QPLIB

A Library of Quadratic Programming Instances

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QPLIB_9048

Formats gms lp mod qplib
Problem type probtype QIL
Solution point objective value solobjvalue -1.16568200 (gdx, sol)
Solution point infeasibility solinfeasibility 0.0000e+00
Donor donor HansMittelmann
#Variables nvars 202
#Binary Variables nbinvars 0
#Integer Variables nintvars 202
#Bounded non-binary Variables nboundedvars 202
#Variables with only one bound nsingleboundedvars 0
#Nonlinear Variables nnlvars 202
#Nonlinear Binary Variables nnlbinvars 0
#Nonlinear Integer Variables nnlintvars 202
Objective Sense objsense min
Objective type objtype quadratic
Objective curvature objcurvature indefinite
#Negative eigenvalues in objective matrix nobjquadnegev 60
#Positive eigenvalues in objective matrix nobjquadposev 142
#Nonzeros in Objective nobjnz 202
#Nonlinear Nonzeros in Objective nobjnlnz 202
#Quadratic Terms in Objective nobjquadnz 3822
#Square Terms in Objective nobjquaddiagnz 202
#Constraints ncons 1
#Linear Constraints nlincons 1
#Quadratic Constraints nquadcons 0
#Diagonal Quadratic Constraints ndiagquadcons 0
Constraints curvature conscurvature linear
#Convex Nonlinear Constraints nconvexnlcons 0
#Concave Nonlinear Constraints nconcavenlcons 0
#Indefinite Nonlinear Constraints nindefinitenlcons 0
#Nonzeros in Jacobian njacobiannz 202
#Nonlinear Nonzeros in Jacobian njacobiannlnz 0
#Nonzeros in (Upper-Left) Hessian of Lagrangian nlaghessiannz 7442
#Nonzeros in Diagonal of Hessian of Lagrangian nlaghessiandiagnz 202
#Blocks in Hessian of Lagrangian nlaghessianblocks 2
Minimal blocksize in Hessian of Lagrangian laghessianminblocksize 101
Maximal blocksize in Hessian of Lagrangian laghessianmaxblocksize 101
Average blocksize in Hessian of Lagrangian laghessianavgblocksize 101.0
Sparsity Jacobian
Sparsity Lag. Hessian

QPLIB_9048.gms

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*          2        2        0        0        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        203        1        0      202        0        0        0        0
*  FX      0        0        0        0        0        0        0        0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*        405      203      202        0
*
*  Solve m using MIQCP minimizing objvar;


Variables  objvar,i2,i3,i4,i5,i6,i7,i8,i9,i10,i11,i12,i13,i14,i15,i16,i17,i18
          ,i19,i20,i21,i22,i23,i24,i25,i26,i27,i28,i29,i30,i31,i32,i33,i34,i35
          ,i36,i37,i38,i39,i40,i41,i42,i43,i44,i45,i46,i47,i48,i49,i50,i51,i52
          ,i53,i54,i55,i56,i57,i58,i59,i60,i61,i62,i63,i64,i65,i66,i67,i68,i69
          ,i70,i71,i72,i73,i74,i75,i76,i77,i78,i79,i80,i81,i82,i83,i84,i85,i86
          ,i87,i88,i89,i90,i91,i92,i93,i94,i95,i96,i97,i98,i99,i100,i101,i102
          ,i103,i104,i105,i106,i107,i108,i109,i110,i111,i112,i113,i114,i115
          ,i116,i117,i118,i119,i120,i121,i122,i123,i124,i125,i126,i127,i128
          ,i129,i130,i131,i132,i133,i134,i135,i136,i137,i138,i139,i140,i141
          ,i142,i143,i144,i145,i146,i147,i148,i149,i150,i151,i152,i153,i154
          ,i155,i156,i157,i158,i159,i160,i161,i162,i163,i164,i165,i166,i167
          ,i168,i169,i170,i171,i172,i173,i174,i175,i176,i177,i178,i179,i180
          ,i181,i182,i183,i184,i185,i186,i187,i188,i189,i190,i191,i192,i193
          ,i194,i195,i196,i197,i198,i199,i200,i201,i202,i203;

Integer Variables  i2,i3,i4,i5,i6,i7,i8,i9,i10,i11,i12,i13,i14,i15,i16,i17,i18
          ,i19,i20,i21,i22,i23,i24,i25,i26,i27,i28,i29,i30,i31,i32,i33,i34,i35
          ,i36,i37,i38,i39,i40,i41,i42,i43,i44,i45,i46,i47,i48,i49,i50,i51,i52
          ,i53,i54,i55,i56,i57,i58,i59,i60,i61,i62,i63,i64,i65,i66,i67,i68,i69
          ,i70,i71,i72,i73,i74,i75,i76,i77,i78,i79,i80,i81,i82,i83,i84,i85,i86
          ,i87,i88,i89,i90,i91,i92,i93,i94,i95,i96,i97,i98,i99,i100,i101,i102
          ,i103,i104,i105,i106,i107,i108,i109,i110,i111,i112,i113,i114,i115
          ,i116,i117,i118,i119,i120,i121,i122,i123,i124,i125,i126,i127,i128
          ,i129,i130,i131,i132,i133,i134,i135,i136,i137,i138,i139,i140,i141
          ,i142,i143,i144,i145,i146,i147,i148,i149,i150,i151,i152,i153,i154
          ,i155,i156,i157,i158,i159,i160,i161,i162,i163,i164,i165,i166,i167
          ,i168,i169,i170,i171,i172,i173,i174,i175,i176,i177,i178,i179,i180
          ,i181,i182,i183,i184,i185,i186,i187,i188,i189,i190,i191,i192,i193
          ,i194,i195,i196,i197,i198,i199,i200,i201,i202,i203;

Equations  e1,e2;


e1.. 0.5*sqr(i2) + 0.074402*i2 + 0.973686*i2*i3 + 0.057396*i3 + 0.898825*i2*i4
      + 0.038159*i4 + 0.786628*i2*i5 + 0.017364*i5 + 0.652681*i2*i6 - 0.004227*
     i6 + 0.513417*i2*i7 - 0.025791*i7 + 0.382893*i2*i8 - 0.046468*i8 + 
     0.270721*i2*i9 - 0.065395*i9 + 0.18147*i2*i10 - 0.081738*i10 + 0.115325*i2
     *i11 - 0.094723*i11 + 0.069483*i2*i12 - 0.10367*i12 + 0.03969*i2*i13 - 
     0.108018*i13 + 0.021494*i2*i14 - 0.107358*i14 + 0.011035*i2*i15 - 0.101447
     *i15 + 0.005371*i2*i16 - 0.090232*i16 + 0.002479*i2*i17 - 0.073855*i17 + 
     0.001084*i2*i18 - 0.052664*i18 + 0.00045*i2*i19 - 0.027203*i19 + 0.000177*
     i2*i20 + 0.001789*i20 + 6.6e-5*i2*i21 + 0.033402*i21 + 2.3e-5*i2*i22 + 
     0.066569*i22 + 0.5*sqr(i3) + 0.973686*i3*i4 + 0.898825*i3*i5 + 0.786628*i3
     *i6 + 0.652681*i3*i7 + 0.513417*i3*i8 + 0.382893*i3*i9 + 0.270721*i3*i10
      + 0.18147*i3*i11 + 0.115325*i3*i12 + 0.069483*i3*i13 + 0.03969*i3*i14 + 
     0.021494*i3*i15 + 0.011035*i3*i16 + 0.005371*i3*i17 + 0.002479*i3*i18 + 
     0.001084*i3*i19 + 0.00045*i3*i20 + 0.000177*i3*i21 + 6.6e-5*i3*i22 + 
     2.3e-5*i3*i23 + 0.100104*i23 + 0.5*sqr(i4) + 0.973686*i4*i5 + 0.898825*i4*
     i6 + 0.786628*i4*i7 + 0.652681*i4*i8 + 0.513417*i4*i9 + 0.382893*i4*i10 + 
     0.270721*i4*i11 + 0.18147*i4*i12 + 0.115325*i4*i13 + 0.069483*i4*i14 + 
     0.03969*i4*i15 + 0.021494*i4*i16 + 0.011035*i4*i17 + 0.005371*i4*i18 + 
     0.002479*i4*i19 + 0.001084*i4*i20 + 0.00045*i4*i21 + 0.000177*i4*i22 + 
     6.6e-5*i4*i23 + 2.3e-5*i4*i24 + 0.132726*i24 + 0.5*sqr(i5) + 0.973686*i5*
     i6 + 0.898825*i5*i7 + 0.786628*i5*i8 + 0.652681*i5*i9 + 0.513417*i5*i10 + 
     0.382893*i5*i11 + 0.270721*i5*i12 + 0.18147*i5*i13 + 0.115325*i5*i14 + 
     0.069483*i5*i15 + 0.03969*i5*i16 + 0.021494*i5*i17 + 0.011035*i5*i18 + 
     0.005371*i5*i19 + 0.002479*i5*i20 + 0.001084*i5*i21 + 0.00045*i5*i22 + 
     0.000177*i5*i23 + 6.6e-5*i5*i24 + 2.3e-5*i5*i25 + 0.163105*i25 + 0.5*sqr(
     i6) + 0.973686*i6*i7 + 0.898825*i6*i8 + 0.786628*i6*i9 + 0.652681*i6*i10
      + 0.513417*i6*i11 + 0.382893*i6*i12 + 0.270721*i6*i13 + 0.18147*i6*i14 + 
     0.115325*i6*i15 + 0.069483*i6*i16 + 0.03969*i6*i17 + 0.021494*i6*i18 + 
     0.011035*i6*i19 + 0.005371*i6*i20 + 0.002479*i6*i21 + 0.001084*i6*i22 + 
     0.00045*i6*i23 + 0.000177*i6*i24 + 6.6e-5*i6*i25 + 2.3e-5*i6*i26 + 
     0.189895*i26 + 0.5*sqr(i7) + 0.973686*i7*i8 + 0.898825*i7*i9 + 0.786628*i7
     *i10 + 0.652681*i7*i11 + 0.513417*i7*i12 + 0.382893*i7*i13 + 0.270721*i7*
     i14 + 0.18147*i7*i15 + 0.115325*i7*i16 + 0.069483*i7*i17 + 0.03969*i7*i18
      + 0.021494*i7*i19 + 0.011035*i7*i20 + 0.005371*i7*i21 + 0.002479*i7*i22
      + 0.001084*i7*i23 + 0.00045*i7*i24 + 0.000177*i7*i25 + 6.6e-5*i7*i26 + 
     2.3e-5*i7*i27 + 0.211785*i27 + 0.5*sqr(i8) + 0.973686*i8*i9 + 0.898825*i8*
     i10 + 0.786628*i8*i11 + 0.652681*i8*i12 + 0.513417*i8*i13 + 0.382893*i8*
     i14 + 0.270721*i8*i15 + 0.18147*i8*i16 + 0.115325*i8*i17 + 0.069483*i8*i18
      + 0.03969*i8*i19 + 0.021494*i8*i20 + 0.011035*i8*i21 + 0.005371*i8*i22 + 
     0.002479*i8*i23 + 0.001084*i8*i24 + 0.00045*i8*i25 + 0.000177*i8*i26 + 
     6.6e-5*i8*i27 + 2.3e-5*i8*i28 + 0.227534*i28 + 0.5*sqr(i9) + 0.973686*i9*
     i10 + 0.898825*i9*i11 + 0.786628*i9*i12 + 0.652681*i9*i13 + 0.513417*i9*
     i14 + 0.382893*i9*i15 + 0.270721*i9*i16 + 0.18147*i9*i17 + 0.115325*i9*i18
      + 0.069483*i9*i19 + 0.03969*i9*i20 + 0.021494*i9*i21 + 0.011035*i9*i22 + 
     0.005371*i9*i23 + 0.002479*i9*i24 + 0.001084*i9*i25 + 0.00045*i9*i26 + 
     0.000177*i9*i27 + 6.6e-5*i9*i28 + 2.3e-5*i9*i29 + 0.23602*i29 + 0.5*i10*
     i10 + 0.973686*i10*i11 + 0.898825*i10*i12 + 0.786628*i10*i13 + 0.652681*
     i10*i14 + 0.513417*i10*i15 + 0.382893*i10*i16 + 0.270721*i10*i17 + 0.18147
     *i10*i18 + 0.115325*i10*i19 + 0.069483*i10*i20 + 0.03969*i10*i21 + 
     0.021494*i10*i22 + 0.011035*i10*i23 + 0.005371*i10*i24 + 0.002479*i10*i25
      + 0.001084*i10*i26 + 0.00045*i10*i27 + 0.000177*i10*i28 + 6.6e-5*i10*i29
      + 2.3e-5*i10*i30 + 0.236273*i30 + 0.5*sqr(i11) + 0.973686*i11*i12 + 
     0.898825*i11*i13 + 0.786628*i11*i14 + 0.652681*i11*i15 + 0.513417*i11*i16
      + 0.382893*i11*i17 + 0.270721*i11*i18 + 0.18147*i11*i19 + 0.115325*i11*
     i20 + 0.069483*i11*i21 + 0.03969*i11*i22 + 0.021494*i11*i23 + 0.011035*i11
     *i24 + 0.005371*i11*i25 + 0.002479*i11*i26 + 0.001084*i11*i27 + 0.00045*
     i11*i28 + 0.000177*i11*i29 + 6.6e-5*i11*i30 + 2.3e-5*i11*i31 + 0.227518*
     i31 + 0.5*sqr(i12) + 0.973686*i12*i13 + 0.898825*i12*i14 + 0.786628*i12*
     i15 + 0.652681*i12*i16 + 0.513417*i12*i17 + 0.382893*i12*i18 + 0.270721*
     i12*i19 + 0.18147*i12*i20 + 0.115325*i12*i21 + 0.069483*i12*i22 + 0.03969*
     i12*i23 + 0.021494*i12*i24 + 0.011035*i12*i25 + 0.005371*i12*i26 + 
     0.002479*i12*i27 + 0.001084*i12*i28 + 0.00045*i12*i29 + 0.000177*i12*i30
      + 6.6e-5*i12*i31 + 2.3e-5*i12*i32 + 0.209201*i32 + 0.5*sqr(i13) + 
     0.973686*i13*i14 + 0.898825*i13*i15 + 0.786628*i13*i16 + 0.652681*i13*i17
      + 0.513417*i13*i18 + 0.382893*i13*i19 + 0.270721*i13*i20 + 0.18147*i13*
     i21 + 0.115325*i13*i22 + 0.069483*i13*i23 + 0.03969*i13*i24 + 0.021494*i13
     *i25 + 0.011035*i13*i26 + 0.005371*i13*i27 + 0.002479*i13*i28 + 0.001084*
     i13*i29 + 0.00045*i13*i30 + 0.000177*i13*i31 + 6.6e-5*i13*i32 + 2.3e-5*i13
     *i33 + 0.181015*i33 + 0.5*sqr(i14) + 0.973686*i14*i15 + 0.898825*i14*i16
      + 0.786628*i14*i17 + 0.652681*i14*i18 + 0.513417*i14*i19 + 0.382893*i14*
     i20 + 0.270721*i14*i21 + 0.18147*i14*i22 + 0.115325*i14*i23 + 0.069483*i14
     *i24 + 0.03969*i14*i25 + 0.021494*i14*i26 + 0.011035*i14*i27 + 0.005371*
     i14*i28 + 0.002479*i14*i29 + 0.001084*i14*i30 + 0.00045*i14*i31 + 0.000177
     *i14*i32 + 6.6e-5*i14*i33 + 2.3e-5*i14*i34 + 0.142922*i34 + 0.5*sqr(i15)
      + 0.973686*i15*i16 + 0.898825*i15*i17 + 0.786628*i15*i18 + 0.652681*i15*
     i19 + 0.513417*i15*i20 + 0.382893*i15*i21 + 0.270721*i15*i22 + 0.18147*i15
     *i23 + 0.115325*i15*i24 + 0.069483*i15*i25 + 0.03969*i15*i26 + 0.021494*
     i15*i27 + 0.011035*i15*i28 + 0.005371*i15*i29 + 0.002479*i15*i30 + 
     0.001084*i15*i31 + 0.00045*i15*i32 + 0.000177*i15*i33 + 6.6e-5*i15*i34 + 
     2.3e-5*i15*i35 + 0.095159*i35 + 0.5*sqr(i16) + 0.973686*i16*i17 + 0.898825
     *i16*i18 + 0.786628*i16*i19 + 0.652681*i16*i20 + 0.513417*i16*i21 + 
     0.382893*i16*i22 + 0.270721*i16*i23 + 0.18147*i16*i24 + 0.115325*i16*i25
      + 0.069483*i16*i26 + 0.03969*i16*i27 + 0.021494*i16*i28 + 0.011035*i16*
     i29 + 0.005371*i16*i30 + 0.002479*i16*i31 + 0.001084*i16*i32 + 0.00045*i16
     *i33 + 0.000177*i16*i34 + 6.6e-5*i16*i35 + 2.3e-5*i16*i36 + 0.038242*i36
      + 0.5*sqr(i17) + 0.973686*i17*i18 + 0.898825*i17*i19 + 0.786628*i17*i20
      + 0.652681*i17*i21 + 0.513417*i17*i22 + 0.382893*i17*i23 + 0.270721*i17*
     i24 + 0.18147*i17*i25 + 0.115325*i17*i26 + 0.069483*i17*i27 + 0.03969*i17*
     i28 + 0.021494*i17*i29 + 0.011035*i17*i30 + 0.005371*i17*i31 + 0.002479*
     i17*i32 + 0.001084*i17*i33 + 0.00045*i17*i34 + 0.000177*i17*i35 + 6.6e-5*
     i17*i36 + 2.3e-5*i17*i37 - 0.02704*i37 + 0.5*sqr(i18) + 0.973686*i18*i19
      + 0.898825*i18*i20 + 0.786628*i18*i21 + 0.652681*i18*i22 + 0.513417*i18*
     i23 + 0.382893*i18*i24 + 0.270721*i18*i25 + 0.18147*i18*i26 + 0.115325*i18
     *i27 + 0.069483*i18*i28 + 0.03969*i18*i29 + 0.021494*i18*i30 + 0.011035*
     i18*i31 + 0.005371*i18*i32 + 0.002479*i18*i33 + 0.001084*i18*i34 + 0.00045
     *i18*i35 + 0.000177*i18*i36 + 6.6e-5*i18*i37 + 2.3e-5*i18*i38 - 0.099639*
     i38 + 0.5*sqr(i19) + 0.973686*i19*i20 + 0.898825*i19*i21 + 0.786628*i19*
     i22 + 0.652681*i19*i23 + 0.513417*i19*i24 + 0.382893*i19*i25 + 0.270721*
     i19*i26 + 0.18147*i19*i27 + 0.115325*i19*i28 + 0.069483*i19*i29 + 0.03969*
     i19*i30 + 0.021494*i19*i31 + 0.011035*i19*i32 + 0.005371*i19*i33 + 
     0.002479*i19*i34 + 0.001084*i19*i35 + 0.00045*i19*i36 + 0.000177*i19*i37
      + 6.6e-5*i19*i38 + 2.3e-5*i19*i39 - 0.17827*i39 + 0.5*sqr(i20) + 0.973686
     *i20*i21 + 0.898825*i20*i22 + 0.786628*i20*i23 + 0.652681*i20*i24 + 
     0.513417*i20*i25 + 0.382893*i20*i26 + 0.270721*i20*i27 + 0.18147*i20*i28
      + 0.115325*i20*i29 + 0.069483*i20*i30 + 0.03969*i20*i31 + 0.021494*i20*
     i32 + 0.011035*i20*i33 + 0.005371*i20*i34 + 0.002479*i20*i35 + 0.001084*
     i20*i36 + 0.00045*i20*i37 + 0.000177*i20*i38 + 6.6e-5*i20*i39 + 2.3e-5*i20
     *i40 - 0.261443*i40 + 0.5*sqr(i21) + 0.973686*i21*i22 + 0.898825*i21*i23
      + 0.786628*i21*i24 + 0.652681*i21*i25 + 0.513417*i21*i26 + 0.382893*i21*
     i27 + 0.270721*i21*i28 + 0.18147*i21*i29 + 0.115325*i21*i30 + 0.069483*i21
     *i31 + 0.03969*i21*i32 + 0.021494*i21*i33 + 0.011035*i21*i34 + 0.005371*
     i21*i35 + 0.002479*i21*i36 + 0.001084*i21*i37 + 0.00045*i21*i38 + 0.000177
     *i21*i39 + 6.6e-5*i21*i40 + 2.3e-5*i21*i41 - 0.347498*i41 + 0.5*sqr(i22)
      + 0.973686*i22*i23 + 0.898825*i22*i24 + 0.786628*i22*i25 + 0.652681*i22*
     i26 + 0.513417*i22*i27 + 0.382893*i22*i28 + 0.270721*i22*i29 + 0.18147*i22
     *i30 + 0.115325*i22*i31 + 0.069483*i22*i32 + 0.03969*i22*i33 + 0.021494*
     i22*i34 + 0.011035*i22*i35 + 0.005371*i22*i36 + 0.002479*i22*i37 + 
     0.001084*i22*i38 + 0.00045*i22*i39 + 0.000177*i22*i40 + 6.6e-5*i22*i41 + 
     2.3e-5*i22*i42 - 0.434649*i42 + 0.5*sqr(i23) + 0.973686*i23*i24 + 0.898825
     *i23*i25 + 0.786628*i23*i26 + 0.652681*i23*i27 + 0.513417*i23*i28 + 
     0.382893*i23*i29 + 0.270721*i23*i30 + 0.18147*i23*i31 + 0.115325*i23*i32
      + 0.069483*i23*i33 + 0.03969*i23*i34 + 0.021494*i23*i35 + 0.011035*i23*
     i36 + 0.005371*i23*i37 + 0.002479*i23*i38 + 0.001084*i23*i39 + 0.00045*i23
     *i40 + 0.000177*i23*i41 + 6.6e-5*i23*i42 + 2.3e-5*i23*i43 - 0.521026*i43
      + 0.5*sqr(i24) + 0.973686*i24*i25 + 0.898825*i24*i26 + 0.786628*i24*i27
      + 0.652681*i24*i28 + 0.513417*i24*i29 + 0.382893*i24*i30 + 0.270721*i24*
     i31 + 0.18147*i24*i32 + 0.115325*i24*i33 + 0.069483*i24*i34 + 0.03969*i24*
     i35 + 0.021494*i24*i36 + 0.011035*i24*i37 + 0.005371*i24*i38 + 0.002479*
     i24*i39 + 0.001084*i24*i40 + 0.00045*i24*i41 + 0.000177*i24*i42 + 6.6e-5*
     i24*i43 + 2.3e-5*i24*i44 - 0.604734*i44 + 0.5*sqr(i25) + 0.973686*i25*i26
      + 0.898825*i25*i27 + 0.786628*i25*i28 + 0.652681*i25*i29 + 0.513417*i25*
     i30 + 0.382893*i25*i31 + 0.270721*i25*i32 + 0.18147*i25*i33 + 0.115325*i25
     *i34 + 0.069483*i25*i35 + 0.03969*i25*i36 + 0.021494*i25*i37 + 0.011035*
     i25*i38 + 0.005371*i25*i39 + 0.002479*i25*i40 + 0.001084*i25*i41 + 0.00045
     *i25*i42 + 0.000177*i25*i43 + 6.6e-5*i25*i44 + 2.3e-5*i25*i45 - 0.683893*
     i45 + 0.5*sqr(i26) + 0.973686*i26*i27 + 0.898825*i26*i28 + 0.786628*i26*
     i29 + 0.652681*i26*i30 + 0.513417*i26*i31 + 0.382893*i26*i32 + 0.270721*
     i26*i33 + 0.18147*i26*i34 + 0.115325*i26*i35 + 0.069483*i26*i36 + 0.03969*
     i26*i37 + 0.021494*i26*i38 + 0.011035*i26*i39 + 0.005371*i26*i40 + 
     0.002479*i26*i41 + 0.001084*i26*i42 + 0.00045*i26*i43 + 0.000177*i26*i44
      + 6.6e-5*i26*i45 + 2.3e-5*i26*i46 - 0.756699*i46 + 0.5*sqr(i27) + 
     0.973686*i27*i28 + 0.898825*i27*i29 + 0.786628*i27*i30 + 0.652681*i27*i31
      + 0.513417*i27*i32 + 0.382893*i27*i33 + 0.270721*i27*i34 + 0.18147*i27*
     i35 + 0.115325*i27*i36 + 0.069483*i27*i37 + 0.03969*i27*i38 + 0.021494*i27
     *i39 + 0.011035*i27*i40 + 0.005371*i27*i41 + 0.002479*i27*i42 + 0.001084*
     i27*i43 + 0.00045*i27*i44 + 0.000177*i27*i45 + 6.6e-5*i27*i46 + 2.3e-5*i27
     *i47 - 0.821471*i47 + 0.5*sqr(i28) + 0.973686*i28*i29 + 0.898825*i28*i30
      + 0.786628*i28*i31 + 0.652681*i28*i32 + 0.513417*i28*i33 + 0.382893*i28*
     i34 + 0.270721*i28*i35 + 0.18147*i28*i36 + 0.115325*i28*i37 + 0.069483*i28
     *i38 + 0.03969*i28*i39 + 0.021494*i28*i40 + 0.011035*i28*i41 + 0.005371*
     i28*i42 + 0.002479*i28*i43 + 0.001084*i28*i44 + 0.00045*i28*i45 + 0.000177
     *i28*i46 + 6.6e-5*i28*i47 + 2.3e-5*i28*i48 - 0.876695*i48 + 0.5*sqr(i29)
      + 0.973686*i29*i30 + 0.898825*i29*i31 + 0.786628*i29*i32 + 0.652681*i29*
     i33 + 0.513417*i29*i34 + 0.382893*i29*i35 + 0.270721*i29*i36 + 0.18147*i29
     *i37 + 0.115325*i29*i38 + 0.069483*i29*i39 + 0.03969*i29*i40 + 0.021494*
     i29*i41 + 0.011035*i29*i42 + 0.005371*i29*i43 + 0.002479*i29*i44 + 
     0.001084*i29*i45 + 0.00045*i29*i46 + 0.000177*i29*i47 + 6.6e-5*i29*i48 + 
     2.3e-5*i29*i49 - 0.921071*i49 + 0.5*sqr(i30) + 0.973686*i30*i31 + 0.898825
     *i30*i32 + 0.786628*i30*i33 + 0.652681*i30*i34 + 0.513417*i30*i35 + 
     0.382893*i30*i36 + 0.270721*i30*i37 + 0.18147*i30*i38 + 0.115325*i30*i39
      + 0.069483*i30*i40 + 0.03969*i30*i41 + 0.021494*i30*i42 + 0.011035*i30*
     i43 + 0.005371*i30*i44 + 0.002479*i30*i45 + 0.001084*i30*i46 + 0.00045*i30
     *i47 + 0.000177*i30*i48 + 6.6e-5*i30*i49 + 2.3e-5*i30*i50 - 0.953546*i50
      + 0.5*sqr(i31) + 0.973686*i31*i32 + 0.898825*i31*i33 + 0.786628*i31*i34
      + 0.652681*i31*i35 + 0.513417*i31*i36 + 0.382893*i31*i37 + 0.270721*i31*
     i38 + 0.18147*i31*i39 + 0.115325*i31*i40 + 0.069483*i31*i41 + 0.03969*i31*
     i42 + 0.021494*i31*i43 + 0.011035*i31*i44 + 0.005371*i31*i45 + 0.002479*
     i31*i46 + 0.001084*i31*i47 + 0.00045*i31*i48 + 0.000177*i31*i49 + 6.6e-5*
     i31*i50 + 2.3e-5*i31*i51 - 0.973347*i51 + 0.5*sqr(i32) + 0.973686*i32*i33
      + 0.898825*i32*i34 + 0.786628*i32*i35 + 0.652681*i32*i36 + 0.513417*i32*
     i37 + 0.382893*i32*i38 + 0.270721*i32*i39 + 0.18147*i32*i40 + 0.115325*i32
     *i41 + 0.069483*i32*i42 + 0.03969*i32*i43 + 0.021494*i32*i44 + 0.011035*
     i32*i45 + 0.005371*i32*i46 + 0.002479*i32*i47 + 0.001084*i32*i48 + 0.00045
     *i32*i49 + 0.000177*i32*i50 + 6.6e-5*i32*i51 + 2.3e-5*i32*i52 - 0.98*i52
      + 0.5*sqr(i33) + 0.973686*i33*i34 + 0.898825*i33*i35 + 0.786628*i33*i36
      + 0.652681*i33*i37 + 0.513417*i33*i38 + 0.382893*i33*i39 + 0.270721*i33*
     i40 + 0.18147*i33*i41 + 0.115325*i33*i42 + 0.069483*i33*i43 + 0.03969*i33*
     i44 + 0.021494*i33*i45 + 0.011035*i33*i46 + 0.005371*i33*i47 + 0.002479*
     i33*i48 + 0.001084*i33*i49 + 0.00045*i33*i50 + 0.000177*i33*i51 + 6.6e-5*
     i33*i52 + 2.3e-5*i33*i53 - 0.973347*i53 + 0.5*sqr(i34) + 0.973686*i34*i35
      + 0.898825*i34*i36 + 0.786628*i34*i37 + 0.652681*i34*i38 + 0.513417*i34*
     i39 + 0.382893*i34*i40 + 0.270721*i34*i41 + 0.18147*i34*i42 + 0.115325*i34
     *i43 + 0.069483*i34*i44 + 0.03969*i34*i45 + 0.021494*i34*i46 + 0.011035*
     i34*i47 + 0.005371*i34*i48 + 0.002479*i34*i49 + 0.001084*i34*i50 + 0.00045
     *i34*i51 + 0.000177*i34*i52 + 6.6e-5*i34*i53 + 2.3e-5*i34*i54 - 0.953546*
     i54 + 0.5*sqr(i35) + 0.973686*i35*i36 + 0.898825*i35*i37 + 0.786628*i35*
     i38 + 0.652681*i35*i39 + 0.513417*i35*i40 + 0.382893*i35*i41 + 0.270721*
     i35*i42 + 0.18147*i35*i43 + 0.115325*i35*i44 + 0.069483*i35*i45 + 0.03969*
     i35*i46 + 0.021494*i35*i47 + 0.011035*i35*i48 + 0.005371*i35*i49 + 
     0.002479*i35*i50 + 0.001084*i35*i51 + 0.00045*i35*i52 + 0.000177*i35*i53
      + 6.6e-5*i35*i54 + 2.3e-5*i35*i55 - 0.921071*i55 + 0.5*sqr(i36) + 
     0.973686*i36*i37 + 0.898825*i36*i38 + 0.786628*i36*i39 + 0.652681*i36*i40
      + 0.513417*i36*i41 + 0.382893*i36*i42 + 0.270721*i36*i43 + 0.18147*i36*
     i44 + 0.115325*i36*i45 + 0.069483*i36*i46 + 0.03969*i36*i47 + 0.021494*i36
     *i48 + 0.011035*i36*i49 + 0.005371*i36*i50 + 0.002479*i36*i51 + 0.001084*
     i36*i52 + 0.00045*i36*i53 + 0.000177*i36*i54 + 6.6e-5*i36*i55 + 2.3e-5*i36
     *i56 - 0.876695*i56 + 0.5*sqr(i37) + 0.973686*i37*i38 + 0.898825*i37*i39
      + 0.786628*i37*i40 + 0.652681*i37*i41 + 0.513417*i37*i42 + 0.382893*i37*
     i43 + 0.270721*i37*i44 + 0.18147*i37*i45 + 0.115325*i37*i46 + 0.069483*i37
     *i47 + 0.03969*i37*i48 + 0.021494*i37*i49 + 0.011035*i37*i50 + 0.005371*
     i37*i51 + 0.002479*i37*i52 + 0.001084*i37*i53 + 0.00045*i37*i54 + 0.000177
     *i37*i55 + 6.6e-5*i37*i56 + 2.3e-5*i37*i57 - 0.821471*i57 + 0.5*sqr(i38)
      + 0.973686*i38*i39 + 0.898825*i38*i40 + 0.786628*i38*i41 + 0.652681*i38*
     i42 + 0.513417*i38*i43 + 0.382893*i38*i44 + 0.270721*i38*i45 + 0.18147*i38
     *i46 + 0.115325*i38*i47 + 0.069483*i38*i48 + 0.03969*i38*i49 + 0.021494*
     i38*i50 + 0.011035*i38*i51 + 0.005371*i38*i52 + 0.002479*i38*i53 + 
     0.001084*i38*i54 + 0.00045*i38*i55 + 0.000177*i38*i56 + 6.6e-5*i38*i57 + 
     2.3e-5*i38*i58 - 0.756699*i58 + 0.5*sqr(i39) + 0.973686*i39*i40 + 0.898825
     *i39*i41 + 0.786628*i39*i42 + 0.652681*i39*i43 + 0.513417*i39*i44 + 
     0.382893*i39*i45 + 0.270721*i39*i46 + 0.18147*i39*i47 + 0.115325*i39*i48
      + 0.069483*i39*i49 + 0.03969*i39*i50 + 0.021494*i39*i51 + 0.011035*i39*
     i52 + 0.005371*i39*i53 + 0.002479*i39*i54 + 0.001084*i39*i55 + 0.00045*i39
     *i56 + 0.000177*i39*i57 + 6.6e-5*i39*i58 + 2.3e-5*i39*i59 - 0.683893*i59
      + 0.5*sqr(i40) + 0.973686*i40*i41 + 0.898825*i40*i42 + 0.786628*i40*i43
      + 0.652681*i40*i44 + 0.513417*i40*i45 + 0.382893*i40*i46 + 0.270721*i40*
     i47 + 0.18147*i40*i48 + 0.115325*i40*i49 + 0.069483*i40*i50 + 0.03969*i40*
     i51 + 0.021494*i40*i52 + 0.011035*i40*i53 + 0.005371*i40*i54 + 0.002479*
     i40*i55 + 0.001084*i40*i56 + 0.00045*i40*i57 + 0.000177*i40*i58 + 6.6e-5*
     i40*i59 + 2.3e-5*i40*i60 - 0.604734*i60 + 0.5*sqr(i41) + 0.973686*i41*i42
      + 0.898825*i41*i43 + 0.786628*i41*i44 + 0.652681*i41*i45 + 0.513417*i41*
     i46 + 0.382893*i41*i47 + 0.270721*i41*i48 + 0.18147*i41*i49 + 0.115325*i41
     *i50 + 0.069483*i41*i51 + 0.03969*i41*i52 + 0.021494*i41*i53 + 0.011035*
     i41*i54 + 0.005371*i41*i55 + 0.002479*i41*i56 + 0.001084*i41*i57 + 0.00045
     *i41*i58 + 0.000177*i41*i59 + 6.6e-5*i41*i60 + 2.3e-5*i41*i61 - 0.521026*
     i61 + 0.5*sqr(i42) + 0.973686*i42*i43 + 0.898825*i42*i44 + 0.786628*i42*
     i45 + 0.652681*i42*i46 + 0.513417*i42*i47 + 0.382893*i42*i48 + 0.270721*
     i42*i49 + 0.18147*i42*i50 + 0.115325*i42*i51 + 0.069483*i42*i52 + 0.03969*
     i42*i53 + 0.021494*i42*i54 + 0.011035*i42*i55 + 0.005371*i42*i56 + 
     0.002479*i42*i57 + 0.001084*i42*i58 + 0.00045*i42*i59 + 0.000177*i42*i60
      + 6.6e-5*i42*i61 + 2.3e-5*i42*i62 - 0.434649*i62 + 0.5*sqr(i43) + 
     0.973686*i43*i44 + 0.898825*i43*i45 + 0.786628*i43*i46 + 0.652681*i43*i47
      + 0.513417*i43*i48 + 0.382893*i43*i49 + 0.270721*i43*i50 + 0.18147*i43*
     i51 + 0.115325*i43*i52 + 0.069483*i43*i53 + 0.03969*i43*i54 + 0.021494*i43
     *i55 + 0.011035*i43*i56 + 0.005371*i43*i57 + 0.002479*i43*i58 + 0.001084*
     i43*i59 + 0.00045*i43*i60 + 0.000177*i43*i61 + 6.6e-5*i43*i62 + 2.3e-5*i43
     *i63 - 0.347498*i63 + 0.5*sqr(i44) + 0.973686*i44*i45 + 0.898825*i44*i46
      + 0.786628*i44*i47 + 0.652681*i44*i48 + 0.513417*i44*i49 + 0.382893*i44*
     i50 + 0.270721*i44*i51 + 0.18147*i44*i52 + 0.115325*i44*i53 + 0.069483*i44
     *i54 + 0.03969*i44*i55 + 0.021494*i44*i56 + 0.011035*i44*i57 + 0.005371*
     i44*i58 + 0.002479*i44*i59 + 0.001084*i44*i60 + 0.00045*i44*i61 + 0.000177
     *i44*i62 + 6.6e-5*i44*i63 + 2.3e-5*i44*i64 - 0.261443*i64 + 0.5*sqr(i45)
      + 0.973686*i45*i46 + 0.898825*i45*i47 + 0.786628*i45*i48 + 0.652681*i45*
     i49 + 0.513417*i45*i50 + 0.382893*i45*i51 + 0.270721*i45*i52 + 0.18147*i45
     *i53 + 0.115325*i45*i54 + 0.069483*i45*i55 + 0.03969*i45*i56 + 0.021494*
     i45*i57 + 0.011035*i45*i58 + 0.005371*i45*i59 + 0.002479*i45*i60 + 
     0.001084*i45*i61 + 0.00045*i45*i62 + 0.000177*i45*i63 + 6.6e-5*i45*i64 + 
     2.3e-5*i45*i65 - 0.17827*i65 + 0.5*sqr(i46) + 0.973686*i46*i47 + 0.898825*
     i46*i48 + 0.786628*i46*i49 + 0.652681*i46*i50 + 0.513417*i46*i51 + 
     0.382893*i46*i52 + 0.270721*i46*i53 + 0.18147*i46*i54 + 0.115325*i46*i55
      + 0.069483*i46*i56 + 0.03969*i46*i57 + 0.021494*i46*i58 + 0.011035*i46*
     i59 + 0.005371*i46*i60 + 0.002479*i46*i61 + 0.001084*i46*i62 + 0.00045*i46
     *i63 + 0.000177*i46*i64 + 6.6e-5*i46*i65 + 2.3e-5*i46*i66 - 0.099639*i66
      + 0.5*sqr(i47) + 0.973686*i47*i48 + 0.898825*i47*i49 + 0.786628*i47*i50
      + 0.652681*i47*i51 + 0.513417*i47*i52 + 0.382893*i47*i53 + 0.270721*i47*
     i54 + 0.18147*i47*i55 + 0.115325*i47*i56 + 0.069483*i47*i57 + 0.03969*i47*
     i58 + 0.021494*i47*i59 + 0.011035*i47*i60 + 0.005371*i47*i61 + 0.002479*
     i47*i62 + 0.001084*i47*i63 + 0.00045*i47*i64 + 0.000177*i47*i65 + 6.6e-5*
     i47*i66 + 2.3e-5*i47*i67 - 0.02704*i67 + 0.5*sqr(i48) + 0.973686*i48*i49
      + 0.898825*i48*i50 + 0.786628*i48*i51 + 0.652681*i48*i52 + 0.513417*i48*
     i53 + 0.382893*i48*i54 + 0.270721*i48*i55 + 0.18147*i48*i56 + 0.115325*i48
     *i57 + 0.069483*i48*i58 + 0.03969*i48*i59 + 0.021494*i48*i60 + 0.011035*
     i48*i61 + 0.005371*i48*i62 + 0.002479*i48*i63 + 0.001084*i48*i64 + 0.00045
     *i48*i65 + 0.000177*i48*i66 + 6.6e-5*i48*i67 + 2.3e-5*i48*i68 + 0.038242*
     i68 + 0.5*sqr(i49) + 0.973686*i49*i50 + 0.898825*i49*i51 + 0.786628*i49*
     i52 + 0.652681*i49*i53 + 0.513417*i49*i54 + 0.382893*i49*i55 + 0.270721*
     i49*i56 + 0.18147*i49*i57 + 0.115325*i49*i58 + 0.069483*i49*i59 + 0.03969*
     i49*i60 + 0.021494*i49*i61 + 0.011035*i49*i62 + 0.005371*i49*i63 + 
     0.002479*i49*i64 + 0.001084*i49*i65 + 0.00045*i49*i66 + 0.000177*i49*i67
      + 6.6e-5*i49*i68 + 2.3e-5*i49*i69 + 0.095159*i69 + 0.5*sqr(i50) + 
     0.973686*i50*i51 + 0.898825*i50*i52 + 0.786628*i50*i53 + 0.652681*i50*i54
      + 0.513417*i50*i55 + 0.382893*i50*i56 + 0.270721*i50*i57 + 0.18147*i50*
     i58 + 0.115325*i50*i59 + 0.069483*i50*i60 + 0.03969*i50*i61 + 0.021494*i50
     *i62 + 0.011035*i50*i63 + 0.005371*i50*i64 + 0.002479*i50*i65 + 0.001084*
     i50*i66 + 0.00045*i50*i67 + 0.000177*i50*i68 + 6.6e-5*i50*i69 + 2.3e-5*i50
     *i70 + 0.142922*i70 + 0.5*sqr(i51) + 0.973686*i51*i52 + 0.898825*i51*i53
      + 0.786628*i51*i54 + 0.652681*i51*i55 + 0.513417*i51*i56 + 0.382893*i51*
     i57 + 0.270721*i51*i58 + 0.18147*i51*i59 + 0.115325*i51*i60 + 0.069483*i51
     *i61 + 0.03969*i51*i62 + 0.021494*i51*i63 + 0.011035*i51*i64 + 0.005371*
     i51*i65 + 0.002479*i51*i66 + 0.001084*i51*i67 + 0.00045*i51*i68 + 0.000177
     *i51*i69 + 6.6e-5*i51*i70 + 2.3e-5*i51*i71 + 0.181015*i71 + 0.5*sqr(i52)
      + 0.973686*i52*i53 + 0.898825*i52*i54 + 0.786628*i52*i55 + 0.652681*i52*
     i56 + 0.513417*i52*i57 + 0.382893*i52*i58 + 0.270721*i52*i59 + 0.18147*i52
     *i60 + 0.115325*i52*i61 + 0.069483*i52*i62 + 0.03969*i52*i63 + 0.021494*
     i52*i64 + 0.011035*i52*i65 + 0.005371*i52*i66 + 0.002479*i52*i67 + 
     0.001084*i52*i68 + 0.00045*i52*i69 + 0.000177*i52*i70 + 6.6e-5*i52*i71 + 
     2.3e-5*i52*i72 + 0.209201*i72 + 0.5*sqr(i53) + 0.973686*i53*i54 + 0.898825
     *i53*i55 + 0.786628*i53*i56 + 0.652681*i53*i57 + 0.513417*i53*i58 + 
     0.382893*i53*i59 + 0.270721*i53*i60 + 0.18147*i53*i61 + 0.115325*i53*i62
      + 0.069483*i53*i63 + 0.03969*i53*i64 + 0.021494*i53*i65 + 0.011035*i53*
     i66 + 0.005371*i53*i67 + 0.002479*i53*i68 + 0.001084*i53*i69 + 0.00045*i53
     *i70 + 0.000177*i53*i71 + 6.6e-5*i53*i72 + 2.3e-5*i53*i73 + 0.227518*i73
      + 0.5*sqr(i54) + 0.973686*i54*i55 + 0.898825*i54*i56 + 0.786628*i54*i57
      + 0.652681*i54*i58 + 0.513417*i54*i59 + 0.382893*i54*i60 + 0.270721*i54*
     i61 + 0.18147*i54*i62 + 0.115325*i54*i63 + 0.069483*i54*i64 + 0.03969*i54*
     i65 + 0.021494*i54*i66 + 0.011035*i54*i67 + 0.005371*i54*i68 + 0.002479*
     i54*i69 + 0.001084*i54*i70 + 0.00045*i54*i71 + 0.000177*i54*i72 + 6.6e-5*
     i54*i73 + 2.3e-5*i54*i74 + 0.236273*i74 + 0.5*sqr(i55) + 0.973686*i55*i56
      + 0.898825*i55*i57 + 0.786628*i55*i58 + 0.652681*i55*i59 + 0.513417*i55*
     i60 + 0.382893*i55*i61 + 0.270721*i55*i62 + 0.18147*i55*i63 + 0.115325*i55
     *i64 + 0.069483*i55*i65 + 0.03969*i55*i66 + 0.021494*i55*i67 + 0.011035*
     i55*i68 + 0.005371*i55*i69 + 0.002479*i55*i70 + 0.001084*i55*i71 + 0.00045
     *i55*i72 + 0.000177*i55*i73 + 6.6e-5*i55*i74 + 2.3e-5*i55*i75 + 0.23602*
     i75 + 0.5*sqr(i56) + 0.973686*i56*i57 + 0.898825*i56*i58 + 0.786628*i56*
     i59 + 0.652681*i56*i60 + 0.513417*i56*i61 + 0.382893*i56*i62 + 0.270721*
     i56*i63 + 0.18147*i56*i64 + 0.115325*i56*i65 + 0.069483*i56*i66 + 0.03969*
     i56*i67 + 0.021494*i56*i68 + 0.011035*i56*i69 + 0.005371*i56*i70 + 
     0.002479*i56*i71 + 0.001084*i56*i72 + 0.00045*i56*i73 + 0.000177*i56*i74
      + 6.6e-5*i56*i75 + 2.3e-5*i56*i76 + 0.227534*i76 + 0.5*sqr(i57) + 
     0.973686*i57*i58 + 0.898825*i57*i59 + 0.786628*i57*i60 + 0.652681*i57*i61
      + 0.513417*i57*i62 + 0.382893*i57*i63 + 0.270721*i57*i64 + 0.18147*i57*
     i65 + 0.115325*i57*i66 + 0.069483*i57*i67 + 0.03969*i57*i68 + 0.021494*i57
     *i69 + 0.011035*i57*i70 + 0.005371*i57*i71 + 0.002479*i57*i72 + 0.001084*
     i57*i73 + 0.00045*i57*i74 + 0.000177*i57*i75 + 6.6e-5*i57*i76 + 2.3e-5*i57
     *i77 + 0.211785*i77 + 0.5*sqr(i58) + 0.973686*i58*i59 + 0.898825*i58*i60
      + 0.786628*i58*i61 + 0.652681*i58*i62 + 0.513417*i58*i63 + 0.382893*i58*
     i64 + 0.270721*i58*i65 + 0.18147*i58*i66 + 0.115325*i58*i67 + 0.069483*i58
     *i68 + 0.03969*i58*i69 + 0.021494*i58*i70 + 0.011035*i58*i71 + 0.005371*
     i58*i72 + 0.002479*i58*i73 + 0.001084*i58*i74 + 0.00045*i58*i75 + 0.000177
     *i58*i76 + 6.6e-5*i58*i77 + 2.3e-5*i58*i78 + 0.189895*i78 + 0.5*sqr(i59)
      + 0.973686*i59*i60 + 0.898825*i59*i61 + 0.786628*i59*i62 + 0.652681*i59*
     i63 + 0.513417*i59*i64 + 0.382893*i59*i65 + 0.270721*i59*i66 + 0.18147*i59
     *i67 + 0.115325*i59*i68 + 0.069483*i59*i69 + 0.03969*i59*i70 + 0.021494*
     i59*i71 + 0.011035*i59*i72 + 0.005371*i59*i73 + 0.002479*i59*i74 + 
     0.001084*i59*i75 + 0.00045*i59*i76 + 0.000177*i59*i77 + 6.6e-5*i59*i78 + 
     2.3e-5*i59*i79 + 0.163105*i79 + 0.5*sqr(i60) + 0.973686*i60*i61 + 0.898825
     *i60*i62 + 0.786628*i60*i63 + 0.652681*i60*i64 + 0.513417*i60*i65 + 
     0.382893*i60*i66 + 0.270721*i60*i67 + 0.18147*i60*i68 + 0.115325*i60*i69
      + 0.069483*i60*i70 + 0.03969*i60*i71 + 0.021494*i60*i72 + 0.011035*i60*
     i73 + 0.005371*i60*i74 + 0.002479*i60*i75 + 0.001084*i60*i76 + 0.00045*i60
     *i77 + 0.000177*i60*i78 + 6.6e-5*i60*i79 + 2.3e-5*i60*i80 + 0.132726*i80
      + 0.5*sqr(i61) + 0.973686*i61*i62 + 0.898825*i61*i63 + 0.786628*i61*i64
      + 0.652681*i61*i65 + 0.513417*i61*i66 + 0.382893*i61*i67 + 0.270721*i61*
     i68 + 0.18147*i61*i69 + 0.115325*i61*i70 + 0.069483*i61*i71 + 0.03969*i61*
     i72 + 0.021494*i61*i73 + 0.011035*i61*i74 + 0.005371*i61*i75 + 0.002479*
     i61*i76 + 0.001084*i61*i77 + 0.00045*i61*i78 + 0.000177*i61*i79 + 6.6e-5*
     i61*i80 + 2.3e-5*i61*i81 + 0.100104*i81 + 0.5*sqr(i62) + 0.973686*i62*i63
      + 0.898825*i62*i64 + 0.786628*i62*i65 + 0.652681*i62*i66 + 0.513417*i62*
     i67 + 0.382893*i62*i68 + 0.270721*i62*i69 + 0.18147*i62*i70 + 0.115325*i62
     *i71 + 0.069483*i62*i72 + 0.03969*i62*i73 + 0.021494*i62*i74 + 0.011035*
     i62*i75 + 0.005371*i62*i76 + 0.002479*i62*i77 + 0.001084*i62*i78 + 0.00045
     *i62*i79 + 0.000177*i62*i80 + 6.6e-5*i62*i81 + 2.3e-5*i62*i82 + 0.066569*
     i82 + 0.5*sqr(i63) + 0.973686*i63*i64 + 0.898825*i63*i65 + 0.786628*i63*
     i66 + 0.652681*i63*i67 + 0.513417*i63*i68 + 0.382893*i63*i69 + 0.270721*
     i63*i70 + 0.18147*i63*i71 + 0.115325*i63*i72 + 0.069483*i63*i73 + 0.03969*
     i63*i74 + 0.021494*i63*i75 + 0.011035*i63*i76 + 0.005371*i63*i77 + 
     0.002479*i63*i78 + 0.001084*i63*i79 + 0.00045*i63*i80 + 0.000177*i63*i81
      + 6.6e-5*i63*i82 + 2.3e-5*i63*i83 + 0.033402*i83 + 0.5*sqr(i64) + 
     0.973686*i64*i65 + 0.898825*i64*i66 + 0.786628*i64*i67 + 0.652681*i64*i68
      + 0.513417*i64*i69 + 0.382893*i64*i70 + 0.270721*i64*i71 + 0.18147*i64*
     i72 + 0.115325*i64*i73 + 0.069483*i64*i74 + 0.03969*i64*i75 + 0.021494*i64
     *i76 + 0.011035*i64*i77 + 0.005371*i64*i78 + 0.002479*i64*i79 + 0.001084*
     i64*i80 + 0.00045*i64*i81 + 0.000177*i64*i82 + 6.6e-5*i64*i83 + 2.3e-5*i64
     *i84 + 0.001789*i84 + 0.5*sqr(i65) + 0.973686*i65*i66 + 0.898825*i65*i67
      + 0.786628*i65*i68 + 0.652681*i65*i69 + 0.513417*i65*i70 + 0.382893*i65*
     i71 + 0.270721*i65*i72 + 0.18147*i65*i73 + 0.115325*i65*i74 + 0.069483*i65
     *i75 + 0.03969*i65*i76 + 0.021494*i65*i77 + 0.011035*i65*i78 + 0.005371*
     i65*i79 + 0.002479*i65*i80 + 0.001084*i65*i81 + 0.00045*i65*i82 + 0.000177
     *i65*i83 + 6.6e-5*i65*i84 + 2.3e-5*i65*i85 - 0.027203*i85 + 0.5*sqr(i66)
      + 0.973686*i66*i67 + 0.898825*i66*i68 + 0.786628*i66*i69 + 0.652681*i66*
     i70 + 0.513417*i66*i71 + 0.382893*i66*i72 + 0.270721*i66*i73 + 0.18147*i66
     *i74 + 0.115325*i66*i75 + 0.069483*i66*i76 + 0.03969*i66*i77 + 0.021494*
     i66*i78 + 0.011035*i66*i79 + 0.005371*i66*i80 + 0.002479*i66*i81 + 
     0.001084*i66*i82 + 0.00045*i66*i83 + 0.000177*i66*i84 + 6.6e-5*i66*i85 + 
     2.3e-5*i66*i86 - 0.052664*i86 + 0.5*sqr(i67) + 0.973686*i67*i68 + 0.898825
     *i67*i69 + 0.786628*i67*i70 + 0.652681*i67*i71 + 0.513417*i67*i72 + 
     0.382893*i67*i73 + 0.270721*i67*i74 + 0.18147*i67*i75 + 0.115325*i67*i76
      + 0.069483*i67*i77 + 0.03969*i67*i78 + 0.021494*i67*i79 + 0.011035*i67*
     i80 + 0.005371*i67*i81 + 0.002479*i67*i82 + 0.001084*i67*i83 + 0.00045*i67
     *i84 + 0.000177*i67*i85 + 6.6e-5*i67*i86 + 2.3e-5*i67*i87 - 0.073855*i87
      + 0.5*sqr(i68) + 0.973686*i68*i69 + 0.898825*i68*i70 + 0.786628*i68*i71
      + 0.652681*i68*i72 + 0.513417*i68*i73 + 0.382893*i68*i74 + 0.270721*i68*
     i75 + 0.18147*i68*i76 + 0.115325*i68*i77 + 0.069483*i68*i78 + 0.03969*i68*
     i79 + 0.021494*i68*i80 + 0.011035*i68*i81 + 0.005371*i68*i82 + 0.002479*
     i68*i83 + 0.001084*i68*i84 + 0.00045*i68*i85 + 0.000177*i68*i86 + 6.6e-5*
     i68*i87 + 2.3e-5*i68*i88 - 0.090232*i88 + 0.5*sqr(i69) + 0.973686*i69*i70
      + 0.898825*i69*i71 + 0.786628*i69*i72 + 0.652681*i69*i73 + 0.513417*i69*
     i74 + 0.382893*i69*i75 + 0.270721*i69*i76 + 0.18147*i69*i77 + 0.115325*i69
     *i78 + 0.069483*i69*i79 + 0.03969*i69*i80 + 0.021494*i69*i81 + 0.011035*
     i69*i82 + 0.005371*i69*i83 + 0.002479*i69*i84 + 0.001084*i69*i85 + 0.00045
     *i69*i86 + 0.000177*i69*i87 + 6.6e-5*i69*i88 + 2.3e-5*i69*i89 - 0.101447*
     i89 + 0.5*sqr(i70) + 0.973686*i70*i71 + 0.898825*i70*i72 + 0.786628*i70*
     i73 + 0.652681*i70*i74 + 0.513417*i70*i75 + 0.382893*i70*i76 + 0.270721*
     i70*i77 + 0.18147*i70*i78 + 0.115325*i70*i79 + 0.069483*i70*i80 + 0.03969*
     i70*i81 + 0.021494*i70*i82 + 0.011035*i70*i83 + 0.005371*i70*i84 + 
     0.002479*i70*i85 + 0.001084*i70*i86 + 0.00045*i70*i87 + 0.000177*i70*i88
      + 6.6e-5*i70*i89 + 2.3e-5*i70*i90 - 0.107358*i90 + 0.5*sqr(i71) + 
     0.973686*i71*i72 + 0.898825*i71*i73 + 0.786628*i71*i74 + 0.652681*i71*i75
      + 0.513417*i71*i76 + 0.382893*i71*i77 + 0.270721*i71*i78 + 0.18147*i71*
     i79 + 0.115325*i71*i80 + 0.069483*i71*i81 + 0.03969*i71*i82 + 0.021494*i71
     *i83 + 0.011035*i71*i84 + 0.005371*i71*i85 + 0.002479*i71*i86 + 0.001084*
     i71*i87 + 0.00045*i71*i88 + 0.000177*i71*i89 + 6.6e-5*i71*i90 + 2.3e-5*i71
     *i91 - 0.108018*i91 + 0.5*sqr(i72) + 0.973686*i72*i73 + 0.898825*i72*i74
      + 0.786628*i72*i75 + 0.652681*i72*i76 + 0.513417*i72*i77 + 0.382893*i72*
     i78 + 0.270721*i72*i79 + 0.18147*i72*i80 + 0.115325*i72*i81 + 0.069483*i72
     *i82 + 0.03969*i72*i83 + 0.021494*i72*i84 + 0.011035*i72*i85 + 0.005371*
     i72*i86 + 0.002479*i72*i87 + 0.001084*i72*i88 + 0.00045*i72*i89 + 0.000177
     *i72*i90 + 6.6e-5*i72*i91 + 2.3e-5*i72*i92 - 0.10367*i92 + 0.5*sqr(i73) + 
     0.973686*i73*i74 + 0.898825*i73*i75 + 0.786628*i73*i76 + 0.652681*i73*i77
      + 0.513417*i73*i78 + 0.382893*i73*i79 + 0.270721*i73*i80 + 0.18147*i73*
     i81 + 0.115325*i73*i82 + 0.069483*i73*i83 + 0.03969*i73*i84 + 0.021494*i73
     *i85 + 0.011035*i73*i86 + 0.005371*i73*i87 + 0.002479*i73*i88 + 0.001084*
     i73*i89 + 0.00045*i73*i90 + 0.000177*i73*i91 + 6.6e-5*i73*i92 + 2.3e-5*i73
     *i93 - 0.094723*i93 + 0.5*sqr(i74) + 0.973686*i74*i75 + 0.898825*i74*i76
      + 0.786628*i74*i77 + 0.652681*i74*i78 + 0.513417*i74*i79 + 0.382893*i74*
     i80 + 0.270721*i74*i81 + 0.18147*i74*i82 + 0.115325*i74*i83 + 0.069483*i74
     *i84 + 0.03969*i74*i85 + 0.021494*i74*i86 + 0.011035*i74*i87 + 0.005371*
     i74*i88 + 0.002479*i74*i89 + 0.001084*i74*i90 + 0.00045*i74*i91 + 0.000177
     *i74*i92 + 6.6e-5*i74*i93 + 2.3e-5*i74*i94 - 0.081738*i94 + 0.5*sqr(i75)
      + 0.973686*i75*i76 + 0.898825*i75*i77 + 0.786628*i75*i78 + 0.652681*i75*
     i79 + 0.513417*i75*i80 + 0.382893*i75*i81 + 0.270721*i75*i82 + 0.18147*i75
     *i83 + 0.115325*i75*i84 + 0.069483*i75*i85 + 0.03969*i75*i86 + 0.021494*
     i75*i87 + 0.011035*i75*i88 + 0.005371*i75*i89 + 0.002479*i75*i90 + 
     0.001084*i75*i91 + 0.00045*i75*i92 + 0.000177*i75*i93 + 6.6e-5*i75*i94 + 
     2.3e-5*i75*i95 - 0.065395*i95 + 0.5*sqr(i76) + 0.973686*i76*i77 + 0.898825
     *i76*i78 + 0.786628*i76*i79 + 0.652681*i76*i80 + 0.513417*i76*i81 + 
     0.382893*i76*i82 + 0.270721*i76*i83 + 0.18147*i76*i84 + 0.115325*i76*i85
      + 0.069483*i76*i86 + 0.03969*i76*i87 + 0.021494*i76*i88 + 0.011035*i76*
     i89 + 0.005371*i76*i90 + 0.002479*i76*i91 + 0.001084*i76*i92 + 0.00045*i76
     *i93 + 0.000177*i76*i94 + 6.6e-5*i76*i95 + 2.3e-5*i76*i96 - 0.046468*i96
      + 0.5*sqr(i77) + 0.973686*i77*i78 + 0.898825*i77*i79 + 0.786628*i77*i80
      + 0.652681*i77*i81 + 0.513417*i77*i82 + 0.382893*i77*i83 + 0.270721*i77*
     i84 + 0.18147*i77*i85 + 0.115325*i77*i86 + 0.069483*i77*i87 + 0.03969*i77*
     i88 + 0.021494*i77*i89 + 0.011035*i77*i90 + 0.005371*i77*i91 + 0.002479*
     i77*i92 + 0.001084*i77*i93 + 0.00045*i77*i94 + 0.000177*i77*i95 + 6.6e-5*
     i77*i96 + 2.3e-5*i77*i97 - 0.025791*i97 + 0.5*sqr(i78) + 0.973686*i78*i79
      + 0.898825*i78*i80 + 0.786628*i78*i81 + 0.652681*i78*i82 + 0.513417*i78*
     i83 + 0.382893*i78*i84 + 0.270721*i78*i85 + 0.18147*i78*i86 + 0.115325*i78
     *i87 + 0.069483*i78*i88 + 0.03969*i78*i89 + 0.021494*i78*i90 + 0.011035*
     i78*i91 + 0.005371*i78*i92 + 0.002479*i78*i93 + 0.001084*i78*i94 + 0.00045
     *i78*i95 + 0.000177*i78*i96 + 6.6e-5*i78*i97 + 2.3e-5*i78*i98 - 0.004227*
     i98 + 0.5*sqr(i79) + 0.973686*i79*i80 + 0.898825*i79*i81 + 0.786628*i79*
     i82 + 0.652681*i79*i83 + 0.513417*i79*i84 + 0.382893*i79*i85 + 0.270721*
     i79*i86 + 0.18147*i79*i87 + 0.115325*i79*i88 + 0.069483*i79*i89 + 0.03969*
     i79*i90 + 0.021494*i79*i91 + 0.011035*i79*i92 + 0.005371*i79*i93 + 
     0.002479*i79*i94 + 0.001084*i79*i95 + 0.00045*i79*i96 + 0.000177*i79*i97
      + 6.6e-5*i79*i98 + 2.3e-5*i79*i99 + 0.017364*i99 + 0.5*sqr(i80) + 
     0.973686*i80*i81 + 0.898825*i80*i82 + 0.786628*i80*i83 + 0.652681*i80*i84
      + 0.513417*i80*i85 + 0.382893*i80*i86 + 0.270721*i80*i87 + 0.18147*i80*
     i88 + 0.115325*i80*i89 + 0.069483*i80*i90 + 0.03969*i80*i91 + 0.021494*i80
     *i92 + 0.011035*i80*i93 + 0.005371*i80*i94 + 0.002479*i80*i95 + 0.001084*
     i80*i96 + 0.00045*i80*i97 + 0.000177*i80*i98 + 6.6e-5*i80*i99 + 2.3e-5*i80
     *i100 + 0.038159*i100 + 0.5*sqr(i81) + 0.973686*i81*i82 + 0.898825*i81*i83
      + 0.786628*i81*i84 + 0.652681*i81*i85 + 0.513417*i81*i86 + 0.382893*i81*
     i87 + 0.270721*i81*i88 + 0.18147*i81*i89 + 0.115325*i81*i90 + 0.069483*i81
     *i91 + 0.03969*i81*i92 + 0.021494*i81*i93 + 0.011035*i81*i94 + 0.005371*
     i81*i95 + 0.002479*i81*i96 + 0.001084*i81*i97 + 0.00045*i81*i98 + 0.000177
     *i81*i99 + 6.6e-5*i81*i100 + 2.3e-5*i81*i101 + 0.057396*i101 + 0.5*sqr(i82
     ) + 0.973686*i82*i83 + 0.898825*i82*i84 + 0.786628*i82*i85 + 0.652681*i82*
     i86 + 0.513417*i82*i87 + 0.382893*i82*i88 + 0.270721*i82*i89 + 0.18147*i82
     *i90 + 0.115325*i82*i91 + 0.069483*i82*i92 + 0.03969*i82*i93 + 0.021494*
     i82*i94 + 0.011035*i82*i95 + 0.005371*i82*i96 + 0.002479*i82*i97 + 
     0.001084*i82*i98 + 0.00045*i82*i99 + 0.000177*i82*i100 + 6.6e-5*i82*i101
      + 2.3e-5*i82*i102 + 0.074402*i102 + 0.5*sqr(i83) + 0.973686*i83*i84 + 
     0.898825*i83*i85 + 0.786628*i83*i86 + 0.652681*i83*i87 + 0.513417*i83*i88
      + 0.382893*i83*i89 + 0.270721*i83*i90 + 0.18147*i83*i91 + 0.115325*i83*
     i92 + 0.069483*i83*i93 + 0.03969*i83*i94 + 0.021494*i83*i95 + 0.011035*i83
     *i96 + 0.005371*i83*i97 + 0.002479*i83*i98 + 0.001084*i83*i99 + 0.00045*
     i83*i100 + 0.000177*i83*i101 + 6.6e-5*i83*i102 + 0.5*i84*i84 + 0.973686*
     i84*i85 + 0.898825*i84*i86 + 0.786628*i84*i87 + 0.652681*i84*i88 + 
     0.513417*i84*i89 + 0.382893*i84*i90 + 0.270721*i84*i91 + 0.18147*i84*i92
      + 0.115325*i84*i93 + 0.069483*i84*i94 + 0.03969*i84*i95 + 0.021494*i84*
     i96 + 0.011035*i84*i97 + 0.005371*i84*i98 + 0.002479*i84*i99 + 0.001084*
     i84*i100 + 0.00045*i84*i101 + 0.000177*i84*i102 + 0.5*sqr(i85) + 0.973686*
     i85*i86 + 0.898825*i85*i87 + 0.786628*i85*i88 + 0.652681*i85*i89 + 
     0.513417*i85*i90 + 0.382893*i85*i91 + 0.270721*i85*i92 + 0.18147*i85*i93
      + 0.115325*i85*i94 + 0.069483*i85*i95 + 0.03969*i85*i96 + 0.021494*i85*
     i97 + 0.011035*i85*i98 + 0.005371*i85*i99 + 0.002479*i85*i100 + 0.001084*
     i85*i101 + 0.00045*i85*i102 + 0.5*sqr(i86) + 0.973686*i86*i87 + 0.898825*
     i86*i88 + 0.786628*i86*i89 + 0.652681*i86*i90 + 0.513417*i86*i91 + 
     0.382893*i86*i92 + 0.270721*i86*i93 + 0.18147*i86*i94 + 0.115325*i86*i95
      + 0.069483*i86*i96 + 0.03969*i86*i97 + 0.021494*i86*i98 + 0.011035*i86*
     i99 + 0.005371*i86*i100 + 0.002479*i86*i101 + 0.001084*i86*i102 + 0.5*i87*
     i87 + 0.973686*i87*i88 + 0.898825*i87*i89 + 0.786628*i87*i90 + 0.652681*
     i87*i91 + 0.513417*i87*i92 + 0.382893*i87*i93 + 0.270721*i87*i94 + 0.18147
     *i87*i95 + 0.115325*i87*i96 + 0.069483*i87*i97 + 0.03969*i87*i98 + 
     0.021494*i87*i99 + 0.011035*i87*i100 + 0.005371*i87*i101 + 0.002479*i87*
     i102 + 0.5*sqr(i88) + 0.973686*i88*i89 + 0.898825*i88*i90 + 0.786628*i88*
     i91 + 0.652681*i88*i92 + 0.513417*i88*i93 + 0.382893*i88*i94 + 0.270721*
     i88*i95 + 0.18147*i88*i96 + 0.115325*i88*i97 + 0.069483*i88*i98 + 0.03969*
     i88*i99 + 0.021494*i88*i100 + 0.011035*i88*i101 + 0.005371*i88*i102 + 0.5*
     sqr(i89) + 0.973686*i89*i90 + 0.898825*i89*i91 + 0.786628*i89*i92 + 
     0.652681*i89*i93 + 0.513417*i89*i94 + 0.382893*i89*i95 + 0.270721*i89*i96
      + 0.18147*i89*i97 + 0.115325*i89*i98 + 0.069483*i89*i99 + 0.03969*i89*
     i100 + 0.021494*i89*i101 + 0.011035*i89*i102 + 0.5*sqr(i90) + 0.973686*i90
     *i91 + 0.898825*i90*i92 + 0.786628*i90*i93 + 0.652681*i90*i94 + 0.513417*
     i90*i95 + 0.382893*i90*i96 + 0.270721*i90*i97 + 0.18147*i90*i98 + 0.115325
     *i90*i99 + 0.069483*i90*i100 + 0.03969*i90*i101 + 0.021494*i90*i102 + 0.5*
     sqr(i91) + 0.973686*i91*i92 + 0.898825*i91*i93 + 0.786628*i91*i94 + 
     0.652681*i91*i95 + 0.513417*i91*i96 + 0.382893*i91*i97 + 0.270721*i91*i98
      + 0.18147*i91*i99 + 0.115325*i91*i100 + 0.069483*i91*i101 + 0.03969*i91*
     i102 + 0.5*sqr(i92) + 0.973686*i92*i93 + 0.898825*i92*i94 + 0.786628*i92*
     i95 + 0.652681*i92*i96 + 0.513417*i92*i97 + 0.382893*i92*i98 + 0.270721*
     i92*i99 + 0.18147*i92*i100 + 0.115325*i92*i101 + 0.069483*i92*i102 + 0.5*
     sqr(i93) + 0.973686*i93*i94 + 0.898825*i93*i95 + 0.786628*i93*i96 + 
     0.652681*i93*i97 + 0.513417*i93*i98 + 0.382893*i93*i99 + 0.270721*i93*i100
      + 0.18147*i93*i101 + 0.115325*i93*i102 + 0.5*sqr(i94) + 0.973686*i94*i95
      + 0.898825*i94*i96 + 0.786628*i94*i97 + 0.652681*i94*i98 + 0.513417*i94*
     i99 + 0.382893*i94*i100 + 0.270721*i94*i101 + 0.18147*i94*i102 + 0.5*i95*
     i95 + 0.973686*i95*i96 + 0.898825*i95*i97 + 0.786628*i95*i98 + 0.652681*
     i95*i99 + 0.513417*i95*i100 + 0.382893*i95*i101 + 0.270721*i95*i102 + 0.5*
     sqr(i96) + 0.973686*i96*i97 + 0.898825*i96*i98 + 0.786628*i96*i99 + 
     0.652681*i96*i100 + 0.513417*i96*i101 + 0.382893*i96*i102 + 0.5*sqr(i97)
      + 0.973686*i97*i98 + 0.898825*i97*i99 + 0.786628*i97*i100 + 0.652681*i97*
     i101 + 0.513417*i97*i102 + 0.5*sqr(i98) + 0.973686*i98*i99 + 0.898825*i98*
     i100 + 0.786628*i98*i101 + 0.652681*i98*i102 + 0.5*sqr(i99) + 0.973686*i99
     *i100 + 0.898825*i99*i101 + 0.786628*i99*i102 + 0.5*sqr(i100) + 0.973686*
     i100*i101 + 0.898825*i100*i102 + 0.5*sqr(i101) + 0.973686*i101*i102 + 0.5*
     sqr(i102) + 0.5*sqr(i103) + 0.074402*i103 + 0.973686*i103*i104 + 0.057396*
     i104 + 0.898825*i103*i105 + 0.038159*i105 + 0.786628*i103*i106 + 0.017364*
     i106 + 0.652681*i103*i107 - 0.004227*i107 + 0.513417*i103*i108 - 0.025791*
     i108 + 0.382893*i103*i109 - 0.046468*i109 + 0.270721*i103*i110 - 0.065395*
     i110 + 0.18147*i103*i111 - 0.081738*i111 + 0.115325*i103*i112 - 0.094723*
     i112 + 0.069483*i103*i113 - 0.10367*i113 + 0.03969*i103*i114 - 0.108018*
     i114 + 0.021494*i103*i115 - 0.107358*i115 + 0.011035*i103*i116 - 0.101447*
     i116 + 0.005371*i103*i117 - 0.090232*i117 + 0.002479*i103*i118 - 0.073855*
     i118 + 0.001084*i103*i119 - 0.052664*i119 + 0.00045*i103*i120 - 0.027203*
     i120 + 0.000177*i103*i121 + 0.001789*i121 + 6.6e-5*i103*i122 + 0.033402*
     i122 + 2.3e-5*i103*i123 + 0.066569*i123 + 0.5*sqr(i104) + 0.973686*i104*
     i105 + 0.898825*i104*i106 + 0.786628*i104*i107 + 0.652681*i104*i108 + 
     0.513417*i104*i109 + 0.382893*i104*i110 + 0.270721*i104*i111 + 0.18147*
     i104*i112 + 0.115325*i104*i113 + 0.069483*i104*i114 + 0.03969*i104*i115 + 
     0.021494*i104*i116 + 0.011035*i104*i117 + 0.005371*i104*i118 + 0.002479*
     i104*i119 + 0.001084*i104*i120 + 0.00045*i104*i121 + 0.000177*i104*i122 + 
     6.6e-5*i104*i123 + 2.3e-5*i104*i124 + 0.100104*i124 + 0.5*sqr(i105) + 
     0.973686*i105*i106 + 0.898825*i105*i107 + 0.786628*i105*i108 + 0.652681*
     i105*i109 + 0.513417*i105*i110 + 0.382893*i105*i111 + 0.270721*i105*i112
      + 0.18147*i105*i113 + 0.115325*i105*i114 + 0.069483*i105*i115 + 0.03969*
     i105*i116 + 0.021494*i105*i117 + 0.011035*i105*i118 + 0.005371*i105*i119
      + 0.002479*i105*i120 + 0.001084*i105*i121 + 0.00045*i105*i122 + 0.000177*
     i105*i123 + 6.6e-5*i105*i124 + 2.3e-5*i105*i125 + 0.132726*i125 + 0.5*i106
     *i106 + 0.973686*i106*i107 + 0.898825*i106*i108 + 0.786628*i106*i109 + 
     0.652681*i106*i110 + 0.513417*i106*i111 + 0.382893*i106*i112 + 0.270721*
     i106*i113 + 0.18147*i106*i114 + 0.115325*i106*i115 + 0.069483*i106*i116 + 
     0.03969*i106*i117 + 0.021494*i106*i118 + 0.011035*i106*i119 + 0.005371*
     i106*i120 + 0.002479*i106*i121 + 0.001084*i106*i122 + 0.00045*i106*i123 + 
     0.000177*i106*i124 + 6.6e-5*i106*i125 + 2.3e-5*i106*i126 + 0.163105*i126
      + 0.5*sqr(i107) + 0.973686*i107*i108 + 0.898825*i107*i109 + 0.786628*i107
     *i110 + 0.652681*i107*i111 + 0.513417*i107*i112 + 0.382893*i107*i113 + 
     0.270721*i107*i114 + 0.18147*i107*i115 + 0.115325*i107*i116 + 0.069483*
     i107*i117 + 0.03969*i107*i118 + 0.021494*i107*i119 + 0.011035*i107*i120 + 
     0.005371*i107*i121 + 0.002479*i107*i122 + 0.001084*i107*i123 + 0.00045*
     i107*i124 + 0.000177*i107*i125 + 6.6e-5*i107*i126 + 2.3e-5*i107*i127 + 
     0.189895*i127 + 0.5*sqr(i108) + 0.973686*i108*i109 + 0.898825*i108*i110 + 
     0.786628*i108*i111 + 0.652681*i108*i112 + 0.513417*i108*i113 + 0.382893*
     i108*i114 + 0.270721*i108*i115 + 0.18147*i108*i116 + 0.115325*i108*i117 + 
     0.069483*i108*i118 + 0.03969*i108*i119 + 0.021494*i108*i120 + 0.011035*
     i108*i121 + 0.005371*i108*i122 + 0.002479*i108*i123 + 0.001084*i108*i124
      + 0.00045*i108*i125 + 0.000177*i108*i126 + 6.6e-5*i108*i127 + 2.3e-5*i108
     *i128 + 0.211785*i128 + 0.5*sqr(i109) + 0.973686*i109*i110 + 0.898825*i109
     *i111 + 0.786628*i109*i112 + 0.652681*i109*i113 + 0.513417*i109*i114 + 
     0.382893*i109*i115 + 0.270721*i109*i116 + 0.18147*i109*i117 + 0.115325*
     i109*i118 + 0.069483*i109*i119 + 0.03969*i109*i120 + 0.021494*i109*i121 + 
     0.011035*i109*i122 + 0.005371*i109*i123 + 0.002479*i109*i124 + 0.001084*
     i109*i125 + 0.00045*i109*i126 + 0.000177*i109*i127 + 6.6e-5*i109*i128 + 
     2.3e-5*i109*i129 + 0.227534*i129 + 0.5*sqr(i110) + 0.973686*i110*i111 + 
     0.898825*i110*i112 + 0.786628*i110*i113 + 0.652681*i110*i114 + 0.513417*
     i110*i115 + 0.382893*i110*i116 + 0.270721*i110*i117 + 0.18147*i110*i118 + 
     0.115325*i110*i119 + 0.069483*i110*i120 + 0.03969*i110*i121 + 0.021494*
     i110*i122 + 0.011035*i110*i123 + 0.005371*i110*i124 + 0.002479*i110*i125
      + 0.001084*i110*i126 + 0.00045*i110*i127 + 0.000177*i110*i128 + 6.6e-5*
     i110*i129 + 2.3e-5*i110*i130 + 0.23602*i130 + 0.5*sqr(i111) + 0.973686*
     i111*i112 + 0.898825*i111*i113 + 0.786628*i111*i114 + 0.652681*i111*i115
      + 0.513417*i111*i116 + 0.382893*i111*i117 + 0.270721*i111*i118 + 0.18147*
     i111*i119 + 0.115325*i111*i120 + 0.069483*i111*i121 + 0.03969*i111*i122 + 
     0.021494*i111*i123 + 0.011035*i111*i124 + 0.005371*i111*i125 + 0.002479*
     i111*i126 + 0.001084*i111*i127 + 0.00045*i111*i128 + 0.000177*i111*i129 + 
     6.6e-5*i111*i130 + 2.3e-5*i111*i131 + 0.236273*i131 + 0.5*sqr(i112) + 
     0.973686*i112*i113 + 0.898825*i112*i114 + 0.786628*i112*i115 + 0.652681*
     i112*i116 + 0.513417*i112*i117 + 0.382893*i112*i118 + 0.270721*i112*i119
      + 0.18147*i112*i120 + 0.115325*i112*i121 + 0.069483*i112*i122 + 0.03969*
     i112*i123 + 0.021494*i112*i124 + 0.011035*i112*i125 + 0.005371*i112*i126
      + 0.002479*i112*i127 + 0.001084*i112*i128 + 0.00045*i112*i129 + 0.000177*
     i112*i130 + 6.6e-5*i112*i131 + 2.3e-5*i112*i132 + 0.227518*i132 + 0.5*i113
     *i113 + 0.973686*i113*i114 + 0.898825*i113*i115 + 0.786628*i113*i116 + 
     0.652681*i113*i117 + 0.513417*i113*i118 + 0.382893*i113*i119 + 0.270721*
     i113*i120 + 0.18147*i113*i121 + 0.115325*i113*i122 + 0.069483*i113*i123 + 
     0.03969*i113*i124 + 0.021494*i113*i125 + 0.011035*i113*i126 + 0.005371*
     i113*i127 + 0.002479*i113*i128 + 0.001084*i113*i129 + 0.00045*i113*i130 + 
     0.000177*i113*i131 + 6.6e-5*i113*i132 + 2.3e-5*i113*i133 + 0.209201*i133
      + 0.5*sqr(i114) + 0.973686*i114*i115 + 0.898825*i114*i116 + 0.786628*i114
     *i117 + 0.652681*i114*i118 + 0.513417*i114*i119 + 0.382893*i114*i120 + 
     0.270721*i114*i121 + 0.18147*i114*i122 + 0.115325*i114*i123 + 0.069483*
     i114*i124 + 0.03969*i114*i125 + 0.021494*i114*i126 + 0.011035*i114*i127 + 
     0.005371*i114*i128 + 0.002479*i114*i129 + 0.001084*i114*i130 + 0.00045*
     i114*i131 + 0.000177*i114*i132 + 6.6e-5*i114*i133 + 2.3e-5*i114*i134 + 
     0.181015*i134 + 0.5*sqr(i115) + 0.973686*i115*i116 + 0.898825*i115*i117 + 
     0.786628*i115*i118 + 0.652681*i115*i119 + 0.513417*i115*i120 + 0.382893*
     i115*i121 + 0.270721*i115*i122 + 0.18147*i115*i123 + 0.115325*i115*i124 + 
     0.069483*i115*i125 + 0.03969*i115*i126 + 0.021494*i115*i127 + 0.011035*
     i115*i128 + 0.005371*i115*i129 + 0.002479*i115*i130 + 0.001084*i115*i131
      + 0.00045*i115*i132 + 0.000177*i115*i133 + 6.6e-5*i115*i134 + 2.3e-5*i115
     *i135 + 0.142922*i135 + 0.5*sqr(i116) + 0.973686*i116*i117 + 0.898825*i116
     *i118 + 0.786628*i116*i119 + 0.652681*i116*i120 + 0.513417*i116*i121 + 
     0.382893*i116*i122 + 0.270721*i116*i123 + 0.18147*i116*i124 + 0.115325*
     i116*i125 + 0.069483*i116*i126 + 0.03969*i116*i127 + 0.021494*i116*i128 + 
     0.011035*i116*i129 + 0.005371*i116*i130 + 0.002479*i116*i131 + 0.001084*
     i116*i132 + 0.00045*i116*i133 + 0.000177*i116*i134 + 6.6e-5*i116*i135 + 
     2.3e-5*i116*i136 + 0.095159*i136 + 0.5*sqr(i117) + 0.973686*i117*i118 + 
     0.898825*i117*i119 + 0.786628*i117*i120 + 0.652681*i117*i121 + 0.513417*
     i117*i122 + 0.382893*i117*i123 + 0.270721*i117*i124 + 0.18147*i117*i125 + 
     0.115325*i117*i126 + 0.069483*i117*i127 + 0.03969*i117*i128 + 0.021494*
     i117*i129 + 0.011035*i117*i130 + 0.005371*i117*i131 + 0.002479*i117*i132
      + 0.001084*i117*i133 + 0.00045*i117*i134 + 0.000177*i117*i135 + 6.6e-5*
     i117*i136 + 2.3e-5*i117*i137 + 0.038242*i137 + 0.5*sqr(i118) + 0.973686*
     i118*i119 + 0.898825*i118*i120 + 0.786628*i118*i121 + 0.652681*i118*i122
      + 0.513417*i118*i123 + 0.382893*i118*i124 + 0.270721*i118*i125 + 0.18147*
     i118*i126 + 0.115325*i118*i127 + 0.069483*i118*i128 + 0.03969*i118*i129 + 
     0.021494*i118*i130 + 0.011035*i118*i131 + 0.005371*i118*i132 + 0.002479*
     i118*i133 + 0.001084*i118*i134 + 0.00045*i118*i135 + 0.000177*i118*i136 + 
     6.6e-5*i118*i137 + 2.3e-5*i118*i138 - 0.02704*i138 + 0.5*sqr(i119) + 
     0.973686*i119*i120 + 0.898825*i119*i121 + 0.786628*i119*i122 + 0.652681*
     i119*i123 + 0.513417*i119*i124 + 0.382893*i119*i125 + 0.270721*i119*i126
      + 0.18147*i119*i127 + 0.115325*i119*i128 + 0.069483*i119*i129 + 0.03969*
     i119*i130 + 0.021494*i119*i131 + 0.011035*i119*i132 + 0.005371*i119*i133
      + 0.002479*i119*i134 + 0.001084*i119*i135 + 0.00045*i119*i136 + 0.000177*
     i119*i137 + 6.6e-5*i119*i138 + 2.3e-5*i119*i139 - 0.099639*i139 + 0.5*i120
     *i120 + 0.973686*i120*i121 + 0.898825*i120*i122 + 0.786628*i120*i123 + 
     0.652681*i120*i124 + 0.513417*i120*i125 + 0.382893*i120*i126 + 0.270721*
     i120*i127 + 0.18147*i120*i128 + 0.115325*i120*i129 + 0.069483*i120*i130 + 
     0.03969*i120*i131 + 0.021494*i120*i132 + 0.011035*i120*i133 + 0.005371*
     i120*i134 + 0.002479*i120*i135 + 0.001084*i120*i136 + 0.00045*i120*i137 + 
     0.000177*i120*i138 + 6.6e-5*i120*i139 + 2.3e-5*i120*i140 - 0.17827*i140 + 
     0.5*sqr(i121) + 0.973686*i121*i122 + 0.898825*i121*i123 + 0.786628*i121*
     i124 + 0.652681*i121*i125 + 0.513417*i121*i126 + 0.382893*i121*i127 + 
     0.270721*i121*i128 + 0.18147*i121*i129 + 0.115325*i121*i130 + 0.069483*
     i121*i131 + 0.03969*i121*i132 + 0.021494*i121*i133 + 0.011035*i121*i134 + 
     0.005371*i121*i135 + 0.002479*i121*i136 + 0.001084*i121*i137 + 0.00045*
     i121*i138 + 0.000177*i121*i139 + 6.6e-5*i121*i140 + 2.3e-5*i121*i141 - 
     0.261443*i141 + 0.5*sqr(i122) + 0.973686*i122*i123 + 0.898825*i122*i124 + 
     0.786628*i122*i125 + 0.652681*i122*i126 + 0.513417*i122*i127 + 0.382893*
     i122*i128 + 0.270721*i122*i129 + 0.18147*i122*i130 + 0.115325*i122*i131 + 
     0.069483*i122*i132 + 0.03969*i122*i133 + 0.021494*i122*i134 + 0.011035*
     i122*i135 + 0.005371*i122*i136 + 0.002479*i122*i137 + 0.001084*i122*i138
      + 0.00045*i122*i139 + 0.000177*i122*i140 + 6.6e-5*i122*i141 + 2.3e-5*i122
     *i142 - 0.347498*i142 + 0.5*sqr(i123) + 0.973686*i123*i124 + 0.898825*i123
     *i125 + 0.786628*i123*i126 + 0.652681*i123*i127 + 0.513417*i123*i128 + 
     0.382893*i123*i129 + 0.270721*i123*i130 + 0.18147*i123*i131 + 0.115325*
     i123*i132 + 0.069483*i123*i133 + 0.03969*i123*i134 + 0.021494*i123*i135 + 
     0.011035*i123*i136 + 0.005371*i123*i137 + 0.002479*i123*i138 + 0.001084*
     i123*i139 + 0.00045*i123*i140 + 0.000177*i123*i141 + 6.6e-5*i123*i142 + 
     2.3e-5*i123*i143 - 0.434649*i143 + 0.5*sqr(i124) + 0.973686*i124*i125 + 
     0.898825*i124*i126 + 0.786628*i124*i127 + 0.652681*i124*i128 + 0.513417*
     i124*i129 + 0.382893*i124*i130 + 0.270721*i124*i131 + 0.18147*i124*i132 + 
     0.115325*i124*i133 + 0.069483*i124*i134 + 0.03969*i124*i135 + 0.021494*
     i124*i136 + 0.011035*i124*i137 + 0.005371*i124*i138 + 0.002479*i124*i139
      + 0.001084*i124*i140 + 0.00045*i124*i141 + 0.000177*i124*i142 + 6.6e-5*
     i124*i143 + 2.3e-5*i124*i144 - 0.521026*i144 + 0.5*sqr(i125) + 0.973686*
     i125*i126 + 0.898825*i125*i127 + 0.786628*i125*i128 + 0.652681*i125*i129
      + 0.513417*i125*i130 + 0.382893*i125*i131 + 0.270721*i125*i132 + 0.18147*
     i125*i133 + 0.115325*i125*i134 + 0.069483*i125*i135 + 0.03969*i125*i136 + 
     0.021494*i125*i137 + 0.011035*i125*i138 + 0.005371*i125*i139 + 0.002479*
     i125*i140 + 0.001084*i125*i141 + 0.00045*i125*i142 + 0.000177*i125*i143 + 
     6.6e-5*i125*i144 + 2.3e-5*i125*i145 - 0.604734*i145 + 0.5*sqr(i126) + 
     0.973686*i126*i127 + 0.898825*i126*i128 + 0.786628*i126*i129 + 0.652681*
     i126*i130 + 0.513417*i126*i131 + 0.382893*i126*i132 + 0.270721*i126*i133
      + 0.18147*i126*i134 + 0.115325*i126*i135 + 0.069483*i126*i136 + 0.03969*
     i126*i137 + 0.021494*i126*i138 + 0.011035*i126*i139 + 0.005371*i126*i140
      + 0.002479*i126*i141 + 0.001084*i126*i142 + 0.00045*i126*i143 + 0.000177*
     i126*i144 + 6.6e-5*i126*i145 + 2.3e-5*i126*i146 - 0.683893*i146 + 0.5*i127
     *i127 + 0.973686*i127*i128 + 0.898825*i127*i129 + 0.786628*i127*i130 + 
     0.652681*i127*i131 + 0.513417*i127*i132 + 0.382893*i127*i133 + 0.270721*
     i127*i134 + 0.18147*i127*i135 + 0.115325*i127*i136 + 0.069483*i127*i137 + 
     0.03969*i127*i138 + 0.021494*i127*i139 + 0.011035*i127*i140 + 0.005371*
     i127*i141 + 0.002479*i127*i142 + 0.001084*i127*i143 + 0.00045*i127*i144 + 
     0.000177*i127*i145 + 6.6e-5*i127*i146 + 2.3e-5*i127*i147 - 0.756699*i147
      + 0.5*sqr(i128) + 0.973686*i128*i129 + 0.898825*i128*i130 + 0.786628*i128
     *i131 + 0.652681*i128*i132 + 0.513417*i128*i133 + 0.382893*i128*i134 + 
     0.270721*i128*i135 + 0.18147*i128*i136 + 0.115325*i128*i137 + 0.069483*
     i128*i138 + 0.03969*i128*i139 + 0.021494*i128*i140 + 0.011035*i128*i141 + 
     0.005371*i128*i142 + 0.002479*i128*i143 + 0.001084*i128*i144 + 0.00045*
     i128*i145 + 0.000177*i128*i146 + 6.6e-5*i128*i147 + 2.3e-5*i128*i148 - 
     0.821471*i148 + 0.5*sqr(i129) + 0.973686*i129*i130 + 0.898825*i129*i131 + 
     0.786628*i129*i132 + 0.652681*i129*i133 + 0.513417*i129*i134 + 0.382893*
     i129*i135 + 0.270721*i129*i136 + 0.18147*i129*i137 + 0.115325*i129*i138 + 
     0.069483*i129*i139 + 0.03969*i129*i140 + 0.021494*i129*i141 + 0.011035*
     i129*i142 + 0.005371*i129*i143 + 0.002479*i129*i144 + 0.001084*i129*i145
      + 0.00045*i129*i146 + 0.000177*i129*i147 + 6.6e-5*i129*i148 + 2.3e-5*i129
     *i149 - 0.876695*i149 + 0.5*sqr(i130) + 0.973686*i130*i131 + 0.898825*i130
     *i132 + 0.786628*i130*i133 + 0.652681*i130*i134 + 0.513417*i130*i135 + 
     0.382893*i130*i136 + 0.270721*i130*i137 + 0.18147*i130*i138 + 0.115325*
     i130*i139 + 0.069483*i130*i140 + 0.03969*i130*i141 + 0.021494*i130*i142 + 
     0.011035*i130*i143 + 0.005371*i130*i144 + 0.002479*i130*i145 + 0.001084*
     i130*i146 + 0.00045*i130*i147 + 0.000177*i130*i148 + 6.6e-5*i130*i149 + 
     2.3e-5*i130*i150 - 0.921071*i150 + 0.5*sqr(i131) + 0.973686*i131*i132 + 
     0.898825*i131*i133 + 0.786628*i131*i134 + 0.652681*i131*i135 + 0.513417*
     i131*i136 + 0.382893*i131*i137 + 0.270721*i131*i138 + 0.18147*i131*i139 + 
     0.115325*i131*i140 + 0.069483*i131*i141 + 0.03969*i131*i142 + 0.021494*
     i131*i143 + 0.011035*i131*i144 + 0.005371*i131*i145 + 0.002479*i131*i146
      + 0.001084*i131*i147 + 0.00045*i131*i148 + 0.000177*i131*i149 + 6.6e-5*
     i131*i150 + 2.3e-5*i131*i151 - 0.953546*i151 + 0.5*sqr(i132) + 0.973686*
     i132*i133 + 0.898825*i132*i134 + 0.786628*i132*i135 + 0.652681*i132*i136
      + 0.513417*i132*i137 + 0.382893*i132*i138 + 0.270721*i132*i139 + 0.18147*
     i132*i140 + 0.115325*i132*i141 + 0.069483*i132*i142 + 0.03969*i132*i143 + 
     0.021494*i132*i144 + 0.011035*i132*i145 + 0.005371*i132*i146 + 0.002479*
     i132*i147 + 0.001084*i132*i148 + 0.00045*i132*i149 + 0.000177*i132*i150 + 
     6.6e-5*i132*i151 + 2.3e-5*i132*i152 - 0.973347*i152 + 0.5*sqr(i133) + 
     0.973686*i133*i134 + 0.898825*i133*i135 + 0.786628*i133*i136 + 0.652681*
     i133*i137 + 0.513417*i133*i138 + 0.382893*i133*i139 + 0.270721*i133*i140
      + 0.18147*i133*i141 + 0.115325*i133*i142 + 0.069483*i133*i143 + 0.03969*
     i133*i144 + 0.021494*i133*i145 + 0.011035*i133*i146 + 0.005371*i133*i147
      + 0.002479*i133*i148 + 0.001084*i133*i149 + 0.00045*i133*i150 + 0.000177*
     i133*i151 + 6.6e-5*i133*i152 + 2.3e-5*i133*i153 - 0.98*i153 + 0.5*i134*
     i134 + 0.973686*i134*i135 + 0.898825*i134*i136 + 0.786628*i134*i137 + 
     0.652681*i134*i138 + 0.513417*i134*i139 + 0.382893*i134*i140 + 0.270721*
     i134*i141 + 0.18147*i134*i142 + 0.115325*i134*i143 + 0.069483*i134*i144 + 
     0.03969*i134*i145 + 0.021494*i134*i146 + 0.011035*i134*i147 + 0.005371*
     i134*i148 + 0.002479*i134*i149 + 0.001084*i134*i150 + 0.00045*i134*i151 + 
     0.000177*i134*i152 + 6.6e-5*i134*i153 + 2.3e-5*i134*i154 - 0.973347*i154
      + 0.5*sqr(i135) + 0.973686*i135*i136 + 0.898825*i135*i137 + 0.786628*i135
     *i138 + 0.652681*i135*i139 + 0.513417*i135*i140 + 0.382893*i135*i141 + 
     0.270721*i135*i142 + 0.18147*i135*i143 + 0.115325*i135*i144 + 0.069483*
     i135*i145 + 0.03969*i135*i146 + 0.021494*i135*i147 + 0.011035*i135*i148 + 
     0.005371*i135*i149 + 0.002479*i135*i150 + 0.001084*i135*i151 + 0.00045*
     i135*i152 + 0.000177*i135*i153 + 6.6e-5*i135*i154 + 2.3e-5*i135*i155 - 
     0.953546*i155 + 0.5*sqr(i136) + 0.973686*i136*i137 + 0.898825*i136*i138 + 
     0.786628*i136*i139 + 0.652681*i136*i140 + 0.513417*i136*i141 + 0.382893*
     i136*i142 + 0.270721*i136*i143 + 0.18147*i136*i144 + 0.115325*i136*i145 + 
     0.069483*i136*i146 + 0.03969*i136*i147 + 0.021494*i136*i148 + 0.011035*
     i136*i149 + 0.005371*i136*i150 + 0.002479*i136*i151 + 0.001084*i136*i152
      + 0.00045*i136*i153 + 0.000177*i136*i154 + 6.6e-5*i136*i155 + 2.3e-5*i136
     *i156 - 0.921071*i156 + 0.5*sqr(i137) + 0.973686*i137*i138 + 0.898825*i137
     *i139 + 0.786628*i137*i140 + 0.652681*i137*i141 + 0.513417*i137*i142 + 
     0.382893*i137*i143 + 0.270721*i137*i144 + 0.18147*i137*i145 + 0.115325*
     i137*i146 + 0.069483*i137*i147 + 0.03969*i137*i148 + 0.021494*i137*i149 + 
     0.011035*i137*i150 + 0.005371*i137*i151 + 0.002479*i137*i152 + 0.001084*
     i137*i153 + 0.00045*i137*i154 + 0.000177*i137*i155 + 6.6e-5*i137*i156 + 
     2.3e-5*i137*i157 - 0.876695*i157 + 0.5*sqr(i138) + 0.973686*i138*i139 + 
     0.898825*i138*i140 + 0.786628*i138*i141 + 0.652681*i138*i142 + 0.513417*
     i138*i143 + 0.382893*i138*i144 + 0.270721*i138*i145 + 0.18147*i138*i146 + 
     0.115325*i138*i147 + 0.069483*i138*i148 + 0.03969*i138*i149 + 0.021494*
     i138*i150 + 0.011035*i138*i151 + 0.005371*i138*i152 + 0.002479*i138*i153
      + 0.001084*i138*i154 + 0.00045*i138*i155 + 0.000177*i138*i156 + 6.6e-5*
     i138*i157 + 2.3e-5*i138*i158 - 0.821471*i158 + 0.5*sqr(i139) + 0.973686*
     i139*i140 + 0.898825*i139*i141 + 0.786628*i139*i142 + 0.652681*i139*i143
      + 0.513417*i139*i144 + 0.382893*i139*i145 + 0.270721*i139*i146 + 0.18147*
     i139*i147 + 0.115325*i139*i148 + 0.069483*i139*i149 + 0.03969*i139*i150 + 
     0.021494*i139*i151 + 0.011035*i139*i152 + 0.005371*i139*i153 + 0.002479*
     i139*i154 + 0.001084*i139*i155 + 0.00045*i139*i156 + 0.000177*i139*i157 + 
     6.6e-5*i139*i158 + 2.3e-5*i139*i159 - 0.756699*i159 + 0.5*sqr(i140) + 
     0.973686*i140*i141 + 0.898825*i140*i142 + 0.786628*i140*i143 + 0.652681*
     i140*i144 + 0.513417*i140*i145 + 0.382893*i140*i146 + 0.270721*i140*i147
      + 0.18147*i140*i148 + 0.115325*i140*i149 + 0.069483*i140*i150 + 0.03969*
     i140*i151 + 0.021494*i140*i152 + 0.011035*i140*i153 + 0.005371*i140*i154
      + 0.002479*i140*i155 + 0.001084*i140*i156 + 0.00045*i140*i157 + 0.000177*
     i140*i158 + 6.6e-5*i140*i159 + 2.3e-5*i140*i160 - 0.683893*i160 + 0.5*i141
     *i141 + 0.973686*i141*i142 + 0.898825*i141*i143 + 0.786628*i141*i144 + 
     0.652681*i141*i145 + 0.513417*i141*i146 + 0.382893*i141*i147 + 0.270721*
     i141*i148 + 0.18147*i141*i149 + 0.115325*i141*i150 + 0.069483*i141*i151 + 
     0.03969*i141*i152 + 0.021494*i141*i153 + 0.011035*i141*i154 + 0.005371*
     i141*i155 + 0.002479*i141*i156 + 0.001084*i141*i157 + 0.00045*i141*i158 + 
     0.000177*i141*i159 + 6.6e-5*i141*i160 + 2.3e-5*i141*i161 - 0.604734*i161
      + 0.5*sqr(i142) + 0.973686*i142*i143 + 0.898825*i142*i144 + 0.786628*i142
     *i145 + 0.652681*i142*i146 + 0.513417*i142*i147 + 0.382893*i142*i148 + 
     0.270721*i142*i149 + 0.18147*i142*i150 + 0.115325*i142*i151 + 0.069483*
     i142*i152 + 0.03969*i142*i153 + 0.021494*i142*i154 + 0.011035*i142*i155 + 
     0.005371*i142*i156 + 0.002479*i142*i157 + 0.001084*i142*i158 + 0.00045*
     i142*i159 + 0.000177*i142*i160 + 6.6e-5*i142*i161 + 2.3e-5*i142*i162 - 
     0.521026*i162 + 0.5*sqr(i143) + 0.973686*i143*i144 + 0.898825*i143*i145 + 
     0.786628*i143*i146 + 0.652681*i143*i147 + 0.513417*i143*i148 + 0.382893*
     i143*i149 + 0.270721*i143*i150 + 0.18147*i143*i151 + 0.115325*i143*i152 + 
     0.069483*i143*i153 + 0.03969*i143*i154 + 0.021494*i143*i155 + 0.011035*
     i143*i156 + 0.005371*i143*i157 + 0.002479*i143*i158 + 0.001084*i143*i159
      + 0.00045*i143*i160 + 0.000177*i143*i161 + 6.6e-5*i143*i162 + 2.3e-5*i143
     *i163 - 0.434649*i163 + 0.5*sqr(i144) + 0.973686*i144*i145 + 0.898825*i144
     *i146 + 0.786628*i144*i147 + 0.652681*i144*i148 + 0.513417*i144*i149 + 
     0.382893*i144*i150 + 0.270721*i144*i151 + 0.18147*i144*i152 + 0.115325*
     i144*i153 + 0.069483*i144*i154 + 0.03969*i144*i155 + 0.021494*i144*i156 + 
     0.011035*i144*i157 + 0.005371*i144*i158 + 0.002479*i144*i159 + 0.001084*
     i144*i160 + 0.00045*i144*i161 + 0.000177*i144*i162 + 6.6e-5*i144*i163 + 
     2.3e-5*i144*i164 - 0.347498*i164 + 0.5*sqr(i145) + 0.973686*i145*i146 + 
     0.898825*i145*i147 + 0.786628*i145*i148 + 0.652681*i145*i149 + 0.513417*
     i145*i150 + 0.382893*i145*i151 + 0.270721*i145*i152 + 0.18147*i145*i153 + 
     0.115325*i145*i154 + 0.069483*i145*i155 + 0.03969*i145*i156 + 0.021494*
     i145*i157 + 0.011035*i145*i158 + 0.005371*i145*i159 + 0.002479*i145*i160
      + 0.001084*i145*i161 + 0.00045*i145*i162 + 0.000177*i145*i163 + 6.6e-5*
     i145*i164 + 2.3e-5*i145*i165 - 0.261443*i165 + 0.5*sqr(i146) + 0.973686*
     i146*i147 + 0.898825*i146*i148 + 0.786628*i146*i149 + 0.652681*i146*i150
      + 0.513417*i146*i151 + 0.382893*i146*i152 + 0.270721*i146*i153 + 0.18147*
     i146*i154 + 0.115325*i146*i155 + 0.069483*i146*i156 + 0.03969*i146*i157 + 
     0.021494*i146*i158 + 0.011035*i146*i159 + 0.005371*i146*i160 + 0.002479*
     i146*i161 + 0.001084*i146*i162 + 0.00045*i146*i163 + 0.000177*i146*i164 + 
     6.6e-5*i146*i165 + 2.3e-5*i146*i166 - 0.17827*i166 + 0.5*sqr(i147) + 
     0.973686*i147*i148 + 0.898825*i147*i149 + 0.786628*i147*i150 + 0.652681*
     i147*i151 + 0.513417*i147*i152 + 0.382893*i147*i153 + 0.270721*i147*i154
      + 0.18147*i147*i155 + 0.115325*i147*i156 + 0.069483*i147*i157 + 0.03969*
     i147*i158 + 0.021494*i147*i159 + 0.011035*i147*i160 + 0.005371*i147*i161
      + 0.002479*i147*i162 + 0.001084*i147*i163 + 0.00045*i147*i164 + 0.000177*
     i147*i165 + 6.6e-5*i147*i166 + 2.3e-5*i147*i167 - 0.099639*i167 + 0.5*i148
     *i148 + 0.973686*i148*i149 + 0.898825*i148*i150 + 0.786628*i148*i151 + 
     0.652681*i148*i152 + 0.513417*i148*i153 + 0.382893*i148*i154 + 0.270721*
     i148*i155 + 0.18147*i148*i156 + 0.115325*i148*i157 + 0.069483*i148*i158 + 
     0.03969*i148*i159 + 0.021494*i148*i160 + 0.011035*i148*i161 + 0.005371*
     i148*i162 + 0.002479*i148*i163 + 0.001084*i148*i164 + 0.00045*i148*i165 + 
     0.000177*i148*i166 + 6.6e-5*i148*i167 + 2.3e-5*i148*i168 - 0.02704*i168 + 
     0.5*sqr(i149) + 0.973686*i149*i150 + 0.898825*i149*i151 + 0.786628*i149*
     i152 + 0.652681*i149*i153 + 0.513417*i149*i154 + 0.382893*i149*i155 + 
     0.270721*i149*i156 + 0.18147*i149*i157 + 0.115325*i149*i158 + 0.069483*
     i149*i159 + 0.03969*i149*i160 + 0.021494*i149*i161 + 0.011035*i149*i162 + 
     0.005371*i149*i163 + 0.002479*i149*i164 + 0.001084*i149*i165 + 0.00045*
     i149*i166 + 0.000177*i149*i167 + 6.6e-5*i149*i168 + 2.3e-5*i149*i169 + 
     0.038242*i169 + 0.5*sqr(i150) + 0.973686*i150*i151 + 0.898825*i150*i152 + 
     0.786628*i150*i153 + 0.652681*i150*i154 + 0.513417*i150*i155 + 0.382893*
     i150*i156 + 0.270721*i150*i157 + 0.18147*i150*i158 + 0.115325*i150*i159 + 
     0.069483*i150*i160 + 0.03969*i150*i161 + 0.021494*i150*i162 + 0.011035*
     i150*i163 + 0.005371*i150*i164 + 0.002479*i150*i165 + 0.001084*i150*i166
      + 0.00045*i150*i167 + 0.000177*i150*i168 + 6.6e-5*i150*i169 + 2.3e-5*i150
     *i170 + 0.095159*i170 + 0.5*sqr(i151) + 0.973686*i151*i152 + 0.898825*i151
     *i153 + 0.786628*i151*i154 + 0.652681*i151*i155 + 0.513417*i151*i156 + 
     0.382893*i151*i157 + 0.270721*i151*i158 + 0.18147*i151*i159 + 0.115325*
     i151*i160 + 0.069483*i151*i161 + 0.03969*i151*i162 + 0.021494*i151*i163 + 
     0.011035*i151*i164 + 0.005371*i151*i165 + 0.002479*i151*i166 + 0.001084*
     i151*i167 + 0.00045*i151*i168 + 0.000177*i151*i169 + 6.6e-5*i151*i170 + 
     2.3e-5*i151*i171 + 0.142922*i171 + 0.5*sqr(i152) + 0.973686*i152*i153 + 
     0.898825*i152*i154 + 0.786628*i152*i155 + 0.652681*i152*i156 + 0.513417*
     i152*i157 + 0.382893*i152*i158 + 0.270721*i152*i159 + 0.18147*i152*i160 + 
     0.115325*i152*i161 + 0.069483*i152*i162 + 0.03969*i152*i163 + 0.021494*
     i152*i164 + 0.011035*i152*i165 + 0.005371*i152*i166 + 0.002479*i152*i167
      + 0.001084*i152*i168 + 0.00045*i152*i169 + 0.000177*i152*i170 + 6.6e-5*
     i152*i171 + 2.3e-5*i152*i172 + 0.181015*i172 + 0.5*sqr(i153) + 0.973686*
     i153*i154 + 0.898825*i153*i155 + 0.786628*i153*i156 + 0.652681*i153*i157
      + 0.513417*i153*i158 + 0.382893*i153*i159 + 0.270721*i153*i160 + 0.18147*
     i153*i161 + 0.115325*i153*i162 + 0.069483*i153*i163 + 0.03969*i153*i164 + 
     0.021494*i153*i165 + 0.011035*i153*i166 + 0.005371*i153*i167 + 0.002479*
     i153*i168 + 0.001084*i153*i169 + 0.00045*i153*i170 + 0.000177*i153*i171 + 
     6.6e-5*i153*i172 + 2.3e-5*i153*i173 + 0.209201*i173 + 0.5*sqr(i154) + 
     0.973686*i154*i155 + 0.898825*i154*i156 + 0.786628*i154*i157 + 0.652681*
     i154*i158 + 0.513417*i154*i159 + 0.382893*i154*i160 + 0.270721*i154*i161
      + 0.18147*i154*i162 + 0.115325*i154*i163 + 0.069483*i154*i164 + 0.03969*
     i154*i165 + 0.021494*i154*i166 + 0.011035*i154*i167 + 0.005371*i154*i168
      + 0.002479*i154*i169 + 0.001084*i154*i170 + 0.00045*i154*i171 + 0.000177*
     i154*i172 + 6.6e-5*i154*i173 + 2.3e-5*i154*i174 + 0.227518*i174 + 0.5*i155
     *i155 + 0.973686*i155*i156 + 0.898825*i155*i157 + 0.786628*i155*i158 + 
     0.652681*i155*i159 + 0.513417*i155*i160 + 0.382893*i155*i161 + 0.270721*
     i155*i162 + 0.18147*i155*i163 + 0.115325*i155*i164 + 0.069483*i155*i165 + 
     0.03969*i155*i166 + 0.021494*i155*i167 + 0.011035*i155*i168 + 0.005371*
     i155*i169 + 0.002479*i155*i170 + 0.001084*i155*i171 + 0.00045*i155*i172 + 
     0.000177*i155*i173 + 6.6e-5*i155*i174 + 2.3e-5*i155*i175 + 0.236273*i175
      + 0.5*sqr(i156) + 0.973686*i156*i157 + 0.898825*i156*i158 + 0.786628*i156
     *i159 + 0.652681*i156*i160 + 0.513417*i156*i161 + 0.382893*i156*i162 + 
     0.270721*i156*i163 + 0.18147*i156*i164 + 0.115325*i156*i165 + 0.069483*
     i156*i166 + 0.03969*i156*i167 + 0.021494*i156*i168 + 0.011035*i156*i169 + 
     0.005371*i156*i170 + 0.002479*i156*i171 + 0.001084*i156*i172 + 0.00045*
     i156*i173 + 0.000177*i156*i174 + 6.6e-5*i156*i175 + 2.3e-5*i156*i176 + 
     0.23602*i176 + 0.5*sqr(i157) + 0.973686*i157*i158 + 0.898825*i157*i159 + 
     0.786628*i157*i160 + 0.652681*i157*i161 + 0.513417*i157*i162 + 0.382893*
     i157*i163 + 0.270721*i157*i164 + 0.18147*i157*i165 + 0.115325*i157*i166 + 
     0.069483*i157*i167 + 0.03969*i157*i168 + 0.021494*i157*i169 + 0.011035*
     i157*i170 + 0.005371*i157*i171 + 0.002479*i157*i172 + 0.001084*i157*i173
      + 0.00045*i157*i174 + 0.000177*i157*i175 + 6.6e-5*i157*i176 + 2.3e-5*i157
     *i177 + 0.227534*i177 + 0.5*sqr(i158) + 0.973686*i158*i159 + 0.898825*i158
     *i160 + 0.786628*i158*i161 + 0.652681*i158*i162 + 0.513417*i158*i163 + 
     0.382893*i158*i164 + 0.270721*i158*i165 + 0.18147*i158*i166 + 0.115325*
     i158*i167 + 0.069483*i158*i168 + 0.03969*i158*i169 + 0.021494*i158*i170 + 
     0.011035*i158*i171 + 0.005371*i158*i172 + 0.002479*i158*i173 + 0.001084*
     i158*i174 + 0.00045*i158*i175 + 0.000177*i158*i176 + 6.6e-5*i158*i177 + 
     2.3e-5*i158*i178 + 0.211785*i178 + 0.5*sqr(i159) + 0.973686*i159*i160 + 
     0.898825*i159*i161 + 0.786628*i159*i162 + 0.652681*i159*i163 + 0.513417*
     i159*i164 + 0.382893*i159*i165 + 0.270721*i159*i166 + 0.18147*i159*i167 + 
     0.115325*i159*i168 + 0.069483*i159*i169 + 0.03969*i159*i170 + 0.021494*
     i159*i171 + 0.011035*i159*i172 + 0.005371*i159*i173 + 0.002479*i159*i174
      + 0.001084*i159*i175 + 0.00045*i159*i176 + 0.000177*i159*i177 + 6.6e-5*
     i159*i178 + 2.3e-5*i159*i179 + 0.189895*i179 + 0.5*sqr(i160) + 0.973686*
     i160*i161 + 0.898825*i160*i162 + 0.786628*i160*i163 + 0.652681*i160*i164
      + 0.513417*i160*i165 + 0.382893*i160*i166 + 0.270721*i160*i167 + 0.18147*
     i160*i168 + 0.115325*i160*i169 + 0.069483*i160*i170 + 0.03969*i160*i171 + 
     0.021494*i160*i172 + 0.011035*i160*i173 + 0.005371*i160*i174 + 0.002479*
     i160*i175 + 0.001084*i160*i176 + 0.00045*i160*i177 + 0.000177*i160*i178 + 
     6.6e-5*i160*i179 + 2.3e-5*i160*i180 + 0.163105*i180 + 0.5*sqr(i161) + 
     0.973686*i161*i162 + 0.898825*i161*i163 + 0.786628*i161*i164 + 0.652681*
     i161*i165 + 0.513417*i161*i166 + 0.382893*i161*i167 + 0.270721*i161*i168
      + 0.18147*i161*i169 + 0.115325*i161*i170 + 0.069483*i161*i171 + 0.03969*
     i161*i172 + 0.021494*i161*i173 + 0.011035*i161*i174 + 0.005371*i161*i175
      + 0.002479*i161*i176 + 0.001084*i161*i177 + 0.00045*i161*i178 + 0.000177*
     i161*i179 + 6.6e-5*i161*i180 + 2.3e-5*i161*i181 + 0.132726*i181 + 0.5*i162
     *i162 + 0.973686*i162*i163 + 0.898825*i162*i164 + 0.786628*i162*i165 + 
     0.652681*i162*i166 + 0.513417*i162*i167 + 0.382893*i162*i168 + 0.270721*
     i162*i169 + 0.18147*i162*i170 + 0.115325*i162*i171 + 0.069483*i162*i172 + 
     0.03969*i162*i173 + 0.021494*i162*i174 + 0.011035*i162*i175 + 0.005371*
     i162*i176 + 0.002479*i162*i177 + 0.001084*i162*i178 + 0.00045*i162*i179 + 
     0.000177*i162*i180 + 6.6e-5*i162*i181 + 2.3e-5*i162*i182 + 0.100104*i182
      + 0.5*sqr(i163) + 0.973686*i163*i164 + 0.898825*i163*i165 + 0.786628*i163
     *i166 + 0.652681*i163*i167 + 0.513417*i163*i168 + 0.382893*i163*i169 + 
     0.270721*i163*i170 + 0.18147*i163*i171 + 0.115325*i163*i172 + 0.069483*
     i163*i173 + 0.03969*i163*i174 + 0.021494*i163*i175 + 0.011035*i163*i176 + 
     0.005371*i163*i177 + 0.002479*i163*i178 + 0.001084*i163*i179 + 0.00045*
     i163*i180 + 0.000177*i163*i181 + 6.6e-5*i163*i182 + 2.3e-5*i163*i183 + 
     0.066569*i183 + 0.5*sqr(i164) + 0.973686*i164*i165 + 0.898825*i164*i166 + 
     0.786628*i164*i167 + 0.652681*i164*i168 + 0.513417*i164*i169 + 0.382893*
     i164*i170 + 0.270721*i164*i171 + 0.18147*i164*i172 + 0.115325*i164*i173 + 
     0.069483*i164*i174 + 0.03969*i164*i175 + 0.021494*i164*i176 + 0.011035*
     i164*i177 + 0.005371*i164*i178 + 0.002479*i164*i179 + 0.001084*i164*i180
      + 0.00045*i164*i181 + 0.000177*i164*i182 + 6.6e-5*i164*i183 + 2.3e-5*i164
     *i184 + 0.033402*i184 + 0.5*sqr(i165) + 0.973686*i165*i166 + 0.898825*i165
     *i167 + 0.786628*i165*i168 + 0.652681*i165*i169 + 0.513417*i165*i170 + 
     0.382893*i165*i171 + 0.270721*i165*i172 + 0.18147*i165*i173 + 0.115325*
     i165*i174 + 0.069483*i165*i175 + 0.03969*i165*i176 + 0.021494*i165*i177 + 
     0.011035*i165*i178 + 0.005371*i165*i179 + 0.002479*i165*i180 + 0.001084*
     i165*i181 + 0.00045*i165*i182 + 0.000177*i165*i183 + 6.6e-5*i165*i184 + 
     2.3e-5*i165*i185 + 0.001789*i185 + 0.5*sqr(i166) + 0.973686*i166*i167 + 
     0.898825*i166*i168 + 0.786628*i166*i169 + 0.652681*i166*i170 + 0.513417*
     i166*i171 + 0.382893*i166*i172 + 0.270721*i166*i173 + 0.18147*i166*i174 + 
     0.115325*i166*i175 + 0.069483*i166*i176 + 0.03969*i166*i177 + 0.021494*
     i166*i178 + 0.011035*i166*i179 + 0.005371*i166*i180 + 0.002479*i166*i181
      + 0.001084*i166*i182 + 0.00045*i166*i183 + 0.000177*i166*i184 + 6.6e-5*
     i166*i185 + 2.3e-5*i166*i186 - 0.027203*i186 + 0.5*sqr(i167) + 0.973686*
     i167*i168 + 0.898825*i167*i169 + 0.786628*i167*i170 + 0.652681*i167*i171
      + 0.513417*i167*i172 + 0.382893*i167*i173 + 0.270721*i167*i174 + 0.18147*
     i167*i175 + 0.115325*i167*i176 + 0.069483*i167*i177 + 0.03969*i167*i178 + 
     0.021494*i167*i179 + 0.011035*i167*i180 + 0.005371*i167*i181 + 0.002479*
     i167*i182 + 0.001084*i167*i183 + 0.00045*i167*i184 + 0.000177*i167*i185 + 
     6.6e-5*i167*i186 + 2.3e-5*i167*i187 - 0.052664*i187 + 0.5*sqr(i168) + 
     0.973686*i168*i169 + 0.898825*i168*i170 + 0.786628*i168*i171 + 0.652681*
     i168*i172 + 0.513417*i168*i173 + 0.382893*i168*i174 + 0.270721*i168*i175
      + 0.18147*i168*i176 + 0.115325*i168*i177 + 0.069483*i168*i178 + 0.03969*
     i168*i179 + 0.021494*i168*i180 + 0.011035*i168*i181 + 0.005371*i168*i182
      + 0.002479*i168*i183 + 0.001084*i168*i184 + 0.00045*i168*i185 + 0.000177*
     i168*i186 + 6.6e-5*i168*i187 + 2.3e-5*i168*i188 - 0.073855*i188 + 0.5*i169
     *i169 + 0.973686*i169*i170 + 0.898825*i169*i171 + 0.786628*i169*i172 + 
     0.652681*i169*i173 + 0.513417*i169*i174 + 0.382893*i169*i175 + 0.270721*
     i169*i176 + 0.18147*i169*i177 + 0.115325*i169*i178 + 0.069483*i169*i179 + 
     0.03969*i169*i180 + 0.021494*i169*i181 + 0.011035*i169*i182 + 0.005371*
     i169*i183 + 0.002479*i169*i184 + 0.001084*i169*i185 + 0.00045*i169*i186 + 
     0.000177*i169*i187 + 6.6e-5*i169*i188 + 2.3e-5*i169*i189 - 0.090232*i189
      + 0.5*sqr(i170) + 0.973686*i170*i171 + 0.898825*i170*i172 + 0.786628*i170
     *i173 + 0.652681*i170*i174 + 0.513417*i170*i175 + 0.382893*i170*i176 + 
     0.270721*i170*i177 + 0.18147*i170*i178 + 0.115325*i170*i179 + 0.069483*
     i170*i180 + 0.03969*i170*i181 + 0.021494*i170*i182 + 0.011035*i170*i183 + 
     0.005371*i170*i184 + 0.002479*i170*i185 + 0.001084*i170*i186 + 0.00045*
     i170*i187 + 0.000177*i170*i188 + 6.6e-5*i170*i189 + 2.3e-5*i170*i190 - 
     0.101447*i190 + 0.5*sqr(i171) + 0.973686*i171*i172 + 0.898825*i171*i173 + 
     0.786628*i171*i174 + 0.652681*i171*i175 + 0.513417*i171*i176 + 0.382893*
     i171*i177 + 0.270721*i171*i178 + 0.18147*i171*i179 + 0.115325*i171*i180 + 
     0.069483*i171*i181 + 0.03969*i171*i182 + 0.021494*i171*i183 + 0.011035*
     i171*i184 + 0.005371*i171*i185 + 0.002479*i171*i186 + 0.001084*i171*i187
      + 0.00045*i171*i188 + 0.000177*i171*i189 + 6.6e-5*i171*i190 + 2.3e-5*i171
     *i191 - 0.107358*i191 + 0.5*sqr(i172) + 0.973686*i172*i173 + 0.898825*i172
     *i174 + 0.786628*i172*i175 + 0.652681*i172*i176 + 0.513417*i172*i177 + 
     0.382893*i172*i178 + 0.270721*i172*i179 + 0.18147*i172*i180 + 0.115325*
     i172*i181 + 0.069483*i172*i182 + 0.03969*i172*i183 + 0.021494*i172*i184 + 
     0.011035*i172*i185 + 0.005371*i172*i186 + 0.002479*i172*i187 + 0.001084*
     i172*i188 + 0.00045*i172*i189 + 0.000177*i172*i190 + 6.6e-5*i172*i191 + 
     2.3e-5*i172*i192 - 0.108018*i192 + 0.5*sqr(i173) + 0.973686*i173*i174 + 
     0.898825*i173*i175 + 0.786628*i173*i176 + 0.652681*i173*i177 + 0.513417*
     i173*i178 + 0.382893*i173*i179 + 0.270721*i173*i180 + 0.18147*i173*i181 + 
     0.115325*i173*i182 + 0.069483*i173*i183 + 0.03969*i173*i184 + 0.021494*
     i173*i185 + 0.011035*i173*i186 + 0.005371*i173*i187 + 0.002479*i173*i188
      + 0.001084*i173*i189 + 0.00045*i173*i190 + 0.000177*i173*i191 + 6.6e-5*
     i173*i192 + 2.3e-5*i173*i193 - 0.10367*i193 + 0.5*sqr(i174) + 0.973686*
     i174*i175 + 0.898825*i174*i176 + 0.786628*i174*i177 + 0.652681*i174*i178
      + 0.513417*i174*i179 + 0.382893*i174*i180 + 0.270721*i174*i181 + 0.18147*
     i174*i182 + 0.115325*i174*i183 + 0.069483*i174*i184 + 0.03969*i174*i185 + 
     0.021494*i174*i186 + 0.011035*i174*i187 + 0.005371*i174*i188 + 0.002479*
     i174*i189 + 0.001084*i174*i190 + 0.00045*i174*i191 + 0.000177*i174*i192 + 
     6.6e-5*i174*i193 + 2.3e-5*i174*i194 - 0.094723*i194 + 0.5*sqr(i175) + 
     0.973686*i175*i176 + 0.898825*i175*i177 + 0.786628*i175*i178 + 0.652681*
     i175*i179 + 0.513417*i175*i180 + 0.382893*i175*i181 + 0.270721*i175*i182
      + 0.18147*i175*i183 + 0.115325*i175*i184 + 0.069483*i175*i185 + 0.03969*
     i175*i186 + 0.021494*i175*i187 + 0.011035*i175*i188 + 0.005371*i175*i189
      + 0.002479*i175*i190 + 0.001084*i175*i191 + 0.00045*i175*i192 + 0.000177*
     i175*i193 + 6.6e-5*i175*i194 + 2.3e-5*i175*i195 - 0.081738*i195 + 0.5*i176
     *i176 + 0.973686*i176*i177 + 0.898825*i176*i178 + 0.786628*i176*i179 + 
     0.652681*i176*i180 + 0.513417*i176*i181 + 0.382893*i176*i182 + 0.270721*
     i176*i183 + 0.18147*i176*i184 + 0.115325*i176*i185 + 0.069483*i176*i186 + 
     0.03969*i176*i187 + 0.021494*i176*i188 + 0.011035*i176*i189 + 0.005371*
     i176*i190 + 0.002479*i176*i191 + 0.001084*i176*i192 + 0.00045*i176*i193 + 
     0.000177*i176*i194 + 6.6e-5*i176*i195 + 2.3e-5*i176*i196 - 0.065395*i196
      + 0.5*sqr(i177) + 0.973686*i177*i178 + 0.898825*i177*i179 + 0.786628*i177
     *i180 + 0.652681*i177*i181 + 0.513417*i177*i182 + 0.382893*i177*i183 + 
     0.270721*i177*i184 + 0.18147*i177*i185 + 0.115325*i177*i186 + 0.069483*
     i177*i187 + 0.03969*i177*i188 + 0.021494*i177*i189 + 0.011035*i177*i190 + 
     0.005371*i177*i191 + 0.002479*i177*i192 + 0.001084*i177*i193 + 0.00045*
     i177*i194 + 0.000177*i177*i195 + 6.6e-5*i177*i196 + 2.3e-5*i177*i197 - 
     0.046468*i197 + 0.5*sqr(i178) + 0.973686*i178*i179 + 0.898825*i178*i180 + 
     0.786628*i178*i181 + 0.652681*i178*i182 + 0.513417*i178*i183 + 0.382893*
     i178*i184 + 0.270721*i178*i185 + 0.18147*i178*i186 + 0.115325*i178*i187 + 
     0.069483*i178*i188 + 0.03969*i178*i189 + 0.021494*i178*i190 + 0.011035*
     i178*i191 + 0.005371*i178*i192 + 0.002479*i178*i193 + 0.001084*i178*i194
      + 0.00045*i178*i195 + 0.000177*i178*i196 + 6.6e-5*i178*i197 + 2.3e-5*i178
     *i198 - 0.025791*i198 + 0.5*sqr(i179) + 0.973686*i179*i180 + 0.898825*i179
     *i181 + 0.786628*i179*i182 + 0.652681*i179*i183 + 0.513417*i179*i184 + 
     0.382893*i179*i185 + 0.270721*i179*i186 + 0.18147*i179*i187 + 0.115325*
     i179*i188 + 0.069483*i179*i189 + 0.03969*i179*i190 + 0.021494*i179*i191 + 
     0.011035*i179*i192 + 0.005371*i179*i193 + 0.002479*i179*i194 + 0.001084*
     i179*i195 + 0.00045*i179*i196 + 0.000177*i179*i197 + 6.6e-5*i179*i198 + 
     2.3e-5*i179*i199 - 0.004227*i199 + 0.5*sqr(i180) + 0.973686*i180*i181 + 
     0.898825*i180*i182 + 0.786628*i180*i183 + 0.652681*i180*i184 + 0.513417*
     i180*i185 + 0.382893*i180*i186 + 0.270721*i180*i187 + 0.18147*i180*i188 + 
     0.115325*i180*i189 + 0.069483*i180*i190 + 0.03969*i180*i191 + 0.021494*
     i180*i192 + 0.011035*i180*i193 + 0.005371*i180*i194 + 0.002479*i180*i195
      + 0.001084*i180*i196 + 0.00045*i180*i197 + 0.000177*i180*i198 + 6.6e-5*
     i180*i199 + 2.3e-5*i180*i200 + 0.017364*i200 + 0.5*sqr(i181) + 0.973686*
     i181*i182 + 0.898825*i181*i183 + 0.786628*i181*i184 + 0.652681*i181*i185
      + 0.513417*i181*i186 + 0.382893*i181*i187 + 0.270721*i181*i188 + 0.18147*
     i181*i189 + 0.115325*i181*i190 + 0.069483*i181*i191 + 0.03969*i181*i192 + 
     0.021494*i181*i193 + 0.011035*i181*i194 + 0.005371*i181*i195 + 0.002479*
     i181*i196 + 0.001084*i181*i197 + 0.00045*i181*i198 + 0.000177*i181*i199 + 
     6.6e-5*i181*i200 + 2.3e-5*i181*i201 + 0.038159*i201 + 0.5*sqr(i182) + 
     0.973686*i182*i183 + 0.898825*i182*i184 + 0.786628*i182*i185 + 0.652681*
     i182*i186 + 0.513417*i182*i187 + 0.382893*i182*i188 + 0.270721*i182*i189
      + 0.18147*i182*i190 + 0.115325*i182*i191 + 0.069483*i182*i192 + 0.03969*
     i182*i193 + 0.021494*i182*i194 + 0.011035*i182*i195 + 0.005371*i182*i196
      + 0.002479*i182*i197 + 0.001084*i182*i198 + 0.00045*i182*i199 + 0.000177*
     i182*i200 + 6.6e-5*i182*i201 + 2.3e-5*i182*i202 + 0.057396*i202 + 0.5*i183
     *i183 + 0.973686*i183*i184 + 0.898825*i183*i185 + 0.786628*i183*i186 + 
     0.652681*i183*i187 + 0.513417*i183*i188 + 0.382893*i183*i189 + 0.270721*
     i183*i190 + 0.18147*i183*i191 + 0.115325*i183*i192 + 0.069483*i183*i193 + 
     0.03969*i183*i194 + 0.021494*i183*i195 + 0.011035*i183*i196 + 0.005371*
     i183*i197 + 0.002479*i183*i198 + 0.001084*i183*i199 + 0.00045*i183*i200 + 
     0.000177*i183*i201 + 6.6e-5*i183*i202 + 2.3e-5*i183*i203 + 0.074402*i203
      + 0.5*sqr(i184) + 0.973686*i184*i185 + 0.898825*i184*i186 + 0.786628*i184
     *i187 + 0.652681*i184*i188 + 0.513417*i184*i189 + 0.382893*i184*i190 + 
     0.270721*i184*i191 + 0.18147*i184*i192 + 0.115325*i184*i193 + 0.069483*
     i184*i194 + 0.03969*i184*i195 + 0.021494*i184*i196 + 0.011035*i184*i197 + 
     0.005371*i184*i198 + 0.002479*i184*i199 + 0.001084*i184*i200 + 0.00045*
     i184*i201 + 0.000177*i184*i202 + 6.6e-5*i184*i203 + 0.5*sqr(i185) + 
     0.973686*i185*i186 + 0.898825*i185*i187 + 0.786628*i185*i188 + 0.652681*
     i185*i189 + 0.513417*i185*i190 + 0.382893*i185*i191 + 0.270721*i185*i192
      + 0.18147*i185*i193 + 0.115325*i185*i194 + 0.069483*i185*i195 + 0.03969*
     i185*i196 + 0.021494*i185*i197 + 0.011035*i185*i198 + 0.005371*i185*i199
      + 0.002479*i185*i200 + 0.001084*i185*i201 + 0.00045*i185*i202 + 0.000177*
     i185*i203 + 0.5*sqr(i186) + 0.973686*i186*i187 + 0.898825*i186*i188 + 
     0.786628*i186*i189 + 0.652681*i186*i190 + 0.513417*i186*i191 + 0.382893*
     i186*i192 + 0.270721*i186*i193 + 0.18147*i186*i194 + 0.115325*i186*i195 + 
     0.069483*i186*i196 + 0.03969*i186*i197 + 0.021494*i186*i198 + 0.011035*
     i186*i199 + 0.005371*i186*i200 + 0.002479*i186*i201 + 0.001084*i186*i202
      + 0.00045*i186*i203 + 0.5*sqr(i187) + 0.973686*i187*i188 + 0.898825*i187*
     i189 + 0.786628*i187*i190 + 0.652681*i187*i191 + 0.513417*i187*i192 + 
     0.382893*i187*i193 + 0.270721*i187*i194 + 0.18147*i187*i195 + 0.115325*
     i187*i196 + 0.069483*i187*i197 + 0.03969*i187*i198 + 0.021494*i187*i199 + 
     0.011035*i187*i200 + 0.005371*i187*i201 + 0.002479*i187*i202 + 0.001084*
     i187*i203 + 0.5*sqr(i188) + 0.973686*i188*i189 + 0.898825*i188*i190 + 
     0.786628*i188*i191 + 0.652681*i188*i192 + 0.513417*i188*i193 + 0.382893*
     i188*i194 + 0.270721*i188*i195 + 0.18147*i188*i196 + 0.115325*i188*i197 + 
     0.069483*i188*i198 + 0.03969*i188*i199 + 0.021494*i188*i200 + 0.011035*
     i188*i201 + 0.005371*i188*i202 + 0.002479*i188*i203 + 0.5*sqr(i189) + 
     0.973686*i189*i190 + 0.898825*i189*i191 + 0.786628*i189*i192 + 0.652681*
     i189*i193 + 0.513417*i189*i194 + 0.382893*i189*i195 + 0.270721*i189*i196
      + 0.18147*i189*i197 + 0.115325*i189*i198 + 0.069483*i189*i199 + 0.03969*
     i189*i200 + 0.021494*i189*i201 + 0.011035*i189*i202 + 0.005371*i189*i203
      + 0.5*sqr(i190) + 0.973686*i190*i191 + 0.898825*i190*i192 + 0.786628*i190
     *i193 + 0.652681*i190*i194 + 0.513417*i190*i195 + 0.382893*i190*i196 + 
     0.270721*i190*i197 + 0.18147*i190*i198 + 0.115325*i190*i199 + 0.069483*
     i190*i200 + 0.03969*i190*i201 + 0.021494*i190*i202 + 0.011035*i190*i203 + 
     0.5*sqr(i191) + 0.973686*i191*i192 + 0.898825*i191*i193 + 0.786628*i191*
     i194 + 0.652681*i191*i195 + 0.513417*i191*i196 + 0.382893*i191*i197 + 
     0.270721*i191*i198 + 0.18147*i191*i199 + 0.115325*i191*i200 + 0.069483*
     i191*i201 + 0.03969*i191*i202 + 0.021494*i191*i203 + 0.5*sqr(i192) + 
     0.973686*i192*i193 + 0.898825*i192*i194 + 0.786628*i192*i195 + 0.652681*
     i192*i196 + 0.513417*i192*i197 + 0.382893*i192*i198 + 0.270721*i192*i199
      + 0.18147*i192*i200 + 0.115325*i192*i201 + 0.069483*i192*i202 + 0.03969*
     i192*i203 + 0.5*sqr(i193) + 0.973686*i193*i194 + 0.898825*i193*i195 + 
     0.786628*i193*i196 + 0.652681*i193*i197 + 0.513417*i193*i198 + 0.382893*
     i193*i199 + 0.270721*i193*i200 + 0.18147*i193*i201 + 0.115325*i193*i202 + 
     0.069483*i193*i203 + 0.5*sqr(i194) + 0.973686*i194*i195 + 0.898825*i194*
     i196 + 0.786628*i194*i197 + 0.652681*i194*i198 + 0.513417*i194*i199 + 
     0.382893*i194*i200 + 0.270721*i194*i201 + 0.18147*i194*i202 + 0.115325*
     i194*i203 + 0.5*sqr(i195) + 0.973686*i195*i196 + 0.898825*i195*i197 + 
     0.786628*i195*i198 + 0.652681*i195*i199 + 0.513417*i195*i200 + 0.382893*
     i195*i201 + 0.270721*i195*i202 + 0.18147*i195*i203 + 0.5*sqr(i196) + 
     0.973686*i196*i197 + 0.898825*i196*i198 + 0.786628*i196*i199 + 0.652681*
     i196*i200 + 0.513417*i196*i201 + 0.382893*i196*i202 + 0.270721*i196*i203
      + 0.5*sqr(i197) + 0.973686*i197*i198 + 0.898825*i197*i199 + 0.786628*i197
     *i200 + 0.652681*i197*i201 + 0.513417*i197*i202 + 0.382893*i197*i203 + 0.5
     *sqr(i198) + 0.973686*i198*i199 + 0.898825*i198*i200 + 0.786628*i198*i201
      + 0.652681*i198*i202 + 0.513417*i198*i203 + 0.5*sqr(i199) + 0.973686*i199
     *i200 + 0.898825*i199*i201 + 0.786628*i199*i202 + 0.652681*i199*i203 + 0.5
     *sqr(i200) + 0.973686*i200*i201 + 0.898825*i200*i202 + 0.786628*i200*i203
      + 0.5*sqr(i201) + 0.973686*i201*i202 + 0.898825*i201*i203 + 0.5*sqr(i202)
      + 0.973686*i202*i203 + 0.5*sqr(i203) - objvar =E= 0;

e2..    i2 + i3 + i4 + i5 + i6 + i7 + i8 + i9 + i10 + i11 + i12 + i13 + i14
      + i15 + i16 + i17 + i18 + i19 + i20 + i21 + i22 + i23 + i24 + i25 + i26
      + i27 + i28 + i29 + i30 + i31 + i32 + i33 + i34 + i35 + i36 + i37 + i38
      + i39 + i40 + i41 + i42 + i43 + i44 + i45 + i46 + i47 + i48 + i49 + i50
      + i51 + i52 + i53 + i54 + i55 + i56 + i57 + i58 + i59 + i60 + i61 + i62
      + i63 + i64 + i65 + i66 + i67 + i68 + i69 + i70 + i71 + i72 + i73 + i74
      + i75 + i76 + i77 + i78 + i79 + i80 + i81 + i82 + i83 + i84 + i85 + i86
      + i87 + i88 + i89 + i90 + i91 + i92 + i93 + i94 + i95 + i96 + i97 + i98
      + i99 + i100 + i101 + i102 - i103 - i104 - i105 - i106 - i107 - i108
      - i109 - i110 - i111 - i112 - i113 - i114 - i115 - i116 - i117 - i118
      - i119 - i120 - i121 - i122 - i123 - i124 - i125 - i126 - i127 - i128
      - i129 - i130 - i131 - i132 - i133 - i134 - i135 - i136 - i137 - i138
      - i139 - i140 - i141 - i142 - i143 - i144 - i145 - i146 - i147 - i148
      - i149 - i150 - i151 - i152 - i153 - i154 - i155 - i156 - i157 - i158
      - i159 - i160 - i161 - i162 - i163 - i164 - i165 - i166 - i167 - i168
      - i169 - i170 - i171 - i172 - i173 - i174 - i175 - i176 - i177 - i178
      - i179 - i180 - i181 - i182 - i183 - i184 - i185 - i186 - i187 - i188
      - i189 - i190 - i191 - i192 - i193 - i194 - i195 - i196 - i197 - i198
      - i199 - i200 - i201 - i202 - i203 =E= 0;

* set non-default bounds
i2.up = 10;
i3.up = 10;
i4.up = 10;
i5.up = 10;
i6.up = 10;
i7.up = 10;
i8.up = 10;
i9.up = 10;
i10.up = 10;
i11.up = 10;
i12.up = 10;
i13.up = 10;
i14.up = 10;
i15.up = 10;
i16.up = 10;
i17.up = 10;
i18.up = 10;
i19.up = 10;
i20.up = 10;
i21.up = 10;
i22.up = 10;
i23.up = 10;
i24.up = 10;
i25.up = 10;
i26.up = 10;
i27.up = 10;
i28.up = 10;
i29.up = 10;
i30.up = 10;
i31.up = 10;
i32.up = 10;
i33.up = 10;
i34.up = 10;
i35.up = 10;
i36.up = 10;
i37.up = 10;
i38.up = 10;
i39.up = 10;
i40.up = 10;
i41.up = 10;
i42.up = 10;
i43.up = 10;
i44.up = 10;
i45.up = 10;
i46.up = 10;
i47.up = 10;
i48.up = 10;
i49.up = 10;
i50.up = 10;
i51.up = 10;
i52.up = 10;
i53.up = 10;
i54.up = 10;
i55.up = 10;
i56.up = 10;
i57.up = 10;
i58.up = 10;
i59.up = 10;
i60.up = 10;
i61.up = 10;
i62.up = 10;
i63.up = 10;
i64.up = 10;
i65.up = 10;
i66.up = 10;
i67.up = 10;
i68.up = 10;
i69.up = 10;
i70.up = 10;
i71.up = 10;
i72.up = 10;
i73.up = 10;
i74.up = 10;
i75.up = 10;
i76.up = 10;
i77.up = 10;
i78.up = 10;
i79.up = 10;
i80.up = 10;
i81.up = 10;
i82.up = 10;
i83.up = 10;
i84.up = 10;
i85.up = 10;
i86.up = 10;
i87.up = 10;
i88.up = 10;
i89.up = 10;
i90.up = 10;
i91.up = 10;
i92.up = 10;
i93.up = 10;
i94.up = 10;
i95.up = 10;
i96.up = 10;
i97.up = 10;
i98.up = 10;
i99.up = 10;
i100.up = 10;
i101.up = 10;
i102.up = 10;
i103.up = 10;
i104.up = 10;
i105.up = 10;
i106.up = 10;
i107.up = 10;
i108.up = 10;
i109.up = 10;
i110.up = 10;
i111.up = 10;
i112.up = 10;
i113.up = 10;
i114.up = 10;
i115.up = 10;
i116.up = 10;
i117.up = 10;
i118.up = 10;
i119.up = 10;
i120.up = 10;
i121.up = 10;
i122.up = 10;
i123.up = 10;
i124.up = 10;
i125.up = 10;
i126.up = 10;
i127.up = 10;
i128.up = 10;
i129.up = 10;
i130.up = 10;
i131.up = 10;
i132.up = 10;
i133.up = 10;
i134.up = 10;
i135.up = 10;
i136.up = 10;
i137.up = 10;
i138.up = 10;
i139.up = 10;
i140.up = 10;
i141.up = 10;
i142.up = 10;
i143.up = 10;
i144.up = 10;
i145.up = 10;
i146.up = 10;
i147.up = 10;
i148.up = 10;
i149.up = 10;
i150.up = 10;
i151.up = 10;
i152.up = 10;
i153.up = 10;
i154.up = 10;
i155.up = 10;
i156.up = 10;
i157.up = 10;
i158.up = 10;
i159.up = 10;
i160.up = 10;
i161.up = 10;
i162.up = 10;
i163.up = 10;
i164.up = 10;
i165.up = 10;
i166.up = 10;
i167.up = 10;
i168.up = 10;
i169.up = 10;
i170.up = 10;
i171.up = 10;
i172.up = 10;
i173.up = 10;
i174.up = 10;
i175.up = 10;
i176.up = 10;
i177.up = 10;
i178.up = 10;
i179.up = 10;
i180.up = 10;
i181.up = 10;
i182.up = 10;
i183.up = 10;
i184.up = 10;
i185.up = 10;
i186.up = 10;
i187.up = 10;
i188.up = 10;
i189.up = 10;
i190.up = 10;
i191.up = 10;
i192.up = 10;
i193.up = 10;
i194.up = 10;
i195.up = 10;
i196.up = 10;
i197.up = 10;
i198.up = 10;
i199.up = 10;
i200.up = 10;
i201.up = 10;
i202.up = 10;
i203.up = 10;

Model m / all /;

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

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

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





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