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A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance ringpack_10_1

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 1 rectangle.
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 70
#Binary Variables 50
#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 50
#Nonlinear Nonzeros in Objective 0
#Constraints 385
#Linear Constraints 55
#Quadratic Constraints 330
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 2080
#Nonlinear Nonzeros in Jacobian 1320
#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
*        386        1      290       95        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*         71       21       50        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       2131      811     1320        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,x52
          ,x53,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69
          ,x70,x71;

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;

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;


e1..    objvar + 0.287403606378025*b2 + 0.287403606378025*b3
      + 0.0946538180425961*b4 + 0.0946538180425961*b5 + 0.584516458645496*b6
      + 0.584516458645496*b7 + 1.29409755392315*b8 + 1.29409755392315*b9
      + 2.08582176557546*b10 + 2.08582176557546*b11 + 2.08582176557546*b12
      + 2.08582176557546*b13 + 2.08582176557546*b14 + 2.08582176557546*b15
      + 2.08582176557546*b16 + 2.08582176557546*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
      =E= 0;

e2.. sqr(x52) + sqr(x53) + sqr(x54) + sqr(x55) - 2*x52*x54 - 2*x53*x55
      - 1.436939228176*b2 - 1.436939228176*b3 =G= -1.436939228176;

e3.. sqr(x52) + sqr(x53) + sqr(x56) + sqr(x57) - 2*x52*x56 - 2*x53*x57
      - 0.887203867225*b2 - 0.887203867225*b4 =G= -0.887203867225;

e4.. sqr(x52) + sqr(x53) + sqr(x58) + sqr(x59) - 2*x52*x58 - 2*x53*x59
      - 0.887203867225*b2 - 0.887203867225*b5 =G= -0.887203867225;

e5.. sqr(x52) + sqr(x53) + sqr(x60) + sqr(x61) - 2*x52*x60 - 2*x53*x61
      - 2.118573403024*b2 - 2.118573403024*b6 =G= -2.118573403024;

e6.. sqr(x52) + sqr(x53) + sqr(x62) + sqr(x63) - 2*x52*x62 - 2*x53*x63
      - 2.118573403024*b2 - 2.118573403024*b7 =G= -2.118573403024;

e7.. sqr(x52) + sqr(x53) + sqr(x64) + sqr(x65) - 2*x53*x65 - 2*x52*x64
      - 4.509770398884*b2 - 4.509770398884*b8 =G= -4.509770398884;

e8.. sqr(x52) + sqr(x53) + sqr(x66) + sqr(x67) - 2*x53*x67 - 2*x52*x66
      - 4.509770398884*b2 - 4.509770398884*b9 =G= -4.509770398884;

e9.. sqr(x52) + sqr(x53) + sqr(x68) + sqr(x69) - 2*x52*x68 - 2*x53*x69
      - 6.408451746064*b2 - 6.408451746064*b10 =G= -6.408451746064;

e10.. sqr(x52) + sqr(x53) + sqr(x70) + sqr(x71) - 2*x53*x71 - 2*x52*x70
       - 6.408451746064*b2 - 6.408451746064*b11 =G= -6.408451746064;

e11.. sqr(x52) + sqr(x53) + sqr(x54) + sqr(x55) - 2*x52*x54 - 2*x53*x55
       - 1.436939228176*b2 - 1.436939228176*b3 =G= -1.436939228176;

e12.. sqr(x54) + sqr(x55) + sqr(x56) + sqr(x57) - 2*x54*x56 - 2*x55*x57
       - 0.887203867225*b3 - 0.887203867225*b4 =G= -0.887203867225;

e13.. sqr(x54) + sqr(x55) + sqr(x58) + sqr(x59) - 2*x54*x58 - 2*x55*x59
       - 0.887203867225*b3 - 0.887203867225*b5 =G= -0.887203867225;

e14.. sqr(x54) + sqr(x55) + sqr(x60) + sqr(x61) - 2*x54*x60 - 2*x55*x61
       - 2.118573403024*b3 - 2.118573403024*b6 =G= -2.118573403024;

e15.. sqr(x54) + sqr(x55) + sqr(x62) + sqr(x63) - 2*x55*x63 - 2*x54*x62
       - 2.118573403024*b3 - 2.118573403024*b7 =G= -2.118573403024;

e16.. sqr(x54) + sqr(x55) + sqr(x64) + sqr(x65) - 2*x55*x65 - 2*x54*x64
       - 4.509770398884*b3 - 4.509770398884*b8 =G= -4.509770398884;

e17.. sqr(x54) + sqr(x55) + sqr(x66) + sqr(x67) - 2*x54*x66 - 2*x55*x67
       - 4.509770398884*b3 - 4.509770398884*b9 =G= -4.509770398884;

e18.. sqr(x54) + sqr(x55) + sqr(x68) + sqr(x69) - 2*x55*x69 - 2*x54*x68
       - 6.408451746064*b3 - 6.408451746064*b10 =G= -6.408451746064;

e19.. sqr(x54) + sqr(x55) + sqr(x70) + sqr(x71) - 2*x55*x71 - 2*x54*x70
       - 6.408451746064*b3 - 6.408451746064*b11 =G= -6.408451746064;

e20.. sqr(x52) + sqr(x53) + sqr(x56) + sqr(x57) - 2*x52*x56 - 2*x53*x57
       - 0.887203867225*b2 - 0.887203867225*b4 =G= -0.887203867225;

e21.. sqr(x54) + sqr(x55) + sqr(x56) + sqr(x57) - 2*x54*x56 - 2*x55*x57
       - 0.887203867225*b3 - 0.887203867225*b4 =G= -0.887203867225;

e22.. sqr(x56) + sqr(x57) + sqr(x58) + sqr(x59) - 2*x56*x58 - 2*x57*x59
       - 0.469370231236*b4 - 0.469370231236*b5 =G= -0.469370231236;

e23.. sqr(x56) + sqr(x57) + sqr(x60) + sqr(x61) - 2*x56*x60 - 2*x57*x61
       - 1.436936830729*b4 - 1.436936830729*b6 =G= -1.436936830729;

e24.. sqr(x56) + sqr(x57) + sqr(x62) + sqr(x63) - 2*x57*x63 - 2*x56*x62
       - 1.436936830729*b4 - 1.436936830729*b7 =G= -1.436936830729;

e25.. sqr(x56) + sqr(x57) + sqr(x64) + sqr(x65) - 2*x56*x64 - 2*x57*x65
       - 3.484990776969*b4 - 3.484990776969*b8 =G= -3.484990776969;

e26.. sqr(x56) + sqr(x57) + sqr(x66) + sqr(x67) - 2*x57*x67 - 2*x56*x66
       - 3.484990776969*b4 - 3.484990776969*b9 =G= -3.484990776969;

e27.. sqr(x56) + sqr(x57) + sqr(x68) + sqr(x69) - 2*x57*x69 - 2*x56*x68
       - 5.174182750489*b4 - 5.174182750489*b10 =G= -5.174182750489;

e28.. sqr(x56) + sqr(x57) + sqr(x70) + sqr(x71) - 2*x56*x70 - 2*x57*x71
       - 5.174182750489*b4 - 5.174182750489*b11 =G= -5.174182750489;

e29.. sqr(x52) + sqr(x53) + sqr(x58) + sqr(x59) - 2*x52*x58 - 2*x53*x59
       - 0.887203867225*b2 - 0.887203867225*b5 =G= -0.887203867225;

e30.. sqr(x54) + sqr(x55) + sqr(x58) + sqr(x59) - 2*x54*x58 - 2*x55*x59
       - 0.887203867225*b3 - 0.887203867225*b5 =G= -0.887203867225;

e31.. sqr(x56) + sqr(x57) + sqr(x58) + sqr(x59) - 2*x56*x58 - 2*x57*x59
       - 0.469370231236*b4 - 0.469370231236*b5 =G= -0.469370231236;

e32.. sqr(x58) + sqr(x59) + sqr(x60) + sqr(x61) - 2*x58*x60 - 2*x59*x61
       - 1.436936830729*b5 - 1.436936830729*b6 =G= -1.436936830729;

e33.. sqr(x58) + sqr(x59) + sqr(x62) + sqr(x63) - 2*x58*x62 - 2*x59*x63
       - 1.436936830729*b5 - 1.436936830729*b7 =G= -1.436936830729;

e34.. sqr(x58) + sqr(x59) + sqr(x64) + sqr(x65) - 2*x59*x65 - 2*x58*x64
       - 3.484990776969*b5 - 3.484990776969*b8 =G= -3.484990776969;

e35.. sqr(x58) + sqr(x59) + sqr(x66) + sqr(x67) - 2*x59*x67 - 2*x58*x66
       - 3.484990776969*b5 - 3.484990776969*b9 =G= -3.484990776969;

e36.. sqr(x58) + sqr(x59) + sqr(x68) + sqr(x69) - 2*x58*x68 - 2*x59*x69
       - 5.174182750489*b5 - 5.174182750489*b10 =G= -5.174182750489;

e37.. sqr(x58) + sqr(x59) + sqr(x70) + sqr(x71) - 2*x59*x71 - 2*x58*x70
       - 5.174182750489*b5 - 5.174182750489*b11 =G= -5.174182750489;

e38.. sqr(x52) + sqr(x53) + sqr(x60) + sqr(x61) - 2*x52*x60 - 2*x53*x61
       - 2.118573403024*b2 - 2.118573403024*b6 =G= -2.118573403024;

e39.. sqr(x54) + sqr(x55) + sqr(x60) + sqr(x61) - 2*x54*x60 - 2*x55*x61
       - 2.118573403024*b3 - 2.118573403024*b6 =G= -2.118573403024;

e40.. sqr(x56) + sqr(x57) + sqr(x60) + sqr(x61) - 2*x56*x60 - 2*x57*x61
       - 1.436936830729*b4 - 1.436936830729*b6 =G= -1.436936830729;

e41.. sqr(x58) + sqr(x59) + sqr(x60) + sqr(x61) - 2*x58*x60 - 2*x59*x61
       - 1.436936830729*b5 - 1.436936830729*b6 =G= -1.436936830729;

e42.. sqr(x60) + sqr(x61) + sqr(x62) + sqr(x63) - 2*x61*x63 - 2*x60*x62
       - 2.9321082756*b6 - 2.9321082756*b7 =G= -2.9321082756;

e43.. sqr(x60) + sqr(x61) + sqr(x64) + sqr(x65) - 2*x61*x65 - 2*x60*x64
       - 5.6664469849*b6 - 5.6664469849*b8 =G= -5.6664469849;

e44.. sqr(x60) + sqr(x61) + sqr(x66) + sqr(x67) - 2*x60*x66 - 2*x61*x67
       - 5.6664469849*b6 - 5.6664469849*b9 =G= -5.6664469849;

e45.. sqr(x60) + sqr(x61) + sqr(x68) + sqr(x69) - 2*x61*x69 - 2*x60*x68
       - 7.77461689*b6 - 7.77461689*b10 =G= -7.77461689;

e46.. sqr(x60) + sqr(x61) + sqr(x70) + sqr(x71) - 2*x61*x71 - 2*x60*x70
       - 7.77461689*b6 - 7.77461689*b11 =G= -7.77461689;

e47.. sqr(x52) + sqr(x53) + sqr(x62) + sqr(x63) - 2*x52*x62 - 2*x53*x63
       - 2.118573403024*b2 - 2.118573403024*b7 =G= -2.118573403024;

e48.. sqr(x54) + sqr(x55) + sqr(x62) + sqr(x63) - 2*x55*x63 - 2*x54*x62
       - 2.118573403024*b3 - 2.118573403024*b7 =G= -2.118573403024;

e49.. sqr(x56) + sqr(x57) + sqr(x62) + sqr(x63) - 2*x57*x63 - 2*x56*x62
       - 1.436936830729*b4 - 1.436936830729*b7 =G= -1.436936830729;

e50.. sqr(x58) + sqr(x59) + sqr(x62) + sqr(x63) - 2*x58*x62 - 2*x59*x63
       - 1.436936830729*b5 - 1.436936830729*b7 =G= -1.436936830729;

e51.. sqr(x60) + sqr(x61) + sqr(x62) + sqr(x63) - 2*x61*x63 - 2*x60*x62
       - 2.9321082756*b6 - 2.9321082756*b7 =G= -2.9321082756;

e52.. sqr(x62) + sqr(x63) + sqr(x64) + sqr(x65) - 2*x62*x64 - 2*x63*x65
       - 5.6664469849*b7 - 5.6664469849*b8 =G= -5.6664469849;

e53.. sqr(x62) + sqr(x63) + sqr(x66) + sqr(x67) - 2*x62*x66 - 2*x63*x67
       - 5.6664469849*b7 - 5.6664469849*b9 =G= -5.6664469849;

e54.. sqr(x62) + sqr(x63) + sqr(x68) + sqr(x69) - 2*x62*x68 - 2*x63*x69
       - 7.77461689*b7 - 7.77461689*b10 =G= -7.77461689;

e55.. sqr(x62) + sqr(x63) + sqr(x70) + sqr(x71) - 2*x62*x70 - 2*x63*x71
       - 7.77461689*b7 - 7.77461689*b11 =G= -7.77461689;

e56.. sqr(x52) + sqr(x53) + sqr(x64) + sqr(x65) - 2*x53*x65 - 2*x52*x64
       - 4.509770398884*b2 - 4.509770398884*b8 =G= -4.509770398884;

e57.. sqr(x54) + sqr(x55) + sqr(x64) + sqr(x65) - 2*x55*x65 - 2*x54*x64
       - 4.509770398884*b3 - 4.509770398884*b8 =G= -4.509770398884;

e58.. sqr(x56) + sqr(x57) + sqr(x64) + sqr(x65) - 2*x56*x64 - 2*x57*x65
       - 3.484990776969*b4 - 3.484990776969*b8 =G= -3.484990776969;

e59.. sqr(x58) + sqr(x59) + sqr(x64) + sqr(x65) - 2*x59*x65 - 2*x58*x64
       - 3.484990776969*b5 - 3.484990776969*b8 =G= -3.484990776969;

e60.. sqr(x60) + sqr(x61) + sqr(x64) + sqr(x65) - 2*x61*x65 - 2*x60*x64
       - 5.6664469849*b6 - 5.6664469849*b8 =G= -5.6664469849;

e61.. sqr(x62) + sqr(x63) + sqr(x64) + sqr(x65) - 2*x62*x64 - 2*x63*x65
       - 5.6664469849*b7 - 5.6664469849*b8 =G= -5.6664469849;

e62.. sqr(x64) + sqr(x65) + sqr(x66) + sqr(x67) - 2*x64*x66 - 2*x65*x67
       - 9.2934741904*b8 - 9.2934741904*b9 =G= -9.2934741904;

e63.. sqr(x64) + sqr(x65) + sqr(x68) + sqr(x69) - 2*x64*x68 - 2*x65*x69
       - 11.9466318321*b8 - 11.9466318321*b10 =G= -11.9466318321;

e64.. sqr(x64) + sqr(x65) + sqr(x70) + sqr(x71) - 2*x64*x70 - 2*x65*x71
       - 11.9466318321*b8 - 11.9466318321*b11 =G= -11.9466318321;

e65.. sqr(x52) + sqr(x53) + sqr(x66) + sqr(x67) - 2*x53*x67 - 2*x52*x66
       - 4.509770398884*b2 - 4.509770398884*b9 =G= -4.509770398884;

e66.. sqr(x54) + sqr(x55) + sqr(x66) + sqr(x67) - 2*x54*x66 - 2*x55*x67
       - 4.509770398884*b3 - 4.509770398884*b9 =G= -4.509770398884;

e67.. sqr(x56) + sqr(x57) + sqr(x66) + sqr(x67) - 2*x57*x67 - 2*x56*x66
       - 3.484990776969*b4 - 3.484990776969*b9 =G= -3.484990776969;

e68.. sqr(x58) + sqr(x59) + sqr(x66) + sqr(x67) - 2*x59*x67 - 2*x58*x66
       - 3.484990776969*b5 - 3.484990776969*b9 =G= -3.484990776969;

e69.. sqr(x60) + sqr(x61) + sqr(x66) + sqr(x67) - 2*x60*x66 - 2*x61*x67
       - 5.6664469849*b6 - 5.6664469849*b9 =G= -5.6664469849;

e70.. sqr(x62) + sqr(x63) + sqr(x66) + sqr(x67) - 2*x62*x66 - 2*x63*x67
       - 5.6664469849*b7 - 5.6664469849*b9 =G= -5.6664469849;

e71.. sqr(x64) + sqr(x65) + sqr(x66) + sqr(x67) - 2*x64*x66 - 2*x65*x67
       - 9.2934741904*b8 - 9.2934741904*b9 =G= -9.2934741904;

e72.. sqr(x66) + sqr(x67) + sqr(x68) + sqr(x69) - 2*x66*x68 - 2*x67*x69
       - 11.9466318321*b9 - 11.9466318321*b10 =G= -11.9466318321;

e73.. sqr(x66) + sqr(x67) + sqr(x70) + sqr(x71) - 2*x66*x70 - 2*x67*x71
       - 11.9466318321*b9 - 11.9466318321*b11 =G= -11.9466318321;

e74.. sqr(x52) + sqr(x53) + sqr(x68) + sqr(x69) - 2*x52*x68 - 2*x53*x69
       - 6.408451746064*b2 - 6.408451746064*b10 =G= -6.408451746064;

e75.. sqr(x54) + sqr(x55) + sqr(x68) + sqr(x69) - 2*x55*x69 - 2*x54*x68
       - 6.408451746064*b3 - 6.408451746064*b10 =G= -6.408451746064;

e76.. sqr(x56) + sqr(x57) + sqr(x68) + sqr(x69) - 2*x57*x69 - 2*x56*x68
       - 5.174182750489*b4 - 5.174182750489*b10 =G= -5.174182750489;

e77.. sqr(x58) + sqr(x59) + sqr(x68) + sqr(x69) - 2*x58*x68 - 2*x59*x69
       - 5.174182750489*b5 - 5.174182750489*b10 =G= -5.174182750489;

e78.. sqr(x60) + sqr(x61) + sqr(x68) + sqr(x69) - 2*x61*x69 - 2*x60*x68
       - 7.77461689*b6 - 7.77461689*b10 =G= -7.77461689;

e79.. sqr(x62) + sqr(x63) + sqr(x68) + sqr(x69) - 2*x62*x68 - 2*x63*x69
       - 7.77461689*b7 - 7.77461689*b10 =G= -7.77461689;

e80.. sqr(x64) + sqr(x65) + sqr(x68) + sqr(x69) - 2*x64*x68 - 2*x65*x69
       - 11.9466318321*b8 - 11.9466318321*b10 =G= -11.9466318321;

e81.. sqr(x66) + sqr(x67) + sqr(x68) + sqr(x69) - 2*x66*x68 - 2*x67*x69
       - 11.9466318321*b9 - 11.9466318321*b10 =G= -11.9466318321;

e82.. sqr(x68) + sqr(x69) + sqr(x70) + sqr(x71) - 2*x68*x70 - 2*x69*x71
       - 14.9325053476*b10 - 14.9325053476*b11 =G= -14.9325053476;

e83.. sqr(x52) + sqr(x53) + sqr(x70) + sqr(x71) - 2*x53*x71 - 2*x52*x70
       - 6.408451746064*b2 - 6.408451746064*b11 =G= -6.408451746064;

e84.. sqr(x54) + sqr(x55) + sqr(x70) + sqr(x71) - 2*x55*x71 - 2*x54*x70
       - 6.408451746064*b3 - 6.408451746064*b11 =G= -6.408451746064;

e85.. sqr(x56) + sqr(x57) + sqr(x70) + sqr(x71) - 2*x56*x70 - 2*x57*x71
       - 5.174182750489*b4 - 5.174182750489*b11 =G= -5.174182750489;

e86.. sqr(x58) + sqr(x59) + sqr(x70) + sqr(x71) - 2*x59*x71 - 2*x58*x70
       - 5.174182750489*b5 - 5.174182750489*b11 =G= -5.174182750489;

e87.. sqr(x60) + sqr(x61) + sqr(x70) + sqr(x71) - 2*x61*x71 - 2*x60*x70
       - 7.77461689*b6 - 7.77461689*b11 =G= -7.77461689;

e88.. sqr(x62) + sqr(x63) + sqr(x70) + sqr(x71) - 2*x62*x70 - 2*x63*x71
       - 7.77461689*b7 - 7.77461689*b11 =G= -7.77461689;

e89.. sqr(x64) + sqr(x65) + sqr(x70) + sqr(x71) - 2*x64*x70 - 2*x65*x71
       - 11.9466318321*b8 - 11.9466318321*b11 =G= -11.9466318321;

e90.. sqr(x66) + sqr(x67) + sqr(x70) + sqr(x71) - 2*x66*x70 - 2*x67*x71
       - 11.9466318321*b9 - 11.9466318321*b11 =G= -11.9466318321;

e91.. sqr(x68) + sqr(x69) + sqr(x70) + sqr(x71) - 2*x68*x70 - 2*x69*x71
       - 14.9325053476*b10 - 14.9325053476*b11 =G= -14.9325053476;

e92.. sqr(x56) + sqr(x57) + sqr(x58) + sqr(x59) - 2*x56*x58 - 2*x57*x59
       - 0.469370231236*b24 - 0.469370231236*b32 =G= -0.469370231236;

e93.. sqr(x56) + sqr(x57) + sqr(x58) + sqr(x59) - 2*x56*x58 - 2*x57*x59
       - 0.469370231236*b24 - 0.469370231236*b32 =G= -0.469370231236;

e94.. sqr(x56) + sqr(x57) + sqr(x58) + sqr(x59) - 2*x56*x58 - 2*x57*x59
       - 0.469370231236*b25 - 0.469370231236*b33 =G= -0.469370231236;

e95.. sqr(x56) + sqr(x57) + sqr(x58) + sqr(x59) - 2*x56*x58 - 2*x57*x59
       - 0.469370231236*b25 - 0.469370231236*b33 =G= -0.469370231236;

e96.. sqr(x52) + sqr(x53) + sqr(x54) + sqr(x55) - 2*x52*x54 - 2*x53*x55
       - 1.436939228176*b12 - 1.436939228176*b18 =G= -1.436939228176;

e97.. sqr(x52) + sqr(x53) + sqr(x56) + sqr(x57) - 2*x52*x56 - 2*x53*x57
       - 0.887203867225*b12 - 0.887203867225*b26 =G= -0.887203867225;

e98.. sqr(x52) + sqr(x53) + sqr(x58) + sqr(x59) - 2*x52*x58 - 2*x53*x59
       - 0.887203867225*b12 - 0.887203867225*b34 =G= -0.887203867225;

e99.. sqr(x52) + sqr(x53) + sqr(x54) + sqr(x55) - 2*x52*x54 - 2*x53*x55
       - 1.436939228176*b12 - 1.436939228176*b18 =G= -1.436939228176;

e100.. sqr(x54) + sqr(x55) + sqr(x56) + sqr(x57) - 2*x54*x56 - 2*x55*x57
        - 0.887203867225*b18 - 0.887203867225*b26 =G= -0.887203867225;

e101.. sqr(x54) + sqr(x55) + sqr(x58) + sqr(x59) - 2*x54*x58 - 2*x55*x59
        - 0.887203867225*b18 - 0.887203867225*b34 =G= -0.887203867225;

e102.. sqr(x52) + sqr(x53) + sqr(x56) + sqr(x57) - 2*x52*x56 - 2*x53*x57
        - 0.887203867225*b12 - 0.887203867225*b26 =G= -0.887203867225;

e103.. sqr(x54) + sqr(x55) + sqr(x56) + sqr(x57) - 2*x54*x56 - 2*x55*x57
        - 0.887203867225*b18 - 0.887203867225*b26 =G= -0.887203867225;

e104.. sqr(x56) + sqr(x57) + sqr(x58) + sqr(x59) - 2*x56*x58 - 2*x57*x59
        - 0.469370231236*b26 - 0.469370231236*b34 =G= -0.469370231236;

e105.. sqr(x52) + sqr(x53) + sqr(x58) + sqr(x59) - 2*x52*x58 - 2*x53*x59
        - 0.887203867225*b12 - 0.887203867225*b34 =G= -0.887203867225;

e106.. sqr(x54) + sqr(x55) + sqr(x58) + sqr(x59) - 2*x54*x58 - 2*x55*x59
        - 0.887203867225*b18 - 0.887203867225*b34 =G= -0.887203867225;

e107.. sqr(x56) + sqr(x57) + sqr(x58) + sqr(x59) - 2*x56*x58 - 2*x57*x59
        - 0.469370231236*b26 - 0.469370231236*b34 =G= -0.469370231236;

e108.. sqr(x52) + sqr(x53) + sqr(x54) + sqr(x55) - 2*x52*x54 - 2*x53*x55
        - 1.436939228176*b13 - 1.436939228176*b19 =G= -1.436939228176;

e109.. sqr(x52) + sqr(x53) + sqr(x56) + sqr(x57) - 2*x52*x56 - 2*x53*x57
        - 0.887203867225*b13 - 0.887203867225*b27 =G= -0.887203867225;

e110.. sqr(x52) + sqr(x53) + sqr(x58) + sqr(x59) - 2*x52*x58 - 2*x53*x59
        - 0.887203867225*b13 - 0.887203867225*b35 =G= -0.887203867225;

e111.. sqr(x52) + sqr(x53) + sqr(x54) + sqr(x55) - 2*x52*x54 - 2*x53*x55
        - 1.436939228176*b13 - 1.436939228176*b19 =G= -1.436939228176;

e112.. sqr(x54) + sqr(x55) + sqr(x56) + sqr(x57) - 2*x54*x56 - 2*x55*x57
        - 0.887203867225*b19 - 0.887203867225*b27 =G= -0.887203867225;

e113.. sqr(x54) + sqr(x55) + sqr(x58) + sqr(x59) - 2*x54*x58 - 2*x55*x59
        - 0.887203867225*b19 - 0.887203867225*b35 =G= -0.887203867225;

e114.. sqr(x52) + sqr(x53) + sqr(x56) + sqr(x57) - 2*x52*x56 - 2*x53*x57
        - 0.887203867225*b13 - 0.887203867225*b27 =G= -0.887203867225;

e115.. sqr(x54) + sqr(x55) + sqr(x56) + sqr(x57) - 2*x54*x56 - 2*x55*x57
        - 0.887203867225*b19 - 0.887203867225*b27 =G= -0.887203867225;

e116.. sqr(x56) + sqr(x57) + sqr(x58) + sqr(x59) - 2*x56*x58 - 2*x57*x59
        - 0.469370231236*b27 - 0.469370231236*b35 =G= -0.469370231236;

e117.. sqr(x52) + sqr(x53) + sqr(x58) + sqr(x59) - 2*x52*x58 - 2*x53*x59
        - 0.887203867225*b13 - 0.887203867225*b35 =G= -0.887203867225;

e118.. sqr(x54) + sqr(x55) + sqr(x58) + sqr(x59) - 2*x54*x58 - 2*x55*x59
        - 0.887203867225*b19 - 0.887203867225*b35 =G= -0.887203867225;

e119.. sqr(x56) + sqr(x57) + sqr(x58) + sqr(x59) - 2*x56*x58 - 2*x57*x59
        - 0.469370231236*b27 - 0.469370231236*b35 =G= -0.469370231236;

e120.. sqr(x52) + sqr(x53) + sqr(x54) + sqr(x55) - 2*x52*x54 - 2*x53*x55
        - 1.436939228176*b14 - 1.436939228176*b20 =G= -1.436939228176;

e121.. sqr(x52) + sqr(x53) + sqr(x56) + sqr(x57) - 2*x52*x56 - 2*x53*x57
        - 0.887203867225*b14 - 0.887203867225*b28 =G= -0.887203867225;

e122.. sqr(x52) + sqr(x53) + sqr(x58) + sqr(x59) - 2*x52*x58 - 2*x53*x59
        - 0.887203867225*b14 - 0.887203867225*b36 =G= -0.887203867225;

e123.. sqr(x52) + sqr(x53) + sqr(x60) + sqr(x61) - 2*x52*x60 - 2*x53*x61
        - 2.118573403024*b14 - 2.118573403024*b40 =G= -2.118573403024;

e124.. sqr(x52) + sqr(x53) + sqr(x62) + sqr(x63) - 2*x52*x62 - 2*x53*x63
        - 2.118573403024*b14 - 2.118573403024*b44 =G= -2.118573403024;

e125.. sqr(x52) + sqr(x53) + sqr(x54) + sqr(x55) - 2*x52*x54 - 2*x53*x55
        - 1.436939228176*b14 - 1.436939228176*b20 =G= -1.436939228176;

e126.. sqr(x54) + sqr(x55) + sqr(x56) + sqr(x57) - 2*x54*x56 - 2*x55*x57
        - 0.887203867225*b20 - 0.887203867225*b28 =G= -0.887203867225;

e127.. sqr(x54) + sqr(x55) + sqr(x58) + sqr(x59) - 2*x54*x58 - 2*x55*x59
        - 0.887203867225*b20 - 0.887203867225*b36 =G= -0.887203867225;

e128.. sqr(x54) + sqr(x55) + sqr(x60) + sqr(x61) - 2*x54*x60 - 2*x55*x61
        - 2.118573403024*b20 - 2.118573403024*b40 =G= -2.118573403024;

e129.. sqr(x54) + sqr(x55) + sqr(x62) + sqr(x63) - 2*x55*x63 - 2*x54*x62
        - 2.118573403024*b20 - 2.118573403024*b44 =G= -2.118573403024;

e130.. sqr(x52) + sqr(x53) + sqr(x56) + sqr(x57) - 2*x52*x56 - 2*x53*x57
        - 0.887203867225*b14 - 0.887203867225*b28 =G= -0.887203867225;

e131.. sqr(x54) + sqr(x55) + sqr(x56) + sqr(x57) - 2*x54*x56 - 2*x55*x57
        - 0.887203867225*b20 - 0.887203867225*b28 =G= -0.887203867225;

e132.. sqr(x56) + sqr(x57) + sqr(x58) + sqr(x59) - 2*x56*x58 - 2*x57*x59
        - 0.469370231236*b28 - 0.469370231236*b36 =G= -0.469370231236;

e133.. sqr(x56) + sqr(x57) + sqr(x60) + sqr(x61) - 2*x56*x60 - 2*x57*x61
        - 1.436936830729*b28 - 1.436936830729*b40 =G= -1.436936830729;

e134.. sqr(x56) + sqr(x57) + sqr(x62) + sqr(x63) - 2*x57*x63 - 2*x56*x62
        - 1.436936830729*b28 - 1.436936830729*b44 =G= -1.436936830729;

e135.. sqr(x52) + sqr(x53) + sqr(x58) + sqr(x59) - 2*x52*x58 - 2*x53*x59
        - 0.887203867225*b14 - 0.887203867225*b36 =G= -0.887203867225;

e136.. sqr(x54) + sqr(x55) + sqr(x58) + sqr(x59) - 2*x54*x58 - 2*x55*x59
        - 0.887203867225*b20 - 0.887203867225*b36 =G= -0.887203867225;

e137.. sqr(x56) + sqr(x57) + sqr(x58) + sqr(x59) - 2*x56*x58 - 2*x57*x59
        - 0.469370231236*b28 - 0.469370231236*b36 =G= -0.469370231236;

e138.. sqr(x58) + sqr(x59) + sqr(x60) + sqr(x61) - 2*x58*x60 - 2*x59*x61
        - 1.436936830729*b36 - 1.436936830729*b40 =G= -1.436936830729;

e139.. sqr(x58) + sqr(x59) + sqr(x62) + sqr(x63) - 2*x58*x62 - 2*x59*x63
        - 1.436936830729*b36 - 1.436936830729*b44 =G= -1.436936830729;

e140.. sqr(x52) + sqr(x53) + sqr(x60) + sqr(x61) - 2*x52*x60 - 2*x53*x61
        - 2.118573403024*b14 - 2.118573403024*b40 =G= -2.118573403024;

e141.. sqr(x54) + sqr(x55) + sqr(x60) + sqr(x61) - 2*x54*x60 - 2*x55*x61
        - 2.118573403024*b20 - 2.118573403024*b40 =G= -2.118573403024;

e142.. sqr(x56) + sqr(x57) + sqr(x60) + sqr(x61) - 2*x56*x60 - 2*x57*x61
        - 1.436936830729*b28 - 1.436936830729*b40 =G= -1.436936830729;

e143.. sqr(x58) + sqr(x59) + sqr(x60) + sqr(x61) - 2*x58*x60 - 2*x59*x61
        - 1.436936830729*b36 - 1.436936830729*b40 =G= -1.436936830729;

e144.. sqr(x60) + sqr(x61) + sqr(x62) + sqr(x63) - 2*x61*x63 - 2*x60*x62
        - 2.9321082756*b40 - 2.9321082756*b44 =G= -2.9321082756;

e145.. sqr(x52) + sqr(x53) + sqr(x62) + sqr(x63) - 2*x52*x62 - 2*x53*x63
        - 2.118573403024*b14 - 2.118573403024*b44 =G= -2.118573403024;

e146.. sqr(x54) + sqr(x55) + sqr(x62) + sqr(x63) - 2*x55*x63 - 2*x54*x62
        - 2.118573403024*b20 - 2.118573403024*b44 =G= -2.118573403024;

e147.. sqr(x56) + sqr(x57) + sqr(x62) + sqr(x63) - 2*x57*x63 - 2*x56*x62
        - 1.436936830729*b28 - 1.436936830729*b44 =G= -1.436936830729;

e148.. sqr(x58) + sqr(x59) + sqr(x62) + sqr(x63) - 2*x58*x62 - 2*x59*x63
        - 1.436936830729*b36 - 1.436936830729*b44 =G= -1.436936830729;

e149.. sqr(x60) + sqr(x61) + sqr(x62) + sqr(x63) - 2*x61*x63 - 2*x60*x62
        - 2.9321082756*b40 - 2.9321082756*b44 =G= -2.9321082756;

e150.. sqr(x52) + sqr(x53) + sqr(x54) + sqr(x55) - 2*x52*x54 - 2*x53*x55
        - 1.436939228176*b15 - 1.436939228176*b21 =G= -1.436939228176;

e151.. sqr(x52) + sqr(x53) + sqr(x56) + sqr(x57) - 2*x52*x56 - 2*x53*x57
        - 0.887203867225*b15 - 0.887203867225*b29 =G= -0.887203867225;

e152.. sqr(x52) + sqr(x53) + sqr(x58) + sqr(x59) - 2*x52*x58 - 2*x53*x59
        - 0.887203867225*b15 - 0.887203867225*b37 =G= -0.887203867225;

e153.. sqr(x52) + sqr(x53) + sqr(x60) + sqr(x61) - 2*x52*x60 - 2*x53*x61
        - 2.118573403024*b15 - 2.118573403024*b41 =G= -2.118573403024;

e154.. sqr(x52) + sqr(x53) + sqr(x62) + sqr(x63) - 2*x52*x62 - 2*x53*x63
        - 2.118573403024*b15 - 2.118573403024*b45 =G= -2.118573403024;

e155.. sqr(x52) + sqr(x53) + sqr(x54) + sqr(x55) - 2*x52*x54 - 2*x53*x55
        - 1.436939228176*b15 - 1.436939228176*b21 =G= -1.436939228176;

e156.. sqr(x54) + sqr(x55) + sqr(x56) + sqr(x57) - 2*x54*x56 - 2*x55*x57
        - 0.887203867225*b21 - 0.887203867225*b29 =G= -0.887203867225;

e157.. sqr(x54) + sqr(x55) + sqr(x58) + sqr(x59) - 2*x54*x58 - 2*x55*x59
        - 0.887203867225*b21 - 0.887203867225*b37 =G= -0.887203867225;

e158.. sqr(x54) + sqr(x55) + sqr(x60) + sqr(x61) - 2*x54*x60 - 2*x55*x61
        - 2.118573403024*b21 - 2.118573403024*b41 =G= -2.118573403024;

e159.. sqr(x54) + sqr(x55) + sqr(x62) + sqr(x63) - 2*x55*x63 - 2*x54*x62
        - 2.118573403024*b21 - 2.118573403024*b45 =G= -2.118573403024;

e160.. sqr(x52) + sqr(x53) + sqr(x56) + sqr(x57) - 2*x52*x56 - 2*x53*x57
        - 0.887203867225*b15 - 0.887203867225*b29 =G= -0.887203867225;

e161.. sqr(x54) + sqr(x55) + sqr(x56) + sqr(x57) - 2*x54*x56 - 2*x55*x57
        - 0.887203867225*b21 - 0.887203867225*b29 =G= -0.887203867225;

e162.. sqr(x56) + sqr(x57) + sqr(x58) + sqr(x59) - 2*x56*x58 - 2*x57*x59
        - 0.469370231236*b29 - 0.469370231236*b37 =G= -0.469370231236;

e163.. sqr(x56) + sqr(x57) + sqr(x60) + sqr(x61) - 2*x56*x60 - 2*x57*x61
        - 1.436936830729*b29 - 1.436936830729*b41 =G= -1.436936830729;

e164.. sqr(x56) + sqr(x57) + sqr(x62) + sqr(x63) - 2*x57*x63 - 2*x56*x62
        - 1.436936830729*b29 - 1.436936830729*b45 =G= -1.436936830729;

e165.. sqr(x52) + sqr(x53) + sqr(x58) + sqr(x59) - 2*x52*x58 - 2*x53*x59
        - 0.887203867225*b15 - 0.887203867225*b37 =G= -0.887203867225;

e166.. sqr(x54) + sqr(x55) + sqr(x58) + sqr(x59) - 2*x54*x58 - 2*x55*x59
        - 0.887203867225*b21 - 0.887203867225*b37 =G= -0.887203867225;

e167.. sqr(x56) + sqr(x57) + sqr(x58) + sqr(x59) - 2*x56*x58 - 2*x57*x59
        - 0.469370231236*b29 - 0.469370231236*b37 =G= -0.469370231236;

e168.. sqr(x58) + sqr(x59) + sqr(x60) + sqr(x61) - 2*x58*x60 - 2*x59*x61
        - 1.436936830729*b37 - 1.436936830729*b41 =G= -1.436936830729;

e169.. sqr(x58) + sqr(x59) + sqr(x62) + sqr(x63) - 2*x58*x62 - 2*x59*x63
        - 1.436936830729*b37 - 1.436936830729*b45 =G= -1.436936830729;

e170.. sqr(x52) + sqr(x53) + sqr(x60) + sqr(x61) - 2*x52*x60 - 2*x53*x61
        - 2.118573403024*b15 - 2.118573403024*b41 =G= -2.118573403024;

e171.. sqr(x54) + sqr(x55) + sqr(x60) + sqr(x61) - 2*x54*x60 - 2*x55*x61
        - 2.118573403024*b21 - 2.118573403024*b41 =G= -2.118573403024;

e172.. sqr(x56) + sqr(x57) + sqr(x60) + sqr(x61) - 2*x56*x60 - 2*x57*x61
        - 1.436936830729*b29 - 1.436936830729*b41 =G= -1.436936830729;

e173.. sqr(x58) + sqr(x59) + sqr(x60) + sqr(x61) - 2*x58*x60 - 2*x59*x61
        - 1.436936830729*b37 - 1.436936830729*b41 =G= -1.436936830729;

e174.. sqr(x60) + sqr(x61) + sqr(x62) + sqr(x63) - 2*x61*x63 - 2*x60*x62
        - 2.9321082756*b41 - 2.9321082756*b45 =G= -2.9321082756;

e175.. sqr(x52) + sqr(x53) + sqr(x62) + sqr(x63) - 2*x52*x62 - 2*x53*x63
        - 2.118573403024*b15 - 2.118573403024*b45 =G= -2.118573403024;

e176.. sqr(x54) + sqr(x55) + sqr(x62) + sqr(x63) - 2*x55*x63 - 2*x54*x62
        - 2.118573403024*b21 - 2.118573403024*b45 =G= -2.118573403024;

e177.. sqr(x56) + sqr(x57) + sqr(x62) + sqr(x63) - 2*x57*x63 - 2*x56*x62
        - 1.436936830729*b29 - 1.436936830729*b45 =G= -1.436936830729;

e178.. sqr(x58) + sqr(x59) + sqr(x62) + sqr(x63) - 2*x58*x62 - 2*x59*x63
        - 1.436936830729*b37 - 1.436936830729*b45 =G= -1.436936830729;

e179.. sqr(x60) + sqr(x61) + sqr(x62) + sqr(x63) - 2*x61*x63 - 2*x60*x62
        - 2.9321082756*b41 - 2.9321082756*b45 =G= -2.9321082756;

e180.. sqr(x52) + sqr(x53) + sqr(x54) + sqr(x55) - 2*x52*x54 - 2*x53*x55
        - 1.436939228176*b16 - 1.436939228176*b22 =G= -1.436939228176;

e181.. sqr(x52) + sqr(x53) + sqr(x56) + sqr(x57) - 2*x52*x56 - 2*x53*x57
        - 0.887203867225*b16 - 0.887203867225*b30 =G= -0.887203867225;

e182.. sqr(x52) + sqr(x53) + sqr(x58) + sqr(x59) - 2*x52*x58 - 2*x53*x59
        - 0.887203867225*b16 - 0.887203867225*b38 =G= -0.887203867225;

e183.. sqr(x52) + sqr(x53) + sqr(x60) + sqr(x61) - 2*x52*x60 - 2*x53*x61
        - 2.118573403024*b16 - 2.118573403024*b42 =G= -2.118573403024;

e184.. sqr(x52) + sqr(x53) + sqr(x62) + sqr(x63) - 2*x52*x62 - 2*x53*x63
        - 2.118573403024*b16 - 2.118573403024*b46 =G= -2.118573403024;

e185.. sqr(x52) + sqr(x53) + sqr(x64) + sqr(x65) - 2*x53*x65 - 2*x52*x64
        - 4.509770398884*b16 - 4.509770398884*b48 =G= -4.509770398884;

e186.. sqr(x52) + sqr(x53) + sqr(x66) + sqr(x67) - 2*x53*x67 - 2*x52*x66
        - 4.509770398884*b16 - 4.509770398884*b50 =G= -4.509770398884;

e187.. sqr(x52) + sqr(x53) + sqr(x54) + sqr(x55) - 2*x52*x54 - 2*x53*x55
        - 1.436939228176*b16 - 1.436939228176*b22 =G= -1.436939228176;

e188.. sqr(x54) + sqr(x55) + sqr(x56) + sqr(x57) - 2*x54*x56 - 2*x55*x57
        - 0.887203867225*b22 - 0.887203867225*b30 =G= -0.887203867225;

e189.. sqr(x54) + sqr(x55) + sqr(x58) + sqr(x59) - 2*x54*x58 - 2*x55*x59
        - 0.887203867225*b22 - 0.887203867225*b38 =G= -0.887203867225;

e190.. sqr(x54) + sqr(x55) + sqr(x60) + sqr(x61) - 2*x54*x60 - 2*x55*x61
        - 2.118573403024*b22 - 2.118573403024*b42 =G= -2.118573403024;

e191.. sqr(x54) + sqr(x55) + sqr(x62) + sqr(x63) - 2*x55*x63 - 2*x54*x62
        - 2.118573403024*b22 - 2.118573403024*b46 =G= -2.118573403024;

e192.. sqr(x54) + sqr(x55) + sqr(x64) + sqr(x65) - 2*x55*x65 - 2*x54*x64
        - 4.509770398884*b22 - 4.509770398884*b48 =G= -4.509770398884;

e193.. sqr(x54) + sqr(x55) + sqr(x66) + sqr(x67) - 2*x54*x66 - 2*x55*x67
        - 4.509770398884*b22 - 4.509770398884*b50 =G= -4.509770398884;

e194.. sqr(x52) + sqr(x53) + sqr(x56) + sqr(x57) - 2*x52*x56 - 2*x53*x57
        - 0.887203867225*b16 - 0.887203867225*b30 =G= -0.887203867225;

e195.. sqr(x54) + sqr(x55) + sqr(x56) + sqr(x57) - 2*x54*x56 - 2*x55*x57
        - 0.887203867225*b22 - 0.887203867225*b30 =G= -0.887203867225;

e196.. sqr(x56) + sqr(x57) + sqr(x58) + sqr(x59) - 2*x56*x58 - 2*x57*x59
        - 0.469370231236*b30 - 0.469370231236*b38 =G= -0.469370231236;

e197.. sqr(x56) + sqr(x57) + sqr(x60) + sqr(x61) - 2*x56*x60 - 2*x57*x61
        - 1.436936830729*b30 - 1.436936830729*b42 =G= -1.436936830729;

e198.. sqr(x56) + sqr(x57) + sqr(x62) + sqr(x63) - 2*x57*x63 - 2*x56*x62
        - 1.436936830729*b30 - 1.436936830729*b46 =G= -1.436936830729;

e199.. sqr(x56) + sqr(x57) + sqr(x64) + sqr(x65) - 2*x56*x64 - 2*x57*x65
        - 3.484990776969*b30 - 3.484990776969*b48 =G= -3.484990776969;

e200.. sqr(x56) + sqr(x57) + sqr(x66) + sqr(x67) - 2*x56*x66 - 2*x57*x67
        - 3.484990776969*b30 - 3.484990776969*b50 =G= -3.484990776969;

e201.. sqr(x52) + sqr(x53) + sqr(x58) + sqr(x59) - 2*x52*x58 - 2*x53*x59
        - 0.887203867225*b16 - 0.887203867225*b38 =G= -0.887203867225;

e202.. sqr(x54) + sqr(x55) + sqr(x58) + sqr(x59) - 2*x54*x58 - 2*x55*x59
        - 0.887203867225*b22 - 0.887203867225*b38 =G= -0.887203867225;

e203.. sqr(x56) + sqr(x57) + sqr(x58) + sqr(x59) - 2*x56*x58 - 2*x57*x59
        - 0.469370231236*b30 - 0.469370231236*b38 =G= -0.469370231236;

e204.. sqr(x58) + sqr(x59) + sqr(x60) + sqr(x61) - 2*x58*x60 - 2*x59*x61
        - 1.436936830729*b38 - 1.436936830729*b42 =G= -1.436936830729;

e205.. sqr(x58) + sqr(x59) + sqr(x62) + sqr(x63) - 2*x58*x62 - 2*x59*x63
        - 1.436936830729*b38 - 1.436936830729*b46 =G= -1.436936830729;

e206.. sqr(x58) + sqr(x59) + sqr(x64) + sqr(x65) - 2*x59*x65 - 2*x58*x64
        - 3.484990776969*b38 - 3.484990776969*b48 =G= -3.484990776969;

e207.. sqr(x58) + sqr(x59) + sqr(x66) + sqr(x67) - 2*x59*x67 - 2*x58*x66
        - 3.484990776969*b38 - 3.484990776969*b50 =G= -3.484990776969;

e208.. sqr(x52) + sqr(x53) + sqr(x60) + sqr(x61) - 2*x52*x60 - 2*x53*x61
        - 2.118573403024*b16 - 2.118573403024*b42 =G= -2.118573403024;

e209.. sqr(x54) + sqr(x55) + sqr(x60) + sqr(x61) - 2*x54*x60 - 2*x55*x61
        - 2.118573403024*b22 - 2.118573403024*b42 =G= -2.118573403024;

e210.. sqr(x56) + sqr(x57) + sqr(x60) + sqr(x61) - 2*x56*x60 - 2*x57*x61
        - 1.436936830729*b30 - 1.436936830729*b42 =G= -1.436936830729;

e211.. sqr(x58) + sqr(x59) + sqr(x60) + sqr(x61) - 2*x58*x60 - 2*x59*x61
        - 1.436936830729*b38 - 1.436936830729*b42 =G= -1.436936830729;

e212.. sqr(x60) + sqr(x61) + sqr(x62) + sqr(x63) - 2*x61*x63 - 2*x60*x62
        - 2.9321082756*b42 - 2.9321082756*b46 =G= -2.9321082756;

e213.. sqr(x60) + sqr(x61) + sqr(x64) + sqr(x65) - 2*x61*x65 - 2*x60*x64
        - 5.6664469849*b42 - 5.6664469849*b48 =G= -5.6664469849;

e214.. sqr(x60) + sqr(x61) + sqr(x66) + sqr(x67) - 2*x60*x66 - 2*x61*x67
        - 5.6664469849*b42 - 5.6664469849*b50 =G= -5.6664469849;

e215.. sqr(x52) + sqr(x53) + sqr(x62) + sqr(x63) - 2*x52*x62 - 2*x53*x63
        - 2.118573403024*b16 - 2.118573403024*b46 =G= -2.118573403024;

e216.. sqr(x54) + sqr(x55) + sqr(x62) + sqr(x63) - 2*x55*x63 - 2*x54*x62
        - 2.118573403024*b22 - 2.118573403024*b46 =G= -2.118573403024;

e217.. sqr(x56) + sqr(x57) + sqr(x62) + sqr(x63) - 2*x56*x62 - 2*x57*x63
        - 1.436936830729*b30 - 1.436936830729*b46 =G= -1.436936830729;

e218.. sqr(x58) + sqr(x59) + sqr(x62) + sqr(x63) - 2*x58*x62 - 2*x59*x63
        - 1.436936830729*b38 - 1.436936830729*b46 =G= -1.436936830729;

e219.. sqr(x60) + sqr(x61) + sqr(x62) + sqr(x63) - 2*x61*x63 - 2*x60*x62
        - 2.9321082756*b42 - 2.9321082756*b46 =G= -2.9321082756;

e220.. sqr(x62) + sqr(x63) + sqr(x64) + sqr(x65) - 2*x62*x64 - 2*x63*x65
        - 5.6664469849*b46 - 5.6664469849*b48 =G= -5.6664469849;

e221.. sqr(x62) + sqr(x63) + sqr(x66) + sqr(x67) - 2*x62*x66 - 2*x63*x67
        - 5.6664469849*b46 - 5.6664469849*b50 =G= -5.6664469849;

e222.. sqr(x52) + sqr(x53) + sqr(x64) + sqr(x65) - 2*x53*x65 - 2*x52*x64
        - 4.509770398884*b16 - 4.509770398884*b48 =G= -4.509770398884;

e223.. sqr(x54) + sqr(x55) + sqr(x64) + sqr(x65) - 2*x55*x65 - 2*x54*x64
        - 4.509770398884*b22 - 4.509770398884*b48 =G= -4.509770398884;

e224.. sqr(x56) + sqr(x57) + sqr(x64) + sqr(x65) - 2*x56*x64 - 2*x57*x65
        - 3.484990776969*b30 - 3.484990776969*b48 =G= -3.484990776969;

e225.. sqr(x58) + sqr(x59) + sqr(x64) + sqr(x65) - 2*x59*x65 - 2*x58*x64
        - 3.484990776969*b38 - 3.484990776969*b48 =G= -3.484990776969;

e226.. sqr(x60) + sqr(x61) + sqr(x64) + sqr(x65) - 2*x61*x65 - 2*x60*x64
        - 5.6664469849*b42 - 5.6664469849*b48 =G= -5.6664469849;

e227.. sqr(x62) + sqr(x63) + sqr(x64) + sqr(x65) - 2*x62*x64 - 2*x63*x65
        - 5.6664469849*b46 - 5.6664469849*b48 =G= -5.6664469849;

e228.. sqr(x64) + sqr(x65) + sqr(x66) + sqr(x67) - 2*x64*x66 - 2*x65*x67
        - 9.2934741904*b48 - 9.2934741904*b50 =G= -9.2934741904;

e229.. sqr(x52) + sqr(x53) + sqr(x66) + sqr(x67) - 2*x53*x67 - 2*x52*x66
        - 4.509770398884*b16 - 4.509770398884*b50 =G= -4.509770398884;

e230.. sqr(x54) + sqr(x55) + sqr(x66) + sqr(x67) - 2*x54*x66 - 2*x55*x67
        - 4.509770398884*b22 - 4.509770398884*b50 =G= -4.509770398884;

e231.. sqr(x56) + sqr(x57) + sqr(x66) + sqr(x67) - 2*x57*x67 - 2*x56*x66
        - 3.484990776969*b30 - 3.484990776969*b50 =G= -3.484990776969;

e232.. sqr(x58) + sqr(x59) + sqr(x66) + sqr(x67) - 2*x59*x67 - 2*x58*x66
        - 3.484990776969*b38 - 3.484990776969*b50 =G= -3.484990776969;

e233.. sqr(x60) + sqr(x61) + sqr(x66) + sqr(x67) - 2*x60*x66 - 2*x61*x67
        - 5.6664469849*b42 - 5.6664469849*b50 =G= -5.6664469849;

e234.. sqr(x62) + sqr(x63) + sqr(x66) + sqr(x67) - 2*x62*x66 - 2*x63*x67
        - 5.6664469849*b46 - 5.6664469849*b50 =G= -5.6664469849;

e235.. sqr(x64) + sqr(x65) + sqr(x66) + sqr(x67) - 2*x64*x66 - 2*x65*x67
        - 9.2934741904*b48 - 9.2934741904*b50 =G= -9.2934741904;

e236.. sqr(x52) + sqr(x53) + sqr(x54) + sqr(x55) - 2*x52*x54 - 2*x53*x55
        - 1.436939228176*b17 - 1.436939228176*b23 =G= -1.436939228176;

e237.. sqr(x52) + sqr(x53) + sqr(x56) + sqr(x57) - 2*x52*x56 - 2*x53*x57
        - 0.887203867225*b17 - 0.887203867225*b31 =G= -0.887203867225;

e238.. sqr(x52) + sqr(x53) + sqr(x58) + sqr(x59) - 2*x52*x58 - 2*x53*x59
        - 0.887203867225*b17 - 0.887203867225*b39 =G= -0.887203867225;

e239.. sqr(x52) + sqr(x53) + sqr(x60) + sqr(x61) - 2*x52*x60 - 2*x53*x61
        - 2.118573403024*b17 - 2.118573403024*b43 =G= -2.118573403024;

e240.. sqr(x52) + sqr(x53) + sqr(x62) + sqr(x63) - 2*x52*x62 - 2*x53*x63
        - 2.118573403024*b17 - 2.118573403024*b47 =G= -2.118573403024;

e241.. sqr(x52) + sqr(x53) + sqr(x64) + sqr(x65) - 2*x53*x65 - 2*x52*x64
        - 4.509770398884*b17 - 4.509770398884*b49 =G= -4.509770398884;

e242.. sqr(x52) + sqr(x53) + sqr(x66) + sqr(x67) - 2*x53*x67 - 2*x52*x66
        - 4.509770398884*b17 - 4.509770398884*b51 =G= -4.509770398884;

e243.. sqr(x52) + sqr(x53) + sqr(x54) + sqr(x55) - 2*x52*x54 - 2*x53*x55
        - 1.436939228176*b17 - 1.436939228176*b23 =G= -1.436939228176;

e244.. sqr(x54) + sqr(x55) + sqr(x56) + sqr(x57) - 2*x54*x56 - 2*x55*x57
        - 0.887203867225*b23 - 0.887203867225*b31 =G= -0.887203867225;

e245.. sqr(x54) + sqr(x55) + sqr(x58) + sqr(x59) - 2*x54*x58 - 2*x55*x59
        - 0.887203867225*b23 - 0.887203867225*b39 =G= -0.887203867225;

e246.. sqr(x54) + sqr(x55) + sqr(x60) + sqr(x61) - 2*x54*x60 - 2*x55*x61
        - 2.118573403024*b23 - 2.118573403024*b43 =G= -2.118573403024;

e247.. sqr(x54) + sqr(x55) + sqr(x62) + sqr(x63) - 2*x55*x63 - 2*x54*x62
        - 2.118573403024*b23 - 2.118573403024*b47 =G= -2.118573403024;

e248.. sqr(x54) + sqr(x55) + sqr(x64) + sqr(x65) - 2*x55*x65 - 2*x54*x64
        - 4.509770398884*b23 - 4.509770398884*b49 =G= -4.509770398884;

e249.. sqr(x54) + sqr(x55) + sqr(x66) + sqr(x67) - 2*x54*x66 - 2*x55*x67
        - 4.509770398884*b23 - 4.509770398884*b51 =G= -4.509770398884;

e250.. sqr(x52) + sqr(x53) + sqr(x56) + sqr(x57) - 2*x52*x56 - 2*x53*x57
        - 0.887203867225*b17 - 0.887203867225*b31 =G= -0.887203867225;

e251.. sqr(x54) + sqr(x55) + sqr(x56) + sqr(x57) - 2*x54*x56 - 2*x55*x57
        - 0.887203867225*b23 - 0.887203867225*b31 =G= -0.887203867225;

e252.. sqr(x56) + sqr(x57) + sqr(x58) + sqr(x59) - 2*x56*x58 - 2*x57*x59
        - 0.469370231236*b31 - 0.469370231236*b39 =G= -0.469370231236;

e253.. sqr(x56) + sqr(x57) + sqr(x60) + sqr(x61) - 2*x56*x60 - 2*x57*x61
        - 1.436936830729*b31 - 1.436936830729*b43 =G= -1.436936830729;

e254.. sqr(x56) + sqr(x57) + sqr(x62) + sqr(x63) - 2*x57*x63 - 2*x56*x62
        - 1.436936830729*b31 - 1.436936830729*b47 =G= -1.436936830729;

e255.. sqr(x56) + sqr(x57) + sqr(x64) + sqr(x65) - 2*x56*x64 - 2*x57*x65
        - 3.484990776969*b31 - 3.484990776969*b49 =G= -3.484990776969;

e256.. sqr(x56) + sqr(x57) + sqr(x66) + sqr(x67) - 2*x57*x67 - 2*x56*x66
        - 3.484990776969*b31 - 3.484990776969*b51 =G= -3.484990776969;

e257.. sqr(x52) + sqr(x53) + sqr(x58) + sqr(x59) - 2*x52*x58 - 2*x53*x59
        - 0.887203867225*b17 - 0.887203867225*b39 =G= -0.887203867225;

e258.. sqr(x54) + sqr(x55) + sqr(x58) + sqr(x59) - 2*x54*x58 - 2*x55*x59
        - 0.887203867225*b23 - 0.887203867225*b39 =G= -0.887203867225;

e259.. sqr(x56) + sqr(x57) + sqr(x58) + sqr(x59) - 2*x56*x58 - 2*x57*x59
        - 0.469370231236*b31 - 0.469370231236*b39 =G= -0.469370231236;

e260.. sqr(x58) + sqr(x59) + sqr(x60) + sqr(x61) - 2*x58*x60 - 2*x59*x61
        - 1.436936830729*b39 - 1.436936830729*b43 =G= -1.436936830729;

e261.. sqr(x58) + sqr(x59) + sqr(x62) + sqr(x63) - 2*x58*x62 - 2*x59*x63
        - 1.436936830729*b39 - 1.436936830729*b47 =G= -1.436936830729;

e262.. sqr(x58) + sqr(x59) + sqr(x64) + sqr(x65) - 2*x59*x65 - 2*x58*x64
        - 3.484990776969*b39 - 3.484990776969*b49 =G= -3.484990776969;

e263.. sqr(x58) + sqr(x59) + sqr(x66) + sqr(x67) - 2*x59*x67 - 2*x58*x66
        - 3.484990776969*b39 - 3.484990776969*b51 =G= -3.484990776969;

e264.. sqr(x52) + sqr(x53) + sqr(x60) + sqr(x61) - 2*x52*x60 - 2*x53*x61
        - 2.118573403024*b17 - 2.118573403024*b43 =G= -2.118573403024;

e265.. sqr(x54) + sqr(x55) + sqr(x60) + sqr(x61) - 2*x54*x60 - 2*x55*x61
        - 2.118573403024*b23 - 2.118573403024*b43 =G= -2.118573403024;

e266.. sqr(x56) + sqr(x57) + sqr(x60) + sqr(x61) - 2*x56*x60 - 2*x57*x61
        - 1.436936830729*b31 - 1.436936830729*b43 =G= -1.436936830729;

e267.. sqr(x58) + sqr(x59) + sqr(x60) + sqr(x61) - 2*x58*x60 - 2*x59*x61
        - 1.436936830729*b39 - 1.436936830729*b43 =G= -1.436936830729;

e268.. sqr(x60) + sqr(x61) + sqr(x62) + sqr(x63) - 2*x61*x63 - 2*x60*x62
        - 2.9321082756*b43 - 2.9321082756*b47 =G= -2.9321082756;

e269.. sqr(x60) + sqr(x61) + sqr(x64) + sqr(x65) - 2*x61*x65 - 2*x60*x64
        - 5.6664469849*b43 - 5.6664469849*b49 =G= -5.6664469849;

e270.. sqr(x60) + sqr(x61) + sqr(x66) + sqr(x67) - 2*x60*x66 - 2*x61*x67
        - 5.6664469849*b43 - 5.6664469849*b51 =G= -5.6664469849;

e271.. sqr(x52) + sqr(x53) + sqr(x62) + sqr(x63) - 2*x52*x62 - 2*x53*x63
        - 2.118573403024*b17 - 2.118573403024*b47 =G= -2.118573403024;

e272.. sqr(x54) + sqr(x55) + sqr(x62) + sqr(x63) - 2*x55*x63 - 2*x54*x62
        - 2.118573403024*b23 - 2.118573403024*b47 =G= -2.118573403024;

e273.. sqr(x56) + sqr(x57) + sqr(x62) + sqr(x63) - 2*x57*x63 - 2*x56*x62
        - 1.436936830729*b31 - 1.436936830729*b47 =G= -1.436936830729;

e274.. sqr(x58) + sqr(x59) + sqr(x62) + sqr(x63) - 2*x58*x62 - 2*x59*x63
        - 1.436936830729*b39 - 1.436936830729*b47 =G= -1.436936830729;

e275.. sqr(x60) + sqr(x61) + sqr(x62) + sqr(x63) - 2*x61*x63 - 2*x60*x62
        - 2.9321082756*b43 - 2.9321082756*b47 =G= -2.9321082756;

e276.. sqr(x62) + sqr(x63) + sqr(x64) + sqr(x65) - 2*x62*x64 - 2*x63*x65
        - 5.6664469849*b47 - 5.6664469849*b49 =G= -5.6664469849;

e277.. sqr(x62) + sqr(x63) + sqr(x66) + sqr(x67) - 2*x62*x66 - 2*x63*x67
        - 5.6664469849*b47 - 5.6664469849*b51 =G= -5.6664469849;

e278.. sqr(x52) + sqr(x53) + sqr(x64) + sqr(x65) - 2*x53*x65 - 2*x52*x64
        - 4.509770398884*b17 - 4.509770398884*b49 =G= -4.509770398884;

e279.. sqr(x54) + sqr(x55) + sqr(x64) + sqr(x65) - 2*x55*x65 - 2*x54*x64
        - 4.509770398884*b23 - 4.509770398884*b49 =G= -4.509770398884;

e280.. sqr(x56) + sqr(x57) + sqr(x64) + sqr(x65) - 2*x56*x64 - 2*x57*x65
        - 3.484990776969*b31 - 3.484990776969*b49 =G= -3.484990776969;

e281.. sqr(x58) + sqr(x59) + sqr(x64) + sqr(x65) - 2*x59*x65 - 2*x58*x64
        - 3.484990776969*b39 - 3.484990776969*b49 =G= -3.484990776969;

e282.. sqr(x60) + sqr(x61) + sqr(x64) + sqr(x65) - 2*x61*x65 - 2*x60*x64
        - 5.6664469849*b43 - 5.6664469849*b49 =G= -5.6664469849;

e283.. sqr(x62) + sqr(x63) + sqr(x64) + sqr(x65) - 2*x62*x64 - 2*x63*x65
        - 5.6664469849*b47 - 5.6664469849*b49 =G= -5.6664469849;

e284.. sqr(x64) + sqr(x65) + sqr(x66) + sqr(x67) - 2*x64*x66 - 2*x65*x67
        - 9.2934741904*b49 - 9.2934741904*b51 =G= -9.2934741904;

e285.. sqr(x52) + sqr(x53) + sqr(x66) + sqr(x67) - 2*x53*x67 - 2*x52*x66
        - 4.509770398884*b17 - 4.509770398884*b51 =G= -4.509770398884;

e286.. sqr(x54) + sqr(x55) + sqr(x66) + sqr(x67) - 2*x54*x66 - 2*x55*x67
        - 4.509770398884*b23 - 4.509770398884*b51 =G= -4.509770398884;

e287.. sqr(x56) + sqr(x57) + sqr(x66) + sqr(x67) - 2*x57*x67 - 2*x56*x66
        - 3.484990776969*b31 - 3.484990776969*b51 =G= -3.484990776969;

e288.. sqr(x58) + sqr(x59) + sqr(x66) + sqr(x67) - 2*x59*x67 - 2*x58*x66
        - 3.484990776969*b39 - 3.484990776969*b51 =G= -3.484990776969;

e289.. sqr(x60) + sqr(x61) + sqr(x66) + sqr(x67) - 2*x60*x66 - 2*x61*x67
        - 5.6664469849*b43 - 5.6664469849*b51 =G= -5.6664469849;

e290.. sqr(x62) + sqr(x63) + sqr(x66) + sqr(x67) - 2*x62*x66 - 2*x63*x67
        - 5.6664469849*b47 - 5.6664469849*b51 =G= -5.6664469849;

e291.. sqr(x64) + sqr(x65) + sqr(x66) + sqr(x67) - 2*x64*x66 - 2*x65*x67
        - 9.2934741904*b49 - 9.2934741904*b51 =G= -9.2934741904;

e292.. sqr(x52) + sqr(x53) + sqr(x60) + sqr(x61) - 2*x52*x60 - 2*x53*x61
        + 146.015866806048*b12 =L= 146.035526210992;

e293.. sqr(x52) + sqr(x53) + sqr(x62) + sqr(x63) - 2*x52*x62 - 2*x53*x63
        + 146.015866806048*b13 =L= 146.035526210992;

e294.. sqr(x52) + sqr(x53) + sqr(x64) + sqr(x65) - 2*x52*x64 - 2*x53*x65
        + 124.074660797768*b14 =L= 124.688044241112;

e295.. sqr(x52) + sqr(x53) + sqr(x66) + sqr(x67) - 2*x52*x66 - 2*x53*x67
        + 124.074660797768*b15 =L= 124.688044241112;

e296.. sqr(x52) + sqr(x53) + sqr(x68) + sqr(x69) - 2*x52*x68 - 2*x53*x69
        + 111.557223492128*b16 =L= 112.885590384432;

e297.. sqr(x52) + sqr(x53) + sqr(x70) + sqr(x71) - 2*x52*x70 - 2*x53*x71
        + 111.557223492128*b17 =L= 112.885590384432;

e298.. sqr(x54) + sqr(x55) + sqr(x60) + sqr(x61) - 2*x54*x60 - 2*x55*x61
        + 146.015866806048*b18 =L= 146.035526210992;

e299.. sqr(x54) + sqr(x55) + sqr(x62) + sqr(x63) - 2*x54*x62 - 2*x55*x63
        + 146.015866806048*b19 =L= 146.035526210992;

e300.. sqr(x54) + sqr(x55) + sqr(x64) + sqr(x65) - 2*x54*x64 - 2*x55*x65
        + 124.074660797768*b20 =L= 124.688044241112;

e301.. sqr(x54) + sqr(x55) + sqr(x66) + sqr(x67) - 2*x54*x66 - 2*x55*x67
        + 124.074660797768*b21 =L= 124.688044241112;

e302.. sqr(x54) + sqr(x55) + sqr(x68) + sqr(x69) - 2*x54*x68 - 2*x55*x69
        + 111.557223492128*b22 =L= 112.885590384432;

e303.. sqr(x54) + sqr(x55) + sqr(x70) + sqr(x71) - 2*x54*x70 - 2*x55*x71
        + 111.557223492128*b23 =L= 112.885590384432;

e304.. sqr(x52) + sqr(x53) + sqr(x56) + sqr(x57) - 2*x52*x56 - 2*x53*x57
        + 164.09780773445*b24 =L= 164.128395645686;

e305.. sqr(x54) + sqr(x55) + sqr(x56) + sqr(x57) - 2*x54*x56 - 2*x55*x57
        + 164.09780773445*b25 =L= 164.128395645686;

e306.. sqr(x56) + sqr(x57) + sqr(x60) + sqr(x61) - 2*x56*x60 - 2*x57*x61
        + 154.924953661458*b26 =L= 155.082579335899;

e307.. sqr(x56) + sqr(x57) + sqr(x62) + sqr(x63) - 2*x56*x62 - 2*x57*x63
        + 154.924953661458*b27 =L= 155.082579335899;

e308.. sqr(x56) + sqr(x57) + sqr(x64) + sqr(x65) - 2*x56*x64 - 2*x57*x65
        + 132.297461553938*b28 =L= 133.379055313947;

e309.. sqr(x56) + sqr(x57) + sqr(x66) + sqr(x67) - 2*x56*x66 - 2*x57*x67
        + 132.297461553938*b29 =L= 133.379055313947;

e310.. sqr(x56) + sqr(x57) + sqr(x68) + sqr(x69) - 2*x56*x68 - 2*x57*x69
        + 119.361045500978*b30 =L= 121.347332654427;

e311.. sqr(x56) + sqr(x57) + sqr(x70) + sqr(x71) - 2*x56*x70 - 2*x57*x71
        + 119.361045500978*b31 =L= 121.347332654427;

e312.. sqr(x52) + sqr(x53) + sqr(x58) + sqr(x59) - 2*x52*x58 - 2*x53*x59
        + 164.09780773445*b32 =L= 164.128395645686;

e313.. sqr(x54) + sqr(x55) + sqr(x58) + sqr(x59) - 2*x54*x58 - 2*x55*x59
        + 164.09780773445*b33 =L= 164.128395645686;

e314.. sqr(x58) + sqr(x59) + sqr(x60) + sqr(x61) - 2*x58*x60 - 2*x59*x61
        + 154.924953661458*b34 =L= 155.082579335899;

e315.. sqr(x58) + sqr(x59) + sqr(x62) + sqr(x63) - 2*x58*x62 - 2*x59*x63
        + 154.924953661458*b35 =L= 155.082579335899;

e316.. sqr(x58) + sqr(x59) + sqr(x64) + sqr(x65) - 2*x58*x64 - 2*x59*x65
        + 132.297461553938*b36 =L= 133.379055313947;

e317.. sqr(x58) + sqr(x59) + sqr(x66) + sqr(x67) - 2*x58*x66 - 2*x59*x67
        + 132.297461553938*b37 =L= 133.379055313947;

e318.. sqr(x58) + sqr(x59) + sqr(x68) + sqr(x69) - 2*x58*x68 - 2*x59*x69
        + 119.361045500978*b38 =L= 121.347332654427;

e319.. sqr(x58) + sqr(x59) + sqr(x70) + sqr(x71) - 2*x58*x70 - 2*x59*x71
        + 119.361045500978*b39 =L= 121.347332654427;

e320.. sqr(x60) + sqr(x61) + sqr(x64) + sqr(x65) - 2*x60*x64 - 2*x61*x65
        + 116.1156939698*b40 =L= 116.3927698742;

e321.. sqr(x60) + sqr(x61) + sqr(x66) + sqr(x67) - 2*x60*x66 - 2*x61*x67
        + 116.1156939698*b41 =L= 116.3927698742;

e322.. sqr(x60) + sqr(x61) + sqr(x68) + sqr(x69) - 2*x60*x68 - 2*x61*x69
        + 104.01723378*b42 =L= 104.8195839276;

e323.. sqr(x60) + sqr(x61) + sqr(x70) + sqr(x71) - 2*x60*x70 - 2*x61*x71
        + 104.01723378*b43 =L= 104.8195839276;

e324.. sqr(x62) + sqr(x63) + sqr(x64) + sqr(x65) - 2*x62*x64 - 2*x63*x65
        + 116.1156939698*b44 =L= 116.3927698742;

e325.. sqr(x62) + sqr(x63) + sqr(x66) + sqr(x67) - 2*x62*x66 - 2*x63*x67
        + 116.1156939698*b45 =L= 116.3927698742;

e326.. sqr(x62) + sqr(x63) + sqr(x68) + sqr(x69) - 2*x62*x68 - 2*x63*x69
        + 104.01723378*b46 =L= 104.8195839276;

e327.. sqr(x62) + sqr(x63) + sqr(x70) + sqr(x71) - 2*x62*x70 - 2*x63*x71
        + 104.01723378*b47 =L= 104.8195839276;

e328.. sqr(x64) + sqr(x65) + sqr(x68) + sqr(x69) - 2*x64*x68 - 2*x65*x69
        + 85.6376636642*b48 =L= 85.6894881867;

e329.. sqr(x64) + sqr(x65) + sqr(x70) + sqr(x71) - 2*x64*x70 - 2*x65*x71
        + 85.6376636642*b49 =L= 85.6894881867;

e330.. sqr(x66) + sqr(x67) + sqr(x68) + sqr(x69) - 2*x66*x68 - 2*x67*x69
        + 85.6376636642*b50 =L= 85.6894881867;

e331.. sqr(x66) + sqr(x67) + sqr(x70) + sqr(x71) - 2*x66*x70 - 2*x67*x71
        + 85.6376636642*b51 =L= 85.6894881867;

e332..    b2 + b12 + b13 + b14 + b15 + b16 + b17 =L= 1;

e333..    b3 + b18 + b19 + b20 + b21 + b22 + b23 =L= 1;

e334..    b4 + b24 + b25 + b26 + b27 + b28 + b29 + b30 + b31 =L= 1;

e335..    b5 + b32 + b33 + b34 + b35 + b36 + b37 + b38 + b39 =L= 1;

e336..    b6 + b40 + b41 + b42 + b43 =L= 1;

e337..    b7 + b44 + b45 + b46 + b47 =L= 1;

e338..    b8 + b48 + b49 =L= 1;

e339..    b9 + b50 + b51 =L= 1;

e340..    b10 =L= 1;

e341..    b11 =L= 1;

e342..  - b6 + b12 =L= 0;

e343..  - b7 + b13 =L= 0;

e344..  - b8 + b14 =L= 0;

e345..  - b9 + b15 =L= 0;

e346..  - b10 + b16 =L= 0;

e347..  - b11 + b17 =L= 0;

e348..  - b6 + b18 =L= 0;

e349..  - b7 + b19 =L= 0;

e350..  - b8 + b20 =L= 0;

e351..  - b9 + b21 =L= 0;

e352..  - b10 + b22 =L= 0;

e353..  - b11 + b23 =L= 0;

e354..  - b2 + b24 =L= 0;

e355..  - b3 + b25 =L= 0;

e356..  - b6 + b26 =L= 0;

e357..  - b7 + b27 =L= 0;

e358..  - b8 + b28 =L= 0;

e359..  - b9 + b29 =L= 0;

e360..  - b10 + b30 =L= 0;

e361..  - b11 + b31 =L= 0;

e362..  - b2 + b32 =L= 0;

e363..  - b3 + b33 =L= 0;

e364..  - b6 + b34 =L= 0;

e365..  - b7 + b35 =L= 0;

e366..  - b8 + b36 =L= 0;

e367..  - b9 + b37 =L= 0;

e368..  - b10 + b38 =L= 0;

e369..  - b11 + b39 =L= 0;

e370..  - b8 + b40 =L= 0;

e371..  - b9 + b41 =L= 0;

e372..  - b10 + b42 =L= 0;

e373..  - b11 + b43 =L= 0;

e374..  - b8 + b44 =L= 0;

e375..  - b9 + b45 =L= 0;

e376..  - b10 + b46 =L= 0;

e377..  - b11 + b47 =L= 0;

e378..  - b10 + b48 =L= 0;

e379..  - b11 + b49 =L= 0;

e380..  - b10 + b50 =L= 0;

e381..  - b11 + b51 =L= 0;

e382..    x52 - x54 =L= 0;

e383..    x56 - x58 =L= 0;

e384..    x60 - x62 =L= 0;

e385..    x64 - x66 =L= 0;

e386..    x68 - x70 =L= 0;

* set non-default bounds
x52.lo = 0.599362; x52.up = 9.400638;
x53.lo = 0.599362; x53.up = 9.400638;
x54.lo = 0.599362; x54.up = 9.400638;
x55.lo = 0.599362; x55.up = 9.400638;
x56.lo = 0.342553; x56.up = 9.657447;
x57.lo = 0.342553; x57.up = 9.657447;
x58.lo = 0.342553; x58.up = 9.657447;
x59.lo = 0.342553; x59.up = 9.657447;
x60.lo = 0.85617; x60.up = 9.14383;
x61.lo = 0.85617; x61.up = 9.14383;
x62.lo = 0.85617; x62.up = 9.14383;
x63.lo = 0.85617; x63.up = 9.14383;
x64.lo = 1.52426; x64.up = 8.47574;
x65.lo = 1.52426; x65.up = 8.47574;
x66.lo = 1.52426; x66.up = 8.47574;
x67.lo = 1.52426; x67.up = 8.47574;
x68.lo = 1.93213; x68.up = 8.06787;
x69.lo = 1.93213; x69.up = 8.06787;
x70.lo = 1.93213; x70.up = 8.06787;
x71.lo = 1.93213; x71.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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