fir_socp_10_nlp.gms

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fir_socp_10_nlp.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 16:54:07 * * 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 * 10 10 0 0 0 0 0 0 * FX 1 1 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 1711 1711 0 0 * * Solve m using LP minimizing objvar; Variables x1,x2,x3,x4,x5,objvar,x7,x8,x9,x10; Positive Variables x9; 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; 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e82.. 1.99383466746626*x1 + 0.46689072771181*x2 - 1.84775906502257*x3 - 1.0449971294319*x4 + 1.52081193120006*x5 - objvar =L= 0; e83.. 1.97537668119028*x1 + 0.584743409445473*x2 - 1.8126155740733*x3 - 1.08927807003005*x4 + 1.50941916044554*x5 - objvar =L= 0; e84.. 1.94473984079535*x1 + 0.700414762518934*x2 - 1.77402166635644*x3 - 1.13281247384967*x4 + 1.497911441578*x5 - objvar =L= 0; e85.. 1.90211303259031*x1 + 0.813473286151601*x2 - 1.73205080756888*x3 - 1.17557050458495*x4 + 1.48628965095479*x5 - objvar =L= 0; e86.. 1.84775906502257*x1 + 0.923497226470068*x2 - 1.68678289162577*x3 - 1.21752285801744*x4 + 1.47455467362025*x5 - objvar =L= 0; e87.. 1.78201304837674*x1 + 1.03007614982011*x2 - 1.63830408857798*x3 - 1.25864078209968*x4 + 1.46270740323834*x5 - objvar =L= 0; e88.. 1.70528032870819*x1 + 1.13281247384966*x2 - 1.58670668058247*x3 - 1.29889609666037*x4 + 1.45074874202458*x5 - objvar =L= 0; e89.. 1.6180339887499*x1 + 1.23132295065132*x2 - 1.53208888623796*x3 - 1.33826121271772*x4 + 1.4386796006773*x5 - objvar =L= 0; e90.. 1.52081193120006*x1 + 1.32524009643148*x2 - 1.47455467362025*x3 - 1.37670915138751*x4 + 1.42650089830836*x5 - objvar =L= 0; e91.. 1.4142135623731*x1 + 1.41421356237309*x2 - 1.4142135623731*x3 - 1.41421356237309*x4 + 1.4142135623731*x5 - objvar =L= 0; e92.. - objvar + x8 - x9 =E= 0; e93.. objvar + x7 - x9 =E= 0; e94.. x8 =G= SQRT(SQR(x7)+SQR(x10)); e95.. - 2*x1 - 2*x2 - 2*x3 - 2*x4 - 2*x5 + x9 =L= 0; e96.. - 1.99383466746626*x1 - 1.99626959684373*x2 - 1.99809644316372*x3 - 1.99931464995111*x4 - 1.99992384612834*x5 + x9 =L= 0; e97.. - 1.97537668119028*x1 - 1.98509230328264*x2 - 1.99238939618349*x3 - 1.99725906950915*x4 - 1.99969539031278*x5 + x9 =L= 0; e98.. - 1.94473984079535*x1 - 1.96650981512791*x2 - 1.98288972274762*x3 - 1.99383466746626*x4 - 1.99931464995111*x5 + x9 =L= 0; e99.. - 1.90211303259031*x1 - 1.94059145255199*x2 - 1.96961550602442*x3 - 1.98904379073655*x4 - 1.99878165403819*x5 + x9 =L= 0; e100.. - 1.84775906502257*x1 - 1.90743390149645*x2 - 1.95259201423987*x3 - 1.98288972274762*x4 - 1.99809644316372*x5 + x9 =L= 0; e101.. - 1.78201304837674*x1 - 1.8671608529944*x2 - 1.93185165257814*x3 - 1.97537668119028*x4 - 1.99725906950915*x5 + x9 =L= 0; e102.. - 1.70528032870818*x1 - 1.81992254175309*x2 - 1.90743390149645*x3 - 1.96650981512791*x4 - 1.99626959684373*x5 + x9 =L= 0; e103.. - 1.61803398874989*x1 - 1.76589518571785*x2 - 1.87938524157182*x3 - 1.95629520146761*x4 - 1.99512810051965*x5 + x9 =L= 0; e104.. - 1.52081193120006*x1 - 1.70528032870818*x2 - 1.84775906502257*x3 - 1.94473984079535*x4 - 1.99383466746626*x5 + x9 =L= 0; e105.. - 1.4142135623731*x1 - 1.63830408857798*x2 - 1.8126155740733*x3 - 1.93185165257814*x4 - 1.99238939618349*x5 + x9 =L= 0; e106.. - 1.29889609666037*x1 - 1.56521631370483*x2 - 1.77402166635644*x3 - 1.91763946973639*x4 - 1.99079239673436*x5 + x9 =L= 0; e107.. - 1.17557050458495*x1 - 1.48628965095479*x2 - 1.73205080756888*x3 - 1.90211303259031*x4 - 1.98904379073655*x5 + x9 =L= 0; e108.. - 1.0449971294319*x1 - 1.4018185285997*x2 - 1.68678289162577*x3 - 1.88528298218436*x4 - 1.98714371135317*x5 + x9 =L= 0; e109.. - 0.907980999479094*x1 - 1.31211805798101*x2 - 1.63830408857798*x3 - 1.8671608529944*x4 - 1.98509230328264*x5 + x9 =L= 0; e110.. - 0.76536686473018*x1 - 1.21752285801744*x2 - 1.58670668058247*x3 - 1.84775906502257*x4 - 1.98288972274762*x5 + x9 =L= 0; e111.. - 0.618033988749895*x1 - 1.11838580694149*x2 - 1.53208888623796*x3 - 1.8270909152852*x4 - 1.98053613748314*x5 + x9 =L= 0; e112.. - 0.466890727711811*x1 - 1.01507672592141*x2 - 1.47455467362025*x3 - 1.80517056869972*x4 - 1.97803172672383*x5 + x9 =L= 0; e113.. - 0.312868930080462*x1 - 0.907980999479094*x2 - 1.4142135623731*x3 - 1.78201304837674*x4 - 1.97537668119028*x5 + x9 =L= 0; e114.. - 0.15691819145569*x1 - 0.797498137850492*x2 - 1.35118041523132*x3 - 1.75763422532393*x4 - 1.97257120307446*x5 + x9 =L= 0; e115.. - 1.22460635382238E-16*x1 - 0.684040286651338*x2 - 1.28557521937308*x3 - 1.73205080756888*x4 - 1.96961550602442*x5 + x9 =L= 0; e116.. 0.15691819145569*x1 - 0.568030689407845*x2 - 1.21752285801744*x3 - 1.70528032870818*x4 - 1.96650981512791*x5 + x9 =L= 0; e117.. 0.312868930080462*x1 - 0.44990210868773*x2 - 1.14715287270209*x3 - 1.67734113589085*x4 - 1.96325436689533*x5 + x9 =L= 0; e118.. 0.466890727711811*x1 - 0.330095211721355*x2 - 1.07459921669365*x3 - 1.64825237724403*x4 - 1.95984940924166*x5 + x9 =L= 0; e119.. 0.618033988749895*x1 - 0.209056926535307*x2 - x3 - 1.61803398874989*x4 - 1.95629520146761*x5 + x9 =L= 0; e120.. 0.765366864730179*x1 - 0.087238774730672*x2 - 0.923497226470068*x3 - 1.58670668058247*x4 - 1.95259201423987*x5 + x9 =L= 0; e121.. 0.907980999479093*x1 + 0.034904812874567*x2 - 0.845236523481399*x3 - 1.55429192291394*x4 - 1.94874012957047*x5 + x9 =L= 0; e122.. 1.0449971294319*x1 + 0.15691819145569*x2 - 0.76536686473018*x3 - 1.52081193120006*x4 - 1.94473984079535*x5 + x9 =L= 0; e123.. 1.17557050458495*x1 + 0.278346201920131*x2 - 0.684040286651338*x3 - 1.48628965095479*x4 - 1.94059145255199*x5 + x9 =L= 0; e124.. 1.29889609666037*x1 + 0.398735868834395*x2 - 0.601411599008546*x3 - 1.45074874202458*x4 - 1.93629528075622*x5 + x9 =L= 0; e125.. 1.41421356237309*x1 + 0.517638090205041*x2 - 0.517638090205042*x3 - 1.4142135623731*x4 - 1.93185165257814*x5 + x9 =L= 0; e126.. 1.52081193120006*x1 + 0.634609312810184*x2 - 0.432879227876206*x3 - 1.37670915138751*x4 - 1.92726090641725*x5 + x9 =L= 0; e127.. 1.61803398874989*x1 + 0.749213186831824*x2 - 0.347296355333861*x3 - 1.33826121271772*x4 - 1.92252339187664*x5 + x9 =L= 0; e128.. 1.70528032870818*x1 + 0.861022193616591*x2 - 0.261052384440103*x3 - 1.29889609666037*x4 - 1.91763946973639*x5 + x9 =L= 0; e129.. 1.78201304837674*x1 + 0.969619240492674*x2 - 0.174311485495316*x3 - 1.25864078209967*x4 - 1.91260951192607*x5 + x9 =L= 0; e130.. 1.84775906502257*x1 + 1.07459921669365*x2 - 0.087238774730672*x3 - 1.21752285801744*x4 - 1.90743390149645*x5 + x9 =L= 0; e131.. 1.90211303259031*x1 + 1.17557050458495*x2 - 1.22460635382238E-16*x3 - 1.17557050458495*x4 - 1.90211303259031*x5 + x9 =L= 0; e132.. 1.94473984079535*x1 + 1.27215644055553*x2 + 0.0872387747306718*x3 - 1.13281247384967*x4 - 1.8966473104124*x5 + x9 =L= 0; e133.. 1.97537668119028*x1 + 1.363996720125*x2 + 0.174311485495316*x3 - 1.08927807003005*x4 - 1.89103715119863*x5 + x9 =L= 0; e134.. 1.99383466746626*x1 + 1.45074874202457*x2 + 0.261052384440103*x3 - 1.0449971294319*x4 - 1.88528298218436*x5 + x9 =L= 0; e135.. 2*x1 + 1.53208888623796*x2 + 0.347296355333861*x3 - x4 - 1.87938524157182*x5 + x9 =L= 0; e136.. 1.99383466746626*x1 + 1.60771372123443*x2 + 0.432879227876206*x3 - 0.954317520519217*x4 - 1.8733443784968*x5 + x9 =L= 0; e137.. 1.97537668119028*x1 + 1.67734113589085*x2 + 0.517638090205042*x3 - 0.907980999479094*x4 - 1.8671608529944*x5 + x9 =L= 0; e138.. 1.94473984079535*x1 + 1.7407113918798*x2 + 0.601411599008546*x3 - 0.86102219361659*x4 - 1.86083513596405*x5 + x9 =L= 0; e139.. 1.90211303259031*x1 + 1.79758809259833*x2 + 0.684040286651337*x3 - 0.813473286151601*x4 - 1.85436770913357*x5 + x9 =L= 0; e140.. 1.84775906502257*x1 + 1.84775906502257*x2 + 0.765366864730179*x3 - 0.76536686473018*x4 - 1.84775906502257*x5 + x9 =L= 0; e141.. 1.78201304837674*x1 + 1.89103715119863*x2 + 0.845236523481399*x3 - 0.7167358990906*x4 - 1.84100970690488*x5 + x9 =L= 0; e142.. 1.70528032870818*x1 + 1.92726090641725*x2 + 0.923497226470068*x3 - 0.667613718467542*x4 - 1.83412014877025*x5 + x9 =L= 0; e143.. 1.61803398874989*x1 + 1.95629520146761*x2 + x3 - 0.618033988749895*x4 - 1.8270909152852*x5 + x9 =L= 0; e144.. 1.52081193120006*x1 + 1.97803172672383*x2 + 1.07459921669365*x3 - 0.568030689407846*x4 - 1.81992254175309*x5 + x9 =L= 0; e145.. 1.4142135623731*x1 + 1.99238939618349*x2 + 1.14715287270209*x3 - 0.517638090205041*x4 - 1.8126155740733*x5 + x9 =L= 0; e146.. 1.29889609666037*x1 + 1.99931464995111*x2 + 1.21752285801744*x3 - 0.466890727711811*x4 - 1.80517056869972*x5 + x9 =L= 0; e147.. 1.17557050458495*x1 + 1.99878165403819*x2 + 1.28557521937308*x3 - 0.415823381635518*x4 - 1.79758809259833*x5 + x9 =L= 0; e148.. 1.0449971294319*x1 + 1.99079239673436*x2 + 1.35118041523132*x3 - 0.364471050984295*x4 - 1.78986872320405*x5 + x9 =L= 0; e149.. 0.907980999479094*x1 + 1.97537668119028*x2 + 1.41421356237309*x3 - 0.312868930080462*x4 - 1.78201304837674*x5 + x9 =L= 0; e150.. 0.765366864730179*x1 + 1.95259201423987*x2 + 1.47455467362025*x3 - 0.261052384440103*x4 - 1.77402166635644*x5 + x9 =L= 0; e151.. 0.618033988749895*x1 + 1.92252339187664*x2 + 1.53208888623796*x3 - 0.209056926535307*x4 - 1.76589518571785*x5 + x9 =L= 0; e152.. 0.46689072771181*x1 + 1.88528298218436*x2 + 1.58670668058247*x3 - 0.15691819145569*x4 - 1.75763422532393*x5 + x9 =L= 0; e153.. 0.31286893008046*x1 + 1.84100970690488*x2 + 1.63830408857798*x3 - 0.104671912485887*x4 - 1.74923941427879*x5 + x9 =L= 0; e154.. 0.156918191455689*x1 + 1.78986872320405*x2 + 1.68678289162577*x3 - 0.0523538966157458*x4 - 1.7407113918798*x5 + x9 =L= 0; e155.. 3.67381906146713E-16*x1 + 1.73205080756888*x2 + 1.73205080756888*x3 - 1.22460635382238E-16*x4 - 1.73205080756888*x5 + x9 =L= 0; e156.. - 0.156918191455689*x1 + 1.66777164413434*x2 + 1.77402166635644*x3 + 0.052353896615746*x4 - 1.72325832088305*x5 + x9 =L= 0; e157.. - 0.312868930080461*x1 + 1.59727102009459*x2 + 1.8126155740733*x3 + 0.104671912485887*x4 - 1.71433460140422*x5 + x9 =L= 0; e158.. - 0.46689072771181*x1 + 1.52081193120006*x2 + 1.84775906502257*x3 + 0.15691819145569*x4 - 1.70528032870818*x5 + x9 =L= 0; e159.. - 0.618033988749894*x1 + 1.4386796006773*x2 + 1.87938524157182*x3 + 0.209056926535307*x4 - 1.69609619231285*x5 + x9 =L= 0; e160.. - 0.76536686473018*x1 + 1.35118041523132*x2 + 1.90743390149645*x3 + 0.261052384440103*x4 - 1.68678289162577*x5 + x9 =L= 0; e161.. - 0.907980999479093*x1 + 1.25864078209967*x2 + 1.93185165257814*x3 + 0.312868930080462*x4 - 1.67734113589085*x5 + x9 =L= 0; e162.. - 1.0449971294319*x1 + 1.16140591142188*x2 + 1.95259201423987*x3 + 0.364471050984295*x4 - 1.66777164413434*x5 + x9 =L= 0; e163.. - 1.17557050458495*x1 + 1.05983852846641*x2 + 1.96961550602442*x3 + 0.415823381635519*x4 - 1.65807514511008*x5 + x9 =L= 0; e164.. - 1.29889609666037*x1 + 0.954317520519217*x2 + 1.98288972274762*x3 + 0.466890727711811*x4 - 1.64825237724403*x5 + x9 =L= 0; e165.. - 1.41421356237309*x1 + 0.8452365234814*x2 + 1.99238939618349*x3 + 0.517638090205041*x4 - 1.63830408857798*x5 + x9 =L= 0; e166.. - 1.52081193120006*x1 + 0.733002453448594*x2 + 1.99809644316372*x3 + 0.568030689407845*x4 - 1.62823103671264*x5 + x9 =L= 0; e167.. - 1.61803398874989*x1 + 0.618033988749895*x2 + 2*x3 + 0.618033988749895*x4 - 1.61803398874989*x5 + x9 =L= 0; e168.. - 1.70528032870818*x1 + 0.500760008108884*x2 + 1.99809644316372*x3 + 0.667613718467542*x4 - 1.60771372123443*x5 + x9 =L= 0; e169.. - 1.78201304837674*x1 + 0.381617990753089*x2 + 1.99238939618349*x3 + 0.716735899090601*x4 - 1.59727102009459*x5 + x9 =L= 0; e170.. - 1.84775906502257*x1 + 0.261052384440103*x2 + 1.98288972274762*x3 + 0.765366864730179*x4 - 1.58670668058247*x5 + x9 =L= 0; e171.. - 1.90211303259031*x1 + 0.139512947488249*x2 + 1.96961550602442*x3 + 0.813473286151601*x4 - 1.57602150721344*x5 + x9 =L= 0; e172.. - 1.94473984079535*x1 + 0.0174530709967472*x2 + 1.95259201423987*x3 + 0.861022193616591*x4 - 1.56521631370483*x5 + x9 =L= 0; e173.. - 1.97537668119028*x1 - 0.104671912485886*x2 + 1.93185165257814*x3 + 0.907980999479093*x4 - 1.55429192291394*x5 + x9 =L= 0; e174.. - 1.99383466746626*x1 - 0.226406427535813*x2 + 1.90743390149645*x3 + 0.954317520519217*x4 - 1.54324916677544*x5 + x9 =L= 0; e175.. - 2*x1 - 0.34729635533386*x2 + 1.87938524157182*x3 + x4 - 1.53208888623796*x5 + x9 =L= 0; e176.. - 1.99383466746626*x1 - 0.46689072771181*x2 + 1.84775906502257*x3 + 1.0449971294319*x4 - 1.52081193120006*x5 + x9 =L= 0; e177.. - 1.97537668119028*x1 - 0.584743409445473*x2 + 1.8126155740733*x3 + 1.08927807003005*x4 - 1.50941916044554*x5 + x9 =L= 0; e178.. - 1.94473984079535*x1 - 0.700414762518934*x2 + 1.77402166635644*x3 + 1.13281247384967*x4 - 1.497911441578*x5 + x9 =L= 0; e179.. - 1.90211303259031*x1 - 0.813473286151601*x2 + 1.73205080756888*x3 + 1.17557050458495*x4 - 1.48628965095479*x5 + x9 =L= 0; e180.. - 1.84775906502257*x1 - 0.923497226470068*x2 + 1.68678289162577*x3 + 1.21752285801744*x4 - 1.47455467362025*x5 + x9 =L= 0; e181.. - 1.78201304837674*x1 - 1.03007614982011*x2 + 1.63830408857798*x3 + 1.25864078209968*x4 - 1.46270740323834*x5 + x9 =L= 0; e182.. - 1.70528032870819*x1 - 1.13281247384966*x2 + 1.58670668058247*x3 + 1.29889609666037*x4 - 1.45074874202458*x5 + x9 =L= 0; e183.. - 1.6180339887499*x1 - 1.23132295065132*x2 + 1.53208888623796*x3 + 1.33826121271772*x4 - 1.4386796006773*x5 + x9 =L= 0; e184.. - 1.52081193120006*x1 - 1.32524009643148*x2 + 1.47455467362025*x3 + 1.37670915138751*x4 - 1.42650089830836*x5 + x9 =L= 0; e185.. - 1.4142135623731*x1 - 1.41421356237309*x2 + 1.4142135623731*x3 + 1.41421356237309*x4 - 1.4142135623731*x5 + x9 =L= 0; e186.. 2*x1 - x2 - x3 + 2*x4 - x5 =L= 0.01; e187.. 1.99383466746626*x1 - 0.892395626219618*x2 - 1.07459921669365*x3 + 1.99931464995111*x4 - 0.984847120206934*x5 =L= 0.01; e188.. 1.97537668119028*x1 - 0.781462256978548*x2 - 1.14715287270209*x3 + 1.99725906950915*x4 - 0.969619240492674*x5 =L= 0.01; e189.. 1.94473984079535*x1 - 0.667613718467541*x2 - 1.21752285801744*x3 + 1.99383466746626*x4 - 0.954317520519217*x5 =L= 0.01; e190.. 1.90211303259031*x1 - 0.551274711634*x2 - 1.28557521937308*x3 + 1.98904379073655*x4 - 0.938943125571782*x5 =L= 0.01; e191.. 1.84775906502257*x1 - 0.432879227876204*x2 - 1.35118041523132*x3 + 1.98288972274762*x4 - 0.923497226470068*x5 =L= 0.01; e192.. 1.78201304837674*x1 - 0.312868930080462*x2 - 1.41421356237309*x3 + 1.97537668119028*x4 - 0.907980999479094*x5 =L= 0.01; e193.. 1.70528032870818*x1 - 0.191691505040447*x2 - 1.47455467362025*x3 + 1.96650981512791*x4 - 0.892395626219617*x5 =L= 0.01; e194.. 1.6180339887499*x1 - 0.0697989934050018*x2 - 1.53208888623796*x3 + 1.95629520146761*x4 - 0.876742293578155*x5 =L= 0.01; e195.. 1.52081193120006*x1 + 0.0523538966157442*x2 - 1.58670668058247*x3 + 1.94473984079535*x4 - 0.86102219361659*x5 =L= 0.01; e196.. 1.41421356237309*x1 + 0.174311485495316*x2 - 1.63830408857798*x3 + 1.93185165257814*x4 - 0.845236523481399*x5 =L= 0.01; e197.. 1.29889609666037*x1 + 0.29561882225922*x2 - 1.68678289162577*x3 + 1.91763946973639*x4 - 0.829386485312478*x5 =L= 0.01; e198.. 1.17557050458495*x1 + 0.41582338163552*x2 - 1.73205080756888*x3 + 1.90211303259031*x4 - 0.8134732861516*x5 =L= 0.01; e199.. 1.0449971294319*x1 + 0.534476752156511*x2 - 1.77402166635644*x3 + 1.88528298218436*x4 - 0.797498137850493*x5 =L= 0.01; e200.. 0.907980999479093*x1 + 0.651136308914314*x2 - 1.8126155740733*x3 + 1.8671608529944*x4 - 0.781462256978547*x5 =L= 0.01; e201.. 0.765366864730181*x1 + 0.76536686473018*x2 - 1.84775906502257*x3 + 1.84775906502257*x4 - 0.76536686473018*x5 =L= 0.01; e202.. 0.618033988749892*x1 + 0.876742293578155*x2 - 1.87938524157182*x3 + 1.8270909152852*x4 - 0.749213186831824*x5 =L= 0.01; e203.. 0.466890727711811*x1 + 0.984847120206934*x2 - 1.90743390149645*x3 + 1.80517056869972*x4 - 0.733002453448595*x5 =L= 0.01; e204.. 0.312868930080464*x1 + 1.08927807003005*x2 - 1.93185165257814*x3 + 1.78201304837674*x4 - 0.716735899090601*x5 =L= 0.01; e205.. 0.156918191455688*x1 + 1.18964557350268*x2 - 1.95259201423987*x3 + 1.75763422532393*x4 - 0.700414762518935*x5 =L= 0.01; e206.. 8.57224447675664E-16*x1 + 1.28557521937308*x2 - 1.96961550602442*x3 + 1.73205080756888*x4 - 0.684040286651338*x5 =L= 0.01; e207.. - 0.15691819145569*x1 + 1.37670915138751*x2 - 1.98288972274762*x3 + 1.70528032870818*x4 - 0.667613718467542*x5 =L= 0.01; e208.. - 0.312868930080459*x1 + 1.46270740323834*x2 - 1.99238939618349*x3 + 1.67734113589085*x4 - 0.651136308914314*x5 =L= 0.01; e209.. - 0.466890727711813*x1 + 1.54324916677544*x2 - 1.99809644316372*x3 + 1.64825237724403*x4 - 0.634609312810184*x5 =L= 0.01; e210.. - 0.618033988749894*x1 + 1.61803398874989*x2 - 2*x3 + 1.6180339887499*x4 - 0.618033988749895*x5 =L= 0.01; e211.. - 0.76536686473018*x1 + 1.68678289162577*x2 - 1.99809644316372*x3 + 1.58670668058247*x4 - 0.601411599008546*x5 =L= 0.01; e212.. - 0.907980999479094*x1 + 1.74923941427879*x2 - 1.99238939618349*x3 + 1.55429192291394*x4 - 0.584743409445474*x5 =L= 0.01; e213.. - 1.0449971294319*x1 + 1.80517056869972*x2 - 1.98288972274762*x3 + 1.52081193120006*x4 - 0.568030689407846*x5 =L= 0.01; e214.. - 1.17557050458495*x1 + 1.85436770913358*x2 - 1.96961550602442*x3 + 1.48628965095479*x4 - 0.551274711633998*x5 =L= 0.01; e215.. - 1.29889609666036*x1 + 1.8966473104124*x2 - 1.95259201423987*x3 + 1.45074874202458*x4 - 0.534476752156514*x5 =L= 0.01; e216.. - 1.4142135623731*x1 + 1.93185165257814*x2 - 1.93185165257814*x3 + 1.4142135623731*x4 - 0.517638090205041*x5 =L= 0.01; e217.. - 1.52081193120006*x1 + 1.95984940924166*x2 - 1.90743390149645*x3 + 1.37670915138751*x4 - 0.500760008108883*x5 =L= 0.01; e218.. - 1.61803398874989*x1 + 1.98053613748314*x2 - 1.87938524157182*x3 + 1.33826121271772*x4 - 0.483843791199335*x5 =L= 0.01; e219.. - 1.70528032870818*x1 + 1.99383466746626*x2 - 1.84775906502257*x3 + 1.29889609666037*x4 - 0.466890727711811*x5 =L= 0.01; e220.. - 1.78201304837674*x1 + 1.99969539031278*x2 - 1.8126155740733*x3 + 1.25864078209967*x4 - 0.44990210868773*x5 =L= 0.01; e221.. - 1.84775906502257*x1 + 1.99809644316372*x2 - 1.77402166635644*x3 + 1.21752285801744*x4 - 0.432879227876206*x5 =L= 0.01; e222.. - 1.90211303259031*x1 + 1.98904379073655*x2 - 1.73205080756888*x3 + 1.17557050458495*x4 - 0.415823381635519*x5 =L= 0.01; e223.. - 1.94473984079535*x1 + 1.97257120307446*x2 - 1.68678289162577*x3 + 1.13281247384967*x4 - 0.398735868834394*x5 =L= 0.01; e224.. - 1.97537668119028*x1 + 1.94874012957047*x2 - 1.63830408857798*x3 + 1.08927807003005*x4 - 0.38161799075309*x5 =L= 0.01; e225.. - 1.99383466746626*x1 + 1.91763946973639*x2 - 1.58670668058247*x3 + 1.0449971294319*x4 - 0.364471050984295*x5 =L= 0.01; e226.. - 2*x1 + 1.87938524157182*x2 - 1.53208888623796*x3 + x4 - 0.347296355333861*x5 =L= 0.01; e227.. - 1.99383466746626*x1 + 1.83412014877025*x2 - 1.47455467362025*x3 + 0.954317520519216*x4 - 0.330095211721355*x5 =L= 0.01; e228.. - 1.97537668119028*x1 + 1.78201304837674*x2 - 1.4142135623731*x3 + 0.907980999479094*x4 - 0.312868930080462*x5 =L= 0.01; e229.. - 1.94473984079535*x1 + 1.72325832088305*x2 - 1.35118041523132*x3 + 0.86102219361659*x4 - 0.295618822259221*x5 =L= 0.01; e230.. - 1.90211303259031*x1 + 1.65807514511008*x2 - 1.28557521937308*x3 + 0.8134732861516*x4 - 0.278346201920131*x5 =L= 0.01; e231.. - 1.84775906502257*x1 + 1.58670668058247*x2 - 1.21752285801744*x3 + 0.765366864730181*x4 - 0.261052384440103*x5 =L= 0.01; e232.. - 1.78201304837674*x1 + 1.50941916044554*x2 - 1.14715287270209*x3 + 0.716735899090601*x4 - 0.243738686810295*x5 =L= 0.01; e233.. - 1.70528032870819*x1 + 1.42650089830836*x2 - 1.07459921669365*x3 + 0.667613718467542*x4 - 0.226406427535814*x5 =L= 0.01; e234.. - 1.6180339887499*x1 + 1.33826121271772*x2 - x3 + 0.618033988749895*x4 - 0.209056926535307*x5 =L= 0.01; e235.. - 1.52081193120006*x1 + 1.24502927327524*x2 - 0.923497226470069*x3 + 0.568030689407845*x4 - 0.191691505040448*x5 =L= 0.01; e236.. - 1.41421356237309*x1 + 1.14715287270209*x2 - 0.845236523481399*x3 + 0.517638090205041*x4 - 0.174311485495316*x5 =L= 0.01; e237.. - 1.29889609666037*x1 + 1.0449971294319*x2 - 0.765366864730181*x3 + 0.46689072771181*x4 - 0.15691819145569*x5 =L= 0.01; e238.. - 1.17557050458494*x1 + 0.938943125571782*x2 - 0.684040286651337*x3 + 0.415823381635518*x4 - 0.13951294748825*x5 =L= 0.01; e239.. - 1.0449971294319*x1 + 0.829386485312479*x2 - 0.601411599008546*x3 + 0.364471050984296*x4 - 0.122097079069714*x5 =L= 0.01; e240.. - 0.907980999479096*x1 + 0.716735899090602*x2 - 0.517638090205043*x3 + 0.312868930080462*x4 - 0.104671912485888*x5 =L= 0.01; e241.. - 0.765366864730181*x1 + 0.601411599008545*x2 - 0.432879227876206*x3 + 0.261052384440103*x4 - 0.087238774730672*x5 =L= 0.01; e242.. - 0.618033988749896*x1 + 0.483843791199338*x2 - 0.347296355333861*x3 + 0.209056926535308*x4 - 0.0697989934050022*x5 =L= 0.01; e243.. - 0.466890727711811*x1 + 0.364471050984294*x2 - 0.261052384440103*x3 + 0.156918191455689*x4 - 0.0523538966157463*x5 =L= 0.01; e244.. - 0.312868930080465*x1 + 0.243738686810295*x2 - 0.174311485495317*x3 + 0.104671912485889*x4 - 0.0349048128745672*x5 =L= 0.01; e245.. - 0.156918191455688*x1 + 0.122097079069714*x2 - 0.0872387747306707*x3 + 0.052353896615747*x4 - 0.0174530709967478*x5 =L= 0.01; e246.. - 1.10214571844014E-15*x1 + 8.57224447675664E-16*x2 - 6.12303176911189E-16*x3 + 3.67381906146713E-16*x4 - 1.22460635382238E-16*x5 =L= 0.01; e247.. - 2*x1 + x2 + x3 - 2*x4 + x5 =L= 0.01; e248.. - 1.99383466746626*x1 + 0.892395626219618*x2 + 1.07459921669365*x3 - 1.99931464995111*x4 + 0.984847120206934*x5 =L= 0.01; e249.. - 1.97537668119028*x1 + 0.781462256978548*x2 + 1.14715287270209*x3 - 1.99725906950915*x4 + 0.969619240492674*x5 =L= 0.01; e250.. - 1.94473984079535*x1 + 0.667613718467541*x2 + 1.21752285801744*x3 - 1.99383466746626*x4 + 0.954317520519217*x5 =L= 0.01; e251.. - 1.90211303259031*x1 + 0.551274711634*x2 + 1.28557521937308*x3 - 1.98904379073655*x4 + 0.938943125571782*x5 =L= 0.01; e252.. - 1.84775906502257*x1 + 0.432879227876204*x2 + 1.35118041523132*x3 - 1.98288972274762*x4 + 0.923497226470068*x5 =L= 0.01; e253.. - 1.78201304837674*x1 + 0.312868930080462*x2 + 1.41421356237309*x3 - 1.97537668119028*x4 + 0.907980999479094*x5 =L= 0.01; e254.. - 1.70528032870818*x1 + 0.191691505040447*x2 + 1.47455467362025*x3 - 1.96650981512791*x4 + 0.892395626219617*x5 =L= 0.01; e255.. - 1.6180339887499*x1 + 0.0697989934050018*x2 + 1.53208888623796*x3 - 1.95629520146761*x4 + 0.876742293578155*x5 =L= 0.01; e256.. - 1.52081193120006*x1 - 0.0523538966157442*x2 + 1.58670668058247*x3 - 1.94473984079535*x4 + 0.86102219361659*x5 =L= 0.01; e257.. - 1.41421356237309*x1 - 0.174311485495316*x2 + 1.63830408857798*x3 - 1.93185165257814*x4 + 0.845236523481399*x5 =L= 0.01; e258.. - 1.29889609666037*x1 - 0.29561882225922*x2 + 1.68678289162577*x3 - 1.91763946973639*x4 + 0.829386485312478*x5 =L= 0.01; e259.. - 1.17557050458495*x1 - 0.41582338163552*x2 + 1.73205080756888*x3 - 1.90211303259031*x4 + 0.8134732861516*x5 =L= 0.01; e260.. - 1.0449971294319*x1 - 0.534476752156511*x2 + 1.77402166635644*x3 - 1.88528298218436*x4 + 0.797498137850493*x5 =L= 0.01; e261.. - 0.907980999479093*x1 - 0.651136308914314*x2 + 1.8126155740733*x3 - 1.8671608529944*x4 + 0.781462256978547*x5 =L= 0.01; e262.. - 0.765366864730181*x1 - 0.76536686473018*x2 + 1.84775906502257*x3 - 1.84775906502257*x4 + 0.76536686473018*x5 =L= 0.01; e263.. - 0.618033988749892*x1 - 0.876742293578155*x2 + 1.87938524157182*x3 - 1.8270909152852*x4 + 0.749213186831824*x5 =L= 0.01; e264.. - 0.466890727711811*x1 - 0.984847120206934*x2 + 1.90743390149645*x3 - 1.80517056869972*x4 + 0.733002453448595*x5 =L= 0.01; e265.. - 0.312868930080464*x1 - 1.08927807003005*x2 + 1.93185165257814*x3 - 1.78201304837674*x4 + 0.716735899090601*x5 =L= 0.01; e266.. - 0.156918191455688*x1 - 1.18964557350268*x2 + 1.95259201423987*x3 - 1.75763422532393*x4 + 0.700414762518935*x5 =L= 0.01; e267.. - 8.57224447675664E-16*x1 - 1.28557521937308*x2 + 1.96961550602442*x3 - 1.73205080756888*x4 + 0.684040286651338*x5 =L= 0.01; e268.. 0.15691819145569*x1 - 1.37670915138751*x2 + 1.98288972274762*x3 - 1.70528032870818*x4 + 0.667613718467542*x5 =L= 0.01; e269.. 0.312868930080459*x1 - 1.46270740323834*x2 + 1.99238939618349*x3 - 1.67734113589085*x4 + 0.651136308914314*x5 =L= 0.01; e270.. 0.466890727711813*x1 - 1.54324916677544*x2 + 1.99809644316372*x3 - 1.64825237724403*x4 + 0.634609312810184*x5 =L= 0.01; e271.. 0.618033988749894*x1 - 1.61803398874989*x2 + 2*x3 - 1.6180339887499*x4 + 0.618033988749895*x5 =L= 0.01; e272.. 0.76536686473018*x1 - 1.68678289162577*x2 + 1.99809644316372*x3 - 1.58670668058247*x4 + 0.601411599008546*x5 =L= 0.01; e273.. 0.907980999479094*x1 - 1.74923941427879*x2 + 1.99238939618349*x3 - 1.55429192291394*x4 + 0.584743409445474*x5 =L= 0.01; e274.. 1.0449971294319*x1 - 1.80517056869972*x2 + 1.98288972274762*x3 - 1.52081193120006*x4 + 0.568030689407846*x5 =L= 0.01; e275.. 1.17557050458495*x1 - 1.85436770913358*x2 + 1.96961550602442*x3 - 1.48628965095479*x4 + 0.551274711633998*x5 =L= 0.01; e276.. 1.29889609666036*x1 - 1.8966473104124*x2 + 1.95259201423987*x3 - 1.45074874202458*x4 + 0.534476752156514*x5 =L= 0.01; e277.. 1.4142135623731*x1 - 1.93185165257814*x2 + 1.93185165257814*x3 - 1.4142135623731*x4 + 0.517638090205041*x5 =L= 0.01; e278.. 1.52081193120006*x1 - 1.95984940924166*x2 + 1.90743390149645*x3 - 1.37670915138751*x4 + 0.500760008108883*x5 =L= 0.01; e279.. 1.61803398874989*x1 - 1.98053613748314*x2 + 1.87938524157182*x3 - 1.33826121271772*x4 + 0.483843791199335*x5 =L= 0.01; e280.. 1.70528032870818*x1 - 1.99383466746626*x2 + 1.84775906502257*x3 - 1.29889609666037*x4 + 0.466890727711811*x5 =L= 0.01; e281.. 1.78201304837674*x1 - 1.99969539031278*x2 + 1.8126155740733*x3 - 1.25864078209967*x4 + 0.44990210868773*x5 =L= 0.01; e282.. 1.84775906502257*x1 - 1.99809644316372*x2 + 1.77402166635644*x3 - 1.21752285801744*x4 + 0.432879227876206*x5 =L= 0.01; e283.. 1.90211303259031*x1 - 1.98904379073655*x2 + 1.73205080756888*x3 - 1.17557050458495*x4 + 0.415823381635519*x5 =L= 0.01; e284.. 1.94473984079535*x1 - 1.97257120307446*x2 + 1.68678289162577*x3 - 1.13281247384967*x4 + 0.398735868834394*x5 =L= 0.01; e285.. 1.97537668119028*x1 - 1.94874012957047*x2 + 1.63830408857798*x3 - 1.08927807003005*x4 + 0.38161799075309*x5 =L= 0.01; e286.. 1.99383466746626*x1 - 1.91763946973639*x2 + 1.58670668058247*x3 - 1.0449971294319*x4 + 0.364471050984295*x5 =L= 0.01; e287.. 2*x1 - 1.87938524157182*x2 + 1.53208888623796*x3 - x4 + 0.347296355333861*x5 =L= 0.01; e288.. 1.99383466746626*x1 - 1.83412014877025*x2 + 1.47455467362025*x3 - 0.954317520519216*x4 + 0.330095211721355*x5 =L= 0.01; e289.. 1.97537668119028*x1 - 1.78201304837674*x2 + 1.4142135623731*x3 - 0.907980999479094*x4 + 0.312868930080462*x5 =L= 0.01; e290.. 1.94473984079535*x1 - 1.72325832088305*x2 + 1.35118041523132*x3 - 0.86102219361659*x4 + 0.295618822259221*x5 =L= 0.01; e291.. 1.90211303259031*x1 - 1.65807514511008*x2 + 1.28557521937308*x3 - 0.8134732861516*x4 + 0.278346201920131*x5 =L= 0.01; e292.. 1.84775906502257*x1 - 1.58670668058247*x2 + 1.21752285801744*x3 - 0.765366864730181*x4 + 0.261052384440103*x5 =L= 0.01; e293.. 1.78201304837674*x1 - 1.50941916044554*x2 + 1.14715287270209*x3 - 0.716735899090601*x4 + 0.243738686810295*x5 =L= 0.01; e294.. 1.70528032870819*x1 - 1.42650089830836*x2 + 1.07459921669365*x3 - 0.667613718467542*x4 + 0.226406427535814*x5 =L= 0.01; e295.. 1.6180339887499*x1 - 1.33826121271772*x2 + x3 - 0.618033988749895*x4 + 0.209056926535307*x5 =L= 0.01; e296.. 1.52081193120006*x1 - 1.24502927327524*x2 + 0.923497226470069*x3 - 0.568030689407845*x4 + 0.191691505040448*x5 =L= 0.01; e297.. 1.41421356237309*x1 - 1.14715287270209*x2 + 0.845236523481399*x3 - 0.517638090205041*x4 + 0.174311485495316*x5 =L= 0.01; e298.. 1.29889609666037*x1 - 1.0449971294319*x2 + 0.765366864730181*x3 - 0.46689072771181*x4 + 0.15691819145569*x5 =L= 0.01; e299.. 1.17557050458494*x1 - 0.938943125571782*x2 + 0.684040286651337*x3 - 0.415823381635518*x4 + 0.13951294748825*x5 =L= 0.01; e300.. 1.0449971294319*x1 - 0.829386485312479*x2 + 0.601411599008546*x3 - 0.364471050984296*x4 + 0.122097079069714*x5 =L= 0.01; e301.. 0.907980999479096*x1 - 0.716735899090602*x2 + 0.517638090205043*x3 - 0.312868930080462*x4 + 0.104671912485888*x5 =L= 0.01; e302.. 0.765366864730181*x1 - 0.601411599008545*x2 + 0.432879227876206*x3 - 0.261052384440103*x4 + 0.087238774730672*x5 =L= 0.01; e303.. 0.618033988749896*x1 - 0.483843791199338*x2 + 0.347296355333861*x3 - 0.209056926535308*x4 + 0.0697989934050022*x5 =L= 0.01; e304.. 0.466890727711811*x1 - 0.364471050984294*x2 + 0.261052384440103*x3 - 0.156918191455689*x4 + 0.0523538966157463*x5 =L= 0.01; e305.. 0.312868930080465*x1 - 0.243738686810295*x2 + 0.174311485495317*x3 - 0.104671912485889*x4 + 0.0349048128745672*x5 =L= 0.01; e306.. 0.156918191455688*x1 - 0.122097079069714*x2 + 0.0872387747306707*x3 - 0.052353896615747*x4 + 0.0174530709967478*x5 =L= 0.01; e307.. 1.10214571844014E-15*x1 - 8.57224447675664E-16*x2 + 6.12303176911189E-16*x3 - 3.67381906146713E-16*x4 + 1.22460635382238E-16*x5 =L= 0.01; * set non default bounds objvar.lo = 1; x10.fx = 2; * set non default levels * set non default marginals Model m / all /; m.limrow=0; m.limcol=0; $if NOT '%gams.u1%' == '' $include '%gams.u1%' Solve m using NLP minimizing objvar;