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QPLIB_8153

Formats gms lp mod qplib
Problem type probtype LMQ
Solution point objective value solobjvalue -1.07635200 (gdx, sol)
Solution point infeasibility solinfeasibility 2.2204e-16
Donor donor JP Vielma
#Variables nvars 124
#Binary Variables nbinvars 31
#Integer Variables nintvars 0
#Bounded non-binary Variables nboundedvars 0
#Variables with only one bound nsingleboundedvars 2
#Nonlinear Variables nnlvars 62
#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 31
#Nonlinear Nonzeros in Objective nobjnlnz 0
#Quadratic Terms in Objective nobjquadnz 0
#Square Terms in Objective nobjquaddiagnz 0
#Constraints ncons 97
#Linear Constraints nlincons 95
#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 2110
#Nonlinear Nonzeros in Jacobian njacobiannlnz 62
#Nonzeros in (Upper-Left) Hessian of Lagrangian nlaghessiannz 62
#Nonzeros in Diagonal of Hessian of Lagrangian nlaghessiandiagnz 62
#Blocks in Hessian of Lagrangian nlaghessianblocks 62
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_8153.gms

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*         98       64        0       34        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        125       94       31        0        0        0        0        0
*  FX      0        0        0        0        0        0        0        0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       2142     2080       62        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,b33,b34,b35
          ,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51,b52
          ,b53,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,x64,x65,x66,x67,x68,x69
          ,x70,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86
          ,x87,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102
          ,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115
          ,x116,x117,x118,x119,x120,x121,x122,x123,x124,x125;

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,x94
          ,x125;

Binary Variables  b33,b34,b35,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47
          ,b48,b49,b50,b51,b52,b53,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63;

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;


e1..  - objvar - 1.013535003*x2 - 1.039557271*x3 - 1.038082541*x4
      - 1.0439477*x5 - 1.048265107*x6 - 1.035245825*x7 - 1.153319254*x8
      - 1.035501949*x9 - 1.020601258*x10 - 1.044248755*x11 - 1.033011152*x12
      - 1.099524285*x13 - 1.034111549*x14 - 1.03832451*x15 - 1.033534688*x16
      - 1.018453974*x17 - 1.039977489*x18 - 1.00873699*x19 - 1.05595492*x20
      - 1.079713039*x21 - 1.048785993*x22 - 1.02859956*x23 - 1.097014048*x24
      - 1.003999524*x25 - 1.024738044*x26 - 1.036349603*x27 - 1.112290578*x28
      - 1.026572705*x29 - 1.022348246*x30 - 1.028235364*x31 - x32 =E= 0;

e2..    x2 - b33 =L= 0;

e3..    x3 - b34 =L= 0;

e4..    x4 - b35 =L= 0;

e5..    x5 - b36 =L= 0;

e6..    x6 - b37 =L= 0;

e7..    x7 - b38 =L= 0;

e8..    x8 - b39 =L= 0;

e9..    x9 - b40 =L= 0;

e10..    x10 - b41 =L= 0;

e11..    x11 - b42 =L= 0;

e12..    x12 - b43 =L= 0;

e13..    x13 - b44 =L= 0;

e14..    x14 - b45 =L= 0;

e15..    x15 - b46 =L= 0;

e16..    x16 - b47 =L= 0;

e17..    x17 - b48 =L= 0;

e18..    x18 - b49 =L= 0;

e19..    x19 - b50 =L= 0;

e20..    x20 - b51 =L= 0;

e21..    x21 - b52 =L= 0;

e22..    x22 - b53 =L= 0;

e23..    x23 - b54 =L= 0;

e24..    x24 - b55 =L= 0;

e25..    x25 - b56 =L= 0;

e26..    x26 - b57 =L= 0;

e27..    x27 - b58 =L= 0;

e28..    x28 - b59 =L= 0;

e29..    x29 - b60 =L= 0;

e30..    x30 - b61 =L= 0;

e31..    x31 - b62 =L= 0;

e32..    x32 - b63 =L= 0;

e33..    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 =E= 1;

e34..    b33 + b34 + b35 + b36 + b37 + b38 + b39 + b40 + b41 + b42 + b43 + b44
       + b45 + b46 + b47 + b48 + b49 + b50 + b51 + b52 + b53 + b54 + b55 + b56
       + b57 + b58 + b59 + b60 + b61 + b62 + b63 =L= 10;

e35..    0.1649441186*x2 + 0.008320580511*x3 + 0.011432947*x4
       - 5.964150589E-5*x5 + 0.01439115715*x6 + 0.008730938554*x7
       + 0.02027698971*x8 + 0.02617224943*x9 + 0.01851613101*x10
       + 0.01461065337*x11 + 0.02748100166*x12 + 0.01560679232*x13
       + 0.01327308589*x14 + 0.03291355597*x15 + 0.01144104083*x16
       + 0.02109004204*x17 - 0.005761087659*x18 + 0.01075790344*x19
       + 0.03210037693*x20 + 0.0144780962*x21 + 0.01727768107*x22
       + 0.01643591424*x23 + 0.03395069419*x24 + 0.00759424113*x25
       + 0.01305387562*x26 + 0.01511562711*x27 + 0.02158202354*x28
       + 0.01642659114*x29 + 0.003252256697*x30 + 0.01806562172*x31 - x64 =E= 0
      ;

e36..    0.008320580511*x2 + 0.1524302762*x3 + 0.01586524698*x4
       + 0.01712458581*x5 + 0.009498954571*x6 + 0.01322142382*x7
       + 0.02522331805*x8 + 0.01047890205*x9 + 0.005987031908*x10
       + 0.007091467472*x11 + 0.007097857468*x12 - 0.001666214281*x13
       - 0.002397006438*x14 + 0.004410281222*x15 + 0.008974325859*x16
       + 0.004316533697*x17 + 0.008821415363*x18 + 0.01176230075*x19
       + 0.0209995294*x20 + 0.01200264202*x21 - 0.003254149217*x22
       + 0.00531833468*x23 + 0.01535804394*x24 + 0.01836221543*x25
       + 0.01148627705*x26 + 0.005152479761*x27 + 0.006924610956*x28
       + 0.01051979535*x29 + 0.002377685555*x30 + 0.01655151467*x31 - x65 =E= 0
      ;

e37..    0.011432947*x2 + 0.01586524698*x3 + 0.2163383693*x4
       + 0.009402315286*x5 + 0.01818413181*x6 + 0.004619354082*x7
       + 0.03045171483*x8 + 0.01600036516*x9 + 0.02085637987*x10
       + 0.004258010635*x11 + 0.008476830277*x12 + 0.01668544993*x13
       + 0.006924593702*x14 + 0.01127074385*x15 + 0.009409132195*x16
       - 0.006179330943*x17 + 0.001337806296*x18 + 0.009908624286*x19
       + 0.01686255678*x20 + 0.02253576502*x21 + 0.01294266566*x22
       + 0.0133039252*x23 + 0.03636297247*x24 + 0.0101693542*x25
       + 0.001735068663*x26 + 0.0006668412402*x27 + 0.01613854422*x28
       + 0.005608089014*x29 + 0.01341932895*x30 + 0.009226923959*x31 - x66
       =E= 0;

e38..  - 5.964150589E-5*x2 + 0.01712458581*x3 + 0.009402315286*x4
       + 0.1615577955*x5 + 0.008484434921*x6 + 0.009811229216*x7
       + 0.01246787684*x8 + 0.004678880594*x9 + 0.004064893934*x10
       - 0.001931321006*x11 + 0.01738671426*x12 - 0.002387318785*x13
       + 0.001447679473*x14 + 0.00552447256*x15 + 0.01928125229*x16
       + 0.00217386429*x17 + 0.007485392629*x18 + 0.0001925731469*x19
       + 0.01231289148*x20 + 0.02203581173*x21 + 0.001793338079*x22
       + 0.0008843022119*x23 + 0.01759296743*x24 + 0.01063919757*x25
       + 0.007408101559*x26 + 0.0107465986*x27 + 0.01487480101*x28
       + 0.006293640232*x29 + 0.004302145478*x30 + 0.004123715964*x31 - x67
       =E= 0;

e39..    0.01439115715*x2 + 0.009498954571*x3 + 0.01818413181*x4
       + 0.008484434921*x5 + 0.2588013562*x6 + 0.01577674284*x7
       + 0.01431233767*x8 + 0.01016051876*x9 + 0.02454986713*x10
       + 0.02233713283*x11 + 0.03428241883*x12 + 0.01207023159*x13
       + 0.003118196645*x14 + 0.04060360078*x15 + 0.02028985776*x16
       + 0.01287903887*x17 - 0.008011334596*x18 + 0.008906362945*x19
       + 0.03016922976*x20 + 0.02426945263*x21 + 0.004960253488*x22
       + 0.03724651366*x23 + 0.03154405658*x24 + 0.01390828983*x25
       + 0.007505015639*x26 + 0.006839281829*x27 + 0.02446934107*x28
       + 0.02179367127*x29 + 0.00389780752*x30 + 0.01215206723*x31 - x68 =E= 0;

e40..    0.008730938554*x2 + 0.01322142382*x3 + 0.004619354082*x4
       + 0.009811229216*x5 + 0.01577674284*x6 + 0.1827913989*x7
       + 0.035147953*x8 + 0.01780665607*x9 + 0.007922613134*x10
       + 0.0180481933*x11 + 0.02584048933*x12 + 0.006134967082*x13
       + 0.01255107447*x14 + 0.02173299842*x15 + 0.007680302354*x16
       + 0.01082692914*x17 - 0.0008105266771*x18 + 0.0001988024504*x19
       + 0.02655767345*x20 + 0.009852011731*x21 + 0.01606040295*x22
       + 0.01435997823*x23 + 0.03886395647*x24 + 0.01430594853*x25
       + 0.008732456362*x26 + 0.01510530935*x27 + 0.01352954418*x28
       + 0.01131454302*x29 + 0.01442936028*x30 + 0.01428389512*x31 - x69 =E= 0;

e41..    0.02027698971*x2 + 0.02522331805*x3 + 0.03045171483*x4
       + 0.01246787684*x5 + 0.01431233767*x6 + 0.035147953*x7 + 0.5261037115*x8
       + 0.005734001631*x9 + 0.01540788285*x10 + 0.0260420915*x11
       + 0.03821583888*x12 + 0.01381522228*x13 + 0.01429729143*x14
       + 0.03312123287*x15 + 0.009176987418*x16 + 0.01599003223*x17
       - 0.002770027896*x18 + 0.01022501264*x19 + 0.04716457844*x20
       + 0.0123388699*x21 + 0.03169772481*x22 + 0.03478910923*x23
       + 0.08823274073*x24 + 0.03532453911*x25 + 0.007271400132*x26
       + 0.0285556318*x27 + 0.01746784764*x28 + 0.02373401635*x29
       + 0.02120612855*x30 + 0.03030031018*x31 - x70 =E= 0;

e42..    0.02617224943*x2 + 0.01047890205*x3 + 0.01600036516*x4
       + 0.004678880594*x5 + 0.01016051876*x6 + 0.01780665607*x7
       + 0.005734001631*x8 + 0.2637509052*x9 + 0.0117540674*x10
       + 0.0208360789*x11 + 0.01833919712*x12 + 0.01318165197*x13
       + 0.01422673681*x14 + 0.02245717468*x15 - 4.67864603E-5*x16
       + 0.005096788548*x17 + 0.0008584018135*x18 + 0.01353457052*x19
       + 0.05329413531*x20 + 0.01686130291*x21 + 0.02066642745*x22
       + 0.00946532416*x23 + 0.03554271769*x24 + 0.0131973442*x25
       + 0.003902113766*x26 + 0.01937309209*x27 + 0.01583052538*x28
       + 0.01400010142*x29 + 0.009411488903*x30 + 0.01306897307*x31 - x71 =E= 0
      ;

e43..    0.01851613101*x2 + 0.005987031908*x3 + 0.02085637987*x4
       + 0.004064893934*x5 + 0.02454986713*x6 + 0.007922613134*x7
       + 0.01540788285*x8 + 0.0117540674*x9 + 0.1603894*x10 + 0.01244795132*x11
       + 0.01465448111*x12 + 0.01582141733*x13 + 0.004220207992*x14
       + 0.01736403666*x15 + 0.0218092885*x16 + 0.006146522941*x17
       - 0.002958634807*x18 + 0.01029702079*x19 + 0.03684918425*x20
       + 0.01811101201*x21 + 0.01096742238*x22 + 0.01282133352*x23
       + 0.02103204576*x24 + 0.01149072187*x25 + 0.001663117012*x26
       + 0.01465526517*x27 + 0.04382711136*x28 + 0.01705518898*x29
       + 0.01196483274*x30 + 0.01963414738*x31 - x72 =E= 0;

e44..    0.01461065337*x2 + 0.007091467472*x3 + 0.004258010635*x4
       - 0.001931321006*x5 + 0.02233713283*x6 + 0.0180481933*x7
       + 0.0260420915*x8 + 0.0208360789*x9 + 0.01244795132*x10
       + 0.2364828665*x11 + 0.013066135*x12 + 0.00170917107*x13
       + 0.01776337887*x14 + 0.008517297428*x15 + 0.001101778295*x16
       + 0.01611549122*x17 + 0.00523088739*x18 + 0.01409685427*x19
       + 0.02840053787*x20 + 0.009751674372*x21 + 0.01007535045*x22
       + 0.003565240888*x23 + 0.007066982657*x24 + 0.008630150781*x25
       - 0.0001629879426*x26 + 0.009074091342*x27 + 0.01667879701*x28
       + 0.01696572251*x29 + 0.01558774793*x30 + 0.01588361902*x31 - x73 =E= 0;

e45..    0.02748100166*x2 + 0.007097857468*x3 + 0.008476830277*x4
       + 0.01738671426*x5 + 0.03428241883*x6 + 0.02584048933*x7
       + 0.03821583888*x8 + 0.01833919712*x9 + 0.01465448111*x10
       + 0.013066135*x11 + 0.2642100996*x12 + 0.01640009802*x13
       + 0.003493626416*x14 + 0.05090105903*x15 + 0.01314601525*x16
       + 0.00510449749*x17 - 0.002682071344*x18 + 0.01722281032*x19
       + 0.03015120611*x20 + 0.01985907803*x21 + 0.01789220892*x22
       + 0.0201251585*x23 + 0.06522675557*x24 + 0.01399627522*x25
       + 0.009483363969*x26 + 0.01900429598*x27 + 0.01439367776*x28
       + 0.008482941713*x29 + 0.01767813058*x30 + 0.02250335083*x31 - x74 =E= 0
      ;

e46..    0.01560679232*x2 - 0.001666214281*x3 + 0.01668544993*x4
       - 0.002387318785*x5 + 0.01207023159*x6 + 0.006134967082*x7
       + 0.01381522228*x8 + 0.01318165197*x9 + 0.01582141733*x10
       + 0.00170917107*x11 + 0.01640009802*x12 + 0.37432218*x13
       + 0.003987224907*x14 + 0.01487881552*x15 + 0.00673374576*x16
       + 0.01156417888*x17 + 0.005140397245*x18 + 0.003612006939*x19
       + 0.02153500159*x20 + 0.01867205786*x21 + 0.006160971446*x22
       + 0.0006116210587*x23 + 0.06431348473*x24 + 0.004690736855*x25
       + 0.02323890676*x26 + 0.0154196652*x27 + 0.1025548583*x28
       + 0.01119636024*x29 + 0.004147592153*x30 - 0.0002386745597*x31 - x75
       =E= 0;

e47..    0.01327308589*x2 - 0.002397006438*x3 + 0.006924593702*x4
       + 0.001447679473*x5 + 0.003118196645*x6 + 0.01255107447*x7
       + 0.01429729143*x8 + 0.01422673681*x9 + 0.004220207992*x10
       + 0.01776337887*x11 + 0.003493626416*x12 + 0.003987224907*x13
       + 0.1941641763*x14 + 0.01128746952*x15 + 0.006619058833*x16
       + 0.002113163642*x17 - 0.007429747858*x18 + 0.004243775347*x19
       + 0.02610222998*x20 + 0.006221534424*x21 + 0.01424788032*x22
       - 0.005290663512*x23 + 0.0212529182*x24 + 0.01099157401*x25
       + 0.006823038501*x26 + 0.01503898132*x27 + 0.006029809517*x28
       + 0.005757907195*x29 + 0.0231730447*x30 + 0.01316954414*x31 - x76 =E= 0;

e48..    0.03291355597*x2 + 0.004410281222*x3 + 0.01127074385*x4
       + 0.00552447256*x5 + 0.04060360078*x6 + 0.02173299842*x7
       + 0.03312123287*x8 + 0.02245717468*x9 + 0.01736403666*x10
       + 0.008517297428*x11 + 0.05090105903*x12 + 0.01487881552*x13
       + 0.01128746952*x14 + 0.2724451351*x15 + 0.006480684895*x16
       + 0.0100829801*x17 + 0.03280417047*x18 + 0.005941084116*x19
       + 0.02394051667*x20 + 0.02600720247*x21 + 0.01620309515*x22
       + 0.04354563326*x23 + 0.05512116344*x24 + 0.006341984848*x25
       + 0.005151055365*x26 + 0.01161103704*x27 + 0.0230531493*x28
       + 0.01718332798*x29 + 0.02034647667*x30 + 0.01503109552*x31 - x77 =E= 0;

e49..    0.01144104083*x2 + 0.008974325859*x3 + 0.009409132195*x4
       + 0.01928125229*x5 + 0.02028985776*x6 + 0.007680302354*x7
       + 0.009176987418*x8 - 4.67864603E-5*x9 + 0.0218092885*x10
       + 0.001101778295*x11 + 0.01314601525*x12 + 0.00673374576*x13
       + 0.006619058833*x14 + 0.006480684895*x15 + 0.1983871488*x16
       + 0.004723348483*x17 + 0.04803000524*x18 + 0.01152149549*x19
       + 0.007995880288*x20 - 0.004057603085*x21 + 0.006319831824*x22
       + 0.00255696925*x23 + 0.0149100017*x24 + 0.0102007086*x25
       + 0.01684872692*x26 + 0.01871088985*x27 + 0.01297466799*x28
       + 0.006119398004*x29 + 0.01781084399*x30 + 0.01148253321*x31 - x78 =E= 0
      ;

e50..    0.02109004204*x2 + 0.004316533697*x3 - 0.006179330943*x4
       + 0.00217386429*x5 + 0.01287903887*x6 + 0.01082692914*x7
       + 0.01599003223*x8 + 0.005096788548*x9 + 0.006146522941*x10
       + 0.01611549122*x11 + 0.00510449749*x12 + 0.01156417888*x13
       + 0.002113163642*x14 + 0.0100829801*x15 + 0.004723348483*x16
       + 0.2118682681*x17 + 0.005377979941*x18 + 0.01029516708*x19
       + 0.01377735692*x20 + 0.02076723733*x21 - 0.001992606424*x22
       + 0.01646034852*x23 + 0.01980491493*x24 + 0.01045032305*x25
       - 0.001650428391*x26 + 0.006693369722*x27 + 0.009397706153*x28
       + 0.00203496184*x29 + 0.003456636343*x30 + 0.008673479249*x31 - x79
       =E= 0;

e51..  - 0.005761087659*x2 + 0.008821415363*x3 + 0.001337806296*x4
       + 0.007485392629*x5 - 0.008011334596*x6 - 0.0008105266771*x7
       - 0.002770027896*x8 + 0.0008584018135*x9 - 0.002958634807*x10
       + 0.00523088739*x11 - 0.002682071344*x12 + 0.005140397245*x13
       - 0.007429747858*x14 + 0.03280417047*x15 + 0.04803000524*x16
       + 0.005377979941*x17 + 0.3704745461*x18 + 4.590581007E-6*x19
       - 0.004301362707*x20 + 0.008095935935*x21 - 0.0004234832161*x22
       + 0.009869986786*x23 - 0.005999214206*x24 + 0.006735101732*x25
       + 0.0154052548*x26 + 0.01401029514*x27 - 0.006448254291*x28
       + 0.01292276966*x29 + 0.05501351625*x30 + 0.001855541538*x31 - x80 =E= 0
      ;

e52..    0.01075790344*x2 + 0.01176230075*x3 + 0.009908624286*x4
       + 0.0001925731469*x5 + 0.008906362945*x6 + 0.0001988024504*x7
       + 0.01022501264*x8 + 0.01353457052*x9 + 0.01029702079*x10
       + 0.01409685427*x11 + 0.01722281032*x12 + 0.003612006939*x13
       + 0.004243775347*x14 + 0.005941084116*x15 + 0.01152149549*x16
       + 0.01029516708*x17 + 4.590581007E-6*x18 + 0.09632086056*x19
       + 0.02167004063*x20 + 0.009419578744*x21 + 0.01532127629*x22
       + 0.002622792112*x23 + 0.01010231841*x24 + 0.01472523217*x25
       + 0.008437395193*x26 + 0.01944612366*x27 + 0.007618841808*x28
       + 0.0113998017*x29 + 0.01687943537*x30 + 0.01489967197*x31 - x81 =E= 0;

e53..    0.03210037693*x2 + 0.0209995294*x3 + 0.01686255678*x4
       + 0.01231289148*x5 + 0.03016922976*x6 + 0.02655767345*x7
       + 0.04716457844*x8 + 0.05329413531*x9 + 0.03684918425*x10
       + 0.02840053787*x11 + 0.03015120611*x12 + 0.02153500159*x13
       + 0.02610222998*x14 + 0.02394051667*x15 + 0.007995880288*x16
       + 0.01377735692*x17 - 0.004301362707*x18 + 0.02167004063*x19
       + 0.2270103143*x20 + 0.02497923579*x21 + 0.03638548094*x22
       + 0.01494710455*x23 + 0.03889618929*x24 + 0.01151871715*x25
       + 0.007870490167*x26 + 0.02186853226*x27 + 0.03369998813*x28
       + 0.01393881986*x29 + 0.02555480866*x30 + 0.02781062537*x31 - x82 =E= 0;

e54..    0.0144780962*x2 + 0.01200264202*x3 + 0.02253576502*x4
       + 0.02203581173*x5 + 0.02426945263*x6 + 0.009852011731*x7
       + 0.0123388699*x8 + 0.01686130291*x9 + 0.01811101201*x10
       + 0.009751674372*x11 + 0.01985907803*x12 + 0.01867205786*x13
       + 0.006221534424*x14 + 0.02600720247*x15 - 0.004057603085*x16
       + 0.02076723733*x17 + 0.008095935935*x18 + 0.009419578744*x19
       + 0.02497923579*x20 + 0.4198683445*x21 + 0.03826000718*x22
       + 0.009833390085*x23 + 0.02959881089*x24 + 0.01051802725*x25
       + 0.02034770324*x26 + 0.008930337215*x27 + 0.01546773538*x28
       + 0.001554553614*x29 + 0.01262403365*x30 + 0.008934617894*x31 - x83
       =E= 0;

e55..    0.01727768107*x2 - 0.003254149217*x3 + 0.01294266566*x4
       + 0.001793338079*x5 + 0.004960253488*x6 + 0.01606040295*x7
       + 0.03169772481*x8 + 0.02066642745*x9 + 0.01096742238*x10
       + 0.01007535045*x11 + 0.01789220892*x12 + 0.006160971446*x13
       + 0.01424788032*x14 + 0.01620309515*x15 + 0.006319831824*x16
       - 0.001992606424*x17 - 0.0004234832161*x18 + 0.01532127629*x19
       + 0.03638548094*x20 + 0.03826000718*x21 + 0.3831010209*x22
       + 0.01174819363*x23 + 0.02104838847*x24 + 0.01487228711*x25
       + 0.017036461*x26 + 0.01832365596*x27 + 0.01742470259*x28
       + 0.003334893371*x29 + 0.02008270467*x30 + 0.009707076982*x31 - x84
       =E= 0;

e56..    0.01643591424*x2 + 0.00531833468*x3 + 0.0133039252*x4
       + 0.0008843022119*x5 + 0.03724651366*x6 + 0.01435997823*x7
       + 0.03478910923*x8 + 0.00946532416*x9 + 0.01282133352*x10
       + 0.003565240888*x11 + 0.0201251585*x12 + 0.0006116210587*x13
       - 0.005290663512*x14 + 0.04354563326*x15 + 0.00255696925*x16
       + 0.01646034852*x17 + 0.009869986786*x18 + 0.002622792112*x19
       + 0.01494710455*x20 + 0.009833390085*x21 + 0.01174819363*x22
       + 0.2329310824*x23 + 0.042987118*x24 + 0.002421458358*x25
       + 0.008709499878*x26 + 0.02809484369*x27 - 0.002138823779*x28
       + 0.03748141611*x29 + 0.02285142383*x30 + 0.03140760208*x31 - x85 =E= 0;

e57..    0.03395069419*x2 + 0.01535804394*x3 + 0.03636297247*x4
       + 0.01759296743*x5 + 0.03154405658*x6 + 0.03886395647*x7
       + 0.08823274073*x8 + 0.03554271769*x9 + 0.02103204576*x10
       + 0.007066982657*x11 + 0.06522675557*x12 + 0.06431348473*x13
       + 0.0212529182*x14 + 0.05512116344*x15 + 0.0149100017*x16
       + 0.01980491493*x17 - 0.005999214206*x18 + 0.01010231841*x19
       + 0.03889618929*x20 + 0.02959881089*x21 + 0.02104838847*x22
       + 0.042987118*x23 + 0.4883902898*x24 + 0.0109679929*x25
       + 0.0140757926*x26 + 0.01494478642*x27 + 0.0712233218*x28
       + 0.01736858916*x29 + 0.04038805403*x30 + 0.04148728698*x31 - x86 =E= 0;

e58..    0.00759424113*x2 + 0.01836221543*x3 + 0.0101693542*x4
       + 0.01063919757*x5 + 0.01390828983*x6 + 0.01430594853*x7
       + 0.03532453911*x8 + 0.0131973442*x9 + 0.01149072187*x10
       + 0.008630150781*x11 + 0.01399627522*x12 + 0.004690736855*x13
       + 0.01099157401*x14 + 0.006341984848*x15 + 0.0102007086*x16
       + 0.01045032305*x17 + 0.006735101732*x18 + 0.01472523217*x19
       + 0.01151871715*x20 + 0.01051802725*x21 + 0.01487228711*x22
       + 0.002421458358*x23 + 0.0109679929*x24 + 0.1519542336*x25
       + 0.01439533956*x26 + 0.01446658106*x27 - 0.002514077819*x28
       + 0.0113119322*x29 + 0.01675203524*x30 + 0.01793825619*x31 - x87 =E= 0;

e59..    0.01305387562*x2 + 0.01148627705*x3 + 0.001735068663*x4
       + 0.007408101559*x5 + 0.007505015639*x6 + 0.008732456362*x7
       + 0.007271400132*x8 + 0.003902113766*x9 + 0.001663117012*x10
       - 0.0001629879426*x11 + 0.009483363969*x12 + 0.02323890676*x13
       + 0.006823038501*x14 + 0.005151055365*x15 + 0.01684872692*x16
       - 0.001650428391*x17 + 0.0154052548*x18 + 0.008437395193*x19
       + 0.007870490167*x20 + 0.02034770324*x21 + 0.017036461*x22
       + 0.008709499878*x23 + 0.0140757926*x24 + 0.01439533956*x25
       + 0.145199242*x26 + 0.008057062098*x27 + 0.02083000024*x28
       + 0.0102292432*x29 + 0.02634399475*x30 + 0.03208160374*x31 - x88 =E= 0;

e60..    0.01511562711*x2 + 0.005152479761*x3 + 0.0006668412402*x4
       + 0.0107465986*x5 + 0.006839281829*x6 + 0.01510530935*x7
       + 0.0285556318*x8 + 0.01937309209*x9 + 0.01465526517*x10
       + 0.009074091342*x11 + 0.01900429598*x12 + 0.0154196652*x13
       + 0.01503898132*x14 + 0.01161103704*x15 + 0.01871088985*x16
       + 0.006693369722*x17 + 0.01401029514*x18 + 0.01944612366*x19
       + 0.02186853226*x20 + 0.008930337215*x21 + 0.01832365596*x22
       + 0.02809484369*x23 + 0.01494478642*x24 + 0.01446658106*x25
       + 0.008057062098*x26 + 0.2658765475*x27 + 0.01382289417*x28
       + 0.01240686845*x29 + 0.01666519307*x30 + 0.02223512657*x31 - x89 =E= 0;

e61..    0.02158202354*x2 + 0.006924610956*x3 + 0.01613854422*x4
       + 0.01487480101*x5 + 0.02446934107*x6 + 0.01352954418*x7
       + 0.01746784764*x8 + 0.01583052538*x9 + 0.04382711136*x10
       + 0.01667879701*x11 + 0.01439367776*x12 + 0.1025548583*x13
       + 0.006029809517*x14 + 0.0230531493*x15 + 0.01297466799*x16
       + 0.009397706153*x17 - 0.006448254291*x18 + 0.007618841808*x19
       + 0.03369998813*x20 + 0.01546773538*x21 + 0.01742470259*x22
       - 0.002138823779*x23 + 0.0712233218*x24 - 0.002514077819*x25
       + 0.02083000024*x26 + 0.01382289417*x27 + 0.4205052173*x28
       + 0.03031811554*x29 - 0.004997256926*x30 + 0.0130778095*x31 - x90 =E= 0;

e62..    0.01642659114*x2 + 0.01051979535*x3 + 0.005608089014*x4
       + 0.006293640232*x5 + 0.02179367127*x6 + 0.01131454302*x7
       + 0.02373401635*x8 + 0.01400010142*x9 + 0.01705518898*x10
       + 0.01696572251*x11 + 0.008482941713*x12 + 0.01119636024*x13
       + 0.005757907195*x14 + 0.01718332798*x15 + 0.006119398004*x16
       + 0.00203496184*x17 + 0.01292276966*x18 + 0.0113998017*x19
       + 0.01393881986*x20 + 0.001554553614*x21 + 0.003334893371*x22
       + 0.03748141611*x23 + 0.01736858916*x24 + 0.0113119322*x25
       + 0.0102292432*x26 + 0.01240686845*x27 + 0.03031811554*x28
       + 0.1790564165*x29 + 0.006126737951*x30 + 0.02291774198*x31 - x91 =E= 0;

e63..    0.003252256697*x2 + 0.002377685555*x3 + 0.01341932895*x4
       + 0.004302145478*x5 + 0.00389780752*x6 + 0.01442936028*x7
       + 0.02120612855*x8 + 0.009411488903*x9 + 0.01196483274*x10
       + 0.01558774793*x11 + 0.01767813058*x12 + 0.004147592153*x13
       + 0.0231730447*x14 + 0.02034647667*x15 + 0.01781084399*x16
       + 0.003456636343*x17 + 0.05501351625*x18 + 0.01687943537*x19
       + 0.02555480866*x20 + 0.01262403365*x21 + 0.02008270467*x22
       + 0.02285142383*x23 + 0.04038805403*x24 + 0.01675203524*x25
       + 0.02634399475*x26 + 0.01666519307*x27 - 0.004997256926*x28
       + 0.006126737951*x29 + 0.1737276716*x30 + 0.04504248434*x31 - x92 =E= 0;

e64..    0.01806562172*x2 + 0.01655151467*x3 + 0.009226923959*x4
       + 0.004123715964*x5 + 0.01215206723*x6 + 0.01428389512*x7
       + 0.03030031018*x8 + 0.01306897307*x9 + 0.01963414738*x10
       + 0.01588361902*x11 + 0.02250335083*x12 - 0.0002386745597*x13
       + 0.01316954414*x14 + 0.01503109552*x15 + 0.01148253321*x16
       + 0.008673479249*x17 + 0.001855541538*x18 + 0.01489967197*x19
       + 0.02781062537*x20 + 0.008934617894*x21 + 0.009707076982*x22
       + 0.03140760208*x23 + 0.04148728698*x24 + 0.01793825619*x25
       + 0.03208160374*x26 + 0.02223512657*x27 + 0.0130778095*x28
       + 0.02291774198*x29 + 0.04504248434*x30 + 0.1187795206*x31 - x93 =E= 0;

e65..    1.013535003*x2 + 1.039557271*x3 + 1.038082541*x4 + 1.0439477*x5
       + 1.048265107*x6 + 1.035245825*x7 + 1.153319254*x8 + 1.035501949*x9
       + 1.020601258*x10 + 1.044248755*x11 + 1.033011152*x12 + 1.099524285*x13
       + 1.034111549*x14 + 1.03832451*x15 + 1.033534688*x16 + 1.018453974*x17
       + 1.039977489*x18 + 1.00873699*x19 + 1.05595492*x20 + 1.079713039*x21
       + 1.048785993*x22 + 1.02859956*x23 + 1.097014048*x24 + 1.003999524*x25
       + 1.024738044*x26 + 1.036349603*x27 + 1.112290578*x28 + 1.026572705*x29
       + 1.022348246*x30 + 1.028235364*x31 + x32 - x94 =E= 0.9;

e66..    0.3686044535*x2 + 0.01859419456*x3 + 0.02554947226*x4
       - 0.0001332822587*x5 + 0.0321602532*x6 + 0.01951123121*x7
       + 0.04531345996*x8 + 0.05848773379*x9 + 0.0413784281*x10
       + 0.03265076649*x11 + 0.0614124328*x12 + 0.03487686135*x13
       + 0.02966167339*x14 + 0.07355268812*x15 + 0.02556755974*x16
       + 0.04713040688*x17 - 0.01287443642*x18 + 0.02404093674*x19
       + 0.07173545804*x20 + 0.03235453792*x21 + 0.03861083526*x22
       + 0.03672971937*x23 + 0.07587040499*x24 + 0.01697102707*x25
       + 0.0291717991*x26 + 0.03377924305*x27 + 0.04822984936*x28
       + 0.03670888483*x29 + 0.007267893593*x30 + 0.04037166453*x31 - x95 =E= 0
      ;

e67..    0.01859419456*x2 + 0.3406394792*x3 + 0.03545443598*x4
       + 0.03826870971*x5 + 0.02122753444*x6 + 0.02954622296*x7
       + 0.0563671348*x8 + 0.02341744583*x9 + 0.01337935929*x10
       + 0.0158474671*x11 + 0.01586174697*x12 - 0.003723527761*x13
       - 0.00535664597*x14 + 0.009855757899*x15 + 0.02005513448*x16
       + 0.009646258127*x17 + 0.01971342184*x18 + 0.02628548673*x19
       + 0.04692813619*x20 + 0.02682258296*x21 - 0.007272122851*x22
       + 0.01188500606*x23 + 0.03432097758*x24 + 0.04103446939*x25
       + 0.02566865017*x26 + 0.01151436622*x27 + 0.01547458897*x28
       + 0.02350883105*x29 + 0.005313469144*x30 + 0.03698805432*x31 - x96 =E= 0
      ;

e68..    0.02554947226*x2 + 0.03545443598*x3 + 0.4834563794*x4
       + 0.02101157239*x5 + 0.04063650177*x6 + 0.01032297788*x7
       + 0.06805115454*x8 + 0.03575638772*x9 + 0.0466082366*x10
       + 0.009515475281*x11 + 0.01894336954*x12 + 0.03728736256*x13
       + 0.01547455041*x14 + 0.0251869931*x15 + 0.02102680629*x16
       - 0.01380909441*x17 + 0.002989626807*x18 + 0.02214303287*x19
       + 0.03768314736*x20 + 0.05036119762*x21 + 0.02892327561*x22
       + 0.0297305907*x23 + 0.08126117932*x24 + 0.02272569207*x25
       + 0.003877398248*x26 + 0.001490205611*x27 + 0.03606517967*x28
       + 0.0125325268*x29 + 0.02998848615*x30 + 0.02061962132*x31 - x97 =E= 0;

e69..  - 0.0001332822587*x2 + 0.03826870971*x3 + 0.02101157239*x4
       + 0.3610369586*x5 + 0.01896036382*x6 + 0.02192538185*x7 + 0.027862254*x8
       + 0.01045600316*x9 + 0.009083912904*x10 - 0.004315967919*x11
       + 0.03885449427*x12 - 0.005334996747*x13 + 0.003235162949*x14
       + 0.01234566717*x15 + 0.0430882624*x16 + 0.00485798503*x17
       + 0.0167277808*x18 + 0.0004303476848*x19 + 0.02751590462*x20
       + 0.04924394039*x21 + 0.004007614265*x22 + 0.001976170696*x23
       + 0.03931541302*x24 + 0.02377566195*x25 + 0.01655505665*x26
       + 0.02401567354*x27 + 0.03324106338*x28 + 0.01406454403*x29
       + 0.00961410444*x30 + 0.00921536386*x31 - x98 =E= 0;

e70..    0.0321602532*x2 + 0.02122753444*x3 + 0.04063650177*x4
       + 0.01896036382*x5 + 0.5783494027*x6 + 0.03525665373*x7
       + 0.03198411348*x8 + 0.02270594731*x9 + 0.05486215839*x10
       + 0.04991730963*x11 + 0.07661171777*x12 + 0.02697362693*x13
       + 0.00696830648*x14 + 0.09073780991*x15 + 0.04534221649*x16
       + 0.02878108734*x17 - 0.01790311553*x18 + 0.01990325617*x19
       + 0.06741987859*x20 + 0.05423550959*x21 + 0.0110847937*x22
       + 0.08323564933*x23 + 0.07049223603*x24 + 0.03108117837*x25
       + 0.01677163279*x26 + 0.01528390198*x27 + 0.05468220493*x28
       + 0.04870282346*x29 + 0.008710521012*x30 + 0.02715650694*x31 - x99 =E= 0
      ;

e71..    0.01951123121*x2 + 0.02954622296*x3 + 0.01032297788*x4
       + 0.02192538185*x5 + 0.03525665373*x6 + 0.4084881854*x7
       + 0.07854594708*x8 + 0.03979294799*x9 + 0.01770484762*x10
       + 0.04033271685*x11 + 0.0577463418*x12 + 0.01370995346*x13
       + 0.02804817769*x14 + 0.04856723644*x15 + 0.01716335009*x16
       + 0.02419519006*x17 - 0.001811302794*x18 + 0.0004442684541*x19
       + 0.05934904982*x20 + 0.02201651948*x21 + 0.03589055557*x22
       + 0.03209057694*x23 + 0.08685018636*x24 + 0.03196983552*x25
       + 0.01951462309*x26 + 0.0337561857*x27 + 0.03023478668*x28
       + 0.02528487212*x29 + 0.03224562663*x30 + 0.03192055224*x31 - x100 =E= 0
      ;

e72..    0.04531345996*x2 + 0.0563671348*x3 + 0.06805115454*x4 + 0.027862254*x5
       + 0.03198411348*x6 + 0.07854594708*x7 + 1.175696186*x8
       + 0.01281390665*x9 + 0.03443235374*x10 + 0.05819686685*x11
       + 0.08540182293*x12 + 0.03087319816*x13 + 0.0319504893*x14
       + 0.07401678852*x15 + 0.02050802697*x16 + 0.03573329648*x17
       - 0.006190245688*x18 + 0.02285007328*x19 + 0.1053997791*x20
       + 0.02757395921*x21 + 0.07083564198*x22 + 0.07774403057*x23
       + 0.1971757554*x24 + 0.07894056816*x25 + 0.01624956679*x26
       + 0.06381393374*x27 + 0.03903580491*x28 + 0.05303895768*x29
       + 0.04738982809*x30 + 0.06771280704*x31 - x101 =E= 0;

e73..    0.05848773379*x2 + 0.02341744583*x3 + 0.03575638772*x4
       + 0.01045600316*x5 + 0.02270594731*x6 + 0.03979294799*x7
       + 0.01281390665*x8 + 0.5894102748*x9 + 0.02626708748*x10
       + 0.04656286955*x11 + 0.04098302984*x12 + 0.02945734386*x13
       + 0.03179281924*x14 + 0.05018556996*x15 - 0.0001045547897*x16
       + 0.01138991177*x17 + 0.001918290474*x18 + 0.03024601916*x19
       + 0.1190976422*x20 + 0.0376803453*x21 + 0.04618374552*x22
       + 0.02115237978*x23 + 0.0794281369*x24 + 0.02949241167*x25
       + 0.008720144282*x26 + 0.04329349894*x27 + 0.03537684283*x28
       + 0.03128635187*x29 + 0.02103207289*x30 + 0.02920553772*x31 - x102 =E= 0
      ;

e74..    0.0413784281*x2 + 0.01337935929*x3 + 0.0466082366*x4
       + 0.009083912904*x5 + 0.05486215839*x6 + 0.01770484762*x7
       + 0.03443235374*x8 + 0.02626708748*x9 + 0.358425918*x10
       + 0.027817726*x11 + 0.03274870937*x12 + 0.03535648884*x13
       + 0.009430996838*x14 + 0.0388038161*x15 + 0.04873772364*x16
       + 0.0137357776*x17 - 0.006611729935*x18 + 0.02301099157*x19
       + 0.08234772807*x20 + 0.04047309928*x21 + 0.02450915356*x22
       + 0.02865213186*x23 + 0.04700080125*x24 + 0.02567858309*x25
       + 0.003716606221*x26 + 0.03275046153*x27 + 0.09794146387*x28
       + 0.03811362701*x29 + 0.02673808967*x30 + 0.04387688527*x31 - x103 =E= 0
      ;

e75..    0.03265076649*x2 + 0.0158474671*x3 + 0.009515475281*x4
       - 0.004315967919*x5 + 0.04991730963*x6 + 0.04033271685*x7
       + 0.05819686685*x8 + 0.04656286955*x9 + 0.027817726*x10
       + 0.5284737555*x11 + 0.02919919542*x12 + 0.003819524295*x13
       + 0.03969623541*x14 + 0.01903380242*x15 + 0.002462169551*x16
       + 0.0360136626*x17 + 0.01168958557*x18 + 0.03150256772*x19
       + 0.06346734174*x20 + 0.02179229326*x21 + 0.02251561971*x22
       + 0.007967326635*x23 + 0.01579275031*x24 + 0.01928599843*x25
       - 0.0003642329416*x26 + 0.02027808272*x27 + 0.03727249513*x28
       + 0.03791369423*x29 + 0.03483430241*x30 + 0.0354954924*x31 - x104 =E= 0;

e76..    0.0614124328*x2 + 0.01586174697*x3 + 0.01894336954*x4
       + 0.03885449427*x5 + 0.07661171777*x6 + 0.0577463418*x7
       + 0.08540182293*x8 + 0.04098302984*x9 + 0.03274870937*x10
       + 0.02919919542*x11 + 0.5904364473*x12 + 0.03664968003*x13
       + 0.007807288112*x14 + 0.1137497791*x15 + 0.02937770568*x16
       + 0.01140713912*x17 - 0.005993687138*x18 + 0.03848821432*x19
       + 0.06737960073*x20 + 0.04437954301*x21 + 0.03998413492*x22
       + 0.04497415923*x23 + 0.1457637459*x24 + 0.03127780137*x25
       + 0.02119269376*x26 + 0.0424693417*x27 + 0.03216588607*x28
       + 0.01895702691*x29 + 0.03950572908*x30 + 0.05028876086*x31 - x105 =E= 0
      ;

e77..    0.03487686135*x2 - 0.003723527761*x3 + 0.03728736256*x4
       - 0.005334996747*x5 + 0.02697362693*x6 + 0.01370995346*x7
       + 0.03087319816*x8 + 0.02945734386*x9 + 0.03535648884*x10
       + 0.003819524295*x11 + 0.03664968003*x12 + 0.8365064713*x13
       + 0.008910344125*x14 + 0.03325003469*x15 + 0.01504805808*x16
       + 0.02584273918*x17 + 0.01148736514*x18 + 0.008071835816*x19
       + 0.04812476833*x20 + 0.04172688146*x21 + 0.01376806601*x22
       + 0.001366803788*x23 + 0.1437228384*x24 + 0.01048249862*x25
       + 0.05193252478*x26 + 0.03445868402*x27 + 0.2291817242*x28
       + 0.02502076633*x29 + 0.009268720534*x30 - 0.0005333715831*x31 - x106
       =E= 0;

e78..    0.02966167339*x2 - 0.00535664597*x3 + 0.01547455041*x4
       + 0.003235162949*x5 + 0.00696830648*x6 + 0.02804817769*x7
       + 0.0319504893*x8 + 0.03179281924*x9 + 0.009430996838*x10
       + 0.03969623541*x11 + 0.007807288112*x12 + 0.008910344125*x13
       + 0.4339031953*x14 + 0.02522437035*x15 + 0.01479176454*x16
       + 0.004722335881*x17 - 0.01660343013*x18 + 0.009483663354*x19
       + 0.05833125971*x20 + 0.01390340751*x21 + 0.03184006914*x22
       - 0.01182316865*x23 + 0.04749439003*x24 + 0.02456312578*x25
       + 0.01524760264*x26 + 0.03360796091*x27 + 0.0134749554*x28
       + 0.01286732897*x29 + 0.05178534132*x30 + 0.02943028622*x31 - x107 =E= 0
      ;

e79..    0.07355268812*x2 + 0.009855757899*x3 + 0.0251869931*x4
       + 0.01234566717*x5 + 0.09073780991*x6 + 0.04856723644*x7
       + 0.07401678852*x8 + 0.05018556996*x9 + 0.0388038161*x10
       + 0.01903380242*x11 + 0.1137497791*x12 + 0.03325003469*x13
       + 0.02522437035*x14 + 0.6088394724*x15 + 0.01448253709*x16
       + 0.02253266985*x17 + 0.0733082418*x18 + 0.01327667869*x19
       + 0.05350042876*x20 + 0.05811889952*x21 + 0.03620943314*x22
       + 0.09731243824*x23 + 0.1231805444*x24 + 0.01417258087*x25
       + 0.01151118309*x26 + 0.02594745421*x27 + 0.05151740827*x28
       + 0.03839998221*x29 + 0.04546874408*x30 + 0.03359033833*x31 - x108 =E= 0
      ;

e80..    0.02556755974*x2 + 0.02005513448*x3 + 0.02102680629*x4
       + 0.0430882624*x5 + 0.04534221649*x6 + 0.01716335009*x7
       + 0.02050802697*x8 - 0.0001045547897*x9 + 0.04873772364*x10
       + 0.002462169551*x11 + 0.02937770568*x12 + 0.01504805808*x13
       + 0.01479176454*x14 + 0.01448253709*x15 + 0.4433403702*x16
       + 0.01055537658*x17 + 0.1073337685*x18 + 0.02574735363*x19
       + 0.01786857943*x20 - 0.009067619875*x21 + 0.01412307499*x22
       + 0.005714118582*x23 + 0.03331972717*x24 + 0.02279576048*x25
       + 0.03765224145*x26 + 0.04181366022*x27 + 0.02899479196*x28
       + 0.01367516088*x29 + 0.03980230682*x30 + 0.02566028371*x31 - x109 =E= 0
      ;

e81..    0.04713040688*x2 + 0.009646258127*x3 - 0.01380909441*x4
       + 0.00485798503*x5 + 0.02878108734*x6 + 0.02419519006*x7
       + 0.03573329648*x8 + 0.01138991177*x9 + 0.0137357776*x10
       + 0.0360136626*x11 + 0.01140713912*x12 + 0.02584273918*x13
       + 0.004722335881*x14 + 0.02253266985*x15 + 0.01055537658*x16
       + 0.4734669405*x17 + 0.01201829671*x18 + 0.02300684903*x19
       + 0.03078857956*x20 + 0.0464090277*x21 - 0.004452923865*x22
       + 0.03678432323*x23 + 0.04425850347*x24 + 0.0233535797*x25
       - 0.003688250666*x26 + 0.01495782881*x27 + 0.02100127225*x28
       + 0.004547576496*x29 + 0.007724625534*x30 + 0.01938282557*x31 - x110
       =E= 0;

e82..  - 0.01287443642*x2 + 0.01971342184*x3 + 0.002989626807*x4
       + 0.0167277808*x5 - 0.01790311553*x6 - 0.001811302794*x7
       - 0.006190245688*x8 + 0.001918290474*x9 - 0.006611729935*x10
       + 0.01168958557*x11 - 0.005993687138*x12 + 0.01148736514*x13
       - 0.01660343013*x14 + 0.0733082418*x15 + 0.1073337685*x16
       + 0.01201829671*x17 + 0.8279080744*x18 + 1.025867802E-5*x19
       - 0.009612355165*x20 + 0.01809217611*x21 - 0.0009463677808*x22
       + 0.02205668876*x23 - 0.01340658335*x24 + 0.0150510883*x25
       + 0.03442648078*x26 + 0.03130913201*x27 - 0.01441006366*x28
       + 0.02887881357*x29 + 0.1229399828*x30 + 0.00414662178*x31 - x111 =E= 0;

e83..    0.02404093674*x2 + 0.02628548673*x3 + 0.02214303287*x4
       + 0.0004303476848*x5 + 0.01990325617*x6 + 0.0004442684541*x7
       + 0.02285007328*x8 + 0.03024601916*x9 + 0.02301099157*x10
       + 0.03150256772*x11 + 0.03848821432*x12 + 0.008071835816*x13
       + 0.009483663354*x14 + 0.01327667869*x15 + 0.02574735363*x16
       + 0.02300684903*x17 + 1.025867802E-5*x18 + 0.2152504647*x19
       + 0.04842654319*x20 + 0.02105015144*x21 + 0.03423881204*x22
       + 0.005861214463*x23 + 0.02257588563*x24 + 0.03290681841*x25
       + 0.01885524304*x26 + 0.04345670429*x27 + 0.01702600278*x28
       + 0.02547540169*x29 + 0.03772086635*x30 + 0.03329664309*x31 - x112 =E= 0
      ;

e84..    0.07173545804*x2 + 0.04692813619*x3 + 0.03768314736*x4
       + 0.02751590462*x5 + 0.06741987859*x6 + 0.05934904982*x7
       + 0.1053997791*x8 + 0.1190976422*x9 + 0.08234772807*x10
       + 0.06346734174*x11 + 0.06737960073*x12 + 0.04812476833*x13
       + 0.05833125971*x14 + 0.05350042876*x15 + 0.01786857943*x16
       + 0.03078857956*x17 - 0.009612355165*x18 + 0.04842654319*x19
       + 0.507305223*x20 + 0.0558216785*x21 + 0.0813114795*x22
       + 0.03340264176*x23 + 0.08692221778*x24 + 0.02574114481*x25
       + 0.01758836721*x26 + 0.04887011706*x27 + 0.07531014634*x28
       + 0.03114940454*x29 + 0.05710792456*x30 + 0.06214905058*x31 - x113 =E= 0
      ;

e85..    0.03235453792*x2 + 0.02682258296*x3 + 0.05036119762*x4
       + 0.04924394039*x5 + 0.05423550959*x6 + 0.02201651948*x7
       + 0.02757395921*x8 + 0.0376803453*x9 + 0.04047309928*x10
       + 0.02179229326*x11 + 0.04437954301*x12 + 0.04172688146*x13
       + 0.01390340751*x14 + 0.05811889952*x15 - 0.009067619875*x16
       + 0.0464090277*x17 + 0.01809217611*x18 + 0.02105015144*x19
       + 0.0558216785*x20 + 0.9382895432*x21 + 0.08550052684*x22
       + 0.02197490526*x23 + 0.0661451503*x24 + 0.02350487984*x25
       + 0.04547148511*x26 + 0.01995683203*x27 + 0.03456610758*x28
       + 0.003473997075*x29 + 0.02821122127*x30 + 0.01996639816*x31 - x114
       =E= 0;

e86..    0.03861083526*x2 - 0.007272122851*x3 + 0.02892327561*x4
       + 0.004007614265*x5 + 0.0110847937*x6 + 0.03589055557*x7
       + 0.07083564198*x8 + 0.04618374552*x9 + 0.02450915356*x10
       + 0.02251561971*x11 + 0.03998413492*x12 + 0.01376806601*x13
       + 0.03184006914*x14 + 0.03620943314*x15 + 0.01412307499*x16
       - 0.004452923865*x17 - 0.0009463677808*x18 + 0.03423881204*x19
       + 0.0813114795*x20 + 0.08550052684*x21 + 0.856124751*x22
       + 0.02625396122*x23 + 0.04703732267*x24 + 0.0332354455*x25
       + 0.03807177516*x26 + 0.04094829965*x27 + 0.03893938767*x28
       + 0.007452563687*x29 + 0.04487928666*x30 + 0.02169263043*x31 - x115
       =E= 0;

e87..    0.03672971937*x2 + 0.01188500606*x3 + 0.0297305907*x4
       + 0.001976170696*x5 + 0.08323564933*x6 + 0.03209057694*x7
       + 0.07774403057*x8 + 0.02115237978*x9 + 0.02865213186*x10
       + 0.007967326635*x11 + 0.04497415923*x12 + 0.001366803788*x13
       - 0.01182316865*x14 + 0.09731243824*x15 + 0.005714118582*x16
       + 0.03678432323*x17 + 0.02205668876*x18 + 0.005861214463*x19
       + 0.03340264176*x20 + 0.02197490526*x21 + 0.02625396122*x22
       + 0.5205365009*x23 + 0.0960643112*x24 + 0.005411289245*x25
       + 0.0194633217*x26 + 0.06278419984*x27 - 0.004779679184*x28
       + 0.0837605913*x29 + 0.05106660769*x30 + 0.07018729797*x31 - x116 =E= 0;

e88..    0.07587040499*x2 + 0.03432097758*x3 + 0.08126117932*x4
       + 0.03931541302*x5 + 0.07049223603*x6 + 0.08685018636*x7
       + 0.1971757554*x8 + 0.0794281369*x9 + 0.04700080125*x10
       + 0.01579275031*x11 + 0.1457637459*x12 + 0.1437228384*x13
       + 0.04749439003*x14 + 0.1231805444*x15 + 0.03331972717*x16
       + 0.04425850347*x17 - 0.01340658335*x18 + 0.02257588563*x19
       + 0.08692221778*x20 + 0.0661451503*x21 + 0.04703732267*x22
       + 0.0960643112*x23 + 1.091417126*x24 + 0.02451042853*x25
       + 0.03145550071*x26 + 0.0333974614*x27 + 0.1591644118*x28
       + 0.03881398967*x29 + 0.09025612258*x30 + 0.09271260399*x31 - x117 =E= 0
      ;

e89..    0.01697102707*x2 + 0.04103446939*x3 + 0.02272569207*x4
       + 0.02377566195*x5 + 0.03108117837*x6 + 0.03196983552*x7
       + 0.07894056816*x8 + 0.02949241167*x9 + 0.02567858309*x10
       + 0.01928599843*x11 + 0.03127780137*x12 + 0.01048249862*x13
       + 0.02456312578*x14 + 0.01417258087*x15 + 0.02279576048*x16
       + 0.0233535797*x17 + 0.0150510883*x18 + 0.03290681841*x19
       + 0.02574114481*x20 + 0.02350487984*x21 + 0.0332354455*x22
       + 0.005411289245*x23 + 0.02451042853*x24 + 0.3395756558*x25
       + 0.03216959973*x26 + 0.03232880477*x27 - 0.005618268106*x28
       + 0.02527903768*x29 + 0.03743616232*x30 + 0.04008703782*x31 - x118 =E= 0
      ;

e90..    0.0291717991*x2 + 0.02566865017*x3 + 0.003877398248*x4
       + 0.01655505665*x5 + 0.01677163279*x6 + 0.01951462309*x7
       + 0.01624956679*x8 + 0.008720144282*x9 + 0.003716606221*x10
       - 0.0003642329416*x11 + 0.02119269376*x12 + 0.05193252478*x13
       + 0.01524760264*x14 + 0.01151118309*x15 + 0.03765224145*x16
       - 0.003688250666*x17 + 0.03442648078*x18 + 0.01885524304*x19
       + 0.01758836721*x20 + 0.04547148511*x21 + 0.03807177516*x22
       + 0.0194633217*x23 + 0.03145550071*x24 + 0.03216959973*x25
       + 0.3244801191*x26 + 0.01800530384*x27 + 0.04654928542*x28
       + 0.0228595274*x29 + 0.05887153705*x30 + 0.07169350516*x31 - x119 =E= 0;

e91..    0.03377924305*x2 + 0.01151436622*x3 + 0.001490205611*x4
       + 0.02401567354*x5 + 0.01528390198*x6 + 0.0337561857*x7
       + 0.06381393374*x8 + 0.04329349894*x9 + 0.03275046153*x10
       + 0.02027808272*x11 + 0.0424693417*x12 + 0.03445868402*x13
       + 0.03360796091*x14 + 0.02594745421*x15 + 0.04181366022*x16
       + 0.01495782881*x17 + 0.03130913201*x18 + 0.04345670429*x19
       + 0.04887011706*x20 + 0.01995683203*x21 + 0.04094829965*x22
       + 0.06278419984*x23 + 0.0333974614*x24 + 0.03232880477*x25
       + 0.01800530384*x26 + 0.5941604971*x27 + 0.03089034272*x28
       + 0.02772591715*x29 + 0.03724209409*x30 + 0.04968935387*x31 - x120 =E= 0
      ;

e92..    0.04822984936*x2 + 0.01547458897*x3 + 0.03606517967*x4
       + 0.03324106338*x5 + 0.05468220493*x6 + 0.03023478668*x7
       + 0.03903580491*x8 + 0.03537684283*x9 + 0.09794146387*x10
       + 0.03727249513*x11 + 0.03216588607*x12 + 0.2291817242*x13
       + 0.0134749554*x14 + 0.05151740827*x15 + 0.02899479196*x16
       + 0.02100127225*x17 - 0.01441006366*x18 + 0.01702600278*x19
       + 0.07531014634*x20 + 0.03456610758*x21 + 0.03893938767*x22
       - 0.004779679184*x23 + 0.1591644118*x24 - 0.005618268106*x25
       + 0.04654928542*x26 + 0.03089034272*x27 + 0.9397127776*x28
       + 0.0677525971*x29 - 0.01116748614*x30 + 0.0292252847*x31 - x121 =E= 0;

e93..    0.03670888483*x2 + 0.02350883105*x3 + 0.0125325268*x4
       + 0.01406454403*x5 + 0.04870282346*x6 + 0.02528487212*x7
       + 0.05303895768*x8 + 0.03128635187*x9 + 0.03811362701*x10
       + 0.03791369423*x11 + 0.01895702691*x12 + 0.02502076633*x13
       + 0.01286732897*x14 + 0.03839998221*x15 + 0.01367516088*x16
       + 0.004547576496*x17 + 0.02887881357*x18 + 0.02547540169*x19
       + 0.03114940454*x20 + 0.003473997075*x21 + 0.007452563687*x22
       + 0.0837605913*x23 + 0.03881398967*x24 + 0.02527903768*x25
       + 0.0228595274*x26 + 0.02772591715*x27 + 0.0677525971*x28
       + 0.4001415334*x29 + 0.01369156363*x30 + 0.05121481039*x31 - x122 =E= 0;

e94..    0.007267893593*x2 + 0.005313469144*x3 + 0.02998848615*x4
       + 0.00961410444*x5 + 0.008710521012*x6 + 0.03224562663*x7
       + 0.04738982809*x8 + 0.02103207289*x9 + 0.02673808967*x10
       + 0.03483430241*x11 + 0.03950572908*x12 + 0.009268720534*x13
       + 0.05178534132*x14 + 0.04546874408*x15 + 0.03980230682*x16
       + 0.007724625534*x17 + 0.1229399828*x18 + 0.03772086635*x19
       + 0.05710792456*x20 + 0.02821122127*x21 + 0.04487928666*x22
       + 0.05106660769*x23 + 0.09025612258*x24 + 0.03743616232*x25
       + 0.05887153705*x26 + 0.03724209409*x27 - 0.01116748614*x28
       + 0.01369156363*x29 + 0.3882332636*x30 + 0.1006574861*x31 - x123 =E= 0;

e95..    0.04037166453*x2 + 0.03698805432*x3 + 0.02061962132*x4
       + 0.00921536386*x5 + 0.02715650694*x6 + 0.03192055224*x7
       + 0.06771280704*x8 + 0.02920553772*x9 + 0.04387688527*x10
       + 0.0354954924*x11 + 0.05028876086*x12 - 0.0005333715831*x13
       + 0.02943028622*x14 + 0.03359033833*x15 + 0.02566028371*x16
       + 0.01938282557*x17 + 0.00414662178*x18 + 0.03329664309*x19
       + 0.06214905058*x20 + 0.01996639816*x21 + 0.02169263043*x22
       + 0.07018729797*x23 + 0.09271260399*x24 + 0.04008703782*x25
       + 0.07169350516*x26 + 0.04968935387*x27 + 0.0292252847*x28
       + 0.05121481039*x29 + 0.1006574861*x30 + 0.2654393539*x31 - x124 =E= 0;

e96..    1.013535003*x2 + 1.039557271*x3 + 1.038082541*x4 + 1.0439477*x5
       + 1.048265107*x6 + 1.035245825*x7 + 1.153319254*x8 + 1.035501949*x9
       + 1.020601258*x10 + 1.044248755*x11 + 1.033011152*x12 + 1.099524285*x13
       + 1.034111549*x14 + 1.03832451*x15 + 1.033534688*x16 + 1.018453974*x17
       + 1.039977489*x18 + 1.00873699*x19 + 1.05595492*x20 + 1.079713039*x21
       + 1.048785993*x22 + 1.02859956*x23 + 1.097014048*x24 + 1.003999524*x25
       + 1.024738044*x26 + 1.036349603*x27 + 1.112290578*x28 + 1.026572705*x29
       + 1.022348246*x30 + 1.028235364*x31 + x32 - x125 =E= 0.7;

e97.. sqr(x64) + sqr(x65) + sqr(x66) + sqr(x67) + sqr(x68) + sqr(x69) + sqr(x70
      ) + x71*x71 + sqr(x72) + sqr(x73) + sqr(x74) + sqr(x75) + sqr(x76) + sqr(
      x77) + x78*x78 + sqr(x79) + sqr(x80) + sqr(x81) + sqr(x82) + sqr(x83) + 
      sqr(x84) + sqr(x85) + sqr(x86) + sqr(x87) + sqr(x88) + sqr(x89) + sqr(x90
      ) + sqr(x91) + sqr(x92) + sqr(x93) - sqr(x94) =L= 0;

e98.. sqr(x95) + sqr(x96) + sqr(x97) + sqr(x98) + sqr(x99) + sqr(x100) + sqr(
      x101) + sqr(x102) + sqr(x103) + 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) =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;

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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