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QPLIB_8381

Formats gms lp mod qplib
Problem type probtype LMQ
Solution point objective value solobjvalue -1.10343178 (gdx, sol)
Solution point infeasibility solinfeasibility 2.2204e-16
Donor donor JP Vielma
#Variables nvars 204
#Binary Variables nbinvars 51
#Integer Variables nintvars 0
#Bounded non-binary Variables nboundedvars 0
#Variables with only one bound nsingleboundedvars 2
#Nonlinear Variables nnlvars 102
#Nonlinear Binary Variables nnlbinvars 0
#Nonlinear Integer Variables nnlintvars 0
Objective Sense objsense min
Objective type objtype linear
Objective curvature objcurvature linear
#Negative eigenvalues in objective matrix nobjquadnegev  
#Positive eigenvalues in objective matrix nobjquadposev  
#Nonzeros in Objective nobjnz 51
#Nonlinear Nonzeros in Objective nobjnlnz 0
#Quadratic Terms in Objective nobjquadnz 0
#Square Terms in Objective nobjquaddiagnz 0
#Constraints ncons 157
#Linear Constraints nlincons 155
#Quadratic Constraints nquadcons 2
#Diagonal Quadratic Constraints ndiagquadcons 2
Constraints curvature conscurvature indefinite
#Convex Nonlinear Constraints nconvexnlcons 0
#Concave Nonlinear Constraints nconcavenlcons 0
#Indefinite Nonlinear Constraints nindefinitenlcons 2
#Nonzeros in Jacobian njacobiannz 5510
#Nonlinear Nonzeros in Jacobian njacobiannlnz 102
#Nonzeros in (Upper-Left) Hessian of Lagrangian nlaghessiannz 102
#Nonzeros in Diagonal of Hessian of Lagrangian nlaghessiandiagnz 102
#Blocks in Hessian of Lagrangian nlaghessianblocks 102
Minimal blocksize in Hessian of Lagrangian laghessianminblocksize 1
Maximal blocksize in Hessian of Lagrangian laghessianmaxblocksize 1
Average blocksize in Hessian of Lagrangian laghessianavgblocksize 1.0
Sparsity Jacobian
Sparsity Lag. Hessian

QPLIB_8381.gms

$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        0        0        0        0        0        0        0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       5562     5460      102        0
*
*  Solve m using MIQCP 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
          ,b53,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68,b69
          ,b70,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85,b86
          ,b87,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101,b102
          ,b103,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
          ,x155,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167
          ,x168,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180
          ,x181,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193
          ,x194,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205;

Positive Variables  x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17
          ,x18,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34
          ,x35,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51
          ,x52,x154,x205;

Binary Variables  b53,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67
          ,b68,b69,b70,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84
          ,b85,b86,b87,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100
          ,b101,b102,b103;

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 - 1.158041804*x2 - 1.039647139*x3 - 1.01510917*x4
      - 1.069892701*x5 - 1.025657065*x6 - 1.061002011*x7 - 1.026796544*x8
      - 1.132143502*x9 - 1.051244499*x10 - 1.037880812*x11 - 1.050100863*x12
      - 1.03832451*x13 - 1.048785993*x14 - 1.033320302*x15 - 1.01978133*x16
      - 1.129241946*x17 - 1.123248137*x18 - 1.188050707*x19 - 1.030883461*x20
      - 1.025605688*x21 - 1.099176571*x22 - 1.052694385*x23 - 1.028090346*x24
      - 1.163811269*x25 - 1.042606906*x26 - 1.039190169*x27 - 1.027838044*x28
      - 1.011375218*x29 - 1.079713039*x30 - 1.027371721*x31 - 1.059468724*x32
      - 1.0499472*x33 - 1.033011152*x34 - 1.045959409*x35 - 1.068256264*x36
      - 1.053366288*x37 - 1.030453648*x38 - 1.059449404*x39 - 1.026604255*x40
      - 1.037443165*x41 - 1.038082541*x42 - 1.033531967*x43 - 1.075422588*x44
      - 1.371102807*x45 - 1.10711627*x46 - 1.054086497*x47 - 1.080037871*x48
      - 1.060403835*x49 - 1.058237709*x50 - 1.026188162*x51 - x52 =E= 0;

e2..    x2 - b53 =L= 0;

e3..    x3 - b54 =L= 0;

e4..    x4 - b55 =L= 0;

e5..    x5 - b56 =L= 0;

e6..    x6 - b57 =L= 0;

e7..    x7 - b58 =L= 0;

e8..    x8 - b59 =L= 0;

e9..    x9 - b60 =L= 0;

e10..    x10 - b61 =L= 0;

e11..    x11 - b62 =L= 0;

e12..    x12 - b63 =L= 0;

e13..    x13 - b64 =L= 0;

e14..    x14 - b65 =L= 0;

e15..    x15 - b66 =L= 0;

e16..    x16 - b67 =L= 0;

e17..    x17 - b68 =L= 0;

e18..    x18 - b69 =L= 0;

e19..    x19 - b70 =L= 0;

e20..    x20 - b71 =L= 0;

e21..    x21 - b72 =L= 0;

e22..    x22 - b73 =L= 0;

e23..    x23 - b74 =L= 0;

e24..    x24 - b75 =L= 0;

e25..    x25 - b76 =L= 0;

e26..    x26 - b77 =L= 0;

e27..    x27 - b78 =L= 0;

e28..    x28 - b79 =L= 0;

e29..    x29 - b80 =L= 0;

e30..    x30 - b81 =L= 0;

e31..    x31 - b82 =L= 0;

e32..    x32 - b83 =L= 0;

e33..    x33 - b84 =L= 0;

e34..    x34 - b85 =L= 0;

e35..    x35 - b86 =L= 0;

e36..    x36 - b87 =L= 0;

e37..    x37 - b88 =L= 0;

e38..    x38 - b89 =L= 0;

e39..    x39 - b90 =L= 0;

e40..    x40 - b91 =L= 0;

e41..    x41 - b92 =L= 0;

e42..    x42 - b93 =L= 0;

e43..    x43 - b94 =L= 0;

e44..    x44 - b95 =L= 0;

e45..    x45 - b96 =L= 0;

e46..    x46 - b97 =L= 0;

e47..    x47 - b98 =L= 0;

e48..    x48 - b99 =L= 0;

e49..    x49 - b100 =L= 0;

e50..    x50 - b101 =L= 0;

e51..    x51 - b102 =L= 0;

e52..    x52 - b103 =L= 0;

e53..    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 =E= 1;

e54..    b53 + b54 + b55 + b56 + b57 + b58 + b59 + b60 + b61 + b62 + b63 + b64
       + b65 + b66 + b67 + b68 + b69 + b70 + b71 + b72 + b73 + b74 + b75 + b76
       + b77 + b78 + b79 + b80 + b81 + b82 + b83 + b84 + b85 + b86 + b87 + b88
       + b89 + b90 + b91 + b92 + b93 + b94 + b95 + b96 + b97 + b98 + b99 + b100
       + b101 + b102 + b103 =L= 10;

e55..    0.8533183675*x2 + 0.01710638481*x3 + 0.002652295719*x4
       - 0.004386782216*x5 + 0.01500605112*x6 + 0.009990300552*x7
       + 0.02324455368*x8 + 0.01491715333*x9 + 0.0187639534*x10
       + 0.01248348195*x11 + 0.01090872283*x12 + 0.01909092979*x13
       + 0.02888107484*x14 + 0.01411606184*x15 + 0.004532608341*x16
       + 0.004617075563*x17 + 0.00652870386*x18 + 0.02791862326*x19
       + 0.0126312378*x20 + 0.02385777756*x21 + 0.005875907524*x22
       + 0.01233143807*x23 + 0.01233269173*x24 - 0.0117739058*x25
       + 0.02185033952*x26 + 0.003182731855*x27 + 0.01180459184*x28
       + 0.002457557532*x29 + 0.1697330472*x30 + 0.01921667981*x31
       + 0.008534779635*x32 - 0.01461546685*x33 + 0.007889876587*x34
       + 0.01417864029*x35 + 0.009368242552*x36 + 0.01814163829*x37
       + 0.01779499792*x38 + 0.03659224556*x39 + 0.008609625123*x40
       + 0.007197216742*x41 + 0.01673415508*x42 + 0.01490823638*x43
       + 0.00367816636*x44 - 0.001403827751*x45 + 0.02040254732*x46
       + 0.007106759202*x47 + 0.008920097333*x48 + 0.01077041008*x49
       + 0.009080468471*x50 + 0.008075225139*x51 - x104 =E= 0;

e56..    0.01710638481*x2 + 0.2252513232*x3 + 0.006415495309*x4
       + 0.005240155654*x5 + 0.02109488851*x6 - 0.006962778617*x7
       + 0.01866669347*x8 + 0.03186739683*x9 + 0.00993595073*x10
       + 0.02272029394*x11 + 0.02249319708*x12 + 0.01612283561*x13
       + 0.02017100774*x14 + 0.00353103674*x15 + 0.009537651736*x16
       + 0.04430838642*x17 + 0.0157399083*x18 + 0.003411739002*x19
       + 0.01836669163*x20 - 0.006658658828*x21 - 0.002404043149*x22
       + 0.01233945219*x23 + 0.02049553133*x24 - 0.004216679055*x25
       + 0.01133155365*x26 + 0.01574657816*x27 + 0.004879258424*x28
       + 0.02557587732*x29 + 0.01677189187*x30 + 0.007102281428*x31
       + 0.01228020055*x32 + 0.009529212917*x33 + 0.01479233991*x34
       + 0.007753282536*x35 - 0.007720097873*x36 + 0.01307230614*x37
       + 0.03176070844*x38 + 0.02987727562*x39 + 0.003187720919*x40
       - 0.001703869264*x41 - 0.001610932411*x42 + 0.007548832011*x43
       - 0.008371372669*x44 + 0.03196070438*x45 + 0.01739843215*x46
       + 0.0095822596*x47 + 0.001084467641*x48 + 0.01129533052*x49
       + 0.009508750621*x50 + 0.005087945509*x51 - x105 =E= 0;

e57..    0.002652295719*x2 + 0.006415495309*x3 + 0.1285997495*x4
       + 0.01229905996*x5 + 0.01325545946*x6 + 0.00696053493*x7
       + 0.008923076709*x8 + 0.002055176649*x9 + 0.01579832346*x10
       + 0.002284123471*x11 + 0.01283933327*x12 + 0.008829441628*x13
       + 0.01449544757*x14 + 0.01985718757*x15 + 0.01012875685*x16
       - 0.004341967736*x17 + 0.01150602626*x18 + 0.01721451002*x19
       + 0.003901671865*x20 + 0.01553238039*x21 + 0.01015265311*x22
       + 0.007690992326*x23 + 0.0155052302*x24 + 0.006219330042*x25
       + 0.007950311707*x26 + 0.0139041443*x27 + 0.01686974308*x28
       + 0.01288083251*x29 + 0.007612418806*x30 + 0.007512978935*x31
       + 0.005879413074*x32 + 0.01038521732*x33 + 0.01773081309*x34
       + 0.01116473728*x35 + 0.01774248609*x36 + 0.002590411656*x37
       + 0.01474620094*x38 + 0.007342348626*x39 + 0.005767096304*x40
       + 0.01152730041*x41 + 0.01258438577*x42 + 0.009419355193*x43
       + 0.0192330556*x44 + 0.0112119646*x45 + 0.009039615818*x46
       + 0.002618276879*x47 - 0.0001859601201*x48 + 0.009374843589*x49
       + 0.01227332873*x50 + 0.01202620081*x51 - x106 =E= 0;

e58..  - 0.004386782216*x2 + 0.005240155654*x3 + 0.01229905996*x4
       + 0.3667541219*x5 + 0.02470466474*x6 + 0.0426624588*x7
       + 0.01460070491*x8 + 0.02364098004*x9 + 0.01795750857*x10
       + 0.01821777745*x11 - 0.004371840914*x12 + 0.02934329373*x13
       + 0.009097579026*x14 + 0.01750750185*x15 + 0.01390078992*x16
       + 0.006775481529*x17 + 0.03520149582*x18 + 0.03423708567*x19
       + 0.01113361769*x20 + 0.009749022151*x21 + 0.008450454067*x22
       + 0.03533580733*x23 + 0.02476408675*x24 - 0.007897586744*x25
       + 0.0261399241*x26 + 0.02279143329*x27 - 0.005584516874*x28
       + 0.008950430366*x29 + 0.03122997654*x30 + 0.02020697006*x31
       + 0.02603236184*x32 + 0.0008300089957*x33 + 0.02747293188*x34
       + 0.02075233503*x35 + 0.01872934802*x36 - 0.00167332997*x37
       + 0.009662407332*x38 + 0.03789453969*x39 + 0.0003101975821*x40
       + 0.03263989611*x41 + 0.03561040272*x42 + 0.01501428054*x43
       + 0.01789836288*x44 + 0.03777257734*x45 + 0.02696067266*x46
       + 0.01064065851*x47 + 0.04919582559*x48 + 0.02510109754*x49
       + 0.001399761024*x50 + 0.02672754448*x51 - x107 =E= 0;

e59..    0.01500605112*x2 + 0.02109488851*x3 + 0.01325545946*x4
       + 0.02470466474*x5 + 0.1424283754*x6 + 0.01413975841*x7
       + 0.03043614399*x8 + 0.002309068496*x9 + 0.01008868021*x10
       + 0.02353879831*x11 + 0.01439369418*x12 + 0.02225644048*x13
       + 0.01300966108*x14 + 0.01621843535*x15 + 0.03431778831*x16
       + 0.003934524599*x17 + 0.01058799627*x18 + 0.009965846916*x19
       + 0.04239043199*x20 + 0.008303628864*x21 + 0.006680896017*x22
       + 0.008506597312*x23 + 0.03384988686*x24 + 0.01062543185*x25
       + 0.02152092455*x26 + 0.01688885847*x27 + 0.01280842575*x28
       + 0.003650283496*x29 + 0.001557444164*x30 + 0.001251567496*x31
       + 0.01374725339*x32 + 0.009428446459*x33 + 0.02477197335*x34
       + 0.01826485416*x35 + 0.01149428344*x36 + 0.009792057489*x37
       + 0.0359376877*x38 + 0.04569751374*x39 + 0.02327188016*x40
       + 0.006301283433*x41 + 0.01168783572*x42 + 0.01652138094*x43
       + 0.01468991581*x44 + 0.002623062369*x45 + 0.01232608987*x46
       + 0.01630818656*x47 + 0.00197188999*x48 + 0.01163769225*x49
       + 0.0142268677*x50 + 0.01631542179*x51 - x108 =E= 0;

e60..    0.009990300552*x2 - 0.006962778617*x3 + 0.00696053493*x4
       + 0.0426624588*x5 + 0.01413975841*x6 + 0.3483924947*x7
       + 0.001104012266*x8 + 0.03823361985*x9 + 0.009582833924*x10
       + 0.01042249672*x11 + 0.007401753525*x12 + 0.02325204611*x13
       + 0.02079400635*x14 - 0.004353268049*x15 + 0.008128945194*x16
       + 0.01311233768*x17 + 0.02198956152*x18 + 0.01171540018*x19
       + 0.007920233931*x20 + 0.001690611909*x21 + 0.05714788199*x22
       + 0.02452010236*x23 + 0.01180504444*x24 - 0.0008734045711*x25
       + 0.008387506393*x26 + 0.01541103606*x27 - 0.001025788989*x28
       + 0.00165854118*x29 + 0.01429013949*x30 + 0.008453538667*x31
       + 0.01953546853*x32 + 0.01155201973*x33 + 0.02016031739*x34
       + 0.01354411357*x35 + 0.01862650299*x36 + 0.006093854419*x37
       + 0.01225810462*x38 + 0.003782453733*x39 + 0.004298541186*x40
       + 0.03136004653*x41 + 0.01859953912*x42 + 0.004803686626*x43
       + 0.0122951743*x44 + 0.029054195*x45 + 0.0323414549*x46
       + 0.007549919778*x47 + 0.006322249895*x48 + 0.002014194504*x49
       + 0.008878701916*x50 + 0.008580366609*x51 - x109 =E= 0;

e61..    0.02324455368*x2 + 0.01866669347*x3 + 0.008923076709*x4
       + 0.01460070491*x5 + 0.03043614399*x6 + 0.001104012266*x7
       + 0.1356615938*x8 + 0.008413438534*x9 + 0.01391858275*x10
       + 0.01997531241*x11 + 0.0213705146*x12 + 0.01168724864*x13
       + 0.01939184993*x14 + 0.01427515808*x15 + 0.03069535638*x16
       + 0.01330412887*x17 + 0.01323675024*x18 + 0.009707960831*x19
       + 0.03291205338*x20 + 0.002373551699*x21 + 0.003635404179*x22
       + 0.01871411484*x23 + 0.0263179022*x24 + 0.007858657841*x25
       - 0.0001591736852*x26 + 0.004665367121*x27 + 0.007226126297*x28
       + 0.01038123477*x29 - 0.001883913744*x30 + 0.004729135987*x31
       + 0.01326720185*x32 + 0.01170352257*x33 + 0.02007705725*x34
       + 0.01744343572*x35 + 0.011365812*x36 + 0.01324336062*x37
       + 0.03444135226*x38 + 0.0337074357*x39 + 0.01262141805*x40
       + 0.009892608809*x41 + 0.008125685562*x42 + 0.01342106933*x43
       + 0.01090955663*x44 - 0.002385096333*x45 + 0.009945190546*x46
       + 0.01863347151*x47 + 0.00936653439*x48 + 0.006417807378*x49
       + 0.009333718928*x50 + 0.01817314183*x51 - x110 =E= 0;

e62..    0.01491715333*x2 + 0.03186739683*x3 + 0.002055176649*x4
       + 0.02364098004*x5 + 0.002309068496*x6 + 0.03823361985*x7
       + 0.008413438534*x8 + 0.4170316301*x9 + 0.03476361567*x10
       + 0.004897583118*x11 + 0.02804214695*x12 + 0.01194243615*x13
       + 0.01643888427*x14 + 0.009128393765*x15 - 0.007146981881*x16
       + 0.03228969993*x17 + 0.02065967898*x18 + 0.01809624224*x19
       + 0.005542835868*x20 + 0.01118613198*x21 + 0.009241808357*x22
       + 0.005911530532*x23 - 0.01880184306*x24 - 0.001932472412*x25
       + 0.03235785118*x26 + 0.008267000277*x27 - 0.009506107965*x28
       - 0.001342869311*x29 + 0.02042009717*x30 + 0.0176679362*x31
       + 0.004577706516*x32 + 0.01089877662*x33 + 0.0006972950307*x34
       + 0.01642039641*x35 + 0.01978048097*x36 + 0.002741679917*x37
       + 0.01554541512*x38 + 0.02041689112*x39 - 0.0007702318609*x40
       + 0.01142079113*x41 + 0.005537812298*x42 + 0.02296995926*x43
       + 0.01377404362*x44 + 0.04595396152*x45 + 0.02674837316*x46
       + 0.01972170849*x47 + 0.007365904852*x48 + 0.02303620136*x49
       + 0.01003869396*x50 + 0.01100173467*x51 - x111 =E= 0;

e63..    0.0187639534*x2 + 0.00993595073*x3 + 0.01579832346*x4
       + 0.01795750857*x5 + 0.01008868021*x6 + 0.009582833924*x7
       + 0.01391858275*x8 + 0.03476361567*x9 + 0.2196071853*x10
       + 0.01469099176*x11 + 0.01843296058*x12 + 0.01411029374*x13
       + 0.005781049386*x14 + 0.003879372503*x15 - 0.006253445872*x16
       + 0.01869037419*x17 + 0.02091220656*x18 + 0.04377734978*x19
       + 0.009399098879*x20 + 0.009143589275*x21 - 0.006660582628*x22
       + 0.01880609658*x23 + 0.01305295078*x24 - 0.007807095542*x25
       + 0.008144903036*x26 + 0.01934865896*x27 + 0.0004793446209*x28
       + 0.0107998499*x29 + 0.01511363086*x30 + 0.01748741423*x31
       + 0.01456724722*x32 + 0.01021593018*x33 + 0.03441667984*x34
       + 0.009995703539*x35 + 0.02648891834*x36 + 0.02212279346*x37
       + 0.01845678537*x38 + 0.02544169754*x39 + 0.006930042222*x40
       + 0.0120325216*x41 + 0.0101205322*x42 + 0.01976258757*x43
       + 0.01803704289*x44 + 0.04641657004*x45 + 0.0290659577*x46
       + 0.01557553255*x47 + 0.03035177737*x48 + 0.03023445555*x49
       + 0.009609853754*x50 - 0.005215625026*x51 - x112 =E= 0;

e64..    0.01248348195*x2 + 0.02272029394*x3 + 0.002284123471*x4
       + 0.01821777745*x5 + 0.02353879831*x6 + 0.01042249672*x7
       + 0.01997531241*x8 + 0.004897583118*x9 + 0.01469099176*x10
       + 0.160507797*x11 + 0.01511765022*x12 + 0.01769014478*x13
       + 0.02173168045*x14 + 0.003925127686*x15 + 0.01897258153*x16
       + 0.006125374816*x17 + 0.02751509028*x18 + 0.00550339659*x19
       + 0.01622026468*x20 + 0.005313107563*x21 - 0.0024021081*x22
       + 0.01725514545*x23 + 0.02040605274*x24 + 0.004379855508*x25
       + 0.01512944122*x26 + 0.01556120642*x27 - 0.0007608175617*x28
       + 0.00934232406*x29 + 0.01356681417*x30 + 0.009916426688*x31
       + 0.01541023589*x32 + 0.01211735*x33 + 0.02326692397*x34
       + 0.006042361498*x35 + 0.02220470188*x36 + 0.005599474566*x37
       + 0.02284355233*x38 + 0.0290769156*x39 + 0.01508636553*x40
       + 0.0040662521*x41 + 0.01259528629*x42 + 0.01934677781*x43
       + 0.009795246748*x44 + 0.01632340298*x45 + 0.01787302024*x46
       + 0.01732874757*x47 + 0.0238402337*x48 + 0.01117326901*x49
       + 0.02067892086*x50 + 0.002619042345*x51 - x113 =E= 0;

e65..    0.01090872283*x2 + 0.02249319708*x3 + 0.01283933327*x4
       - 0.004371840914*x5 + 0.01439369418*x6 + 0.007401753525*x7
       + 0.0213705146*x8 + 0.02804214695*x9 + 0.01843296058*x10
       + 0.01511765022*x11 + 0.2521839952*x12 + 0.005579874749*x13
       + 0.01493672346*x14 + 0.008228098958*x15 + 0.01288857326*x16
       + 0.002380843587*x17 + 0.0216284501*x18 + 0.01102403382*x19
       + 0.002343910858*x20 + 0.01376951294*x21 - 0.007472609529*x22
       + 0.01636693333*x23 + 0.02462245292*x24 + 0.03317054551*x25
       + 0.01764521131*x26 + 0.003047220537*x27 + 0.01297399001*x28
       + 0.008775166248*x29 + 0.02498147162*x30 + 0.01354728154*x31
       + 0.02944533829*x32 + 0.01393222445*x33 + 0.01092723347*x34
       + 0.01633684812*x35 + 0.01988593747*x36 + 0.004825802908*x37
       + 0.01507796162*x38 + 0.03798219807*x39 + 0.01500741783*x40
       + 0.004334241592*x41 + 0.00210711111*x42 + 0.0282998895*x43
       + 0.008719418547*x44 + 0.04024267688*x45 + 0.01195664622*x46
       + 0.02040219761*x47 + 0.03484710351*x48 + 0.01595004536*x49
       + 0.007902418248*x50 + 0.01566696083*x51 - x114 =E= 0;

e66..    0.01909092979*x2 + 0.01612283561*x3 + 0.008829441628*x4
       + 0.02934329373*x5 + 0.02225644048*x6 + 0.02325204611*x7
       + 0.01168724864*x8 + 0.01194243615*x9 + 0.01411029374*x10
       + 0.01769014478*x11 + 0.005579874749*x12 + 0.2740097905*x13
       + 0.01659229626*x14 + 0.003312938988*x15 + 0.02160618758*x16
       - 0.01306606642*x17 + 0.009064443195*x18 + 0.02293968371*x19
       + 0.01459213342*x20 - 0.01006571107*x21 - 0.004371712076*x22
       + 0.03236689117*x23 + 0.01063986818*x24 - 0.007429912195*x25
       + 0.01554910287*x26 + 0.01583311048*x27 + 0.01022492951*x28
       + 0.0184227091*x29 + 0.02321921565*x30 + 0.002123043131*x31
       + 0.009028543275*x32 + 0.004947274354*x33 + 0.05146352761*x34
       + 0.03833703467*x35 + 0.01116215175*x36 + 0.01026212433*x37
       + 0.01329812156*x38 + 0.01912666968*x39 + 0.02161886055*x40
       + 0.01338510082*x41 + 0.01323807218*x42 + 0.01358988087*x43
       + 0.01930806032*x44 + 0.02526308239*x45 + 0.0299363483*x46
       + 0.01388503374*x47 + 0.00549263734*x48 + 0.01786413989*x49
       + 0.005860771993*x50 + 0.01846376467*x51 - x115 =E= 0;

e67..    0.02888107484*x2 + 0.02017100774*x3 + 0.01449544757*x4
       + 0.009097579026*x5 + 0.01300966108*x6 + 0.02079400635*x7
       + 0.01939184993*x8 + 0.01643888427*x9 + 0.005781049386*x10
       + 0.02173168045*x11 + 0.01493672346*x12 + 0.01659229626*x13
       + 0.3785568825*x14 + 0.01392930569*x15 + 0.009832404222*x16
       + 0.02196841083*x17 + 0.02520863673*x18 + 0.0005682293027*x19
       + 0.01049512246*x20 + 0.007857767743*x21 + 0.01964736646*x22
       + 0.007949016699*x23 + 0.02374772437*x24 + 0.008149029319*x25
       + 0.007272876099*x26 + 0.0005571810933*x27 + 0.008923440241*x28
       + 0.005258355373*x29 + 0.03094315066*x30 + 0.009159734454*x31
       - 0.01219903709*x32 + 0.01446872983*x33 + 0.01626229649*x34
       + 0.01105290667*x35 + 0.03417431373*x36 - 0.00395024361*x37
       + 0.01856067627*x38 + 0.01382765874*x39 + 0.009728340226*x40
       + 0.00823767975*x41 + 0.010932072*x42 + 0.01667544208*x43
       + 0.02336280997*x44 - 0.0005071603449*x45 + 0.02092809283*x46
       + 0.01292271148*x47 + 0.008103572442*x48 + 0.005785637396*x49
       + 0.002535877936*x50 + 0.008876951539*x51 - x116 =E= 0;

e68..    0.01411606184*x2 + 0.00353103674*x3 + 0.01985718757*x4
       + 0.01750750185*x5 + 0.01621843535*x6 - 0.004353268049*x7
       + 0.01427515808*x8 + 0.009128393765*x9 + 0.003879372503*x10
       + 0.003925127686*x11 + 0.008228098958*x12 + 0.003312938988*x13
       + 0.01392930569*x14 + 0.1703047417*x15 + 0.01210715175*x16
       + 0.01004130702*x17 + 0.008960026434*x18 + 0.007118289652*x19
       + 0.008264571823*x20 + 0.01092838397*x21 + 0.009187040958*x22
       + 0.007762443919*x23 + 0.01074907622*x24 - 0.005328446956*x25
       + 0.01467400678*x26 + 0.01070624067*x27 + 0.02742561556*x28
       + 0.01171302253*x29 + 0.01968155431*x30 + 0.01562357452*x31
       + 0.01317096483*x32 + 0.0081760867*x33 + 0.02751610257*x34
       + 0.01344501707*x35 + 0.01332245926*x36 + 0.001218376287*x37
       + 0.01583028193*x38 + 0.01742272375*x39 + 0.01376543414*x40
       + 0.01449315476*x41 + 0.009390343428*x42 + 0.01180277332*x43
       + 0.005493102187*x44 + 0.02089906156*x45 + 0.006109061099*x46
       + 0.01235073377*x47 + 0.01448559131*x48 + 0.009043747094*x49
       + 0.01081994623*x50 + 0.01832541654*x51 - x117 =E= 0;

e69..    0.004532608341*x2 + 0.009537651736*x3 + 0.01012875685*x4
       + 0.01390078992*x5 + 0.03431778831*x6 + 0.008128945194*x7
       + 0.03069535638*x8 - 0.007146981881*x9 - 0.006253445872*x10
       + 0.01897258153*x11 + 0.01288857326*x12 + 0.02160618758*x13
       + 0.009832404222*x14 + 0.01210715175*x15 + 0.1166037023*x16
       + 0.002640564959*x17 + 0.0107078078*x18 + 0.004945268953*x19
       + 0.01629729514*x20 + 0.006419547838*x21 - 0.001718238728*x22
       + 0.02280384007*x23 + 0.02401885184*x24 - 0.005343179238*x25
       + 0.01870557406*x26 + 0.008104416379*x27 + 0.0106305054*x28
       - 0.0006411498745*x29 + 0.01258909821*x30 + 0.004548975932*x31
       + 0.003100278966*x32 + 0.009147819571*x33 + 0.01430340115*x34
       + 0.01011997135*x35 + 0.002693523148*x36 + 0.0009140771521*x37
       + 0.02057715432*x38 + 0.03111580972*x39 + 0.003280678469*x40
       + 0.006522989127*x41 + 0.00345462237*x42 + 0.009977136238*x43
       + 0.01613026191*x44 - 0.003405727497*x45 + 0.004142389555*x46
       + 0.008906731269*x47 + 5.651112013E-5*x48 - 0.0007637319638*x49
       + 0.00820295851*x50 + 0.007613992596*x51 - x118 =E= 0;

e70..    0.004617075563*x2 + 0.04430838642*x3 - 0.004341967736*x4
       + 0.006775481529*x5 + 0.003934524599*x6 + 0.01311233768*x7
       + 0.01330412887*x8 + 0.03228969993*x9 + 0.01869037419*x10
       + 0.006125374816*x11 + 0.002380843587*x12 - 0.01306606642*x13
       + 0.02196841083*x14 + 0.01004130702*x15 + 0.002640564959*x16
       + 0.4733757256*x17 + 0.009534560645*x18 + 0.00950751416*x19
       + 0.005240142947*x20 - 0.006915735348*x21 + 0.008346244076*x22
       + 0.0003556140386*x23 - 0.003673319697*x24 - 0.004965993845*x25
       + 0.02141191475*x26 + 0.008850259098*x27 + 0.01402657139*x28
       + 0.008807748481*x29 + 0.02615730363*x30 + 0.01348383137*x31
       + 0.004986505551*x32 + 0.004768794578*x33 - 0.00126897006*x34
       - 0.002144069149*x35 + 0.003709975673*x36 + 0.01657115*x37
       - 0.007775536765*x38 - 0.005430847653*x39 + 0.006188227904*x40
       + 0.008255034449*x41 + 0.01421745719*x42 + 0.01631016208*x43
       + 0.005197325025*x44 + 0.07685099967*x45 - 0.005091663553*x46
       + 0.01287165751*x47 + 0.01485511587*x48 + 0.009970724445*x49
       + 0.006721766114*x50 + 0.006812843971*x51 - x119 =E= 0;

e71..    0.00652870386*x2 + 0.0157399083*x3 + 0.01150602626*x4
       + 0.03520149582*x5 + 0.01058799627*x6 + 0.02198956152*x7
       + 0.01323675024*x8 + 0.02065967898*x9 + 0.02091220656*x10
       + 0.02751509028*x11 + 0.0216284501*x12 + 0.009064443195*x13
       + 0.02520863673*x14 + 0.008960026434*x15 + 0.0107078078*x16
       + 0.009534560645*x17 + 0.3929183289*x18 + 0.02474612743*x19
       + 0.01539491767*x20 + 0.02133911656*x21 - 0.003069662879*x22
       + 0.01820287637*x23 + 0.01058741681*x24 - 0.00670063883*x25
       + 0.03918227222*x26 + 0.006730342676*x27 + 0.009985859394*x28
       + 0.0143712593*x29 + 0.02580744168*x30 + 0.03460518781*x31
       + 0.01720059944*x32 + 0.01241298083*x33 + 0.03161572499*x34
       + 0.03089132303*x35 + 0.0198769014*x36 + 0.00387745201*x37
       + 0.01689879188*x38 + 0.004996577818*x39 + 0.01221590463*x40
       + 0.01338453334*x41 + 0.0243325545*x42 + 0.02531628523*x43
       + 0.03398828298*x44 + 0.02966234465*x45 + 0.04738104019*x46
       + 0.04721791399*x47 + 0.009274617685*x48 + 0.03261751802*x49
       + 0.008964949722*x50 + 0.01665520706*x51 - x120 =E= 0;

e72..    0.02791862326*x2 + 0.003411739002*x3 + 0.01721451002*x4
       + 0.03423708567*x5 + 0.009965846916*x6 + 0.01171540018*x7
       + 0.009707960831*x8 + 0.01809624224*x9 + 0.04377734978*x10
       + 0.00550339659*x11 + 0.01102403382*x12 + 0.02293968371*x13
       + 0.0005682293027*x14 + 0.007118289652*x15 + 0.004945268953*x16
       + 0.00950751416*x17 + 0.02474612743*x18 + 0.8485742912*x19
       + 0.007091167364*x20 + 0.009003704719*x21 + 0.0006128206552*x22
       + 0.03427788445*x23 + 0.008216723827*x24 + 0.009265682927*x25
       + 0.01244462296*x26 + 0.01626024425*x27 + 0.003105290278*x28
       + 0.04190425353*x29 + 0.009298687224*x30 + 0.01584397387*x31
       + 0.01770921494*x32 + 0.02108504753*x33 + 0.02117011049*x34
       + 0.01332929886*x35 + 0.008206596525*x36 + 0.03641238651*x37
       + 0.02309197756*x38 + 0.02169142181*x39 + 0.01578799604*x40
       + 0.01604543172*x41 + 0.04510149677*x42 + 0.0358716484*x43
       + 0.05180989394*x44 + 0.0348015873*x45 + 0.05792150382*x46
       + 0.02288210896*x47 + 0.03558697216*x48 + 0.02350405882*x49
       + 0.02182008258*x50 + 0.01024395815*x51 - x121 =E= 0;

e73..    0.0126312378*x2 + 0.01836669163*x3 + 0.003901671865*x4
       + 0.01113361769*x5 + 0.04239043199*x6 + 0.007920233931*x7
       + 0.03291205338*x8 + 0.005542835868*x9 + 0.009399098879*x10
       + 0.01622026468*x11 + 0.002343910858*x12 + 0.01459213342*x13
       + 0.01049512246*x14 + 0.008264571823*x15 + 0.01629729514*x16
       + 0.005240142947*x17 + 0.01539491767*x18 + 0.007091167364*x19
       + 0.1671966517*x20 + 0.001700914343*x21 + 0.005097698261*x22
       + 0.01149990603*x23 + 0.02719197683*x24 - 0.0009487486443*x25
       + 0.01356577707*x26 + 0.005986408455*x27 + 0.01195171309*x28
       + 0.01474623733*x29 + 0.007235434128*x30 + 0.005798002222*x31
       + 0.01060683581*x32 + 0.0139778163*x33 + 0.01819274258*x34
       + 0.02873938328*x35 + 0.006444579417*x36 + 0.007881779026*x37
       + 0.03943946729*x38 + 0.03139240334*x39 + 0.01501254802*x40
       + 0.007273780838*x41 + 0.005498991982*x42 + 0.006089754045*x43
       + 0.01086525459*x44 - 0.01308313065*x45 + 0.01938677051*x46
       + 0.003373711394*x47 + 0.001659800928*x48 + 0.003939482232*x49
       + 0.004271935945*x50 + 0.009811226138*x51 - x122 =E= 0;

e74..    0.02385777756*x2 - 0.006658658828*x3 + 0.01553238039*x4
       + 0.009749022151*x5 + 0.008303628864*x6 + 0.001690611909*x7
       + 0.002373551699*x8 + 0.01118613198*x9 + 0.009143589275*x10
       + 0.005313107563*x11 + 0.01376951294*x12 - 0.01006571107*x13
       + 0.007857767743*x14 + 0.01092838397*x15 + 0.006419547838*x16
       - 0.006915735348*x17 + 0.02133911656*x18 + 0.009003704719*x19
       + 0.001700914343*x20 + 0.1745582706*x21 - 0.01390724013*x22
       + 0.002313033269*x23 - 0.005201271239*x24 + 0.001636728228*x25
       + 0.01618756668*x26 + 0.001789710273*x27 + 0.01769567797*x28
       + 0.02597385299*x29 + 0.01435465675*x30 + 3.357279949E-7*x31
       - 0.0002613647227*x32 + 0.03868207416*x33 + 0.01238256678*x34
       + 0.01211874834*x35 + 0.0003404037777*x36 + 0.01579752687*x37
       + 0.01260725297*x38 + 0.01536632566*x39 + 0.002740332173*x40
       + 0.00992648052*x41 + 0.01997705959*x42 + 0.009168279489*x43
       + 0.00858686449*x44 + 0.01042524617*x45 - 0.004992311089*x46
       - 0.0009506311864*x47 + 0.008392163075*x48 + 0.008656590841*x49
       + 0.02052238013*x50 + 0.007758665777*x51 - x123 =E= 0;

e75..    0.005875907524*x2 - 0.002404043149*x3 + 0.01015265311*x4
       + 0.008450454067*x5 + 0.006680896017*x6 + 0.05714788199*x7
       + 0.003635404179*x8 + 0.009241808357*x9 - 0.006660582628*x10
       - 0.0024021081*x11 - 0.007472609529*x12 - 0.004371712076*x13
       + 0.01964736646*x14 + 0.009187040958*x15 - 0.001718238728*x16
       + 0.008346244076*x17 - 0.003069662879*x18 + 0.0006128206552*x19
       + 0.005097698261*x20 - 0.01390724013*x21 + 0.5344112322*x22
       + 0.01241844799*x23 + 0.002625348917*x24 + 0.007421236479*x25
       - 0.005214005469*x26 + 0.01972568356*x27 - 0.01691144727*x28
       - 0.002194441867*x29 - 0.003633140764*x30 + 0.007443354408*x31
       + 0.02788709425*x32 - 0.004305723152*x33 - 0.0003290469638*x34
       + 0.01739853893*x35 - 0.004938748292*x36 + 0.005067740637*x37
       + 0.009269107208*x38 + 0.003956373074*x39 - 0.01373399954*x40
       - 0.004582441254*x41 - 0.007389032592*x42 + 0.0008742055101*x43
       + 0.01287513266*x44 + 0.03685677868*x45 - 0.003423469009*x46
       + 0.02292333108*x47 - 0.004897065117*x48 - 0.02073544993*x49
       + 0.0006864104218*x50 + 0.0005770460997*x51 - x124 =E= 0;

e76..    0.01233143807*x2 + 0.01233945219*x3 + 0.007690992326*x4
       + 0.03533580733*x5 + 0.008506597312*x6 + 0.02452010236*x7
       + 0.01871411484*x8 + 0.005911530532*x9 + 0.01880609658*x10
       + 0.01725514545*x11 + 0.01636693333*x12 + 0.03236689117*x13
       + 0.007949016699*x14 + 0.007762443919*x15 + 0.02280384007*x16
       + 0.0003556140386*x17 + 0.01820287637*x18 + 0.03427788445*x19
       + 0.01149990603*x20 + 0.002313033269*x21 + 0.01241844799*x22
       + 0.2538972049*x23 + 0.02024695425*x24 - 0.01148446994*x25
       + 0.02566067352*x26 + 0.02255997335*x27 + 0.01566622499*x28
       + 0.01354416736*x29 + 0.03182350924*x30 + 0.02346822787*x31
       + 0.008423016243*x32 + 0.0008873714927*x33 + 0.02830622036*x34
       + 0.03783547922*x35 + 0.02685318748*x36 + 0.03975723261*x37
       + 0.0235851994*x38 + 0.02252491046*x39 + 0.02869572915*x40
       + 0.01844053438*x41 + 0.0003221001643*x42 + 0.03089103464*x43
       + 0.03247267851*x44 + 0.009515913047*x45 + 0.04432832334*x46
       + 0.01980725363*x47 + 0.004354105185*x48 + 0.02818209248*x49
       + 0.02674454911*x50 + 0.01962105265*x51 - x125 =E= 0;

e77..    0.01233269173*x2 + 0.02049553133*x3 + 0.0155052302*x4
       + 0.02476408675*x5 + 0.03384988686*x6 + 0.01180504444*x7
       + 0.0263179022*x8 - 0.01880184306*x9 + 0.01305295078*x10
       + 0.02040605274*x11 + 0.02462245292*x12 + 0.01063986818*x13
       + 0.02374772437*x14 + 0.01074907622*x15 + 0.02401885184*x16
       - 0.003673319697*x17 + 0.01058741681*x18 + 0.008216723827*x19
       + 0.02719197683*x20 - 0.005201271239*x21 + 0.002625348917*x22
       + 0.02024695425*x23 + 0.2028581831*x24 + 0.01191320317*x25
       + 0.0007871874301*x26 + 0.01648791301*x27 + 0.008563096607*x28
       + 0.01240494684*x29 + 0.01422943216*x30 + 0.0165891488*x31
       + 0.02315203994*x32 + 0.01862979623*x33 - 0.0003844197984*x34
       + 0.0251593243*x35 + 0.0141101266*x36 + 0.01871717093*x37
       + 0.03898509488*x38 + 0.049981938*x39 + 0.01564790952*x40
       + 0.02747098759*x41 + 0.01303318888*x42 + 0.0147178684*x43
       + 0.01482295306*x44 + 0.007047787546*x45 + 0.0218895859*x46
       + 0.008048444579*x47 + 0.006809313879*x48 + 0.007801149221*x49
       + 0.01595346639*x50 + 0.008484340468*x51 - x126 =E= 0;

e78..  - 0.0117739058*x2 - 0.004216679055*x3 + 0.006219330042*x4
       - 0.007897586744*x5 + 0.01062543185*x6 - 0.0008734045711*x7
       + 0.007858657841*x8 - 0.001932472412*x9 - 0.007807095542*x10
       + 0.004379855508*x11 + 0.03317054551*x12 - 0.007429912195*x13
       + 0.008149029319*x14 - 0.005328446956*x15 - 0.005343179238*x16
       - 0.004965993845*x17 - 0.00670063883*x18 + 0.009265682927*x19
       - 0.0009487486443*x20 + 0.001636728228*x21 + 0.007421236479*x22
       - 0.01148446994*x23 + 0.01191320317*x24 + 1.148840151*x25
       + 0.003758872536*x26 - 0.004732188834*x27 + 0.007325231062*x28
       + 0.002110912773*x29 + 0.02713308594*x30 + 0.007530293548*x31
       - 0.008163578778*x32 + 0.009950724925*x33 - 0.006524321216*x34
       + 0.01736866715*x35 + 0.005195562686*x36 + 0.01409365121*x37
       + 0.007503882615*x38 + 0.0138945323*x39 - 0.003176789909*x40
       - 0.0005081722792*x41 + 0.0877323971*x42 - 0.005425665185*x43
       - 0.007743929808*x44 + 0.02677766154*x45 - 0.001551016248*x46
       - 0.00549231826*x47 + 0.03480898048*x48 - 0.001463608715*x49
       - 0.01487703215*x50 + 0.02489371804*x51 - x127 =E= 0;

e79..    0.02185033952*x2 + 0.01133155365*x3 + 0.007950311707*x4
       + 0.0261399241*x5 + 0.02152092455*x6 + 0.008387506393*x7
       - 0.0001591736852*x8 + 0.03235785118*x9 + 0.008144903036*x10
       + 0.01512944122*x11 + 0.01764521131*x12 + 0.01554910287*x13
       + 0.007272876099*x14 + 0.01467400678*x15 + 0.01870557406*x16
       + 0.02141191475*x17 + 0.03918227222*x18 + 0.01244462296*x19
       + 0.01356577707*x20 + 0.01618756668*x21 - 0.005214005469*x22
       + 0.02566067352*x23 + 0.0007871874301*x24 + 0.003758872536*x25
       + 0.2082977574*x26 + 0.0221467916*x27 + 0.01439066502*x28
       + 0.01545848411*x29 + 0.01655722098*x30 + 0.003293866515*x31
       + 0.008224276168*x32 + 0.005468119696*x33 + 0.01915841249*x34
       + 0.006573388465*x35 + 0.01720222816*x36 + 0.003418988805*x37
       + 0.01669113401*x38 + 0.02733221114*x39 + 0.0193512651*x40
       + 0.01559837091*x41 + 0.005992333486*x42 + 0.01724306423*x43
       + 0.01787078023*x44 + 0.006662257548*x45 + 0.01517778051*x46
       + 0.000658527198*x47 + 0.0136688246*x48 + 0.03615128243*x49
       + 0.006026326124*x50 + 0.009596675472*x51 - x128 =E= 0;

e80..    0.003182731855*x2 + 0.01574657816*x3 + 0.0139041443*x4
       + 0.02279143329*x5 + 0.01688885847*x6 + 0.01541103606*x7
       + 0.004665367121*x8 + 0.008267000277*x9 + 0.01934865896*x10
       + 0.01556120642*x11 + 0.003047220537*x12 + 0.01583311048*x13
       + 0.0005571810933*x14 + 0.01070624067*x15 + 0.008104416379*x16
       + 0.008850259098*x17 + 0.006730342676*x18 + 0.01626024425*x19
       + 0.005986408455*x20 + 0.001789710273*x21 + 0.01972568356*x22
       + 0.02255997335*x23 + 0.01648791301*x24 - 0.004732188834*x25
       + 0.0221467916*x26 + 0.1662858594*x27 + 0.006272131545*x28
       + 0.00112893428*x29 + 0.01882337045*x30 + 0.01473807984*x31
       + 0.02017767034*x32 - 0.002991015141*x33 + 0.02317549411*x34
       + 0.01566257527*x35 + 0.01505962738*x36 + 0.01593939849*x37
       + 0.01182404128*x38 + 0.0183562739*x39 + 0.009403869281*x40
       - 0.005035597769*x41 + 0.01945127993*x42 + 0.01751174999*x43
       + 0.01259348764*x44 + 0.02867285887*x45 + 0.01931627013*x46
       + 0.001940371716*x47 + 0.01632282214*x48 + 0.005747780456*x49
       + 0.008848583833*x50 + 0.006774587759*x51 - x129 =E= 0;

e81..    0.01180459184*x2 + 0.004879258424*x3 + 0.01686974308*x4
       - 0.005584516874*x5 + 0.01280842575*x6 - 0.001025788989*x7
       + 0.007226126297*x8 - 0.009506107965*x9 + 0.0004793446209*x10
       - 0.0007608175617*x11 + 0.01297399001*x12 + 0.01022492951*x13
       + 0.008923440241*x14 + 0.02742561556*x15 + 0.0106305054*x16
       + 0.01402657139*x17 + 0.009985859394*x18 + 0.003105290278*x19
       + 0.01195171309*x20 + 0.01769567797*x21 - 0.01691144727*x22
       + 0.01566622499*x23 + 0.008563096607*x24 + 0.007325231062*x25
       + 0.01439066502*x26 + 0.006272131545*x27 + 0.1506092188*x28
       + 0.004806680472*x29 + 0.01866711099*x30 + 0.001261582707*x31
       + 0.007275553814*x32 + 0.01907979643*x33 + 0.005870425649*x34
       + 0.01000876768*x35 + 0.005154542632*x36 + 0.008758314588*x37
       + 0.007909805567*x38 + 0.006567378255*x39 + 0.007976164707*x40
       + 0.01670363362*x41 - 0.00499092013*x42 + 0.006929979211*x43
       + 0.004464805321*x44 - 0.002078911261*x45 + 0.004527140276*x46
       + 0.01492836647*x47 + 0.00834805506*x48 + 0.01125740958*x49
       + 0.01424366278*x50 + 0.01046747437*x51 - x130 =E= 0;

e82..    0.002457557532*x2 + 0.02557587732*x3 + 0.01288083251*x4
       + 0.008950430366*x5 + 0.003650283496*x6 + 0.00165854118*x7
       + 0.01038123477*x8 - 0.001342869311*x9 + 0.0107998499*x10
       + 0.00934232406*x11 + 0.008775166248*x12 + 0.0184227091*x13
       + 0.005258355373*x14 + 0.01171302253*x15 - 0.0006411498745*x16
       + 0.008807748481*x17 + 0.0143712593*x18 + 0.04190425353*x19
       + 0.01474623733*x20 + 0.02597385299*x21 - 0.002194441867*x22
       + 0.01354416736*x23 + 0.01240494684*x24 + 0.002110912773*x25
       + 0.01545848411*x26 + 0.00112893428*x27 + 0.004806680472*x28
       + 0.1801630435*x29 + 0.007481827623*x30 + 0.01929581441*x31
       - 0.0004579093884*x32 + 0.01595911417*x33 + 0.01968692732*x34
       + 0.02129238165*x35 + 0.005323014832*x36 + 0.03597475862*x37
       + 0.01828771182*x38 + 0.006853729699*x39 + 0.02099052811*x40
       + 0.001774497342*x41 + 0.003218056015*x42 + 0.01379491381*x43
       + 0.01151313625*x44 + 0.007227173115*x45 + 0.02330793607*x46
       + 0.001471804074*x47 + 0.02078364071*x48 + 0.03329880521*x49
       + 0.01432293541*x50 + 0.006748730214*x51 - x131 =E= 0;

e83..    0.1697330472*x2 + 0.01677189187*x3 + 0.007612418806*x4
       + 0.03122997654*x5 + 0.001557444164*x6 + 0.01429013949*x7
       - 0.001883913744*x8 + 0.02042009717*x9 + 0.01511363086*x10
       + 0.01356681417*x11 + 0.02498147162*x12 + 0.02321921565*x13
       + 0.03094315066*x14 + 0.01968155431*x15 + 0.01258909821*x16
       + 0.02615730363*x17 + 0.02580744168*x18 + 0.009298687224*x19
       + 0.007235434128*x20 + 0.01435465675*x21 - 0.003633140764*x22
       + 0.03182350924*x23 + 0.01422943216*x24 + 0.02713308594*x25
       + 0.01655722098*x26 + 0.01882337045*x27 + 0.01866711099*x28
       + 0.007481827623*x29 + 0.3776888842*x30 + 0.01116843159*x31
       - 0.0005795037687*x32 + 0.006250534432*x33 + 0.01724670014*x34
       + 0.001479001146*x35 + 0.0155398159*x36 - 0.01675316346*x37
       + 0.007041046632*x38 + 0.01807090383*x39 - 0.00289871167*x40
       + 0.003751961892*x41 + 0.01211997803*x42 + 0.02136385562*x43
       + 0.007761544715*x44 + 0.02822020831*x45 + 0.005265825851*x46
       + 0.02559351515*x47 + 0.007695788032*x48 + 0.01434518051*x49
       + 0.01598699822*x50 + 0.01299470388*x51 - x132 =E= 0;

e84..    0.01921667981*x2 + 0.007102281428*x3 + 0.007512978935*x4
       + 0.02020697006*x5 + 0.001251567496*x6 + 0.008453538667*x7
       + 0.004729135987*x8 + 0.0176679362*x9 + 0.01748741423*x10
       + 0.009916426688*x11 + 0.01354728154*x12 + 0.002123043131*x13
       + 0.009159734454*x14 + 0.01562357452*x15 + 0.004548975932*x16
       + 0.01348383137*x17 + 0.03460518781*x18 + 0.01584397387*x19
       + 0.005798002222*x20 + 3.357279952E-7*x21 + 0.007443354408*x22
       + 0.02346822787*x23 + 0.0165891488*x24 + 0.007530293548*x25
       + 0.003293866515*x26 + 0.01473807984*x27 + 0.001261582707*x28
       + 0.01929581441*x29 + 0.01116843159*x30 + 0.1948051867*x31
       - 0.0001344588549*x32 + 0.008584334668*x33 + 0.02451755853*x34
       + 0.009870722668*x35 + 0.009074947697*x36 + 0.01068592279*x37
       + 0.009422147402*x38 + 0.01407324465*x39 + 0.02019536144*x40
       + 0.01626103289*x41 + 0.01782776749*x42 + 0.01005350972*x43
       + 0.004384541367*x44 + 0.01644808676*x45 + 0.03537347003*x46
       + 0.01198626343*x47 + 0.01167854676*x48 + 0.02639169544*x49
       + 0.02700939277*x50 + 0.006628932792*x51 - x133 =E= 0;

e85..    0.008534779635*x2 + 0.01228020055*x3 + 0.005879413074*x4
       + 0.02603236184*x5 + 0.01374725339*x6 + 0.01953546853*x7
       + 0.01326720185*x8 + 0.004577706516*x9 + 0.01456724722*x10
       + 0.01541023589*x11 + 0.02944533829*x12 + 0.009028543275*x13
       - 0.01219903709*x14 + 0.01317096483*x15 + 0.003100278966*x16
       + 0.004986505551*x17 + 0.01720059944*x18 + 0.01770921494*x19
       + 0.01060683581*x20 - 0.0002613647227*x21 + 0.02788709425*x22
       + 0.008423016243*x23 + 0.02315203994*x24 - 0.008163578778*x25
       + 0.008224276168*x26 + 0.02017767034*x27 + 0.007275553814*x28
       - 0.0004579093884*x29 - 0.0005795037687*x30 - 0.0001344588549*x31
       + 0.3398971601*x32 - 0.004851470421*x33 + 0.01406368337*x34
       + 0.01802188696*x35 + 0.01913125202*x36 + 0.003483246152*x37
       + 0.008189527745*x38 + 0.01574147272*x39 + 0.01233843409*x40
       + 0.008293002609*x41 + 0.01389200922*x42 + 0.01105249583*x43
       + 0.02054158068*x44 + 0.03876596271*x45 + 0.03944401589*x46
       + 0.00725038634*x47 + 0.01361234561*x48 + 0.02357028965*x49
       + 0.002258372751*x50 + 0.01110410039*x51 - x134 =E= 0;

e86..  - 0.01461546685*x2 + 0.009529212917*x3 + 0.01038521732*x4
       + 0.0008300089957*x5 + 0.009428446459*x6 + 0.01155201973*x7
       + 0.01170352257*x8 + 0.01089877662*x9 + 0.01021593018*x10
       + 0.01211735*x11 + 0.01393222445*x12 + 0.004947274354*x13
       + 0.01446872983*x14 + 0.0081760867*x15 + 0.009147819571*x16
       + 0.004768794578*x17 + 0.01241298083*x18 + 0.02108504753*x19
       + 0.0139778163*x20 + 0.03868207416*x21 - 0.004305723152*x22
       + 0.0008873714927*x23 + 0.01862979623*x24 + 0.009950724925*x25
       + 0.005468119696*x26 - 0.002991015141*x27 + 0.01907979643*x28
       + 0.01595911417*x29 + 0.006250534432*x30 + 0.008584334668*x31
       - 0.004851470421*x32 + 0.3083416156*x33 + 0.007161463885*x34
       + 0.01029457631*x35 + 0.01652653743*x36 + 0.01265576497*x37
       + 0.01694171421*x38 + 0.0154721694*x39 + 0.0007888210452*x40
       + 0.02943412999*x41 + 0.01185956199*x42 + 0.01436664752*x43
       + 0.007934030505*x44 + 0.003369888224*x45 + 0.01910370418*x46
       + 0.004847501359*x47 + 0.01145376163*x48 + 0.01455937382*x49
       + 0.006173698943*x50 + 0.01445951492*x51 - x135 =E= 0;

e87..    0.007889876587*x2 + 0.01479233991*x3 + 0.01773081309*x4
       + 0.02747293188*x5 + 0.02477197335*x6 + 0.02016031739*x7
       + 0.02007705725*x8 + 0.0006972950307*x9 + 0.03441667984*x10
       + 0.02326692397*x11 + 0.01092723347*x12 + 0.05146352761*x13
       + 0.01626229649*x14 + 0.02751610257*x15 + 0.01430340115*x16
       - 0.00126897006*x17 + 0.03161572499*x18 + 0.02117011049*x19
       + 0.01819274258*x20 + 0.01238256678*x21 - 0.0003290469638*x22
       + 0.02830622036*x23 - 0.0003844197984*x24 - 0.006524321216*x25
       + 0.01915841249*x26 + 0.02317549411*x27 + 0.005870425649*x28
       + 0.01968692732*x29 + 0.01724670014*x30 + 0.02451755853*x31
       + 0.01406368337*x32 + 0.007161463885*x33 + 0.2589311163*x34
       + 0.01679673227*x35 + 0.02574946891*x36 + 0.016256506*x37
       + 0.01813792525*x38 + 0.0242475352*x39 + 0.02060396459*x40
       + 0.007293524926*x41 + 0.005537828941*x42 + 0.02669683494*x43
       + 0.01995246391*x44 + 0.01566564017*x45 + 0.03390961643*x46
       + 0.009056081781*x47 + 0.01000967179*x48 + 0.00313767981*x49
       + 0.006594348022*x50 + 0.01574570006*x51 - x136 =E= 0;

e88..    0.01417864029*x2 + 0.007753282536*x3 + 0.01116473728*x4
       + 0.02075233503*x5 + 0.01826485416*x6 + 0.01354411357*x7
       + 0.01744343572*x8 + 0.01642039641*x9 + 0.009995703539*x10
       + 0.006042361498*x11 + 0.01633684812*x12 + 0.03833703467*x13
       + 0.01105290667*x14 + 0.01344501707*x15 + 0.01011997135*x16
       - 0.002144069149*x17 + 0.03089132303*x18 + 0.01332929886*x19
       + 0.02873938328*x20 + 0.01211874834*x21 + 0.01739853893*x22
       + 0.03783547922*x23 + 0.0251593243*x24 + 0.01736866715*x25
       + 0.006573388465*x26 + 0.01566257527*x27 + 0.01000876768*x28
       + 0.02129238165*x29 + 0.001479001146*x30 + 0.009870722668*x31
       + 0.01802188696*x32 + 0.01029457631*x33 + 0.01679673227*x34
       + 0.2933844139*x35 + 0.01277875298*x36 - 0.0006304295715*x37
       + 0.0221886786*x38 + 0.02373850697*x39 + 0.01635596672*x40
       + 0.0008138961812*x41 + 0.007969219336*x42 + 0.03259613317*x43
       + 0.02347090543*x44 + 0.02074604698*x45 + 0.01268622292*x46
       + 0.02503491675*x47 + 0.01837120431*x48 + 0.02275586406*x49
       + 0.01000834814*x50 + 0.01802313837*x51 - x137 =E= 0;

e89..    0.009368242552*x2 - 0.007720097873*x3 + 0.01774248609*x4
       + 0.01872934802*x5 + 0.01149428344*x6 + 0.01862650299*x7
       + 0.011365812*x8 + 0.01978048097*x9 + 0.02648891834*x10
       + 0.02220470188*x11 + 0.01988593747*x12 + 0.01116215175*x13
       + 0.03417431373*x14 + 0.01332245926*x15 + 0.002693523148*x16
       + 0.003709975673*x17 + 0.0198769014*x18 + 0.008206596525*x19
       + 0.006444579417*x20 + 0.0003404037777*x21 - 0.004938748292*x22
       + 0.02685318748*x23 + 0.0141101266*x24 + 0.005195562686*x25
       + 0.01720222816*x26 + 0.01505962738*x27 + 0.005154542632*x28
       + 0.005323014832*x29 + 0.0155398159*x30 + 0.009074947697*x31
       + 0.01913125202*x32 + 0.01652653743*x33 + 0.02574946891*x34
       + 0.01277875298*x35 + 0.3094601548*x36 + 0.01089023366*x37
       + 0.01075327218*x38 + 0.0203821437*x39 + 0.06548588394*x40
       + 0.01655326614*x41 + 0.0168248701*x42 + 0.0339663787*x43
       + 0.009905935242*x44 + 0.03800819452*x45 + 0.02989144724*x46
       + 0.003964879558*x47 + 0.04768491598*x48 + 0.02106377399*x49
       + 0.01434235849*x50 + 0.02320983929*x51 - x138 =E= 0;

e90..    0.01814163829*x2 + 0.01307230614*x3 + 0.002590411656*x4
       - 0.00167332997*x5 + 0.009792057489*x6 + 0.006093854419*x7
       + 0.01324336062*x8 + 0.002741679917*x9 + 0.02212279346*x10
       + 0.005599474566*x11 + 0.004825802908*x12 + 0.01026212433*x13
       - 0.00395024361*x14 + 0.001218376287*x15 + 0.0009140771521*x16
       + 0.01657115*x17 + 0.00387745201*x18 + 0.03641238651*x19
       + 0.007881779026*x20 + 0.01579752687*x21 + 0.005067740637*x22
       + 0.03975723261*x23 + 0.01871717093*x24 + 0.01409365121*x25
       + 0.003418988805*x26 + 0.01593939849*x27 + 0.008758314588*x28
       + 0.03597475862*x29 - 0.01675316346*x30 + 0.01068592279*x31
       + 0.003483246152*x32 + 0.01265576497*x33 + 0.016256506*x34
       - 0.0006304295715*x35 + 0.01089023366*x36 + 0.356389988*x37
       + 0.01163851013*x38 + 0.01152755698*x39 + 0.0156336266*x40
       + 0.0036277679*x41 + 0.01096167854*x42 - 0.000421219846*x43
       - 0.000166874472*x44 + 0.007745373157*x45 + 0.02128886941*x46
       + 0.01612799788*x47 + 0.02510446926*x48 + 0.01327840582*x49
       + 0.002372375118*x50 + 0.00425022674*x51 - x139 =E= 0;

e91..    0.01779499792*x2 + 0.03176070844*x3 + 0.01474620094*x4
       + 0.009662407332*x5 + 0.0359376877*x6 + 0.01225810462*x7
       + 0.03444135226*x8 + 0.01554541512*x9 + 0.01845678537*x10
       + 0.02284355233*x11 + 0.01507796162*x12 + 0.01329812156*x13
       + 0.01856067627*x14 + 0.01583028193*x15 + 0.02057715432*x16
       - 0.007775536765*x17 + 0.01689879188*x18 + 0.02309197756*x19
       + 0.03943946729*x20 + 0.01260725297*x21 + 0.009269107208*x22
       + 0.0235851994*x23 + 0.03898509488*x24 + 0.007503882615*x25
       + 0.01669113401*x26 + 0.01182404128*x27 + 0.007909805567*x28
       + 0.01828771182*x29 + 0.007041046632*x30 + 0.009422147402*x31
       + 0.008189527745*x32 + 0.01694171421*x33 + 0.01813792525*x34
       + 0.0221886786*x35 + 0.01075327218*x36 + 0.01163851013*x37
       + 0.1722431004*x38 + 0.03527209173*x39 + 0.02601867629*x40
       + 0.01172446566*x41 + 0.003340614748*x42 + 0.01339269161*x43
       + 0.02787669863*x44 + 0.001584454225*x45 + 0.01263873962*x46
       + 0.0143226682*x47 - 0.0008895209889*x48 + 0.008624208874*x49
       + 0.001648519577*x50 + 0.007229503865*x51 - x140 =E= 0;

e92..    0.03659224556*x2 + 0.02987727562*x3 + 0.007342348626*x4
       + 0.03789453969*x5 + 0.04569751374*x6 + 0.003782453733*x7
       + 0.0337074357*x8 + 0.02041689112*x9 + 0.02544169754*x10
       + 0.0290769156*x11 + 0.03798219807*x12 + 0.01912666968*x13
       + 0.01382765874*x14 + 0.01742272375*x15 + 0.03111580972*x16
       - 0.005430847653*x17 + 0.004996577818*x18 + 0.02169142181*x19
       + 0.03139240334*x20 + 0.01536632566*x21 + 0.003956373074*x22
       + 0.02252491046*x23 + 0.049981938*x24 + 0.0138945323*x25
       + 0.02733221114*x26 + 0.0183562739*x27 + 0.006567378255*x28
       + 0.006853729699*x29 + 0.01807090383*x30 + 0.01407324465*x31
       + 0.01574147272*x32 + 0.0154721694*x33 + 0.0242475352*x34
       + 0.02373850697*x35 + 0.0203821437*x36 + 0.01152755698*x37
       + 0.03527209173*x38 + 0.2327531803*x39 + 0.01709497473*x40
       + 0.01543527079*x41 + 0.007794370654*x42 + 0.02320487874*x43
       + 0.01947324502*x44 + 0.03701830236*x45 + 0.02707980117*x46
       + 0.02102382726*x47 + 0.02875851866*x48 + 0.02465389283*x49
       + 0.01678799979*x50 + 0.006422055053*x51 - x141 =E= 0;

e93..    0.008609625123*x2 + 0.003187720919*x3 + 0.005767096304*x4
       + 0.0003101975821*x5 + 0.02327188016*x6 + 0.004298541186*x7
       + 0.01262141805*x8 - 0.0007702318609*x9 + 0.006930042222*x10
       + 0.01508636553*x11 + 0.01500741783*x12 + 0.02161886055*x13
       + 0.009728340226*x14 + 0.01376543414*x15 + 0.003280678469*x16
       + 0.006188227904*x17 + 0.01221590463*x18 + 0.01578799604*x19
       + 0.01501254802*x20 + 0.002740332173*x21 - 0.01373399954*x22
       + 0.02869572915*x23 + 0.01564790952*x24 - 0.003176789909*x25
       + 0.0193512651*x26 + 0.009403869281*x27 + 0.007976164707*x28
       + 0.02099052811*x29 - 0.00289871167*x30 + 0.02019536144*x31
       + 0.01233843409*x32 + 0.0007888210452*x33 + 0.02060396459*x34
       + 0.01635596672*x35 + 0.06548588394*x36 + 0.0156336266*x37
       + 0.02601867629*x38 + 0.01709497473*x39 + 0.156432244*x40
       + 0.01213452206*x41 + 0.002308175709*x42 + 0.01719668187*x43
       + 0.01018196924*x44 + 0.004250751011*x45 + 0.0133086126*x46
       + 0.01389754147*x47 + 0.04734341505*x48 + 0.0217046223*x49
       + 0.0148111614*x50 + 0.01922620696*x51 - x142 =E= 0;

e94..    0.007197216742*x2 - 0.001703869264*x3 + 0.01152730041*x4
       + 0.03263989611*x5 + 0.006301283433*x6 + 0.03136004653*x7
       + 0.009892608809*x8 + 0.01142079113*x9 + 0.0120325216*x10
       + 0.0040662521*x11 + 0.004334241592*x12 + 0.01338510082*x13
       + 0.00823767975*x14 + 0.01449315476*x15 + 0.006522989127*x16
       + 0.008255034449*x17 + 0.01338453334*x18 + 0.01604543172*x19
       + 0.007273780838*x20 + 0.00992648052*x21 - 0.004582441254*x22
       + 0.01844053438*x23 + 0.02747098759*x24 - 0.0005081722792*x25
       + 0.01559837091*x26 - 0.005035597769*x27 + 0.01670363362*x28
       + 0.001774497342*x29 + 0.003751961892*x30 + 0.01626103289*x31
       + 0.008293002609*x32 + 0.02943412999*x33 + 0.007293524926*x34
       + 0.0008138961812*x35 + 0.01655326614*x36 + 0.0036277679*x37
       + 0.01172446566*x38 + 0.01543527079*x39 + 0.01213452206*x40
       + 0.3857117995*x41 - 0.001626262019*x42 + 0.01712790535*x43
       + 0.02887457835*x44 - 0.003867688378*x45 + 0.01225586481*x46
       + 0.02080391386*x47 + 0.02631675833*x48 + 0.01037648124*x49
       + 0.01373067953*x50 + 0.003694072697*x51 - x143 =E= 0;

e95..    0.01673415508*x2 - 0.001610932411*x3 + 0.01258438577*x4
       + 0.03561040272*x5 + 0.01168783572*x6 + 0.01859953912*x7
       + 0.008125685562*x8 + 0.005537812298*x9 + 0.0101205322*x10
       + 0.01259528629*x11 + 0.00210711111*x12 + 0.01323807218*x13
       + 0.010932072*x14 + 0.009390343428*x15 + 0.00345462237*x16
       + 0.01421745719*x17 + 0.0243325545*x18 + 0.04510149677*x19
       + 0.005498991982*x20 + 0.01997705959*x21 - 0.007389032592*x22
       + 0.0003221001643*x23 + 0.01303318888*x24 + 0.0877323971*x25
       + 0.005992333486*x26 + 0.01945127993*x27 - 0.00499092013*x28
       + 0.003218056015*x29 + 0.01211997803*x30 + 0.01782776749*x31
       + 0.01389200922*x32 + 0.01185956199*x33 + 0.005537828941*x34
       + 0.007969219336*x35 + 0.0168248701*x36 + 0.01096167854*x37
       + 0.003340614748*x38 + 0.007794370654*x39 + 0.002308175709*x40
       - 0.001626262019*x41 + 0.1837016303*x42 + 0.02124415553*x43
       + 0.009294760638*x44 + 0.02637702062*x45 + 0.02894397408*x46
       - 0.003853830641*x47 + 0.02161727258*x48 + 0.02274012915*x49
       + 0.0182602031*x50 + 0.005756144608*x51 - x144 =E= 0;

e96..    0.01490823638*x2 + 0.007548832011*x3 + 0.009419355193*x4
       + 0.01501428054*x5 + 0.01652138094*x6 + 0.004803686626*x7
       + 0.01342106933*x8 + 0.02296995926*x9 + 0.01976258757*x10
       + 0.01934677781*x11 + 0.0282998895*x12 + 0.01358988087*x13
       + 0.01667544208*x14 + 0.01180277332*x15 + 0.009977136238*x16
       + 0.01631016208*x17 + 0.02531628523*x18 + 0.0358716484*x19
       + 0.006089754045*x20 + 0.009168279489*x21 + 0.0008742055101*x22
       + 0.03089103464*x23 + 0.0147178684*x24 - 0.005425665185*x25
       + 0.01724306423*x26 + 0.01751174999*x27 + 0.006929979211*x28
       + 0.01379491381*x29 + 0.02136385562*x30 + 0.01005350972*x31
       + 0.01105249583*x32 + 0.01436664752*x33 + 0.02669683494*x34
       + 0.03259613317*x35 + 0.0339663787*x36 - 0.000421219846*x37
       + 0.01339269161*x38 + 0.02320487874*x39 + 0.01719668187*x40
       + 0.01712790535*x41 + 0.02124415553*x42 + 0.1770244853*x43
       + 0.006052558218*x44 + 0.02657517581*x45 + 0.02902966109*x46
       + 0.004276573383*x47 + 0.03237930525*x48 + 0.02039182542*x49
       + 0.01809760136*x50 + 0.02406463272*x51 - x145 =E= 0;

e97..    0.00367816636*x2 - 0.008371372669*x3 + 0.0192330556*x4
       + 0.01789836288*x5 + 0.01468991581*x6 + 0.0122951743*x7
       + 0.01090955663*x8 + 0.01377404362*x9 + 0.01803704289*x10
       + 0.009795246748*x11 + 0.008719418547*x12 + 0.01930806032*x13
       + 0.02336280997*x14 + 0.005493102187*x15 + 0.01613026191*x16
       + 0.005197325025*x17 + 0.03398828298*x18 + 0.05180989394*x19
       + 0.01086525459*x20 + 0.00858686449*x21 + 0.01287513266*x22
       + 0.03247267851*x23 + 0.01482295306*x24 - 0.007743929808*x25
       + 0.01787078023*x26 + 0.01259348764*x27 + 0.004464805321*x28
       + 0.01151313625*x29 + 0.007761544715*x30 + 0.004384541367*x31
       + 0.02054158068*x32 + 0.007934030505*x33 + 0.01995246391*x34
       + 0.02347090543*x35 + 0.009905935242*x36 - 0.000166874472*x37
       + 0.02787669863*x38 + 0.01947324502*x39 + 0.01018196924*x40
       + 0.02887457835*x41 + 0.009294760638*x42 + 0.006052558218*x43
       + 0.4100133562*x44 + 0.03591812932*x45 + 0.01138844246*x46
       + 0.01144791073*x47 + 0.005631627477*x48 + 0.00882250876*x49
       + 0.01158120797*x50 + 0.00367521739*x51 - x146 =E= 0;

e98..  - 0.001403827751*x2 + 0.03196070438*x3 + 0.0112119646*x4
       + 0.03777257734*x5 + 0.002623062369*x6 + 0.029054195*x7
       - 0.002385096333*x8 + 0.04595396152*x9 + 0.04641657004*x10
       + 0.01632340298*x11 + 0.04024267688*x12 + 0.02526308239*x13
       - 0.0005071603449*x14 + 0.02089906156*x15 - 0.003405727497*x16
       + 0.07685099967*x17 + 0.02966234465*x18 + 0.0348015873*x19
       - 0.01308313065*x20 + 0.01042524617*x21 + 0.03685677868*x22
       + 0.009515913047*x23 + 0.007047787546*x24 + 0.02677766154*x25
       + 0.006662257548*x26 + 0.02867285887*x27 - 0.002078911261*x28
       + 0.007227173115*x29 + 0.02822020831*x30 + 0.01644808676*x31
       + 0.03876596271*x32 + 0.003369888224*x33 + 0.01566564017*x34
       + 0.02074604698*x35 + 0.03800819452*x36 + 0.007745373157*x37
       + 0.001584454225*x38 + 0.03701830236*x39 + 0.004250751011*x40
       - 0.003867688378*x41 + 0.02637702062*x42 + 0.02657517581*x43
       + 0.03591812932*x44 + 1.040760053*x45 + 0.07369728423*x46
       + 0.005850969253*x47 + 0.07773959593*x48 + 0.02320623667*x49
       + 0.009033829289*x50 + 1.087815304E-5*x51 - x147 =E= 0;

e99..    0.02040254732*x2 + 0.01739843215*x3 + 0.009039615818*x4
       + 0.02696067266*x5 + 0.01232608987*x6 + 0.0323414549*x7
       + 0.009945190546*x8 + 0.02674837316*x9 + 0.0290659577*x10
       + 0.01787302024*x11 + 0.01195664622*x12 + 0.0299363483*x13
       + 0.02092809283*x14 + 0.006109061099*x15 + 0.004142389555*x16
       - 0.005091663553*x17 + 0.04738104019*x18 + 0.05792150382*x19
       + 0.01938677051*x20 - 0.004992311089*x21 - 0.003423469009*x22
       + 0.04432832334*x23 + 0.0218895859*x24 - 0.001551016248*x25
       + 0.01517778051*x26 + 0.01931627013*x27 + 0.004527140276*x28
       + 0.02330793607*x29 + 0.005265825851*x30 + 0.03537347003*x31
       + 0.03944401589*x32 + 0.01910370418*x33 + 0.03390961643*x34
       + 0.01268622292*x35 + 0.02989144724*x36 + 0.02128886941*x37
       + 0.01263873962*x38 + 0.02707980117*x39 + 0.0133086126*x40
       + 0.01225586481*x41 + 0.02894397408*x42 + 0.02902966109*x43
       + 0.01138844246*x44 + 0.07369728423*x45 + 0.4462091865*x46
       + 0.00848282499*x47 + 0.04732298515*x48 + 0.05116023287*x49
       - 0.002213182355*x50 + 0.01010716359*x51 - x148 =E= 0;

e100..    0.007106759202*x2 + 0.0095822596*x3 + 0.002618276879*x4
        + 0.01064065851*x5 + 0.01630818656*x6 + 0.007549919778*x7
        + 0.01863347151*x8 + 0.01972170849*x9 + 0.01557553255*x10
        + 0.01732874757*x11 + 0.02040219761*x12 + 0.01388503374*x13
        + 0.01292271148*x14 + 0.01235073377*x15 + 0.008906731269*x16
        + 0.01287165751*x17 + 0.04721791399*x18 + 0.02288210896*x19
        + 0.003373711394*x20 - 0.0009506311864*x21 + 0.02292333108*x22
        + 0.01980725363*x23 + 0.008048444579*x24 - 0.00549231826*x25
        + 0.000658527198*x26 + 0.001940371716*x27 + 0.01492836647*x28
        + 0.001471804074*x29 + 0.02559351515*x30 + 0.01198626343*x31
        + 0.00725038634*x32 + 0.004847501359*x33 + 0.009056081781*x34
        + 0.02503491675*x35 + 0.003964879558*x36 + 0.01612799788*x37
        + 0.0143226682*x38 + 0.02102382726*x39 + 0.01389754147*x40
        + 0.02080391386*x41 - 0.003853830641*x42 + 0.004276573383*x43
        + 0.01144791073*x44 + 0.005850969253*x45 + 0.00848282499*x46
        + 0.3259932735*x47 - 0.002482907497*x48 + 0.006320267331*x49
        - 0.009453216179*x50 + 0.008609303352*x51 - x149 =E= 0;

e101..    0.008920097333*x2 + 0.001084467641*x3 - 0.0001859601201*x4
        + 0.04919582559*x5 + 0.00197188999*x6 + 0.006322249895*x7
        + 0.00936653439*x8 + 0.007365904852*x9 + 0.03035177737*x10
        + 0.0238402337*x11 + 0.03484710351*x12 + 0.00549263734*x13
        + 0.008103572442*x14 + 0.01448559131*x15 + 5.651112013E-5*x16
        + 0.01485511587*x17 + 0.009274617685*x18 + 0.03558697216*x19
        + 0.001659800928*x20 + 0.008392163075*x21 - 0.004897065117*x22
        + 0.004354105185*x23 + 0.006809313879*x24 + 0.03480898048*x25
        + 0.0136688246*x26 + 0.01632282214*x27 + 0.00834805506*x28
        + 0.02078364071*x29 + 0.007695788032*x30 + 0.01167854676*x31
        + 0.01361234561*x32 + 0.01145376163*x33 + 0.01000967179*x34
        + 0.01837120431*x35 + 0.04768491598*x36 + 0.02510446926*x37
        - 0.0008895209889*x38 + 0.02875851866*x39 + 0.04734341505*x40
        + 0.02631675833*x41 + 0.02161727258*x42 + 0.03237930525*x43
        + 0.005631627477*x44 + 0.07773959593*x45 + 0.04732298515*x46
        - 0.002482907497*x47 + 0.2902219253*x48 + 0.02932403109*x49
        + 0.01841935276*x50 - 0.004216999693*x51 - x150 =E= 0;

e102..    0.01077041008*x2 + 0.01129533052*x3 + 0.009374843589*x4
        + 0.02510109754*x5 + 0.01163769225*x6 + 0.002014194504*x7
        + 0.006417807378*x8 + 0.02303620136*x9 + 0.03023445555*x10
        + 0.01117326901*x11 + 0.01595004536*x12 + 0.01786413989*x13
        + 0.005785637396*x14 + 0.009043747094*x15 - 0.0007637319638*x16
        + 0.009970724445*x17 + 0.03261751802*x18 + 0.02350405882*x19
        + 0.003939482232*x20 + 0.008656590841*x21 - 0.02073544993*x22
        + 0.02818209248*x23 + 0.007801149221*x24 - 0.001463608715*x25
        + 0.03615128243*x26 + 0.005747780456*x27 + 0.01125740958*x28
        + 0.03329880521*x29 + 0.01434518051*x30 + 0.02639169544*x31
        + 0.02357028965*x32 + 0.01455937382*x33 + 0.00313767981*x34
        + 0.02275586406*x35 + 0.02106377399*x36 + 0.01327840582*x37
        + 0.008624208874*x38 + 0.02465389283*x39 + 0.0217046223*x40
        + 0.01037648124*x41 + 0.02274012915*x42 + 0.02039182542*x43
        + 0.00882250876*x44 + 0.02320623667*x45 + 0.05116023287*x46
        + 0.006320267331*x47 + 0.02932403109*x48 + 0.233078221*x49
        + 0.01861053869*x50 + 0.0208658649*x51 - x151 =E= 0;

e103..    0.009080468471*x2 + 0.009508750621*x3 + 0.01227332873*x4
        + 0.001399761024*x5 + 0.0142268677*x6 + 0.008878701916*x7
        + 0.009333718928*x8 + 0.01003869396*x9 + 0.009609853754*x10
        + 0.02067892086*x11 + 0.007902418248*x12 + 0.005860771993*x13
        + 0.002535877936*x14 + 0.01081994623*x15 + 0.00820295851*x16
        + 0.006721766114*x17 + 0.008964949722*x18 + 0.02182008258*x19
        + 0.004271935945*x20 + 0.02052238013*x21 + 0.0006864104218*x22
        + 0.02674454911*x23 + 0.01595346639*x24 - 0.01487703215*x25
        + 0.006026326124*x26 + 0.008848583833*x27 + 0.01424366278*x28
        + 0.01432293541*x29 + 0.01598699822*x30 + 0.02700939277*x31
        + 0.002258372751*x32 + 0.006173698943*x33 + 0.006594348022*x34
        + 0.01000834814*x35 + 0.01434235849*x36 + 0.002372375118*x37
        + 0.001648519577*x38 + 0.01678799979*x39 + 0.0148111614*x40
        + 0.01373067953*x41 + 0.0182602031*x42 + 0.01809760136*x43
        + 0.01158120797*x44 + 0.009033829289*x45 - 0.002213182355*x46
        - 0.009453216179*x47 + 0.01841935276*x48 + 0.01861053869*x49
        + 0.3893049517*x50 + 0.0003993450951*x51 - x152 =E= 0;

e104..    0.008075225139*x2 + 0.005087945509*x3 + 0.01202620081*x4
        + 0.02672754448*x5 + 0.01631542179*x6 + 0.008580366609*x7
        + 0.01817314183*x8 + 0.01100173467*x9 - 0.005215625026*x10
        + 0.002619042345*x11 + 0.01566696083*x12 + 0.01846376467*x13
        + 0.008876951539*x14 + 0.01832541654*x15 + 0.007613992596*x16
        + 0.006812843971*x17 + 0.01665520706*x18 + 0.01024395815*x19
        + 0.009811226138*x20 + 0.007758665777*x21 + 0.0005770460997*x22
        + 0.01962105265*x23 + 0.008484340468*x24 + 0.02489371804*x25
        + 0.009596675472*x26 + 0.006774587759*x27 + 0.01046747437*x28
        + 0.006748730214*x29 + 0.01299470388*x30 + 0.006628932792*x31
        + 0.01110410039*x32 + 0.01445951492*x33 + 0.01574570006*x34
        + 0.01802313837*x35 + 0.02320983929*x36 + 0.00425022674*x37
        + 0.007229503865*x38 + 0.006422055053*x39 + 0.01922620696*x40
        + 0.003694072697*x41 + 0.005756144608*x42 + 0.02406463272*x43
        + 0.00367521739*x44 + 1.087815304E-5*x45 + 0.01010716359*x46
        + 0.008609303352*x47 - 0.004216999693*x48 + 0.0208658649*x49
        + 0.0003993450951*x50 + 0.2155515639*x51 - x153 =E= 0;

e105..    1.158041804*x2 + 1.039647139*x3 + 1.01510917*x4 + 1.069892701*x5
        + 1.025657065*x6 + 1.061002011*x7 + 1.026796544*x8 + 1.132143502*x9
        + 1.051244499*x10 + 1.037880812*x11 + 1.050100863*x12 + 1.03832451*x13
        + 1.048785993*x14 + 1.033320302*x15 + 1.01978133*x16 + 1.129241946*x17
        + 1.123248137*x18 + 1.188050707*x19 + 1.030883461*x20 + 1.025605688*x21
        + 1.099176571*x22 + 1.052694385*x23 + 1.028090346*x24 + 1.163811269*x25
        + 1.042606906*x26 + 1.039190169*x27 + 1.027838044*x28 + 1.011375218*x29
        + 1.079713039*x30 + 1.027371721*x31 + 1.059468724*x32 + 1.0499472*x33
        + 1.033011152*x34 + 1.045959409*x35 + 1.068256264*x36 + 1.053366288*x37
        + 1.030453648*x38 + 1.059449404*x39 + 1.026604255*x40 + 1.037443165*x41
        + 1.038082541*x42 + 1.033531967*x43 + 1.075422588*x44 + 1.371102807*x45
        + 1.10711627*x46 + 1.054086497*x47 + 1.080037871*x48 + 1.060403835*x49
        + 1.058237709*x50 + 1.026188162*x51 + x52 - x154 =E= 0.9;

e106..    1.906930379*x2 + 0.03822803553*x3 + 0.005927146857*x4
        - 0.009803244125*x5 + 0.03353437104*x6 + 0.02232555672*x7
        + 0.0519451441*x8 + 0.03333570908*x9 + 0.04193224256*x10
        + 0.02789712712*x11 + 0.02437797632*x12 + 0.04266294429*x13
        + 0.06454120887*x14 + 0.03154549133*x15 + 0.01012912515*x16
        + 0.01031788602*x17 + 0.01458984618*x18 + 0.06239039596*x19
        + 0.02822732054*x20 + 0.05331552974*x21 + 0.01313102704*x22
        + 0.02755735113*x23 + 0.02756015271*x24 - 0.02631142081*x25
        + 0.04882946131*x26 + 0.007112524813*x27 + 0.02637999561*x28
        + 0.005491960908*x29 + 0.3793063836*x30 + 0.04294396078*x31
        + 0.01907287032*x32 - 0.03266152329*x33 + 0.0176316905*x34
        + 0.03168533682*x35 + 0.02093542926*x36 + 0.04054154053*x37
        + 0.03976689525*x38 + 0.08177354122*x39 + 0.01924012927*x40
        + 0.01608378745*x41 + 0.03739620511*x42 + 0.03331578217*x43
        + 0.00821968381*x44 - 0.003137166487*x45 + 0.04559404647*x46
        + 0.01588163988*x47 + 0.01993394873*x48 + 0.02406888561*x49
        + 0.02029233384*x50 + 0.01804589321*x51 - x155 =E= 0;

e107..    0.03822803553*x2 + 0.5033743646*x3 + 0.0143368564*x4
        + 0.01171029757*x5 + 0.0471412374*x6 - 0.01555988312*x7
        + 0.04171489352*x8 + 0.07121481199*x9 + 0.02220409991*x10
        + 0.05077356868*x11 + 0.05026607003*x12 + 0.03603007529*x13
        + 0.04507661958*x14 + 0.00789088983*x15 + 0.0213140119*x16
        + 0.09901698045*x17 + 0.03517433872*x18 + 0.007624292404*x19
        + 0.04104447245*x20 - 0.01488025957*x21 - 0.005372371073*x22
        + 0.02757526046*x23 + 0.04580183999*x24 - 0.00942311064*x25
        + 0.02532288617*x26 + 0.03518924401*x27 + 0.01090379215*x28
        + 0.05715500719*x29 + 0.03748053639*x30 + 0.0158716333*x31
        + 0.02744284944*x32 + 0.02129515347*x33 + 0.03305678562*x34
        + 0.0173264406*x35 - 0.01725228206*x36 + 0.02921298621*x37
        + 0.07097639297*x38 + 0.06676744189*x39 + 0.007123673991*x40
        - 0.003807676227*x41 - 0.003599988083*x42 + 0.01686955026*x43
        - 0.01870770097*x44 + 0.07142332854*x45 + 0.03888068051*x46
        + 0.02141369813*x47 + 0.00242348503*x48 + 0.0252419375*x49
        + 0.02124942591*x50 + 0.01137015002*x51 - x156 =E= 0;

e108..    0.005927146857*x2 + 0.0143368564*x3 + 0.2873848477*x4
        + 0.027484995*x5 + 0.0296222832*x6 + 0.0155548691*x7 + 0.01994060681*x8
        + 0.004592751*x9 + 0.03530488045*x10 + 0.005104383781*x11
        + 0.02869235633*x12 + 0.01973135832*x13 + 0.03239331343*x14
        + 0.04437531837*x15 + 0.02263496824*x16 - 0.009703096166*x17
        + 0.02571278416*x18 + 0.03846966545*x19 + 0.008719156755*x20
        + 0.03471057129*x21 + 0.02268836976*x22 + 0.01718723922*x23
        + 0.03464989811*x24 + 0.01389848132*x25 + 0.01776674626*x26
        + 0.03107191426*x27 + 0.03769920676*x28 + 0.02878509564*x29
        + 0.01701164915*x30 + 0.01678942856*x31 + 0.01313886098*x32
        + 0.0232080864*x33 + 0.03962345992*x34 + 0.02495009775*x35
        + 0.03964954583*x36 + 0.005788853104*x37 + 0.03295367779*x38
        + 0.01640811704*x39 + 0.01288786408*x40 + 0.02576032601*x41
        + 0.02812261922*x42 + 0.02104965187*x43 + 0.04298055614*x44
        + 0.02505563776*x45 + 0.02020103946*x46 + 0.005851124166*x47
        - 0.0004155694004*x48 + 0.02095018075*x49 + 0.02742749282*x50
        + 0.02687523032*x51 - x157 =E= 0;

e109..  - 0.009803244125*x2 + 0.01171029757*x3 + 0.027484995*x4
        + 0.8195939562*x5 + 0.05520808819*x6 + 0.09533878776*x7
        + 0.03262853444*x8 + 0.05283104728*x9 + 0.04013006156*x10
        + 0.04071169047*x11 - 0.009769854451*x12 + 0.06557414016*x13
        + 0.02033057119*x14 + 0.0391244211*x15 + 0.03106441816*x16
        + 0.01514132597*x17 + 0.07866560047*x18 + 0.07651041069*x19
        + 0.02488055409*x20 + 0.02178636628*x21 + 0.01888442601*x22
        + 0.07896574951*x23 + 0.05534087994*x24 - 0.01764892056*x25
        + 0.05841549564*x26 + 0.05093254543*x27 - 0.01247984959*x28
        + 0.02000173466*x29 + 0.06979035406*x30 + 0.04515698542*x31
        + 0.05817512376*x32 + 0.001854840384*x33 + 0.06139439908*x34
        + 0.04637572517*x35 + 0.04185490912*x36 - 0.003739429356*x37
        + 0.02159280613*x38 + 0.08468380815*x39 + 0.0006932057428*x40
        + 0.07294113408*x41 + 0.0795793942*x42 + 0.0335527615*x43
        + 0.03999788731*x44 + 0.08441125605*x45 + 0.0602496415*x46
        + 0.02377892677*x47 + 0.1099390543*x48 + 0.05609400577*x49
        + 0.003128078478*x50 + 0.05972866455*x51 - x158 =E= 0;

e110..    0.03353437104*x2 + 0.0471412374*x3 + 0.0296222832*x4
        + 0.05520808819*x5 + 0.3182879992*x6 + 0.0315984466*x7
        + 0.06801635803*x8 + 0.005160129009*x9 + 0.02254540803*x10
        + 0.0526026994*x11 + 0.03216592276*x12 + 0.04973698457*x13
        + 0.02907299183*x14 + 0.03624371424*x15 + 0.07669075875*x16
        + 0.008792573522*x17 + 0.02366124123*x18 + 0.02227090962*x19
        + 0.09473088313*x20 + 0.01855631232*x21 + 0.01492995353*x22
        + 0.01900989063*x23 + 0.07564512851*x24 + 0.0237448994*x25
        + 0.04809331003*x26 + 0.03774192436*x27 + 0.02862328657*x28
        + 0.008157373327*x29 + 0.003480456653*x30 + 0.002796906957*x31
        + 0.03072130652*x32 + 0.02106996833*x33 + 0.05535850431*x34
        + 0.04081689389*x35 + 0.02568654223*x36 + 0.02188253834*x37
        + 0.08031078555*x38 + 0.1021212955*x39 + 0.05200621121*x40
        + 0.01408162447*x41 + 0.02611907799*x42 + 0.0369207138*x43
        + 0.03282789612*x44 + 0.005861818411*x45 + 0.02754539936*x46
        + 0.03644428336*x47 + 0.004406628368*x48 + 0.02600702122*x49
        + 0.03179311175*x50 + 0.03646045208*x51 - x159 =E= 0;

e111..    0.02232555672*x2 - 0.01555988312*x3 + 0.0155548691*x4
        + 0.09533878776*x5 + 0.0315984466*x6 + 0.7785608012*x7
        + 0.002467161857*x8 + 0.08544155847*x9 + 0.02141498159*x10
        + 0.02329139553*x11 + 0.01654087055*x12 + 0.05196188759*x13
        + 0.04646884905*x14 - 0.009728349239*x15 + 0.01816594266*x16
        + 0.02930244561*x17 + 0.04914058396*x18 + 0.02618067695*x19
        + 0.01769953076*x20 + 0.003778049708*x21 + 0.1277096995*x22
        + 0.05479564237*x23 + 0.02638100706*x24 - 0.001951817485*x25
        + 0.01874375538*x26 + 0.03443940028*x27 - 0.002292354483*x28
        + 0.003706380504*x29 + 0.03193450669*x30 + 0.01889131924*x31
        + 0.04365636534*x32 + 0.02581556686*x33 + 0.0450527296*x34
        + 0.03026734523*x35 + 0.04162507894*x36 + 0.01361807803*x37
        + 0.02739347116*x38 + 0.008452737226*x39 + 0.009606049845*x40
        + 0.07008102448*x41 + 0.04156482215*x42 + 0.0107349101*x43
        + 0.02747631163*x44 + 0.0649280845*x45 + 0.07227420057*x46
        + 0.01687198112*x47 + 0.01412847871*x48 + 0.004501167249*x49
        + 0.01984144143*x50 + 0.01917474459*x51 - x160 =E= 0;

e112..    0.0519451441*x2 + 0.04171489352*x3 + 0.01994060681*x4
        + 0.03262853444*x5 + 0.06801635803*x6 + 0.002467161857*x7
        + 0.3031661152*x8 + 0.01880170654*x9 + 0.03110418021*x10
        + 0.04463929468*x11 + 0.04775718543*x12 + 0.02611776604*x13
        + 0.04333541753*x14 + 0.03190102738*x15 + 0.06859562597*x16
        + 0.02973104584*x17 + 0.02958047325*x18 + 0.02169460559*x19
        + 0.07354933025*x20 + 0.005304231121*x21 + 0.00812412217*x22
        + 0.04182086717*x23 + 0.05881322742*x24 + 0.01756192524*x25
        - 0.000355709132*x26 + 0.01042580428*x27 + 0.0161483923*x28
        + 0.02319918651*x29 - 0.004210025808*x30 + 0.01056831005*x31
        + 0.02964852419*x32 + 0.02615413377*x33 + 0.04486666623*x34
        + 0.03898125103*x35 + 0.02539944411*x36 + 0.02959524563*x37
        + 0.07696689*x38 + 0.0753267896*x39 + 0.02820537612*x40
        + 0.02210724272*x41 + 0.01815865829*x42 + 0.0299923754*x43
        + 0.02437983964*x44 - 0.005330030182*x45 + 0.02222474834*x46
        + 0.04164065165*x47 + 0.02093161199*x48 + 0.01434202324*x49
        + 0.02085827851*x50 + 0.04061194222*x51 - x161 =E= 0;

e113..    0.03333570908*x2 + 0.07121481199*x3 + 0.004592751*x4
        + 0.05283104728*x5 + 0.005160129009*x6 + 0.08544155847*x7
        + 0.01880170654*x8 + 0.9319502717*x9 + 0.07768705951*x10
        + 0.01094474277*x11 + 0.06266643722*x12 + 0.02668803949*x13
        + 0.03673635656*x14 + 0.02039943361*x15 - 0.01597152644*x16
        + 0.07215854255*x17 + 0.04616866455*x18 + 0.04044009291*x19
        + 0.01238670408*x20 + 0.02499790899*x21 + 0.02065288383*x22
        + 0.01321063461*x23 - 0.04201691547*x24 - 0.004318540992*x25
        + 0.07231084171*x26 + 0.01847445757*x27 - 0.0212435203*x28
        - 0.003000941246*x29 + 0.04563326552*x30 + 0.03948294745*x31
        + 0.01022990709*x32 + 0.02435574929*x33 + 0.001558261404*x34
        + 0.03669504132*x35 + 0.04420390033*x36 + 0.006126895801*x37
        + 0.0347397003*x38 + 0.04562610087*x39 - 0.001721255033*x40
        + 0.02552230725*x41 + 0.01237547779*x42 + 0.05133150156*x43
        + 0.03078117526*x44 + 0.1026943853*x45 + 0.05977521089*x46
        + 0.04407256011*x47 + 0.01646075869*x48 + 0.05147953432*x49
        + 0.02243370259*x50 + 0.02458583205*x51 - x162 =E= 0;

e114..    0.04193224256*x2 + 0.02220409991*x3 + 0.03530488045*x4
        + 0.04013006156*x5 + 0.02254540803*x6 + 0.02141498159*x7
        + 0.03110418021*x8 + 0.07768705951*x9 + 0.4907612786*x10
        + 0.03283030056*x11 + 0.04119256521*x12 + 0.03153260121*x13
        + 0.01291904536*x14 + 0.008669323851*x15 - 0.01397472076*x16
        + 0.04176781339*x17 + 0.0467329938*x18 + 0.09783026051*x19
        + 0.02100438461*x20 + 0.02043339136*x21 - 0.01488455873*x22
        + 0.04202642091*x23 + 0.02916973234*x24 - 0.01744669777*x25
        + 0.01820160402*x26 + 0.04323889765*x27 + 0.00107120256*x28
        + 0.02413467546*x29 + 0.03377478197*x30 + 0.03907953082*x31
        + 0.03255376578*x32 + 0.0228297765*x33 + 0.07691175396*x34
        + 0.0223376309*x35 + 0.05919540117*x36 + 0.04943832046*x37
        + 0.04124580703*x38 + 0.05685515252*x39 + 0.01548672634*x40
        + 0.02688935553*x41 + 0.0226165884*x42 + 0.04416391354*x43
        + 0.04030779875*x44 + 0.1037281873*x45 + 0.06495437088*x46
        + 0.03480700443*x47 + 0.06782782198*x48 + 0.06756564017*x49
        + 0.02147536343*x50 - 0.01165547841*x51 - x163 =E= 0;

e115..    0.02789712712*x2 + 0.05077356868*x3 + 0.005104383781*x4
        + 0.04071169047*x5 + 0.0526026994*x6 + 0.02329139553*x7
        + 0.04463929468*x8 + 0.01094474277*x9 + 0.03283030056*x10
        + 0.3586905027*x11 + 0.03378376414*x12 + 0.0395325775*x13
        + 0.04856429114*x14 + 0.008771574022*x15 + 0.0423984687*x16
        + 0.0136885174*x17 + 0.06148861144*x18 + 0.01229856821*x19
        + 0.03624780228*x20 + 0.0118733249*x21 - 0.005368046773*x22
        + 0.03856047439*x23 + 0.04560188011*x24 + 0.009787764851*x25
        + 0.03381011377*x26 + 0.03477498947*x27 - 0.001700216679*x28
        + 0.0208775086*x29 + 0.03031807479*x30 + 0.02216046908*x31
        + 0.03443761213*x32 + 0.02707892353*x33 + 0.0519951355*x34
        + 0.01350300561*x35 + 0.04962136312*x36 + 0.01251327589*x37
        + 0.05104901707*x38 + 0.06497885876*x39 + 0.03371385151*x40
        + 0.00908694803*x41 + 0.02814697887*x42 + 0.04323469381*x43
        + 0.02188966546*x44 + 0.03647828783*x45 + 0.03994125352*x46
        + 0.03872495476*x47 + 0.05327632407*x48 + 0.02496916381*x49
        + 0.04621166482*x50 + 0.005852834771*x51 - x164 =E= 0;

e116..    0.02437797632*x2 + 0.05026607003*x3 + 0.02869235633*x4
        - 0.009769854451*x5 + 0.03216592276*x6 + 0.01654087055*x7
        + 0.04775718543*x8 + 0.06266643722*x9 + 0.04119256521*x10
        + 0.03378376414*x11 + 0.5635614324*x12 + 0.01246947573*x13
        + 0.03337944291*x14 + 0.01838752389*x15 + 0.02880239408*x16
        + 0.005320526472*x17 + 0.04833359989*x18 + 0.02463566447*x19
        + 0.005237992046*x20 + 0.03077105044*x21 - 0.01669921411*x22
        + 0.03657556613*x23 + 0.05502436754*x24 + 0.07412698863*x25
        + 0.03943216363*x26 + 0.006809694524*x27 + 0.02899327687*x28
        + 0.01961006787*x29 + 0.05582667497*x30 + 0.03027442477*x31
        + 0.06580218152*x32 + 0.03113466564*x33 + 0.02441934249*x34
        + 0.036508334*x35 + 0.04443956643*x36 + 0.01078433387*x37
        + 0.03369507111*x38 + 0.08487970037*x39 + 0.03353742525*x40
        + 0.009685830373*x41 + 0.004708810146*x42 + 0.06324242049*x43
        + 0.01948548718*x44 + 0.08993124489*x45 + 0.02671979506*x46
        + 0.04559326496*x47 + 0.07787363173*x48 + 0.0356439369*x49
        + 0.01765971764*x50 + 0.03501132133*x51 - x165 =E= 0;

e117..    0.04266294429*x2 + 0.03603007529*x3 + 0.01973135832*x4
        + 0.06557414016*x5 + 0.04973698457*x6 + 0.05196188759*x7
        + 0.02611776604*x8 + 0.02668803949*x9 + 0.03153260121*x10
        + 0.0395325775*x11 + 0.01246947573*x12 + 0.6123360442*x13
        + 0.0370791899*x14 + 0.007403501718*x15 + 0.04828384931*x16
        - 0.02919904217*x17 + 0.02025652178*x18 + 0.05126384409*x19
        + 0.03260937953*x20 - 0.02249407836*x21 - 0.009769566534*x22
        + 0.0723310436*x23 + 0.0237771606*x24 - 0.01660379738*x25
        + 0.0347479414*x26 + 0.03538261979*x27 + 0.0228498875*x28
        + 0.041169656*x29 + 0.05188852061*x30 + 0.004744413804*x31
        + 0.02017629539*x32 + 0.01105578893*x33 + 0.1150067407*x34
        + 0.08567266196*x35 + 0.02494431982*x36 + 0.02293300764*x37
        + 0.02971762118*x38 + 0.04274281306*x39 + 0.04831216989*x40
        + 0.02991199575*x41 + 0.02958342742*x42 + 0.03036962249*x43
        + 0.04314817092*x44 + 0.0564559971*x45 + 0.06689945297*x46
        + 0.03102920746*x47 + 0.01227452426*x48 + 0.0399214084*x49
        + 0.01309720332*x50 + 0.04126140384*x51 - x166 =E= 0;

e118..    0.06454120887*x2 + 0.04507661958*x3 + 0.03239331343*x4
        + 0.02033057119*x5 + 0.02907299183*x6 + 0.04646884905*x7
        + 0.04333541753*x8 + 0.03673635656*x9 + 0.01291904536*x10
        + 0.04856429114*x11 + 0.03337944291*x12 + 0.0370791899*x13
        + 0.8459698595*x14 + 0.031128143*x15 + 0.02197270213*x16
        + 0.04909331802*x17 + 0.05633432612*x18 + 0.001269835223*x19
        + 0.02345369397*x20 + 0.01755993611*x21 + 0.04390642624*x22
        + 0.01776385228*x23 + 0.05306959132*x24 + 0.01821082513*x25
        + 0.01625286517*x26 + 0.001245145533*x27 + 0.0199414192*x28
        + 0.01175096891*x29 + 0.06914937761*x30 + 0.02046947137*x31
        - 0.02726147158*x32 + 0.03233360666*x33 + 0.03634173175*x34
        + 0.0247001873*x35 + 0.07637013277*x36 - 0.008827701161*x37
        + 0.04147797444*x38 + 0.03090099021*x39 + 0.0217401479*x40
        + 0.0184089343*x41 + 0.02443015527*x42 + 0.0372649978*x43
        + 0.05220941418*x44 - 0.001133363004*x45 + 0.04676849522*x46
        + 0.02887868354*x47 + 0.01810924159*x48 + 0.01292929829*x49
        + 0.005666985333*x50 + 0.01983752982*x51 - x167 =E= 0;

e119..    0.03154549133*x2 + 0.00789088983*x3 + 0.04437531837*x4
        + 0.0391244211*x5 + 0.03624371424*x6 - 0.009728349239*x7
        + 0.03190102738*x8 + 0.02039943361*x9 + 0.008669323851*x10
        + 0.008771574022*x11 + 0.01838752389*x12 + 0.007403501718*x13
        + 0.031128143*x14 + 0.3805839624*x15 + 0.02705613327*x16
        + 0.02243954206*x17 + 0.02002317922*x18 + 0.01590740725*x19
        + 0.01846903064*x20 + 0.02442191353*x21 + 0.02053049385*x22
        + 0.01734691375*x23 + 0.02402121034*x24 - 0.01190760419*x25
        + 0.03279234384*x26 + 0.02392548474*x27 + 0.0612886602*x28
        + 0.02617536354*x29 + 0.04398282664*x30 + 0.03491436492*x31
        + 0.02943346108*x32 + 0.01827129088*x33 + 0.06149087362*x34
        + 0.03004589197*x35 + 0.02977200919*x36 + 0.002722733793*x37
        + 0.03537629877*x38 + 0.0389349655*x39 + 0.03076193545*x40
        + 0.03238818963*x41 + 0.0209848186*x42 + 0.02637593171*x43
        + 0.01227556307*x44 + 0.04670361835*x45 + 0.01365206075*x46
        + 0.02760047167*x47 + 0.03237128741*x48 + 0.02021027172*x49
        + 0.02417958519*x50 + 0.04095223405*x51 - x168 =E= 0;

e120..    0.01012912515*x2 + 0.0213140119*x3 + 0.02263496824*x4
        + 0.03106441816*x5 + 0.07669075875*x6 + 0.01816594266*x7
        + 0.06859562597*x8 - 0.01597152644*x9 - 0.01397472076*x10
        + 0.0423984687*x11 + 0.02880239408*x12 + 0.04828384931*x13
        + 0.02197270213*x14 + 0.02705613327*x15 + 0.2605770023*x16
        + 0.005900931857*x17 + 0.02392898684*x18 + 0.01105130741*x19
        + 0.03641994405*x20 + 0.01434591268*x21 - 0.003839788002*x22
        + 0.05096027114*x23 + 0.05367548619*x24 - 0.01194052677*x25
        + 0.04180178089*x26 + 0.01811112755*x27 + 0.02375623737*x28
        - 0.001432792519*x29 + 0.02813315022*x30 + 0.01016570219*x31
        + 0.006928265426*x32 + 0.0204428449*x33 + 0.03196414282*x34
        + 0.02261533506*x35 + 0.00601927875*x36 + 0.002042709446*x37
        + 0.04598424478*x38 + 0.06953522281*x39 + 0.007331408388*x40
        + 0.01457707533*x41 + 0.007720124862*x42 + 0.02229613813*x43
        + 0.036046671*x44 - 0.007610858354*x45 + 0.00925709417*x46
        + 0.01990407928*x47 + 0.0001262867129*x48 - 0.001706729561*x49
        + 0.01833134194*x50 + 0.01701516613*x51 - x169 =E= 0;

e121..    0.01031788602*x2 + 0.09901698045*x3 - 0.009703096166*x4
        + 0.01514132597*x5 + 0.008792573522*x6 + 0.02930244561*x7
        + 0.02973104584*x8 + 0.07215854255*x9 + 0.04176781339*x10
        + 0.0136885174*x11 + 0.005320526472*x12 - 0.02919904217*x13
        + 0.04909331802*x14 + 0.02243954206*x15 + 0.005900931857*x16
        + 1.057863731*x17 + 0.02130710417*x18 + 0.02124666276*x19
        + 0.01171026918*x20 - 0.01545475444*x21 + 0.01865154552*x22
        + 0.0007946989532*x23 - 0.008208852861*x24 - 0.01109762181*x25
        + 0.04784970329*x26 + 0.0197778796*x27 + 0.03134550494*x28
        + 0.01968288014*x29 + 0.05845433407*x30 + 0.0301326312*x31
        + 0.01114345979*x32 + 0.01065693602*x33 - 0.002835796872*x34
        - 0.004791401136*x35 + 0.008290768822*x36 + 0.03703193386*x37
        - 0.01737617264*x38 - 0.01213644141*x39 + 0.01382897665*x40
        + 0.01844771725*x41 + 0.03177208185*x42 + 0.0364486981*x43
        + 0.01161458297*x44 + 0.1717407143*x45 - 0.01137845882*x46
        + 0.02876459205*x47 + 0.03319707252*x48 + 0.02228180954*x49
        + 0.01502128689*x50 + 0.01522482069*x51 - x170 =E= 0;

e122..    0.01458984618*x2 + 0.03517433872*x3 + 0.02571278416*x4
        + 0.07866560047*x5 + 0.02366124123*x6 + 0.04914058396*x7
        + 0.02958047325*x8 + 0.04616866455*x9 + 0.0467329938*x10
        + 0.06148861144*x11 + 0.04833359989*x12 + 0.02025652178*x13
        + 0.05633432612*x14 + 0.02002317922*x15 + 0.02392898684*x16
        + 0.02130710417*x17 + 0.8780637174*x18 + 0.05530074582*x19
        + 0.03440338015*x20 + 0.0476870195*x21 - 0.006859846946*x22
        + 0.04067839069*x23 + 0.02365994629*x24 - 0.01497407325*x25
        + 0.08756153395*x26 + 0.01504045313*x27 + 0.02231563196*x28
        + 0.03211578701*x29 + 0.05767248944*x30 + 0.07733301709*x31
        + 0.03843857915*x32 + 0.02773957662*x33 + 0.07065239508*x34
        + 0.06903355721*x35 + 0.04441937331*x36 + 0.008665032083*x37
        + 0.03776412277*x38 + 0.01116596852*x39 + 0.02729916587*x40
        + 0.0299107276*x41 + 0.0543765248*x42 + 0.05657489072*x43
        + 0.07595440554*x44 + 0.06628713066*x45 + 0.1058835112*x46
        + 0.1055189693*x47 + 0.02072620359*x48 + 0.07289112524*x49
        + 0.0200341814*x50 + 0.03721977812*x51 - x171 =E= 0;

e123..    0.06239039596*x2 + 0.007624292404*x3 + 0.03846966545*x4
        + 0.07651041069*x5 + 0.02227090962*x6 + 0.02618067695*x7
        + 0.02169460559*x8 + 0.04044009291*x9 + 0.09783026051*x10
        + 0.01229856821*x11 + 0.02463566447*x12 + 0.05126384409*x13
        + 0.001269835223*x14 + 0.01590740725*x15 + 0.01105130741*x16
        + 0.02124666276*x17 + 0.05530074582*x18 + 1.896328681*x19
        + 0.01584679644*x20 + 0.0201207881*x21 + 0.001369484554*x22
        + 0.07660158467*x23 + 0.01836210362*x24 + 0.02070623688*x25
        + 0.02781028802*x26 + 0.03633714556*x27 + 0.006939464323*x28
        + 0.09364440882*x29 + 0.02077999235*x30 + 0.03540689647*x31
        + 0.03957519401*x32 + 0.04711924553*x33 + 0.04730933771*x34
        + 0.02978729381*x35 + 0.0183394719*x36 + 0.08137160601*x37
        + 0.05160417869*x38 + 0.04847432421*x39 + 0.03528180151*x40
        + 0.03585709902*x41 + 0.1007893626*x42 + 0.08016320601*x43
        + 0.1157807736*x44 + 0.0777719156*x45 + 0.1294385301*x46
        + 0.05113518046*x47 + 0.07952703339*x48 + 0.05252506626*x49
        + 0.04876184543*x50 + 0.02289241126*x51 - x172 =E= 0;

e124..    0.02822732054*x2 + 0.04104447245*x3 + 0.008719156755*x4
        + 0.02488055409*x5 + 0.09473088313*x6 + 0.01769953076*x7
        + 0.07354933025*x8 + 0.01238670408*x9 + 0.02100438461*x10
        + 0.03624780228*x11 + 0.005237992046*x12 + 0.03260937953*x13
        + 0.02345369397*x14 + 0.01846903064*x15 + 0.03641994405*x16
        + 0.01171026918*x17 + 0.03440338015*x18 + 0.01584679644*x19
        + 0.3736382416*x20 + 0.003801072794*x21 + 0.01139194473*x22
        + 0.02569910717*x23 + 0.06076654231*x24 - 0.002120190635*x25
        + 0.03031575715*x26 + 0.01337796604*x27 + 0.02670877088*x28
        + 0.03295375913*x29 + 0.01616919273*x30 + 0.01295693026*x31
        + 0.02370334238*x32 + 0.0312365508*x33 + 0.04065574447*x34
        + 0.06422456745*x35 + 0.01440185133*x36 + 0.01761359469*x37
        + 0.08813629376*x38 + 0.07015333301*x39 + 0.0335488898*x40
        + 0.01625488701*x41 + 0.01228872513*x42 + 0.01360891483*x43
        + 0.02428083683*x44 - 0.02923717599*x45 + 0.04332406643*x46
        + 0.007539311224*x47 + 0.003709195691*x48 + 0.00880365246*x49
        + 0.009546594496*x50 + 0.02192537497*x51 - x173 =E= 0;

e125..    0.05331552974*x2 - 0.01488025957*x3 + 0.03471057129*x4
        + 0.02178636628*x5 + 0.01855631232*x6 + 0.003778049708*x7
        + 0.005304231121*x8 + 0.02499790899*x9 + 0.02043339136*x10
        + 0.0118733249*x11 + 0.03077105044*x12 - 0.02249407836*x13
        + 0.01755993611*x14 + 0.02442191353*x15 + 0.01434591268*x16
        - 0.01545475444*x17 + 0.0476870195*x18 + 0.0201207881*x19
        + 0.003801072794*x20 + 0.3900894225*x21 - 0.03107883258*x22
        + 0.00516898918*x23 - 0.01162340167*x24 + 0.003657634593*x25
        + 0.03617473131*x26 + 0.003999507124*x27 + 0.03954494264*x28
        + 0.05804437265*x29 + 0.0320786849*x30 + 7.502591493E-7*x31
        - 0.0005840778175*x32 + 0.08644372974*x33 + 0.02767160964*x34
        + 0.02708204845*x35 + 0.0007607082298*x36 + 0.03530310029*x37
        + 0.02817372108*x38 + 0.03433948491*x39 + 0.006123883966*x40
        + 0.02218293661*x41 + 0.04464319915*x42 + 0.02048856716*x43
        + 0.01918926555*x44 + 0.02329753979*x45 - 0.01115643357*x46
        - 0.002124397596*x47 + 0.01875416178*x48 + 0.01934508465*x49
        + 0.04586183961*x50 + 0.01733847065*x51 - x174 =E= 0;

e126..    0.01313102704*x2 - 0.005372371073*x3 + 0.02268836976*x4
        + 0.01888442601*x5 + 0.01492995353*x6 + 0.1277096995*x7
        + 0.00812412217*x8 + 0.02065288383*x9 - 0.01488455873*x10
        - 0.005368046773*x11 - 0.01669921411*x12 - 0.009769566534*x13
        + 0.04390642624*x14 + 0.02053049385*x15 - 0.003839788002*x16
        + 0.01865154552*x17 - 0.006859846946*x18 + 0.001369484554*x19
        + 0.01139194473*x20 - 0.03107883258*x21 + 1.194261195*x22
        + 0.02775179421*x23 + 0.005866928213*x24 + 0.01658440956*x25
        - 0.01165185915*x26 + 0.0440814433*x27 - 0.03779240408*x28
        - 0.004903970218*x29 - 0.008119064065*x30 + 0.01663383701*x31
        + 0.06231993736*x32 - 0.009622099553*x33 - 0.0007353288939*x34
        + 0.03888091913*x35 - 0.01103673554*x36 + 0.01132499773*x37
        + 0.0207138892*x38 + 0.008841398816*x39 - 0.03069168782*x40
        - 0.01024048792*x41 - 0.01651244279*x42 + 0.001953607362*x43
        + 0.02877235806*x44 + 0.08236469953*x45 - 0.007650505724*x46
        + 0.05122730049*x47 - 0.01094358518*x48 - 0.04633799164*x49
        + 0.001533937315*x50 + 0.001289538324*x51 - x175 =E= 0;

e127..    0.02755735113*x2 + 0.02757526046*x3 + 0.01718723922*x4
        + 0.07896574951*x5 + 0.01900989063*x6 + 0.05479564237*x7
        + 0.04182086717*x8 + 0.01321063461*x9 + 0.04202642091*x10
        + 0.03856047439*x11 + 0.03657556613*x12 + 0.0723310436*x13
        + 0.01776385228*x14 + 0.01734691375*x15 + 0.05096027114*x16
        + 0.0007946989532*x17 + 0.04067839069*x18 + 0.07660158467*x19
        + 0.02569910717*x20 + 0.00516898918*x21 + 0.02775179421*x22
        + 0.567389982*x23 + 0.04524633901*x24 - 0.02566461176*x25
        + 0.05734450323*x26 + 0.05041529652*x27 + 0.03500967692*x28
        + 0.03026746543*x29 + 0.07111673537*x30 + 0.052444994*x31
        + 0.01882311007*x32 + 0.001983029689*x33 + 0.06325656821*x34
        + 0.08455182434*x35 + 0.06000944187*x36 + 0.0888464113*x37
        + 0.05270639299*x38 + 0.05033694066*x39 + 0.06412701254*x40
        + 0.04120949056*x41 + 0.0007198047197*x42 + 0.06903291273*x43
        + 0.07256744901*x44 + 0.02126543195*x45 + 0.09906153393*x46
        + 0.04426372981*x47 + 0.009730220006*x48 + 0.06297917674*x49
        + 0.05976666519*x50 + 0.04384762217*x51 - x176 =E= 0;

e128..    0.02756015271*x2 + 0.04580183999*x3 + 0.03464989811*x4
        + 0.05534087994*x5 + 0.07564512851*x6 + 0.02638100706*x7
        + 0.05881322742*x8 - 0.04201691547*x9 + 0.02916973234*x10
        + 0.04560188011*x11 + 0.05502436754*x12 + 0.0237771606*x13
        + 0.05306959132*x14 + 0.02402121034*x15 + 0.05367548619*x16
        - 0.008208852861*x17 + 0.02365994629*x18 + 0.01836210362*x19
        + 0.06076654231*x20 - 0.01162340167*x21 + 0.005866928213*x22
        + 0.04524633901*x23 + 0.4533318943*x24 + 0.02662271188*x25
        + 0.001759146037*x26 + 0.03684592222*x27 + 0.01913615091*x28
        + 0.02772162287*x29 + 0.03179884261*x30 + 0.0370721562*x31
        + 0.05173840148*x32 + 0.04163243841*x33 - 0.0008590718538*x34
        + 0.05622412649*x35 + 0.03153222769*x36 + 0.04182769668*x37
        + 0.08712089716*x38 + 0.1116957979*x39 + 0.03496874692*x40
        + 0.06139005414*x41 + 0.02912556996*x42 + 0.03289036242*x43
        + 0.03312519754*x44 + 0.01574985455*x45 + 0.04891716612*x46
        + 0.01798604607*x47 + 0.01521693191*x48 + 0.01743340939*x49
        + 0.03565158196*x50 + 0.01896015274*x51 - x177 =E= 0;

e129..  - 0.02631142081*x2 - 0.00942311064*x3 + 0.01389848132*x4
        - 0.01764892056*x5 + 0.0237448994*x6 - 0.001951817485*x7
        + 0.01756192524*x8 - 0.004318540992*x9 - 0.01744669777*x10
        + 0.009787764851*x11 + 0.07412698863*x12 - 0.01660379738*x13
        + 0.01821082513*x14 - 0.01190760419*x15 - 0.01194052677*x16
        - 0.01109762181*x17 - 0.01497407325*x18 + 0.02070623688*x19
        - 0.002120190635*x20 + 0.003657634593*x21 + 0.01658440956*x22
        - 0.02566461176*x23 + 0.02662271188*x24 + 2.567339773*x25
        + 0.008400039776*x26 - 0.01057513232*x27 + 0.01636986402*x28
        + 0.004717305812*x29 + 0.06063493747*x30 + 0.01682812193*x31
        - 0.01824333914*x32 + 0.02223711615*x33 - 0.01458005218*x34
        + 0.03881416397*x35 + 0.01161064463*x36 + 0.03149540976*x37
        + 0.0167691008*x38 + 0.03105043411*x39 - 0.007099246208*x40
        - 0.001135624397*x41 + 0.1960576259*x42 - 0.01212486003*x43
        - 0.01730553984*x44 + 0.05984066229*x45 - 0.003466092039*x46
        - 0.0122738112*x47 + 0.07778843732*x48 - 0.003270760395*x49
        - 0.03324604935*x50 + 0.05563056999*x51 - x178 =E= 0;

e130..    0.04882946131*x2 + 0.02532288617*x3 + 0.01776674626*x4
        + 0.05841549564*x5 + 0.04809331003*x6 + 0.01874375538*x7
        - 0.000355709132*x8 + 0.07231084171*x9 + 0.01820160402*x10
        + 0.03381011377*x11 + 0.03943216363*x12 + 0.0347479414*x13
        + 0.01625286517*x14 + 0.03279234384*x15 + 0.04180178089*x16
        + 0.04784970329*x17 + 0.08756153395*x18 + 0.02781028802*x19
        + 0.03031575715*x20 + 0.03617473131*x21 - 0.01165185915*x22
        + 0.05734450323*x23 + 0.001759146037*x24 + 0.008400039776*x25
        + 0.4654878374*x26 + 0.04949194968*x27 + 0.03215915341*x28
        + 0.03454543355*x29 + 0.03700080637*x30 + 0.007360880019*x31
        + 0.01837898101*x32 + 0.01221973411*x33 + 0.04281374946*x34
        + 0.01468970391*x35 + 0.03844221888*x36 + 0.007640493706*x37
        + 0.03730006491*x38 + 0.06107992718*x39 + 0.04324472166*x40
        + 0.03485804184*x41 + 0.01339120685*x42 + 0.03853347621*x43
        + 0.03993624772*x44 + 0.01488830171*x45 + 0.03391813869*x46
        + 0.001471626027*x47 + 0.03054603986*x48 + 0.08078811066*x49
        + 0.01346717098*x50 + 0.02144591361*x51 - x179 =E= 0;

e131..    0.007112524813*x2 + 0.03518924401*x3 + 0.03107191426*x4
        + 0.05093254543*x5 + 0.03774192436*x6 + 0.03443940028*x7
        + 0.01042580428*x8 + 0.01847445757*x9 + 0.04323889765*x10
        + 0.03477498947*x11 + 0.006809694524*x12 + 0.03538261979*x13
        + 0.001245145533*x14 + 0.02392548474*x15 + 0.01811112755*x16
        + 0.0197778796*x17 + 0.01504045313*x18 + 0.03633714556*x19
        + 0.01337796604*x20 + 0.003999507124*x21 + 0.0440814433*x22
        + 0.05041529652*x23 + 0.03684592222*x24 - 0.01057513232*x25
        + 0.04949194968*x26 + 0.3716028729*x27 + 0.01401647807*x28
        + 0.002522855661*x29 + 0.04206502322*x30 + 0.03293552939*x31
        + 0.04509150864*x32 - 0.006684091018*x33 + 0.05179081507*x34
        + 0.03500152081*x35 + 0.03365409914*x36 + 0.03562014408*x37
        + 0.02642345973*x38 + 0.0410211917*x39 + 0.02101504514*x40
        - 0.01125316731*x41 + 0.04346822712*x42 + 0.03913391451*x43
        + 0.02814295939*x44 + 0.06407590381*x45 + 0.04316651759*x46
        + 0.004336193749*x47 + 0.03647698981*x48 + 0.01284469851*x49
        + 0.01977413585*x50 + 0.01513932864*x51 - x180 =E= 0;

e132..    0.02637999561*x2 + 0.01090379215*x3 + 0.03769920676*x4
        - 0.01247984959*x5 + 0.02862328657*x6 - 0.002292354483*x7
        + 0.0161483923*x8 - 0.0212435203*x9 + 0.00107120256*x10
        - 0.001700216679*x11 + 0.02899327687*x12 + 0.0228498875*x13
        + 0.0199414192*x14 + 0.0612886602*x15 + 0.02375623737*x16
        + 0.03134550494*x17 + 0.02231563196*x18 + 0.006939464323*x19
        + 0.02670877088*x20 + 0.03954494264*x21 - 0.03779240408*x22
        + 0.03500967692*x23 + 0.01913615091*x24 + 0.01636986402*x25
        + 0.03215915341*x26 + 0.01401647807*x27 + 0.3365699199*x28
        + 0.01074160051*x29 + 0.04171582658*x30 + 0.002819288182*x31
        + 0.01625884912*x32 + 0.04263806432*x33 + 0.01311877657*x34
        + 0.02236682564*x35 + 0.01151897616*x36 + 0.01957240907*x37
        + 0.01767622625*x38 + 0.01467627275*x39 + 0.01782452056*x40
        + 0.03732799809*x41 - 0.01115332516*x42 + 0.01548658553*x43
        + 0.009977604171*x44 - 0.00464579129*x45 + 0.01011690554*x46
        + 0.03336076734*x47 + 0.01865559257*x48 + 0.02515719471*x49
        + 0.03183064409*x50 + 0.02339190814*x51 - x181 =E= 0;

e133..    0.005491960908*x2 + 0.05715500719*x3 + 0.02878509564*x4
        + 0.02000173466*x5 + 0.008157373327*x6 + 0.003706380504*x7
        + 0.02319918651*x8 - 0.003000941246*x9 + 0.02413467546*x10
        + 0.0208775086*x11 + 0.01961006787*x12 + 0.041169656*x13
        + 0.01175096891*x14 + 0.02617536354*x15 - 0.001432792519*x16
        + 0.01968288014*x17 + 0.03211578701*x18 + 0.09364440882*x19
        + 0.03295375913*x20 + 0.05804437265*x21 - 0.004903970218*x22
        + 0.03026746543*x23 + 0.02772162287*x24 + 0.004717305812*x25
        + 0.03454543355*x26 + 0.002522855661*x27 + 0.01074160051*x28
        + 0.4026145385*x29 + 0.016719814*x30 + 0.0431208047*x31
        - 0.001023300748*x32 + 0.03566420318*x33 + 0.04399483383*x34
        + 0.04758257991*x35 + 0.0118954649*x36 + 0.0803936288*x37
        + 0.04086797444*x38 + 0.01531618897*x39 + 0.04690802079*x40
        + 0.003965510432*x41 + 0.007191464533*x42 + 0.03082781436*x43
        + 0.02572867302*x44 + 0.01615073165*x45 + 0.0520867862*x46
        + 0.003289074755*x47 + 0.04644568472*x48 + 0.07441361355*x49
        + 0.03200779649*x50 + 0.01508154419*x51 - x182 =E= 0;

e134..    0.3793063836*x2 + 0.03748053639*x3 + 0.01701164915*x4
        + 0.06979035406*x5 + 0.003480456653*x6 + 0.03193450669*x7
        - 0.004210025808*x8 + 0.04563326552*x9 + 0.03377478197*x10
        + 0.03031807479*x11 + 0.05582667497*x12 + 0.05188852061*x13
        + 0.06914937761*x14 + 0.04398282664*x15 + 0.02813315022*x16
        + 0.05845433407*x17 + 0.05767248944*x18 + 0.02077999235*x19
        + 0.01616919273*x20 + 0.0320786849*x21 - 0.008119064065*x22
        + 0.07111673537*x23 + 0.03179884261*x24 + 0.06063493747*x25
        + 0.03700080637*x26 + 0.04206502322*x27 + 0.04171582658*x28
        + 0.016719814*x29 + 0.8440301235*x30 + 0.02495835352*x31
        - 0.001295030534*x32 + 0.0139682145*x33 + 0.03854160146*x34
        + 0.00330515822*x35 + 0.03472718758*x36 - 0.03743868357*x37
        + 0.01573479048*x38 + 0.04038346858*x39 - 0.006477818308*x40
        + 0.008384596401*x41 + 0.02708479646*x42 + 0.04774230444*x43
        + 0.01734490428*x44 + 0.06306435508*x45 + 0.01176766336*x46
        + 0.05719442287*x47 + 0.01719795629*x48 + 0.03205750814*x49
        + 0.03572651631*x50 + 0.02903956663*x51 - x183 =E= 0;

e135..    0.04294396078*x2 + 0.0158716333*x3 + 0.01678942856*x4
        + 0.04515698542*x5 + 0.002796906957*x6 + 0.01889131924*x7
        + 0.01056831005*x8 + 0.03948294745*x9 + 0.03907953082*x10
        + 0.02216046908*x11 + 0.03027442477*x12 + 0.004744413804*x13
        + 0.02046947137*x14 + 0.03491436492*x15 + 0.01016570219*x16
        + 0.0301326312*x17 + 0.07733301709*x18 + 0.03540689647*x19
        + 0.01295693026*x20 + 7.502591501E-7*x21 + 0.01663383701*x22
        + 0.052444994*x23 + 0.0370721562*x24 + 0.01682812193*x25
        + 0.007360880019*x26 + 0.03293552939*x27 + 0.002819288182*x28
        + 0.0431208047*x29 + 0.02495835352*x30 + 0.4353356761*x31
        - 0.0003004783266*x32 + 0.0191836121*x33 + 0.0547899576*x34
        + 0.02205833325*x35 + 0.02027999643*x36 + 0.02388007989*x37
        + 0.02105589168*x38 + 0.03144980675*x39 + 0.04513104336*x40
        + 0.03633890795*x41 + 0.03984012616*x42 + 0.02246681173*x43
        + 0.009798236447*x44 + 0.03675692159*x45 + 0.07904991522*x46
        + 0.02678598134*x47 + 0.02609831974*x48 + 0.05897813488*x49
        + 0.06035851747*x50 + 0.0148138301*x51 - x184 =E= 0;

e136..    0.01907287032*x2 + 0.02744284944*x3 + 0.01313886098*x4
        + 0.05817512376*x5 + 0.03072130652*x6 + 0.04365636534*x7
        + 0.02964852419*x8 + 0.01022990709*x9 + 0.03255376578*x10
        + 0.03443761213*x11 + 0.06580218152*x12 + 0.02017629539*x13
        - 0.02726147158*x14 + 0.02943346108*x15 + 0.006928265426*x16
        + 0.01114345979*x17 + 0.03843857915*x18 + 0.03957519401*x19
        + 0.02370334238*x20 - 0.0005840778175*x21 + 0.06231993736*x22
        + 0.01882311007*x23 + 0.05173840148*x24 - 0.01824333914*x25
        + 0.01837898101*x26 + 0.04509150864*x27 + 0.01625884912*x28
        - 0.001023300748*x29 - 0.001295030534*x30 - 0.0003004783266*x31
        + 0.7595760796*x32 - 0.01084169365*x33 + 0.03142843993*x34
        + 0.04027392945*x35 + 0.04275305332*x36 + 0.007784091094*x37
        + 0.0183013279*x38 + 0.03517783477*x39 + 0.0275729853*x40
        + 0.01853256558*x41 + 0.03104479572*x42 + 0.02469926919*x43
        + 0.04590474754*x44 + 0.08663119741*x45 + 0.08814645862*x46
        + 0.01620260679*x47 + 0.03041982495*x48 + 0.05267307383*x49
        + 0.00504683805*x50 + 0.0248145911*x51 - x185 =E= 0;

e137..  - 0.03266152329*x2 + 0.02129515347*x3 + 0.0232080864*x4
        + 0.001854840384*x5 + 0.02106996833*x6 + 0.02581556686*x7
        + 0.02615413377*x8 + 0.02435574929*x9 + 0.0228297765*x10
        + 0.02707892353*x11 + 0.03113466564*x12 + 0.01105578893*x13
        + 0.03233360666*x14 + 0.01827129088*x15 + 0.0204428449*x16
        + 0.01065693602*x17 + 0.02773957662*x18 + 0.04711924553*x19
        + 0.0312365508*x20 + 0.08644372974*x21 - 0.009622099553*x22
        + 0.001983029689*x23 + 0.04163243841*x24 + 0.02223711615*x25
        + 0.01221973411*x26 - 0.006684091018*x27 + 0.04263806432*x28
        + 0.03566420318*x29 + 0.0139682145*x30 + 0.0191836121*x31
        - 0.01084169365*x32 + 0.6890581712*x33 + 0.01600388971*x34
        + 0.02300552883*x35 + 0.03693223711*x36 + 0.02828213198*x37
        + 0.03786004231*x38 + 0.03457601639*x39 + 0.001762796714*x40
        + 0.06577713405*x41 + 0.02650283868*x42 + 0.03210548095*x43
        + 0.01773036228*x44 + 0.007530767498*x45 + 0.04269149153*x46
        + 0.0108328239*x47 + 0.02559598719*x48 + 0.03253617089*x49
        + 0.01379650845*x50 + 0.03231301389*x51 - x186 =E= 0;

e138..    0.0176316905*x2 + 0.03305678562*x3 + 0.03962345992*x4
        + 0.06139439908*x5 + 0.05535850431*x6 + 0.0450527296*x7
        + 0.04486666623*x8 + 0.001558261404*x9 + 0.07691175396*x10
        + 0.0519951355*x11 + 0.02441934249*x12 + 0.1150067407*x13
        + 0.03634173175*x14 + 0.06149087362*x15 + 0.03196414282*x16
        - 0.002835796872*x17 + 0.07065239508*x18 + 0.04730933771*x19
        + 0.04065574447*x20 + 0.02767160964*x21 - 0.0007353288939*x22
        + 0.06325656821*x23 - 0.0008590718538*x24 - 0.01458005218*x25
        + 0.04281374946*x26 + 0.05179081507*x27 + 0.01311877657*x28
        + 0.04399483383*x29 + 0.03854160146*x30 + 0.0547899576*x31
        + 0.03142843993*x32 + 0.01600388971*x33 + 0.5786393806*x34
        + 0.03753604781*x35 + 0.05754293636*x36 + 0.0363287916*x37
        + 0.04053324291*x38 + 0.05418653018*x39 + 0.04604415831*x40
        + 0.01629900959*x41 + 0.01237551498*x42 + 0.05966003723*x43
        + 0.04458823462*x44 + 0.03500837*x45 + 0.07577860758*x46
        + 0.02023783633*x47 + 0.02236884608*x48 + 0.007011845962*x49
        + 0.01473654272*x50 + 0.03518728171*x51 - x187 =E= 0;

e139..    0.03168533682*x2 + 0.0173264406*x3 + 0.02495009775*x4
        + 0.04637572517*x5 + 0.04081689389*x6 + 0.03026734523*x7
        + 0.03898125103*x8 + 0.03669504132*x9 + 0.0223376309*x10
        + 0.01350300561*x11 + 0.036508334*x12 + 0.08567266196*x13
        + 0.0247001873*x14 + 0.03004589197*x15 + 0.02261533506*x16
        - 0.004791401136*x17 + 0.06903355721*x18 + 0.02978729381*x19
        + 0.06422456745*x20 + 0.02708204845*x21 + 0.03888091913*x22
        + 0.08455182434*x23 + 0.05622412649*x24 + 0.03881416397*x25
        + 0.01468970391*x26 + 0.03500152081*x27 + 0.02236682564*x28
        + 0.04758257991*x29 + 0.00330515822*x30 + 0.02205833325*x31
        + 0.04027392945*x32 + 0.02300552883*x33 + 0.03753604781*x34
        + 0.6556329652*x35 + 0.02855697614*x36 - 0.001408835609*x37
        + 0.04958555553*x38 + 0.05304899299*x39 + 0.03655105879*x40
        + 0.001818832703*x41 + 0.01780899958*x42 + 0.07284333602*x43
        + 0.0524509776*x44 + 0.04636167314*x45 + 0.02835019706*x46
        + 0.05594611003*x47 + 0.04105455705*x48 + 0.05085305805*x49
        + 0.02236588808*x50 + 0.04027672599*x51 - x188 =E= 0;

e140..    0.02093542926*x2 - 0.01725228206*x3 + 0.03964954583*x4
        + 0.04185490912*x5 + 0.02568654223*x6 + 0.04162507894*x7
        + 0.02539944411*x8 + 0.04420390033*x9 + 0.05919540117*x10
        + 0.04962136312*x11 + 0.04443956643*x12 + 0.02494431982*x13
        + 0.07637013277*x14 + 0.02977200919*x15 + 0.00601927875*x16
        + 0.008290768822*x17 + 0.04441937331*x18 + 0.0183394719*x19
        + 0.01440185133*x20 + 0.0007607082298*x21 - 0.01103673554*x22
        + 0.06000944187*x23 + 0.03153222769*x24 + 0.01161064463*x25
        + 0.03844221888*x26 + 0.03365409914*x27 + 0.01151897616*x28
        + 0.0118954649*x29 + 0.03472718758*x30 + 0.02027999643*x31
        + 0.04275305332*x32 + 0.03693223711*x33 + 0.05754293636*x34
        + 0.02855697614*x35 + 0.6915577969*x36 + 0.02433665814*x37
        + 0.02403058714*x38 + 0.04554845001*x39 + 0.1463428261*x40
        + 0.03699196838*x41 + 0.03759892806*x42 + 0.07590545553*x43
        + 0.02213702361*x44 + 0.08493779524*x45 + 0.06679911154*x46
        + 0.008860408453*x47 + 0.1065625895*x48 + 0.04707170505*x49
        + 0.0320512017*x50 + 0.05186756703*x51 - x189 =E= 0;

e141..    0.04054154053*x2 + 0.02921298621*x3 + 0.005788853104*x4
        - 0.003739429356*x5 + 0.02188253834*x6 + 0.01361807803*x7
        + 0.02959524563*x8 + 0.006126895801*x9 + 0.04943832046*x10
        + 0.01251327589*x11 + 0.01078433387*x12 + 0.02293300764*x13
        - 0.008827701161*x14 + 0.002722733793*x15 + 0.002042709446*x16
        + 0.03703193386*x17 + 0.008665032083*x18 + 0.08137160601*x19
        + 0.01761359469*x20 + 0.03530310029*x21 + 0.01132499773*x22
        + 0.0888464113*x23 + 0.04182769668*x24 + 0.03149540976*x25
        + 0.007640493706*x26 + 0.03562014408*x27 + 0.01957240907*x28
        + 0.0803936288*x29 - 0.03743868357*x30 + 0.02388007989*x31
        + 0.007784091094*x32 + 0.02828213198*x33 + 0.0363287916*x34
        - 0.001408835609*x35 + 0.02433665814*x36 + 0.7964329853*x37
        + 0.02600884895*x38 + 0.02576089938*x39 + 0.03493682854*x40
        + 0.008107057201*x41 + 0.02449631767*x42 - 0.000941309775*x43
        - 0.0003729182592*x44 + 0.01730876532*x45 + 0.04757473101*x46
        + 0.03604161153*x47 + 0.05610154065*x48 + 0.02967356195*x49
        + 0.005301601789*x50 + 0.009498080431*x51 - x190 =E= 0;

e142..    0.03976689525*x2 + 0.07097639297*x3 + 0.03295367779*x4
        + 0.02159280613*x5 + 0.08031078555*x6 + 0.02739347116*x7
        + 0.07696689*x8 + 0.0347397003*x9 + 0.04124580703*x10
        + 0.05104901707*x11 + 0.03369507111*x12 + 0.02971762118*x13
        + 0.04147797444*x14 + 0.03537629877*x15 + 0.04598424478*x16
        - 0.01737617264*x17 + 0.03776412277*x18 + 0.05160417869*x19
        + 0.08813629376*x20 + 0.02817372108*x21 + 0.0207138892*x22
        + 0.05270639299*x23 + 0.08712089716*x24 + 0.0167691008*x25
        + 0.03730006491*x26 + 0.02642345973*x27 + 0.01767622625*x28
        + 0.04086797444*x29 + 0.01573479048*x30 + 0.02105589168*x31
        + 0.0183013279*x32 + 0.03786004231*x33 + 0.04053324291*x34
        + 0.04958555553*x35 + 0.02403058714*x36 + 0.02600884895*x37
        + 0.3849156577*x38 + 0.07882336278*x39 + 0.05814454034*x40
        + 0.02620093577*x41 + 0.007465349381*x42 + 0.02992895907*x43
        + 0.06229670601*x44 + 0.003540816664*x45 + 0.02824408504*x46
        + 0.03200719936*x47 - 0.001987833218*x48 + 0.01927271992*x49
        + 0.003683984995*x50 + 0.01615594023*x51 - x191 =E= 0;

e143..    0.08177354122*x2 + 0.06676744189*x3 + 0.01640811704*x4
        + 0.08468380815*x5 + 0.1021212955*x6 + 0.008452737226*x7
        + 0.0753267896*x8 + 0.04562610087*x9 + 0.05685515252*x10
        + 0.06497885876*x11 + 0.08487970037*x12 + 0.04274281306*x13
        + 0.03090099021*x14 + 0.0389349655*x15 + 0.06953522281*x16
        - 0.01213644141*x17 + 0.01116596852*x18 + 0.04847432421*x19
        + 0.07015333301*x20 + 0.03433948491*x21 + 0.008841398816*x22
        + 0.05033694066*x23 + 0.1116957979*x24 + 0.03105043411*x25
        + 0.06107992718*x26 + 0.0410211917*x27 + 0.01467627275*x28
        + 0.01531618897*x29 + 0.04038346858*x30 + 0.03144980675*x31
        + 0.03517783477*x32 + 0.03457601639*x33 + 0.05418653018*x34
        + 0.05304899299*x35 + 0.04554845001*x36 + 0.02576089938*x37
        + 0.07882336278*x38 + 0.520138939*x39 + 0.03820253714*x40
        + 0.0344935582*x41 + 0.01741826117*x42 + 0.05185648159*x43
        + 0.04351731302*x44 + 0.08272566024*x45 + 0.06051586075*x46
        + 0.04698243517*x47 + 0.06426732972*x48 + 0.05509462702*x49
        + 0.03751653312*x50 + 0.01435151561*x51 - x192 =E= 0;

e144..    0.01924012927*x2 + 0.007123673991*x3 + 0.01288786408*x4
        + 0.0006932057428*x5 + 0.05200621121*x6 + 0.009606049845*x7
        + 0.02820537612*x8 - 0.001721255033*x9 + 0.01548672634*x10
        + 0.03371385151*x11 + 0.03353742525*x12 + 0.04831216989*x13
        + 0.0217401479*x14 + 0.03076193545*x15 + 0.007331408388*x16
        + 0.01382897665*x17 + 0.02729916587*x18 + 0.03528180151*x19
        + 0.0335488898*x20 + 0.006123883966*x21 - 0.03069168782*x22
        + 0.06412701254*x23 + 0.03496874692*x24 - 0.007099246208*x25
        + 0.04324472166*x26 + 0.02101504514*x27 + 0.01782452056*x28
        + 0.04690802079*x29 - 0.006477818308*x30 + 0.04513104336*x31
        + 0.0275729853*x32 + 0.001762796714*x33 + 0.04604415831*x34
        + 0.03655105879*x35 + 0.1463428261*x36 + 0.03493682854*x37
        + 0.05814454034*x38 + 0.03820253714*x39 + 0.3495827696*x40
        + 0.02711729833*x41 + 0.005158133878*x42 + 0.03842982446*x43
        + 0.02275388318*x44 + 0.009499252032*x45 + 0.02974106575*x46
        + 0.03105715878*x47 + 0.1057994294*x48 + 0.04850382367*x49
        + 0.03309884645*x50 + 0.04296525132*x51 - x193 =E= 0;

e145..    0.01608378745*x2 - 0.003807676227*x3 + 0.02576032601*x4
        + 0.07294113408*x5 + 0.01408162447*x6 + 0.07008102448*x7
        + 0.02210724272*x8 + 0.02552230725*x9 + 0.02688935553*x10
        + 0.00908694803*x11 + 0.009685830373*x12 + 0.02991199575*x13
        + 0.0184089343*x14 + 0.03238818963*x15 + 0.01457707533*x16
        + 0.01844771725*x17 + 0.0299107276*x18 + 0.03585709902*x19
        + 0.01625488701*x20 + 0.02218293661*x21 - 0.01024048792*x22
        + 0.04120949056*x23 + 0.06139005414*x24 - 0.001135624397*x25
        + 0.03485804184*x26 - 0.01125316731*x27 + 0.03732799809*x28
        + 0.003965510432*x29 + 0.008384596401*x30 + 0.03633890795*x31
        + 0.01853256558*x32 + 0.06577713405*x33 + 0.01629900959*x34
        + 0.001818832703*x35 + 0.03699196838*x36 + 0.008107057201*x37
        + 0.02620093577*x38 + 0.0344935582*x39 + 0.02711729833*x40
        + 0.8619591185*x41 - 0.003634245513*x42 + 0.03827612797*x43
        + 0.06452669101*x44 - 0.008643213067*x45 + 0.02738846579*x46
        + 0.04649098958*x47 + 0.0588106712*x48 + 0.02318856367*x49
        + 0.03068426852*x50 + 0.008255230072*x51 - x194 =E= 0;

e146..    0.03739620511*x2 - 0.003599988083*x3 + 0.02812261922*x4
        + 0.0795793942*x5 + 0.02611907799*x6 + 0.04156482215*x7
        + 0.01815865829*x8 + 0.01237547779*x9 + 0.0226165884*x10
        + 0.02814697887*x11 + 0.004708810146*x12 + 0.02958342742*x13
        + 0.02443015527*x14 + 0.0209848186*x15 + 0.007720124862*x16
        + 0.03177208185*x17 + 0.0543765248*x18 + 0.1007893626*x19
        + 0.01228872513*x20 + 0.04464319915*x21 - 0.01651244279*x22
        + 0.0007198047197*x23 + 0.02912556996*x24 + 0.1960576259*x25
        + 0.01339120685*x26 + 0.04346822712*x27 - 0.01115332516*x28
        + 0.007191464533*x29 + 0.02708479646*x30 + 0.03984012616*x31
        + 0.03104479572*x32 + 0.02650283868*x33 + 0.01237551498*x34
        + 0.01780899958*x35 + 0.03759892806*x36 + 0.02449631767*x37
        + 0.007465349381*x38 + 0.01741826117*x39 + 0.005158133878*x40
        - 0.003634245513*x41 + 0.4105223007*x42 + 0.04747480788*x43
        + 0.02077121752*x44 + 0.05894534074*x45 + 0.06468177125*x46
        - 0.00861224486*x47 + 0.04830862121*x48 + 0.05081789488*x49
        + 0.04080650005*x50 + 0.01286339007*x51 - x195 =E= 0;

e147..    0.03331578217*x2 + 0.01686955026*x3 + 0.02104965187*x4
        + 0.0335527615*x5 + 0.0369207138*x6 + 0.0107349101*x7 + 0.0299923754*x8
        + 0.05133150156*x9 + 0.04416391354*x10 + 0.04323469381*x11
        + 0.06324242049*x12 + 0.03036962249*x13 + 0.0372649978*x14
        + 0.02637593171*x15 + 0.02229613813*x16 + 0.0364486981*x17
        + 0.05657489072*x18 + 0.08016320601*x19 + 0.01360891483*x20
        + 0.02048856716*x21 + 0.001953607362*x22 + 0.06903291273*x23
        + 0.03289036242*x24 - 0.01212486003*x25 + 0.03853347621*x26
        + 0.03913391451*x27 + 0.01548658553*x28 + 0.03082781436*x29
        + 0.04774230444*x30 + 0.02246681173*x31 + 0.02469926919*x32
        + 0.03210548095*x33 + 0.05966003723*x34 + 0.07284333602*x35
        + 0.07590545553*x36 - 0.000941309775*x37 + 0.02992895907*x38
        + 0.05185648159*x39 + 0.03842982446*x40 + 0.03827612797*x41
        + 0.04747480788*x42 + 0.3956007297*x43 + 0.01352579245*x44
        + 0.05938816274*x45 + 0.06487325802*x46 + 0.009556957886*x47
        + 0.07235878562*x48 + 0.04557008598*x49 + 0.04044313018*x50
        + 0.05377779378*x51 - x196 =E= 0;

e148..    0.00821968381*x2 - 0.01870770097*x3 + 0.04298055614*x4
        + 0.03999788731*x5 + 0.03282789612*x6 + 0.02747631163*x7
        + 0.02437983964*x8 + 0.03078117526*x9 + 0.04030779875*x10
        + 0.02188966546*x11 + 0.01948548718*x12 + 0.04314817092*x13
        + 0.05220941418*x14 + 0.01227556307*x15 + 0.036046671*x16
        + 0.01161458297*x17 + 0.07595440554*x18 + 0.1157807736*x19
        + 0.02428083683*x20 + 0.01918926555*x21 + 0.02877235806*x22
        + 0.07256744901*x23 + 0.03312519754*x24 - 0.01730553984*x25
        + 0.03993624772*x26 + 0.02814295939*x27 + 0.009977604171*x28
        + 0.02572867302*x29 + 0.01734490428*x30 + 0.009798236447*x31
        + 0.04590474754*x32 + 0.01773036228*x33 + 0.04458823462*x34
        + 0.0524509776*x35 + 0.02213702361*x36 - 0.0003729182592*x37
        + 0.06229670601*x38 + 0.04351731302*x39 + 0.02275388318*x40
        + 0.06452669101*x41 + 0.02077121752*x42 + 0.01352579245*x43
        + 0.9162663719*x44 + 0.08026707799*x45 + 0.02545001692*x46
        + 0.02558291205*x47 + 0.01258512875*x48 + 0.01971586528*x49
        + 0.02588079448*x50 + 0.008213093679*x51 - x197 =E= 0;

e149..  - 0.003137166487*x2 + 0.07142332854*x3 + 0.02505563776*x4
        + 0.08441125605*x5 + 0.005861818411*x6 + 0.0649280845*x7
        - 0.005330030182*x8 + 0.1026943853*x9 + 0.1037281873*x10
        + 0.03647828783*x11 + 0.08993124489*x12 + 0.0564559971*x13
        - 0.001133363004*x14 + 0.04670361835*x15 - 0.007610858354*x16
        + 0.1717407143*x17 + 0.06628713066*x18 + 0.0777719156*x19
        - 0.02923717599*x20 + 0.02329753979*x21 + 0.08236469953*x22
        + 0.02126543195*x23 + 0.01574985455*x24 + 0.05984066229*x25
        + 0.01488830171*x26 + 0.06407590381*x27 - 0.00464579129*x28
        + 0.01615073165*x29 + 0.06306435508*x30 + 0.03675692159*x31
        + 0.08663119741*x32 + 0.007530767498*x33 + 0.03500837*x34
        + 0.04636167314*x35 + 0.08493779524*x36 + 0.01730876532*x37
        + 0.003540816664*x38 + 0.08272566024*x39 + 0.009499252032*x40
        - 0.008643213067*x41 + 0.05894534074*x42 + 0.05938816274*x43
        + 0.08026707799*x44 + 2.325810667*x45 + 0.1646930331*x46
        + 0.01307529691*x47 + 0.173726481*x48 + 0.05185951619*x49
        + 0.02018810817*x50 + 2.430966131E-5*x51 - x198 =E= 0;

e150..    0.04559404647*x2 + 0.03888068051*x3 + 0.02020103946*x4
        + 0.0602496415*x5 + 0.02754539936*x6 + 0.07227420057*x7
        + 0.02222474834*x8 + 0.05977521089*x9 + 0.06495437088*x10
        + 0.03994125352*x11 + 0.02671979506*x12 + 0.06689945297*x13
        + 0.04676849522*x14 + 0.01365206075*x15 + 0.00925709417*x16
        - 0.01137845882*x17 + 0.1058835112*x18 + 0.1294385301*x19
        + 0.04332406643*x20 - 0.01115643357*x21 - 0.007650505724*x22
        + 0.09906153393*x23 + 0.04891716612*x24 - 0.003466092039*x25
        + 0.03391813869*x26 + 0.04316651759*x27 + 0.01011690554*x28
        + 0.0520867862*x29 + 0.01176766336*x30 + 0.07904991522*x31
        + 0.08814645862*x32 + 0.04269149153*x33 + 0.07577860758*x34
        + 0.02835019706*x35 + 0.06679911154*x36 + 0.04757473101*x37
        + 0.02824408504*x38 + 0.06051586075*x39 + 0.02974106575*x40
        + 0.02738846579*x41 + 0.06468177125*x42 + 0.06487325802*x43
        + 0.02545001692*x44 + 0.1646930331*x45 + 0.9971540347*x46
        + 0.01895676607*x47 + 0.1057537742*x48 + 0.1143289609*x49
        - 0.004945850023*x50 + 0.02258671327*x51 - x199 =E= 0;

e151..    0.01588163988*x2 + 0.02141369813*x3 + 0.005851124166*x4
        + 0.02377892677*x5 + 0.03644428336*x6 + 0.01687198112*x7
        + 0.04164065165*x8 + 0.04407256011*x9 + 0.03480700443*x10
        + 0.03872495476*x11 + 0.04559326496*x12 + 0.03102920746*x13
        + 0.02887868354*x14 + 0.02760047167*x15 + 0.01990407928*x16
        + 0.02876459205*x17 + 0.1055189693*x18 + 0.05113518046*x19
        + 0.007539311224*x20 - 0.002124397596*x21 + 0.05122730049*x22
        + 0.04426372981*x23 + 0.01798604607*x24 - 0.0122738112*x25
        + 0.001471626027*x26 + 0.004336193749*x27 + 0.03336076734*x28
        + 0.003289074755*x29 + 0.05719442287*x30 + 0.02678598134*x31
        + 0.01620260679*x32 + 0.0108328239*x33 + 0.02023783633*x34
        + 0.05594611003*x35 + 0.008860408453*x36 + 0.03604161153*x37
        + 0.03200719936*x38 + 0.04698243517*x39 + 0.03105715878*x40
        + 0.04649098958*x41 - 0.00861224486*x42 + 0.009556957886*x43
        + 0.02558291205*x44 + 0.01307529691*x45 + 0.01895676607*x46
        + 0.7285047414*x47 - 0.005548611062*x48 + 0.01412404823*x49
        - 0.0211253218*x50 + 0.0192394102*x51 - x200 =E= 0;

e152..    0.01993394873*x2 + 0.00242348503*x3 - 0.0004155694004*x4
        + 0.1099390543*x5 + 0.004406628368*x6 + 0.01412847871*x7
        + 0.02093161199*x8 + 0.01646075869*x9 + 0.06782782198*x10
        + 0.05327632407*x11 + 0.07787363173*x12 + 0.01227452426*x13
        + 0.01810924159*x14 + 0.03237128741*x15 + 0.0001262867129*x16
        + 0.03319707252*x17 + 0.02072620359*x18 + 0.07952703339*x19
        + 0.003709195691*x20 + 0.01875416178*x21 - 0.01094358518*x22
        + 0.009730220006*x23 + 0.01521693191*x24 + 0.07778843732*x25
        + 0.03054603986*x26 + 0.03647698981*x27 + 0.01865559257*x28
        + 0.04644568472*x29 + 0.01719795629*x30 + 0.02609831974*x31
        + 0.03041982495*x32 + 0.02559598719*x33 + 0.02236884608*x34
        + 0.04105455705*x35 + 0.1065625895*x36 + 0.05610154065*x37
        - 0.001987833218*x38 + 0.06426732972*x39 + 0.1057994294*x40
        + 0.0588106712*x41 + 0.04830862121*x42 + 0.07235878562*x43
        + 0.01258512875*x44 + 0.173726481*x45 + 0.1057537742*x46
        - 0.005548611062*x47 + 0.6485656785*x48 + 0.06553109348*x49
        + 0.0411621555*x50 - 0.009423827177*x51 - x201 =E= 0;

e153..    0.02406888561*x2 + 0.0252419375*x3 + 0.02095018075*x4
        + 0.05609400577*x5 + 0.02600702122*x6 + 0.004501167249*x7
        + 0.01434202324*x8 + 0.05147953432*x9 + 0.06756564017*x10
        + 0.02496916381*x11 + 0.0356439369*x12 + 0.0399214084*x13
        + 0.01292929829*x14 + 0.02021027172*x15 - 0.001706729561*x16
        + 0.02228180954*x17 + 0.07289112524*x18 + 0.05252506626*x19
        + 0.00880365246*x20 + 0.01934508465*x21 - 0.04633799164*x22
        + 0.06297917674*x23 + 0.01743340939*x24 - 0.003270760395*x25
        + 0.08078811066*x26 + 0.01284469851*x27 + 0.02515719471*x28
        + 0.07441361355*x29 + 0.03205750814*x30 + 0.05897813488*x31
        + 0.05267307383*x32 + 0.03253617089*x33 + 0.007011845962*x34
        + 0.05085305805*x35 + 0.04707170505*x36 + 0.02967356195*x37
        + 0.01927271992*x38 + 0.05509462702*x39 + 0.04850382367*x40
        + 0.02318856367*x41 + 0.05081789488*x42 + 0.04557008598*x43
        + 0.01971586528*x44 + 0.05185951619*x45 + 0.1143289609*x46
        + 0.01412404823*x47 + 0.06553109348*x48 + 0.5208653151*x49
        + 0.04158940315*x50 + 0.04662943301*x51 - x202 =E= 0;

e154..    0.02029233384*x2 + 0.02124942591*x3 + 0.02742749282*x4
        + 0.003128078478*x5 + 0.03179311175*x6 + 0.01984144143*x7
        + 0.02085827851*x8 + 0.02243370259*x9 + 0.02147536343*x10
        + 0.04621166482*x11 + 0.01765971764*x12 + 0.01309720332*x13
        + 0.005666985333*x14 + 0.02417958519*x15 + 0.01833134194*x16
        + 0.01502128689*x17 + 0.0200341814*x18 + 0.04876184543*x19
        + 0.009546594496*x20 + 0.04586183961*x21 + 0.001533937315*x22
        + 0.05976666519*x23 + 0.03565158196*x24 - 0.03324604935*x25
        + 0.01346717098*x26 + 0.01977413585*x27 + 0.03183064409*x28
        + 0.03200779649*x29 + 0.03572651631*x30 + 0.06035851747*x31
        + 0.00504683805*x32 + 0.01379650845*x33 + 0.01473654272*x34
        + 0.02236588808*x35 + 0.0320512017*x36 + 0.005301601789*x37
        + 0.003683984995*x38 + 0.03751653312*x39 + 0.03309884645*x40
        + 0.03068426852*x41 + 0.04080650005*x42 + 0.04044313018*x43
        + 0.02588079448*x44 + 0.02018810817*x45 - 0.004945850023*x46
        - 0.0211253218*x47 + 0.0411621555*x48 + 0.04158940315*x49
        + 0.8699888194*x50 + 0.0008924257609*x51 - x203 =E= 0;

e155..    0.01804589321*x2 + 0.01137015002*x3 + 0.02687523032*x4
        + 0.05972866455*x5 + 0.03646045208*x6 + 0.01917474459*x7
        + 0.04061194222*x8 + 0.02458583205*x9 - 0.01165547841*x10
        + 0.005852834771*x11 + 0.03501132133*x12 + 0.04126140384*x13
        + 0.01983752982*x14 + 0.04095223405*x15 + 0.01701516613*x16
        + 0.01522482069*x17 + 0.03721977812*x18 + 0.02289241126*x19
        + 0.02192537497*x20 + 0.01733847065*x21 + 0.001289538324*x22
        + 0.04384762217*x23 + 0.01896015274*x24 + 0.05563056999*x25
        + 0.02144591361*x26 + 0.01513932864*x27 + 0.02339190814*x28
        + 0.01508154419*x29 + 0.02903956663*x30 + 0.0148138301*x31
        + 0.0248145911*x32 + 0.03231301389*x33 + 0.03518728171*x34
        + 0.04027672599*x35 + 0.05186756703*x36 + 0.009498080431*x37
        + 0.01615594023*x38 + 0.01435151561*x39 + 0.04296525132*x40
        + 0.008255230072*x41 + 0.01286339007*x42 + 0.05377779378*x43
        + 0.008213093679*x44 + 2.430966131E-5*x45 + 0.02258671327*x46
        + 0.0192394102*x47 - 0.009423827177*x48 + 0.04662943301*x49
        + 0.0008924257609*x50 + 0.4816980873*x51 - x204 =E= 0;

e156..    1.158041804*x2 + 1.039647139*x3 + 1.01510917*x4 + 1.069892701*x5
        + 1.025657065*x6 + 1.061002011*x7 + 1.026796544*x8 + 1.132143502*x9
        + 1.051244499*x10 + 1.037880812*x11 + 1.050100863*x12 + 1.03832451*x13
        + 1.048785993*x14 + 1.033320302*x15 + 1.01978133*x16 + 1.129241946*x17
        + 1.123248137*x18 + 1.188050707*x19 + 1.030883461*x20 + 1.025605688*x21
        + 1.099176571*x22 + 1.052694385*x23 + 1.028090346*x24 + 1.163811269*x25
        + 1.042606906*x26 + 1.039190169*x27 + 1.027838044*x28 + 1.011375218*x29
        + 1.079713039*x30 + 1.027371721*x31 + 1.059468724*x32 + 1.0499472*x33
        + 1.033011152*x34 + 1.045959409*x35 + 1.068256264*x36 + 1.053366288*x37
        + 1.030453648*x38 + 1.059449404*x39 + 1.026604255*x40 + 1.037443165*x41
        + 1.038082541*x42 + 1.033531967*x43 + 1.075422588*x44 + 1.371102807*x45
        + 1.10711627*x46 + 1.054086497*x47 + 1.080037871*x48 + 1.060403835*x49
        + 1.058237709*x50 + 1.026188162*x51 + x52 - x205 =E= 0.7;

e157.. sqr(x104) + sqr(x105) + sqr(x106) + sqr(x107) + sqr(x108) + sqr(x109) + 
       sqr(x110) + sqr(x111) + sqr(x112) + sqr(x113) + sqr(x114) + sqr(x115) + 
       sqr(x116) + sqr(x117) + sqr(x118) + sqr(x119) + sqr(x120) + sqr(x121) + 
       sqr(x122) + sqr(x123) + sqr(x124) + sqr(x125) + sqr(x126) + sqr(x127) + 
       sqr(x128) + sqr(x129) + sqr(x130) + sqr(x131) + sqr(x132) + sqr(x133) + 
       sqr(x134) + sqr(x135) + sqr(x136) + sqr(x137) + sqr(x138) + sqr(x139) + 
       sqr(x140) + sqr(x141) + sqr(x142) + sqr(x143) + sqr(x144) + sqr(x145) + 
       sqr(x146) + sqr(x147) + sqr(x148) + sqr(x149) + sqr(x150) + sqr(x151) + 
       sqr(x152) + sqr(x153) - sqr(x154) =L= 0;

e158.. sqr(x155) + sqr(x156) + sqr(x157) + sqr(x158) + sqr(x159) + sqr(x160) + 
       sqr(x161) + sqr(x162) + sqr(x163) + sqr(x164) + sqr(x165) + sqr(x166) + 
       sqr(x167) + sqr(x168) + sqr(x169) + sqr(x170) + sqr(x171) + sqr(x172) + 
       sqr(x173) + sqr(x174) + sqr(x175) + sqr(x176) + sqr(x177) + sqr(x178) + 
       sqr(x179) + sqr(x180) + sqr(x181) + sqr(x182) + sqr(x183) + sqr(x184) + 
       sqr(x185) + sqr(x186) + sqr(x187) + sqr(x188) + sqr(x189) + sqr(x190) + 
       sqr(x191) + sqr(x192) + sqr(x193) + sqr(x194) + sqr(x195) + sqr(x196) + 
       sqr(x197) + sqr(x198) + sqr(x199) + sqr(x200) + sqr(x201) + sqr(x202) + 
       sqr(x203) + sqr(x204) - sqr(x205) =L= 0;

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

Model m / all /;

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

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

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





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