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Instance portfol_shortfall050_68

Formats ams gms lp mod nl osil pip py
Primal Bounds (infeas ≤ 1e-08)
-1.09720374 p1 ( gdx sol )
(infeas: 1e-16)
Other points (infeas > 1e-08)  
Dual Bounds
-1.09720565 (ANTIGONE)
-1.09720374 (BARON)
-1.11820065 (COUENNE)
-1.09720374 (CPLEX)
-1.09720431 (GUROBI)
-1.09720374 (LINDO)
-1.09720380 (SCIP)
-1.22312000 (SHOT)
References Vielma, Juan Pablo, Ahmed, S, and Nemhauser, G L, A Lifted Linear Programming Branch-and-Bound Algorithm for Mixed Integer Conic Quadratic Programs, INFORMS Journal on Computing, 20:3, 2008, 438-450.
Source Juan Pablo Vielma Portfolio Optimization Instances Testset
Application Portfolio Optimization
Added to library 01 Mar 2014
Problem type MBQCP
#Variables 204
#Binary Variables 51
#Integer Variables 0
#Nonlinear Variables 102
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 51
#Nonlinear Nonzeros in Objective 0
#Constraints 157
#Linear Constraints 155
#Quadratic Constraints 2
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 5510
#Nonlinear Nonzeros in Jacobian 102
#Nonzeros in (Upper-Left) Hessian of Lagrangian 102
#Nonzeros in Diagonal of Hessian of Lagrangian 102
#Blocks in Hessian of Lagrangian 102
Minimal blocksize in Hessian of Lagrangian 1
Maximal blocksize in Hessian of Lagrangian 1
Average blocksize in Hessian of Lagrangian 1.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 8.2181e-07
Maximal coefficient 1.8703e+00
Infeasibility of initial point 1
Sparsity Jacobian Sparsity of Objective Gradient and Jacobian
Sparsity Hessian of Lagrangian Sparsity of Hessian of Lagrangian

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*        158      104        0       54        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        205      154       51        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       5562     5460      102        0
*
*  Solve m using MINLP minimizing objvar;


Variables  objvar,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18
          ,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35
          ,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52
          ,x53,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69
          ,x70,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86
          ,x87,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102
          ,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115
          ,x116,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128
          ,x129,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140,x141
          ,x142,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154
          ,b155,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166,b167
          ,b168,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179,b180
          ,b181,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192,b193
          ,b194,b195,b196,b197,b198,b199,b200,b201,b202,b203,b204,b205;

Positive Variables  x52,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113
          ,x114,x115,x116,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126
          ,x127,x128,x129,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139
          ,x140,x141,x142,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152
          ,x153,x154;

Binary Variables  b155,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166
          ,b167,b168,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179
          ,b180,b181,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192
          ,b193,b194,b195,b196,b197,b198,b199,b200,b201,b202,b203,b204,b205;

Equations  e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
          ,e20,e21,e22,e23,e24,e25,e26,e27,e28,e29,e30,e31,e32,e33,e34,e35,e36
          ,e37,e38,e39,e40,e41,e42,e43,e44,e45,e46,e47,e48,e49,e50,e51,e52,e53
          ,e54,e55,e56,e57,e58,e59,e60,e61,e62,e63,e64,e65,e66,e67,e68,e69,e70
          ,e71,e72,e73,e74,e75,e76,e77,e78,e79,e80,e81,e82,e83,e84,e85,e86,e87
          ,e88,e89,e90,e91,e92,e93,e94,e95,e96,e97,e98,e99,e100,e101,e102,e103
          ,e104,e105,e106,e107,e108,e109,e110,e111,e112,e113,e114,e115,e116
          ,e117,e118,e119,e120,e121,e122,e123,e124,e125,e126,e127,e128,e129
          ,e130,e131,e132,e133,e134,e135,e136,e137,e138,e139,e140,e141,e142
          ,e143,e144,e145,e146,e147,e148,e149,e150,e151,e152,e153,e154,e155
          ,e156,e157,e158;


e1..  - objvar - 1.01354*x104 - 1.03678*x105 - 1.02537*x106 - 1.20097*x107
      - 1.0486*x108 - 1.04423*x109 - 1.02352*x110 - 1.05457*x111 - 1.00423*x112
      - 1.01635*x113 - 1.03168*x114 - 1.03898*x115 - 1.07423*x116
      - 1.02661*x117 - 1.03832*x118 - 1.07971*x119 - 1.00361*x120
      - 1.05973*x121 - 1.12325*x122 - 1.22312*x123 - 1.08029*x124
      - 1.14925*x125 - 1.09365*x126 - 1.02842*x127 - 1.01159*x128
      - 1.03784*x129 - 1.07922*x130 - 1.06787*x131 - 1.04395*x132
      - 1.01316*x133 - 1.06574*x134 - 1.03358*x135 - 1.0358*x136 - 1.04596*x137
      - 1.0449*x138 - 1.08528*x139 - 1.02563*x140 - 1.18805*x141 - 1.01253*x142
      - 1.03998*x143 - 1.03411*x144 - 1.01622*x145 - 1.04489*x146
      - 1.07221*x147 - 1.03091*x148 - 1.02558*x149 - 1.0909*x150 - 1.04665*x151
      - 1.0206*x152 - 1.0418*x153 - x154 =E= 0;

e2.. x2*x2 + x3*x3 + x4*x4 + x5*x5 + x6*x6 + x7*x7 + x8*x8 + x9*x9 + x10*x10 + 
     x11*x11 + x12*x12 + x13*x13 + x14*x14 + x15*x15 + x16*x16 + x17*x17 + x18*
     x18 + x19*x19 + x20*x20 + x21*x21 + x22*x22 + x23*x23 + x24*x24 + x25*x25
      + x26*x26 + x27*x27 + x28*x28 + x29*x29 + x30*x30 + x31*x31 + x32*x32 + 
     x33*x33 + x34*x34 + x35*x35 + x36*x36 + x37*x37 + x38*x38 + x39*x39 + x40*
     x40 + x41*x41 + x42*x42 + x43*x43 + x44*x44 + x45*x45 + x46*x46 + x47*x47
      + x48*x48 + x49*x49 + x50*x50 + x51*x51 - x52*x52 =L= 0;

e3.. x53*x53 + x54*x54 + x55*x55 + x56*x56 + x57*x57 + x58*x58 + x59*x59 + x60*
     x60 + x61*x61 + x62*x62 + x63*x63 + x64*x64 + x65*x65 + x66*x66 + x67*x67
      + x68*x68 + x69*x69 + x70*x70 + x71*x71 + x72*x72 + x73*x73 + x74*x74 + 
     x75*x75 + x76*x76 + x77*x77 + x78*x78 + x79*x79 + x80*x80 + x81*x81 + x82*
     x82 + x83*x83 + x84*x84 + x85*x85 + x86*x86 + x87*x87 + x88*x88 + x89*x89
      + x90*x90 + x91*x91 + x92*x92 + x93*x93 + x94*x94 + x95*x95 + x96*x96 + 
     x97*x97 + x98*x98 + x99*x99 + x100*x100 + x101*x101 + x102*x102 - x103*
     x103 =L= 0;

e4..    x104 - b155 =L= 0;

e5..    x105 - b156 =L= 0;

e6..    x106 - b157 =L= 0;

e7..    x107 - b158 =L= 0;

e8..    x108 - b159 =L= 0;

e9..    x109 - b160 =L= 0;

e10..    x110 - b161 =L= 0;

e11..    x111 - b162 =L= 0;

e12..    x112 - b163 =L= 0;

e13..    x113 - b164 =L= 0;

e14..    x114 - b165 =L= 0;

e15..    x115 - b166 =L= 0;

e16..    x116 - b167 =L= 0;

e17..    x117 - b168 =L= 0;

e18..    x118 - b169 =L= 0;

e19..    x119 - b170 =L= 0;

e20..    x120 - b171 =L= 0;

e21..    x121 - b172 =L= 0;

e22..    x122 - b173 =L= 0;

e23..    x123 - b174 =L= 0;

e24..    x124 - b175 =L= 0;

e25..    x125 - b176 =L= 0;

e26..    x126 - b177 =L= 0;

e27..    x127 - b178 =L= 0;

e28..    x128 - b179 =L= 0;

e29..    x129 - b180 =L= 0;

e30..    x130 - b181 =L= 0;

e31..    x131 - b182 =L= 0;

e32..    x132 - b183 =L= 0;

e33..    x133 - b184 =L= 0;

e34..    x134 - b185 =L= 0;

e35..    x135 - b186 =L= 0;

e36..    x136 - b187 =L= 0;

e37..    x137 - b188 =L= 0;

e38..    x138 - b189 =L= 0;

e39..    x139 - b190 =L= 0;

e40..    x140 - b191 =L= 0;

e41..    x141 - b192 =L= 0;

e42..    x142 - b193 =L= 0;

e43..    x143 - b194 =L= 0;

e44..    x144 - b195 =L= 0;

e45..    x145 - b196 =L= 0;

e46..    x146 - b197 =L= 0;

e47..    x147 - b198 =L= 0;

e48..    x148 - b199 =L= 0;

e49..    x149 - b200 =L= 0;

e50..    x150 - b201 =L= 0;

e51..    x151 - b202 =L= 0;

e52..    x152 - b203 =L= 0;

e53..    x153 - b204 =L= 0;

e54..    x154 - b205 =L= 0;

e55..    x104 + x105 + x106 + x107 + x108 + x109 + x110 + x111 + x112 + x113
       + x114 + x115 + x116 + x117 + x118 + x119 + x120 + x121 + x122 + x123
       + x124 + x125 + x126 + x127 + x128 + x129 + x130 + x131 + x132 + x133
       + x134 + x135 + x136 + x137 + x138 + x139 + x140 + x141 + x142 + x143
       + x144 + x145 + x146 + x147 + x148 + x149 + x150 + x151 + x152 + x153
       + x154 =E= 1;

e56..    b155 + b156 + b157 + b158 + b159 + b160 + b161 + b162 + b163 + b164
       + b165 + b166 + b167 + b168 + b169 + b170 + b171 + b172 + b173 + b174
       + b175 + b176 + b177 + b178 + b179 + b180 + b181 + b182 + b183 + b184
       + b185 + b186 + b187 + b188 + b189 + b190 + b191 + b192 + b193 + b194
       + b195 + b196 + b197 + b198 + b199 + b200 + b201 + b202 + b203 + b204
       + b205 =L= 10;

e57..  - x2 + 0.160407*x104 + 0.00962811*x105 + 0.00680078*x106
       + 0.0141114*x107 + 0.0257753*x108 + 0.00643393*x109 + 0.00492718*x110
       + 0.00645073*x111 + 0.00547453*x112 + 0.00529705*x113 + 0.0217789*x114
       + 0.0226989*x115 + 0.0221514*x116 + 0.0124716*x117 + 0.031524*x118
       + 0.0109443*x119 + 0.0121041*x120 + 0.0158032*x121 + 0.020623*x122
       + 0.0247398*x123 + 0.00555761*x124 + 0.013993*x125 + 0.0123945*x126
       + 0.00751497*x127 + 0.0132948*x128 + 0.00745881*x129 + 0.0216777*x130
       + 0.00872975*x131 - 0.000770175*x132 + 0.011305*x133 + 0.0217047*x134
       + 0.0117556*x135 + 0.0180273*x136 + 0.0211422*x137 + 0.00668358*x138
       + 0.0181975*x139 + 0.00709243*x140 + 0.00859672*x141 + 0.0115741*x142
       - 0.00694494*x143 + 0.00906382*x144 + 0.0111948*x145 + 0.0134577*x146
       + 0.020476*x147 + 0.0242347*x148 + 0.00766303*x149 + 0.00997082*x150
       + 0.00526154*x151 + 0.0166389*x152 + 0.0216646*x153 =E= 0;

e58..  - x3 + 0.00962811*x104 + 0.21418*x105 - 0.00361858*x106 + 0.0276372*x107
       - 0.0116334*x108 + 0.0090996*x109 - 0.00145054*x110 + 0.00238954*x111
       + 0.00110369*x112 - 0.000726256*x113 + 0.00865265*x114 + 0.0185048*x115
       + 0.0224364*x116 + 0.0157876*x117 + 0.00772244*x118 + 0.00377253*x119
       + 0.0131366*x120 + 0.0073152*x121 + 0.00802072*x122 + 0.015776*x123
       + 0.00629412*x124 - 0.00517985*x125 + 0.0239066*x126 - 0.00423682*x127
       + 0.00987453*x128 + 0.0120167*x129 + 0.0121151*x130 + 0.0156074*x131
       + 0.0026476*x132 + 0.00253939*x133 + 0.0329922*x134 + 0.00807391*x135
       + 0.0226813*x136 + 0.00456857*x137 + 0.0116551*x138 + 0.0129448*x139
       + 0.0117844*x140 + 0.0022395*x141 + 0.00981037*x142 + 0.00259833*x143
       + 0.00174523*x144 + 0.00759206*x145 + 0.00592081*x146 + 0.0247839*x147
       + 0.0161217*x148 + 0.00882999*x149 + 0.0147758*x150 - 0.000853419*x151
       + 0.0132425*x152 + 0.010817*x153 =E= 0;

e59..  - x4 + 0.00680078*x104 - 0.00361858*x105 + 0.236518*x106
       + 0.0136338*x107 + 0.0109871*x108 + 0.0142272*x109 + 0.00623771*x110
       + 0.00490896*x111 + 0.00498021*x112 + 0.0053899*x113 + 0.0127437*x114
       + 0.00841583*x115 + 0.030441*x116 + 0.0129056*x117 + 0.0147802*x118
       + 0.0423844*x119 + 0.0151294*x120 + 0.0131933*x121 + 0.0200807*x122
       + 0.0279003*x123 + 0.00643464*x124 + 0.00627721*x125 + 0.0306725*x126
       + 0.00442841*x127 + 0.011752*x128 - 0.00801673*x129 + 0.0169625*x130
       + 0.0269001*x131 + 0.0103273*x132 + 0.0113292*x133 + 0.0240454*x134
       + 0.0189514*x135 + 0.00949704*x136 + 0.0104673*x137 + 0.0196672*x138
       + 0.00944151*x139 + 0.0144893*x140 + 0.0270936*x141 + 0.00794121*x142
       + 0.00183697*x143 + 0.0117643*x144 - 1.58485E-5*x145 + 0.00331206*x146
       + 0.0134164*x147 + 0.0099541*x148 + 0.0139781*x149 + 0.00503418*x150
       + 0.00655016*x151 + 0.0209718*x152 + 0.0191812*x153 =E= 0;

e60..  - x5 + 0.0141114*x104 + 0.0276372*x105 + 0.0136338*x106 + 0.777657*x107
       - 0.0060454*x108 + 0.0205819*x109 + 0.0312948*x110 + 0.00543859*x111
       + 0.0137799*x112 + 0.0127436*x113 + 0.0192609*x114 + 0.00945066*x115
       + 0.0168844*x116 + 0.0084083*x117 - 0.00254788*x118 + 0.00292224*x119
       - 0.00264025*x120 + 0.0174032*x121 - 0.00640496*x122 + 0.0145218*x123
       + 0.0129024*x124 - 0.0119786*x125 + 0.0176375*x126 + 0.0210136*x127
       + 0.000607512*x128 - 0.0146154*x129 + 0.0520015*x130 + 0.0173077*x131
       + 0.0164925*x132 + 0.0083242*x133 - 0.0215875*x134 + 0.0133005*x135
       - 0.00593209*x136 + 0.0150202*x137 + 0.010448*x138 + 0.0126952*x139
       + 0.00268466*x140 + 0.0346056*x141 - 0.00759984*x142 + 0.015472*x143
       + 0.00890418*x144 - 0.000701475*x145 + 0.00585112*x146 + 0.0166383*x147
       - 0.00028602*x148 + 0.0447002*x149 + 0.00534355*x150 + 0.0122491*x151
       + 0.00916891*x152 + 0.012088*x153 =E= 0;

e61..  - x6 + 0.0257753*x104 - 0.0116334*x105 + 0.0109871*x106 - 0.0060454*x107
       + 0.334889*x108 + 0.0230584*x109 + 0.00478305*x110 + 0.00786442*x111
       + 0.00865279*x112 + 0.0157068*x113 + 0.00716543*x114 + 0.00772687*x115
       + 0.0178648*x116 + 0.0096034*x117 + 0.00861698*x118 + 0.0177412*x119
       + 0.00529573*x120 + 0.00763856*x121 + 0.0118577*x122 + 0.0201164*x123
       + 0.0136623*x124 + 0.0128484*x125 + 0.0021719*x126 + 0.0281112*x127
       + 0.00652843*x128 + 0.00212812*x129 + 0.0233312*x130 + 0.0129221*x131
       + 0.00492228*x132 + 0.0088443*x133 + 0.00588803*x134 + 0.0164469*x135
       + 0.0020111*x136 + 0.0104625*x137 + 0.0155519*x138 + 0.00463601*x139
       + 0.00581976*x140 + 0.0330301*x141 + 0.000725703*x142 - 0.00793098*x143
       + 0.0146162*x144 + 0.0141079*x145 + 0.00614278*x146 + 0.0201202*x147
       + 0.0158439*x148 - 0.00332651*x149 + 0.0189261*x150 + 0.00579586*x151
       + 0.00391977*x152 + 0.014376*x153 =E= 0;

e62..  - x7 + 0.00643393*x104 + 0.0090996*x105 + 0.0142272*x106
       + 0.0205819*x107 + 0.0230584*x108 + 0.197926*x109 + 0.0135648*x110
       + 0.0135377*x111 + 0.0124388*x112 + 0.0164572*x113 + 0.0222203*x114
       + 0.0236278*x115 + 0.0315737*x116 + 0.0183318*x117 + 0.0107826*x118
       + 0.0316233*x119 + 0.00268096*x120 + 0.0119269*x121 + 0.0303966*x122
       + 0.0454413*x123 + 0.019074*x124 + 0.0296039*x125 + 0.00805745*x126
       + 0.00782076*x127 + 0.0198368*x128 + 0.00190749*x129 + 0.0219374*x130
       + 0.00757434*x131 + 0.00920587*x132 + 0.00897941*x133 + 0.00993727*x134
       + 0.0159278*x135 + 0.0232848*x136 + 0.0269063*x137 + 0.0382082*x138
       + 0.0277226*x139 + 0.0055659*x140 + 0.0303748*x141 + 0.0154055*x142
       - 0.00266834*x143 + 0.0180767*x144 + 0.00967421*x145 + 0.0257456*x146
       + 0.0193113*x147 + 0.0134801*x148 + 0.0207282*x149 + 0.0042502*x150
       + 0.0184131*x151 + 0.0182866*x152 + 0.0273859*x153 =E= 0;

e63..  - x8 + 0.00492718*x104 - 0.00145054*x105 + 0.00623771*x106
       + 0.0312948*x107 + 0.00478305*x108 + 0.0135648*x109 + 0.182133*x110
       + 0.0165857*x111 + 0.0100979*x112 + 0.0118404*x113 + 0.00844725*x114
       + 0.00195017*x115 + 0.0123359*x116 + 0.00112301*x117 + 0.0014551*x118
       + 0.0227823*x119 + 0.00998221*x120 + 0.00918438*x121 + 0.0162825*x122
       - 0.000670936*x123 + 0.0130147*x124 + 0.00240458*x125 + 0.00303798*x126
       + 0.00915267*x127 + 0.00907776*x128 + 0.00309505*x129 + 0.00823806*x130
       + 0.013625*x131 + 0.0135985*x132 + 0.00646679*x133 + 0.00651633*x134
       + 0.0125127*x135 + 0.00567283*x136 + 0.0110189*x137 + 0.0234907*x138
       + 0.0139893*x139 - 0.00201783*x140 + 0.00135591*x141 + 0.0108721*x142
       + 0.00307526*x143 + 0.00210341*x144 + 0.00743862*x145 + 0.0151592*x146
       + 0.0141465*x147 + 0.00889262*x148 + 0.0238276*x149 - 0.000946049*x150
       + 0.0156742*x151 + 0.0101489*x152 + 0.00788336*x153 =E= 0;

e64..  - x9 + 0.00645073*x104 + 0.00238954*x105 + 0.00490896*x106
       + 0.00543859*x107 + 0.00786442*x108 + 0.0135377*x109 + 0.0165857*x110
       + 0.205326*x111 + 0.00260808*x112 + 0.0359275*x113 + 0.0134237*x114
       + 0.0174838*x115 + 0.0137145*x116 + 0.0256557*x117 + 0.00740455*x118
       + 0.0103908*x119 + 0.0075908*x120 + 0.0110948*x121 + 0.025077*x122
       + 0.00565586*x123 + 0.0121132*x124 + 0.0304802*x125 + 0.00507081*x126
       + 4.90321E-5*x127 + 0.00835925*x128 + 0.00592139*x129 + 0.00542844*x130
       + 0.00341025*x131 + 0.00438469*x132 + 0.0383818*x133 + 0.0162608*x134
       + 0.00370309*x135 + 0.0106211*x136 + 0.00533309*x137 + 0.0156722*x138
       + 0.0234584*x139 + 0.00567606*x140 - 0.0123358*x141 + 0.00432055*x142
       + 0.0118443*x143 + 0.00282576*x144 + 0.027509*x145 + 0.00682358*x146
       + 0.00208799*x147 + 0.0089472*x148 - 0.00112313*x149 + 0.0483519*x150
       + 0.11768*x151 + 0.00887314*x152 + 0.0207686*x153 =E= 0;

e65..  - x10 + 0.00547453*x104 + 0.00110369*x105 + 0.00498021*x106
       + 0.0137799*x107 + 0.00865279*x108 + 0.0124388*x109 + 0.0100979*x110
       + 0.00260808*x111 + 0.222362*x112 + 0.00610669*x113 + 0.0256819*x114
       + 0.00754806*x115 + 0.0173855*x116 + 0.0115117*x117 + 0.0158217*x118
       + 0.00469651*x119 + 0.0367019*x120 + 0.0036371*x121 + 0.0119859*x122
       + 0.0164215*x123 + 0.000366288*x124 + 0.0140022*x125 + 0.0205068*x126
       + 0.00269563*x127 + 0.0106155*x128 + 0.0411432*x129 + 0.0087366*x130
       + 0.0378604*x131 + 0.00695282*x132 + 0.00629752*x133 + 0.019673*x134
       - 0.00171818*x135 - 0.00126587*x136 + 0.0234131*x137 + 0.0223175*x138
       + 0.0145788*x139 + 0.00779508*x140 + 0.0261496*x141 + 0.0147571*x142
       + 0.000815089*x143 + 0.0157161*x144 + 0.0202152*x145 + 0.0131911*x146
       + 0.0214016*x147 + 0.0282411*x148 - 0.00133073*x149 + 0.00154601*x150
       + 0.00508181*x151 + 0.0137679*x152 + 0.00823817*x153 =E= 0;

e66..  - x11 + 0.00529705*x104 - 0.000726256*x105 + 0.0053899*x106
       + 0.0127436*x107 + 0.0157068*x108 + 0.0164572*x109 + 0.0118404*x110
       + 0.0359275*x111 + 0.00610669*x112 + 0.160039*x113 + 0.00921262*x114
       + 0.0179128*x115 + 0.0175236*x116 + 0.0127405*x117 + 0.00549788*x118
       - 0.00461937*x119 + 0.0053545*x120 + 0.00537834*x121 + 0.020656*x122
       + 0.0155004*x123 + 0.0167915*x124 + 0.0395814*x125 + 0.0150508*x126
       + 0.0188574*x127 + 0.0024849*x128 + 0.00680581*x129 + 0.00468293*x130
       + 0.00785674*x131 + 0.00404469*x132 + 0.0427761*x133 + 0.00626743*x134
       + 0.00916632*x135 + 0.0094479*x136 + 0.00336554*x137 + 0.00962913*x138
       + 0.0196714*x139 - 0.000998625*x140 - 0.00593986*x141 + 0.0102751*x142
       + 0.0205984*x143 + 0.00167821*x144 + 0.0364589*x145 + 0.00869501*x146
       + 0.0150803*x147 + 0.00674595*x148 + 0.0113268*x149 + 0.0128414*x150
       + 0.0400112*x151 + 0.00367186*x152 + 0.0118125*x153 =E= 0;

e67..  - x12 + 0.0217789*x104 + 0.00865265*x105 + 0.0127437*x106
       + 0.0192609*x107 + 0.00716543*x108 + 0.0222203*x109 + 0.00844725*x110
       + 0.0134237*x111 + 0.0256819*x112 + 0.00921262*x113 + 0.140535*x114
       + 0.0224961*x115 + 0.0215958*x116 + 0.00960081*x117 + 0.0155892*x118
       + 0.00844915*x119 + 0.00798032*x120 + 0.0149401*x121 + 0.00146244*x122
       + 0.00981924*x123 + 0.0148897*x124 + 0.0141194*x125 + 0.016902*x126
       + 0.00504698*x127 + 0.00917498*x128 + 0.000205375*x129 + 0.0105394*x130
       + 0.012544*x131 + 0.00726768*x132 + 0.0111282*x133 + 0.0174083*x134
       + 0.00341641*x135 + 0.0185133*x136 + 0.0286916*x137 + 0.0126075*x138
       + 0.00356847*x139 + 0.00745885*x140 + 0.0139257*x141 + 0.00603217*x142
       + 0.00502012*x143 + 0.0104933*x144 + 0.0181936*x145 + 0.0120769*x146
       + 0.0299444*x147 + 0.0236058*x148 + 0.00719184*x149 - 0.00304806*x150
       + 0.0151286*x151 + 0.0169771*x152 + 0.0184548*x153 =E= 0;

e68..  - x13 + 0.0226989*x104 + 0.0185048*x105 + 0.00841583*x106
       + 0.00945066*x107 + 0.00772687*x108 + 0.0236278*x109 + 0.00195017*x110
       + 0.0174838*x111 + 0.00754806*x112 + 0.0179128*x113 + 0.0224961*x114
       + 0.204648*x115 + 0.0314154*x116 + 0.00476472*x117 + 0.010742*x118
       + 0.0095391*x119 + 0.0105239*x120 + 0.00805011*x121 + 0.0158485*x122
       + 0.0199583*x123 + 0.0101883*x124 + 0.010332*x125 + 0.0162768*x126
       + 0.0065703*x127 - 0.000427975*x128 + 0.0242205*x129 + 0.00961636*x130
       + 0.0228651*x131 + 0.00470242*x132 + 0.0189371*x133 + 0.0325185*x134
       + 0.0201536*x135 + 0.0211805*x136 + 0.0303038*x137 + 0.0125687*x138
       + 0.0296485*x139 + 0.00714188*x140 + 0.0143395*x141 + 0.00580621*x142
       + 0.00357467*x143 + 0.00918813*x144 + 0.023016*x145 + 0.0267977*x146
       + 0.0209747*x147 + 0.0179783*x148 + 0.00874964*x149 - 0.000898835*x150
       + 0.0141259*x151 + 0.0115324*x152 + 0.0158619*x153 =E= 0;

e69..  - x14 + 0.0221514*x104 + 0.0224364*x105 + 0.030441*x106 + 0.0168844*x107
       + 0.0178648*x108 + 0.0315737*x109 + 0.0123359*x110 + 0.0137145*x111
       + 0.0173855*x112 + 0.0175236*x113 + 0.0215958*x114 + 0.0314154*x115
       + 0.414209*x116 + 0.0226705*x117 + 0.0521195*x118 + 0.0378506*x119
       + 0.020457*x120 + 0.0220919*x121 + 0.0399344*x122 + 0.0602296*x123
       + 0.0220493*x124 + 0.0832039*x125 + 0.0852742*x126 + 0.0010451*x127
       + 0.0117398*x128 + 0.0130855*x129 + 0.0323546*x130 + 0.0370998*x131
       + 0.0153091*x132 + 0.0111655*x133 + 0.0132216*x134 + 0.0261839*x135
       + 0.0270964*x136 + 0.0475537*x137 + 0.0246369*x138 + 0.0212171*x139
       + 0.0143747*x140 + 0.0404919*x141 + 0.0092024*x142 - 0.0108033*x143
       + 0.0106349*x144 + 0.0209758*x145 + 0.0480684*x146 + 0.0260192*x147
       + 0.0451572*x148 + 0.027167*x149 + 0.021948*x150 + 0.00956646*x151
       + 0.0270869*x152 + 0.05279*x153 =E= 0;

e70..  - x15 + 0.0124716*x104 + 0.0157876*x105 + 0.0129056*x106
       + 0.0084083*x107 + 0.0096034*x108 + 0.0183318*x109 + 0.00112301*x110
       + 0.0256557*x111 + 0.0115117*x112 + 0.0127405*x113 + 0.00960081*x114
       + 0.00476472*x115 + 0.0226705*x116 + 0.235181*x117 + 0.00928441*x118
       + 0.0184455*x119 + 0.00792027*x120 - 0.0076888*x121 + 0.0339791*x122
       + 0.00636739*x123 + 0.0187276*x124 + 0.0269025*x125 + 0.0143365*x126
       + 0.000634327*x127 + 0.00278331*x128 + 0.00785197*x129 + 0.00690463*x130
       + 0.0113531*x131 + 0.0104641*x132 + 0.012276*x133 + 0.0269732*x134
       + 0.0103718*x135 + 0.0190712*x136 - 0.00477126*x137 - 0.00572947*x138
       + 0.0104133*x139 + 0.0100659*x140 + 0.0498275*x141 + 0.0102288*x142
       + 0.00441009*x143 + 0.0040479*x144 + 0.0124475*x145 - 0.00342274*x146
       + 0.000176453*x147 + 0.017217*x148 - 0.00293312*x149 + 0.00888766*x150
       + 0.023651*x151 + 0.0135295*x152 + 0.0109968*x153 =E= 0;

e71..  - x16 + 0.031524*x104 + 0.00772244*x105 + 0.0147802*x106
       - 0.00254788*x107 + 0.00861698*x108 + 0.0107826*x109 + 0.0014551*x110
       + 0.00740455*x111 + 0.0158217*x112 + 0.00549788*x113 + 0.0155892*x114
       + 0.010742*x115 + 0.0521195*x116 + 0.00928441*x117 + 0.263278*x118
       + 0.0236152*x119 + 0.0316682*x120 + 0.0195558*x121 + 0.0076623*x122
       + 0.0194559*x123 + 0.0170966*x124 + 0.00841469*x125 + 0.0628376*x126
       - 0.00136048*x127 + 0.0161034*x128 + 0.0107127*x129 + 0.0245888*x130
       + 0.028144*x131 + 0.00464455*x132 - 0.00175133*x133 + 0.0183794*x134
       + 0.0253674*x135 + 0.0247949*x136 + 0.0304518*x137 + 0.0144214*x138
       + 0.0138411*x139 + 0.00950721*x140 + 0.0201834*x141 + 0.031306*x142
       + 0.0332243*x143 + 0.00638804*x144 + 0.0065094*x145 + 0.0137993*x146
       + 0.0168435*x147 + 0.0506392*x148 + 0.0128116*x149 + 0.00168187*x150
       + 0.00675166*x151 + 0.0145204*x152 + 0.00842282*x153 =E= 0;

e72..  - x17 + 0.0109443*x104 + 0.00377253*x105 + 0.0423844*x106
       + 0.00292224*x107 + 0.0177412*x108 + 0.0316233*x109 + 0.0227823*x110
       + 0.0103908*x111 + 0.00469651*x112 - 0.00461937*x113 + 0.00844915*x114
       + 0.0095391*x115 + 0.0378506*x116 + 0.0184455*x117 + 0.0236152*x118
       + 0.399091*x119 + 0.0253741*x120 + 0.00614241*x121 + 0.0229685*x122
       + 0.011749*x123 + 0.0202814*x124 + 0.0107864*x125 - 3.46438E-5*x126
       + 6.36846E-5*x127 + 0.0126304*x128 + 0.00393323*x129 + 0.0054493*x130
       - 0.00184168*x131 + 0.0171348*x132 + 0.00489275*x133 + 0.0142953*x134
       - 0.0034766*x135 + 0.0242945*x136 + 0.00250864*x137 + 0.00410094*x138
       + 0.107934*x139 + 0.0475747*x140 + 0.0113617*x141 + 0.0263806*x142
       + 0.0082565*x143 + 0.00194645*x144 - 0.00875179*x145 + 0.0237097*x146
       + 0.0171092*x147 + 0.00984422*x148 + 0.00124319*x149 + 0.00853366*x150
       + 0.00616336*x151 + 0.0110546*x152 + 0.0198612*x153 =E= 0;

e73..  - x18 + 0.0121041*x104 + 0.0131366*x105 + 0.0151294*x106
       - 0.00264025*x107 + 0.00529573*x108 + 0.00268096*x109 + 0.00998221*x110
       + 0.0075908*x111 + 0.0367019*x112 + 0.0053545*x113 + 0.00798032*x114
       + 0.0105239*x115 + 0.020457*x116 + 0.00792027*x117 + 0.0316682*x118
       + 0.0253741*x119 + 0.172581*x120 - 0.000430553*x121 + 0.0161853*x122
       + 0.00551705*x123 + 0.0132745*x124 + 0.000127748*x125 + 0.017939*x126
       + 0.00556801*x127 + 0.00501338*x128 + 0.0349875*x129 + 0.00807755*x130
       + 0.0247853*x131 + 0.00923018*x132 + 0.00498117*x133 + 0.0077624*x134
       + 0.00965138*x135 + 0.00879967*x136 + 0.0309518*x137 + 0.0148601*x138
       + 0.00947946*x139 + 0.0203213*x140 + 0.0264665*x141 + 0.0157371*x142
       - 0.00566317*x143 + 0.00880341*x144 - 0.00242972*x145 + 0.0131189*x146
       + 0.00317554*x147 + 0.0172748*x148 - 0.000556815*x149 + 0.00713269*x150
       + 0.00689095*x151 + 0.00849046*x152 + 0.00620089*x153 =E= 0;

e74..  - x19 + 0.0158032*x104 + 0.0073152*x105 + 0.0131933*x106
       + 0.0174032*x107 + 0.00763856*x108 + 0.0119269*x109 + 0.00918438*x110
       + 0.0110948*x111 + 0.0036371*x112 + 0.00537834*x113 + 0.0149401*x114
       + 0.00805011*x115 + 0.0220919*x116 - 0.0076888*x117 + 0.0195558*x118
       + 0.00614241*x119 - 0.000430553*x120 + 0.326219*x121 + 0.0634094*x122
       + 0.0139833*x123 + 0.0258678*x124 + 0.0341938*x125 + 0.0146457*x126
       + 0.00422682*x127 + 0.0019054*x128 - 0.0137581*x129 + 0.028468*x130
       + 0.0206666*x131 + 0.0100972*x132 - 0.00214698*x133 + 0.0269641*x134
       + 0.00915675*x135 + 0.0111442*x136 + 0.0301861*x137 + 0.0149483*x138
       + 0.0188053*x139 + 0.00412217*x140 + 0.0774379*x141 + 0.00697676*x142
       - 3.99087E-5*x143 + 0.0078282*x144 + 0.0134559*x145 + 0.00619566*x146
       + 0.0448735*x147 + 0.0156783*x148 + 0.000131014*x149 - 0.00451089*x150
       + 0.00785707*x151 + 0.0110056*x152 + 0.0263972*x153 =E= 0;

e75..  - x20 + 0.020623*x104 + 0.00802072*x105 + 0.0200807*x106
       - 0.00640496*x107 + 0.0118577*x108 + 0.0303966*x109 + 0.0162825*x110
       + 0.025077*x111 + 0.0119859*x112 + 0.020656*x113 + 0.00146244*x114
       + 0.0158485*x115 + 0.0399344*x116 + 0.0339791*x117 + 0.0076623*x118
       + 0.0229685*x119 + 0.0161853*x120 + 0.0634094*x121 + 0.385608*x122
       + 0.0345958*x123 + 0.0169809*x124 + 0.0583721*x125 + 0.0169378*x126
       + 0.013973*x127 + 0.0106434*x128 + 0.0280089*x129 + 0.0103817*x130
       + 0.0170792*x131 + 0.00231876*x132 + 0.0116659*x133 + 0.0511139*x134
       + 0.0248579*x135 + 0.019908*x136 + 0.0292878*x137 + 0.047299*x138
       + 0.0355295*x139 + 0.0211591*x140 + 0.0230464*x141 + 0.0145452*x142
       - 0.000417987*x143 + 0.00489485*x144 + 0.0149841*x145 + 0.017273*x146
       + 0.00404072*x147 + 0.0136268*x148 + 0.000347904*x149 + 0.00470695*x150
       + 0.0281552*x151 + 0.0137459*x152 + 0.0199292*x153 =E= 0;

e76..  - x21 + 0.0247398*x104 + 0.015776*x105 + 0.0279003*x106 + 0.0145218*x107
       + 0.0201164*x108 + 0.0454413*x109 - 0.000670936*x110 + 0.00565586*x111
       + 0.0164215*x112 + 0.0155004*x113 + 0.00981924*x114 + 0.0199583*x115
       + 0.0602296*x116 + 0.00636739*x117 + 0.0194559*x118 + 0.011749*x119
       + 0.00551705*x120 + 0.0139833*x121 + 0.0345958*x122 + 0.763589*x123
       + 0.0237753*x124 + 0.0433685*x125 + 0.0424384*x126 + 0.000276779*x127
       + 0.013555*x128 + 0.0242059*x129 + 0.00786367*x130 + 0.0221529*x131
       + 0.00884058*x132 + 0.0161636*x133 + 0.0326775*x134 + 0.0911346*x135
       + 0.0136316*x136 + 0.0269852*x137 + 0.0307904*x138 + 0.0039711*x139
       - 0.000628077*x140 + 0.0471463*x141 + 0.00436843*x142 + 0.00484268*x143
       + 0.0148282*x144 + 0.0198786*x145 + 0.0340145*x146 + 0.0376659*x147
       + 0.0312559*x148 + 0.00809124*x149 + 0.0307237*x150 + 0.0116133*x151
       + 0.0094677*x152 + 0.00692182*x153 =E= 0;

e77..  - x22 + 0.00555761*x104 + 0.00629412*x105 + 0.00643464*x106
       + 0.0129024*x107 + 0.0136623*x108 + 0.019074*x109 + 0.0130147*x110
       + 0.0121132*x111 + 0.000366288*x112 + 0.0167915*x113 + 0.0148897*x114
       + 0.0101883*x115 + 0.0220493*x116 + 0.0187276*x117 + 0.0170966*x118
       + 0.0202814*x119 + 0.0132745*x120 + 0.0258678*x121 + 0.0169809*x122
       + 0.0237753*x123 + 0.339943*x124 + 0.016126*x125 + 0.0204382*x126
       + 0.00915703*x127 + 0.0188312*x128 + 0.0117714*x129 + 0.0362019*x130
       + 0.0253554*x131 + 0.00141505*x132 + 0.00817918*x133 - 0.00324995*x134
       + 0.0132992*x135 + 0.00480814*x136 + 0.0207077*x137 + 0.0254043*x138
       + 0.0338924*x139 + 0.00968067*x140 + 0.135281*x141 + 0.0160362*x142
       - 0.0107549*x143 + 0.00875397*x144 + 0.000862071*x145 + 0.0379045*x146
       + 0.0297555*x147 + 0.0119213*x148 + 0.00976584*x149 + 0.00776414*x150
       + 0.012915*x151 + 0.0231203*x152 + 0.0233035*x153 =E= 0;

e78..  - x23 + 0.013993*x104 - 0.00517985*x105 + 0.00627721*x106
       - 0.0119786*x107 + 0.0128484*x108 + 0.0296039*x109 + 0.00240458*x110
       + 0.0304802*x111 + 0.0140022*x112 + 0.0395814*x113 + 0.0141194*x114
       + 0.010332*x115 + 0.0832039*x116 + 0.0269025*x117 + 0.00841469*x118
       + 0.0107864*x119 + 0.000127748*x120 + 0.0341938*x121 + 0.0583721*x122
       + 0.0433685*x123 + 0.016126*x124 + 0.481311*x125 + 0.0170557*x126
       - 0.00311591*x127 + 0.0139249*x128 + 0.0594535*x129 + 0.0145183*x130
       + 0.016967*x131 + 0.0112641*x132 + 0.024657*x133 + 0.00787582*x134
       - 0.00506337*x135 + 0.0109217*x136 + 0.00939792*x137 + 0.017012*x138
       + 0.0132202*x139 + 0.00645492*x140 + 0.0130434*x141 + 0.0142331*x142
       + 0.00959586*x143 + 0.0112846*x144 + 0.0445999*x145 + 0.0376668*x146
       + 0.0235529*x147 - 0.0107542*x148 + 0.00702185*x149 + 0.0403912*x150
       + 0.0349698*x151 + 0.0282488*x152 + 0.0298567*x153 =E= 0;

e79..  - x24 + 0.0123945*x104 + 0.0239066*x105 + 0.0306725*x106
       + 0.0176375*x107 + 0.0021719*x108 + 0.00805745*x109 + 0.00303798*x110
       + 0.00507081*x111 + 0.0205068*x112 + 0.0150508*x113 + 0.016902*x114
       + 0.0162768*x115 + 0.0852742*x116 + 0.0143365*x117 + 0.0628376*x118
       - 3.46438E-5*x119 + 0.017939*x120 + 0.0146457*x121 + 0.0169378*x122
       + 0.0424384*x123 + 0.0204382*x124 + 0.0170557*x125 + 0.373275*x126
       - 0.00704834*x127 + 0.0128585*x128 + 0.00260015*x129 + 0.0200246*x130
       + 0.0632325*x131 + 0.0111389*x132 - 0.00449714*x133 + 0.0278199*x134
       + 0.022233*x135 + 0.0330465*x136 + 0.0115127*x137 + 0.0131864*x138
       + 0.0265822*x139 + 0.0121016*x140 + 0.0407308*x141 + 0.0114801*x142
       + 0.0038543*x143 + 0.00678475*x144 + 0.00558977*x145 + 0.0272283*x146
       + 0.0398865*x147 + 0.0494122*x148 + 0.00933464*x149 + 0.0130469*x150
       + 0.0087531*x151 + 0.0103387*x152 + 0.0220169*x153 =E= 0;

e80..  - x25 + 0.00751497*x104 - 0.00423682*x105 + 0.00442841*x106
       + 0.0210136*x107 + 0.0281112*x108 + 0.00782076*x109 + 0.00915267*x110
       + 4.90321E-5*x111 + 0.00269563*x112 + 0.0188574*x113 + 0.00504698*x114
       + 0.0065703*x115 + 0.0010451*x116 + 0.000634327*x117 - 0.00136048*x118
       + 6.36846E-5*x119 + 0.00556801*x120 + 0.00422682*x121 + 0.013973*x122
       + 0.000276779*x123 + 0.00915703*x124 - 0.00311591*x125 - 0.00704834*x126
       + 0.164098*x127 + 0.0103448*x128 + 0.0130461*x129 + 0.00139879*x130
       + 0.0102272*x131 - 0.000682381*x132 + 0.0100276*x133 + 0.00094312*x134
       + 0.0115954*x135 + 0.00415876*x136 + 0.00300162*x137 + 0.00458279*x138
       + 0.00270523*x139 + 0.0133419*x140 + 0.00334861*x141 + 0.0128229*x142
       - 0.00180202*x143 + 0.0114349*x144 + 0.0146018*x145 + 0.00779397*x146
       + 0.004145*x147 + 0.00855331*x148 + 0.0110696*x149 + 0.0132022*x150
       + 0.00429127*x151 + 0.0022135*x152 + 0.0016433*x153 =E= 0;

e81..  - x26 + 0.0132948*x104 + 0.00987453*x105 + 0.011752*x106
       + 0.000607512*x107 + 0.00652843*x108 + 0.0198368*x109 + 0.00907776*x110
       + 0.00835925*x111 + 0.0106155*x112 + 0.0024849*x113 + 0.00917498*x114
       - 0.000427975*x115 + 0.0117398*x116 + 0.00278331*x117 + 0.0161034*x118
       + 0.0126304*x119 + 0.00501338*x120 + 0.0019054*x121 + 0.0106434*x122
       + 0.013555*x123 + 0.0188312*x124 + 0.0139249*x125 + 0.0128585*x126
       + 0.0103448*x127 + 0.116417*x128 + 0.0185161*x129 + 0.0127139*x130
       + 0.0207459*x131 + 0.00679425*x132 + 0.0109858*x133 - 0.00282273*x134
       + 0.0101677*x135 + 0.0130647*x136 + 0.00226988*x137 + 0.0121125*x138
       + 0.0118731*x139 + 0.0141039*x140 + 0.0125194*x141 + 0.0140214*x142
       + 0.00735851*x143 + 0.00747439*x144 + 0.0174946*x145 + 0.0135369*x146
       + 0.0147731*x147 + 0.0164992*x148 + 0.00636808*x149 + 0.0098105*x150
       + 0.0154318*x151 + 0.0136692*x152 + 0.0137847*x153 =E= 0;

e82..  - x27 + 0.00745881*x104 + 0.0120167*x105 - 0.00801673*x106
       - 0.0146154*x107 + 0.00212812*x108 + 0.00190749*x109 + 0.00309505*x110
       + 0.00592139*x111 + 0.0411432*x112 + 0.00680581*x113 + 0.000205375*x114
       + 0.0242205*x115 + 0.0130855*x116 + 0.00785197*x117 + 0.0107127*x118
       + 0.00393323*x119 + 0.0349875*x120 - 0.0137581*x121 + 0.0280089*x122
       + 0.0242059*x123 + 0.0117714*x124 + 0.0594535*x125 + 0.00260015*x126
       + 0.0130461*x127 + 0.0185161*x128 + 0.386832*x129 + 0.0148766*x130
       + 0.0100029*x131 - 0.0101228*x132 + 0.00226655*x133 + 0.00611323*x134
       - 0.000768405*x135 + 0.0098721*x136 + 0.0218544*x137 + 0.00838667*x138
       + 0.00528977*x139 + 0.00753299*x140 + 0.0164785*x141 + 0.00364537*x142
       + 0.0103843*x143 + 0.00710268*x144 + 0.0119617*x145 + 0.037602*x146
       - 0.0129546*x147 + 0.00271662*x148 - 0.00748197*x149 + 0.00139439*x150
       + 0.00966669*x151 + 0.00866961*x152 + 0.00832404*x153 =E= 0;

e83..  - x28 + 0.0216777*x104 + 0.0121151*x105 + 0.0169625*x106
       + 0.0520015*x107 + 0.0233312*x108 + 0.0219374*x109 + 0.00823806*x110
       + 0.00542844*x111 + 0.0087366*x112 + 0.00468293*x113 + 0.0105394*x114
       + 0.00961636*x115 + 0.0323546*x116 + 0.00690463*x117 + 0.0245888*x118
       + 0.0054493*x119 + 0.00807755*x120 + 0.028468*x121 + 0.0103817*x122
       + 0.00786367*x123 + 0.0362019*x124 + 0.0145183*x125 + 0.0200246*x126
       + 0.00139879*x127 + 0.0127139*x128 + 0.0148766*x129 + 0.321348*x130
       + 0.0417681*x131 + 0.0050132*x132 + 0.0201719*x133 + 0.0230056*x134
       + 0.0120712*x135 + 0.00991808*x136 + 0.0258682*x137 + 0.0183266*x138
       + 0.019907*x139 + 0.00953455*x140 + 0.0162905*x141 + 0.0185848*x142
       - 0.00543664*x143 + 0.0100757*x144 + 0.00212035*x145 + 0.00998995*x146
       + 0.0314048*x147 + 0.0162588*x148 + 0.0108084*x149 + 0.0152263*x150
       + 0.0128779*x151 + 0.015511*x152 + 0.0280024*x153 =E= 0;

e84..  - x29 + 0.00872975*x104 + 0.0156074*x105 + 0.0269001*x106
       + 0.0173077*x107 + 0.0129221*x108 + 0.00757434*x109 + 0.013625*x110
       + 0.00341025*x111 + 0.0378604*x112 + 0.00785674*x113 + 0.012544*x114
       + 0.0228651*x115 + 0.0370998*x116 + 0.0113531*x117 + 0.028144*x118
       - 0.00184168*x119 + 0.0247853*x120 + 0.0206666*x121 + 0.0170792*x122
       + 0.0221529*x123 + 0.0253554*x124 + 0.016967*x125 + 0.0632325*x126
       + 0.0102272*x127 + 0.0207459*x128 + 0.0100029*x129 + 0.0417681*x130
       + 0.330044*x131 + 0.0137865*x132 + 0.00691433*x133 + 0.0213392*x134
       + 0.0269937*x135 + 0.0260699*x136 + 0.0364958*x137 + 0.0128723*x138
       + 0.0283236*x139 + 0.0123914*x140 + 0.0205924*x141 + 0.0242858*x142
       - 0.000799301*x143 + 0.011565*x144 + 0.00624009*x145 + 0.0353538*x146
       + 0.0245954*x147 + 0.042545*x148 + 0.0276956*x149 + 0.0128342*x150
       + 0.00890195*x151 + 0.00198451*x152 + 0.0219192*x153 =E= 0;

e85..  - x30 - 0.000770175*x104 + 0.0026476*x105 + 0.0103273*x106
       + 0.0164925*x107 + 0.00492228*x108 + 0.00920587*x109 + 0.0135985*x110
       + 0.00438469*x111 + 0.00695282*x112 + 0.00404469*x113 + 0.00726768*x114
       + 0.00470242*x115 + 0.0153091*x116 + 0.0104641*x117 + 0.00464455*x118
       + 0.0171348*x119 + 0.00923018*x120 + 0.0100972*x121 + 0.00231876*x122
       + 0.00884058*x123 + 0.00141505*x124 + 0.0112641*x125 + 0.0111389*x126
       - 0.000682381*x127 + 0.00679425*x128 - 0.0101228*x129 + 0.0050132*x130
       + 0.0137865*x131 + 0.158909*x132 - 0.00582082*x133 + 0.0157117*x134
       + 0.00608472*x135 + 0.00419933*x136 + 0.00251541*x137 + 0.00421442*x138
       + 0.0225339*x139 + 0.0112219*x140 - 0.00403938*x141 - 0.00908157*x142
       + 0.00859469*x143 + 8.21806E-7*x144 + 9.44999E-5*x145 + 0.00434697*x146
       + 0.00826451*x147 + 0.0101937*x148 + 0.00148889*x149 + 0.00966191*x150
       + 0.00516837*x151 + 0.00367287*x152 - 0.00463318*x153 =E= 0;

e86..  - x31 + 0.011305*x104 + 0.00253939*x105 + 0.0113292*x106
       + 0.0083242*x107 + 0.0088443*x108 + 0.00897941*x109 + 0.00646679*x110
       + 0.0383818*x111 + 0.00629752*x112 + 0.0427761*x113 + 0.0111282*x114
       + 0.0189371*x115 + 0.0111655*x116 + 0.012276*x117 - 0.00175133*x118
       + 0.00489275*x119 + 0.00498117*x120 - 0.00214698*x121 + 0.0116659*x122
       + 0.0161636*x123 + 0.00817918*x124 + 0.024657*x125 - 0.00449714*x126
       + 0.0100276*x127 + 0.0109858*x128 + 0.00226655*x129 + 0.0201719*x130
       + 0.00691433*x131 - 0.00582082*x132 + 0.116635*x133 + 0.0116198*x134
       + 0.00547652*x135 + 0.0152185*x136 + 0.00741385*x137 + 0.0046145*x138
       + 0.00623077*x139 + 0.0091114*x140 + 0.00885197*x141 + 0.00308612*x142
       + 0.0151876*x143 + 0.00654069*x144 + 0.044115*x145 + 0.00387136*x146
       + 0.00295132*x147 + 0.00379961*x148 + 0.00519187*x149 + 0.00733556*x150
       + 0.0422234*x151 + 0.00280503*x152 + 0.0166106*x153 =E= 0;

e87..  - x32 + 0.0217047*x104 + 0.0329922*x105 + 0.0240454*x106
       - 0.0215875*x107 + 0.00588803*x108 + 0.00993727*x109 + 0.00651633*x110
       + 0.0162608*x111 + 0.019673*x112 + 0.00626743*x113 + 0.0174083*x114
       + 0.0325185*x115 + 0.0132216*x116 + 0.0269732*x117 + 0.0183794*x118
       + 0.0142953*x119 + 0.0077624*x120 + 0.0269641*x121 + 0.0511139*x122
       + 0.0326775*x123 - 0.00324995*x124 + 0.00787582*x125 + 0.0278199*x126
       + 0.00094312*x127 - 0.00282273*x128 + 0.00611323*x129 + 0.0230056*x130
       + 0.0213392*x131 + 0.0157117*x132 + 0.0116198*x133 + 0.359544*x134
       + 0.0229735*x135 + 0.0151152*x136 + 0.0146241*x137 + 0.0156185*x138
       + 0.00760089*x139 + 0.00690175*x140 + 0.00277927*x141 + 0.00576101*x142
       + 0.00892555*x143 + 0.00763239*x144 + 0.00487892*x145 + 0.0198425*x146
       + 0.0196123*x147 - 0.00659606*x148 + 0.00193689*x149 - 0.00374199*x150
       + 0.00990156*x151 + 0.0196254*x152 + 0.00321246*x153 =E= 0;

e88..  - x33 + 0.0117556*x104 + 0.00807391*x105 + 0.0189514*x106
       + 0.0133005*x107 + 0.0164469*x108 + 0.0159278*x109 + 0.0125127*x110
       + 0.00370309*x111 - 0.00171818*x112 + 0.00916632*x113 + 0.00341641*x114
       + 0.0201536*x115 + 0.0261839*x116 + 0.0103718*x117 + 0.0253674*x118
       - 0.0034766*x119 + 0.00965138*x120 + 0.00915675*x121 + 0.0248579*x122
       + 0.0911346*x123 + 0.0132992*x124 - 0.00506337*x125 + 0.022233*x126
       + 0.0115954*x127 + 0.0101677*x128 - 0.000768405*x129 + 0.0120712*x130
       + 0.0269937*x131 + 0.00608472*x132 + 0.00547652*x133 + 0.0229735*x134
       + 0.240835*x135 + 0.0143783*x136 + 0.00827044*x137 + 0.0347151*x138
       - 0.0103198*x139 + 0.00293304*x140 + 0.0366793*x141 + 0.0194444*x142
       - 0.00779473*x143 + 0.0244389*x144 - 0.00395025*x145 + 0.0187981*x146
       + 0.021071*x147 + 0.00342692*x148 + 0.0186356*x149 + 0.00332477*x150
       + 0.00675155*x151 + 0.0104234*x152 + 0.0207059*x153 =E= 0;

e89..  - x34 + 0.0180273*x104 + 0.0226813*x105 + 0.00949704*x106
       - 0.00593209*x107 + 0.0020111*x108 + 0.0232848*x109 + 0.00567283*x110
       + 0.0106211*x111 - 0.00126587*x112 + 0.0094479*x113 + 0.0185133*x114
       + 0.0211805*x115 + 0.0270964*x116 + 0.0190712*x117 + 0.0247949*x118
       + 0.0242945*x119 + 0.00879967*x120 + 0.0111442*x121 + 0.019908*x122
       + 0.0136316*x123 + 0.00480814*x124 + 0.0109217*x125 + 0.0330465*x126
       + 0.00415876*x127 + 0.0130647*x128 + 0.0098721*x129 + 0.00991808*x130
       + 0.0260699*x131 + 0.00419933*x132 + 0.0152185*x133 + 0.0151152*x134
       + 0.0143783*x135 + 0.207838*x136 + 0.00587083*x137 + 0.00200528*x138
       + 0.0234725*x139 + 0.0152861*x140 + 0.00701377*x141 + 0.00917087*x142
       + 0.00231326*x143 + 0.00289302*x144 + 0.00980109*x145 + 0.0127144*x146
       + 0.0196956*x147 + 0.0334304*x148 + 0.0193436*x149 + 0.0174221*x150
       + 0.011527*x151 + 0.0130528*x152 + 0.00680362*x153 =E= 0;

e90..  - x35 + 0.0211422*x104 + 0.00456857*x105 + 0.0104673*x106
       + 0.0150202*x107 + 0.0104625*x108 + 0.0269063*x109 + 0.0110189*x110
       + 0.00533309*x111 + 0.0234131*x112 + 0.00336554*x113 + 0.0286916*x114
       + 0.0303038*x115 + 0.0475537*x116 - 0.00477126*x117 + 0.0304518*x118
       + 0.00250864*x119 + 0.0309518*x120 + 0.0301861*x121 + 0.0292878*x122
       + 0.0269852*x123 + 0.0207077*x124 + 0.00939792*x125 + 0.0115127*x126
       + 0.00300162*x127 + 0.00226988*x128 + 0.0218544*x129 + 0.0258682*x130
       + 0.0364958*x131 + 0.00251541*x132 + 0.00741385*x133 + 0.0146241*x134
       + 0.00827044*x135 + 0.00587083*x136 + 0.286861*x137 + 0.00565452*x138
       + 0.0177132*x139 + 0.0142187*x140 + 0.010762*x141 + 0.03806*x142
       + 0.0146285*x143 + 0.0219003*x144 + 0.00383444*x145 + 0.0159526*x146
       + 0.0204436*x147 + 0.0428139*x148 + 0.000975165*x149 + 0.00147793*x150
       + 0.00644749*x151 + 0.0190748*x152 + 0.0071552*x153 =E= 0;

e91..  - x36 + 0.00668358*x104 + 0.0116551*x105 + 0.0196672*x106
       + 0.010448*x107 + 0.0155519*x108 + 0.0382082*x109 + 0.0234907*x110
       + 0.0156722*x111 + 0.0223175*x112 + 0.00962913*x113 + 0.0126075*x114
       + 0.0125687*x115 + 0.0246369*x116 - 0.00572947*x117 + 0.0144214*x118
       + 0.00410094*x119 + 0.0148601*x120 + 0.0149483*x121 + 0.047299*x122
       + 0.0307904*x123 + 0.0254043*x124 + 0.017012*x125 + 0.0131864*x126
       + 0.00458279*x127 + 0.0121125*x128 + 0.00838667*x129 + 0.0183266*x130
       + 0.0128723*x131 + 0.00421442*x132 + 0.0046145*x133 + 0.0156185*x134
       + 0.0347151*x135 + 0.00200528*x136 + 0.00565452*x137 + 0.268458*x138
       + 0.00217218*x139 + 0.0215651*x140 + 0.0395958*x141 + 0.0198457*x142
       + 0.000206895*x143 + 0.00560046*x144 + 0.00581103*x145 + 0.0102625*x146
       + 0.0271407*x147 + 0.00897088*x148 + 0.0199343*x149 + 0.00228233*x150
       + 0.00734553*x151 + 0.0275136*x152 + 0.0265965*x153 =E= 0;

e92..  - x37 + 0.0181975*x104 + 0.0129448*x105 + 0.00944151*x106
       + 0.0126952*x107 + 0.00463601*x108 + 0.0277226*x109 + 0.0139893*x110
       + 0.0234584*x111 + 0.0145788*x112 + 0.0196714*x113 + 0.00356847*x114
       + 0.0296485*x115 + 0.0212171*x116 + 0.0104133*x117 + 0.0138411*x118
       + 0.107934*x119 + 0.00947946*x120 + 0.0188053*x121 + 0.0355295*x122
       + 0.0039711*x123 + 0.0338924*x124 + 0.0132202*x125 + 0.0265822*x126
       + 0.00270523*x127 + 0.0118731*x128 + 0.00528977*x129 + 0.019907*x130
       + 0.0283236*x131 + 0.0225339*x132 + 0.00623077*x133 + 0.00760089*x134
       - 0.0103198*x135 + 0.0234725*x136 + 0.0177132*x137 + 0.00217218*x138
       + 0.318176*x139 + 0.0209729*x140 - 0.00439784*x141 + 0.00908584*x142
       + 0.00524489*x143 + 0.0135724*x144 + 0.0121425*x145 + 0.0196491*x146
       + 0.00727692*x147 + 0.0328983*x148 + 0.0156992*x149 + 0.0194708*x150
       + 0.023675*x151 + 0.0197569*x152 + 0.0166105*x153 =E= 0;

e93..  - x38 + 0.00709243*x104 + 0.0117844*x105 + 0.0144893*x106
       + 0.00268466*x107 + 0.00581976*x108 + 0.0055659*x109 - 0.00201783*x110
       + 0.00567606*x111 + 0.00779508*x112 - 0.000998625*x113 + 0.00745885*x114
       + 0.00714188*x115 + 0.0143747*x116 + 0.0100659*x117 + 0.00950721*x118
       + 0.0475747*x119 + 0.0203213*x120 + 0.00412217*x121 + 0.0211591*x122
       - 0.000628077*x123 + 0.00968067*x124 + 0.00645492*x125 + 0.0121016*x126
       + 0.0133419*x127 + 0.0141039*x128 + 0.00753299*x129 + 0.00953455*x130
       + 0.0123914*x131 + 0.0112219*x132 + 0.0091114*x133 + 0.00690175*x134
       + 0.00293304*x135 + 0.0152861*x136 + 0.0142187*x137 + 0.0215651*x138
       + 0.0209729*x139 + 0.142108*x140 + 0.0187624*x141 + 0.00920805*x142
       - 0.000636363*x143 + 0.0144337*x144 + 0.00277829*x145 + 0.017797*x146
       + 0.00841188*x147 + 0.00937427*x148 + 0.00789166*x149 + 0.00618311*x150
       + 0.0030335*x151 + 0.00867428*x152 - 0.00562884*x153 =E= 0;

e94..  - x39 + 0.00859672*x104 + 0.0022395*x105 + 0.0270936*x106
       + 0.0346056*x107 + 0.0330301*x108 + 0.0303748*x109 + 0.00135591*x110
       - 0.0123358*x111 + 0.0261496*x112 - 0.00593986*x113 + 0.0139257*x114
       + 0.0143395*x115 + 0.0404919*x116 + 0.0498275*x117 + 0.0201834*x118
       + 0.0113617*x119 + 0.0264665*x120 + 0.0774379*x121 + 0.0230464*x122
       + 0.0471463*x123 + 0.135281*x124 + 0.0130434*x125 + 0.0407308*x126
       + 0.00334861*x127 + 0.0125194*x128 + 0.0164785*x129 + 0.0162905*x130
       + 0.0205924*x131 - 0.00403938*x132 + 0.00885197*x133 + 0.00277927*x134
       + 0.0366793*x135 + 0.00701377*x136 + 0.010762*x137 + 0.0395958*x138
       - 0.00439784*x139 + 0.0187624*x140 + 0.836937*x141 + 0.0192458*x142
       + 0.00231446*x143 + 0.0132966*x144 - 0.00894258*x145 + 0.0162691*x146
       + 0.0177864*x147 + 0.0170539*x148 + 0.00669273*x149 - 0.00249913*x150
       - 0.0139347*x151 + 0.0217758*x152 + 0.0350658*x153 =E= 0;

e95..  - x40 + 0.0115741*x104 + 0.00981037*x105 + 0.00794121*x106
       - 0.00759984*x107 + 0.000725703*x108 + 0.0154055*x109 + 0.0108721*x110
       + 0.00432055*x111 + 0.0147571*x112 + 0.0102751*x113 + 0.00603217*x114
       + 0.00580621*x115 + 0.0092024*x116 + 0.0102288*x117 + 0.031306*x118
       + 0.0263806*x119 + 0.0157371*x120 + 0.00697676*x121 + 0.0145452*x122
       + 0.00436843*x123 + 0.0160362*x124 + 0.0142331*x125 + 0.0114801*x126
       + 0.0128229*x127 + 0.0140214*x128 + 0.00364537*x129 + 0.0185848*x130
       + 0.0242858*x131 - 0.00908157*x132 + 0.00308612*x133 + 0.00576101*x134
       + 0.0194444*x135 + 0.00917087*x136 + 0.03806*x137 + 0.0198457*x138
       + 0.00908584*x139 + 0.00920805*x140 + 0.0192458*x141 + 0.251213*x142
       + 0.00334966*x143 + 0.0117909*x144 + 0.010716*x145 + 0.0158585*x146
       + 0.00806849*x147 + 0.0108223*x148 + 0.0142862*x149 + 0.00115471*x150
       + 0.0109341*x151 + 0.0171715*x152 + 0.00711755*x153 =E= 0;

e96..  - x41 - 0.00694494*x104 + 0.00259833*x105 + 0.00183697*x106
       + 0.015472*x107 - 0.00793098*x108 - 0.00266834*x109 + 0.00307526*x110
       + 0.0118443*x111 + 0.000815089*x112 + 0.0205984*x113 + 0.00502012*x114
       + 0.00357467*x115 - 0.0108033*x116 + 0.00441009*x117 + 0.0332243*x118
       + 0.0082565*x119 - 0.00566317*x120 - 3.99087E-5*x121 - 0.000417987*x122
       + 0.00484268*x123 - 0.0107549*x124 + 0.00959586*x125 + 0.0038543*x126
       - 0.00180202*x127 + 0.00735851*x128 + 0.0103843*x129 - 0.00543664*x130
       - 0.000799301*x131 + 0.00859469*x132 + 0.0151876*x133 + 0.00892555*x134
       - 0.00779473*x135 + 0.00231326*x136 + 0.0146285*x137 + 0.000206895*x138
       + 0.00524489*x139 - 0.000636363*x140 + 0.00231446*x141 + 0.00334966*x142
       + 0.374781*x143 - 0.00557568*x144 + 0.0158263*x145 + 0.00523064*x146
       - 0.0050514*x147 + 0.0140868*x148 - 0.00917906*x149 + 0.00988113*x150
       + 0.0176324*x151 - 0.00199723*x152 + 0.00186031*x153 =E= 0;

e97..  - x42 + 0.00906382*x104 + 0.00174523*x105 + 0.0117643*x106
       + 0.00890418*x107 + 0.0146162*x108 + 0.0180767*x109 + 0.00210341*x110
       + 0.00282576*x111 + 0.0157161*x112 + 0.00167821*x113 + 0.0104933*x114
       + 0.00918813*x115 + 0.0106349*x116 + 0.0040479*x117 + 0.00638804*x118
       + 0.00194645*x119 + 0.00880341*x120 + 0.0078282*x121 + 0.00489485*x122
       + 0.0148282*x123 + 0.00875397*x124 + 0.0112846*x125 + 0.00678475*x126
       + 0.0114349*x127 + 0.00747439*x128 + 0.00710268*x129 + 0.0100757*x130
       + 0.011565*x131 + 8.21806E-7*x132 + 0.00654069*x133 + 0.00763239*x134
       + 0.0244389*x135 + 0.00289302*x136 + 0.0219003*x137 + 0.00560046*x138
       + 0.0135724*x139 + 0.0144337*x140 + 0.0132966*x141 + 0.0117909*x142
       - 0.00557568*x143 + 0.190312*x144 + 0.0114181*x145 + 0.00485906*x146
       + 0.0148381*x147 + 0.00752056*x148 + 0.00803579*x149 + 0.0095961*x150
       + 0.000424837*x151 - 0.00043568*x152 + 0.0186992*x153 =E= 0;

e98..  - x43 + 0.0111948*x104 + 0.00759206*x105 - 1.58485E-5*x106
       - 0.000701475*x107 + 0.0141079*x108 + 0.00967421*x109 + 0.00743862*x110
       + 0.027509*x111 + 0.0202152*x112 + 0.0364589*x113 + 0.0181936*x114
       + 0.023016*x115 + 0.0209758*x116 + 0.0124475*x117 + 0.0065094*x118
       - 0.00875179*x119 - 0.00242972*x120 + 0.0134559*x121 + 0.0149841*x122
       + 0.0198786*x123 + 0.000862071*x124 + 0.0445999*x125 + 0.00558977*x126
       + 0.0146018*x127 + 0.0174946*x128 + 0.0119617*x129 + 0.00212035*x130
       + 0.00624009*x131 + 9.44999E-5*x132 + 0.044115*x133 + 0.00487892*x134
       - 0.00395025*x135 + 0.00980109*x136 + 0.00383444*x137 + 0.00581103*x138
       + 0.0121425*x139 + 0.00277829*x140 - 0.00894258*x141 + 0.010716*x142
       + 0.0158263*x143 + 0.0114181*x144 + 0.151998*x145 + 0.00929416*x146
       + 0.0131389*x147 + 0.000890612*x148 + 0.0122113*x149 + 0.010008*x150
       + 0.0300917*x151 + 0.0145746*x152 + 0.0236475*x153 =E= 0;

e99..  - x44 + 0.0134577*x104 + 0.00592081*x105 + 0.00331206*x106
       + 0.00585112*x107 + 0.00614278*x108 + 0.0257456*x109 + 0.0151592*x110
       + 0.00682358*x111 + 0.0131911*x112 + 0.00869501*x113 + 0.0120769*x114
       + 0.0267977*x115 + 0.0480684*x116 - 0.00342274*x117 + 0.0137993*x118
       + 0.0237097*x119 + 0.0131189*x120 + 0.00619566*x121 + 0.017273*x122
       + 0.0340145*x123 + 0.0379045*x124 + 0.0376668*x125 + 0.0272283*x126
       + 0.00779397*x127 + 0.0135369*x128 + 0.037602*x129 + 0.00998995*x130
       + 0.0353538*x131 + 0.00434697*x132 + 0.00387136*x133 + 0.0198425*x134
       + 0.0187981*x135 + 0.0127144*x136 + 0.0159526*x137 + 0.0102625*x138
       + 0.0196491*x139 + 0.017797*x140 + 0.0162691*x141 + 0.0158585*x142
       + 0.00523064*x143 + 0.00485906*x144 + 0.00929416*x145 + 0.279636*x146
       + 0.0185804*x147 + 0.00785981*x148 + 0.0188325*x149 + 0.00678594*x150
       + 0.0135029*x151 + 0.0177797*x152 + 0.0127816*x153 =E= 0;

e100..  - x45 + 0.020476*x104 + 0.0247839*x105 + 0.0134164*x106
        + 0.0166383*x107 + 0.0201202*x108 + 0.0193113*x109 + 0.0141465*x110
        + 0.00208799*x111 + 0.0214016*x112 + 0.0150803*x113 + 0.0299444*x114
        + 0.0209747*x115 + 0.0260192*x116 + 0.000176453*x117 + 0.0168435*x118
        + 0.0171092*x119 + 0.00317554*x120 + 0.0448735*x121 + 0.00404072*x122
        + 0.0376659*x123 + 0.0297555*x124 + 0.0235529*x125 + 0.0398865*x126
        + 0.004145*x127 + 0.0147731*x128 - 0.0129546*x129 + 0.0314048*x130
        + 0.0245954*x131 + 0.00826451*x132 + 0.00295132*x133 + 0.0196123*x134
        + 0.021071*x135 + 0.0196956*x136 + 0.0204436*x137 + 0.0271407*x138
        + 0.00727692*x139 + 0.00841188*x140 + 0.0177864*x141 + 0.00806849*x142
        - 0.0050514*x143 + 0.0148381*x144 + 0.0131389*x145 + 0.0185804*x146
        + 0.273707*x147 + 0.0106295*x148 + 0.00647839*x149 + 0.00990575*x150
        + 0.00740087*x151 + 0.0433372*x152 + 0.0252949*x153 =E= 0;

e101..  - x46 + 0.0242347*x104 + 0.0161217*x105 + 0.0099541*x106
        - 0.00028602*x107 + 0.0158439*x108 + 0.0134801*x109 + 0.00889262*x110
        + 0.0089472*x111 + 0.0282411*x112 + 0.00674595*x113 + 0.0236058*x114
        + 0.0179783*x115 + 0.0451572*x116 + 0.017217*x117 + 0.0506392*x118
        + 0.00984422*x119 + 0.0172748*x120 + 0.0156783*x121 + 0.0136268*x122
        + 0.0312559*x123 + 0.0119213*x124 - 0.0107542*x125 + 0.0494122*x126
        + 0.00855331*x127 + 0.0164992*x128 + 0.00271662*x129 + 0.0162588*x130
        + 0.042545*x131 + 0.0101937*x132 + 0.00379961*x133 - 0.00659606*x134
        + 0.00342692*x135 + 0.0334304*x136 + 0.0428139*x137 + 0.00897088*x138
        + 0.0328983*x139 + 0.00937427*x140 + 0.0170539*x141 + 0.0108223*x142
        + 0.0140868*x143 + 0.00752056*x144 + 0.000890612*x145 + 0.00785981*x146
        + 0.0106295*x147 + 0.226423*x148 + 0.0085024*x149 + 0.00619253*x150
        + 0.00638118*x151 + 0.00264511*x152 + 0.0204815*x153 =E= 0;

e102..  - x47 + 0.00766303*x104 + 0.00882999*x105 + 0.0139781*x106
        + 0.0447002*x107 - 0.00332651*x108 + 0.0207282*x109 + 0.0238276*x110
        - 0.00112313*x111 - 0.00133073*x112 + 0.0113268*x113 + 0.00719184*x114
        + 0.00874964*x115 + 0.027167*x116 - 0.00293312*x117 + 0.0128116*x118
        + 0.00124319*x119 - 0.000556815*x120 + 0.000131014*x121
        + 0.000347904*x122 + 0.00809124*x123 + 0.00976584*x124
        + 0.00702185*x125 + 0.00933464*x126 + 0.0110696*x127 + 0.00636808*x128
        - 0.00748197*x129 + 0.0108084*x130 + 0.0276956*x131 + 0.00148889*x132
        + 0.00519187*x133 + 0.00193689*x134 + 0.0186356*x135 + 0.0193436*x136
        + 0.000975165*x137 + 0.0199343*x138 + 0.0156992*x139 + 0.00789166*x140
        + 0.00669273*x141 + 0.0142862*x142 - 0.00917906*x143 + 0.00803579*x144
        + 0.0122113*x145 + 0.0188325*x146 + 0.00647839*x147 + 0.0085024*x148
        + 0.267531*x149 + 0.00232151*x150 - 0.000766768*x151 + 0.000316677*x152
        + 0.00822914*x153 =E= 0;

e103..  - x48 + 0.00997082*x104 + 0.0147758*x105 + 0.00503418*x106
        + 0.00534355*x107 + 0.0189261*x108 + 0.0042502*x109 - 0.000946049*x110
        + 0.0483519*x111 + 0.00154601*x112 + 0.0128414*x113 - 0.00304806*x114
        - 0.000898835*x115 + 0.021948*x116 + 0.00888766*x117 + 0.00168187*x118
        + 0.00853366*x119 + 0.00713269*x120 - 0.00451089*x121 + 0.00470695*x122
        + 0.0307237*x123 + 0.00776414*x124 + 0.0403912*x125 + 0.0130469*x126
        + 0.0132022*x127 + 0.0098105*x128 + 0.00139439*x129 + 0.0152263*x130
        + 0.0128342*x131 + 0.00966191*x132 + 0.00733556*x133 - 0.00374199*x134
        + 0.00332477*x135 + 0.0174221*x136 + 0.00147793*x137 + 0.00228233*x138
        + 0.0194708*x139 + 0.00618311*x140 - 0.00249913*x141 + 0.00115471*x142
        + 0.00988113*x143 + 0.0095961*x144 + 0.010008*x145 + 0.00678594*x146
        + 0.00990575*x147 + 0.00619253*x148 + 0.00232151*x149 + 0.418051*x150
        + 0.00913577*x151 + 0.0065582*x152 + 0.00314288*x153 =E= 0;

e104..  - x49 + 0.00526154*x104 - 0.000853419*x105 + 0.00655016*x106
        + 0.0122491*x107 + 0.00579586*x108 + 0.0184131*x109 + 0.0156742*x110
        + 0.11768*x111 + 0.00508181*x112 + 0.0400112*x113 + 0.0151286*x114
        + 0.0141259*x115 + 0.00956646*x116 + 0.023651*x117 + 0.00675166*x118
        + 0.00616336*x119 + 0.00689095*x120 + 0.00785707*x121 + 0.0281552*x122
        + 0.0116133*x123 + 0.012915*x124 + 0.0349698*x125 + 0.0087531*x126
        + 0.00429127*x127 + 0.0154318*x128 + 0.00966669*x129 + 0.0128779*x130
        + 0.00890195*x131 + 0.00516837*x132 + 0.0422234*x133 + 0.00990156*x134
        + 0.00675155*x135 + 0.011527*x136 + 0.00644749*x137 + 0.00734553*x138
        + 0.023675*x139 + 0.0030335*x140 - 0.0139347*x141 + 0.0109341*x142
        + 0.0176324*x143 + 0.000424837*x144 + 0.0300917*x145 + 0.0135029*x146
        + 0.00740087*x147 + 0.00638118*x148 - 0.000766768*x149
        + 0.00913577*x150 + 0.176515*x151 + 0.00768637*x152 + 0.0270913*x153
        =E= 0;

e105..  - x50 + 0.0166389*x104 + 0.0132425*x105 + 0.0209718*x106
        + 0.00916891*x107 + 0.00391977*x108 + 0.0182866*x109 + 0.0101489*x110
        + 0.00887314*x111 + 0.0137679*x112 + 0.00367186*x113 + 0.0169771*x114
        + 0.0115324*x115 + 0.0270869*x116 + 0.0135295*x117 + 0.0145204*x118
        + 0.0110546*x119 + 0.00849046*x120 + 0.0110056*x121 + 0.0137459*x122
        + 0.0094677*x123 + 0.0231203*x124 + 0.0282488*x125 + 0.0103387*x126
        + 0.0022135*x127 + 0.0136692*x128 + 0.00866961*x129 + 0.015511*x130
        + 0.00198451*x131 + 0.00367287*x132 + 0.00280503*x133 + 0.0196254*x134
        + 0.0104234*x135 + 0.0130528*x136 + 0.0190748*x137 + 0.0275136*x138
        + 0.0197569*x139 + 0.00867428*x140 + 0.0217758*x141 + 0.0171715*x142
        - 0.00199723*x143 - 0.00043568*x144 + 0.0145746*x145 + 0.0177797*x146
        + 0.0433372*x147 + 0.00264511*x148 + 0.000316677*x149 + 0.0065582*x150
        + 0.00768637*x151 + 0.152601*x152 + 0.00372706*x153 =E= 0;

e106..  - x51 + 0.0216646*x104 + 0.010817*x105 + 0.0191812*x106 + 0.012088*x107
        + 0.014376*x108 + 0.0273859*x109 + 0.00788336*x110 + 0.0207686*x111
        + 0.00823817*x112 + 0.0118125*x113 + 0.0184548*x114 + 0.0158619*x115
        + 0.05279*x116 + 0.0109968*x117 + 0.00842282*x118 + 0.0198612*x119
        + 0.00620089*x120 + 0.0263972*x121 + 0.0199292*x122 + 0.00692182*x123
        + 0.0233035*x124 + 0.0298567*x125 + 0.0220169*x126 + 0.0016433*x127
        + 0.0137847*x128 + 0.00832404*x129 + 0.0280024*x130 + 0.0219192*x131
        - 0.00463318*x132 + 0.0166106*x133 + 0.00321246*x134 + 0.0207059*x135
        + 0.00680362*x136 + 0.0071552*x137 + 0.0265965*x138 + 0.0166105*x139
        - 0.00562884*x140 + 0.0350658*x141 + 0.00711755*x142 + 0.00186031*x143
        + 0.0186992*x144 + 0.0236475*x145 + 0.0127816*x146 + 0.0252949*x147
        + 0.0204815*x148 + 0.00822914*x149 + 0.00314288*x150 + 0.0270913*x151
        + 0.00372706*x152 + 0.208631*x153 =E= 0;

e107..  - x52 + 1.01354*x104 + 1.03678*x105 + 1.02537*x106 + 1.20097*x107
        + 1.0486*x108 + 1.04423*x109 + 1.02352*x110 + 1.05457*x111
        + 1.00423*x112 + 1.01635*x113 + 1.03168*x114 + 1.03898*x115
        + 1.07423*x116 + 1.02661*x117 + 1.03832*x118 + 1.07971*x119
        + 1.00361*x120 + 1.05973*x121 + 1.12325*x122 + 1.22312*x123
        + 1.08029*x124 + 1.14925*x125 + 1.09365*x126 + 1.02842*x127
        + 1.01159*x128 + 1.03784*x129 + 1.07922*x130 + 1.06787*x131
        + 1.04395*x132 + 1.01316*x133 + 1.06574*x134 + 1.03358*x135
        + 1.0358*x136 + 1.04596*x137 + 1.0449*x138 + 1.08528*x139
        + 1.02563*x140 + 1.18805*x141 + 1.01253*x142 + 1.03998*x143
        + 1.03411*x144 + 1.01622*x145 + 1.04489*x146 + 1.07221*x147
        + 1.03091*x148 + 1.02558*x149 + 1.0909*x150 + 1.04665*x151
        + 1.0206*x152 + 1.0418*x153 + x154 =E= 0.9;

e108..  - x53 + 0.358466*x104 + 0.0215162*x105 + 0.0151979*x106
        + 0.0315352*x107 + 0.0576007*x108 + 0.0143781*x109 + 0.0110109*x110
        + 0.0144156*x111 + 0.0122341*x112 + 0.0118374*x113 + 0.0486698*x114
        + 0.0507258*x115 + 0.0495021*x116 + 0.0278706*x117 + 0.0704474*x118
        + 0.0244575*x119 + 0.0270493*x120 + 0.0353157*x121 + 0.0460866*x122
        + 0.0552865*x123 + 0.0124197*x124 + 0.0312705*x125 + 0.0276982*x126
        + 0.0167939*x127 + 0.0297101*x128 + 0.0166684*x129 + 0.0484435*x130
        + 0.0195086*x131 - 0.00172113*x132 + 0.0252636*x133 + 0.0485041*x134
        + 0.0262706*x135 + 0.040286*x136 + 0.0472469*x137 + 0.0149359*x138
        + 0.0406664*x139 + 0.0158496*x140 + 0.0192113*x141 + 0.025865*x142
        - 0.01552*x143 + 0.0202551*x144 + 0.0250173*x145 + 0.0300742*x146
        + 0.0457582*x147 + 0.0541579*x148 + 0.0171247*x149 + 0.022282*x150
        + 0.0117581*x151 + 0.0371834*x152 + 0.0484144*x153 =E= 0;

e109..  - x54 + 0.0215162*x104 + 0.478633*x105 - 0.00808652*x106
        + 0.0617616*x107 - 0.0259974*x108 + 0.0203351*x109 - 0.00324156*x110
        + 0.00533997*x111 + 0.00246644*x112 - 0.00162298*x113 + 0.0193363*x114
        + 0.0413531*x115 + 0.0501391*x116 + 0.035281*x117 + 0.0172575*x118
        + 0.00843055*x119 + 0.0293567*x120 + 0.0163475*x121 + 0.0179241*x122
        + 0.0352549*x123 + 0.0140656*x124 - 0.0115755*x125 + 0.0534247*x126
        - 0.00946813*x127 + 0.0220668*x128 + 0.0268541*x129 + 0.027074*x130
        + 0.0348783*x131 + 0.00591665*x132 + 0.00567483*x133 + 0.0737284*x134
        + 0.018043*x135 + 0.0506864*x136 + 0.0102095*x137 + 0.026046*x138
        + 0.028928*x139 + 0.0263349*x140 + 0.00500466*x141 + 0.0219235*x142
        + 0.00580656*x143 + 0.00390011*x144 + 0.0169661*x145 + 0.0132314*x146
        + 0.0553852*x147 + 0.0360275*x148 + 0.0197326*x149 + 0.0330198*x150
        - 0.00190715*x151 + 0.0295934*x152 + 0.0241729*x153 =E= 0;

e110..  - x55 + 0.0151979*x104 - 0.00808652*x105 + 0.528551*x106
        + 0.0304678*x107 + 0.0245532*x108 + 0.0317938*x109 + 0.0139396*x110
        + 0.0109702*x111 + 0.0111294*x112 + 0.0120449*x113 + 0.0284787*x114
        + 0.018807*x115 + 0.0680271*x116 + 0.0288403*x117 + 0.0330297*x118
        + 0.0947173*x119 + 0.03381*x120 + 0.0294833*x121 + 0.0448748*x122
        + 0.0623494*x123 + 0.0143796*x124 + 0.0140278*x125 + 0.0685445*x126
        + 0.00989627*x127 + 0.0262624*x128 - 0.0179152*x129 + 0.0379064*x130
        + 0.0601144*x131 + 0.0230787*x132 + 0.0253176*x133 + 0.0537347*x134
        + 0.0423512*x135 + 0.0212233*x136 + 0.0233914*x137 + 0.0439508*x138
        + 0.0210992*x139 + 0.0323797*x140 + 0.0605467*x141 + 0.0177464*x142
        + 0.00410511*x143 + 0.02629*x144 - 3.54171E-5*x145 + 0.00740154*x146
        + 0.029982*x147 + 0.0222447*x148 + 0.0312372*x149 + 0.01125*x150
        + 0.0146378*x151 + 0.0468662*x152 + 0.0428647*x153 =E= 0;

e111..  - x56 + 0.0315352*x104 + 0.0617616*x105 + 0.0304678*x106 + 1.73785*x107
        - 0.0135098*x108 + 0.045995*x109 + 0.0699352*x110 + 0.0121537*x111
        + 0.0307943*x112 + 0.0284784*x113 + 0.0430429*x114 + 0.0211196*x115
        + 0.0377319*x116 + 0.0187902*x117 - 0.00569381*x118 + 0.0065304*x119
        - 0.00590022*x120 + 0.0388913*x121 - 0.0143133*x122 + 0.0324523*x123
        + 0.0288334*x124 - 0.0267688*x125 + 0.0394149*x126 + 0.0469596*x127
        + 0.00135762*x128 - 0.0326615*x129 + 0.116209*x130 + 0.038678*x131
        + 0.0368563*x132 + 0.0186023*x133 - 0.0482421*x134 + 0.0297229*x135
        - 0.0132566*x136 + 0.0335659*x137 + 0.0233484*x138 + 0.0283702*x139
        + 0.00599948*x140 + 0.0773339*x141 - 0.0169835*x142 + 0.0345757*x143
        + 0.0198984*x144 - 0.0015676*x145 + 0.0130756*x146 + 0.037182*x147
        - 0.000639177*x148 + 0.0998925*x149 + 0.0119414*x150 + 0.0273734*x151
        + 0.02049*x152 + 0.0270134*x153 =E= 0;

e112..  - x57 + 0.0576007*x104 - 0.0259974*x105 + 0.0245532*x106
        - 0.0135098*x107 + 0.748385*x108 + 0.0515292*x109 + 0.0106888*x110
        + 0.0175748*x111 + 0.0193366*x112 + 0.0351004*x113 + 0.0160128*x114
        + 0.0172674*x115 + 0.0399228*x116 + 0.0214609*x117 + 0.0192566*x118
        + 0.0396467*x119 + 0.0118345*x120 + 0.0170701*x121 + 0.0264986*x122
        + 0.0449547*x123 + 0.0305315*x124 + 0.0287126*x125 + 0.00485359*x126
        + 0.0628208*x127 + 0.0145892*x128 + 0.00475576*x129 + 0.0521389*x130
        + 0.0288774*x131 + 0.0109999*x132 + 0.0197646*x133 + 0.0131581*x134
        + 0.0367543*x135 + 0.00449425*x136 + 0.0233808*x137 + 0.0347541*x138
        + 0.0103602*x139 + 0.0130056*x140 + 0.0738132*x141 + 0.00162175*x142
        - 0.0177235*x143 + 0.0326633*x144 + 0.0315272*x145 + 0.0137274*x146
        + 0.0449631*x147 + 0.0354067*x148 - 0.00743382*x149 + 0.0422946*x150
        + 0.0129521*x151 + 0.00875959*x152 + 0.0321264*x153 =E= 0;

e113..  - x58 + 0.0143781*x104 + 0.0203351*x105 + 0.0317938*x106
        + 0.045995*x107 + 0.0515292*x108 + 0.442311*x109 + 0.0303136*x110
        + 0.0302529*x111 + 0.0277974*x112 + 0.0367773*x113 + 0.0496562*x114
        + 0.0528016*x115 + 0.0705586*x116 + 0.0409665*x117 + 0.0240961*x118
        + 0.0706694*x119 + 0.00599121*x120 + 0.0266534*x121 + 0.0679281*x122
        + 0.101549*x123 + 0.0426251*x124 + 0.0661565*x125 + 0.0180062*x126
        + 0.0174772*x127 + 0.0443298*x128 + 0.00426272*x129 + 0.049024*x130
        + 0.0169266*x131 + 0.0205726*x132 + 0.0200665*x133 + 0.0222071*x134
        + 0.0355943*x135 + 0.0520351*x136 + 0.0601281*x137 + 0.0853849*x138
        + 0.0619524*x139 + 0.0124382*x140 + 0.0678793*x141 + 0.034427*x142
        - 0.00596301*x143 + 0.0403963*x144 + 0.0216192*x145 + 0.0575342*x146
        + 0.0431554*x147 + 0.0301243*x148 + 0.0463217*x149 + 0.00949802*x150
        + 0.0411483*x151 + 0.0408655*x152 + 0.0612*x153 =E= 0;

e114..  - x59 + 0.0110109*x104 - 0.00324156*x105 + 0.0139396*x106
        + 0.0699352*x107 + 0.0106888*x108 + 0.0303136*x109 + 0.407016*x110
        + 0.0370645*x111 + 0.0225661*x112 + 0.02646*x113 + 0.0188773*x114
        + 0.0043581*x115 + 0.0275672*x116 + 0.00250961*x117 + 0.00325174*x118
        + 0.0509121*x119 + 0.0223075*x120 + 0.0205245*x121 + 0.0363868*x122
        - 0.00149936*x123 + 0.0290843*x124 + 0.00537358*x125 + 0.00678905*x126
        + 0.0204537*x127 + 0.0202863*x128 + 0.00691658*x129 + 0.0184098*x130
        + 0.030448*x131 + 0.0303889*x132 + 0.0144515*x133 + 0.0145622*x134
        + 0.0279624*x135 + 0.0126772*x136 + 0.0246242*x137 + 0.0524953*x138
        + 0.0312623*x139 - 0.00450929*x140 + 0.00303008*x141 + 0.0242962*x142
        + 0.00687237*x143 + 0.00470055*x144 + 0.0166233*x145 + 0.0338767*x146
        + 0.0316136*x147 + 0.0198725*x148 + 0.0532481*x149 - 0.00211416*x150
        + 0.0350275*x151 + 0.02268*x152 + 0.0176171*x153 =E= 0;

e115..  - x60 + 0.0144156*x104 + 0.00533997*x105 + 0.0109702*x106
        + 0.0121537*x107 + 0.0175748*x108 + 0.0302529*x109 + 0.0370645*x110
        + 0.458848*x111 + 0.00582833*x112 + 0.0802881*x113 + 0.0299983*x114
        + 0.0390715*x115 + 0.030648*x116 + 0.0573334*x117 + 0.0165471*x118
        + 0.0232206*x119 + 0.0169633*x120 + 0.0247937*x121 + 0.0560401*x122
        + 0.0126393*x123 + 0.0270696*x124 + 0.0681149*x125 + 0.0113319*x126
        + 0.000109573*x127 + 0.0186806*x128 + 0.0132327*x129 + 0.0121311*x130
        + 0.00762097*x131 + 0.00979857*x132 + 0.0857726*x133 + 0.0363383*x134
        + 0.00827538*x135 + 0.0237353*x136 + 0.011918*x137 + 0.0350231*x138
        + 0.052423*x139 + 0.0126844*x140 - 0.0275672*x141 + 0.00965523*x142
        + 0.0264688*x143 + 0.0063148*x144 + 0.061475*x145 + 0.0152488*x146
        + 0.00466608*x147 + 0.0199945*x148 - 0.00250988*x149 + 0.108053*x150
        + 0.262981*x151 + 0.019829*x152 + 0.046412*x153 =E= 0;

e116..  - x61 + 0.0122341*x104 + 0.00246644*x105 + 0.0111294*x106
        + 0.0307943*x107 + 0.0193366*x108 + 0.0277974*x109 + 0.0225661*x110
        + 0.00582833*x111 + 0.496919*x112 + 0.0136468*x113 + 0.0573919*x114
        + 0.0168678*x115 + 0.0388517*x116 + 0.0257254*x117 + 0.0353571*x118
        + 0.0104954*x119 + 0.0820186*x120 + 0.00812791*x121 + 0.0267851*x122
        + 0.0366976*x123 + 0.000818553*x124 + 0.0312911*x125 + 0.045827*x126
        + 0.00602398*x127 + 0.0237227*x128 + 0.0919436*x129 + 0.0195239*x130
        + 0.0846076*x131 + 0.0155376*x132 + 0.0140732*x133 + 0.0439636*x134
        - 0.00383966*x135 - 0.00282887*x136 + 0.0523218*x137 + 0.0498735*x138
        + 0.0325796*x139 + 0.0174198*x140 + 0.0584371*x141 + 0.0329779*x142
        + 0.0018215*x143 + 0.035121*x144 + 0.0451754*x145 + 0.0294785*x146
        + 0.0478265*x147 + 0.063111*x148 - 0.00297381*x149 + 0.0034549*x150
        + 0.0113564*x151 + 0.0307674*x152 + 0.01841*x153 =E= 0;

e117..  - x62 + 0.0118374*x104 - 0.00162298*x105 + 0.0120449*x106
        + 0.0284784*x107 + 0.0351004*x108 + 0.0367773*x109 + 0.02646*x110
        + 0.0802881*x111 + 0.0136468*x112 + 0.357643*x113 + 0.0205877*x114
        + 0.0400302*x115 + 0.0391604*x116 + 0.0284716*x117 + 0.0122862*x118
        - 0.010323*x119 + 0.0119658*x120 + 0.0120191*x121 + 0.0461605*x122
        + 0.0346392*x123 + 0.0375244*x124 + 0.0884535*x125 + 0.0336343*x126
        + 0.0421411*x127 + 0.00555306*x128 + 0.0152091*x129 + 0.010465*x130
        + 0.0175576*x131 + 0.00903877*x132 + 0.0955928*x133 + 0.014006*x134
        + 0.0204842*x135 + 0.0211134*x136 + 0.00752106*x137 + 0.0215184*x138
        + 0.0439601*x139 - 0.00223165*x140 - 0.0132739*x141 + 0.022962*x142
        + 0.0460316*x143 + 0.00375034*x144 + 0.0814755*x145 + 0.0194309*x146
        + 0.0337004*x147 + 0.0150753*x148 + 0.0253122*x149 + 0.028697*x150
        + 0.089414*x151 + 0.00820558*x152 + 0.0263976*x153 =E= 0;

e118..  - x63 + 0.0486698*x104 + 0.0193363*x105 + 0.0284787*x106
        + 0.0430429*x107 + 0.0160128*x108 + 0.0496562*x109 + 0.0188773*x110
        + 0.0299983*x111 + 0.0573919*x112 + 0.0205877*x113 + 0.314058*x114
        + 0.0502726*x115 + 0.0482606*x116 + 0.0214551*x117 + 0.0348375*x118
        + 0.0188815*x119 + 0.0178338*x120 + 0.0333869*x121 + 0.00326814*x122
        + 0.0219433*x123 + 0.0332744*x124 + 0.0315529*x125 + 0.0377713*x126
        + 0.0112786*x127 + 0.0205035*x128 + 0.000458956*x129 + 0.0235527*x130
        + 0.0280323*x131 + 0.0162413*x132 + 0.0248684*x133 + 0.0389028*x134
        + 0.00763474*x135 + 0.0413721*x136 + 0.0641178*x137 + 0.0281744*x138
        + 0.00797455*x139 + 0.0166685*x140 + 0.0311201*x141 + 0.0134802*x142
        + 0.0112186*x143 + 0.0234496*x144 + 0.0406577*x145 + 0.0269886*x146
        + 0.0669174*x147 + 0.0527525*x148 + 0.0160718*x149 - 0.00681157*x150
        + 0.0338082*x151 + 0.037939*x152 + 0.0412414*x153 =E= 0;

e119..  - x64 + 0.0507258*x104 + 0.0413531*x105 + 0.018807*x106
        + 0.0211196*x107 + 0.0172674*x108 + 0.0528016*x109 + 0.0043581*x110
        + 0.0390715*x111 + 0.0168678*x112 + 0.0400302*x113 + 0.0502726*x114
        + 0.457331*x115 + 0.0702046*x116 + 0.0106478*x117 + 0.0240054*x118
        + 0.0213173*x119 + 0.0235181*x120 + 0.0179898*x121 + 0.035417*x122
        + 0.0446013*x123 + 0.0227681*x124 + 0.0230892*x125 + 0.0363742*x126
        + 0.0146828*x127 - 0.000956405*x128 + 0.054126*x129 + 0.0214899*x130
        + 0.0510972*x131 + 0.0105086*x132 + 0.0423192*x133 + 0.0726699*x134
        + 0.0450376*x135 + 0.0473326*x136 + 0.0677206*x137 + 0.0280876*x138
        + 0.0662562*x139 + 0.0159601*x140 + 0.0320449*x141 + 0.0129753*x142
        + 0.0079884*x143 + 0.0205329*x144 + 0.0514345*x145 + 0.0598854*x146
        + 0.0468727*x147 + 0.0401766*x148 + 0.019553*x149 - 0.00200865*x150
        + 0.0315674*x151 + 0.0257717*x152 + 0.0354469*x153 =E= 0;

e120..  - x65 + 0.0495021*x104 + 0.0501391*x105 + 0.0680271*x106
        + 0.0377319*x107 + 0.0399228*x108 + 0.0705586*x109 + 0.0275672*x110
        + 0.030648*x111 + 0.0388517*x112 + 0.0391604*x113 + 0.0482606*x114
        + 0.0702046*x115 + 0.925642*x116 + 0.0506623*x117 + 0.116473*x118
        + 0.0845857*x119 + 0.0457157*x120 + 0.0493693*x121 + 0.0892422*x122
        + 0.134597*x123 + 0.0492741*x124 + 0.185938*x125 + 0.190564*x126
        + 0.0023355*x127 + 0.0262353*x128 + 0.0292424*x129 + 0.0723036*x130
        + 0.0829079*x131 + 0.0342115*x132 + 0.0249518*x133 + 0.0295467*x134
        + 0.0585137*x135 + 0.060553*x136 + 0.106269*x137 + 0.0550567*x138
        + 0.0474145*x139 + 0.0321235*x140 + 0.0904882*x141 + 0.0205648*x142
        - 0.0241423*x143 + 0.0237661*x144 + 0.0468751*x145 + 0.107419*x146
        + 0.0581458*x147 + 0.100914*x148 + 0.0607108*x149 + 0.0490476*x150
        + 0.0213784*x151 + 0.0605318*x152 + 0.117971*x153 =E= 0;

e121..  - x66 + 0.0278706*x104 + 0.035281*x105 + 0.0288403*x106
        + 0.0187902*x107 + 0.0214609*x108 + 0.0409665*x109 + 0.00250961*x110
        + 0.0573334*x111 + 0.0257254*x112 + 0.0284716*x113 + 0.0214551*x114
        + 0.0106478*x115 + 0.0506623*x116 + 0.525564*x117 + 0.0207481*x118
        + 0.0412206*x119 + 0.0176996*x120 - 0.0171823*x121 + 0.0759338*x122
        + 0.0142293*x123 + 0.0418509*x124 + 0.0601195*x125 + 0.0320382*x126
        + 0.00141755*x127 + 0.00621992*x128 + 0.017547*x129 + 0.0154299*x130
        + 0.0253711*x131 + 0.0233843*x132 + 0.0274335*x133 + 0.0602777*x134
        + 0.0231782*x135 + 0.0426189*x136 - 0.0106625*x137 - 0.0128038*x138
        + 0.0232709*x139 + 0.0224946*x140 + 0.111351*x141 + 0.0228586*x142
        + 0.00985532*x143 + 0.00904594*x144 + 0.0278168*x145 - 0.00764888*x146
        + 0.000394324*x147 + 0.0384752*x148 - 0.00655471*x149 + 0.0198615*x150
        + 0.0528534*x151 + 0.0302347*x152 + 0.0245747*x153 =E= 0;

e122..  - x67 + 0.0704474*x104 + 0.0172575*x105 + 0.0330297*x106
        - 0.00569381*x107 + 0.0192566*x108 + 0.0240961*x109 + 0.00325174*x110
        + 0.0165471*x111 + 0.0353571*x112 + 0.0122862*x113 + 0.0348375*x114
        + 0.0240054*x115 + 0.116473*x116 + 0.0207481*x117 + 0.588354*x118
        + 0.0527735*x119 + 0.0707697*x120 + 0.0437018*x121 + 0.0171231*x122
        + 0.0434786*x123 + 0.0382061*x124 + 0.0188045*x125 + 0.140425*x126
        - 0.00304029*x127 + 0.0359866*x128 + 0.02394*x129 + 0.0549492*x130
        + 0.062894*x131 + 0.0103793*x132 - 0.00391373*x133 + 0.0410728*x134
        + 0.0566892*x135 + 0.0554098*x136 + 0.0680514*x137 + 0.0322278*x138
        + 0.0309311*x139 + 0.021246*x140 + 0.0451042*x141 + 0.0699602*x142
        + 0.0742471*x143 + 0.0142755*x144 + 0.0145467*x145 + 0.0308376*x146
        + 0.0376405*x147 + 0.113165*x148 + 0.0286304*x149 + 0.00375851*x150
        + 0.0150881*x151 + 0.0324491*x152 + 0.0188227*x153 =E= 0;

e123..  - x68 + 0.0244575*x104 + 0.00843055*x105 + 0.0947173*x106
        + 0.0065304*x107 + 0.0396467*x108 + 0.0706694*x109 + 0.0509121*x110
        + 0.0232206*x111 + 0.0104954*x112 - 0.010323*x113 + 0.0188815*x114
        + 0.0213173*x115 + 0.0845857*x116 + 0.0412206*x117 + 0.0527735*x118
        + 0.891857*x119 + 0.056704*x120 + 0.0137266*x121 + 0.0513281*x122
        + 0.0262559*x123 + 0.0453234*x124 + 0.0241046*x125 - 7.74193E-5*x126
        + 0.000142318*x127 + 0.0282254*x128 + 0.00878968*x129 + 0.0121777*x130
        - 0.00411565*x131 + 0.0382916*x132 + 0.0109339*x133 + 0.031946*x134
        - 0.00776923*x135 + 0.0542914*x136 + 0.00560612*x137 + 0.00916447*x138
        + 0.241202*x139 + 0.106316*x140 + 0.0253903*x141 + 0.0589532*x142
        + 0.018451*x143 + 0.00434978*x144 - 0.0195578*x145 + 0.0529846*x146
        + 0.0382343*x147 + 0.0219991*x148 + 0.00277819*x149 + 0.0190704*x150
        + 0.0137734*x151 + 0.0247039*x152 + 0.0443843*x153 =E= 0;

e124..  - x69 + 0.0270493*x104 + 0.0293567*x105 + 0.03381*x106
        - 0.00590022*x107 + 0.0118345*x108 + 0.00599121*x109 + 0.0223075*x110
        + 0.0169633*x111 + 0.0820186*x112 + 0.0119658*x113 + 0.0178338*x114
        + 0.0235181*x115 + 0.0457157*x116 + 0.0176996*x117 + 0.0707697*x118
        + 0.056704*x119 + 0.385672*x120 - 0.000962166*x121 + 0.0361697*x122
        + 0.0123291*x123 + 0.0296649*x124 + 0.000285482*x125 + 0.0400886*x126
        + 0.012443*x127 + 0.0112035*x128 + 0.0781873*x129 + 0.0180511*x130
        + 0.0553883*x131 + 0.0206269*x132 + 0.0111315*x133 + 0.0173468*x134
        + 0.0215682*x135 + 0.0196648*x136 + 0.0691686*x137 + 0.0332083*x138
        + 0.021184*x139 + 0.0454125*x140 + 0.0591452*x141 + 0.0351681*x142
        - 0.0126556*x143 + 0.0196732*x144 - 0.00542976*x145 + 0.0293172*x146
        + 0.00709645*x147 + 0.0386043*x148 - 0.00124433*x149 + 0.0159396*x150
        + 0.0153994*x151 + 0.0189738*x152 + 0.0138573*x153 =E= 0;

e125..  - x70 + 0.0353157*x104 + 0.0163475*x105 + 0.0294833*x106
        + 0.0388913*x107 + 0.0170701*x108 + 0.0266534*x109 + 0.0205245*x110
        + 0.0247937*x111 + 0.00812791*x112 + 0.0120191*x113 + 0.0333869*x114
        + 0.0179898*x115 + 0.0493693*x116 - 0.0171823*x117 + 0.0437018*x118
        + 0.0137266*x119 - 0.000962166*x120 + 0.729008*x121 + 0.141702*x122
        + 0.0312489*x123 + 0.0578074*x124 + 0.0764137*x125 + 0.032729*x126
        + 0.00944577*x127 + 0.00425804*x128 - 0.0307454*x129 + 0.063618*x130
        + 0.046184*x131 + 0.0225644*x132 - 0.00479791*x133 + 0.0602573*x134
        + 0.0204628*x135 + 0.0249042*x136 + 0.0674576*x137 + 0.0334053*x138
        + 0.0420246*x139 + 0.00921192*x140 + 0.173052*x141 + 0.0155911*x142
        - 8.91849E-5*x143 + 0.0174939*x144 + 0.0300703*x145 + 0.0138456*x146
        + 0.10028*x147 + 0.0350366*x148 + 0.000292779*x149 - 0.0100806*x150
        + 0.0175584*x151 + 0.0245945*x152 + 0.0589905*x153 =E= 0;

e126..  - x71 + 0.0460866*x104 + 0.0179241*x105 + 0.0448748*x106
        - 0.0143133*x107 + 0.0264986*x108 + 0.0679281*x109 + 0.0363868*x110
        + 0.0560401*x111 + 0.0267851*x112 + 0.0461605*x113 + 0.00326814*x114
        + 0.035417*x115 + 0.0892422*x116 + 0.0759338*x117 + 0.0171231*x118
        + 0.0513281*x119 + 0.0361697*x120 + 0.141702*x121 + 0.861727*x122
        + 0.0773121*x123 + 0.0379476*x124 + 0.130446*x125 + 0.0378514*x126
        + 0.0312259*x127 + 0.0237851*x128 + 0.0625922*x129 + 0.0232002*x130
        + 0.0381672*x131 + 0.00518179*x132 + 0.02607*x133 + 0.114225*x134
        + 0.0555505*x135 + 0.0444889*x136 + 0.0654502*x137 + 0.1057*x138
        + 0.0793985*x139 + 0.0472847*x140 + 0.0515024*x141 + 0.0325045*x142
        - 0.000934086*x143 + 0.0109386*x144 + 0.0334853*x145 + 0.0386005*x146
        + 0.00902989*x147 + 0.0304521*x148 + 0.00077747*x149 + 0.0105187*x150
        + 0.062919*x151 + 0.0307183*x152 + 0.0445361*x153 =E= 0;

e127..  - x72 + 0.0552865*x104 + 0.0352549*x105 + 0.0623494*x106
        + 0.0324523*x107 + 0.0449547*x108 + 0.101549*x109 - 0.00149936*x110
        + 0.0126393*x111 + 0.0366976*x112 + 0.0346392*x113 + 0.0219433*x114
        + 0.0446013*x115 + 0.134597*x116 + 0.0142293*x117 + 0.0434786*x118
        + 0.0262559*x119 + 0.0123291*x120 + 0.0312489*x121 + 0.0773121*x122
        + 1.70641*x123 + 0.0531312*x124 + 0.0969165*x125 + 0.0948381*x126
        + 0.000618525*x127 + 0.0302917*x128 + 0.0540934*x129 + 0.0175731*x130
        + 0.0495056*x131 + 0.0197562*x132 + 0.0361213*x133 + 0.0730253*x134
        + 0.203661*x135 + 0.030463*x136 + 0.0603045*x137 + 0.0688081*x138
        + 0.0088743*x139 - 0.00140358*x140 + 0.105359*x141 + 0.00976224*x142
        + 0.010822*x143 + 0.033137*x144 + 0.0444231*x145 + 0.076013*x146
        + 0.0841729*x147 + 0.0698484*x148 + 0.0180817*x149 + 0.0686589*x150
        + 0.0259525*x151 + 0.0211577*x152 + 0.0154683*x153 =E= 0;

e128..  - x73 + 0.0124197*x104 + 0.0140656*x105 + 0.0143796*x106
        + 0.0288334*x107 + 0.0305315*x108 + 0.0426251*x109 + 0.0290843*x110
        + 0.0270696*x111 + 0.000818553*x112 + 0.0375244*x113 + 0.0332744*x114
        + 0.0227681*x115 + 0.0492741*x116 + 0.0418509*x117 + 0.0382061*x118
        + 0.0453234*x119 + 0.0296649*x120 + 0.0578074*x121 + 0.0379476*x122
        + 0.0531312*x123 + 0.75968*x124 + 0.0360372*x125 + 0.0456736*x126
        + 0.0204634*x127 + 0.0420824*x128 + 0.0263059*x129 + 0.0809013*x130
        + 0.0566622*x131 + 0.00316224*x132 + 0.0182782*x133 - 0.00726274*x134
        + 0.02972*x135 + 0.0107449*x136 + 0.046276*x137 + 0.0567716*x138
        + 0.0757402*x139 + 0.0216336*x140 + 0.302316*x141 + 0.0358365*x142
        - 0.0240343*x143 + 0.0195627*x144 + 0.00192649*x145 + 0.0847061*x146
        + 0.0664952*x147 + 0.0266409*x148 + 0.021824*x149 + 0.0173507*x150
        + 0.0288613*x151 + 0.0516674*x152 + 0.0520769*x153 =E= 0;

e129..  - x74 + 0.0312705*x104 - 0.0115755*x105 + 0.0140278*x106
        - 0.0267688*x107 + 0.0287126*x108 + 0.0661565*x109 + 0.00537358*x110
        + 0.0681149*x111 + 0.0312911*x112 + 0.0884535*x113 + 0.0315529*x114
        + 0.0230892*x115 + 0.185938*x116 + 0.0601195*x117 + 0.0188045*x118
        + 0.0241046*x119 + 0.000285482*x120 + 0.0764137*x121 + 0.130446*x122
        + 0.0969165*x123 + 0.0360372*x124 + 1.0756*x125 + 0.0381149*x126
        - 0.00696319*x127 + 0.0311182*x128 + 0.132862*x129 + 0.0324445*x130
        + 0.0379165*x131 + 0.0251723*x132 + 0.0551016*x133 + 0.0176003*x134
        - 0.0113152*x135 + 0.024407*x136 + 0.0210017*x137 + 0.0380172*x138
        + 0.0295435*x139 + 0.014425*x140 + 0.0291484*x141 + 0.0318071*x142
        + 0.0214441*x143 + 0.0252179*x144 + 0.0996684*x145 + 0.084175*x146
        + 0.0526343*x147 - 0.0240326*x148 + 0.0156919*x149 + 0.0902632*x150
        + 0.0781479*x151 + 0.0631282*x152 + 0.0667215*x153 =E= 0;

e130..  - x75 + 0.0276982*x104 + 0.0534247*x105 + 0.0685445*x106
        + 0.0394149*x107 + 0.00485359*x108 + 0.0180062*x109 + 0.00678905*x110
        + 0.0113319*x111 + 0.045827*x112 + 0.0336343*x113 + 0.0377713*x114
        + 0.0363742*x115 + 0.190564*x116 + 0.0320382*x117 + 0.140425*x118
        - 7.74193E-5*x119 + 0.0400886*x120 + 0.032729*x121 + 0.0378514*x122
        + 0.0948381*x123 + 0.0456736*x124 + 0.0381149*x125 + 0.834165*x126
        - 0.0157511*x127 + 0.0287351*x128 + 0.00581061*x129 + 0.0447495*x130
        + 0.141307*x131 + 0.0248923*x132 - 0.0100499*x133 + 0.0621698*x134
        + 0.0496847*x135 + 0.0738498*x136 + 0.0257277*x137 + 0.029468*x138
        + 0.0594039*x139 + 0.0270438*x140 + 0.091022*x141 + 0.0256548*x142
        + 0.00861329*x143 + 0.015162*x144 + 0.0124916*x145 + 0.0608478*x146
        + 0.0891352*x147 + 0.110423*x148 + 0.0208603*x149 + 0.0291562*x150
        + 0.0195608*x151 + 0.0231042*x152 + 0.0492018*x153 =E= 0;

e131..  - x76 + 0.0167939*x104 - 0.00946813*x105 + 0.00989627*x106
        + 0.0469596*x107 + 0.0628208*x108 + 0.0174772*x109 + 0.0204537*x110
        + 0.000109573*x111 + 0.00602398*x112 + 0.0421411*x113 + 0.0112786*x114
        + 0.0146828*x115 + 0.0023355*x116 + 0.00141755*x117 - 0.00304029*x118
        + 0.000142318*x119 + 0.012443*x120 + 0.00944577*x121 + 0.0312259*x122
        + 0.000618525*x123 + 0.0204634*x124 - 0.00696319*x125 - 0.0157511*x126
        + 0.366713*x127 + 0.0231177*x128 + 0.0291545*x129 + 0.00312591*x130
        + 0.022855*x131 - 0.00152493*x132 + 0.0224089*x133 + 0.00210761*x134
        + 0.0259124*x135 + 0.00929368*x136 + 0.00670778*x137 + 0.0102413*x138
        + 0.00604544*x139 + 0.0298154*x140 + 0.00748321*x141 + 0.0286557*x142
        - 0.00402701*x143 + 0.0255538*x144 + 0.032631*x145 + 0.0174174*x146
        + 0.00926293*x147 + 0.0191143*x148 + 0.0247375*x149 + 0.0295032*x150
        + 0.00958979*x151 + 0.00494656*x152 + 0.00367233*x153 =E= 0;

e132..  - x77 + 0.0297101*x104 + 0.0220668*x105 + 0.0262624*x106
        + 0.00135762*x107 + 0.0145892*x108 + 0.0443298*x109 + 0.0202863*x110
        + 0.0186806*x111 + 0.0237227*x112 + 0.00555306*x113 + 0.0205035*x114
        - 0.000956405*x115 + 0.0262353*x116 + 0.00621992*x117 + 0.0359866*x118
        + 0.0282254*x119 + 0.0112035*x120 + 0.00425804*x121 + 0.0237851*x122
        + 0.0302917*x123 + 0.0420824*x124 + 0.0311182*x125 + 0.0287351*x126
        + 0.0231177*x127 + 0.260161*x128 + 0.0413782*x129 + 0.0284121*x130
        + 0.0463614*x131 + 0.0151833*x132 + 0.0245502*x133 - 0.00630801*x134
        + 0.022722*x135 + 0.029196*x136 + 0.00507256*x137 + 0.0270681*x138
        + 0.0265332*x139 + 0.0315183*x140 + 0.0279775*x141 + 0.0313338*x142
        + 0.0164442*x143 + 0.0167032*x144 + 0.0390957*x145 + 0.0302511*x146
        + 0.0330138*x147 + 0.0368711*x148 + 0.0142309*x149 + 0.0219238*x150
        + 0.0344858*x151 + 0.0305468*x152 + 0.0308051*x153 =E= 0;

e133..  - x78 + 0.0166684*x104 + 0.0268541*x105 - 0.0179152*x106
        - 0.0326615*x107 + 0.00475576*x108 + 0.00426272*x109 + 0.00691658*x110
        + 0.0132327*x111 + 0.0919436*x112 + 0.0152091*x113 + 0.000458956*x114
        + 0.054126*x115 + 0.0292424*x116 + 0.017547*x117 + 0.02394*x118
        + 0.00878968*x119 + 0.0781873*x120 - 0.0307454*x121 + 0.0625922*x122
        + 0.0540934*x123 + 0.0263059*x124 + 0.132862*x125 + 0.00581061*x126
        + 0.0291545*x127 + 0.0413782*x128 + 0.864462*x129 + 0.0332452*x130
        + 0.0223536*x131 - 0.0226218*x132 + 0.00506512*x133 + 0.0136614*x134
        - 0.00171717*x135 + 0.0220614*x136 + 0.0488386*x137 + 0.0187419*x138
        + 0.0118212*x139 + 0.0168342*x140 + 0.0368249*x141 + 0.0081464*x142
        + 0.0232061*x143 + 0.0158725*x144 + 0.026731*x145 + 0.0840301*x146
        - 0.02895*x147 + 0.00607089*x148 - 0.0167201*x149 + 0.00311607*x150
        + 0.0216024*x151 + 0.0193742*x152 + 0.0186019*x153 =E= 0;

e134..  - x79 + 0.0484435*x104 + 0.027074*x105 + 0.0379064*x106 + 0.116209*x107
        + 0.0521389*x108 + 0.049024*x109 + 0.0184098*x110 + 0.0121311*x111
        + 0.0195239*x112 + 0.010465*x113 + 0.0235527*x114 + 0.0214899*x115
        + 0.0723036*x116 + 0.0154299*x117 + 0.0549492*x118 + 0.0121777*x119
        + 0.0180511*x120 + 0.063618*x121 + 0.0232002*x122 + 0.0175731*x123
        + 0.0809013*x124 + 0.0324445*x125 + 0.0447495*x126 + 0.00312591*x127
        + 0.0284121*x128 + 0.0332452*x129 + 0.718124*x130 + 0.0933401*x131
        + 0.0112031*x132 + 0.0450787*x133 + 0.0514112*x134 + 0.0269758*x135
        + 0.0221642*x136 + 0.0578083*x137 + 0.0409549*x138 + 0.0444866*x139
        + 0.0213071*x140 + 0.0364048*x141 + 0.0415319*x142 - 0.0121494*x143
        + 0.0225164*x144 + 0.00473839*x145 + 0.0223248*x146 + 0.0701811*x147
        + 0.036334*x148 + 0.0241539*x149 + 0.0340267*x150 + 0.0287784*x151
        + 0.0346629*x152 + 0.0625776*x153 =E= 0;

e135..  - x80 + 0.0195086*x104 + 0.0348783*x105 + 0.0601144*x106
        + 0.038678*x107 + 0.0288774*x108 + 0.0169266*x109 + 0.030448*x110
        + 0.00762097*x111 + 0.0846076*x112 + 0.0175576*x113 + 0.0280323*x114
        + 0.0510972*x115 + 0.0829079*x116 + 0.0253711*x117 + 0.062894*x118
        - 0.00411565*x119 + 0.0553883*x120 + 0.046184*x121 + 0.0381672*x122
        + 0.0495056*x123 + 0.0566622*x124 + 0.0379165*x125 + 0.141307*x126
        + 0.022855*x127 + 0.0463614*x128 + 0.0223536*x129 + 0.0933401*x130
        + 0.737556*x131 + 0.0308089*x132 + 0.0154516*x133 + 0.0476872*x134
        + 0.0603234*x135 + 0.058259*x136 + 0.081558*x137 + 0.028766*x138
        + 0.0632953*x139 + 0.0276912*x140 + 0.0460182*x141 + 0.0542721*x142
        - 0.00178622*x143 + 0.0258447*x144 + 0.0139449*x145 + 0.079006*x146
        + 0.0549639*x147 + 0.0950764*x148 + 0.061892*x149 + 0.028681*x150
        + 0.0198934*x151 + 0.00443484*x152 + 0.0489833*x153 =E= 0;

e136..  - x81 - 0.00172113*x104 + 0.00591665*x105 + 0.0230787*x106
        + 0.0368563*x107 + 0.0109999*x108 + 0.0205726*x109 + 0.0303889*x110
        + 0.00979857*x111 + 0.0155376*x112 + 0.00903877*x113 + 0.0162413*x114
        + 0.0105086*x115 + 0.0342115*x116 + 0.0233843*x117 + 0.0103793*x118
        + 0.0382916*x119 + 0.0206269*x120 + 0.0225644*x121 + 0.00518179*x122
        + 0.0197562*x123 + 0.00316224*x124 + 0.0251723*x125 + 0.0248923*x126
        - 0.00152493*x127 + 0.0151833*x128 - 0.0226218*x129 + 0.0112031*x130
        + 0.0308089*x131 + 0.355117*x132 - 0.0130079*x133 + 0.0351114*x134
        + 0.0135977*x135 + 0.00938433*x136 + 0.00562125*x137 + 0.00941806*x138
        + 0.0503569*x139 + 0.0250779*x140 - 0.00902689*x141 - 0.0202948*x142
        + 0.0192067*x143 + 1.83651E-6*x144 + 0.000211181*x145 + 0.00971427*x146
        + 0.0184689*x147 + 0.0227801*x148 + 0.00332725*x149 + 0.0215917*x150
        + 0.0115499*x151 + 0.00820786*x152 - 0.0103539*x153 =E= 0;

e137..  - x82 + 0.0252636*x104 + 0.00567483*x105 + 0.0253176*x106
        + 0.0186023*x107 + 0.0197646*x108 + 0.0200665*x109 + 0.0144515*x110
        + 0.0857726*x111 + 0.0140732*x112 + 0.0955928*x113 + 0.0248684*x114
        + 0.0423192*x115 + 0.0249518*x116 + 0.0274335*x117 - 0.00391373*x118
        + 0.0109339*x119 + 0.0111315*x120 - 0.00479791*x121 + 0.02607*x122
        + 0.0361213*x123 + 0.0182782*x124 + 0.0551016*x125 - 0.0100499*x126
        + 0.0224089*x127 + 0.0245502*x128 + 0.00506512*x129 + 0.0450787*x130
        + 0.0154516*x131 - 0.0130079*x132 + 0.260646*x133 + 0.0259669*x134
        + 0.0122385*x135 + 0.0340091*x136 + 0.0165679*x137 + 0.0103121*x138
        + 0.0139241*x139 + 0.0203615*x140 + 0.0197817*x141 + 0.00689661*x142
        + 0.0339402*x143 + 0.0146166*x144 + 0.0985849*x145 + 0.00865143*x146
        + 0.00659537*x147 + 0.00849109*x148 + 0.0116024*x149 + 0.0163929*x150
        + 0.0943577*x151 + 0.00626848*x152 + 0.0371202*x153 =E= 0;

e138..  - x83 + 0.0485041*x104 + 0.0737284*x105 + 0.0537347*x106
        - 0.0482421*x107 + 0.0131581*x108 + 0.0222071*x109 + 0.0145622*x110
        + 0.0363383*x111 + 0.0439636*x112 + 0.014006*x113 + 0.0389028*x114
        + 0.0726699*x115 + 0.0295467*x116 + 0.0602777*x117 + 0.0410728*x118
        + 0.031946*x119 + 0.0173468*x120 + 0.0602573*x121 + 0.114225*x122
        + 0.0730253*x123 - 0.00726274*x124 + 0.0176003*x125 + 0.0621698*x126
        + 0.00210761*x127 - 0.00630801*x128 + 0.0136614*x129 + 0.0514112*x130
        + 0.0476872*x131 + 0.0351114*x132 + 0.0259669*x133 + 0.803482*x134
        + 0.0513395*x135 + 0.0337783*x136 + 0.0326809*x137 + 0.034903*x138
        + 0.0169859*x139 + 0.0154235*x140 + 0.00621089*x141 + 0.0128743*x142
        + 0.0199461*x143 + 0.0170563*x144 + 0.010903*x145 + 0.0443424*x146
        + 0.0438281*x147 - 0.0147404*x148 + 0.00432841*x149 - 0.00836232*x150
        + 0.0221273*x151 + 0.0438574*x152 + 0.00717895*x153 =E= 0;

e139..  - x84 + 0.0262706*x104 + 0.018043*x105 + 0.0423512*x106
        + 0.0297229*x107 + 0.0367543*x108 + 0.0355943*x109 + 0.0279624*x110
        + 0.00827538*x111 - 0.00383966*x112 + 0.0204842*x113 + 0.00763474*x114
        + 0.0450376*x115 + 0.0585137*x116 + 0.0231782*x117 + 0.0566892*x118
        - 0.00776923*x119 + 0.0215682*x120 + 0.0204628*x121 + 0.0555505*x122
        + 0.203661*x123 + 0.02972*x124 - 0.0113152*x125 + 0.0496847*x126
        + 0.0259124*x127 + 0.022722*x128 - 0.00171717*x129 + 0.0269758*x130
        + 0.0603234*x131 + 0.0135977*x132 + 0.0122385*x133 + 0.0513395*x134
        + 0.5382*x135 + 0.0321316*x136 + 0.0184821*x137 + 0.0775787*x138
        - 0.0230619*x139 + 0.00655453*x140 + 0.0819681*x141 + 0.0434529*x142
        - 0.0174191*x143 + 0.0546141*x144 - 0.00882772*x145 + 0.0420085*x146
        + 0.0470878*x147 + 0.00765821*x148 + 0.0416455*x149 + 0.00742993*x150
        + 0.0150879*x151 + 0.0232933*x152 + 0.046272*x153 =E= 0;

e140..  - x85 + 0.040286*x104 + 0.0506864*x105 + 0.0212233*x106
        - 0.0132566*x107 + 0.00449425*x108 + 0.0520351*x109 + 0.0126772*x110
        + 0.0237353*x111 - 0.00282887*x112 + 0.0211134*x113 + 0.0413721*x114
        + 0.0473326*x115 + 0.060553*x116 + 0.0426189*x117 + 0.0554098*x118
        + 0.0542914*x119 + 0.0196648*x120 + 0.0249042*x121 + 0.0444889*x122
        + 0.030463*x123 + 0.0107449*x124 + 0.024407*x125 + 0.0738498*x126
        + 0.00929368*x127 + 0.029196*x128 + 0.0220614*x129 + 0.0221642*x130
        + 0.058259*x131 + 0.00938433*x132 + 0.0340091*x133 + 0.0337783*x134
        + 0.0321316*x135 + 0.464461*x136 + 0.0131197*x137 + 0.00448124*x138
        + 0.0524546*x139 + 0.0341601*x140 + 0.0156738*x141 + 0.0204944*x142
        + 0.0051695*x143 + 0.00646509*x144 + 0.0219027*x145 + 0.0284132*x146
        + 0.0440143*x147 + 0.0747077*x148 + 0.0432275*x149 + 0.0389336*x150
        + 0.0257597*x151 + 0.0291694*x152 + 0.0152042*x153 =E= 0;

e141..  - x86 + 0.0472469*x104 + 0.0102095*x105 + 0.0233914*x106
        + 0.0335659*x107 + 0.0233808*x108 + 0.0601281*x109 + 0.0246242*x110
        + 0.011918*x111 + 0.0523218*x112 + 0.00752106*x113 + 0.0641178*x114
        + 0.0677206*x115 + 0.106269*x116 - 0.0106625*x117 + 0.0680514*x118
        + 0.00560612*x119 + 0.0691686*x120 + 0.0674576*x121 + 0.0654502*x122
        + 0.0603045*x123 + 0.046276*x124 + 0.0210017*x125 + 0.0257277*x126
        + 0.00670778*x127 + 0.00507256*x128 + 0.0488386*x129 + 0.0578083*x130
        + 0.081558*x131 + 0.00562125*x132 + 0.0165679*x133 + 0.0326809*x134
        + 0.0184821*x135 + 0.0131197*x136 + 0.641056*x137 + 0.0126363*x138
        + 0.0395842*x139 + 0.0317748*x140 + 0.0240502*x141 + 0.0850535*x142
        + 0.0326906*x143 + 0.048941*x144 + 0.00856892*x145 + 0.0356496*x146
        + 0.0456857*x147 + 0.0956772*x148 + 0.00217922*x149 + 0.00330275*x150
        + 0.0144084*x151 + 0.0426269*x152 + 0.0159899*x153 =E= 0;

e142..  - x87 + 0.0149359*x104 + 0.026046*x105 + 0.0439508*x106
        + 0.0233484*x107 + 0.0347541*x108 + 0.0853849*x109 + 0.0524953*x110
        + 0.0350231*x111 + 0.0498735*x112 + 0.0215184*x113 + 0.0281744*x114
        + 0.0280876*x115 + 0.0550567*x116 - 0.0128038*x117 + 0.0322278*x118
        + 0.00916447*x119 + 0.0332083*x120 + 0.0334053*x121 + 0.1057*x122
        + 0.0688081*x123 + 0.0567716*x124 + 0.0380172*x125 + 0.029468*x126
        + 0.0102413*x127 + 0.0270681*x128 + 0.0187419*x129 + 0.0409549*x130
        + 0.028766*x131 + 0.00941806*x132 + 0.0103121*x133 + 0.034903*x134
        + 0.0775787*x135 + 0.00448124*x136 + 0.0126363*x137 + 0.59993*x138
        + 0.00485423*x139 + 0.0481921*x140 + 0.0884856*x141 + 0.0443496*x142
        + 0.000462353*x143 + 0.0125155*x144 + 0.012986*x145 + 0.0229339*x146
        + 0.0606519*x147 + 0.0200474*x148 + 0.0445477*x149 + 0.00510038*x150
        + 0.0164152*x151 + 0.0614854*x152 + 0.0594357*x153 =E= 0;

e143..  - x88 + 0.0406664*x104 + 0.028928*x105 + 0.0210992*x106
        + 0.0283702*x107 + 0.0103602*x108 + 0.0619524*x109 + 0.0312623*x110
        + 0.052423*x111 + 0.0325796*x112 + 0.0439601*x113 + 0.00797455*x114
        + 0.0662562*x115 + 0.0474145*x116 + 0.0232709*x117 + 0.0309311*x118
        + 0.241202*x119 + 0.021184*x120 + 0.0420246*x121 + 0.0793985*x122
        + 0.0088743*x123 + 0.0757402*x124 + 0.0295435*x125 + 0.0594039*x126
        + 0.00604544*x127 + 0.0265332*x128 + 0.0118212*x129 + 0.0444866*x130
        + 0.0632953*x131 + 0.0503569*x132 + 0.0139241*x133 + 0.0169859*x134
        - 0.0230619*x135 + 0.0524546*x136 + 0.0395842*x137 + 0.00485423*x138
        + 0.711034*x139 + 0.0468686*x140 - 0.00982796*x141 + 0.0203043*x142
        + 0.0117209*x143 + 0.0303305*x144 + 0.0271351*x145 + 0.0439104*x146
        + 0.0162619*x147 + 0.0735187*x148 + 0.0350834*x149 + 0.0435119*x150
        + 0.052907*x151 + 0.0441511*x152 + 0.0371198*x153 =E= 0;

e144..  - x89 + 0.0158496*x104 + 0.0263349*x105 + 0.0323797*x106
        + 0.00599948*x107 + 0.0130056*x108 + 0.0124382*x109 - 0.00450929*x110
        + 0.0126844*x111 + 0.0174198*x112 - 0.00223165*x113 + 0.0166685*x114
        + 0.0159601*x115 + 0.0321235*x116 + 0.0224946*x117 + 0.021246*x118
        + 0.106316*x119 + 0.0454125*x120 + 0.00921192*x121 + 0.0472847*x122
        - 0.00140358*x123 + 0.0216336*x124 + 0.014425*x125 + 0.0270438*x126
        + 0.0298154*x127 + 0.0315183*x128 + 0.0168342*x129 + 0.0213071*x130
        + 0.0276912*x131 + 0.0250779*x132 + 0.0203615*x133 + 0.0154235*x134
        + 0.00655453*x135 + 0.0341601*x136 + 0.0317748*x137 + 0.0481921*x138
        + 0.0468686*x139 + 0.317573*x140 + 0.0419288*x141 + 0.0205774*x142
        - 0.0014221*x143 + 0.0322554*x144 + 0.0062087*x145 + 0.0397715*x146
        + 0.0187982*x147 + 0.0209489*x148 + 0.0176357*x149 + 0.0138175*x150
        + 0.00677903*x151 + 0.0193846*x152 - 0.0125789*x153 =E= 0;

e145..  - x90 + 0.0192113*x104 + 0.00500466*x105 + 0.0605467*x106
        + 0.0773339*x107 + 0.0738132*x108 + 0.0678793*x109 + 0.00303008*x110
        - 0.0275672*x111 + 0.0584371*x112 - 0.0132739*x113 + 0.0311201*x114
        + 0.0320449*x115 + 0.0904882*x116 + 0.111351*x117 + 0.0451042*x118
        + 0.0253903*x119 + 0.0591452*x120 + 0.173052*x121 + 0.0515024*x122
        + 0.105359*x123 + 0.302316*x124 + 0.0291484*x125 + 0.091022*x126
        + 0.00748321*x127 + 0.0279775*x128 + 0.0368249*x129 + 0.0364048*x130
        + 0.0460182*x131 - 0.00902689*x132 + 0.0197817*x133 + 0.00621089*x134
        + 0.0819681*x135 + 0.0156738*x136 + 0.0240502*x137 + 0.0884856*x138
        - 0.00982796*x139 + 0.0419288*x140 + 1.87032*x141 + 0.043009*x142
        + 0.00517218*x143 + 0.0297142*x144 - 0.0199842*x145 + 0.036357*x146
        + 0.0397478*x147 + 0.0381107*x148 + 0.0149564*x149 - 0.00558486*x150
        - 0.0311402*x151 + 0.0486628*x152 + 0.0783624*x153 =E= 0;

e146..  - x91 + 0.025865*x104 + 0.0219235*x105 + 0.0177464*x106
        - 0.0169835*x107 + 0.00162175*x108 + 0.034427*x109 + 0.0242962*x110
        + 0.00965523*x111 + 0.0329779*x112 + 0.022962*x113 + 0.0134802*x114
        + 0.0129753*x115 + 0.0205648*x116 + 0.0228586*x117 + 0.0699602*x118
        + 0.0589532*x119 + 0.0351681*x120 + 0.0155911*x121 + 0.0325045*x122
        + 0.00976224*x123 + 0.0358365*x124 + 0.0318071*x125 + 0.0256548*x126
        + 0.0286557*x127 + 0.0313338*x128 + 0.0081464*x129 + 0.0415319*x130
        + 0.0542721*x131 - 0.0202948*x132 + 0.00689661*x133 + 0.0128743*x134
        + 0.0434529*x135 + 0.0204944*x136 + 0.0850535*x137 + 0.0443496*x138
        + 0.0203043*x139 + 0.0205774*x140 + 0.043009*x141 + 0.561392*x142
        + 0.00748556*x143 + 0.0263494*x144 + 0.0239472*x145 + 0.0354393*x146
        + 0.0180308*x147 + 0.0241848*x148 + 0.0319257*x149 + 0.00258045*x150
        + 0.0244348*x151 + 0.0383735*x152 + 0.0159058*x153 =E= 0;

e147..  - x92 - 0.01552*x104 + 0.00580656*x105 + 0.00410511*x106
        + 0.0345757*x107 - 0.0177235*x108 - 0.00596301*x109 + 0.00687237*x110
        + 0.0264688*x111 + 0.0018215*x112 + 0.0460316*x113 + 0.0112186*x114
        + 0.0079884*x115 - 0.0241423*x116 + 0.00985532*x117 + 0.0742471*x118
        + 0.018451*x119 - 0.0126556*x120 - 8.91849E-5*x121 - 0.000934086*x122
        + 0.010822*x123 - 0.0240343*x124 + 0.0214441*x125 + 0.00861329*x126
        - 0.00402701*x127 + 0.0164442*x128 + 0.0232061*x129 - 0.0121494*x130
        - 0.00178622*x131 + 0.0192067*x132 + 0.0339402*x133 + 0.0199461*x134
        - 0.0174191*x135 + 0.0051695*x136 + 0.0326906*x137 + 0.000462353*x138
        + 0.0117209*x139 - 0.0014221*x140 + 0.00517218*x141 + 0.00748556*x142
        + 0.837533*x143 - 0.0124601*x144 + 0.0353674*x145 + 0.011689*x146
        - 0.0112885*x147 + 0.03148*x148 - 0.0205127*x149 + 0.0220816*x150
        + 0.0394036*x151 - 0.00446327*x152 + 0.00415728*x153 =E= 0;

e148..  - x93 + 0.0202551*x104 + 0.00390011*x105 + 0.02629*x106
        + 0.0198984*x107 + 0.0326633*x108 + 0.0403963*x109 + 0.00470055*x110
        + 0.0063148*x111 + 0.035121*x112 + 0.00375034*x113 + 0.0234496*x114
        + 0.0205329*x115 + 0.0237661*x116 + 0.00904594*x117 + 0.0142755*x118
        + 0.00434978*x119 + 0.0196732*x120 + 0.0174939*x121 + 0.0109386*x122
        + 0.033137*x123 + 0.0195627*x124 + 0.0252179*x125 + 0.015162*x126
        + 0.0255538*x127 + 0.0167032*x128 + 0.0158725*x129 + 0.0225164*x130
        + 0.0258447*x131 + 1.83651E-6*x132 + 0.0146166*x133 + 0.0170563*x134
        + 0.0546141*x135 + 0.00646509*x136 + 0.048941*x137 + 0.0125155*x138
        + 0.0303305*x139 + 0.0322554*x140 + 0.0297142*x141 + 0.0263494*x142
        - 0.0124601*x143 + 0.425295*x144 + 0.0255164*x145 + 0.0108587*x146
        + 0.0331591*x147 + 0.0168064*x148 + 0.0179578*x149 + 0.0214446*x150
        + 0.000949393*x151 - 0.000973624*x152 + 0.0417876*x153 =E= 0;

e149..  - x94 + 0.0250173*x104 + 0.0169661*x105 - 3.54171E-5*x106
        - 0.0015676*x107 + 0.0315272*x108 + 0.0216192*x109 + 0.0166233*x110
        + 0.061475*x111 + 0.0451754*x112 + 0.0814755*x113 + 0.0406577*x114
        + 0.0514345*x115 + 0.0468751*x116 + 0.0278168*x117 + 0.0145467*x118
        - 0.0195578*x119 - 0.00542976*x120 + 0.0300703*x121 + 0.0334853*x122
        + 0.0444231*x123 + 0.00192649*x124 + 0.0996684*x125 + 0.0124916*x126
        + 0.032631*x127 + 0.0390957*x128 + 0.026731*x129 + 0.00473839*x130
        + 0.0139449*x131 + 0.000211181*x132 + 0.0985849*x133 + 0.010903*x134
        - 0.00882772*x135 + 0.0219027*x136 + 0.00856892*x137 + 0.012986*x138
        + 0.0271351*x139 + 0.0062087*x140 - 0.0199842*x141 + 0.0239472*x142
        + 0.0353674*x143 + 0.0255164*x144 + 0.339674*x145 + 0.0207699*x146
        + 0.0293617*x147 + 0.00199027*x148 + 0.0272889*x149 + 0.0223652*x150
        + 0.0672467*x151 + 0.0325701*x152 + 0.0528457*x153 =E= 0;

e150..  - x95 + 0.0300742*x104 + 0.0132314*x105 + 0.00740154*x106
        + 0.0130756*x107 + 0.0137274*x108 + 0.0575342*x109 + 0.0338767*x110
        + 0.0152488*x111 + 0.0294785*x112 + 0.0194309*x113 + 0.0269886*x114
        + 0.0598854*x115 + 0.107419*x116 - 0.00764888*x117 + 0.0308376*x118
        + 0.0529846*x119 + 0.0293172*x120 + 0.0138456*x121 + 0.0386005*x122
        + 0.076013*x123 + 0.0847061*x124 + 0.084175*x125 + 0.0608478*x126
        + 0.0174174*x127 + 0.0302511*x128 + 0.0840301*x129 + 0.0223248*x130
        + 0.079006*x131 + 0.00971427*x132 + 0.00865143*x133 + 0.0443424*x134
        + 0.0420085*x135 + 0.0284132*x136 + 0.0356496*x137 + 0.0229339*x138
        + 0.0439104*x139 + 0.0397715*x140 + 0.036357*x141 + 0.0354393*x142
        + 0.011689*x143 + 0.0108587*x144 + 0.0207699*x145 + 0.624909*x146
        + 0.0415221*x147 + 0.0175645*x148 + 0.0420854*x149 + 0.0151647*x150
        + 0.0301752*x151 + 0.0397327*x152 + 0.0285634*x153 =E= 0;

e151..  - x96 + 0.0457582*x104 + 0.0553852*x105 + 0.029982*x106 + 0.037182*x107
        + 0.0449631*x108 + 0.0431554*x109 + 0.0316136*x110 + 0.00466608*x111
        + 0.0478265*x112 + 0.0337004*x113 + 0.0669174*x114 + 0.0468727*x115
        + 0.0581458*x116 + 0.000394324*x117 + 0.0376405*x118 + 0.0382343*x119
        + 0.00709645*x120 + 0.10028*x121 + 0.00902989*x122 + 0.0841729*x123
        + 0.0664952*x124 + 0.0526343*x125 + 0.0891352*x126 + 0.00926293*x127
        + 0.0330138*x128 - 0.02895*x129 + 0.0701811*x130 + 0.0549639*x131
        + 0.0184689*x132 + 0.00659537*x133 + 0.0438281*x134 + 0.0470878*x135
        + 0.0440143*x136 + 0.0456857*x137 + 0.0606519*x138 + 0.0162619*x139
        + 0.0187982*x140 + 0.0397478*x141 + 0.0180308*x142 - 0.0112885*x143
        + 0.0331591*x144 + 0.0293617*x145 + 0.0415221*x146 + 0.61166*x147
        + 0.023754*x148 + 0.0144774*x149 + 0.0221366*x150 + 0.0165389*x151
        + 0.0968466*x152 + 0.0565271*x153 =E= 0;

e152..  - x97 + 0.0541579*x104 + 0.0360275*x105 + 0.0222447*x106
        - 0.000639177*x107 + 0.0354067*x108 + 0.0301243*x109 + 0.0198725*x110
        + 0.0199945*x111 + 0.063111*x112 + 0.0150753*x113 + 0.0527525*x114
        + 0.0401766*x115 + 0.100914*x116 + 0.0384752*x117 + 0.113165*x118
        + 0.0219991*x119 + 0.0386043*x120 + 0.0350366*x121 + 0.0304521*x122
        + 0.0698484*x123 + 0.0266409*x124 - 0.0240326*x125 + 0.110423*x126
        + 0.0191143*x127 + 0.0368711*x128 + 0.00607089*x129 + 0.036334*x130
        + 0.0950764*x131 + 0.0227801*x132 + 0.00849109*x133 - 0.0147404*x134
        + 0.00765821*x135 + 0.0747077*x136 + 0.0956772*x137 + 0.0200474*x138
        + 0.0735187*x139 + 0.0209489*x140 + 0.0381107*x141 + 0.0241848*x142
        + 0.03148*x143 + 0.0168064*x144 + 0.00199027*x145 + 0.0175645*x146
        + 0.023754*x147 + 0.505992*x148 + 0.0190005*x149 + 0.0138386*x150
        + 0.0142602*x151 + 0.00591109*x152 + 0.0457705*x153 =E= 0;

e153..  - x98 + 0.0171247*x104 + 0.0197326*x105 + 0.0312372*x106
        + 0.0998925*x107 - 0.00743382*x108 + 0.0463217*x109 + 0.0532481*x110
        - 0.00250988*x111 - 0.00297381*x112 + 0.0253122*x113 + 0.0160718*x114
        + 0.019553*x115 + 0.0607108*x116 - 0.00655471*x117 + 0.0286304*x118
        + 0.00277819*x119 - 0.00124433*x120 + 0.000292779*x121
        + 0.00077747*x122 + 0.0180817*x123 + 0.021824*x124 + 0.0156919*x125
        + 0.0208603*x126 + 0.0247375*x127 + 0.0142309*x128 - 0.0167201*x129
        + 0.0241539*x130 + 0.061892*x131 + 0.00332725*x132 + 0.0116024*x133
        + 0.00432841*x134 + 0.0416455*x135 + 0.0432275*x136 + 0.00217922*x137
        + 0.0445477*x138 + 0.0350834*x139 + 0.0176357*x140 + 0.0149564*x141
        + 0.0319257*x142 - 0.0205127*x143 + 0.0179578*x144 + 0.0272889*x145
        + 0.0420854*x146 + 0.0144774*x147 + 0.0190005*x148 + 0.597857*x149
        + 0.00518793*x150 - 0.00171351*x151 + 0.000707685*x152 + 0.0183899*x153
        =E= 0;

e154..  - x99 + 0.022282*x104 + 0.0330198*x105 + 0.01125*x106 + 0.0119414*x107
        + 0.0422946*x108 + 0.00949802*x109 - 0.00211416*x110 + 0.108053*x111
        + 0.0034549*x112 + 0.028697*x113 - 0.00681157*x114 - 0.00200865*x115
        + 0.0490476*x116 + 0.0198615*x117 + 0.00375851*x118 + 0.0190704*x119
        + 0.0159396*x120 - 0.0100806*x121 + 0.0105187*x122 + 0.0686589*x123
        + 0.0173507*x124 + 0.0902632*x125 + 0.0291562*x126 + 0.0295032*x127
        + 0.0219238*x128 + 0.00311607*x129 + 0.0340267*x130 + 0.028681*x131
        + 0.0215917*x132 + 0.0163929*x133 - 0.00836232*x134 + 0.00742993*x135
        + 0.0389336*x136 + 0.00330275*x137 + 0.00510038*x138 + 0.0435119*x139
        + 0.0138175*x140 - 0.00558486*x141 + 0.00258045*x142 + 0.0220816*x143
        + 0.0214446*x144 + 0.0223652*x145 + 0.0151647*x146 + 0.0221366*x147
        + 0.0138386*x148 + 0.00518793*x149 + 0.934228*x150 + 0.0204159*x151
        + 0.0146558*x152 + 0.00702347*x153 =E= 0;

e155..  - x100 + 0.0117581*x104 - 0.00190715*x105 + 0.0146378*x106
        + 0.0273734*x107 + 0.0129521*x108 + 0.0411483*x109 + 0.0350275*x110
        + 0.262981*x111 + 0.0113564*x112 + 0.089414*x113 + 0.0338082*x114
        + 0.0315674*x115 + 0.0213784*x116 + 0.0528534*x117 + 0.0150881*x118
        + 0.0137734*x119 + 0.0153994*x120 + 0.0175584*x121 + 0.062919*x122
        + 0.0259525*x123 + 0.0288613*x124 + 0.0781479*x125 + 0.0195608*x126
        + 0.00958979*x127 + 0.0344858*x128 + 0.0216024*x129 + 0.0287784*x130
        + 0.0198934*x131 + 0.0115499*x132 + 0.0943577*x133 + 0.0221273*x134
        + 0.0150879*x135 + 0.0257597*x136 + 0.0144084*x137 + 0.0164152*x138
        + 0.052907*x139 + 0.00677903*x140 - 0.0311402*x141 + 0.0244348*x142
        + 0.0394036*x143 + 0.000949393*x144 + 0.0672467*x145 + 0.0301752*x146
        + 0.0165389*x147 + 0.0142602*x148 - 0.00171351*x149 + 0.0204159*x150
        + 0.394462*x151 + 0.0171769*x152 + 0.0605417*x153 =E= 0;

e156..  - x101 + 0.0371834*x104 + 0.0295934*x105 + 0.0468662*x106
        + 0.02049*x107 + 0.00875959*x108 + 0.0408655*x109 + 0.02268*x110
        + 0.019829*x111 + 0.0307674*x112 + 0.00820558*x113 + 0.037939*x114
        + 0.0257717*x115 + 0.0605318*x116 + 0.0302347*x117 + 0.0324491*x118
        + 0.0247039*x119 + 0.0189738*x120 + 0.0245945*x121 + 0.0307183*x122
        + 0.0211577*x123 + 0.0516674*x124 + 0.0631282*x125 + 0.0231042*x126
        + 0.00494656*x127 + 0.0305468*x128 + 0.0193742*x129 + 0.0346629*x130
        + 0.00443484*x131 + 0.00820786*x132 + 0.00626848*x133 + 0.0438574*x134
        + 0.0232933*x135 + 0.0291694*x136 + 0.0426269*x137 + 0.0614854*x138
        + 0.0441511*x139 + 0.0193846*x140 + 0.0486628*x141 + 0.0383735*x142
        - 0.00446327*x143 - 0.000973624*x144 + 0.0325701*x145 + 0.0397327*x146
        + 0.0968466*x147 + 0.00591109*x148 + 0.000707685*x149 + 0.0146558*x150
        + 0.0171769*x151 + 0.341022*x152 + 0.00832894*x153 =E= 0;

e157..  - x102 + 0.0484144*x104 + 0.0241729*x105 + 0.0428647*x106
        + 0.0270134*x107 + 0.0321264*x108 + 0.0612*x109 + 0.0176171*x110
        + 0.046412*x111 + 0.01841*x112 + 0.0263976*x113 + 0.0412414*x114
        + 0.0354469*x115 + 0.117971*x116 + 0.0245747*x117 + 0.0188227*x118
        + 0.0443843*x119 + 0.0138573*x120 + 0.0589905*x121 + 0.0445361*x122
        + 0.0154683*x123 + 0.0520769*x124 + 0.0667215*x125 + 0.0492018*x126
        + 0.00367233*x127 + 0.0308051*x128 + 0.0186019*x129 + 0.0625776*x130
        + 0.0489833*x131 - 0.0103539*x132 + 0.0371202*x133 + 0.00717895*x134
        + 0.046272*x135 + 0.0152042*x136 + 0.0159899*x137 + 0.0594357*x138
        + 0.0371198*x139 - 0.0125789*x140 + 0.0783624*x141 + 0.0159058*x142
        + 0.00415728*x143 + 0.0417876*x144 + 0.0528457*x145 + 0.0285634*x146
        + 0.0565271*x147 + 0.0457705*x148 + 0.0183899*x149 + 0.00702347*x150
        + 0.0605417*x151 + 0.00832894*x152 + 0.466233*x153 =E= 0;

e158..  - x103 + 1.01354*x104 + 1.03678*x105 + 1.02537*x106 + 1.20097*x107
        + 1.0486*x108 + 1.04423*x109 + 1.02352*x110 + 1.05457*x111
        + 1.00423*x112 + 1.01635*x113 + 1.03168*x114 + 1.03898*x115
        + 1.07423*x116 + 1.02661*x117 + 1.03832*x118 + 1.07971*x119
        + 1.00361*x120 + 1.05973*x121 + 1.12325*x122 + 1.22312*x123
        + 1.08029*x124 + 1.14925*x125 + 1.09365*x126 + 1.02842*x127
        + 1.01159*x128 + 1.03784*x129 + 1.07922*x130 + 1.06787*x131
        + 1.04395*x132 + 1.01316*x133 + 1.06574*x134 + 1.03358*x135
        + 1.0358*x136 + 1.04596*x137 + 1.0449*x138 + 1.08528*x139
        + 1.02563*x140 + 1.18805*x141 + 1.01253*x142 + 1.03998*x143
        + 1.03411*x144 + 1.01622*x145 + 1.04489*x146 + 1.07221*x147
        + 1.03091*x148 + 1.02558*x149 + 1.0909*x150 + 1.04665*x151
        + 1.0206*x152 + 1.0418*x153 + x154 =E= 0.7;

* set non-default bounds
x104.up = 1;
x105.up = 1;
x106.up = 1;
x107.up = 1;
x108.up = 1;
x109.up = 1;
x110.up = 1;
x111.up = 1;
x112.up = 1;
x113.up = 1;
x114.up = 1;
x115.up = 1;
x116.up = 1;
x117.up = 1;
x118.up = 1;
x119.up = 1;
x120.up = 1;
x121.up = 1;
x122.up = 1;
x123.up = 1;
x124.up = 1;
x125.up = 1;
x126.up = 1;
x127.up = 1;
x128.up = 1;
x129.up = 1;
x130.up = 1;
x131.up = 1;
x132.up = 1;
x133.up = 1;
x134.up = 1;
x135.up = 1;
x136.up = 1;
x137.up = 1;
x138.up = 1;
x139.up = 1;
x140.up = 1;
x141.up = 1;
x142.up = 1;
x143.up = 1;
x144.up = 1;
x145.up = 1;
x146.up = 1;
x147.up = 1;
x148.up = 1;
x149.up = 1;
x150.up = 1;
x151.up = 1;
x152.up = 1;
x153.up = 1;
x154.up = 1;

Model m / all /;

m.limrow=0; m.limcol=0;
m.tolproj=0.0;

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

$if not set MINLP $set MINLP MINLP
Solve m using %MINLP% minimizing objvar;


Last updated: 2022-04-26 Git hash: de668763
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