MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance transswitch0030r

Optimal Transmission Switching problem modeled using quadratic functions (rectangular coordinates)
Formats ams gms mod nl osil pip py
Primal Bounds (infeas ≤ 1e-08)
576.89341350 p1 ( gdx sol )
(infeas: 2e-14)
574.84315860 p2 ( gdx sol )
(infeas: 8e-15)
573.91813240 p3 ( gdx sol )
(infeas: 9e-15)
Other points (infeas > 1e-08)  
Dual Bounds
0.00000000 (ANTIGONE)
0.00000000 (BARON)
0.00000000 (COUENNE)
0.00000000 (LINDO)
0.00000000 (SCIP)
0.00000000 (SHOT)
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 277
#Binary Variables 41
#Integer Variables 0
#Nonlinear Variables 271
#Nonlinear Binary Variables 41
#Nonlinear Integer Variables 0
Objective Sense min
Objective type quadratic
Objective curvature convex
#Nonzeros in Objective 6
#Nonlinear Nonzeros in Objective 6
#Constraints 391
#Linear Constraints 85
#Quadratic Constraints 142
#Polynomial Constraints 164
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 1469
#Nonlinear Nonzeros in Jacobian 1104
#Nonzeros in (Upper-Left) Hessian of Lagrangian 886
#Nonzeros in Diagonal of Hessian of Lagrangian 230
#Blocks in Hessian of Lagrangian 171
Minimal blocksize in Hessian of Lagrangian 1
Maximal blocksize in Hessian of Lagrangian 101
Average blocksize in Hessian of Lagrangian 1.584795
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 6.9204e-01
Maximal coefficient 6.2500e+02
Infeasibility of initial point 0.9025
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
*        392      226       42      124        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        278      237       41        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1476      366     1110        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,b225,b226,b227,b228,b229,b230,b231,b232,b233
          ,b234,b235,b236,b237,b238,b239,b240,b241,b242,b243,b244,b245,b246
          ,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256,b257,b258,b259
          ,b260,b261,b262,b263,b264,b265,x266,x267,x268,x269,x270,x271,x272
          ,x273,x274,x275,x276,x277,objvar;

Binary Variables  b225,b226,b227,b228,b229,b230,b231,b232,b233,b234,b235,b236
          ,b237,b238,b239,b240,b241,b242,b243,b244,b245,b246,b247,b248,b249
          ,b250,b251,b252,b253,b254,b255,b256,b257,b258,b259,b260,b261,b262
          ,b263,b264,b265;

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;


e1.. 200*sqr(x266) + 200*x266 + 175*sqr(x267) + 175*x267 + 250*sqr(x268) + 300*
     x268 + 625*sqr(x269) + 100*x269 + 250*sqr(x270) + 300*x270 + 83.4*sqr(x271
     ) + 325*x271 - objvar =E= 0;

e2.. -7.14285714285714*(x176*x207 - x177*x206)*b225 + x1 =E= 0;

e3.. -7.14285714285714*(x177*x206 - x176*x207)*b225 + x2 =E= 0;

e4.. -(0.97864768683274*(sqr(x191) + sqr(x221)) - 0.97864768683274*(x191*x193
      + x221*x223) + 1.86832740213523*(x191*x223 - x193*x221))*b226 + x3 =E= 0;

e5.. -(0.97864768683274*(sqr(x193) + sqr(x223)) - 0.97864768683274*(x193*x191
      + x223*x221) + 1.86832740213523*(x193*x221 - x191*x223))*b226 + x4 =E= 0;

e6.. -(4.10958904109589*(sqr(x170) + sqr(x200)) - 4.10958904109589*(x170*x171
      + x200*x201) + 10.958904109589*(x170*x201 - x171*x200))*b227 + x5 =E= 0;

e7.. -(4.10958904109589*(sqr(x171) + sqr(x201)) - 4.10958904109589*(x171*x170
      + x201*x200) + 10.958904109589*(x171*x200 - x170*x201))*b227 + x6 =E= 0;

e8.. -(2.48868778280543*(sqr(x178) + sqr(x208)) - 2.48868778280543*(x178*x179
      + x208*x209) + 2.26244343891403*(x178*x209 - x179*x208))*b228 + x7 =E= 0;

e9.. -(2.48868778280543*(sqr(x179) + sqr(x209)) - 2.48868778280543*(x179*x178
      + x209*x208) + 2.26244343891403*(x179*x208 - x178*x209))*b228 + x8 =E= 0;

e10.. -(2.55474452554745*(sqr(x174) + sqr(x204)) - 2.55474452554745*(x174*x186
       + x204*x216) + 5.47445255474453*(x174*x216 - x186*x204))*b229 + x9 =E= 0
      ;

e11.. -(2.55474452554745*(sqr(x186) + sqr(x216)) - 2.55474452554745*(x186*x174
       + x216*x204) + 5.47445255474453*(x186*x204 - x174*x216))*b229 + x10
       =E= 0;

e12.. -1.78571428571429*(x170*x204 - x174*x200)*b230 + x11 =E= 0;

e13.. -1.78571428571429*(x174*x200 - x170*x204)*b230 + x12 =E= 0;

e14.. -(5*(sqr(x170) + sqr(x200)) - 5*(x170*x192 + x200*x222) + 15*(x170*x222
       - x192*x200))*b231 + x13 =E= 0;

e15.. -(5*(sqr(x192) + sqr(x222)) - 5*(x192*x170 + x222*x200) + 15*(x192*x200
       - x170*x222))*b231 + x14 =E= 0;

e16.. -(5*(sqr(x165) + sqr(x195)) - 5*(x165*x166 + x195*x196) + 15*(x165*x196
       - x166*x195))*b232 + x15 =E= 0;

e17.. -(5*(sqr(x166) + sqr(x196)) - 5*(x166*x165 + x196*x195) + 15*(x166*x195
       - x165*x196))*b232 + x16 =E= 0;

e18.. -4.76190476190476*(x173*x205 - x175*x203)*b233 + x17 =E= 0;

e19.. -4.76190476190476*(x175*x203 - x173*x205)*b233 + x18 =E= 0;

e20.. -(5.88235294117647*(sqr(x167) + sqr(x197)) - 5.88235294117647*(x167*x168
       + x197*x198) + 23.5294117647059*(x167*x198 - x168*x197))*b234 + x19
       =E= 0;

e21.. -(5.88235294117647*(sqr(x168) + sqr(x198)) - 5.88235294117647*(x168*x167
       + x198*x197) + 23.5294117647059*(x168*x197 - x167*x198))*b234 + x20
       =E= 0;

e22.. -(1.46341463414634*(sqr(x176) + sqr(x206)) - 1.46341463414634*(x176*x178
       + x206*x208) + 3.17073170731707*(x176*x208 - x178*x206))*b235 + x21
       =E= 0;

e23.. -(1.46341463414634*(sqr(x178) + sqr(x208)) - 1.46341463414634*(x178*x176
       + x208*x206) + 3.17073170731707*(x178*x206 - x176*x208))*b235 + x22
       =E= 0;

e24.. -(1.31034482758621*(sqr(x188) + sqr(x218)) - 1.31034482758621*(x188*x189
       + x218*x219) + 2.27586206896552*(x188*x219 - x189*x218))*b236 + x23
       =E= 0;

e25.. -(1.31034482758621*(sqr(x189) + sqr(x219)) - 1.31034482758621*(x189*x188
       + x219*x218) + 2.27586206896552*(x189*x218 - x188*x219))*b236 + x24
       =E= 0;

e26.. -(1.44766146993318*(sqr(x187) + sqr(x217)) - 1.44766146993318*(x187*x188
       + x217*x218) + 3.00668151447661*(x187*x218 - x188*x217))*b237 + x25
       =E= 0;

e27.. -(1.44766146993318*(sqr(x188) + sqr(x218)) - 1.44766146993318*(x188*x187
       + x218*x217) + 3.00668151447661*(x188*x217 - x187*x218))*b237 + x26
       =E= 0;

e28.. -(1.17647058823529*(sqr(x166) + sqr(x196)) - 1.17647058823529*(x166*x169
       + x196*x199) + 4.70588235294118*(x166*x199 - x169*x196))*b238 + x27
       =E= 0;

e29.. -(1.17647058823529*(sqr(x169) + sqr(x199)) - 1.17647058823529*(x169*x166
       + x199*x196) + 4.70588235294118*(x169*x196 - x166*x199))*b238 + x28
       =E= 0;

e30.. -(5.17241379310345*(sqr(x183) + sqr(x213)) - 5.17241379310345*(x183*x184
       + x213*x214) + 12.0689655172414*(x183*x214 - x184*x213))*b239 + x29
       =E= 0;

e31.. -(5.17241379310345*(sqr(x184) + sqr(x214)) - 5.17241379310345*(x184*x183
       + x214*x213) + 12.0689655172414*(x184*x213 - x183*x214))*b239 + x30
       =E= 0;

e32.. -3.84615384615385*(x168*x206 - x176*x198)*b240 + x31 =E= 0;

e33.. -3.84615384615385*(x176*x198 - x168*x206)*b240 + x32 =E= 0;

e34.. -(5.17241379310345*(sqr(x174) + sqr(x204)) - 5.17241379310345*(x174*x185
       + x204*x215) + 12.0689655172414*(x174*x215 - x185*x204))*b241 + x33
       =E= 0;

e35.. -(5.17241379310345*(sqr(x185) + sqr(x215)) - 5.17241379310345*(x185*x174
       + x215*x204) + 12.0689655172414*(x185*x204 - x174*x215))*b241 + x34
       =E= 0;

e36.. -9.09090909090909*(x173*x204 - x174*x203)*b242 + x35 =E= 0;

e37.. -9.09090909090909*(x174*x203 - x173*x204)*b242 + x36 =E= 0;

e38.. -(3.21100917431193*(sqr(x176) + sqr(x206)) - 3.21100917431193*(x176*x179
       + x206*x209) + 5.96330275229358*(x176*x209 - x179*x206))*b243 + x37
       =E= 0;

e39.. -(3.21100917431193*(sqr(x179) + sqr(x209)) - 3.21100917431193*(x179*x176
       + x209*x206) + 5.96330275229358*(x179*x206 - x176*x209))*b243 + x38
       =E= 0;

e40.. -(2.92682926829268*(sqr(x182) + sqr(x212)) - 2.92682926829268*(x182*x183
       + x212*x213) + 6.34146341463415*(x182*x213 - x183*x212))*b244 + x39
       =E= 0;

e41.. -(2.92682926829268*(sqr(x183) + sqr(x213)) - 2.92682926829268*(x183*x182
       + x213*x212) + 6.34146341463415*(x183*x212 - x182*x213))*b244 + x40
       =E= 0;

e42.. -2.5*(x192*x221 - x191*x222)*b245 + x41 =E= 0;

e43.. -2.5*(x191*x222 - x192*x221)*b245 + x42 =E= 0;

e44.. -(5.88235294117647*(sqr(x170) + sqr(x200)) - 5.88235294117647*(x170*x172
       + x200*x202) + 23.5294117647059*(x170*x202 - x172*x200))*b246 + x43
       =E= 0;

e45.. -(5.88235294117647*(sqr(x172) + sqr(x202)) - 5.88235294117647*(x172*x170
       + x202*x200) + 23.5294117647059*(x172*x200 - x170*x202))*b246 + x44
       =E= 0;

e46.. -(1.95729537366548*(sqr(x189) + sqr(x219)) - 1.95729537366548*(x189*x191
       + x219*x221) + 3.73665480427046*(x189*x221 - x191*x219))*b247 + x45
       =E= 0;

e47.. -(1.95729537366548*(sqr(x191) + sqr(x221)) - 1.95729537366548*(x191*x189
       + x221*x219) + 3.73665480427046*(x191*x219 - x189*x221))*b247 + x46
       =E= 0;

e48.. -(2.95857988165681*(sqr(x169) + sqr(x199)) - 2.95857988165681*(x169*x171
       + x199*x201) + 7.10059171597633*(x169*x201 - x171*x199))*b248 + x47
       =E= 0;

e49.. -(2.95857988165681*(sqr(x171) + sqr(x201)) - 2.95857988165681*(x171*x169
       + x201*x199) + 7.10059171597633*(x171*x199 - x169*x201))*b248 + x48
       =E= 0;

e50.. -(20*(sqr(x185) + sqr(x215)) - 20*(x185*x186 + x215*x216) + 40*(x185*x216
       - x186*x215))*b249 + x49 =E= 0;

e51.. -(20*(sqr(x186) + sqr(x216)) - 20*(x186*x185 + x216*x215) + 40*(x186*x215
       - x185*x216))*b249 + x50 =E= 0;

e52.. -(5.88235294117647*(sqr(x168) + sqr(x198)) - 5.88235294117647*(x168*x170
       + x198*x200) + 23.5294117647059*(x168*x200 - x170*x198))*b250 + x51
       =E= 0;

e53.. -(5.88235294117647*(sqr(x170) + sqr(x200)) - 5.88235294117647*(x170*x168
       + x200*x198) + 23.5294117647059*(x170*x198 - x168*x200))*b250 + x52
       =E= 0;

e54.. -(1.72413793103448*(sqr(x174) + sqr(x204)) - 1.72413793103448*(x174*x184
       + x204*x214) + 4.02298850574713*(x174*x214 - x184*x204))*b251 + x53
       =E= 0;

e55.. -(1.72413793103448*(sqr(x184) + sqr(x214)) - 1.72413793103448*(x184*x174
       + x214*x204) + 4.02298850574713*(x184*x204 - x174*x214))*b251 + x54
       =E= 0;

e56.. -(2.56410256410256*(sqr(x186) + sqr(x216)) - 2.56410256410256*(x186*x188
       + x216*x218) + 3.84615384615385*(x186*x218 - x188*x216))*b252 + x55
       =E= 0;

e57.. -(2.56410256410256*(sqr(x188) + sqr(x218)) - 2.56410256410256*(x188*x186
       + x218*x216) + 3.84615384615385*(x188*x216 - x186*x218))*b252 + x56
       =E= 0;

e58.. -(0.69204152249135*(sqr(x191) + sqr(x221)) - 0.69204152249135*(x191*x194
       + x221*x224) + 1.29757785467128*(x191*x224 - x194*x221))*b253 + x57
       =E= 0;

e59.. -(0.69204152249135*(sqr(x194) + sqr(x224)) - 0.69204152249135*(x194*x191
       + x224*x221) + 1.29757785467128*(x194*x221 - x191*x224))*b253 + x58
       =E= 0;

e60.. -(4.10958904109589*(sqr(x174) + sqr(x204)) - 4.10958904109589*(x174*x181
       + x204*x211) + 10.958904109589*(x174*x211 - x181*x204))*b254 + x59 =E= 0
      ;

e61.. -(4.10958904109589*(sqr(x181) + sqr(x211)) - 4.10958904109589*(x181*x174
       + x211*x204) + 10.958904109589*(x181*x204 - x174*x211))*b254 + x60 =E= 0
      ;

e62.. -(1.37614678899083*(sqr(x172) + sqr(x202)) - 1.37614678899083*(x172*x192
       + x202*x222) + 4.58715596330275*(x172*x222 - x192*x202))*b255 + x61
       =E= 0;

e63.. -(1.37614678899083*(sqr(x192) + sqr(x222)) - 1.37614678899083*(x192*x172
       + x222*x202) + 4.58715596330275*(x192*x202 - x172*x222))*b255 + x62
       =E= 0;

e64.. -(1.87110187110187*(sqr(x176) + sqr(x206)) - 1.87110187110187*(x176*x180
       + x206*x210) + 4.15800415800416*(x176*x210 - x180*x206))*b256 + x63
       =E= 0;

e65.. -(1.87110187110187*(sqr(x180) + sqr(x210)) - 1.87110187110187*(x180*x176
       + x210*x206) + 4.15800415800416*(x180*x206 - x176*x210))*b256 + x64
       =E= 0;

e66.. -4.76190476190476*(x170*x203 - x173*x200)*b257 + x65 =E= 0;

e67.. -4.76190476190476*(x173*x200 - x170*x203)*b257 + x66 =E= 0;

e68.. -(2*(sqr(x179) + sqr(x209)) - 2*(x179*x187 + x209*x217) + 4*(x179*x217 - 
      x187*x209))*b258 + x67 =E= 0;

e69.. -(2*(sqr(x187) + sqr(x217)) - 2*(x187*x179 + x217*x209) + 4*(x187*x209 - 
      x179*x217))*b258 + x68 =E= 0;

e70.. -(1.20831319478009*(sqr(x189) + sqr(x219)) - 1.20831319478009*(x189*x190
       + x219*x220) + 1.83663605606573*(x189*x220 - x190*x219))*b259 + x69
       =E= 0;

e71.. -(1.20831319478009*(sqr(x190) + sqr(x220)) - 1.20831319478009*(x190*x189
       + x220*x219) + 1.83663605606573*(x190*x219 - x189*x220))*b259 + x70
       =E= 0;

e72.. -(1.81818181818182*(sqr(x179) + sqr(x209)) - 1.81818181818182*(x179*x182
       + x209*x212) + 3.63636363636364*(x179*x212 - x182*x209))*b260 + x71
       =E= 0;

e73.. -(1.81818181818182*(sqr(x182) + sqr(x212)) - 1.81818181818182*(x182*x179
       + x212*x209) + 3.63636363636364*(x182*x209 - x179*x212))*b260 + x72
       =E= 0;

e74.. -(1.88235294117647*(sqr(x180) + sqr(x210)) - 1.88235294117647*(x180*x181
       + x210*x211) + 4.47058823529412*(x180*x211 - x181*x210))*b261 + x73
       =E= 0;

e75.. -(1.88235294117647*(sqr(x181) + sqr(x211)) - 1.88235294117647*(x181*x180
       + x211*x210) + 4.47058823529412*(x181*x210 - x180*x211))*b261 + x74
       =E= 0;

e76.. -(1.66666666666667*(sqr(x166) + sqr(x196)) - 1.66666666666667*(x166*x170
       + x196*x200) + 5*(x166*x200 - x170*x196))*b262 + x75 =E= 0;

e77.. -(1.66666666666667*(sqr(x170) + sqr(x200)) - 1.66666666666667*(x170*x166
       + x200*x196) + 5*(x170*x196 - x166*x200))*b262 + x76 =E= 0;

e78.. -(1.84615384615385*(sqr(x166) + sqr(x196)) - 1.84615384615385*(x166*x168
       + x196*x198) + 5.23076923076923*(x166*x198 - x168*x196))*b263 + x77
       =E= 0;

e79.. -(1.84615384615385*(sqr(x168) + sqr(x198)) - 1.84615384615385*(x168*x166
       + x198*x196) + 5.23076923076923*(x168*x196 - x166*x198))*b263 + x78
       =E= 0;

e80.. -(1.29533678756477*(sqr(x165) + sqr(x195)) - 1.29533678756477*(x165*x167
       + x195*x197) + 4.92227979274611*(x165*x197 - x167*x195))*b264 + x79
       =E= 0;

e81.. -(1.29533678756477*(sqr(x167) + sqr(x197)) - 1.29533678756477*(x167*x165
       + x197*x195) + 4.92227979274611*(x167*x195 - x165*x197))*b264 + x80
       =E= 0;

e82.. -(0.922722029988466*(sqr(x193) + sqr(x223)) - 0.922722029988466*(x193*
      x194 + x223*x224) + 1.73010380622837*(x193*x224 - x194*x223))*b265 + x81
       =E= 0;

e83.. -(0.922722029988466*(sqr(x194) + sqr(x224)) - 0.922722029988466*(x194*
      x193 + x224*x223) + 1.73010380622837*(x194*x223 - x193*x224))*b265 + x82
       =E= 0;

e84.. -(7.14285714285714*(sqr(x176) + sqr(x206)) - 7.14285714285714*(x176*x177
       + x206*x207))*b225 + x83 =E= 0;

e85.. -(7.14285714285714*(sqr(x177) + sqr(x207)) - 7.14285714285714*(x177*x176
       + x207*x206))*b225 + x84 =E= 0;

e86.. -(1.86832740213523*(sqr(x191) + sqr(x221)) - 1.86832740213523*(x191*x193
       + x221*x223) - 0.97864768683274*(x191*x223 - x193*x221))*b226 + x85
       =E= 0;

e87.. -(1.86832740213523*(sqr(x193) + sqr(x223)) - 1.86832740213523*(x193*x191
       + x223*x221) - 0.97864768683274*(x193*x221 - x191*x223))*b226 + x86
       =E= 0;

e88.. -(10.953904109589*(sqr(x170) + sqr(x200)) - 10.958904109589*(x170*x171 + 
      x200*x201) - 4.10958904109589*(x170*x201 - x171*x200))*b227 + x87 =E= 0;

e89.. -(10.953904109589*(sqr(x171) + sqr(x201)) - 10.958904109589*(x171*x170 + 
      x201*x200) - 4.10958904109589*(x171*x200 - x170*x201))*b227 + x88 =E= 0;

e90.. -(2.26244343891403*(sqr(x178) + sqr(x208)) - 2.26244343891403*(x178*x179
       + x208*x209) - 2.48868778280543*(x178*x209 - x179*x208))*b228 + x89
       =E= 0;

e91.. -(2.26244343891403*(sqr(x179) + sqr(x209)) - 2.26244343891403*(x179*x178
       + x209*x208) - 2.48868778280543*(x179*x208 - x178*x209))*b228 + x90
       =E= 0;

e92.. -(5.47445255474453*(sqr(x174) + sqr(x204)) - 5.47445255474453*(x174*x186
       + x204*x216) - 2.55474452554745*(x174*x216 - x186*x204))*b229 + x91
       =E= 0;

e93.. -(5.47445255474453*(sqr(x186) + sqr(x216)) - 5.47445255474453*(x186*x174
       + x216*x204) - 2.55474452554745*(x186*x204 - x174*x216))*b229 + x92
       =E= 0;

e94.. -(1.78571428571429*(sqr(x170) + sqr(x200)) - 1.78571428571429*(x170*x174
       + x200*x204))*b230 + x93 =E= 0;

e95.. -(1.78571428571429*(sqr(x174) + sqr(x204)) - 1.78571428571429*(x174*x170
       + x204*x200))*b230 + x94 =E= 0;

e96.. -(14.995*(sqr(x170) + sqr(x200)) - 15*(x170*x192 + x200*x222) - 5*(x170*
      x222 - x192*x200))*b231 + x95 =E= 0;

e97.. -(14.995*(sqr(x192) + sqr(x222)) - 15*(x192*x170 + x222*x200) - 5*(x192*
      x200 - x170*x222))*b231 + x96 =E= 0;

e98.. -(14.985*(sqr(x165) + sqr(x195)) - 15*(x165*x166 + x195*x196) - 5*(x165*
      x196 - x166*x195))*b232 + x97 =E= 0;

e99.. -(14.985*(sqr(x166) + sqr(x196)) - 15*(x166*x165 + x196*x195) - 5*(x166*
      x195 - x165*x196))*b232 + x98 =E= 0;

e100.. -(4.76190476190476*(sqr(x173) + sqr(x203)) - 4.76190476190476*(x173*x175
        + x203*x205))*b233 + x99 =E= 0;

e101.. -(4.76190476190476*(sqr(x175) + sqr(x205)) - 4.76190476190476*(x175*x173
        + x205*x203))*b233 + x100 =E= 0;

e102.. -(23.5294117647059*(sqr(x167) + sqr(x197)) - 23.5294117647059*(x167*x168
        + x197*x198) - 5.88235294117647*(x167*x198 - x168*x197))*b234 + x101
        =E= 0;

e103.. -(23.5294117647059*(sqr(x168) + sqr(x198)) - 23.5294117647059*(x168*x167
        + x198*x197) - 5.88235294117647*(x168*x197 - x167*x198))*b234 + x102
        =E= 0;

e104.. -(3.17073170731707*(sqr(x176) + sqr(x206)) - 3.17073170731707*(x176*x178
        + x206*x208) - 1.46341463414634*(x176*x208 - x178*x206))*b235 + x103
        =E= 0;

e105.. -(3.17073170731707*(sqr(x178) + sqr(x208)) - 3.17073170731707*(x178*x176
        + x208*x206) - 1.46341463414634*(x178*x206 - x176*x208))*b235 + x104
        =E= 0;

e106.. -(2.27586206896552*(sqr(x188) + sqr(x218)) - 2.27586206896552*(x188*x189
        + x218*x219) - 1.31034482758621*(x188*x219 - x189*x218))*b236 + x105
        =E= 0;

e107.. -(2.27586206896552*(sqr(x189) + sqr(x219)) - 2.27586206896552*(x189*x188
        + x219*x218) - 1.31034482758621*(x189*x218 - x188*x219))*b236 + x106
        =E= 0;

e108.. -(3.00668151447661*(sqr(x187) + sqr(x217)) - 3.00668151447661*(x187*x188
        + x217*x218) - 1.44766146993318*(x187*x218 - x188*x217))*b237 + x107
        =E= 0;

e109.. -(3.00668151447661*(sqr(x188) + sqr(x218)) - 3.00668151447661*(x188*x187
        + x218*x217) - 1.44766146993318*(x188*x217 - x187*x218))*b237 + x108
        =E= 0;

e110.. -(4.69588235294118*(sqr(x166) + sqr(x196)) - 4.70588235294118*(x166*x169
        + x196*x199) - 1.17647058823529*(x166*x199 - x169*x196))*b238 + x109
        =E= 0;

e111.. -(4.69588235294118*(sqr(x169) + sqr(x199)) - 4.70588235294118*(x169*x166
        + x199*x196) - 1.17647058823529*(x169*x196 - x166*x199))*b238 + x110
        =E= 0;

e112.. -(12.0689655172414*(sqr(x183) + sqr(x213)) - 12.0689655172414*(x183*x184
        + x213*x214) - 5.17241379310345*(x183*x214 - x184*x213))*b239 + x111
        =E= 0;

e113.. -(12.0689655172414*(sqr(x184) + sqr(x214)) - 12.0689655172414*(x184*x183
        + x214*x213) - 5.17241379310345*(x184*x213 - x183*x214))*b239 + x112
        =E= 0;

e114.. -(3.84615384615385*(sqr(x168) + sqr(x198)) - 3.84615384615385*(x168*x176
        + x198*x206))*b240 + x113 =E= 0;

e115.. -(3.84615384615385*(sqr(x176) + sqr(x206)) - 3.84615384615385*(x176*x168
        + x206*x198))*b240 + x114 =E= 0;

e116.. -(12.0689655172414*(sqr(x174) + sqr(x204)) - 12.0689655172414*(x174*x185
        + x204*x215) - 5.17241379310345*(x174*x215 - x185*x204))*b241 + x115
        =E= 0;

e117.. -(12.0689655172414*(sqr(x185) + sqr(x215)) - 12.0689655172414*(x185*x174
        + x215*x204) - 5.17241379310345*(x185*x204 - x174*x215))*b241 + x116
        =E= 0;

e118.. -(9.09090909090909*(sqr(x173) + sqr(x203)) - 9.09090909090909*(x173*x174
        + x203*x204))*b242 + x117 =E= 0;

e119.. -(9.09090909090909*(sqr(x174) + sqr(x204)) - 9.09090909090909*(x174*x173
        + x204*x203))*b242 + x118 =E= 0;

e120.. -(5.96330275229358*(sqr(x176) + sqr(x206)) - 5.96330275229358*(x176*x179
        + x206*x209) - 3.21100917431193*(x176*x209 - x179*x206))*b243 + x119
        =E= 0;

e121.. -(5.96330275229358*(sqr(x179) + sqr(x209)) - 5.96330275229358*(x179*x176
        + x209*x206) - 3.21100917431193*(x179*x206 - x176*x209))*b243 + x120
        =E= 0;

e122.. -(6.34146341463415*(sqr(x182) + sqr(x212)) - 6.34146341463415*(x182*x183
        + x212*x213) - 2.92682926829268*(x182*x213 - x183*x212))*b244 + x121
        =E= 0;

e123.. -(6.34146341463415*(sqr(x183) + sqr(x213)) - 6.34146341463415*(x183*x182
        + x213*x212) - 2.92682926829268*(x183*x212 - x182*x213))*b244 + x122
        =E= 0;

e124.. -(2.5*(sqr(x192) + sqr(x222)) - 2.5*(x192*x191 + x222*x221))*b245 + x123
        =E= 0;

e125.. -(2.5*(sqr(x191) + sqr(x221)) - 2.5*(x191*x192 + x221*x222))*b245 + x124
        =E= 0;

e126.. -(23.5294117647059*(sqr(x170) + sqr(x200)) - 23.5294117647059*(x170*x172
        + x200*x202) - 5.88235294117647*(x170*x202 - x172*x200))*b246 + x125
        =E= 0;

e127.. -(23.5294117647059*(sqr(x172) + sqr(x202)) - 23.5294117647059*(x172*x170
        + x202*x200) - 5.88235294117647*(x172*x200 - x170*x202))*b246 + x126
        =E= 0;

e128.. -(3.73665480427046*(sqr(x189) + sqr(x219)) - 3.73665480427046*(x189*x191
        + x219*x221) - 1.95729537366548*(x189*x221 - x191*x219))*b247 + x127
        =E= 0;

e129.. -(3.73665480427046*(sqr(x191) + sqr(x221)) - 3.73665480427046*(x191*x189
        + x221*x219) - 1.95729537366548*(x191*x219 - x189*x221))*b247 + x128
        =E= 0;

e130.. -(7.09559171597633*(sqr(x169) + sqr(x199)) - 7.10059171597633*(x169*x171
        + x199*x201) - 2.95857988165681*(x169*x201 - x171*x199))*b248 + x129
        =E= 0;

e131.. -(7.09559171597633*(sqr(x171) + sqr(x201)) - 7.10059171597633*(x171*x169
        + x201*x199) - 2.95857988165681*(x171*x199 - x169*x201))*b248 + x130
        =E= 0;

e132.. -(40*(sqr(x185) + sqr(x215)) - 40*(x185*x186 + x215*x216) - 20*(x185*
       x216 - x186*x215))*b249 + x131 =E= 0;

e133.. -(40*(sqr(x186) + sqr(x216)) - 40*(x186*x185 + x216*x215) - 20*(x186*
       x215 - x185*x216))*b249 + x132 =E= 0;

e134.. -(23.5294117647059*(sqr(x168) + sqr(x198)) - 23.5294117647059*(x168*x170
        + x198*x200) - 5.88235294117647*(x168*x200 - x170*x198))*b250 + x133
        =E= 0;

e135.. -(23.5294117647059*(sqr(x170) + sqr(x200)) - 23.5294117647059*(x170*x168
        + x200*x198) - 5.88235294117647*(x170*x198 - x168*x200))*b250 + x134
        =E= 0;

e136.. -(4.02298850574713*(sqr(x174) + sqr(x204)) - 4.02298850574713*(x174*x184
        + x204*x214) - 1.72413793103448*(x174*x214 - x184*x204))*b251 + x135
        =E= 0;

e137.. -(4.02298850574713*(sqr(x184) + sqr(x214)) - 4.02298850574713*(x184*x174
        + x214*x204) - 1.72413793103448*(x184*x204 - x174*x214))*b251 + x136
        =E= 0;

e138.. -(3.84615384615385*(sqr(x186) + sqr(x216)) - 3.84615384615385*(x186*x188
        + x216*x218) - 2.56410256410256*(x186*x218 - x188*x216))*b252 + x137
        =E= 0;

e139.. -(3.84615384615385*(sqr(x188) + sqr(x218)) - 3.84615384615385*(x188*x186
        + x218*x216) - 2.56410256410256*(x188*x216 - x186*x218))*b252 + x138
        =E= 0;

e140.. -(1.29757785467128*(sqr(x191) + sqr(x221)) - 1.29757785467128*(x191*x194
        + x221*x224) - 0.69204152249135*(x191*x224 - x194*x221))*b253 + x139
        =E= 0;

e141.. -(1.29757785467128*(sqr(x194) + sqr(x224)) - 1.29757785467128*(x194*x191
        + x224*x221) - 0.69204152249135*(x194*x221 - x191*x224))*b253 + x140
        =E= 0;

e142.. -(10.958904109589*(sqr(x174) + sqr(x204)) - 10.958904109589*(x174*x181
        + x204*x211) - 4.10958904109589*(x174*x211 - x181*x204))*b254 + x141
        =E= 0;

e143.. -(10.958904109589*(sqr(x181) + sqr(x211)) - 10.958904109589*(x181*x174
        + x211*x204) - 4.10958904109589*(x181*x204 - x174*x211))*b254 + x142
        =E= 0;

e144.. -(4.57715596330275*(sqr(x172) + sqr(x202)) - 4.58715596330275*(x172*x192
        + x202*x222) - 1.37614678899083*(x172*x222 - x192*x202))*b255 + x143
        =E= 0;

e145.. -(4.57715596330275*(sqr(x192) + sqr(x222)) - 4.58715596330275*(x192*x172
        + x222*x202) - 1.37614678899083*(x192*x202 - x172*x222))*b255 + x144
        =E= 0;

e146.. -(4.15800415800416*(sqr(x176) + sqr(x206)) - 4.15800415800416*(x176*x180
        + x206*x210) - 1.87110187110187*(x176*x210 - x180*x206))*b256 + x145
        =E= 0;

e147.. -(4.15800415800416*(sqr(x180) + sqr(x210)) - 4.15800415800416*(x180*x176
        + x210*x206) - 1.87110187110187*(x180*x206 - x176*x210))*b256 + x146
        =E= 0;

e148.. -(4.76190476190476*(sqr(x170) + sqr(x200)) - 4.76190476190476*(x170*x173
        + x200*x203))*b257 + x147 =E= 0;

e149.. -(4.76190476190476*(sqr(x173) + sqr(x203)) - 4.76190476190476*(x173*x170
        + x203*x200))*b257 + x148 =E= 0;

e150.. -(4*(sqr(x179) + sqr(x209)) - 4*(x179*x187 + x209*x217) - 2*(x179*x217
        - x187*x209))*b258 + x149 =E= 0;

e151.. -(4*(sqr(x187) + sqr(x217)) - 4*(x187*x179 + x217*x209) - 2*(x187*x209
        - x179*x217))*b258 + x150 =E= 0;

e152.. -(1.83663605606573*(sqr(x189) + sqr(x219)) - 1.83663605606573*(x189*x190
        + x219*x220) - 1.20831319478009*(x189*x220 - x190*x219))*b259 + x151
        =E= 0;

e153.. -(1.83663605606573*(sqr(x190) + sqr(x220)) - 1.83663605606573*(x190*x189
        + x220*x219) - 1.20831319478009*(x190*x219 - x189*x220))*b259 + x152
        =E= 0;

e154.. -(3.63636363636364*(sqr(x179) + sqr(x209)) - 3.63636363636364*(x179*x182
        + x209*x212) - 1.81818181818182*(x179*x212 - x182*x209))*b260 + x153
        =E= 0;

e155.. -(3.63636363636364*(sqr(x182) + sqr(x212)) - 3.63636363636364*(x182*x179
        + x212*x209) - 1.81818181818182*(x182*x209 - x179*x212))*b260 + x154
        =E= 0;

e156.. -(4.47058823529412*(sqr(x180) + sqr(x210)) - 4.47058823529412*(x180*x181
        + x210*x211) - 1.88235294117647*(x180*x211 - x181*x210))*b261 + x155
        =E= 0;

e157.. -(4.47058823529412*(sqr(x181) + sqr(x211)) - 4.47058823529412*(x181*x180
        + x211*x210) - 1.88235294117647*(x181*x210 - x180*x211))*b261 + x156
        =E= 0;

e158.. -(4.99*(sqr(x166) + sqr(x196)) - 5*(x166*x170 + x196*x200) - 
       1.66666666666667*(x166*x200 - x170*x196))*b262 + x157 =E= 0;

e159.. -(4.99*(sqr(x170) + sqr(x200)) - 5*(x170*x166 + x200*x196) - 
       1.66666666666667*(x170*x196 - x166*x200))*b262 + x158 =E= 0;

e160.. -(5.22076923076923*(sqr(x166) + sqr(x196)) - 5.23076923076923*(x166*x168
        + x196*x198) - 1.84615384615385*(x166*x198 - x168*x196))*b263 + x159
        =E= 0;

e161.. -(5.22076923076923*(sqr(x168) + sqr(x198)) - 5.23076923076923*(x168*x166
        + x198*x196) - 1.84615384615385*(x168*x196 - x166*x198))*b263 + x160
        =E= 0;

e162.. -(4.91227979274611*(sqr(x165) + sqr(x195)) - 4.92227979274611*(x165*x167
        + x195*x197) - 1.29533678756477*(x165*x197 - x167*x195))*b264 + x161
        =E= 0;

e163.. -(4.91227979274611*(sqr(x167) + sqr(x197)) - 4.92227979274611*(x167*x165
        + x197*x195) - 1.29533678756477*(x167*x195 - x165*x197))*b264 + x162
        =E= 0;

e164.. -(1.73010380622837*(sqr(x193) + sqr(x223)) - 1.73010380622837*(x193*x194
        + x223*x224) - 0.922722029988466*(x193*x224 - x194*x223))*b265 + x163
        =E= 0;

e165.. -(1.73010380622837*(sqr(x194) + sqr(x224)) - 1.73010380622837*(x194*x193
        + x224*x223) - 0.922722029988466*(x194*x223 - x193*x224))*b265 + x164
        =E= 0;

e166.. sqr(x1) + sqr(x83) =L= 0.4225;

e167.. sqr(x2) + sqr(x84) =L= 0.4225;

e168.. sqr(x3) + sqr(x85) =L= 0.0256;

e169.. sqr(x4) + sqr(x86) =L= 0.0256;

e170.. sqr(x5) + sqr(x87) =L= 1.69;

e171.. sqr(x6) + sqr(x88) =L= 1.69;

e172.. sqr(x7) + sqr(x89) =L= 0.0256;

e173.. sqr(x8) + sqr(x90) =L= 0.0256;

e174.. sqr(x9) + sqr(x91) =L= 0.1024;

e175.. sqr(x10) + sqr(x92) =L= 0.1024;

e176.. sqr(x11) + sqr(x93) =L= 0.1024;

e177.. sqr(x12) + sqr(x94) =L= 0.1024;

e178.. sqr(x13) + sqr(x95) =L= 0.1024;

e179.. sqr(x14) + sqr(x96) =L= 0.1024;

e180.. sqr(x15) + sqr(x97) =L= 1.69;

e181.. sqr(x16) + sqr(x98) =L= 1.69;

e182.. sqr(x17) + sqr(x99) =L= 0.4225;

e183.. sqr(x18) + sqr(x100) =L= 0.4225;

e184.. sqr(x19) + sqr(x101) =L= 1.69;

e185.. sqr(x20) + sqr(x102) =L= 1.69;

e186.. sqr(x21) + sqr(x103) =L= 0.1024;

e187.. sqr(x22) + sqr(x104) =L= 0.1024;

e188.. sqr(x23) + sqr(x105) =L= 0.0256;

e189.. sqr(x24) + sqr(x106) =L= 0.0256;

e190.. sqr(x25) + sqr(x107) =L= 0.0256;

e191.. sqr(x26) + sqr(x108) =L= 0.0256;

e192.. sqr(x27) + sqr(x109) =L= 1.69;

e193.. sqr(x28) + sqr(x110) =L= 1.69;

e194.. sqr(x29) + sqr(x111) =L= 0.1024;

e195.. sqr(x30) + sqr(x112) =L= 0.1024;

e196.. sqr(x31) + sqr(x113) =L= 0.4225;

e197.. sqr(x32) + sqr(x114) =L= 0.4225;

e198.. sqr(x33) + sqr(x115) =L= 0.1024;

e199.. sqr(x34) + sqr(x116) =L= 0.1024;

e200.. sqr(x35) + sqr(x117) =L= 0.4225;

e201.. sqr(x36) + sqr(x118) =L= 0.4225;

e202.. sqr(x37) + sqr(x119) =L= 0.1024;

e203.. sqr(x38) + sqr(x120) =L= 0.1024;

e204.. sqr(x39) + sqr(x121) =L= 0.0256;

e205.. sqr(x40) + sqr(x122) =L= 0.0256;

e206.. sqr(x41) + sqr(x123) =L= 0.4225;

e207.. sqr(x42) + sqr(x124) =L= 0.4225;

e208.. sqr(x43) + sqr(x125) =L= 0.1024;

e209.. sqr(x44) + sqr(x126) =L= 0.1024;

e210.. sqr(x45) + sqr(x127) =L= 0.0256;

e211.. sqr(x46) + sqr(x128) =L= 0.0256;

e212.. sqr(x47) + sqr(x129) =L= 0.49;

e213.. sqr(x48) + sqr(x130) =L= 0.49;

e214.. sqr(x49) + sqr(x131) =L= 0.1024;

e215.. sqr(x50) + sqr(x132) =L= 0.1024;

e216.. sqr(x51) + sqr(x133) =L= 0.81;

e217.. sqr(x52) + sqr(x134) =L= 0.81;

e218.. sqr(x53) + sqr(x135) =L= 0.1024;

e219.. sqr(x54) + sqr(x136) =L= 0.1024;

e220.. sqr(x55) + sqr(x137) =L= 0.0256;

e221.. sqr(x56) + sqr(x138) =L= 0.0256;

e222.. sqr(x57) + sqr(x139) =L= 0.0256;

e223.. sqr(x58) + sqr(x140) =L= 0.0256;

e224.. sqr(x59) + sqr(x141) =L= 0.1024;

e225.. sqr(x60) + sqr(x142) =L= 0.1024;

e226.. sqr(x61) + sqr(x143) =L= 0.1024;

e227.. sqr(x62) + sqr(x144) =L= 0.1024;

e228.. sqr(x63) + sqr(x145) =L= 0.1024;

e229.. sqr(x64) + sqr(x146) =L= 0.1024;

e230.. sqr(x65) + sqr(x147) =L= 0.4225;

e231.. sqr(x66) + sqr(x148) =L= 0.4225;

e232.. sqr(x67) + sqr(x149) =L= 0.0256;

e233.. sqr(x68) + sqr(x150) =L= 0.0256;

e234.. sqr(x69) + sqr(x151) =L= 0.0256;

e235.. sqr(x70) + sqr(x152) =L= 0.0256;

e236.. sqr(x71) + sqr(x153) =L= 0.0256;

e237.. sqr(x72) + sqr(x154) =L= 0.0256;

e238.. sqr(x73) + sqr(x155) =L= 0.0256;

e239.. sqr(x74) + sqr(x156) =L= 0.0256;

e240.. sqr(x75) + sqr(x157) =L= 0.4225;

e241.. sqr(x76) + sqr(x158) =L= 0.4225;

e242.. sqr(x77) + sqr(x159) =L= 0.4225;

e243.. sqr(x78) + sqr(x160) =L= 0.4225;

e244.. sqr(x79) + sqr(x161) =L= 1.69;

e245.. sqr(x80) + sqr(x162) =L= 1.69;

e246.. sqr(x81) + sqr(x163) =L= 0.0256;

e247.. sqr(x82) + sqr(x164) =L= 0.0256;

e248.. sqr(x165) + sqr(x195) =L= 1.1025;

e249.. sqr(x166) + sqr(x196) =L= 1.21;

e250.. sqr(x167) + sqr(x197) =L= 1.1025;

e251.. sqr(x168) + sqr(x198) =L= 1.1025;

e252.. sqr(x169) + sqr(x199) =L= 1.1025;

e253.. sqr(x170) + sqr(x200) =L= 1.1025;

e254.. sqr(x171) + sqr(x201) =L= 1.1025;

e255.. sqr(x172) + sqr(x202) =L= 1.1025;

e256.. sqr(x173) + sqr(x203) =L= 1.1025;

e257.. sqr(x174) + sqr(x204) =L= 1.1025;

e258.. sqr(x175) + sqr(x205) =L= 1.1025;

e259.. sqr(x176) + sqr(x206) =L= 1.1025;

e260.. sqr(x177) + sqr(x207) =L= 1.21;

e261.. sqr(x178) + sqr(x208) =L= 1.1025;

e262.. sqr(x179) + sqr(x209) =L= 1.1025;

e263.. sqr(x180) + sqr(x210) =L= 1.1025;

e264.. sqr(x181) + sqr(x211) =L= 1.1025;

e265.. sqr(x182) + sqr(x212) =L= 1.1025;

e266.. sqr(x183) + sqr(x213) =L= 1.1025;

e267.. sqr(x184) + sqr(x214) =L= 1.1025;

e268.. sqr(x185) + sqr(x215) =L= 1.1025;

e269.. sqr(x186) + sqr(x216) =L= 1.21;

e270.. sqr(x187) + sqr(x217) =L= 1.21;

e271.. sqr(x188) + sqr(x218) =L= 1.1025;

e272.. sqr(x189) + sqr(x219) =L= 1.1025;

e273.. sqr(x190) + sqr(x220) =L= 1.1025;

e274.. sqr(x191) + sqr(x221) =L= 1.21;

e275.. sqr(x192) + sqr(x222) =L= 1.1025;

e276.. sqr(x193) + sqr(x223) =L= 1.1025;

e277.. sqr(x194) + sqr(x224) =L= 1.1025;

e278.. sqr(x165) + sqr(x195) =G= 0.9025;

e279.. sqr(x166) + sqr(x196) =G= 0.9025;

e280.. sqr(x167) + sqr(x197) =G= 0.9025;

e281.. sqr(x168) + sqr(x198) =G= 0.9025;

e282.. sqr(x169) + sqr(x199) =G= 0.9025;

e283.. sqr(x170) + sqr(x200) =G= 0.9025;

e284.. sqr(x171) + sqr(x201) =G= 0.9025;

e285.. sqr(x172) + sqr(x202) =G= 0.9025;

e286.. sqr(x173) + sqr(x203) =G= 0.9025;

e287.. sqr(x174) + sqr(x204) =G= 0.9025;

e288.. sqr(x175) + sqr(x205) =G= 0.9025;

e289.. sqr(x176) + sqr(x206) =G= 0.9025;

e290.. sqr(x177) + sqr(x207) =G= 0.9025;

e291.. sqr(x178) + sqr(x208) =G= 0.9025;

e292.. sqr(x179) + sqr(x209) =G= 0.9025;

e293.. sqr(x180) + sqr(x210) =G= 0.9025;

e294.. sqr(x181) + sqr(x211) =G= 0.9025;

e295.. sqr(x182) + sqr(x212) =G= 0.9025;

e296.. sqr(x183) + sqr(x213) =G= 0.9025;

e297.. sqr(x184) + sqr(x214) =G= 0.9025;

e298.. sqr(x185) + sqr(x215) =G= 0.9025;

e299.. sqr(x186) + sqr(x216) =G= 0.9025;

e300.. sqr(x187) + sqr(x217) =G= 0.9025;

e301.. sqr(x188) + sqr(x218) =G= 0.9025;

e302.. sqr(x189) + sqr(x219) =G= 0.9025;

e303.. sqr(x190) + sqr(x220) =G= 0.9025;

e304.. sqr(x191) + sqr(x221) =G= 0.9025;

e305.. sqr(x192) + sqr(x222) =G= 0.9025;

e306.. sqr(x193) + sqr(x223) =G= 0.9025;

e307.. sqr(x194) + sqr(x224) =G= 0.9025;

e308..    x266 =L= 0.8;

e309..    x267 =L= 0.8;

e310..    x268 =L= 0.4;

e311..    x269 =L= 0.5;

e312..    x270 =L= 0.3;

e313..    x271 =L= 0.55;

e314..    x266 =G= 0;

e315..    x267 =G= 0;

e316..    x268 =G= 0;

e317..    x269 =G= 0;

e318..    x270 =G= 0;

e319..    x271 =G= 0;

e320..    x272 =L= 1.5;

e321..    x273 =L= 0.6;

e322..    x274 =L= 0.447;

e323..    x275 =L= 0.625;

e324..    x276 =L= 0.4;

e325..    x277 =L= 0.487;

e326..    x272 =G= -0.2;

e327..    x273 =G= -0.2;

e328..    x274 =G= -0.15;

e329..    x275 =G= -0.15;

e330..    x276 =G= -0.1;

e331..    x277 =G= -0.15;

e332..    x195 =E= 0;

e333..    x15 + x79 - x266 =E= 0;

e334..    x16 + x27 + x75 + x77 - x267 =E= -0.217;

e335..    x2 - x268 =E= 0;

e336..    x10 + x50 + x55 - x269 =E= 0;

e337..    x25 + x68 - x270 =E= -0.032;

e338..    x3 + x42 + x46 + x57 - x271 =E= 0;

e339..    x97 + x161 - x272 =E= 0;

e340..    x98 + x109 + x157 + x159 - x273 =E= -0.127;

e341..    x84 - x274 =E= 0;

e342..    x92 + x132 + x137 - x275 =E= 0;

e343..    x107 + x150 - x276 =E= -0.016;

e344..    x85 + x124 + x128 + x139 - x277 =E= 0;

e345..    x19 + x80 =E= -0.024;

e346..    x20 + x31 + x51 + x78 =E= -0.076;

e347..    x28 + x47 =E= 0;

e348..    x5 + x11 + x13 + x43 + x52 + x65 + x76 =E= 0;

e349..    x6 + x48 =E= -0.228;

e350..    x44 + x61 =E= -0.3;

e351..    x17 + x35 + x66 =E= 0;

e352..    x9 + x12 + x33 + x36 + x53 + x59 =E= -0.058;

e353..    x18 =E= 0;

e354..    x1 + x21 + x32 + x37 + x63 =E= -0.112;

e355..    x7 + x22 =E= -0.062;

e356..    x8 + x38 + x67 + x71 =E= -0.082;

e357..    x64 + x73 =E= -0.035;

e358..    x60 + x74 =E= -0.09;

e359..    x39 + x72 =E= -0.032;

e360..    x29 + x40 =E= -0.095;

e361..    x30 + x54 =E= -0.022;

e362..    x34 + x49 =E= -0.175;

e363..    x23 + x26 + x56 =E= -0.087;

e364..    x24 + x45 + x69 =E= 0;

e365..    x70 =E= -0.035;

e366..    x14 + x41 + x62 =E= 0;

e367..    x4 + x81 =E= -0.024;

e368..    x58 + x82 =E= -0.106;

e369..    x101 + x162 =E= -0.012;

e370..    x102 + x113 + x133 + x160 =E= -0.016;

e371..    x110 + x129 =E= 0;

e372..    x87 + x93 + x95 + x125 + x134 + x147 + x158 =E= 0;

e373..    x88 + x130 =E= -0.109;

e374..    x126 + x143 =E= -0.3;

e375..    x99 + x117 + x148 =E= 0;

e376..    x91 + x94 + x115 + x118 + x135 + x141 =E= -0.02;

e377..    x100 =E= 0;

e378..    x83 + x103 + x114 + x119 + x145 =E= -0.075;

e379..    x89 + x104 =E= -0.016;

e380..    x90 + x120 + x149 + x153 =E= -0.025;

e381..    x146 + x155 =E= -0.018;

e382..    x142 + x156 =E= -0.058;

e383..    x121 + x154 =E= -0.009;

e384..    x111 + x122 =E= -0.034;

e385..    x112 + x136 =E= -0.007;

e386..    x116 + x131 =E= -0.112;

e387..    x105 + x108 + x138 =E= -0.067;

e388..    x106 + x127 + x151 =E= 0;

e389..    x152 =E= -0.023;

e390..    x96 + x123 + x144 =E= 0;

e391..    x86 + x163 =E= -0.009;

e392..    x140 + x164 =E= -0.019;

Model m / all /;

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

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

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


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