*  NLP written by GAMS Convert at 10/06/06 11:33:36
*  
*  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
*          9        9        0        0        0        0        0        0
*  FX      0        0        0        0        0        0        0        0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*          9        1        8        0
*
*  Solve m using NLP minimizing objvar;


Variables  x1,x2,x3,x4,x5,x6,x7,x8,objvar;

Equations  e1;


e1..  - ((0.69 + x1 + x2)*(0.69 + x1 + x2) + (0.044 + x3 + x4)*(0.044 + x3 + x4
     ) + (1.57 + x5*x1 + x6*x2 - x7*x3 - x8*x4)*(1.57 + x5*x1 + x6*x2 - x7*x3
      - x8*x4) + (1.31 + x7*x1 + x8*x2 + x5*x3 + x6*x4)*(1.31 + x7*x1 + x8*x2
      + x5*x3 + x6*x4) + (2.65 + (x5*x5 - x7*x7)*x1 - 2*x3*x5*x7 + (x6*x6 - x8*
     x8)*x2 - 2*x4*x6*x8)*(2.65 + (x5*x5 - x7*x7)*x1 - 2*x3*x5*x7 + (x6*x6 - x8
     *x8)*x2 - 2*x4*x6*x8) + (-2 + (x5*x5 - x7*x7)*x3 + 2*x1*x5*x7 + (x6*x6 - 
     x8*x8)*x4 + 2*x2*x6*x8)*(-2 + (x5*x5 - x7*x7)*x3 + 2*x1*x5*x7 + (x6*x6 - 
     x8*x8)*x4 + 2*x2*x6*x8) + (12.6 + x1*x5*(x5*x5 - 3*x7*x7) + x3*x7*(x7*x7
      - 3*x5*x5) + x2*x6*(x6*x6 - 3*x8*x8) + x4*x8*(x8*x8 - 3*x6*x6))*(12.6 + 
     x1*x5*(x5*x5 - 3*x7*x7) + x3*x7*(x7*x7 - 3*x5*x5) + x2*x6*(x6*x6 - 3*x8*x8
     ) + x4*x8*(x8*x8 - 3*x6*x6)) + (-9.48 + x3*x5*(x5*x5 - 3*x7*x7) - x1*x7*(
     x7*x7 - 3*x5*x5) + x4*x6*(x6*x6 - 3*x8*x8) - x2*x8*(x8*x8 - 3*x6*x6))*(-
     9.48 + x3*x5*(x5*x5 - 3*x7*x7) - x1*x7*(x7*x7 - 3*x5*x5) + x4*x6*(x6*x6 - 
     3*x8*x8) - x2*x8*(x8*x8 - 3*x6*x6))) + objvar =E= 0;

* set non default bounds


* set non default levels

x2.l = 1; 
x4.l = 1; 
x5.l = 1; 
x6.l = 1; 
x7.l = 1; 
x8.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;