MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance ringpack_10_2
This is an application from the tube industry, which is called Recursive Circle Packing Problem. The original task is to minimize the total number of rectangles to pack a given set of rings. Unfortunately, this variant is way too difficult for current global solvers (even for examples with 4-5 rings). An easier variant is to minimize free space in a given set of rectangles. This instance is for the variant with 10 rings and 2 rectangles.
| Formatsⓘ | ams gms lp mod nl osil pip py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | -20.85821766 (ANTIGONE) -20.85821766 (BARON) -20.85821766 (COUENNE) -20.85821766 (GUROBI) -20.85821766 (LINDO) -20.06649344 (SCIP) -20.85821766 (SHOT) |
| Referencesⓘ | Gleixner, Ambros, Maher, Stephan, Müller, Benjamin, and Pedroso, João Pedro, Exact Methods for Recursive Circle Packing, Tech. Rep. 17-07, 2017. |
| Applicationⓘ | Geometry |
| Added to libraryⓘ | 12 Mar 2018 |
| Problem typeⓘ | MBQCP |
| #Variablesⓘ | 80 |
| #Binary Variablesⓘ | 60 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 20 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 60 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 475 |
| #Linear Constraintsⓘ | 55 |
| #Quadratic Constraintsⓘ | 420 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 2670 |
| #Nonlinear Nonzeros in Jacobianⓘ | 1680 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 200 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 20 |
| #Blocks in Hessian of Lagrangianⓘ | 2 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 10 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 10 |
| Average blocksize in Hessian of Lagrangianⓘ | 10.0 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 9.4654e-02 |
| Maximal coefficientⓘ | 1.6410e+02 |
| Infeasibility of initial pointⓘ | 0 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 476 1 380 95 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 81 21 60 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 2731 1051 1680 0
*
* Solve m using MIQCP minimizing objvar;
Variables objvar,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18
,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35
,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51,b52
,b53,b54,b55,b56,b57,b58,b59,b60,b61,x62,x63,x64,x65,x66,x67,x68,x69
,x70,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81;
Binary Variables b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18
,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35
,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51,b52
,b53,b54,b55,b56,b57,b58,b59,b60,b61;
Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
,e20,e21,e22,e23,e24,e25,e26,e27,e28,e29,e30,e31,e32,e33,e34,e35,e36
,e37,e38,e39,e40,e41,e42,e43,e44,e45,e46,e47,e48,e49,e50,e51,e52,e53
,e54,e55,e56,e57,e58,e59,e60,e61,e62,e63,e64,e65,e66,e67,e68,e69,e70
,e71,e72,e73,e74,e75,e76,e77,e78,e79,e80,e81,e82,e83,e84,e85,e86,e87
,e88,e89,e90,e91,e92,e93,e94,e95,e96,e97,e98,e99,e100,e101,e102,e103
,e104,e105,e106,e107,e108,e109,e110,e111,e112,e113,e114,e115,e116
,e117,e118,e119,e120,e121,e122,e123,e124,e125,e126,e127,e128,e129
,e130,e131,e132,e133,e134,e135,e136,e137,e138,e139,e140,e141,e142
,e143,e144,e145,e146,e147,e148,e149,e150,e151,e152,e153,e154,e155
,e156,e157,e158,e159,e160,e161,e162,e163,e164,e165,e166,e167,e168
,e169,e170,e171,e172,e173,e174,e175,e176,e177,e178,e179,e180,e181
,e182,e183,e184,e185,e186,e187,e188,e189,e190,e191,e192,e193,e194
,e195,e196,e197,e198,e199,e200,e201,e202,e203,e204,e205,e206,e207
,e208,e209,e210,e211,e212,e213,e214,e215,e216,e217,e218,e219,e220
,e221,e222,e223,e224,e225,e226,e227,e228,e229,e230,e231,e232,e233
,e234,e235,e236,e237,e238,e239,e240,e241,e242,e243,e244,e245,e246
,e247,e248,e249,e250,e251,e252,e253,e254,e255,e256,e257,e258,e259
,e260,e261,e262,e263,e264,e265,e266,e267,e268,e269,e270,e271,e272
,e273,e274,e275,e276,e277,e278,e279,e280,e281,e282,e283,e284,e285
,e286,e287,e288,e289,e290,e291,e292,e293,e294,e295,e296,e297,e298
,e299,e300,e301,e302,e303,e304,e305,e306,e307,e308,e309,e310,e311
,e312,e313,e314,e315,e316,e317,e318,e319,e320,e321,e322,e323,e324
,e325,e326,e327,e328,e329,e330,e331,e332,e333,e334,e335,e336,e337
,e338,e339,e340,e341,e342,e343,e344,e345,e346,e347,e348,e349,e350
,e351,e352,e353,e354,e355,e356,e357,e358,e359,e360,e361,e362,e363
,e364,e365,e366,e367,e368,e369,e370,e371,e372,e373,e374,e375,e376
,e377,e378,e379,e380,e381,e382,e383,e384,e385,e386,e387,e388,e389
,e390,e391,e392,e393,e394,e395,e396,e397,e398,e399,e400,e401,e402
,e403,e404,e405,e406,e407,e408,e409,e410,e411,e412,e413,e414,e415
,e416,e417,e418,e419,e420,e421,e422,e423,e424,e425,e426,e427,e428
,e429,e430,e431,e432,e433,e434,e435,e436,e437,e438,e439,e440,e441
,e442,e443,e444,e445,e446,e447,e448,e449,e450,e451,e452,e453,e454
,e455,e456,e457,e458,e459,e460,e461,e462,e463,e464,e465,e466,e467
,e468,e469,e470,e471,e472,e473,e474,e475,e476;
e1.. objvar + 0.287403606378025*b2 + 0.287403606378025*b3
+ 0.287403606378025*b4 + 0.287403606378025*b5 + 0.0946538180425961*b6
+ 0.0946538180425961*b7 + 0.0946538180425961*b8 + 0.0946538180425961*b9
+ 0.584516458645496*b10 + 0.584516458645496*b11 + 0.584516458645496*b12
+ 0.584516458645496*b13 + 1.29409755392315*b14 + 1.29409755392315*b15
+ 1.29409755392315*b16 + 1.29409755392315*b17 + 2.08582176557546*b18
+ 2.08582176557546*b19 + 2.08582176557546*b20 + 2.08582176557546*b21
+ 2.08582176557546*b22 + 2.08582176557546*b23 + 2.08582176557546*b24
+ 2.08582176557546*b25 + 2.08582176557546*b26 + 2.08582176557546*b27
+ 2.08582176557546*b28 + 2.08582176557546*b29 + 2.08582176557546*b30
+ 2.08582176557546*b31 + 2.08582176557546*b32 + 2.08582176557546*b33
+ 2.08582176557546*b34 + 2.08582176557546*b35 + 2.08582176557546*b36
+ 2.08582176557546*b37 + 2.08582176557546*b38 + 2.08582176557546*b39
+ 2.08582176557546*b40 + 2.08582176557546*b41 + 2.08582176557546*b42
+ 2.08582176557546*b43 + 2.08582176557546*b44 + 2.08582176557546*b45
+ 2.08582176557546*b46 + 2.08582176557546*b47 + 2.08582176557546*b48
+ 2.08582176557546*b49 + 2.08582176557546*b50 + 2.08582176557546*b51
+ 2.08582176557546*b52 + 2.08582176557546*b53 + 2.08582176557546*b54
+ 2.08582176557546*b55 + 2.08582176557546*b56 + 2.08582176557546*b57
+ 2.08582176557546*b58 + 2.08582176557546*b59 + 2.08582176557546*b60
+ 2.08582176557546*b61 =E= 0;
e2.. sqr(x62) + sqr(x63) + sqr(x64) + sqr(x65) - 2*x62*x64 - 2*x63*x65
- 1.436939228176*b2 - 1.436939228176*b4 =G= -1.436939228176;
e3.. sqr(x62) + sqr(x63) + sqr(x64) + sqr(x65) - 2*x62*x64 - 2*x63*x65
- 1.436939228176*b3 - 1.436939228176*b5 =G= -1.436939228176;
e4.. sqr(x62) + sqr(x63) + sqr(x66) + sqr(x67) - 2*x62*x66 - 2*x63*x67
- 0.887203867225*b2 - 0.887203867225*b6 =G= -0.887203867225;
e5.. sqr(x62) + sqr(x63) + sqr(x66) + sqr(x67) - 2*x62*x66 - 2*x63*x67
- 0.887203867225*b3 - 0.887203867225*b7 =G= -0.887203867225;
e6.. sqr(x62) + sqr(x63) + sqr(x68) + sqr(x69) - 2*x62*x68 - 2*x63*x69
- 0.887203867225*b2 - 0.887203867225*b8 =G= -0.887203867225;
e7.. sqr(x62) + sqr(x63) + sqr(x68) + sqr(x69) - 2*x62*x68 - 2*x63*x69
- 0.887203867225*b3 - 0.887203867225*b9 =G= -0.887203867225;
e8.. sqr(x62) + sqr(x63) + sqr(x70) + sqr(x71) - 2*x63*x71 - 2*x62*x70
- 2.118573403024*b2 - 2.118573403024*b10 =G= -2.118573403024;
e9.. sqr(x62) + sqr(x63) + sqr(x70) + sqr(x71) - 2*x63*x71 - 2*x62*x70
- 2.118573403024*b3 - 2.118573403024*b11 =G= -2.118573403024;
e10.. sqr(x62) + sqr(x63) + sqr(x72) + sqr(x73) - 2*x62*x72 - 2*x63*x73
- 2.118573403024*b2 - 2.118573403024*b12 =G= -2.118573403024;
e11.. sqr(x62) + sqr(x63) + sqr(x72) + sqr(x73) - 2*x62*x72 - 2*x63*x73
- 2.118573403024*b3 - 2.118573403024*b13 =G= -2.118573403024;
e12.. sqr(x62) + sqr(x63) + sqr(x74) + sqr(x75) - 2*x63*x75 - 2*x62*x74
- 4.509770398884*b2 - 4.509770398884*b14 =G= -4.509770398884;
e13.. sqr(x62) + sqr(x63) + sqr(x74) + sqr(x75) - 2*x63*x75 - 2*x62*x74
- 4.509770398884*b3 - 4.509770398884*b15 =G= -4.509770398884;
e14.. sqr(x62) + sqr(x63) + sqr(x76) + sqr(x77) - 2*x63*x77 - 2*x62*x76
- 4.509770398884*b2 - 4.509770398884*b16 =G= -4.509770398884;
e15.. sqr(x62) + sqr(x63) + sqr(x76) + sqr(x77) - 2*x63*x77 - 2*x62*x76
- 4.509770398884*b3 - 4.509770398884*b17 =G= -4.509770398884;
e16.. sqr(x62) + sqr(x63) + sqr(x78) + sqr(x79) - 2*x62*x78 - 2*x63*x79
- 6.408451746064*b2 - 6.408451746064*b18 =G= -6.408451746064;
e17.. sqr(x62) + sqr(x63) + sqr(x78) + sqr(x79) - 2*x62*x78 - 2*x63*x79
- 6.408451746064*b3 - 6.408451746064*b19 =G= -6.408451746064;
e18.. sqr(x62) + sqr(x63) + sqr(x80) + sqr(x81) - 2*x62*x80 - 2*x63*x81
- 6.408451746064*b2 - 6.408451746064*b20 =G= -6.408451746064;
e19.. sqr(x62) + sqr(x63) + sqr(x80) + sqr(x81) - 2*x62*x80 - 2*x63*x81
- 6.408451746064*b3 - 6.408451746064*b21 =G= -6.408451746064;
e20.. sqr(x62) + sqr(x63) + sqr(x64) + sqr(x65) - 2*x62*x64 - 2*x63*x65
- 1.436939228176*b2 - 1.436939228176*b4 =G= -1.436939228176;
e21.. sqr(x62) + sqr(x63) + sqr(x64) + sqr(x65) - 2*x62*x64 - 2*x63*x65
- 1.436939228176*b3 - 1.436939228176*b5 =G= -1.436939228176;
e22.. sqr(x64) + sqr(x65) + sqr(x66) + sqr(x67) - 2*x64*x66 - 2*x65*x67
- 0.887203867225*b4 - 0.887203867225*b6 =G= -0.887203867225;
e23.. sqr(x64) + sqr(x65) + sqr(x66) + sqr(x67) - 2*x64*x66 - 2*x65*x67
- 0.887203867225*b5 - 0.887203867225*b7 =G= -0.887203867225;
e24.. sqr(x64) + sqr(x65) + sqr(x68) + sqr(x69) - 2*x64*x68 - 2*x65*x69
- 0.887203867225*b4 - 0.887203867225*b8 =G= -0.887203867225;
e25.. sqr(x64) + sqr(x65) + sqr(x68) + sqr(x69) - 2*x64*x68 - 2*x65*x69
- 0.887203867225*b5 - 0.887203867225*b9 =G= -0.887203867225;
e26.. sqr(x64) + sqr(x65) + sqr(x70) + sqr(x71) - 2*x65*x71 - 2*x64*x70
- 2.118573403024*b4 - 2.118573403024*b10 =G= -2.118573403024;
e27.. sqr(x64) + sqr(x65) + sqr(x70) + sqr(x71) - 2*x65*x71 - 2*x64*x70
- 2.118573403024*b5 - 2.118573403024*b11 =G= -2.118573403024;
e28.. sqr(x64) + sqr(x65) + sqr(x72) + sqr(x73) - 2*x65*x73 - 2*x64*x72
- 2.118573403024*b4 - 2.118573403024*b12 =G= -2.118573403024;
e29.. sqr(x64) + sqr(x65) + sqr(x72) + sqr(x73) - 2*x65*x73 - 2*x64*x72
- 2.118573403024*b5 - 2.118573403024*b13 =G= -2.118573403024;
e30.. sqr(x64) + sqr(x65) + sqr(x74) + sqr(x75) - 2*x64*x74 - 2*x65*x75
- 4.509770398884*b4 - 4.509770398884*b14 =G= -4.509770398884;
e31.. sqr(x64) + sqr(x65) + sqr(x74) + sqr(x75) - 2*x64*x74 - 2*x65*x75
- 4.509770398884*b5 - 4.509770398884*b15 =G= -4.509770398884;
e32.. sqr(x64) + sqr(x65) + sqr(x76) + sqr(x77) - 2*x65*x77 - 2*x64*x76
- 4.509770398884*b4 - 4.509770398884*b16 =G= -4.509770398884;
e33.. sqr(x64) + sqr(x65) + sqr(x76) + sqr(x77) - 2*x65*x77 - 2*x64*x76
- 4.509770398884*b5 - 4.509770398884*b17 =G= -4.509770398884;
e34.. sqr(x64) + sqr(x65) + sqr(x78) + sqr(x79) - 2*x65*x79 - 2*x64*x78
- 6.408451746064*b4 - 6.408451746064*b18 =G= -6.408451746064;
e35.. sqr(x64) + sqr(x65) + sqr(x78) + sqr(x79) - 2*x65*x79 - 2*x64*x78
- 6.408451746064*b5 - 6.408451746064*b19 =G= -6.408451746064;
e36.. sqr(x64) + sqr(x65) + sqr(x80) + sqr(x81) - 2*x65*x81 - 2*x64*x80
- 6.408451746064*b4 - 6.408451746064*b20 =G= -6.408451746064;
e37.. sqr(x64) + sqr(x65) + sqr(x80) + sqr(x81) - 2*x65*x81 - 2*x64*x80
- 6.408451746064*b5 - 6.408451746064*b21 =G= -6.408451746064;
e38.. sqr(x62) + sqr(x63) + sqr(x66) + sqr(x67) - 2*x62*x66 - 2*x63*x67
- 0.887203867225*b2 - 0.887203867225*b6 =G= -0.887203867225;
e39.. sqr(x62) + sqr(x63) + sqr(x66) + sqr(x67) - 2*x62*x66 - 2*x63*x67
- 0.887203867225*b3 - 0.887203867225*b7 =G= -0.887203867225;
e40.. sqr(x64) + sqr(x65) + sqr(x66) + sqr(x67) - 2*x64*x66 - 2*x65*x67
- 0.887203867225*b4 - 0.887203867225*b6 =G= -0.887203867225;
e41.. sqr(x64) + sqr(x65) + sqr(x66) + sqr(x67) - 2*x64*x66 - 2*x65*x67
- 0.887203867225*b5 - 0.887203867225*b7 =G= -0.887203867225;
e42.. sqr(x66) + sqr(x67) + sqr(x68) + sqr(x69) - 2*x66*x68 - 2*x67*x69
- 0.469370231236*b6 - 0.469370231236*b8 =G= -0.469370231236;
e43.. sqr(x66) + sqr(x67) + sqr(x68) + sqr(x69) - 2*x66*x68 - 2*x67*x69
- 0.469370231236*b7 - 0.469370231236*b9 =G= -0.469370231236;
e44.. sqr(x66) + sqr(x67) + sqr(x70) + sqr(x71) - 2*x67*x71 - 2*x66*x70
- 1.436936830729*b6 - 1.436936830729*b10 =G= -1.436936830729;
e45.. sqr(x66) + sqr(x67) + sqr(x70) + sqr(x71) - 2*x67*x71 - 2*x66*x70
- 1.436936830729*b7 - 1.436936830729*b11 =G= -1.436936830729;
e46.. sqr(x66) + sqr(x67) + sqr(x72) + sqr(x73) - 2*x66*x72 - 2*x67*x73
- 1.436936830729*b6 - 1.436936830729*b12 =G= -1.436936830729;
e47.. sqr(x66) + sqr(x67) + sqr(x72) + sqr(x73) - 2*x66*x72 - 2*x67*x73
- 1.436936830729*b7 - 1.436936830729*b13 =G= -1.436936830729;
e48.. sqr(x66) + sqr(x67) + sqr(x74) + sqr(x75) - 2*x67*x75 - 2*x66*x74
- 3.484990776969*b6 - 3.484990776969*b14 =G= -3.484990776969;
e49.. sqr(x66) + sqr(x67) + sqr(x74) + sqr(x75) - 2*x67*x75 - 2*x66*x74
- 3.484990776969*b7 - 3.484990776969*b15 =G= -3.484990776969;
e50.. sqr(x66) + sqr(x67) + sqr(x76) + sqr(x77) - 2*x66*x76 - 2*x67*x77
- 3.484990776969*b6 - 3.484990776969*b16 =G= -3.484990776969;
e51.. sqr(x66) + sqr(x67) + sqr(x76) + sqr(x77) - 2*x66*x76 - 2*x67*x77
- 3.484990776969*b7 - 3.484990776969*b17 =G= -3.484990776969;
e52.. sqr(x66) + sqr(x67) + sqr(x78) + sqr(x79) - 2*x67*x79 - 2*x66*x78
- 5.174182750489*b6 - 5.174182750489*b18 =G= -5.174182750489;
e53.. sqr(x66) + sqr(x67) + sqr(x78) + sqr(x79) - 2*x67*x79 - 2*x66*x78
- 5.174182750489*b7 - 5.174182750489*b19 =G= -5.174182750489;
e54.. sqr(x66) + sqr(x67) + sqr(x80) + sqr(x81) - 2*x67*x81 - 2*x66*x80
- 5.174182750489*b6 - 5.174182750489*b20 =G= -5.174182750489;
e55.. sqr(x66) + sqr(x67) + sqr(x80) + sqr(x81) - 2*x67*x81 - 2*x66*x80
- 5.174182750489*b7 - 5.174182750489*b21 =G= -5.174182750489;
e56.. sqr(x62) + sqr(x63) + sqr(x68) + sqr(x69) - 2*x62*x68 - 2*x63*x69
- 0.887203867225*b2 - 0.887203867225*b8 =G= -0.887203867225;
e57.. sqr(x62) + sqr(x63) + sqr(x68) + sqr(x69) - 2*x62*x68 - 2*x63*x69
- 0.887203867225*b3 - 0.887203867225*b9 =G= -0.887203867225;
e58.. sqr(x64) + sqr(x65) + sqr(x68) + sqr(x69) - 2*x64*x68 - 2*x65*x69
- 0.887203867225*b4 - 0.887203867225*b8 =G= -0.887203867225;
e59.. sqr(x64) + sqr(x65) + sqr(x68) + sqr(x69) - 2*x64*x68 - 2*x65*x69
- 0.887203867225*b5 - 0.887203867225*b9 =G= -0.887203867225;
e60.. sqr(x66) + sqr(x67) + sqr(x68) + sqr(x69) - 2*x66*x68 - 2*x67*x69
- 0.469370231236*b6 - 0.469370231236*b8 =G= -0.469370231236;
e61.. sqr(x66) + sqr(x67) + sqr(x68) + sqr(x69) - 2*x66*x68 - 2*x67*x69
- 0.469370231236*b7 - 0.469370231236*b9 =G= -0.469370231236;
e62.. sqr(x68) + sqr(x69) + sqr(x70) + sqr(x71) - 2*x68*x70 - 2*x69*x71
- 1.436936830729*b8 - 1.436936830729*b10 =G= -1.436936830729;
e63.. sqr(x68) + sqr(x69) + sqr(x70) + sqr(x71) - 2*x68*x70 - 2*x69*x71
- 1.436936830729*b9 - 1.436936830729*b11 =G= -1.436936830729;
e64.. sqr(x68) + sqr(x69) + sqr(x72) + sqr(x73) - 2*x69*x73 - 2*x68*x72
- 1.436936830729*b8 - 1.436936830729*b12 =G= -1.436936830729;
e65.. sqr(x68) + sqr(x69) + sqr(x72) + sqr(x73) - 2*x69*x73 - 2*x68*x72
- 1.436936830729*b9 - 1.436936830729*b13 =G= -1.436936830729;
e66.. sqr(x68) + sqr(x69) + sqr(x74) + sqr(x75) - 2*x68*x74 - 2*x69*x75
- 3.484990776969*b8 - 3.484990776969*b14 =G= -3.484990776969;
e67.. sqr(x68) + sqr(x69) + sqr(x74) + sqr(x75) - 2*x68*x74 - 2*x69*x75
- 3.484990776969*b9 - 3.484990776969*b15 =G= -3.484990776969;
e68.. sqr(x68) + sqr(x69) + sqr(x76) + sqr(x77) - 2*x69*x77 - 2*x68*x76
- 3.484990776969*b8 - 3.484990776969*b16 =G= -3.484990776969;
e69.. sqr(x68) + sqr(x69) + sqr(x76) + sqr(x77) - 2*x69*x77 - 2*x68*x76
- 3.484990776969*b9 - 3.484990776969*b17 =G= -3.484990776969;
e70.. sqr(x68) + sqr(x69) + sqr(x78) + sqr(x79) - 2*x69*x79 - 2*x68*x78
- 5.174182750489*b8 - 5.174182750489*b18 =G= -5.174182750489;
e71.. sqr(x68) + sqr(x69) + sqr(x78) + sqr(x79) - 2*x69*x79 - 2*x68*x78
- 5.174182750489*b9 - 5.174182750489*b19 =G= -5.174182750489;
e72.. sqr(x68) + sqr(x69) + sqr(x80) + sqr(x81) - 2*x69*x81 - 2*x68*x80
- 5.174182750489*b8 - 5.174182750489*b20 =G= -5.174182750489;
e73.. sqr(x68) + sqr(x69) + sqr(x80) + sqr(x81) - 2*x69*x81 - 2*x68*x80
- 5.174182750489*b9 - 5.174182750489*b21 =G= -5.174182750489;
e74.. sqr(x62) + sqr(x63) + sqr(x70) + sqr(x71) - 2*x63*x71 - 2*x62*x70
- 2.118573403024*b2 - 2.118573403024*b10 =G= -2.118573403024;
e75.. sqr(x62) + sqr(x63) + sqr(x70) + sqr(x71) - 2*x63*x71 - 2*x62*x70
- 2.118573403024*b3 - 2.118573403024*b11 =G= -2.118573403024;
e76.. sqr(x64) + sqr(x65) + sqr(x70) + sqr(x71) - 2*x65*x71 - 2*x64*x70
- 2.118573403024*b4 - 2.118573403024*b10 =G= -2.118573403024;
e77.. sqr(x64) + sqr(x65) + sqr(x70) + sqr(x71) - 2*x65*x71 - 2*x64*x70
- 2.118573403024*b5 - 2.118573403024*b11 =G= -2.118573403024;
e78.. sqr(x66) + sqr(x67) + sqr(x70) + sqr(x71) - 2*x67*x71 - 2*x66*x70
- 1.436936830729*b6 - 1.436936830729*b10 =G= -1.436936830729;
e79.. sqr(x66) + sqr(x67) + sqr(x70) + sqr(x71) - 2*x67*x71 - 2*x66*x70
- 1.436936830729*b7 - 1.436936830729*b11 =G= -1.436936830729;
e80.. sqr(x68) + sqr(x69) + sqr(x70) + sqr(x71) - 2*x68*x70 - 2*x69*x71
- 1.436936830729*b8 - 1.436936830729*b10 =G= -1.436936830729;
e81.. sqr(x68) + sqr(x69) + sqr(x70) + sqr(x71) - 2*x68*x70 - 2*x69*x71
- 1.436936830729*b9 - 1.436936830729*b11 =G= -1.436936830729;
e82.. sqr(x70) + sqr(x71) + sqr(x72) + sqr(x73) - 2*x70*x72 - 2*x71*x73
- 2.9321082756*b10 - 2.9321082756*b12 =G= -2.9321082756;
e83.. sqr(x70) + sqr(x71) + sqr(x72) + sqr(x73) - 2*x70*x72 - 2*x71*x73
- 2.9321082756*b11 - 2.9321082756*b13 =G= -2.9321082756;
e84.. sqr(x70) + sqr(x71) + sqr(x74) + sqr(x75) - 2*x70*x74 - 2*x71*x75
- 5.6664469849*b10 - 5.6664469849*b14 =G= -5.6664469849;
e85.. sqr(x70) + sqr(x71) + sqr(x74) + sqr(x75) - 2*x70*x74 - 2*x71*x75
- 5.6664469849*b11 - 5.6664469849*b15 =G= -5.6664469849;
e86.. sqr(x70) + sqr(x71) + sqr(x76) + sqr(x77) - 2*x70*x76 - 2*x71*x77
- 5.6664469849*b10 - 5.6664469849*b16 =G= -5.6664469849;
e87.. sqr(x70) + sqr(x71) + sqr(x76) + sqr(x77) - 2*x70*x76 - 2*x71*x77
- 5.6664469849*b11 - 5.6664469849*b17 =G= -5.6664469849;
e88.. sqr(x70) + sqr(x71) + sqr(x78) + sqr(x79) - 2*x70*x78 - 2*x71*x79
- 7.77461689*b10 - 7.77461689*b18 =G= -7.77461689;
e89.. sqr(x70) + sqr(x71) + sqr(x78) + sqr(x79) - 2*x70*x78 - 2*x71*x79
- 7.77461689*b11 - 7.77461689*b19 =G= -7.77461689;
e90.. sqr(x70) + sqr(x71) + sqr(x80) + sqr(x81) - 2*x70*x80 - 2*x71*x81
- 7.77461689*b10 - 7.77461689*b20 =G= -7.77461689;
e91.. sqr(x70) + sqr(x71) + sqr(x80) + sqr(x81) - 2*x70*x80 - 2*x71*x81
- 7.77461689*b11 - 7.77461689*b21 =G= -7.77461689;
e92.. sqr(x62) + sqr(x63) + sqr(x72) + sqr(x73) - 2*x62*x72 - 2*x63*x73
- 2.118573403024*b2 - 2.118573403024*b12 =G= -2.118573403024;
e93.. sqr(x62) + sqr(x63) + sqr(x72) + sqr(x73) - 2*x63*x73 - 2*x62*x72
- 2.118573403024*b3 - 2.118573403024*b13 =G= -2.118573403024;
e94.. sqr(x64) + sqr(x65) + sqr(x72) + sqr(x73) - 2*x65*x73 - 2*x64*x72
- 2.118573403024*b4 - 2.118573403024*b12 =G= -2.118573403024;
e95.. sqr(x64) + sqr(x65) + sqr(x72) + sqr(x73) - 2*x65*x73 - 2*x64*x72
- 2.118573403024*b5 - 2.118573403024*b13 =G= -2.118573403024;
e96.. sqr(x66) + sqr(x67) + sqr(x72) + sqr(x73) - 2*x66*x72 - 2*x67*x73
- 1.436936830729*b6 - 1.436936830729*b12 =G= -1.436936830729;
e97.. sqr(x66) + sqr(x67) + sqr(x72) + sqr(x73) - 2*x66*x72 - 2*x67*x73
- 1.436936830729*b7 - 1.436936830729*b13 =G= -1.436936830729;
e98.. sqr(x68) + sqr(x69) + sqr(x72) + sqr(x73) - 2*x69*x73 - 2*x68*x72
- 1.436936830729*b8 - 1.436936830729*b12 =G= -1.436936830729;
e99.. sqr(x68) + sqr(x69) + sqr(x72) + sqr(x73) - 2*x69*x73 - 2*x68*x72
- 1.436936830729*b9 - 1.436936830729*b13 =G= -1.436936830729;
e100.. sqr(x70) + sqr(x71) + sqr(x72) + sqr(x73) - 2*x70*x72 - 2*x71*x73
- 2.9321082756*b10 - 2.9321082756*b12 =G= -2.9321082756;
e101.. sqr(x70) + sqr(x71) + sqr(x72) + sqr(x73) - 2*x70*x72 - 2*x71*x73
- 2.9321082756*b11 - 2.9321082756*b13 =G= -2.9321082756;
e102.. sqr(x72) + sqr(x73) + sqr(x74) + sqr(x75) - 2*x72*x74 - 2*x73*x75
- 5.6664469849*b12 - 5.6664469849*b14 =G= -5.6664469849;
e103.. sqr(x72) + sqr(x73) + sqr(x74) + sqr(x75) - 2*x72*x74 - 2*x73*x75
- 5.6664469849*b13 - 5.6664469849*b15 =G= -5.6664469849;
e104.. sqr(x72) + sqr(x73) + sqr(x76) + sqr(x77) - 2*x72*x76 - 2*x73*x77
- 5.6664469849*b12 - 5.6664469849*b16 =G= -5.6664469849;
e105.. sqr(x72) + sqr(x73) + sqr(x76) + sqr(x77) - 2*x72*x76 - 2*x73*x77
- 5.6664469849*b13 - 5.6664469849*b17 =G= -5.6664469849;
e106.. sqr(x72) + sqr(x73) + sqr(x78) + sqr(x79) - 2*x72*x78 - 2*x73*x79
- 7.77461689*b12 - 7.77461689*b18 =G= -7.77461689;
e107.. sqr(x72) + sqr(x73) + sqr(x78) + sqr(x79) - 2*x72*x78 - 2*x73*x79
- 7.77461689*b13 - 7.77461689*b19 =G= -7.77461689;
e108.. sqr(x72) + sqr(x73) + sqr(x80) + sqr(x81) - 2*x72*x80 - 2*x73*x81
- 7.77461689*b12 - 7.77461689*b20 =G= -7.77461689;
e109.. sqr(x72) + sqr(x73) + sqr(x80) + sqr(x81) - 2*x72*x80 - 2*x73*x81
- 7.77461689*b13 - 7.77461689*b21 =G= -7.77461689;
e110.. sqr(x62) + sqr(x63) + sqr(x74) + sqr(x75) - 2*x63*x75 - 2*x62*x74
- 4.509770398884*b2 - 4.509770398884*b14 =G= -4.509770398884;
e111.. sqr(x62) + sqr(x63) + sqr(x74) + sqr(x75) - 2*x63*x75 - 2*x62*x74
- 4.509770398884*b3 - 4.509770398884*b15 =G= -4.509770398884;
e112.. sqr(x64) + sqr(x65) + sqr(x74) + sqr(x75) - 2*x64*x74 - 2*x65*x75
- 4.509770398884*b4 - 4.509770398884*b14 =G= -4.509770398884;
e113.. sqr(x64) + sqr(x65) + sqr(x74) + sqr(x75) - 2*x64*x74 - 2*x65*x75
- 4.509770398884*b5 - 4.509770398884*b15 =G= -4.509770398884;
e114.. sqr(x66) + sqr(x67) + sqr(x74) + sqr(x75) - 2*x67*x75 - 2*x66*x74
- 3.484990776969*b6 - 3.484990776969*b14 =G= -3.484990776969;
e115.. sqr(x66) + sqr(x67) + sqr(x74) + sqr(x75) - 2*x67*x75 - 2*x66*x74
- 3.484990776969*b7 - 3.484990776969*b15 =G= -3.484990776969;
e116.. sqr(x68) + sqr(x69) + sqr(x74) + sqr(x75) - 2*x68*x74 - 2*x69*x75
- 3.484990776969*b8 - 3.484990776969*b14 =G= -3.484990776969;
e117.. sqr(x68) + sqr(x69) + sqr(x74) + sqr(x75) - 2*x68*x74 - 2*x69*x75
- 3.484990776969*b9 - 3.484990776969*b15 =G= -3.484990776969;
e118.. sqr(x70) + sqr(x71) + sqr(x74) + sqr(x75) - 2*x70*x74 - 2*x71*x75
- 5.6664469849*b10 - 5.6664469849*b14 =G= -5.6664469849;
e119.. sqr(x70) + sqr(x71) + sqr(x74) + sqr(x75) - 2*x70*x74 - 2*x71*x75
- 5.6664469849*b11 - 5.6664469849*b15 =G= -5.6664469849;
e120.. sqr(x72) + sqr(x73) + sqr(x74) + sqr(x75) - 2*x72*x74 - 2*x73*x75
- 5.6664469849*b12 - 5.6664469849*b14 =G= -5.6664469849;
e121.. sqr(x72) + sqr(x73) + sqr(x74) + sqr(x75) - 2*x72*x74 - 2*x73*x75
- 5.6664469849*b13 - 5.6664469849*b15 =G= -5.6664469849;
e122.. sqr(x74) + sqr(x75) + sqr(x76) + sqr(x77) - 2*x74*x76 - 2*x75*x77
- 9.2934741904*b14 - 9.2934741904*b16 =G= -9.2934741904;
e123.. sqr(x74) + sqr(x75) + sqr(x76) + sqr(x77) - 2*x74*x76 - 2*x75*x77
- 9.2934741904*b15 - 9.2934741904*b17 =G= -9.2934741904;
e124.. sqr(x74) + sqr(x75) + sqr(x78) + sqr(x79) - 2*x74*x78 - 2*x75*x79
- 11.9466318321*b14 - 11.9466318321*b18 =G= -11.9466318321;
e125.. sqr(x74) + sqr(x75) + sqr(x78) + sqr(x79) - 2*x74*x78 - 2*x75*x79
- 11.9466318321*b15 - 11.9466318321*b19 =G= -11.9466318321;
e126.. sqr(x74) + sqr(x75) + sqr(x80) + sqr(x81) - 2*x74*x80 - 2*x75*x81
- 11.9466318321*b14 - 11.9466318321*b20 =G= -11.9466318321;
e127.. sqr(x74) + sqr(x75) + sqr(x80) + sqr(x81) - 2*x74*x80 - 2*x75*x81
- 11.9466318321*b15 - 11.9466318321*b21 =G= -11.9466318321;
e128.. sqr(x62) + sqr(x63) + sqr(x76) + sqr(x77) - 2*x63*x77 - 2*x62*x76
- 4.509770398884*b2 - 4.509770398884*b16 =G= -4.509770398884;
e129.. sqr(x62) + sqr(x63) + sqr(x76) + sqr(x77) - 2*x63*x77 - 2*x62*x76
- 4.509770398884*b3 - 4.509770398884*b17 =G= -4.509770398884;
e130.. sqr(x64) + sqr(x65) + sqr(x76) + sqr(x77) - 2*x65*x77 - 2*x64*x76
- 4.509770398884*b4 - 4.509770398884*b16 =G= -4.509770398884;
e131.. sqr(x64) + sqr(x65) + sqr(x76) + sqr(x77) - 2*x65*x77 - 2*x64*x76
- 4.509770398884*b5 - 4.509770398884*b17 =G= -4.509770398884;
e132.. sqr(x66) + sqr(x67) + sqr(x76) + sqr(x77) - 2*x66*x76 - 2*x67*x77
- 3.484990776969*b6 - 3.484990776969*b16 =G= -3.484990776969;
e133.. sqr(x66) + sqr(x67) + sqr(x76) + sqr(x77) - 2*x66*x76 - 2*x67*x77
- 3.484990776969*b7 - 3.484990776969*b17 =G= -3.484990776969;
e134.. sqr(x68) + sqr(x69) + sqr(x76) + sqr(x77) - 2*x69*x77 - 2*x68*x76
- 3.484990776969*b8 - 3.484990776969*b16 =G= -3.484990776969;
e135.. sqr(x68) + sqr(x69) + sqr(x76) + sqr(x77) - 2*x69*x77 - 2*x68*x76
- 3.484990776969*b9 - 3.484990776969*b17 =G= -3.484990776969;
e136.. sqr(x70) + sqr(x71) + sqr(x76) + sqr(x77) - 2*x70*x76 - 2*x71*x77
- 5.6664469849*b10 - 5.6664469849*b16 =G= -5.6664469849;
e137.. sqr(x70) + sqr(x71) + sqr(x76) + sqr(x77) - 2*x70*x76 - 2*x71*x77
- 5.6664469849*b11 - 5.6664469849*b17 =G= -5.6664469849;
e138.. sqr(x72) + sqr(x73) + sqr(x76) + sqr(x77) - 2*x72*x76 - 2*x73*x77
- 5.6664469849*b12 - 5.6664469849*b16 =G= -5.6664469849;
e139.. sqr(x72) + sqr(x73) + sqr(x76) + sqr(x77) - 2*x72*x76 - 2*x73*x77
- 5.6664469849*b13 - 5.6664469849*b17 =G= -5.6664469849;
e140.. sqr(x74) + sqr(x75) + sqr(x76) + sqr(x77) - 2*x74*x76 - 2*x75*x77
- 9.2934741904*b14 - 9.2934741904*b16 =G= -9.2934741904;
e141.. sqr(x74) + sqr(x75) + sqr(x76) + sqr(x77) - 2*x74*x76 - 2*x75*x77
- 9.2934741904*b15 - 9.2934741904*b17 =G= -9.2934741904;
e142.. sqr(x76) + sqr(x77) + sqr(x78) + sqr(x79) - 2*x76*x78 - 2*x77*x79
- 11.9466318321*b16 - 11.9466318321*b18 =G= -11.9466318321;
e143.. sqr(x76) + sqr(x77) + sqr(x78) + sqr(x79) - 2*x76*x78 - 2*x77*x79
- 11.9466318321*b17 - 11.9466318321*b19 =G= -11.9466318321;
e144.. sqr(x76) + sqr(x77) + sqr(x80) + sqr(x81) - 2*x76*x80 - 2*x77*x81
- 11.9466318321*b16 - 11.9466318321*b20 =G= -11.9466318321;
e145.. sqr(x76) + sqr(x77) + sqr(x80) + sqr(x81) - 2*x76*x80 - 2*x77*x81
- 11.9466318321*b17 - 11.9466318321*b21 =G= -11.9466318321;
e146.. sqr(x62) + sqr(x63) + sqr(x78) + sqr(x79) - 2*x63*x79 - 2*x62*x78
- 6.408451746064*b2 - 6.408451746064*b18 =G= -6.408451746064;
e147.. sqr(x62) + sqr(x63) + sqr(x78) + sqr(x79) - 2*x63*x79 - 2*x62*x78
- 6.408451746064*b3 - 6.408451746064*b19 =G= -6.408451746064;
e148.. sqr(x64) + sqr(x65) + sqr(x78) + sqr(x79) - 2*x65*x79 - 2*x64*x78
- 6.408451746064*b4 - 6.408451746064*b18 =G= -6.408451746064;
e149.. sqr(x64) + sqr(x65) + sqr(x78) + sqr(x79) - 2*x65*x79 - 2*x64*x78
- 6.408451746064*b5 - 6.408451746064*b19 =G= -6.408451746064;
e150.. sqr(x66) + sqr(x67) + sqr(x78) + sqr(x79) - 2*x67*x79 - 2*x66*x78
- 5.174182750489*b6 - 5.174182750489*b18 =G= -5.174182750489;
e151.. sqr(x66) + sqr(x67) + sqr(x78) + sqr(x79) - 2*x67*x79 - 2*x66*x78
- 5.174182750489*b7 - 5.174182750489*b19 =G= -5.174182750489;
e152.. sqr(x68) + sqr(x69) + sqr(x78) + sqr(x79) - 2*x69*x79 - 2*x68*x78
- 5.174182750489*b8 - 5.174182750489*b18 =G= -5.174182750489;
e153.. sqr(x68) + sqr(x69) + sqr(x78) + sqr(x79) - 2*x69*x79 - 2*x68*x78
- 5.174182750489*b9 - 5.174182750489*b19 =G= -5.174182750489;
e154.. sqr(x70) + sqr(x71) + sqr(x78) + sqr(x79) - 2*x70*x78 - 2*x71*x79
- 7.77461689*b10 - 7.77461689*b18 =G= -7.77461689;
e155.. sqr(x70) + sqr(x71) + sqr(x78) + sqr(x79) - 2*x70*x78 - 2*x71*x79
- 7.77461689*b11 - 7.77461689*b19 =G= -7.77461689;
e156.. sqr(x72) + sqr(x73) + sqr(x78) + sqr(x79) - 2*x72*x78 - 2*x73*x79
- 7.77461689*b12 - 7.77461689*b18 =G= -7.77461689;
e157.. sqr(x72) + sqr(x73) + sqr(x78) + sqr(x79) - 2*x72*x78 - 2*x73*x79
- 7.77461689*b13 - 7.77461689*b19 =G= -7.77461689;
e158.. sqr(x74) + sqr(x75) + sqr(x78) + sqr(x79) - 2*x74*x78 - 2*x75*x79
- 11.9466318321*b14 - 11.9466318321*b18 =G= -11.9466318321;
e159.. sqr(x74) + sqr(x75) + sqr(x78) + sqr(x79) - 2*x74*x78 - 2*x75*x79
- 11.9466318321*b15 - 11.9466318321*b19 =G= -11.9466318321;
e160.. sqr(x76) + sqr(x77) + sqr(x78) + sqr(x79) - 2*x76*x78 - 2*x77*x79
- 11.9466318321*b16 - 11.9466318321*b18 =G= -11.9466318321;
e161.. sqr(x76) + sqr(x77) + sqr(x78) + sqr(x79) - 2*x76*x78 - 2*x77*x79
- 11.9466318321*b17 - 11.9466318321*b19 =G= -11.9466318321;
e162.. sqr(x78) + sqr(x79) + sqr(x80) + sqr(x81) - 2*x78*x80 - 2*x79*x81
- 14.9325053476*b18 - 14.9325053476*b20 =G= -14.9325053476;
e163.. sqr(x78) + sqr(x79) + sqr(x80) + sqr(x81) - 2*x78*x80 - 2*x79*x81
- 14.9325053476*b19 - 14.9325053476*b21 =G= -14.9325053476;
e164.. sqr(x62) + sqr(x63) + sqr(x80) + sqr(x81) - 2*x62*x80 - 2*x63*x81
- 6.408451746064*b2 - 6.408451746064*b20 =G= -6.408451746064;
e165.. sqr(x62) + sqr(x63) + sqr(x80) + sqr(x81) - 2*x62*x80 - 2*x63*x81
- 6.408451746064*b3 - 6.408451746064*b21 =G= -6.408451746064;
e166.. sqr(x64) + sqr(x65) + sqr(x80) + sqr(x81) - 2*x65*x81 - 2*x64*x80
- 6.408451746064*b4 - 6.408451746064*b20 =G= -6.408451746064;
e167.. sqr(x64) + sqr(x65) + sqr(x80) + sqr(x81) - 2*x65*x81 - 2*x64*x80
- 6.408451746064*b5 - 6.408451746064*b21 =G= -6.408451746064;
e168.. sqr(x66) + sqr(x67) + sqr(x80) + sqr(x81) - 2*x67*x81 - 2*x66*x80
- 5.174182750489*b6 - 5.174182750489*b20 =G= -5.174182750489;
e169.. sqr(x66) + sqr(x67) + sqr(x80) + sqr(x81) - 2*x67*x81 - 2*x66*x80
- 5.174182750489*b7 - 5.174182750489*b21 =G= -5.174182750489;
e170.. sqr(x68) + sqr(x69) + sqr(x80) + sqr(x81) - 2*x69*x81 - 2*x68*x80
- 5.174182750489*b8 - 5.174182750489*b20 =G= -5.174182750489;
e171.. sqr(x68) + sqr(x69) + sqr(x80) + sqr(x81) - 2*x69*x81 - 2*x68*x80
- 5.174182750489*b9 - 5.174182750489*b21 =G= -5.174182750489;
e172.. sqr(x70) + sqr(x71) + sqr(x80) + sqr(x81) - 2*x70*x80 - 2*x71*x81
- 7.77461689*b10 - 7.77461689*b20 =G= -7.77461689;
e173.. sqr(x70) + sqr(x71) + sqr(x80) + sqr(x81) - 2*x70*x80 - 2*x71*x81
- 7.77461689*b11 - 7.77461689*b21 =G= -7.77461689;
e174.. sqr(x72) + sqr(x73) + sqr(x80) + sqr(x81) - 2*x72*x80 - 2*x73*x81
- 7.77461689*b12 - 7.77461689*b20 =G= -7.77461689;
e175.. sqr(x72) + sqr(x73) + sqr(x80) + sqr(x81) - 2*x72*x80 - 2*x73*x81
- 7.77461689*b13 - 7.77461689*b21 =G= -7.77461689;
e176.. sqr(x74) + sqr(x75) + sqr(x80) + sqr(x81) - 2*x74*x80 - 2*x75*x81
- 11.9466318321*b14 - 11.9466318321*b20 =G= -11.9466318321;
e177.. sqr(x74) + sqr(x75) + sqr(x80) + sqr(x81) - 2*x74*x80 - 2*x75*x81
- 11.9466318321*b15 - 11.9466318321*b21 =G= -11.9466318321;
e178.. sqr(x76) + sqr(x77) + sqr(x80) + sqr(x81) - 2*x76*x80 - 2*x77*x81
- 11.9466318321*b16 - 11.9466318321*b20 =G= -11.9466318321;
e179.. sqr(x76) + sqr(x77) + sqr(x80) + sqr(x81) - 2*x76*x80 - 2*x77*x81
- 11.9466318321*b17 - 11.9466318321*b21 =G= -11.9466318321;
e180.. sqr(x78) + sqr(x79) + sqr(x80) + sqr(x81) - 2*x78*x80 - 2*x79*x81
- 14.9325053476*b18 - 14.9325053476*b20 =G= -14.9325053476;
e181.. sqr(x78) + sqr(x79) + sqr(x80) + sqr(x81) - 2*x78*x80 - 2*x79*x81
- 14.9325053476*b19 - 14.9325053476*b21 =G= -14.9325053476;
e182.. sqr(x66) + sqr(x67) + sqr(x68) + sqr(x69) - 2*x66*x68 - 2*x67*x69
- 0.469370231236*b34 - 0.469370231236*b42 =G= -0.469370231236;
e183.. sqr(x66) + sqr(x67) + sqr(x68) + sqr(x69) - 2*x66*x68 - 2*x67*x69
- 0.469370231236*b34 - 0.469370231236*b42 =G= -0.469370231236;
e184.. sqr(x66) + sqr(x67) + sqr(x68) + sqr(x69) - 2*x66*x68 - 2*x67*x69
- 0.469370231236*b35 - 0.469370231236*b43 =G= -0.469370231236;
e185.. sqr(x66) + sqr(x67) + sqr(x68) + sqr(x69) - 2*x66*x68 - 2*x67*x69
- 0.469370231236*b35 - 0.469370231236*b43 =G= -0.469370231236;
e186.. sqr(x62) + sqr(x63) + sqr(x64) + sqr(x65) - 2*x62*x64 - 2*x63*x65
- 1.436939228176*b22 - 1.436939228176*b28 =G= -1.436939228176;
e187.. sqr(x62) + sqr(x63) + sqr(x66) + sqr(x67) - 2*x62*x66 - 2*x63*x67
- 0.887203867225*b22 - 0.887203867225*b36 =G= -0.887203867225;
e188.. sqr(x62) + sqr(x63) + sqr(x68) + sqr(x69) - 2*x62*x68 - 2*x63*x69
- 0.887203867225*b22 - 0.887203867225*b44 =G= -0.887203867225;
e189.. sqr(x62) + sqr(x63) + sqr(x64) + sqr(x65) - 2*x62*x64 - 2*x63*x65
- 1.436939228176*b22 - 1.436939228176*b28 =G= -1.436939228176;
e190.. sqr(x64) + sqr(x65) + sqr(x66) + sqr(x67) - 2*x64*x66 - 2*x65*x67
- 0.887203867225*b28 - 0.887203867225*b36 =G= -0.887203867225;
e191.. sqr(x64) + sqr(x65) + sqr(x68) + sqr(x69) - 2*x64*x68 - 2*x65*x69
- 0.887203867225*b28 - 0.887203867225*b44 =G= -0.887203867225;
e192.. sqr(x62) + sqr(x63) + sqr(x66) + sqr(x67) - 2*x62*x66 - 2*x63*x67
- 0.887203867225*b22 - 0.887203867225*b36 =G= -0.887203867225;
e193.. sqr(x64) + sqr(x65) + sqr(x66) + sqr(x67) - 2*x64*x66 - 2*x65*x67
- 0.887203867225*b28 - 0.887203867225*b36 =G= -0.887203867225;
e194.. sqr(x66) + sqr(x67) + sqr(x68) + sqr(x69) - 2*x66*x68 - 2*x67*x69
- 0.469370231236*b36 - 0.469370231236*b44 =G= -0.469370231236;
e195.. sqr(x62) + sqr(x63) + sqr(x68) + sqr(x69) - 2*x62*x68 - 2*x63*x69
- 0.887203867225*b22 - 0.887203867225*b44 =G= -0.887203867225;
e196.. sqr(x64) + sqr(x65) + sqr(x68) + sqr(x69) - 2*x64*x68 - 2*x65*x69
- 0.887203867225*b28 - 0.887203867225*b44 =G= -0.887203867225;
e197.. sqr(x66) + sqr(x67) + sqr(x68) + sqr(x69) - 2*x66*x68 - 2*x67*x69
- 0.469370231236*b36 - 0.469370231236*b44 =G= -0.469370231236;
e198.. sqr(x62) + sqr(x63) + sqr(x64) + sqr(x65) - 2*x62*x64 - 2*x63*x65
- 1.436939228176*b23 - 1.436939228176*b29 =G= -1.436939228176;
e199.. sqr(x62) + sqr(x63) + sqr(x66) + sqr(x67) - 2*x62*x66 - 2*x63*x67
- 0.887203867225*b23 - 0.887203867225*b37 =G= -0.887203867225;
e200.. sqr(x62) + sqr(x63) + sqr(x68) + sqr(x69) - 2*x62*x68 - 2*x63*x69
- 0.887203867225*b23 - 0.887203867225*b45 =G= -0.887203867225;
e201.. sqr(x62) + sqr(x63) + sqr(x64) + sqr(x65) - 2*x62*x64 - 2*x63*x65
- 1.436939228176*b23 - 1.436939228176*b29 =G= -1.436939228176;
e202.. sqr(x64) + sqr(x65) + sqr(x66) + sqr(x67) - 2*x64*x66 - 2*x65*x67
- 0.887203867225*b29 - 0.887203867225*b37 =G= -0.887203867225;
e203.. sqr(x64) + sqr(x65) + sqr(x68) + sqr(x69) - 2*x64*x68 - 2*x65*x69
- 0.887203867225*b29 - 0.887203867225*b45 =G= -0.887203867225;
e204.. sqr(x62) + sqr(x63) + sqr(x66) + sqr(x67) - 2*x62*x66 - 2*x63*x67
- 0.887203867225*b23 - 0.887203867225*b37 =G= -0.887203867225;
e205.. sqr(x64) + sqr(x65) + sqr(x66) + sqr(x67) - 2*x64*x66 - 2*x65*x67
- 0.887203867225*b29 - 0.887203867225*b37 =G= -0.887203867225;
e206.. sqr(x66) + sqr(x67) + sqr(x68) + sqr(x69) - 2*x66*x68 - 2*x67*x69
- 0.469370231236*b37 - 0.469370231236*b45 =G= -0.469370231236;
e207.. sqr(x62) + sqr(x63) + sqr(x68) + sqr(x69) - 2*x62*x68 - 2*x63*x69
- 0.887203867225*b23 - 0.887203867225*b45 =G= -0.887203867225;
e208.. sqr(x64) + sqr(x65) + sqr(x68) + sqr(x69) - 2*x64*x68 - 2*x65*x69
- 0.887203867225*b29 - 0.887203867225*b45 =G= -0.887203867225;
e209.. sqr(x66) + sqr(x67) + sqr(x68) + sqr(x69) - 2*x66*x68 - 2*x67*x69
- 0.469370231236*b37 - 0.469370231236*b45 =G= -0.469370231236;
e210.. sqr(x62) + sqr(x63) + sqr(x64) + sqr(x65) - 2*x62*x64 - 2*x63*x65
- 1.436939228176*b24 - 1.436939228176*b30 =G= -1.436939228176;
e211.. sqr(x62) + sqr(x63) + sqr(x66) + sqr(x67) - 2*x62*x66 - 2*x63*x67
- 0.887203867225*b24 - 0.887203867225*b38 =G= -0.887203867225;
e212.. sqr(x62) + sqr(x63) + sqr(x68) + sqr(x69) - 2*x62*x68 - 2*x63*x69
- 0.887203867225*b24 - 0.887203867225*b46 =G= -0.887203867225;
e213.. sqr(x62) + sqr(x63) + sqr(x70) + sqr(x71) - 2*x63*x71 - 2*x62*x70
- 2.118573403024*b24 - 2.118573403024*b50 =G= -2.118573403024;
e214.. sqr(x62) + sqr(x63) + sqr(x72) + sqr(x73) - 2*x63*x73 - 2*x62*x72
- 2.118573403024*b24 - 2.118573403024*b54 =G= -2.118573403024;
e215.. sqr(x62) + sqr(x63) + sqr(x64) + sqr(x65) - 2*x62*x64 - 2*x63*x65
- 1.436939228176*b24 - 1.436939228176*b30 =G= -1.436939228176;
e216.. sqr(x64) + sqr(x65) + sqr(x66) + sqr(x67) - 2*x64*x66 - 2*x65*x67
- 0.887203867225*b30 - 0.887203867225*b38 =G= -0.887203867225;
e217.. sqr(x64) + sqr(x65) + sqr(x68) + sqr(x69) - 2*x64*x68 - 2*x65*x69
- 0.887203867225*b30 - 0.887203867225*b46 =G= -0.887203867225;
e218.. sqr(x64) + sqr(x65) + sqr(x70) + sqr(x71) - 2*x65*x71 - 2*x64*x70
- 2.118573403024*b30 - 2.118573403024*b50 =G= -2.118573403024;
e219.. sqr(x64) + sqr(x65) + sqr(x72) + sqr(x73) - 2*x65*x73 - 2*x64*x72
- 2.118573403024*b30 - 2.118573403024*b54 =G= -2.118573403024;
e220.. sqr(x62) + sqr(x63) + sqr(x66) + sqr(x67) - 2*x62*x66 - 2*x63*x67
- 0.887203867225*b24 - 0.887203867225*b38 =G= -0.887203867225;
e221.. sqr(x64) + sqr(x65) + sqr(x66) + sqr(x67) - 2*x64*x66 - 2*x65*x67
- 0.887203867225*b30 - 0.887203867225*b38 =G= -0.887203867225;
e222.. sqr(x66) + sqr(x67) + sqr(x68) + sqr(x69) - 2*x66*x68 - 2*x67*x69
- 0.469370231236*b38 - 0.469370231236*b46 =G= -0.469370231236;
e223.. sqr(x66) + sqr(x67) + sqr(x70) + sqr(x71) - 2*x67*x71 - 2*x66*x70
- 1.436936830729*b38 - 1.436936830729*b50 =G= -1.436936830729;
e224.. sqr(x66) + sqr(x67) + sqr(x72) + sqr(x73) - 2*x66*x72 - 2*x67*x73
- 1.436936830729*b38 - 1.436936830729*b54 =G= -1.436936830729;
e225.. sqr(x62) + sqr(x63) + sqr(x68) + sqr(x69) - 2*x62*x68 - 2*x63*x69
- 0.887203867225*b24 - 0.887203867225*b46 =G= -0.887203867225;
e226.. sqr(x64) + sqr(x65) + sqr(x68) + sqr(x69) - 2*x64*x68 - 2*x65*x69
- 0.887203867225*b30 - 0.887203867225*b46 =G= -0.887203867225;
e227.. sqr(x66) + sqr(x67) + sqr(x68) + sqr(x69) - 2*x66*x68 - 2*x67*x69
- 0.469370231236*b38 - 0.469370231236*b46 =G= -0.469370231236;
e228.. sqr(x68) + sqr(x69) + sqr(x70) + sqr(x71) - 2*x68*x70 - 2*x69*x71
- 1.436936830729*b46 - 1.436936830729*b50 =G= -1.436936830729;
e229.. sqr(x68) + sqr(x69) + sqr(x72) + sqr(x73) - 2*x69*x73 - 2*x68*x72
- 1.436936830729*b46 - 1.436936830729*b54 =G= -1.436936830729;
e230.. sqr(x62) + sqr(x63) + sqr(x70) + sqr(x71) - 2*x63*x71 - 2*x62*x70
- 2.118573403024*b24 - 2.118573403024*b50 =G= -2.118573403024;
e231.. sqr(x64) + sqr(x65) + sqr(x70) + sqr(x71) - 2*x65*x71 - 2*x64*x70
- 2.118573403024*b30 - 2.118573403024*b50 =G= -2.118573403024;
e232.. sqr(x66) + sqr(x67) + sqr(x70) + sqr(x71) - 2*x67*x71 - 2*x66*x70
- 1.436936830729*b38 - 1.436936830729*b50 =G= -1.436936830729;
e233.. sqr(x68) + sqr(x69) + sqr(x70) + sqr(x71) - 2*x68*x70 - 2*x69*x71
- 1.436936830729*b46 - 1.436936830729*b50 =G= -1.436936830729;
e234.. sqr(x70) + sqr(x71) + sqr(x72) + sqr(x73) - 2*x70*x72 - 2*x71*x73
- 2.9321082756*b50 - 2.9321082756*b54 =G= -2.9321082756;
e235.. sqr(x62) + sqr(x63) + sqr(x72) + sqr(x73) - 2*x63*x73 - 2*x62*x72
- 2.118573403024*b24 - 2.118573403024*b54 =G= -2.118573403024;
e236.. sqr(x64) + sqr(x65) + sqr(x72) + sqr(x73) - 2*x65*x73 - 2*x64*x72
- 2.118573403024*b30 - 2.118573403024*b54 =G= -2.118573403024;
e237.. sqr(x66) + sqr(x67) + sqr(x72) + sqr(x73) - 2*x66*x72 - 2*x67*x73
- 1.436936830729*b38 - 1.436936830729*b54 =G= -1.436936830729;
e238.. sqr(x68) + sqr(x69) + sqr(x72) + sqr(x73) - 2*x69*x73 - 2*x68*x72
- 1.436936830729*b46 - 1.436936830729*b54 =G= -1.436936830729;
e239.. sqr(x70) + sqr(x71) + sqr(x72) + sqr(x73) - 2*x70*x72 - 2*x71*x73
- 2.9321082756*b50 - 2.9321082756*b54 =G= -2.9321082756;
e240.. sqr(x62) + sqr(x63) + sqr(x64) + sqr(x65) - 2*x62*x64 - 2*x63*x65
- 1.436939228176*b25 - 1.436939228176*b31 =G= -1.436939228176;
e241.. sqr(x62) + sqr(x63) + sqr(x66) + sqr(x67) - 2*x62*x66 - 2*x63*x67
- 0.887203867225*b25 - 0.887203867225*b39 =G= -0.887203867225;
e242.. sqr(x62) + sqr(x63) + sqr(x68) + sqr(x69) - 2*x62*x68 - 2*x63*x69
- 0.887203867225*b25 - 0.887203867225*b47 =G= -0.887203867225;
e243.. sqr(x62) + sqr(x63) + sqr(x70) + sqr(x71) - 2*x62*x70 - 2*x63*x71
- 2.118573403024*b25 - 2.118573403024*b51 =G= -2.118573403024;
e244.. sqr(x62) + sqr(x63) + sqr(x72) + sqr(x73) - 2*x62*x72 - 2*x63*x73
- 2.118573403024*b25 - 2.118573403024*b55 =G= -2.118573403024;
e245.. sqr(x62) + sqr(x63) + sqr(x64) + sqr(x65) - 2*x62*x64 - 2*x63*x65
- 1.436939228176*b25 - 1.436939228176*b31 =G= -1.436939228176;
e246.. sqr(x64) + sqr(x65) + sqr(x66) + sqr(x67) - 2*x64*x66 - 2*x65*x67
- 0.887203867225*b31 - 0.887203867225*b39 =G= -0.887203867225;
e247.. sqr(x64) + sqr(x65) + sqr(x68) + sqr(x69) - 2*x64*x68 - 2*x65*x69
- 0.887203867225*b31 - 0.887203867225*b47 =G= -0.887203867225;
e248.. sqr(x64) + sqr(x65) + sqr(x70) + sqr(x71) - 2*x65*x71 - 2*x64*x70
- 2.118573403024*b31 - 2.118573403024*b51 =G= -2.118573403024;
e249.. sqr(x64) + sqr(x65) + sqr(x72) + sqr(x73) - 2*x65*x73 - 2*x64*x72
- 2.118573403024*b31 - 2.118573403024*b55 =G= -2.118573403024;
e250.. sqr(x62) + sqr(x63) + sqr(x66) + sqr(x67) - 2*x62*x66 - 2*x63*x67
- 0.887203867225*b25 - 0.887203867225*b39 =G= -0.887203867225;
e251.. sqr(x64) + sqr(x65) + sqr(x66) + sqr(x67) - 2*x64*x66 - 2*x65*x67
- 0.887203867225*b31 - 0.887203867225*b39 =G= -0.887203867225;
e252.. sqr(x66) + sqr(x67) + sqr(x68) + sqr(x69) - 2*x66*x68 - 2*x67*x69
- 0.469370231236*b39 - 0.469370231236*b47 =G= -0.469370231236;
e253.. sqr(x66) + sqr(x67) + sqr(x70) + sqr(x71) - 2*x67*x71 - 2*x66*x70
- 1.436936830729*b39 - 1.436936830729*b51 =G= -1.436936830729;
e254.. sqr(x66) + sqr(x67) + sqr(x72) + sqr(x73) - 2*x66*x72 - 2*x67*x73
- 1.436936830729*b39 - 1.436936830729*b55 =G= -1.436936830729;
e255.. sqr(x62) + sqr(x63) + sqr(x68) + sqr(x69) - 2*x62*x68 - 2*x63*x69
- 0.887203867225*b25 - 0.887203867225*b47 =G= -0.887203867225;
e256.. sqr(x64) + sqr(x65) + sqr(x68) + sqr(x69) - 2*x64*x68 - 2*x65*x69
- 0.887203867225*b31 - 0.887203867225*b47 =G= -0.887203867225;
e257.. sqr(x66) + sqr(x67) + sqr(x68) + sqr(x69) - 2*x66*x68 - 2*x67*x69
- 0.469370231236*b39 - 0.469370231236*b47 =G= -0.469370231236;
e258.. sqr(x68) + sqr(x69) + sqr(x70) + sqr(x71) - 2*x68*x70 - 2*x69*x71
- 1.436936830729*b47 - 1.436936830729*b51 =G= -1.436936830729;
e259.. sqr(x68) + sqr(x69) + sqr(x72) + sqr(x73) - 2*x69*x73 - 2*x68*x72
- 1.436936830729*b47 - 1.436936830729*b55 =G= -1.436936830729;
e260.. sqr(x62) + sqr(x63) + sqr(x70) + sqr(x71) - 2*x62*x70 - 2*x63*x71
- 2.118573403024*b25 - 2.118573403024*b51 =G= -2.118573403024;
e261.. sqr(x64) + sqr(x65) + sqr(x70) + sqr(x71) - 2*x65*x71 - 2*x64*x70
- 2.118573403024*b31 - 2.118573403024*b51 =G= -2.118573403024;
e262.. sqr(x66) + sqr(x67) + sqr(x70) + sqr(x71) - 2*x67*x71 - 2*x66*x70
- 1.436936830729*b39 - 1.436936830729*b51 =G= -1.436936830729;
e263.. sqr(x68) + sqr(x69) + sqr(x70) + sqr(x71) - 2*x68*x70 - 2*x69*x71
- 1.436936830729*b47 - 1.436936830729*b51 =G= -1.436936830729;
e264.. sqr(x70) + sqr(x71) + sqr(x72) + sqr(x73) - 2*x70*x72 - 2*x71*x73
- 2.9321082756*b51 - 2.9321082756*b55 =G= -2.9321082756;
e265.. sqr(x62) + sqr(x63) + sqr(x72) + sqr(x73) - 2*x63*x73 - 2*x62*x72
- 2.118573403024*b25 - 2.118573403024*b55 =G= -2.118573403024;
e266.. sqr(x64) + sqr(x65) + sqr(x72) + sqr(x73) - 2*x65*x73 - 2*x64*x72
- 2.118573403024*b31 - 2.118573403024*b55 =G= -2.118573403024;
e267.. sqr(x66) + sqr(x67) + sqr(x72) + sqr(x73) - 2*x66*x72 - 2*x67*x73
- 1.436936830729*b39 - 1.436936830729*b55 =G= -1.436936830729;
e268.. sqr(x68) + sqr(x69) + sqr(x72) + sqr(x73) - 2*x69*x73 - 2*x68*x72
- 1.436936830729*b47 - 1.436936830729*b55 =G= -1.436936830729;
e269.. sqr(x70) + sqr(x71) + sqr(x72) + sqr(x73) - 2*x70*x72 - 2*x71*x73
- 2.9321082756*b51 - 2.9321082756*b55 =G= -2.9321082756;
e270.. sqr(x62) + sqr(x63) + sqr(x64) + sqr(x65) - 2*x62*x64 - 2*x63*x65
- 1.436939228176*b26 - 1.436939228176*b32 =G= -1.436939228176;
e271.. sqr(x62) + sqr(x63) + sqr(x66) + sqr(x67) - 2*x62*x66 - 2*x63*x67
- 0.887203867225*b26 - 0.887203867225*b40 =G= -0.887203867225;
e272.. sqr(x62) + sqr(x63) + sqr(x68) + sqr(x69) - 2*x62*x68 - 2*x63*x69
- 0.887203867225*b26 - 0.887203867225*b48 =G= -0.887203867225;
e273.. sqr(x62) + sqr(x63) + sqr(x70) + sqr(x71) - 2*x63*x71 - 2*x62*x70
- 2.118573403024*b26 - 2.118573403024*b52 =G= -2.118573403024;
e274.. sqr(x62) + sqr(x63) + sqr(x72) + sqr(x73) - 2*x63*x73 - 2*x62*x72
- 2.118573403024*b26 - 2.118573403024*b56 =G= -2.118573403024;
e275.. sqr(x62) + sqr(x63) + sqr(x74) + sqr(x75) - 2*x63*x75 - 2*x62*x74
- 4.509770398884*b26 - 4.509770398884*b58 =G= -4.509770398884;
e276.. sqr(x62) + sqr(x63) + sqr(x76) + sqr(x77) - 2*x63*x77 - 2*x62*x76
- 4.509770398884*b26 - 4.509770398884*b60 =G= -4.509770398884;
e277.. sqr(x62) + sqr(x63) + sqr(x64) + sqr(x65) - 2*x62*x64 - 2*x63*x65
- 1.436939228176*b26 - 1.436939228176*b32 =G= -1.436939228176;
e278.. sqr(x64) + sqr(x65) + sqr(x66) + sqr(x67) - 2*x64*x66 - 2*x65*x67
- 0.887203867225*b32 - 0.887203867225*b40 =G= -0.887203867225;
e279.. sqr(x64) + sqr(x65) + sqr(x68) + sqr(x69) - 2*x64*x68 - 2*x65*x69
- 0.887203867225*b32 - 0.887203867225*b48 =G= -0.887203867225;
e280.. sqr(x64) + sqr(x65) + sqr(x70) + sqr(x71) - 2*x65*x71 - 2*x64*x70
- 2.118573403024*b32 - 2.118573403024*b52 =G= -2.118573403024;
e281.. sqr(x64) + sqr(x65) + sqr(x72) + sqr(x73) - 2*x65*x73 - 2*x64*x72
- 2.118573403024*b32 - 2.118573403024*b56 =G= -2.118573403024;
e282.. sqr(x64) + sqr(x65) + sqr(x74) + sqr(x75) - 2*x64*x74 - 2*x65*x75
- 4.509770398884*b32 - 4.509770398884*b58 =G= -4.509770398884;
e283.. sqr(x64) + sqr(x65) + sqr(x76) + sqr(x77) - 2*x65*x77 - 2*x64*x76
- 4.509770398884*b32 - 4.509770398884*b60 =G= -4.509770398884;
e284.. sqr(x62) + sqr(x63) + sqr(x66) + sqr(x67) - 2*x62*x66 - 2*x63*x67
- 0.887203867225*b26 - 0.887203867225*b40 =G= -0.887203867225;
e285.. sqr(x64) + sqr(x65) + sqr(x66) + sqr(x67) - 2*x64*x66 - 2*x65*x67
- 0.887203867225*b32 - 0.887203867225*b40 =G= -0.887203867225;
e286.. sqr(x66) + sqr(x67) + sqr(x68) + sqr(x69) - 2*x66*x68 - 2*x67*x69
- 0.469370231236*b40 - 0.469370231236*b48 =G= -0.469370231236;
e287.. sqr(x66) + sqr(x67) + sqr(x70) + sqr(x71) - 2*x67*x71 - 2*x66*x70
- 1.436936830729*b40 - 1.436936830729*b52 =G= -1.436936830729;
e288.. sqr(x66) + sqr(x67) + sqr(x72) + sqr(x73) - 2*x66*x72 - 2*x67*x73
- 1.436936830729*b40 - 1.436936830729*b56 =G= -1.436936830729;
e289.. sqr(x66) + sqr(x67) + sqr(x74) + sqr(x75) - 2*x67*x75 - 2*x66*x74
- 3.484990776969*b40 - 3.484990776969*b58 =G= -3.484990776969;
e290.. sqr(x66) + sqr(x67) + sqr(x76) + sqr(x77) - 2*x66*x76 - 2*x67*x77
- 3.484990776969*b40 - 3.484990776969*b60 =G= -3.484990776969;
e291.. sqr(x62) + sqr(x63) + sqr(x68) + sqr(x69) - 2*x62*x68 - 2*x63*x69
- 0.887203867225*b26 - 0.887203867225*b48 =G= -0.887203867225;
e292.. sqr(x64) + sqr(x65) + sqr(x68) + sqr(x69) - 2*x64*x68 - 2*x65*x69
- 0.887203867225*b32 - 0.887203867225*b48 =G= -0.887203867225;
e293.. sqr(x66) + sqr(x67) + sqr(x68) + sqr(x69) - 2*x66*x68 - 2*x67*x69
- 0.469370231236*b40 - 0.469370231236*b48 =G= -0.469370231236;
e294.. sqr(x68) + sqr(x69) + sqr(x70) + sqr(x71) - 2*x68*x70 - 2*x69*x71
- 1.436936830729*b48 - 1.436936830729*b52 =G= -1.436936830729;
e295.. sqr(x68) + sqr(x69) + sqr(x72) + sqr(x73) - 2*x69*x73 - 2*x68*x72
- 1.436936830729*b48 - 1.436936830729*b56 =G= -1.436936830729;
e296.. sqr(x68) + sqr(x69) + sqr(x74) + sqr(x75) - 2*x68*x74 - 2*x69*x75
- 3.484990776969*b48 - 3.484990776969*b58 =G= -3.484990776969;
e297.. sqr(x68) + sqr(x69) + sqr(x76) + sqr(x77) - 2*x69*x77 - 2*x68*x76
- 3.484990776969*b48 - 3.484990776969*b60 =G= -3.484990776969;
e298.. sqr(x62) + sqr(x63) + sqr(x70) + sqr(x71) - 2*x63*x71 - 2*x62*x70
- 2.118573403024*b26 - 2.118573403024*b52 =G= -2.118573403024;
e299.. sqr(x64) + sqr(x65) + sqr(x70) + sqr(x71) - 2*x65*x71 - 2*x64*x70
- 2.118573403024*b32 - 2.118573403024*b52 =G= -2.118573403024;
e300.. sqr(x66) + sqr(x67) + sqr(x70) + sqr(x71) - 2*x67*x71 - 2*x66*x70
- 1.436936830729*b40 - 1.436936830729*b52 =G= -1.436936830729;
e301.. sqr(x68) + sqr(x69) + sqr(x70) + sqr(x71) - 2*x68*x70 - 2*x69*x71
- 1.436936830729*b48 - 1.436936830729*b52 =G= -1.436936830729;
e302.. sqr(x70) + sqr(x71) + sqr(x72) + sqr(x73) - 2*x70*x72 - 2*x71*x73
- 2.9321082756*b52 - 2.9321082756*b56 =G= -2.9321082756;
e303.. sqr(x70) + sqr(x71) + sqr(x74) + sqr(x75) - 2*x70*x74 - 2*x71*x75
- 5.6664469849*b52 - 5.6664469849*b58 =G= -5.6664469849;
e304.. sqr(x70) + sqr(x71) + sqr(x76) + sqr(x77) - 2*x70*x76 - 2*x71*x77
- 5.6664469849*b52 - 5.6664469849*b60 =G= -5.6664469849;
e305.. sqr(x62) + sqr(x63) + sqr(x72) + sqr(x73) - 2*x62*x72 - 2*x63*x73
- 2.118573403024*b26 - 2.118573403024*b56 =G= -2.118573403024;
e306.. sqr(x64) + sqr(x65) + sqr(x72) + sqr(x73) - 2*x65*x73 - 2*x64*x72
- 2.118573403024*b32 - 2.118573403024*b56 =G= -2.118573403024;
e307.. sqr(x66) + sqr(x67) + sqr(x72) + sqr(x73) - 2*x66*x72 - 2*x67*x73
- 1.436936830729*b40 - 1.436936830729*b56 =G= -1.436936830729;
e308.. sqr(x68) + sqr(x69) + sqr(x72) + sqr(x73) - 2*x69*x73 - 2*x68*x72
- 1.436936830729*b48 - 1.436936830729*b56 =G= -1.436936830729;
e309.. sqr(x70) + sqr(x71) + sqr(x72) + sqr(x73) - 2*x70*x72 - 2*x71*x73
- 2.9321082756*b52 - 2.9321082756*b56 =G= -2.9321082756;
e310.. sqr(x72) + sqr(x73) + sqr(x74) + sqr(x75) - 2*x72*x74 - 2*x73*x75
- 5.6664469849*b56 - 5.6664469849*b58 =G= -5.6664469849;
e311.. sqr(x72) + sqr(x73) + sqr(x76) + sqr(x77) - 2*x72*x76 - 2*x73*x77
- 5.6664469849*b56 - 5.6664469849*b60 =G= -5.6664469849;
e312.. sqr(x62) + sqr(x63) + sqr(x74) + sqr(x75) - 2*x63*x75 - 2*x62*x74
- 4.509770398884*b26 - 4.509770398884*b58 =G= -4.509770398884;
e313.. sqr(x64) + sqr(x65) + sqr(x74) + sqr(x75) - 2*x64*x74 - 2*x65*x75
- 4.509770398884*b32 - 4.509770398884*b58 =G= -4.509770398884;
e314.. sqr(x66) + sqr(x67) + sqr(x74) + sqr(x75) - 2*x67*x75 - 2*x66*x74
- 3.484990776969*b40 - 3.484990776969*b58 =G= -3.484990776969;
e315.. sqr(x68) + sqr(x69) + sqr(x74) + sqr(x75) - 2*x68*x74 - 2*x69*x75
- 3.484990776969*b48 - 3.484990776969*b58 =G= -3.484990776969;
e316.. sqr(x70) + sqr(x71) + sqr(x74) + sqr(x75) - 2*x70*x74 - 2*x71*x75
- 5.6664469849*b52 - 5.6664469849*b58 =G= -5.6664469849;
e317.. sqr(x72) + sqr(x73) + sqr(x74) + sqr(x75) - 2*x72*x74 - 2*x73*x75
- 5.6664469849*b56 - 5.6664469849*b58 =G= -5.6664469849;
e318.. sqr(x74) + sqr(x75) + sqr(x76) + sqr(x77) - 2*x74*x76 - 2*x75*x77
- 9.2934741904*b58 - 9.2934741904*b60 =G= -9.2934741904;
e319.. sqr(x62) + sqr(x63) + sqr(x76) + sqr(x77) - 2*x63*x77 - 2*x62*x76
- 4.509770398884*b26 - 4.509770398884*b60 =G= -4.509770398884;
e320.. sqr(x64) + sqr(x65) + sqr(x76) + sqr(x77) - 2*x65*x77 - 2*x64*x76
- 4.509770398884*b32 - 4.509770398884*b60 =G= -4.509770398884;
e321.. sqr(x66) + sqr(x67) + sqr(x76) + sqr(x77) - 2*x66*x76 - 2*x67*x77
- 3.484990776969*b40 - 3.484990776969*b60 =G= -3.484990776969;
e322.. sqr(x68) + sqr(x69) + sqr(x76) + sqr(x77) - 2*x69*x77 - 2*x68*x76
- 3.484990776969*b48 - 3.484990776969*b60 =G= -3.484990776969;
e323.. sqr(x70) + sqr(x71) + sqr(x76) + sqr(x77) - 2*x70*x76 - 2*x71*x77
- 5.6664469849*b52 - 5.6664469849*b60 =G= -5.6664469849;
e324.. sqr(x72) + sqr(x73) + sqr(x76) + sqr(x77) - 2*x72*x76 - 2*x73*x77
- 5.6664469849*b56 - 5.6664469849*b60 =G= -5.6664469849;
e325.. sqr(x74) + sqr(x75) + sqr(x76) + sqr(x77) - 2*x74*x76 - 2*x75*x77
- 9.2934741904*b58 - 9.2934741904*b60 =G= -9.2934741904;
e326.. sqr(x62) + sqr(x63) + sqr(x64) + sqr(x65) - 2*x62*x64 - 2*x63*x65
- 1.436939228176*b27 - 1.436939228176*b33 =G= -1.436939228176;
e327.. sqr(x62) + sqr(x63) + sqr(x66) + sqr(x67) - 2*x62*x66 - 2*x63*x67
- 0.887203867225*b27 - 0.887203867225*b41 =G= -0.887203867225;
e328.. sqr(x62) + sqr(x63) + sqr(x68) + sqr(x69) - 2*x62*x68 - 2*x63*x69
- 0.887203867225*b27 - 0.887203867225*b49 =G= -0.887203867225;
e329.. sqr(x62) + sqr(x63) + sqr(x70) + sqr(x71) - 2*x63*x71 - 2*x62*x70
- 2.118573403024*b27 - 2.118573403024*b53 =G= -2.118573403024;
e330.. sqr(x62) + sqr(x63) + sqr(x72) + sqr(x73) - 2*x62*x72 - 2*x63*x73
- 2.118573403024*b27 - 2.118573403024*b57 =G= -2.118573403024;
e331.. sqr(x62) + sqr(x63) + sqr(x74) + sqr(x75) - 2*x63*x75 - 2*x62*x74
- 4.509770398884*b27 - 4.509770398884*b59 =G= -4.509770398884;
e332.. sqr(x62) + sqr(x63) + sqr(x76) + sqr(x77) - 2*x63*x77 - 2*x62*x76
- 4.509770398884*b27 - 4.509770398884*b61 =G= -4.509770398884;
e333.. sqr(x62) + sqr(x63) + sqr(x64) + sqr(x65) - 2*x62*x64 - 2*x63*x65
- 1.436939228176*b27 - 1.436939228176*b33 =G= -1.436939228176;
e334.. sqr(x64) + sqr(x65) + sqr(x66) + sqr(x67) - 2*x64*x66 - 2*x65*x67
- 0.887203867225*b33 - 0.887203867225*b41 =G= -0.887203867225;
e335.. sqr(x64) + sqr(x65) + sqr(x68) + sqr(x69) - 2*x64*x68 - 2*x65*x69
- 0.887203867225*b33 - 0.887203867225*b49 =G= -0.887203867225;
e336.. sqr(x64) + sqr(x65) + sqr(x70) + sqr(x71) - 2*x65*x71 - 2*x64*x70
- 2.118573403024*b33 - 2.118573403024*b53 =G= -2.118573403024;
e337.. sqr(x64) + sqr(x65) + sqr(x72) + sqr(x73) - 2*x65*x73 - 2*x64*x72
- 2.118573403024*b33 - 2.118573403024*b57 =G= -2.118573403024;
e338.. sqr(x64) + sqr(x65) + sqr(x74) + sqr(x75) - 2*x64*x74 - 2*x65*x75
- 4.509770398884*b33 - 4.509770398884*b59 =G= -4.509770398884;
e339.. sqr(x64) + sqr(x65) + sqr(x76) + sqr(x77) - 2*x65*x77 - 2*x64*x76
- 4.509770398884*b33 - 4.509770398884*b61 =G= -4.509770398884;
e340.. sqr(x62) + sqr(x63) + sqr(x66) + sqr(x67) - 2*x62*x66 - 2*x63*x67
- 0.887203867225*b27 - 0.887203867225*b41 =G= -0.887203867225;
e341.. sqr(x64) + sqr(x65) + sqr(x66) + sqr(x67) - 2*x64*x66 - 2*x65*x67
- 0.887203867225*b33 - 0.887203867225*b41 =G= -0.887203867225;
e342.. sqr(x66) + sqr(x67) + sqr(x68) + sqr(x69) - 2*x66*x68 - 2*x67*x69
- 0.469370231236*b41 - 0.469370231236*b49 =G= -0.469370231236;
e343.. sqr(x66) + sqr(x67) + sqr(x70) + sqr(x71) - 2*x67*x71 - 2*x66*x70
- 1.436936830729*b41 - 1.436936830729*b53 =G= -1.436936830729;
e344.. sqr(x66) + sqr(x67) + sqr(x72) + sqr(x73) - 2*x66*x72 - 2*x67*x73
- 1.436936830729*b41 - 1.436936830729*b57 =G= -1.436936830729;
e345.. sqr(x66) + sqr(x67) + sqr(x74) + sqr(x75) - 2*x67*x75 - 2*x66*x74
- 3.484990776969*b41 - 3.484990776969*b59 =G= -3.484990776969;
e346.. sqr(x66) + sqr(x67) + sqr(x76) + sqr(x77) - 2*x66*x76 - 2*x67*x77
- 3.484990776969*b41 - 3.484990776969*b61 =G= -3.484990776969;
e347.. sqr(x62) + sqr(x63) + sqr(x68) + sqr(x69) - 2*x62*x68 - 2*x63*x69
- 0.887203867225*b27 - 0.887203867225*b49 =G= -0.887203867225;
e348.. sqr(x64) + sqr(x65) + sqr(x68) + sqr(x69) - 2*x64*x68 - 2*x65*x69
- 0.887203867225*b33 - 0.887203867225*b49 =G= -0.887203867225;
e349.. sqr(x66) + sqr(x67) + sqr(x68) + sqr(x69) - 2*x66*x68 - 2*x67*x69
- 0.469370231236*b41 - 0.469370231236*b49 =G= -0.469370231236;
e350.. sqr(x68) + sqr(x69) + sqr(x70) + sqr(x71) - 2*x68*x70 - 2*x69*x71
- 1.436936830729*b49 - 1.436936830729*b53 =G= -1.436936830729;
e351.. sqr(x68) + sqr(x69) + sqr(x72) + sqr(x73) - 2*x69*x73 - 2*x68*x72
- 1.436936830729*b49 - 1.436936830729*b57 =G= -1.436936830729;
e352.. sqr(x68) + sqr(x69) + sqr(x74) + sqr(x75) - 2*x68*x74 - 2*x69*x75
- 3.484990776969*b49 - 3.484990776969*b59 =G= -3.484990776969;
e353.. sqr(x68) + sqr(x69) + sqr(x76) + sqr(x77) - 2*x69*x77 - 2*x68*x76
- 3.484990776969*b49 - 3.484990776969*b61 =G= -3.484990776969;
e354.. sqr(x62) + sqr(x63) + sqr(x70) + sqr(x71) - 2*x63*x71 - 2*x62*x70
- 2.118573403024*b27 - 2.118573403024*b53 =G= -2.118573403024;
e355.. sqr(x64) + sqr(x65) + sqr(x70) + sqr(x71) - 2*x65*x71 - 2*x64*x70
- 2.118573403024*b33 - 2.118573403024*b53 =G= -2.118573403024;
e356.. sqr(x66) + sqr(x67) + sqr(x70) + sqr(x71) - 2*x67*x71 - 2*x66*x70
- 1.436936830729*b41 - 1.436936830729*b53 =G= -1.436936830729;
e357.. sqr(x68) + sqr(x69) + sqr(x70) + sqr(x71) - 2*x68*x70 - 2*x69*x71
- 1.436936830729*b49 - 1.436936830729*b53 =G= -1.436936830729;
e358.. sqr(x70) + sqr(x71) + sqr(x72) + sqr(x73) - 2*x70*x72 - 2*x71*x73
- 2.9321082756*b53 - 2.9321082756*b57 =G= -2.9321082756;
e359.. sqr(x70) + sqr(x71) + sqr(x74) + sqr(x75) - 2*x70*x74 - 2*x71*x75
- 5.6664469849*b53 - 5.6664469849*b59 =G= -5.6664469849;
e360.. sqr(x70) + sqr(x71) + sqr(x76) + sqr(x77) - 2*x70*x76 - 2*x71*x77
- 5.6664469849*b53 - 5.6664469849*b61 =G= -5.6664469849;
e361.. sqr(x62) + sqr(x63) + sqr(x72) + sqr(x73) - 2*x63*x73 - 2*x62*x72
- 2.118573403024*b27 - 2.118573403024*b57 =G= -2.118573403024;
e362.. sqr(x64) + sqr(x65) + sqr(x72) + sqr(x73) - 2*x65*x73 - 2*x64*x72
- 2.118573403024*b33 - 2.118573403024*b57 =G= -2.118573403024;
e363.. sqr(x66) + sqr(x67) + sqr(x72) + sqr(x73) - 2*x66*x72 - 2*x67*x73
- 1.436936830729*b41 - 1.436936830729*b57 =G= -1.436936830729;
e364.. sqr(x68) + sqr(x69) + sqr(x72) + sqr(x73) - 2*x69*x73 - 2*x68*x72
- 1.436936830729*b49 - 1.436936830729*b57 =G= -1.436936830729;
e365.. sqr(x70) + sqr(x71) + sqr(x72) + sqr(x73) - 2*x70*x72 - 2*x71*x73
- 2.9321082756*b53 - 2.9321082756*b57 =G= -2.9321082756;
e366.. sqr(x72) + sqr(x73) + sqr(x74) + sqr(x75) - 2*x72*x74 - 2*x73*x75
- 5.6664469849*b57 - 5.6664469849*b59 =G= -5.6664469849;
e367.. sqr(x72) + sqr(x73) + sqr(x76) + sqr(x77) - 2*x72*x76 - 2*x73*x77
- 5.6664469849*b57 - 5.6664469849*b61 =G= -5.6664469849;
e368.. sqr(x62) + sqr(x63) + sqr(x74) + sqr(x75) - 2*x63*x75 - 2*x62*x74
- 4.509770398884*b27 - 4.509770398884*b59 =G= -4.509770398884;
e369.. sqr(x64) + sqr(x65) + sqr(x74) + sqr(x75) - 2*x64*x74 - 2*x65*x75
- 4.509770398884*b33 - 4.509770398884*b59 =G= -4.509770398884;
e370.. sqr(x66) + sqr(x67) + sqr(x74) + sqr(x75) - 2*x67*x75 - 2*x66*x74
- 3.484990776969*b41 - 3.484990776969*b59 =G= -3.484990776969;
e371.. sqr(x68) + sqr(x69) + sqr(x74) + sqr(x75) - 2*x68*x74 - 2*x69*x75
- 3.484990776969*b49 - 3.484990776969*b59 =G= -3.484990776969;
e372.. sqr(x70) + sqr(x71) + sqr(x74) + sqr(x75) - 2*x70*x74 - 2*x71*x75
- 5.6664469849*b53 - 5.6664469849*b59 =G= -5.6664469849;
e373.. sqr(x72) + sqr(x73) + sqr(x74) + sqr(x75) - 2*x72*x74 - 2*x73*x75
- 5.6664469849*b57 - 5.6664469849*b59 =G= -5.6664469849;
e374.. sqr(x74) + sqr(x75) + sqr(x76) + sqr(x77) - 2*x74*x76 - 2*x75*x77
- 9.2934741904*b59 - 9.2934741904*b61 =G= -9.2934741904;
e375.. sqr(x62) + sqr(x63) + sqr(x76) + sqr(x77) - 2*x63*x77 - 2*x62*x76
- 4.509770398884*b27 - 4.509770398884*b61 =G= -4.509770398884;
e376.. sqr(x64) + sqr(x65) + sqr(x76) + sqr(x77) - 2*x65*x77 - 2*x64*x76
- 4.509770398884*b33 - 4.509770398884*b61 =G= -4.509770398884;
e377.. sqr(x66) + sqr(x67) + sqr(x76) + sqr(x77) - 2*x66*x76 - 2*x67*x77
- 3.484990776969*b41 - 3.484990776969*b61 =G= -3.484990776969;
e378.. sqr(x68) + sqr(x69) + sqr(x76) + sqr(x77) - 2*x69*x77 - 2*x68*x76
- 3.484990776969*b49 - 3.484990776969*b61 =G= -3.484990776969;
e379.. sqr(x70) + sqr(x71) + sqr(x76) + sqr(x77) - 2*x70*x76 - 2*x71*x77
- 5.6664469849*b53 - 5.6664469849*b61 =G= -5.6664469849;
e380.. sqr(x72) + sqr(x73) + sqr(x76) + sqr(x77) - 2*x72*x76 - 2*x73*x77
- 5.6664469849*b57 - 5.6664469849*b61 =G= -5.6664469849;
e381.. sqr(x74) + sqr(x75) + sqr(x76) + sqr(x77) - 2*x74*x76 - 2*x75*x77
- 9.2934741904*b59 - 9.2934741904*b61 =G= -9.2934741904;
e382.. sqr(x62) + sqr(x63) + sqr(x70) + sqr(x71) - 2*x62*x70 - 2*x63*x71
+ 146.015866806048*b22 =L= 146.035526210992;
e383.. sqr(x62) + sqr(x63) + sqr(x72) + sqr(x73) - 2*x62*x72 - 2*x63*x73
+ 146.015866806048*b23 =L= 146.035526210992;
e384.. sqr(x62) + sqr(x63) + sqr(x74) + sqr(x75) - 2*x62*x74 - 2*x63*x75
+ 124.074660797768*b24 =L= 124.688044241112;
e385.. sqr(x62) + sqr(x63) + sqr(x76) + sqr(x77) - 2*x62*x76 - 2*x63*x77
+ 124.074660797768*b25 =L= 124.688044241112;
e386.. sqr(x62) + sqr(x63) + sqr(x78) + sqr(x79) - 2*x62*x78 - 2*x63*x79
+ 111.557223492128*b26 =L= 112.885590384432;
e387.. sqr(x62) + sqr(x63) + sqr(x80) + sqr(x81) - 2*x62*x80 - 2*x63*x81
+ 111.557223492128*b27 =L= 112.885590384432;
e388.. sqr(x64) + sqr(x65) + sqr(x70) + sqr(x71) - 2*x64*x70 - 2*x65*x71
+ 146.015866806048*b28 =L= 146.035526210992;
e389.. sqr(x64) + sqr(x65) + sqr(x72) + sqr(x73) - 2*x64*x72 - 2*x65*x73
+ 146.015866806048*b29 =L= 146.035526210992;
e390.. sqr(x64) + sqr(x65) + sqr(x74) + sqr(x75) - 2*x64*x74 - 2*x65*x75
+ 124.074660797768*b30 =L= 124.688044241112;
e391.. sqr(x64) + sqr(x65) + sqr(x76) + sqr(x77) - 2*x64*x76 - 2*x65*x77
+ 124.074660797768*b31 =L= 124.688044241112;
e392.. sqr(x64) + sqr(x65) + sqr(x78) + sqr(x79) - 2*x64*x78 - 2*x65*x79
+ 111.557223492128*b32 =L= 112.885590384432;
e393.. sqr(x64) + sqr(x65) + sqr(x80) + sqr(x81) - 2*x64*x80 - 2*x65*x81
+ 111.557223492128*b33 =L= 112.885590384432;
e394.. sqr(x62) + sqr(x63) + sqr(x66) + sqr(x67) - 2*x62*x66 - 2*x63*x67
+ 164.09780773445*b34 =L= 164.128395645686;
e395.. sqr(x64) + sqr(x65) + sqr(x66) + sqr(x67) - 2*x64*x66 - 2*x65*x67
+ 164.09780773445*b35 =L= 164.128395645686;
e396.. sqr(x66) + sqr(x67) + sqr(x70) + sqr(x71) - 2*x66*x70 - 2*x67*x71
+ 154.924953661458*b36 =L= 155.082579335899;
e397.. sqr(x66) + sqr(x67) + sqr(x72) + sqr(x73) - 2*x66*x72 - 2*x67*x73
+ 154.924953661458*b37 =L= 155.082579335899;
e398.. sqr(x66) + sqr(x67) + sqr(x74) + sqr(x75) - 2*x66*x74 - 2*x67*x75
+ 132.297461553938*b38 =L= 133.379055313947;
e399.. sqr(x66) + sqr(x67) + sqr(x76) + sqr(x77) - 2*x66*x76 - 2*x67*x77
+ 132.297461553938*b39 =L= 133.379055313947;
e400.. sqr(x66) + sqr(x67) + sqr(x78) + sqr(x79) - 2*x66*x78 - 2*x67*x79
+ 119.361045500978*b40 =L= 121.347332654427;
e401.. sqr(x66) + sqr(x67) + sqr(x80) + sqr(x81) - 2*x66*x80 - 2*x67*x81
+ 119.361045500978*b41 =L= 121.347332654427;
e402.. sqr(x62) + sqr(x63) + sqr(x68) + sqr(x69) - 2*x62*x68 - 2*x63*x69
+ 164.09780773445*b42 =L= 164.128395645686;
e403.. sqr(x64) + sqr(x65) + sqr(x68) + sqr(x69) - 2*x64*x68 - 2*x65*x69
+ 164.09780773445*b43 =L= 164.128395645686;
e404.. sqr(x68) + sqr(x69) + sqr(x70) + sqr(x71) - 2*x68*x70 - 2*x69*x71
+ 154.924953661458*b44 =L= 155.082579335899;
e405.. sqr(x68) + sqr(x69) + sqr(x72) + sqr(x73) - 2*x68*x72 - 2*x69*x73
+ 154.924953661458*b45 =L= 155.082579335899;
e406.. sqr(x68) + sqr(x69) + sqr(x74) + sqr(x75) - 2*x68*x74 - 2*x69*x75
+ 132.297461553938*b46 =L= 133.379055313947;
e407.. sqr(x68) + sqr(x69) + sqr(x76) + sqr(x77) - 2*x68*x76 - 2*x69*x77
+ 132.297461553938*b47 =L= 133.379055313947;
e408.. sqr(x68) + sqr(x69) + sqr(x78) + sqr(x79) - 2*x68*x78 - 2*x69*x79
+ 119.361045500978*b48 =L= 121.347332654427;
e409.. sqr(x68) + sqr(x69) + sqr(x80) + sqr(x81) - 2*x68*x80 - 2*x69*x81
+ 119.361045500978*b49 =L= 121.347332654427;
e410.. sqr(x70) + sqr(x71) + sqr(x74) + sqr(x75) - 2*x70*x74 - 2*x71*x75
+ 116.1156939698*b50 =L= 116.3927698742;
e411.. sqr(x70) + sqr(x71) + sqr(x76) + sqr(x77) - 2*x70*x76 - 2*x71*x77
+ 116.1156939698*b51 =L= 116.3927698742;
e412.. sqr(x70) + sqr(x71) + sqr(x78) + sqr(x79) - 2*x70*x78 - 2*x71*x79
+ 104.01723378*b52 =L= 104.8195839276;
e413.. sqr(x70) + sqr(x71) + sqr(x80) + sqr(x81) - 2*x70*x80 - 2*x71*x81
+ 104.01723378*b53 =L= 104.8195839276;
e414.. sqr(x72) + sqr(x73) + sqr(x74) + sqr(x75) - 2*x72*x74 - 2*x73*x75
+ 116.1156939698*b54 =L= 116.3927698742;
e415.. sqr(x72) + sqr(x73) + sqr(x76) + sqr(x77) - 2*x72*x76 - 2*x73*x77
+ 116.1156939698*b55 =L= 116.3927698742;
e416.. sqr(x72) + sqr(x73) + sqr(x78) + sqr(x79) - 2*x72*x78 - 2*x73*x79
+ 104.01723378*b56 =L= 104.8195839276;
e417.. sqr(x72) + sqr(x73) + sqr(x80) + sqr(x81) - 2*x72*x80 - 2*x73*x81
+ 104.01723378*b57 =L= 104.8195839276;
e418.. sqr(x74) + sqr(x75) + sqr(x78) + sqr(x79) - 2*x74*x78 - 2*x75*x79
+ 85.6376636642*b58 =L= 85.6894881867;
e419.. sqr(x74) + sqr(x75) + sqr(x80) + sqr(x81) - 2*x74*x80 - 2*x75*x81
+ 85.6376636642*b59 =L= 85.6894881867;
e420.. sqr(x76) + sqr(x77) + sqr(x78) + sqr(x79) - 2*x76*x78 - 2*x77*x79
+ 85.6376636642*b60 =L= 85.6894881867;
e421.. sqr(x76) + sqr(x77) + sqr(x80) + sqr(x81) - 2*x76*x80 - 2*x77*x81
+ 85.6376636642*b61 =L= 85.6894881867;
e422.. b2 + b3 + b22 + b23 + b24 + b25 + b26 + b27 =L= 1;
e423.. b4 + b5 + b28 + b29 + b30 + b31 + b32 + b33 =L= 1;
e424.. b6 + b7 + b34 + b35 + b36 + b37 + b38 + b39 + b40 + b41 =L= 1;
e425.. b8 + b9 + b42 + b43 + b44 + b45 + b46 + b47 + b48 + b49 =L= 1;
e426.. b10 + b11 + b50 + b51 + b52 + b53 =L= 1;
e427.. b12 + b13 + b54 + b55 + b56 + b57 =L= 1;
e428.. b14 + b15 + b58 + b59 =L= 1;
e429.. b16 + b17 + b60 + b61 =L= 1;
e430.. b18 + b19 =L= 1;
e431.. b20 + b21 =L= 1;
e432.. - b10 - b11 + b22 =L= 0;
e433.. - b12 - b13 + b23 =L= 0;
e434.. - b14 - b15 + b24 =L= 0;
e435.. - b16 - b17 + b25 =L= 0;
e436.. - b18 - b19 + b26 =L= 0;
e437.. - b20 - b21 + b27 =L= 0;
e438.. - b10 - b11 + b28 =L= 0;
e439.. - b12 - b13 + b29 =L= 0;
e440.. - b14 - b15 + b30 =L= 0;
e441.. - b16 - b17 + b31 =L= 0;
e442.. - b18 - b19 + b32 =L= 0;
e443.. - b20 - b21 + b33 =L= 0;
e444.. - b2 - b3 + b34 =L= 0;
e445.. - b4 - b5 + b35 =L= 0;
e446.. - b10 - b11 + b36 =L= 0;
e447.. - b12 - b13 + b37 =L= 0;
e448.. - b14 - b15 + b38 =L= 0;
e449.. - b16 - b17 + b39 =L= 0;
e450.. - b18 - b19 + b40 =L= 0;
e451.. - b20 - b21 + b41 =L= 0;
e452.. - b2 - b3 + b42 =L= 0;
e453.. - b4 - b5 + b43 =L= 0;
e454.. - b10 - b11 + b44 =L= 0;
e455.. - b12 - b13 + b45 =L= 0;
e456.. - b14 - b15 + b46 =L= 0;
e457.. - b16 - b17 + b47 =L= 0;
e458.. - b18 - b19 + b48 =L= 0;
e459.. - b20 - b21 + b49 =L= 0;
e460.. - b14 - b15 + b50 =L= 0;
e461.. - b16 - b17 + b51 =L= 0;
e462.. - b18 - b19 + b52 =L= 0;
e463.. - b20 - b21 + b53 =L= 0;
e464.. - b14 - b15 + b54 =L= 0;
e465.. - b16 - b17 + b55 =L= 0;
e466.. - b18 - b19 + b56 =L= 0;
e467.. - b20 - b21 + b57 =L= 0;
e468.. - b18 - b19 + b58 =L= 0;
e469.. - b20 - b21 + b59 =L= 0;
e470.. - b18 - b19 + b60 =L= 0;
e471.. - b20 - b21 + b61 =L= 0;
e472.. x62 - x64 =L= 0;
e473.. x66 - x68 =L= 0;
e474.. x70 - x72 =L= 0;
e475.. x74 - x76 =L= 0;
e476.. x78 - x80 =L= 0;
* set non-default bounds
x62.lo = 0.599362; x62.up = 9.400638;
x63.lo = 0.599362; x63.up = 9.400638;
x64.lo = 0.599362; x64.up = 9.400638;
x65.lo = 0.599362; x65.up = 9.400638;
x66.lo = 0.342553; x66.up = 9.657447;
x67.lo = 0.342553; x67.up = 9.657447;
x68.lo = 0.342553; x68.up = 9.657447;
x69.lo = 0.342553; x69.up = 9.657447;
x70.lo = 0.85617; x70.up = 9.14383;
x71.lo = 0.85617; x71.up = 9.14383;
x72.lo = 0.85617; x72.up = 9.14383;
x73.lo = 0.85617; x73.up = 9.14383;
x74.lo = 1.52426; x74.up = 8.47574;
x75.lo = 1.52426; x75.up = 8.47574;
x76.lo = 1.52426; x76.up = 8.47574;
x77.lo = 1.52426; x77.up = 8.47574;
x78.lo = 1.93213; x78.up = 8.06787;
x79.lo = 1.93213; x79.up = 8.06787;
x80.lo = 1.93213; x80.up = 8.06787;
x81.lo = 1.93213; x81.up = 8.06787;
Model m / all /;
m.limrow=0; m.limcol=0;
m.tolproj=0.0;
$if NOT '%gams.u1%' == '' $include '%gams.u1%'
$if not set MINLP $set MINLP MINLP
Solve m using %MINLP% minimizing objvar;
Last updated: 2024-08-26 Git hash: 6cc1607f