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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)ⓘ | |
| 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 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: 2024-04-02 Git hash: 1dd5fb9b