MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

Home // Instances // Documentation // Download // Statistics


Removed Instance qp1

Formats ams gms lp mod nl osil pip py
Primal Bounds (infeas ≤ 1e-08)  
Other points (infeas > 1e-08)  
Dual Bounds  
References Brooke, Anthony, Kendrick, D, and Meeraus, Alexander, GAMS: A User's Guide, The Scientific Press, Redwood City, California, 1988.
Source GAMS Model Library model qp1
Application Portfolio Optimization
Added to library 31 Jul 2001
Removed from library 14 Aug 2014
Removed because Duplicate of qp2
Problem type QP
#Variables 50
#Binary Variables 0
#Integer Variables 0
#Nonlinear Variables 50
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type quadratic
Objective curvature convex
#Nonzeros in Objective 50
#Nonlinear Nonzeros in Objective 50
#Constraints 2
#Linear Constraints 2
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature linear
#Nonzeros in Jacobian 97
#Nonlinear Nonzeros in Jacobian 0
#Nonzeros in (Upper-Left) Hessian of Lagrangian 2500
#Nonzeros in Diagonal of Hessian of Lagrangian 50
#Blocks in Hessian of Lagrangian 1
Minimal blocksize in Hessian of Lagrangian 50
Maximal blocksize in Hessian of Lagrangian 50
Average blocksize in Hessian of Lagrangian 50.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 3.5345e-05
Maximal coefficient 1.5483e+01
Infeasibility of initial point 1

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*          3        2        1        0        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*         51       51        0        0        0        0        0        0
*  FX      0        0        0        0        0        0        0        0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*        148       98       50        0
*
*  Solve m using NLP 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;

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;

Equations  e1,e2,e3;


e1.. -(0.0281500000000001*x2*x2 + 0.0256821428571429*x2*x3 + 0.0167714285714286
     *x2*x4 + 0.00449999999999996*x2*x5 + 0.00575357142857144*x2*x6 + 
     0.115021428571429*x2*x7 + 0.00735714285714283*x2*x8 - 0.0229500000000001*
     x2*x9 + 0.0339500000000001*x2*x10 + 0.018975*x2*x11 + 0.01125*x2*x12 - 
     0.0128107142857142*x2*x13 - 0.0135821428571429*x2*x14 + 0.0136035714285715
     *x2*x15 + 0.121382142857143*x2*x16 + 0.0245428571428572*x2*x17 - 
     0.000492857142857131*x2*x18 + 0.00890714285714287*x2*x19 + 
     0.00278928571428574*x2*x20 - 0.00705357142857148*x2*x21 + 
     0.00964285714285709*x2*x22 + 0.00108214285714287*x2*x23 + 
     0.00479642857142854*x2*x24 + 0.0160785714285713*x2*x25 + 
     0.00421785714285711*x2*x26 + 0.00810000000000001*x2*x27 + 
     0.0635714285714284*x2*x28 - 0.00162142857142863*x2*x29 + 
     0.0246857142857143*x2*x30 - 0.0173428571428572*x2*x31 + 0.212957142857143*
     x2*x32 + 0.0971249999999998*x2*x33 + 0.0128321428571428*x2*x34 + 
     0.0633071428571426*x2*x35 + 0.00425000000000001*x2*x36 + 
     0.0718178571428574*x2*x37 + 0.00535714285714283*x2*x38 + 
     0.00418928571428584*x2*x39 + 0.00089285714285711*x2*x40 + 
     0.0460857142857143*x2*x41 - 0.00650714285714286*x2*x42 + 
     0.0061071428571428*x2*x43 + 0.0262571428571427*x2*x44 + 0.0435892857142854
     *x2*x45 + 0.000410714285714303*x2*x46 + 0.00640357142857142*x2*x47 - 
     0.00358571428571431*x2*x48 + 0.102967857142857*x2*x49 + 0.0128571428571428
     *x2*x50 + 0.1342*x2*x51 + 0.177550492610837*x3*x3 + 0.0864747536945814*x3*
     x4 + 0.121961699507389*x3*x5 + 0.020425*x3*x6 + 0.128937068965517*x3*x7 + 
     0.0036791871921183*x3*x8 + 0.151099137931034*x3*x9 + 0.171092857142857*x3*
     x10 + 0.135329679802956*x3*x11 + 0.0158374384236453*x3*x12 + 
     0.0422906403940887*x3*x13 - 0.0430443349753695*x3*x14 + 0.0419793103448276
     *x3*x15 + 0.205994334975369*x3*x16 + 0.0732357142857143*x3*x17 + 
     0.085480541871921*x3*x18 + 0.0426789408866994*x3*x19 + 0.00786342364532027
     *x3*x20 - 0.0417923645320198*x3*x21 + 0.156218965517241*x3*x22 - 
     0.00528940886699508*x3*x23 - 0.016889039408867*x3*x24 - 0.128986206896552*
     x3*x25 - 0.00838743842364517*x3*x26 - 0.00495073891625612*x3*x27 + 
     0.299830541871921*x3*x28 + 0.0162682266009851*x3*x29 + 0.073925738916256*
     x3*x30 - 0.124098275862069*x3*x31 + 0.64849802955665*x3*x32 + 
     0.11841145320197*x3*x33 + 0.0207647783251233*x3*x34 + 0.0380407635467979*
     x3*x35 + 0.00880849753694576*x3*x36 + 0.121545566502463*x3*x37 + 
     0.0480818965517241*x3*x38 - 0.00845394088669949*x3*x39 - 
     0.0320119458128077*x3*x40 + 0.123291502463054*x3*x41 + 0.0247464285714287*
     x3*x42 - 0.00906859605911338*x3*x43 + 0.01611921182266*x3*x44 + 
     0.0943937192118226*x3*x45 + 7.24137931034384e-5*x3*x46 + 
     0.0114182266009852*x3*x47 + 0.00624495073891627*x3*x48 + 0.260646551724138
     *x3*x49 - 0.0391561576354679*x3*x50 + 0.351059236453202*x3*x51 + 
     0.320196551724138*x4*x4 + 0.278456650246305*x4*x5 + 0.0208750000000001*x4*
     x6 + 0.106618965517241*x4*x7 - 0.00496280788177331*x4*x8 + 
     0.214316502463054*x4*x9 + 0.231428571428571*x4*x10 + 0.166619088669951*x4*
     x11 - 0.0254401477832511*x4*x12 + 0.0427368226600984*x4*x13 + 
     0.0497257389162564*x4*x14 + 0.0194710591133005*x4*x15 + 0.0505421182266006
     *x4*x16 + 0.00272500000000001*x4*x17 + 0.0587525862068962*x4*x18 - 
     0.00095554187192125*x4*x19 + 0.148952216748769*x4*x20 - 0.0582609605911333
     *x4*x21 - 0.0512844827586212*x4*x22 + 0.00180541871921182*x4*x23 - 
     0.0117965517241379*x4*x24 - 0.0269211822660092*x4*x25 - 
     0.00298842364532039*x4*x26 + 0.00254322660098542*x4*x27 + 
     0.308599014778325*x4*x28 - 0.0191912561576357*x4*x29 - 0.0641467980295562*
     x4*x30 - 0.0803294334975367*x4*x31 + 0.707697413793104*x4*x32 - 
     0.0783682266009842*x4*x33 - 0.00213596059113295*x4*x34 - 0.158436453201969
     *x4*x35 + 0.0290546798029556*x4*x36 + 0.141398645320198*x4*x37 - 
     0.000417733990147721*x4*x38 + 0.336612684729064*x4*x39 + 
     0.0719899014778327*x4*x40 + 0.17665960591133*x4*x41 - 0.00070714285714271*
     x4*x42 - 0.0501067733990149*x4*x43 - 0.079123891625615*x4*x44 - 
     0.0794022167487677*x4*x45 + 0.013270935960591*x4*x46 - 0.0121912561576354*
     x4*x47 + 0.0137150246305418*x4*x48 + 0.143923152709361*x4*x49 - 
     0.0379897783251226*x4*x50 + 0.236040024630542*x4*x51 + 0.873730541871921*
     x5*x5 - 0.00209642857142841*x5*x6 + 0.126252709359605*x5*x7 - 
     0.00305948275862055*x5*x8 + 0.375462561576354*x5*x9 + 0.359710714285715*x5
     *x10 + 0.183223645320197*x5*x11 - 0.0363608374384235*x5*x12 + 
     0.0706527093596062*x5*x13 + 0.048939901477833*x5*x14 + 0.0146729064039407*
     x5*x15 + 0.135002955665025*x5*x16 + 0.0843892857142859*x5*x17 + 
     0.0319467980295566*x5*x18 + 0.0181043103448275*x5*x19 + 0.129191133004926*
     x5*x20 - 0.0415168719211819*x5*x21 + 0.0884450738916258*x5*x22 + 
     0.00589618226600983*x5*x23 + 0.0177647783251231*x5*x24 - 0.226704556650246
     *x5*x25 + 0.129321551724138*x5*x26 - 0.00780147783251217*x5*x27 + 
     0.6451539408867*x5*x28 + 0.075557881773399*x5*x29 - 0.0650663793103451*x5*
     x30 - 0.160514408866995*x5*x31 + 0.644871059113304*x5*x32 + 
     0.0157300492610857*x5*x33 + 0.0459474137931038*x5*x34 - 0.206882758620689*
     x5*x35 + 0.00288485221674858*x5*x36 - 0.0931160098522166*x5*x37 + 
     0.0685923645320195*x5*x38 + 0.457774261083743*x5*x39 - 0.0331846059113289*
     x5*x40 + 0.199861576354679*x5*x41 - 0.0447607142857143*x5*x42 + 
     0.0304699507389161*x5*x43 - 0.237593719211822*x5*x44 - 0.0534447044334963*
     x5*x45 + 0.0131412561576353*x5*x46 - 0.0355135467980296*x5*x47 + 
     0.00108633004926108*x5*x48 + 0.192918103448278*x5*x49 - 0.0632230295566501
     *x5*x50 + 0.56390775862069*x5*x51 + 0.0626*x6*x6 - 0.024932142857143*x6*x7
      + 4.28571428571879e-5*x6*x8 + 0.0473035714285714*x6*x9 + 
     0.0590857142857142*x6*x10 + 0.0482607142857143*x6*x11 + 0.0147999999999999
     *x6*x12 - 0.0222107142857143*x6*x13 - 0.0246214285714288*x6*x14 + 
     0.00818928571428569*x6*x15 + 0.131407142857143*x6*x16 + 0.0307321428571429
     *x6*x17 + 0.0108928571428571*x6*x18 - 0.0148214285714286*x6*x19 + 
     0.00149642857142861*x6*x20 + 0.0461321428571428*x6*x21 - 
     0.00774642857142884*x6*x22 - 0.00222142857142858*x6*x23 - 
     0.0168178571428571*x6*x24 + 0.0336714285714286*x6*x25 + 0.0341285714285714
     *x6*x26 - 0.026625*x6*x27 + 0.0619642857142856*x6*x28 - 
     0.00673928571428572*x6*x29 + 0.0371464285714285*x6*x30 - 
     0.0253142857142857*x6*x31 + 0.231007142857143*x6*x32 + 0.107235714285714*
     x6*x33 + 0.0157464285714284*x6*x34 + 0.047357142857143*x6*x35 - 
     0.00147142857142863*x6*x36 - 0.0316035714285714*x6*x37 + 
     0.00111428571428573*x6*x38 + 0.135357142857143*x6*x39 + 0.0209464285714286
     *x6*x40 + 0.0708714285714286*x6*x41 + 0.0105571428571429*x6*x42 - 
     0.0282035714285715*x6*x43 - 0.0115964285714284*x6*x44 - 0.0859928571428572
     *x6*x45 - 0.00072142857142856*x6*x46 - 0.00461071428571428*x6*x47 - 
     0.00142142857142858*x6*x48 + 0.06955*x6*x49 - 0.0340178571428571*x6*x50 + 
     0.0714749999999997*x6*x51 + 4.2131421182266*x7*x7 + 0.0535811576354682*x7*
     x8 + 0.120341379310345*x7*x9 + 0.371828571428572*x7*x10 + 
     0.679686083743842*x7*x11 + 0.032145812807882*x7*x12 - 0.291779310344828*x7
     *x13 - 0.192257635467981*x7*x14 + 0.105210960591133*x7*x15 + 
     0.924461206896551*x7*x16 + 0.0759392857142857*x7*x17 + 0.150344704433498*
     x7*x18 + 0.176250123152709*x7*x19 + 0.255748522167487*x7*x20 + 
     0.0226584975369455*x7*x21 + 0.889289655172415*x7*x22 + 0.016695197044335*
     x7*x23 + 0.0532131773399015*x7*x24 + 0.240927216748769*x7*x25 + 
     0.00546847290640407*x7*x26 + 0.154489039408867*x7*x27 + 0.0912839901477837
     *x7*x28 + 0.0264786945812807*x7*x29 + 0.535050246305418*x7*x30 - 
     0.0650291871921183*x7*x31 + 1.22684100985222*x7*x32 + 1.18731810344827*x7*
     x33 + 0.252390640394089*x7*x34 + 0.605071921182266*x7*x35 + 
     0.0689349753694581*x7*x36 + 0.435502093596058*x7*x37 + 0.0892511083743847*
     x7*x38 - 0.365085837438424*x7*x39 + 0.0924876847290629*x7*x40 + 
     0.0610221674876854*x7*x41 - 0.0902464285714283*x7*x42 - 0.073189532019704*
     x7*x43 - 0.428347167487684*x7*x44 + 0.950612192118227*x7*x45 - 
     0.0191937192118227*x7*x46 - 0.0521570197044333*x7*x47 - 0.0536576354679802
     *x7*x48 + 0.599583374384237*x7*x49 + 0.322795566502463*x7*x50 + 
     1.67819593596059*x7*x51 + 0.0232891625615763*x8*x8 - 0.00234482758620676*
     x8*x9 + 0.0145392857142858*x8*x10 - 0.0037852216748769*x8*x11 + 
     0.00633965517241377*x8*x12 - 0.0141545566502463*x8*x13 - 
     0.00886970443349746*x8*x14 - 0.00721157635467979*x8*x15 + 
     0.0117161330049265*x8*x16 + 0.0151607142857144*x8*x17 - 0.0162939655172412
     *x8*x18 + 0.00202992610837438*x8*x19 + 0.00387302955665028*x8*x20 - 
     0.0105029556650247*x8*x21 + 0.0417290640394088*x8*x22 + 
     0.000711453201970449*x8*x23 + 0.0107306650246305*x8*x24 + 
     0.0589350985221674*x8*x25 + 0.00509605911330054*x8*x26 + 
     0.0140330049261084*x8*x27 + 0.0145167487684732*x8*x28 - 
     0.00476650246305416*x8*x29 + 0.0270312807881774*x8*x30 + 
     0.00778251231527084*x8*x31 + 0.0470796798029563*x8*x32 + 0.11383842364532*
     x8*x33 + 0.0194541871921182*x8*x34 + 0.0714268472906406*x8*x35 + 
     0.00314187192118225*x8*x36 + 0.00668731527093612*x8*x37 + 
     0.0237729064039408*x8*x38 + 0.0111736453201973*x8*x39 + 
     0.00395738916256162*x8*x40 - 0.0128168719211822*x8*x41 + 
     0.00307857142857136*x8*x42 + 0.0138937192118227*x8*x43 + 
     0.0311561576354681*x8*x44 + 0.109055541871921*x8*x45 - 0.00404876847290639
     *x8*x46 + 0.00649064039408863*x8*x47 + 0.00356958128078816*x8*x48 + 
     0.0837314039408872*x8*x49 + 0.0340833743842364*x8*x50 + 0.121226724137931*
     x8*x51 + 0.718225615763547*x9*x9 + 0.309753571428571*x9*x10 + 
     0.250797167487685*x9*x11 + 0.020077339901478*x9*x12 + 0.148602093596059*x9
     *x13 - 0.0549795566502462*x9*x14 + 0.0287504926108374*x9*x15 - 
     0.190027586206898*x9*x16 + 0.0971999999999999*x9*x17 + 0.104489408866994*
     x9*x18 + 0.0570109605911329*x9*x19 + 0.133125615763547*x9*x20 - 
     0.00837586206896572*x9*x21 + 0.265997167487684*x9*x22 - 0.0036881773399015
     *x9*x23 - 0.0476415024630542*x9*x24 - 0.233052709359606*x9*x25 + 
     0.019497660098522*x9*x26 - 0.0543040640394086*x9*x27 + 0.365735837438423*
     x9*x28 + 0.0382823891625617*x9*x29 + 0.0979469211822659*x9*x30 - 
     0.159022660098522*x9*x31 + 1.67176416256158*x9*x32 - 0.0660530788177339*x9
     *x33 + 0.146806280788177*x9*x34 + 0.00264027093596037*x9*x35 + 
     0.00509852216748764*x9*x36 - 0.269374384236452*x9*x37 + 0.0230165024630542
     *x9*x38 + 0.396249753694581*x9*x39 - 0.183688916256158*x9*x40 + 
     0.282222906403941*x9*x41 + 0.0516*x9*x42 + 0.00662807881773367*x9*x43 - 
     0.208605049261083*x9*x44 + 0.0700493842364531*x9*x45 + 0.00324113300492603
     *x9*x46 - 0.00187832512315275*x9*x47 + 0.0243347290640394*x9*x48 + 
     0.391906034482759*x9*x49 - 0.122155295566502*x9*x50 + 0.603274014778325*x9
     *x51 + 0.725057142857143*x10*x10 + 0.170496428571429*x10*x11 + 
     0.0432607142857136*x10*x12 + 0.0769642857142854*x10*x13 - 
     0.0775892857142863*x10*x14 + 0.0466714285714287*x10*x15 + 
     0.388192857142857*x10*x16 + 0.109728571428572*x10*x17 + 0.0391535714285715
     *x10*x18 + 0.0459357142857143*x10*x19 + 0.136989285714285*x10*x20 + 
     0.123982142857143*x10*x21 + 0.142475*x10*x22 - 0.00173928571428579*x10*x23
      - 0.0199*x10*x24 - 0.0579214285714287*x10*x25 + 0.0597750000000001*x10*
     x26 + 0.0025714285714286*x10*x27 + 0.319196428571429*x10*x28 + 
     0.0115642857142857*x10*x29 - 0.0419678571428571*x10*x30 - 
     0.109617857142857*x10*x31 + 1.28714285714286*x10*x32 + 0.151585714285713*
     x10*x33 + 0.137478571428572*x10*x34 + 0.0300428571428567*x10*x35 - 
     0.00586785714285728*x10*x36 - 0.0580142857142858*x10*x37 + 
     0.0449571428571425*x10*x38 + 0.41145*x10*x39 + 0.0784928571428565*x10*x40
      + 0.149778571428572*x10*x41 + 0.00352857142857158*x10*x42 - 
     0.0697714285714288*x10*x43 - 0.17375*x10*x44 + 0.30145*x10*x45 - 
     0.0201678571428572*x10*x46 + 0.0067714285714286*x10*x47 + 
     0.0156285714285714*x10*x48 + 0.276953571428572*x10*x49 - 
     0.0352214285714285*x10*x50 + 0.650510714285714*x10*x51 + 0.51814802955665*
     x11*x11 - 0.0243871921182265*x11*x12 - 0.102678201970444*x11*x13 + 
     0.0568895320197041*x11*x14 + 0.147128448275862*x11*x15 + 
     0.000760467980295784*x11*x16 + 0.0156892857142856*x11*x17 + 
     0.154547290640394*x11*x18 + 0.0261981527093597*x11*x19 + 0.121472167487684
     *x11*x20 - 0.0575774630541868*x11*x21 + 0.124190886699507*x11*x22 - 
     0.0143886699507389*x11*x23 - 0.0157619458128079*x11*x24 + 
     0.203488177339902*x11*x25 + 0.0377764778325126*x11*x26 + 0.061364408866995
     *x11*x27 + 0.292472290640394*x11*x28 + 0.00657672413793102*x11*x29 + 
     0.227835591133005*x11*x30 - 0.0795014778325124*x11*x31 + 1.39005270935961*
     x11*x32 + 0.0389713054187185*x11*x33 + 0.05999039408867*x11*x34 + 
     0.061517610837439*x11*x35 + 0.036675369458128*x11*x36 + 0.0733185960591124
     *x11*x37 - 0.00963091133004923*x11*x38 + 0.105305418719212*x11*x39 - 
     0.0672366995073899*x11*x40 + 0.340003201970443*x11*x41 + 
     0.0565857142857142*x11*x42 - 0.0104605911330053*x11*x43 + 
     0.0582432266009849*x11*x44 + 0.0258528325123149*x11*x45 + 
     0.000545073891625615*x11*x46 + 0.0214410098522168*x11*x47 - 
     0.000278325123152747*x11*x48 + 0.466888669950739*x11*x49 + 
     0.0655450738916255*x11*x50 + 0.627985960591133*x11*x51 + 
     0.0447738916256155*x12*x12 + 0.0235529556650246*x12*x13 + 
     0.0174841133004926*x12*x14 - 0.0020509852216749*x12*x15 + 
     0.0372444581280779*x12*x16 + 0.0358249999999997*x12*x17 - 
     0.000539532019704236*x12*x18 + 0.0001102216748769*x12*x19 - 
     0.00235837438423649*x12*x20 - 0.0170339901477834*x12*x21 + 
     0.0708985221674883*x12*x22 + 0.000637068965517218*x12*x23 - 
     0.00133485221674884*x12*x24 + 0.0165161330049259*x12*x25 - 
     0.00802032019704425*x12*x26 + 0.00599741379310337*x12*x27 - 
     0.036068103448275*x12*x28 - 0.0125183497536946*x12*x29 + 
     0.0209525862068966*x12*x30 - 0.0182618226600983*x12*x31 + 0.12347881773399
     *x12*x32 + 0.0603633004926109*x12*x33 + 0.0461017241379309*x12*x34 + 
     0.0803373152709364*x12*x35 - 0.000443472906403916*x12*x36 + 
     0.059223768472906*x12*x37 + 0.0119669950738915*x12*x38 - 
     0.00229950738916232*x12*x39 + 0.0402099753694581*x12*x40 + 
     0.00191847290640412*x12*x41 + 0.000771428571428663*x12*x42 - 
     0.00780972906403934*x12*x43 - 0.0148613300492608*x12*x44 - 
     0.0244380541871913*x12*x45 - 0.00791440886699501*x12*x46 - 
     0.00219334975369465*x12*x47 - 0.00048017241379307*x12*x48 + 
     0.0401200738916269*x12*x49 + 0.0152891625615765*x12*x50 + 
     0.085544827586207*x12*x51 + 0.262999261083744*x13*x13 + 
     0.00477807881773399*x13*x14 - 0.0191104679802956*x13*x15 - 
     0.291431650246306*x13*x16 - 0.0235714285714283*x13*x17 + 
     0.0322447044334974*x13*x18 + 0.0163179802955665*x13*x19 + 
     0.0509913793103449*x13*x20 - 0.156012931034483*x13*x21 + 0.264643226600985
     *x13*x22 + 0.00568805418719212*x13*x23 + 0.00425960591133004*x13*x24 - 
     0.306397783251232*x13*x25 - 0.0816779556650247*x13*x26 - 
     0.00524310344827576*x13*x27 + 0.0261947044334977*x13*x28 + 
     0.0376108374384236*x13*x29 - 0.0996568965517242*x13*x30 - 
     0.0323184729064039*x13*x31 - 0.116394704433497*x13*x32 - 0.25882118226601*
     x13*x33 + 0.0131834975369459*x13*x34 - 0.196006650246305*x13*x35 + 
     0.0100278325123152*x13*x36 + 0.0899663793103448*x13*x37 - 
     0.0253203201970445*x13*x38 - 0.0861144088669946*x13*x39 + 
     0.134719827586207*x13*x40 + 0.000711453201970334*x13*x41 + 
     0.0696642857142858*x13*x42 + 0.0543104679802956*x13*x43 - 
     0.152475738916256*x13*x44 - 0.0617270935960589*x13*x45 - 
     0.00338657635467984*x13*x46 - 0.00469630541871921*x13*x47 + 
     0.00799593596059114*x13*x48 - 0.184302339901478*x13*x49 - 
     0.0645472906403939*x13*x50 - 0.104261206896552*x13*x51 + 0.477768719211822
     *x14*x14 + 0.0590870689655173*x14*x15 - 0.372408004926109*x14*x16 - 
     0.102935714285714*x14*x17 + 0.127629802955665*x14*x18 - 0.0267118226600984
     *x14*x19 + 0.0321383004926109*x14*x20 - 0.138526477832512*x14*x21 + 
     0.0462431034482759*x14*x22 + 0.0114753694581281*x14*x23 + 
     0.0133064039408867*x14*x24 + 0.334655049261084*x14*x25 + 
     0.0230587438423642*x14*x26 + 0.110577216748768*x14*x27 + 
     0.00586194581280804*x14*x28 - 0.0260796798029557*x14*x29 - 
     0.0446022167487685*x14*x30 - 0.0200123152709358*x14*x31 - 0.37894408866995
     *x14*x32 - 0.132127216748769*x14*x33 + 0.0315020935960588*x14*x34 - 
     0.143297290640394*x14*x35 + 0.0246102216748768*x14*x36 + 0.147745443349753
     *x14*x37 - 0.0140278325123154*x14*x38 + 0.0954796798029553*x14*x39 + 
     0.153867980295567*x14*x40 + 0.0866612068965512*x14*x41 - 
     0.0254857142857143*x14*x42 - 0.00416564039408845*x14*x43 + 
     0.20116736453202*x14*x44 - 0.208899014778325*x14*x45 + 0.00271133004926102
     *x14*x46 - 0.0123261083743842*x14*x47 - 0.00023485221674878*x14*x48 + 
     0.0775746305418716*x14*x49 + 0.205914901477833*x14*x50 + 
     0.0281115763546798*x14*x51 + 0.108054679802956*x15*x15 + 0.032698645320197
     *x15*x16 - 0.0245678571428571*x15*x17 + 0.0661493842364531*x15*x18 + 
     0.010995197044335*x15*x19 + 0.0206362068965516*x15*x20 - 
     0.00431711822660098*x15*x21 + 0.0806141625615762*x15*x22 - 
     0.00163054187192118*x15*x23 - 0.0031889162561576*x15*x24 + 
     0.125602832512315*x15*x25 + 0.0600116995073893*x15*x26 + 
     0.0449846059113301*x15*x27 + 0.0769672413793103*x15*x28 + 
     0.0120666256157635*x15*x29 + 0.0698403940886699*x15*x30 - 
     0.0641795566502463*x15*x31 + 0.38718275862069*x15*x32 - 0.0686203201970445
     *x15*x33 + 0.0150257389162562*x15*x34 - 0.0194692118226601*x15*x35 + 
     0.0207145320197044*x15*x36 - 0.012228078817734*x15*x37 - 
     0.0192896551724137*x15*x38 + 0.0281262315270934*x15*x39 - 
     0.0423947044334975*x15*x40 + 0.205099753694581*x15*x41 + 
     0.0268642857142857*x15*x42 + 0.0096953201970443*x15*x43 + 
     0.0380466748768473*x15*x44 - 0.0458147783251231*x15*x45 + 
     0.00213004926108374*x15*x46 + 0.0220773399014778*x15*x47 + 
     0.000226354679802942*x15*x48 + 0.0934698275862069*x15*x49 + 
     0.0407514778325123*x15*x50 + 0.177329926108374*x15*x51 + 3.97069014778325*
     x16*x16 + 0.167521428571429*x16*x17 + 0.055902339901478*x16*x18 + 
     0.0743011083743842*x16*x19 - 0.132463300492611*x16*x20 + 0.799087192118227
     *x16*x21 - 0.494507389162561*x16*x22 + 0.0332174876847291*x16*x23 + 
     0.0425971674876848*x16*x24 - 0.0152264778325116*x16*x25 + 
     0.460255541871921*x16*x26 + 0.0660406403940888*x16*x27 + 0.895498768472907
     *x16*x28 + 0.0176261083743843*x16*x29 + 0.112666502463054*x16*x30 - 
     0.404330541871921*x16*x31 + 0.52246908866995*x16*x32 + 1.4484486453202*x16
     *x33 + 0.102937192118227*x16*x34 + 0.55256157635468*x16*x35 - 
     0.0152030788177343*x16*x36 + 0.0942795566502461*x16*x37 + 
     0.160584975369458*x16*x38 + 0.183288177339901*x16*x39 + 0.483907019704434*
     x16*x40 + 0.349353078817733*x16*x41 - 0.198282142857143*x16*x42 + 
     0.0573692118226604*x16*x43 - 0.0726602216748769*x16*x44 + 
     0.292627586206897*x16*x45 + 0.036231527093596*x16*x46 - 0.0491703201970444
     *x16*x47 - 0.00701514778325127*x16*x48 + 0.444718226600986*x16*x49 - 
     0.266336330049261*x16*x50 + 0.730027709359606*x16*x51 + 0.274142857142857*
     x17*x17 - 0.00556428571428521*x17*x18 - 0.0205857142857142*x17*x19 - 
     0.0152964285714285*x17*x20 + 0.0280285714285713*x17*x21 + 
     0.0616535714285723*x17*x22 - 0.007425*x17*x23 + 0.0248321428571429*x17*x24
      - 0.0324285714285716*x17*x25 - 0.0236321428571427*x17*x26 - 
     0.0185964285714285*x17*x27 + 0.0652892857142864*x17*x28 + 
     0.00119999999999999*x17*x29 + 0.0630321428571428*x17*x30 - 
     0.0801107142857146*x17*x31 + 0.486471428571429*x17*x32 + 0.137678571428572
     *x17*x33 - 0.0109071428571427*x17*x34 + 0.10665*x17*x35 + 
     0.000757142857142891*x17*x36 + 0.125421428571429*x17*x37 + 
     0.0426392857142857*x17*x38 + 0.0909821428571425*x17*x39 - 
     0.277285714285714*x17*x40 + 0.0263142857142854*x17*x41 - 
     0.0436107142857143*x17*x42 - 0.0605857142857141*x17*x43 - 
     0.104396428571428*x17*x44 - 0.318171428571428*x17*x45 - 
     0.00749285714285709*x17*x46 + 0.00603571428571429*x17*x47 - 
     0.0107785714285714*x17*x48 - 0.0380607142857139*x17*x49 - 
     0.0918071428571429*x17*x50 + 0.300596428571429*x17*x51 + 0.24628645320197*
     x18*x18 + 0.0473193349753694*x18*x19 - 0.00312130541871927*x18*x20 - 
     0.00945517241379319*x18*x21 + 0.213433004926109*x18*x22 + 
     0.000935221674876832*x18*x23 + 0.0035188423645322*x18*x24 + 
     0.0723551724137936*x18*x25 + 0.0313109605911329*x18*x26 - 
     0.00781366995073879*x18*x27 + 0.244682881773398*x18*x28 + 
     0.0339907635467979*x18*x29 + 0.019745812807882*x18*x30 - 
     0.0815288177339898*x18*x31 + 0.335206403940885*x18*x32 + 
     0.0755208128078822*x18*x33 + 0.0387698275862068*x18*x34 - 
     0.0379583743842361*x18*x35 + 0.0261054187192118*x18*x36 - 
     0.0347498768472897*x18*x37 - 0.00803312807881763*x18*x38 - 
     0.117876477832513*x18*x39 + 0.123884359605912*x18*x40 + 0.0874660098522157
     *x18*x41 + 0.0343035714285715*x18*x42 + 0.020418472906404*x18*x43 + 
     0.0348554187192115*x18*x44 - 0.0807929802955667*x18*x45 + 
     0.0119075123152708*x18*x46 - 9.4950738916248e-5*x18*x47 - 
     0.000838054187192177*x18*x48 + 0.165096921182265*x18*x49 + 
     0.0344182266009856*x18*x50 + 0.222811945812808*x18*x51 + 0.064481527093596
     *x19*x19 - 0.0176497536945813*x19*x20 + 0.0356217980295566*x19*x21 + 
     0.0993910098522167*x19*x22 + 0.00573830049261083*x19*x23 - 
     0.00867302955665026*x19*x24 - 0.0246539408866996*x19*x25 - 
     0.0129816502463054*x19*x26 - 0.0248737684729064*x19*x27 + 
     0.0884943349753694*x19*x28 + 0.0154136699507389*x19*x29 + 
     0.0334701970443349*x19*x30 - 0.00964334975369458*x19*x31 + 
     0.14173066502463*x19*x32 + 0.130630911330049*x19*x33 + 0.0419896551724138*
     x19*x34 + 0.0560546798029557*x19*x35 - 0.00354987684729066*x19*x36 - 
     0.0845104679802952*x19*x37 + 0.0129766009852217*x19*x38 - 
     0.0455600985221677*x19*x39 + 0.0478651477832512*x19*x40 - 
     0.0239501231527094*x19*x41 + 0.01005*x19*x42 + 0.043804802955665*x19*x43
      + 0.0155322660098522*x19*x44 + 0.282578325123153*x19*x45 + 
     0.00484359605911328*x19*x46 + 0.00387081280788179*x19*x47 + 
     0.00283817733990148*x19*x48 + 0.190043842364532*x19*x49 + 
     0.0502007389162562*x19*x50 + 0.14378460591133*x19*x51 + 0.17773275862069*
     x20*x20 - 0.105043719211823*x20*x21 + 0.031982881773399*x20*x22 - 
     0.00129532019704432*x20*x23 + 0.0105834975369458*x20*x24 + 
     0.0309115763546799*x20*x25 - 0.0205737684729065*x20*x26 + 
     0.0250495073891626*x20*x27 + 0.034596551724138*x20*x28 + 
     0.00523238916256158*x20*x29 - 0.00377807881773411*x20*x30 - 
     0.00367623152709363*x20*x31 + 0.743553448275861*x20*x32 - 
     0.0645137931034483*x20*x33 + 0.00339199507389168*x20*x34 - 
     0.00390258620689654*x20*x35 + 0.0265735221674877*x20*x36 + 
     0.0899970443349752*x20*x37 - 0.0261799261083744*x20*x38 + 
     0.0731283251231531*x20*x39 + 0.178121798029557*x20*x40 + 
     0.0624264778325124*x20*x41 - 0.00333928571428567*x20*x42 - 
     0.00176834975369465*x20*x43 - 0.0359514778325124*x20*x44 - 
     0.00334704433497591*x20*x45 - 0.00698743842364534*x20*x46 + 
     0.00277881773399013*x20*x47 + 0.00149901477832512*x20*x48 + 
     0.0763417487684726*x20*x49 - 0.00616958128078821*x20*x50 + 
     0.147313300492611*x20*x51 + 0.67810763546798*x21*x21 - 0.175852463054187*
     x21*x22 + 0.0131034482758621*x21*x23 - 0.0390354679802956*x21*x24 + 
     0.113981650246305*x21*x25 + 0.121408990147783*x21*x26 - 0.0479793103448276
     *x21*x27 + 0.123794827586207*x21*x28 - 0.00226034482758607*x21*x29 + 
     0.015525738916256*x21*x30 + 0.00795529556650248*x21*x31 + 0.36064445812808
     *x21*x32 + 0.318697167487684*x21*x33 + 0.0428826354679803*x21*x34 + 
     0.120612192118226*x21*x35 - 0.0457736453201971*x21*x36 - 0.517465147783251
     *x21*x37 + 0.0362533251231528*x21*x38 + 0.192410344827586*x21*x39 - 
     0.273808374384236*x21*x40 + 0.0201272167487685*x21*x41 - 
     0.0581071428571429*x21*x42 - 0.0502221674876847*x21*x43 - 
     0.0680415024630541*x21*x44 + 0.257765147783251*x21*x45 + 
     0.0112974137931035*x21*x46 - 0.018749630541872*x21*x47 + 
     0.00725209359605912*x21*x48 + 0.000285837438423833*x21*x49 - 
     0.0131490147783254*x21*x50 + 0.0482806650246306*x21*x51 + 1.66596231527094
     *x22*x22 + 0.00535775862068969*x22*x23 + 0.0354237684729065*x22*x24 + 
     0.102806034482758*x22*x25 - 0.0991378078817729*x22*x26 + 0.130446551724138
     *x22*x27 + 0.40611157635468*x22*x28 + 0.0567338669950738*x22*x29 + 
     0.263382019704433*x22*x30 - 0.0380943349753697*x22*x31 + 0.479602709359603
     *x22*x32 + 0.344821305418719*x22*x33 + 0.121376108374384*x22*x34 + 
     0.238714039408867*x22*x35 + 0.0566039408866993*x22*x36 + 
     0.0136328817733996*x22*x37 + 0.0724690886699503*x22*x38 - 
     0.336951724137931*x22*x39 - 0.00367241379310289*x22*x40 + 
     0.104753201970443*x22*x41 + 0.17465*x22*x42 + 0.111921551724138*x22*x43 - 
     0.264699630541873*x22*x44 + 0.444256403940886*x22*x45 - 
     0.000872783251231565*x22*x46 + 0.00779100985221667*x22*x47 + 
     0.0230038177339901*x22*x48 + 0.362270812807881*x22*x49 + 0.226616502463054
     *x22*x50 + 1.01497524630542*x22*x51 + 0.00550270935960591*x23*x23 + 
     0.000508866995073885*x23*x24 + 0.00984298029556642*x23*x25 + 
     0.00118793103448276*x23*x26 + 0.00310197044334977*x23*x27 + 
     0.00251379310344828*x23*x28 + 5.97290640394066e-5*x23*x29 + 
     0.0028408866995074*x23*x30 - 0.00438435960591134*x23*x31 - 
     0.0819102216748769*x23*x32 + 0.0156730295566502*x23*x33 + 
     0.00670701970443348*x23*x34 + 0.00362820197044332*x23*x35 + 
     0.000430911330049251*x23*x36 - 0.00542032019704427*x23*x37 + 
     0.000276847290640386*x23*x38 + 0.0104831280788177*x23*x39 - 
     7.29064039408853e-5*x23*x40 - 0.00296662561576353*x23*x41 - 
     0.00554285714285713*x23*x42 + 0.00736625615763547*x23*x43 - 
     0.0169262315270936*x23*x44 + 0.03468460591133*x23*x45 + 
     0.00148903940886699*x23*x46 - 0.00487955665024631*x23*x47 - 
     0.00090677339901478*x23*x48 - 0.00174556650246309*x23*x49 + 
     0.0159533251231527*x23*x50 + 0.0116325123152709*x23*x51 + 
     0.0419394088669951*x24*x24 + 0.0422104679802955*x24*x25 + 
     0.0374062807881773*x24*x26 + 0.0274174876847291*x24*x27 - 
     0.00189187192118228*x24*x28 + 0.0119305418719212*x24*x29 - 
     0.0193103448275862*x24*x30 + 0.00747229064039407*x24*x31 - 
     0.233229556650246*x24*x32 - 0.00192105911330048*x24*x33 + 
     0.00118596059113303*x24*x34 + 0.0131114532019703*x24*x35 + 
     0.0167274630541872*x24*x36 + 0.08259421182266*x24*x37 - 
     0.00014298029556655*x24*x38 - 0.0823733990147781*x24*x39 + 
     0.0728743842364532*x24*x40 - 0.00179174876847308*x24*x41 - 
     0.00478571428571425*x24*x42 + 0.0286174876847291*x24*x43 - 
     0.0218689655172415*x24*x44 - 0.0553192118226603*x24*x45 - 
     0.00427093596059114*x24*x46 + 0.00359482758620687*x24*x47 - 
     0.0028185960591133*x24*x48 - 0.056766009852217*x24*x49 + 
     0.0139397783251231*x24*x50 + 0.0296385467980296*x24*x51 + 1.28365049261084
     *x25*x25 + 0.0949695812807886*x25*x26 + 0.13778645320197*x25*x27 + 
     0.0027230295566504*x25*x28 - 0.126625369458128*x25*x29 + 0.248852832512316
     *x25*x30 + 0.139237561576355*x25*x31 + 0.402912684729066*x25*x32 + 
     0.584777832512315*x25*x33 + 0.108278078817734*x25*x34 + 0.695987807881775*
     x25*x35 + 0.0391272167487684*x25*x36 - 0.155552709359606*x25*x37 - 
     0.011878325123153*x25*x38 + 0.281311083743843*x25*x39 + 0.0983405172413795
     *x25*x40 + 0.056944211822661*x25*x41 - 0.0301999999999999*x25*x42 + 
     0.0438864532019708*x25*x43 + 0.321034359605912*x25*x44 + 0.462495566502463
     *x25*x45 - 0.00700455665024631*x25*x46 + 0.0312889162561577*x25*x47 + 
     0.00324076354679801*x25*x48 + 0.830328448275863*x25*x49 + 
     0.488666871921182*x25*x50 + 0.529690763546798*x25*x51 + 0.340645320197044*
     x26*x26 + 0.00955972906403946*x26*x27 + 0.262343103448276*x26*x28 + 
     0.034254064039409*x26*x29 - 0.0378883004926109*x26*x30 - 0.103441748768473
     *x26*x31 - 0.224957389162561*x26*x32 + 0.0499045566502462*x26*x33 + 
     0.0677304187192118*x26*x34 + 0.137130541871921*x26*x35 + 
     0.0228970443349753*x26*x36 - 0.149355911330049*x26*x37 - 
     0.00308128078817718*x26*x38 + 0.116270935960591*x26*x39 + 
     0.105250738916256*x26*x40 + 0.24696724137931*x26*x41 - 0.0386357142857142*
     x26*x42 - 0.0079438423645321*x26*x43 - 0.00271366995073873*x26*x44 + 
     0.0169737684729066*x26*x45 - 0.0015213054187192*x26*x46 - 
     0.00326736453201972*x26*x47 + 0.00346588669950738*x26*x48 + 
     0.10806921182266*x26*x49 - 0.0398927339901478*x26*x50 + 0.117551600985222*
     x26*x51 + 0.15114039408867*x27*x27 - 0.000695812807881429*x27*x28 - 
     0.0212773399014778*x27*x29 + 0.0474738916256158*x27*x30 - 
     0.0178847290640395*x27*x31 - 0.0739220443349749*x27*x32 - 
     0.107179679802956*x27*x33 + 0.0190671182266011*x27*x34 - 
     0.0159343596059115*x27*x35 + 0.0190676108374384*x27*x36 + 
     0.193778078817734*x27*x37 + 0.0100432266009851*x27*x38 - 0.047158374384236
     *x27*x39 - 0.0772874384236453*x27*x40 + 0.132257389162562*x27*x41 + 
     0.0146642857142857*x27*x42 + 0.0137975369458129*x27*x43 + 
     0.0123783251231527*x27*x44 - 0.031285221674877*x27*x45 - 
     0.00354790640394086*x27*x46 + 0.00767980295566499*x27*x47 + 
     0.00807721674876846*x27*x48 - 0.0424626847290637*x27*x49 + 
     0.0718663793103447*x27*x50 + 0.192709359605912*x27*x51 + 1.61812216748769*
     x28*x28 + 0.0486514778325123*x28*x29 + 0.105538669950739*x28*x30 - 
     0.240510960591133*x28*x31 + 2.02328497536946*x28*x32 + 0.700249384236453*
     x28*x33 + 0.0892055418719211*x28*x34 + 0.565498768472906*x28*x35 + 
     0.031058990147783*x28*x36 - 0.135782019704432*x28*x37 + 0.0724168719211823
     *x28*x38 + 0.300544950738916*x28*x39 + 0.0654986453201968*x28*x40 + 
     0.40697672413793*x28*x41 - 0.0389964285714284*x28*x42 + 0.073122044334975*
     x28*x43 + 0.166037561576355*x28*x44 + 0.686139162561576*x28*x45 + 
     0.0374967980295565*x28*x46 - 0.0243378078817735*x28*x47 + 
     0.0281405172413793*x28*x48 + 1.34104692118227*x28*x49 - 
     0.00167820197044306*x28*x50 + 1.15367623152709*x28*x51 + 
     0.0630100985221675*x29*x29 - 0.0105298029556651*x29*x30 - 
     0.0093254926108374*x29*x31 + 0.125055665024631*x29*x32 + 
     0.0229094827586208*x29*x33 - 0.0243389162561576*x29*x34 - 
     0.0373167487684729*x29*x35 + 0.00412869458128075*x29*x36 - 
     0.0933283251231531*x29*x37 - 0.00171268472906401*x29*x38 - 
     0.102860098522168*x29*x39 + 0.0561758620689657*x29*x40 + 
     0.0337320197044332*x29*x41 + 0.00742857142857142*x29*x42 + 
     0.0434440886699508*x29*x43 + 0.000153694581280794*x29*x44 + 
     0.00476403940886741*x29*x45 + 0.000197167487684699*x29*x46 + 
     0.00884581280788177*x29*x47 - 0.0071618226600985*x29*x48 - 
     0.0190597290640392*x29*x49 - 0.0430814039408867*x29*x50 + 
     0.0584953201970443*x29*x51 + 0.377697536945813*x30*x30 - 
     0.00054384236453206*x30*x31 + 0.951268472906402*x30*x32 + 
     0.460486822660098*x30*x33 + 0.0681185960591131*x30*x34 + 0.443448645320197
     *x30*x35 + 0.00327167487684727*x30*x36 - 0.000885221674876974*x30*x37 + 
     0.0221567733990147*x30*x38 - 0.0279309113300492*x30*x39 - 
     0.255780418719212*x30*x40 + 0.166574753694582*x30*x41 + 0.0383142857142857
     *x30*x42 + 0.0492060344827586*x30*x43 + 0.0766216748768474*x30*x44 + 
     0.450717364532019*x30*x45 - 0.00833066502463045*x30*x46 + 
     0.013145197044335*x30*x47 - 0.00890221674876848*x30*x48 + 
     0.625748399014778*x30*x49 + 0.135305049261084*x30*x50 + 0.598372783251232*
     x30*x51 + 0.286431034482759*x31*x31 - 0.0705390394088674*x31*x32 + 
     0.027538300492611*x31*x33 - 0.0373768472906404*x31*x34 + 0.162312315270936
     *x31*x35 - 0.00797918719211821*x31*x36 - 0.130383374384237*x31*x37 - 
     0.03503657635468*x31*x38 - 0.153442364532019*x31*x39 + 0.111520689655172*
     x31*x40 - 0.216395812807881*x31*x41 + 0.0229678571428571*x31*x42 + 
     0.0604616995073892*x31*x43 + 0.0629172413793103*x31*x44 + 
     0.300629802955665*x31*x45 - 0.0147929802955665*x31*x46 - 
     0.00014692118226601*x31*x47 - 0.00199088669950737*x31*x48 + 
     0.129352216748769*x31*x49 + 0.133114162561576*x31*x50 - 0.121240886699507*
     x31*x51 + 15.4825935960591*x32*x32 + 1.35106490147783*x32*x33 + 
     0.155915886699507*x32*x34 + 2.13346551724138*x32*x35 + 0.0164624384236453*
     x32*x36 - 1.12774298029557*x32*x37 - 0.0318811576354682*x32*x38 + 
     0.353897906403941*x32*x39 - 0.36230578817734*x32*x40 + 1.09845184729064*
     x32*x41 - 0.0341928571428573*x32*x42 + 0.112370812807881*x32*x43 + 
     1.06630172413793*x32*x44 + 1.49383940886699*x32*x45 + 3.53448275862234e-5*
     x32*x46 + 0.210109236453202*x32*x47 + 0.0523166256157636*x32*x48 + 
     4.04501736453202*x32*x49 - 0.228453940886699*x32*x50 + 3.83737733990148*
     x32*x51 + 3.2989118226601*x33*x33 + 0.139718596059113*x33*x34 + 
     1.78000578817734*x33*x35 - 0.0715176108374385*x33*x36 - 0.284245935960592*
     x33*x37 + 0.190181773399015*x33*x38 + 0.452401231527093*x33*x39 + 
     0.467480295566502*x33*x40 + 0.00687118226600923*x33*x41 - 
     0.0390750000000001*x33*x42 + 0.138520320197045*x33*x43 + 0.757593103448276
     *x33*x44 + 2.32773522167488*x33*x45 - 0.00769852216748763*x33*x46 + 
     0.0231094827586206*x33*x47 - 0.0512415024630542*x33*x48 + 2.31930554187192
     *x33*x49 + 0.394208620689655*x33*x50 + 1.33483706896552*x33*x51 + 
     0.207543349753695*x34*x34 + 0.149658620689655*x34*x35 - 
     0.00852364532019705*x34*x36 - 0.0501937192118221*x34*x37 + 
     0.0125426108374383*x34*x38 + 0.082149630541872*x34*x39 + 
     0.0140630541871921*x34*x40 + 0.0477843596059111*x34*x41 + 
     0.0271142857142858*x34*x42 + 0.0322635467980296*x34*x43 - 
     0.0915700738916257*x34*x44 + 0.301043719211822*x34*x45 - 
     0.0110454433497537*x34*x46 - 0.0106103448275863*x34*x47 + 
     0.00645209359605912*x34*x48 + 0.279025123152709*x34*x49 + 
     0.0813688423645321*x34*x50 + 0.262737807881773*x34*x51 + 2.20904014778325*
     x35*x35 - 0.0166137931034482*x35*x36 - 0.28408472906404*x35*x37 + 
     0.0165349753694577*x35*x38 - 0.071958251231527*x35*x39 + 0.169932019704434
     *x35*x40 + 0.0832709359605909*x35*x41 - 0.0738714285714285*x35*x42 + 
     0.120776354679803*x35*x43 + 0.587593349753695*x35*x44 + 2.12854901477833*
     x35*x45 - 0.0356113300492609*x35*x46 + 0.0390653940886698*x35*x47 - 
     0.0215472906403941*x35*x48 + 2.26583608374384*x35*x49 + 0.343006527093596*
     x35*x50 + 1.15981342364532*x35*x51 + 0.0250135467980295*x36*x36 + 
     0.067309236453202*x36*x37 - 0.00561317733990149*x36*x38 - 
     0.0284572660098522*x36*x39 + 0.0530019704433494*x36*x40 + 
     0.0493471674876846*x36*x41 + 0.00342857142857146*x36*x42 + 
     0.00527832512315266*x36*x43 - 0.030107881773399*x36*x44 - 
     0.098159236453202*x36*x45 - 0.000843719211822671*x36*x46 + 
     0.000207266009852251*x36*x47 + 0.00175307881773397*x36*x48 - 
     0.0232237684729066*x36*x49 + 0.0174169950738916*x36*x50 + 
     0.0716995073891622*x36*x51 + 1.40320418719212*x37*x37 - 
     0.00199778325123139*x37*x38 - 0.253664532019703*x37*x39 + 0.12968251231527
     *x37*x40 + 0.121533620689655*x37*x41 + 0.0129571428571431*x37*x42 - 
     0.117525492610837*x37*x43 - 0.0521371921182271*x37*x44 - 0.649847044334975
     *x37*x45 - 0.0218624384236451*x37*x46 - 0.0226568965517241*x37*x47 - 
     0.0160759852216748*x37*x48 - 0.425279679802956*x37*x49 - 
     0.00588029556650275*x37*x50 - 0.113583128078817*x37*x51 + 
     0.0777394088669951*x38*x38 + 0.0377948275862073*x38*x39 - 
     0.0285065270935963*x38*x40 - 0.0368011083743839*x38*x41 - 
     0.0107107142857143*x38*x42 - 0.00132463054187203*x38*x43 + 
     0.000151108374384477*x38*x44 + 0.058912068965517*x38*x45 - 
     0.000789778325123098*x38*x46 - 0.000891256157635458*x38*x47 + 
     0.00560431034482757*x38*x48 + 0.0436338669950738*x38*x49 + 
     0.0196280788177339*x38*x50 + 0.185393596059113*x38*x51 + 1.67503866995074*
     x39*x39 - 0.367372290640393*x39*x40 + 0.413975123152709*x39*x41 - 
     0.0562821428571427*x39*x42 - 0.169001231527094*x39*x43 - 0.106821551724138
     *x39*x44 - 0.0796783251231542*x39*x45 + 0.0162206896551723*x39*x46 - 
     0.0327029556650246*x39*x47 + 0.0119225369458129*x39*x48 + 
     0.369245443349753*x39*x49 + 0.0587778325123157*x39*x50 + 0.378004679802956
     *x39*x51 + 1.8209066502463*x40*x40 - 0.276744827586207*x40*x41 + 
     0.0234250000000002*x40*x42 + 0.210412561576355*x40*x43 + 0.331612684729064
     *x40*x44 + 0.333635344827585*x40*x45 - 0.00608817733990161*x40*x46 + 
     0.000783004926108468*x40*x47 + 0.00510012315270934*x40*x48 + 
     0.36697290640394*x40*x49 + 0.0883689655172414*x40*x50 - 0.279085591133005*
     x40*x51 + 0.867384975369458*x41*x41 + 0.0879821428571429*x41*x42 - 
     0.0123461822660102*x41*x43 + 0.0613293103448281*x41*x44 - 
     0.0873979064039402*x41*x45 + 0.00750800492610842*x41*x46 + 
     0.0387784482758621*x41*x47 + 0.00606834975369459*x41*x48 + 
     0.400759482758621*x41*x49 - 0.043170566502463*x41*x50 + 0.628500492610837*
     x41*x51 + 0.114242857142857*x42*x42 + 0.0449607142857143*x42*x43 - 
     0.00898571428571443*x42*x44 + 0.0850071428571426*x42*x45 - 
     0.00258214285714284*x42*x46 + 0.0182321428571428*x42*x47 + 
     0.00829285714285715*x42*x48 + 0.0186892857142856*x42*x49 + 
     0.0144642857142857*x42*x50 - 0.00126428571428567*x42*x51 + 
     0.17984039408867*x43*x43 + 0.0569640394088667*x43*x44 + 0.294600492610837*
     x43*x45 + 0.00311280788177337*x43*x46 + 0.0203833743842364*x43*x47 + 
     0.000266502463054162*x43*x48 + 0.261708743842364*x43*x49 + 
     0.0702520935960593*x43*x50 + 0.139827216748769*x43*x51 + 1.05286354679803*
     x44*x44 + 0.873405049261083*x44*x45 + 0.00708485221674877*x44*x46 + 
     0.0899715517241378*x44*x47 + 0.00444593596059117*x44*x48 + 
     1.04107266009852*x44*x49 + 0.15136342364532*x44*x50 + 0.0866995073891632*
     x44*x51 + 4.36525418719212*x45*x45 - 0.0308947044334975*x45*x46 + 
     0.0631211822660097*x45*x47 + 0.0148009852216749*x45*x48 + 2.99897253694581
     *x45*x49 + 0.630058866995074*x45*x50 + 1.16916169950739*x45*x51 + 
     0.00812339901477831*x46*x46 - 0.000952832512315239*x46*x47 + 
     0.00168633004926109*x46*x48 - 0.0135568965517242*x46*x49 - 
     0.0114016009852217*x46*x50 - 0.0142493842364532*x46*x51 + 
     0.0271386699507389*x47*x47 + 0.0015274630541872*x47*x48 + 
     0.0688188423645319*x47*x49 - 0.00118854679802959*x47*x50 + 
     0.0363560344827585*x47*x51 + 0.00914014778325123*x48*x48 + 
     0.00443177339901483*x48*x49 - 0.00215652709359608*x48*x50 + 
     0.0113401477832512*x48*x51 + 3.66250270935961*x49*x49 + 0.537814532019705*
     x49*x50 + 1.93642820197044*x49*x51 + 0.397459113300492*x50*x50 + 
     0.372629187192119*x50*x51 + 2.79586157635468*x51*x51 + 0.0256821428571429*
     x3*x2 + 0.0167714285714286*x4*x2 + 0.0864747536945814*x4*x3 + 
     0.00449999999999996*x5*x2 + 0.121961699507389*x5*x3 + 0.278456650246305*x5
     *x4 + 0.00575357142857144*x6*x2 + 0.020425*x6*x3 + 0.0208750000000001*x6*
     x4 - 0.00209642857142841*x6*x5 + 0.115021428571429*x7*x2 + 
     0.128937068965517*x7*x3 + 0.106618965517241*x7*x4 + 0.126252709359605*x7*
     x5 - 0.024932142857143*x7*x6 + 0.00735714285714283*x8*x2 + 
     0.0036791871921183*x8*x3 - 0.00496280788177331*x8*x4 - 0.00305948275862055
     *x8*x5 + 4.28571428571879e-5*x8*x6 + 0.0535811576354682*x8*x7 - 
     0.0229500000000001*x9*x2 + 0.151099137931034*x9*x3 + 0.214316502463054*x9*
     x4 + 0.375462561576354*x9*x5 + 0.0473035714285714*x9*x6 + 
     0.120341379310345*x9*x7 - 0.00234482758620676*x9*x8 + 0.0339500000000001*
     x10*x2 + 0.171092857142857*x10*x3 + 0.231428571428571*x10*x4 + 
     0.359710714285715*x10*x5 + 0.0590857142857142*x10*x6 + 0.371828571428572*
     x10*x7 + 0.0145392857142858*x10*x8 + 0.309753571428571*x10*x9 + 0.018975*
     x11*x2 + 0.135329679802956*x11*x3 + 0.166619088669951*x11*x4 + 
     0.183223645320197*x11*x5 + 0.0482607142857143*x11*x6 + 0.679686083743842*
     x11*x7 - 0.0037852216748769*x11*x8 + 0.250797167487685*x11*x9 + 
     0.170496428571429*x11*x10 + 0.01125*x12*x2 + 0.0158374384236453*x12*x3 - 
     0.0254401477832511*x12*x4 - 0.0363608374384235*x12*x5 + 0.0147999999999999
     *x12*x6 + 0.032145812807882*x12*x7 + 0.00633965517241377*x12*x8 + 
     0.020077339901478*x12*x9 + 0.0432607142857136*x12*x10 - 0.0243871921182265
     *x12*x11 - 0.0128107142857142*x13*x2 + 0.0422906403940887*x13*x3 + 
     0.0427368226600984*x13*x4 + 0.0706527093596062*x13*x5 - 0.0222107142857143
     *x13*x6 - 0.291779310344828*x13*x7 - 0.0141545566502463*x13*x8 + 
     0.148602093596059*x13*x9 + 0.0769642857142854*x13*x10 - 0.102678201970444*
     x13*x11 + 0.0235529556650246*x13*x12 - 0.0135821428571429*x14*x2 - 
     0.0430443349753695*x14*x3 + 0.0497257389162564*x14*x4 + 0.048939901477833*
     x14*x5 - 0.0246214285714288*x14*x6 - 0.192257635467981*x14*x7 - 
     0.00886970443349746*x14*x8 - 0.0549795566502462*x14*x9 - 
     0.0775892857142863*x14*x10 + 0.0568895320197041*x14*x11 + 
     0.0174841133004926*x14*x12 + 0.00477807881773399*x14*x13 + 
     0.0136035714285715*x15*x2 + 0.0419793103448276*x15*x3 + 0.0194710591133005
     *x15*x4 + 0.0146729064039407*x15*x5 + 0.00818928571428569*x15*x6 + 
     0.105210960591133*x15*x7 - 0.00721157635467979*x15*x8 + 0.0287504926108374
     *x15*x9 + 0.0466714285714287*x15*x10 + 0.147128448275862*x15*x11 - 
     0.0020509852216749*x15*x12 - 0.0191104679802956*x15*x13 + 
     0.0590870689655173*x15*x14 + 0.121382142857143*x16*x2 + 0.205994334975369*
     x16*x3 + 0.0505421182266006*x16*x4 + 0.135002955665025*x16*x5 + 
     0.131407142857143*x16*x6 + 0.924461206896551*x16*x7 + 0.0117161330049265*
     x16*x8 - 0.190027586206898*x16*x9 + 0.388192857142857*x16*x10 + 
     0.000760467980295784*x16*x11 + 0.0372444581280779*x16*x12 - 
     0.291431650246306*x16*x13 - 0.372408004926109*x16*x14 + 0.032698645320197*
     x16*x15 + 0.0245428571428572*x17*x2 + 0.0732357142857143*x17*x3 + 
     0.00272500000000001*x17*x4 + 0.0843892857142859*x17*x5 + 
     0.0307321428571429*x17*x6 + 0.0759392857142857*x17*x7 + 0.0151607142857144
     *x17*x8 + 0.0971999999999999*x17*x9 + 0.109728571428572*x17*x10 + 
     0.0156892857142856*x17*x11 + 0.0358249999999997*x17*x12 - 
     0.0235714285714283*x17*x13 - 0.102935714285714*x17*x14 - 
     0.0245678571428571*x17*x15 + 0.167521428571429*x17*x16 - 
     0.000492857142857131*x18*x2 + 0.085480541871921*x18*x3 + 
     0.0587525862068962*x18*x4 + 0.0319467980295566*x18*x5 + 0.0108928571428571
     *x18*x6 + 0.150344704433498*x18*x7 - 0.0162939655172412*x18*x8 + 
     0.104489408866994*x18*x9 + 0.0391535714285715*x18*x10 + 0.154547290640394*
     x18*x11 - 0.000539532019704236*x18*x12 + 0.0322447044334974*x18*x13 + 
     0.127629802955665*x18*x14 + 0.0661493842364531*x18*x15 + 0.055902339901478
     *x18*x16 - 0.00556428571428521*x18*x17 + 0.00890714285714287*x19*x2 + 
     0.0426789408866994*x19*x3 - 0.00095554187192125*x19*x4 + 
     0.0181043103448275*x19*x5 - 0.0148214285714286*x19*x6 + 0.176250123152709*
     x19*x7 + 0.00202992610837438*x19*x8 + 0.0570109605911329*x19*x9 + 
     0.0459357142857143*x19*x10 + 0.0261981527093597*x19*x11 + 
     0.0001102216748769*x19*x12 + 0.0163179802955665*x19*x13 - 
     0.0267118226600984*x19*x14 + 0.010995197044335*x19*x15 + 
     0.0743011083743842*x19*x16 - 0.0205857142857142*x19*x17 + 
     0.0473193349753694*x19*x18 + 0.00278928571428574*x20*x2 + 
     0.00786342364532027*x20*x3 + 0.148952216748769*x20*x4 + 0.129191133004926*
     x20*x5 + 0.00149642857142861*x20*x6 + 0.255748522167487*x20*x7 + 
     0.00387302955665028*x20*x8 + 0.133125615763547*x20*x9 + 0.136989285714285*
     x20*x10 + 0.121472167487684*x20*x11 - 0.00235837438423649*x20*x12 + 
     0.0509913793103449*x20*x13 + 0.0321383004926109*x20*x14 + 
     0.0206362068965516*x20*x15 - 0.132463300492611*x20*x16 - 
     0.0152964285714285*x20*x17 - 0.00312130541871927*x20*x18 - 
     0.0176497536945813*x20*x19 - 0.00705357142857148*x21*x2 - 
     0.0417923645320198*x21*x3 - 0.0582609605911333*x21*x4 - 0.0415168719211819
     *x21*x5 + 0.0461321428571428*x21*x6 + 0.0226584975369455*x21*x7 - 
     0.0105029556650247*x21*x8 - 0.00837586206896572*x21*x9 + 0.123982142857143
     *x21*x10 - 0.0575774630541868*x21*x11 - 0.0170339901477834*x21*x12 - 
     0.156012931034483*x21*x13 - 0.138526477832512*x21*x14 - 
     0.00431711822660098*x21*x15 + 0.799087192118227*x21*x16 + 
     0.0280285714285713*x21*x17 - 0.00945517241379319*x21*x18 + 
     0.0356217980295566*x21*x19 - 0.105043719211823*x21*x20 + 
     0.00964285714285709*x22*x2 + 0.156218965517241*x22*x3 - 0.0512844827586212
     *x22*x4 + 0.0884450738916258*x22*x5 - 0.00774642857142884*x22*x6 + 
     0.889289655172415*x22*x7 + 0.0417290640394088*x22*x8 + 0.265997167487684*
     x22*x9 + 0.142475*x22*x10 + 0.124190886699507*x22*x11 + 0.0708985221674883
     *x22*x12 + 0.264643226600985*x22*x13 + 0.0462431034482759*x22*x14 + 
     0.0806141625615762*x22*x15 - 0.494507389162561*x22*x16 + 
     0.0616535714285723*x22*x17 + 0.213433004926109*x22*x18 + 
     0.0993910098522167*x22*x19 + 0.031982881773399*x22*x20 - 0.175852463054187
     *x22*x21 + 0.00108214285714287*x23*x2 - 0.00528940886699508*x23*x3 + 
     0.00180541871921182*x23*x4 + 0.00589618226600983*x23*x5 - 
     0.00222142857142858*x23*x6 + 0.016695197044335*x23*x7 + 
     0.000711453201970449*x23*x8 - 0.0036881773399015*x23*x9 - 
     0.00173928571428579*x23*x10 - 0.0143886699507389*x23*x11 + 
     0.000637068965517218*x23*x12 + 0.00568805418719212*x23*x13 + 
     0.0114753694581281*x23*x14 - 0.00163054187192118*x23*x15 + 
     0.0332174876847291*x23*x16 - 0.007425*x23*x17 + 0.000935221674876832*x23*
     x18 + 0.00573830049261083*x23*x19 - 0.00129532019704432*x23*x20 + 
     0.0131034482758621*x23*x21 + 0.00535775862068969*x23*x22 + 
     0.00479642857142854*x24*x2 - 0.016889039408867*x24*x3 - 0.0117965517241379
     *x24*x4 + 0.0177647783251231*x24*x5 - 0.0168178571428571*x24*x6 + 
     0.0532131773399015*x24*x7 + 0.0107306650246305*x24*x8 - 0.0476415024630542
     *x24*x9 - 0.0199*x24*x10 - 0.0157619458128079*x24*x11 - 
     0.00133485221674884*x24*x12 + 0.00425960591133004*x24*x13 + 
     0.0133064039408867*x24*x14 - 0.0031889162561576*x24*x15 + 
     0.0425971674876848*x24*x16 + 0.0248321428571429*x24*x17 + 
     0.0035188423645322*x24*x18 - 0.00867302955665026*x24*x19 + 
     0.0105834975369458*x24*x20 - 0.0390354679802956*x24*x21 + 
     0.0354237684729065*x24*x22 + 0.000508866995073885*x24*x23 + 
     0.0160785714285713*x25*x2 - 0.128986206896552*x25*x3 - 0.0269211822660092*
     x25*x4 - 0.226704556650246*x25*x5 + 0.0336714285714286*x25*x6 + 
     0.240927216748769*x25*x7 + 0.0589350985221674*x25*x8 - 0.233052709359606*
     x25*x9 - 0.0579214285714287*x25*x10 + 0.203488177339902*x25*x11 + 
     0.0165161330049259*x25*x12 - 0.306397783251232*x25*x13 + 0.334655049261084
     *x25*x14 + 0.125602832512315*x25*x15 - 0.0152264778325116*x25*x16 - 
     0.0324285714285716*x25*x17 + 0.0723551724137936*x25*x18 - 
     0.0246539408866996*x25*x19 + 0.0309115763546799*x25*x20 + 
     0.113981650246305*x25*x21 + 0.102806034482758*x25*x22 + 
     0.00984298029556642*x25*x23 + 0.0422104679802955*x25*x24 + 
     0.00421785714285711*x26*x2 - 0.00838743842364517*x26*x3 - 
     0.00298842364532039*x26*x4 + 0.129321551724138*x26*x5 + 0.0341285714285714
     *x26*x6 + 0.00546847290640407*x26*x7 + 0.00509605911330054*x26*x8 + 
     0.019497660098522*x26*x9 + 0.0597750000000001*x26*x10 + 0.0377764778325126
     *x26*x11 - 0.00802032019704425*x26*x12 - 0.0816779556650247*x26*x13 + 
     0.0230587438423642*x26*x14 + 0.0600116995073893*x26*x15 + 
     0.460255541871921*x26*x16 - 0.0236321428571427*x26*x17 + 
     0.0313109605911329*x26*x18 - 0.0129816502463054*x26*x19 - 
     0.0205737684729065*x26*x20 + 0.121408990147783*x26*x21 - 
     0.0991378078817729*x26*x22 + 0.00118793103448276*x26*x23 + 
     0.0374062807881773*x26*x24 + 0.0949695812807886*x26*x25 + 
     0.00810000000000001*x27*x2 - 0.00495073891625612*x27*x3 + 
     0.00254322660098542*x27*x4 - 0.00780147783251217*x27*x5 - 0.026625*x27*x6
      + 0.154489039408867*x27*x7 + 0.0140330049261084*x27*x8 - 
     0.0543040640394086*x27*x9 + 0.0025714285714286*x27*x10 + 0.061364408866995
     *x27*x11 + 0.00599741379310337*x27*x12 - 0.00524310344827576*x27*x13 + 
     0.110577216748768*x27*x14 + 0.0449846059113301*x27*x15 + 
     0.0660406403940888*x27*x16 - 0.0185964285714285*x27*x17 - 
     0.00781366995073879*x27*x18 - 0.0248737684729064*x27*x19 + 
     0.0250495073891626*x27*x20 - 0.0479793103448276*x27*x21 + 
     0.130446551724138*x27*x22 + 0.00310197044334977*x27*x23 + 
     0.0274174876847291*x27*x24 + 0.13778645320197*x27*x25 + 
     0.00955972906403946*x27*x26 + 0.0635714285714284*x28*x2 + 
     0.299830541871921*x28*x3 + 0.308599014778325*x28*x4 + 0.6451539408867*x28*
     x5 + 0.0619642857142856*x28*x6 + 0.0912839901477837*x28*x7 + 
     0.0145167487684732*x28*x8 + 0.365735837438423*x28*x9 + 0.319196428571429*
     x28*x10 + 0.292472290640394*x28*x11 - 0.036068103448275*x28*x12 + 
     0.0261947044334977*x28*x13 + 0.00586194581280804*x28*x14 + 
     0.0769672413793103*x28*x15 + 0.895498768472907*x28*x16 + 
     0.0652892857142864*x28*x17 + 0.244682881773398*x28*x18 + 
     0.0884943349753694*x28*x19 + 0.034596551724138*x28*x20 + 0.123794827586207
     *x28*x21 + 0.40611157635468*x28*x22 + 0.00251379310344828*x28*x23 - 
     0.00189187192118228*x28*x24 + 0.0027230295566504*x28*x25 + 
     0.262343103448276*x28*x26 - 0.000695812807881429*x28*x27 - 
     0.00162142857142863*x29*x2 + 0.0162682266009851*x29*x3 - 
     0.0191912561576357*x29*x4 + 0.075557881773399*x29*x5 - 0.00673928571428572
     *x29*x6 + 0.0264786945812807*x29*x7 - 0.00476650246305416*x29*x8 + 
     0.0382823891625617*x29*x9 + 0.0115642857142857*x29*x10 + 
     0.00657672413793102*x29*x11 - 0.0125183497536946*x29*x12 + 
     0.0376108374384236*x29*x13 - 0.0260796798029557*x29*x14 + 
     0.0120666256157635*x29*x15 + 0.0176261083743843*x29*x16 + 
     0.00119999999999999*x29*x17 + 0.0339907635467979*x29*x18 + 
     0.0154136699507389*x29*x19 + 0.00523238916256158*x29*x20 - 
     0.00226034482758607*x29*x21 + 0.0567338669950738*x29*x22 + 
     5.97290640394066e-5*x29*x23 + 0.0119305418719212*x29*x24 - 
     0.126625369458128*x29*x25 + 0.034254064039409*x29*x26 - 0.0212773399014778
     *x29*x27 + 0.0486514778325123*x29*x28 + 0.0246857142857143*x30*x2 + 
     0.073925738916256*x30*x3 - 0.0641467980295562*x30*x4 - 0.0650663793103451*
     x30*x5 + 0.0371464285714285*x30*x6 + 0.535050246305418*x30*x7 + 
     0.0270312807881774*x30*x8 + 0.0979469211822659*x30*x9 - 0.0419678571428571
     *x30*x10 + 0.227835591133005*x30*x11 + 0.0209525862068966*x30*x12 - 
     0.0996568965517242*x30*x13 - 0.0446022167487685*x30*x14 + 
     0.0698403940886699*x30*x15 + 0.112666502463054*x30*x16 + 
     0.0630321428571428*x30*x17 + 0.019745812807882*x30*x18 + 
     0.0334701970443349*x30*x19 - 0.00377807881773411*x30*x20 + 
     0.015525738916256*x30*x21 + 0.263382019704433*x30*x22 + 0.0028408866995074
     *x30*x23 - 0.0193103448275862*x30*x24 + 0.248852832512316*x30*x25 - 
     0.0378883004926109*x30*x26 + 0.0474738916256158*x30*x27 + 
     0.105538669950739*x30*x28 - 0.0105298029556651*x30*x29 - 
     0.0173428571428572*x31*x2 - 0.124098275862069*x31*x3 - 0.0803294334975367*
     x31*x4 - 0.160514408866995*x31*x5 - 0.0253142857142857*x31*x6 - 
     0.0650291871921183*x31*x7 + 0.00778251231527084*x31*x8 - 0.159022660098522
     *x31*x9 - 0.109617857142857*x31*x10 - 0.0795014778325124*x31*x11 - 
     0.0182618226600983*x31*x12 - 0.0323184729064039*x31*x13 - 
     0.0200123152709358*x31*x14 - 0.0641795566502463*x31*x15 - 
     0.404330541871921*x31*x16 - 0.0801107142857146*x31*x17 - 
     0.0815288177339898*x31*x18 - 0.00964334975369458*x31*x19 - 
     0.00367623152709363*x31*x20 + 0.00795529556650248*x31*x21 - 
     0.0380943349753697*x31*x22 - 0.00438435960591134*x31*x23 + 
     0.00747229064039407*x31*x24 + 0.139237561576355*x31*x25 - 
     0.103441748768473*x31*x26 - 0.0178847290640395*x31*x27 - 0.240510960591133
     *x31*x28 - 0.0093254926108374*x31*x29 - 0.00054384236453206*x31*x30 + 
     0.212957142857143*x32*x2 + 0.64849802955665*x32*x3 + 0.707697413793104*x32
     *x4 + 0.644871059113304*x32*x5 + 0.231007142857143*x32*x6 + 
     1.22684100985222*x32*x7 + 0.0470796798029563*x32*x8 + 1.67176416256158*x32
     *x9 + 1.28714285714286*x32*x10 + 1.39005270935961*x32*x11 + 
     0.12347881773399*x32*x12 - 0.116394704433497*x32*x13 - 0.37894408866995*
     x32*x14 + 0.38718275862069*x32*x15 + 0.52246908866995*x32*x16 + 
     0.486471428571429*x32*x17 + 0.335206403940885*x32*x18 + 0.14173066502463*
     x32*x19 + 0.743553448275861*x32*x20 + 0.36064445812808*x32*x21 + 
     0.479602709359603*x32*x22 - 0.0819102216748769*x32*x23 - 0.233229556650246
     *x32*x24 + 0.402912684729066*x32*x25 - 0.224957389162561*x32*x26 - 
     0.0739220443349749*x32*x27 + 2.02328497536946*x32*x28 + 0.125055665024631*
     x32*x29 + 0.951268472906402*x32*x30 - 0.0705390394088674*x32*x31 + 
     0.0971249999999998*x33*x2 + 0.11841145320197*x33*x3 - 0.0783682266009842*
     x33*x4 + 0.0157300492610857*x33*x5 + 0.107235714285714*x33*x6 + 
     1.18731810344827*x33*x7 + 0.11383842364532*x33*x8 - 0.0660530788177339*x33
     *x9 + 0.151585714285713*x33*x10 + 0.0389713054187185*x33*x11 + 
     0.0603633004926109*x33*x12 - 0.25882118226601*x33*x13 - 0.132127216748769*
     x33*x14 - 0.0686203201970445*x33*x15 + 1.4484486453202*x33*x16 + 
     0.137678571428572*x33*x17 + 0.0755208128078822*x33*x18 + 0.130630911330049
     *x33*x19 - 0.0645137931034483*x33*x20 + 0.318697167487684*x33*x21 + 
     0.344821305418719*x33*x22 + 0.0156730295566502*x33*x23 - 
     0.00192105911330048*x33*x24 + 0.584777832512315*x33*x25 + 
     0.0499045566502462*x33*x26 - 0.107179679802956*x33*x27 + 0.700249384236453
     *x33*x28 + 0.0229094827586208*x33*x29 + 0.460486822660098*x33*x30 + 
     0.027538300492611*x33*x31 + 1.35106490147783*x33*x32 + 0.0128321428571428*
     x34*x2 + 0.0207647783251233*x34*x3 - 0.00213596059113295*x34*x4 + 
     0.0459474137931038*x34*x5 + 0.0157464285714284*x34*x6 + 0.252390640394089*
     x34*x7 + 0.0194541871921182*x34*x8 + 0.146806280788177*x34*x9 + 
     0.137478571428572*x34*x10 + 0.05999039408867*x34*x11 + 0.0461017241379309*
     x34*x12 + 0.0131834975369459*x34*x13 + 0.0315020935960588*x34*x14 + 
     0.0150257389162562*x34*x15 + 0.102937192118227*x34*x16 - 
     0.0109071428571427*x34*x17 + 0.0387698275862068*x34*x18 + 
     0.0419896551724138*x34*x19 + 0.00339199507389168*x34*x20 + 
     0.0428826354679803*x34*x21 + 0.121376108374384*x34*x22 + 
     0.00670701970443348*x34*x23 + 0.00118596059113303*x34*x24 + 
     0.108278078817734*x34*x25 + 0.0677304187192118*x34*x26 + 
     0.0190671182266011*x34*x27 + 0.0892055418719211*x34*x28 - 
     0.0243389162561576*x34*x29 + 0.0681185960591131*x34*x30 - 
     0.0373768472906404*x34*x31 + 0.155915886699507*x34*x32 + 0.139718596059113
     *x34*x33 + 0.0633071428571426*x35*x2 + 0.0380407635467979*x35*x3 - 
     0.158436453201969*x35*x4 - 0.206882758620689*x35*x5 + 0.047357142857143*
     x35*x6 + 0.605071921182266*x35*x7 + 0.0714268472906406*x35*x8 + 
     0.00264027093596037*x35*x9 + 0.0300428571428567*x35*x10 + 
     0.061517610837439*x35*x11 + 0.0803373152709364*x35*x12 - 0.196006650246305
     *x35*x13 - 0.143297290640394*x35*x14 - 0.0194692118226601*x35*x15 + 
     0.55256157635468*x35*x16 + 0.10665*x35*x17 - 0.0379583743842361*x35*x18 + 
     0.0560546798029557*x35*x19 - 0.00390258620689654*x35*x20 + 
     0.120612192118226*x35*x21 + 0.238714039408867*x35*x22 + 
     0.00362820197044332*x35*x23 + 0.0131114532019703*x35*x24 + 
     0.695987807881775*x35*x25 + 0.137130541871921*x35*x26 - 0.0159343596059115
     *x35*x27 + 0.565498768472906*x35*x28 - 0.0373167487684729*x35*x29 + 
     0.443448645320197*x35*x30 + 0.162312315270936*x35*x31 + 2.13346551724138*
     x35*x32 + 1.78000578817734*x35*x33 + 0.149658620689655*x35*x34 + 
     0.00425000000000001*x36*x2 + 0.00880849753694576*x36*x3 + 
     0.0290546798029556*x36*x4 + 0.00288485221674858*x36*x5 - 
     0.00147142857142863*x36*x6 + 0.0689349753694581*x36*x7 + 
     0.00314187192118225*x36*x8 + 0.00509852216748764*x36*x9 - 
     0.00586785714285728*x36*x10 + 0.036675369458128*x36*x11 - 
     0.000443472906403916*x36*x12 + 0.0100278325123152*x36*x13 + 
     0.0246102216748768*x36*x14 + 0.0207145320197044*x36*x15 - 
     0.0152030788177343*x36*x16 + 0.000757142857142891*x36*x17 + 
     0.0261054187192118*x36*x18 - 0.00354987684729066*x36*x19 + 
     0.0265735221674877*x36*x20 - 0.0457736453201971*x36*x21 + 
     0.0566039408866993*x36*x22 + 0.000430911330049251*x36*x23 + 
     0.0167274630541872*x36*x24 + 0.0391272167487684*x36*x25 + 
     0.0228970443349753*x36*x26 + 0.0190676108374384*x36*x27 + 
     0.031058990147783*x36*x28 + 0.00412869458128075*x36*x29 + 
     0.00327167487684727*x36*x30 - 0.00797918719211821*x36*x31 + 
     0.0164624384236453*x36*x32 - 0.0715176108374385*x36*x33 - 
     0.00852364532019705*x36*x34 - 0.0166137931034482*x36*x35 + 
     0.0718178571428574*x37*x2 + 0.121545566502463*x37*x3 + 0.141398645320198*
     x37*x4 - 0.0931160098522166*x37*x5 - 0.0316035714285714*x37*x6 + 
     0.435502093596058*x37*x7 + 0.00668731527093612*x37*x8 - 0.269374384236452*
     x37*x9 - 0.0580142857142858*x37*x10 + 0.0733185960591124*x37*x11 + 
     0.059223768472906*x37*x12 + 0.0899663793103448*x37*x13 + 0.147745443349753
     *x37*x14 - 0.012228078817734*x37*x15 + 0.0942795566502461*x37*x16 + 
     0.125421428571429*x37*x17 - 0.0347498768472897*x37*x18 - 
     0.0845104679802952*x37*x19 + 0.0899970443349752*x37*x20 - 
     0.517465147783251*x37*x21 + 0.0136328817733996*x37*x22 - 
     0.00542032019704427*x37*x23 + 0.08259421182266*x37*x24 - 0.155552709359606
     *x37*x25 - 0.149355911330049*x37*x26 + 0.193778078817734*x37*x27 - 
     0.135782019704432*x37*x28 - 0.0933283251231531*x37*x29 - 
     0.000885221674876974*x37*x30 - 0.130383374384237*x37*x31 - 
     1.12774298029557*x37*x32 - 0.284245935960592*x37*x33 - 0.0501937192118221*
     x37*x34 - 0.28408472906404*x37*x35 + 0.067309236453202*x37*x36 + 
     0.00535714285714283*x38*x2 + 0.0480818965517241*x38*x3 - 
     0.000417733990147721*x38*x4 + 0.0685923645320195*x38*x5 + 
     0.00111428571428573*x38*x6 + 0.0892511083743847*x38*x7 + 
     0.0237729064039408*x38*x8 + 0.0230165024630542*x38*x9 + 0.0449571428571425
     *x38*x10 - 0.00963091133004923*x38*x11 + 0.0119669950738915*x38*x12 - 
     0.0253203201970445*x38*x13 - 0.0140278325123154*x38*x14 - 
     0.0192896551724137*x38*x15 + 0.160584975369458*x38*x16 + 
     0.0426392857142857*x38*x17 - 0.00803312807881763*x38*x18 + 
     0.0129766009852217*x38*x19 - 0.0261799261083744*x38*x20 + 
     0.0362533251231528*x38*x21 + 0.0724690886699503*x38*x22 + 
     0.000276847290640386*x38*x23 - 0.00014298029556655*x38*x24 - 
     0.011878325123153*x38*x25 - 0.00308128078817718*x38*x26 + 
     0.0100432266009851*x38*x27 + 0.0724168719211823*x38*x28 - 
     0.00171268472906401*x38*x29 + 0.0221567733990147*x38*x30 - 
     0.03503657635468*x38*x31 - 0.0318811576354682*x38*x32 + 0.190181773399015*
     x38*x33 + 0.0125426108374383*x38*x34 + 0.0165349753694577*x38*x35 - 
     0.00561317733990149*x38*x36 - 0.00199778325123139*x38*x37 + 
     0.00418928571428584*x39*x2 - 0.00845394088669949*x39*x3 + 
     0.336612684729064*x39*x4 + 0.457774261083743*x39*x5 + 0.135357142857143*
     x39*x6 - 0.365085837438424*x39*x7 + 0.0111736453201973*x39*x8 + 
     0.396249753694581*x39*x9 + 0.41145*x39*x10 + 0.105305418719212*x39*x11 - 
     0.00229950738916232*x39*x12 - 0.0861144088669946*x39*x13 + 
     0.0954796798029553*x39*x14 + 0.0281262315270934*x39*x15 + 
     0.183288177339901*x39*x16 + 0.0909821428571425*x39*x17 - 0.117876477832513
     *x39*x18 - 0.0455600985221677*x39*x19 + 0.0731283251231531*x39*x20 + 
     0.192410344827586*x39*x21 - 0.336951724137931*x39*x22 + 0.0104831280788177
     *x39*x23 - 0.0823733990147781*x39*x24 + 0.281311083743843*x39*x25 + 
     0.116270935960591*x39*x26 - 0.047158374384236*x39*x27 + 0.300544950738916*
     x39*x28 - 0.102860098522168*x39*x29 - 0.0279309113300492*x39*x30 - 
     0.153442364532019*x39*x31 + 0.353897906403941*x39*x32 + 0.452401231527093*
     x39*x33 + 0.082149630541872*x39*x34 - 0.071958251231527*x39*x35 - 
     0.0284572660098522*x39*x36 - 0.253664532019703*x39*x37 + 
     0.0377948275862073*x39*x38 + 0.00089285714285711*x40*x2 - 
     0.0320119458128077*x40*x3 + 0.0719899014778327*x40*x4 - 0.0331846059113289
     *x40*x5 + 0.0209464285714286*x40*x6 + 0.0924876847290629*x40*x7 + 
     0.00395738916256162*x40*x8 - 0.183688916256158*x40*x9 + 0.0784928571428565
     *x40*x10 - 0.0672366995073899*x40*x11 + 0.0402099753694581*x40*x12 + 
     0.134719827586207*x40*x13 + 0.153867980295567*x40*x14 - 0.0423947044334975
     *x40*x15 + 0.483907019704434*x40*x16 - 0.277285714285714*x40*x17 + 
     0.123884359605912*x40*x18 + 0.0478651477832512*x40*x19 + 0.178121798029557
     *x40*x20 - 0.273808374384236*x40*x21 - 0.00367241379310289*x40*x22 - 
     7.29064039408853e-5*x40*x23 + 0.0728743842364532*x40*x24 + 
     0.0983405172413795*x40*x25 + 0.105250738916256*x40*x26 - 
     0.0772874384236453*x40*x27 + 0.0654986453201968*x40*x28 + 
     0.0561758620689657*x40*x29 - 0.255780418719212*x40*x30 + 0.111520689655172
     *x40*x31 - 0.36230578817734*x40*x32 + 0.467480295566502*x40*x33 + 
     0.0140630541871921*x40*x34 + 0.169932019704434*x40*x35 + 
     0.0530019704433494*x40*x36 + 0.12968251231527*x40*x37 - 0.0285065270935963
     *x40*x38 - 0.367372290640393*x40*x39 + 0.0460857142857143*x41*x2 + 
     0.123291502463054*x41*x3 + 0.17665960591133*x41*x4 + 0.199861576354679*x41
     *x5 + 0.0708714285714286*x41*x6 + 0.0610221674876854*x41*x7 - 
     0.0128168719211822*x41*x8 + 0.282222906403941*x41*x9 + 0.149778571428572*
     x41*x10 + 0.340003201970443*x41*x11 + 0.00191847290640412*x41*x12 + 
     0.000711453201970334*x41*x13 + 0.0866612068965512*x41*x14 + 
     0.205099753694581*x41*x15 + 0.349353078817733*x41*x16 + 0.0263142857142854
     *x41*x17 + 0.0874660098522157*x41*x18 - 0.0239501231527094*x41*x19 + 
     0.0624264778325124*x41*x20 + 0.0201272167487685*x41*x21 + 
     0.104753201970443*x41*x22 - 0.00296662561576353*x41*x23 - 
     0.00179174876847308*x41*x24 + 0.056944211822661*x41*x25 + 0.24696724137931
     *x41*x26 + 0.132257389162562*x41*x27 + 0.40697672413793*x41*x28 + 
     0.0337320197044332*x41*x29 + 0.166574753694582*x41*x30 - 0.216395812807881
     *x41*x31 + 1.09845184729064*x41*x32 + 0.00687118226600923*x41*x33 + 
     0.0477843596059111*x41*x34 + 0.0832709359605909*x41*x35 + 
     0.0493471674876846*x41*x36 + 0.121533620689655*x41*x37 - 
     0.0368011083743839*x41*x38 + 0.413975123152709*x41*x39 - 0.276744827586207
     *x41*x40 - 0.00650714285714286*x42*x2 + 0.0247464285714287*x42*x3 - 
     0.00070714285714271*x42*x4 - 0.0447607142857143*x42*x5 + 
     0.0105571428571429*x42*x6 - 0.0902464285714283*x42*x7 + 
     0.00307857142857136*x42*x8 + 0.0516*x42*x9 + 0.00352857142857158*x42*x10
      + 0.0565857142857142*x42*x11 + 0.000771428571428663*x42*x12 + 
     0.0696642857142858*x42*x13 - 0.0254857142857143*x42*x14 + 
     0.0268642857142857*x42*x15 - 0.198282142857143*x42*x16 - 
     0.0436107142857143*x42*x17 + 0.0343035714285715*x42*x18 + 0.01005*x42*x19
      - 0.00333928571428567*x42*x20 - 0.0581071428571429*x42*x21 + 0.17465*x42*
     x22 - 0.00554285714285713*x42*x23 - 0.00478571428571425*x42*x24 - 
     0.0301999999999999*x42*x25 - 0.0386357142857142*x42*x26 + 
     0.0146642857142857*x42*x27 - 0.0389964285714284*x42*x28 + 
     0.00742857142857142*x42*x29 + 0.0383142857142857*x42*x30 + 
     0.0229678571428571*x42*x31 - 0.0341928571428573*x42*x32 - 
     0.0390750000000001*x42*x33 + 0.0271142857142858*x42*x34 - 
     0.0738714285714285*x42*x35 + 0.00342857142857146*x42*x36 + 
     0.0129571428571431*x42*x37 - 0.0107107142857143*x42*x38 - 
     0.0562821428571427*x42*x39 + 0.0234250000000002*x42*x40 + 
     0.0879821428571429*x42*x41 + 0.0061071428571428*x43*x2 - 
     0.00906859605911338*x43*x3 - 0.0501067733990149*x43*x4 + 
     0.0304699507389161*x43*x5 - 0.0282035714285715*x43*x6 - 0.073189532019704*
     x43*x7 + 0.0138937192118227*x43*x8 + 0.00662807881773367*x43*x9 - 
     0.0697714285714288*x43*x10 - 0.0104605911330053*x43*x11 - 
     0.00780972906403934*x43*x12 + 0.0543104679802956*x43*x13 - 
     0.00416564039408845*x43*x14 + 0.0096953201970443*x43*x15 + 
     0.0573692118226604*x43*x16 - 0.0605857142857141*x43*x17 + 
     0.020418472906404*x43*x18 + 0.043804802955665*x43*x19 - 
     0.00176834975369465*x43*x20 - 0.0502221674876847*x43*x21 + 
     0.111921551724138*x43*x22 + 0.00736625615763547*x43*x23 + 
     0.0286174876847291*x43*x24 + 0.0438864532019708*x43*x25 - 
     0.0079438423645321*x43*x26 + 0.0137975369458129*x43*x27 + 
     0.073122044334975*x43*x28 + 0.0434440886699508*x43*x29 + 
     0.0492060344827586*x43*x30 + 0.0604616995073892*x43*x31 + 
     0.112370812807881*x43*x32 + 0.138520320197045*x43*x33 + 0.0322635467980296
     *x43*x34 + 0.120776354679803*x43*x35 + 0.00527832512315266*x43*x36 - 
     0.117525492610837*x43*x37 - 0.00132463054187203*x43*x38 - 
     0.169001231527094*x43*x39 + 0.210412561576355*x43*x40 - 0.0123461822660102
     *x43*x41 + 0.0449607142857143*x43*x42 + 0.0262571428571427*x44*x2 + 
     0.01611921182266*x44*x3 - 0.079123891625615*x44*x4 - 0.237593719211822*x44
     *x5 - 0.0115964285714284*x44*x6 - 0.428347167487684*x44*x7 + 
     0.0311561576354681*x44*x8 - 0.208605049261083*x44*x9 - 0.17375*x44*x10 + 
     0.0582432266009849*x44*x11 - 0.0148613300492608*x44*x12 - 
     0.152475738916256*x44*x13 + 0.20116736453202*x44*x14 + 0.0380466748768473*
     x44*x15 - 0.0726602216748769*x44*x16 - 0.104396428571428*x44*x17 + 
     0.0348554187192115*x44*x18 + 0.0155322660098522*x44*x19 - 
     0.0359514778325124*x44*x20 - 0.0680415024630541*x44*x21 - 
     0.264699630541873*x44*x22 - 0.0169262315270936*x44*x23 - 
     0.0218689655172415*x44*x24 + 0.321034359605912*x44*x25 - 
     0.00271366995073873*x44*x26 + 0.0123783251231527*x44*x27 + 
     0.166037561576355*x44*x28 + 0.000153694581280794*x44*x29 + 
     0.0766216748768474*x44*x30 + 0.0629172413793103*x44*x31 + 1.06630172413793
     *x44*x32 + 0.757593103448276*x44*x33 - 0.0915700738916257*x44*x34 + 
     0.587593349753695*x44*x35 - 0.030107881773399*x44*x36 - 0.0521371921182271
     *x44*x37 + 0.000151108374384477*x44*x38 - 0.106821551724138*x44*x39 + 
     0.331612684729064*x44*x40 + 0.0613293103448281*x44*x41 - 
     0.00898571428571443*x44*x42 + 0.0569640394088667*x44*x43 + 
     0.0435892857142854*x45*x2 + 0.0943937192118226*x45*x3 - 0.0794022167487677
     *x45*x4 - 0.0534447044334963*x45*x5 - 0.0859928571428572*x45*x6 + 
     0.950612192118227*x45*x7 + 0.109055541871921*x45*x8 + 0.0700493842364531*
     x45*x9 + 0.30145*x45*x10 + 0.0258528325123149*x45*x11 - 0.0244380541871913
     *x45*x12 - 0.0617270935960589*x45*x13 - 0.208899014778325*x45*x14 - 
     0.0458147783251231*x45*x15 + 0.292627586206897*x45*x16 - 0.318171428571428
     *x45*x17 - 0.0807929802955667*x45*x18 + 0.282578325123153*x45*x19 - 
     0.00334704433497591*x45*x20 + 0.257765147783251*x45*x21 + 
     0.444256403940886*x45*x22 + 0.03468460591133*x45*x23 - 0.0553192118226603*
     x45*x24 + 0.462495566502463*x45*x25 + 0.0169737684729066*x45*x26 - 
     0.031285221674877*x45*x27 + 0.686139162561576*x45*x28 + 
     0.00476403940886741*x45*x29 + 0.450717364532019*x45*x30 + 
     0.300629802955665*x45*x31 + 1.49383940886699*x45*x32 + 2.32773522167488*
     x45*x33 + 0.301043719211822*x45*x34 + 2.12854901477833*x45*x35 - 
     0.098159236453202*x45*x36 - 0.649847044334975*x45*x37 + 0.058912068965517*
     x45*x38 - 0.0796783251231542*x45*x39 + 0.333635344827585*x45*x40 - 
     0.0873979064039402*x45*x41 + 0.0850071428571426*x45*x42 + 
     0.294600492610837*x45*x43 + 0.873405049261083*x45*x44 + 
     0.000410714285714303*x46*x2 + 7.24137931034384e-5*x46*x3 + 
     0.013270935960591*x46*x4 + 0.0131412561576353*x46*x5 - 0.00072142857142856
     *x46*x6 - 0.0191937192118227*x46*x7 - 0.00404876847290639*x46*x8 + 
     0.00324113300492603*x46*x9 - 0.0201678571428572*x46*x10 + 
     0.000545073891625615*x46*x11 - 0.00791440886699501*x46*x12 - 
     0.00338657635467984*x46*x13 + 0.00271133004926102*x46*x14 + 
     0.00213004926108374*x46*x15 + 0.036231527093596*x46*x16 - 
     0.00749285714285709*x46*x17 + 0.0119075123152708*x46*x18 + 
     0.00484359605911328*x46*x19 - 0.00698743842364534*x46*x20 + 
     0.0112974137931035*x46*x21 - 0.000872783251231565*x46*x22 + 
     0.00148903940886699*x46*x23 - 0.00427093596059114*x46*x24 - 
     0.00700455665024631*x46*x25 - 0.0015213054187192*x46*x26 - 
     0.00354790640394086*x46*x27 + 0.0374967980295565*x46*x28 + 
     0.000197167487684699*x46*x29 - 0.00833066502463045*x46*x30 - 
     0.0147929802955665*x46*x31 + 3.53448275862234e-5*x46*x32 - 
     0.00769852216748763*x46*x33 - 0.0110454433497537*x46*x34 - 
     0.0356113300492609*x46*x35 - 0.000843719211822671*x46*x36 - 
     0.0218624384236451*x46*x37 - 0.000789778325123098*x46*x38 + 
     0.0162206896551723*x46*x39 - 0.00608817733990161*x46*x40 + 
     0.00750800492610842*x46*x41 - 0.00258214285714284*x46*x42 + 
     0.00311280788177337*x46*x43 + 0.00708485221674877*x46*x44 - 
     0.0308947044334975*x46*x45 + 0.00640357142857142*x47*x2 + 
     0.0114182266009852*x47*x3 - 0.0121912561576354*x47*x4 - 0.0355135467980296
     *x47*x5 - 0.00461071428571428*x47*x6 - 0.0521570197044333*x47*x7 + 
     0.00649064039408863*x47*x8 - 0.00187832512315275*x47*x9 + 
     0.0067714285714286*x47*x10 + 0.0214410098522168*x47*x11 - 
     0.00219334975369465*x47*x12 - 0.00469630541871921*x47*x13 - 
     0.0123261083743842*x47*x14 + 0.0220773399014778*x47*x15 - 
     0.0491703201970444*x47*x16 + 0.00603571428571429*x47*x17 - 
     9.4950738916248e-5*x47*x18 + 0.00387081280788179*x47*x19 + 
     0.00277881773399013*x47*x20 - 0.018749630541872*x47*x21 + 
     0.00779100985221667*x47*x22 - 0.00487955665024631*x47*x23 + 
     0.00359482758620687*x47*x24 + 0.0312889162561577*x47*x25 - 
     0.00326736453201972*x47*x26 + 0.00767980295566499*x47*x27 - 
     0.0243378078817735*x47*x28 + 0.00884581280788177*x47*x29 + 
     0.013145197044335*x47*x30 - 0.00014692118226601*x47*x31 + 
     0.210109236453202*x47*x32 + 0.0231094827586206*x47*x33 - 
     0.0106103448275863*x47*x34 + 0.0390653940886698*x47*x35 + 
     0.000207266009852251*x47*x36 - 0.0226568965517241*x47*x37 - 
     0.000891256157635458*x47*x38 - 0.0327029556650246*x47*x39 + 
     0.000783004926108468*x47*x40 + 0.0387784482758621*x47*x41 + 
     0.0182321428571428*x47*x42 + 0.0203833743842364*x47*x43 + 
     0.0899715517241378*x47*x44 + 0.0631211822660097*x47*x45 - 
     0.000952832512315239*x47*x46 - 0.00358571428571431*x48*x2 + 
     0.00624495073891627*x48*x3 + 0.0137150246305418*x48*x4 + 
     0.00108633004926108*x48*x5 - 0.00142142857142858*x48*x6 - 
     0.0536576354679802*x48*x7 + 0.00356958128078816*x48*x8 + 
     0.0243347290640394*x48*x9 + 0.0156285714285714*x48*x10 - 
     0.000278325123152747*x48*x11 - 0.00048017241379307*x48*x12 + 
     0.00799593596059114*x48*x13 - 0.00023485221674878*x48*x14 + 
     0.000226354679802942*x48*x15 - 0.00701514778325127*x48*x16 - 
     0.0107785714285714*x48*x17 - 0.000838054187192177*x48*x18 + 
     0.00283817733990148*x48*x19 + 0.00149901477832512*x48*x20 + 
     0.00725209359605912*x48*x21 + 0.0230038177339901*x48*x22 - 
     0.00090677339901478*x48*x23 - 0.0028185960591133*x48*x24 + 
     0.00324076354679801*x48*x25 + 0.00346588669950738*x48*x26 + 
     0.00807721674876846*x48*x27 + 0.0281405172413793*x48*x28 - 
     0.0071618226600985*x48*x29 - 0.00890221674876848*x48*x30 - 
     0.00199088669950737*x48*x31 + 0.0523166256157636*x48*x32 - 
     0.0512415024630542*x48*x33 + 0.00645209359605912*x48*x34 - 
     0.0215472906403941*x48*x35 + 0.00175307881773397*x48*x36 - 
     0.0160759852216748*x48*x37 + 0.00560431034482757*x48*x38 + 
     0.0119225369458129*x48*x39 + 0.00510012315270934*x48*x40 + 
     0.00606834975369459*x48*x41 + 0.00829285714285715*x48*x42 + 
     0.000266502463054162*x48*x43 + 0.00444593596059117*x48*x44 + 
     0.0148009852216749*x48*x45 + 0.00168633004926109*x48*x46 + 
     0.0015274630541872*x48*x47 + 0.102967857142857*x49*x2 + 0.260646551724138*
     x49*x3 + 0.143923152709361*x49*x4 + 0.192918103448278*x49*x5 + 0.06955*x49
     *x6 + 0.599583374384237*x49*x7 + 0.0837314039408872*x49*x8 + 
     0.391906034482759*x49*x9 + 0.276953571428572*x49*x10 + 0.466888669950739*
     x49*x11 + 0.0401200738916269*x49*x12 - 0.184302339901478*x49*x13 + 
     0.0775746305418716*x49*x14 + 0.0934698275862069*x49*x15 + 
     0.444718226600986*x49*x16 - 0.0380607142857139*x49*x17 + 0.165096921182265
     *x49*x18 + 0.190043842364532*x49*x19 + 0.0763417487684726*x49*x20 + 
     0.000285837438423833*x49*x21 + 0.362270812807881*x49*x22 - 
     0.00174556650246309*x49*x23 - 0.056766009852217*x49*x24 + 
     0.830328448275863*x49*x25 + 0.10806921182266*x49*x26 - 0.0424626847290637*
     x49*x27 + 1.34104692118227*x49*x28 - 0.0190597290640392*x49*x29 + 
     0.625748399014778*x49*x30 + 0.129352216748769*x49*x31 + 4.04501736453202*
     x49*x32 + 2.31930554187192*x49*x33 + 0.279025123152709*x49*x34 + 
     2.26583608374384*x49*x35 - 0.0232237684729066*x49*x36 - 0.425279679802956*
     x49*x37 + 0.0436338669950738*x49*x38 + 0.369245443349753*x49*x39 + 
     0.36697290640394*x49*x40 + 0.400759482758621*x49*x41 + 0.0186892857142856*
     x49*x42 + 0.261708743842364*x49*x43 + 1.04107266009852*x49*x44 + 
     2.99897253694581*x49*x45 - 0.0135568965517242*x49*x46 + 0.0688188423645319
     *x49*x47 + 0.00443177339901483*x49*x48 + 0.0128571428571428*x50*x2 - 
     0.0391561576354679*x50*x3 - 0.0379897783251226*x50*x4 - 0.0632230295566501
     *x50*x5 - 0.0340178571428571*x50*x6 + 0.322795566502463*x50*x7 + 
     0.0340833743842364*x50*x8 - 0.122155295566502*x50*x9 - 0.0352214285714285*
     x50*x10 + 0.0655450738916255*x50*x11 + 0.0152891625615765*x50*x12 - 
     0.0645472906403939*x50*x13 + 0.205914901477833*x50*x14 + 
     0.0407514778325123*x50*x15 - 0.266336330049261*x50*x16 - 
     0.0918071428571429*x50*x17 + 0.0344182266009856*x50*x18 + 
     0.0502007389162562*x50*x19 - 0.00616958128078821*x50*x20 - 
     0.0131490147783254*x50*x21 + 0.226616502463054*x50*x22 + 
     0.0159533251231527*x50*x23 + 0.0139397783251231*x50*x24 + 
     0.488666871921182*x50*x25 - 0.0398927339901478*x50*x26 + 
     0.0718663793103447*x50*x27 - 0.00167820197044306*x50*x28 - 
     0.0430814039408867*x50*x29 + 0.135305049261084*x50*x30 + 0.133114162561576
     *x50*x31 - 0.228453940886699*x50*x32 + 0.394208620689655*x50*x33 + 
     0.0813688423645321*x50*x34 + 0.343006527093596*x50*x35 + 
     0.0174169950738916*x50*x36 - 0.00588029556650275*x50*x37 + 
     0.0196280788177339*x50*x38 + 0.0587778325123157*x50*x39 + 
     0.0883689655172414*x50*x40 - 0.043170566502463*x50*x41 + 
     0.0144642857142857*x50*x42 + 0.0702520935960593*x50*x43 + 0.15136342364532
     *x50*x44 + 0.630058866995074*x50*x45 - 0.0114016009852217*x50*x46 - 
     0.00118854679802959*x50*x47 - 0.00215652709359608*x50*x48 + 
     0.537814532019705*x50*x49 + 0.1342*x51*x2 + 0.351059236453202*x51*x3 + 
     0.236040024630542*x51*x4 + 0.56390775862069*x51*x5 + 0.0714749999999997*
     x51*x6 + 1.67819593596059*x51*x7 + 0.121226724137931*x51*x8 + 
     0.603274014778325*x51*x9 + 0.650510714285714*x51*x10 + 0.627985960591133*
     x51*x11 + 0.085544827586207*x51*x12 - 0.104261206896552*x51*x13 + 
     0.0281115763546798*x51*x14 + 0.177329926108374*x51*x15 + 0.730027709359606
     *x51*x16 + 0.300596428571429*x51*x17 + 0.222811945812808*x51*x18 + 
     0.14378460591133*x51*x19 + 0.147313300492611*x51*x20 + 0.0482806650246306*
     x51*x21 + 1.01497524630542*x51*x22 + 0.0116325123152709*x51*x23 + 
     0.0296385467980296*x51*x24 + 0.529690763546798*x51*x25 + 0.117551600985222
     *x51*x26 + 0.192709359605912*x51*x27 + 1.15367623152709*x51*x28 + 
     0.0584953201970443*x51*x29 + 0.598372783251232*x51*x30 - 0.121240886699507
     *x51*x31 + 3.83737733990148*x51*x32 + 1.33483706896552*x51*x33 + 
     0.262737807881773*x51*x34 + 1.15981342364532*x51*x35 + 0.0716995073891622*
     x51*x36 - 0.113583128078817*x51*x37 + 0.185393596059113*x51*x38 + 
     0.378004679802956*x51*x39 - 0.279085591133005*x51*x40 + 0.628500492610837*
     x51*x41 - 0.00126428571428567*x51*x42 + 0.139827216748769*x51*x43 + 
     0.0866995073891632*x51*x44 + 1.16916169950739*x51*x45 - 0.0142493842364532
     *x51*x46 + 0.0363560344827585*x51*x47 + 0.0113401477832512*x51*x48 + 
     1.93642820197044*x51*x49 + 0.372629187192119*x51*x50) + objvar =E= 0;

e2..    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 =E= 1;

e3..  - 0.0517241379310345*x3 + 0.0558620689655172*x4 + 0.116551724137931*x5
      - 0.0172413793103448*x7 - 0.0496551724137931*x8 - 0.0644827586206896*x9
      + 0.00862068965517241*x11 + 0.0689655172413793*x12
      - 0.0172413793103448*x13 - 0.0948275862068965*x14
      - 0.0475862068965517*x15 + 0.344827586206897*x16 + 0.0299999999999999*x17
      + 0.0131034482758622*x18 + 0.0562068965517241*x19
      - 0.0644827586206897*x20 - 0.301724137931034*x21 - 0.241379310344828*x22
      - 0.00206896551724138*x23 - 0.0258620689655172*x24
      - 0.198275862068966*x25 - 0.0389655172413793*x26 + 0.0775862068965517*x27
      - 0.206896551724138*x28 + 0.0562068965517242*x29 - 0.0775862068965517*x30
      + 0.0689655172413793*x31 - 1.04310344827586*x32 - 0.327586206896552*x33
      - 0.0217241379310345*x34 - 0.155172413793103*x35 - 0.0172413793103448*x36
      - 0.28448275862069*x37 + 0.0558620689655173*x38 + 0.163793103448276*x39
      - 0.370689655172414*x40 + 0.0172413793103448*x41 - 0.03*x42
      + 0.0475862068965517*x43 - 0.517241379310345*x44 - 0.21551724137931*x45
      + 0.00655172413793105*x46 - 0.0537931034482758*x47
      - 0.0148275862068966*x48 - 0.417931034482759*x49 - 0.103448275862069*x50
      - 0.124827586206896*x51 =G= -0.100241379310345;

Model m / all /;

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

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

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


Last updated: 2024-03-25 Git hash: 1dae024f
Imprint / Privacy Policy / License: CC-BY 4.0