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eigenals.gms

* NLP written by GAMS Convert at 10/06/06 11:32:00 * * Equation counts * Total E G L N X C * 1 1 0 0 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 111 111 0 0 0 0 0 0 * FX 0 0 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 111 1 110 0 * * Solve m using NLP 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,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52,x53 ,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69,x70 ,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86,x87 ,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102,x103 ,x104,x105,x106,x107,x108,x109,x110,objvar; Equations e1; e1.. - ((-1 + x2*x2*x1 + x3*x3*x12 + x4*x4*x23 + x5*x5*x34 + x6*x6*x45 + x7*x7 *x56 + x8*x8*x67 + x9*x9*x78 + x10*x10*x89 + x11*x11*x100)*(-1 + x2*x2*x1 + x3*x3*x12 + x4*x4*x23 + x5*x5*x34 + x6*x6*x45 + x7*x7*x56 + x8*x8*x67 + x9*x9*x78 + x10*x10*x89 + x11*x11*x100) + (-1 + x2*x2 + x3*x3 + x4*x4 + x5*x5 + x6*x6 + x7*x7 + x8*x8 + x9*x9 + x10*x10 + x11*x11)*(-1 + x2*x2 + x3*x3 + x4*x4 + x5*x5 + x6*x6 + x7*x7 + x8*x8 + x9*x9 + x10*x10 + x11* x11) + (x2*x13*x1 + x3*x14*x12 + x4*x15*x23 + x5*x16*x34 + x6*x17*x45 + x7 *x18*x56 + x8*x19*x67 + x9*x20*x78 + x10*x21*x89 + x11*x22*x100)*(x2*x13* x1 + x3*x14*x12 + x4*x15*x23 + x5*x16*x34 + x6*x17*x45 + x7*x18*x56 + x8* x19*x67 + x9*x20*x78 + x10*x21*x89 + x11*x22*x100) + (x2*x13 + x3*x14 + x4 *x15 + x5*x16 + x6*x17 + x7*x18 + x8*x19 + x9*x20 + x10*x21 + x11*x22)*(x2 *x13 + x3*x14 + x4*x15 + x5*x16 + x6*x17 + x7*x18 + x8*x19 + x9*x20 + x10* x21 + x11*x22) + (-2 + x13*x13*x1 + x14*x14*x12 + x15*x15*x23 + x16*x16* x34 + x17*x17*x45 + x18*x18*x56 + x19*x19*x67 + x20*x20*x78 + x21*x21*x89 + x22*x22*x100)*(-2 + x13*x13*x1 + x14*x14*x12 + x15*x15*x23 + x16*x16* x34 + x17*x17*x45 + x18*x18*x56 + x19*x19*x67 + x20*x20*x78 + x21*x21*x89 + x22*x22*x100) + (-1 + x13*x13 + x14*x14 + x15*x15 + x16*x16 + x17*x17 + x18*x18 + x19*x19 + x20*x20 + x21*x21 + x22*x22)*(-1 + x13*x13 + x14* x14 + x15*x15 + x16*x16 + x17*x17 + x18*x18 + x19*x19 + x20*x20 + x21*x21 + x22*x22) + (x2*x24*x1 + x3*x25*x12 + x4*x26*x23 + x5*x27*x34 + x6*x28* x45 + x7*x29*x56 + x8*x30*x67 + x9*x31*x78 + x10*x32*x89 + x11*x33*x100)*( x2*x24*x1 + x3*x25*x12 + x4*x26*x23 + x5*x27*x34 + x6*x28*x45 + x7*x29*x56 + x8*x30*x67 + x9*x31*x78 + x10*x32*x89 + x11*x33*x100) + (x2*x24 + x3* x25 + x4*x26 + x5*x27 + x6*x28 + x7*x29 + x8*x30 + x9*x31 + x10*x32 + x11* x33)*(x2*x24 + x3*x25 + x4*x26 + x5*x27 + x6*x28 + x7*x29 + x8*x30 + x9* x31 + x10*x32 + x11*x33) + (x13*x24*x1 + x14*x25*x12 + x15*x26*x23 + x16* x27*x34 + x17*x28*x45 + x18*x29*x56 + x19*x30*x67 + x20*x31*x78 + x21*x32* x89 + x22*x33*x100)*(x13*x24*x1 + x14*x25*x12 + x15*x26*x23 + x16*x27*x34 + x17*x28*x45 + x18*x29*x56 + x19*x30*x67 + x20*x31*x78 + x21*x32*x89 + x22*x33*x100) + (x13*x24 + x14*x25 + x15*x26 + x16*x27 + x17*x28 + x18*x29 + x19*x30 + x20*x31 + x21*x32 + x22*x33)*(x13*x24 + x14*x25 + x15*x26 + x16*x27 + x17*x28 + x18*x29 + x19*x30 + x20*x31 + x21*x32 + x22*x33) + (-3 + x24*x24*x1 + x25*x25*x12 + x26*x26*x23 + x27*x27*x34 + x28*x28*x45 + x29*x29*x56 + x30*x30*x67 + x31*x31*x78 + x32*x32*x89 + x33*x33*x100)*(-3 + x24*x24*x1 + x25*x25*x12 + x26*x26*x23 + x27*x27*x34 + x28*x28*x45 + x29*x29*x56 + x30*x30*x67 + x31*x31*x78 + x32*x32*x89 + x33*x33*x100) + (- 1 + x24*x24 + x25*x25 + x26*x26 + x27*x27 + x28*x28 + x29*x29 + x30*x30 + x31*x31 + x32*x32 + x33*x33)*(-1 + x24*x24 + x25*x25 + x26*x26 + x27*x27 + x28*x28 + x29*x29 + x30*x30 + x31*x31 + x32*x32 + x33*x33) + (x2*x35*x1 + x3*x36*x12 + x4*x37*x23 + x5*x38*x34 + x6*x39*x45 + x7*x40*x56 + x8*x41 *x67 + x9*x42*x78 + x10*x43*x89 + x11*x44*x100)*(x2*x35*x1 + x3*x36*x12 + x4*x37*x23 + x5*x38*x34 + x6*x39*x45 + x7*x40*x56 + x8*x41*x67 + x9*x42* x78 + x10*x43*x89 + x11*x44*x100) + (x2*x35 + x3*x36 + x4*x37 + x5*x38 + x6*x39 + x7*x40 + x8*x41 + x9*x42 + x10*x43 + x11*x44)*(x2*x35 + x3*x36 + x4*x37 + x5*x38 + x6*x39 + x7*x40 + x8*x41 + x9*x42 + x10*x43 + x11*x44) + (x13*x35*x1 + x14*x36*x12 + x15*x37*x23 + x16*x38*x34 + x17*x39*x45 + x18*x40*x56 + x19*x41*x67 + x20*x42*x78 + x21*x43*x89 + x22*x44*x100)*(x13 *x35*x1 + x14*x36*x12 + x15*x37*x23 + x16*x38*x34 + x17*x39*x45 + x18*x40* x56 + x19*x41*x67 + x20*x42*x78 + x21*x43*x89 + x22*x44*x100) + (x13*x35 + x14*x36 + x15*x37 + x16*x38 + x17*x39 + x18*x40 + x19*x41 + x20*x42 + x21*x43 + x22*x44)*(x13*x35 + x14*x36 + x15*x37 + x16*x38 + x17*x39 + x18* x40 + x19*x41 + x20*x42 + x21*x43 + x22*x44) + (x24*x35*x1 + x25*x36*x12 + x26*x37*x23 + x27*x38*x34 + x28*x39*x45 + x29*x40*x56 + x30*x41*x67 + x31*x42*x78 + x32*x43*x89 + x33*x44*x100)*(x24*x35*x1 + x25*x36*x12 + x26* x37*x23 + x27*x38*x34 + x28*x39*x45 + x29*x40*x56 + x30*x41*x67 + x31*x42* x78 + x32*x43*x89 + x33*x44*x100) + (x24*x35 + x25*x36 + x26*x37 + x27*x38 + x28*x39 + x29*x40 + x30*x41 + x31*x42 + x32*x43 + x33*x44)*(x24*x35 + x25*x36 + x26*x37 + x27*x38 + x28*x39 + x29*x40 + x30*x41 + x31*x42 + x32* x43 + x33*x44) + (-4 + x35*x35*x1 + x36*x36*x12 + x37*x37*x23 + x38*x38* x34 + x39*x39*x45 + x40*x40*x56 + x41*x41*x67 + x42*x42*x78 + x43*x43*x89 + x44*x44*x100)*(-4 + x35*x35*x1 + x36*x36*x12 + x37*x37*x23 + x38*x38* x34 + x39*x39*x45 + x40*x40*x56 + x41*x41*x67 + x42*x42*x78 + x43*x43*x89 + x44*x44*x100) + (-1 + x35*x35 + x36*x36 + x37*x37 + x38*x38 + x39*x39 + x40*x40 + x41*x41 + x42*x42 + x43*x43 + x44*x44)*(-1 + x35*x35 + x36* x36 + x37*x37 + x38*x38 + x39*x39 + x40*x40 + x41*x41 + x42*x42 + x43*x43 + x44*x44) + (x2*x46*x1 + x3*x47*x12 + x4*x48*x23 + x5*x49*x34 + x6*x50* x45 + x7*x51*x56 + x8*x52*x67 + x9*x53*x78 + x10*x54*x89 + x11*x55*x100)*( x2*x46*x1 + x3*x47*x12 + x4*x48*x23 + x5*x49*x34 + x6*x50*x45 + x7*x51*x56 + x8*x52*x67 + x9*x53*x78 + x10*x54*x89 + x11*x55*x100) + (x2*x46 + x3* x47 + x4*x48 + x5*x49 + x6*x50 + x7*x51 + x8*x52 + x9*x53 + x10*x54 + x11* x55)*(x2*x46 + x3*x47 + x4*x48 + x5*x49 + x6*x50 + x7*x51 + x8*x52 + x9* x53 + x10*x54 + x11*x55) + (x13*x46*x1 + x14*x47*x12 + x15*x48*x23 + x16* x49*x34 + x17*x50*x45 + x18*x51*x56 + x19*x52*x67 + x20*x53*x78 + x21*x54* x89 + x22*x55*x100)*(x13*x46*x1 + x14*x47*x12 + x15*x48*x23 + x16*x49*x34 + x17*x50*x45 + x18*x51*x56 + x19*x52*x67 + x20*x53*x78 + x21*x54*x89 + x22*x55*x100) + (x13*x46 + x14*x47 + x15*x48 + x16*x49 + x17*x50 + x18*x51 + x19*x52 + x20*x53 + x21*x54 + x22*x55)*(x13*x46 + x14*x47 + x15*x48 + x16*x49 + x17*x50 + x18*x51 + x19*x52 + x20*x53 + x21*x54 + x22*x55) + ( x24*x46*x1 + x25*x47*x12 + x26*x48*x23 + x27*x49*x34 + x28*x50*x45 + x29* x51*x56 + x30*x52*x67 + x31*x53*x78 + x32*x54*x89 + x33*x55*x100)*(x24*x46 *x1 + x25*x47*x12 + x26*x48*x23 + x27*x49*x34 + x28*x50*x45 + x29*x51*x56 + x30*x52*x67 + x31*x53*x78 + x32*x54*x89 + x33*x55*x100) + (x24*x46 + x25*x47 + x26*x48 + x27*x49 + x28*x50 + x29*x51 + x30*x52 + x31*x53 + x32* x54 + x33*x55)*(x24*x46 + x25*x47 + x26*x48 + x27*x49 + x28*x50 + x29*x51 + x30*x52 + x31*x53 + x32*x54 + x33*x55) + (x35*x46*x1 + x36*x47*x12 + x37*x48*x23 + x38*x49*x34 + x39*x50*x45 + x40*x51*x56 + x41*x52*x67 + x42* x53*x78 + x43*x54*x89 + x44*x55*x100)*(x35*x46*x1 + x36*x47*x12 + x37*x48* x23 + x38*x49*x34 + x39*x50*x45 + x40*x51*x56 + x41*x52*x67 + x42*x53*x78 + x43*x54*x89 + x44*x55*x100) + (x35*x46 + x36*x47 + x37*x48 + x38*x49 + x39*x50 + x40*x51 + x41*x52 + x42*x53 + x43*x54 + x44*x55)*(x35*x46 + x36* x47 + x37*x48 + x38*x49 + x39*x50 + x40*x51 + x41*x52 + x42*x53 + x43*x54 + x44*x55) + (-5 + x46*x46*x1 + x47*x47*x12 + x48*x48*x23 + x49*x49*x34 + x50*x50*x45 + x51*x51*x56 + x52*x52*x67 + x53*x53*x78 + x54*x54*x89 + x55*x55*x100)*(-5 + x46*x46*x1 + x47*x47*x12 + x48*x48*x23 + x49*x49*x34 + x50*x50*x45 + x51*x51*x56 + x52*x52*x67 + x53*x53*x78 + x54*x54*x89 + x55*x55*x100) + (-1 + x46*x46 + x47*x47 + x48*x48 + x49*x49 + x50*x50 + x51*x51 + x52*x52 + x53*x53 + x54*x54 + x55*x55)*(-1 + x46*x46 + x47*x47 + x48*x48 + x49*x49 + x50*x50 + x51*x51 + x52*x52 + x53*x53 + x54*x54 + x55*x55) + (x2*x57*x1 + x3*x58*x12 + x4*x59*x23 + x5*x60*x34 + x6*x61*x45 + x7*x62*x56 + x8*x63*x67 + x9*x64*x78 + x10*x65*x89 + x11*x66*x100)*(x2* x57*x1 + x3*x58*x12 + x4*x59*x23 + x5*x60*x34 + x6*x61*x45 + x7*x62*x56 + x8*x63*x67 + x9*x64*x78 + x10*x65*x89 + x11*x66*x100) + (x2*x57 + x3*x58 + x4*x59 + x5*x60 + x6*x61 + x7*x62 + x8*x63 + x9*x64 + x10*x65 + x11*x66 )*(x2*x57 + x3*x58 + x4*x59 + x5*x60 + x6*x61 + x7*x62 + x8*x63 + x9*x64 + x10*x65 + x11*x66) + (x13*x57*x1 + x14*x58*x12 + x15*x59*x23 + x16*x60* x34 + x17*x61*x45 + x18*x62*x56 + x19*x63*x67 + x20*x64*x78 + x21*x65*x89 + x22*x66*x100)*(x13*x57*x1 + x14*x58*x12 + x15*x59*x23 + x16*x60*x34 + x17*x61*x45 + x18*x62*x56 + x19*x63*x67 + x20*x64*x78 + x21*x65*x89 + x22* x66*x100) + (x13*x57 + x14*x58 + x15*x59 + x16*x60 + x17*x61 + x18*x62 + x19*x63 + x20*x64 + x21*x65 + x22*x66)*(x13*x57 + x14*x58 + x15*x59 + x16* x60 + x17*x61 + x18*x62 + x19*x63 + x20*x64 + x21*x65 + x22*x66) + (x24* x57*x1 + x25*x58*x12 + x26*x59*x23 + x27*x60*x34 + x28*x61*x45 + x29*x62* x56 + x30*x63*x67 + x31*x64*x78 + x32*x65*x89 + x33*x66*x100)*(x24*x57*x1 + x25*x58*x12 + x26*x59*x23 + x27*x60*x34 + x28*x61*x45 + x29*x62*x56 + x30*x63*x67 + x31*x64*x78 + x32*x65*x89 + x33*x66*x100) + (x24*x57 + x25* x58 + x26*x59 + x27*x60 + x28*x61 + x29*x62 + x30*x63 + x31*x64 + x32*x65 + x33*x66)*(x24*x57 + x25*x58 + x26*x59 + x27*x60 + x28*x61 + x29*x62 + x30*x63 + x31*x64 + x32*x65 + x33*x66) + (x35*x57*x1 + x36*x58*x12 + x37* x59*x23 + x38*x60*x34 + x39*x61*x45 + x40*x62*x56 + x41*x63*x67 + x42*x64* x78 + x43*x65*x89 + x44*x66*x100)*(x35*x57*x1 + x36*x58*x12 + x37*x59*x23 + x38*x60*x34 + x39*x61*x45 + x40*x62*x56 + x41*x63*x67 + x42*x64*x78 + x43*x65*x89 + x44*x66*x100) + (x35*x57 + x36*x58 + x37*x59 + x38*x60 + x39 *x61 + x40*x62 + x41*x63 + x42*x64 + x43*x65 + x44*x66)*(x35*x57 + x36*x58 + x37*x59 + x38*x60 + x39*x61 + x40*x62 + x41*x63 + x42*x64 + x43*x65 + x44*x66) + (x46*x57*x1 + x47*x58*x12 + 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x4*x70*x23 + x5*x71*x34 + x6*x72*x45 + x7*x73*x56 + x8*x74*x67 + x9*x75* x78 + x10*x76*x89 + x11*x77*x100)*(x2*x68*x1 + x3*x69*x12 + x4*x70*x23 + x5*x71*x34 + x6*x72*x45 + x7*x73*x56 + x8*x74*x67 + x9*x75*x78 + x10*x76* x89 + x11*x77*x100) + (x2*x68 + x3*x69 + x4*x70 + x5*x71 + x6*x72 + x7*x73 + x8*x74 + x9*x75 + x10*x76 + x11*x77)*(x2*x68 + x3*x69 + x4*x70 + x5*x71 + x6*x72 + x7*x73 + x8*x74 + x9*x75 + x10*x76 + x11*x77) + (x13*x68*x1 + x14*x69*x12 + x15*x70*x23 + x16*x71*x34 + x17*x72*x45 + x18*x73*x56 + x19* x74*x67 + x20*x75*x78 + x21*x76*x89 + x22*x77*x100)*(x13*x68*x1 + x14*x69* x12 + x15*x70*x23 + x16*x71*x34 + x17*x72*x45 + x18*x73*x56 + x19*x74*x67 + x20*x75*x78 + x21*x76*x89 + x22*x77*x100) + (x13*x68 + x14*x69 + x15* x70 + x16*x71 + x17*x72 + x18*x73 + x19*x74 + x20*x75 + x21*x76 + x22*x77) *(x13*x68 + x14*x69 + x15*x70 + x16*x71 + x17*x72 + x18*x73 + x19*x74 + x20*x75 + x21*x76 + x22*x77) + (x24*x68*x1 + x25*x69*x12 + x26*x70*x23 + x27*x71*x34 + x28*x72*x45 + x29*x73*x56 + 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x7*x106 + x8*x107 + x9*x108 + x10*x109 + x11*x110)*(x2*x101 + x3* x102 + x4*x103 + x5*x104 + x6*x105 + x7*x106 + x8*x107 + x9*x108 + x10* x109 + x11*x110) + (x13*x101*x1 + x14*x102*x12 + x15*x103*x23 + x16*x104* x34 + x17*x105*x45 + x18*x106*x56 + x19*x107*x67 + x20*x108*x78 + x21*x109 *x89 + x22*x110*x100)*(x13*x101*x1 + x14*x102*x12 + x15*x103*x23 + x16* x104*x34 + x17*x105*x45 + x18*x106*x56 + x19*x107*x67 + x20*x108*x78 + x21 *x109*x89 + x22*x110*x100) + (x13*x101 + x14*x102 + x15*x103 + x16*x104 + x17*x105 + x18*x106 + x19*x107 + x20*x108 + x21*x109 + x22*x110)*(x13*x101 + x14*x102 + x15*x103 + x16*x104 + x17*x105 + x18*x106 + x19*x107 + x20* x108 + x21*x109 + x22*x110) + (x24*x101*x1 + x25*x102*x12 + x26*x103*x23 + x27*x104*x34 + x28*x105*x45 + x29*x106*x56 + x30*x107*x67 + x31*x108* x78 + x32*x109*x89 + x33*x110*x100)*(x24*x101*x1 + x25*x102*x12 + x26*x103 *x23 + x27*x104*x34 + x28*x105*x45 + x29*x106*x56 + x30*x107*x67 + x31* x108*x78 + x32*x109*x89 + x33*x110*x100) + (x24*x101 + x25*x102 + x26*x103 + x27*x104 + x28*x105 + x29*x106 + x30*x107 + x31*x108 + x32*x109 + x33* x110)*(x24*x101 + x25*x102 + x26*x103 + x27*x104 + x28*x105 + x29*x106 + x30*x107 + x31*x108 + x32*x109 + x33*x110) + (x35*x101*x1 + x36*x102*x12 + x37*x103*x23 + x38*x104*x34 + x39*x105*x45 + x40*x106*x56 + x41*x107* x67 + x42*x108*x78 + x43*x109*x89 + x44*x110*x100)*(x35*x101*x1 + x36*x102 *x12 + x37*x103*x23 + x38*x104*x34 + x39*x105*x45 + x40*x106*x56 + x41* x107*x67 + x42*x108*x78 + x43*x109*x89 + x44*x110*x100) + (x35*x101 + x36* x102 + x37*x103 + x38*x104 + x39*x105 + x40*x106 + x41*x107 + x42*x108 + x43*x109 + x44*x110)*(x35*x101 + x36*x102 + x37*x103 + x38*x104 + x39*x105 + x40*x106 + x41*x107 + x42*x108 + x43*x109 + x44*x110) + (x46*x101*x1 + x47*x102*x12 + x48*x103*x23 + x49*x104*x34 + x50*x105*x45 + x51*x106*x56 + x52*x107*x67 + x53*x108*x78 + x54*x109*x89 + x55*x110*x100)*(x46*x101* x1 + x47*x102*x12 + x48*x103*x23 + x49*x104*x34 + x50*x105*x45 + x51*x106* x56 + x52*x107*x67 + x53*x108*x78 + x54*x109*x89 + x55*x110*x100) + (x46* x101 + x47*x102 + x48*x103 + x49*x104 + x50*x105 + x51*x106 + x52*x107 + x53*x108 + x54*x109 + x55*x110)*(x46*x101 + x47*x102 + x48*x103 + x49*x104 + x50*x105 + x51*x106 + x52*x107 + x53*x108 + x54*x109 + x55*x110) + (x57 *x101*x1 + x58*x102*x12 + x59*x103*x23 + x60*x104*x34 + x61*x105*x45 + x62 *x106*x56 + x63*x107*x67 + x64*x108*x78 + x65*x109*x89 + x66*x110*x100)*( x57*x101*x1 + x58*x102*x12 + x59*x103*x23 + x60*x104*x34 + x61*x105*x45 + x62*x106*x56 + x63*x107*x67 + x64*x108*x78 + x65*x109*x89 + x66*x110*x100) + (x57*x101 + x58*x102 + x59*x103 + x60*x104 + x61*x105 + x62*x106 + x63* x107 + x64*x108 + x65*x109 + x66*x110)*(x57*x101 + x58*x102 + x59*x103 + x60*x104 + x61*x105 + x62*x106 + x63*x107 + x64*x108 + x65*x109 + x66*x110 ) + (x68*x101*x1 + x69*x102*x12 + x70*x103*x23 + x71*x104*x34 + x72*x105* x45 + x73*x106*x56 + x74*x107*x67 + x75*x108*x78 + x76*x109*x89 + x77*x110 *x100)*(x68*x101*x1 + x69*x102*x12 + x70*x103*x23 + x71*x104*x34 + x72* x105*x45 + x73*x106*x56 + x74*x107*x67 + x75*x108*x78 + x76*x109*x89 + x77 *x110*x100) + (x68*x101 + x69*x102 + x70*x103 + x71*x104 + x72*x105 + x73* x106 + x74*x107 + x75*x108 + x76*x109 + x77*x110)*(x68*x101 + x69*x102 + x70*x103 + x71*x104 + x72*x105 + x73*x106 + x74*x107 + x75*x108 + x76*x109 + x77*x110) + (x79*x101*x1 + x80*x102*x12 + x81*x103*x23 + x82*x104*x34 + x83*x105*x45 + x84*x106*x56 + x85*x107*x67 + x86*x108*x78 + x87*x109* x89 + x88*x110*x100)*(x79*x101*x1 + x80*x102*x12 + x81*x103*x23 + x82*x104 *x34 + x83*x105*x45 + x84*x106*x56 + x85*x107*x67 + x86*x108*x78 + x87* x109*x89 + x88*x110*x100) + (x79*x101 + x80*x102 + x81*x103 + x82*x104 + x83*x105 + x84*x106 + x85*x107 + x86*x108 + x87*x109 + x88*x110)*(x79*x101 + x80*x102 + x81*x103 + x82*x104 + x83*x105 + x84*x106 + x85*x107 + x86* x108 + x87*x109 + x88*x110) + (x90*x101*x1 + x91*x102*x12 + x92*x103*x23 + x93*x104*x34 + x94*x105*x45 + x95*x106*x56 + x96*x107*x67 + x97*x108* x78 + x98*x109*x89 + x99*x110*x100)*(x90*x101*x1 + x91*x102*x12 + x92*x103 *x23 + x93*x104*x34 + x94*x105*x45 + x95*x106*x56 + x96*x107*x67 + x97* x108*x78 + x98*x109*x89 + x99*x110*x100) + (x90*x101 + x91*x102 + x92*x103 + x93*x104 + x94*x105 + x95*x106 + x96*x107 + x97*x108 + x98*x109 + x99* x110)*(x90*x101 + x91*x102 + x92*x103 + x93*x104 + x94*x105 + x95*x106 + x96*x107 + x97*x108 + x98*x109 + x99*x110) + (-10 + x101*x101*x1 + x102* x102*x12 + x103*x103*x23 + x104*x104*x34 + x105*x105*x45 + x106*x106*x56 + x107*x107*x67 + x108*x108*x78 + x109*x109*x89 + x110*x110*x100)*(-10 + x101*x101*x1 + x102*x102*x12 + x103*x103*x23 + x104*x104*x34 + x105*x105* x45 + x106*x106*x56 + x107*x107*x67 + x108*x108*x78 + x109*x109*x89 + x110 *x110*x100) + (-1 + x101*x101 + x102*x102 + x103*x103 + x104*x104 + x105* x105 + x106*x106 + x107*x107 + x108*x108 + x109*x109 + x110*x110)*(-1 + x101*x101 + x102*x102 + x103*x103 + x104*x104 + x105*x105 + x106*x106 + x107*x107 + x108*x108 + x109*x109 + x110*x110)) + objvar =E= 0; * set non default bounds * set non default levels x1.l = 1; x2.l = 1; x12.l = 1; x14.l = 1; x23.l = 1; x26.l = 1; x34.l = 1; x38.l = 1; x45.l = 1; x50.l = 1; x56.l = 1; x62.l = 1; x67.l = 1; x74.l = 1; x78.l = 1; x86.l = 1; x89.l = 1; x98.l = 1; x100.l = 1; x110.l = 1; * 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;