fir_socp_80.gms

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fir_socp_80.gms:

References:

Lobo, M S, Vandenberghe, L, Boyd, S, and Lebret, H, Applications of Second Order Cone Programming. Linear Algebra and its Applications, Special Issue on Linear Algebra in Control, Signals and Image Processing. 284 (November, 1998).
R. Vanderbei, Nonlinear Optimization Models (AMPL), See http://www.princeton.edu/~rvdb/ampl/nlmodels/.
Original source: GAMS Model fir_socp.gms from http://www.princeton.edu/~rvdb/ampl/nlmodels/firfilter/fir_socp.mod

Point:

* LP written by GAMS Convert at 10/14/03 16:43:14 * * Equation counts * Total E G L N X C * 307 2 0 304 0 0 1 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 45 45 0 0 0 0 0 0 * FX 1 1 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 12351 12351 0 0 * * Solve m using LP minimizing objvar; Variables x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18,x19 ,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36 ,x37,x38,x39,x40,objvar,x42,x43,x44,x45; Positive Variables x44; 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 + 2*x11 + 2*x12 + 2*x13 + 2*x14 + 2*x15 + 2*x16 + 2*x17 + 2*x18 + 2*x19 + 2*x20 + 2*x21 + 2*x22 + 2*x23 + 2*x24 + 2*x25 + 2*x26 + 2*x27 + 2*x28 + 2*x29 + 2*x30 + 2*x31 + 2*x32 + 2*x33 + 2*x34 + 2*x35 + 2*x36 + 2*x37 + 2*x38 + 2*x39 + 2*x40 - objvar =L= 0; e2.. 1.54324916677544*x1 + 1.56521631370483*x2 + 1.58670668058247*x3 + 1.60771372123443*x4 + 1.62823103671264*x5 + 1.64825237724403*x6 + 1.66777164413434*x7 + 1.68678289162577*x8 + 1.70528032870818*x9 + 1.72325832088305*x10 + 1.7407113918798*x11 + 1.75763422532393*x12 + 1.77402166635644*x13 + 1.78986872320405*x14 + 1.80517056869972*x15 + 1.81992254175309*x16 + 1.83412014877025*x17 + 1.84775906502257*x18 + 1.86083513596405*x19 + 1.8733443784968*x20 + 1.88528298218436*x21 + 1.8966473104124*x22 + 1.90743390149645*x23 + 1.91763946973639*x24 + 1.92726090641725*x25 + 1.93629528075622*x26 + 1.94473984079535*x27 + 1.95259201423987*x28 + 1.95984940924166*x29 + 1.96650981512791*x30 + 1.97257120307446*x31 + 1.97803172672383*x32 + 1.98288972274762*x33 + 1.98714371135317*x34 + 1.99079239673436*x35 + 1.99383466746626*x36 + 1.99626959684373*x37 + 1.99809644316372*x38 + 1.99931464995111*x39 + 1.99992384612834*x40 - objvar =L= 0; e3.. 0.38161799075309*x1 + 0.44990210868773*x2 + 0.517638090205041*x3 + 0.584743409445474*x4 + 0.651136308914314*x5 + 0.716735899090601*x6 + 0.781462256978547*x7 + 0.845236523481399*x8 + 0.907980999479094*x9 + 0.969619240492674*x10 + 1.03007614982011*x11 + 1.08927807003005*x12 + 1.14715287270209*x13 + 1.2036300463041*x14 + 1.25864078209968*x15 + 1.31211805798101*x16 + 1.363996720125*x17 + 1.4142135623731*x18 + 1.46270740323834*x19 + 1.50941916044554*x20 + 1.55429192291394*x21 + 1.59727102009459*x22 + 1.63830408857798*x23 + 1.67734113589085*x24 + 1.71433460140422*x25 + 1.74923941427879*x26 + 1.78201304837674*x27 + 1.8126155740733*x28 + 1.84100970690488*x29 + 1.8671608529944*x30 + 1.89103715119863*x31 + 1.91260951192607*x32 + 1.93185165257814*x33 + 1.94874012957047*x34 + 1.96325436689533*x35 + 1.97537668119028*x36 + 1.98509230328264*x37 + 1.99238939618349*x38 + 1.99725906950915*x39 + 1.99969539031278*x40 - objvar =L= 0; e4.. - 0.954317520519217*x1 - 0.861022193616591*x2 - 0.76536686473018*x3 - 0.667613718467542*x4 - 0.568030689407845*x5 - 0.466890727711811*x6 - 0.364471050984295*x7 - 0.261052384440103*x8 - 0.15691819145569*x9 - 0.0523538966157465*x10 + 0.0523538966157463*x11 + 0.15691819145569*x12 + 0.261052384440103*x13 + 0.364471050984295*x14 + 0.466890727711811*x15 + 0.568030689407845*x16 + 0.667613718467542*x17 + 0.76536686473018*x18 + 0.86102219361659*x19 + 0.954317520519217*x20 + 1.0449971294319*x21 + 1.13281247384967*x22 + 1.21752285801744*x23 + 1.29889609666037*x24 + 1.37670915138751*x25 + 1.45074874202458*x26 + 1.52081193120006*x27 + 1.58670668058247*x28 + 1.64825237724403*x29 + 1.70528032870818*x30 + 1.75763422532393*x31 + 1.80517056869972*x32 + 1.84775906502257*x33 + 1.88528298218436*x34 + 1.91763946973639*x35 + 1.94473984079535*x36 + 1.96650981512791*x37 + 1.98288972274762*x38 + 1.99383466746626*x39 + 1.99931464995111*x40 - objvar =L= 0; e5.. - 1.85436770913357*x1 - 1.79758809259833*x2 - 1.73205080756888*x3 - 1.65807514511008*x4 - 1.57602150721344*x5 - 1.48628965095479*x6 - 1.38931674091799*x7 - 1.28557521937308*x8 - 1.17557050458495*x9 - 1.05983852846641*x10 - 0.938943125571782*x11 - 0.813473286151601*x12 - 0.684040286651337*x13 - 0.551274711633998*x14 - 0.415823381635519*x15 - 0.278346201920131*x16 - 0.139512947488251*x17 + 1.22460635382238E-16*x18 + 0.13951294748825*x19 + 0.278346201920131*x20 + 0.415823381635519*x21 + 0.551274711633998*x22 + 0.684040286651338*x23 + 0.8134732861516*x24 + 0.938943125571782*x25 + 1.05983852846641*x26 + 1.17557050458495*x27 + 1.28557521937308*x28 + 1.38931674091799*x29 + 1.48628965095479*x30 + 1.57602150721344*x31 + 1.65807514511008*x32 + 1.73205080756888*x33 + 1.79758809259833*x34 + 1.85436770913357*x35 + 1.90211303259031*x36 + 1.94059145255199*x37 + 1.96961550602442*x38 + 1.98904379073655*x39 + 1.99878165403819*x40 - objvar =L= 0; e6.. - 1.90743390149645*x1 - 1.95259201423987*x2 - 1.98288972274762*x3 - 1.99809644316372*x4 - 1.99809644316372*x5 - 1.98288972274762*x6 - 1.95259201423987*x7 - 1.90743390149645*x8 - 1.84775906502257*x9 - 1.77402166635644*x10 - 1.68678289162577*x11 - 1.58670668058247*x12 - 1.47455467362025*x13 - 1.35118041523132*x14 - 1.21752285801744*x15 - 1.07459921669365*x16 - 0.923497226470067*x17 - 0.765366864730179*x18 - 0.601411599008546*x19 - 0.432879227876206*x20 - 0.261052384440103*x21 - 0.0872387747306718*x22 + 0.087238774730672*x23 + 0.261052384440103*x24 + 0.432879227876206*x25 + 0.601411599008547*x26 + 0.76536686473018*x27 + 0.923497226470068*x28 + 1.07459921669365*x29 + 1.21752285801744*x30 + 1.35118041523132*x31 + 1.47455467362025*x32 + 1.58670668058247*x33 + 1.68678289162577*x34 + 1.77402166635644*x35 + 1.84775906502257*x36 + 1.90743390149645*x37 + 1.95259201423987*x38 + 1.98288972274762*x39 + 1.99809644316372*x40 - objvar =L= 0; e7.. - 1.08927807003005*x1 - 1.25864078209967*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 - 1.99725906950915*x11 - 1.97537668119028*x12 - 1.93185165257814*x13 - 1.8671608529944*x14 - 1.78201304837674*x15 - 1.67734113589085*x16 - 1.55429192291394*x17 - 1.41421356237309*x18 - 1.25864078209968*x19 - 1.08927807003005*x20 - 0.907980999479093*x21 - 0.716735899090601*x22 - 0.517638090205042*x23 - 0.312868930080462*x24 - 0.104671912485888*x25 + 0.104671912485887*x26 + 0.312868930080461*x27 + 0.517638090205041*x28 + 0.7167358990906*x29 + 0.907980999479094*x30 + 1.08927807003005*x31 + 1.25864078209968*x32 + 1.41421356237309*x33 + 1.55429192291394*x34 + 1.67734113589085*x35 + 1.78201304837674*x36 + 1.8671608529944*x37 + 1.93185165257814*x38 + 1.97537668119028*x39 + 1.99725906950915*x40 - objvar =L= 0; e8.. 0.226406427535813*x1 - 0.0174530709967472*x2 - 0.261052384440103*x3 - 0.500760008108882*x4 - 0.733002453448594*x5 - 0.954317520519217*x6 - 1.16140591142188*x7 - 1.35118041523132*x8 - 1.52081193120006*x9 - 1.66777164413434*x10 - 1.78986872320405*x11 - 1.88528298218436*x12 - 1.95259201423987*x13 - 1.99079239673436*x14 - 1.99931464995111*x15 - 1.97803172672383*x16 - 1.92726090641725*x17 - 1.84775906502257*x18 - 1.7407113918798*x19 - 1.60771372123443*x20 - 1.45074874202458*x21 - 1.27215644055553*x22 - 1.07459921669365*x23 - 0.861022193616591*x24 - 0.634609312810184*x25 - 0.398735868834395*x26 - 0.15691819145569*x27 + 0.087238774730672*x28 + 0.330095211721355*x29 + 0.568030689407845*x30 + 0.797498137850493*x31 + 1.01507672592141*x32 + 1.21752285801744*x33 + 1.4018185285997*x34 + 1.56521631370483*x35 + 1.70528032870818*x36 + 1.81992254175309*x37 + 1.90743390149645*x38 + 1.96650981512791*x39 + 1.99626959684373*x40 - objvar =L= 0; e9.. 1.4386796006773*x1 + 1.23132295065132*x2 + x3 + 0.749213186831824*x4 + 0.483843791199335*x5 + 0.209056926535306*x6 - 0.0697989934050015*x7 - 0.347296355333861*x8 - 0.618033988749895*x9 - 0.876742293578155*x10 - 1.11838580694149*x11 - 1.33826121271772*x12 - 1.53208888623796*x13 - 1.69609619231285*x14 - 1.8270909152852*x15 - 1.92252339187664*x16 - 1.98053613748314*x17 - 2*x18 - 1.98053613748314*x19 - 1.92252339187664*x20 - 1.8270909152852*x21 - 1.69609619231285*x22 - 1.53208888623796*x23 - 1.33826121271772*x24 - 1.11838580694149*x25 - 0.876742293578155*x26 - 0.618033988749895*x27 - 0.347296355333861*x28 - 0.0697989934050019*x29 + 0.209056926535307*x30 + 0.483843791199335*x31 + 0.749213186831824*x32 + x33 + 1.23132295065132*x34 + 1.4386796006773*x35 + 1.61803398874989*x36 + 1.76589518571785*x37 + 1.87938524157182*x38 + 1.95629520146761*x39 + 1.99512810051965*x40 - objvar =L= 0; e10.. 1.99383466746626*x1 + 1.94473984079535*x2 + 1.84775906502257*x3 + 1.70528032870818*x4 + 1.52081193120006*x5 + 1.29889609666037*x6 + 1.0449971294319*x7 + 0.76536686473018*x8 + 0.46689072771181*x9 + 0.15691819145569*x10 - 0.156918191455691*x11 - 0.46689072771181*x12 - 0.765366864730181*x13 - 1.0449971294319*x14 - 1.29889609666037*x15 - 1.52081193120006*x16 - 1.70528032870818*x17 - 1.84775906502257*x18 - 1.94473984079535*x19 - 1.99383466746626*x20 - 1.99383466746626*x21 - 1.94473984079535*x22 - 1.84775906502257*x23 - 1.70528032870818*x24 - 1.52081193120006*x25 - 1.29889609666037*x26 - 1.0449971294319*x27 - 0.765366864730179*x28 - 0.466890727711811*x29 - 0.15691819145569*x30 + 0.15691819145569*x31 + 0.466890727711811*x32 + 0.76536686473018*x33 + 1.0449971294319*x34 + 1.29889609666037*x35 + 1.52081193120006*x36 + 1.70528032870818*x37 + 1.84775906502257*x38 + 1.94473984079535*x39 + 1.99383466746626*x40 - objvar =L= 0; 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e87.. - 1.84100970690488*x1 + 0.651136308914309*x2 + 1.93185165257814*x3 - 0.381617990753081*x4 - 1.98509230328265*x5 + 0.104671912485889*x6 + 1.99969539031278*x7 + 0.174311485495319*x8 - 1.97537668119027*x9 - 0.449902108687737*x10 + 1.91260951192607*x11 + 0.716735899090598*x12 - 1.8126155740733*x13 - 0.969619240492675*x14 + 1.67734113589085*x15 + 1.2036300463041*x16 - 1.50941916044554*x17 - 1.4142135623731*x18 + 1.31211805798102*x19 + 1.59727102009459*x20 - 1.08927807003005*x21 - 1.74923941427879*x22 + 0.8452365234814*x23 + 1.8671608529944*x24 - 0.58474340944547*x25 - 1.94874012957047*x26 + 0.312868930080462*x27 + 1.99238939618349*x28 - 0.0349048128745626*x29 - 1.99725906950915*x30 - 0.243738686810296*x31 + 1.96325436689533*x32 + 0.517638090205044*x33 - 1.89103715119863*x34 - 0.781462256978547*x35 + 1.78201304837674*x36 + 1.03007614982011*x37 - 1.63830408857798*x38 - 1.25864078209968*x39 + 1.46270740323834*x40 - objvar =L= 0; e88.. - 1.91763946973639*x1 - 0.667613718467538*x2 + 1.84775906502258*x3 + 0.861022193616581*x4 - 1.75763422532394*x5 - 1.04499712943188*x6 + 1.64825237724403*x7 + 1.21752285801744*x8 - 1.52081193120007*x9 - 1.3767091513875*x10 + 1.37670915138751*x11 + 1.52081193120006*x12 - 1.21752285801745*x13 - 1.64825237724403*x14 + 1.04499712943191*x15 + 1.75763422532393*x16 - 0.861022193616594*x17 - 1.84775906502257*x18 + 0.667613718467551*x19 + 1.91763946973638*x20 - 0.466890727711819*x21 - 1.96650981512791*x22 + 0.26105238444011*x23 + 1.99383466746626*x24 - 0.052353896615752*x25 - 1.99931464995111*x26 - 0.156918191455686*x27 + 1.98288972274762*x28 + 0.364471050984292*x29 - 1.94473984079535*x30 - 0.568030689407844*x31 + 1.88528298218436*x32 + 0.765366864730176*x33 - 1.80517056869972*x34 - 0.954317520519215*x35 + 1.70528032870819*x36 + 1.13281247384966*x37 - 1.58670668058247*x38 - 1.29889609666037*x39 + 1.45074874202458*x40 - objvar =L= 0; e89.. - 1.1183858069415*x1 - 1.69609619231284*x2 + 1.00000000000001*x3 + 1.76589518571785*x4 - 0.876742293578162*x5 - 1.8270909152852*x6 + 0.749213186831833*x7 + 1.87938524157182*x8 - 0.618033988749905*x9 - 1.92252339187664*x10 + 0.483843791199347*x11 + 1.95629520146761*x12 - 0.34729635533386*x13 - 1.98053613748314*x14 + 0.209056926535308*x15 + 1.99512810051965*x16 - 0.069798993405004*x17 - 2*x18 - 0.0697989934049986*x19 + 1.99512810051965*x20 + 0.209056926535302*x21 - 1.98053613748314*x22 - 0.347296355333855*x23 + 1.95629520146761*x24 + 0.483843791199335*x25 - 1.92252339187664*x26 - 0.618033988749893*x27 + 1.87938524157182*x28 + 0.749213186831821*x29 - 1.8270909152852*x30 - 0.876742293578154*x31 + 1.76589518571785*x32 + 0.999999999999998*x33 - 1.69609619231285*x34 - 1.11838580694149*x35 + 1.6180339887499*x36 + 1.23132295065132*x37 - 1.53208888623796*x38 - 1.33826121271772*x39 + 1.4386796006773*x40 - objvar =L= 0; e90.. 0.191691505040438*x1 - 1.98714371135318*x2 - 0.261052384440097*x3 + 1.97803172672383*x4 + 0.330095211721352*x5 - 1.96650981512791*x6 - 0.398735868834394*x7 + 1.95259201423987*x8 + 0.466890727711799*x9 - 1.93629528075622*x10 - 0.534476752156505*x11 + 1.91763946973639*x12 + 0.601411599008541*x13 - 1.8966473104124*x14 - 0.667613718467539*x15 + 1.8733443784968*x16 + 0.733002453448595*x17 - 1.84775906502257*x18 - 0.797498137850495*x19 + 1.81992254175309*x20 + 0.861022193616589*x21 - 1.78986872320405*x22 - 0.923497226470063*x23 + 1.75763422532393*x24 + 0.984847120206933*x25 - 1.72325832088305*x26 - 1.0449971294319*x27 + 1.68678289162577*x28 + 1.10387397062411*x29 - 1.64825237724403*x30 - 1.16140591142188*x31 + 1.60771372123444*x32 + 1.21752285801744*x33 - 1.56521631370483*x34 - 1.27215644055553*x35 + 1.52081193120006*x36 + 1.32524009643148*x37 - 1.47455467362025*x38 - 1.37670915138751*x39 + 1.42650089830836*x40 - objvar =L= 0; e91.. 1.4142135623731*x1 - 1.4142135623731*x2 - 1.41421356237309*x3 + 1.4142135623731*x4 + 1.4142135623731*x5 - 1.4142135623731*x6 - 1.41421356237309*x7 + 1.4142135623731*x8 + 1.4142135623731*x9 - 1.4142135623731*x10 - 1.41421356237309*x11 + 1.4142135623731*x12 + 1.4142135623731*x13 - 1.4142135623731*x14 - 1.41421356237309*x15 + 1.4142135623731*x16 + 1.4142135623731*x17 - 1.4142135623731*x18 - 1.41421356237309*x19 + 1.4142135623731*x20 + 1.41421356237309*x21 - 1.4142135623731*x22 - 1.41421356237309*x23 + 1.4142135623731*x24 + 1.41421356237309*x25 - 1.4142135623731*x26 - 1.41421356237309*x27 + 1.41421356237309*x28 + 1.41421356237309*x29 - 1.41421356237309*x30 - 1.41421356237309*x31 + 1.41421356237309*x32 + 1.41421356237309*x33 - 1.41421356237309*x34 - 1.41421356237309*x35 + 1.4142135623731*x36 + 1.41421356237309*x37 - 1.4142135623731*x38 - 1.41421356237309*x39 + 1.4142135623731*x40 - objvar =L= 0; e92.. - objvar + x43 - x44 =E= 0; e93.. objvar + x42 - x44 =E= 0; e94.. - x42 + x43 - x45 =C= 0; e95.. - 2*x1 - 2*x2 - 2*x3 - 2*x4 - 2*x5 - 2*x6 - 2*x7 - 2*x8 - 2*x9 - 2*x10 - 2*x11 - 2*x12 - 2*x13 - 2*x14 - 2*x15 - 2*x16 - 2*x17 - 2*x18 - 2*x19 - 2*x20 - 2*x21 - 2*x22 - 2*x23 - 2*x24 - 2*x25 - 2*x26 - 2*x27 - 2*x28 - 2*x29 - 2*x30 - 2*x31 - 2*x32 - 2*x33 - 2*x34 - 2*x35 - 2*x36 - 2*x37 - 2*x38 - 2*x39 - 2*x40 + x44 =L= 0; e96.. - 1.54324916677544*x1 - 1.56521631370483*x2 - 1.58670668058247*x3 - 1.60771372123443*x4 - 1.62823103671264*x5 - 1.64825237724403*x6 - 1.66777164413434*x7 - 1.68678289162577*x8 - 1.70528032870818*x9 - 1.72325832088305*x10 - 1.7407113918798*x11 - 1.75763422532393*x12 - 1.77402166635644*x13 - 1.78986872320405*x14 - 1.80517056869972*x15 - 1.81992254175309*x16 - 1.83412014877025*x17 - 1.84775906502257*x18 - 1.86083513596405*x19 - 1.8733443784968*x20 - 1.88528298218436*x21 - 1.8966473104124*x22 - 1.90743390149645*x23 - 1.91763946973639*x24 - 1.92726090641725*x25 - 1.93629528075622*x26 - 1.94473984079535*x27 - 1.95259201423987*x28 - 1.95984940924166*x29 - 1.96650981512791*x30 - 1.97257120307446*x31 - 1.97803172672383*x32 - 1.98288972274762*x33 - 1.98714371135317*x34 - 1.99079239673436*x35 - 1.99383466746626*x36 - 1.99626959684373*x37 - 1.99809644316372*x38 - 1.99931464995111*x39 - 1.99992384612834*x40 + x44 =L= 0; e97.. - 0.38161799075309*x1 - 0.44990210868773*x2 - 0.517638090205041*x3 - 0.584743409445474*x4 - 0.651136308914314*x5 - 0.716735899090601*x6 - 0.781462256978547*x7 - 0.845236523481399*x8 - 0.907980999479094*x9 - 0.969619240492674*x10 - 1.03007614982011*x11 - 1.08927807003005*x12 - 1.14715287270209*x13 - 1.2036300463041*x14 - 1.25864078209968*x15 - 1.31211805798101*x16 - 1.363996720125*x17 - 1.4142135623731*x18 - 1.46270740323834*x19 - 1.50941916044554*x20 - 1.55429192291394*x21 - 1.59727102009459*x22 - 1.63830408857798*x23 - 1.67734113589085*x24 - 1.71433460140422*x25 - 1.74923941427879*x26 - 1.78201304837674*x27 - 1.8126155740733*x28 - 1.84100970690488*x29 - 1.8671608529944*x30 - 1.89103715119863*x31 - 1.91260951192607*x32 - 1.93185165257814*x33 - 1.94874012957047*x34 - 1.96325436689533*x35 - 1.97537668119028*x36 - 1.98509230328264*x37 - 1.99238939618349*x38 - 1.99725906950915*x39 - 1.99969539031278*x40 + x44 =L= 0; e98.. 0.954317520519217*x1 + 0.861022193616591*x2 + 0.76536686473018*x3 + 0.667613718467542*x4 + 0.568030689407845*x5 + 0.466890727711811*x6 + 0.364471050984295*x7 + 0.261052384440103*x8 + 0.15691819145569*x9 + 0.0523538966157465*x10 - 0.0523538966157463*x11 - 0.15691819145569*x12 - 0.261052384440103*x13 - 0.364471050984295*x14 - 0.466890727711811*x15 - 0.568030689407845*x16 - 0.667613718467542*x17 - 0.76536686473018*x18 - 0.86102219361659*x19 - 0.954317520519217*x20 - 1.0449971294319*x21 - 1.13281247384967*x22 - 1.21752285801744*x23 - 1.29889609666037*x24 - 1.37670915138751*x25 - 1.45074874202458*x26 - 1.52081193120006*x27 - 1.58670668058247*x28 - 1.64825237724403*x29 - 1.70528032870818*x30 - 1.75763422532393*x31 - 1.80517056869972*x32 - 1.84775906502257*x33 - 1.88528298218436*x34 - 1.91763946973639*x35 - 1.94473984079535*x36 - 1.96650981512791*x37 - 1.98288972274762*x38 - 1.99383466746626*x39 - 1.99931464995111*x40 + x44 =L= 0; e99.. 1.85436770913357*x1 + 1.79758809259833*x2 + 1.73205080756888*x3 + 1.65807514511008*x4 + 1.57602150721344*x5 + 1.48628965095479*x6 + 1.38931674091799*x7 + 1.28557521937308*x8 + 1.17557050458495*x9 + 1.05983852846641*x10 + 0.938943125571782*x11 + 0.813473286151601*x12 + 0.684040286651337*x13 + 0.551274711633998*x14 + 0.415823381635519*x15 + 0.278346201920131*x16 + 0.139512947488251*x17 - 1.22460635382238E-16*x18 - 0.13951294748825*x19 - 0.278346201920131*x20 - 0.415823381635519*x21 - 0.551274711633998*x22 - 0.684040286651338*x23 - 0.8134732861516*x24 - 0.938943125571782*x25 - 1.05983852846641*x26 - 1.17557050458495*x27 - 1.28557521937308*x28 - 1.38931674091799*x29 - 1.48628965095479*x30 - 1.57602150721344*x31 - 1.65807514511008*x32 - 1.73205080756888*x33 - 1.79758809259833*x34 - 1.85436770913357*x35 - 1.90211303259031*x36 - 1.94059145255199*x37 - 1.96961550602442*x38 - 1.98904379073655*x39 - 1.99878165403819*x40 + x44 =L= 0; e100.. 1.90743390149645*x1 + 1.95259201423987*x2 + 1.98288972274762*x3 + 1.99809644316372*x4 + 1.99809644316372*x5 + 1.98288972274762*x6 + 1.95259201423987*x7 + 1.90743390149645*x8 + 1.84775906502257*x9 + 1.77402166635644*x10 + 1.68678289162577*x11 + 1.58670668058247*x12 + 1.47455467362025*x13 + 1.35118041523132*x14 + 1.21752285801744*x15 + 1.07459921669365*x16 + 0.923497226470067*x17 + 0.765366864730179*x18 + 0.601411599008546*x19 + 0.432879227876206*x20 + 0.261052384440103*x21 + 0.0872387747306718*x22 - 0.087238774730672*x23 - 0.261052384440103*x24 - 0.432879227876206*x25 - 0.601411599008547*x26 - 0.76536686473018*x27 - 0.923497226470068*x28 - 1.07459921669365*x29 - 1.21752285801744*x30 - 1.35118041523132*x31 - 1.47455467362025*x32 - 1.58670668058247*x33 - 1.68678289162577*x34 - 1.77402166635644*x35 - 1.84775906502257*x36 - 1.90743390149645*x37 - 1.95259201423987*x38 - 1.98288972274762*x39 - 1.99809644316372*x40 + x44 =L= 0; e101.. 1.08927807003005*x1 + 1.25864078209967*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 + 1.99725906950915*x11 + 1.97537668119028*x12 + 1.93185165257814*x13 + 1.8671608529944*x14 + 1.78201304837674*x15 + 1.67734113589085*x16 + 1.55429192291394*x17 + 1.41421356237309*x18 + 1.25864078209968*x19 + 1.08927807003005*x20 + 0.907980999479093*x21 + 0.716735899090601*x22 + 0.517638090205042*x23 + 0.312868930080462*x24 + 0.104671912485888*x25 - 0.104671912485887*x26 - 0.312868930080461*x27 - 0.517638090205041*x28 - 0.7167358990906*x29 - 0.907980999479094*x30 - 1.08927807003005*x31 - 1.25864078209968*x32 - 1.41421356237309*x33 - 1.55429192291394*x34 - 1.67734113589085*x35 - 1.78201304837674*x36 - 1.8671608529944*x37 - 1.93185165257814*x38 - 1.97537668119028*x39 - 1.99725906950915*x40 + x44 =L= 0; e102.. - 0.226406427535813*x1 + 0.0174530709967472*x2 + 0.261052384440103*x3 + 0.500760008108882*x4 + 0.733002453448594*x5 + 0.954317520519217*x6 + 1.16140591142188*x7 + 1.35118041523132*x8 + 1.52081193120006*x9 + 1.66777164413434*x10 + 1.78986872320405*x11 + 1.88528298218436*x12 + 1.95259201423987*x13 + 1.99079239673436*x14 + 1.99931464995111*x15 + 1.97803172672383*x16 + 1.92726090641725*x17 + 1.84775906502257*x18 + 1.7407113918798*x19 + 1.60771372123443*x20 + 1.45074874202458*x21 + 1.27215644055553*x22 + 1.07459921669365*x23 + 0.861022193616591*x24 + 0.634609312810184*x25 + 0.398735868834395*x26 + 0.15691819145569*x27 - 0.087238774730672*x28 - 0.330095211721355*x29 - 0.568030689407845*x30 - 0.797498137850493*x31 - 1.01507672592141*x32 - 1.21752285801744*x33 - 1.4018185285997*x34 - 1.56521631370483*x35 - 1.70528032870818*x36 - 1.81992254175309*x37 - 1.90743390149645*x38 - 1.96650981512791*x39 - 1.99626959684373*x40 + x44 =L= 0; e103.. - 1.4386796006773*x1 - 1.23132295065132*x2 - x3 - 0.749213186831824*x4 - 0.483843791199335*x5 - 0.209056926535306*x6 + 0.0697989934050015*x7 + 0.347296355333861*x8 + 0.618033988749895*x9 + 0.876742293578155*x10 + 1.11838580694149*x11 + 1.33826121271772*x12 + 1.53208888623796*x13 + 1.69609619231285*x14 + 1.8270909152852*x15 + 1.92252339187664*x16 + 1.98053613748314*x17 + 2*x18 + 1.98053613748314*x19 + 1.92252339187664*x20 + 1.8270909152852*x21 + 1.69609619231285*x22 + 1.53208888623796*x23 + 1.33826121271772*x24 + 1.11838580694149*x25 + 0.876742293578155*x26 + 0.618033988749895*x27 + 0.347296355333861*x28 + 0.0697989934050019*x29 - 0.209056926535307*x30 - 0.483843791199335*x31 - 0.749213186831824*x32 - x33 - 1.23132295065132*x34 - 1.4386796006773*x35 - 1.61803398874989*x36 - 1.76589518571785*x37 - 1.87938524157182*x38 - 1.95629520146761*x39 - 1.99512810051965*x40 + x44 =L= 0; e104.. - 1.99383466746626*x1 - 1.94473984079535*x2 - 1.84775906502257*x3 - 1.70528032870818*x4 - 1.52081193120006*x5 - 1.29889609666037*x6 - 1.0449971294319*x7 - 0.76536686473018*x8 - 0.46689072771181*x9 - 0.15691819145569*x10 + 0.156918191455691*x11 + 0.46689072771181*x12 + 0.765366864730181*x13 + 1.0449971294319*x14 + 1.29889609666037*x15 + 1.52081193120006*x16 + 1.70528032870818*x17 + 1.84775906502257*x18 + 1.94473984079535*x19 + 1.99383466746626*x20 + 1.99383466746626*x21 + 1.94473984079535*x22 + 1.84775906502257*x23 + 1.70528032870818*x24 + 1.52081193120006*x25 + 1.29889609666037*x26 + 1.0449971294319*x27 + 0.765366864730179*x28 + 0.466890727711811*x29 + 0.15691819145569*x30 - 0.15691819145569*x31 - 0.466890727711811*x32 - 0.76536686473018*x33 - 1.0449971294319*x34 - 1.29889609666037*x35 - 1.52081193120006*x36 - 1.70528032870818*x37 - 1.84775906502257*x38 - 1.94473984079535*x39 - 1.99383466746626*x40 + x44 =L= 0; e105.. - 1.63830408857798*x1 - 1.8126155740733*x2 - 1.93185165257814*x3 - 1.99238939618349*x4 - 1.99238939618349*x5 - 1.93185165257814*x6 - 1.8126155740733*x7 - 1.63830408857798*x8 - 1.41421356237309*x9 - 1.14715287270209*x10 - 0.845236523481398*x11 - 0.517638090205041*x12 - 0.174311485495316*x13 + 0.174311485495316*x14 + 0.517638090205041*x15 + 0.8452365234814*x16 + 1.14715287270209*x17 + 1.4142135623731*x18 + 1.63830408857798*x19 + 1.8126155740733*x20 + 1.93185165257814*x21 + 1.99238939618349*x22 + 1.99238939618349*x23 + 1.93185165257814*x24 + 1.8126155740733*x25 + 1.63830408857798*x26 + 1.41421356237309*x27 + 1.14715287270209*x28 + 0.845236523481399*x29 + 0.517638090205041*x30 + 0.174311485495316*x31 - 0.174311485495317*x32 - 0.517638090205041*x33 - 0.845236523481399*x34 - 1.14715287270209*x35 - 1.4142135623731*x36 - 1.63830408857798*x37 - 1.8126155740733*x38 - 1.93185165257814*x39 - 1.99238939618349*x40 + x44 =L= 0; e106.. - 0.534476752156514*x1 - 0.892395626219619*x2 - 1.21752285801744*x3 - 1.49791144157801*x4 - 1.72325832088305*x5 - 1.88528298218436*x6 - 1.97803172672383*x7 - 1.99809644316372*x8 - 1.94473984079535*x9 - 1.81992254175309*x10 - 1.62823103671264*x11 - 1.37670915138751*x12 - 1.07459921669365*x13 - 0.733002453448594*x14 - 0.364471050984295*x15 + 0.0174530709967489*x16 + 0.398735868834395*x17 + 0.765366864730181*x18 + 1.10387397062412*x19 + 1.4018185285997*x20 + 1.64825237724403*x21 + 1.83412014877025*x22 + 1.95259201423987*x23 + 1.99931464995111*x24 + 1.97257120307446*x25 + 1.8733443784968*x26 + 1.70528032870818*x27 + 1.47455467362025*x28 + 1.18964557350268*x29 + 0.86102219361659*x30 + 0.500760008108883*x31 + 0.122097079069714*x32 - 0.261052384440103*x33 - 0.634609312810185*x34 - 0.984847120206934*x35 - 1.29889609666037*x36 - 1.56521631370483*x37 - 1.77402166635644*x38 - 1.91763946973639*x39 - 1.99079239673436*x40 + x44 =L= 0; e107.. 0.813473286151601*x1 + 0.41582338163552*x2 + 1.16405366248906E-15*x3 - 0.415823381635518*x4 - 0.8134732861516*x5 - 1.17557050458495*x6 - 1.48628965095479*x7 - 1.73205080756888*x8 - 1.90211303259031*x9 - 1.98904379073655*x10 - 1.98904379073655*x11 - 1.90211303259031*x12 - 1.73205080756888*x13 - 1.48628965095479*x14 - 1.17557050458495*x15 - 0.813473286151601*x16 - 0.415823381635519*x17 + 3.67381906146713E-16*x18 + 0.415823381635518*x19 + 0.8134732861516*x20 + 1.17557050458495*x21 + 1.48628965095479*x22 + 1.73205080756888*x23 + 1.90211303259031*x24 + 1.98904379073655*x25 + 1.98904379073655*x26 + 1.90211303259031*x27 + 1.73205080756888*x28 + 1.48628965095479*x29 + 1.17557050458495*x30 + 0.813473286151601*x31 + 0.415823381635519*x32 + 3.21628574467825E-16*x33 - 0.415823381635518*x34 - 0.8134732861516*x35 - 1.17557050458495*x36 - 1.48628965095479*x37 - 1.73205080756888*x38 - 1.90211303259031*x39 - 1.98904379073655*x40 + x44 =L= 0; e108.. 1.78986872320405*x1 + 1.54324916677544*x2 + 1.21752285801744*x3 + 0.829386485312478*x4 + 0.398735868834394*x5 - 0.0523538966157454*x6 - 0.500760008108882*x7 - 0.923497226470067*x8 - 1.29889609666037*x9 - 1.60771372123443*x10 - 1.83412014877025*x11 - 1.96650981512791*x12 - 1.99809644316372*x13 - 1.92726090641725*x14 - 1.75763422532393*x15 - 1.497911441578*x16 - 1.16140591142188*x17 - 0.76536686473018*x18 - 0.330095211721356*x19 + 0.122097079069714*x20 + 0.568030689407845*x21 + 0.984847120206934*x22 + 1.35118041523132*x23 + 1.64825237724403*x24 + 1.86083513596405*x25 + 1.97803172672383*x26 + 1.99383466746626*x27 + 1.90743390149645*x28 + 1.72325832088305*x29 + 1.45074874202458*x30 + 1.10387397062412*x31 + 0.700414762518935*x32 + 0.261052384440103*x33 - 0.191691505040448*x34 - 0.634609312810184*x35 - 1.0449971294319*x36 - 1.4018185285997*x37 - 1.68678289162577*x38 - 1.88528298218436*x39 - 1.98714371135317*x40 + x44 =L= 0; e109.. 1.94874012957047*x1 + 1.99969539031278*x2 + 1.93185165257814*x3 + 1.74923941427879*x4 + 1.46270740323834*x5 + 1.08927807003005*x6 + 0.651136308914314*x7 + 0.174311485495317*x8 - 0.312868930080462*x9 - 0.781462256978548*x10 - 1.2036300463041*x11 - 1.55429192291394*x12 - 1.8126155740733*x13 - 1.96325436689533*x14 - 1.99725906950915*x15 - 1.91260951192607*x16 - 1.71433460140422*x17 - 1.41421356237309*x18 - 1.03007614982011*x19 - 0.584743409445473*x20 - 0.104671912485888*x21 + 0.381617990753089*x22 + 0.845236523481398*x23 + 1.25864078209967*x24 + 1.59727102009459*x25 + 1.84100970690488*x26 + 1.97537668119028*x27 + 1.99238939618349*x28 + 1.89103715119863*x29 + 1.67734113589085*x30 + 1.363996720125*x31 + 0.969619240492674*x32 + 0.517638090205042*x33 + 0.034904812874567*x34 - 0.44990210868773*x35 - 0.907980999479094*x36 - 1.31211805798101*x37 - 1.63830408857798*x38 - 1.8671608529944*x39 - 1.98509230328264*x40 + x44 =L= 0; e110.. 1.21752285801744*x1 + 1.58670668058247*x2 + 1.84775906502257*x3 + 1.98288972274762*x4 + 1.98288972274762*x5 + 1.84775906502257*x6 + 1.58670668058247*x7 + 1.21752285801744*x8 + 0.765366864730176*x9 + 0.261052384440102*x10 - 0.261052384440105*x11 - 0.765366864730181*x12 - 1.21752285801744*x13 - 1.58670668058247*x14 - 1.84775906502257*x15 - 1.98288972274762*x16 - 1.98288972274762*x17 - 1.84775906502257*x18 - 1.58670668058247*x19 - 1.21752285801744*x20 - 0.765366864730178*x21 - 0.261052384440103*x22 + 0.261052384440105*x23 + 0.765366864730181*x24 + 1.21752285801744*x25 + 1.58670668058247*x26 + 1.84775906502257*x27 + 1.98288972274762*x28 + 1.98288972274762*x29 + 1.84775906502257*x30 + 1.58670668058247*x31 + 1.21752285801744*x32 + 0.765366864730179*x33 + 0.261052384440103*x34 - 0.261052384440103*x35 - 0.76536686473018*x36 - 1.21752285801744*x37 - 1.58670668058247*x38 - 1.84775906502257*x39 - 1.98288972274762*x40 + x44 =L= 0; e111.. - 0.0697989934050003*x1 + 0.483843791199334*x2 + x3 + 1.4386796006773*x4 + 1.76589518571785*x5 + 1.95629520146761*x6 + 1.99512810051965*x7 + 1.87938524157182*x8 + 1.61803398874989*x9 + 1.23132295065132*x10 + 0.749213186831825*x11 + 0.209056926535307*x12 - 0.347296355333861*x13 - 0.876742293578156*x14 - 1.33826121271772*x15 - 1.69609619231285*x16 - 1.92252339187664*x17 - 2*x18 - 1.92252339187664*x19 - 1.69609619231285*x20 - 1.33826121271772*x21 - 0.876742293578155*x22 - 0.34729635533386*x23 + 0.209056926535307*x24 + 0.749213186831825*x25 + 1.23132295065132*x26 + 1.6180339887499*x27 + 1.87938524157182*x28 + 1.99512810051965*x29 + 1.95629520146761*x30 + 1.76589518571785*x31 + 1.4386796006773*x32 + x33 + 0.483843791199336*x34 - 0.0697989934050022*x35 - 0.618033988749895*x36 - 1.11838580694149*x37 - 1.53208888623796*x38 - 1.8270909152852*x39 - 1.98053613748314*x40 + x44 =L= 0; e112.. - 1.32524009643148*x1 - 0.829386485312481*x2 - 0.261052384440104*x3 + 0.330095211721353*x4 + 0.892395626219618*x5 + 1.37670915138751*x6 + 1.7407113918798*x7 + 1.95259201423987*x8 + 1.99383466746626*x9 + 1.86083513596405*x10 + 1.56521631370483*x11 + 1.13281247384967*x12 + 0.601411599008547*x13 + 0.0174530709967497*x14 - 0.568030689407844*x15 - 1.10387397062412*x16 - 1.54324916677544*x17 - 1.84775906502257*x18 - 1.99079239673436*x19 - 1.95984940924166*x20 - 1.75763422532393*x21 - 1.4018185285997*x22 - 0.923497226470068*x23 - 0.364471050984295*x24 + 0.226406427535812*x25 + 0.797498137850492*x26 + 1.29889609666037*x27 + 1.68678289162577*x28 + 1.92726090641725*x29 + 1.99931464995111*x30 + 1.8966473104124*x31 + 1.62823103671264*x32 + 1.21752285801744*x33 + 0.700414762518935*x34 + 0.122097079069714*x35 - 0.466890727711811*x36 - 1.01507672592141*x37 - 1.47455467362025*x38 - 1.80517056869972*x39 - 1.97803172672383*x40 + x44 =L= 0; e113.. - 1.97537668119028*x1 - 1.78201304837674*x2 - 1.41421356237309*x3 - 0.907980999479094*x4 - 0.312868930080459*x5 + 0.312868930080461*x6 + 0.907980999479096*x7 + 1.41421356237309*x8 + 1.78201304837674*x9 + 1.97537668119028*x10 + 1.97537668119028*x11 + 1.78201304837674*x12 + 1.41421356237309*x13 + 0.907980999479095*x14 + 0.312868930080459*x15 - 0.312868930080462*x16 - 0.907980999479094*x17 - 1.4142135623731*x18 - 1.78201304837674*x19 - 1.97537668119028*x20 - 1.97537668119028*x21 - 1.78201304837674*x22 - 1.41421356237309*x23 - 0.907980999479093*x24 - 0.312868930080461*x25 + 0.312868930080462*x26 + 0.907980999479094*x27 + 1.4142135623731*x28 + 1.78201304837674*x29 + 1.97537668119028*x30 + 1.97537668119028*x31 + 1.78201304837674*x32 + 1.41421356237309*x33 + 0.907980999479093*x34 + 0.312868930080462*x35 - 0.312868930080462*x36 - 0.907980999479094*x37 - 1.4142135623731*x38 - 1.78201304837674*x39 - 1.97537668119028*x40 + x44 =L= 0; e114.. - 1.72325832088305*x1 - 1.95984940924166*x2 - 1.98288972274762*x3 - 1.78986872320405*x4 - 1.4018185285997*x5 - 0.861022193616591*x6 - 0.226406427535813*x7 + 0.432879227876204*x8 + 1.0449971294319*x9 + 1.54324916677544*x10 + 1.87334437849679*x11 + 1.99931464995111*x12 + 1.90743390149645*x13 + 1.60771372123443*x14 + 1.13281247384966*x15 + 0.534476752156515*x16 - 0.122097079069714*x17 - 0.765366864730179*x18 - 1.32524009643147*x19 - 1.7407113918798*x20 - 1.96650981512791*x21 - 1.97803172672383*x22 - 1.77402166635644*x23 - 1.37670915138751*x24 - 0.829386485312478*x25 - 0.191691505040448*x26 + 0.46689072771181*x27 + 1.07459921669365*x28 + 1.56521631370483*x29 + 1.88528298218436*x30 + 1.99992384612834*x31 + 1.8966473104124*x32 + 1.58670668058247*x33 + 1.10387397062412*x34 + 0.500760008108883*x35 - 0.15691819145569*x36 - 0.797498137850492*x37 - 1.35118041523132*x38 - 1.75763422532393*x39 - 1.97257120307446*x40 + x44 =L= 0; e115.. - 0.684040286651338*x1 - 1.28557521937308*x2 - 1.73205080756888*x3 - 1.96961550602442*x4 - 1.96961550602442*x5 - 1.73205080756888*x6 - 1.28557521937308*x7 - 0.684040286651336*x8 + 8.57224447675664E-16*x9 + 0.684040286651338*x10 + 1.28557521937308*x11 + 1.73205080756888*x12 + 1.96961550602442*x13 + 1.96961550602442*x14 + 1.73205080756888*x15 + 1.28557521937308*x16 + 0.684040286651336*x17 - 6.12303176911189E-16*x18 - 0.684040286651339*x19 - 1.28557521937308*x20 - 1.73205080756888*x21 - 1.96961550602442*x22 - 1.96961550602442*x23 - 1.73205080756888*x24 - 1.28557521937308*x25 - 0.684040286651336*x26 + 3.67381906146713E-16*x27 + 0.684040286651339*x28 + 1.28557521937308*x29 + 1.73205080756888*x30 + 1.96961550602442*x31 + 1.96961550602442*x32 + 1.73205080756888*x33 + 1.28557521937308*x34 + 0.684040286651337*x35 - 1.22460635382238E-16*x36 - 0.684040286651338*x37 - 1.28557521937308*x38 - 1.73205080756888*x39 - 1.96961550602442*x40 + x44 =L= 0; e116.. 0.667613718467541*x1 - 0.0523538966157477*x2 - 0.765366864730178*x3 - 1.37670915138751*x4 - 1.80517056869972*x5 - 1.99383466746626*x6 - 1.91763946973639*x7 - 1.58670668058247*x8 - 1.0449971294319*x9 - 0.364471050984296*x10 + 0.364471050984294*x11 + 1.0449971294319*x12 + 1.58670668058247*x13 + 1.91763946973639*x14 + 1.99383466746626*x15 + 1.80517056869972*x16 + 1.37670915138751*x17 + 0.76536686473018*x18 + 0.052353896615746*x19 - 0.667613718467541*x20 - 1.29889609666037*x21 - 1.75763422532393*x22 - 1.98288972274762*x23 - 1.94473984079535*x24 - 1.64825237724403*x25 - 1.13281247384966*x26 - 0.466890727711811*x27 + 0.261052384440103*x28 + 0.954317520519217*x29 + 1.52081193120006*x30 + 1.88528298218436*x31 + 1.99931464995111*x32 + 1.84775906502257*x33 + 1.45074874202458*x34 + 0.861022193616591*x35 + 0.15691819145569*x36 - 0.568030689407845*x37 - 1.21752285801744*x38 - 1.70528032870818*x39 - 1.96650981512791*x40 + x44 =L= 0; e117.. 1.71433460140422*x1 + 1.20363004630409*x2 + 0.51763809020504*x3 - 0.243738686810299*x4 - 0.969619240492676*x5 - 1.55429192291394*x6 - 1.91260951192607*x7 - 1.99238939618349*x8 - 1.78201304837673*x9 - 1.31211805798101*x10 - 0.65113630891431*x11 + 0.104671912485889*x12 + 0.845236523481399*x13 + 1.46270740323834*x14 + 1.8671608529944*x15 + 1.99969539031278*x16 + 1.84100970690488*x17 + 1.41421356237309*x18 + 0.781462256978547*x19 + 0.034904812874566*x20 - 0.716735899090602*x21 - 1.363996720125*x22 - 1.8126155740733*x23 - 1.99725906950915*x24 - 1.89103715119863*x25 - 1.50941916044554*x26 - 0.907980999479093*x27 - 0.174311485495316*x28 + 0.584743409445474*x29 + 1.25864078209968*x30 + 1.74923941427879*x31 + 1.98509230328264*x32 + 1.93185165257814*x33 + 1.59727102009459*x34 + 1.03007614982011*x35 + 0.312868930080462*x36 - 0.44990210868773*x37 - 1.14715287270209*x38 - 1.67734113589085*x39 - 1.96325436689533*x40 + x44 =L= 0; e118.. 1.97803172672383*x1 + 1.93629528075622*x2 + 1.58670668058247*x3 + 0.984847120206933*x4 + 0.226406427535812*x5 - 0.568030689407846*x6 - 1.27215644055553*x7 - 1.77402166635644*x8 - 1.99383466746626*x9 - 1.8966473104124*x10 - 1.497911441578*x11 - 0.861022193616591*x12 - 0.0872387747306728*x13 + 0.700414762518934*x14 + 1.37670915138751*x15 + 1.83412014877025*x16 + 1.99992384612834*x17 + 1.84775906502257*x18 + 1.4018185285997*x19 + 0.733002453448593*x20 - 0.0523538966157472*x21 - 0.829386485312479*x22 - 1.47455467362025*x23 - 1.88528298218436*x24 - 1.99626959684373*x25 - 1.78986872320405*x26 - 1.29889609666037*x27 - 0.601411599008547*x28 + 0.191691505040449*x29 + 0.954317520519217*x30 + 1.56521631370483*x31 + 1.92726090641725*x32 + 1.98288972274762*x33 + 1.72325832088305*x34 + 1.18964557350268*x35 + 0.466890727711811*x36 - 0.330095211721355*x37 - 1.07459921669365*x38 - 1.64825237724403*x39 - 1.95984940924166*x40 + x44 =L= 0; e119.. 1.33826121271772*x1 + 1.8270909152852*x2 + 2*x3 + 1.8270909152852*x4 + 1.33826121271772*x5 + 0.618033988749897*x6 - 0.209056926535306*x7 - x8 - 1.61803398874989*x9 - 1.95629520146761*x10 - 1.95629520146761*x11 - 1.6180339887499*x12 - 1*x13 - 0.209056926535307*x14 + 0.618033988749892*x15 + 1.33826121271772*x16 + 1.8270909152852*x17 + 2*x18 + 1.8270909152852*x19 + 1.33826121271772*x20 + 0.618033988749894*x21 - 0.209056926535307*x22 - x23 - 1.61803398874989*x24 - 1.95629520146761*x25 - 1.95629520146761*x26 - 1.6180339887499*x27 - x28 - 0.209056926535308*x29 + 0.618033988749895*x30 + 1.33826121271772*x31 + 1.8270909152852*x32 + 2*x33 + 1.8270909152852*x34 + 1.33826121271772*x35 + 0.618033988749895*x36 - 0.209056926535307*x37 - x38 - 1.61803398874989*x39 - 1.95629520146761*x40 + x44 =L= 0; e120.. 0.087238774730675*x1 + 0.923497226470066*x2 + 1.58670668058247*x3 + 1.95259201423987*x4 + 1.95259201423987*x5 + 1.58670668058247*x6 + 0.923497226470067*x7 + 0.0872387747306726*x8 - 0.765366864730181*x9 - 1.47455467362025*x10 - 1.90743390149645*x11 - 1.98288972274762*x12 - 1.68678289162577*x13 - 1.07459921669365*x14 - 0.261052384440104*x15 + 0.601411599008548*x16 + 1.35118041523132*x17 + 1.84775906502257*x18 + 1.99809644316372*x19 + 1.77402166635644*x20 + 1.21752285801744*x21 + 0.432879227876206*x22 - 0.432879227876206*x23 - 1.21752285801744*x24 - 1.77402166635644*x25 - 1.99809644316372*x26 - 1.84775906502257*x27 - 1.35118041523132*x28 - 0.601411599008545*x29 + 0.261052384440103*x30 + 1.07459921669365*x31 + 1.68678289162577*x32 + 1.98288972274762*x33 + 1.90743390149645*x34 + 1.47455467362025*x35 + 0.765366864730179*x36 - 0.087238774730672*x37 - 0.923497226470068*x38 - 1.58670668058247*x39 - 1.95259201423987*x40 + x44 =L= 0; e121.. - 1.2036300463041*x1 - 0.381617990753089*x2 + 0.517638090205042*x3 + 1.31211805798102*x4 + 1.84100970690488*x5 + 1.99725906950915*x6 + 1.74923941427879*x7 + 1.14715287270209*x8 + 0.312868930080462*x9 - 0.584743409445473*x10 - 1.363996720125*x11 - 1.8671608529944*x12 - 1.99238939618349*x13 - 1.71433460140423*x14 - 1.08927807003006*x15 - 0.243738686810297*x16 + 0.651136308914312*x17 + 1.41421356237309*x18 + 1.89103715119863*x19 + 1.98509230328264*x20 + 1.67734113589085*x21 + 1.03007614982011*x22 + 0.174311485495317*x23 - 0.7167358990906*x24 - 1.46270740323834*x25 - 1.91260951192607*x26 - 1.97537668119028*x27 - 1.63830408857798*x28 - 0.969619240492675*x29 - 0.104671912485888*x30 + 0.781462256978548*x31 + 1.50941916044554*x32 + 1.93185165257814*x33 + 1.96325436689533*x34 + 1.59727102009459*x35 + 0.907980999479093*x36 + 0.034904812874567*x37 - 0.845236523481399*x38 - 1.55429192291394*x39 - 1.94874012957047*x40 + x44 =L= 0; e122.. - 1.94473984079535*x1 - 1.52081193120006*x2 - 0.765366864730179*x3 + 0.156918191455689*x4 + 1.0449971294319*x5 + 1.70528032870819*x6 + 1.99383466746626*x7 + 1.84775906502257*x8 + 1.29889609666037*x9 + 0.466890727711809*x10 - 0.466890727711811*x11 - 1.29889609666037*x12 - 1.84775906502257*x13 - 1.99383466746626*x14 - 1.70528032870818*x15 - 1.0449971294319*x16 - 0.15691819145569*x17 + 0.765366864730181*x18 + 1.52081193120006*x19 + 1.94473984079535*x20 + 1.94473984079535*x21 + 1.52081193120006*x22 + 0.76536686473018*x23 - 0.156918191455691*x24 - 1.0449971294319*x25 - 1.70528032870819*x26 - 1.99383466746626*x27 - 1.84775906502257*x28 - 1.29889609666037*x29 - 0.46689072771181*x30 + 0.46689072771181*x31 + 1.29889609666037*x32 + 1.84775906502257*x33 + 1.99383466746626*x34 + 1.70528032870818*x35 + 1.0449971294319*x36 + 0.15691819145569*x37 - 0.76536686473018*x38 - 1.52081193120006*x39 - 1.94473984079535*x40 + x44 =L= 0; e123.. - 1.79758809259833*x1 - 1.99878165403819*x2 - 1.73205080756888*x3 - 1.05983852846641*x4 - 0.139512947488251*x5 + 0.813473286151603*x6 + 1.57602150721344*x7 + 1.96961550602442*x8 + 1.90211303259031*x9 + 1.38931674091799*x10 + 0.551274711633998*x11 - 0.415823381635519*x12 - 1.28557521937308*x13 - 1.85436770913357*x14 - 1.98904379073655*x15 - 1.65807514511008*x16 - 0.93894312557178*x17 + 8.57224447675664E-16*x18 + 0.938943125571782*x19 + 1.65807514511008*x20 + 1.98904379073655*x21 + 1.85436770913358*x22 + 1.28557521937308*x23 + 0.41582338163552*x24 - 0.551274711633998*x25 - 1.38931674091799*x26 - 1.90211303259031*x27 - 1.96961550602442*x28 - 1.57602150721344*x29 - 0.813473286151601*x30 + 0.139512947488251*x31 + 1.05983852846641*x32 + 1.73205080756888*x33 + 1.99878165403819*x34 + 1.79758809259833*x35 + 1.17557050458495*x36 + 0.278346201920131*x37 - 0.684040286651338*x38 - 1.48628965095479*x39 - 1.94059145255199*x40 + x44 =L= 0; e124.. - 0.829386485312476*x1 - 1.60771372123443*x2 - 1.98288972274762*x3 - 1.86083513596405*x4 - 1.27215644055553*x5 - 0.364471050984299*x6 + 0.634609312810181*x7 + 1.47455467362025*x8 + 1.94473984079535*x9 + 1.92726090641725*x10 + 1.42650089830837*x11 + 0.568030689407847*x12 - 0.432879227876205*x13 - 1.32524009643147*x14 - 1.88528298218436*x15 - 1.97257120307446*x16 - 1.56521631370483*x17 - 0.76536686473018*x18 + 0.226406427535811*x19 + 1.16140591142188*x20 + 1.80517056869972*x21 + 1.99626959684373*x22 + 1.68678289162577*x23 + 0.954317520519218*x24 - 0.0174530709967474*x25 - 0.984847120206933*x26 - 1.70528032870818*x27 - 1.99809644316372*x28 - 1.78986872320405*x29 - 1.13281247384967*x30 - 0.191691505040448*x31 + 0.797498137850492*x32 + 1.58670668058247*x33 + 1.97803172672383*x34 + 1.8733443784968*x35 + 1.29889609666037*x36 + 0.398735868834395*x37 - 0.601411599008546*x38 - 1.45074874202458*x39 - 1.93629528075622*x40 + x44 =L= 0; e125.. 0.517638090205039*x1 - 0.517638090205042*x2 - 1.4142135623731*x3 - 1.93185165257814*x4 - 1.93185165257814*x5 - 1.41421356237309*x6 - 0.51763809020504*x7 + 0.517638090205042*x8 + 1.4142135623731*x9 + 1.93185165257814*x10 + 1.93185165257814*x11 + 1.41421356237309*x12 + 0.51763809020504*x13 - 0.517638090205045*x14 - 1.4142135623731*x15 - 1.93185165257814*x16 - 1.93185165257814*x17 - 1.41421356237309*x18 - 0.51763809020504*x19 + 0.517638090205045*x20 + 1.4142135623731*x21 + 1.93185165257814*x22 + 1.93185165257814*x23 + 1.41421356237309*x24 + 0.51763809020504*x25 - 0.517638090205043*x26 - 1.4142135623731*x27 - 1.93185165257814*x28 - 1.93185165257814*x29 - 1.41421356237309*x30 - 0.517638090205041*x31 + 0.517638090205043*x32 + 1.4142135623731*x33 + 1.93185165257814*x34 + 1.93185165257814*x35 + 1.41421356237309*x36 + 0.517638090205041*x37 - 0.517638090205042*x38 - 1.4142135623731*x39 - 1.93185165257814*x40 + x44 =L= 0; e126.. 1.62823103671264*x1 + 0.79749813785049*x2 - 0.261052384440103*x3 - 1.24502927327524*x4 - 1.8733443784968*x5 - 1.96650981512791*x6 - 1.497911441578*x7 - 0.601411599008543*x8 + 0.466890727711811*x9 + 1.4018185285997*x10 + 1.93629528075622*x11 + 1.91763946973639*x12 + 1.35118041523132*x13 + 0.398735868834393*x14 - 0.667613718467543*x15 - 1.54324916677544*x16 - 1.97803172672383*x17 - 1.84775906502257*x18 - 1.18964557350268*x19 - 0.191691505040446*x20 + 0.861022193616592*x21 + 1.66777164413434*x22 + 1.99809644316372*x23 + 1.75763422532393*x24 + 1.01507672592141*x25 - 0.0174530709967492*x26 - 1.0449971294319*x27 - 1.77402166635644*x28 - 1.99626959684373*x29 - 1.64825237724403*x30 - 0.829386485312478*x31 + 0.226406427535814*x32 + 1.21752285801744*x33 + 1.86083513596405*x34 + 1.97257120307446*x35 + 1.52081193120006*x36 + 0.634609312810184*x37 - 0.432879227876206*x38 - 1.37670915138751*x39 - 1.92726090641725*x40 + x44 =L= 0; e127.. 1.99512810051965*x1 + 1.76589518571785*x2 + x3 - 0.0697989934050027*x4 - 1.1183858069415*x5 - 1.8270909152852*x6 - 1.98053613748314*x7 - 1.53208888623796*x8 - 0.618033988749894*x9 + 0.483843791199338*x10 + 1.4386796006773*x11 + 1.95629520146761*x12 + 1.87938524157182*x13 + 1.23132295065132*x14 + 0.209056926535307*x15 - 0.876742293578156*x16 - 1.69609619231285*x17 - 2*x18 - 1.69609619231285*x19 - 0.876742293578154*x20 + 0.209056926535309*x21 + 1.23132295065132*x22 + 1.87938524157182*x23 + 1.95629520146761*x24 + 1.4386796006773*x25 + 0.483843791199336*x26 - 0.618033988749895*x27 - 1.53208888623796*x28 - 1.98053613748314*x29 - 1.8270909152852*x30 - 1.11838580694149*x31 - 0.0697989934050026*x32 + x33 + 1.76589518571785*x34 + 1.99512810051965*x35 + 1.61803398874989*x36 + 0.749213186831824*x37 - 0.347296355333861*x38 - 1.33826121271772*x39 - 1.92252339187664*x40 + x44 =L= 0; e128.. 1.45074874202458*x1 + 1.96650981512791*x2 + 1.84775906502257*x3 + 1.13281247384967*x4 + 0.0523538966157486*x5 - 1.0449971294319*x6 - 1.80517056869972*x7 - 1.98288972274762*x8 - 1.52081193120006*x9 - 0.568030689407844*x10 + 0.568030689407846*x11 + 1.52081193120006*x12 + 1.98288972274762*x13 + 1.80517056869972*x14 + 1.0449971294319*x15 - 0.0523538966157441*x16 - 1.13281247384967*x17 - 1.84775906502257*x18 - 1.96650981512791*x19 - 1.45074874202458*x20 - 0.466890727711813*x21 + 0.667613718467543*x22 + 1.58670668058247*x23 + 1.99383466746626*x24 + 1.75763422532393*x25 + 0.954317520519218*x26 - 0.15691819145569*x27 - 1.21752285801744*x28 - 1.88528298218436*x29 - 1.9447