pca2.gms
* NLP written by GAMS Convert at 06/18/05 10:42:28
*
* Equation counts
* Total E G L N X C
* 50 50 0 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 99 99 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 1282 1 1281 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,objvar;
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;
e1.. x1*x1 + x2*x2 + x3*x3 + x4*x4 + x5*x5 + x6*x6 + x7*x7 + x8*x8 + x9*x9 +
x10*x10 + x11*x11 + x12*x12 + x13*x13 =E= 1;
e2.. x14*x14 + x15*x15 + x16*x16 + x17*x17 + x18*x18 + x19*x19 + x20*x20 + x21*
x21 + x22*x22 + x23*x23 + x24*x24 + x25*x25 + x26*x26 =E= 1;
e3.. x27*x27 + x28*x28 + x29*x29 + x30*x30 + x31*x31 + x32*x32 + x33*x33 + x34*
x34 + x35*x35 + x36*x36 + x37*x37 + x38*x38 + x39*x39 =E= 1;
e4.. x40*x40 + x41*x41 + x42*x42 + x43*x43 + x44*x44 + x45*x45 + x46*x46 + x47*
x47 + x48*x48 + x49*x49 + x50*x50 + x51*x51 + x52*x52 =E= 1;
e5.. x53*x53 + x54*x54 + x55*x55 + x56*x56 + x57*x57 + x58*x58 + x59*x59 + x60*
x60 + x61*x61 + x62*x62 + x63*x63 + x64*x64 + x65*x65 =E= 1;
e6.. x66*x66 + x67*x67 + x68*x68 + x69*x69 + x70*x70 + x71*x71 + x72*x72 + x73*
x73 + x74*x74 + x75*x75 + x76*x76 + x77*x77 + x78*x78 =E= 1;
e7.. x79*x79 + x80*x80 + x81*x81 + x82*x82 + x83*x83 + x84*x84 + x85*x85 + x86*
x86 + x87*x87 + x88*x88 + x89*x89 + x90*x90 + x91*x91 =E= 1;
e8.. x1*x14 + x2*x15 + x3*x16 + x4*x17 + x5*x18 + x6*x19 + x7*x20 + x8*x21 + x9
*x22 + x10*x23 + x11*x24 + x12*x25 + x13*x26 =E= 0;
e9.. x1*x27 + x2*x28 + x3*x29 + x4*x30 + x5*x31 + x6*x32 + x7*x33 + x8*x34 + x9
*x35 + x10*x36 + x11*x37 + x12*x38 + x13*x39 =E= 0;
e10.. x1*x40 + x2*x41 + x3*x42 + x4*x43 + x5*x44 + x6*x45 + x7*x46 + x8*x47 +
x9*x48 + x10*x49 + x11*x50 + x12*x51 + x13*x52 =E= 0;
e11.. x1*x53 + x2*x54 + x3*x55 + x4*x56 + x5*x57 + x6*x58 + x7*x59 + x8*x60 +
x9*x61 + x10*x62 + x11*x63 + x12*x64 + x13*x65 =E= 0;
e12.. x1*x66 + x2*x67 + x3*x68 + x4*x69 + x5*x70 + x6*x71 + x7*x72 + x8*x73 +
x9*x74 + x10*x75 + x11*x76 + x12*x77 + x13*x78 =E= 0;
e13.. x1*x79 + x2*x80 + x3*x81 + x4*x82 + x5*x83 + x6*x84 + x7*x85 + x8*x86 +
x9*x87 + x10*x88 + x11*x89 + x12*x90 + x13*x91 =E= 0;
e14.. x14*x1 + x15*x2 + x16*x3 + x17*x4 + x18*x5 + x19*x6 + x20*x7 + x21*x8 +
x22*x9 + x23*x10 + x24*x11 + x25*x12 + x26*x13 =E= 0;
e15.. x14*x27 + x15*x28 + x16*x29 + x17*x30 + x18*x31 + x19*x32 + x20*x33 + x21
*x34 + x22*x35 + x23*x36 + x24*x37 + x25*x38 + x26*x39 =E= 0;
e16.. x14*x40 + x15*x41 + x16*x42 + x17*x43 + x18*x44 + x19*x45 + x20*x46 + x21
*x47 + x22*x48 + x23*x49 + x24*x50 + x25*x51 + x26*x52 =E= 0;
e17.. x14*x53 + x15*x54 + x16*x55 + x17*x56 + x18*x57 + x19*x58 + x20*x59 + x21
*x60 + x22*x61 + x23*x62 + x24*x63 + x25*x64 + x26*x65 =E= 0;
e18.. x14*x66 + x15*x67 + x16*x68 + x17*x69 + x18*x70 + x19*x71 + x20*x72 + x21
*x73 + x22*x74 + x23*x75 + x24*x76 + x25*x77 + x26*x78 =E= 0;
e19.. x14*x79 + x15*x80 + x16*x81 + x17*x82 + x18*x83 + x19*x84 + x20*x85 + x21
*x86 + x22*x87 + x23*x88 + x24*x89 + x25*x90 + x26*x91 =E= 0;
e20.. x27*x1 + x28*x2 + x29*x3 + x30*x4 + x31*x5 + x32*x6 + x33*x7 + x34*x8 +
x35*x9 + x36*x10 + x37*x11 + x38*x12 + x39*x13 =E= 0;
e21.. x27*x14 + x28*x15 + x29*x16 + x30*x17 + x31*x18 + x32*x19 + x33*x20 + x34
*x21 + x35*x22 + x36*x23 + x37*x24 + x38*x25 + x39*x26 =E= 0;
e22.. x27*x40 + x28*x41 + x29*x42 + x30*x43 + x31*x44 + x32*x45 + x33*x46 + x34
*x47 + x35*x48 + x36*x49 + x37*x50 + x38*x51 + x39*x52 =E= 0;
e23.. x27*x53 + x28*x54 + x29*x55 + x30*x56 + x31*x57 + x32*x58 + x33*x59 + x34
*x60 + x35*x61 + x36*x62 + x37*x63 + x38*x64 + x39*x65 =E= 0;
e24.. x27*x66 + x28*x67 + x29*x68 + x30*x69 + x31*x70 + x32*x71 + x33*x72 + x34
*x73 + x35*x74 + x36*x75 + x37*x76 + x38*x77 + x39*x78 =E= 0;
e25.. x27*x79 + x28*x80 + x29*x81 + x30*x82 + x31*x83 + x32*x84 + x33*x85 + x34
*x86 + x35*x87 + x36*x88 + x37*x89 + x38*x90 + x39*x91 =E= 0;
e26.. x40*x1 + x41*x2 + x42*x3 + x43*x4 + x44*x5 + x45*x6 + x46*x7 + x47*x8 +
x48*x9 + x49*x10 + x50*x11 + x51*x12 + x52*x13 =E= 0;
e27.. x40*x14 + x41*x15 + x42*x16 + x43*x17 + x44*x18 + x45*x19 + x46*x20 + x47
*x21 + x48*x22 + x49*x23 + x50*x24 + x51*x25 + x52*x26 =E= 0;
e28.. x40*x27 + x41*x28 + x42*x29 + x43*x30 + x44*x31 + x45*x32 + x46*x33 + x47
*x34 + x48*x35 + x49*x36 + x50*x37 + x51*x38 + x52*x39 =E= 0;
e29.. x40*x53 + x41*x54 + x42*x55 + x43*x56 + x44*x57 + x45*x58 + x46*x59 + x47
*x60 + x48*x61 + x49*x62 + x50*x63 + x51*x64 + x52*x65 =E= 0;
e30.. x40*x66 + x41*x67 + x42*x68 + x43*x69 + x44*x70 + x45*x71 + x46*x72 + x47
*x73 + x48*x74 + x49*x75 + x50*x76 + x51*x77 + x52*x78 =E= 0;
e31.. x40*x79 + x41*x80 + x42*x81 + x43*x82 + x44*x83 + x45*x84 + x46*x85 + x47
*x86 + x48*x87 + x49*x88 + x50*x89 + x51*x90 + x52*x91 =E= 0;
e32.. x53*x1 + x54*x2 + x55*x3 + x56*x4 + x57*x5 + x58*x6 + x59*x7 + x60*x8 +
x61*x9 + x62*x10 + x63*x11 + x64*x12 + x65*x13 =E= 0;
e33.. x53*x14 + x54*x15 + x55*x16 + x56*x17 + x57*x18 + x58*x19 + x59*x20 + x60
*x21 + x61*x22 + x62*x23 + x63*x24 + x64*x25 + x65*x26 =E= 0;
e34.. x53*x27 + x54*x28 + x55*x29 + x56*x30 + x57*x31 + x58*x32 + x59*x33 + x60
*x34 + x61*x35 + x62*x36 + x63*x37 + x64*x38 + x65*x39 =E= 0;
e35.. x53*x40 + x54*x41 + x55*x42 + x56*x43 + x57*x44 + x58*x45 + x59*x46 + x60
*x47 + x61*x48 + x62*x49 + x63*x50 + x64*x51 + x65*x52 =E= 0;
e36.. x53*x66 + x54*x67 + x55*x68 + x56*x69 + x57*x70 + x58*x71 + x59*x72 + x60
*x73 + x61*x74 + x62*x75 + x63*x76 + x64*x77 + x65*x78 =E= 0;
e37.. x53*x79 + x54*x80 + x55*x81 + x56*x82 + x57*x83 + x58*x84 + x59*x85 + x60
*x86 + x61*x87 + x62*x88 + x63*x89 + x64*x90 + x65*x91 =E= 0;
e38.. x66*x1 + x67*x2 + x68*x3 + x69*x4 + x70*x5 + x71*x6 + x72*x7 + x73*x8 +
x74*x9 + x75*x10 + x76*x11 + x77*x12 + x78*x13 =E= 0;
e39.. x66*x14 + x67*x15 + x68*x16 + x69*x17 + x70*x18 + x71*x19 + x72*x20 + x73
*x21 + x74*x22 + x75*x23 + x76*x24 + x77*x25 + x78*x26 =E= 0;
e40.. x66*x27 + x67*x28 + x68*x29 + x69*x30 + x70*x31 + x71*x32 + x72*x33 + x73
*x34 + x74*x35 + x75*x36 + x76*x37 + x77*x38 + x78*x39 =E= 0;
e41.. x66*x40 + x67*x41 + x68*x42 + x69*x43 + x70*x44 + x71*x45 + x72*x46 + x73
*x47 + x74*x48 + x75*x49 + x76*x50 + x77*x51 + x78*x52 =E= 0;
e42.. x66*x53 + x67*x54 + x68*x55 + x69*x56 + x70*x57 + x71*x58 + x72*x59 + x73
*x60 + x74*x61 + x75*x62 + x76*x63 + x77*x64 + x78*x65 =E= 0;
e43.. x66*x79 + x67*x80 + x68*x81 + x69*x82 + x70*x83 + x71*x84 + x72*x85 + x73
*x86 + x74*x87 + x75*x88 + x76*x89 + x77*x90 + x78*x91 =E= 0;
e44.. x79*x1 + x80*x2 + x81*x3 + x82*x4 + x83*x5 + x84*x6 + x85*x7 + x86*x8 +
x87*x9 + x88*x10 + x89*x11 + x90*x12 + x91*x13 =E= 0;
e45.. x79*x14 + x80*x15 + x81*x16 + x82*x17 + x83*x18 + x84*x19 + x85*x20 + x86
*x21 + x87*x22 + x88*x23 + x89*x24 + x90*x25 + x91*x26 =E= 0;
e46.. x79*x27 + x80*x28 + x81*x29 + x82*x30 + x83*x31 + x84*x32 + x85*x33 + x86
*x34 + x87*x35 + x88*x36 + x89*x37 + x90*x38 + x91*x39 =E= 0;
e47.. x79*x40 + x80*x41 + x81*x42 + x82*x43 + x83*x44 + x84*x45 + x85*x46 + x86
*x47 + x87*x48 + x88*x49 + x89*x50 + x90*x51 + x91*x52 =E= 0;
e48.. x79*x53 + x80*x54 + x81*x55 + x82*x56 + x83*x57 + x84*x58 + x85*x59 + x86
*x60 + x87*x61 + x88*x62 + x89*x63 + x90*x64 + x91*x65 =E= 0;
e49.. x79*x66 + x80*x67 + x81*x68 + x82*x69 + x83*x70 + x84*x71 + x85*x72 + x86
*x73 + x87*x74 + x88*x75 + x89*x76 + x90*x77 + x91*x78 =E= 0;
e50.. - (sqr(0.32315272909425*x1 - 0.41599707254793*x2 - 4.86471414937865*x3
+ 1.29900651331309*x4 + 1.37547395903746*x5 - 0.31967997022056*x6 -
1.18702134057305*x7 + 1.15320888763318*x8 - 0.710020901069939*x9 -
1.01731067548043*x10 + 0.724070400973414*x11 + 0.999392489004581*x12 -
0.00611905005372418*x13 + x92) + sqr(0.32315272909425*x14 -
0.41599707254793*x15 - 4.86471414937865*x16 + 1.29900651331309*x17 +
1.37547395903746*x18 - 0.31967997022056*x19 - 1.18702134057305*x20 +
1.15320888763318*x21 - 0.710020901069939*x22 - 1.01731067548043*x23 +
0.724070400973414*x24 + 0.999392489004581*x25 - 0.00611905005372418*x26
+ x93) + sqr(0.32315272909425*x27 - 0.41599707254793*x28 -
4.86471414937865*x29 + 1.29900651331309*x30 + 1.37547395903746*x31 -
0.31967997022056*x32 - 1.18702134057305*x33 + 1.15320888763318*x34 -
0.710020901069939*x35 - 1.01731067548043*x36 + 0.724070400973414*x37 +
0.999392489004581*x38 - 0.00611905005372418*x39 + x94) + sqr(
0.32315272909425*x40 - 0.41599707254793*x41 - 4.86471414937865*x42 +
1.29900651331309*x43 + 1.37547395903746*x44 - 0.31967997022056*x45 -
1.18702134057305*x46 + 1.15320888763318*x47 - 0.710020901069939*x48 -
1.01731067548043*x49 + 0.724070400973414*x50 + 0.999392489004581*x51 -
0.00611905005372418*x52 + x95) + sqr(0.32315272909425*x53 -
0.41599707254793*x54 - 4.86471414937865*x55 + 1.29900651331309*x56 +
1.37547395903746*x57 - 0.31967997022056*x58 - 1.18702134057305*x59 +
1.15320888763318*x60 - 0.710020901069939*x61 - 1.01731067548043*x62 +
0.724070400973414*x63 + 0.999392489004581*x64 - 0.00611905005372418*x65
+ x96) + sqr(0.32315272909425*x66 - 0.41599707254793*x67 -
4.86471414937865*x68 + 1.29900651331309*x69 + 1.37547395903746*x70 -
0.31967997022056*x71 - 1.18702134057305*x72 + 1.15320888763318*x73 -
0.710020901069939*x74 - 1.01731067548043*x75 + 0.724070400973414*x76 +
0.999392489004581*x77 - 0.00611905005372418*x78 + x97) + sqr(
0.32315272909425*x79 - 0.41599707254793*x80 - 4.86471414937865*x81 +
1.29900651331309*x82 + 1.37547395903746*x83 - 0.31967997022056*x84 -
1.18702134057305*x85 + 1.15320888763318*x86 - 0.710020901069939*x87 -
1.01731067548043*x88 + 0.724070400973414*x89 + 0.999392489004581*x90 -
0.00611905005372418*x91 + x98) + sqr(0.36300528945993*x1 -
0.237672552691449*x2 + 0.260542147268581*x3 - 1.57098561921639*x4 -
2.21333700146184*x5 + 0.624782467950266*x6 + 0.218174284515045*x7 +
0.962119619583899*x8 + 0.107595751236342*x9 + 0.262606845513057*x10 +
0.526618617131504*x11 + 1.03693127757937*x12 - 1.98203409295263*x13 + x92
) + sqr(0.36300528945993*x14 - 0.237672552691449*x15 + 0.260542147268581*
x16 - 1.57098561921639*x17 - 2.21333700146184*x18 + 0.624782467950266*x19
+ 0.218174284515045*x20 + 0.962119619583899*x21 + 0.107595751236342*x22
+ 0.262606845513057*x23 + 0.526618617131504*x24 + 1.03693127757937*x25
- 1.98203409295263*x26 + x93) + sqr(0.36300528945993*x27 -
0.237672552691449*x28 + 0.260542147268581*x29 - 1.57098561921639*x30 -
2.21333700146184*x31 + 0.624782467950266*x32 + 0.218174284515045*x33 +
0.962119619583899*x34 + 0.107595751236342*x35 + 0.262606845513057*x36 +
0.526618617131504*x37 + 1.03693127757937*x38 - 1.98203409295263*x39 + x94
) + sqr(0.36300528945993*x40 - 0.237672552691449*x41 + 0.260542147268581*
x42 - 1.57098561921639*x43 - 2.21333700146184*x44 + 0.624782467950266*x45
+ 0.218174284515045*x46 + 0.962119619583899*x47 + 0.107595751236342*x48
+ 0.262606845513057*x49 + 0.526618617131504*x50 + 1.03693127757937*x51
- 1.98203409295263*x52 + x95) + sqr(0.36300528945993*x53 -
0.237672552691449*x54 + 0.260542147268581*x55 - 1.57098561921639*x56 -
2.21333700146184*x57 + 0.624782467950266*x58 + 0.218174284515045*x59 +
0.962119619583899*x60 + 0.107595751236342*x61 + 0.262606845513057*x62 +
0.526618617131504*x63 + 1.03693127757937*x64 - 1.98203409295263*x65 + x96
) + sqr(0.36300528945993*x66 - 0.237672552691449*x67 + 0.260542147268581*
x68 - 1.57098561921639*x69 - 2.21333700146184*x70 + 0.624782467950266*x71
+ 0.218174284515045*x72 + 0.962119619583899*x73 + 0.107595751236342*x74
+ 0.262606845513057*x75 + 0.526618617131504*x76 + 1.03693127757937*x77
- 1.98203409295263*x78 + x97) + sqr(0.36300528945993*x79 -
0.237672552691449*x80 + 0.260542147268581*x81 - 1.57098561921639*x82 -
2.21333700146184*x83 + 0.624782467950266*x84 + 0.218174284515045*x85 +
0.962119619583899*x86 + 0.107595751236342*x87 + 0.262606845513057*x88 +
0.526618617131504*x89 + 1.03693127757937*x90 - 1.98203409295263*x91 + x98
) + sqr(0.239112281881376*x1 - 0.371756771369676*x2 - 4.93085271894682*x3
- 0.755962085251311*x4 - 1.20039708530956*x5 - 0.843537851675487*x6 +
1.43053988128271*x7 - 2.09927233750628*x8 - 0.67338903155342*x9 -
0.168952291231008*x10 - 1.64919428858539*x11 - 1.26769122418522*x12 -
1.80523985996193*x13 + x92) + sqr(0.239112281881376*x14 -
0.371756771369676*x15 - 4.93085271894682*x16 - 0.755962085251311*x17 -
1.20039708530956*x18 - 0.843537851675487*x19 + 1.43053988128271*x20 -
2.09927233750628*x21 - 0.67338903155342*x22 - 0.168952291231008*x23 -
1.64919428858539*x24 - 1.26769122418522*x25 - 1.80523985996193*x26 + x93)
+ sqr(0.239112281881376*x27 - 0.371756771369676*x28 - 4.93085271894682*
x29 - 0.755962085251311*x30 - 1.20039708530956*x31 - 0.843537851675487*
x32 + 1.43053988128271*x33 - 2.09927233750628*x34 - 0.67338903155342*x35
- 0.168952291231008*x36 - 1.64919428858539*x37 - 1.26769122418522*x38 -
1.80523985996193*x39 + x94) + sqr(0.239112281881376*x40 -
0.371756771369676*x41 - 4.93085271894682*x42 - 0.755962085251311*x43 -
1.20039708530956*x44 - 0.843537851675487*x45 + 1.43053988128271*x46 -
2.09927233750628*x47 - 0.67338903155342*x48 - 0.168952291231008*x49 -
1.64919428858539*x50 - 1.26769122418522*x51 - 1.80523985996193*x52 + x95)
+ sqr(0.239112281881376*x53 - 0.371756771369676*x54 - 4.93085271894682*
x55 - 0.755962085251311*x56 - 1.20039708530956*x57 - 0.843537851675487*
x58 + 1.43053988128271*x59 - 2.09927233750628*x60 - 0.67338903155342*x61
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2.09927233750628*x73 - 0.67338903155342*x74 - 0.168952291231008*x75 -
1.64919428858539*x76 - 1.26769122418522*x77 - 1.80523985996193*x78 + x97)
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x84 + 1.43053988128271*x85 - 2.09927233750628*x86 - 0.67338903155342*x87
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0.339953225356109*x80 + 0.0405815610625593*x81 + 1.28095924672539*x82 +
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1.05707129642293*x86 + 1.39942354596344*x87 + 1.53971504783882*x88 +
0.91495377504424*x89 + 0.595607268823303*x90 + 0.716596189638769*x91 +
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0.754107406605474*x31 - 3.18229912587242*x32 + 0.263335874641452*x33 -
0.0236067878498154*x34 + 0.0435577522624278*x35 - 0.423651508968738*x36
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0.279661180742033*x1 - 0.330440609974098*x2 - 2.7208241355863*x3 -
0.591955140476439*x4 + 1.51224449434049*x5 - 0.410175143693126*x6 +
1.0055076740567*x7 + 0.853830388823701*x8 + 2.27768313005582*x9 -
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1.10564783794087*x13 + x92) + sqr(0.279661180742033*x14 -
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1.10564783794087*x39 + x94) + sqr(0.279661180742033*x40 -
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0.360722300089948*x18 + 0.756122221213181*x19 - 1.11373031260567*x20 +
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1.16015424354936*x73 + 0.831955863357913*x74 + 0.498726142784624*x75 +
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0.685873361527385*x13 + x92) + sqr(0.255466650095042*x14 -
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0.759635633029338*x61 + 0.239596569999201*x62 - 1.06371179805559*x63 +
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0.267017161137856*x66 - 0.212271545545548*x67 - 2.43444133758458*x68 +
0.593497167015559*x69 + 0.0578667707020058*x70 + 0.929434920223776*x71 +
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0.239596569999201*x75 - 1.06371179805559*x76 + 0.242563704369936*x77 +
0.572374917451128*x78 + x97) + sqr(0.267017161137856*x79 -
0.212271545545548*x80 - 2.43444133758458*x81 + 0.593497167015559*x82 +
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0.887110229843195*x86 - 0.759635633029338*x87 + 0.239596569999201*x88 -
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0.743986448307218*x13 + x92) + sqr(0.331110253388087*x14 -
0.337912237118826*x15 + 3.23232734857356*x16 - 1.08948695620709*x17 +
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x93) + sqr(0.331110253388087*x27 - 0.337912237118826*x28 +
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0.318679734131439*x32 - 0.490634892974101*x33 + 0.520009228771053*x34 -
0.620071058859933*x35 - 2.4935437196231*x36 - 0.535909083783753*x37 +
0.079319700589175*x38 - 0.743986448307218*x39 + x94) + sqr(
0.331110253388087*x40 - 0.337912237118826*x41 + 3.23232734857356*x42 -
1.08948695620709*x43 + 0.327181836517587*x44 - 0.318679734131439*x45 -
0.490634892974101*x46 + 0.520009228771053*x47 - 0.620071058859933*x48 -
2.4935437196231*x49 - 0.535909083783753*x50 + 0.079319700589175*x51 -
0.743986448307218*x52 + x95) + sqr(0.331110253388087*x53 -
0.337912237118826*x54 + 3.23232734857356*x55 - 1.08948695620709*x56 +
0.327181836517587*x57 - 0.318679734131439*x58 - 0.490634892974101*x59 +
0.520009228771053*x60 - 0.620071058859933*x61 - 2.4935437196231*x62 -
0.535909083783753*x63 + 0.079319700589175*x64 - 0.743986448307218*x65 +
x96) + sqr(0.331110253388087*x66 - 0.337912237118826*x67 +
3.23232734857356*x68 - 1.08948695620709*x69 + 0.327181836517587*x70 -
0.318679734131439*x71 - 0.490634892974101*x72 + 0.520009228771053*x73 -
0.620071058859933*x74 - 2.4935437196231*x75 - 0.535909083783753*x76 +
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0.331110253388087*x79 - 0.337912237118826*x80 + 3.23232734857356*x81 -
1.08948695620709*x82 + 0.327181836517587*x83 - 0.318679734131439*x84 -
0.490634892974101*x85 + 0.520009228771053*x86 - 0.620071058859933*x87 -
2.4935437196231*x88 - 0.535909083783753*x89 + 0.079319700589175*x90 -
0.743986448307218*x91 + x98) + sqr(0.154484996784575*x1 -
0.263576442394841*x2 - 1.1451695669451*x3 - 0.413822927559708*x4 +
0.909058316795406*x5 + 0.251279011345898*x6 - 0.759086277115942*x7 -
1.9024784150332*x8 - 0.632103507366713*x9 - 0.392581750395755*x10 -
1.875825851325*x11 - 0.112463688312601*x12 - 1.37928554835864*x13 + x92)
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x19 - 0.759086277115942*x20 - 1.9024784150332*x21 - 0.632103507366713*x22
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0.263576442394841*x28 - 1.1451695669451*x29 - 0.413822927559708*x30 +
0.909058316795406*x31 + 0.251279011345898*x32 - 0.759086277115942*x33 -
1.9024784150332*x34 - 0.632103507366713*x35 - 0.392581750395755*x36 -
1.875825851325*x37 - 0.112463688312601*x38 - 1.37928554835864*x39 + x94)
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1.37928554835864*x52 + x95) + sqr(0.154484996784575*x53 -
0.263576442394841*x54 - 1.1451695669451*x55 - 0.413822927559708*x56 +
0.909058316795406*x57 + 0.251279011345898*x58 - 0.759086277115942*x59 -
1.9024784150332*x60 - 0.632103507366713*x61 - 0.392581750395755*x62 -
1.875825851325*x63 - 0.112463688312601*x64 - 1.37928554835864*x65 + x96)
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1.37928554835864*x78 + x97) + sqr(0.154484996784575*x79 -
0.263576442394841*x80 - 1.1451695669451*x81 - 0.413822927559708*x82 +
0.909058316795406*x83 + 0.251279011345898*x84 - 0.759086277115942*x85 -
1.9024784150332*x86 - 0.632103507366713*x87 - 0.392581750395755*x88 -
1.875825851325*x89 - 0.112463688312601*x90 - 1.37928554835864*x91 + x98)
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0.485079549501376*x18 - 0.609212001348882*x19 - 0.0171034365854375*x20 +
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0.316387871282984*x54 - 2.47633011094406*x55 - 0.0822114175490398*x56 -
0.485079549501376*x57 - 0.609212001348882*x58 - 0.0171034365854375*x59 +
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0.609212001348882*x71 - 0.0171034365854375*x72 + 0.164731858853866*x73 -
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0.307311987766332*x79 - 0.316387871282984*x80 - 2.47633011094406*x81 -
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0.39960435879146*x60 - 0.758254557737354*x61 + 0.423095155384679*x62 +
1.05893318533993*x63 - 0.662385865479878*x64 - 0.827019731119356*x65 +
x96) + sqr(0.325378605607741*x66 - 0.342807789008292*x67 +
2.85548246559893*x68 - 1.77245145487263*x69 - 1.84827476190196*x70 +
0.226203303246482*x71 + 0.694570672827008*x72 - 0.39960435879146*x73 -
0.758254557737354*x74 + 0.423095155384679*x75 + 1.05893318533993*x76 -
0.662385865479878*x77 - 0.827019731119356*x78 + x97) + sqr(
0.325378605607741*x79 - 0.342807789008292*x80 + 2.85548246559893*x81 -
1.77245145487263*x82 - 1.84827476190196*x83 + 0.226203303246482*x84 +
0.694570672827008*x85 - 0.39960435879146*x86 - 0.758254557737354*x87 +
0.423095155384679*x88 + 1.05893318533993*x89 - 0.662385865479878*x90 -
0.827019731119356*x91 + x98) + sqr(0.328854521401974*x1 -
0.299850359971397*x2 - 3.90384513021071*x3 + 0.128293143336399*x4 +
0.377530933415232*x5 + 0.218845768910229*x6 + 0.367421727863542*x7 -
1.76343598512039*x8 + 1.06872017684622*x9 + 0.82397965518969*x10 -
0.664867116776223*x11 - 0.779929178229223*x12 + 1.96765810909953*x13 +
x92) + sqr(0.328854521401974*x14 - 0.299850359971397*x15 -
3.90384513021071*x16 + 0.128293143336399*x17 + 0.377530933415232*x18 +
0.218845768910229*x19 + 0.367421727863542*x20 - 1.76343598512039*x21 +
1.06872017684622*x22 + 0.82397965518969*x23 - 0.664867116776223*x24 -
0.779929178229223*x25 + 1.96765810909953*x26 + x93) + sqr(
0.328854521401974*x27 - 0.299850359971397*x28 - 3.90384513021071*x29 +
0.128293143336399*x30 + 0.377530933415232*x31 + 0.218845768910229*x32 +
0.367421727863542*x33 - 1.76343598512039*x34 + 1.06872017684622*x35 +
0.82397965518969*x36 - 0.664867116776223*x37 - 0.779929178229223*x38 +
1.96765810909953*x39 + x94) + sqr(0.328854521401974*x40 -
0.299850359971397*x41 - 3.90384513021071*x42 + 0.128293143336399*x43 +
0.377530933415232*x44 + 0.218845768910229*x45 + 0.367421727863542*x46 -
1.76343598512039*x47 + 1.06872017684622*x48 + 0.82397965518969*x49 -
0.664867116776223*x50 - 0.779929178229223*x51 + 1.96765810909953*x52 +
x95) + sqr(0.328854521401974*x53 - 0.299850359971397*x54 -
3.90384513021071*x55 + 0.128293143336399*x56 + 0.377530933415232*x57 +
0.218845768910229*x58 + 0.367421727863542*x59 - 1.76343598512039*x60 +
1.06872017684622*x61 + 0.82397965518969*x62 - 0.664867116776223*x63 -
0.779929178229223*x64 + 1.96765810909953*x65 + x96) + sqr(
0.328854521401974*x66 - 0.299850359971397*x67 - 3.90384513021071*x68 +
0.128293143336399*x69 + 0.377530933415232*x70 + 0.218845768910229*x71 +
0.367421727863542*x72 - 1.76343598512039*x73 + 1.06872017684622*x74 +
0.82397965518969*x75 - 0.664867116776223*x76 - 0.779929178229223*x77 +
1.96765810909953*x78 + x97) + sqr(0.328854521401974*x79 -
0.299850359971397*x80 - 3.90384513021071*x81 + 0.128293143336399*x82 +
0.377530933415232*x83 + 0.218845768910229*x84 + 0.367421727863542*x85 -
1.76343598512039*x86 + 1.06872017684622*x87 + 0.82397965518969*x88 -
0.664867116776223*x89 - 0.779929178229223*x90 + 1.96765810909953*x91 +
x98) + sqr(0.299199724697608*x1 - 0.310973646080298*x2 + 4.58919362028582
*x3 + 1.04222087791864*x4 - 1.05250230919527*x5 + 0.266047423067029*x6 +
1.68640067257852*x7 - 0.0491701059048561*x8 + 0.244371590113728*x9 +
0.835889173566783*x10 + 1.70505199629339*x11 - 0.0572424594076114*x12 +
1.60593081331856*x13 + x92) + sqr(0.299199724697608*x14 -
0.310973646080298*x15 + 4.58919362028582*x16 + 1.04222087791864*x17 -
1.05250230919527*x18 + 0.266047423067029*x19 + 1.68640067257852*x20 -
0.0491701059048561*x21 + 0.244371590113728*x22 + 0.835889173566783*x23 +
1.70505199629339*x24 - 0.0572424594076114*x25 + 1.60593081331856*x26 +
x93) + sqr(0.299199724697608*x27 - 0.310973646080298*x28 +
4.58919362028582*x29 + 1.04222087791864*x30 - 1.05250230919527*x31 +
0.266047423067029*x32 + 1.68640067257852*x33 - 0.0491701059048561*x34 +
0.244371590113728*x35 + 0.835889173566783*x36 + 1.70505199629339*x37 -
0.0572424594076114*x38 + 1.60593081331856*x39 + x94) + sqr(
0.299199724697608*x40 - 0.310973646080298*x41 + 4.58919362028582*x42 +
1.04222087791864*x43 - 1.05250230919527*x44 + 0.266047423067029*x45 +
1.68640067257852*x46 - 0.0491701059048561*x47 + 0.244371590113728*x48 +
0.835889173566783*x49 + 1.70505199629339*x50 - 0.0572424594076114*x51 +
1.60593081331856*x52 + x95) + sqr(0.299199724697608*x53 -
0.310973646080298*x54 + 4.58919362028582*x55 + 1.04222087791864*x56 -
1.05250230919527*x57 + 0.266047423067029*x58 + 1.68640067257852*x59 -
0.0491701059048561*x60 + 0.244371590113728*x61 + 0.835889173566783*x62 +
1.70505199629339*x63 - 0.0572424594076114*x64 + 1.60593081331856*x65 +
x96) + sqr(0.299199724697608*x66 - 0.310973646080298*x67 +
4.58919362028582*x68 + 1.04222087791864*x69 - 1.05250230919527*x70 +
0.266047423067029*x71 + 1.68640067257852*x72 - 0.0491701059048561*x73 +
0.244371590113728*x74 + 0.835889173566783*x75 + 1.70505199629339*x76 -
0.0572424594076114*x77 + 1.60593081331856*x78 + x97) + sqr(
0.299199724697608*x79 - 0.310973646080298*x80 + 4.58919362028582*x81 +
1.04222087791864*x82 - 1.05250230919527*x83 + 0.266047423067029*x84 +
1.68640067257852*x85 - 0.0491701059048561*x86 + 0.244371590113728*x87 +
0.835889173566783*x88 + 1.70505199629339*x89 - 0.0572424594076114*x90 +
1.60593081331856*x91 + x98) + sqr(0.327486306470185*x1 - 0.33800061301515
*x2 - 3.53647668807283*x3 - 0.819734636756394*x4 - 0.628124087326396*x5
+ 0.446031096167464*x6 + 1.12926848073613*x7 - 0.571385740227376*x8 +
0.356785539638651*x9 + 0.622563637712504*x10 + 1.89256935175972*x11 +
0.157064926506921*x12 + 0.976259591510766*x13 + x92) + sqr(
0.327486306470185*x14 - 0.33800061301515*x15 - 3.53647668807283*x16 -
0.819734636756394*x17 - 0.628124087326396*x18 + 0.446031096167464*x19 +
1.12926848073613*x20 - 0.571385740227376*x21 + 0.356785539638651*x22 +
0.622563637712504*x23 + 1.89256935175972*x24 + 0.157064926506921*x25 +
0.976259591510766*x26 + x93) + sqr(0.327486306470185*x27 -
0.33800061301515*x28 - 3.53647668807283*x29 - 0.819734636756394*x30 -
0.628124087326396*x31 + 0.446031096167464*x32 + 1.12926848073613*x33 -
0.571385740227376*x34 + 0.356785539638651*x35 + 0.622563637712504*x36 +
1.89256935175972*x37 + 0.157064926506921*x38 + 0.976259591510766*x39 +
x94) + sqr(0.327486306470185*x40 - 0.33800061301515*x41 -
3.53647668807283*x42 - 0.819734636756394*x43 - 0.628124087326396*x44 +
0.446031096167464*x45 + 1.12926848073613*x46 - 0.571385740227376*x47 +
0.356785539638651*x48 + 0.622563637712504*x49 + 1.89256935175972*x50 +
0.157064926506921*x51 + 0.976259591510766*x52 + x95) + sqr(
0.327486306470185*x53 - 0.33800061301515*x54 - 3.53647668807283*x55 -
0.819734636756394*x56 - 0.628124087326396*x57 + 0.446031096167464*x58 +
1.12926848073613*x59 - 0.571385740227376*x60 + 0.356785539638651*x61 +
0.622563637712504*x62 + 1.89256935175972*x63 + 0.157064926506921*x64 +
0.976259591510766*x65 + x96) + sqr(0.327486306470185*x66 -
0.33800061301515*x67 - 3.53647668807283*x68 - 0.819734636756394*x69 -
0.628124087326396*x70 + 0.446031096167464*x71 + 1.12926848073613*x72 -
0.571385740227376*x73 + 0.356785539638651*x74 + 0.622563637712504*x75 +
1.89256935175972*x76 + 0.157064926506921*x77 + 0.976259591510766*x78 +
x97) + sqr(0.327486306470185*x79 - 0.33800061301515*x80 -
3.53647668807283*x81 - 0.819734636756394*x82 - 0.628124087326396*x83 +
0.446031096167464*x84 + 1.12926848073613*x85 - 0.571385740227376*x86 +
0.356785539638651*x87 + 0.622563637712504*x88 + 1.89256935175972*x89 +
0.157064926506921*x90 + 0.976259591510766*x91 + x98) + sqr(
0.316378557829762*x1 - 0.328870482808508*x2 - 0.258953290704023*x3 +
1.16230675058733*x4 - 0.789775105903796*x5 - 0.906516374452383*x6 +
0.495276032939846*x7 - 0.493620486963732*x8 - 0.751731910971071*x9 -
0.856186263689766*x10 - 1.14688074440503*x11 - 0.620091125336332*x12 +
2.34234886039086*x13 + x92) + sqr(0.316378557829762*x14 -
0.328870482808508*x15 - 0.258953290704023*x16 + 1.16230675058733*x17 -
0.789775105903796*x18 - 0.906516374452383*x19 + 0.495276032939846*x20 -
0.493620486963732*x21 - 0.751731910971071*x22 - 0.856186263689766*x23 -
1.14688074440503*x24 - 0.620091125336332*x25 + 2.34234886039086*x26 + x93
) + sqr(0.316378557829762*x27 - 0.328870482808508*x28 - 0.258953290704023
*x29 + 1.16230675058733*x30 - 0.789775105903796*x31 - 0.906516374452383*
x32 + 0.495276032939846*x33 - 0.493620486963732*x34 - 0.751731910971071*
x35 - 0.856186263689766*x36 - 1.14688074440503*x37 - 0.620091125336332*
x38 + 2.34234886039086*x39 + x94) + sqr(0.316378557829762*x40 -
0.328870482808508*x41 - 0.258953290704023*x42 + 1.16230675058733*x43 -
0.789775105903796*x44 - 0.906516374452383*x45 + 0.495276032939846*x46 -
0.493620486963732*x47 - 0.751731910971071*x48 - 0.856186263689766*x49 -
1.14688074440503*x50 - 0.620091125336332*x51 + 2.34234886039086*x52 + x95
) + sqr(0.316378557829762*x53 - 0.328870482808508*x54 - 0.258953290704023
*x55 + 1.16230675058733*x56 - 0.789775105903796*x57 - 0.906516374452383*
x58 + 0.495276032939846*x59 - 0.493620486963732*x60 - 0.751731910971071*
x61 - 0.856186263689766*x62 - 1.14688074440503*x63 - 0.620091125336332*
x64 + 2.34234886039086*x65 + x96) + sqr(0.316378557829762*x66 -
0.328870482808508*x67 - 0.258953290704023*x68 + 1.16230675058733*x69 -
0.789775105903796*x70 - 0.906516374452383*x71 + 0.495276032939846*x72 -
0.493620486963732*x73 - 0.751731910971071*x74 - 0.856186263689766*x75 -
1.14688074440503*x76 - 0.620091125336332*x77 + 2.34234886039086*x78 + x97
) + sqr(0.316378557829762*x79 - 0.328870482808508*x80 - 0.258953290704023
*x81 + 1.16230675058733*x82 - 0.789775105903796*x83 - 0.906516374452383*
x84 + 0.495276032939846*x85 - 0.493620486963732*x86 - 0.751731910971071*
x87 - 0.856186263689766*x88 - 1.14688074440503*x89 - 0.620091125336332*
x90 + 2.34234886039086*x91 + x98) + sqr(0.303229226881043*x1 -
0.331932291267925*x2 - 9.12641381523359*x3 + 2.01785915504451*x4 +
0.353068020931367*x5 - 0.591229738855507*x6 - 1.17403687239432*x7 +
0.318208725968011*x8 + 0.638020491361473*x9 - 0.0922543261392335*x10 +
1.07444983098697*x11 + 0.226894307111847*x12 - 0.839026687420819*x13 +
x92) + sqr(0.303229226881043*x14 - 0.331932291267925*x15 -
9.12641381523359*x16 + 2.01785915504451*x17 + 0.353068020931367*x18 -
0.591229738855507*x19 - 1.17403687239432*x20 + 0.318208725968011*x21 +
0.638020491361473*x22 - 0.0922543261392335*x23 + 1.07444983098697*x24 +
0.226894307111847*x25 - 0.839026687420819*x26 + x93) + sqr(
0.303229226881043*x27 - 0.331932291267925*x28 - 9.12641381523359*x29 +
2.01785915504451*x30 + 0.353068020931367*x31 - 0.591229738855507*x32 -
1.17403687239432*x33 + 0.318208725968011*x34 + 0.638020491361473*x35 -
0.0922543261392335*x36 + 1.07444983098697*x37 + 0.226894307111847*x38 -
0.839026687420819*x39 + x94) + sqr(0.303229226881043*x40 -
0.331932291267925*x41 - 9.12641381523359*x42 + 2.01785915504451*x43 +
0.353068020931367*x44 - 0.591229738855507*x45 - 1.17403687239432*x46 +
0.318208725968011*x47 + 0.638020491361473*x48 - 0.0922543261392335*x49 +
1.07444983098697*x50 + 0.226894307111847*x51 - 0.839026687420819*x52 +
x95) + sqr(0.303229226881043*x53 - 0.331932291267925*x54 -
9.12641381523359*x55 + 2.01785915504451*x56 + 0.353068020931367*x57 -
0.591229738855507*x58 - 1.17403687239432*x59 + 0.318208725968011*x60 +
0.638020491361473*x61 - 0.0922543261392335*x62 + 1.07444983098697*x63 +
0.226894307111847*x64 - 0.839026687420819*x65 + x96) + sqr(
0.303229226881043*x66 - 0.331932291267925*x67 - 9.12641381523359*x68 +
2.01785915504451*x69 + 0.353068020931367*x70 - 0.591229738855507*x71 -
1.17403687239432*x72 + 0.318208725968011*x73 + 0.638020491361473*x74 -
0.0922543261392335*x75 + 1.07444983098697*x76 + 0.226894307111847*x77 -
0.839026687420819*x78 + x97) + sqr(0.303229226881043*x79 -
0.331932291267925*x80 - 9.12641381523359*x81 + 2.01785915504451*x82 +
0.353068020931367*x83 - 0.591229738855507*x84 - 1.17403687239432*x85 +
0.318208725968011*x86 + 0.638020491361473*x87 - 0.0922543261392335*x88 +
1.07444983098697*x89 + 0.226894307111847*x90 - 0.839026687420819*x91 +
x98)) + objvar =E= 0;
* set non default bounds
* set non default levels
x1.l = 2.26476004801045;
x2.l = -0.814336616176591;
x3.l = -1.46439247219918;
x4.l = 0.0172086513179431;
x5.l = -0.645120650610992;
x6.l = -1.09986912577218;
x7.l = -0.43917235273977;
x8.l = -0.227841086980435;
x9.l = 0.464067951795222;
x10.l = -0.0280105622960716;
x11.l = -1.45688366900924;
x12.l = 0.3425258338632;
x13.l = -0.447400810991837;
x14.l = -0.760565813794671;
x15.l = 0.726533218035732;
x16.l = -0.479999792705402;
x17.l = 0.299484054500108;
x18.l = -0.415411475572487;
x19.l = 0.61746856537777;
x20.l = 0.628460422996168;
x21.l = 0.527894445048078;
x22.l = -0.324706822885412;
x23.l = 1.20935946334313;
x24.l = 0.562854231184737;
x25.l = -1.03728283935057;
x26.l = 0.0575691307340391;
x27.l = -0.633976631084885;
x28.l = -0.608993805957569;
x29.l = -0.466650416098326;
x30.l = -0.738415875240943;
x31.l = 0.119291448958046;
x32.l = 0.185951705445875;
x33.l = 1.3721267456363;
x34.l = -0.0590007537960601;
x35.l = -0.207002034441513;
x36.l = -1.61582566486535;
x37.l = 1.07782226139729;
x38.l = -0.373057774051348;
x39.l = -0.139844410506774;
x40.l = -0.419359590947996;
x41.l = 1.66068932823983;
x42.l = -0.498059645234227;
x43.l = -0.205253999255651;
x44.l = -0.270357952004167;
x45.l = 0.33188556293318;
x46.l = 0.614324449523746;
x47.l = -0.224374905324114;
x48.l = -0.3943561744745;
x49.l = 1.03162269362713;
x50.l = 0.768432421836406;
x51.l = -2.01566375513735;
x52.l = -0.408182729251404;
x53.l = 0.796821122240073;
x54.l = -0.0626353285906903;
x55.l = -0.037588305112939;
x56.l = -0.199308468979029;
x57.l = 0.092021431198791;
x58.l = 0.545346981547383;
x59.l = -0.014766062735;
x60.l = 0.161606725272978;
x61.l = -1.64789306935239;
x62.l = -0.804342159820661;
x63.l = 0.21541179934445;
x64.l = -1.73059835114845;
x65.l = 0.5532914717216;
x66.l = -0.776216618094214;
x67.l = 0.4335637014029;
x68.l = -1.60722010941117;
x69.l = 0.21404763482666;
x70.l = -0.161591755064461;
x71.l = -0.384338253410189;
x72.l = -1.08504164150282;
x73.l = 1.50487446642421;
x74.l = -0.934949390708168;
x75.l = -1.0228635856131;
x76.l = 0.481213715489474;
x77.l = -1.01937080660038;
x78.l = -0.595404248021225;
x79.l = -0.424718874482636;
x80.l = 1.17833006825406;
x81.l = 0.0702040899960506;
x82.l = -0.807884803475497;
x83.l = -0.315141292431515;
x84.l = 0.548026503095277;
x85.l = 0.481381296164061;
x86.l = -0.121261548683183;
x87.l = 0.0683288400036872;
x88.l = 0.669118353360963;
x89.l = -0.221409100135709;
x90.l = -0.530029211803872;
x91.l = 1.3746478061787;
x92.l = -2.16160846614521;
x93.l = 0.431699819109671;
x94.l = 0.327101939304869;
x95.l = -0.90289177209549;
x96.l = 0.529285805276495;
x97.l = 1.51343841799194;
x98.l = 1.34682458643217;
* 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;