E= 0;

e330..  - x448 + 0.0435439669995023*x475 =E= 0;

e331..    x171 - 4.9578947368421*x255 =E= 0;

e332..    x172 - 2.418410041841*x256 =E= 0;

e333..    x173 - 29.7499999999998*x257 =E= 0;

e334..    x175 =E= 0;

e335..    x177 - 1.77710843373494*x261 =E= 0;

e336..    x178 - 5.08620689655173*x262 =E= 0;

e337..    x179 - 2.32758620689655*x263 =E= 0;

e338..    x180 - 22.5624999999998*x264 =E= 0;

e339..    x181 - 4.05172413793104*x265 =E= 0;

e340..    x182 - 2.98*x266 =E= 0;

e341..    x185 - 4.9578947368421*x269 =E= 0;

e342..    x186 - 2.418410041841*x270 =E= 0;

e343..    x187 - 29.7499999999998*x271 =E= 0;

e344..    x189 =E= 0;

e345..    x191 - 1.77710843373494*x275 =E= 0;

e346..    x192 - 5.08620689655173*x276 =E= 0;

e347..    x193 - 2.32758620689655*x277 =E= 0;

e348..    x194 - 22.5624999999998*x278 =E= 0;

e349..    x195 - 4.05172413793104*x279 =E= 0;

e350..    x196 - 2.98*x280 =E= 0;

e351..    x199 - 4.9578947368421*x283 =E= 0;

e352..    x200 - 2.418410041841*x284 =E= 0;

e353..    x201 - 29.7499999999998*x285 =E= 0;

e354..    x203 =E= 0;

e355..    x205 - 1.77710843373494*x289 =E= 0;

e356..    x206 - 5.08620689655173*x290 =E= 0;

e357..    x207 - 2.32758620689655*x291 =E= 0;

e358..    x208 - 22.5624999999998*x292 =E= 0;

e359..    x209 - 4.05172413793104*x293 =E= 0;

e360..    x210 - 2.98*x294 =E= 0;

e361..    x213 - 4.9578947368421*x297 =E= 0;

e362..    x214 - 2.418410041841*x298 =E= 0;

e363..    x215 - 29.7499999999998*x299 =E= 0;

e364..    x217 =E= 0;

e365..    x219 - 1.77710843373494*x303 =E= 0;

e366..    x220 - 5.08620689655173*x304 =E= 0;

e367..    x221 - 2.32758620689655*x305 =E= 0;

e368..    x222 - 22.5624999999998*x306 =E= 0;

e369..    x223 - 4.05172413793104*x307 =E= 0;

e370..    x224 - 2.98*x308 =E= 0;

e371..    x227 - 4.9578947368421*x311 =E= 0;

e372..    x228 - 2.418410041841*x312 =E= 0;

e373..    x229 - 29.7499999999998*x313 =E= 0;

e374..    x231 =E= 0;

e375..    x233 - 1.77710843373494*x317 =E= 0;

e376..    x234 - 5.08620689655173*x318 =E= 0;

e377..    x235 - 2.32758620689655*x319 =E= 0;

e378..    x236 - 22.5624999999998*x320 =E= 0;

e379..    x237 - 4.05172413793104*x321 =E= 0;

e380..    x238 - 2.98*x322 =E= 0;

e381..    x241 - 4.9578947368421*x325 =E= 0;

e382..    x242 - 2.418410041841*x326 =E= 0;

e383..    x243 - 29.7499999999998*x327 =E= 0;

e384..    x245 =E= 0;

e385..    x247 - 1.77710843373494*x331 =E= 0;

e386..    x248 - 5.08620689655173*x332 =E= 0;

e387..    x249 - 2.32758620689655*x333 =E= 0;

e388..    x250 - 22.5624999999998*x334 =E= 0;

e389..    x251 - 4.05172413793104*x335 =E= 0;

e390..    x252 - 2.98*x336 =E= 0;

e391.. -sqrt(1e-8 + sqr(x169) + sqr(x253)) + x365 =E= -0.0001;

e392.. -sqrt(1e-8 + sqr(x170) + sqr(x254)) + x366 =E= -0.0001;

e393.. -sqrt(1e-8 + sqr(x171) + sqr(x255)) + x367 =E= -0.0001;

e394.. -sqrt(1e-8 + sqr(x172) + sqr(x256)) + x368 =E= -0.0001;

e395.. -sqrt(1e-8 + sqr(x173) + sqr(x257)) + x369 =E= -0.0001;

e396.. -sqrt(1e-8 + sqr(x174) + sqr(x258)) + x370 =E= -0.0001;

e397.. -sqrt(1e-8 + sqr(x175) + sqr(x259)) + x371 =E= -0.0001;

e398.. -sqrt(1e-8 + sqr(x176) + sqr(x260)) + x372 =E= -0.0001;

e399.. -sqrt(1e-8 + sqr(x177) + sqr(x261)) + x373 =E= -0.0001;

e400.. -sqrt(1e-8 + sqr(x178) + sqr(x262)) + x374 =E= -0.0001;

e401.. -sqrt(1e-8 + sqr(x179) + sqr(x263)) + x375 =E= -0.0001;

e402.. -sqrt(1e-8 + sqr(x180) + sqr(x264)) + x376 =E= -0.0001;

e403.. -sqrt(1e-8 + sqr(x181) + sqr(x265)) + x377 =E= -0.0001;

e404.. -sqrt(1e-8 + sqr(x182) + sqr(x266)) + x378 =E= -0.0001;

e405.. -sqrt(1e-8 + sqr(x183) + sqr(x267)) + x379 =E= -0.0001;

e406.. -sqrt(1e-8 + sqr(x184) + sqr(x268)) + x380 =E= -0.0001;

e407.. -sqrt(1e-8 + sqr(x185) + sqr(x269)) + x381 =E= -0.0001;

e408.. -sqrt(1e-8 + sqr(x186) + sqr(x270)) + x382 =E= -0.0001;

e409.. -sqrt(1e-8 + sqr(x187) + sqr(x271)) + x383 =E= -0.0001;

e410.. -sqrt(1e-8 + sqr(x188) + sqr(x272)) + x384 =E= -0.0001;

e411.. -sqrt(1e-8 + sqr(x189) + sqr(x273)) + x385 =E= -0.0001;

e412.. -sqrt(1e-8 + sqr(x190) + sqr(x274)) + x386 =E= -0.0001;

e413.. -sqrt(1e-8 + sqr(x191) + sqr(x275)) + x387 =E= -0.0001;

e414.. -sqrt(1e-8 + sqr(x192) + sqr(x276)) + x388 =E= -0.0001;

e415.. -sqrt(1e-8 + sqr(x193) + sqr(x277)) + x389 =E= -0.0001;

e416.. -sqrt(1e-8 + sqr(x194) + sqr(x278)) + x390 =E= -0.0001;

e417.. -sqrt(1e-8 + sqr(x195) + sqr(x279)) + x391 =E= -0.0001;

e418.. -sqrt(1e-8 + sqr(x196) + sqr(x280)) + x392 =E= -0.0001;

e419.. -sqrt(1e-8 + sqr(x197) + sqr(x281)) + x393 =E= -0.0001;

e420.. -sqrt(1e-8 + sqr(x198) + sqr(x282)) + x394 =E= -0.0001;

e421.. -sqrt(1e-8 + sqr(x199) + sqr(x283)) + x395 =E= -0.0001;

e422.. -sqrt(1e-8 + sqr(x200) + sqr(x284)) + x396 =E= -0.0001;

e423.. -sqrt(1e-8 + sqr(x201) + sqr(x285)) + x397 =E= -0.0001;

e424.. -sqrt(1e-8 + sqr(x202) + sqr(x286)) + x398 =E= -0.0001;

e425.. -sqrt(1e-8 + sqr(x203) + sqr(x287)) + x399 =E= -0.0001;

e426.. -sqrt(1e-8 + sqr(x204) + sqr(x288)) + x400 =E= -0.0001;

e427.. -sqrt(1e-8 + sqr(x205) + sqr(x289)) + x401 =E= -0.0001;

e428.. -sqrt(1e-8 + sqr(x206) + sqr(x290)) + x402 =E= -0.0001;

e429.. -sqrt(1e-8 + sqr(x207) + sqr(x291)) + x403 =E= -0.0001;

e430.. -sqrt(1e-8 + sqr(x208) + sqr(x292)) + x404 =E= -0.0001;

e431.. -sqrt(1e-8 + sqr(x209) + sqr(x293)) + x405 =E= -0.0001;

e432.. -sqrt(1e-8 + sqr(x210) + sqr(x294)) + x406 =E= -0.0001;

e433.. -sqrt(1e-8 + sqr(x211) + sqr(x295)) + x407 =E= -0.0001;

e434.. -sqrt(1e-8 + sqr(x212) + sqr(x296)) + x408 =E= -0.0001;

e435.. -sqrt(1e-8 + sqr(x213) + sqr(x297)) + x409 =E= -0.0001;

e436.. -sqrt(1e-8 + sqr(x214) + sqr(x298)) + x410 =E= -0.0001;

e437.. -sqrt(1e-8 + sqr(x215) + sqr(x299)) + x411 =E= -0.0001;

e438.. -sqrt(1e-8 + sqr(x216) + sqr(x300)) + x412 =E= -0.0001;

e439.. -sqrt(1e-8 + sqr(x217) + sqr(x301)) + x413 =E= -0.0001;

e440.. -sqrt(1e-8 + sqr(x218) + sqr(x302)) + x414 =E= -0.0001;

e441.. -sqrt(1e-8 + sqr(x219) + sqr(x303)) + x415 =E= -0.0001;

e442.. -sqrt(1e-8 + sqr(x220) + sqr(x304)) + x416 =E= -0.0001;

e443.. -sqrt(1e-8 + sqr(x221) + sqr(x305)) + x417 =E= -0.0001;

e444.. -sqrt(1e-8 + sqr(x222) + sqr(x306)) + x418 =E= -0.0001;

e445.. -sqrt(1e-8 + sqr(x223) + sqr(x307)) + x419 =E= -0.0001;

e446.. -sqrt(1e-8 + sqr(x224) + sqr(x308)) + x420 =E= -0.0001;

e447.. -sqrt(1e-8 + sqr(x225) + sqr(x309)) + x421 =E= -0.0001;

e448.. -sqrt(1e-8 + sqr(x226) + sqr(x310)) + x422 =E= -0.0001;

e449.. -sqrt(1e-8 + sqr(x227) + sqr(x311)) + x423 =E= -0.0001;

e450.. -sqrt(1e-8 + sqr(x228) + sqr(x312)) + x424 =E= -0.0001;

e451.. -sqrt(1e-8 + sqr(x229) + sqr(x313)) + x425 =E= -0.0001;

e452.. -sqrt(1e-8 + sqr(x230) + sqr(x314)) + x426 =E= -0.0001;

e453.. -sqrt(1e-8 + sqr(x231) + sqr(x315)) + x427 =E= -0.0001;

e454.. -sqrt(1e-8 + sqr(x232) + sqr(x316)) + x428 =E= -0.0001;

e455.. -sqrt(1e-8 + sqr(x233) + sqr(x317)) + x429 =E= -0.0001;

e456.. -sqrt(1e-8 + sqr(x234) + sqr(x318)) + x430 =E= -0.0001;

e457.. -sqrt(1e-8 + sqr(x235) + sqr(x319)) + x431 =E= -0.0001;

e458.. -sqrt(1e-8 + sqr(x236) + sqr(x320)) + x432 =E= -0.0001;

e459.. -sqrt(1e-8 + sqr(x237) + sqr(x321)) + x433 =E= -0.0001;

e460.. -sqrt(1e-8 + sqr(x238) + sqr(x322)) + x434 =E= -0.0001;

e461.. -sqrt(1e-8 + sqr(x239) + sqr(x323)) + x435 =E= -0.0001;

e462.. -sqrt(1e-8 + sqr(x240) + sqr(x324)) + x436 =E= -0.0001;

e463.. -sqrt(1e-8 + sqr(x241) + sqr(x325)) + x437 =E= -0.0001;

e464.. -sqrt(1e-8 + sqr(x242) + sqr(x326)) + x438 =E= -0.0001;

e465.. -sqrt(1e-8 + sqr(x243) + sqr(x327)) + x439 =E= -0.0001;

e466.. -sqrt(1e-8 + sqr(x244) + sqr(x328)) + x440 =E= -0.0001;

e467.. -sqrt(1e-8 + sqr(x245) + sqr(x329)) + x441 =E= -0.0001;

e468.. -sqrt(1e-8 + sqr(x246) + sqr(x330)) + x442 =E= -0.0001;

e469.. -sqrt(1e-8 + sqr(x247) + sqr(x331)) + x443 =E= -0.0001;

e470.. -sqrt(1e-8 + sqr(x248) + sqr(x332)) + x444 =E= -0.0001;

e471.. -sqrt(1e-8 + sqr(x249) + sqr(x333)) + x445 =E= -0.0001;

e472.. -sqrt(1e-8 + sqr(x250) + sqr(x334)) + x446 =E= -0.0001;

e473.. -sqrt(1e-8 + sqr(x251) + sqr(x335)) + x447 =E= -0.0001;

e474.. -sqrt(1e-8 + sqr(x252) + sqr(x336)) + x448 =E= -0.0001;

e475..  - x367 - x368 - x369 - x371 - x373 - x374 - x375 - x376 - x377 - x378
        + x470 =E= 0;

e476..  - x381 - x382 - x383 - x385 - x387 - x388 - x389 - x390 - x391 - x392
        + x471 =E= 0;

e477..  - x395 - x396 - x397 - x399 - x401 - x402 - x403 - x404 - x405 - x406
        + x472 =E= 0;

e478..  - x409 - x410 - x411 - x413 - x415 - x416 - x417 - x418 - x419 - x420
        + x473 =E= 0;

e479..  - x423 - x424 - x425 - x427 - x429 - x430 - x431 - x432 - x433 - x434
        + x474 =E= 0;

e480..  - x437 - x438 - x439 - x441 - x443 - x444 - x445 - x446 - x447 - x448
        + x475 =E= 0;

e481..  - x470 + x476 =L= 0;

e482..  - x471 + x476 =L= 0;

e483..  - x472 + x476 =L= 0;

e484..  - x473 + x476 =L= 0;

e485..  - x474 + x476 =L= 0;

e486..  - x475 + x476 =L= 0;

e487..  - 100*x339 - 100*x340 - 100*x341 - 100*x343 - 100*x345 - 100*x346
        - 100*x347 - 100*x348 - 100*x349 - 100*x350 - 100*x353 - 100*x354
        - 100*x355 - 100*x357 - 100*x359 - 100*x360 - 100*x361 - 100*x362
        - 100*x363 - 100*x364 + objvar - 10*b450 - 10*b451 - 10*b452 - 10*b453
        - 10*b454 - 10*b455 - 10*b456 - 10*b457 - 10*b458 - 10*b459 - 10*b460
        - 10*b461 - 10*b462 - 10*b463 - 10*b464 - 10*b465 - 10*b466 - 10*b467
        - 10*b468 - 10*b469 =E= 0;

e488..    x339 - 0.75*b450 =L= 0;

e489..    x340 - 0.75*b451 =L= 0;

e490..    x341 - 0.75*b452 =L= 0;

e491..    x343 - 0.75*b453 =L= 0;

e492..    x345 - 0.75*b454 =L= 0;

e493..    x346 - 0.75*b455 =L= 0;

e494..    x347 - 0.75*b456 =L= 0;

e495..    x348 - 0.75*b457 =L= 0;

e496..    x349 - 0.75*b458 =L= 0;

e497..    x350 - 0.75*b459 =L= 0;

e498..    x353 - 0.75*b460 =L= 0;

e499..    x354 - 0.75*b461 =L= 0;

e500..    x355 - 0.75*b462 =L= 0;

e501..    x357 - 0.75*b463 =L= 0;

e502..    x359 - 0.75*b464 =L= 0;

e503..    x360 - 0.75*b465 =L= 0;

e504..    x361 - 0.75*b466 =L= 0;

e505..    x362 - 0.75*b467 =L= 0;

e506..    x363 - 0.75*b468 =L= 0;

e507..    x364 - 0.75*b469 =L= 0;

e508..    0.85*x476 =G= 3.60935230932057;

* set non-default bounds
x1.fx = 1.06;
x2.lo = 0.95; x2.up = 1.05;
x3.lo = 0.95; x3.up = 1.05;
x4.lo = 0.95; x4.up = 1.05;
x5.lo = 0.95; x5.up = 1.05;
x6.lo = 0.95; x6.up = 1.05;
x7.lo = 0.95; x7.up = 1.05;
x8.lo = 0.95; x8.up = 1.05;
x9.lo = 0.95; x9.up = 1.05;
x10.lo = 0.95; x10.up = 1.05;
x11.lo = 0.95; x11.up = 1.05;
x12.lo = 0.95; x12.up = 1.05;
x13.lo = 0.95; x13.up = 1.05;
x14.lo = 0.95; x14.up = 1.05;
x15.fx = 1.06;
x16.lo = 0.95; x16.up = 1.05;
x17.lo = 0.95; x17.up = 1.05;
x18.lo = 0.95; x18.up = 1.05;
x19.lo = 0.95; x19.up = 1.05;
x20.lo = 0.95; x20.up = 1.05;
x21.lo = 0.95; x21.up = 1.05;
x22.lo = 0.95; x22.up = 1.05;
x23.lo = 0.95; x23.up = 1.05;
x24.lo = 0.95; x24.up = 1.05;
x25.lo = 0.95; x25.up = 1.05;
x26.lo = 0.95; x26.up = 1.05;
x27.lo = 0.95; x27.up = 1.05;
x28.lo = 0.95; x28.up = 1.05;
x29.fx = 1.06;
x30.lo = 0.95; x30.up = 1.05;
x31.lo = 0.95; x31.up = 1.05;
x32.lo = 0.95; x32.up = 1.05;
x33.lo = 0.95; x33.up = 1.05;
x34.lo = 0.95; x34.up = 1.05;
x35.lo = 0.95; x35.up = 1.05;
x36.lo = 0.95; x36.up = 1.05;
x37.lo = 0.95; x37.up = 1.05;
x38.lo = 0.95; x38.up = 1.05;
x39.lo = 0.95; x39.up = 1.05;
x40.lo = 0.95; x40.up = 1.05;
x41.lo = 0.95; x41.up = 1.05;
x42.lo = 0.95; x42.up = 1.05;
x43.fx = 1.06;
x44.lo = 0.95; x44.up = 1.05;
x45.lo = 0.95; x45.up = 1.05;
x46.lo = 0.95; x46.up = 1.05;
x47.lo = 0.95; x47.up = 1.05;
x48.lo = 0.95; x48.up = 1.05;
x49.lo = 0.95; x49.up = 1.05;
x50.lo = 0.95; x50.up = 1.05;
x51.lo = 0.95; x51.up = 1.05;
x52.lo = 0.95; x52.up = 1.05;
x53.lo = 0.95; x53.up = 1.05;
x54.lo = 0.95; x54.up = 1.05;
x55.lo = 0.95; x55.up = 1.05;
x56.lo = 0.95; x56.up = 1.05;
x57.fx = 1.06;
x58.lo = 0.95; x58.up = 1.05;
x59.lo = 0.95; x59.up = 1.05;
x60.lo = 0.95; x60.up = 1.05;
x61.lo = 0.95; x61.up = 1.05;
x62.lo = 0.95; x62.up = 1.05;
x63.lo = 0.95; x63.up = 1.05;
x64.lo = 0.95; x64.up = 1.05;
x65.lo = 0.95; x65.up = 1.05;
x66.lo = 0.95; x66.up = 1.05;
x67.lo = 0.95; x67.up = 1.05;
x68.lo = 0.95; x68.up = 1.05;
x69.lo = 0.95; x69.up = 1.05;
x70.lo = 0.95; x70.up = 1.05;
x71.fx = 1.06;
x72.lo = 0.95; x72.up = 1.05;
x73.lo = 0.95; x73.up = 1.05;
x74.lo = 0.95; x74.up = 1.05;
x75.lo = 0.95; x75.up = 1.05;
x76.lo = 0.95; x76.up = 1.05;
x77.lo = 0.95; x77.up = 1.05;
x78.lo = 0.95; x78.up = 1.05;
x79.lo = 0.95; x79.up = 1.05;
x80.lo = 0.95; x80.up = 1.05;
x81.lo = 0.95; x81.up = 1.05;
x82.lo = 0.95; x82.up = 1.05;
x83.lo = 0.95; x83.up = 1.05;
x84.lo = 0.95; x84.up = 1.05;
x337.fx = 0;
x338.fx = 0;
x342.fx = 0;
x344.fx = 0;
x351.fx = 0;
x352.fx = 0;
x356.fx = 0;
x358.fx = 0;

* set non-default levels
x2.l = 1.036605;
x3.l = 0.967758;
x4.l = 0.979347;
x5.l = 0.986086;
x6.l = 1.014063;
x7.l = 1.009737;
x9.l = 1.006778;
x10.l = 0.995889;
x11.l = 0.996847;
x12.l = 0.971053;
x13.l = 0.99092;
x14.l = 0.986834;
x16.l = 1.015027;
x18.l = 0.963902;
x19.l = 0.970898;
x20.l = 1.001034;
x21.l = 0.996002;
x22.l = 1.036778;
x23.l = 0.993505;
x24.l = 0.982947;
x25.l = 0.984067;
x26.l = 0.958786;
x27.l = 0.97837;
x28.l = 0.974265;
x30.l = 1.024847;
x34.l = 0.988717;
x35.l = 0.986004;
x36.l = 1.027162;
x37.l = 0.985277;
x38.l = 0.975271;
x39.l = 0.975156;
x41.l = 0.968879;
x42.l = 0.966784;
x44.l = 1.03988;
x45.l = 0.959106;
x46.l = 0.955132;
x47.l = 0.964938;
x48.l = 0.988408;
x49.l = 0.989128;
x50.l = 1.030166;
x51.l = 0.986453;
x52.l = 0.976034;
x53.l = 0.975047;
x55.l = 0.968578;
x56.l = 0.967535;
x58.l = 1.040545;
x59.l = 0.984004;
x60.l = 0.993806;
x61.l = 1.001381;
x62.l = 1.034943;
x63.l = 1.017379;
x65.l = 1.015387;
x66.l = 1.008229;
x67.l = 1.01419;
x68.l = 0.973746;
x70.l = 0.974049;
x72.l = 1.031224;
x73.l = 0.975677;
x74.l = 0.987197;
x75.l = 0.99069;
x76.l = 1.007545;
x77.l = 1.017538;
x79.l = 1.017359;
x80.l = 1.005468;
x81.l = 1.000309;
x82.l = 0.966208;
x83.l = 0.977665;
x169.l = 4.295512;
x170.l = 0.3;
x171.l = -1.144414;
x172.l = -0.702199;
x173.l = -0.578281;
x177.l = -0.358389;
x178.l = -0.358389;
x179.l = -0.164008;
x180.l = -0.438571;
x181.l = -0.285496;
x182.l = -0.181017;
x183.l = 4.258266;
x184.l = 0.3;
x185.l = -1.118099;
x186.l = -0.686052;
x187.l = -0.564984;
x191.l = -0.350148;
x192.l = -0.350148;
x193.l = -0.160237;
x194.l = -0.428486;
x195.l = -0.278931;
x196.l = -0.176854;
x197.l = 3.614092;
x198.l = 0.7;
x199.l = -1.046667;
x200.l = -0.642222;
x201.l = -0.528889;
x205.l = -0.327778;
x206.l = -0.327778;
x207.l = -0.15;
x208.l = -0.401111;
x209.l = -0.261111;
x210.l = -0.165556;
x211.l = 3.960316;
x212.l = 0.3;
x213.l = -1.046667;
x214.l = -0.642222;
x215.l = -0.528889;
x219.l = -0.327778;
x220.l = -0.327778;
x221.l = -0.15;
x222.l = -0.401111;
x223.l = -0.261111;
x224.l = -0.165556;
x225.l = 3.627272;
x226.l = 0.560943;
x227.l = -1.046667;
x228.l = -0.642222;
x229.l = -0.528889;
x233.l = -0.327778;
x234.l = -0.327778;
x235.l = -0.15;
x236.l = -0.401111;
x237.l = -0.261111;
x238.l = -0.165556;
x239.l = 3.882269;
x240.l = 0.3;
x241.l = -1.046667;
x242.l = -0.642222;
x243.l = -0.528889;
x247.l = -0.327778;
x248.l = -0.327778;
x249.l = -0.15;
x250.l = -0.401111;
x251.l = -0.261111;
x252.l = -0.165556;
x253.l = 0.078084;
x254.l = 0.5;
x255.l = -0.230827;
x256.l = -0.290356;
x257.l = -0.019438;
x258.l = 0.24;
x260.l = 0.24;
x261.l = -0.20167;
x262.l = -0.070463;
x263.l = -0.070463;
x264.l = -0.019438;
x265.l = -0.070463;
x266.l = -0.060744;
x267.l = 0.326997;
x268.l = 0.5;
x269.l = -0.225519;
x270.l = -0.283679;
x271.l = -0.018991;
x272.l = 0.24;
x274.l = 0.24;
x275.l = -0.197032;
x276.l = -0.068843;
x277.l = -0.068843;
x278.l = -0.018991;
x279.l = -0.068843;
x280.l = -0.059347;
x281.l = 0.186841;
x282.l = 0.5;
x283.l = -0.211111;
x284.l = -0.265556;
x285.l = -0.017778;
x286.l = 0.24;
x288.l = 0.24;
x289.l = -0.184444;
x290.l = -0.064444;
x291.l = -0.064444;
x292.l = -0.017778;
x293.l = -0.064444;
x294.l = -0.055556;
x295.l = 0.210194;
x296.l = 0.5;
x297.l = -0.211111;
x298.l = -0.265556;
x299.l = -0.017778;
x300.l = 0.161438;
x302.l = 0.24;
x303.l = -0.184444;
x304.l = -0.064444;
x305.l = -0.064444;
x306.l = -0.017778;
x307.l = -0.064444;
x308.l = -0.055556;
x309.l = 0.001121;
x310.l = 0.265153;
x311.l = -0.211111;
x312.l = -0.265556;
x313.l = -0.017778;
x314.l = 0.24;
x316.l = 0.19445;
x317.l = -0.184444;
x318.l = -0.064444;
x319.l = -0.064444;
x320.l = -0.017778;
x321.l = -0.064444;
x322.l = -0.055556;
x323.l = 0.32103;
x324.l = 0.019577;
x325.l = -0.211111;
x326.l = -0.265556;
x327.l = -0.017778;
x328.l = 0.186972;
x330.l = 0.193498;
x331.l = -0.184444;
x332.l = -0.064444;
x333.l = -0.064444;
x334.l = -0.017778;
x335.l = -0.064444;
x336.l = -0.055556;

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: 2018-09-14 Git hash: ac5a5314
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