MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance transswitch0039r
Optimal Transmission Switching problem modeled using quadratic functions (rectangular coordinates)
| Formatsⓘ | ams gms mod nl osil pip py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 27028.62337000 (ANTIGONE) 565.14000430 (BARON) 1229.75107200 (COUENNE) 77.98501768 (GUROBI) 26939.54817000 (LINDO) 27081.57285000 (SCIP) 2.00000003 (SHOT) 62.22118142 (XPRESS) |
| Referencesⓘ | Hijazi, H L, Coffrin, C, and Van Hentenryck, P, Convex Quadratic Relaxations of Nonlinear Programs in Power Systems, Tech. Rep. 2013-09, Optimization Online, 2013. |
| Applicationⓘ | Electricity Networks |
| Added to libraryⓘ | 14 Mar 2014 |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 328 |
| #Binary Variablesⓘ | 46 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 318 |
| #Nonlinear Binary Variablesⓘ | 46 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | quadratic |
| Objective curvatureⓘ | convex |
| #Nonzeros in Objectiveⓘ | 10 |
| #Nonlinear Nonzeros in Objectiveⓘ | 10 |
| #Constraintsⓘ | 473 |
| #Linear Constraintsⓘ | 119 |
| #Quadratic Constraintsⓘ | 170 |
| #Polynomial Constraintsⓘ | 184 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 1689 |
| #Nonlinear Nonzeros in Jacobianⓘ | 1260 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 1008 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 272 |
| #Blocks in Hessian of Lagrangianⓘ | 195 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 1 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 124 |
| Average blocksize in Hessian of Lagrangianⓘ | 1.630769 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 6.7559e-01 |
| Maximal coefficientⓘ | 3.8235e+02 |
| Infeasibility of initial pointⓘ | 11.04 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 474 264 59 151 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 329 283 46 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 1700 430 1270 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,b263,b264,b265,b266,b267,b268,b269,b270,b271,b272
,b273,b274,b275,b276,b277,b278,b279,b280,b281,b282,b283,b284,b285
,b286,b287,b288,b289,b290,b291,b292,b293,b294,b295,b296,b297,b298
,b299,b300,b301,b302,b303,b304,b305,b306,b307,b308,x309,x310,x311
,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323,x324
,x325,x326,x327,x328,objvar;
Binary Variables b263,b264,b265,b266,b267,b268,b269,b270,b271,b272,b273,b274
,b275,b276,b277,b278,b279,b280,b281,b282,b283,b284,b285,b286,b287
,b288,b289,b290,b291,b292,b293,b294,b295,b296,b297,b298,b299,b300
,b301,b302,b303,b304,b305,b306,b307,b308;
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;
e1.. 100*sqr(x309) + 30*x309 + 100*sqr(x310) + 30*x310 + 100*sqr(x311) + 30*
x311 + 100*sqr(x312) + 30*x312 + 100*sqr(x313) + 30*x313 + 100*sqr(x314)
+ 30*x314 + 100*sqr(x315) + 30*x315 + 100*sqr(x316) + 30*x316 + 100*sqr(
x317) + 30*x317 + 100*sqr(x318) + 30*x318 - objvar =E= -2;
e2.. -(0.844411840765037*(sqr(x196) + sqr(x235)) - 0.844411840765037*(x196*x197
+ x235*x236) + 22.9574469207994*(x196*x236 - x197*x235))*b263 + x1 =E= 0;
e3.. -(0.844411840765037*(sqr(x197) + sqr(x236)) - 0.844411840765037*(x197*x196
+ x236*x235) + 22.9574469207994*(x197*x235 - x196*x236))*b263 + x2 =E= 0;
e4.. -(6.34517766497462*(sqr(x189) + sqr(x228)) - 6.34517766497462*(x189*x192
+ x228*x231) + 88.8324873096447*(x189*x231 - x192*x228))*b264 + x3 =E= 0;
e5.. -(6.34517766497462*(sqr(x192) + sqr(x231)) - 6.34517766497462*(x192*x189
+ x231*x228) + 88.8324873096447*(x192*x228 - x189*x231))*b264 + x4 =E= 0;
e6.. -(8.78293601003764*(sqr(x200) + sqr(x239)) - 8.78293601003764*(x200*x201
+ x239*x240) + 111.668757841907*(x200*x240 - x201*x239))*b265 + x5 =E= 0;
e7.. -(8.78293601003764*(sqr(x201) + sqr(x240)) - 8.78293601003764*(x201*x200
+ x240*x239) + 111.668757841907*(x201*x239 - x200*x240))*b265 + x6 =E= 0;
e8.. -40*(x190*x254 - x215*x229)*b266 + x7 =E= 0;
e9.. -40*(x215*x229 - x190*x254)*b266 + x8 =E= 0;
e10.. -(7.05882352941176*(sqr(x190) + sqr(x229)) - 7.05882352941176*(x190*x191
+ x229*x230) + 108.235294117647*(x190*x230 - x191*x229))*b267 + x9 =E= 0
;
e11.. -(7.05882352941176*(sqr(x191) + sqr(x230)) - 7.05882352941176*(x191*x190
+ x230*x229) + 108.235294117647*(x191*x229 - x190*x230))*b267 + x10
=E= 0;
e12.. -(1.59744408945687*(sqr(x185) + sqr(x224)) - 1.59744408945687*(x185*x223
+ x224*x262) + 39.9361022364217*(x185*x262 - x223*x224))*b268 + x11
=E= 0;
e13.. -(1.59744408945687*(sqr(x223) + sqr(x262)) - 1.59744408945687*(x223*x185
+ x262*x224) + 39.9361022364217*(x223*x224 - x185*x262))*b268 + x12
=E= 0;
e14.. -(6.42054574638844*(sqr(x210) + sqr(x249)) - 6.42054574638844*(x210*x211
+ x249*x250) + 67.4157303370787*(x210*x250 - x211*x249))*b269 + x13
=E= 0;
e15.. -(6.42054574638844*(sqr(x211) + sqr(x250)) - 6.42054574638844*(x211*x210
+ x250*x249) + 67.4157303370787*(x211*x249 - x210*x250))*b269 + x14
=E= 0;
e16.. -50*(x194*x255 - x216*x233)*b270 + x15 =E= 0;
e17.. -50*(x216*x233 - x194*x255)*b270 + x16 =E= 0;
e18.. -(2.0570568805614*(sqr(x185) + sqr(x224)) - 2.0570568805614*(x185*x186 +
x224*x225) + 24.1557250831639*(x185*x225 - x186*x224))*b271 + x17 =E= 0;
e19.. -(2.0570568805614*(sqr(x186) + sqr(x225)) - 2.0570568805614*(x186*x185 +
x225*x224) + 24.1557250831639*(x186*x224 - x185*x225))*b271 + x18 =E= 0;
e20.. -(2.85475866309456*(sqr(x187) + sqr(x226)) - 2.85475866309456*(x187*x188
+ x226*x227) + 46.7741227107032*(x187*x227 - x188*x226))*b272 + x19
=E= 0;
e21.. -(2.85475866309456*(sqr(x188) + sqr(x227)) - 2.85475866309456*(x188*x187
+ x227*x226) + 46.7741227107032*(x188*x226 - x187*x227))*b272 + x20
=E= 0;
e22.. -69.9300699300699*(x206*x258 - x219*x245)*b273 + x21 =E= 0;
e23.. -69.9300699300699*(x219*x245 - x206*x258)*b273 + x22 =E= 0;
e24.. -(5.65955594253374*(sqr(x186) + sqr(x225)) - 5.65955594253374*(x186*x187
+ x225*x226) + 65.737919024815*(x186*x226 - x187*x225))*b274 + x23 =E= 0
;
e25.. -(5.65955594253374*(sqr(x187) + sqr(x226)) - 5.65955594253374*(x187*x186
+ x226*x225) + 65.737919024815*(x187*x225 - x186*x226))*b274 + x24 =E= 0
;
e26.. -(1.78885058218955*(sqr(x207) + sqr(x246)) - 1.78885058218955*(x207*x208
+ x246*x247) + 28.4589865348338*(x207*x247 - x208*x246))*b275 + x25
=E= 0;
e27.. -(1.78885058218955*(sqr(x208) + sqr(x247)) - 1.78885058218955*(x208*x207
+ x247*x246) + 28.4589865348338*(x208*x246 - x207*x247))*b275 + x26
=E= 0;
e28.. -(6.08775057616211*(sqr(x212) + sqr(x251)) - 6.08775057616211*(x212*x213
+ x251*x252) + 65.660738357177*(x212*x252 - x213*x251))*b276 + x27 =E= 0
;
e29.. -(6.08775057616211*(sqr(x213) + sqr(x252)) - 6.08775057616211*(x213*x212
+ x252*x251) + 65.660738357177*(x213*x251 - x212*x252))*b276 + x28 =E= 0
;
e30.. -(2.7708506511499*(sqr(x204) + sqr(x243)) - 2.7708506511499*(x204*x218 +
x243*x257) + 55.4170130229981*(x204*x257 - x218*x243))*b277 + x29 =E= 0;
e31.. -(2.7708506511499*(sqr(x218) + sqr(x257)) - 2.7708506511499*(x218*x204 +
x257*x243) + 55.4170130229981*(x218*x243 - x204*x257))*b277 + x30 =E= 0;
e32.. -(1.73849944821539*(sqr(x192) + sqr(x231)) - 1.73849944821539*(x192*x193
+ x231*x232) + 27.4380565087908*(x192*x232 - x193*x231))*b278 + x31
=E= 0;
e33.. -(1.73849944821539*(sqr(x193) + sqr(x232)) - 1.73849944821539*(x193*x192
+ x232*x231) + 27.4380565087908*(x193*x231 - x192*x232))*b278 + x32
=E= 0;
e34.. -(4.31922386869559*(sqr(x201) + sqr(x240)) - 4.31922386869559*(x201*x211
+ x240*x250) + 57.4789022526414*(x201*x250 - x211*x240))*b279 + x33
=E= 0;
e35.. -(4.31922386869559*(sqr(x211) + sqr(x250)) - 4.31922386869559*(x211*x201
+ x250*x240) + 57.4789022526414*(x211*x240 - x201*x250))*b279 + x34
=E= 0;
e36.. -(4.06834825061025*(sqr(x205) + sqr(x244)) - 4.06834825061025*(x205*x206
+ x244*x245) + 71.1960943856794*(x205*x245 - x206*x244))*b280 + x35
=E= 0;
e37.. -(4.06834825061025*(sqr(x206) + sqr(x245)) - 4.06834825061025*(x206*x205
+ x245*x244) + 71.1960943856794*(x206*x244 - x205*x245))*b280 + x36
=E= 0;
e38.. -(10.335154289089*(sqr(x190) + sqr(x229)) - 10.335154289089*(x190*x195 +
x229*x234) + 121.068950243614*(x190*x234 - x195*x229))*b281 + x37 =E= 0;
e39.. -(10.335154289089*(sqr(x195) + sqr(x234)) - 10.335154289089*(x195*x190 +
x234*x229) + 121.068950243614*(x195*x229 - x190*x234))*b281 + x38 =E= 0;
e40.. -(6.17630544637844*(sqr(x187) + sqr(x226)) - 6.17630544637844*(x187*x202
+ x226*x241) + 74.6771476698484*(x187*x241 - x202*x226))*b282 + x39
=E= 0;
e41.. -(6.17630544637844*(sqr(x202) + sqr(x241)) - 6.17630544637844*(x202*x187
+ x241*x226) + 74.6771476698484*(x202*x226 - x187*x241))*b282 + x40
=E= 0;
e42.. -(4.17961913220658*(sqr(x200) + sqr(x239)) - 4.17961913220658*(x200*x203
+ x239*x242) + 50.9391081737677*(x200*x242 - x203*x239))*b283 + x41
=E= 0;
e43.. -(4.17961913220658*(sqr(x203) + sqr(x242)) - 4.17961913220658*(x203*x200
+ x242*x239) + 50.9391081737677*(x203*x239 - x200*x242))*b283 + x42
=E= 0;
e44.. -(3.66626512334363*(sqr(x203) + sqr(x242)) - 3.66626512334363*(x203*x204
+ x242*x243) + 72.2777981459174*(x203*x243 - x204*x242))*b284 + x43
=E= 0;
e45.. -(3.66626512334363*(sqr(x204) + sqr(x243)) - 3.66626512334363*(x204*x203
+ x243*x242) + 72.2777981459174*(x204*x242 - x203*x243))*b284 + x44
=E= 0;
e46.. -(3.03740757263675*(sqr(x209) + sqr(x248)) - 3.03740757263675*(x209*x210
+ x248*x249) + 30.6588326863022*(x209*x249 - x210*x248))*b285 + x45
=E= 0;
e47.. -(3.03740757263675*(sqr(x210) + sqr(x249)) - 3.03740757263675*(x210*x209
+ x249*x248) + 30.6588326863022*(x210*x248 - x209*x249))*b285 + x46
=E= 0;
e48.. -(10.0930806324997*(sqr(x199) + sqr(x238)) - 10.0930806324997*(x199*x200
+ x238*x239) + 105.416619939442*(x199*x239 - x200*x238))*b286 + x47
=E= 0;
e49.. -(10.0930806324997*(sqr(x200) + sqr(x239)) - 10.0930806324997*(x200*x199
+ x239*x238) + 105.416619939442*(x200*x238 - x199*x239))*b286 + x48
=E= 0;
e50.. -(0.844411840765037*(sqr(x196) + sqr(x235)) - 0.844411840765037*(x196*
x195 + x235*x234) + 22.9574469207994*(x196*x234 - x195*x235))*b287 + x49
=E= 0;
e51.. -(0.844411840765037*(sqr(x195) + sqr(x234)) - 0.844411840765037*(x195*
x196 + x234*x235) + 22.9574469207994*(x195*x235 - x196*x234))*b287 + x50
=E= 0;
e52.. -(10.335154289089*(sqr(x201) + sqr(x240)) - 10.335154289089*(x201*x202 +
x240*x241) + 121.068950243614*(x201*x241 - x202*x240))*b288 + x51 =E= 0;
e53.. -(10.335154289089*(sqr(x202) + sqr(x241)) - 10.335154289089*(x202*x201 +
x241*x240) + 121.068950243614*(x202*x240 - x201*x241))*b288 + x52 =E= 0;
e54.. -(4.86381322957198*(sqr(x188) + sqr(x227)) - 4.86381322957198*(x188*x189
+ x227*x228) + 77.8210116731518*(x188*x228 - x189*x227))*b289 + x53
=E= 0;
e55.. -(4.86381322957198*(sqr(x189) + sqr(x228)) - 4.86381322957198*(x189*x188
+ x228*x227) + 77.8210116731518*(x189*x227 - x188*x228))*b289 + x54
=E= 0;
e56.. -(4.37421400842036*(sqr(x200) + sqr(x239)) - 4.37421400842036*(x200*x205
+ x239*x244) + 73.8148613920936*(x200*x244 - x205*x239))*b290 + x55
=E= 0;
e57.. -(4.37421400842036*(sqr(x205) + sqr(x244)) - 4.37421400842036*(x205*x200
+ x244*x239) + 73.8148613920936*(x205*x239 - x200*x244))*b290 + x56
=E= 0;
e58.. -(1.59744408945687*(sqr(x193) + sqr(x232)) - 1.59744408945687*(x193*x223
+ x232*x262) + 39.9361022364217*(x193*x262 - x223*x232))*b291 + x57
=E= 0;
e59.. -(1.59744408945687*(sqr(x223) + sqr(x262)) - 1.59744408945687*(x223*x193
+ x262*x232) + 39.9361022364217*(x223*x232 - x193*x262))*b291 + x58
=E= 0;
e60.. -(6.48508430609598*(sqr(x206) + sqr(x245)) - 6.48508430609598*(x206*x207
+ x245*x246) + 103.761348897536*(x206*x246 - x207*x245))*b292 + x59
=E= 0;
e61.. -(6.48508430609598*(sqr(x207) + sqr(x246)) - 6.48508430609598*(x207*x206
+ x246*x245) + 103.761348897536*(x207*x245 - x206*x246))*b292 + x60
=E= 0;
e62.. -(8.75316086364521*(sqr(x197) + sqr(x236)) - 8.75316086364521*(x197*x198
+ x236*x237) + 98.2299163586851*(x197*x237 - x198*x236))*b293 + x61
=E= 0;
e63.. -(8.75316086364521*(sqr(x198) + sqr(x237)) - 8.75316086364521*(x198*x197
+ x237*x236) + 98.2299163586851*(x198*x236 - x197*x237))*b293 + x62
=E= 0;
e64.. -55.2486187845304*(x186*x253 - x214*x225)*b294 + x63 =E= 0;
e65.. -55.2486187845304*(x214*x225 - x186*x253)*b294 + x64 =E= 0;
e66.. -(21.4477211796247*(sqr(x194) + sqr(x233)) - 21.4477211796247*(x194*x197
+ x233*x236) + 230.563002680965*(x194*x236 - x197*x233))*b295 + x65
=E= 0;
e67.. -(21.4477211796247*(sqr(x197) + sqr(x236)) - 21.4477211796247*(x197*x194
+ x236*x233) + 230.563002680965*(x197*x233 - x194*x236))*b295 + x66
=E= 0;
e68.. -(29.4117647058824*(sqr(x189) + sqr(x228)) - 29.4117647058824*(x189*x190
+ x228*x229) + 382.352941176471*(x189*x229 - x190*x228))*b296 + x67
=E= 0;
e69.. -(29.4117647058824*(sqr(x190) + sqr(x229)) - 29.4117647058824*(x190*x189
+ x229*x228) + 382.352941176471*(x190*x228 - x189*x229))*b296 + x68
=E= 0;
e70.. -(8.59598853868195*(sqr(x200) + sqr(x239)) - 8.59598853868195*(x200*x208
+ x239*x247) + 169.054441260745*(x200*x247 - x208*x239))*b297 + x69
=E= 0;
e71.. -(8.59598853868195*(sqr(x208) + sqr(x247)) - 8.59598853868195*(x208*x200
+ x247*x239) + 169.054441260745*(x208*x239 - x200*x247))*b297 + x70
=E= 0;
e72.. -(1.11399925733383*(sqr(x209) + sqr(x248)) - 1.11399925733383*(x209*x221
+ x248*x260) + 43.0746379502414*(x209*x260 - x221*x248))*b298 + x71
=E= 0;
e73.. -(1.11399925733383*(sqr(x221) + sqr(x260)) - 1.11399925733383*(x221*x209
+ x260*x248) + 43.0746379502414*(x221*x248 - x209*x260))*b298 + x72
=E= 0;
e74.. -(3.27868852459016*(sqr(x213) + sqr(x252)) - 3.27868852459016*(x213*x222
+ x252*x261) + 63.9344262295082*(x213*x261 - x222*x252))*b299 + x73
=E= 0;
e75.. -(3.27868852459016*(sqr(x222) + sqr(x261)) - 3.27868852459016*(x222*x213
+ x261*x252) + 63.9344262295082*(x222*x252 - x213*x261))*b299 + x74
=E= 0;
e76.. -(3.7964271402358*(sqr(x198) + sqr(x237)) - 3.7964271402358*(x198*x199 +
x237*x238) + 45.7680383017316*(x198*x238 - x199*x237))*b300 + x75 =E= 0;
e77.. -(3.7964271402358*(sqr(x199) + sqr(x238)) - 3.7964271402358*(x199*x198 +
x238*x237) + 45.7680383017316*(x199*x237 - x198*x238))*b300 + x76 =E= 0;
e78.. -(0.675593508897567*(sqr(x207) + sqr(x246)) - 0.675593508897567*(x207*
x220 + x246*x259) + 36.7522868840276*(x207*x259 - x220*x246))*b301 + x77
=E= 0;
e79.. -(0.675593508897567*(sqr(x220) + sqr(x259)) - 0.675593508897567*(x220*
x207 + x259*x246) + 36.7522868840276*(x220*x246 - x207*x259))*b301 + x78
=E= 0;
e80.. -(1.44716330603188*(sqr(x210) + sqr(x249)) - 1.44716330603188*(x210*x213
+ x249*x252) + 15.8680187064899*(x210*x252 - x213*x249))*b302 + x79
=E= 0;
e81.. -(1.44716330603188*(sqr(x213) + sqr(x252)) - 1.44716330603188*(x213*x210
+ x252*x249) + 15.8680187064899*(x213*x249 - x210*x252))*b302 + x80
=E= 0;
e82.. -(3.46311779547816*(sqr(x203) + sqr(x242)) - 3.46311779547816*(x203*x217
+ x242*x256) + 70.2518181368426*(x203*x256 - x217*x242))*b303 + x81
=E= 0;
e83.. -(3.46311779547816*(sqr(x217) + sqr(x256)) - 3.46311779547816*(x217*x203
+ x256*x242) + 70.2518181368426*(x217*x242 - x203*x256))*b303 + x82
=E= 0;
e84.. -(4.78898533373242*(sqr(x188) + sqr(x227)) - 4.78898533373242*(x188*x198
+ x227*x237) + 77.2223885064352*(x188*x237 - x198*x227))*b304 + x83
=E= 0;
e85.. -(4.78898533373242*(sqr(x198) + sqr(x237)) - 4.78898533373242*(x198*x188
+ x237*x227) + 77.2223885064352*(x198*x227 - x188*x237))*b304 + x84
=E= 0;
e86.. -(21.4477211796247*(sqr(x194) + sqr(x233)) - 21.4477211796247*(x194*x195
+ x233*x234) + 230.563002680965*(x194*x234 - x195*x233))*b305 + x85
=E= 0;
e87.. -(21.4477211796247*(sqr(x195) + sqr(x234)) - 21.4477211796247*(x195*x194
+ x234*x233) + 230.563002680965*(x195*x233 - x194*x234))*b305 + x86
=E= 0;
e88.. -(56.9290826284971*(sqr(x186) + sqr(x225)) - 56.9290826284971*(x186*x209
+ x225*x248) + 69.9414443721535*(x186*x248 - x209*x225))*b306 + x87
=E= 0;
e89.. -(56.9290826284971*(sqr(x209) + sqr(x248)) - 56.9290826284971*(x209*x186
+ x248*x225) + 69.9414443721535*(x209*x225 - x186*x248))*b306 + x88
=E= 0;
e90.. -(18.7617260787993*(sqr(x191) + sqr(x230)) - 18.7617260787993*(x191*x192
+ x230*x231) + 215.759849906191*(x191*x231 - x192*x230))*b307 + x89
=E= 0;
e91.. -(18.7617260787993*(sqr(x192) + sqr(x231)) - 18.7617260787993*(x192*x191
+ x231*x230) + 215.759849906191*(x192*x230 - x191*x231))*b307 + x90
=E= 0;
e92.. -(1.89824522679616*(sqr(x210) + sqr(x249)) - 1.89824522679616*(x210*x212
+ x249*x251) + 20.9248427325902*(x210*x251 - x212*x249))*b308 + x91
=E= 0;
e93.. -(1.89824522679616*(sqr(x212) + sqr(x251)) - 1.89824522679616*(x212*x210
+ x251*x249) + 20.9248427325902*(x212*x249 - x210*x251))*b308 + x92
=E= 0;
e94.. -(22.9574469207994*(sqr(x196) + sqr(x235)) - 22.9574469207994*(x196*x197
+ x235*x236) - 0.844411840765037*(x196*x236 - x197*x235))*b263 + x93
=E= 0;
e95.. -(22.9574469207994*(sqr(x197) + sqr(x236)) - 22.9574469207994*(x197*x196
+ x236*x235) - 0.844411840765037*(x197*x235 - x196*x236))*b263 + x94
=E= 0;
e96.. -(88.7586873096447*(sqr(x189) + sqr(x228)) - 88.8324873096447*(x189*x192
+ x228*x231) - 6.34517766497462*(x189*x231 - x192*x228))*b264 + x95
=E= 0;
e97.. -(88.7586873096447*(sqr(x192) + sqr(x231)) - 88.8324873096447*(x192*x189
+ x231*x228) - 6.34517766497462*(x192*x228 - x189*x231))*b264 + x96
=E= 0;
e98.. -(111.601657841907*(sqr(x200) + sqr(x239)) - 111.668757841907*(x200*x201
+ x239*x240) - 8.78293601003764*(x200*x240 - x201*x239))*b265 + x97
=E= 0;
e99.. -(111.601657841907*(sqr(x201) + sqr(x240)) - 111.668757841907*(x201*x200
+ x240*x239) - 8.78293601003764*(x201*x239 - x200*x240))*b265 + x98
=E= 0;
e100.. -(40*(sqr(x190) + sqr(x229)) - 40*(x190*x215 + x229*x254))*b266 + x99
=E= 0;
e101.. -(40*(sqr(x215) + sqr(x254)) - 40*(x215*x190 + x254*x229))*b266 + x100
=E= 0;
e102.. -(108.178794117647*(sqr(x190) + sqr(x229)) - 108.235294117647*(x190*x191
+ x229*x230) - 7.05882352941176*(x190*x230 - x191*x229))*b267 + x101
=E= 0;
e103.. -(108.178794117647*(sqr(x191) + sqr(x230)) - 108.235294117647*(x191*x190
+ x230*x229) - 7.05882352941176*(x191*x229 - x190*x230))*b267 + x102
=E= 0;
e104.. -(39.5611022364217*(sqr(x185) + sqr(x224)) - 39.9361022364217*(x185*x223
+ x224*x262) - 1.59744408945687*(x185*x262 - x223*x224))*b268 + x103
=E= 0;
e105.. -(39.5611022364217*(sqr(x223) + sqr(x262)) - 39.9361022364217*(x223*x185
+ x262*x224) - 1.59744408945687*(x223*x224 - x185*x262))*b268 + x104
=E= 0;
e106.. -(67.2959303370787*(sqr(x210) + sqr(x249)) - 67.4157303370787*(x210*x211
+ x249*x250) - 6.42054574638844*(x210*x250 - x211*x249))*b269 + x105
=E= 0;
e107.. -(67.2959303370787*(sqr(x211) + sqr(x250)) - 67.4157303370787*(x211*x210
+ x250*x249) - 6.42054574638844*(x211*x249 - x210*x250))*b269 + x106
=E= 0;
e108.. -(50*(sqr(x194) + sqr(x233)) - 50*(x194*x216 + x233*x255))*b270 + x107
=E= 0;
e109.. -(50*(sqr(x216) + sqr(x255)) - 50*(x216*x194 + x255*x233))*b270 + x108
=E= 0;
e110.. -(23.8063750831639*(sqr(x185) + sqr(x224)) - 24.1557250831639*(x185*x186
+ x224*x225) - 2.0570568805614*(x185*x225 - x186*x224))*b271 + x109
=E= 0;
e111.. -(23.8063750831639*(sqr(x186) + sqr(x225)) - 24.1557250831639*(x186*x185
+ x225*x224) - 2.0570568805614*(x186*x224 - x185*x225))*b271 + x110
=E= 0;
e112.. -(46.6634227107032*(sqr(x187) + sqr(x226)) - 46.7741227107032*(x187*x188
+ x226*x227) - 2.85475866309456*(x187*x227 - x188*x226))*b272 + x111
=E= 0;
e113.. -(46.6634227107032*(sqr(x188) + sqr(x227)) - 46.7741227107032*(x188*x187
+ x227*x226) - 2.85475866309456*(x188*x226 - x187*x227))*b272 + x112
=E= 0;
e114.. -(69.9300699300699*(sqr(x206) + sqr(x245)) - 69.9300699300699*(x206*x219
+ x245*x258))*b273 + x113 =E= 0;
e115.. -(69.9300699300699*(sqr(x219) + sqr(x258)) - 69.9300699300699*(x219*x206
+ x258*x245))*b273 + x114 =E= 0;
e116.. -(65.609319024815*(sqr(x186) + sqr(x225)) - 65.737919024815*(x186*x187
+ x225*x226) - 5.65955594253374*(x186*x226 - x187*x225))*b274 + x115
=E= 0;
e117.. -(65.609319024815*(sqr(x187) + sqr(x226)) - 65.737919024815*(x187*x186
+ x226*x225) - 5.65955594253374*(x187*x225 - x186*x226))*b274 + x116
=E= 0;
e118.. -(28.2784865348338*(sqr(x207) + sqr(x246)) - 28.4589865348338*(x207*x208
+ x246*x247) - 1.78885058218955*(x207*x247 - x208*x246))*b275 + x117
=E= 0;
e119.. -(28.2784865348338*(sqr(x208) + sqr(x247)) - 28.4589865348338*(x208*x207
+ x247*x246) - 1.78885058218955*(x208*x246 - x207*x247))*b275 + x118
=E= 0;
e120.. -(65.536238357177*(sqr(x212) + sqr(x251)) - 65.660738357177*(x212*x213
+ x251*x252) - 6.08775057616211*(x212*x252 - x213*x251))*b276 + x119
=E= 0;
e121.. -(65.536238357177*(sqr(x213) + sqr(x252)) - 65.660738357177*(x213*x212
+ x252*x251) - 6.08775057616211*(x213*x251 - x212*x252))*b276 + x120
=E= 0;
e122.. -(55.4170130229981*(sqr(x204) + sqr(x243)) - 55.4170130229981*(x204*x218
+ x243*x257) - 2.7708506511499*(x204*x257 - x218*x243))*b277 + x121
=E= 0;
e123.. -(55.4170130229981*(sqr(x218) + sqr(x257)) - 55.4170130229981*(x218*x204
+ x257*x243) - 2.7708506511499*(x218*x243 - x204*x257))*b277 + x122
=E= 0;
e124.. -(27.2478565087908*(sqr(x192) + sqr(x231)) - 27.4380565087908*(x192*x193
+ x231*x232) - 1.73849944821539*(x192*x232 - x193*x231))*b278 + x123
=E= 0;
e125.. -(27.2478565087908*(sqr(x193) + sqr(x232)) - 27.4380565087908*(x193*x192
+ x232*x231) - 1.73849944821539*(x193*x231 - x192*x232))*b278 + x124
=E= 0;
e126.. -(57.3181022526414*(sqr(x201) + sqr(x240)) - 57.4789022526414*(x201*x211
+ x240*x250) - 4.31922386869559*(x201*x250 - x211*x240))*b279 + x125
=E= 0;
e127.. -(57.3181022526414*(sqr(x211) + sqr(x250)) - 57.4789022526414*(x211*x201
+ x250*x240) - 4.31922386869559*(x211*x240 - x201*x250))*b279 + x126
=E= 0;
e128.. -(71.0678443856794*(sqr(x205) + sqr(x244)) - 71.1960943856794*(x205*x206
+ x244*x245) - 4.06834825061025*(x205*x245 - x206*x244))*b280 + x127
=E= 0;
e129.. -(71.0678443856794*(sqr(x206) + sqr(x245)) - 71.1960943856794*(x206*x205
+ x245*x244) - 4.06834825061025*(x206*x244 - x205*x245))*b280 + x128
=E= 0;
e130.. -(120.999500243614*(sqr(x190) + sqr(x229)) - 121.068950243614*(x190*x195
+ x229*x234) - 10.335154289089*(x190*x234 - x195*x229))*b281 + x129
=E= 0;
e131.. -(120.999500243614*(sqr(x195) + sqr(x234)) - 121.068950243614*(x195*x190
+ x234*x229) - 10.335154289089*(x195*x229 - x190*x234))*b281 + x130
=E= 0;
e132.. -(74.5702476698484*(sqr(x187) + sqr(x226)) - 74.6771476698484*(x187*x202
+ x226*x241) - 6.17630544637844*(x187*x241 - x202*x226))*b282 + x131
=E= 0;
e133.. -(74.5702476698484*(sqr(x202) + sqr(x241)) - 74.6771476698484*(x202*x187
+ x241*x226) - 6.17630544637844*(x202*x226 - x187*x241))*b282 + x132
=E= 0;
e134.. -(50.7871081737677*(sqr(x200) + sqr(x239)) - 50.9391081737677*(x200*x203
+ x239*x242) - 4.17961913220658*(x200*x242 - x203*x239))*b283 + x133
=E= 0;
e135.. -(50.7871081737677*(sqr(x203) + sqr(x242)) - 50.9391081737677*(x203*x200
+ x242*x239) - 4.17961913220658*(x203*x239 - x200*x242))*b283 + x134
=E= 0;
e136.. -(72.2777981459174*(sqr(x203) + sqr(x242)) - 72.2777981459174*(x203*x204
+ x242*x243) - 3.66626512334363*(x203*x243 - x204*x242))*b284 + x135
=E= 0;
e137.. -(72.2777981459174*(sqr(x204) + sqr(x243)) - 72.2777981459174*(x204*x203
+ x243*x242) - 3.66626512334363*(x204*x242 - x203*x243))*b284 + x136
=E= 0;
e138.. -(30.3933326863022*(sqr(x209) + sqr(x248)) - 30.6588326863022*(x209*x210
+ x248*x249) - 3.03740757263675*(x209*x249 - x210*x248))*b285 + x137
=E= 0;
e139.. -(30.3933326863022*(sqr(x210) + sqr(x249)) - 30.6588326863022*(x210*x209
+ x249*x248) - 3.03740757263675*(x210*x248 - x209*x249))*b285 + x138
=E= 0;
e140.. -(105.331119939442*(sqr(x199) + sqr(x238)) - 105.416619939442*(x199*x200
+ x238*x239) - 10.0930806324997*(x199*x239 - x200*x238))*b286 + x139
=E= 0;
e141.. -(105.331119939442*(sqr(x200) + sqr(x239)) - 105.416619939442*(x200*x199
+ x239*x238) - 10.0930806324997*(x200*x238 - x199*x239))*b286 + x140
=E= 0;
e142.. -(22.9574469207994*(sqr(x196) + sqr(x235)) - 22.9574469207994*(x196*x195
+ x235*x234) - 0.844411840765037*(x196*x234 - x195*x235))*b287 + x141
=E= 0;
e143.. -(22.9574469207994*(sqr(x195) + sqr(x234)) - 22.9574469207994*(x195*x196
+ x234*x235) - 0.844411840765037*(x195*x235 - x196*x234))*b287 + x142
=E= 0;
e144.. -(121.003000243614*(sqr(x201) + sqr(x240)) - 121.068950243614*(x201*x202
+ x240*x241) - 10.335154289089*(x201*x241 - x202*x240))*b288 + x143
=E= 0;
e145.. -(121.003000243614*(sqr(x202) + sqr(x241)) - 121.068950243614*(x202*x201
+ x241*x240) - 10.335154289089*(x202*x240 - x201*x241))*b288 + x144
=E= 0;
e146.. -(77.7539116731518*(sqr(x188) + sqr(x227)) - 77.8210116731518*(x188*x189
+ x227*x228) - 4.86381322957198*(x188*x228 - x189*x227))*b289 + x145
=E= 0;
e147.. -(77.7539116731518*(sqr(x189) + sqr(x228)) - 77.8210116731518*(x189*x188
+ x228*x227) - 4.86381322957198*(x189*x227 - x188*x228))*b289 + x146
=E= 0;
e148.. -(73.6874613920936*(sqr(x200) + sqr(x239)) - 73.8148613920936*(x200*x205
+ x239*x244) - 4.37421400842036*(x200*x244 - x205*x239))*b290 + x147
=E= 0;
e149.. -(73.6874613920936*(sqr(x205) + sqr(x244)) - 73.8148613920936*(x205*x200
+ x244*x239) - 4.37421400842036*(x205*x239 - x200*x244))*b290 + x148
=E= 0;
e150.. -(39.3361022364217*(sqr(x193) + sqr(x232)) - 39.9361022364217*(x193*x223
+ x232*x262) - 1.59744408945687*(x193*x262 - x223*x232))*b291 + x149
=E= 0;
e151.. -(39.3361022364217*(sqr(x223) + sqr(x262)) - 39.9361022364217*(x223*x193
+ x262*x232) - 1.59744408945687*(x223*x232 - x193*x262))*b291 + x150
=E= 0;
e152.. -(103.669048897536*(sqr(x206) + sqr(x245)) - 103.761348897536*(x206*x207
+ x245*x246) - 6.48508430609598*(x206*x246 - x207*x245))*b292 + x151
=E= 0;
e153.. -(103.669048897536*(sqr(x207) + sqr(x246)) - 103.761348897536*(x207*x206
+ x246*x245) - 6.48508430609598*(x207*x245 - x206*x246))*b292 + x152
=E= 0;
e154.. -(98.1437663586851*(sqr(x197) + sqr(x236)) - 98.2299163586851*(x197*x198
+ x236*x237) - 8.75316086364521*(x197*x237 - x198*x236))*b293 + x153
=E= 0;
e155.. -(98.1437663586851*(sqr(x198) + sqr(x237)) - 98.2299163586851*(x198*x197
+ x237*x236) - 8.75316086364521*(x198*x236 - x197*x237))*b293 + x154
=E= 0;
e156.. -(55.2486187845304*(sqr(x186) + sqr(x225)) - 55.2486187845304*(x186*x214
+ x225*x253))*b294 + x155 =E= 0;
e157.. -(55.2486187845304*(sqr(x214) + sqr(x253)) - 55.2486187845304*(x214*x186
+ x253*x225))*b294 + x156 =E= 0;
e158.. -(230.526552680965*(sqr(x194) + sqr(x233)) - 230.563002680965*(x194*x197
+ x233*x236) - 21.4477211796247*(x194*x236 - x197*x233))*b295 + x157
=E= 0;
e159.. -(230.526552680965*(sqr(x197) + sqr(x236)) - 230.563002680965*(x197*x194
+ x236*x233) - 21.4477211796247*(x197*x233 - x194*x236))*b295 + x158
=E= 0;
e160.. -(382.331241176471*(sqr(x189) + sqr(x228)) - 382.352941176471*(x189*x190
+ x228*x229) - 29.4117647058824*(x189*x229 - x190*x228))*b296 + x159
=E= 0;
e161.. -(382.331241176471*(sqr(x190) + sqr(x229)) - 382.352941176471*(x190*x189
+ x229*x228) - 29.4117647058824*(x190*x228 - x189*x229))*b296 + x160
=E= 0;
e162.. -(169.020441260745*(sqr(x200) + sqr(x239)) - 169.054441260745*(x200*x208
+ x239*x247) - 8.59598853868195*(x200*x247 - x208*x239))*b297 + x161
=E= 0;
e163.. -(169.020441260745*(sqr(x208) + sqr(x247)) - 169.054441260745*(x208*x200
+ x247*x239) - 8.59598853868195*(x208*x239 - x200*x247))*b297 + x162
=E= 0;
e164.. -(43.0746379502414*(sqr(x209) + sqr(x248)) - 43.0746379502414*(x209*x221
+ x248*x260) - 1.11399925733383*(x209*x260 - x221*x248))*b298 + x163
=E= 0;
e165.. -(43.0746379502414*(sqr(x221) + sqr(x260)) - 43.0746379502414*(x221*x209
+ x260*x248) - 1.11399925733383*(x221*x248 - x209*x260))*b298 + x164
=E= 0;
e166.. -(63.9344262295082*(sqr(x213) + sqr(x252)) - 63.9344262295082*(x213*x222
+ x252*x261) - 3.27868852459016*(x213*x261 - x222*x252))*b299 + x165
=E= 0;
e167.. -(63.9344262295082*(sqr(x222) + sqr(x261)) - 63.9344262295082*(x222*x213
+ x261*x252) - 3.27868852459016*(x222*x252 - x213*x261))*b299 + x166
=E= 0;
e168.. -(45.5850383017316*(sqr(x198) + sqr(x237)) - 45.7680383017316*(x198*x199
+ x237*x238) - 3.7964271402358*(x198*x238 - x199*x237))*b300 + x167
=E= 0;
e169.. -(45.5850383017316*(sqr(x199) + sqr(x238)) - 45.7680383017316*(x199*x198
+ x238*x237) - 3.7964271402358*(x199*x237 - x198*x238))*b300 + x168
=E= 0;
e170.. -(36.7522868840276*(sqr(x207) + sqr(x246)) - 36.7522868840276*(x207*x220
+ x246*x259) - 0.675593508897567*(x207*x259 - x220*x246))*b301 + x169
=E= 0;
e171.. -(36.7522868840276*(sqr(x220) + sqr(x259)) - 36.7522868840276*(x220*x207
+ x259*x246) - 0.675593508897567*(x220*x246 - x207*x259))*b301 + x170
=E= 0;
e172.. -(15.3535187064899*(sqr(x210) + sqr(x249)) - 15.8680187064899*(x210*x213
+ x249*x252) - 1.44716330603188*(x210*x252 - x213*x249))*b302 + x171
=E= 0;
e173.. -(15.3535187064899*(sqr(x213) + sqr(x252)) - 15.8680187064899*(x213*x210
+ x252*x249) - 1.44716330603188*(x213*x249 - x210*x252))*b302 + x172
=E= 0;
e174.. -(70.2518181368426*(sqr(x203) + sqr(x242)) - 70.2518181368426*(x203*x217
+ x242*x256) - 3.46311779547816*(x203*x256 - x217*x242))*b303 + x173
=E= 0;
e175.. -(70.2518181368426*(sqr(x217) + sqr(x256)) - 70.2518181368426*(x217*x203
+ x256*x242) - 3.46311779547816*(x217*x242 - x203*x256))*b303 + x174
=E= 0;
e176.. -(77.1532885064352*(sqr(x188) + sqr(x227)) - 77.2223885064352*(x188*x198
+ x227*x237) - 4.78898533373242*(x188*x237 - x198*x227))*b304 + x175
=E= 0;
e177.. -(77.1532885064352*(sqr(x198) + sqr(x237)) - 77.2223885064352*(x198*x188
+ x237*x227) - 4.78898533373242*(x198*x227 - x188*x237))*b304 + x176
=E= 0;
e178.. -(230.526552680965*(sqr(x194) + sqr(x233)) - 230.563002680965*(x194*x195
+ x233*x234) - 21.4477211796247*(x194*x234 - x195*x233))*b305 + x177
=E= 0;
e179.. -(230.526552680965*(sqr(x195) + sqr(x234)) - 230.563002680965*(x195*x194
+ x234*x233) - 21.4477211796247*(x195*x233 - x194*x234))*b305 + x178
=E= 0;
e180.. -(69.8684443721535*(sqr(x186) + sqr(x225)) - 69.9414443721535*(x186*x209
+ x225*x248) - 56.9290826284971*(x186*x248 - x209*x225))*b306 + x179
=E= 0;
e181.. -(69.8684443721535*(sqr(x209) + sqr(x248)) - 69.9414443721535*(x209*x186
+ x248*x225) - 56.9290826284971*(x209*x225 - x186*x248))*b306 + x180
=E= 0;
e182.. -(215.720849906191*(sqr(x191) + sqr(x230)) - 215.759849906191*(x191*x192
+ x230*x231) - 18.7617260787993*(x191*x231 - x192*x230))*b307 + x181
=E= 0;
e183.. -(215.720849906191*(sqr(x192) + sqr(x231)) - 215.759849906191*(x192*x191
+ x231*x230) - 18.7617260787993*(x192*x230 - x191*x231))*b307 + x182
=E= 0;
e184.. -(20.5347427325902*(sqr(x210) + sqr(x249)) - 20.9248427325902*(x210*x212
+ x249*x251) - 1.89824522679616*(x210*x251 - x212*x249))*b308 + x183
=E= 0;
e185.. -(20.5347427325902*(sqr(x212) + sqr(x251)) - 20.9248427325902*(x212*x210
+ x251*x249) - 1.89824522679616*(x212*x249 - x210*x251))*b308 + x184
=E= 0;
e186.. sqr(x1) + sqr(x93) =L= 25;
e187.. sqr(x2) + sqr(x94) =L= 25;
e188.. sqr(x3) + sqr(x95) =L= 81;
e189.. sqr(x4) + sqr(x96) =L= 81;
e190.. sqr(x5) + sqr(x97) =L= 36;
e191.. sqr(x6) + sqr(x98) =L= 36;
e192.. sqr(x7) + sqr(x99) =L= 324;
e193.. sqr(x8) + sqr(x100) =L= 324;
e194.. sqr(x9) + sqr(x101) =L= 81;
e195.. sqr(x10) + sqr(x102) =L= 81;
e196.. sqr(x11) + sqr(x103) =L= 100;
e197.. sqr(x12) + sqr(x104) =L= 100;
e198.. sqr(x13) + sqr(x105) =L= 36;
e199.. sqr(x14) + sqr(x106) =L= 36;
e200.. sqr(x15) + sqr(x107) =L= 81;
e201.. sqr(x16) + sqr(x108) =L= 81;
e202.. sqr(x17) + sqr(x109) =L= 36;
e203.. sqr(x18) + sqr(x110) =L= 36;
e204.. sqr(x19) + sqr(x111) =L= 25;
e205.. sqr(x20) + sqr(x112) =L= 25;
e206.. sqr(x21) + sqr(x113) =L= 81;
e207.. sqr(x22) + sqr(x114) =L= 81;
e208.. sqr(x23) + sqr(x115) =L= 25;
e209.. sqr(x24) + sqr(x116) =L= 25;
e210.. sqr(x25) + sqr(x117) =L= 36;
e211.. sqr(x26) + sqr(x118) =L= 36;
e212.. sqr(x27) + sqr(x119) =L= 36;
e213.. sqr(x28) + sqr(x120) =L= 36;
e214.. sqr(x29) + sqr(x121) =L= 81;
e215.. sqr(x30) + sqr(x122) =L= 81;
e216.. sqr(x31) + sqr(x123) =L= 81;
e217.. sqr(x32) + sqr(x124) =L= 81;
e218.. sqr(x33) + sqr(x125) =L= 36;
e219.. sqr(x34) + sqr(x126) =L= 36;
e220.. sqr(x35) + sqr(x127) =L= 81;
e221.. sqr(x36) + sqr(x128) =L= 81;
e222.. sqr(x37) + sqr(x129) =L= 23.04;
e223.. sqr(x38) + sqr(x130) =L= 23.04;
e224.. sqr(x39) + sqr(x131) =L= 25;
e225.. sqr(x40) + sqr(x132) =L= 25;
e226.. sqr(x41) + sqr(x133) =L= 36;
e227.. sqr(x42) + sqr(x134) =L= 36;
e228.. sqr(x43) + sqr(x135) =L= 81;
e229.. sqr(x44) + sqr(x136) =L= 81;
e230.. sqr(x45) + sqr(x137) =L= 36;
e231.. sqr(x46) + sqr(x138) =L= 36;
e232.. sqr(x47) + sqr(x139) =L= 36;
e233.. sqr(x48) + sqr(x140) =L= 36;
e234.. sqr(x49) + sqr(x141) =L= 25;
e235.. sqr(x50) + sqr(x142) =L= 25;
e236.. sqr(x51) + sqr(x143) =L= 36;
e237.. sqr(x52) + sqr(x144) =L= 36;
e238.. sqr(x53) + sqr(x145) =L= 36;
e239.. sqr(x54) + sqr(x146) =L= 36;
e240.. sqr(x55) + sqr(x147) =L= 36;
e241.. sqr(x56) + sqr(x148) =L= 36;
e242.. sqr(x57) + sqr(x149) =L= 81;
e243.. sqr(x58) + sqr(x150) =L= 81;
e244.. sqr(x59) + sqr(x151) =L= 36;
e245.. sqr(x60) + sqr(x152) =L= 36;
e246.. sqr(x61) + sqr(x153) =L= 36;
e247.. sqr(x62) + sqr(x154) =L= 36;
e248.. sqr(x63) + sqr(x155) =L= 81;
e249.. sqr(x64) + sqr(x156) =L= 81;
e250.. sqr(x65) + sqr(x157) =L= 36;
e251.. sqr(x66) + sqr(x158) =L= 36;
e252.. sqr(x67) + sqr(x159) =L= 144;
e253.. sqr(x68) + sqr(x160) =L= 144;
e254.. sqr(x69) + sqr(x161) =L= 36;
e255.. sqr(x70) + sqr(x162) =L= 36;
e256.. sqr(x71) + sqr(x163) =L= 81;
e257.. sqr(x72) + sqr(x164) =L= 81;
e258.. sqr(x73) + sqr(x165) =L= 144;
e259.. sqr(x74) + sqr(x166) =L= 144;
e260.. sqr(x75) + sqr(x167) =L= 36;
e261.. sqr(x76) + sqr(x168) =L= 36;
e262.. sqr(x77) + sqr(x169) =L= 81;
e263.. sqr(x78) + sqr(x170) =L= 81;
e264.. sqr(x79) + sqr(x171) =L= 36;
e265.. sqr(x80) + sqr(x172) =L= 36;
e266.. sqr(x81) + sqr(x173) =L= 81;
e267.. sqr(x82) + sqr(x174) =L= 81;
e268.. sqr(x83) + sqr(x175) =L= 25;
e269.. sqr(x84) + sqr(x176) =L= 25;
e270.. sqr(x85) + sqr(x177) =L= 36;
e271.. sqr(x86) + sqr(x178) =L= 36;
e272.. sqr(x87) + sqr(x179) =L= 25;
e273.. sqr(x88) + sqr(x180) =L= 25;
e274.. sqr(x89) + sqr(x181) =L= 81;
e275.. sqr(x90) + sqr(x182) =L= 81;
e276.. sqr(x91) + sqr(x183) =L= 36;
e277.. sqr(x92) + sqr(x184) =L= 36;
e278.. sqr(x185) + sqr(x224) =L= 1.1236;
e279.. sqr(x186) + sqr(x225) =L= 1.1236;
e280.. sqr(x187) + sqr(x226) =L= 1.1236;
e281.. sqr(x188) + sqr(x227) =L= 1.1236;
e282.. sqr(x189) + sqr(x228) =L= 1.1236;
e283.. sqr(x190) + sqr(x229) =L= 1.1236;
e284.. sqr(x191) + sqr(x230) =L= 1.1236;
e285.. sqr(x192) + sqr(x231) =L= 1.1236;
e286.. sqr(x193) + sqr(x232) =L= 1.1236;
e287.. sqr(x194) + sqr(x233) =L= 1.1236;
e288.. sqr(x195) + sqr(x234) =L= 1.1236;
e289.. sqr(x196) + sqr(x235) =L= 1.1236;
e290.. sqr(x197) + sqr(x236) =L= 1.1236;
e291.. sqr(x198) + sqr(x237) =L= 1.1236;
e292.. sqr(x199) + sqr(x238) =L= 1.1236;
e293.. sqr(x200) + sqr(x239) =L= 1.1236;
e294.. sqr(x201) + sqr(x240) =L= 1.1236;
e295.. sqr(x202) + sqr(x241) =L= 1.1236;
e296.. sqr(x203) + sqr(x242) =L= 1.1236;
e297.. sqr(x204) + sqr(x243) =L= 1.1236;
e298.. sqr(x205) + sqr(x244) =L= 1.1236;
e299.. sqr(x206) + sqr(x245) =L= 1.1236;
e300.. sqr(x207) + sqr(x246) =L= 1.1236;
e301.. sqr(x208) + sqr(x247) =L= 1.1236;
e302.. sqr(x209) + sqr(x248) =L= 1.1236;
e303.. sqr(x210) + sqr(x249) =L= 1.1236;
e304.. sqr(x211) + sqr(x250) =L= 1.1236;
e305.. sqr(x212) + sqr(x251) =L= 1.1236;
e306.. sqr(x213) + sqr(x252) =L= 1.1236;
e307.. sqr(x214) + sqr(x253) =L= 1.1236;
e308.. sqr(x215) + sqr(x254) =L= 1.1236;
e309.. sqr(x216) + sqr(x255) =L= 1.1236;
e310.. sqr(x217) + sqr(x256) =L= 1.1236;
e311.. sqr(x218) + sqr(x257) =L= 1.1236;
e312.. sqr(x219) + sqr(x258) =L= 1.1236;
e313.. sqr(x220) + sqr(x259) =L= 1.1236;
e314.. sqr(x221) + sqr(x260) =L= 1.1236;
e315.. sqr(x222) + sqr(x261) =L= 1.1236;
e316.. sqr(x223) + sqr(x262) =L= 1.1236;
e317.. sqr(x185) + sqr(x224) =G= 0.8836;
e318.. sqr(x186) + sqr(x225) =G= 0.8836;
e319.. sqr(x187) + sqr(x226) =G= 0.8836;
e320.. sqr(x188) + sqr(x227) =G= 0.8836;
e321.. sqr(x189) + sqr(x228) =G= 0.8836;
e322.. sqr(x190) + sqr(x229) =G= 0.8836;
e323.. sqr(x191) + sqr(x230) =G= 0.8836;
e324.. sqr(x192) + sqr(x231) =G= 0.8836;
e325.. sqr(x193) + sqr(x232) =G= 0.8836;
e326.. sqr(x194) + sqr(x233) =G= 0.8836;
e327.. sqr(x195) + sqr(x234) =G= 0.8836;
e328.. sqr(x196) + sqr(x235) =G= 0.8836;
e329.. sqr(x197) + sqr(x236) =G= 0.8836;
e330.. sqr(x198) + sqr(x237) =G= 0.8836;
e331.. sqr(x199) + sqr(x238) =G= 0.8836;
e332.. sqr(x200) + sqr(x239) =G= 0.8836;
e333.. sqr(x201) + sqr(x240) =G= 0.8836;
e334.. sqr(x202) + sqr(x241) =G= 0.8836;
e335.. sqr(x203) + sqr(x242) =G= 0.8836;
e336.. sqr(x204) + sqr(x243) =G= 0.8836;
e337.. sqr(x205) + sqr(x244) =G= 0.8836;
e338.. sqr(x206) + sqr(x245) =G= 0.8836;
e339.. sqr(x207) + sqr(x246) =G= 0.8836;
e340.. sqr(x208) + sqr(x247) =G= 0.8836;
e341.. sqr(x209) + sqr(x248) =G= 0.8836;
e342.. sqr(x210) + sqr(x249) =G= 0.8836;
e343.. sqr(x211) + sqr(x250) =G= 0.8836;
e344.. sqr(x212) + sqr(x251) =G= 0.8836;
e345.. sqr(x213) + sqr(x252) =G= 0.8836;
e346.. sqr(x214) + sqr(x253) =G= 0.8836;
e347.. sqr(x215) + sqr(x254) =G= 0.8836;
e348.. sqr(x216) + sqr(x255) =G= 0.8836;
e349.. sqr(x217) + sqr(x256) =G= 0.8836;
e350.. sqr(x218) + sqr(x257) =G= 0.8836;
e351.. sqr(x219) + sqr(x258) =G= 0.8836;
e352.. sqr(x220) + sqr(x259) =G= 0.8836;
e353.. sqr(x221) + sqr(x260) =G= 0.8836;
e354.. sqr(x222) + sqr(x261) =G= 0.8836;
e355.. sqr(x223) + sqr(x262) =G= 0.8836;
e356.. x309 =L= 10.4;
e357.. x310 =L= 6.46;
e358.. x311 =L= 7.25;
e359.. x312 =L= 6.52;
e360.. x313 =L= 5.08;
e361.. x314 =L= 6.87;
e362.. x315 =L= 5.8;
e363.. x316 =L= 5.64;
e364.. x317 =L= 8.65;
e365.. x318 =L= 11;
e366.. x309 =G= 0;
e367.. x310 =G= 0;
e368.. x311 =G= 0;
e369.. x312 =G= 0;
e370.. x313 =G= 0;
e371.. x314 =G= 0;
e372.. x315 =G= 0;
e373.. x316 =G= 0;
e374.. x317 =G= 0;
e375.. x318 =G= 0;
e376.. x319 =L= 4;
e377.. x320 =L= 3;
e378.. x321 =L= 3;
e379.. x322 =L= 2.5;
e380.. x323 =L= 1.67;
e381.. x324 =L= 3;
e382.. x325 =L= 2.4;
e383.. x326 =L= 2.5;
e384.. x327 =L= 3;
e385.. x328 =L= 3;
e386.. x319 =G= 1.4;
e387.. x320 =G= -1;
e388.. x321 =G= 1.5;
e389.. x322 =G= 0;
e390.. x323 =G= 0;
e391.. x324 =G= -1;
e392.. x325 =G= 0;
e393.. x326 =G= 0;
e394.. x327 =G= -1.5;
e395.. x328 =G= -1;
e396.. x254 =E= 0;
e397.. x64 - x309 =E= 0;
e398.. x8 - x310 =E= -0.092;
e399.. x16 - x311 =E= 0;
e400.. x82 - x312 =E= 0;
e401.. x30 - x313 =E= 0;
e402.. x22 - x314 =E= 0;
e403.. x78 - x315 =E= 0;
e404.. x72 - x316 =E= 0;
e405.. x74 - x317 =E= 0;
e406.. x12 + x58 - x318 =E= -11.04;
e407.. x156 - x319 =E= 0;
e408.. x100 - x320 =E= -0.046;
e409.. x108 - x321 =E= 0;
e410.. x174 - x322 =E= 0;
e411.. x122 - x323 =E= 0;
e412.. x114 - x324 =E= 0;
e413.. x170 - x325 =E= 0;
e414.. x164 - x326 =E= 0;
e415.. x166 - x327 =E= 0;
e416.. x104 + x150 - x328 =E= -2.5;
e417.. x11 + x17 =E= -0.976;
e418.. x18 + x23 + x63 + x87 =E= 0;
e419.. x19 + x24 + x39 =E= -3.22;
e420.. x20 + x53 + x83 =E= -5;
e421.. x3 + x54 + x67 =E= 0;
e422.. x7 + x9 + x37 + x68 =E= 0;
e423.. x10 + x89 =E= -2.338;
e424.. x4 + x31 + x90 =E= -5.22;
e425.. x32 + x57 =E= -0.065;
e426.. x15 + x65 + x85 =E= 0;
e427.. x38 + x50 + x86 =E= 0;
e428.. x1 + x49 =E= -0.0853;
e429.. x2 + x61 + x66 =E= 0;
e430.. x62 + x75 + x84 =E= 0;
e431.. x47 + x76 =E= -3.2;
e432.. x5 + x41 + x48 + x55 + x69 =E= -3.29;
e433.. x6 + x33 + x51 =E= 0;
e434.. x40 + x52 =E= -1.58;
e435.. x42 + x43 + x81 =E= 0;
e436.. x29 + x44 =E= -6.8;
e437.. x35 + x56 =E= -2.74;
e438.. x21 + x36 + x59 =E= 0;
e439.. x25 + x60 + x77 =E= -2.475;
e440.. x26 + x70 =E= -3.086;
e441.. x45 + x71 + x88 =E= -2.24;
e442.. x13 + x46 + x79 + x91 =E= -1.39;
e443.. x14 + x34 =E= -2.81;
e444.. x27 + x92 =E= -2.06;
e445.. x28 + x73 + x80 =E= -2.835;
e446.. x103 + x109 =E= -0.442;
e447.. x110 + x115 + x155 + x179 =E= 0;
e448.. x111 + x116 + x131 =E= -0.024;
e449.. x112 + x145 + x175 =E= -1.84;
e450.. x95 + x146 + x159 =E= 0;
e451.. x99 + x101 + x129 + x160 =E= 0;
e452.. x102 + x181 =E= -0.84;
e453.. x96 + x123 + x182 =E= -1.766;
e454.. x124 + x149 =E= 0.666;
e455.. x107 + x157 + x177 =E= 0;
e456.. x130 + x142 + x178 =E= 0;
e457.. x93 + x141 =E= -0.88;
e458.. x94 + x153 + x158 =E= 0;
e459.. x154 + x167 + x176 =E= 0;
e460.. x139 + x168 =E= -1.53;
e461.. x97 + x133 + x140 + x147 + x161 =E= -0.323;
e462.. x98 + x125 + x143 =E= 0;
e463.. x132 + x144 =E= -0.3;
e464.. x134 + x135 + x173 =E= 0;
e465.. x121 + x136 =E= -1.03;
e466.. x127 + x148 =E= -1.15;
e467.. x113 + x128 + x151 =E= 0;
e468.. x117 + x152 + x169 =E= -0.846;
e469.. x118 + x162 =E= 0.922;
e470.. x137 + x163 + x180 =E= -0.472;
e471.. x105 + x138 + x171 + x183 =E= -0.17;
e472.. x106 + x126 =E= -0.755;
e473.. x119 + x184 =E= -0.276;
e474.. x120 + x165 + x172 =E= -0.269;
Model m / all /;
m.limrow=0; m.limcol=0;
m.tolproj=0.0;
$if NOT '%gams.u1%' == '' $include '%gams.u1%'
$if not set MINLP $set MINLP MINLP
Solve m using %MINLP% minimizing objvar;
Last updated: 2025-08-07 Git hash: e62cedfc