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Instance powerflow0030r

Optimal Power Flow problem modeled using quadratic functions (rectangular coordinates)
Formats ams gms lp mod nl osil pip py
Primal Bounds (infeas ≤ 1e-08)
576.89341350 p1 ( gdx sol )
(infeas: 1e-14)
Other points (infeas > 1e-08)  
Dual Bounds
576.89341290 (ANTIGONE)
575.77915160 (BARON)
0.00000000 (COUENNE)
275.64524060 (GUROBI)
0.00000000 (LINDO)
0.00000000 (OCTERACT)
575.21616610 (SCIP)
-0.00000523 (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 18 Aug 2014
Problem type QCQP
#Variables 236
#Binary Variables 0
#Integer Variables 0
#Nonlinear Variables 230
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type quadratic
Objective curvature convex
#Nonzeros in Objective 6
#Nonlinear Nonzeros in Objective 6
#Constraints 391
#Linear Constraints 85
#Quadratic Constraints 306
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 1305
#Nonlinear Nonzeros in Jacobian 940
#Nonzeros in (Upper-Left) Hessian of Lagrangian 558
#Nonzeros in Diagonal of Hessian of Lagrangian 230
#Blocks in Hessian of Lagrangian 171
Minimal blocksize in Hessian of Lagrangian 1
Maximal blocksize in Hessian of Lagrangian 60
Average blocksize in Hessian of Lagrangian 1.345029
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 3.4602e-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
*        237      237        0        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1312      366      946        0
*
*  Solve m using NLP minimizing objvar;


Variables  x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18,x19
          ,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36
          ,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52,x53
          ,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69,x70
          ,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86,x87
          ,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102,x103
          ,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115,x116
          ,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128,x129
          ,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140,x141,x142
          ,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154,x155
          ,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167,x168
          ,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180,x181
          ,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193,x194
          ,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206,x207
          ,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219,x220
          ,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232,x233
          ,x234,x235,x236,objvar;

Equations  e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
          ,e20,e21,e22,e23,e24,e25,e26,e27,e28,e29,e30,e31,e32,e33,e34,e35,e36
          ,e37,e38,e39,e40,e41,e42,e43,e44,e45,e46,e47,e48,e49,e50,e51,e52,e53
          ,e54,e55,e56,e57,e58,e59,e60,e61,e62,e63,e64,e65,e66,e67,e68,e69,e70
          ,e71,e72,e73,e74,e75,e76,e77,e78,e79,e80,e81,e82,e83,e84,e85,e86,e87
          ,e88,e89,e90,e91,e92,e93,e94,e95,e96,e97,e98,e99,e100,e101,e102,e103
          ,e104,e105,e106,e107,e108,e109,e110,e111,e112,e113,e114,e115,e116
          ,e117,e118,e119,e120,e121,e122,e123,e124,e125,e126,e127,e128,e129
          ,e130,e131,e132,e133,e134,e135,e136,e137,e138,e139,e140,e141,e142
          ,e143,e144,e145,e146,e147,e148,e149,e150,e151,e152,e153,e154,e155
          ,e156,e157,e158,e159,e160,e161,e162,e163,e164,e165,e166,e167,e168
          ,e169,e170,e171,e172,e173,e174,e175,e176,e177,e178,e179,e180,e181
          ,e182,e183,e184,e185,e186,e187,e188,e189,e190,e191,e192,e193,e194
          ,e195,e196,e197,e198,e199,e200,e201,e202,e203,e204,e205,e206,e207
          ,e208,e209,e210,e211,e212,e213,e214,e215,e216,e217,e218,e219,e220
          ,e221,e222,e223,e224,e225,e226,e227,e228,e229,e230,e231,e232,e233
          ,e234,e235,e236,e237,e238,e239,e240,e241,e242,e243,e244,e245,e246
          ,e247,e248,e249,e250,e251,e252,e253,e254,e255,e256,e257,e258,e259
          ,e260,e261,e262,e263,e264,e265,e266,e267,e268,e269,e270,e271,e272
          ,e273,e274,e275,e276,e277,e278,e279,e280,e281,e282,e283,e284,e285
          ,e286,e287,e288,e289,e290,e291,e292,e293,e294,e295,e296,e297,e298
          ,e299,e300,e301,e302,e303,e304,e305,e306,e307,e308,e309,e310,e311
          ,e312,e313,e314,e315,e316,e317,e318,e319,e320,e321,e322,e323,e324
          ,e325,e326,e327,e328,e329,e330,e331,e332,e333,e334,e335,e336,e337
          ,e338,e339,e340,e341,e342,e343,e344,e345,e346,e347,e348,e349,e350
          ,e351,e352,e353,e354,e355,e356,e357,e358,e359,e360,e361,e362,e363
          ,e364,e365,e366,e367,e368,e369,e370,e371,e372,e373,e374,e375,e376
          ,e377,e378,e379,e380,e381,e382,e383,e384,e385,e386,e387,e388,e389
          ,e390,e391,e392;


e1.. 200*sqr(x225) + 200*x225 + 175*sqr(x226) + 175*x226 + 250*sqr(x227) + 300*
     x227 + 625*sqr(x228) + 100*x228 + 250*sqr(x229) + 300*x229 + 83.4*sqr(x230
     ) + 325*x230 - objvar =E= 0;

e2.. 3.57142857142857*x177*x206 - 3.57142857142857*x176*x207 + 3.57142857142857
     *x206*x177 - 3.57142857142857*x207*x176 + x1 =E= 0;

e3.. 3.57142857142857*x176*x207 - 3.57142857142857*x177*x206 - 3.57142857142857
     *x206*x177 + 3.57142857142857*x207*x176 + x2 =E= 0;

e4.. 0.48932384341637*x191*x193 - 0.97864768683274*sqr(x191) - 
     0.934163701067616*x191*x223 + 0.48932384341637*x193*x191 + 
     0.934163701067616*x193*x221 + 0.934163701067616*x221*x193 - 
     0.97864768683274*sqr(x221) + 0.48932384341637*x221*x223 - 
     0.934163701067616*x223*x191 + 0.48932384341637*x223*x221 + x3 =E= 0;

e5.. 0.48932384341637*x191*x193 + 0.934163701067616*x191*x223 + 
     0.48932384341637*x193*x191 - 0.97864768683274*sqr(x193) - 
     0.934163701067616*x193*x221 - 0.934163701067616*x221*x193 + 
     0.48932384341637*x221*x223 + 0.934163701067616*x223*x191 + 
     0.48932384341637*x223*x221 - 0.97864768683274*sqr(x223) + x4 =E= 0;

e6.. 2.05479452054794*x170*x171 - 4.10958904109589*sqr(x170) - 5.47945205479452
     *x170*x201 + 2.05479452054794*x171*x170 + 5.47945205479452*x171*x200 + 
     5.47945205479452*x200*x171 - 4.10958904109589*sqr(x200) + 2.05479452054794
     *x200*x201 - 5.47945205479452*x201*x170 + 2.05479452054794*x201*x200 + x5
      =E= 0;

e7.. 2.05479452054794*x170*x171 + 5.47945205479452*x170*x201 + 2.05479452054794
     *x171*x170 - 4.10958904109589*sqr(x171) - 5.47945205479452*x171*x200 - 
     5.47945205479452*x200*x171 + 2.05479452054794*x200*x201 + 5.47945205479452
     *x201*x170 + 2.05479452054794*x201*x200 - 4.10958904109589*sqr(x201) + x6
      =E= 0;

e8.. 1.24434389140271*x178*x179 - 2.48868778280543*sqr(x178) - 1.13122171945701
     *x178*x209 + 1.24434389140271*x179*x178 + 1.13122171945701*x179*x208 + 
     1.13122171945701*x208*x179 - 2.48868778280543*sqr(x208) + 1.24434389140271
     *x208*x209 - 1.13122171945701*x209*x178 + 1.24434389140271*x209*x208 + x7
      =E= 0;

e9.. 1.24434389140271*x178*x179 + 1.13122171945701*x178*x209 + 1.24434389140271
     *x179*x178 - 2.48868778280543*sqr(x179) - 1.13122171945701*x179*x208 - 
     1.13122171945701*x208*x179 + 1.24434389140271*x208*x209 + 1.13122171945701
     *x209*x178 + 1.24434389140271*x209*x208 - 2.48868778280543*sqr(x209) + x8
      =E= 0;

e10.. 1.27737226277372*x174*x186 - 2.55474452554745*sqr(x174) - 
      2.73722627737226*x174*x216 + 1.27737226277372*x186*x174 + 
      2.73722627737226*x186*x204 + 2.73722627737226*x204*x186 - 
      2.55474452554745*sqr(x204) + 1.27737226277372*x204*x216 - 
      2.73722627737226*x216*x174 + 1.27737226277372*x216*x204 + x9 =E= 0;

e11.. 1.27737226277372*x174*x186 + 2.73722627737226*x174*x216 + 
      1.27737226277372*x186*x174 - 2.55474452554745*sqr(x186) - 
      2.73722627737226*x186*x204 - 2.73722627737226*x204*x186 + 
      1.27737226277372*x204*x216 + 2.73722627737226*x216*x174 + 
      1.27737226277372*x216*x204 - 2.55474452554745*sqr(x216) + x10 =E= 0;

e12.. 0.892857142857143*x174*x200 - 0.892857142857143*x170*x204 + 
      0.892857142857143*x200*x174 - 0.892857142857143*x204*x170 + x11 =E= 0;

e13.. 0.892857142857143*x170*x204 - 0.892857142857143*x174*x200 - 
      0.892857142857143*x200*x174 + 0.892857142857143*x204*x170 + x12 =E= 0;

e14.. 2.5*x170*x192 - 5*sqr(x170) - 7.5*x170*x222 + 2.5*x192*x170 + 7.5*x192*
      x200 + 7.5*x200*x192 - 5*sqr(x200) + 2.5*x200*x222 - 7.5*x222*x170 + 2.5*
      x222*x200 + x13 =E= 0;

e15.. 2.5*x170*x192 + 7.5*x170*x222 + 2.5*x192*x170 - 5*sqr(x192) - 7.5*x192*
      x200 - 7.5*x200*x192 + 2.5*x200*x222 + 7.5*x222*x170 + 2.5*x222*x200 - 5*
      sqr(x222) + x14 =E= 0;

e16.. 2.5*x165*x166 - 5*sqr(x165) - 7.5*x165*x196 + 2.5*x166*x165 + 7.5*x166*
      x195 + 7.5*x195*x166 - 5*sqr(x195) + 2.5*x195*x196 - 7.5*x196*x165 + 2.5*
      x196*x195 + x15 =E= 0;

e17.. 2.5*x165*x166 + 7.5*x165*x196 + 2.5*x166*x165 - 5*sqr(x166) - 7.5*x166*
      x195 - 7.5*x195*x166 + 2.5*x195*x196 + 7.5*x196*x165 + 2.5*x196*x195 - 5*
      sqr(x196) + x16 =E= 0;

e18.. 2.38095238095238*x175*x203 - 2.38095238095238*x173*x205 + 
      2.38095238095238*x203*x175 - 2.38095238095238*x205*x173 + x17 =E= 0;

e19.. 2.38095238095238*x173*x205 - 2.38095238095238*x175*x203 - 
      2.38095238095238*x203*x175 + 2.38095238095238*x205*x173 + x18 =E= 0;

e20.. 2.94117647058824*x167*x168 - 5.88235294117647*sqr(x167) - 
      11.7647058823529*x167*x198 + 2.94117647058824*x168*x167 + 
      11.7647058823529*x168*x197 + 11.7647058823529*x197*x168 - 
      5.88235294117647*sqr(x197) + 2.94117647058824*x197*x198 - 
      11.7647058823529*x198*x167 + 2.94117647058824*x198*x197 + x19 =E= 0;

e21.. 2.94117647058824*x167*x168 + 11.7647058823529*x167*x198 + 
      2.94117647058824*x168*x167 - 5.88235294117647*sqr(x168) - 
      11.7647058823529*x168*x197 - 11.7647058823529*x197*x168 + 
      2.94117647058824*x197*x198 + 11.7647058823529*x198*x167 + 
      2.94117647058824*x198*x197 - 5.88235294117647*sqr(x198) + x20 =E= 0;

e22.. 0.731707317073171*x176*x178 - 1.46341463414634*sqr(x176) - 
      1.58536585365854*x176*x208 + 0.731707317073171*x178*x176 + 
      1.58536585365854*x178*x206 + 1.58536585365854*x206*x178 - 
      1.46341463414634*sqr(x206) + 0.731707317073171*x206*x208 - 
      1.58536585365854*x208*x176 + 0.731707317073171*x208*x206 + x21 =E= 0;

e23.. 0.731707317073171*x176*x178 + 1.58536585365854*x176*x208 + 
      0.731707317073171*x178*x176 - 1.46341463414634*sqr(x178) - 
      1.58536585365854*x178*x206 - 1.58536585365854*x206*x178 + 
      0.731707317073171*x206*x208 + 1.58536585365854*x208*x176 + 
      0.731707317073171*x208*x206 - 1.46341463414634*sqr(x208) + x22 =E= 0;

e24.. 0.655172413793103*x188*x189 - 1.31034482758621*sqr(x188) - 
      1.13793103448276*x188*x219 + 0.655172413793103*x189*x188 + 
      1.13793103448276*x189*x218 + 1.13793103448276*x218*x189 - 
      1.31034482758621*sqr(x218) + 0.655172413793103*x218*x219 - 
      1.13793103448276*x219*x188 + 0.655172413793103*x219*x218 + x23 =E= 0;

e25.. 0.655172413793103*x188*x189 + 1.13793103448276*x188*x219 + 
      0.655172413793103*x189*x188 - 1.31034482758621*sqr(x189) - 
      1.13793103448276*x189*x218 - 1.13793103448276*x218*x189 + 
      0.655172413793103*x218*x219 + 1.13793103448276*x219*x188 + 
      0.655172413793103*x219*x218 - 1.31034482758621*sqr(x219) + x24 =E= 0;

e26.. 0.723830734966592*x187*x188 - 1.44766146993318*sqr(x187) - 
      1.50334075723831*x187*x218 + 0.723830734966592*x188*x187 + 
      1.50334075723831*x188*x217 + 1.50334075723831*x217*x188 - 
      1.44766146993318*sqr(x217) + 0.723830734966592*x217*x218 - 
      1.50334075723831*x218*x187 + 0.723830734966592*x218*x217 + x25 =E= 0;

e27.. 0.723830734966592*x187*x188 + 1.50334075723831*x187*x218 + 
      0.723830734966592*x188*x187 - 1.44766146993318*sqr(x188) - 
      1.50334075723831*x188*x217 - 1.50334075723831*x217*x188 + 
      0.723830734966592*x217*x218 + 1.50334075723831*x218*x187 + 
      0.723830734966592*x218*x217 - 1.44766146993318*sqr(x218) + x26 =E= 0;

e28.. 0.588235294117647*x166*x169 - 1.17647058823529*sqr(x166) - 
      2.35294117647059*x166*x199 + 0.588235294117647*x169*x166 + 
      2.35294117647059*x169*x196 + 2.35294117647059*x196*x169 - 
      1.17647058823529*sqr(x196) + 0.588235294117647*x196*x199 - 
      2.35294117647059*x199*x166 + 0.588235294117647*x199*x196 + x27 =E= 0;

e29.. 0.588235294117647*x166*x169 + 2.35294117647059*x166*x199 + 
      0.588235294117647*x169*x166 - 1.17647058823529*sqr(x169) - 
      2.35294117647059*x169*x196 - 2.35294117647059*x196*x169 + 
      0.588235294117647*x196*x199 + 2.35294117647059*x199*x166 + 
      0.588235294117647*x199*x196 - 1.17647058823529*sqr(x199) + x28 =E= 0;

e30.. 2.58620689655172*x183*x184 - 5.17241379310345*sqr(x183) - 
      6.03448275862069*x183*x214 + 2.58620689655172*x184*x183 + 
      6.03448275862069*x184*x213 + 6.03448275862069*x213*x184 - 
      5.17241379310345*sqr(x213) + 2.58620689655172*x213*x214 - 
      6.03448275862069*x214*x183 + 2.58620689655172*x214*x213 + x29 =E= 0;

e31.. 2.58620689655172*x183*x184 + 6.03448275862069*x183*x214 + 
      2.58620689655172*x184*x183 - 5.17241379310345*sqr(x184) - 
      6.03448275862069*x184*x213 - 6.03448275862069*x213*x184 + 
      2.58620689655172*x213*x214 + 6.03448275862069*x214*x183 + 
      2.58620689655172*x214*x213 - 5.17241379310345*sqr(x214) + x30 =E= 0;

e32.. 1.92307692307692*x176*x198 - 1.92307692307692*x168*x206 + 
      1.92307692307692*x198*x176 - 1.92307692307692*x206*x168 + x31 =E= 0;

e33.. 1.92307692307692*x168*x206 - 1.92307692307692*x176*x198 - 
      1.92307692307692*x198*x176 + 1.92307692307692*x206*x168 + x32 =E= 0;

e34.. 2.58620689655172*x174*x185 - 5.17241379310345*sqr(x174) - 
      6.03448275862069*x174*x215 + 2.58620689655172*x185*x174 + 
      6.03448275862069*x185*x204 + 6.03448275862069*x204*x185 - 
      5.17241379310345*sqr(x204) + 2.58620689655172*x204*x215 - 
      6.03448275862069*x215*x174 + 2.58620689655172*x215*x204 + x33 =E= 0;

e35.. 2.58620689655172*x174*x185 + 6.03448275862069*x174*x215 + 
      2.58620689655172*x185*x174 - 5.17241379310345*sqr(x185) - 
      6.03448275862069*x185*x204 - 6.03448275862069*x204*x185 + 
      2.58620689655172*x204*x215 + 6.03448275862069*x215*x174 + 
      2.58620689655172*x215*x204 - 5.17241379310345*sqr(x215) + x34 =E= 0;

e36.. 4.54545454545455*x174*x203 - 4.54545454545455*x173*x204 + 
      4.54545454545455*x203*x174 - 4.54545454545455*x204*x173 + x35 =E= 0;

e37.. 4.54545454545455*x173*x204 - 4.54545454545455*x174*x203 - 
      4.54545454545455*x203*x174 + 4.54545454545455*x204*x173 + x36 =E= 0;

e38.. 1.60550458715596*x176*x179 - 3.21100917431193*sqr(x176) - 
      2.98165137614679*x176*x209 + 1.60550458715596*x179*x176 + 
      2.98165137614679*x179*x206 + 2.98165137614679*x206*x179 - 
      3.21100917431193*sqr(x206) + 1.60550458715596*x206*x209 - 
      2.98165137614679*x209*x176 + 1.60550458715596*x209*x206 + x37 =E= 0;

e39.. 1.60550458715596*x176*x179 + 2.98165137614679*x176*x209 + 
      1.60550458715596*x179*x176 - 3.21100917431193*sqr(x179) - 
      2.98165137614679*x179*x206 - 2.98165137614679*x206*x179 + 
      1.60550458715596*x206*x209 + 2.98165137614679*x209*x176 + 
      1.60550458715596*x209*x206 - 3.21100917431193*sqr(x209) + x38 =E= 0;

e40.. 1.46341463414634*x182*x183 - 2.92682926829268*sqr(x182) - 
      3.17073170731707*x182*x213 + 1.46341463414634*x183*x182 + 
      3.17073170731707*x183*x212 + 3.17073170731707*x212*x183 - 
      2.92682926829268*sqr(x212) + 1.46341463414634*x212*x213 - 
      3.17073170731707*x213*x182 + 1.46341463414634*x213*x212 + x39 =E= 0;

e41.. 1.46341463414634*x182*x183 + 3.17073170731707*x182*x213 + 
      1.46341463414634*x183*x182 - 2.92682926829268*sqr(x183) - 
      3.17073170731707*x183*x212 - 3.17073170731707*x212*x183 + 
      1.46341463414634*x212*x213 + 3.17073170731707*x213*x182 + 
      1.46341463414634*x213*x212 - 2.92682926829268*sqr(x213) + x40 =E= 0;

e42.. 1.25*x191*x222 - 1.25*x192*x221 - 1.25*x221*x192 + 1.25*x222*x191 + x41
       =E= 0;

e43.. 1.25*x192*x221 - 1.25*x191*x222 + 1.25*x221*x192 - 1.25*x222*x191 + x42
       =E= 0;

e44.. 2.94117647058824*x170*x172 - 5.88235294117647*sqr(x170) - 
      11.7647058823529*x170*x202 + 2.94117647058824*x172*x170 + 
      11.7647058823529*x172*x200 + 11.7647058823529*x200*x172 - 
      5.88235294117647*sqr(x200) + 2.94117647058824*x200*x202 - 
      11.7647058823529*x202*x170 + 2.94117647058824*x202*x200 + x43 =E= 0;

e45.. 2.94117647058824*x170*x172 + 11.7647058823529*x170*x202 + 
      2.94117647058824*x172*x170 - 5.88235294117647*sqr(x172) - 
      11.7647058823529*x172*x200 - 11.7647058823529*x200*x172 + 
      2.94117647058824*x200*x202 + 11.7647058823529*x202*x170 + 
      2.94117647058824*x202*x200 - 5.88235294117647*sqr(x202) + x44 =E= 0;

e46.. 0.97864768683274*x189*x191 - 1.95729537366548*sqr(x189) - 
      1.86832740213523*x189*x221 + 0.97864768683274*x191*x189 + 
      1.86832740213523*x191*x219 + 1.86832740213523*x219*x191 - 
      1.95729537366548*sqr(x219) + 0.97864768683274*x219*x221 - 
      1.86832740213523*x221*x189 + 0.97864768683274*x221*x219 + x45 =E= 0;

e47.. 0.97864768683274*x189*x191 + 1.86832740213523*x189*x221 + 
      0.97864768683274*x191*x189 - 1.95729537366548*sqr(x191) - 
      1.86832740213523*x191*x219 - 1.86832740213523*x219*x191 + 
      0.97864768683274*x219*x221 + 1.86832740213523*x221*x189 + 
      0.97864768683274*x221*x219 - 1.95729537366548*sqr(x221) + x46 =E= 0;

e48.. 1.4792899408284*x169*x171 - 2.95857988165681*sqr(x169) - 3.55029585798817
      *x169*x201 + 1.4792899408284*x171*x169 + 3.55029585798817*x171*x199 + 
      3.55029585798817*x199*x171 - 2.95857988165681*sqr(x199) + 1.4792899408284
      *x199*x201 - 3.55029585798817*x201*x169 + 1.4792899408284*x201*x199 + x47
       =E= 0;

e49.. 1.4792899408284*x169*x171 + 3.55029585798817*x169*x201 + 1.4792899408284*
      x171*x169 - 2.95857988165681*sqr(x171) - 3.55029585798817*x171*x199 - 
      3.55029585798817*x199*x171 + 1.4792899408284*x199*x201 + 3.55029585798817
      *x201*x169 + 1.4792899408284*x201*x199 - 2.95857988165681*sqr(x201) + x48
       =E= 0;

e50.. 10*x185*x186 - 20*sqr(x185) - 20*x185*x216 + 10*x186*x185 + 20*x186*x215
       + 20*x215*x186 - 20*sqr(x215) + 10*x215*x216 - 20*x216*x185 + 10*x216*
      x215 + x49 =E= 0;

e51.. 10*x185*x186 + 20*x185*x216 + 10*x186*x185 - 20*sqr(x186) - 20*x186*x215
       - 20*x215*x186 + 10*x215*x216 + 20*x216*x185 + 10*x216*x215 - 20*sqr(
      x216) + x50 =E= 0;

e52.. 2.94117647058824*x168*x170 - 5.88235294117647*sqr(x168) - 
      11.7647058823529*x168*x200 + 2.94117647058824*x170*x168 + 
      11.7647058823529*x170*x198 + 11.7647058823529*x198*x170 - 
      5.88235294117647*sqr(x198) + 2.94117647058824*x198*x200 - 
      11.7647058823529*x200*x168 + 2.94117647058824*x200*x198 + x51 =E= 0;

e53.. 2.94117647058824*x168*x170 + 11.7647058823529*x168*x200 + 
      2.94117647058824*x170*x168 - 5.88235294117647*sqr(x170) - 
      11.7647058823529*x170*x198 - 11.7647058823529*x198*x170 + 
      2.94117647058824*x198*x200 + 11.7647058823529*x200*x168 + 
      2.94117647058824*x200*x198 - 5.88235294117647*sqr(x200) + x52 =E= 0;

e54.. 0.862068965517241*x174*x184 - 1.72413793103448*sqr(x174) - 
      2.01149425287356*x174*x214 + 0.862068965517241*x184*x174 + 
      2.01149425287356*x184*x204 + 2.01149425287356*x204*x184 - 
      1.72413793103448*sqr(x204) + 0.862068965517241*x204*x214 - 
      2.01149425287356*x214*x174 + 0.862068965517241*x214*x204 + x53 =E= 0;

e55.. 0.862068965517241*x174*x184 + 2.01149425287356*x174*x214 + 
      0.862068965517241*x184*x174 - 1.72413793103448*sqr(x184) - 
      2.01149425287356*x184*x204 - 2.01149425287356*x204*x184 + 
      0.862068965517241*x204*x214 + 2.01149425287356*x214*x174 + 
      0.862068965517241*x214*x204 - 1.72413793103448*sqr(x214) + x54 =E= 0;

e56.. 1.28205128205128*x186*x188 - 2.56410256410256*sqr(x186) - 
      1.92307692307692*x186*x218 + 1.28205128205128*x188*x186 + 
      1.92307692307692*x188*x216 + 1.92307692307692*x216*x188 - 
      2.56410256410256*sqr(x216) + 1.28205128205128*x216*x218 - 
      1.92307692307692*x218*x186 + 1.28205128205128*x218*x216 + x55 =E= 0;

e57.. 1.28205128205128*x186*x188 + 1.92307692307692*x186*x218 + 
      1.28205128205128*x188*x186 - 2.56410256410256*sqr(x188) - 
      1.92307692307692*x188*x216 - 1.92307692307692*x216*x188 + 
      1.28205128205128*x216*x218 + 1.92307692307692*x218*x186 + 
      1.28205128205128*x218*x216 - 2.56410256410256*sqr(x218) + x56 =E= 0;

e58.. 0.346020761245675*x191*x194 - 0.69204152249135*sqr(x191) - 
      0.64878892733564*x191*x224 + 0.346020761245675*x194*x191 + 
      0.64878892733564*x194*x221 + 0.64878892733564*x221*x194 - 
      0.69204152249135*sqr(x221) + 0.346020761245675*x221*x224 - 
      0.64878892733564*x224*x191 + 0.346020761245675*x224*x221 + x57 =E= 0;

e59.. 0.346020761245675*x191*x194 + 0.64878892733564*x191*x224 + 
      0.346020761245675*x194*x191 - 0.69204152249135*sqr(x194) - 
      0.64878892733564*x194*x221 - 0.64878892733564*x221*x194 + 
      0.346020761245675*x221*x224 + 0.64878892733564*x224*x191 + 
      0.346020761245675*x224*x221 - 0.69204152249135*sqr(x224) + x58 =E= 0;

e60.. 2.05479452054794*x174*x181 - 4.10958904109589*sqr(x174) - 
      5.47945205479452*x174*x211 + 2.05479452054794*x181*x174 + 
      5.47945205479452*x181*x204 + 5.47945205479452*x204*x181 - 
      4.10958904109589*sqr(x204) + 2.05479452054794*x204*x211 - 
      5.47945205479452*x211*x174 + 2.05479452054794*x211*x204 + x59 =E= 0;

e61.. 2.05479452054794*x174*x181 + 5.47945205479452*x174*x211 + 
      2.05479452054794*x181*x174 - 4.10958904109589*sqr(x181) - 
      5.47945205479452*x181*x204 - 5.47945205479452*x204*x181 + 
      2.05479452054794*x204*x211 + 5.47945205479452*x211*x174 + 
      2.05479452054794*x211*x204 - 4.10958904109589*sqr(x211) + x60 =E= 0;

e62.. 0.688073394495413*x172*x192 - 1.37614678899083*sqr(x172) - 
      2.29357798165138*x172*x222 + 0.688073394495413*x192*x172 + 
      2.29357798165138*x192*x202 + 2.29357798165138*x202*x192 - 
      1.37614678899083*sqr(x202) + 0.688073394495413*x202*x222 - 
      2.29357798165138*x222*x172 + 0.688073394495413*x222*x202 + x61 =E= 0;

e63.. 0.688073394495413*x172*x192 + 2.29357798165138*x172*x222 + 
      0.688073394495413*x192*x172 - 1.37614678899083*sqr(x192) - 
      2.29357798165138*x192*x202 - 2.29357798165138*x202*x192 + 
      0.688073394495413*x202*x222 + 2.29357798165138*x222*x172 + 
      0.688073394495413*x222*x202 - 1.37614678899083*sqr(x222) + x62 =E= 0;

e64.. 0.935550935550935*x176*x180 - 1.87110187110187*sqr(x176) - 
      2.07900207900208*x176*x210 + 0.935550935550935*x180*x176 + 
      2.07900207900208*x180*x206 + 2.07900207900208*x206*x180 - 
      1.87110187110187*sqr(x206) + 0.935550935550935*x206*x210 - 
      2.07900207900208*x210*x176 + 0.935550935550935*x210*x206 + x63 =E= 0;

e65.. 0.935550935550935*x176*x180 + 2.07900207900208*x176*x210 + 
      0.935550935550935*x180*x176 - 1.87110187110187*sqr(x180) - 
      2.07900207900208*x180*x206 - 2.07900207900208*x206*x180 + 
      0.935550935550935*x206*x210 + 2.07900207900208*x210*x176 + 
      0.935550935550935*x210*x206 - 1.87110187110187*sqr(x210) + x64 =E= 0;

e66.. 2.38095238095238*x173*x200 - 2.38095238095238*x170*x203 + 
      2.38095238095238*x200*x173 - 2.38095238095238*x203*x170 + x65 =E= 0;

e67.. 2.38095238095238*x170*x203 - 2.38095238095238*x173*x200 - 
      2.38095238095238*x200*x173 + 2.38095238095238*x203*x170 + x66 =E= 0;

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

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

e70.. 0.604156597390043*x189*x190 - 1.20831319478009*sqr(x189) - 
      0.918318028032866*x189*x220 + 0.604156597390043*x190*x189 + 
      0.918318028032866*x190*x219 + 0.918318028032866*x219*x190 - 
      1.20831319478009*sqr(x219) + 0.604156597390043*x219*x220 - 
      0.918318028032866*x220*x189 + 0.604156597390043*x220*x219 + x69 =E= 0;

e71.. 0.604156597390043*x189*x190 + 0.918318028032866*x189*x220 + 
      0.604156597390043*x190*x189 - 1.20831319478009*sqr(x190) - 
      0.918318028032866*x190*x219 - 0.918318028032866*x219*x190 + 
      0.604156597390043*x219*x220 + 0.918318028032866*x220*x189 + 
      0.604156597390043*x220*x219 - 1.20831319478009*sqr(x220) + x70 =E= 0;

e72.. 0.909090909090909*x179*x182 - 1.81818181818182*sqr(x179) - 
      1.81818181818182*x179*x212 + 0.909090909090909*x182*x179 + 
      1.81818181818182*x182*x209 + 1.81818181818182*x209*x182 - 
      1.81818181818182*sqr(x209) + 0.909090909090909*x209*x212 - 
      1.81818181818182*x212*x179 + 0.909090909090909*x212*x209 + x71 =E= 0;

e73.. 0.909090909090909*x179*x182 + 1.81818181818182*x179*x212 + 
      0.909090909090909*x182*x179 - 1.81818181818182*sqr(x182) - 
      1.81818181818182*x182*x209 - 1.81818181818182*x209*x182 + 
      0.909090909090909*x209*x212 + 1.81818181818182*x212*x179 + 
      0.909090909090909*x212*x209 - 1.81818181818182*sqr(x212) + x72 =E= 0;

e74.. 0.941176470588235*x180*x181 - 1.88235294117647*sqr(x180) - 
      2.23529411764706*x180*x211 + 0.941176470588235*x181*x180 + 
      2.23529411764706*x181*x210 + 2.23529411764706*x210*x181 - 
      1.88235294117647*sqr(x210) + 0.941176470588235*x210*x211 - 
      2.23529411764706*x211*x180 + 0.941176470588235*x211*x210 + x73 =E= 0;

e75.. 0.941176470588235*x180*x181 + 2.23529411764706*x180*x211 + 
      0.941176470588235*x181*x180 - 1.88235294117647*sqr(x181) - 
      2.23529411764706*x181*x210 - 2.23529411764706*x210*x181 + 
      0.941176470588235*x210*x211 + 2.23529411764706*x211*x180 + 
      0.941176470588235*x211*x210 - 1.88235294117647*sqr(x211) + x74 =E= 0;

e76.. 0.833333333333333*x166*x170 - 1.66666666666667*sqr(x166) - 2.5*x166*x200
       + 0.833333333333333*x170*x166 + 2.5*x170*x196 + 2.5*x196*x170 - 
      1.66666666666667*sqr(x196) + 0.833333333333333*x196*x200 - 2.5*x200*x166
       + 0.833333333333333*x200*x196 + x75 =E= 0;

e77.. 0.833333333333333*x166*x170 + 2.5*x166*x200 + 0.833333333333333*x170*x166
       - 1.66666666666667*sqr(x170) - 2.5*x170*x196 - 2.5*x196*x170 + 
      0.833333333333333*x196*x200 + 2.5*x200*x166 + 0.833333333333333*x200*x196
       - 1.66666666666667*sqr(x200) + x76 =E= 0;

e78.. 0.923076923076923*x166*x168 - 1.84615384615385*sqr(x166) - 
      2.61538461538461*x166*x198 + 0.923076923076923*x168*x166 + 
      2.61538461538461*x168*x196 + 2.61538461538461*x196*x168 - 
      1.84615384615385*sqr(x196) + 0.923076923076923*x196*x198 - 
      2.61538461538461*x198*x166 + 0.923076923076923*x198*x196 + x77 =E= 0;

e79.. 0.923076923076923*x166*x168 + 2.61538461538461*x166*x198 + 
      0.923076923076923*x168*x166 - 1.84615384615385*sqr(x168) - 
      2.61538461538461*x168*x196 - 2.61538461538461*x196*x168 + 
      0.923076923076923*x196*x198 + 2.61538461538461*x198*x166 + 
      0.923076923076923*x198*x196 - 1.84615384615385*sqr(x198) + x78 =E= 0;

e80.. 0.647668393782383*x165*x167 - 1.29533678756477*sqr(x165) - 
      2.46113989637306*x165*x197 + 0.647668393782383*x167*x165 + 
      2.46113989637306*x167*x195 + 2.46113989637306*x195*x167 - 
      1.29533678756477*sqr(x195) + 0.647668393782383*x195*x197 - 
      2.46113989637306*x197*x165 + 0.647668393782383*x197*x195 + x79 =E= 0;

e81.. 0.647668393782383*x165*x167 + 2.46113989637306*x165*x197 + 
      0.647668393782383*x167*x165 - 1.29533678756477*sqr(x167) - 
      2.46113989637306*x167*x195 - 2.46113989637306*x195*x167 + 
      0.647668393782383*x195*x197 + 2.46113989637306*x197*x165 + 
      0.647668393782383*x197*x195 - 1.29533678756477*sqr(x197) + x80 =E= 0;

e82.. 0.461361014994233*x193*x194 - 0.922722029988466*sqr(x193) - 
      0.865051903114187*x193*x224 + 0.461361014994233*x194*x193 + 
      0.865051903114187*x194*x223 + 0.865051903114187*x223*x194 - 
      0.922722029988466*sqr(x223) + 0.461361014994233*x223*x224 - 
      0.865051903114187*x224*x193 + 0.461361014994233*x224*x223 + x81 =E= 0;

e83.. 0.461361014994233*x193*x194 + 0.865051903114187*x193*x224 + 
      0.461361014994233*x194*x193 - 0.922722029988466*sqr(x194) - 
      0.865051903114187*x194*x223 - 0.865051903114187*x223*x194 + 
      0.461361014994233*x223*x224 + 0.865051903114187*x224*x193 + 
      0.461361014994233*x224*x223 - 0.922722029988466*sqr(x224) + x82 =E= 0;

e84.. 3.57142857142857*x176*x177 - 7.14285714285714*sqr(x176) + 
      3.57142857142857*x177*x176 - 7.14285714285714*sqr(x206) + 
      3.57142857142857*x206*x207 + 3.57142857142857*x207*x206 + x83 =E= 0;

e85.. 3.57142857142857*x176*x177 + 3.57142857142857*x177*x176 - 
      7.14285714285714*sqr(x177) + 3.57142857142857*x206*x207 + 
      3.57142857142857*x207*x206 - 7.14285714285714*sqr(x207) + x84 =E= 0;

e86.. 0.934163701067616*x191*x193 - 1.86832740213523*sqr(x191) + 
      0.48932384341637*x191*x223 + 0.934163701067616*x193*x191 - 
      0.48932384341637*x193*x221 - 0.48932384341637*x221*x193 - 
      1.86832740213523*sqr(x221) + 0.934163701067616*x221*x223 + 
      0.48932384341637*x223*x191 + 0.934163701067616*x223*x221 + x85 =E= 0;

e87.. 0.934163701067616*x191*x193 - 0.48932384341637*x191*x223 + 
      0.934163701067616*x193*x191 - 1.86832740213523*sqr(x193) + 
      0.48932384341637*x193*x221 + 0.48932384341637*x221*x193 + 
      0.934163701067616*x221*x223 - 0.48932384341637*x223*x191 + 
      0.934163701067616*x223*x221 - 1.86832740213523*sqr(x223) + x86 =E= 0;

e88.. 5.47945205479452*x170*x171 - 10.953904109589*sqr(x170) + 2.05479452054794
      *x170*x201 + 5.47945205479452*x171*x170 - 2.05479452054794*x171*x200 - 
      2.05479452054794*x200*x171 - 10.953904109589*sqr(x200) + 5.47945205479452
      *x200*x201 + 2.05479452054794*x201*x170 + 5.47945205479452*x201*x200
       + x87 =E= 0;

e89.. 5.47945205479452*x170*x171 - 2.05479452054794*x170*x201 + 
      5.47945205479452*x171*x170 - 10.953904109589*sqr(x171) + 2.05479452054794
      *x171*x200 + 2.05479452054794*x200*x171 + 5.47945205479452*x200*x201 - 
      2.05479452054794*x201*x170 + 5.47945205479452*x201*x200 - 10.953904109589
      *sqr(x201) + x88 =E= 0;

e90.. 1.13122171945701*x178*x179 - 2.26244343891403*sqr(x178) + 
      1.24434389140271*x178*x209 + 1.13122171945701*x179*x178 - 
      1.24434389140271*x179*x208 - 1.24434389140271*x208*x179 - 
      2.26244343891403*sqr(x208) + 1.13122171945701*x208*x209 + 
      1.24434389140271*x209*x178 + 1.13122171945701*x209*x208 + x89 =E= 0;

e91.. 1.13122171945701*x178*x179 - 1.24434389140271*x178*x209 + 
      1.13122171945701*x179*x178 - 2.26244343891403*sqr(x179) + 
      1.24434389140271*x179*x208 + 1.24434389140271*x208*x179 + 
      1.13122171945701*x208*x209 - 1.24434389140271*x209*x178 + 
      1.13122171945701*x209*x208 - 2.26244343891403*sqr(x209) + x90 =E= 0;

e92.. 2.73722627737226*x174*x186 - 5.47445255474453*sqr(x174) + 
      1.27737226277372*x174*x216 + 2.73722627737226*x186*x174 - 
      1.27737226277372*x186*x204 - 1.27737226277372*x204*x186 - 
      5.47445255474453*sqr(x204) + 2.73722627737226*x204*x216 + 
      1.27737226277372*x216*x174 + 2.73722627737226*x216*x204 + x91 =E= 0;

e93.. 2.73722627737226*x174*x186 - 1.27737226277372*x174*x216 + 
      2.73722627737226*x186*x174 - 5.47445255474453*sqr(x186) + 
      1.27737226277372*x186*x204 + 1.27737226277372*x204*x186 + 
      2.73722627737226*x204*x216 - 1.27737226277372*x216*x174 + 
      2.73722627737226*x216*x204 - 5.47445255474453*sqr(x216) + x92 =E= 0;

e94.. 0.892857142857143*x170*x174 - 1.78571428571429*sqr(x170) + 
      0.892857142857143*x174*x170 - 1.78571428571429*sqr(x200) + 
      0.892857142857143*x200*x204 + 0.892857142857143*x204*x200 + x93 =E= 0;

e95.. 0.892857142857143*x170*x174 + 0.892857142857143*x174*x170 - 
      1.78571428571429*sqr(x174) + 0.892857142857143*x200*x204 + 
      0.892857142857143*x204*x200 - 1.78571428571429*sqr(x204) + x94 =E= 0;

e96.. 7.5*x170*x192 - 14.995*sqr(x170) + 2.5*x170*x222 + 7.5*x192*x170 - 2.5*
      x192*x200 - 2.5*x200*x192 - 14.995*sqr(x200) + 7.5*x200*x222 + 2.5*x222*
      x170 + 7.5*x222*x200 + x95 =E= 0;

e97.. 7.5*x170*x192 - 2.5*x170*x222 + 7.5*x192*x170 - 14.995*sqr(x192) + 2.5*
      x192*x200 + 2.5*x200*x192 + 7.5*x200*x222 - 2.5*x222*x170 + 7.5*x222*x200
       - 14.995*sqr(x222) + x96 =E= 0;

e98.. 7.5*x165*x166 - 14.985*sqr(x165) + 2.5*x165*x196 + 7.5*x166*x165 - 2.5*
      x166*x195 - 2.5*x195*x166 - 14.985*sqr(x195) + 7.5*x195*x196 + 2.5*x196*
      x165 + 7.5*x196*x195 + x97 =E= 0;

e99.. 7.5*x165*x166 - 2.5*x165*x196 + 7.5*x166*x165 - 14.985*sqr(x166) + 2.5*
      x166*x195 + 2.5*x195*x166 + 7.5*x195*x196 - 2.5*x196*x165 + 7.5*x196*x195
       - 14.985*sqr(x196) + x98 =E= 0;

e100.. 2.38095238095238*x173*x175 - 4.76190476190476*sqr(x173) + 
       2.38095238095238*x175*x173 - 4.76190476190476*sqr(x203) + 
       2.38095238095238*x203*x205 + 2.38095238095238*x205*x203 + x99 =E= 0;

e101.. 2.38095238095238*x173*x175 + 2.38095238095238*x175*x173 - 
       4.76190476190476*sqr(x175) + 2.38095238095238*x203*x205 + 
       2.38095238095238*x205*x203 - 4.76190476190476*sqr(x205) + x100 =E= 0;

e102.. 11.7647058823529*x167*x168 - 23.5294117647059*sqr(x167) + 
       2.94117647058824*x167*x198 + 11.7647058823529*x168*x167 - 
       2.94117647058824*x168*x197 - 2.94117647058824*x197*x168 - 
       23.5294117647059*sqr(x197) + 11.7647058823529*x197*x198 + 
       2.94117647058824*x198*x167 + 11.7647058823529*x198*x197 + x101 =E= 0;

e103.. 11.7647058823529*x167*x168 - 2.94117647058824*x167*x198 + 
       11.7647058823529*x168*x167 - 23.5294117647059*sqr(x168) + 
       2.94117647058824*x168*x197 + 2.94117647058824*x197*x168 + 
       11.7647058823529*x197*x198 - 2.94117647058824*x198*x167 + 
       11.7647058823529*x198*x197 - 23.5294117647059*sqr(x198) + x102 =E= 0;

e104.. 1.58536585365854*x176*x178 - 3.17073170731707*sqr(x176) + 
       0.731707317073171*x176*x208 + 1.58536585365854*x178*x176 - 
       0.731707317073171*x178*x206 - 0.731707317073171*x206*x178 - 
       3.17073170731707*sqr(x206) + 1.58536585365854*x206*x208 + 
       0.731707317073171*x208*x176 + 1.58536585365854*x208*x206 + x103 =E= 0;

e105.. 1.58536585365854*x176*x178 - 0.731707317073171*x176*x208 + 
       1.58536585365854*x178*x176 - 3.17073170731707*sqr(x178) + 
       0.731707317073171*x178*x206 + 0.731707317073171*x206*x178 + 
       1.58536585365854*x206*x208 - 0.731707317073171*x208*x176 + 
       1.58536585365854*x208*x206 - 3.17073170731707*sqr(x208) + x104 =E= 0;

e106.. 1.13793103448276*x188*x189 - 2.27586206896552*sqr(x188) + 
       0.655172413793103*x188*x219 + 1.13793103448276*x189*x188 - 
       0.655172413793103*x189*x218 - 0.655172413793103*x218*x189 - 
       2.27586206896552*sqr(x218) + 1.13793103448276*x218*x219 + 
       0.655172413793103*x219*x188 + 1.13793103448276*x219*x218 + x105 =E= 0;

e107.. 1.13793103448276*x188*x189 - 0.655172413793103*x188*x219 + 
       1.13793103448276*x189*x188 - 2.27586206896552*sqr(x189) + 
       0.655172413793103*x189*x218 + 0.655172413793103*x218*x189 + 
       1.13793103448276*x218*x219 - 0.655172413793103*x219*x188 + 
       1.13793103448276*x219*x218 - 2.27586206896552*sqr(x219) + x106 =E= 0;

e108.. 1.50334075723831*x187*x188 - 3.00668151447661*sqr(x187) + 
       0.723830734966592*x187*x218 + 1.50334075723831*x188*x187 - 
       0.723830734966592*x188*x217 - 0.723830734966592*x217*x188 - 
       3.00668151447661*sqr(x217) + 1.50334075723831*x217*x218 + 
       0.723830734966592*x218*x187 + 1.50334075723831*x218*x217 + x107 =E= 0;

e109.. 1.50334075723831*x187*x188 - 0.723830734966592*x187*x218 + 
       1.50334075723831*x188*x187 - 3.00668151447661*sqr(x188) + 
       0.723830734966592*x188*x217 + 0.723830734966592*x217*x188 + 
       1.50334075723831*x217*x218 - 0.723830734966592*x218*x187 + 
       1.50334075723831*x218*x217 - 3.00668151447661*sqr(x218) + x108 =E= 0;

e110.. 2.35294117647059*x166*x169 - 4.69588235294118*sqr(x166) + 
       0.588235294117647*x166*x199 + 2.35294117647059*x169*x166 - 
       0.588235294117647*x169*x196 - 0.588235294117647*x196*x169 - 
       4.69588235294118*sqr(x196) + 2.35294117647059*x196*x199 + 
       0.588235294117647*x199*x166 + 2.35294117647059*x199*x196 + x109 =E= 0;

e111.. 2.35294117647059*x166*x169 - 0.588235294117647*x166*x199 + 
       2.35294117647059*x169*x166 - 4.69588235294118*sqr(x169) + 
       0.588235294117647*x169*x196 + 0.588235294117647*x196*x169 + 
       2.35294117647059*x196*x199 - 0.588235294117647*x199*x166 + 
       2.35294117647059*x199*x196 - 4.69588235294118*sqr(x199) + x110 =E= 0;

e112.. 6.03448275862069*x183*x184 - 12.0689655172414*sqr(x183) + 
       2.58620689655172*x183*x214 + 6.03448275862069*x184*x183 - 
       2.58620689655172*x184*x213 - 2.58620689655172*x213*x184 - 
       12.0689655172414*sqr(x213) + 6.03448275862069*x213*x214 + 
       2.58620689655172*x214*x183 + 6.03448275862069*x214*x213 + x111 =E= 0;

e113.. 6.03448275862069*x183*x184 - 2.58620689655172*x183*x214 + 
       6.03448275862069*x184*x183 - 12.0689655172414*sqr(x184) + 
       2.58620689655172*x184*x213 + 2.58620689655172*x213*x184 + 
       6.03448275862069*x213*x214 - 2.58620689655172*x214*x183 + 
       6.03448275862069*x214*x213 - 12.0689655172414*sqr(x214) + x112 =E= 0;

e114.. 1.92307692307692*x168*x176 - 3.84615384615385*sqr(x168) + 
       1.92307692307692*x176*x168 - 3.84615384615385*sqr(x198) + 
       1.92307692307692*x198*x206 + 1.92307692307692*x206*x198 + x113 =E= 0;

e115.. 1.92307692307692*x168*x176 + 1.92307692307692*x176*x168 - 
       3.84615384615385*sqr(x176) + 1.92307692307692*x198*x206 + 
       1.92307692307692*x206*x198 - 3.84615384615385*sqr(x206) + x114 =E= 0;

e116.. 6.03448275862069*x174*x185 - 12.0689655172414*sqr(x174) + 
       2.58620689655172*x174*x215 + 6.03448275862069*x185*x174 - 
       2.58620689655172*x185*x204 - 2.58620689655172*x204*x185 - 
       12.0689655172414*sqr(x204) + 6.03448275862069*x204*x215 + 
       2.58620689655172*x215*x174 + 6.03448275862069*x215*x204 + x115 =E= 0;

e117.. 6.03448275862069*x174*x185 - 2.58620689655172*x174*x215 + 
       6.03448275862069*x185*x174 - 12.0689655172414*sqr(x185) + 
       2.58620689655172*x185*x204 + 2.58620689655172*x204*x185 + 
       6.03448275862069*x204*x215 - 2.58620689655172*x215*x174 + 
       6.03448275862069*x215*x204 - 12.0689655172414*sqr(x215) + x116 =E= 0;

e118.. 4.54545454545455*x173*x174 - 9.09090909090909*sqr(x173) + 
       4.54545454545455*x174*x173 - 9.09090909090909*sqr(x203) + 
       4.54545454545455*x203*x204 + 4.54545454545455*x204*x203 + x117 =E= 0;

e119.. 4.54545454545455*x173*x174 + 4.54545454545455*x174*x173 - 
       9.09090909090909*sqr(x174) + 4.54545454545455*x203*x204 + 
       4.54545454545455*x204*x203 - 9.09090909090909*sqr(x204) + x118 =E= 0;

e120.. 2.98165137614679*x176*x179 - 5.96330275229358*sqr(x176) + 
       1.60550458715596*x176*x209 + 2.98165137614679*x179*x176 - 
       1.60550458715596*x179*x206 - 1.60550458715596*x206*x179 - 
       5.96330275229358*sqr(x206) + 2.98165137614679*x206*x209 + 
       1.60550458715596*x209*x176 + 2.98165137614679*x209*x206 + x119 =E= 0;

e121.. 2.98165137614679*x176*x179 - 1.60550458715596*x176*x209 + 
       2.98165137614679*x179*x176 - 5.96330275229358*sqr(x179) + 
       1.60550458715596*x179*x206 + 1.60550458715596*x206*x179 + 
       2.98165137614679*x206*x209 - 1.60550458715596*x209*x176 + 
       2.98165137614679*x209*x206 - 5.96330275229358*sqr(x209) + x120 =E= 0;

e122.. 3.17073170731707*x182*x183 - 6.34146341463415*sqr(x182) + 
       1.46341463414634*x182*x213 + 3.17073170731707*x183*x182 - 
       1.46341463414634*x183*x212 - 1.46341463414634*x212*x183 - 
       6.34146341463415*sqr(x212) + 3.17073170731707*x212*x213 + 
       1.46341463414634*x213*x182 + 3.17073170731707*x213*x212 + x121 =E= 0;

e123.. 3.17073170731707*x182*x183 - 1.46341463414634*x182*x213 + 
       3.17073170731707*x183*x182 - 6.34146341463415*sqr(x183) + 
       1.46341463414634*x183*x212 + 1.46341463414634*x212*x183 + 
       3.17073170731707*x212*x213 - 1.46341463414634*x213*x182 + 
       3.17073170731707*x213*x212 - 6.34146341463415*sqr(x213) + x122 =E= 0;

e124.. 1.25*x191*x192 + 1.25*x192*x191 - 2.5*sqr(x192) + 1.25*x221*x222 + 1.25*
       x222*x221 - 2.5*sqr(x222) + x123 =E= 0;

e125.. 1.25*x191*x192 - 2.5*sqr(x191) + 1.25*x192*x191 - 2.5*sqr(x221) + 1.25*
       x221*x222 + 1.25*x222*x221 + x124 =E= 0;

e126.. 11.7647058823529*x170*x172 - 23.5294117647059*sqr(x170) + 
       2.94117647058824*x170*x202 + 11.7647058823529*x172*x170 - 
       2.94117647058824*x172*x200 - 2.94117647058824*x200*x172 - 
       23.5294117647059*sqr(x200) + 11.7647058823529*x200*x202 + 
       2.94117647058824*x202*x170 + 11.7647058823529*x202*x200 + x125 =E= 0;

e127.. 11.7647058823529*x170*x172 - 2.94117647058824*x170*x202 + 
       11.7647058823529*x172*x170 - 23.5294117647059*sqr(x172) + 
       2.94117647058824*x172*x200 + 2.94117647058824*x200*x172 + 
       11.7647058823529*x200*x202 - 2.94117647058824*x202*x170 + 
       11.7647058823529*x202*x200 - 23.5294117647059*sqr(x202) + x126 =E= 0;

e128.. 1.86832740213523*x189*x191 - 3.73665480427046*sqr(x189) + 
       0.97864768683274*x189*x221 + 1.86832740213523*x191*x189 - 
       0.97864768683274*x191*x219 - 0.97864768683274*x219*x191 - 
       3.73665480427046*sqr(x219) + 1.86832740213523*x219*x221 + 
       0.97864768683274*x221*x189 + 1.86832740213523*x221*x219 + x127 =E= 0;

e129.. 1.86832740213523*x189*x191 - 0.97864768683274*x189*x221 + 
       1.86832740213523*x191*x189 - 3.73665480427046*sqr(x191) + 
       0.97864768683274*x191*x219 + 0.97864768683274*x219*x191 + 
       1.86832740213523*x219*x221 - 0.97864768683274*x221*x189 + 
       1.86832740213523*x221*x219 - 3.73665480427046*sqr(x221) + x128 =E= 0;

e130.. 3.55029585798817*x169*x171 - 7.09559171597633*sqr(x169) + 
       1.4792899408284*x169*x201 + 3.55029585798817*x171*x169 - 1.4792899408284
       *x171*x199 - 1.4792899408284*x199*x171 - 7.09559171597633*sqr(x199) + 
       3.55029585798817*x199*x201 + 1.4792899408284*x201*x169 + 
       3.55029585798817*x201*x199 + x129 =E= 0;

e131.. 3.55029585798817*x169*x171 - 1.4792899408284*x169*x201 + 
       3.55029585798817*x171*x169 - 7.09559171597633*sqr(x171) + 
       1.4792899408284*x171*x199 + 1.4792899408284*x199*x171 + 3.55029585798817
       *x199*x201 - 1.4792899408284*x201*x169 + 3.55029585798817*x201*x199 - 
       7.09559171597633*sqr(x201) + x130 =E= 0;

e132.. 20*x185*x186 - 40*sqr(x185) + 10*x185*x216 + 20*x186*x185 - 10*x186*x215
        - 10*x215*x186 - 40*sqr(x215) + 20*x215*x216 + 10*x216*x185 + 20*x216*
       x215 + x131 =E= 0;

e133.. 20*x185*x186 - 10*x185*x216 + 20*x186*x185 - 40*sqr(x186) + 10*x186*x215
        + 10*x215*x186 + 20*x215*x216 - 10*x216*x185 + 20*x216*x215 - 40*sqr(
       x216) + x132 =E= 0;

e134.. 11.7647058823529*x168*x170 - 23.5294117647059*sqr(x168) + 
       2.94117647058824*x168*x200 + 11.7647058823529*x170*x168 - 
       2.94117647058824*x170*x198 - 2.94117647058824*x198*x170 - 
       23.5294117647059*sqr(x198) + 11.7647058823529*x198*x200 + 
       2.94117647058824*x200*x168 + 11.7647058823529*x200*x198 + x133 =E= 0;

e135.. 11.7647058823529*x168*x170 - 2.94117647058824*x168*x200 + 
       11.7647058823529*x170*x168 - 23.5294117647059*sqr(x170) + 
       2.94117647058824*x170*x198 + 2.94117647058824*x198*x170 + 
       11.7647058823529*x198*x200 - 2.94117647058824*x200*x168 + 
       11.7647058823529*x200*x198 - 23.5294117647059*sqr(x200) + x134 =E= 0;

e136.. 2.01149425287356*x174*x184 - 4.02298850574713*sqr(x174) + 
       0.862068965517241*x174*x214 + 2.01149425287356*x184*x174 - 
       0.862068965517241*x184*x204 - 0.862068965517241*x204*x184 - 
       4.02298850574713*sqr(x204) + 2.01149425287356*x204*x214 + 
       0.862068965517241*x214*x174 + 2.01149425287356*x214*x204 + x135 =E= 0;

e137.. 2.01149425287356*x174*x184 - 0.862068965517241*x174*x214 + 
       2.01149425287356*x184*x174 - 4.02298850574713*sqr(x184) + 
       0.862068965517241*x184*x204 + 0.862068965517241*x204*x184 + 
       2.01149425287356*x204*x214 - 0.862068965517241*x214*x174 + 
       2.01149425287356*x214*x204 - 4.02298850574713*sqr(x214) + x136 =E= 0;

e138.. 1.92307692307692*x186*x188 - 3.84615384615385*sqr(x186) + 
       1.28205128205128*x186*x218 + 1.92307692307692*x188*x186 - 
       1.28205128205128*x188*x216 - 1.28205128205128*x216*x188 - 
       3.84615384615385*sqr(x216) + 1.92307692307692*x216*x218 + 
       1.28205128205128*x218*x186 + 1.92307692307692*x218*x216 + x137 =E= 0;

e139.. 1.92307692307692*x186*x188 - 1.28205128205128*x186*x218 + 
       1.92307692307692*x188*x186 - 3.84615384615385*sqr(x188) + 
       1.28205128205128*x188*x216 + 1.28205128205128*x216*x188 + 
       1.92307692307692*x216*x218 - 1.28205128205128*x218*x186 + 
       1.92307692307692*x218*x216 - 3.84615384615385*sqr(x218) + x138 =E= 0;

e140.. 0.64878892733564*x191*x194 - 1.29757785467128*sqr(x191) + 
       0.346020761245675*x191*x224 + 0.64878892733564*x194*x191 - 
       0.346020761245675*x194*x221 - 0.346020761245675*x221*x194 - 
       1.29757785467128*sqr(x221) + 0.64878892733564*x221*x224 + 
       0.346020761245675*x224*x191 + 0.64878892733564*x224*x221 + x139 =E= 0;

e141.. 0.64878892733564*x191*x194 - 0.346020761245675*x191*x224 + 
       0.64878892733564*x194*x191 - 1.29757785467128*sqr(x194) + 
       0.346020761245675*x194*x221 + 0.346020761245675*x221*x194 + 
       0.64878892733564*x221*x224 - 0.346020761245675*x224*x191 + 
       0.64878892733564*x224*x221 - 1.29757785467128*sqr(x224) + x140 =E= 0;

e142.. 5.47945205479452*x174*x181 - 10.958904109589*sqr(x174) + 
       2.05479452054794*x174*x211 + 5.47945205479452*x181*x174 - 
       2.05479452054794*x181*x204 - 2.05479452054794*x204*x181 - 
       10.958904109589*sqr(x204) + 5.47945205479452*x204*x211 + 
       2.05479452054794*x211*x174 + 5.47945205479452*x211*x204 + x141 =E= 0;

e143.. 5.47945205479452*x174*x181 - 2.05479452054794*x174*x211 + 
       5.47945205479452*x181*x174 - 10.958904109589*sqr(x181) + 
       2.05479452054794*x181*x204 + 2.05479452054794*x204*x181 + 
       5.47945205479452*x204*x211 - 2.05479452054794*x211*x174 + 
       5.47945205479452*x211*x204 - 10.958904109589*sqr(x211) + x142 =E= 0;

e144.. 2.29357798165138*x172*x192 - 4.57715596330275*sqr(x172) + 
       0.688073394495413*x172*x222 + 2.29357798165138*x192*x172 - 
       0.688073394495413*x192*x202 - 0.688073394495413*x202*x192 - 
       4.57715596330275*sqr(x202) + 2.29357798165138*x202*x222 + 
       0.688073394495413*x222*x172 + 2.29357798165138*x222*x202 + x143 =E= 0;

e145.. 2.29357798165138*x172*x192 - 0.688073394495413*x172*x222 + 
       2.29357798165138*x192*x172 - 4.57715596330275*sqr(x192) + 
       0.688073394495413*x192*x202 + 0.688073394495413*x202*x192 + 
       2.29357798165138*x202*x222 - 0.688073394495413*x222*x172 + 
       2.29357798165138*x222*x202 - 4.57715596330275*sqr(x222) + x144 =E= 0;

e146.. 2.07900207900208*x176*x180 - 4.15800415800416*sqr(x176) + 
       0.935550935550935*x176*x210 + 2.07900207900208*x180*x176 - 
       0.935550935550935*x180*x206 - 0.935550935550935*x206*x180 - 
       4.15800415800416*sqr(x206) + 2.07900207900208*x206*x210 + 
       0.935550935550935*x210*x176 + 2.07900207900208*x210*x206 + x145 =E= 0;

e147.. 2.07900207900208*x176*x180 - 0.935550935550935*x176*x210 + 
       2.07900207900208*x180*x176 - 4.15800415800416*sqr(x180) + 
       0.935550935550935*x180*x206 + 0.935550935550935*x206*x180 + 
       2.07900207900208*x206*x210 - 0.935550935550935*x210*x176 + 
       2.07900207900208*x210*x206 - 4.15800415800416*sqr(x210) + x146 =E= 0;

e148.. 2.38095238095238*x170*x173 - 4.76190476190476*sqr(x170) + 
       2.38095238095238*x173*x170 - 4.76190476190476*sqr(x200) + 
       2.38095238095238*x200*x203 + 2.38095238095238*x203*x200 + x147 =E= 0;

e149.. 2.38095238095238*x170*x173 + 2.38095238095238*x173*x170 - 
       4.76190476190476*sqr(x173) + 2.38095238095238*x200*x203 + 
       2.38095238095238*x203*x200 - 4.76190476190476*sqr(x203) + x148 =E= 0;

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

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

e152.. 0.918318028032866*x189*x190 - 1.83663605606573*sqr(x189) + 
       0.604156597390043*x189*x220 + 0.918318028032866*x190*x189 - 
       0.604156597390043*x190*x219 - 0.604156597390043*x219*x190 - 
       1.83663605606573*sqr(x219) + 0.918318028032866*x219*x220 + 
       0.604156597390043*x220*x189 + 0.918318028032866*x220*x219 + x151 =E= 0;

e153.. 0.918318028032866*x189*x190 - 0.604156597390043*x189*x220 + 
       0.918318028032866*x190*x189 - 1.83663605606573*sqr(x190) + 
       0.604156597390043*x190*x219 + 0.604156597390043*x219*x190 + 
       0.918318028032866*x219*x220 - 0.604156597390043*x220*x189 + 
       0.918318028032866*x220*x219 - 1.83663605606573*sqr(x220) + x152 =E= 0;

e154.. 1.81818181818182*x179*x182 - 3.63636363636364*sqr(x179) + 
       0.909090909090909*x179*x212 + 1.81818181818182*x182*x179 - 
       0.909090909090909*x182*x209 - 0.909090909090909*x209*x182 - 
       3.63636363636364*sqr(x209) + 1.81818181818182*x209*x212 + 
       0.909090909090909*x212*x179 + 1.81818181818182*x212*x209 + x153 =E= 0;

e155.. 1.81818181818182*x179*x182 - 0.909090909090909*x179*x212 + 
       1.81818181818182*x182*x179 - 3.63636363636364*sqr(x182) + 
       0.909090909090909*x182*x209 + 0.909090909090909*x209*x182 + 
       1.81818181818182*x209*x212 - 0.909090909090909*x212*x179 + 
       1.81818181818182*x212*x209 - 3.63636363636364*sqr(x212) + x154 =E= 0;

e156.. 2.23529411764706*x180*x181 - 4.47058823529412*sqr(x180) + 
       0.941176470588235*x180*x211 + 2.23529411764706*x181*x180 - 
       0.941176470588235*x181*x210 - 0.941176470588235*x210*x181 - 
       4.47058823529412*sqr(x210) + 2.23529411764706*x210*x211 + 
       0.941176470588235*x211*x180 + 2.23529411764706*x211*x210 + x155 =E= 0;

e157.. 2.23529411764706*x180*x181 - 0.941176470588235*x180*x211 + 
       2.23529411764706*x181*x180 - 4.47058823529412*sqr(x181) + 
       0.941176470588235*x181*x210 + 0.941176470588235*x210*x181 + 
       2.23529411764706*x210*x211 - 0.941176470588235*x211*x180 + 
       2.23529411764706*x211*x210 - 4.47058823529412*sqr(x211) + x156 =E= 0;

e158.. 2.5*x166*x170 - 4.99*sqr(x166) + 0.833333333333333*x166*x200 + 2.5*x170*
       x166 - 0.833333333333333*x170*x196 - 0.833333333333333*x196*x170 - 4.99*
       sqr(x196) + 2.5*x196*x200 + 0.833333333333333*x200*x166 + 2.5*x200*x196
        + x157 =E= 0;

e159.. 2.5*x166*x170 - 0.833333333333333*x166*x200 + 2.5*x170*x166 - 4.99*sqr(
       x170) + 0.833333333333333*x170*x196 + 0.833333333333333*x196*x170 + 2.5*
       x196*x200 - 0.833333333333333*x200*x166 + 2.5*x200*x196 - 4.99*sqr(x200)
        + x158 =E= 0;

e160.. 2.61538461538461*x166*x168 - 5.22076923076923*sqr(x166) + 
       0.923076923076923*x166*x198 + 2.61538461538461*x168*x166 - 
       0.923076923076923*x168*x196 - 0.923076923076923*x196*x168 - 
       5.22076923076923*sqr(x196) + 2.61538461538461*x196*x198 + 
       0.923076923076923*x198*x166 + 2.61538461538461*x198*x196 + x159 =E= 0;

e161.. 2.61538461538461*x166*x168 - 0.923076923076923*x166*x198 + 
       2.61538461538461*x168*x166 - 5.22076923076923*sqr(x168) + 
       0.923076923076923*x168*x196 + 0.923076923076923*x196*x168 + 
       2.61538461538461*x196*x198 - 0.923076923076923*x198*x166 + 
       2.61538461538461*x198*x196 - 5.22076923076923*sqr(x198) + x160 =E= 0;

e162.. 2.46113989637306*x165*x167 - 4.91227979274611*sqr(x165) + 
       0.647668393782383*x165*x197 + 2.46113989637306*x167*x165 - 
       0.647668393782383*x167*x195 - 0.647668393782383*x195*x167 - 
       4.91227979274611*sqr(x195) + 2.46113989637306*x195*x197 + 
       0.647668393782383*x197*x165 + 2.46113989637306*x197*x195 + x161 =E= 0;

e163.. 2.46113989637306*x165*x167 - 0.647668393782383*x165*x197 + 
       2.46113989637306*x167*x165 - 4.91227979274611*sqr(x167) + 
       0.647668393782383*x167*x195 + 0.647668393782383*x195*x167 + 
       2.46113989637306*x195*x197 - 0.647668393782383*x197*x165 + 
       2.46113989637306*x197*x195 - 4.91227979274611*sqr(x197) + x162 =E= 0;

e164.. 0.865051903114187*x193*x194 - 1.73010380622837*sqr(x193) + 
       0.461361014994233*x193*x224 + 0.865051903114187*x194*x193 - 
       0.461361014994233*x194*x223 - 0.461361014994233*x223*x194 - 
       1.73010380622837*sqr(x223) + 0.865051903114187*x223*x224 + 
       0.461361014994233*x224*x193 + 0.865051903114187*x224*x223 + x163 =E= 0;

e165.. 0.865051903114187*x193*x194 - 0.461361014994233*x193*x224 + 
       0.865051903114187*x194*x193 - 1.73010380622837*sqr(x194) + 
       0.461361014994233*x194*x223 + 0.461361014994233*x223*x194 + 
       0.865051903114187*x223*x224 - 0.461361014994233*x224*x193 + 
       0.865051903114187*x224*x223 - 1.73010380622837*sqr(x224) + 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..    x225 =L= 0.8;

e309..    x226 =L= 0.8;

e310..    x227 =L= 0.4;

e311..    x228 =L= 0.5;

e312..    x229 =L= 0.3;

e313..    x230 =L= 0.55;

e314..    x225 =G= 0;

e315..    x226 =G= 0;

e316..    x227 =G= 0;

e317..    x228 =G= 0;

e318..    x229 =G= 0;

e319..    x230 =G= 0;

e320..    x231 =L= 1.5;

e321..    x232 =L= 0.6;

e322..    x233 =L= 0.447;

e323..    x234 =L= 0.625;

e324..    x235 =L= 0.4;

e325..    x236 =L= 0.487;

e326..    x231 =G= -0.2;

e327..    x232 =G= -0.2;

e328..    x233 =G= -0.15;

e329..    x234 =G= -0.15;

e330..    x235 =G= -0.1;

e331..    x236 =G= -0.15;

e332..    x195 =E= 0;

e333..    x15 + x79 - x225 =E= 0;

e334..    x16 + x27 + x75 + x77 - x226 =E= -0.217;

e335..    x2 - x227 =E= 0;

e336..    x10 + x50 + x55 - x228 =E= 0;

e337..    x25 + x68 - x229 =E= -0.032;

e338..    x3 + x42 + x46 + x57 - x230 =E= 0;

e339..    x97 + x161 - x231 =E= 0;

e340..    x98 + x109 + x157 + x159 - x232 =E= -0.127;

e341..    x84 - x233 =E= 0;

e342..    x92 + x132 + x137 - x234 =E= 0;

e343..    x107 + x150 - x235 =E= -0.016;

e344..    x85 + x124 + x128 + x139 - x236 =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 NLP $set NLP NLP
Solve m using %NLP% minimizing objvar;


Last updated: 2022-08-11 Git hash: f176bd52
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