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)
-20.06649344 p1 ( gdx sol )
(infeas: 1e-14)
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 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
*        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: 2022-08-11 Git hash: f176bd52
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