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watson.gms

* NLP written by GAMS Convert at 10/06/06 11:53:54 * * Equation counts * Total E G L N X C * 1 1 0 0 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 32 32 0 0 0 0 0 0 * FX 0 0 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 32 1 31 0 * * Solve m using NLP minimizing objvar; Variables x1,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,objvar; Equations e1; e1.. - (sqr((-1) + x2 - sqr(x1 + 0.0344827586206897*x2 + 0.00118906064209275* x3 + 4.10020911066464e-5*x4 + 1.41386521057402e-6*x5 + 4.87539727784143e-8 *x6 + 1.68117147511773e-9*x7 + 5.79714301764736e-11*x8 + 1.9990148336715e-12*x9 + 6.89315459886726e-14*x10 + 2.37694986167836e-15* x11 + 8.19637883337367e-17*x12 + 2.82633752874954e-18*x13 + 9.74599147844669e-20*x14 + 3.36068671670575e-21*x15 + 1.15885748851923e-22 *x16 + 3.99606030523871e-24*x17 + 1.37795182939266e-25*x18 + 4.75155803238848e-27*x19 + 1.63846828703051e-28*x20 + 5.64989064493279e-30 *x21 + 1.9482381534251e-31*x22 + 6.71806259801758e-33*x23 + 2.31657330966124e-34*x24 + 7.98818382641806e-36*x25 + 2.75454614704071e-37 *x26 + 9.49843498979555e-39*x27 + 3.27532241027433e-40*x28 + 1.12942152078425e-41*x29 + 3.89455696822156e-43*x30 + 1.34295067869709e-44 *x31) + 0.0689655172413793*x3 + 0.00356718192627824*x4 + 0.000164008364426586*x5 + 7.06932605287008e-6*x6 + 2.92523836670486e-7*x7 + 1.17682003258241e-8*x8 + 4.63771441411789e-10*x9 + 1.79911335030435e-11 *x10 + 6.89315459886726e-13*x11 + 2.6146448478462e-14*x12 + 9.8356546000484e-16*x13 + 3.6742387873744e-17*x14 + 1.36443880698254e-18* x15 + 5.04103007505863e-20*x16 + 1.85417198163076e-21*x17 + 6.79330251890581e-23*x18 + 2.48031329290679e-24*x19 + 9.0279602615381e-26* x20 + 3.27693657406102e-27*x21 + 1.18647703543589e-28*x22 + 4.28612393753522e-30*x23 + 1.54515439754404e-31*x24 + 5.55977594318697e-33 *x25 + 1.99704595660452e-34*x26 + 7.16181998230585e-36*x27 + 2.5645774472448e-37*x28 + 9.17090274876812e-39*x29 + 3.27532241027433e-40* x30 + 1.16836709046647e-41*x31) + sqr((-1) + x2 - sqr(x1 + 0.0689655172413793*x2 + 0.00475624256837099*x3 + 0.000328016728853171*x4 + 2.26218433691842e-5*x5 + 1.56012712890926e-6*x6 + 1.07594974407535e-7* x7 + 7.42034306258862e-9*x8 + 5.11747797419905e-10*x9 + 3.52929515462003e-11*x10 + 2.43399665835864e-12*x11 + 1.67861838507493e-13 *x12 + 1.15766785177581e-14*x13 + 7.98391621914353e-16*x14 + 5.50614911665071e-17*x15 + 3.7973442183798e-18*x16 + 2.61885808164124e-19* x17 + 1.80610902182155e-20*x18 + 1.24559242884244e-21*x19 + 8.59029261270651e-23*x20 + 5.92433973290105e-24*x21 + 4.08575153993176e-25 *x22 + 2.81775968271155e-26*x23 + 1.94328253980107e-27*x24 + 1.34019485503522e-28*x25 + 9.24272313817395e-30*x26 + 6.37429181943031e-31 *x27 + 4.39606332374504e-32*x28 + 3.03176780947934e-33*x29 + 2.09087435136506e-34*x30 + 1.44198231128625e-35*x31) + 0.137931034482759* x3 + 0.014268727705113*x4 + 0.00131206691541269*x5 + 0.000113109216845921* x6 + 9.36076277345555e-6*x7 + 7.53164820852745e-7*x8 + 5.9362744500709e-8* x9 + 4.60573017677915e-9*x10 + 3.52929515462003e-10*x11 + 2.67739632419451e-11*x12 + 2.01434206208991e-12*x13 + 1.50496820730856e-13 *x14 + 1.11774827068009e-14*x15 + 8.25922367497606e-16*x16 + 6.07575074940768e-17*x17 + 4.45205873879011e-18*x18 + 3.25099623927878e-19 *x19 + 2.36662561480064e-20*x20 + 1.7180585225413e-21*x21 + 1.24411134390922e-22*x22 + 8.98865338784987e-24*x23 + 6.48084727023658e-25 *x24 + 4.66387809552257e-26*x25 + 3.35048713758806e-27*x26 + 2.40310801592523e-28*x27 + 1.72105879124618e-29*x28 + 1.23089773064861e-30 *x29 + 8.79212664749008e-32*x30 + 6.27262305409519e-33*x31) + sqr((-1) + x2 - sqr(x1 + 0.103448275862069*x2 + 0.0107015457788347*x3 + 0.00110705645987945*x4 + 0.000114523082056495*x5 + 1.18472153851547e-5*x6 + 1.22557400536083e-6*x7 + 1.26783517795948e-7*x8 + 1.31155363237187e-8* x9 + 1.35677961969504e-9*x10 + 1.40356512382246e-10*x11 + 1.45196392119565e-11*x12 + 1.50203164261618e-12*x13 + 1.55382583718916e-13 *x14 + 1.60740603847154e-14*x15 + 1.66283383290159e-15*x16 + 1.72017293058786e-16*x17 + 1.77948923853916e-17*x18 + 1.84085093641982e-18 *x19 + 1.90432855491706e-19*x20 + 1.96999505681075e-20*x21 + 2.03792592083871e-21*x22 + 2.10819922845383e-22*x23 + 2.18089575357293e-23 *x24 + 2.25609905542027e-24*x25 + 2.3338955745727e-25*x26 + 2.41437473231658e-26*x27 + 2.49762903343095e-27*x28 + 2.58375417251477e-28 *x29 + 2.6728491439808e-29*x30 + 2.76501635584221e-30*x31) + 0.206896551724138*x3 + 0.0321046373365042*x4 + 0.00442822583951782*x5 + 0.000572615410282476*x6 + 7.10832923109281e-5*x7 + 8.5790180375258e-6*x8 + 1.01426814236758e-6*x9 + 1.18039826913469e-7*x10 + 1.35677961969504e-8* x11 + 1.5439216362047e-9*x12 + 1.74235670543477e-10*x13 + 1.95264113540104e-11*x14 + 2.17535617206482e-12*x15 + 2.41110905770731e-13 *x16 + 2.66053413264255e-14*x17 + 2.92429398199936e-15*x18 + 3.20308062937049e-16*x19 + 3.49761677919766e-17*x20 + 3.80865710983412e-18 *x21 + 4.13698961930257e-19*x22 + 4.48343702584515e-20*x23 + 4.84885822544382e-21*x24 + 5.23414980857504e-22*x25 + 5.64024763855068e-23 *x26 + 6.06812849388901e-24*x27 + 6.51881177725478e-25*x28 + 6.99336129360666e-26*x29 + 7.49288710029285e-27*x30 + 8.0185474319424e-28* x31) + sqr((-1) + x2 - sqr(x1 + 0.137931034482759*x2 + 0.0190249702734839* x3 + 0.00262413383082537*x4 + 0.000361949493906948*x5 + 4.99240681250963e-5*x6 + 6.88607836208224e-6*x7 + 9.49803912011344e-7*x8 + 1.31007436139496e-7*x9 + 1.80699911916546e-8*x10 + 2.49241257815925e-9* x11 + 3.43781045263345e-10*x12 + 4.74180752087373e-11*x13 + 6.54042416672238e-12*x14 + 9.02127471272052e-13*x15 + 1.24431375347869e-13 *x16 + 1.7162948323844e-14*x17 + 2.36730321708194e-15*x18 + 3.26524581666474e-16*x19 + 4.50378733333067e-17*x20 + 6.21212045976645e-18 *x21 + 8.56844201347097e-19*x22 + 1.18185407082358e-19*x23 + 1.63014354596356e-20*x24 + 2.24847385650146e-21*x25 + 3.10134325034684e-22 *x26 + 4.27771482806461e-23*x27 + 5.90029631457188e-24*x28 + 8.13833974423708e-25*x29 + 1.12252961989477e-25*x30 + 1.54831671709623e-26 *x31) + 0.275862068965517*x3 + 0.0570749108204518*x4 + 0.0104965353233015* x5 + 0.00180974746953474*x6 + 0.000299544408750578*x7 + 4.82025485345757e-5*x8 + 7.59843129609075e-6*x9 + 1.17906692525546e-6*x10 + 1.80699911916546e-7*x11 + 2.74165383597518e-8*x12 + 4.12537254316014e-9 *x13 + 6.16434977713584e-10*x14 + 9.15659383341133e-11*x15 + 1.35319120690808e-11*x16 + 1.99090200556591e-12*x17 + 2.91770121505349e-13 *x18 + 4.26114579074749e-14*x19 + 6.203967051663e-15*x20 + 9.00757466666135e-16*x21 + 1.30454529655095e-16*x22 + 1.88505724296361e-17 *x23 + 2.71826436289423e-18*x24 + 3.91234451031254e-19*x25 + 5.62118464125366e-20*x26 + 8.0634924509018e-21*x27 + 1.15498300357744e-21* x28 + 1.65208296808013e-22*x29 + 2.36011852582875e-23*x30 + 3.36758885968431e-24*x31) + sqr((-1) + x2 - sqr(x1 + 0.172413793103448*x2 + 0.0297265160523187*x3 + 0.00512526138833081*x4 + 0.00088366575660876*x5 + 0.000152356164932545*x6 + 2.62683042987146e-5*x7 + 4.529017982537e-6*x8 + 7.80865169402932e-7*x9 + 1.34631925759126e-7*x10 + 2.32124009929528e-8* x11 + 4.00213810223324e-9*x12 + 6.90023810729869e-10*x13 + 1.18969622539633e-10*x14 + 2.05120038861435e-11*x15 + 3.53655239416268e-12 *x16 + 6.09750412786669e-13*x17 + 1.05129381514943e-13*x18 + 1.81257554336109e-14*x19 + 3.12513024717429e-15*x20 + 5.38815559857636e-16 *x21 + 9.2899234458213e-17*x22 + 1.60171093893471e-17*x23 + 2.76157058437019e-18*x24 + 4.7613285937417e-19*x25 + 8.20918723058914e-20* x26 + 1.41537710872226e-20*x27 + 2.44030535986597e-21*x28 + 4.20742303425168e-22*x29 + 7.25417764526152e-23*x30 + 1.25072028366578e-23 *x31) + 0.344827586206897*x3 + 0.089179548156956*x4 + 0.0205010455533232* x5 + 0.0044183287830438*x6 + 0.000914136989595269*x7 + 0.000183878130091002*x8 + 3.6232143860296e-5*x9 + 7.02778652462639e-6*x10 + 1.34631925759126e-6*x11 + 2.55336410922481e-7*x12 + 4.80256572267989e-8 *x13 + 8.9703095394883e-9*x14 + 1.66557471555486e-9*x15 + 3.07680058292153e-10*x16 + 5.65848383066029e-11*x17 + 1.03657570173734e-11 *x18 + 1.89232886726897e-12*x19 + 3.44389353238606e-13*x20 + 6.25026049434857e-14*x21 + 1.13151267570103e-14*x22 + 2.04378315808069e-15 *x23 + 3.68393515954983e-16*x24 + 6.62776940248844e-17*x25 + 1.19033214843543e-17*x26 + 2.13438867995318e-18*x27 + 3.82151819355012e-19 *x28 + 6.83285500762473e-20*x29 + 1.22015267993299e-20*x30 + 2.17625329357846e-21*x31) + sqr((-1) + x2 - sqr(x1 + 0.206896551724138*x2 + 0.0428061831153389*x3 + 0.00885645167903563*x4 + 0.00183236931290392*x5 + 0.00037911089232495*x6 + 7.8436736343093e-5*x7 + 1.62282902778813e-5*x8 + 3.357577298872e-6*x9 + 6.94671165283861e-7*x10 + 1.4372506867942e-7*x11 + 2.97362211060868e-8*x12 + 6.15232160815589e-9*x13 + 1.27289412582536e-9 *x14 + 2.63357405343177e-10*x15 + 5.44877390365195e-11*x16 + 1.12733253179006e-11*x17 + 2.33241213473805e-12*x18 + 4.82568027876838e-13 *x19 + 9.98416609400354e-14*x20 + 2.06568953669039e-14*x21 + 4.27384042073874e-15*x22 + 8.84242845670083e-16*x23 + 1.82946795655879e-16 *x24 + 3.78510611701819e-17*x25 + 7.83125403521005e-18*x26 + 1.6202594555607e-18*x27 + 3.35226094253938e-19*x28 + 6.93571229490906e-20* x29 + 1.43497495756739e-20*x30 + 2.96891370531185e-21*x31) + 0.413793103448276*x3 + 0.128418549346017*x4 + 0.0354258067161425*x5 + 0.00916184656451962*x6 + 0.0022746653539497*x7 + 0.000549057154401651*x8 + 0.000129826322223051*x9 + 3.0218195689848e-5*x10 + 6.94671165283861e-6* x11 + 1.58097575547362e-6*x12 + 3.56834653273042e-7*x13 + 7.99801809060266e-8*x14 + 1.7820517761555e-8*x15 + 3.95036108014766e-9*x16 + 8.71803824584311e-10*x17 + 1.9164653040431e-10*x18 + 4.19834184252849e-11*x19 + 9.16879252965992e-12*x20 + 1.99683321880071e-12 *x21 + 4.33794802704982e-13*x22 + 9.40244892562522e-14*x23 + 2.03375854504119e-14*x24 + 4.3907230957411e-15*x25 + 9.46276529254547e-16* x26 + 2.03612604915461e-16*x27 + 4.37470053001389e-17*x28 + 9.38633063911026e-18*x29 + 2.01135656552363e-18*x30 + 4.30492487270218e-19 *x31) + sqr((-1) + x2 - sqr(x1 + 0.241379310344828*x2 + 0.0582639714625446 *x3 + 0.0140637172495797*x4 + 0.00339469037058821*x5 + 0.000819408020486809*x6 + 0.000197788142876126*x7 + 4.77419655218236e-5*x8 + 1.15239227121643e-5*x9 + 2.78163651672932e-6*x10 + 6.71429504038112e-7* x11 + 1.62069190629889e-7*x12 + 3.9120149462387e-8*x13 + 9.44279469781755e-9*x14 + 2.279295271887e-9*x15 + 5.5017472080031e-10*x16 + 1.32800794675937e-10*x17 + 3.20553642321227e-11*x18 + 7.73750171120203e-12*x19 + 1.86767282684187e-12*x20 + 4.50817578892865e-13 *x21 + 1.08818036284485e-13*x22 + 2.62664225514273e-14*x23 + 6.34017096068936e-15*x24 + 1.5303860939595e-15*x25 + 3.69403539921258e-16* x26 + 8.91663717051314e-17*x27 + 2.15229173081352e-17*x28 + 5.19518693644642e-18*x29 + 1.25401063983189e-18*x30 + 3.02692223407699e-19 *x31) + 0.482758620689655*x3 + 0.174791914387634*x4 + 0.0562548689983189* x5 + 0.0169734518529411*x6 + 0.00491644812292086*x7 + 0.00138451700013289* x8 + 0.000381935724174589*x9 + 0.000103715304409479*x10 + 2.78163651672932e-5*x11 + 7.38572454441923e-6*x12 + 1.94483028755867e-6* x13 + 5.08561943011031e-7*x14 + 1.32199125769446e-7*x15 + 3.4189429078305e-8*x16 + 8.80279553280496e-9*x17 + 2.25761350949093e-9*x18 + 5.76996556178208e-10*x19 + 1.47012532512839e-10*x20 + 3.73534565368374e-11*x21 + 9.46716915675016e-12*x22 + 2.39399679825866e-12 *x23 + 6.04127718682829e-13*x24 + 1.52164103056545e-13*x25 + 3.82596523489875e-14*x26 + 9.60449203795272e-15*x27 + 2.40749203603855e-15 *x28 + 6.02641684627784e-16*x29 + 1.50660421156946e-16*x30 + 3.76203191949568e-17*x31) + sqr((-1) + x2 - sqr(x1 + 0.275862068965517*x2 + 0.0760998810939358*x3 + 0.020993070646603*x4 + 0.00579119190251117*x5 + 0.00159757018000308*x6 + 0.000440709015173263*x7 + 0.000121574900737452 *x8 + 3.35379036517109e-5*x9 + 9.25183549012714e-6*x10 + 2.55223048003507e-6*x11 + 7.04063580699331e-7*x12 + 1.94224436054988e-7* x13 + 5.35791547737897e-8*x14 + 1.47804564893213e-8*x15 + 4.07736730739898e-9*x16 + 1.12479098135144e-9*x17 + 3.10287167269364e-10* x18 + 8.55964599363761e-11*x19 + 2.36128165341727e-11*x20 + 6.51388042322007e-12*x21 + 1.79693253054347e-12*x22 + 4.95705525667163e-13 *x23 + 1.36746351908183e-13*x24 + 3.7723131560878e-14*x25 + 1.04063811202422e-14*x26 + 2.87072582627371e-15*x27 + 7.91924365868611e-16 *x28 + 2.1846189403272e-16*x29 + 6.02653500779918e-17*x30 + 1.6624924159446e-17*x31) + 0.551724137931034*x3 + 0.228299643281807*x4 + 0.0839722825864119*x5 + 0.0289559595125558*x6 + 0.00958542108001848*x7 + 0.00308496310621284*x8 + 0.000972599205899616*x9 + 0.000301841132865398* x10 + 9.25183549012714e-5*x11 + 2.80745352803858e-5*x12 + 8.44876296839197e-6*x13 + 2.52491766871484e-6*x14 + 7.50108166833056e-7* x15 + 2.2170684733982e-7*x16 + 6.52378769183837e-8*x17 + 1.91214466829745e-8*x18 + 5.58516901084854e-9*x19 + 1.62633273879115e-9* x20 + 4.72256330683454e-10*x21 + 1.36791488887621e-10*x22 + 3.95325156719563e-11*x23 + 1.14012270903447e-11*x24 + 3.28191244579639e-12 *x25 + 9.43078289021951e-13*x26 + 2.70565909126298e-13*x27 + 7.75095973093903e-14*x28 + 2.21738822443211e-14*x29 + 6.33539492694889e-15 *x30 + 1.80796050233975e-15*x31) + sqr((-1) + x2 - sqr(x1 + 0.310344827586207*x2 + 0.0963139120095125*x3 + 0.0298905244167453*x4 + 0.00927636964657612*x5 + 0.00287887333859259*x6 + 0.000893443449908044*x7 + 0.000277275553419738*x8 + 8.60510338199187e-5*x9 + 2.67054932544575e-5* x10 + 8.28791169965923e-6*x11 + 2.57211052748045e-6*x12 + 7.98241198183588e-7*x13 + 2.47730027022493e-7*x14 + 7.68817325242219e-8* x15 + 2.38598480247585e-8*x16 + 7.40478042147679e-9*x17 + 2.29803530321693e-9*x18 + 7.13183369963876e-10*x19 + 2.21332769988789e-10* x20 + 6.86894803413484e-11*x21 + 2.13174249335219e-11*x22 + 6.61575256557576e-12*x23 + 2.05316458931661e-12*x24 + 6.3718901047757e-13* x25 + 1.97748313596487e-13*x26 + 6.1370166288565e-14*x27 + 1.90459136757616e-14*x28 + 5.91080079592601e-15*x29 + 1.83438645390807e-15 *x30 + 5.69292347764573e-16*x31) + 0.620689655172414*x3 + 0.288941736028537*x4 + 0.119562097666981*x5 + 0.0463818482328806*x6 + 0.0172732400315555*x7 + 0.00625410414935631*x8 + 0.0022182044273579*x9 + 0.000774459304379268*x10 + 0.000267054932544575*x11 + 9.11670286962515e-5* x12 + 3.08653263297654e-5*x13 + 1.03771355763866e-5*x14 + 3.4682203783149e-6*x15 + 1.15322598786333e-6*x16 + 3.81757568396136e-7*x17 + 1.25881267165105e-7*x18 + 4.13646354579048e-8*x19 + 1.35504840293136e-8 *x20 + 4.42665539977578e-9*x21 + 1.44247908716832e-9*x22 + 4.68983348537482e-10*x23 + 1.52162309008242e-10*x24 + 4.92759501435988e-11 *x25 + 1.59297252619393e-11*x26 + 5.14145615350867e-12*x27 + 1.65699448979126e-12*x28 + 5.33285582921324e-13*x29 + 1.71413223081854e-13 *x30 + 5.50315936172421e-14*x31) + sqr((-1) + x2 - sqr(x1 + 0.344827586206897*x2 + 0.118906064209275*x3 + 0.0410020911066464*x4 + 0.0141386521057402*x5 + 0.00487539727784143*x6 + 0.00168117147511774*x7 + 0.000579714301764736*x8 + 0.000199901483367151*x9 + 6.89315459886726e-5* x10 + 2.37694986167837e-5*x11 + 8.19637883337367e-6*x12 + 2.82633752874954e-6*x13 + 9.7459914784467e-7*x14 + 3.36068671670576e-7*x15 + 1.15885748851923e-7*x16 + 3.99606030523872e-8*x17 + 1.37795182939266e-8 *x18 + 4.75155803238849e-9*x19 + 1.63846828703051e-9*x20 + 5.6498906449328e-10*x21 + 1.9482381534251e-10*x22 + 6.7180625980176e-11* x23 + 2.31657330966124e-11*x24 + 7.98818382641808e-12*x25 + 2.75454614704072e-12*x26 + 9.49843498979557e-13*x27 + 3.27532241027433e-13 *x28 + 1.12942152078425e-13*x29 + 3.89455696822156e-14*x30 + 1.34295067869709e-14*x31) + 0.689655172413793*x3 + 0.356718192627824*x4 + 0.164008364426586*x5 + 0.0706932605287008*x6 + 0.0292523836670486*x7 + 0.0117682003258241*x8 + 0.00463771441411789*x9 + 0.00179911335030435*x10 + 0.000689315459886726*x11 + 0.00026146448478462*x12 + 9.83565460004841e-5*x13 + 3.67423878737441e-5*x14 + 1.36443880698254e-5* x15 + 5.04103007505864e-6*x16 + 1.85417198163076e-6*x17 + 6.79330251890582e-7*x18 + 2.48031329290679e-7*x19 + 9.02796026153812e-8* x20 + 3.27693657406102e-8*x21 + 1.18647703543589e-8*x22 + 4.28612393753523e-9*x23 + 1.54515439754405e-9*x24 + 5.55977594318698e-10* x25 + 1.99704595660452e-10*x26 + 7.16181998230586e-11*x27 + 2.5645774472448e-11*x28 + 9.17090274876814e-12*x29 + 3.27532241027433e-12* x30 + 1.16836709046647e-12*x31) + sqr((-1) + x2 - sqr(x1 + 0.379310344827586*x2 + 0.143876337693222*x3 + 0.0545737832629464*x4 + 0.0207004005480142*x5 + 0.0078518760699364*x6 + 0.00297829781963105*x7 + 0.0011296991729635*x8 + 0.000428506582848225*x9 + 0.000162536979701051*x10 + 6.16519578176399e-5*x11 + 2.33852253791048e-5*x12 + 8.87025790241906e-6 *x13 + 3.3645805836762e-6*x14 + 1.27622022139442e-6*x15 + 4.84083532253055e-7*x16 + 1.83617891544262e-7*x17 + 6.96481657581685e-8* x18 + 2.64182697703398e-8*x19 + 1.00207230163358e-8*x20 + 3.80096390274805e-9*x21 + 1.44174492862857e-9*x22 + 5.46868766031527e-10* x23 + 2.07432980218855e-10*x24 + 7.86814752554278e-11*x25 + 2.98446975106795e-11*x26 + 1.13204025040508e-11*x27 + 4.29394577739859e-12 *x28 + 1.62873805349602e-12*x29 + 6.17797192705387e-13*x30 + 2.34336866198595e-13*x31) + 0.758620689655172*x3 + 0.431629013079667*x4 + 0.218295133051786*x5 + 0.103502002740071*x6 + 0.0471112564196184*x7 + 0.0208480847374173*x8 + 0.00903759338370801*x9 + 0.00385655924563402*x10 + 0.00162536979701051*x11 + 0.000678171535994039*x12 + 0.000280622704549257*x13 + 0.000115313352731448*x14 + 4.71041281714667e-5* x15 + 1.91433033209163e-5*x16 + 7.74533651604888e-6*x17 + 3.12150415625246e-6*x18 + 1.25366698364703e-6*x19 + 5.01947125636455e-7* x20 + 2.00414460326715e-7*x21 + 7.98202419577091e-8*x22 + 3.17183884298286e-8*x23 + 1.25779816187251e-8*x24 + 4.97839152525252e-9* x25 + 1.96703688138569e-9*x26 + 7.75962135277667e-10*x27 + 3.05650867609373e-10*x28 + 1.20230481767161e-10*x29 + 4.72334035513846e-11 *x30 + 1.85339157811616e-11*x31) + sqr((-1) + x2 - sqr(x1 + 0.413793103448276*x2 + 0.171224732461356*x3 + 0.070851613432285*x4 + 0.0293179090064628*x5 + 0.0121315485543984*x6 + 0.00501995112595795*x7 + 0.00207722115556881*x8 + 0.000859539788511231*x9 + 0.000355671636625337* x10 + 0.000147174470327726*x11 + 6.08997808252658e-5*x12 + 2.51999093070065e-5*x13 + 1.04275486787613e-5*x14 + 4.31484772914262e-6* x15 + 1.78545423274867e-6*x16 + 7.38808648033932e-7*x17 + 3.05713923324386e-7*x18 + 1.26502313099746e-7*x19 + 5.23457847309293e-8* x20 + 2.16603247162466e-8*x21 + 8.96289298603308e-9*x22 + 3.70878330456541e-9*x23 + 1.53466895361327e-9*x24 + 6.35035429081354e-10* x25 + 2.62773280999181e-10*x26 + 1.08733771447937e-10*x27 + 4.49932847370774e-11*x28 + 1.86179109256872e-11*x29 + 7.70396314166367e-12 *x30 + 3.18784681724014e-12*x31) + 0.827586206896552*x3 + 0.513674197384067*x4 + 0.28340645372914*x5 + 0.146589545032314*x6 + 0.0727892913263903*x7 + 0.0351396578817057*x8 + 0.0166177692445505*x9 + 0.00773585809660108*x10 + 0.00355671636625337*x11 + 0.00161891917360498* x12 + 0.00073079736990319*x13 + 0.000327598820991085*x14 + 0.000145985681502659*x15 + 6.47227159371393e-5*x16 + 2.85672677239787e-5* x17 + 1.25597470165768e-5*x18 + 5.50285061983894e-6*x19 + 2.40354394889517e-6*x20 + 1.04691569461859e-6*x21 + 4.54866819041179e-7* x22 + 1.97183645692728e-7*x23 + 8.53020160050045e-8*x24 + 3.68320548867186e-8*x25 + 1.58758857270339e-8*x26 + 6.83210530597871e-9* x27 + 2.9358118290943e-9*x28 + 1.25981197263817e-9*x29 + 5.39919416844929e-10*x30 + 2.3111889424991e-10*x31) + sqr((-1) + x2 - sqr( x1 + 0.448275862068966*x2 + 0.200951248513674*x3 + 0.0900815941613022*x4 + 0.0403814042792044*x5 + 0.0181020088148158*x6 + 0.00811469360664156*x7 + 0.00363762127194277*x8 + 0.00163065781156055*x9 + 0.000730984536216799* x10 + 0.000327682723131669*x11 + 0.000146892255196955*x12 + 6.58482523296694e-5*x13 + 2.95181820788173e-5*x14 + 1.32322885180905e-5* x15 + 5.93171554259231e-6*x16 + 2.65904489840345e-6*x17 + 1.19198564411189e-6*x18 + 5.34338392188089e-7*x19 + 2.39531003394661e-7* x20 + 1.07375967038986e-7*x21 + 4.81340541898901e-8*x22 + 2.15773346368473e-8*x23 + 9.67259828548328e-9*x24 + 4.33599233487181e-9* x25 + 1.94372070183909e-9*x26 + 8.71323073238213e-10*x27 + 3.9059310179644e-10*x28 + 1.7509345942599e-10*x29 + 7.84901714668232e-11* x30 + 3.51852492782311e-11*x31) + 0.896551724137931*x3 + 0.602853745541023 *x4 + 0.360326376645209*x5 + 0.201907021396022*x6 + 0.108612052888895*x7 + 0.0568028552464909*x8 + 0.0291009701755422*x9 + 0.014675920304045*x10 + 0.00730984536216799*x11 + 0.00360450995444835*x12 + 0.00176270706236346 *x13 + 0.000856027280285702*x14 + 0.000413254549103442*x15 + 0.000198484327771358*x16 + 9.49074486814769e-5*x17 + 4.52037632728586e-5* x18 + 2.1455741594014e-5*x19 + 1.01524294515737e-5*x20 + 4.79062006789321e-6*x21 + 2.2548953078187e-6*x22 + 1.05894919217758e-6*x23 + 4.96278696647488e-7*x24 + 2.32142358851599e-7*x25 + 1.08399808371795e-7 *x26 + 5.05367382478163e-8*x27 + 2.35257229774317e-8*x28 + 1.09366068503003e-8*x29 + 5.07771032335372e-9*x30 + 2.3547051440047e-9*x31 ) + sqr((-1) + x2 - sqr(x1 + 0.482758620689655*x2 + 0.233055885850178*x3 + 0.112509737996638*x4 + 0.0543150459294114*x5 + 0.0262210566555779*x6 + 0.0126584411440721*x7 + 0.00611097158679343*x8 + 0.00295012421431407*x9 + 0.00142419789656541*x10 + 0.000687543812135027*x11 + 0.000331917702410013* x12 + 0.000160236132197937*x13 + 7.73553741645214e-5*x14 + 3.73439737345966e-5*x15 + 1.80281252511846e-5*x16 + 8.70323287988219e-6* x17 + 4.20156070063278e-6*x18 + 2.02833964858134e-6*x19 + 9.7919845103927e-7*x20 + 4.72716493605164e-7*x21 + 2.28207962430079e-7*x22 + 1.10169361173142e-7*x23 + 5.31852088422064e-8*x24 + 2.56756180617548e-8 *x25 + 1.23951259608471e-8*x26 + 5.98385391213311e-9*x27 + 2.88875706102978e-9*x28 + 1.39457237429024e-9*x29 + 6.73241835864252e-10* x30 + 3.25013300072398e-10*x31) + 0.96551724137931*x3 + 0.699167657550535* x4 + 0.450038951986551*x5 + 0.271575229647057*x6 + 0.157326339933467*x7 + 0.0886090880085047*x8 + 0.0488877726943474*x9 + 0.0265511179288266*x10 + 0.0142419789656541*x11 + 0.00756298193348529*x12 + 0.00398301242892015*x13 + 0.00208306971857318*x14 + 0.0010829752383033*x15 + 0.000560159606018948 *x16 + 0.000288450004018953*x17 + 0.000147954958957997*x18 + 7.56280926113901e-5*x19 + 3.85384533230455e-5*x20 + 1.95839690207854e-5* x21 + 9.92704636570845e-6*x22 + 5.02057517346175e-6*x23 + 2.53389530698226e-6*x24 + 1.27644501221295e-6*x25 + 6.4189045154387e-7*x26 + 3.22273274982026e-7*x27 + 1.61564055627594e-7*x28 + 8.08851977088338e-8 *x29 + 4.04425988544169e-8*x30 + 2.01972550759276e-8*x31) + sqr((-1) + x2 - sqr(x1 + 0.517241379310345*x2 + 0.267538644470868*x3 + 0.138382057484932*x4 + 0.0715769262853095*x5 + 0.0370225480786084*x6 + 0.019149593833763*x7 + 0.00990496232780843*x8 + 0.00512325637645264*x9 + 0.00264996019471688*x10 + 0.00137066906623287*x11 + 0.000708966758396312* x12 + 0.000366706943998092*x13 + 0.000189676005516255*x14 + 9.81082787153041e-5*x15 + 5.07456614044677e-5*x16 + 2.62477558988626e-5* x17 + 1.35764254649289e-5*x18 + 7.02228903358393e-6*x19 + 3.63221846564686e-6*x20 + 1.87873368912769e-6*x21 + 9.71758804721217e-7* x22 + 5.02633864510974e-7*x23 + 2.59983033367745e-7*x24 + 1.3447398277642e-7*x25 + 6.9555508332631e-8*x26 + 3.59769870686023e-8*x27 + 1.86087864147943e-8*x28 + 9.6252343524798e-9*x29 + 4.97856949266197e-9* x30 + 2.57512215137688e-9*x31) + 1.03448275862069*x3 + 0.802615933412604* x4 + 0.553528229939727*x5 + 0.357884631426548*x6 + 0.22213528847165*x7 + 0.134047156836341*x8 + 0.0792396986224674*x9 + 0.0461093073880737*x10 + 0.0264996019471688*x11 + 0.0150773597285616*x12 + 0.00850760110075574*x13 + 0.0047671902719752*x14 + 0.00265546407722757*x15 + 0.00147162418072956* x16 + 0.000811930582471483*x17 + 0.000446211850280664*x18 + 0.000244375658368721*x19 + 0.000133423491638095*x20 + 7.26443693129372e-5* x21 + 3.94534074716814e-5*x22 + 2.13786937038668e-5*x23 + 1.15605788837524e-5*x24 + 6.23959280082589e-6*x25 + 3.3618495694105e-6*x26 + 1.80844321664841e-6*x27 + 9.71378650852262e-7*x28 + 5.2104601961424e-7* x29 + 2.79131796221914e-7*x30 + 1.49357084779859e-7*x31) + sqr((-1) + x2 - sqr(x1 + 0.551724137931034*x2 + 0.304399524375743*x3 + 0.167944565172824*x4 + 0.0926590704401787*x5 + 0.0511222457600986*x6 + 0.0282053769710889*x7 + 0.0155615872943939*x8 + 0.00858570333483799*x9 + 0.0047369397709451*x10 + 0.00261348401155592*x11 + 0.00144192221327223*x12 + 0.00079554329008123*x13 + 0.000438920435906885*x14 + 0.00024216299912104*x15 + 0.00013360717192885*x16 + 7.37143017538482e-5* x17 + 4.066995958833e-5*x18 + 2.24385983935614e-5*x19 + 1.23799163550683e-5*x20 + 6.8302986786584e-6*x21 + 3.76844065029429e-6*x22 + 2.07913966912788e-6*x23 + 1.1471115415878e-6*x24 + 6.32889126393268e-7* x25 + 3.49180207665251e-7*x26 + 1.9265114905669e-7*x27 + 1.06290289134726e-7*x28 + 5.86429181432969e-8*x29 + 3.23547134583707e-8* x30 + 1.78508763908252e-8*x31) + 1.10344827586207*x3 + 0.913198573127229* x4 + 0.671778260691295*x5 + 0.463295352200893*x6 + 0.306733474560591*x7 + 0.197437638797622*x8 + 0.124492698355151*x9 + 0.0772713300135419*x10 + 0.047369397709451*x11 + 0.0287483241271151*x12 + 0.0173030665592667*x13 + 0.010342062771056*x14 + 0.0061448861026964*x15 + 0.0036324449868156*x16 + 0.0021377147508616*x17 + 0.00125314312981542*x18 + 0.00073205927258994*x19 + 0.000426333369477666*x20 + 0.000247598327101367*x21 + 0.000143436272251826*x22 + 8.29056943064744e-5*x23 + 4.78202123899413e-5* x24 + 2.75306769981071e-5*x25 + 1.58222281598317e-5*x26 + 9.07868539929653e-6*x27 + 5.20158102453064e-6*x28 + 2.97612809577232e-6* x29 + 1.70064462615561e-6*x30 + 9.70641403751122e-7*x31) + sqr((-1) + x2 - sqr(x1 + 0.586206896551724*x2 + 0.343638525564804*x3 + 0.201443273606954*x4 + 0.118087436252352*x5 + 0.069223669527241*x6 + 0.0405793924814861*x7 + 0.0237879197305263*x8 + 0.0139446426006534*x9 + 0.00817444566245197*x10 + 0.00479191642281667*x11 + 0.0028090544547546*x12 + 0.00164668709416649*x13 + 0.000965299331063115*x14 + 0.000565865125105964*x15 + 0.00033171403885522*x16 + 0.000194453057259957* x17 + 0.000113989723221354*x18 + 6.68215618883798e-5*x19 + 3.91712604173261e-5*x20 + 2.29624630032601e-5*x21 + 1.34607541743249e-5* x22 + 7.89078692977666e-6*x23 + 4.62563371745528e-6*x24 + 2.71157838609448e-6*x25 + 1.58954595046918e-6*x26 + 9.31802798550896e-7* x27 + 5.46229226736732e-7*x28 + 3.20203339811188e-7*x29 + 1.87705406096214e-7*x30 + 1.10034203573642e-7*x31) + 1.17241379310345*x3 + 1.03091557669441*x4 + 0.805773094427816*x5 + 0.590437181261761*x6 + 0.415342017163446*x7 + 0.284055747370403*x8 + 0.190303357844211*x9 + 0.12550178340588*x10 + 0.0817444566245197*x11 + 0.0527110806509834*x12 + 0.0337086534570552*x13 + 0.0214069322241644*x14 + 0.0135141906348836*x15 + 0.00848797687658945*x16 + 0.00530742462168352*x17 + 0.00330570197341926 *x18 + 0.00205181501798437*x19 + 0.00126960967587922*x20 + 0.000783425208346522*x21 + 0.000482211723068463*x22 + 0.000296136591835148 *x23 + 0.000181488099384863*x24 + 0.000111015209218927*x25 + 6.77894596523619e-5*x26 + 4.13281947121986e-5*x27 + 2.51586755608742e-5* x28 + 1.52944183486285e-5*x29 + 9.28589685452445e-6*x30 + 5.63116218288641e-6*x31) + sqr((-1) + x2 - sqr(x1 + 0.620689655172414*x2 + 0.38525564803805*x3 + 0.239124195333962*x4 + 0.148421914345218*x5 + 0.0921239468349628*x6 + 0.0571803807941148*x7 + 0.0354912708377264*x8 + 0.0220290646578992*x9 + 0.0136732125462822*x10 + 0.00848682158045105*x11 + 0.00526768236027996*x12 + 0.00326959594775998*x13 + 0.00202940438136826 *x14 + 0.00125963030567685*x15 + 0.000781839500075287*x16 + 0.000485279689701903*x17 + 0.00030120808326325*x18 + 0.00018695674133581* x19 + 0.000116042115311882*x20 + 7.20261405384097e-5*x21 + 4.47058803341853e-5*x22 + 2.77484774488047e-5*x23 + 1.72231928992581e-5* x24 + 1.06902576616085e-5*x25 + 6.63533234168801e-6*x26 + 4.1184821431167e-6*x27 + 2.55629926124485e-6*x28 + 1.58666850697956e-6*x29 + 9.84828728470072e-7*x30 + 6.11273003877975e-7*x31) + 1.24137931034483* x3 + 1.15576694411415*x4 + 0.956496781335848*x5 + 0.742109571726089*x6 + 0.552743681009777*x7 + 0.400262665558804*x8 + 0.283930166701812*x9 + 0.198261581921093*x10 + 0.136732125462822*x11 + 0.0933550373849616*x12 + 0.0632121883233596*x13 + 0.0425047473208797*x14 + 0.0284116613391557*x15 + 0.0188944545851528*x16 + 0.0125094320012046*x17 + 0.00824975472493234* x18 + 0.0054217454987385*x19 + 0.0035521780853804*x20 + 0.00232084230623765*x21 + 0.0015125489513066*x22 + 0.000983529367352077* x23 + 0.000638214981322507*x24 + 0.000413356629582194*x25 + 0.000267256441540212*x26 + 0.000172518640883888*x27 + 0.000111199017864151 *x28 + 7.15763793148557e-5*x29 + 4.60133867024073e-5*x30 + 2.95448618541022e-5*x31) + sqr((-1) + x2 - sqr(x1 + 0.655172413793103*x2 + 0.429250891795482*x3 + 0.281233342900488*x4 + 0.184256328107216*x5 + 0.120719663242659*x6 + 0.0790921931589834*x7 + 0.0518190231041615*x8 + 0.0339503944475541*x9 + 0.022243361879432*x10 + 0.014573237093421*x11 + 0.00954798292327581*x12 + 0.00625557501869794*x13 + 0.00409848018466417* x14 + 0.00268521115546963*x15 + 0.0017592762742732*x16 + 0.00115262928314451*x17 + 0.000755170909646405*x18 + 0.000494767147699369* x19 + 0.000324157786423724*x20 + 0.000212379239381061*x21 + 0.000139145018904833*x22 + 9.11639779031664e-5*x23 + 5.97281234537987e-5* x24 + 3.91322188145578e-5*x25 + 2.56383502578137e-5*x26 + 1.67975398240848e-5*x27 + 1.10052847123314e-5*x28 + 7.21035894945853e-6* x29 + 4.72402827723145e-6*x30 + 3.09505300922061e-6*x31) + 1.31034482758621*x3 + 1.28775267538644*x4 + 1.12493337160195*x5 + 0.921281640536081*x6 + 0.724317979455953*x7 + 0.553645352112884*x8 + 0.414552184833292*x9 + 0.305553550027987*x10 + 0.22243361879432*x11 + 0.160305608027631*x12 + 0.11457579507931*x13 + 0.0813224752430732*x14 + 0.0573787225852984*x15 + 0.0402781673320444*x16 + 0.0281484203883713*x17 + 0.0195946978134567*x18 + 0.0135930763736353*x19 + 0.00940057580628801* x20 + 0.00648315572847449*x21 + 0.00445996402700228*x22 + 0.00306119041590632*x23 + 0.00209677149177283*x24 + 0.00143347496289117* x25 + 0.000978305470363944*x26 + 0.000666597106703156*x27 + 0.000453533575250291*x28 + 0.00030814797194528*x29 + 0.000209100409534297* x30 + 0.000141720848316944*x31) + sqr((-1) + x2 - sqr(x1 + 0.689655172413793*x2 + 0.475624256837099*x3 + 0.328016728853172*x4 + 0.226218433691842*x5 + 0.156012712890926*x6 + 0.107594974407535*x7 + 0.0742034306258863*x8 + 0.0511747797419905*x9 + 0.0352929515462004*x10 + 0.0243399665835865*x11 + 0.0167861838507493*x12 + 0.0115766785177581*x13 + 0.00798391621914354*x14 + 0.00550614911665072*x15 + 0.0037973442183798* x16 + 0.00261885808164124*x17 + 0.00180610902182155*x18 + 0.00124559242884245*x19 + 0.000859029261270653*x20 + 0.000592433973290106* x21 + 0.000408575153993176*x22 + 0.000281775968271156*x23 + 0.000194328253980108*x24 + 0.000134019485503523*x25 + 9.24272313817397e-5* x26 + 6.37429181943032e-5*x27 + 4.39606332374505e-5*x28 + 3.03176780947935e-5*x29 + 2.09087435136507e-5*x30 + 1.44198231128625e-5* x31) + 1.37931034482759*x3 + 1.4268727705113*x4 + 1.31206691541269*x5 + 1.13109216845921*x6 + 0.936076277345555*x7 + 0.753164820852745*x8 + 0.59362744500709*x9 + 0.460573017677915*x10 + 0.352929515462004*x11 + 0.267739632419451*x12 + 0.201434206208991*x13 + 0.150496820730856*x14 + 0.11177482706801*x15 + 0.0825922367497607*x16 + 0.0607575074940769*x17 + 0.0445205873879012*x18 + 0.0325099623927879*x19 + 0.0236662561480065*x20 + 0.0171805852254131*x21 + 0.0124411134390922*x22 + 0.00898865338784988* x23 + 0.00648084727023659*x24 + 0.00466387809552258*x25 + 0.00335048713758806*x26 + 0.00240310801592523*x27 + 0.00172105879124619* x28 + 0.00123089773064861*x29 + 0.00087921266474901*x30 + 0.00062726230540952*x31) + sqr((-1) + x2 - sqr(x1 + 0.724137931034483*x2 + 0.524375743162901*x3 + 0.379720365738653*x4 + 0.274969920017645*x5 + 0.199116148978295*x6 + 0.144187556156696*x7 + 0.104411678596228*x8 + 0.0756084569145101*x9 + 0.0547509515587832*x10 + 0.0396472407839465*x11 + 0.028710070912513*x12 + 0.0207900513504404*x13 + 0.0150548647710086*x14 + 0.0109017986272821*x15 + 0.0078944059025146*x16 + 0.00571663875699333*x17 + 0.00413963496196069*x18 + 0.00299766669659223*x19 + 0.00217072415960127 *x20 + 0.00157190370178023*x21 + 0.00113827509439258*x22 + 0.000824268171801522*x23 + 0.00059688384854593*x24 + 0.000432226235153949* x25 + 0.000312991411663204*x26 + 0.000226648953273355*x27 + 0.000164125104094499*x28 + 0.000118849213309809*x29 + 8.60632234312411e-5* x30 + 6.23216445536575e-5*x31) + 1.44827586206897*x3 + 1.5731272294887*x4 + 1.51888146295461*x5 + 1.37484960008823*x6 + 1.19469689386977*x7 + 1.00931289309687*x8 + 0.835293428769826*x9 + 0.680476112230591*x10 + 0.547509515587832*x11 + 0.436119648623411*x12 + 0.344520850950155*x13 + 0.270270667555725*x14 + 0.21076810679412*x15 + 0.163526979409231*x16 + 0.126310494440234*x17 + 0.0971828588688866*x18 + 0.0745134293152924*x19 + 0.0569556672352523*x20 + 0.0434144831920253*x21 + 0.0330099777373847*x22 + 0.0250420520766367*x23 + 0.018958167951435*x24 + 0.0143252123651023*x25 + 0.0108056558788487*x26 + 0.00813777670324332*x27 + 0.00611952173838059* x28 + 0.00459550291464596*x29 + 0.00344662718598447*x30 + 0.00258189670293723*x31) + sqr((-1) + x2 - sqr(x1 + 0.758620689655172*x2 + 0.575505350772889*x3 + 0.436590266103571*x4 + 0.331206408768226*x5 + 0.251260034237965*x6 + 0.190611060456387*x7 + 0.144601494139328*x8 + 0.109697685209145*x9 + 0.083218933606938*x10 + 0.0631316048052633*x11 + 0.0478929415764066*x12 + 0.0363325763683085*x13 + 0.0275626441414754*x14 + 0.0209095921073261*x15 + 0.0158624491848681*x16 + 0.0120335821402448* x17 + 0.00912892438225466*x18 + 0.00692539091067594*x19 + 0.00525374482878865*x20 + 0.00398559952528794*x21 + 0.00302355826056327* x22 + 0.0022937338528411*x23 + 0.00174007395732773*x24 + 0.00132005610555897*x25 + 0.00100142187318266*x26 + 0.000759699352069607* x27 + 0.000576323646397633*x28 + 0.000437211042094756*x29 + 0.000331677342278781*x30 + 0.000251617294142523*x31) + 1.51724137931034*x3 + 1.72651605231867*x4 + 1.74636106441428*x5 + 1.65603204384113*x6 + 1.50756020542779*x7 + 1.33427742319471*x8 + 1.15681195311463*x9 + 0.987279166882309*x10 + 0.83218933606938*x11 + 0.694447652857896*x12 + 0.574715298916879*x13 + 0.47232349278801*x14 + 0.385877017980655*x15 + 0.313643881609892*x16 + 0.25379918695789*x17 + 0.204570896384161*x18 + 0.164320638880584*x19 + 0.131582427302843*x20 + 0.105074896575773*x21 + 0.0836975900310468*x22 + 0.0665182817323919*x23 + 0.0527558786153452*x24 + 0.0417617749758655*x25 + 0.0330014026389742*x26 + 0.0260369687027493* x27 + 0.0205118825058794*x28 + 0.0161370620991337*x29 + 0.0126791202207479 *x30 + 0.00995032026836342*x31) + sqr((-1) + x2 - sqr(x1 + 0.793103448275862*x2 + 0.629013079667063*x3 + 0.498872442494567*x4 + 0.395657454392243*x5 + 0.313797291414538*x6 + 0.248873713880495*x7 + 0.197382600663841*x8 + 0.15654482121615*x9 + 0.124156237516257*x10 + 0.0984687400991003*x11 + 0.0780958973199761*x12 + 0.0619381254606707*x13 + 0.0491233408826009*x14 + 0.0389598910448214*x15 + 0.0308992239320997* x16 + 0.0245062810495963*x17 + 0.0194360160048523*x18 + 0.0154147713141932 *x19 + 0.0122255082836705*x20 + 0.00969609277670415*x21 + 0.00769000461600674*x22 + 0.00609896917821225*x23 + 0.00483711348616833* x24 + 0.00383633138558178*x25 + 0.00304260765063382*x26 + 0.00241310261946821*x27 + 0.00191384000854375*x28 + 0.00151787311022435* x29 + 0.00120383039776414*x30 + 0.000954762039606045*x31) + 1.58620689655172*x3 + 1.88703923900119*x4 + 1.99548976997827*x5 + 1.97828727196122*x6 + 1.88278374848723*x7 + 1.74211599716347*x8 + 1.57906080531073*x9 + 1.40890339094535*x10 + 1.24156237516257*x11 + 1.0831561410901*x12 + 0.937150767839713*x13 + 0.805195630988719*x14 + 0.687726772356412*x15 + 0.584398365672321*x16 + 0.494387582913596*x17 + 0.416606777843138*x18 + 0.349848288087341*x19 + 0.29288065496967*x20 + 0.244510165673409*x21 + 0.203617948310787*x22 + 0.169180101552148*x23 + 0.140276291098882*x24 + 0.11609072366804*x25 + 0.0959082846395445*x26 + 0.0791077989164794*x27 + 0.0651537707256416*x28 + 0.053587520239225*x29 + 0.0440183201965062*x30 + 0.0361149119329243*x31) + sqr((-1) + x2 - sqr(x1 + 0.827586206896552*x2 + 0.684898929845422*x3 + 0.56681290745828*x4 + 0.469086544103404*x5 + 0.388209553740749*x6 + 0.321276872061309*x7 + 0.265884307912808*x8 + 0.220042185858875*x9 + 0.182103877952173*x10 + 0.150706657615591*x11 + 0.124722751130144*x12 + 0.103218828521499*x13 + 0.0854224787764128*x14 + 0.0706944651942727*x15 + 0.0585057642987084*x16 + 0.0484185635575518*x17 + 0.0400705353579739*x18 + 0.0331618223652198* x19 + 0.0274442667850095*x20 + 0.022712496649663*x21 + 0.0187965489514452* x22 + 0.0155557646494719*x23 + 0.0128737362616319*x24 + 0.0106541265613506 *x25 + 0.00881720818870392*x26 + 0.00729699988030669*x27 + 0.00603889645266761*x28 + 0.00499770740910423*x29 + 0.00413603371787936* x30 + 0.00342292445617602*x31) + 1.6551724137931*x3 + 2.05469678953627*x4 + 2.26725162983312*x5 + 2.34543272051702*x6 + 2.32925732244449*x7 + 2.24893810442916*x8 + 2.12707446330246*x9 + 1.98037967272988*x10 + 1.82103877952173*x11 + 1.6577732337715*x12 + 1.49667301356173*x13 + 1.34184477077948*x14 + 1.19591470286978*x15 + 1.06041697791409*x16 + 0.936092228779334*x17 + 0.82311558047838*x18 + 0.72126963644353*x19 + 0.630074624939176*x20 + 0.548885335700189*x21 + 0.476962429642923*x22 + 0.413524076931795*x23 + 0.357782586937854*x24 + 0.308969670279167*x25 + 0.266353164033764*x26 + 0.229247412906302*x27 + 0.197018996768281*x28 + 0.169089100674693*x29 + 0.144933514864023*x30 + 0.124081011536381*x31) + sqr((-1) + x2 - sqr(x1 + 0.862068965517241*x2 + 0.743162901307967*x3 + 0.640657673541351*x4 + 0.552291097880474*x5 + 0.476113015414202*x6 + 0.410442254667416*x7 + 0.353829529885703*x8 + 0.30502545679802*x9 + 0.262952979998293*x10 + 0.226683603446804*x11 + 0.195416899523107*x12 + 0.168462844416472*x13 + 0.1452265900142*x14 + 0.125195336219138*x15 + 0.107927013982015*x16 + 0.0930405292948407*x17 + 0.0802073528403799*x18 + 0.0691442696899826*x19 + 0.0596071290430885*x20 + 0.051385456071628*x21 + 0.0442978069583*x22 + 0.0381877646192241*x23 + 0.0329204867407105*x24 + 0.0283797299488883*x25 + 0.0244652844386968*x26 + 0.0210907624471524*x27 + 0.0181816917647866*x28 + 0.0156738722110229*x29 + 0.013511958802606*x30 + 0.0116482403470741*x31) + 1.72413793103448*x3 + 2.2294887039239*x4 + 2.5626306941654*x5 + 2.76145548940237*x6 + 2.85667809248521*x7 + 2.87309578267191*x8 + 2.83063623908562*x9 + 2.74522911118218*x10 + 2.62952979998293*x11 + 2.49351963791485*x12 + 2.34500279427729*x13 + 2.19001697741413*x14 + 2.0331722601988*x15 + 1.87793004328706*x16 + 1.72683222371224*x17 + 1.58168899801229*x18 + 1.44373235112684*x19 + 1.31374112410967*x20 + 1.19214258086177*x21 + 1.07909457750419*x22 + 0.9745517530826*x23 + 0.878318586242155*x24 + 0.790091681777051*x25 + 0.709493248722208*x26 + 0.636097395406118*x27 + 0.569450586073116*x28 + 0.509087369414024*x29 + 0.454542294119664*x30 + 0.405358764078179*x31) + sqr((-1) + x2 - sqr(x1 + 0.896551724137931*x2 + 0.803804994054697*x3 + 0.720652753290418*x4 + 0.646102468467271*x5 + 0.579264282074105*x6 + 0.51934039082506*x7 + 0.465615522808674*x8 + 0.417448399759501*x9 + 0.374264082543001*x10 + 0.335547108486829*x11 + 0.300835338643364*x12 + 0.269714441542326*x13 + 0.241812947589671*x14 + 0.216797815080395*x15 + 0.194370454899665*x16 + 0.174263166461768*x17 + 0.156235942345034*x18 + 0.140073603481754*x19 + 0.12558323070778*x20 + 0.112591862013871*x21 + 0.100944428012436*x22 + 0.0905019009766673*x23 + 0.0811396353583913*x24 + 0.0727458799764887*x25 + 0.065220444116852*x26 + 0.0584735016220052*x27 + 0.0524245186955909*x28 + 0.0470012926236332*x29 + 0.0421390899384298*x30 + 0.0377798737379026*x31) + 1.79310344827586*x3 + 2.41141498216409*x4 + 2.88261101316167*x5 + 3.23051234233636*x6 + 3.47558569244463*x7 + 3.63538273577542*x8 + 3.7249241824694*x9 + 3.75703559783551*x10 + 3.74264082543001*x11 + 3.69101819335511*x12 + 3.61002406372036*x13 + 3.50628774005024*x14 + 3.3853812662554*x15 + 3.25196722620593*x16 + 3.10992727839464*x17 + 2.96247382985006*x18 + 2.81224696221061*x19 + 2.66139846615333*x20 + 2.5116646141556*x21 + 2.3644291022913*x22 + 2.2207774162736*x23 + 2.08154372246335*x24 + 1.94735124860139*x25 + 1.81864699941222*x26 + 1.69573154703815*x27 + 1.57878454379414*x28 + 1.46788652347655*x29 + 1.36303748608536*x30 + 1.26417269815289*x31) + sqr( (-1) + x2 - sqr(x1 + 0.931034482758621*x2 + 0.866825208085612*x3 + 0.807044159252122*x4 + 0.751385941372665*x5 + 0.699566221277999*x6 + 0.651320274982964*x7 + 0.606401635328967*x8 + 0.564580832892486*x9 + 0.525644223727487*x10 + 0.489392897953178*x11 + 0.455641663611579*x12 + 0.424218100603884*x13 + 0.394961679872582*x14 + 0.367722943329645*x15 + 0.342362740341394*x16 + 0.318751516869573*x17 + 0.296768653637189*x18 + 0.276301849938073*x19 + 0.257246549942343*x20 + 0.239505408567009*x21 + 0.222987794183078*x22 + 0.207609325618727*x23 + 0.193291441093298*x24 + 0.179960996879967*x25 + 0.167549893646866*x26 + 0.155994728567772*x27 + 0.145236471425167*x28 + 0.135220163051017*x29 + 0.12589463456474*x30 + 0.117212245974069*x31) + 1.86206896551724*x3 + 2.60047562425684*x4 + 3.22817663700849*x5 + 3.75692970686333*x6 + 4.19739732766799*x7 + 4.55924192488075*x8 + 4.85121308263173*x9 + 5.08122749603237*x10 + 5.25644223727487*x11 + 5.38332187748495*x12 + 5.46769996333895*x13 + 5.51483530785049*x14 + 5.52946351821614*x15 + 5.51584414994468*x16 + 5.4778038454623*x17 + 5.41877578678275*x18 + 5.3418357654694*x19 + 5.24973514882338*x20 + 5.14493099884687*x21 + 5.0296135799072*x22 + 4.90573147202771*x23 + 4.77501448923073*x24 + 4.63899458623915*x25 + 4.49902492199918*x26 + 4.35629723481851*x27 + 4.21185767132984*x28 + 4.06662119990467*x29 + 3.9213847284795*x30 + 3.77683903694221*x31) + sqr(( -1) + x2 - sqr(x1 + 0.96551724137931*x2 + 0.932223543400714*x3 + 0.900077903973103*x4 + 0.869040734870582*x5 + 0.839073812978493*x6 + 0.810140233220614*x7 + 0.782204363109559*x8 + 0.755231798864401*x9 + 0.729189323041491*x10 + 0.704044863626267*x11 + 0.679767454535706*x12 + 0.656327197482751*x13 + 0.633695225155759*x14 + 0.61184366566763*x15 + 0.590745608230815*x16 + 0.570375070015959*x17 + 0.55070696415334*x18 + 0.531717068837708*x19 + 0.513381997498477*x20 + 0.495679169998529*x21 + 0.478586784826166*x22 + 0.462083792245954*x23 + 0.446149868375403*x24 + 0.430765390155562*x25 + 0.41591141118468*x26 + 0.401569638385209*x27 + 0.387722409475374*x28 + 0.374352671217602*x29 + 0.361443958416995*x30 + 0.348980373643996*x31) + 1.93103448275862*x3 + 2.79667063020214*x4 + 3.60031161589241*x5 + 4.34520367435291*x6 + 5.03444287787096*x7 + 5.6709816325443*x8 + 6.25763490487647*x9 + 6.79708618977961*x10 + 7.29189323041491*x11 + 7.74449349988894*x12 + 8.15720945442848*x13 + 8.53225356727576*x14 + 8.87173315218063*x15 + 9.17765498501445*x16 + 9.45192973169305*x17 + 9.69637619027131*x18 + 9.91272535476012*x19 + 10.1026243079165*x20 + 10.2676399499695*x21 + 10.4092625699691*x22 + 10.5289092661756*x23 + 10.6279272216569*x24 + 10.7075968410097*x25 + 10.769134753889*x26 + 10.8136966908017*x27 + 10.8423802364006*x28 + 10.8562274653105*x29 + 10.8562274653105*x30 + 10.8433187525099*x31) + sqr( (-1) + x2 - sqr(x1 + 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) + 2*x3 + 3*x4 + 4*x5 + 5*x6 + 6*x7 + 7*x8 + 8*x9 + 9*x10 + 10*x11 + 11*x12 + 12*x13 + 13*x14 + 14*x15 + 15*x16 + 16*x17 + 17*x18 + 18*x19 + 19*x20 + 20*x21 + 21*x22 + 22*x23 + 23*x24 + 24*x25 + 25*x26 + 26*x27 + 27*x28 + 28*x29 + 29*x30 + 30*x31) + sqr(x1) + sqr((-1) - sqr(x1) + x2)) + objvar =E= 0; * set non default bounds * set non default levels * set non default marginals Model m / all /; m.limrow=0; m.limcol=0; $if NOT '%gams.u1%' == '' $include '%gams.u1%' Solve m using NLP minimizing objvar;