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A Library of Quadratic Programming Instances

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QPLIB_1773

Formats gms lp mod qplib
Problem type probtype QCQ
Solution point objective value solobjvalue -14.64186129 (gdx, sol)
Solution point infeasibility solinfeasibility 6.7323e-10
Donor donor Nick Sahinidis
#Variables nvars 60
#Binary Variables nbinvars 0
#Integer Variables nintvars 0
#Bounded non-binary Variables nboundedvars 60
#Variables with only one bound nsingleboundedvars 0
#Nonlinear Variables nnlvars 60
#Nonlinear Binary Variables nnlbinvars 0
#Nonlinear Integer Variables nnlintvars 0
Objective Sense objsense min
Objective type objtype quadratic
Objective curvature objcurvature indefinite
#Negative eigenvalues in objective matrix nobjquadnegev 30
#Positive eigenvalues in objective matrix nobjquadposev 30
#Nonzeros in Objective nobjnz 60
#Nonlinear Nonzeros in Objective nobjnlnz 60
#Quadratic Terms in Objective nobjquadnz 1734
#Square Terms in Objective nobjquaddiagnz 56
#Constraints ncons 7
#Linear Constraints nlincons 6
#Quadratic Constraints nquadcons 1
#Diagonal Quadratic Constraints ndiagquadcons 0
Constraints curvature conscurvature indefinite
#Convex Nonlinear Constraints nconvexnlcons 0
#Concave Nonlinear Constraints nconcavenlcons 0
#Indefinite Nonlinear Constraints nindefinitenlcons 1
#Nonzeros in Jacobian njacobiannz 420
#Nonlinear Nonzeros in Jacobian njacobiannlnz 60
#Nonzeros in (Upper-Left) Hessian of Lagrangian nlaghessiannz 3590
#Nonzeros in Diagonal of Hessian of Lagrangian nlaghessiandiagnz 60
#Blocks in Hessian of Lagrangian nlaghessianblocks 1
Minimal blocksize in Hessian of Lagrangian laghessianminblocksize 60
Maximal blocksize in Hessian of Lagrangian laghessianmaxblocksize 60
Average blocksize in Hessian of Lagrangian laghessianavgblocksize 60.0
Sparsity Jacobian
Sparsity Lag. Hessian

QPLIB_1773.gms

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*          8        7        0        1        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*         61       61        0        0        0        0        0        0
*  FX      0        0        0        0        0        0        0        0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*        481      361      120        0
*
*  Solve m using QCP minimizing objvar;


Variables  objvar,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;

Positive Variables  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;

Equations  e1,e2,e3,e4,e5,e6,e7,e8;


e1.. 0.47*x2 - 0.03*sqr(x2) - 0.24*x2*x3 - 0.38*x3 + 0.14*x2*x4 + 0.22*x4 + 
     0.02*x2*x5 + 0.88*x5 + 0.3*x2*x6 - 0.97*x6 + 0.08*x2*x7 - 0.63*x7 - 0.18*
     x2*x9 - 0.13*x9 + 0.06*x2*x10 - 0.6*x10 - 0.02*x2*x11 + 0.39*x11 - 0.1*x2*
     x12 - 0.03*x12 - 0.1*x2*x13 + 0.09*x13 - 0.24*x2*x15 - 0.7*x15 - 0.06*x2*
     x16 + 0.38*x16 + 0.12*x2*x17 + 0.77*x17 - 0.42*x2*x18 - 0.65*x18 + 0.06*x2
     *x19 + 0.97*x19 - 0.12*x2*x20 - 0.08*x20 + 0.2*x2*x21 - 0.3*x21 - 0.1*x2*
     x22 + 0.63*x22 - 0.04*x2*x23 + 0.49*x23 + 0.18*x2*x24 - 0.66*x24 + 0.1*x2*
     x25 + 0.21*x25 + 0.32*x2*x26 + 0.94*x26 - 0.06*x2*x27 + 0.16*x27 + 0.16*x2
     *x28 + 0.32*x28 + 0.08*x2*x29 + 0.43*x29 + 0.28*x2*x30 - 0.64*x30 + 0.16*
     x2*x31 + 0.72*x31 + 0.32*x2*x32 - 0.44*x32 + 0.16*x2*x33 - 0.23*x33 - 0.04
     *x2*x34 + 0.22*x34 - 0.1*x2*x35 - 0.29*x35 + 0.06*x2*x36 + 0.66*x36 - 0.16
     *x2*x37 + 0.07*x37 - 0.04*x2*x38 - 0.65*x38 + 0.16*x2*x40 - 0.88*x40 - 
     0.12*x2*x41 + 0.94*x41 - 0.02*x2*x42 - 0.12*x42 - 0.12*x2*x43 - 0.97*x43
      + 0.12*x2*x44 - 0.65*x44 - 0.18*x2*x45 - 0.4*x45 + 0.08*x2*x46 - 0.88*x46
      + 0.02*x2*x47 - 0.93*x47 + 0.1*x2*x48 - 0.28*x48 - 0.38*x2*x49 - 0.4*x49
      - 0.12*x2*x50 - 0.12*x50 + 0.1*x2*x51 + 0.23*x51 + 0.16*x2*x52 - 0.21*x52
      - 0.12*x2*x53 - 0.8*x53 - 0.1*x2*x54 + 0.61*x54 - 0.08*x2*x55 - 0.75*x55
      + 0.18*x2*x56 - 0.39*x56 - 0.12*x2*x57 - 0.27*x57 + 0.12*x2*x58 - 0.68*
     x58 + 0.08*x2*x59 + 0.58*x59 + 0.04*x2*x60 - 0.53*x60 - 0.04*x2*x61 - 0.16
     *sqr(x3) - 0.36*x3*x4 + 0.22*x3*x5 - 0.1*x3*x6 + 0.02*x3*x8 - 0.84*x8 + 
     0.06*x3*x9 + 0.32*x3*x10 - 0.06*x3*x11 - 0.12*x3*x12 + 0.06*x3*x13 - 0.2*
     x3*x14 + 0.47*x14 + 0.06*x3*x15 + 0.1*x3*x16 - 0.02*x3*x17 + 0.16*x3*x18
      - 0.14*x3*x19 + 0.02*x3*x20 + 0.14*x3*x21 + 0.04*x3*x23 + 0.02*x3*x24 - 
     0.02*x3*x25 - 0.12*x3*x27 + 0.38*x3*x28 - 0.06*x3*x29 - 0.08*x3*x30 + 0.14
     *x3*x31 + 0.1*x3*x32 - 0.08*x3*x34 - 0.02*x3*x35 - 0.04*x3*x36 + 0.2*x3*
     x37 - 0.12*x3*x38 + 0.06*x3*x39 - 0.84*x39 - 0.18*x3*x40 - 0.04*x3*x41 + 
     0.08*x3*x42 + 0.06*x3*x43 + 0.1*x3*x44 + 0.04*x3*x45 - 0.22*x3*x46 + 0.34*
     x3*x47 + 0.28*x3*x48 - 0.18*x3*x49 - 0.16*x3*x50 + 0.16*x3*x51 - 0.14*x3*
     x53 - 0.04*x3*x54 - 0.26*x3*x55 + 0.18*x3*x56 + 0.12*x3*x57 - 0.06*x3*x58
      - 0.02*x3*x59 + 0.1*x3*x60 + 0.16*x3*x61 + 0.01*sqr(x4) - 0.08*x4*x5 - 
     0.18*x4*x6 + 0.36*x4*x7 + 0.28*x4*x8 - 0.12*x4*x9 - 0.08*x4*x10 - 0.3*x4*
     x11 + 0.16*x4*x12 - 0.02*x4*x13 + 0.2*x4*x15 + 0.24*x4*x17 - 0.34*x4*x18
      + 0.18*x4*x19 + 0.3*x4*x20 - 0.06*x4*x21 + 0.12*x4*x22 + 0.14*x4*x23 - 
     0.24*x4*x24 + 0.04*x4*x25 + 0.06*x4*x26 + 0.1*x4*x27 + 0.06*x4*x28 - 0.16*
     x4*x29 - 0.2*x4*x30 + 0.08*x4*x31 - 0.1*x4*x32 + 0.06*x4*x33 + 0.3*x4*x35
      - 0.04*x4*x36 + 0.08*x4*x37 + 0.06*x4*x38 + 0.12*x4*x39 - 0.18*x4*x40 + 
     0.22*x4*x41 - 0.1*x4*x42 - 0.02*x4*x43 - 0.1*x4*x44 + 0.02*x4*x45 - 0.28*
     x4*x47 + 0.26*x4*x48 - 0.14*x4*x49 + 0.04*x4*x50 - 0.14*x4*x51 - 0.06*x4*
     x52 - 0.16*x4*x53 - 0.06*x4*x54 + 0.3*x4*x55 + 0.1*x4*x56 + 0.06*x4*x57 + 
     0.04*x4*x58 + 0.2*x4*x59 + 0.04*x4*x60 - 0.02*x4*x61 + 0.03*sqr(x5) - 0.2*
     x5*x6 - 0.12*x5*x7 + 0.26*x5*x8 + 0.12*x5*x9 + 0.14*x5*x10 - 0.02*x5*x11
      - 0.12*x5*x12 - 0.12*x5*x13 - 0.06*x5*x14 + 0.02*x5*x16 + 0.02*x5*x17 - 
     0.14*x5*x18 + 0.04*x5*x19 + 0.1*x5*x20 + 0.16*x5*x21 - 0.04*x5*x22 + 0.12*
     x5*x23 + 0.08*x5*x24 - 0.08*x5*x25 - 0.1*x5*x26 + 0.04*x5*x27 - 0.06*x5*
     x28 + 0.1*x5*x29 - 0.22*x5*x30 + 0.06*x5*x31 - 0.1*x5*x33 + 0.06*x5*x34 - 
     0.06*x5*x35 + 0.08*x5*x36 - 0.18*x5*x37 + 0.2*x5*x38 - 0.08*x5*x39 + 0.28*
     x5*x40 + 0.02*x5*x41 + 0.14*x5*x42 - 0.08*x5*x43 + 0.18*x5*x44 - 0.04*x5*
     x45 - 0.24*x5*x46 - 0.04*x5*x47 - 0.22*x5*x48 + 0.3*x5*x49 + 0.02*x5*x50
      + 0.06*x5*x51 + 0.26*x5*x52 - 0.14*x5*x53 - 0.06*x5*x54 - 0.06*x5*x55 + 
     0.06*x5*x56 + 0.08*x5*x57 - 0.06*x5*x58 + 0.04*x5*x59 + 0.06*x5*x60 + 0.18
     *x5*x61 + 0.11*sqr(x6) - 0.06*x6*x7 - 0.4*x6*x8 + 0.08*x6*x9 - 0.12*x6*x10
      + 0.26*x6*x11 + 0.08*x6*x12 + 0.14*x6*x13 - 0.08*x6*x14 - 0.12*x6*x15 + 
     0.1*x6*x16 + 0.16*x6*x17 + 0.1*x6*x18 + 0.04*x6*x19 + 0.02*x6*x20 - 0.14*
     x6*x21 + 0.06*x6*x22 + 0.08*x6*x23 + 0.18*x6*x24 - 0.06*x6*x25 - 0.02*x6*
     x26 + 0.04*x6*x27 - 0.12*x6*x28 - 0.1*x6*x29 - 0.2*x6*x30 + 0.1*x6*x31 + 
     0.06*x6*x32 - 0.2*x6*x33 - 0.04*x6*x34 - 0.22*x6*x35 + 0.06*x6*x37 + 0.28*
     x6*x38 + 0.34*x6*x39 + 0.16*x6*x40 + 0.14*x6*x41 + 0.02*x6*x42 + 0.2*x6*
     x43 + 0.08*x6*x44 - 0.18*x6*x45 - 0.22*x6*x46 - 0.14*x6*x47 - 0.04*x6*x48
      + 0.22*x6*x49 + 0.16*x6*x50 - 0.14*x6*x51 + 0.08*x6*x52 + 0.08*x6*x53 + 
     0.18*x6*x54 - 0.1*x6*x55 - 0.06*x6*x56 + 0.12*x6*x57 - 0.16*x6*x58 + 0.02*
     x6*x59 - 0.22*x6*x60 - 0.04*x6*x61 - 0.09*sqr(x7) - 0.12*x7*x8 + 0.1*x7*x9
      + 0.16*x7*x10 + 0.1*x7*x11 + 0.26*x7*x12 - 0.12*x7*x13 - 0.1*x7*x14 - 
     0.22*x7*x15 - 0.1*x7*x16 - 0.22*x7*x17 - 0.16*x7*x18 - 0.1*x7*x19 + 0.12*
     x7*x20 - 0.06*x7*x21 - 0.04*x7*x22 - 0.1*x7*x23 + 0.12*x7*x24 - 0.22*x7*
     x25 + 0.28*x7*x26 + 0.12*x7*x27 + 0.04*x7*x28 - 0.14*x7*x29 + 0.26*x7*x30
      - 0.06*x7*x31 - 0.02*x7*x32 - 0.06*x7*x33 - 0.1*x7*x34 - 0.36*x7*x35 - 
     0.1*x7*x37 + 0.26*x7*x38 - 0.14*x7*x39 + 0.12*x7*x40 + 0.14*x7*x41 - 0.26*
     x7*x42 - 0.1*x7*x43 + 0.06*x7*x44 + 0.1*x7*x45 + 0.24*x7*x46 - 0.08*x7*x47
      + 0.08*x7*x48 + 0.14*x7*x49 + 0.16*x7*x50 - 0.12*x7*x51 + 0.32*x7*x52 + 
     0.24*x7*x53 + 0.32*x7*x54 - 0.04*x7*x55 + 0.02*x7*x56 - 0.06*x7*x57 - 0.1*
     x7*x58 + 0.1*x7*x59 + 0.14*x7*x60 - 0.02*x7*x61 + 0.04*sqr(x8) + 0.12*x8*
     x9 - 0.22*x8*x10 - 0.02*x8*x11 - 0.2*x8*x12 + 0.18*x8*x13 - 0.16*x8*x14 - 
     0.1*x8*x15 - 0.02*x8*x16 - 0.22*x8*x17 + 0.2*x8*x18 - 0.04*x8*x20 + 0.14*
     x8*x21 - 0.04*x8*x22 - 0.02*x8*x23 - 0.04*x8*x24 - 0.26*x8*x25 - 0.02*x8*
     x26 - 0.16*x8*x27 + 0.06*x8*x28 - 0.06*x8*x29 + 0.02*x8*x30 + 0.16*x8*x31
      + 0.02*x8*x32 + 0.08*x8*x33 + 0.1*x8*x35 + 0.08*x8*x37 + 0.06*x8*x38 + 
     0.14*x8*x39 - 0.06*x8*x40 + 0.24*x8*x41 - 0.04*x8*x42 + 0.14*x8*x43 + 0.26
     *x8*x44 - 0.12*x8*x45 - 0.1*x8*x46 + 0.22*x8*x47 - 0.02*x8*x48 - 0.04*x8*
     x49 + 0.1*x8*x50 + 0.02*x8*x51 - 0.14*x8*x52 - 0.02*x8*x53 + 0.22*x8*x54
      + 0.24*x8*x55 + 0.16*x8*x56 - 0.28*x8*x57 - 0.1*x8*x58 - 0.16*x8*x59 - 
     0.32*x8*x60 + 0.06*x8*x61 + 0.13*sqr(x9) - 0.06*x9*x10 - 0.12*x9*x11 - 
     0.22*x9*x12 + 0.06*x9*x13 + 0.16*x9*x14 + 0.08*x9*x15 - 0.04*x9*x16 + 0.02
     *x9*x17 - 0.02*x9*x18 + 0.18*x9*x19 + 0.06*x9*x20 - 0.28*x9*x21 - 0.1*x9*
     x22 + 0.12*x9*x23 - 0.12*x9*x24 + 0.12*x9*x25 - 0.16*x9*x26 + 0.02*x9*x27
      + 0.06*x9*x28 - 0.02*x9*x29 + 0.08*x9*x30 + 0.16*x9*x31 + 0.12*x9*x32 + 
     0.22*x9*x33 + 0.04*x9*x34 + 0.1*x9*x35 - 0.14*x9*x37 + 0.16*x9*x38 + 0.04*
     x9*x39 + 0.1*x9*x40 - 0.06*x9*x41 + 0.14*x9*x42 - 0.16*x9*x43 - 0.22*x9*
     x44 - 0.06*x9*x45 - 0.12*x9*x46 + 0.18*x9*x47 - 0.06*x9*x48 - 0.26*x9*x49
      + 0.12*x9*x50 + 0.12*x9*x51 + 0.04*x9*x52 - 0.06*x9*x53 + 0.26*x9*x54 - 
     0.4*x9*x56 + 0.02*x9*x57 - 0.04*x9*x58 + 0.14*x9*x59 - 0.1*x9*x60 + 0.1*x9
     *x61 + 0.15*sqr(x10) - 0.2*x10*x11 - 0.06*x10*x12 - 0.12*x10*x13 + 0.14*
     x10*x14 + 0.04*x10*x15 - 0.04*x10*x16 - 0.16*x10*x17 + 0.16*x10*x18 + 0.26
     *x10*x19 + 0.08*x10*x20 + 0.12*x10*x21 - 0.2*x10*x22 - 0.12*x10*x23 + 0.14
     *x10*x24 - 0.04*x10*x25 - 0.2*x10*x26 + 0.06*x10*x27 - 0.08*x10*x28 + 0.26
     *x10*x29 + 0.06*x10*x30 - 0.16*x10*x31 + 0.02*x10*x32 - 0.14*x10*x34 + 
     0.04*x10*x35 + 0.06*x10*x36 + 0.24*x10*x37 - 0.02*x10*x38 - 0.04*x10*x39
      - 0.18*x10*x40 - 0.2*x10*x41 + 0.1*x10*x42 - 0.36*x10*x43 + 0.32*x10*x44
      + 0.08*x10*x45 - 0.22*x10*x46 - 0.14*x10*x49 + 0.06*x10*x50 + 0.06*x10*
     x51 + 0.22*x10*x53 - 0.08*x10*x54 - 0.18*x10*x55 + 0.2*x10*x56 + 0.04*x10*
     x57 - 0.1*x10*x58 + 0.08*x10*x59 - 0.08*x10*x60 - 0.1*x10*x61 + 0.17*sqr(
     x11) - 0.2*x11*x12 + 0.16*x11*x13 - 0.2*x11*x14 - 0.1*x11*x15 - 0.04*x11*
     x16 + 0.06*x11*x17 - 0.18*x11*x18 + 0.12*x11*x19 + 0.02*x11*x21 - 0.02*x11
     *x22 - 0.12*x11*x23 - 0.14*x11*x24 + 0.16*x11*x25 + 0.06*x11*x26 - 0.1*x11
     *x27 + 0.08*x11*x28 + 0.14*x11*x29 + 0.12*x11*x30 + 0.16*x11*x31 + 0.08*
     x11*x32 - 0.22*x11*x33 - 0.04*x11*x34 + 0.24*x11*x35 + 0.24*x11*x36 + 0.22
     *x11*x37 - 0.22*x11*x38 - 0.22*x11*x39 + 0.12*x11*x40 + 0.12*x11*x41 + 
     0.28*x11*x42 - 0.02*x11*x43 - 0.02*x11*x44 + 0.02*x11*x45 - 0.08*x11*x46
      + 0.02*x11*x47 - 0.02*x11*x48 - 0.14*x11*x49 + 0.14*x11*x50 + 0.08*x11*
     x51 + 0.08*x11*x52 - 0.06*x11*x53 - 0.08*x11*x54 + 0.24*x11*x55 + 0.12*x11
     *x56 - 0.02*x11*x57 + 0.08*x11*x58 + 0.1*x11*x59 - 0.02*x11*x60 - 0.08*x11
     *x61 - 0.05*x12*x12 - 0.12*x12*x13 + 0.32*x12*x14 + 0.08*x12*x15 + 0.3*x12
     *x16 - 0.26*x12*x17 - 0.12*x12*x18 - 0.2*x12*x19 + 0.04*x12*x20 - 0.06*x12
     *x21 + 0.08*x12*x22 - 0.14*x12*x23 + 0.02*x12*x24 - 0.02*x12*x25 - 0.12*
     x12*x26 - 0.02*x12*x27 - 0.08*x12*x28 - 0.02*x12*x29 + 0.14*x12*x30 + 0.02
     *x12*x31 - 0.04*x12*x32 + 0.16*x12*x34 + 0.12*x12*x35 + 0.28*x12*x36 + 
     0.32*x12*x37 - 0.04*x12*x38 + 0.14*x12*x39 + 0.08*x12*x40 - 0.02*x12*x41
      + 0.14*x12*x42 + 0.12*x12*x43 - 0.04*x12*x44 + 0.12*x12*x45 + 0.02*x12*
     x47 - 0.22*x12*x48 + 0.08*x12*x49 - 0.04*x12*x50 - 0.02*x12*x52 - 0.06*x12
     *x53 + 0.16*x12*x54 + 0.14*x12*x55 - 0.04*x12*x56 - 0.06*x12*x57 + 0.06*
     x12*x59 - 0.14*x12*x60 - 0.14*x13*x14 - 0.06*x13*x15 + 0.16*x13*x16 + 0.22
     *x13*x17 + 0.08*x13*x18 - 0.08*x13*x19 - 0.08*x13*x20 + 0.18*x13*x21 - 
     0.04*x13*x22 + 0.16*x13*x23 + 0.04*x13*x24 - 0.24*x13*x25 + 0.06*x13*x26
      + 0.18*x13*x27 + 0.06*x13*x28 + 0.08*x13*x29 - 0.14*x13*x30 + 0.04*x13*
     x31 + 0.08*x13*x32 - 0.22*x13*x33 - 0.1*x13*x35 - 0.04*x13*x36 - 0.02*x13*
     x37 - 0.12*x13*x38 + 0.06*x13*x39 + 0.04*x13*x40 - 0.38*x13*x41 + 0.04*x13
     *x42 - 0.2*x13*x43 + 0.2*x13*x44 + 0.2*x13*x45 + 0.04*x13*x46 + 0.06*x13*
     x47 + 0.02*x13*x48 + 0.24*x13*x49 - 0.18*x13*x50 + 0.18*x13*x51 - 0.18*x13
     *x53 + 0.14*x13*x54 - 0.24*x13*x55 - 0.16*x13*x56 + 0.28*x13*x57 - 0.02*
     x13*x58 - 0.08*x13*x59 + 0.24*x13*x60 + 0.14*x13*x61 + 0.12*sqr(x14) - 
     0.06*x14*x15 + 0.1*x14*x16 + 0.28*x14*x17 - 0.16*x14*x18 - 0.04*x14*x19 - 
     0.02*x14*x20 + 0.1*x14*x21 + 0.02*x14*x22 + 0.1*x14*x23 + 0.04*x14*x24 - 
     0.12*x14*x25 + 0.16*x14*x26 - 0.08*x14*x27 - 0.22*x14*x28 + 0.06*x14*x29
      - 0.04*x14*x30 - 0.14*x14*x31 + 0.2*x14*x32 + 0.2*x14*x33 - 0.14*x14*x34
      - 0.1*x14*x35 + 0.12*x14*x36 - 0.1*x14*x37 + 0.1*x14*x38 + 0.08*x14*x39
      - 0.32*x14*x40 - 0.34*x14*x41 + 0.14*x14*x42 + 0.08*x14*x43 - 0.28*x14*
     x44 - 0.06*x14*x45 + 0.24*x14*x46 + 0.1*x14*x47 + 0.18*x14*x48 + 0.06*x14*
     x49 + 0.2*x14*x50 + 0.24*x14*x52 - 0.1*x14*x53 - 0.12*x14*x54 + 0.14*x14*
     x56 + 0.28*x14*x57 - 0.02*x14*x58 + 0.16*x14*x59 - 0.22*x14*x60 + 0.14*x14
     *x61 - 0.05*sqr(x15) + 0.08*x15*x17 - 0.18*x15*x18 + 0.02*x15*x19 - 0.04*
     x15*x20 - 0.08*x15*x22 - 0.22*x15*x23 + 0.16*x15*x24 + 0.1*x15*x25 + 0.04*
     x15*x26 + 0.06*x15*x27 + 0.08*x15*x28 + 0.18*x15*x29 + 0.2*x15*x30 + 0.02*
     x15*x31 + 0.02*x15*x32 + 0.14*x15*x33 + 0.12*x15*x34 + 0.08*x15*x35 + 0.16
     *x15*x36 + 0.06*x15*x37 - 0.1*x15*x38 + 0.08*x15*x39 + 0.1*x15*x40 + 0.02*
     x15*x41 + 0.02*x15*x42 + 0.06*x15*x43 + 0.04*x15*x44 - 0.24*x15*x45 - 0.1*
     x15*x46 - 0.08*x15*x47 + 0.12*x15*x48 - 0.16*x15*x49 + 0.04*x15*x50 - 0.08
     *x15*x51 + 0.24*x15*x52 + 0.2*x15*x53 + 0.04*x15*x54 + 0.12*x15*x56 - 0.16
     *x15*x57 - 0.02*x15*x58 + 0.14*x15*x59 + 0.16*x15*x60 + 0.24*x16*x17 - 0.1
     *x16*x18 + 0.2*x16*x19 + 0.2*x16*x20 + 0.08*x16*x21 - 0.08*x16*x22 + 0.02*
     x16*x23 + 0.24*x16*x24 - 0.22*x16*x25 - 0.14*x16*x26 - 0.04*x16*x27 - 0.04
     *x16*x28 + 0.18*x16*x29 - 0.1*x16*x30 + 0.02*x16*x31 + 0.06*x16*x32 + 0.16
     *x16*x33 - 0.26*x16*x34 + 0.02*x16*x35 + 0.12*x16*x36 - 0.06*x16*x37 - 
     0.32*x16*x38 + 0.3*x16*x39 + 0.02*x16*x40 + 0.04*x16*x41 + 0.26*x16*x43 + 
     0.08*x16*x44 - 0.02*x16*x46 - 0.2*x16*x47 + 0.22*x16*x48 + 0.22*x16*x49 + 
     0.12*x16*x50 - 0.14*x16*x51 - 0.5*x16*x52 + 0.06*x16*x53 - 0.14*x16*x54 - 
     0.02*x16*x55 - 0.16*x16*x56 - 0.1*x16*x57 + 0.34*x16*x58 + 0.12*x16*x59 - 
     0.08*x16*x60 - 0.06*x16*x61 + 0.03*sqr(x17) + 0.22*x17*x18 + 0.14*x17*x19
      + 0.22*x17*x21 - 0.04*x17*x22 - 0.14*x17*x23 - 0.06*x17*x24 + 0.2*x17*x25
      + 0.02*x17*x26 + 0.1*x17*x28 - 0.12*x17*x29 - 0.04*x17*x30 - 0.26*x17*x31
      - 0.1*x17*x32 - 0.18*x17*x33 - 0.08*x17*x34 + 0.02*x17*x35 - 0.14*x17*x36
      - 0.22*x17*x37 + 0.08*x17*x38 + 0.12*x17*x39 - 0.08*x17*x40 + 0.02*x17*
     x41 - 0.04*x17*x42 - 0.06*x17*x43 + 0.16*x17*x44 - 0.12*x17*x45 - 0.1*x17*
     x46 + 0.12*x17*x47 + 0.08*x17*x48 + 0.16*x17*x49 + 0.12*x17*x50 + 0.4*x17*
     x51 + 0.1*x17*x52 - 0.26*x17*x53 + 0.08*x17*x54 + 0.04*x17*x55 - 0.04*x17*
     x56 - 0.02*x17*x57 - 0.24*x17*x58 + 0.08*x17*x59 + 0.16*x17*x60 - 0.16*x17
     *x61 + 0.08*x18*x19 + 0.04*x18*x20 - 0.26*x18*x21 - 0.08*x18*x22 - 0.16*
     x18*x23 - 0.42*x18*x24 - 0.02*x18*x25 + 0.12*x18*x26 + 0.06*x18*x27 - 0.26
     *x18*x28 + 0.1*x18*x29 + 0.16*x18*x30 + 0.14*x18*x31 + 0.24*x18*x32 - 0.06
     *x18*x33 - 0.06*x18*x34 + 0.22*x18*x35 - 0.1*x18*x36 + 0.32*x18*x37 + 0.04
     *x18*x38 + 0.1*x18*x39 + 0.16*x18*x40 - 0.04*x18*x41 + 0.2*x18*x42 + 0.1*
     x18*x43 - 0.3*x18*x44 + 0.06*x18*x45 + 0.22*x18*x46 + 0.14*x18*x47 + 0.12*
     x18*x48 + 0.06*x18*x49 + 0.16*x18*x50 + 0.16*x18*x51 + 0.22*x18*x52 - 0.14
     *x18*x53 - 0.16*x18*x54 + 0.14*x18*x55 + 0.18*x18*x56 + 0.16*x18*x59 + 
     0.02*x18*x60 - 0.09*sqr(x19) - 0.02*x19*x20 - 0.12*x19*x21 + 0.06*x19*x22
      + 0.02*x19*x23 + 0.02*x19*x24 + 0.1*x19*x25 + 0.16*x19*x26 + 0.12*x19*x27
      - 0.34*x19*x28 + 0.08*x19*x29 + 0.2*x19*x30 - 0.12*x19*x31 + 0.04*x19*x32
      + 0.06*x19*x33 - 0.12*x19*x34 - 0.08*x19*x35 + 0.02*x19*x36 - 0.22*x19*
     x37 + 0.32*x19*x38 - 0.02*x19*x39 - 0.2*x19*x40 - 0.12*x19*x41 + 0.18*x19*
     x42 - 0.14*x19*x43 - 0.06*x19*x44 - 0.1*x19*x45 - 0.2*x19*x46 - 0.12*x19*
     x47 + 0.02*x19*x48 - 0.2*x19*x49 + 0.24*x19*x50 + 0.08*x19*x51 - 0.16*x19*
     x52 + 0.22*x19*x53 - 0.04*x19*x54 - 0.04*x19*x55 - 0.08*x19*x56 + 0.04*x19
     *x57 + 0.12*x19*x59 + 0.12*x19*x60 - 0.02*x19*x61 + 0.16*sqr(x20) - 0.04*
     x20*x21 - 0.16*x20*x22 + 0.12*x20*x23 + 0.22*x20*x25 + 0.22*x20*x26 - 0.1*
     x20*x27 - 0.18*x20*x28 + 0.02*x20*x29 + 0.04*x20*x30 + 0.08*x20*x31 - 0.02
     *x20*x32 - 0.12*x20*x33 + 0.02*x20*x34 + 0.22*x20*x35 - 0.14*x20*x36 - 0.3
     *x20*x37 - 0.2*x20*x38 - 0.14*x20*x39 - 0.08*x20*x40 + 0.06*x20*x41 + 0.12
     *x20*x42 - 0.14*x20*x43 + 0.02*x20*x44 - 0.02*x20*x45 - 0.14*x20*x46 - 
     0.46*x20*x47 + 0.2*x20*x48 - 0.22*x20*x49 + 0.2*x20*x50 + 0.1*x20*x51 - 
     0.14*x20*x52 + 0.18*x20*x53 + 0.14*x20*x54 - 0.1*x20*x55 + 0.12*x20*x56 + 
     0.02*x20*x57 - 0.12*x20*x58 - 0.04*x20*x59 + 0.06*x20*x60 + 0.04*x20*x61
      + 0.03*sqr(x21) + 0.24*x21*x22 + 0.16*x21*x23 + 0.12*x21*x24 + 0.08*x21*
     x25 - 0.04*x21*x26 - 0.08*x21*x27 - 0.1*x21*x28 - 0.12*x21*x29 + 0.08*x21*
     x30 + 0.06*x21*x31 + 0.12*x21*x32 - 0.08*x21*x33 + 0.08*x21*x34 - 0.1*x21*
     x35 + 0.3*x21*x37 - 0.2*x21*x38 + 0.1*x21*x39 - 0.14*x21*x40 - 0.2*x21*x41
      - 0.06*x21*x42 - 0.1*x21*x43 + 0.1*x21*x44 - 0.24*x21*x45 + 0.1*x21*x46
      + 0.06*x21*x47 - 0.04*x21*x48 + 0.02*x21*x49 - 0.08*x21*x50 - 0.02*x21*
     x51 - 0.04*x21*x52 + 0.06*x21*x53 - 0.04*x21*x54 - 0.04*x21*x55 - 0.12*x21
     *x56 - 0.24*x21*x57 + 0.14*x21*x58 - 0.08*x21*x59 - 0.1*x21*x60 + 0.34*x21
     *x61 - 0.12*x22*x22 - 0.1*x22*x23 - 0.04*x22*x24 + 0.18*x22*x25 + 0.22*x22
     *x26 + 0.06*x22*x27 + 0.1*x22*x28 - 0.26*x22*x29 + 0.12*x22*x30 - 0.2*x22*
     x31 - 0.28*x22*x32 - 0.02*x22*x33 + 0.3*x22*x34 - 0.02*x22*x35 - 0.26*x22*
     x36 + 0.14*x22*x37 + 0.06*x22*x38 + 0.06*x22*x39 - 0.12*x22*x40 - 0.02*x22
     *x41 + 0.08*x22*x42 + 0.18*x22*x43 + 0.02*x22*x44 - 0.06*x22*x45 + 0.18*
     x22*x46 + 0.34*x22*x47 - 0.16*x22*x50 - 0.3*x22*x51 + 0.08*x22*x53 - 0.18*
     x22*x54 + 0.12*x22*x55 + 0.42*x22*x56 + 0.2*x22*x57 - 0.02*x22*x58 + 0.16*
     x22*x59 - 0.06*x22*x60 - 0.16*x22*x61 + 0.06*sqr(x23) - 0.18*x23*x24 - 
     0.02*x23*x25 - 0.02*x23*x26 - 0.02*x23*x27 + 0.02*x23*x28 - 0.16*x23*x29
      - 0.06*x23*x30 + 0.06*x23*x31 + 0.06*x23*x32 - 0.04*x23*x33 + 0.16*x23*
     x34 + 0.2*x23*x35 + 0.22*x23*x36 - 0.06*x23*x37 + 0.28*x23*x38 + 0.06*x23*
     x39 + 0.08*x23*x40 + 0.22*x23*x41 + 0.12*x23*x43 - 0.08*x23*x44 + 0.02*x23
     *x45 - 0.02*x23*x46 - 0.12*x23*x47 - 0.02*x23*x48 - 0.18*x23*x49 + 0.2*x23
     *x50 - 0.04*x23*x51 + 0.1*x23*x52 + 0.04*x23*x53 + 0.08*x23*x54 + 0.02*x23
     *x55 + 0.04*x23*x56 - 0.1*x23*x57 + 0.1*x23*x58 - 0.06*x23*x59 - 0.1*x23*
     x60 - 0.14*x23*x61 - 0.14*sqr(x24) + 0.06*x24*x25 + 0.18*x24*x26 + 0.24*
     x24*x27 + 0.16*x24*x28 - 0.32*x24*x29 + 0.06*x24*x30 - 0.1*x24*x32 + 0.16*
     x24*x33 - 0.14*x24*x34 + 0.06*x24*x35 - 0.08*x24*x36 - 0.04*x24*x38 + 0.36
     *x24*x39 - 0.02*x24*x40 + 0.16*x24*x41 + 0.16*x24*x42 - 0.02*x24*x43 - 
     0.18*x24*x44 - 0.02*x24*x45 + 0.02*x24*x46 + 0.1*x24*x47 - 0.28*x24*x48 - 
     0.04*x24*x49 + 0.12*x24*x50 - 0.08*x24*x51 + 0.14*x24*x52 + 0.3*x24*x53 + 
     0.32*x24*x54 + 0.18*x24*x55 - 0.1*x24*x56 - 0.02*x24*x57 + 0.02*x24*x58 - 
     0.34*x24*x59 + 0.18*x24*x60 + 0.04*x24*x61 + 0.01*sqr(x25) + 0.02*x25*x26
      + 0.34*x25*x27 - 0.12*x25*x28 + 0.1*x25*x29 - 0.02*x25*x30 + 0.32*x25*x31
      - 0.02*x25*x32 - 0.2*x25*x33 - 0.02*x25*x34 - 0.1*x25*x35 + 0.12*x25*x36
      - 0.02*x25*x37 + 0.04*x25*x38 + 0.34*x25*x39 + 0.16*x25*x40 - 0.02*x25*
     x41 + 0.04*x25*x42 + 0.08*x25*x43 - 0.16*x25*x44 - 0.08*x25*x45 + 0.12*x25
     *x46 - 0.08*x25*x47 + 0.04*x25*x48 - 0.26*x25*x49 + 0.3*x25*x50 + 0.02*x25
     *x52 - 0.1*x25*x53 - 0.12*x25*x54 - 0.14*x25*x55 - 0.18*x25*x56 + 0.04*x25
     *x57 + 0.02*x25*x58 + 0.36*x25*x59 + 0.16*x25*x61 - 0.03*sqr(x26) - 0.2*
     x26*x27 - 0.02*x26*x28 - 0.04*x26*x29 - 0.22*x26*x30 - 0.02*x26*x31 + 0.14
     *x26*x32 + 0.02*x26*x33 + 0.16*x26*x34 - 0.02*x26*x35 + 0.04*x26*x36 + 
     0.16*x26*x37 - 0.12*x26*x38 - 0.12*x26*x39 + 0.14*x26*x40 - 0.1*x26*x41 + 
     0.1*x26*x42 + 0.14*x26*x43 + 0.14*x26*x44 + 0.14*x26*x45 - 0.06*x26*x46 + 
     0.3*x26*x47 - 0.22*x26*x48 - 0.2*x26*x49 - 0.3*x26*x50 - 0.18*x26*x51 - 
     0.04*x26*x52 - 0.28*x26*x53 + 0.08*x26*x55 + 0.12*x26*x56 - 0.1*x26*x58 - 
     0.02*x26*x59 - 0.16*x26*x61 - 0.06*sqr(x27) + 0.22*x27*x28 + 0.02*x27*x29
      + 0.12*x27*x30 - 0.06*x27*x31 - 0.02*x27*x32 - 0.08*x27*x33 - 0.16*x27*
     x34 - 0.04*x27*x35 + 0.14*x27*x36 - 0.1*x27*x37 + 0.34*x27*x38 + 0.1*x27*
     x39 + 0.18*x27*x40 - 0.12*x27*x41 + 0.1*x27*x42 - 0.08*x27*x43 + 0.04*x27*
     x44 - 0.1*x27*x45 - 0.28*x27*x46 + 0.08*x27*x47 - 0.04*x27*x48 + 0.08*x27*
     x49 - 0.28*x27*x50 + 0.14*x27*x52 + 0.18*x27*x53 - 0.32*x27*x54 - 0.18*x27
     *x55 + 0.02*x27*x56 - 0.08*x27*x57 + 0.06*x27*x58 + 0.02*x27*x59 + 0.14*
     x27*x60 + 0.06*x27*x61 - 0.04*sqr(x28) + 0.02*x28*x29 + 0.12*x28*x30 - 
     0.18*x28*x31 - 0.12*x28*x32 - 0.04*x28*x33 - 0.06*x28*x34 + 0.26*x28*x35
      - 0.36*x28*x36 - 0.02*x28*x38 + 0.02*x28*x39 + 0.1*x28*x40 - 0.06*x28*x41
      + 0.06*x28*x42 + 0.02*x28*x44 + 0.14*x28*x45 + 0.2*x28*x46 + 0.12*x28*x47
      - 0.02*x28*x48 - 0.02*x28*x49 + 0.36*x28*x50 + 0.36*x28*x51 - 0.2*x28*x52
      + 0.06*x28*x53 - 0.14*x28*x54 + 0.02*x28*x55 - 0.18*x28*x56 - 0.02*x28*
     x57 + 0.06*x28*x58 + 0.16*x28*x59 + 0.18*x28*x60 - 0.38*x28*x61 + 0.08*
     sqr(x29) - 0.12*x29*x30 + 0.18*x29*x31 - 0.26*x29*x32 + 0.06*x29*x33 + 0.2
     *x29*x34 - 0.08*x29*x35 - 0.02*x29*x36 - 0.24*x29*x37 - 0.22*x29*x38 + 0.1
     *x29*x39 - 0.08*x29*x40 + 0.26*x29*x41 + 0.04*x29*x42 + 0.12*x29*x43 + 
     0.02*x29*x44 - 0.34*x29*x45 + 0.12*x29*x46 + 0.08*x29*x47 + 0.12*x29*x49
      - 0.16*x29*x50 + 0.2*x29*x51 + 0.1*x29*x52 + 0.12*x29*x53 + 0.04*x29*x54
      + 0.06*x29*x55 + 0.02*x29*x56 + 0.18*x29*x57 + 0.24*x29*x58 + 0.24*x29*
     x59 + 0.26*x29*x60 - 0.3*x29*x61 - 0.09*sqr(x30) + 0.04*x30*x31 + 0.3*x30*
     x32 + 0.18*x30*x33 - 0.16*x30*x34 - 0.06*x30*x35 + 0.4*x30*x36 + 0.08*x30*
     x37 - 0.06*x30*x38 - 0.1*x30*x39 - 0.32*x30*x42 + 0.04*x30*x43 + 0.02*x30*
     x44 - 0.18*x30*x45 + 0.12*x30*x46 + 0.24*x30*x47 - 0.04*x30*x48 - 0.04*x30
     *x49 + 0.08*x30*x50 + 0.24*x30*x51 - 0.16*x30*x52 + 0.12*x30*x53 - 0.06*
     x30*x55 - 0.26*x30*x56 - 0.14*x30*x57 - 0.14*x30*x59 + 0.2*x30*x60 - 0.14*
     x30*x61 - 0.13*sqr(x31) - 0.04*x31*x32 + 0.22*x31*x33 - 0.02*x31*x34 - 
     0.24*x31*x35 - 0.2*x31*x36 - 0.32*x31*x37 + 0.06*x31*x38 + 0.14*x31*x39 - 
     0.1*x31*x40 + 0.02*x31*x41 + 0.02*x31*x42 + 0.08*x31*x43 + 0.22*x31*x44 + 
     0.16*x31*x45 + 0.02*x31*x46 + 0.02*x31*x48 - 0.26*x31*x49 - 0.18*x31*x50
      - 0.08*x31*x52 + 0.3*x31*x53 + 0.14*x31*x54 - 0.06*x31*x55 - 0.08*x31*x56
      - 0.18*x31*x57 + 0.12*x31*x58 - 0.04*x31*x59 - 0.02*x31*x60 - 0.04*x31*
     x61 + 0.04*sqr(x32) + 0.12*x32*x33 + 0.32*x32*x34 + 0.26*x32*x35 - 0.2*x32
     *x36 - 0.16*x32*x38 + 0.14*x32*x39 - 0.16*x32*x41 + 0.08*x32*x42 - 0.28*
     x32*x43 - 0.14*x32*x44 + 0.18*x32*x45 - 0.06*x32*x47 - 0.1*x32*x48 - 0.08*
     x32*x49 - 0.18*x32*x50 + 0.02*x32*x51 + 0.06*x32*x52 + 0.04*x32*x53 + 0.02
     *x32*x54 + 0.04*x32*x55 - 0.06*x32*x56 - 0.26*x32*x57 + 0.04*x32*x58 - 
     0.26*x32*x59 - 0.08*x32*x61 - 0.21*sqr(x33) + 0.32*x33*x34 - 0.1*x33*x35
      - 0.38*x33*x36 - 0.06*x33*x37 + 0.24*x33*x38 - 0.18*x33*x39 + 0.4*x33*x40
      - 0.08*x33*x41 + 0.08*x33*x42 - 0.12*x33*x43 - 0.12*x33*x44 + 0.16*x33*
     x45 - 0.02*x33*x46 + 0.02*x33*x47 - 0.22*x33*x48 + 0.26*x33*x49 - 0.14*x33
     *x50 + 0.1*x33*x51 + 0.02*x33*x52 - 0.18*x33*x53 - 0.02*x33*x54 + 0.06*x33
     *x55 - 0.06*x33*x56 - 0.06*x33*x57 - 0.18*x33*x58 + 0.04*x33*x59 + 0.2*x33
     *x60 + 0.28*x33*x61 - 0.04*sqr(x34) - 0.32*x34*x35 + 0.04*x34*x36 + 0.16*
     x34*x37 + 0.1*x34*x38 + 0.14*x34*x40 + 0.06*x34*x41 - 0.1*x34*x42 - 0.02*
     x34*x43 + 0.06*x34*x44 + 0.1*x34*x45 + 0.2*x34*x46 - 0.12*x34*x47 - 0.12*
     x34*x48 - 0.12*x34*x49 - 0.22*x34*x50 + 0.36*x34*x51 + 0.06*x34*x52 + 0.08
     *x34*x53 - 0.06*x34*x54 + 0.14*x34*x55 - 0.14*x34*x56 - 0.12*x34*x57 - 
     0.24*x34*x58 + 0.16*x34*x59 + 0.02*x34*x60 - 0.06*x34*x61 + 0.16*sqr(x35)
      - 0.06*x35*x36 + 0.26*x35*x37 - 0.16*x35*x38 + 0.26*x35*x39 - 0.04*x35*
     x40 - 0.3*x35*x41 + 0.04*x35*x42 + 0.04*x35*x43 - 0.08*x35*x44 - 0.12*x35*
     x45 - 0.04*x35*x46 - 0.14*x35*x48 + 0.06*x35*x50 - 0.02*x35*x52 + 0.08*x35
     *x53 - 0.22*x35*x54 + 0.14*x35*x55 + 0.04*x35*x56 + 0.2*x35*x57 - 0.3*x35*
     x58 - 0.06*x35*x59 + 0.14*x35*x60 - 0.08*x35*x61 + 0.04*sqr(x36) + 0.22*
     x36*x37 + 0.08*x36*x38 - 0.12*x36*x40 - 0.04*x36*x41 + 0.02*x36*x42 - 0.3*
     x36*x43 + 0.06*x36*x44 + 0.12*x36*x45 + 0.22*x36*x46 - 0.1*x36*x47 + 0.04*
     x36*x48 + 0.1*x36*x49 - 0.06*x36*x50 - 0.02*x36*x51 - 0.08*x36*x52 - 0.14*
     x36*x53 - 0.1*x36*x54 + 0.1*x36*x55 - 0.14*x36*x56 - 0.12*x36*x57 + 0.12*
     x36*x58 - 0.08*x36*x59 + 0.1*x36*x60 - 0.02*x36*x61 + 0.07*sqr(x37) - 0.06
     *x37*x39 + 0.06*x37*x40 - 0.02*x37*x41 - 0.02*x37*x42 + 0.12*x37*x43 - 
     0.08*x37*x44 - 0.14*x37*x45 - 0.14*x37*x46 - 0.02*x37*x47 - 0.08*x37*x48
      + 0.22*x37*x49 + 0.18*x37*x50 - 0.06*x37*x51 - 0.14*x37*x52 + 0.04*x37*
     x53 + 0.16*x37*x54 + 0.14*x37*x55 + 0.14*x37*x56 + 0.26*x37*x57 + 0.22*x37
     *x58 - 0.12*x37*x59 - 0.38*x37*x60 - 0.06*x37*x61 - 0.02*sqr(x38) - 0.08*
     x38*x39 + 0.02*x38*x40 + 0.02*x38*x41 - 0.34*x38*x42 + 0.1*x38*x43 - 0.26*
     x38*x44 + 0.16*x38*x45 - 0.02*x38*x46 + 0.2*x38*x47 + 0.06*x38*x48 + 0.04*
     x38*x49 - 0.08*x38*x50 - 0.06*x38*x51 - 0.14*x38*x52 + 0.08*x38*x53 + 0.08
     *x38*x54 + 0.18*x38*x55 + 0.08*x38*x56 + 0.18*x38*x57 + 0.08*x38*x58 - 
     0.04*x38*x59 + 0.3*x38*x60 - 0.04*x38*x61 - 0.18*sqr(x39) - 0.02*x39*x40
      - 0.14*x39*x41 + 0.32*x39*x42 - 0.1*x39*x43 - 0.16*x39*x44 - 0.02*x39*x46
      + 0.04*x39*x47 + 0.04*x39*x48 - 0.14*x39*x49 + 0.08*x39*x50 + 0.24*x39*
     x51 - 0.14*x39*x52 - 0.28*x39*x53 - 0.12*x39*x54 - 0.16*x39*x55 + 0.18*x39
     *x56 + 0.3*x39*x57 - 0.14*x39*x58 - 0.08*x39*x59 - 0.16*x39*x60 - 0.02*x39
     *x61 - 0.16*sqr(x40) - 0.12*x40*x41 + 0.22*x40*x42 - 0.06*x40*x43 - 0.02*
     x40*x44 + 0.24*x40*x45 + 0.32*x40*x46 - 0.02*x40*x47 + 0.12*x40*x48 + 0.02
     *x40*x49 - 0.12*x40*x50 - 0.08*x40*x51 + 0.18*x40*x52 - 0.06*x40*x53 - 
     0.32*x40*x54 - 0.08*x40*x55 + 0.12*x40*x56 + 0.08*x40*x57 - 0.16*x40*x58
      - 0.2*x40*x59 - 0.06*x40*x60 - 0.04*x40*x61 - 0.07*sqr(x41) - 0.1*x41*x42
      - 0.18*x41*x43 - 0.06*x41*x44 + 0.44*x41*x45 + 0.1*x41*x46 + 0.18*x41*x47
      + 0.2*x41*x48 + 0.16*x41*x49 + 0.06*x41*x50 - 0.02*x41*x51 + 0.06*x41*x52
      - 0.08*x41*x53 + 0.18*x41*x54 - 0.2*x41*x55 + 0.16*x41*x56 - 0.1*x41*x57
      + 0.08*x41*x58 - 0.02*x41*x59 + 0.14*x41*x60 - 0.04*x41*x61 - 0.04*sqr(
     x42) - 0.02*x42*x43 - 0.18*x42*x44 + 0.04*x42*x45 + 0.18*x42*x46 - 0.18*
     x42*x47 - 0.06*x42*x48 + 0.1*x42*x49 - 0.32*x42*x50 - 0.24*x42*x51 + 0.16*
     x42*x52 + 0.16*x42*x53 - 0.06*x42*x54 - 0.16*x42*x55 + 0.08*x42*x56 - 0.2*
     x42*x57 + 0.34*x42*x58 - 0.18*x42*x59 + 0.18*x42*x60 + 0.02*x42*x61 + 0.12
     *sqr(x43) - 0.02*x43*x44 - 0.12*x43*x45 + 0.02*x43*x46 + 0.08*x43*x47 - 
     0.02*x43*x49 - 0.02*x43*x50 - 0.02*x43*x51 + 0.02*x43*x52 + 0.5*x43*x53 - 
     0.06*x43*x54 + 0.24*x43*x55 + 0.26*x43*x57 + 0.06*x43*x58 + 0.02*x43*x59
      + 0.16*x43*x60 + 0.06*x43*x61 + 0.04*sqr(x44) + 0.18*x44*x45 - 0.24*x44*
     x46 + 0.16*x44*x47 - 0.06*x44*x48 + 0.2*x44*x49 + 0.22*x44*x50 - 0.24*x44*
     x51 + 0.18*x44*x52 + 0.02*x44*x53 - 0.04*x44*x54 + 0.06*x44*x55 - 0.02*x44
     *x56 - 0.14*x44*x57 + 0.08*x44*x58 + 0.2*x44*x59 + 0.06*x44*x60 + 0.14*x44
     *x61 + 0.14*x45*x46 + 0.04*x45*x47 - 0.04*x45*x48 - 0.18*x45*x49 + 0.28*
     x45*x50 - 0.08*x45*x51 - 0.08*x45*x52 + 0.2*x45*x53 + 0.08*x45*x54 - 0.26*
     x45*x55 + 0.14*x45*x57 - 0.08*x45*x58 + 0.02*x45*x59 - 0.06*x45*x60 + 0.1*
     x45*x61 - 0.05*sqr(x46) - 0.06*x46*x47 + 0.08*x46*x48 + 0.1*x46*x49 - 0.06
     *x46*x50 - 0.04*x46*x51 - 0.12*x46*x52 - 0.12*x46*x53 - 0.16*x46*x54 - 
     0.02*x46*x55 + 0.12*x46*x56 - 0.1*x46*x57 + 0.18*x46*x58 + 0.26*x46*x59 + 
     0.18*x46*x60 + 0.02*sqr(x47) + 0.02*x47*x48 - 0.1*x47*x49 - 0.18*x47*x50
      + 0.04*x47*x51 - 0.32*x47*x52 - 0.18*x47*x53 - 0.02*x47*x54 - 0.18*x47*
     x55 + 0.06*x47*x56 - 0.04*x47*x57 - 0.02*x47*x58 + 0.34*x47*x59 - 0.14*x47
     *x60 + 0.22*x47*x61 + 0.16*sqr(x48) - 0.04*x48*x49 - 0.12*x48*x50 + 0.28*
     x48*x51 - 0.2*x48*x53 - 0.02*x48*x54 + 0.14*x48*x55 + 0.02*x48*x56 + 0.08*
     x48*x57 + 0.12*x48*x58 + 0.04*x48*x59 - 0.06*x48*x60 - 0.14*x48*x61 + 0.09
     *sqr(x49) + 0.04*x49*x50 + 0.24*x49*x51 - 0.12*x49*x52 + 0.08*x49*x53 + 
     0.02*x49*x54 - 0.06*x49*x55 + 0.14*x49*x56 - 0.1*x49*x57 - 0.14*x49*x58 + 
     0.16*x49*x59 + 0.22*x49*x60 - 0.18*x49*x61 + 0.19*sqr(x50) - 0.32*x50*x51
      + 0.1*x50*x52 - 0.1*x50*x54 - 0.02*x50*x55 - 0.22*x50*x56 - 0.16*x50*x57
      - 0.2*x50*x58 - 0.06*x50*x60 + 0.22*x50*x61 - 0.14*sqr(x51) - 0.04*x51*
     x52 + 0.02*x51*x53 - 0.08*x51*x54 + 0.12*x51*x55 - 0.08*x51*x56 - 0.08*x51
     *x57 + 0.12*x51*x58 - 0.08*x51*x59 - 0.26*x51*x60 + 0.28*x51*x61 - 0.09*
     sqr(x52) - 0.08*x52*x53 - 0.2*x52*x54 + 0.18*x52*x55 + 0.04*x52*x56 + 0.04
     *x52*x57 - 0.1*x52*x58 + 0.16*x52*x59 + 0.04*x52*x60 - 0.08*x52*x61 + 0.13
     *sqr(x53) + 0.1*x53*x54 - 0.08*x53*x55 - 0.06*x53*x56 - 0.06*x53*x59 + 
     0.12*x53*x60 - 0.1*x53*x61 - 0.09*sqr(x54) + 0.04*x54*x55 + 0.34*x54*x56
      + 0.18*x54*x57 - 0.1*x54*x58 - 0.1*x54*x59 - 0.04*x54*x60 + 0.36*x54*x61
      - 0.08*sqr(x55) + 0.02*x55*x56 - 0.18*x55*x57 + 0.48*x55*x58 + 0.16*x55*
     x59 - 0.22*x55*x60 - 0.03*sqr(x56) + 0.18*x56*x57 - 0.24*x56*x58 - 0.12*
     x56*x59 - 0.14*x56*x60 - 0.1*sqr(x57) - 0.1*x57*x58 + 0.08*x57*x59 + 0.38*
     x57*x60 + 0.06*x57*x61 + 0.16*sqr(x58) - 0.26*x58*x59 + 0.08*x58*x60 + 
     0.02*x58*x61 - 0.16*sqr(x59) - 0.14*x59*x60 + 0.08*x59*x61 - 0.09*sqr(x60)
      + 0.08*x60*x61 + 0.02*sqr(x61) - objvar =E= 0;

e2..  - 0.22*x2 - 0.25*x3 - 0.16*x4 + 0.16*x5 + 0.24*x6 - 0.9*x7 - 0.67*x8
      - 0.64*x9 - 0.18*x10 - 0.57*x11 - 0.07*x12 + 0.87*x13 - 0.95*x14
      - 0.87*x15 + 0.39*x16 - 0.83*x17 - 0.81*x18 + 0.71*x19 - 0.98*x20
      + 0.06*x21 - 0.09*x22 + 0.64*x23 + 0.93*x24 + 0.2*x25 - 0.37*x26
      + 0.38*x27 + 0.31*x28 + 0.75*x29 + 0.66*x30 - 0.76*x31 - 0.16*x32
      - 0.03*x33 - 0.73*x34 - 0.04*x35 + 0.76*x36 + 0.29*x37 + 0.12*x38
      + 0.59*x39 + 0.31*x40 + 0.64*x41 + 0.34*x42 - 0.96*x43 - 0.63*x44
      + 0.67*x45 - 0.24*x46 - 0.05*x47 - 0.94*x48 - 0.51*x49 - 0.25*x50
      - 0.91*x51 + 0.09*x52 - 0.18*x53 - 0.59*x54 - 0.22*x55 + 0.42*x56
      + 0.66*x57 - 0.53*x58 - 0.74*x59 + 0.72*x60 + 0.59*x61 =E= 0.86;

e3..    0.65*x2 + 0.91*x3 - 0.26*x4 - 0.28*x5 - 0.3*x6 - 0.38*x7 + 0.37*x8
      + 0.05*x9 + 0.17*x10 - 0.7*x11 + 0.32*x12 - 0.83*x13 + 0.71*x14
      - 0.16*x15 - 0.36*x16 - 0.61*x17 - 0.51*x18 + 0.79*x19 + 0.64*x20
      + 0.92*x21 + 0.47*x22 - 0.09*x23 - 0.65*x24 - 0.42*x25 - 0.73*x26
      + 0.29*x27 - 0.49*x28 - 0.16*x29 + 0.5*x30 - 0.12*x31 - 0.56*x32
      - 0.23*x33 - 0.09*x34 - 0.43*x35 - 0.47*x36 - 0.46*x37 - 0.23*x38
      + 0.95*x39 + 0.55*x40 - 0.95*x41 - 0.21*x42 - 0.59*x43 - 0.97*x44
      - 0.65*x45 + 0.26*x46 + 0.17*x47 - 0.23*x48 - 0.08*x49 + 0.24*x50
      + 0.58*x51 - 0.54*x52 + 0.84*x53 + 0.76*x54 + 0.33*x55 + 0.79*x56
      - 0.05*x57 - 0.3*x58 + 0.61*x59 + 0.88*x60 - 0.3*x61 =E= 0.93;

e4..  - 0.59*x2 - 0.05*x3 - 0.15*x4 + 0.75*x5 + 0.17*x6 + 0.75*x7 - 0.57*x8
      + 0.43*x9 - 0.96*x10 - 0.79*x11 + 0.53*x12 + 0.55*x13 + x14 + 0.75*x15
      + 0.22*x16 - 0.2*x17 + 0.82*x18 - 0.95*x19 + 0.07*x20 + 0.64*x21
      - 0.43*x22 - 0.88*x23 - 0.05*x24 - 0.18*x25 + 0.85*x26 + 0.05*x27
      - 0.84*x28 - 0.84*x29 + 0.14*x30 - 0.72*x31 - 0.24*x32 + 0.23*x33
      - 0.79*x34 - 0.33*x35 - 0.01*x36 - 0.23*x37 - 0.67*x38 - 0.96*x39
      - 0.06*x40 - 0.14*x41 - 0.99*x42 + 0.64*x43 + 0.75*x44 + 0.53*x45
      - 0.86*x46 + 0.2*x47 + 0.28*x48 + 0.48*x49 - 0.71*x50 + 0.41*x51
      - 0.75*x52 + 0.03*x53 - 0.55*x54 + 0.06*x55 + 0.45*x56 + 0.91*x57
      + 0.61*x58 - 0.4*x59 - 0.54*x60 - 0.63*x61 =E= -0.93;

e5..    0.36*x2 + 0.25*x3 - 0.52*x4 + 0.6*x5 - 0.42*x6 - 0.68*x7 - 0.51*x8
      - 0.86*x9 + 0.63*x10 - 0.9*x11 + 0.99*x12 + 0.02*x13 + 0.82*x14
      - 0.62*x15 - 0.41*x16 + 0.97*x17 - 0.04*x18 - 0.59*x19 - 0.45*x20
      + 0.49*x21 - 0.44*x22 + 0.31*x23 + 0.42*x24 + 0.56*x25 + 0.84*x26
      - 0.54*x27 + 0.06*x28 + 0.45*x29 - 0.27*x30 - 0.38*x31 - 0.95*x32
      - 0.25*x33 - 0.86*x34 + 0.23*x35 - 0.98*x36 + 0.03*x37 - 0.57*x38
      + 0.97*x39 - 0.84*x40 - 0.11*x41 - 0.86*x42 - 0.26*x43 + 0.46*x44
      + 0.91*x45 + 0.84*x46 - 0.28*x47 - 0.21*x48 + x49 - 0.61*x50 + 0.87*x51
      - 0.77*x52 + 0.01*x53 + 0.36*x54 + 0.95*x55 - 0.85*x56 + 0.81*x57
      + 0.26*x58 - 0.49*x59 + 0.89*x60 + 0.4*x61 =E= -0.56;

e6..    0.09*x2 - 0.19*x3 + 0.99*x4 - 0.74*x5 - 0.27*x6 - 0.31*x7 - 0.18*x8
      + 0.43*x9 - 0.38*x10 - 0.66*x11 + 0.2*x12 - 0.88*x13 + 0.33*x14
      + 0.87*x15 - 0.44*x16 + 0.79*x17 - 0.8*x18 - 0.09*x19 - 0.92*x20
      - 0.09*x21 + 0.7*x22 + 0.73*x23 - 0.03*x24 + 0.45*x25 + 0.47*x26
      - 0.05*x27 - 0.91*x28 + 0.92*x29 + 0.87*x30 - 0.54*x31 + 0.95*x32
      - 0.77*x33 - 0.87*x34 + 0.75*x35 - 0.92*x36 + 0.94*x37 + 0.92*x38
      - 0.04*x39 - 0.03*x40 + 0.33*x41 - 0.62*x42 + 0.88*x43 + 0.21*x44
      + 0.84*x45 + 0.13*x46 + 0.48*x47 + 0.52*x48 - 0.69*x49 - 0.51*x50
      + 0.07*x51 - 0.11*x52 - 0.03*x53 + 0.4*x54 + 0.04*x55 + 0.91*x56
      + 0.79*x57 + 0.17*x58 - 0.59*x59 - 0.22*x60 + 0.38*x61 =E= 0.59;

e7..  - 0.84*x2 - 0.02*x3 + 0.62*x4 + 0.56*x5 - 0.08*x6 - 0.36*x7 - 0.8*x8
      + 0.87*x9 + 0.77*x10 - 0.92*x11 + 0.77*x12 + 0.21*x13 - 0.43*x14
      - 0.39*x15 - 0.24*x16 - 0.12*x17 - 0.69*x18 + 0.15*x19 + 0.44*x20
      + 0.82*x21 + 0.01*x22 + 0.9*x23 + 0.09*x24 + 0.98*x25 - 0.77*x26
      + 0.1*x27 - 0.11*x28 + 0.41*x29 - 0.23*x30 + 0.95*x31 - 0.5*x32
      + 0.67*x33 - 0.21*x34 + 0.25*x35 - 0.65*x36 + 0.51*x37 - 0.32*x38
      + 0.09*x39 + 0.92*x40 + 0.31*x41 - 0.58*x42 - 0.02*x43 - 0.65*x44
      - 0.23*x45 + 0.77*x46 - 0.71*x47 - 0.68*x48 - 0.67*x49 + 0.19*x50
      - 0.94*x51 - 0.13*x52 - 0.1*x53 - 0.08*x54 - 0.64*x55 - 0.28*x56
      + 0.69*x57 + 0.5*x58 + 0.62*x59 + 0.76*x60 - 0.42*x61 =E= -0.96;

e8.. 0.26*sqr(x2) + 0.55*x2 + 0.3*x3*x2 + 0.89*x3 - 0.2*x4*x2 - 0.97*x4 + 0.06*
     x5*x2 + 0.12*x5 - 0.06*x6*x2 + 0.42*x6 + 0.14*x7*x2 + 0.69*x7 - 0.2*x8*x2
      - 0.92*x8 - 0.12*x9*x2 + 0.79*x9 - 0.18*x10*x2 + 0.22*x10 - 0.18*x11*x2
      - 0.52*x11 - 0.08*x13*x2 + 0.38*x13 - 0.28*x14*x2 + 0.06*x14 + 0.14*x15*
     x2 + 0.82*x15 - 0.24*x16*x2 + 0.18*x16 - 0.02*x17*x2 - 0.43*x17 + 0.36*x18
     *x2 + 0.96*x18 - 0.04*x19*x2 + 0.84*x19 + 0.04*x20*x2 + 0.23*x20 + 0.04*
     x21*x2 + x21 + 0.2*x22*x2 - 0.85*x22 + 0.1*x23*x2 + 0.46*x23 + 0.08*x24*x2
      - 0.38*x24 - 0.18*x25*x2 - 0.06*x25 + 0.02*x26*x2 - 0.32*x26 - 0.14*x27*
     x2 - 0.28*x27 - 0.1*x28*x2 + 0.09*x28 - 0.06*x29*x2 + 0.58*x29 + 0.06*x30*
     x2 + 0.89*x30 + 0.32*x31*x2 + 0.85*x31 - 0.1*x32*x2 + 0.49*x32 - 0.18*x33*
     x2 - 0.63*x33 + 0.06*x34*x2 - 0.9*x34 + 0.02*x36*x2 + 0.22*x36 + 0.22*x37*
     x2 - 0.54*x37 + 0.1*x38*x2 + 0.25*x38 + 0.1*x39*x2 + 0.83*x39 - 0.24*x40*
     x2 - 0.89*x40 - 0.12*x41*x2 + 0.52*x41 - 0.08*x42*x2 - 0.19*x42 + 0.12*x43
     *x2 + 0.14*x43 - 0.08*x44*x2 - 0.67*x44 - 0.12*x45*x2 - 0.06*x45 + 0.04*
     x46*x2 - 0.28*x46 - 0.02*x47*x2 + 0.83*x47 - 0.16*x48*x2 + 0.76*x48 - 0.12
     *x49*x2 - 0.74*x49 + 0.04*x50*x2 + 0.74*x50 - 0.42*x51*x2 - 0.35*x51 + 
     0.26*x52*x2 + 0.91*x52 + 0.26*x53*x2 - 0.27*x53 + 0.26*x54*x2 + 0.08*x54
      + 0.1*x55*x2 + 0.03*x55 + 0.16*x56*x2 + 0.31*x56 - 0.02*x57*x2 + 0.58*x57
      - 0.08*x58*x2 + 0.03*x58 + 0.06*x59*x2 + 0.27*x59 + 0.02*x60*x2 - 0.11*
     x60 - 0.1*x61*x2 + 0.98*x61 + 0.1*sqr(x3) + 0.34*x4*x3 + 0.02*x6*x3 + 0.1*
     x7*x3 - 0.04*x8*x3 + 0.2*x9*x3 - 0.12*x10*x3 + 0.34*x11*x3 + 0.16*x12*x3
      - 0.01*x12 - 0.04*x13*x3 - 0.2*x14*x3 + 0.2*x15*x3 - 0.06*x16*x3 + 0.1*
     x17*x3 + 0.14*x18*x3 + 0.26*x19*x3 - 0.1*x20*x3 - 0.2*x21*x3 - 0.1*x22*x3
      + 0.08*x23*x3 + 0.14*x24*x3 + 0.1*x25*x3 + 0.24*x26*x3 - 0.18*x27*x3 - 
     0.1*x28*x3 + 0.06*x29*x3 + 0.14*x30*x3 - 0.16*x31*x3 + 0.16*x33*x3 + 0.02*
     x34*x3 + 0.2*x35*x3 - 0.58*x35 - 0.14*x36*x3 + 0.3*x37*x3 - 0.08*x38*x3 - 
     0.1*x39*x3 + 0.12*x40*x3 + 0.22*x41*x3 + 0.16*x42*x3 - 0.18*x43*x3 + 0.08*
     x44*x3 - 0.1*x45*x3 - 0.14*x46*x3 - 0.1*x47*x3 - 0.42*x48*x3 + 0.06*x49*x3
      - 0.22*x50*x3 + 0.08*x51*x3 - 0.36*x52*x3 + 0.06*x53*x3 - 0.18*x54*x3 - 
     0.06*x55*x3 - 0.2*x56*x3 - 0.2*x57*x3 - 0.08*x58*x3 + 0.02*x59*x3 - 0.02*
     x60*x3 - 0.04*x61*x3 + 0.03*sqr(x4) + 0.1*x5*x4 - 0.02*x6*x4 - 0.24*x7*x4
      + 0.08*x8*x4 + 0.02*x9*x4 - 0.04*x10*x4 + 0.18*x11*x4 + 0.08*x12*x4 + 
     0.02*x13*x4 - 0.24*x14*x4 - 0.12*x15*x4 + 0.02*x16*x4 - 0.02*x18*x4 + 0.06
     *x19*x4 + 0.14*x20*x4 + 0.02*x21*x4 + 0.1*x22*x4 + 0.1*x23*x4 - 0.04*x24*
     x4 - 0.54*x25*x4 + 0.04*x26*x4 - 0.08*x27*x4 + 0.18*x28*x4 + 0.12*x29*x4
      - 0.06*x30*x4 - 0.18*x31*x4 - 0.3*x32*x4 - 0.1*x33*x4 - 0.18*x34*x4 - 
     0.04*x35*x4 + 0.02*x36*x4 + 0.06*x37*x4 + 0.1*x38*x4 + 0.02*x39*x4 + 0.12*
     x40*x4 - 0.14*x41*x4 + 0.18*x42*x4 - 0.06*x43*x4 - 0.22*x44*x4 + 0.28*x45*
     x4 - 0.18*x46*x4 + 0.06*x47*x4 + 0.12*x48*x4 + 0.1*x49*x4 + 0.24*x50*x4 + 
     0.1*x51*x4 + 0.1*x52*x4 - 0.16*x53*x4 - 0.02*x54*x4 - 0.12*x55*x4 + 0.12*
     x56*x4 + 0.02*x57*x4 + 0.08*x58*x4 + 0.16*x59*x4 - 0.04*x60*x4 + 0.22*x61*
     x4 - 0.01*sqr(x5) - 0.08*x6*x5 + 0.04*x7*x5 - 0.16*x8*x5 - 0.3*x9*x5 + 
     0.16*x10*x5 - 0.08*x11*x5 + 0.1*x12*x5 + 0.32*x13*x5 + 0.24*x14*x5 + 0.08*
     x15*x5 - 0.04*x16*x5 + 0.36*x17*x5 - 0.18*x18*x5 - 0.16*x19*x5 + 0.2*x20*
     x5 - 0.04*x21*x5 + 0.08*x22*x5 + 0.04*x23*x5 + 0.1*x24*x5 - 0.14*x25*x5 - 
     0.16*x27*x5 + 0.1*x28*x5 + 0.18*x29*x5 - 0.1*x30*x5 + 0.3*x31*x5 + 0.02*
     x32*x5 - 0.16*x33*x5 + 0.06*x34*x5 + 0.14*x35*x5 + 0.18*x36*x5 - 0.02*x37*
     x5 - 0.06*x38*x5 - 0.1*x40*x5 - 0.08*x41*x5 - 0.22*x42*x5 + 0.02*x43*x5 - 
     0.04*x44*x5 - 0.24*x45*x5 + 0.06*x46*x5 + 0.34*x47*x5 + 0.16*x48*x5 + 0.02
     *x49*x5 + 0.18*x50*x5 - 0.28*x51*x5 + 0.16*x52*x5 + 0.1*x53*x5 - 0.08*x54*
     x5 - 0.4*x55*x5 - 0.12*x56*x5 + 0.1*x58*x5 - 0.06*x59*x5 + 0.02*x60*x5 - 
     0.12*x61*x5 - 0.12*sqr(x6) - 0.16*x7*x6 - 0.08*x8*x6 - 0.06*x9*x6 - 0.02*
     x10*x6 + 0.04*x11*x6 + 0.14*x12*x6 + 0.08*x13*x6 - 0.1*x14*x6 + 0.3*x15*x6
      + 0.1*x16*x6 - 0.14*x17*x6 + 0.16*x18*x6 + 0.08*x19*x6 - 0.1*x20*x6 + 
     0.02*x21*x6 + 0.06*x22*x6 - 0.24*x23*x6 - 0.08*x24*x6 - 0.04*x25*x6 + 0.08
     *x26*x6 - 0.06*x27*x6 + 0.02*x28*x6 - 0.24*x30*x6 - 0.08*x31*x6 + 0.16*x32
     *x6 + 0.24*x33*x6 - 0.04*x34*x6 + 0.18*x35*x6 - 0.24*x36*x6 - 0.28*x37*x6
      - 0.26*x38*x6 + 0.02*x39*x6 + 0.24*x40*x6 - 0.04*x41*x6 - 0.14*x42*x6 + 
     0.06*x43*x6 - 0.06*x44*x6 - 0.18*x45*x6 + 0.22*x46*x6 + 0.06*x47*x6 + 0.14
     *x48*x6 - 0.22*x49*x6 - 0.04*x50*x6 + 0.02*x51*x6 + 0.22*x52*x6 + 0.06*x53
     *x6 - 0.12*x54*x6 + 0.28*x55*x6 - 0.18*x56*x6 - 0.12*x57*x6 + 0.16*x58*x6
      + 0.3*x59*x6 + 0.24*x61*x6 + 0.28*sqr(x7) + 0.18*x8*x7 - 0.12*x9*x7 + 
     0.06*x10*x7 + 0.14*x11*x7 + 0.12*x13*x7 + 0.12*x14*x7 + 0.14*x15*x7 + 0.18
     *x16*x7 - 0.16*x18*x7 + 0.32*x19*x7 + 0.16*x20*x7 - 0.02*x21*x7 + 0.04*x22
     *x7 - 0.04*x23*x7 + 0.1*x25*x7 - 0.16*x26*x7 + 0.22*x27*x7 - 0.34*x28*x7
      - 0.06*x29*x7 - 0.16*x31*x7 - 0.32*x32*x7 - 0.1*x33*x7 + 0.06*x34*x7 - 
     0.08*x35*x7 + 0.2*x36*x7 - 0.12*x37*x7 + 0.22*x38*x7 - 0.26*x40*x7 + 0.08*
     x41*x7 + 0.26*x42*x7 - 0.18*x43*x7 + 0.06*x44*x7 + 0.02*x45*x7 - 0.08*x46*
     x7 - 0.3*x47*x7 - 0.08*x48*x7 - 0.02*x49*x7 + 0.14*x50*x7 + 0.2*x51*x7 + 
     0.06*x52*x7 - 0.06*x53*x7 + 0.12*x54*x7 + 0.02*x55*x7 - 0.32*x56*x7 + 0.12
     *x57*x7 + 0.24*x58*x7 - 0.16*x59*x7 - 0.12*x61*x7 + 0.14*sqr(x8) - 0.18*x9
     *x8 - 0.08*x11*x8 + 0.04*x12*x8 - 0.22*x13*x8 + 0.2*x14*x8 + 0.36*x15*x8
      - 0.18*x16*x8 + 0.12*x17*x8 - 0.14*x18*x8 + 0.04*x19*x8 + 0.04*x20*x8 - 
     0.08*x21*x8 - 0.08*x22*x8 - 0.12*x23*x8 + 0.12*x24*x8 - 0.14*x25*x8 + 0.08
     *x26*x8 - 0.02*x27*x8 + 0.08*x28*x8 - 0.04*x29*x8 + 0.16*x30*x8 - 0.1*x31*
     x8 + 0.1*x32*x8 + 0.06*x33*x8 + 0.06*x34*x8 - 0.06*x35*x8 - 0.02*x36*x8 - 
     0.14*x37*x8 + 0.08*x38*x8 - 0.02*x39*x8 - 0.04*x40*x8 - 0.06*x41*x8 - 0.06
     *x42*x8 + 0.12*x43*x8 - 0.04*x44*x8 + 0.12*x45*x8 + 0.4*x46*x8 + 0.26*x47*
     x8 - 0.04*x48*x8 + 0.26*x49*x8 - 0.2*x50*x8 + 0.08*x51*x8 + 0.06*x52*x8 - 
     0.04*x53*x8 + 0.02*x54*x8 - 0.12*x55*x8 - 0.12*x56*x8 + 0.04*x57*x8 + 0.3*
     x58*x8 - 0.04*x59*x8 - 0.04*x60*x8 + 0.14*x61*x8 + 0.04*sqr(x9) - 0.02*x10
     *x9 - 0.1*x11*x9 - 0.08*x12*x9 + 0.02*x13*x9 + 0.16*x14*x9 + 0.02*x15*x9
      - 0.04*x17*x9 - 0.02*x18*x9 + 0.02*x19*x9 + 0.04*x20*x9 - 0.06*x21*x9 + 
     0.12*x22*x9 - 0.14*x23*x9 + 0.16*x25*x9 - 0.08*x26*x9 + 0.28*x27*x9 + 0.2*
     x28*x9 - 0.04*x29*x9 + 0.08*x30*x9 + 0.18*x31*x9 - 0.18*x32*x9 - 0.2*x33*
     x9 + 0.16*x34*x9 + 0.04*x35*x9 - 0.24*x36*x9 + 0.06*x37*x9 - 0.02*x38*x9
      + 0.12*x39*x9 - 0.02*x40*x9 + 0.14*x41*x9 + 0.14*x42*x9 - 0.08*x43*x9 + 
     0.04*x44*x9 + 0.06*x45*x9 + 0.02*x46*x9 + 0.14*x47*x9 - 0.06*x48*x9 - 0.18
     *x49*x9 - 0.22*x50*x9 - 0.2*x51*x9 + 0.16*x52*x9 - 0.04*x53*x9 + 0.06*x54*
     x9 + 0.06*x55*x9 - 0.18*x56*x9 + 0.12*x57*x9 - 0.1*x58*x9 + 0.46*x59*x9 + 
     0.12*x60*x9 - 0.02*x61*x9 - 0.11*sqr(x10) - 0.08*x11*x10 + 0.06*x12*x10 - 
     0.02*x13*x10 - 0.02*x14*x10 + 0.26*x15*x10 - 0.04*x16*x10 - 0.22*x18*x10
      + 0.14*x19*x10 - 0.04*x20*x10 + 0.12*x21*x10 - 0.04*x23*x10 + 0.02*x24*
     x10 - 0.08*x25*x10 + 0.14*x26*x10 - 0.22*x27*x10 + 0.16*x28*x10 + 0.2*x29*
     x10 - 0.04*x30*x10 + 0.16*x31*x10 - 0.12*x32*x10 + 0.06*x33*x10 - 0.28*x34
     *x10 + 0.12*x35*x10 - 0.14*x36*x10 - 0.04*x37*x10 + 0.02*x38*x10 + 0.12*
     x39*x10 - 0.14*x40*x10 + 0.1*x41*x10 - 0.06*x42*x10 - 0.08*x43*x10 - 0.12*
     x45*x10 - 0.1*x46*x10 + 0.04*x47*x10 - 0.16*x48*x10 + 0.06*x49*x10 + 0.3*
     x50*x10 + 0.16*x51*x10 - 0.1*x52*x10 - 0.38*x53*x10 + 0.12*x54*x10 + 0.34*
     x55*x10 + 0.08*x56*x10 + 0.18*x57*x10 - 0.14*x58*x10 + 0.08*x59*x10 + 0.3*
     x60*x10 + 0.08*x61*x10 + 0.06*sqr(x11) + 0.08*x12*x11 + 0.12*x13*x11 + 
     0.06*x14*x11 + 0.08*x15*x11 - 0.12*x16*x11 - 0.1*x17*x11 + 0.2*x18*x11 + 
     0.22*x19*x11 + 0.06*x20*x11 - 0.08*x21*x11 + 0.02*x22*x11 - 0.36*x23*x11
      + 0.12*x24*x11 - 0.12*x25*x11 + 0.1*x28*x11 - 0.14*x29*x11 - 0.06*x30*x11
      - 0.14*x31*x11 + 0.08*x32*x11 + 0.04*x33*x11 - 0.06*x34*x11 + 0.04*x35*
     x11 + 0.06*x36*x11 + 0.1*x37*x11 - 0.18*x38*x11 + 0.26*x39*x11 - 0.06*x40*
     x11 + 0.1*x41*x11 + 0.02*x42*x11 - 0.32*x44*x11 - 0.16*x45*x11 + 0.1*x46*
     x11 - 0.08*x47*x11 + 0.12*x48*x11 - 0.28*x49*x11 + 0.12*x50*x11 + 0.04*x51
     *x11 - 0.16*x52*x11 + 0.02*x53*x11 - 0.08*x54*x11 - 0.04*x55*x11 + 0.06*
     x56*x11 - 0.04*x57*x11 - 0.3*x58*x11 - 0.04*x59*x11 + 0.2*x60*x11 + 0.02*
     x61*x11 + 0.06*x14*x12 + 0.08*x15*x12 - 0.1*x16*x12 - 0.14*x18*x12 + 0.12*
     x19*x12 + 0.3*x20*x12 - 0.08*x21*x12 + 0.2*x22*x12 - 0.06*x23*x12 + 0.1*
     x24*x12 - 0.3*x25*x12 + 0.02*x27*x12 - 0.04*x28*x12 - 0.12*x29*x12 + 0.12*
     x30*x12 - 0.32*x31*x12 + 0.06*x32*x12 + 0.06*x33*x12 - 0.1*x34*x12 + 0.1*
     x35*x12 - 0.2*x36*x12 + 0.08*x37*x12 - 0.24*x38*x12 + 0.02*x39*x12 + 0.3*
     x40*x12 - 0.26*x41*x12 - 0.16*x42*x12 - 0.02*x43*x12 + 0.36*x44*x12 + 0.18
     *x45*x12 + 0.04*x46*x12 + 0.12*x47*x12 + 0.02*x48*x12 - 0.24*x49*x12 - 
     0.08*x50*x12 - 0.04*x51*x12 - 0.18*x52*x12 - 0.08*x53*x12 + 0.28*x54*x12
      - 0.22*x55*x12 + 0.06*x56*x12 + 0.02*x57*x12 + 0.16*x58*x12 - 0.04*x59*
     x12 + 0.12*x61*x12 - 0.06*x13*x13 + 0.04*x14*x13 - 0.32*x15*x13 - 0.16*x17
     *x13 - 0.1*x18*x13 - 0.14*x19*x13 - 0.04*x20*x13 + 0.02*x21*x13 + 0.14*x22
     *x13 + 0.22*x23*x13 + 0.12*x24*x13 - 0.08*x25*x13 + 0.02*x26*x13 + 0.2*x27
     *x13 - 0.08*x28*x13 + 0.1*x29*x13 + 0.06*x30*x13 + 0.06*x31*x13 - 0.08*x32
     *x13 + 0.24*x33*x13 - 0.2*x34*x13 - 0.12*x35*x13 - 0.08*x36*x13 - 0.06*x37
     *x13 + 0.18*x38*x13 + 0.04*x39*x13 - 0.22*x40*x13 + 0.08*x41*x13 + 0.08*
     x42*x13 + 0.14*x43*x13 + 0.26*x44*x13 + 0.02*x45*x13 + 0.04*x46*x13 - 0.06
     *x47*x13 + 0.1*x49*x13 + 0.06*x50*x13 + 0.06*x51*x13 - 0.02*x52*x13 + 0.08
     *x53*x13 - 0.18*x54*x13 + 0.34*x55*x13 - 0.02*x56*x13 - 0.28*x57*x13 + 0.1
     *x59*x13 - 0.04*x60*x13 + 0.14*x61*x13 + 0.16*x15*x14 - 0.08*x16*x14 + 
     0.02*x17*x14 + 0.2*x18*x14 - 0.04*x19*x14 + 0.08*x20*x14 + 0.26*x21*x14 - 
     0.04*x22*x14 + 0.08*x23*x14 - 0.16*x24*x14 + 0.2*x25*x14 - 0.2*x26*x14 + 
     0.26*x27*x14 + 0.18*x28*x14 + 0.14*x29*x14 - 0.02*x30*x14 + 0.18*x31*x14
      - 0.28*x32*x14 + 0.2*x33*x14 + 0.06*x34*x14 - 0.18*x35*x14 - 0.22*x36*x14
      + 0.22*x37*x14 + 0.08*x38*x14 + 0.02*x39*x14 + 0.06*x40*x14 - 0.04*x41*
     x14 - 0.08*x42*x14 + 0.02*x43*x14 - 0.04*x44*x14 - 0.08*x45*x14 + 0.18*x46
     *x14 + 0.32*x47*x14 + 0.02*x48*x14 + 0.08*x49*x14 - 0.06*x51*x14 + 0.12*
     x52*x14 - 0.1*x54*x14 - 0.16*x55*x14 - 0.18*x56*x14 - 0.08*x57*x14 + 0.26*
     x58*x14 - 0.18*x59*x14 - 0.1*x60*x14 - 0.08*x61*x14 - 0.1*sqr(x15) - 0.1*
     x16*x15 - 0.06*x17*x15 + 0.22*x18*x15 - 0.18*x19*x15 - 0.16*x20*x15 + 0.06
     *x21*x15 - 0.02*x22*x15 + 0.08*x23*x15 - 0.04*x24*x15 + 0.16*x25*x15 + 
     0.06*x26*x15 - 0.1*x27*x15 + 0.06*x28*x15 - 0.02*x29*x15 + 0.1*x30*x15 - 
     0.08*x31*x15 - 0.14*x32*x15 + 0.02*x33*x15 - 0.1*x34*x15 - 0.34*x35*x15 - 
     0.28*x36*x15 + 0.12*x37*x15 + 0.24*x38*x15 + 0.08*x39*x15 + 0.22*x40*x15
      - 0.04*x41*x15 + 0.22*x42*x15 - 0.16*x43*x15 + 0.08*x44*x15 - 0.14*x45*
     x15 + 0.04*x46*x15 - 0.02*x47*x15 + 0.12*x48*x15 + 0.1*x49*x15 + 0.02*x50*
     x15 + 0.02*x51*x15 - 0.04*x52*x15 + 0.08*x53*x15 + 0.08*x54*x15 - 0.1*x55*
     x15 - 0.3*x56*x15 + 0.14*x57*x15 - 0.1*x58*x15 + 0.02*x59*x15 + 0.22*x60*
     x15 - 0.02*x61*x15 + 0.04*sqr(x16) + 0.06*x17*x16 - 0.12*x18*x16 + 0.16*
     x19*x16 + 0.08*x20*x16 - 0.16*x21*x16 + 0.1*x22*x16 + 0.3*x23*x16 - 0.08*
     x24*x16 + 0.24*x25*x16 + 0.02*x26*x16 - 0.08*x27*x16 + 0.06*x28*x16 - 0.1*
     x30*x16 + 0.08*x31*x16 + 0.04*x32*x16 - 0.06*x33*x16 - 0.24*x34*x16 + 0.06
     *x35*x16 + 0.14*x36*x16 + 0.02*x37*x16 + 0.1*x38*x16 + 0.08*x39*x16 + 0.24
     *x40*x16 - 0.02*x41*x16 - 0.04*x42*x16 - 0.18*x43*x16 + 0.38*x44*x16 + 0.2
     *x45*x16 + 0.04*x46*x16 - 0.18*x47*x16 + 0.18*x48*x16 + 0.2*x49*x16 - 0.02
     *x50*x16 + 0.02*x51*x16 - 0.06*x52*x16 + 0.1*x53*x16 + 0.14*x54*x16 - 0.14
     *x55*x16 + 0.18*x56*x16 + 0.02*x57*x16 - 0.08*x59*x16 + 0.14*x60*x16 - 
     0.08*x61*x16 - 0.1*x18*x17 + 0.06*x19*x17 + 0.12*x20*x17 + 0.18*x21*x17 - 
     0.06*x22*x17 - 0.06*x23*x17 + 0.02*x24*x17 + 0.5*x25*x17 + 0.14*x26*x17 - 
     0.08*x27*x17 - 0.22*x28*x17 - 0.16*x29*x17 - 0.12*x30*x17 - 0.02*x31*x17
      + 0.08*x32*x17 + 0.2*x33*x17 + 0.32*x34*x17 + 0.2*x35*x17 + 0.1*x36*x17
      - 0.06*x37*x17 - 0.02*x39*x17 + 0.12*x40*x17 - 0.12*x41*x17 + 0.06*x42*
     x17 + 0.22*x43*x17 - 0.2*x44*x17 + 0.16*x45*x17 + 0.14*x46*x17 + 0.2*x47*
     x17 - 0.06*x48*x17 - 0.14*x49*x17 - 0.2*x50*x17 - 0.18*x51*x17 - 0.2*x52*
     x17 - 0.08*x53*x17 + 0.16*x54*x17 - 0.24*x55*x17 - 0.06*x56*x17 - 0.12*x57
     *x17 - 0.1*x58*x17 - 0.08*x59*x17 + 0.02*x60*x17 + 0.04*x61*x17 + 0.02*
     sqr(x18) + 0.02*x19*x18 - 0.28*x21*x18 + 0.22*x22*x18 + 0.04*x25*x18 + 
     0.02*x26*x18 - 0.22*x27*x18 - 0.12*x28*x18 + 0.24*x29*x18 + 0.16*x30*x18
      - 0.08*x31*x18 - 0.1*x32*x18 + 0.12*x33*x18 - 0.18*x34*x18 - 0.02*x35*x18
      + 0.12*x36*x18 - 0.14*x37*x18 + 0.16*x38*x18 - 0.22*x39*x18 - 0.04*x41*
     x18 + 0.1*x42*x18 - 0.02*x43*x18 + 0.02*x44*x18 + 0.04*x45*x18 + 0.16*x46*
     x18 + 0.04*x47*x18 + 0.14*x48*x18 + 0.06*x49*x18 + 0.3*x50*x18 - 0.02*x51*
     x18 - 0.08*x52*x18 + 0.24*x53*x18 + 0.08*x54*x18 - 0.06*x55*x18 + 0.04*x56
     *x18 + 0.1*x57*x18 + 0.14*x58*x18 - 0.12*x59*x18 + 0.24*x60*x18 - 0.1*x61*
     x18 - 0.08*sqr(x19) + 0.08*x20*x19 - 0.18*x21*x19 - 0.2*x22*x19 + 0.1*x23*
     x19 - 0.08*x24*x19 + 0.18*x25*x19 + 0.06*x27*x19 + 0.3*x28*x19 + 0.04*x29*
     x19 + 0.04*x30*x19 - 0.04*x31*x19 + 0.24*x32*x19 - 0.26*x33*x19 - 0.02*x34
     *x19 + 0.1*x35*x19 + 0.18*x36*x19 - 0.16*x37*x19 - 0.26*x38*x19 + 0.02*x39
     *x19 - 0.28*x40*x19 + 0.12*x41*x19 - 0.2*x42*x19 + 0.1*x43*x19 + 0.02*x44*
     x19 - 0.06*x45*x19 - 0.16*x46*x19 - 0.06*x47*x19 + 0.04*x48*x19 + 0.02*x49
     *x19 + 0.12*x50*x19 - 0.24*x51*x19 - 0.04*x52*x19 + 0.12*x53*x19 + 0.22*
     x54*x19 + 0.2*x55*x19 + 0.14*x56*x19 + 0.16*x57*x19 - 0.06*x58*x19 - 0.12*
     x60*x19 - 0.16*x61*x19 - 0.07*sqr(x20) - 0.32*x21*x20 - 0.32*x23*x20 + 
     0.42*x24*x20 + 0.16*x25*x20 + 0.16*x26*x20 + 0.24*x27*x20 - 0.26*x28*x20
      + 0.16*x29*x20 - 0.18*x30*x20 + 0.12*x31*x20 + 0.16*x32*x20 - 0.36*x33*
     x20 + 0.08*x34*x20 - 0.06*x35*x20 + 0.1*x37*x20 - 0.16*x38*x20 - 0.14*x39*
     x20 - 0.12*x40*x20 + 0.02*x41*x20 + 0.1*x42*x20 + 0.04*x43*x20 - 0.18*x44*
     x20 + 0.06*x45*x20 - 0.16*x46*x20 + 0.12*x47*x20 - 0.02*x48*x20 + 0.2*x49*
     x20 - 0.14*x50*x20 + 0.06*x51*x20 + 0.04*x52*x20 + 0.08*x53*x20 - 0.1*x54*
     x20 - 0.02*x56*x20 - 0.22*x57*x20 - 0.12*x58*x20 + 0.3*x59*x20 - 0.02*x60*
     x20 + 0.06*x61*x20 - 0.01*sqr(x21) - 0.1*x22*x21 - 0.3*x23*x21 + 0.2*x24*
     x21 + 0.16*x25*x21 + 0.14*x26*x21 - 0.18*x27*x21 - 0.12*x28*x21 + 0.02*x29
     *x21 + 0.18*x31*x21 - 0.06*x32*x21 + 0.2*x33*x21 + 0.44*x34*x21 + 0.04*x35
     *x21 + 0.16*x36*x21 + 0.18*x37*x21 + 0.02*x38*x21 + 0.06*x39*x21 - 0.04*
     x40*x21 + 0.16*x41*x21 + 0.22*x42*x21 + 0.2*x43*x21 - 0.14*x44*x21 + 0.14*
     x45*x21 - 0.3*x46*x21 + 0.14*x47*x21 + 0.04*x48*x21 - 0.1*x49*x21 + 0.16*
     x50*x21 - 0.28*x51*x21 - 0.08*x52*x21 + 0.06*x54*x21 - 0.06*x55*x21 + 0.1*
     x56*x21 + 0.12*x57*x21 - 0.16*x58*x21 + 0.18*x59*x21 + 0.08*x60*x21 + 0.1*
     x61*x21 - 0.04*sqr(x22) - 0.04*x23*x22 - 0.26*x24*x22 - 0.16*x25*x22 + 
     0.04*x26*x22 + 0.06*x27*x22 - 0.12*x29*x22 + 0.02*x30*x22 - 0.1*x31*x22 + 
     0.04*x32*x22 - 0.06*x33*x22 - 0.18*x34*x22 - 0.04*x35*x22 - 0.02*x36*x22
      - 0.08*x37*x22 + 0.02*x38*x22 - 0.06*x39*x22 + 0.16*x40*x22 + 0.34*x41*
     x22 - 0.02*x42*x22 + 0.04*x43*x22 - 0.1*x44*x22 + 0.04*x45*x22 - 0.02*x46*
     x22 - 0.02*x47*x22 - 0.02*x48*x22 + 0.04*x49*x22 - 0.08*x50*x22 + 0.18*x51
     *x22 + 0.08*x52*x22 + 0.1*x53*x22 - 0.12*x54*x22 + 0.2*x55*x22 + 0.16*x56*
     x22 - 0.04*x57*x22 + 0.28*x58*x22 + 0.14*x59*x22 - 0.34*x60*x22 - 0.06*x61
     *x22 - 0.09*sqr(x23) + 0.18*x24*x23 + 0.2*x25*x23 + 0.12*x26*x23 - 0.12*
     x27*x23 - 0.14*x28*x23 - 0.12*x29*x23 + 0.2*x30*x23 + 0.16*x31*x23 + 0.12*
     x32*x23 + 0.06*x33*x23 - 0.02*x34*x23 - 0.1*x35*x23 - 0.14*x36*x23 + 0.2*
     x37*x23 + 0.12*x38*x23 + 0.26*x39*x23 - 0.12*x40*x23 - 0.18*x41*x23 + 0.08
     *x43*x23 + 0.44*x44*x23 + 0.1*x45*x23 + 0.14*x46*x23 - 0.28*x47*x23 + 0.12
     *x48*x23 - 0.18*x49*x23 - 0.2*x50*x23 + 0.16*x51*x23 - 0.24*x52*x23 - 0.04
     *x53*x23 - 0.02*x54*x23 + 0.24*x56*x23 + 0.24*x57*x23 - 0.02*x58*x23 - 
     0.14*x59*x23 + 0.3*x60*x23 - 0.1*x61*x23 + 0.02*sqr(x24) + 0.06*x25*x24 - 
     0.06*x26*x24 + 0.06*x27*x24 - 0.02*x28*x24 - 0.22*x29*x24 + 0.04*x30*x24
      + 0.18*x31*x24 + 0.18*x32*x24 - 0.16*x33*x24 + 0.14*x34*x24 - 0.02*x35*
     x24 - 0.26*x36*x24 + 0.12*x37*x24 - 0.3*x38*x24 + 0.28*x39*x24 - 0.16*x40*
     x24 - 0.08*x41*x24 - 0.34*x42*x24 + 0.22*x43*x24 + 0.24*x44*x24 - 0.18*x46
     *x24 - 0.1*x47*x24 + 0.14*x48*x24 - 0.22*x49*x24 - 0.24*x50*x24 + 0.26*x51
     *x24 - 0.1*x52*x24 - 0.22*x53*x24 - 0.04*x54*x24 + 0.14*x55*x24 + 0.1*x57*
     x24 + 0.14*x59*x24 - 0.22*x60*x24 + 0.1*x61*x24 + 0.17*sqr(x25) - 0.08*x26
     *x25 + 0.06*x27*x25 - 0.2*x28*x25 + 0.4*x29*x25 - 0.24*x30*x25 + 0.16*x31*
     x25 + 0.16*x32*x25 + 0.3*x33*x25 - 0.32*x34*x25 - 0.04*x35*x25 - 0.1*x36*
     x25 + 0.26*x37*x25 + 0.08*x38*x25 - 0.06*x39*x25 - 0.24*x40*x25 + 0.02*x41
     *x25 + 0.02*x42*x25 + 0.04*x43*x25 - 0.14*x44*x25 + 0.04*x45*x25 - 0.06*
     x46*x25 - 0.14*x47*x25 + 0.04*x48*x25 - 0.1*x49*x25 - 0.16*x52*x25 - 0.02*
     x53*x25 + 0.02*x54*x25 - 0.16*x55*x25 + 0.04*x56*x25 - 0.22*x57*x25 - 0.02
     *x58*x25 + 0.14*x59*x25 - 0.06*x60*x25 + 0.16*sqr(x26) - 0.2*x27*x26 - 
     0.34*x28*x26 + 0.04*x31*x26 - 0.06*x32*x26 + 0.02*x33*x26 - 0.28*x35*x26
      - 0.16*x36*x26 + 0.1*x37*x26 - 0.18*x38*x26 - 0.22*x39*x26 + 0.06*x40*x26
      + 0.06*x41*x26 + 0.04*x42*x26 - 0.12*x43*x26 - 0.1*x44*x26 + 0.28*x45*x26
      + 0.1*x46*x26 - 0.04*x47*x26 + 0.12*x48*x26 - 0.04*x49*x26 - 0.4*x50*x26
      + 0.18*x51*x26 + 0.24*x52*x26 - 0.02*x53*x26 + 0.14*x54*x26 + 0.2*x55*x26
      + 0.06*x56*x26 + 0.18*x57*x26 - 0.34*x58*x26 + 0.08*x59*x26 + 0.06*x60*
     x26 - 0.08*x61*x26 - 0.06*sqr(x27) + 0.14*x28*x27 - 0.06*x29*x27 - 0.12*
     x30*x27 + 0.04*x31*x27 + 0.04*x32*x27 + 0.02*x33*x27 + 0.02*x34*x27 - 0.1*
     x35*x27 + 0.12*x36*x27 - 0.04*x37*x27 + 0.08*x38*x27 - 0.02*x39*x27 + 0.2*
     x40*x27 - 0.02*x41*x27 - 0.14*x42*x27 - 0.14*x43*x27 - 0.06*x44*x27 + 0.22
     *x45*x27 - 0.1*x47*x27 + 0.36*x48*x27 + 0.24*x49*x27 + 0.1*x50*x27 + 0.2*
     x53*x27 - 0.14*x54*x27 + 0.22*x55*x27 + 0.18*x56*x27 - 0.1*x57*x27 + 0.08*
     x58*x27 + 0.08*x59*x27 + 0.06*x60*x27 - 0.08*x61*x27 + 0.14*x28*x28 + 0.2*
     x29*x28 + 0.04*x30*x28 + 0.14*x31*x28 - 0.18*x32*x28 - 0.16*x33*x28 + 0.24
     *x34*x28 + 0.06*x35*x28 - 0.12*x36*x28 - 0.12*x37*x28 - 0.1*x38*x28 + 0.24
     *x39*x28 + 0.12*x40*x28 + 0.02*x41*x28 + 0.18*x42*x28 + 0.28*x43*x28 + 
     0.28*x44*x28 + 0.3*x45*x28 + 0.24*x46*x28 + 0.12*x47*x28 + 0.02*x48*x28 + 
     0.1*x49*x28 - 0.14*x50*x28 + 0.1*x51*x28 - 0.24*x52*x28 - 0.1*x54*x28 + 
     0.16*x55*x28 - 0.12*x56*x28 - 0.16*x57*x28 + 0.14*x58*x28 - 0.18*x59*x28
      + 0.08*x60*x28 + 0.16*sqr(x29) + 0.02*x30*x29 + 0.24*x31*x29 - 0.14*x32*
     x29 - 0.24*x33*x29 - 0.14*x34*x29 - 0.04*x35*x29 + 0.1*x36*x29 + 0.12*x37*
     x29 - 0.26*x38*x29 + 0.06*x39*x29 - 0.04*x40*x29 + 0.12*x41*x29 - 0.08*x42
     *x29 - 0.2*x44*x29 + 0.12*x45*x29 - 0.18*x46*x29 - 0.16*x47*x29 - 0.22*x48
     *x29 + 0.04*x49*x29 + 0.22*x50*x29 + 0.02*x51*x29 + 0.06*x52*x29 - 0.02*
     x53*x29 - 0.36*x54*x29 - 0.16*x55*x29 + 0.1*x56*x29 + 0.12*x57*x29 - 0.06*
     x58*x29 - 0.02*x59*x29 + 0.1*x60*x29 + 0.14*x61*x29 + 0.14*sqr(x30) + 0.06
     *x31*x30 + 0.24*x32*x30 - 0.1*x33*x30 + 0.18*x34*x30 + 0.2*x35*x30 - 0.06*
     x36*x30 - 0.1*x37*x30 - 0.04*x40*x30 + 0.08*x41*x30 + 0.16*x42*x30 - 0.04*
     x43*x30 - 0.22*x44*x30 - 0.1*x45*x30 + 0.06*x46*x30 - 0.38*x47*x30 + 0.08*
     x49*x30 + 0.24*x50*x30 - 0.08*x51*x30 - 0.02*x52*x30 - 0.26*x54*x30 - 0.04
     *x55*x30 - 0.16*x56*x30 + 0.14*x57*x30 + 0.02*x58*x30 + 0.06*x59*x30 - 
     0.04*x60*x30 + 0.2*x61*x30 - 0.11*sqr(x31) - 0.16*x32*x31 + 0.14*x34*x31
      - 0.12*x35*x31 + 0.18*x36*x31 - 0.08*x37*x31 - 0.12*x39*x31 - 0.08*x40*
     x31 - 0.16*x41*x31 - 0.06*x42*x31 - 0.02*x43*x31 + 0.12*x44*x31 - 0.18*x45
     *x31 - 0.02*x46*x31 - 0.02*x47*x31 + 0.16*x48*x31 + 0.04*x49*x31 - 0.14*
     x50*x31 + 0.08*x51*x31 + 0.02*x52*x31 + 0.04*x53*x31 + 0.08*x54*x31 + 0.02
     *x55*x31 - 0.14*x56*x31 + 0.2*x57*x31 + 0.16*x58*x31 + 0.12*x60*x31 + 0.02
     *x61*x31 + 0.16*x33*x32 + 0.2*x34*x32 + 0.34*x35*x32 + 0.14*x36*x32 + 0.12
     *x37*x32 + 0.02*x38*x32 - 0.14*x39*x32 + 0.06*x40*x32 + 0.08*x41*x32 + 0.1
     *x42*x32 - 0.18*x43*x32 - 0.2*x44*x32 - 0.22*x45*x32 - 0.08*x47*x32 + 0.14
     *x48*x32 + 0.2*x49*x32 + 0.04*x50*x32 - 0.14*x51*x32 - 0.02*x52*x32 + 0.14
     *x53*x32 - 0.24*x54*x32 - 0.1*x55*x32 + 0.24*x56*x32 - 0.06*x57*x32 + 0.2*
     x58*x32 + 0.06*x59*x32 - 0.2*x60*x32 - 0.12*x61*x32 + 0.07*sqr(x33) - 0.14
     *x34*x33 + 0.2*x35*x33 + 0.1*x36*x33 - 0.02*x37*x33 + 0.06*x38*x33 - 0.04*
     x39*x33 + 0.26*x40*x33 - 0.04*x41*x33 - 0.04*x42*x33 - 0.12*x43*x33 + 0.02
     *x44*x33 - 0.04*x45*x33 + 0.08*x46*x33 - 0.14*x47*x33 + 0.22*x48*x33 - 0.1
     *x49*x33 - 0.04*x50*x33 + 0.18*x51*x33 + 0.06*x52*x33 - 0.14*x53*x33 - 
     0.16*x54*x33 + 0.06*x55*x33 + 0.1*x56*x33 - 0.26*x57*x33 - 0.1*x58*x33 - 
     0.02*x59*x33 - 0.06*x60*x33 + 0.08*x61*x33 - 0.08*sqr(x34) + 0.06*x35*x34
      + 0.14*x36*x34 - 0.04*x37*x34 - 0.06*x38*x34 + 0.04*x40*x34 - 0.1*x41*x34
      + 0.02*x42*x34 + 0.06*x43*x34 + 0.12*x44*x34 + 0.06*x45*x34 + 0.04*x46*
     x34 - 0.08*x47*x34 - 0.02*x48*x34 + 0.06*x49*x34 + 0.12*x50*x34 - 0.16*x51
     *x34 - 0.18*x52*x34 + 0.32*x53*x34 - 0.16*x55*x34 + 0.22*x56*x34 + 0.34*
     x57*x34 - 0.12*x58*x34 + 0.12*x59*x34 - 0.18*x60*x34 + 0.34*x61*x34 - 0.13
     *sqr(x35) + 0.06*x36*x35 + 0.14*x37*x35 - 0.06*x38*x35 + 0.1*x39*x35 + 
     0.02*x40*x35 + 0.04*x41*x35 + 0.12*x42*x35 + 0.14*x43*x35 + 0.1*x44*x35 - 
     0.1*x45*x35 - 0.28*x46*x35 + 0.08*x47*x35 - 0.26*x48*x35 + 0.3*x49*x35 - 
     0.04*x50*x35 + 0.32*x51*x35 + 0.06*x52*x35 - 0.22*x53*x35 + 0.18*x54*x35
      + 0.18*x55*x35 - 0.18*x56*x35 - 0.08*x58*x35 + 0.26*x59*x35 - 0.12*x60*
     x35 - 0.06*x61*x35 - 0.12*sqr(x36) - 0.04*x37*x36 + 0.02*x39*x36 + 0.06*
     x40*x36 + 0.02*x41*x36 + 0.08*x42*x36 + 0.16*x43*x36 - 0.06*x44*x36 - 0.22
     *x45*x36 + 0.16*x46*x36 - 0.04*x47*x36 - 0.24*x48*x36 + 0.16*x49*x36 + 
     0.34*x50*x36 + 0.36*x52*x36 + 0.32*x54*x36 - 0.16*x55*x36 + 0.1*x56*x36 + 
     0.3*x57*x36 - 0.12*x58*x36 + 0.08*x59*x36 + 0.18*x60*x36 + 0.02*x61*x36 - 
     0.08*sqr(x37) + 0.02*x38*x37 + 0.14*x39*x37 + 0.02*x40*x37 - 0.12*x41*x37
      - 0.2*x42*x37 - 0.12*x43*x37 + 0.16*x44*x37 - 0.12*x46*x37 + 0.14*x47*x37
      + 0.04*x48*x37 - 0.1*x49*x37 - 0.02*x50*x37 + 0.28*x51*x37 + 0.28*x52*x37
      + 0.04*x53*x37 - 0.34*x54*x37 - 0.24*x55*x37 + 0.3*x56*x37 - 0.18*x57*x37
      - 0.04*x58*x37 - 0.26*x59*x37 + 0.06*x60*x37 - 0.23*sqr(x38) + 0.08*x39*
     x38 + 0.18*x40*x38 + 0.1*x41*x38 + 0.06*x42*x38 - 0.12*x43*x38 - 0.24*x44*
     x38 - 0.12*x45*x38 + 0.34*x46*x38 - 0.18*x47*x38 + 0.04*x48*x38 - 0.16*x49
     *x38 - 0.02*x50*x38 - 0.04*x52*x38 + 0.06*x53*x38 + 0.1*x54*x38 + 0.14*x55
     *x38 + 0.2*x56*x38 + 0.26*x58*x38 + 0.16*x59*x38 - 0.18*x60*x38 + 0.08*x61
     *x38 + 0.23*sqr(x39) - 0.1*x40*x39 + 0.2*x41*x39 + 0.02*x42*x39 + 0.26*x43
     *x39 - 0.02*x44*x39 - 0.24*x45*x39 + 0.02*x46*x39 + 0.12*x47*x39 - 0.02*
     x48*x39 - 0.06*x49*x39 + 0.2*x50*x39 - 0.2*x52*x39 + 0.2*x53*x39 + 0.14*
     x54*x39 - 0.1*x55*x39 - 0.34*x56*x39 - 0.14*x57*x39 - 0.02*x58*x39 - 0.16*
     x59*x39 + 0.02*x60*x39 + 0.04*x61*x39 - 0.11*sqr(x40) - 0.14*x41*x40 - 
     0.08*x42*x40 - 0.04*x43*x40 - 0.02*x44*x40 + 0.02*x46*x40 + 0.12*x47*x40
      + 0.22*x48*x40 + 0.14*x49*x40 + 0.08*x50*x40 + 0.16*x51*x40 + 0.04*x52*
     x40 - 0.1*x53*x40 + 0.18*x54*x40 - 0.12*x55*x40 - 0.02*x56*x40 + 0.16*x57*
     x40 - 0.16*x58*x40 - 0.16*x59*x40 + 0.08*x60*x40 + 0.22*x61*x40 + 0.18*
     sqr(x41) + 0.06*x42*x41 + 0.2*x43*x41 - 0.14*x44*x41 - 0.16*x45*x41 + 0.1*
     x46*x41 + 0.06*x47*x41 + 0.08*x48*x41 + 0.12*x49*x41 - 0.06*x50*x41 + 0.18
     *x51*x41 - 0.02*x52*x41 - 0.02*x53*x41 + 0.02*x54*x41 - 0.1*x55*x41 + 0.04
     *x56*x41 - 0.04*x57*x41 - 0.32*x58*x41 + 0.32*x59*x41 - 0.24*x60*x41 - 
     0.24*x61*x41 + 0.06*sqr(x42) - 0.02*x43*x42 - 0.06*x44*x42 + 0.16*x45*x42
      - 0.1*x46*x42 - 0.36*x48*x42 - 0.1*x49*x42 + 0.16*x50*x42 + 0.08*x51*x42
      + 0.06*x52*x42 - 0.02*x53*x42 + 0.06*x54*x42 - 0.02*x55*x42 + 0.14*x56*
     x42 - 0.02*x57*x42 + 0.12*x58*x42 + 0.06*x59*x42 + 0.18*x60*x42 - 0.14*x61
     *x42 - 0.08*sqr(x43) - 0.12*x44*x43 - 0.02*x45*x43 - 0.32*x46*x43 - 0.02*
     x47*x43 - 0.26*x48*x43 + 0.1*x50*x43 + 0.02*x51*x43 + 0.2*x52*x43 + 0.02*
     x53*x43 + 0.06*x54*x43 + 0.12*x55*x43 + 0.36*x56*x43 - 0.36*x57*x43 + 0.06
     *x58*x43 + 0.2*x59*x43 - 0.16*x60*x43 - 0.24*x61*x43 + 0.24*sqr(x44) - 
     0.06*x45*x44 + 0.08*x46*x44 + 0.04*x47*x44 - 0.2*x48*x44 + 0.26*x49*x44 - 
     0.02*x50*x44 - 0.12*x51*x44 + 0.2*x52*x44 + 0.02*x53*x44 - 0.12*x54*x44 + 
     0.02*x55*x44 - 0.06*x56*x44 + 0.08*x57*x44 + 0.04*x58*x44 + 0.08*x59*x44
      - 0.02*x60*x44 - 0.06*x61*x44 + 0.14*sqr(x45) - 0.04*x46*x45 - 0.08*x47*
     x45 - 0.08*x48*x45 + 0.14*x49*x45 + 0.36*x50*x45 - 0.02*x51*x45 - 0.06*x52
     *x45 - 0.04*x53*x45 + 0.22*x54*x45 + 0.08*x55*x45 + 0.08*x56*x45 - 0.06*
     x57*x45 + 0.02*x58*x45 - 0.02*x59*x45 - 0.18*x60*x45 - 0.04*x61*x45 + 0.06
     *sqr(x46) - 0.1*x47*x46 - 0.2*x48*x46 + 0.16*x49*x46 + 0.02*x50*x46 - 0.42
     *x51*x46 - 0.16*x52*x46 - 0.08*x54*x46 + 0.12*x55*x46 + 0.02*x56*x46 - 
     0.08*x57*x46 + 0.3*x58*x46 + 0.22*x59*x46 + 0.2*x60*x46 - 0.24*x61*x46 + 
     0.03*sqr(x47) + 0.14*x48*x47 - 0.14*x49*x47 + 0.12*x50*x47 + 0.16*x51*x47
      + 0.08*x52*x47 + 0.08*x53*x47 + 0.02*x54*x47 + 0.14*x55*x47 + 0.04*x56*
     x47 + 0.16*x57*x47 - 0.02*x58*x47 - 0.06*x59*x47 - 0.02*x60*x47 - 0.1*x61*
     x47 + 0.06*sqr(x48) - 0.1*x49*x48 + 0.12*x50*x48 - 0.12*x51*x48 - 0.08*x52
     *x48 + 0.22*x53*x48 + 0.04*x54*x48 + 0.06*x55*x48 + 0.06*x56*x48 + 0.04*
     x57*x48 + 0.12*x58*x48 - 0.04*x59*x48 + 0.08*x60*x48 - 0.14*x61*x48 - 0.08
     *sqr(x49) + 0.14*x50*x49 + 0.04*x51*x49 + 0.02*x52*x49 - 0.2*x53*x49 - 
     0.16*x54*x49 - 0.1*x55*x49 - 0.04*x56*x49 - 0.04*x58*x49 + 0.2*x60*x49 - 
     0.08*x61*x49 - 0.05*sqr(x50) + 0.04*x51*x50 - 0.28*x52*x50 + 0.1*x53*x50
      + 0.1*x54*x50 - 0.12*x55*x50 - 0.06*x56*x50 - 0.02*x57*x50 - 0.12*x58*x50
      - 0.26*x59*x50 - 0.04*x60*x50 + 0.18*x61*x50 + 0.12*sqr(x51) + 0.06*x52*
     x51 - 0.12*x53*x51 - 0.08*x54*x51 + 0.12*x55*x51 - 0.2*x56*x51 + 0.04*x57*
     x51 + 0.04*x58*x51 - 0.28*x59*x51 - 0.06*x60*x51 + 0.22*x61*x51 + 0.12*
     sqr(x52) + 0.16*x53*x52 + 0.22*x54*x52 - 0.06*x55*x52 - 0.04*x56*x52 + 
     0.14*x57*x52 + 0.22*x58*x52 + 0.04*x60*x52 - 0.08*x61*x52 + 0.19*sqr(x53)
      - 0.24*x54*x53 - 0.16*x56*x53 + 0.26*x57*x53 - 0.28*x58*x53 - 0.24*x59*
     x53 - 0.02*x60*x53 + 0.02*x61*x53 + 0.14*sqr(x54) + 0.14*x55*x54 - 0.04*
     x57*x54 + 0.08*x58*x54 - 0.24*x59*x54 + 0.2*x60*x54 - 0.2*x61*x54 + 0.01*
     sqr(x55) + 0.1*x56*x55 + 0.12*x57*x55 + 0.1*x58*x55 + 0.2*x59*x55 - 0.06*
     x60*x55 + 0.14*x61*x55 + 0.16*x56*x56 - 0.02*x57*x56 + 0.1*x58*x56 - 0.16*
     x60*x56 + 0.16*x61*x56 - 0.02*x57*x57 - 0.18*x58*x57 - 0.14*x59*x57 - 0.04
     *x60*x57 + 0.24*x61*x57 - 0.02*x58*x58 + 0.22*x59*x58 - 0.02*x60*x58 - 
     0.18*x61*x58 - 0.13*sqr(x59) + 0.04*x60*x59 - 0.1*x61*x59 - 0.01*sqr(x60)
      + 0.18*x61*x60 + 0.07*sqr(x61) =L= 6.32;

* set non-default bounds
x2.up = 1;
x3.up = 1;
x4.up = 1;
x5.up = 1;
x6.up = 1;
x7.up = 1;
x8.up = 1;
x9.up = 1;
x10.up = 1;
x11.up = 1;
x12.up = 1;
x13.up = 1;
x14.up = 1;
x15.up = 1;
x16.up = 1;
x17.up = 1;
x18.up = 1;
x19.up = 1;
x20.up = 1;
x21.up = 1;
x22.up = 1;
x23.up = 1;
x24.up = 1;
x25.up = 1;
x26.up = 1;
x27.up = 1;
x28.up = 1;
x29.up = 1;
x30.up = 1;
x31.up = 1;
x32.up = 1;
x33.up = 1;
x34.up = 1;
x35.up = 1;
x36.up = 1;
x37.up = 1;
x38.up = 1;
x39.up = 1;
x40.up = 1;
x41.up = 1;
x42.up = 1;
x43.up = 1;
x44.up = 1;
x45.up = 1;
x46.up = 1;
x47.up = 1;
x48.up = 1;
x49.up = 1;
x50.up = 1;
x51.up = 1;
x52.up = 1;
x53.up = 1;
x54.up = 1;
x55.up = 1;
x56.up = 1;
x57.up = 1;
x58.up = 1;
x59.up = 1;
x60.up = 1;
x61.up = 1;

Model m / all /;

m.limrow=0; m.limcol=0;

$if NOT '%gams.u1%' == '' $include '%gams.u1%'

m.tolproj = 0.0;
$if not set QCP $set QCP QCP
Solve m using %QCP% minimizing objvar;





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