MINLPLib
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Removed Instance fdesign10
This model finds the filter weights for a finite impulse response (FIR) filter using the minimax linear phase lowpass filter design from Lobo et. al (Section 3.3).
| Formatsⓘ | ams gms lp mod nl osil pip py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 1.04648756 (ANTIGONE) 1.04648765 (BARON) 1.04648765 (COUENNE) 1.04648765 (LINDO) 1.04648765 (SCIP) |
| Referencesⓘ | Lobo, M S, Vandenberghe, L, Boyd, S, and Lebret, H, Applications of Second Order Cone Programming, Linear Algebra and its Applications, 284:1-3, 1998, 193-228. |
| Sourceⓘ | GAMS Model Library model fdesign for a filter of length 20 |
| Applicationⓘ | Linear Phase Lowpass Filter Design |
| Added to libraryⓘ | 18 Aug 2014 |
| Removed from libraryⓘ | 28 Feb 2022 |
| Removed becauseⓘ | Numerically too difficult for finite-precision solvers (coefficients of order 1e-16). |
| Problem typeⓘ | QCP |
| #Variablesⓘ | 15 |
| #Binary Variablesⓘ | 0 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 3 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 1 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 307 |
| #Linear Constraintsⓘ | 306 |
| #Quadratic Constraintsⓘ | 1 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 3231 |
| #Nonlinear Nonzeros in Jacobianⓘ | 3 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 3 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 3 |
| #Blocks in Hessian of Lagrangianⓘ | 3 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 1 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 1 |
| Average blocksize in Hessian of Lagrangianⓘ | 1.0 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 1.2246e-16 |
| Maximal coefficientⓘ | 2.0000e+00 |
| Infeasibility of initial pointⓘ | 4 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 307 2 1 304 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 15 15 0 0 0 0 0 0
* FX 1
*
* Nonzero counts
* Total const NL DLL
* 3231 3228 3 0
*
* Solve m using NLP minimizing objvar;
Variables x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,objvar,x12,x13,x14,x15;
Positive Variables x13,x14;
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;
e1.. 2*x1 + 2*x2 + 2*x3 + 2*x4 + 2*x5 + 2*x6 + 2*x7 + 2*x8 + 2*x9 + 2*x10
- objvar =L= 0;
e2.. 1.97257120307446*x1 + 1.97803172672383*x2 + 1.98288972274762*x3
+ 1.98714371135317*x4 + 1.99079239673436*x5 + 1.99383466746626*x6
+ 1.99626959684373*x7 + 1.99809644316372*x8 + 1.99931464995111*x9
+ 1.99992384612834*x10 - objvar =L= 0;
e3.. 1.89103715119863*x1 + 1.91260951192607*x2 + 1.93185165257814*x3
+ 1.94874012957047*x4 + 1.96325436689533*x5 + 1.97537668119028*x6
+ 1.98509230328264*x7 + 1.99238939618349*x8 + 1.99725906950915*x9
+ 1.99969539031278*x10 - objvar =L= 0;
e4.. 1.75763422532393*x1 + 1.80517056869972*x2 + 1.84775906502257*x3
+ 1.88528298218436*x4 + 1.91763946973639*x5 + 1.94473984079535*x6
+ 1.96650981512791*x7 + 1.98288972274762*x8 + 1.99383466746626*x9
+ 1.99931464995111*x10 - objvar =L= 0;
e5.. 1.57602150721344*x1 + 1.65807514511008*x2 + 1.73205080756888*x3
+ 1.79758809259833*x4 + 1.85436770913357*x5 + 1.90211303259031*x6
+ 1.94059145255199*x7 + 1.96961550602442*x8 + 1.98904379073655*x9
+ 1.99878165403819*x10 - objvar =L= 0;
e6.. 1.35118041523132*x1 + 1.47455467362025*x2 + 1.58670668058247*x3
+ 1.68678289162577*x4 + 1.77402166635644*x5 + 1.84775906502257*x6
+ 1.90743390149645*x7 + 1.95259201423987*x8 + 1.98288972274762*x9
+ 1.99809644316372*x10 - objvar =L= 0;
e7.. 1.08927807003005*x1 + 1.25864078209968*x2 + 1.41421356237309*x3
+ 1.55429192291394*x4 + 1.67734113589085*x5 + 1.78201304837674*x6
+ 1.8671608529944*x7 + 1.93185165257814*x8 + 1.97537668119028*x9
+ 1.99725906950915*x10 - objvar =L= 0;
e8.. 0.797498137850493*x1 + 1.01507672592141*x2 + 1.21752285801744*x3
+ 1.4018185285997*x4 + 1.56521631370483*x5 + 1.70528032870818*x6
+ 1.81992254175309*x7 + 1.90743390149645*x8 + 1.96650981512791*x9
+ 1.99626959684373*x10 - objvar =L= 0;
e9.. 0.483843791199335*x1 + 0.749213186831824*x2 + x3 + 1.23132295065132*x4
+ 1.4386796006773*x5 + 1.61803398874989*x6 + 1.76589518571785*x7
+ 1.87938524157182*x8 + 1.95629520146761*x9 + 1.99512810051965*x10
- objvar =L= 0;
e10.. 0.15691819145569*x1 + 0.466890727711811*x2 + 0.76536686473018*x3
+ 1.0449971294319*x4 + 1.29889609666037*x5 + 1.52081193120006*x6
+ 1.70528032870818*x7 + 1.84775906502257*x8 + 1.94473984079535*x9
+ 1.99383466746626*x10 - objvar =L= 0;
e11.. - 0.174311485495316*x1 + 0.174311485495317*x2 + 0.517638090205041*x3
+ 0.845236523481399*x4 + 1.14715287270209*x5 + 1.4142135623731*x6
+ 1.63830408857798*x7 + 1.8126155740733*x8 + 1.93185165257814*x9
+ 1.99238939618349*x10 - objvar =L= 0;
e12.. - 0.500760008108883*x1 - 0.122097079069714*x2 + 0.261052384440103*x3
+ 0.634609312810185*x4 + 0.984847120206934*x5 + 1.29889609666037*x6
+ 1.56521631370483*x7 + 1.77402166635644*x8 + 1.91763946973639*x9
+ 1.99079239673436*x10 - objvar =L= 0;
e13.. - 0.813473286151601*x1 - 0.415823381635519*x2 - 3.21624529935327E-16*x3
+ 0.415823381635518*x4 + 0.8134732861516*x5 + 1.17557050458495*x6
+ 1.48628965095479*x7 + 1.73205080756888*x8 + 1.90211303259031*x9
+ 1.98904379073655*x10 - objvar =L= 0;
e14.. - 1.10387397062412*x1 - 0.700414762518935*x2 - 0.261052384440103*x3
+ 0.191691505040448*x4 + 0.634609312810184*x5 + 1.0449971294319*x6
+ 1.4018185285997*x7 + 1.68678289162577*x8 + 1.88528298218436*x9
+ 1.98714371135317*x10 - objvar =L= 0;
e15.. - 1.363996720125*x1 - 0.969619240492674*x2 - 0.517638090205042*x3
- 0.034904812874567*x4 + 0.44990210868773*x5 + 0.907980999479094*x6
+ 1.31211805798101*x7 + 1.63830408857798*x8 + 1.8671608529944*x9
+ 1.98509230328264*x10 - objvar =L= 0;
e16.. - 1.58670668058247*x1 - 1.21752285801744*x2 - 0.765366864730179*x3
- 0.261052384440103*x4 + 0.261052384440103*x5 + 0.76536686473018*x6
+ 1.21752285801744*x7 + 1.58670668058247*x8 + 1.84775906502257*x9
+ 1.98288972274762*x10 - objvar =L= 0;
e17.. - 1.76589518571785*x1 - 1.4386796006773*x2 - x3 - 0.483843791199336*x4
+ 0.0697989934050022*x5 + 0.618033988749895*x6 + 1.11838580694149*x7
+ 1.53208888623796*x8 + 1.8270909152852*x9 + 1.98053613748314*x10
- objvar =L= 0;
e18.. - 1.8966473104124*x1 - 1.62823103671264*x2 - 1.21752285801744*x3
- 0.700414762518935*x4 - 0.122097079069714*x5 + 0.466890727711811*x6
+ 1.01507672592141*x7 + 1.47455467362025*x8 + 1.80517056869972*x9
+ 1.97803172672383*x10 - objvar =L= 0;
e19.. - 1.97537668119028*x1 - 1.78201304837674*x2 - 1.41421356237309*x3
- 0.907980999479093*x4 - 0.312868930080462*x5 + 0.312868930080462*x6
+ 0.907980999479094*x7 + 1.4142135623731*x8 + 1.78201304837674*x9
+ 1.97537668119028*x10 - objvar =L= 0;
e20.. - 1.99992384612834*x1 - 1.8966473104124*x2 - 1.58670668058247*x3
- 1.10387397062412*x4 - 0.500760008108883*x5 + 0.15691819145569*x6
+ 0.797498137850492*x7 + 1.35118041523132*x8 + 1.75763422532393*x9
+ 1.97257120307446*x10 - objvar =L= 0;
e21.. - 1.96961550602442*x1 - 1.96961550602442*x2 - 1.73205080756888*x3
- 1.28557521937308*x4 - 0.684040286651337*x5 + 1.22464679914735E-16*x6
+ 0.684040286651338*x7 + 1.28557521937308*x8 + 1.73205080756888*x9
+ 1.96961550602442*x10 - objvar =L= 0;
e22.. - 1.88528298218436*x1 - 1.99931464995111*x2 - 1.84775906502257*x3
- 1.45074874202458*x4 - 0.861022193616591*x5 - 0.15691819145569*x6
+ 0.568030689407845*x7 + 1.21752285801744*x8 + 1.70528032870818*x9
+ 1.96650981512791*x10 - objvar =L= 0;
e23.. - 1.74923941427879*x1 - 1.98509230328264*x2 - 1.93185165257814*x3
- 1.59727102009459*x4 - 1.03007614982011*x5 - 0.312868930080462*x6
+ 0.44990210868773*x7 + 1.14715287270209*x8 + 1.67734113589085*x9
+ 1.96325436689533*x10 - objvar =L= 0;
e24.. - 1.56521631370483*x1 - 1.92726090641725*x2 - 1.98288972274762*x3
- 1.72325832088305*x4 - 1.18964557350268*x5 - 0.466890727711811*x6
+ 0.330095211721355*x7 + 1.07459921669365*x8 + 1.64825237724403*x9
+ 1.95984940924166*x10 - objvar =L= 0;
e25.. - 1.33826121271772*x1 - 1.8270909152852*x2 - 2*x3 - 1.8270909152852*x4
- 1.33826121271772*x5 - 0.618033988749895*x6 + 0.209056926535307*x7 + x8
+ 1.61803398874989*x9 + 1.95629520146761*x10 - objvar =L= 0;
e26.. - 1.07459921669365*x1 - 1.68678289162577*x2 - 1.98288972274762*x3
- 1.90743390149645*x4 - 1.47455467362025*x5 - 0.765366864730179*x6
+ 0.087238774730672*x7 + 0.923497226470068*x8 + 1.58670668058247*x9
+ 1.95259201423987*x10 - objvar =L= 0;
e27.. - 0.781462256978548*x1 - 1.50941916044554*x2 - 1.93185165257814*x3
- 1.96325436689533*x4 - 1.59727102009459*x5 - 0.907980999479093*x6
- 0.034904812874567*x7 + 0.845236523481399*x8 + 1.55429192291394*x9
+ 1.94874012957047*x10 - objvar =L= 0;
e28.. - 0.46689072771181*x1 - 1.29889609666037*x2 - 1.84775906502257*x3
- 1.99383466746626*x4 - 1.70528032870818*x5 - 1.0449971294319*x6
- 0.15691819145569*x7 + 0.76536686473018*x8 + 1.52081193120006*x9
+ 1.94473984079535*x10 - objvar =L= 0;
e29.. - 0.139512947488251*x1 - 1.05983852846641*x2 - 1.73205080756888*x3
- 1.99878165403819*x4 - 1.79758809259833*x5 - 1.17557050458495*x6
- 0.278346201920131*x7 + 0.684040286651338*x8 + 1.48628965095479*x9
+ 1.94059145255199*x10 - objvar =L= 0;
e30.. 0.191691505040448*x1 - 0.797498137850492*x2 - 1.58670668058247*x3
- 1.97803172672383*x4 - 1.8733443784968*x5 - 1.29889609666037*x6
- 0.398735868834395*x7 + 0.601411599008546*x8 + 1.45074874202458*x9
+ 1.93629528075622*x10 - objvar =L= 0;
e31.. 0.517638090205041*x1 - 0.517638090205043*x2 - 1.4142135623731*x3
- 1.93185165257814*x4 - 1.93185165257814*x5 - 1.41421356237309*x6
- 0.517638090205041*x7 + 0.517638090205042*x8 + 1.4142135623731*x9
+ 1.93185165257814*x10 - objvar =L= 0;
e32.. 0.829386485312478*x1 - 0.226406427535814*x2 - 1.21752285801744*x3
- 1.86083513596405*x4 - 1.97257120307446*x5 - 1.52081193120006*x6
- 0.634609312810184*x7 + 0.432879227876206*x8 + 1.37670915138751*x9
+ 1.92726090641725*x10 - objvar =L= 0;
e33.. 1.11838580694149*x1 + 0.0697989934050026*x2 - x3 - 1.76589518571785*x4
- 1.99512810051965*x5 - 1.61803398874989*x6 - 0.749213186831824*x7
+ 0.347296355333861*x8 + 1.33826121271772*x9 + 1.92252339187664*x10
- objvar =L= 0;
e34.. 1.37670915138751*x1 + 0.364471050984295*x2 - 0.765366864730179*x3
- 1.64825237724403*x4 - 1.99931464995111*x5 - 1.70528032870818*x6
- 0.861022193616591*x7 + 0.261052384440103*x8 + 1.29889609666037*x9
+ 1.91763946973639*x10 - objvar =L= 0;
e35.. 1.59727102009459*x1 + 0.651136308914314*x2 - 0.517638090205041*x3
- 1.50941916044554*x4 - 1.98509230328264*x5 - 1.78201304837674*x6
- 0.969619240492674*x7 + 0.174311485495316*x8 + 1.25864078209967*x9
+ 1.91260951192607*x10 - objvar =L= 0;
e36.. 1.77402166635644*x1 + 0.923497226470066*x2 - 0.261052384440103*x3
- 1.35118041523132*x4 - 1.95259201423987*x5 - 1.84775906502257*x6
- 1.07459921669365*x7 + 0.087238774730672*x8 + 1.21752285801744*x9
+ 1.90743390149645*x10 - objvar =L= 0;
e37.. 1.90211303259031*x1 + 1.17557050458495*x2 - 3.67394039744206E-16*x3
- 1.17557050458495*x4 - 1.90211303259031*x5 - 1.90211303259031*x6
- 1.17557050458495*x7 + 1.22464679914735E-16*x8 + 1.17557050458495*x9
+ 1.90211303259031*x10 - objvar =L= 0;
e38.. 1.97803172672383*x1 + 1.4018185285997*x2 + 0.261052384440103*x3
- 0.984847120206934*x4 - 1.83412014877025*x5 - 1.94473984079535*x6
- 1.27215644055553*x7 - 0.0872387747306718*x8 + 1.13281247384967*x9
+ 1.8966473104124*x10 - objvar =L= 0;
e39.. 1.99969539031278*x1 + 1.59727102009459*x2 + 0.517638090205042*x3
- 0.781462256978548*x4 - 1.74923941427879*x5 - 1.97537668119028*x6
- 1.363996720125*x7 - 0.174311485495316*x8 + 1.08927807003005*x9
+ 1.89103715119863*x10 - objvar =L= 0;
e40.. 1.96650981512791*x1 + 1.75763422532393*x2 + 0.765366864730178*x3
- 0.568030689407845*x4 - 1.64825237724403*x5 - 1.99383466746626*x6
- 1.45074874202457*x7 - 0.261052384440103*x8 + 1.0449971294319*x9
+ 1.88528298218436*x10 - objvar =L= 0;
e41.. 1.87938524157182*x1 + 1.87938524157182*x2 + x3 - 0.347296355333861*x4
- 1.53208888623796*x5 - 2*x6 - 1.53208888623796*x7
- 0.347296355333861*x8 + x9 + 1.87938524157182*x10 - objvar =L= 0;
e42.. 1.7407113918798*x1 + 1.95984940924166*x2 + 1.21752285801744*x3
- 0.122097079069714*x4 - 1.4018185285997*x5 - 1.99383466746626*x6
- 1.60771372123443*x7 - 0.432879227876206*x8 + 0.954317520519217*x9
+ 1.8733443784968*x10 - objvar =L= 0;
e43.. 1.55429192291394*x1 + 1.99725906950915*x2 + 1.41421356237309*x3
+ 0.104671912485888*x4 - 1.25864078209967*x5 - 1.97537668119028*x6
- 1.67734113589085*x7 - 0.517638090205042*x8 + 0.907980999479094*x9
+ 1.8671608529944*x10 - objvar =L= 0;
e44.. 1.32524009643147*x1 + 1.99079239673436*x2 + 1.58670668058247*x3
+ 0.330095211721356*x4 - 1.10387397062412*x5 - 1.94473984079535*x6
- 1.7407113918798*x7 - 0.601411599008546*x8 + 0.86102219361659*x9
+ 1.86083513596405*x10 - objvar =L= 0;
e45.. 1.05983852846641*x1 + 1.94059145255199*x2 + 1.73205080756888*x3
+ 0.551274711633997*x4 - 0.938943125571782*x5 - 1.90211303259031*x6
- 1.79758809259833*x7 - 0.684040286651337*x8 + 0.813473286151601*x9
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e107.. 0.813473286151601*x1 + 0.415823381635519*x2 + 3.21624529935327E-16*x3
- 0.415823381635518*x4 - 0.8134732861516*x5 - 1.17557050458495*x6
- 1.48628965095479*x7 - 1.73205080756888*x8 - 1.90211303259031*x9
- 1.98904379073655*x10 + x14 =L= 0;
e108.. 1.10387397062412*x1 + 0.700414762518935*x2 + 0.261052384440103*x3
- 0.191691505040448*x4 - 0.634609312810184*x5 - 1.0449971294319*x6
- 1.4018185285997*x7 - 1.68678289162577*x8 - 1.88528298218436*x9
- 1.98714371135317*x10 + x14 =L= 0;
e109.. 1.363996720125*x1 + 0.969619240492674*x2 + 0.517638090205042*x3
+ 0.034904812874567*x4 - 0.44990210868773*x5 - 0.907980999479094*x6
- 1.31211805798101*x7 - 1.63830408857798*x8 - 1.8671608529944*x9
- 1.98509230328264*x10 + x14 =L= 0;
e110.. 1.58670668058247*x1 + 1.21752285801744*x2 + 0.765366864730179*x3
+ 0.261052384440103*x4 - 0.261052384440103*x5 - 0.76536686473018*x6
- 1.21752285801744*x7 - 1.58670668058247*x8 - 1.84775906502257*x9
- 1.98288972274762*x10 + x14 =L= 0;
e111.. 1.76589518571785*x1 + 1.4386796006773*x2 + x3 + 0.483843791199336*x4
- 0.0697989934050022*x5 - 0.618033988749895*x6 - 1.11838580694149*x7
- 1.53208888623796*x8 - 1.8270909152852*x9 - 1.98053613748314*x10 + x14
=L= 0;
e112.. 1.8966473104124*x1 + 1.62823103671264*x2 + 1.21752285801744*x3
+ 0.700414762518935*x4 + 0.122097079069714*x5 - 0.466890727711811*x6
- 1.01507672592141*x7 - 1.47455467362025*x8 - 1.80517056869972*x9
- 1.97803172672383*x10 + x14 =L= 0;
e113.. 1.97537668119028*x1 + 1.78201304837674*x2 + 1.41421356237309*x3
+ 0.907980999479093*x4 + 0.312868930080462*x5 - 0.312868930080462*x6
- 0.907980999479094*x7 - 1.4142135623731*x8 - 1.78201304837674*x9
- 1.97537668119028*x10 + x14 =L= 0;
e114.. 1.99992384612834*x1 + 1.8966473104124*x2 + 1.58670668058247*x3
+ 1.10387397062412*x4 + 0.500760008108883*x5 - 0.15691819145569*x6
- 0.797498137850492*x7 - 1.35118041523132*x8 - 1.75763422532393*x9
- 1.97257120307446*x10 + x14 =L= 0;
e115.. 1.96961550602442*x1 + 1.96961550602442*x2 + 1.73205080756888*x3
+ 1.28557521937308*x4 + 0.684040286651337*x5 - 1.22464679914735E-16*x6
- 0.684040286651338*x7 - 1.28557521937308*x8 - 1.73205080756888*x9
- 1.96961550602442*x10 + x14 =L= 0;
e116.. 1.88528298218436*x1 + 1.99931464995111*x2 + 1.84775906502257*x3
+ 1.45074874202458*x4 + 0.861022193616591*x5 + 0.15691819145569*x6
- 0.568030689407845*x7 - 1.21752285801744*x8 - 1.70528032870818*x9
- 1.96650981512791*x10 + x14 =L= 0;
e117.. 1.74923941427879*x1 + 1.98509230328264*x2 + 1.93185165257814*x3
+ 1.59727102009459*x4 + 1.03007614982011*x5 + 0.312868930080462*x6
- 0.44990210868773*x7 - 1.14715287270209*x8 - 1.67734113589085*x9
- 1.96325436689533*x10 + x14 =L= 0;
e118.. 1.56521631370483*x1 + 1.92726090641725*x2 + 1.98288972274762*x3
+ 1.72325832088305*x4 + 1.18964557350268*x5 + 0.466890727711811*x6
- 0.330095211721355*x7 - 1.07459921669365*x8 - 1.64825237724403*x9
- 1.95984940924166*x10 + x14 =L= 0;
e119.. 1.33826121271772*x1 + 1.8270909152852*x2 + 2*x3 + 1.8270909152852*x4
+ 1.33826121271772*x5 + 0.618033988749895*x6 - 0.209056926535307*x7
- x8 - 1.61803398874989*x9 - 1.95629520146761*x10 + x14 =L= 0;
e120.. 1.07459921669365*x1 + 1.68678289162577*x2 + 1.98288972274762*x3
+ 1.90743390149645*x4 + 1.47455467362025*x5 + 0.765366864730179*x6
- 0.087238774730672*x7 - 0.923497226470068*x8 - 1.58670668058247*x9
- 1.95259201423987*x10 + x14 =L= 0;
e121.. 0.781462256978548*x1 + 1.50941916044554*x2 + 1.93185165257814*x3
+ 1.96325436689533*x4 + 1.59727102009459*x5 + 0.907980999479093*x6
+ 0.034904812874567*x7 - 0.845236523481399*x8 - 1.55429192291394*x9
- 1.94874012957047*x10 + x14 =L= 0;
e122.. 0.46689072771181*x1 + 1.29889609666037*x2 + 1.84775906502257*x3
+ 1.99383466746626*x4 + 1.70528032870818*x5 + 1.0449971294319*x6
+ 0.15691819145569*x7 - 0.76536686473018*x8 - 1.52081193120006*x9
- 1.94473984079535*x10 + x14 =L= 0;
e123.. 0.139512947488251*x1 + 1.05983852846641*x2 + 1.73205080756888*x3
+ 1.99878165403819*x4 + 1.79758809259833*x5 + 1.17557050458495*x6
+ 0.278346201920131*x7 - 0.684040286651338*x8 - 1.48628965095479*x9
- 1.94059145255199*x10 + x14 =L= 0;
e124.. - 0.191691505040448*x1 + 0.797498137850492*x2 + 1.58670668058247*x3
+ 1.97803172672383*x4 + 1.8733443784968*x5 + 1.29889609666037*x6
+ 0.398735868834395*x7 - 0.601411599008546*x8 - 1.45074874202458*x9
- 1.93629528075622*x10 + x14 =L= 0;
e125.. - 0.517638090205041*x1 + 0.517638090205043*x2 + 1.4142135623731*x3
+ 1.93185165257814*x4 + 1.93185165257814*x5 + 1.41421356237309*x6
+ 0.517638090205041*x7 - 0.517638090205042*x8 - 1.4142135623731*x9
- 1.93185165257814*x10 + x14 =L= 0;
e126.. - 0.829386485312478*x1 + 0.226406427535814*x2 + 1.21752285801744*x3
+ 1.86083513596405*x4 + 1.97257120307446*x5 + 1.52081193120006*x6
+ 0.634609312810184*x7 - 0.432879227876206*x8 - 1.37670915138751*x9
- 1.92726090641725*x10 + x14 =L= 0;
e127.. - 1.11838580694149*x1 - 0.0697989934050026*x2 + x3
+ 1.76589518571785*x4 + 1.99512810051965*x5 + 1.61803398874989*x6
+ 0.749213186831824*x7 - 0.347296355333861*x8 - 1.33826121271772*x9
- 1.92252339187664*x10 + x14 =L= 0;
e128.. - 1.37670915138751*x1 - 0.364471050984295*x2 + 0.765366864730179*x3
+ 1.64825237724403*x4 + 1.99931464995111*x5 + 1.70528032870818*x6
+ 0.861022193616591*x7 - 0.261052384440103*x8 - 1.29889609666037*x9
- 1.91763946973639*x10 + x14 =L= 0;
e129.. - 1.59727102009459*x1 - 0.651136308914314*x2 + 0.517638090205041*x3
+ 1.50941916044554*x4 + 1.98509230328264*x5 + 1.78201304837674*x6
+ 0.969619240492674*x7 - 0.174311485495316*x8 - 1.25864078209967*x9
- 1.91260951192607*x10 + x14 =L= 0;
e130.. - 1.77402166635644*x1 - 0.923497226470066*x2 + 0.261052384440103*x3
+ 1.35118041523132*x4 + 1.95259201423987*x5 + 1.84775906502257*x6
+ 1.07459921669365*x7 - 0.087238774730672*x8 - 1.21752285801744*x9
- 1.90743390149645*x10 + x14 =L= 0;
e131.. - 1.90211303259031*x1 - 1.17557050458495*x2 + 3.67394039744206E-16*x3
+ 1.17557050458495*x4 + 1.90211303259031*x5 + 1.90211303259031*x6
+ 1.17557050458495*x7 - 1.22464679914735E-16*x8 - 1.17557050458495*x9
- 1.90211303259031*x10 + x14 =L= 0;
e132.. - 1.97803172672383*x1 - 1.4018185285997*x2 - 0.261052384440103*x3
+ 0.984847120206934*x4 + 1.83412014877025*x5 + 1.94473984079535*x6
+ 1.27215644055553*x7 + 0.0872387747306718*x8 - 1.13281247384967*x9
- 1.8966473104124*x10 + x14 =L= 0;
e133.. - 1.99969539031278*x1 - 1.59727102009459*x2 - 0.517638090205042*x3
+ 0.781462256978548*x4 + 1.74923941427879*x5 + 1.97537668119028*x6
+ 1.363996720125*x7 + 0.174311485495316*x8 - 1.08927807003005*x9
- 1.89103715119863*x10 + x14 =L= 0;
e134.. - 1.96650981512791*x1 - 1.75763422532393*x2 - 0.765366864730178*x3
+ 0.568030689407845*x4 + 1.64825237724403*x5 + 1.99383466746626*x6
+ 1.45074874202457*x7 + 0.261052384440103*x8 - 1.0449971294319*x9
- 1.88528298218436*x10 + x14 =L= 0;
e135.. - 1.87938524157182*x1 - 1.87938524157182*x2 - x3 + 0.347296355333861*x4
+ 1.53208888623796*x5 + 2*x6 + 1.53208888623796*x7
+ 0.347296355333861*x8 - x9 - 1.87938524157182*x10 + x14 =L= 0;
e136.. - 1.7407113918798*x1 - 1.95984940924166*x2 - 1.21752285801744*x3
+ 0.122097079069714*x4 + 1.4018185285997*x5 + 1.99383466746626*x6
+ 1.60771372123443*x7 + 0.432879227876206*x8 - 0.954317520519217*x9
- 1.8733443784968*x10 + x14 =L= 0;
e137.. - 1.55429192291394*x1 - 1.99725906950915*x2 - 1.41421356237309*x3
- 0.104671912485888*x4 + 1.25864078209967*x5 + 1.97537668119028*x6
+ 1.67734113589085*x7 + 0.517638090205042*x8 - 0.907980999479094*x9
- 1.8671608529944*x10 + x14 =L= 0;
e138.. - 1.32524009643147*x1 - 1.99079239673436*x2 - 1.58670668058247*x3
- 0.330095211721356*x4 + 1.10387397062412*x5 + 1.94473984079535*x6
+ 1.7407113918798*x7 + 0.601411599008546*x8 - 0.86102219361659*x9
- 1.86083513596405*x10 + x14 =L= 0;
e139.. - 1.05983852846641*x1 - 1.94059145255199*x2 - 1.73205080756888*x3
- 0.551274711633997*x4 + 0.938943125571782*x5 + 1.90211303259031*x6
+ 1.79758809259833*x7 + 0.684040286651337*x8 - 0.813473286151601*x9
- 1.85436770913357*x10 + x14 =L= 0;
e140.. - 0.765366864730181*x1 - 1.84775906502257*x2 - 1.84775906502257*x3
- 0.76536686473018*x4 + 0.765366864730181*x5 + 1.84775906502257*x6
+ 1.84775906502257*x7 + 0.765366864730179*x8 - 0.76536686473018*x9
- 1.84775906502257*x10 + x14 =L= 0;
e141.. - 0.449902108687731*x1 - 1.71433460140422*x2 - 1.93185165257814*x3
- 0.969619240492675*x4 + 0.584743409445474*x5 + 1.78201304837674*x6
+ 1.89103715119863*x7 + 0.845236523481399*x8 - 0.7167358990906*x9
- 1.84100970690488*x10 + x14 =L= 0;
e142.. - 0.122097079069714*x1 - 1.54324916677544*x2 - 1.98288972274762*x3
- 1.16140591142188*x4 + 0.398735868834395*x5 + 1.70528032870818*x6
+ 1.92726090641725*x7 + 0.923497226470068*x8 - 0.667613718467542*x9
- 1.83412014877025*x10 + x14 =L= 0;
e143.. 0.209056926535307*x1 - 1.33826121271772*x2 - 2*x3
- 1.33826121271772*x4 + 0.209056926535307*x5 + 1.61803398874989*x6
+ 1.95629520146761*x7 + x8 - 0.618033988749895*x9 - 1.8270909152852*x10
+ x14 =L= 0;
e144.. 0.534476752156511*x1 - 1.10387397062412*x2 - 1.98288972274762*x3
- 1.497911441578*x4 + 0.0174530709967489*x5 + 1.52081193120006*x6
+ 1.97803172672383*x7 + 1.07459921669365*x8 - 0.568030689407846*x9
- 1.81992254175309*x10 + x14 =L= 0;
e145.. 0.845236523481397*x1 - 0.845236523481399*x2 - 1.93185165257814*x3
- 1.63830408857798*x4 - 0.174311485495316*x5 + 1.4142135623731*x6
+ 1.99238939618349*x7 + 1.14715287270209*x8 - 0.517638090205041*x9
- 1.8126155740733*x10 + x14 =L= 0;
e146.. 1.13281247384966*x1 - 0.568030689407846*x2 - 1.84775906502257*x3
- 1.75763422532393*x4 - 0.364471050984295*x5 + 1.29889609666037*x6
+ 1.99931464995111*x7 + 1.21752285801744*x8 - 0.466890727711811*x9
- 1.80517056869972*x10 + x14 =L= 0;
e147.. 1.38931674091799*x1 - 0.27834620192013*x2 - 1.73205080756888*x3
- 1.85436770913358*x4 - 0.551274711633999*x5 + 1.17557050458495*x6
+ 1.99878165403819*x7 + 1.28557521937308*x8 - 0.415823381635518*x9
- 1.79758809259833*x10 + x14 =L= 0;
e148.. 1.60771372123443*x1 + 0.0174530709967462*x2 - 1.58670668058247*x3
- 1.92726090641725*x4 - 0.733002453448594*x5 + 1.0449971294319*x6
+ 1.99079239673436*x7 + 1.35118041523132*x8 - 0.364471050984295*x9
- 1.78986872320405*x10 + x14 =L= 0;
e149.. 1.78201304837674*x1 + 0.312868930080459*x2 - 1.4142135623731*x3
- 1.97537668119028*x4 - 0.907980999479093*x5 + 0.907980999479094*x6
+ 1.97537668119028*x7 + 1.41421356237309*x8 - 0.312868930080462*x9
- 1.78201304837674*x10 + x14 =L= 0;
e150.. 1.90743390149645*x1 + 0.601411599008547*x2 - 1.21752285801744*x3
- 1.99809644316372*x4 - 1.07459921669365*x5 + 0.765366864730179*x6
+ 1.95259201423987*x7 + 1.47455467362025*x8 - 0.261052384440103*x9
- 1.77402166635644*x10 + x14 =L= 0;
e151.. 1.98053613748314*x1 + 0.876742293578155*x2 - x3 - 1.99512810051965*x4
- 1.23132295065132*x5 + 0.618033988749895*x6 + 1.92252339187664*x7
+ 1.53208888623796*x8 - 0.209056926535307*x9 - 1.76589518571785*x10
+ x14 =L= 0;
e152.. 1.99931464995111*x1 + 1.13281247384966*x2 - 0.765366864730179*x3
- 1.96650981512791*x4 - 1.37670915138751*x5 + 0.46689072771181*x6
+ 1.88528298218436*x7 + 1.58670668058247*x8 - 0.15691819145569*x9
- 1.75763422532393*x10 + x14 =L= 0;
e153.. 1.96325436689533*x1 + 1.363996720125*x2 - 0.517638090205041*x3
- 1.91260951192607*x4 - 1.50941916044554*x5 + 0.31286893008046*x6
+ 1.84100970690488*x7 + 1.63830408857798*x8 - 0.104671912485887*x9
- 1.74923941427879*x10 + x14 =L= 0;
e154.. 1.87334437849679*x1 + 1.56521631370483*x2 - 0.261052384440102*x3
- 1.83412014877025*x4 - 1.62823103671264*x5 + 0.156918191455689*x6
+ 1.78986872320405*x7 + 1.68678289162577*x8 - 0.0523538966157458*x9
- 1.7407113918798*x10 + x14 =L= 0;
e155.. 1.73205080756888*x1 + 1.73205080756888*x2 - 2.38868023897393E-15*x3
- 1.73205080756888*x4 - 1.73205080756888*x5 + 3.67394039744206E-16*x6
+ 1.73205080756888*x7 + 1.73205080756888*x8 - 1.22464679914735E-16*x9
- 1.73205080756888*x10 + x14 =L= 0;
e156.. 1.54324916677544*x1 + 1.86083513596405*x2 + 0.261052384440102*x3
- 1.60771372123444*x4 - 1.81992254175309*x5 - 0.156918191455689*x6
+ 1.66777164413434*x7 + 1.77402166635644*x8 + 0.052353896615746*x9
- 1.72325832088305*x10 + x14 =L= 0;
e157.. 1.31211805798101*x1 + 1.94874012957047*x2 + 0.51763809020504*x3
- 1.46270740323834*x4 - 1.89103715119863*x5 - 0.312868930080461*x6
+ 1.59727102009459*x7 + 1.8126155740733*x8 + 0.104671912485887*x9
- 1.71433460140422*x10 + x14 =L= 0;
e158.. 1.0449971294319*x1 + 1.99383466746626*x2 + 0.76536686473018*x3
- 1.29889609666037*x4 - 1.94473984079535*x5 - 0.46689072771181*x6
+ 1.52081193120006*x7 + 1.84775906502257*x8 + 0.15691819145569*x9
- 1.70528032870818*x10 + x14 =L= 0;
e159.. 0.749213186831823*x1 + 1.99512810051965*x2 + 0.999999999999998*x3
- 1.11838580694149*x4 - 1.98053613748314*x5 - 0.618033988749894*x6
+ 1.4386796006773*x7 + 1.87938524157182*x8 + 0.209056926535307*x9
- 1.69609619231285*x10 + x14 =L= 0;
e160.. 0.432879227876204*x1 + 1.95259201423987*x2 + 1.21752285801744*x3
- 0.923497226470067*x4 - 1.99809644316372*x5 - 0.76536686473018*x6
+ 1.35118041523132*x7 + 1.90743390149645*x8 + 0.261052384440103*x9
- 1.68678289162577*x10 + x14 =L= 0;
e161.. 0.104671912485886*x1 + 1.8671608529944*x2 + 1.4142135623731*x3
- 0.7167358990906*x4 - 1.99725906950915*x5 - 0.907980999479093*x6
+ 1.25864078209967*x7 + 1.93185165257814*x8 + 0.312868930080462*x9
- 1.67734113589085*x10 + x14 =L= 0;
e162.. - 0.226406427535813*x1 + 1.7407113918798*x2 + 1.58670668058247*x3
- 0.500760008108882*x4 - 1.97803172672383*x5 - 1.0449971294319*x6
+ 1.16140591142188*x7 + 1.95259201423987*x8 + 0.364471050984295*x9
- 1.66777164413434*x10 + x14 =L= 0;
e163.. - 0.551274711633998*x1 + 1.57602150721344*x2 + 1.73205080756888*x3
- 0.27834620192013*x4 - 1.94059145255199*x5 - 1.17557050458495*x6
+ 1.05983852846641*x7 + 1.96961550602442*x8 + 0.415823381635519*x9
- 1.65807514511008*x10 + x14 =L= 0;
e164.. - 0.861022193616588*x1 + 1.37670915138751*x2 + 1.84775906502257*x3
- 0.0523538966157472*x4 - 1.88528298218436*x5 - 1.29889609666037*x6
+ 0.954317520519217*x7 + 1.98288972274762*x8 + 0.466890727711811*x9
- 1.64825237724403*x10 + x14 =L= 0;
e165.. - 1.14715287270209*x1 + 1.14715287270209*x2 + 1.93185165257814*x3
+ 0.174311485495316*x4 - 1.8126155740733*x5 - 1.41421356237309*x6
+ 0.8452365234814*x7 + 1.99238939618349*x8 + 0.517638090205041*x9
- 1.63830408857798*x10 + x14 =L= 0;
e166.. - 1.4018185285997*x1 + 0.892395626219618*x2 + 1.98288972274762*x3
+ 0.398735868834394*x4 - 1.72325832088305*x5 - 1.52081193120006*x6
+ 0.733002453448594*x7 + 1.99809644316372*x8 + 0.568030689407845*x9
- 1.62823103671264*x10 + x14 =L= 0;
e167.. - 1.61803398874989*x1 + 0.618033988749896*x2 + 2*x3
+ 0.618033988749894*x4 - 1.6180339887499*x5 - 1.61803398874989*x6
+ 0.618033988749895*x7 + 2*x8 + 0.618033988749895*x9
- 1.61803398874989*x10 + x14 =L= 0;
e168.. - 1.78986872320405*x1 + 0.330095211721357*x2 + 1.98288972274762*x3
+ 0.829386485312478*x4 - 1.497911441578*x5 - 1.70528032870818*x6
+ 0.500760008108884*x7 + 1.99809644316372*x8 + 0.667613718467542*x9
- 1.60771372123443*x10 + x14 =L= 0;
e169.. - 1.91260951192607*x1 + 0.0349048128745657*x2 + 1.93185165257814*x3
+ 1.03007614982011*x4 - 1.363996720125*x5 - 1.78201304837674*x6
+ 0.381617990753089*x7 + 1.99238939618349*x8 + 0.716735899090601*x9
- 1.59727102009459*x10 + x14 =L= 0;
e170.. - 1.98288972274762*x1 - 0.261052384440104*x2 + 1.84775906502257*x3
+ 1.21752285801744*x4 - 1.21752285801744*x5 - 1.84775906502257*x6
+ 0.261052384440103*x7 + 1.98288972274762*x8 + 0.765366864730179*x9
- 1.58670668058247*x10 + x14 =L= 0;
e171.. - 1.99878165403819*x1 - 0.551274711633998*x2 + 1.73205080756888*x3
+ 1.38931674091799*x4 - 1.05983852846641*x5 - 1.90211303259031*x6
+ 0.139512947488249*x7 + 1.96961550602442*x8 + 0.813473286151601*x9
- 1.57602150721344*x10 + x14 =L= 0;
e172.. - 1.95984940924166*x1 - 0.829386485312481*x2 + 1.58670668058247*x3
+ 1.54324916677544*x4 - 0.892395626219618*x5 - 1.94473984079535*x6
+ 0.0174530709967472*x7 + 1.95259201423987*x8 + 0.861022193616591*x9
- 1.56521631370483*x10 + x14 =L= 0;
e173.. - 1.8671608529944*x1 - 1.08927807003005*x2 + 1.4142135623731*x3
+ 1.67734113589085*x4 - 0.716735899090602*x5 - 1.97537668119028*x6
- 0.104671912485886*x7 + 1.93185165257814*x8 + 0.907980999479093*x9
- 1.55429192291394*x10 + x14 =L= 0;
e174.. - 1.72325832088305*x1 - 1.32524009643147*x2 + 1.21752285801744*x3
+ 1.78986872320405*x4 - 0.534476752156514*x5 - 1.99383466746626*x6
- 0.226406427535813*x7 + 1.90743390149645*x8 + 0.954317520519217*x9
- 1.54324916677544*x10 + x14 =L= 0;
e175.. - 1.53208888623796*x1 - 1.53208888623795*x2 + x3 + 1.87938524157182*x4
- 0.347296355333861*x5 - 2*x6 - 0.34729635533386*x7
+ 1.87938524157182*x8 + x9 - 1.53208888623796*x10 + x14 =L= 0;
e176.. - 1.29889609666037*x1 - 1.70528032870818*x2 + 0.765366864730181*x3
+ 1.94473984079535*x4 - 0.156918191455691*x5 - 1.99383466746626*x6
- 0.46689072771181*x7 + 1.84775906502257*x8 + 1.0449971294319*x9
- 1.52081193120006*x10 + x14 =L= 0;
e177.. - 1.03007614982011*x1 - 1.84100970690488*x2 + 0.517638090205042*x3
+ 1.98509230328264*x4 + 0.034904812874566*x5 - 1.97537668119028*x6
- 0.584743409445473*x7 + 1.8126155740733*x8 + 1.08927807003005*x9
- 1.50941916044554*x10 + x14 =L= 0;
e178.. - 0.733002453448595*x1 - 1.93629528075622*x2 + 0.261052384440102*x3
+ 1.99992384612834*x4 + 0.226406427535813*x5 - 1.94473984079535*x6
- 0.700414762518934*x7 + 1.77402166635644*x8 + 1.13281247384967*x9
- 1.497911441578*x10 + x14 =L= 0;
e179.. - 0.415823381635519*x1 - 1.98904379073655*x2 + 8.57252759403147E-16*x3
+ 1.98904379073655*x4 + 0.41582338163552*x5 - 1.90211303259031*x6
- 0.813473286151601*x7 + 1.73205080756888*x8 + 1.17557050458495*x9
- 1.48628965095479*x10 + x14 =L= 0;
e180.. - 0.0872387747306712*x1 - 1.99809644316372*x2 - 0.261052384440104*x3
+ 1.95259201423987*x4 + 0.601411599008547*x5 - 1.84775906502257*x6
- 0.923497226470068*x7 + 1.68678289162577*x8 + 1.21752285801744*x9
- 1.47455467362025*x10 + x14 =L= 0;
e181.. 0.243738686810296*x1 - 1.96325436689533*x2 - 0.517638090205044*x3
+ 1.89103715119863*x4 + 0.781462256978547*x5 - 1.78201304837674*x6
- 1.03007614982011*x7 + 1.63830408857798*x8 + 1.25864078209968*x9
- 1.46270740323834*x10 + x14 =L= 0;
e182.. 0.568030689407844*x1 - 1.88528298218436*x2 - 0.765366864730176*x3
+ 1.80517056869972*x4 + 0.954317520519215*x5 - 1.70528032870819*x6
- 1.13281247384966*x7 + 1.58670668058247*x8 + 1.29889609666037*x9
- 1.45074874202458*x10 + x14 =L= 0;
e183.. 0.876742293578154*x1 - 1.76589518571785*x2 - 0.999999999999998*x3
+ 1.69609619231285*x4 + 1.11838580694149*x5 - 1.6180339887499*x6
- 1.23132295065132*x7 + 1.53208888623796*x8 + 1.33826121271772*x9
- 1.4386796006773*x10 + x14 =L= 0;
e184.. 1.16140591142188*x1 - 1.60771372123444*x2 - 1.21752285801744*x3
+ 1.56521631370483*x4 + 1.27215644055553*x5 - 1.52081193120006*x6
- 1.32524009643148*x7 + 1.47455467362025*x8 + 1.37670915138751*x9
- 1.42650089830836*x10 + x14 =L= 0;
e185.. 1.41421356237309*x1 - 1.41421356237309*x2 - 1.41421356237309*x3
+ 1.41421356237309*x4 + 1.41421356237309*x5 - 1.4142135623731*x6
- 1.41421356237309*x7 + 1.4142135623731*x8 + 1.41421356237309*x9
- 1.4142135623731*x10 + x14 =L= 0;
e186.. - x1 - 0.999999999999995*x2 + 2*x3 - x4 - 0.999999999999998*x5 + 2*x6
- x7 - x8 + 2*x9 - x10 =L= 0.01;
e187.. - 0.700414762518935*x1 - 1.24502927327524*x2 + 1.98288972274762*x3
- 0.797498137850492*x4 - 1.16140591142188*x5 + 1.99383466746626*x6
- 0.892395626219618*x7 - 1.07459921669365*x8 + 1.99931464995111*x9
- 0.984847120206934*x10 =L= 0.01;
e188.. - 0.381617990753092*x1 - 1.46270740323834*x2 + 1.93185165257814*x3
- 0.584743409445477*x4 - 1.31211805798101*x5 + 1.97537668119028*x6
- 0.781462256978548*x7 - 1.14715287270209*x8 + 1.99725906950915*x9
- 0.969619240492674*x10 =L= 0.01;
e189.. - 0.0523538966157446*x1 - 1.64825237724403*x2 + 1.84775906502257*x3
- 0.364471050984295*x4 - 1.45074874202458*x5 + 1.94473984079535*x6
- 0.667613718467541*x7 - 1.21752285801744*x8 + 1.99383466746626*x9
- 0.954317520519217*x10 =L= 0.01;
e190.. 0.27834620192013*x1 - 1.79758809259833*x2 + 1.73205080756888*x3
- 0.139512947488254*x4 - 1.57602150721344*x5 + 1.90211303259031*x6
- 0.551274711634*x7 - 1.28557521937308*x8 + 1.98904379073655*x9
- 0.938943125571782*x10 =L= 0.01;
e191.. 0.601411599008549*x1 - 1.90743390149646*x2 + 1.58670668058247*x3
+ 0.0872387747306726*x4 - 1.68678289162577*x5 + 1.84775906502257*x6
- 0.432879227876204*x7 - 1.35118041523132*x8 + 1.98288972274762*x9
- 0.923497226470068*x10 =L= 0.01;
e192.. 0.907980999479094*x1 - 1.97537668119027*x2 + 1.41421356237309*x3
+ 0.312868930080459*x4 - 1.78201304837674*x5 + 1.78201304837674*x6
- 0.312868930080462*x7 - 1.41421356237309*x8 + 1.97537668119028*x9
- 0.907980999479094*x10 =L= 0.01;
e193.. 1.18964557350269*x1 - 1.99992384612834*x2 + 1.21752285801744*x3
+ 0.534476752156514*x4 - 1.86083513596405*x5 + 1.70528032870818*x6
- 0.191691505040447*x7 - 1.47455467362025*x8 + 1.96650981512791*x9
- 0.892395626219617*x10 =L= 0.01;
e194.. 1.4386796006773*x1 - 1.98053613748314*x2 + x3 + 0.749213186831825*x4
- 1.92252339187664*x5 + 1.6180339887499*x6 - 0.0697989934050018*x7
- 1.53208888623796*x8 + 1.95629520146761*x9 - 0.876742293578155*x10
=L= 0.01;
e195.. 1.64825237724403*x1 - 1.91763946973639*x2 + 0.765366864730182*x3
+ 0.954317520519214*x4 - 1.96650981512791*x5 + 1.52081193120006*x6
+ 0.0523538966157442*x7 - 1.58670668058247*x8 + 1.94473984079535*x9
- 0.86102219361659*x10 =L= 0.01;
e196.. 1.8126155740733*x1 - 1.8126155740733*x2 + 0.517638090205042*x3
+ 1.14715287270209*x4 - 1.99238939618349*x5 + 1.41421356237309*x6
+ 0.174311485495316*x7 - 1.63830408857798*x8 + 1.93185165257814*x9
- 0.845236523481399*x10 =L= 0.01;
e197.. 1.92726090641725*x1 - 1.66777164413434*x2 + 0.261052384440102*x3
+ 1.32524009643147*x4 - 1.99992384612834*x5 + 1.29889609666037*x6
+ 0.29561882225922*x7 - 1.68678289162577*x8 + 1.91763946973639*x9
- 0.829386485312478*x10 =L= 0.01;
e198.. 1.98904379073655*x1 - 1.48628965095479*x2 - 2.20560219973841E-15*x3
+ 1.48628965095479*x4 - 1.98904379073655*x5 + 1.17557050458495*x6
+ 0.41582338163552*x7 - 1.73205080756888*x8 + 1.90211303259031*x9
- 0.8134732861516*x10 =L= 0.01;
e199.. 1.99626959684373*x1 - 1.27215644055553*x2 - 0.2610523844401*x3
+ 1.62823103671264*x4 - 1.95984940924166*x5 + 1.0449971294319*x6
+ 0.534476752156511*x7 - 1.77402166635644*x8 + 1.88528298218436*x9
- 0.797498137850493*x10 =L= 0.01;
e200.. 1.94874012957047*x1 - 1.0300761498201*x2 - 0.51763809020504*x3
+ 1.74923941427879*x4 - 1.91260951192607*x5 + 0.907980999479093*x6
+ 0.651136308914314*x7 - 1.8126155740733*x8 + 1.8671608529944*x9
- 0.781462256978547*x10 =L= 0.01;
e201.. 1.84775906502258*x1 - 0.765366864730182*x2 - 0.765366864730179*x3
+ 1.84775906502257*x4 - 1.84775906502257*x5 + 0.765366864730181*x6
+ 0.76536686473018*x7 - 1.84775906502257*x8 + 1.84775906502257*x9
- 0.76536686473018*x10 =L= 0.01;
e202.. 1.69609619231285*x1 - 0.483843791199332*x2 - x3 + 1.92252339187664*x4
- 1.76589518571785*x5 + 0.618033988749892*x6 + 0.876742293578155*x7
- 1.87938524157182*x8 + 1.8270909152852*x9 - 0.749213186831824*x10
=L= 0.01;
e203.. 1.49791144157801*x1 - 0.191691505040452*x2 - 1.21752285801744*x3
+ 1.97257120307446*x4 - 1.66777164413434*x5 + 0.466890727711811*x6
+ 0.984847120206934*x7 - 1.90743390149645*x8 + 1.80517056869972*x9
- 0.733002453448595*x10 =L= 0.01;
e204.. 1.25864078209968*x1 + 0.104671912485883*x2 - 1.41421356237309*x3
+ 1.99725906950915*x4 - 1.55429192291394*x5 + 0.312868930080464*x6
+ 1.08927807003005*x7 - 1.93185165257814*x8 + 1.78201304837674*x9
- 0.716735899090601*x10 =L= 0.01;
e205.. 0.984847120206936*x1 + 0.398735868834396*x2 - 1.58670668058247*x3
+ 1.99626959684373*x4 - 1.42650089830836*x5 + 0.156918191455688*x6
+ 1.18964557350268*x7 - 1.95259201423987*x8 + 1.75763422532393*x9
- 0.700414762518935*x10 =L= 0.01;
e206.. 0.684040286651342*x1 + 0.684040286651332*x2 - 1.73205080756888*x3
+ 1.96961550602442*x4 - 1.28557521937308*x5 + 8.57252759403147E-16*x6
+ 1.28557521937308*x7 - 1.96961550602442*x8 + 1.73205080756888*x9
- 0.684040286651338*x10 =L= 0.01;
e207.. 0.364471050984295*x1 + 0.954317520519217*x2 - 1.84775906502257*x3
+ 1.91763946973639*x4 - 1.13281247384967*x5 - 0.15691819145569*x6
+ 1.37670915138751*x7 - 1.98288972274762*x8 + 1.70528032870818*x9
- 0.667613718467542*x10 =L= 0.01;
e208.. 0.0349048128745702*x1 + 1.2036300463041*x2 - 1.93185165257814*x3
+ 1.84100970690488*x4 - 0.969619240492676*x5 - 0.312868930080459*x6
+ 1.46270740323834*x7 - 1.99238939618349*x8 + 1.67734113589085*x9
- 0.651136308914314*x10 =L= 0.01;
e209.. - 0.295618822259222*x1 + 1.42650089830836*x2 - 1.98288972274762*x3
+ 1.7407113918798*x4 - 0.797498137850492*x5 - 0.466890727711813*x6
+ 1.54324916677544*x7 - 1.99809644316372*x8 + 1.64825237724403*x9
- 0.634609312810184*x10 =L= 0.01;
e210.. - 0.618033988749893*x1 + 1.61803398874989*x2 - 2*x3
+ 1.6180339887499*x4 - 0.618033988749896*x5 - 0.618033988749894*x6
+ 1.61803398874989*x7 - 2*x8 + 1.61803398874989*x9
- 0.618033988749895*x10 =L= 0.01;
e211.. - 0.92349722647007*x1 + 1.77402166635645*x2 - 1.98288972274762*x3
+ 1.47455467362025*x4 - 0.432879227876205*x5 - 0.76536686473018*x6
+ 1.68678289162577*x7 - 1.99809644316372*x8 + 1.58670668058247*x9
- 0.601411599008546*x10 =L= 0.01;
e212.. - 1.2036300463041*x1 + 1.89103715119863*x2 - 1.93185165257814*x3
+ 1.31211805798102*x4 - 0.243738686810295*x5 - 0.907980999479094*x6
+ 1.74923941427879*x7 - 1.99238939618349*x8 + 1.55429192291394*x9
- 0.584743409445474*x10 =L= 0.01;
e213.. - 1.45074874202457*x1 + 1.96650981512791*x2 - 1.84775906502258*x3
+ 1.13281247384967*x4 - 0.0523538966157477*x5 - 1.0449971294319*x6
+ 1.80517056869972*x7 - 1.98288972274762*x8 + 1.52081193120006*x9
- 0.568030689407846*x10 =L= 0.01;
e214.. - 1.65807514511008*x1 + 1.99878165403819*x2 - 1.73205080756888*x3
+ 0.938943125571782*x4 + 0.139512947488251*x5 - 1.17557050458495*x6
+ 1.85436770913358*x7 - 1.96961550602442*x8 + 1.48628965095479*x9
- 0.551274711633998*x10 =L= 0.01;
e215.. - 1.81992254175309*x1 + 1.98714371135318*x2 - 1.58670668058247*x3
+ 0.733002453448599*x4 + 0.330095211721355*x5 - 1.29889609666036*x6
+ 1.8966473104124*x7 - 1.95259201423987*x8 + 1.45074874202458*x9
- 0.534476752156514*x10 =L= 0.01;
e216.. - 1.93185165257814*x1 + 1.93185165257814*x2 - 1.41421356237309*x3
+ 0.517638090205042*x4 + 0.517638090205043*x5 - 1.4142135623731*x6
+ 1.93185165257814*x7 - 1.93185165257814*x8 + 1.4142135623731*x9
- 0.517638090205041*x10 =L= 0.01;
e217.. - 1.99079239673436*x1 + 1.83412014877025*x2 - 1.21752285801745*x3
+ 0.295618822259225*x4 + 0.700414762518932*x5 - 1.52081193120006*x6
+ 1.95984940924166*x7 - 1.90743390149645*x8 + 1.37670915138751*x9
- 0.500760008108883*x10 =L= 0.01;
e218.. - 1.99512810051965*x1 + 1.69609619231285*x2 - 0.999999999999997*x3
+ 0.0697989934050025*x4 + 0.876742293578157*x5 - 1.61803398874989*x6
+ 1.98053613748314*x7 - 1.87938524157182*x8 + 1.33826121271772*x9
- 0.483843791199335*x10 =L= 0.01;
e219.. - 1.94473984079535*x1 + 1.52081193120006*x2 - 0.765366864730182*x3
- 0.156918191455686*x4 + 1.0449971294319*x5 - 1.70528032870818*x6
+ 1.99383466746626*x7 - 1.84775906502257*x8 + 1.29889609666037*x9
- 0.466890727711811*x10 =L= 0.01;
e220.. - 1.84100970690488*x1 + 1.31211805798101*x2 - 0.517638090205042*x3
- 0.381617990753089*x4 + 1.2036300463041*x5 - 1.78201304837674*x6
+ 1.99969539031278*x7 - 1.8126155740733*x8 + 1.25864078209967*x9
- 0.44990210868773*x10 =L= 0.01;
e221.. - 1.68678289162577*x1 + 1.07459921669365*x2 - 0.261052384440103*x3
- 0.601411599008543*x4 + 1.35118041523132*x5 - 1.84775906502257*x6
+ 1.99809644316372*x7 - 1.77402166635644*x8 + 1.21752285801744*x9
- 0.432879227876206*x10 =L= 0.01;
e222.. - 1.48628965095479*x1 + 0.813473286151603*x2 - 5.14475451769206E-15*x3
- 0.8134732861516*x4 + 1.48628965095479*x5 - 1.90211303259031*x6
+ 1.98904379073655*x7 - 1.73205080756888*x8 + 1.17557050458495*x9
- 0.415823381635519*x10 =L= 0.01;
e223.. - 1.24502927327524*x1 + 0.53447675215651*x2 + 0.2610523844401*x3
- 1.01507672592141*x4 + 1.60771372123443*x5 - 1.94473984079535*x6
+ 1.97257120307446*x7 - 1.68678289162577*x8 + 1.13281247384967*x9
- 0.398735868834394*x10 =L= 0.01;
e224.. - 0.96961924049268*x1 + 0.243738686810299*x2 + 0.517638090205039*x3
- 1.2036300463041*x4 + 1.71433460140422*x5 - 1.97537668119028*x6
+ 1.94874012957047*x7 - 1.63830408857798*x8 + 1.08927807003005*x9
- 0.38161799075309*x10 =L= 0.01;
e225.. - 0.667613718467544*x1 - 0.0523538966157483*x2 + 0.765366864730179*x3
- 1.37670915138751*x4 + 1.80517056869972*x5 - 1.99383466746626*x6
+ 1.91763946973639*x7 - 1.58670668058247*x8 + 1.0449971294319*x9
- 0.364471050984295*x10 =L= 0.01;
e226.. - 0.347296355333866*x1 - 0.347296355333855*x2 + x3
- 1.53208888623796*x4 + 1.87938524157182*x5 - 2*x6
+ 1.87938524157182*x7 - 1.53208888623796*x8 + x9
- 0.347296355333861*x10 =L= 0.01;
e227.. - 0.0174530709967489*x1 - 0.634609312810185*x2 + 1.21752285801744*x3
- 1.66777164413434*x4 + 1.93629528075622*x5 - 1.99383466746626*x6
+ 1.83412014877025*x7 - 1.47455467362025*x8 + 0.954317520519216*x9
- 0.330095211721355*x10 =L= 0.01;
e228.. 0.312868930080458*x1 - 0.907980999479093*x2 + 1.41421356237309*x3
- 1.78201304837674*x4 + 1.97537668119027*x5 - 1.97537668119028*x6
+ 1.78201304837674*x7 - 1.4142135623731*x8 + 0.907980999479094*x9
- 0.312868930080462*x10 =L= 0.01;
e229.. 0.634609312810185*x1 - 1.16140591142188*x2 + 1.58670668058247*x3
- 1.8733443784968*x4 + 1.99626959684373*x5 - 1.94473984079535*x6
+ 1.72325832088305*x7 - 1.35118041523132*x8 + 0.86102219361659*x9
- 0.295618822259221*x10 =L= 0.01;
e230.. 0.938943125571779*x1 - 1.38931674091799*x2 + 1.73205080756888*x3
- 1.94059145255199*x4 + 1.99878165403819*x5 - 1.90211303259031*x6
+ 1.65807514511008*x7 - 1.28557521937308*x8 + 0.8134732861516*x9
- 0.278346201920131*x10 =L= 0.01;
e231.. 1.21752285801744*x1 - 1.58670668058247*x2 + 1.84775906502257*x3
- 1.98288972274762*x4 + 1.98288972274762*x5 - 1.84775906502257*x6
+ 1.58670668058247*x7 - 1.21752285801744*x8 + 0.765366864730181*x9
- 0.261052384440103*x10 =L= 0.01;
e232.. 1.46270740323834*x1 - 1.74923941427879*x2 + 1.93185165257814*x3
- 1.99969539031278*x4 + 1.94874012957047*x5 - 1.78201304837674*x6
+ 1.50941916044554*x7 - 1.14715287270209*x8 + 0.716735899090601*x9
- 0.243738686810295*x10 =L= 0.01;
e233.. 1.66777164413433*x1 - 1.87334437849679*x2 + 1.98288972274762*x3
- 1.99079239673436*x4 + 1.8966473104124*x5 - 1.70528032870819*x6
+ 1.42650089830836*x7 - 1.07459921669365*x8 + 0.667613718467542*x9
- 0.226406427535814*x10 =L= 0.01;
e234.. 1.8270909152852*x1 - 1.95629520146761*x2 + 2*x3 - 1.95629520146761*x4
+ 1.8270909152852*x5 - 1.6180339887499*x6 + 1.33826121271772*x7 - x8
+ 0.618033988749895*x9 - 0.209056926535307*x10 =L= 0.01;
e235.. 1.93629528075621*x1 - 1.99626959684373*x2 + 1.98288972274762*x3
- 1.8966473104124*x4 + 1.7407113918798*x5 - 1.52081193120006*x6
+ 1.24502927327524*x7 - 0.923497226470069*x8 + 0.568030689407845*x9
- 0.191691505040448*x10 =L= 0.01;
e236.. 1.99238939618349*x1 - 1.99238939618349*x2 + 1.93185165257814*x3
- 1.8126155740733*x4 + 1.63830408857798*x5 - 1.41421356237309*x6
+ 1.14715287270209*x7 - 0.845236523481399*x8 + 0.517638090205041*x9
- 0.174311485495316*x10 =L= 0.01;
e237.. 1.99383466746626*x1 - 1.94473984079535*x2 + 1.84775906502258*x3
- 1.70528032870819*x4 + 1.52081193120006*x5 - 1.29889609666037*x6
+ 1.0449971294319*x7 - 0.765366864730181*x8 + 0.46689072771181*x9
- 0.15691819145569*x10 =L= 0.01;
e238.. 1.94059145255199*x1 - 1.85436770913357*x2 + 1.73205080756888*x3
- 1.57602150721344*x4 + 1.389316740918*x5 - 1.17557050458494*x6
+ 0.938943125571782*x7 - 0.684040286651337*x8 + 0.415823381635518*x9
- 0.13951294748825*x10 =L= 0.01;
e239.. 1.83412014877025*x1 - 1.72325832088305*x2 + 1.58670668058247*x3
- 1.42650089830836*x4 + 1.24502927327524*x5 - 1.0449971294319*x6
+ 0.829386485312479*x7 - 0.601411599008546*x8 + 0.364471050984296*x9
- 0.122097079069714*x10 =L= 0.01;
e240.. 1.67734113589085*x1 - 1.55429192291394*x2 + 1.4142135623731*x3
- 1.25864078209968*x4 + 1.08927807003006*x5 - 0.907980999479096*x6
+ 0.716735899090602*x7 - 0.517638090205043*x8 + 0.312868930080462*x9
- 0.104671912485888*x10 =L= 0.01;
e241.. 1.47455467362025*x1 - 1.35118041523132*x2 + 1.21752285801744*x3
- 1.07459921669365*x4 + 0.923497226470066*x5 - 0.765366864730181*x6
+ 0.601411599008545*x7 - 0.432879227876206*x8 + 0.261052384440103*x9
- 0.087238774730672*x10 =L= 0.01;
e242.. 1.23132295065132*x1 - 1.1183858069415*x2 + x3 - 0.87674229357816*x4
+ 0.749213186831824*x5 - 0.618033988749896*x6 + 0.483843791199338*x7
- 0.347296355333861*x8 + 0.209056926535308*x9 - 0.0697989934050022*x10
=L= 0.01;
e243.. 0.954317520519214*x1 - 0.861022193616587*x2 + 0.765366864730182*x3
- 0.667613718467544*x4 + 0.568030689407846*x5 - 0.466890727711811*x6
+ 0.364471050984294*x7 - 0.261052384440103*x8 + 0.156918191455689*x9
- 0.0523538966157463*x10 =L= 0.01;
e244.. 0.651136308914314*x1 - 0.584743409445478*x2 + 0.517638090205043*x3
- 0.449902108687735*x4 + 0.381617990753092*x5 - 0.312868930080465*x6
+ 0.243738686810295*x7 - 0.174311485495317*x8 + 0.104671912485889*x9
- 0.0349048128745672*x10 =L= 0.01;
e245.. 0.330095211721351*x1 - 0.295618822259219*x2 + 0.261052384440103*x3
- 0.226406427535815*x4 + 0.191691505040444*x5 - 0.156918191455688*x6
+ 0.122097079069714*x7 - 0.0872387747306707*x8 + 0.052353896615747*x9
- 0.0174530709967478*x10 =L= 0.01;
e246.. 5.87954259718047E-15*x1 + 1.47081412025E-15*x2
+ 5.38968387752153E-15*x3 + 1.96067283990894E-15*x4
+ 4.89982515786259E-15*x5 - 1.10218211923262E-15*x6
+ 8.57252759403147E-16*x7 - 6.12323399573677E-16*x8
+ 3.67394039744206E-16*x9 - 1.22464679914735E-16*x10 =L= 0.01;
e247.. x1 + 0.999999999999995*x2 - 2*x3 + x4 + 0.999999999999998*x5 - 2*x6
+ x7 + x8 - 2*x9 + x10 =L= 0.01;
e248.. 0.700414762518935*x1 + 1.24502927327524*x2 - 1.98288972274762*x3
+ 0.797498137850492*x4 + 1.16140591142188*x5 - 1.99383466746626*x6
+ 0.892395626219618*x7 + 1.07459921669365*x8 - 1.99931464995111*x9
+ 0.984847120206934*x10 =L= 0.01;
e249.. 0.381617990753092*x1 + 1.46270740323834*x2 - 1.93185165257814*x3
+ 0.584743409445477*x4 + 1.31211805798101*x5 - 1.97537668119028*x6
+ 0.781462256978548*x7 + 1.14715287270209*x8 - 1.99725906950915*x9
+ 0.969619240492674*x10 =L= 0.01;
e250.. 0.0523538966157446*x1 + 1.64825237724403*x2 - 1.84775906502257*x3
+ 0.364471050984295*x4 + 1.45074874202458*x5 - 1.94473984079535*x6
+ 0.667613718467541*x7 + 1.21752285801744*x8 - 1.99383466746626*x9
+ 0.954317520519217*x10 =L= 0.01;
e251.. - 0.27834620192013*x1 + 1.79758809259833*x2 - 1.73205080756888*x3
+ 0.139512947488254*x4 + 1.57602150721344*x5 - 1.90211303259031*x6
+ 0.551274711634*x7 + 1.28557521937308*x8 - 1.98904379073655*x9
+ 0.938943125571782*x10 =L= 0.01;
e252.. - 0.601411599008549*x1 + 1.90743390149646*x2 - 1.58670668058247*x3
- 0.0872387747306726*x4 + 1.68678289162577*x5 - 1.84775906502257*x6
+ 0.432879227876204*x7 + 1.35118041523132*x8 - 1.98288972274762*x9
+ 0.923497226470068*x10 =L= 0.01;
e253.. - 0.907980999479094*x1 + 1.97537668119027*x2 - 1.41421356237309*x3
- 0.312868930080459*x4 + 1.78201304837674*x5 - 1.78201304837674*x6
+ 0.312868930080462*x7 + 1.41421356237309*x8 - 1.97537668119028*x9
+ 0.907980999479094*x10 =L= 0.01;
e254.. - 1.18964557350269*x1 + 1.99992384612834*x2 - 1.21752285801744*x3
- 0.534476752156514*x4 + 1.86083513596405*x5 - 1.70528032870818*x6
+ 0.191691505040447*x7 + 1.47455467362025*x8 - 1.96650981512791*x9
+ 0.892395626219617*x10 =L= 0.01;
e255.. - 1.4386796006773*x1 + 1.98053613748314*x2 - x3 - 0.749213186831825*x4
+ 1.92252339187664*x5 - 1.6180339887499*x6 + 0.0697989934050018*x7
+ 1.53208888623796*x8 - 1.95629520146761*x9 + 0.876742293578155*x10
=L= 0.01;
e256.. - 1.64825237724403*x1 + 1.91763946973639*x2 - 0.765366864730182*x3
- 0.954317520519214*x4 + 1.96650981512791*x5 - 1.52081193120006*x6
- 0.0523538966157442*x7 + 1.58670668058247*x8 - 1.94473984079535*x9
+ 0.86102219361659*x10 =L= 0.01;
e257.. - 1.8126155740733*x1 + 1.8126155740733*x2 - 0.517638090205042*x3
- 1.14715287270209*x4 + 1.99238939618349*x5 - 1.41421356237309*x6
- 0.174311485495316*x7 + 1.63830408857798*x8 - 1.93185165257814*x9
+ 0.845236523481399*x10 =L= 0.01;
e258.. - 1.92726090641725*x1 + 1.66777164413434*x2 - 0.261052384440102*x3
- 1.32524009643147*x4 + 1.99992384612834*x5 - 1.29889609666037*x6
- 0.29561882225922*x7 + 1.68678289162577*x8 - 1.91763946973639*x9
+ 0.829386485312478*x10 =L= 0.01;
e259.. - 1.98904379073655*x1 + 1.48628965095479*x2 + 2.20560219973841E-15*x3
- 1.48628965095479*x4 + 1.98904379073655*x5 - 1.17557050458495*x6
- 0.41582338163552*x7 + 1.73205080756888*x8 - 1.90211303259031*x9
+ 0.8134732861516*x10 =L= 0.01;
e260.. - 1.99626959684373*x1 + 1.27215644055553*x2 + 0.2610523844401*x3
- 1.62823103671264*x4 + 1.95984940924166*x5 - 1.0449971294319*x6
- 0.534476752156511*x7 + 1.77402166635644*x8 - 1.88528298218436*x9
+ 0.797498137850493*x10 =L= 0.01;
e261.. - 1.94874012957047*x1 + 1.0300761498201*x2 + 0.51763809020504*x3
- 1.74923941427879*x4 + 1.91260951192607*x5 - 0.907980999479093*x6
- 0.651136308914314*x7 + 1.8126155740733*x8 - 1.8671608529944*x9
+ 0.781462256978547*x10 =L= 0.01;
e262.. - 1.84775906502258*x1 + 0.765366864730182*x2 + 0.765366864730179*x3
- 1.84775906502257*x4 + 1.84775906502257*x5 - 0.765366864730181*x6
- 0.76536686473018*x7 + 1.84775906502257*x8 - 1.84775906502257*x9
+ 0.76536686473018*x10 =L= 0.01;
e263.. - 1.69609619231285*x1 + 0.483843791199332*x2 + x3 - 1.92252339187664*x4
+ 1.76589518571785*x5 - 0.618033988749892*x6 - 0.876742293578155*x7
+ 1.87938524157182*x8 - 1.8270909152852*x9 + 0.749213186831824*x10
=L= 0.01;
e264.. - 1.49791144157801*x1 + 0.191691505040452*x2 + 1.21752285801744*x3
- 1.97257120307446*x4 + 1.66777164413434*x5 - 0.466890727711811*x6
- 0.984847120206934*x7 + 1.90743390149645*x8 - 1.80517056869972*x9
+ 0.733002453448595*x10 =L= 0.01;
e265.. - 1.25864078209968*x1 - 0.104671912485883*x2 + 1.41421356237309*x3
- 1.99725906950915*x4 + 1.55429192291394*x5 - 0.312868930080464*x6
- 1.08927807003005*x7 + 1.93185165257814*x8 - 1.78201304837674*x9
+ 0.716735899090601*x10 =L= 0.01;
e266.. - 0.984847120206936*x1 - 0.398735868834396*x2 + 1.58670668058247*x3
- 1.99626959684373*x4 + 1.42650089830836*x5 - 0.156918191455688*x6
- 1.18964557350268*x7 + 1.95259201423987*x8 - 1.75763422532393*x9
+ 0.700414762518935*x10 =L= 0.01;
e267.. - 0.684040286651342*x1 - 0.684040286651332*x2 + 1.73205080756888*x3
- 1.96961550602442*x4 + 1.28557521937308*x5 - 8.57252759403147E-16*x6
- 1.28557521937308*x7 + 1.96961550602442*x8 - 1.73205080756888*x9
+ 0.684040286651338*x10 =L= 0.01;
e268.. - 0.364471050984295*x1 - 0.954317520519217*x2 + 1.84775906502257*x3
- 1.91763946973639*x4 + 1.13281247384967*x5 + 0.15691819145569*x6
- 1.37670915138751*x7 + 1.98288972274762*x8 - 1.70528032870818*x9
+ 0.667613718467542*x10 =L= 0.01;
e269.. - 0.0349048128745702*x1 - 1.2036300463041*x2 + 1.93185165257814*x3
- 1.84100970690488*x4 + 0.969619240492676*x5 + 0.312868930080459*x6
- 1.46270740323834*x7 + 1.99238939618349*x8 - 1.67734113589085*x9
+ 0.651136308914314*x10 =L= 0.01;
e270.. 0.295618822259222*x1 - 1.42650089830836*x2 + 1.98288972274762*x3
- 1.7407113918798*x4 + 0.797498137850492*x5 + 0.466890727711813*x6
- 1.54324916677544*x7 + 1.99809644316372*x8 - 1.64825237724403*x9
+ 0.634609312810184*x10 =L= 0.01;
e271.. 0.618033988749893*x1 - 1.61803398874989*x2 + 2*x3
- 1.6180339887499*x4 + 0.618033988749896*x5 + 0.618033988749894*x6
- 1.61803398874989*x7 + 2*x8 - 1.61803398874989*x9
+ 0.618033988749895*x10 =L= 0.01;
e272.. 0.92349722647007*x1 - 1.77402166635645*x2 + 1.98288972274762*x3
- 1.47455467362025*x4 + 0.432879227876205*x5 + 0.76536686473018*x6
- 1.68678289162577*x7 + 1.99809644316372*x8 - 1.58670668058247*x9
+ 0.601411599008546*x10 =L= 0.01;
e273.. 1.2036300463041*x1 - 1.89103715119863*x2 + 1.93185165257814*x3
- 1.31211805798102*x4 + 0.243738686810295*x5 + 0.907980999479094*x6
- 1.74923941427879*x7 + 1.99238939618349*x8 - 1.55429192291394*x9
+ 0.584743409445474*x10 =L= 0.01;
e274.. 1.45074874202457*x1 - 1.96650981512791*x2 + 1.84775906502258*x3
- 1.13281247384967*x4 + 0.0523538966157477*x5 + 1.0449971294319*x6
- 1.80517056869972*x7 + 1.98288972274762*x8 - 1.52081193120006*x9
+ 0.568030689407846*x10 =L= 0.01;
e275.. 1.65807514511008*x1 - 1.99878165403819*x2 + 1.73205080756888*x3
- 0.938943125571782*x4 - 0.139512947488251*x5 + 1.17557050458495*x6
- 1.85436770913358*x7 + 1.96961550602442*x8 - 1.48628965095479*x9
+ 0.551274711633998*x10 =L= 0.01;
e276.. 1.81992254175309*x1 - 1.98714371135318*x2 + 1.58670668058247*x3
- 0.733002453448599*x4 - 0.330095211721355*x5 + 1.29889609666036*x6
- 1.8966473104124*x7 + 1.95259201423987*x8 - 1.45074874202458*x9
+ 0.534476752156514*x10 =L= 0.01;
e277.. 1.93185165257814*x1 - 1.93185165257814*x2 + 1.41421356237309*x3
- 0.517638090205042*x4 - 0.517638090205043*x5 + 1.4142135623731*x6
- 1.93185165257814*x7 + 1.93185165257814*x8 - 1.4142135623731*x9
+ 0.517638090205041*x10 =L= 0.01;
e278.. 1.99079239673436*x1 - 1.83412014877025*x2 + 1.21752285801745*x3
- 0.295618822259225*x4 - 0.700414762518932*x5 + 1.52081193120006*x6
- 1.95984940924166*x7 + 1.90743390149645*x8 - 1.37670915138751*x9
+ 0.500760008108883*x10 =L= 0.01;
e279.. 1.99512810051965*x1 - 1.69609619231285*x2 + 0.999999999999997*x3
- 0.0697989934050025*x4 - 0.876742293578157*x5 + 1.61803398874989*x6
- 1.98053613748314*x7 + 1.87938524157182*x8 - 1.33826121271772*x9
+ 0.483843791199335*x10 =L= 0.01;
e280.. 1.94473984079535*x1 - 1.52081193120006*x2 + 0.765366864730182*x3
+ 0.156918191455686*x4 - 1.0449971294319*x5 + 1.70528032870818*x6
- 1.99383466746626*x7 + 1.84775906502257*x8 - 1.29889609666037*x9
+ 0.466890727711811*x10 =L= 0.01;
e281.. 1.84100970690488*x1 - 1.31211805798101*x2 + 0.517638090205042*x3
+ 0.381617990753089*x4 - 1.2036300463041*x5 + 1.78201304837674*x6
- 1.99969539031278*x7 + 1.8126155740733*x8 - 1.25864078209967*x9
+ 0.44990210868773*x10 =L= 0.01;
e282.. 1.68678289162577*x1 - 1.07459921669365*x2 + 0.261052384440103*x3
+ 0.601411599008543*x4 - 1.35118041523132*x5 + 1.84775906502257*x6
- 1.99809644316372*x7 + 1.77402166635644*x8 - 1.21752285801744*x9
+ 0.432879227876206*x10 =L= 0.01;
e283.. 1.48628965095479*x1 - 0.813473286151603*x2 + 5.14475451769206E-15*x3
+ 0.8134732861516*x4 - 1.48628965095479*x5 + 1.90211303259031*x6
- 1.98904379073655*x7 + 1.73205080756888*x8 - 1.17557050458495*x9
+ 0.415823381635519*x10 =L= 0.01;
e284.. 1.24502927327524*x1 - 0.53447675215651*x2 - 0.2610523844401*x3
+ 1.01507672592141*x4 - 1.60771372123443*x5 + 1.94473984079535*x6
- 1.97257120307446*x7 + 1.68678289162577*x8 - 1.13281247384967*x9
+ 0.398735868834394*x10 =L= 0.01;
e285.. 0.96961924049268*x1 - 0.243738686810299*x2 - 0.517638090205039*x3
+ 1.2036300463041*x4 - 1.71433460140422*x5 + 1.97537668119028*x6
- 1.94874012957047*x7 + 1.63830408857798*x8 - 1.08927807003005*x9
+ 0.38161799075309*x10 =L= 0.01;
e286.. 0.667613718467544*x1 + 0.0523538966157483*x2 - 0.765366864730179*x3
+ 1.37670915138751*x4 - 1.80517056869972*x5 + 1.99383466746626*x6
- 1.91763946973639*x7 + 1.58670668058247*x8 - 1.0449971294319*x9
+ 0.364471050984295*x10 =L= 0.01;
e287.. 0.347296355333866*x1 + 0.347296355333855*x2 - x3
+ 1.53208888623796*x4 - 1.87938524157182*x5 + 2*x6
- 1.87938524157182*x7 + 1.53208888623796*x8 - x9
+ 0.347296355333861*x10 =L= 0.01;
e288.. 0.0174530709967489*x1 + 0.634609312810185*x2 - 1.21752285801744*x3
+ 1.66777164413434*x4 - 1.93629528075622*x5 + 1.99383466746626*x6
- 1.83412014877025*x7 + 1.47455467362025*x8 - 0.954317520519216*x9
+ 0.330095211721355*x10 =L= 0.01;
e289.. - 0.312868930080458*x1 + 0.907980999479093*x2 - 1.41421356237309*x3
+ 1.78201304837674*x4 - 1.97537668119027*x5 + 1.97537668119028*x6
- 1.78201304837674*x7 + 1.4142135623731*x8 - 0.907980999479094*x9
+ 0.312868930080462*x10 =L= 0.01;
e290.. - 0.634609312810185*x1 + 1.16140591142188*x2 - 1.58670668058247*x3
+ 1.8733443784968*x4 - 1.99626959684373*x5 + 1.94473984079535*x6
- 1.72325832088305*x7 + 1.35118041523132*x8 - 0.86102219361659*x9
+ 0.295618822259221*x10 =L= 0.01;
e291.. - 0.938943125571779*x1 + 1.38931674091799*x2 - 1.73205080756888*x3
+ 1.94059145255199*x4 - 1.99878165403819*x5 + 1.90211303259031*x6
- 1.65807514511008*x7 + 1.28557521937308*x8 - 0.8134732861516*x9
+ 0.278346201920131*x10 =L= 0.01;
e292.. - 1.21752285801744*x1 + 1.58670668058247*x2 - 1.84775906502257*x3
+ 1.98288972274762*x4 - 1.98288972274762*x5 + 1.84775906502257*x6
- 1.58670668058247*x7 + 1.21752285801744*x8 - 0.765366864730181*x9
+ 0.261052384440103*x10 =L= 0.01;
e293.. - 1.46270740323834*x1 + 1.74923941427879*x2 - 1.93185165257814*x3
+ 1.99969539031278*x4 - 1.94874012957047*x5 + 1.78201304837674*x6
- 1.50941916044554*x7 + 1.14715287270209*x8 - 0.716735899090601*x9
+ 0.243738686810295*x10 =L= 0.01;
e294.. - 1.66777164413433*x1 + 1.87334437849679*x2 - 1.98288972274762*x3
+ 1.99079239673436*x4 - 1.8966473104124*x5 + 1.70528032870819*x6
- 1.42650089830836*x7 + 1.07459921669365*x8 - 0.667613718467542*x9
+ 0.226406427535814*x10 =L= 0.01;
e295.. - 1.8270909152852*x1 + 1.95629520146761*x2 - 2*x3 + 1.95629520146761*x4
- 1.8270909152852*x5 + 1.6180339887499*x6 - 1.33826121271772*x7 + x8
- 0.618033988749895*x9 + 0.209056926535307*x10 =L= 0.01;
e296.. - 1.93629528075621*x1 + 1.99626959684373*x2 - 1.98288972274762*x3
+ 1.8966473104124*x4 - 1.7407113918798*x5 + 1.52081193120006*x6
- 1.24502927327524*x7 + 0.923497226470069*x8 - 0.568030689407845*x9
+ 0.191691505040448*x10 =L= 0.01;
e297.. - 1.99238939618349*x1 + 1.99238939618349*x2 - 1.93185165257814*x3
+ 1.8126155740733*x4 - 1.63830408857798*x5 + 1.41421356237309*x6
- 1.14715287270209*x7 + 0.845236523481399*x8 - 0.517638090205041*x9
+ 0.174311485495316*x10 =L= 0.01;
e298.. - 1.99383466746626*x1 + 1.94473984079535*x2 - 1.84775906502258*x3
+ 1.70528032870819*x4 - 1.52081193120006*x5 + 1.29889609666037*x6
- 1.0449971294319*x7 + 0.765366864730181*x8 - 0.46689072771181*x9
+ 0.15691819145569*x10 =L= 0.01;
e299.. - 1.94059145255199*x1 + 1.85436770913357*x2 - 1.73205080756888*x3
+ 1.57602150721344*x4 - 1.389316740918*x5 + 1.17557050458494*x6
- 0.938943125571782*x7 + 0.684040286651337*x8 - 0.415823381635518*x9
+ 0.13951294748825*x10 =L= 0.01;
e300.. - 1.83412014877025*x1 + 1.72325832088305*x2 - 1.58670668058247*x3
+ 1.42650089830836*x4 - 1.24502927327524*x5 + 1.0449971294319*x6
- 0.829386485312479*x7 + 0.601411599008546*x8 - 0.364471050984296*x9
+ 0.122097079069714*x10 =L= 0.01;
e301.. - 1.67734113589085*x1 + 1.55429192291394*x2 - 1.4142135623731*x3
+ 1.25864078209968*x4 - 1.08927807003006*x5 + 0.907980999479096*x6
- 0.716735899090602*x7 + 0.517638090205043*x8 - 0.312868930080462*x9
+ 0.104671912485888*x10 =L= 0.01;
e302.. - 1.47455467362025*x1 + 1.35118041523132*x2 - 1.21752285801744*x3
+ 1.07459921669365*x4 - 0.923497226470066*x5 + 0.765366864730181*x6
- 0.601411599008545*x7 + 0.432879227876206*x8 - 0.261052384440103*x9
+ 0.087238774730672*x10 =L= 0.01;
e303.. - 1.23132295065132*x1 + 1.1183858069415*x2 - x3 + 0.87674229357816*x4
- 0.749213186831824*x5 + 0.618033988749896*x6 - 0.483843791199338*x7
+ 0.347296355333861*x8 - 0.209056926535308*x9 + 0.0697989934050022*x10
=L= 0.01;
e304.. - 0.954317520519214*x1 + 0.861022193616587*x2 - 0.765366864730182*x3
+ 0.667613718467544*x4 - 0.568030689407846*x5 + 0.466890727711811*x6
- 0.364471050984294*x7 + 0.261052384440103*x8 - 0.156918191455689*x9
+ 0.0523538966157463*x10 =L= 0.01;
e305.. - 0.651136308914314*x1 + 0.584743409445478*x2 - 0.517638090205043*x3
+ 0.449902108687735*x4 - 0.381617990753092*x5 + 0.312868930080465*x6
- 0.243738686810295*x7 + 0.174311485495317*x8 - 0.104671912485889*x9
+ 0.0349048128745672*x10 =L= 0.01;
e306.. - 0.330095211721351*x1 + 0.295618822259219*x2 - 0.261052384440103*x3
+ 0.226406427535815*x4 - 0.191691505040444*x5 + 0.156918191455688*x6
- 0.122097079069714*x7 + 0.0872387747306707*x8 - 0.052353896615747*x9
+ 0.0174530709967478*x10 =L= 0.01;
e307.. - 5.87954259718047E-15*x1 - 1.47081412025E-15*x2
- 5.38968387752153E-15*x3 - 1.96067283990894E-15*x4
- 4.89982515786259E-15*x5 + 1.10218211923262E-15*x6
- 8.57252759403147E-16*x7 + 6.12323399573677E-16*x8
- 3.67394039744206E-16*x9 + 1.22464679914735E-16*x10 =L= 0.01;
* set non-default bounds
objvar.lo = 1;
x15.fx = 2;
Model m / all /;
m.limrow=0; m.limcol=0;
m.tolproj=0.0;
$if NOT '%gams.u1%' == '' $include '%gams.u1%'
$if not set NLP $set NLP NLP
Solve m using %NLP% minimizing objvar;
Last updated: 2025-08-07 Git hash: e62cedfc