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STChebychev17.gms

* DNLP written by GAMS Convert at 11/11/08 09:49:45 * * 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 * 18 18 0 0 0 0 0 0 * FX 0 0 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 18 1 17 0 * * Solve m using DNLP minimizing objvar; * Variables x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,objvar; Equations e1; e1.. - (sqr(min((-10558.145) + 18.4884258895036*x1 + 15.4070215745864*x2 + 12.8391846454886*x3 + 10.6993205379072*x4 + 8.916100448256*x5 + 7.43008370688*x6 + 6.1917364224*x7 + 5.159780352*x8 + 4.29981696*x9 + 3.5831808*x10 + 2.985984*x11 + 2.48832*x12 + 2.0736*x13 + 1.728*x14 + 1.44 *x15 + 1.2*x16 + x17,0)) + sqr(min((-10558.145) + 18.4884258895036*x1 - 15.4070215745864*x2 + 12.8391846454886*x3 - 10.6993205379072*x4 + 8.916100448256*x5 - 7.43008370688*x6 + 6.1917364224*x7 - 5.159780352*x8 + 4.29981696*x9 - 3.5831808*x10 + 2.985984*x11 - 2.48832*x12 + 2.0736*x13 - 1.728*x14 + 1.44*x15 - 1.2*x16 + x17,0)) + IfThen(0,sqr((-1) + x17),0) + IfThen(0,sqr(1 + x17),0) + IfThen(0,sqr((-1) + 6.5536e-28*x1 + 3.2768e-26* x2 + 1.6384e-24*x3 + 8.192e-23*x4 + 4.096e-21*x5 + 2.048e-19*x6 + 1.024e-17*x7 + 5.12e-16*x8 + 2.56e-14*x9 + 1.28e-12*x10 + 6.4e-11*x11 + 3.2e-9*x12 + 1.6e-7*x13 + 8e-6*x14 + 0.0004*x15 + 0.02*x16 + x17),0) + IfThen(0,sqr(1 + 6.5536e-28*x1 + 3.2768e-26*x2 + 1.6384e-24*x3 + 8.192e-23 *x4 + 4.096e-21*x5 + 2.048e-19*x6 + 1.024e-17*x7 + 5.12e-16*x8 + 2.56e-14* x9 + 1.28e-12*x10 + 6.4e-11*x11 + 3.2e-9*x12 + 1.6e-7*x13 + 8e-6*x14 + 0.0004*x15 + 0.02*x16 + x17),0) + IfThen(0,sqr((-1) + 4.294967296e-23*x1 + 1.073741824e-21*x2 + 2.68435456e-20*x3 + 6.7108864e-19*x4 + 1.6777216e-17*x5 + 4.194304e-16*x6 + 1.048576e-14*x7 + 2.62144e-13*x8 + 6.5536e-12*x9 + 1.6384e-10*x10 + 4.096e-9*x11 + 1.024e-7*x12 + 2.56e-6*x13 + 6.4e-5*x14 + 0.0016*x15 + 0.04*x16 + x17),0) + IfThen(0,sqr(1 + 4.294967296e-23*x1 + 1.073741824e-21*x2 + 2.68435456e-20*x3 + 6.7108864e-19*x4 + 1.6777216e-17*x5 + 4.194304e-16*x6 + 1.048576e-14*x7 + 2.62144e-13*x8 + 6.5536e-12*x9 + 1.6384e-10*x10 + 4.096e-9*x11 + 1.024e-7* x12 + 2.56e-6*x13 + 6.4e-5*x14 + 0.0016*x15 + 0.04*x16 + x17),0) + IfThen( 0,sqr((-1) + 2.821109907456e-20*x1 + 4.70184984576e-19*x2 + 7.8364164096e-18*x3 + 1.3060694016e-16*x4 + 2.176782336e-15*x5 + 3.62797056e-14*x6 + 6.0466176e-13*x7 + 1.0077696e-11*x8 + 1.679616e-10*x9 + 2.79936e-9*x10 + 4.6656e-8*x11 + 7.776e-7*x12 + 1.296e-5*x13 + 0.000216 *x14 + 0.0036*x15 + 0.06*x16 + x17),0) + IfThen(0,sqr(1 + 2.821109907456e-20*x1 + 4.70184984576e-19*x2 + 7.8364164096e-18*x3 + 1.3060694016e-16*x4 + 2.176782336e-15*x5 + 3.62797056e-14*x6 + 6.0466176e-13*x7 + 1.0077696e-11*x8 + 1.679616e-10*x9 + 2.79936e-9*x10 + 4.6656e-8*x11 + 7.776e-7*x12 + 1.296e-5*x13 + 0.000216*x14 + 0.0036*x15 + 0.06*x16 + x17),0) + IfThen(0,sqr((-1) + 2.81474976710656e-18*x1 + 3.5184372088832e-17*x2 + 4.398046511104e-16*x3 + 5.49755813888e-15*x4 + 6.8719476736e-14*x5 + 8.589934592e-13*x6 + 1.073741824e-11*x7 + 1.34217728e-10*x8 + 1.6777216e-9*x9 + 2.097152e-8*x10 + 2.62144e-7*x11 + 3.2768e-6*x12 + 4.096e-5*x13 + 0.000512*x14 + 0.0064*x15 + 0.08*x16 + x17) ,0) + IfThen(0,sqr(1 + 2.81474976710656e-18*x1 + 3.5184372088832e-17*x2 + 4.398046511104e-16*x3 + 5.49755813888e-15*x4 + 6.8719476736e-14*x5 + 8.589934592e-13*x6 + 1.073741824e-11*x7 + 1.34217728e-10*x8 + 1.6777216e-9 *x9 + 2.097152e-8*x10 + 2.62144e-7*x11 + 3.2768e-6*x12 + 4.096e-5*x13 + 0.000512*x14 + 0.0064*x15 + 0.08*x16 + x17),0) + IfThen(0,sqr((-1) + 1e-16 *x1 + 1e-15*x2 + 1e-14*x3 + 1e-13*x4 + 1e-12*x5 + 1e-11*x6 + 1e-10*x7 + 1e-9*x8 + 1e-8*x9 + 1e-7*x10 + 1e-6*x11 + 1e-5*x12 + 0.0001*x13 + 0.001* x14 + 0.01*x15 + 0.1*x16 + x17),0) + IfThen(0,sqr(1 + 1e-16*x1 + 1e-15*x2 + 1e-14*x3 + 1e-13*x4 + 1e-12*x5 + 1e-11*x6 + 1e-10*x7 + 1e-9*x8 + 1e-8* x9 + 1e-7*x10 + 1e-6*x11 + 1e-5*x12 + 0.0001*x13 + 0.001*x14 + 0.01*x15 + 0.1*x16 + x17),0) + IfThen(0,sqr((-1) + 1.84884258895036e-15*x1 + 1.54070215745864e-14*x2 + 1.28391846454886e-13*x3 + 1.06993205379072e-12* x4 + 8.916100448256e-12*x5 + 7.43008370688e-11*x6 + 6.1917364224e-10*x7 + 5.159780352e-9*x8 + 4.29981696e-8*x9 + 3.5831808e-7*x10 + 2.985984e-6*x11 + 2.48832e-5*x12 + 0.00020736*x13 + 0.001728*x14 + 0.0144*x15 + 0.12*x16 + x17),0) + IfThen(0,sqr(1 + 1.84884258895036e-15*x1 + 1.54070215745864e-14*x2 + 1.28391846454886e-13*x3 + 1.06993205379072e-12* x4 + 8.916100448256e-12*x5 + 7.43008370688e-11*x6 + 6.1917364224e-10*x7 + 5.159780352e-9*x8 + 4.29981696e-8*x9 + 3.5831808e-7*x10 + 2.985984e-6*x11 + 2.48832e-5*x12 + 0.00020736*x13 + 0.001728*x14 + 0.0144*x15 + 0.12*x16 + x17),0) + IfThen(0,sqr((-1) + 2.17795333780937e-14*x1 + 1.55568095557812e-13*x2 + 1.1112006825558e-12*x3 + 7.93714773254145e-12*x4 + 5.6693912375296e-11*x5 + 4.049565169664e-10*x6 + 2.89254654976e-9*x7 + 2.0661046784e-8*x8 + 1.475789056e-7*x9 + 1.05413504e-6*x10 + 7.529536e-6* x11 + 5.37824e-5*x12 + 0.00038416*x13 + 0.002744*x14 + 0.0196*x15 + 0.14* x16 + x17),0) + IfThen(0,sqr(1 + 2.17795333780937e-14*x1 + 1.55568095557812e-13*x2 + 1.1112006825558e-12*x3 + 7.93714773254145e-12*x4 + 5.6693912375296e-11*x5 + 4.049565169664e-10*x6 + 2.89254654976e-9*x7 + 2.0661046784e-8*x8 + 1.475789056e-7*x9 + 1.05413504e-6*x10 + 7.529536e-6* x11 + 5.37824e-5*x12 + 0.00038416*x13 + 0.002744*x14 + 0.0196*x15 + 0.14* x16 + x17),0) + IfThen(0,sqr((-1) + 1.84467440737096e-13*x1 + 1.15292150460685e-12*x2 + 7.20575940379279e-12*x3 + 4.5035996273705e-11*x4 + 2.81474976710656e-10*x5 + 1.7592186044416e-9*x6 + 1.099511627776e-8*x7 + 6.8719476736e-8*x8 + 4.294967296e-7*x9 + 2.68435456e-6*x10 + 1.6777216e-5*x11 + 0.0001048576*x12 + 0.00065536*x13 + 0.004096*x14 + 0.0256*x15 + 0.16*x16 + x17),0) + IfThen(0,sqr(1 + 1.84467440737096e-13*x1 + 1.15292150460685e-12*x2 + 7.20575940379279e-12*x3 + 4.5035996273705e-11 *x4 + 2.81474976710656e-10*x5 + 1.7592186044416e-9*x6 + 1.099511627776e-8* x7 + 6.8719476736e-8*x8 + 4.294967296e-7*x9 + 2.68435456e-6*x10 + 1.6777216e-5*x11 + 0.0001048576*x12 + 0.00065536*x13 + 0.004096*x14 + 0.0256*x15 + 0.16*x16 + x17),0) + IfThen(0,sqr((-1) + 1.21439531096594e-12 *x1 + 6.74664061647745e-12*x2 + 3.74813367582081e-11*x3 + 2.08229648656712e-10*x4 + 1.15683138142618e-9*x5 + 6.4268410079232e-9*x6 + 3.570467226624e-8*x7 + 1.98359290368e-7*x8 + 1.1019960576e-6*x9 + 6.12220032e-6*x10 + 3.4012224e-5*x11 + 0.0001889568*x12 + 0.00104976*x13 + 0.005832*x14 + 0.0324*x15 + 0.18*x16 + x17),0) + IfThen(0,sqr(1 + 1.21439531096594e-12*x1 + 6.74664061647745e-12*x2 + 3.74813367582081e-11* x3 + 2.08229648656712e-10*x4 + 1.15683138142618e-9*x5 + 6.4268410079232e-9 *x6 + 3.570467226624e-8*x7 + 1.98359290368e-7*x8 + 1.1019960576e-6*x9 + 6.12220032e-6*x10 + 3.4012224e-5*x11 + 0.0001889568*x12 + 0.00104976*x13 + 0.005832*x14 + 0.0324*x15 + 0.18*x16 + x17),0) + IfThen(0,sqr((-1) + 6.55360000000001e-12*x1 + 3.27680000000001e-11*x2 + 1.6384e-10*x3 + 8.19200000000001e-10*x4 + 4.09600000000001e-9*x5 + 2.048e-8*x6 + 1.024e-7* x7 + 5.12e-7*x8 + 2.56e-6*x9 + 1.28e-5*x10 + 6.4e-5*x11 + 0.00032*x12 + 0.0016*x13 + 0.008*x14 + 0.04*x15 + 0.2*x16 + x17),0) + IfThen(0,sqr(1 + 6.55360000000001e-12*x1 + 3.27680000000001e-11*x2 + 1.6384e-10*x3 + 8.19200000000001e-10*x4 + 4.09600000000001e-9*x5 + 2.048e-8*x6 + 1.024e-7* x7 + 5.12e-7*x8 + 2.56e-6*x9 + 1.28e-5*x10 + 6.4e-5*x11 + 0.00032*x12 + 0.0016*x13 + 0.008*x14 + 0.04*x15 + 0.2*x16 + x17),0) + IfThen(0,sqr((-1) + 3.01136149633907e-11*x1 + 1.36880068015412e-10*x2 + 6.22182127342782e-10*x3 + 2.82810057883083e-9*x4 + 1.28550026310492e-8*x5 + 5.84318301411328e-8*x6 + 2.6559922791424e-7*x7 + 1.207269217792e-6*x8 + 5.4875873536e-6*x9 + 2.494357888e-5*x10 + 0.000113379904*x11 + 0.0005153632*x12 + 0.00234256*x13 + 0.010648*x14 + 0.0484*x15 + 0.22*x16 + x17),0) + IfThen(0,sqr(1 + 3.01136149633907e-11*x1 + 1.36880068015412e-10*x2 + 6.22182127342782e-10*x3 + 2.82810057883083e-9*x4 + 1.28550026310492e-8*x5 + 5.84318301411328e-8*x6 + 2.6559922791424e-7*x7 + 1.207269217792e-6*x8 + 5.4875873536e-6*x9 + 2.494357888e-5*x10 + 0.000113379904*x11 + 0.0005153632*x12 + 0.00234256*x13 + 0.010648*x14 + 0.0484*x15 + 0.22*x16 + x17),0) + IfThen(0,sqr((-1) + 1.21165747909451e-10 *x1 + 5.04857282956046e-10*x2 + 2.10357201231686e-9*x3 + 8.76488338465358e-9*x4 + 3.65203474360566e-8*x5 + 1.52168114316902e-7*x6 + 6.3403380965376e-7*x7 + 2.641807540224e-6*x8 + 1.10075314176e-5*x9 + 4.586471424e-5*x10 + 0.000191102976*x11 + 0.0007962624*x12 + 0.00331776* x13 + 0.013824*x14 + 0.0576*x15 + 0.24*x16 + x17),0) + IfThen(0,sqr(1 + 1.21165747909451e-10*x1 + 5.04857282956046e-10*x2 + 2.10357201231686e-9*x3 + 8.76488338465358e-9*x4 + 3.65203474360566e-8*x5 + 1.52168114316902e-7* x6 + 6.3403380965376e-7*x7 + 2.641807540224e-6*x8 + 1.10075314176e-5*x9 + 4.586471424e-5*x10 + 0.000191102976*x11 + 0.0007962624*x12 + 0.00331776* x13 + 0.013824*x14 + 0.0576*x15 + 0.24*x16 + x17),0) + IfThen(0,sqr((-1) + 4.36087428994289e-10*x1 + 1.67725934228573e-9*x2 + 6.45099747032972e-9* x3 + 2.48115287320374e-8*x4 + 9.54289566616822e-8*x5 + 3.67034448698778e-7 *x6 + 1.41167095653376e-6*x7 + 5.429503678976e-6*x8 + 2.08827064576e-5*x9 + 8.031810176e-5*x10 + 0.000308915776*x11 + 0.0011881376*x12 + 0.00456976 *x13 + 0.017576*x14 + 0.0676*x15 + 0.26*x16 + x17),0) + IfThen(0,sqr(1 + 4.36087428994289e-10*x1 + 1.67725934228573e-9*x2 + 6.45099747032972e-9*x3 + 2.48115287320374e-8*x4 + 9.54289566616822e-8*x5 + 3.67034448698778e-7* x6 + 1.41167095653376e-6*x7 + 5.429503678976e-6*x8 + 2.08827064576e-5*x9 + 8.031810176e-5*x10 + 0.000308915776*x11 + 0.0011881376*x12 + 0.00456976 *x13 + 0.017576*x14 + 0.0676*x15 + 0.26*x16 + x17),0) + IfThen(0,sqr((-1) + 1.42734349946675e-9*x1 + 5.0976553552384e-9*x2 + 1.82059119829943e-8*x3 + 6.50211142249795e-8*x4 + 2.32218265089213e-7*x5 + 8.29350946747188e-7* x6 + 2.96196766695424e-6*x7 + 1.0578455953408e-5*x8 + 3.77801998336e-5*x9 + 0.00013492928512*x10 + 0.000481890304*x11 + 0.0017210368*x12 + 0.00614656*x13 + 0.021952*x14 + 0.0784*x15 + 0.28*x16 + x17),0) + IfThen(0 ,sqr(1 + 1.42734349946675e-9*x1 + 5.0976553552384e-9*x2 + 1.82059119829943e-8*x3 + 6.50211142249795e-8*x4 + 2.32218265089213e-7*x5 + 8.29350946747188e-7*x6 + 2.96196766695424e-6*x7 + 1.0578455953408e-5*x8 + 3.77801998336e-5*x9 + 0.00013492928512*x10 + 0.000481890304*x11 + 0.0017210368*x12 + 0.00614656*x13 + 0.021952*x14 + 0.0784*x15 + 0.28*x16 + x17),0) + IfThen(0,sqr((-1) + 4.3046721e-9*x1 + 1.4348907e-8*x2 + 4.782969e-8*x3 + 1.594323e-7*x4 + 5.31441e-7*x5 + 1.77147e-6*x6 + 5.9049e-6*x7 + 1.9683e-5*x8 + 6.561e-5*x9 + 0.0002187*x10 + 0.000729*x11 + 0.00243*x12 + 0.0081*x13 + 0.027*x14 + 0.09*x15 + 0.3*x16 + x17),0) + IfThen(0,sqr(1 + 4.3046721e-9*x1 + 1.4348907e-8*x2 + 4.782969e-8*x3 + 1.594323e-7*x4 + 5.31441e-7*x5 + 1.77147e-6*x6 + 5.9049e-6*x7 + 1.9683e-5* x8 + 6.561e-5*x9 + 0.0002187*x10 + 0.000729*x11 + 0.00243*x12 + 0.0081*x13 + 0.027*x14 + 0.09*x15 + 0.3*x16 + x17),0) + IfThen(0,sqr((-1) + 1.20892581961463e-8*x1 + 3.77789318629572e-8*x2 + 1.18059162071741e-7*x3 + 3.68934881474191e-7*x4 + 1.15292150460685e-6*x5 + 3.6028797018964e-6*x6 + 1.12589990684262e-5*x7 + 3.5184372088832e-5*x8 + 0.0001099511627776*x9 + 0.00034359738368*x10 + 0.001073741824*x11 + 0.0033554432*x12 + 0.01048576*x13 + 0.032768*x14 + 0.1024*x15 + 0.32*x16 + x17),0) + IfThen(0 ,sqr(1 + 1.20892581961463e-8*x1 + 3.77789318629572e-8*x2 + 1.18059162071741e-7*x3 + 3.68934881474191e-7*x4 + 1.15292150460685e-6*x5 + 3.6028797018964e-6*x6 + 1.12589990684262e-5*x7 + 3.5184372088832e-5*x8 + 0.0001099511627776*x9 + 0.00034359738368*x10 + 0.001073741824*x11 + 0.0033554432*x12 + 0.01048576*x13 + 0.032768*x14 + 0.1024*x15 + 0.32*x16 + x17),0) + IfThen(0,sqr((-1) + 3.18905987076371e-8*x1 + 9.37958785518738e-8*x2 + 2.75870231034923e-7*x3 + 8.11383032455655e-7*x4 + 2.3864206836931e-6*x5 + 7.01888436380325e-6*x6 + 2.06437775405978e-5*x7 + 6.0716992766464e-5*x8 + 0.0001785793904896*x9 + 0.00052523350144*x10 + 0.001544804416*x11 + 0.0045435424*x12 + 0.01336336*x13 + 0.039304*x14 + 0.1156*x15 + 0.34*x16 + x17),0) + IfThen(0,sqr(1 + 3.18905987076371e-8*x1 + 9.37958785518738e-8*x2 + 2.75870231034923e-7*x3 + 8.11383032455655e-7* x4 + 2.3864206836931e-6*x5 + 7.01888436380325e-6*x6 + 2.06437775405978e-5* x7 + 6.0716992766464e-5*x8 + 0.0001785793904896*x9 + 0.00052523350144*x10 + 0.001544804416*x11 + 0.0045435424*x12 + 0.01336336*x13 + 0.039304*x14 + 0.1156*x15 + 0.34*x16 + x17),0) + IfThen(0,sqr((-1) + 7.95866110994639e-8*x1 + 2.21073919720733e-7*x2 + 6.14094221446481e-7*x3 + 1.70581728179578e-6*x4 + 4.73838133832161e-6*x5 + 1.31621703842267e-5* x6 + 3.65615844006297e-5*x7 + 0.000101559956668416*x8 + 0.0002821109907456 *x9 + 0.00078364164096*x10 + 0.002176782336*x11 + 0.0060466176*x12 + 0.01679616*x13 + 0.046656*x14 + 0.1296*x15 + 0.36*x16 + x17),0) + IfThen(0 ,sqr(1 + 7.95866110994639e-8*x1 + 2.21073919720733e-7*x2 + 6.14094221446481e-7*x3 + 1.70581728179578e-6*x4 + 4.73838133832161e-6*x5 + 1.31621703842267e-5*x6 + 3.65615844006297e-5*x7 + 0.000101559956668416* x8 + 0.0002821109907456*x9 + 0.00078364164096*x10 + 0.002176782336*x11 + 0.0060466176*x12 + 0.01679616*x13 + 0.046656*x14 + 0.1296*x15 + 0.36*x16 + x17),0) + IfThen(0,sqr((-1) + 1.89032964795676e-7*x1 + 4.97455170514937e-7*x2 + 1.30909255398668e-6*x3 + 3.4449804052281e-6*x4 + 9.06573790849499e-6*x5 + 2.38572050223553e-5*x6 + 6.27821184798822e-5*x7 + 0.000165216101262848*x8 + 0.0004347792138496*x9 + 0.00114415582592*x10 + 0.003010936384*x11 + 0.0079235168*x12 + 0.02085136*x13 + 0.054872*x14 + 0.1444*x15 + 0.38*x16 + x17),0) + IfThen(0,sqr(1 + 1.89032964795676e-7* x1 + 4.97455170514937e-7*x2 + 1.30909255398668e-6*x3 + 3.4449804052281e-6* x4 + 9.06573790849499e-6*x5 + 2.38572050223553e-5*x6 + 6.27821184798822e-5 *x7 + 0.000165216101262848*x8 + 0.0004347792138496*x9 + 0.00114415582592* x10 + 0.003010936384*x11 + 0.0079235168*x12 + 0.02085136*x13 + 0.054872* x14 + 0.1444*x15 + 0.38*x16 + x17),0) + IfThen(0,sqr((-1) + 4.29496729600001e-7*x1 + 1.073741824e-6*x2 + 2.68435456e-6*x3 + 6.71088640000001e-6*x4 + 1.6777216e-5*x5 + 4.194304e-5*x6 + 0.0001048576* x7 + 0.000262144*x8 + 0.000655360000000001*x9 + 0.0016384*x10 + 0.004096* x11 + 0.01024*x12 + 0.0256*x13 + 0.064*x14 + 0.16*x15 + 0.4*x16 + x17),0) + IfThen(0,sqr(1 + 4.29496729600001e-7*x1 + 1.073741824e-6*x2 + 2.68435456e-6*x3 + 6.71088640000001e-6*x4 + 1.6777216e-5*x5 + 4.194304e-5* x6 + 0.0001048576*x7 + 0.000262144*x8 + 0.000655360000000001*x9 + 0.0016384*x10 + 0.004096*x11 + 0.01024*x12 + 0.0256*x13 + 0.064*x14 + 0.16 *x15 + 0.4*x16 + x17),0) + IfThen(0,sqr((-1) + 9.37537496836987e-7*x1 + 2.23223213532616e-6*x2 + 5.31483841744324e-6*x3 + 1.26543771843887e-5*x4 + 3.01294694866397e-5*x5 + 7.17368321110468e-5*x6 + 0.000170801981216778* x7 + 0.000406671383849472*x8 + 0.0009682651996416*x9 + 0.00230539333248* x10 + 0.005489031744*x11 + 0.0130691232*x12 + 0.03111696*x13 + 0.074088* x14 + 0.1764*x15 + 0.42*x16 + x17),0) + IfThen(0,sqr(1 + 9.37537496836987e-7*x1 + 2.23223213532616e-6*x2 + 5.31483841744324e-6*x3 + 1.26543771843887e-5*x4 + 3.01294694866397e-5*x5 + 7.17368321110468e-5* x6 + 0.000170801981216778*x7 + 0.000406671383849472*x8 + 0.0009682651996416*x9 + 0.00230539333248*x10 + 0.005489031744*x11 + 0.0130691232*x12 + 0.03111696*x13 + 0.074088*x14 + 0.1764*x15 + 0.42*x16 + x17),0) + IfThen(0,sqr((-1) + 1.97352587024077e-6*x1 + 4.48528606872902e-6*x2 + 1.01938319743841e-5*x3 + 2.31677999417821e-5*x4 + 5.26540907767776e-5*x5 + 0.00011966838812904*x6 + 0.000271973609384182* x7 + 0.000618121839509504*x8 + 0.0014048223625216*x9 + 0.00319277809664* x10 + 0.007256313856*x11 + 0.0164916224*x12 + 0.03748096*x13 + 0.085184* x14 + 0.1936*x15 + 0.44*x16 + x17),0) + IfThen(0,sqr(1 + 1.97352587024077e-6*x1 + 4.48528606872902e-6*x2 + 1.01938319743841e-5*x3 + 2.31677999417821e-5*x4 + 5.26540907767776e-5*x5 + 0.00011966838812904* x6 + 0.000271973609384182*x7 + 0.000618121839509504*x8 + 0.0014048223625216*x9 + 0.00319277809664*x10 + 0.007256313856*x11 + 0.0164916224*x12 + 0.03748096*x13 + 0.085184*x14 + 0.1936*x15 + 0.44*x16 + x17),0) + IfThen(0,sqr((-1) + 4.0190675620207e-6*x1 + 8.73710339569718e-6*x2 + 1.89937030341243e-5*x3 + 4.12906587698354e-5*x4 + 8.97623016735553e-5*x5 + 0.000195135438420772*x6 + 0.000424207474827766 *x7 + 0.000922190162669056*x8 + 0.0020047612231936*x9 + 0.00435817657216* x10 + 0.009474296896*x11 + 0.0205962976*x12 + 0.04477456*x13 + 0.097336* x14 + 0.2116*x15 + 0.46*x16 + x17),0) + IfThen(0,sqr(1 + 4.0190675620207e-6*x1 + 8.73710339569718e-6*x2 + 1.89937030341243e-5*x3 + 4.12906587698354e-5*x4 + 8.97623016735553e-5*x5 + 0.000195135438420772*x6 + 0.000424207474827766*x7 + 0.000922190162669056*x8 + 0.0020047612231936* x9 + 0.00435817657216*x10 + 0.009474296896*x11 + 0.0205962976*x12 + 0.04477456*x13 + 0.097336*x14 + 0.2116*x15 + 0.46*x16 + x17),0) + IfThen(0 ,sqr((-1) + 7.94071845499378e-6*x1 + 1.65431634479037e-5*x2 + 3.44649238497994e-5*x3 + 7.18019246870821e-5*x4 + 0.000149587343098088*x5 + 0.000311640298121016*x6 + 0.00064925062108545*x7 + 0.00135260546059469* x8 + 0.0028179280429056*x9 + 0.00587068342272*x10 + 0.012230590464*x11 + 0.0254803968*x12 + 0.05308416*x13 + 0.110592*x14 + 0.2304*x15 + 0.48*x16 + x17),0) + IfThen(0,sqr(1 + 7.94071845499378e-6*x1 + 1.65431634479037e-5 *x2 + 3.44649238497994e-5*x3 + 7.18019246870821e-5*x4 + 0.000149587343098088*x5 + 0.000311640298121016*x6 + 0.00064925062108545*x7 + 0.00135260546059469*x8 + 0.0028179280429056*x9 + 0.00587068342272*x10 + 0.012230590464*x11 + 0.0254803968*x12 + 0.05308416*x13 + 0.110592*x14 + 0.2304*x15 + 0.48*x16 + x17),0) + IfThen(0,sqr((-1) + 1.52587890625e-5* x1 + 3.0517578125e-5*x2 + 6.103515625e-5*x3 + 0.0001220703125*x4 + 0.000244140625*x5 + 0.00048828125*x6 + 0.0009765625*x7 + 0.001953125*x8 + 0.00390625*x9 + 0.0078125*x10 + 0.015625*x11 + 0.03125*x12 + 0.0625*x13 + 0.125*x14 + 0.25*x15 + 0.5*x16 + x17),0) + IfThen(0,sqr(1 + 1.52587890625e-5*x1 + 3.0517578125e-5*x2 + 6.103515625e-5*x3 + 0.0001220703125*x4 + 0.000244140625*x5 + 0.00048828125*x6 + 0.0009765625* x7 + 0.001953125*x8 + 0.00390625*x9 + 0.0078125*x10 + 0.015625*x11 + 0.03125*x12 + 0.0625*x13 + 0.125*x14 + 0.25*x15 + 0.5*x16 + x17),0) + IfThen(0,sqr((-1) + 2.85794257465697e-5*x1 + 5.49604341280187e-5*x2 + 0.000105693142553882*x3 + 0.00020325604337285*x4 + 0.00039087700648625*x5 + 0.000751686550935097*x6 + 0.00144555105949057*x7 + 0.00277990588363571* x8 + 0.0053459728531456*x9 + 0.01028071702528*x10 + 0.019770609664*x11 + 0.0380204032*x12 + 0.07311616*x13 + 0.140608*x14 + 0.2704*x15 + 0.52*x16 + x17),0) + IfThen(0,sqr(1 + 2.85794257465697e-5*x1 + 5.49604341280187e-5 *x2 + 0.000105693142553882*x3 + 0.00020325604337285*x4 + 0.00039087700648625*x5 + 0.000751686550935097*x6 + 0.00144555105949057*x7 + 0.00277990588363571*x8 + 0.0053459728531456*x9 + 0.01028071702528*x10 + 0.019770609664*x11 + 0.0380204032*x12 + 0.07311616*x13 + 0.140608*x14 + 0.2704*x15 + 0.52*x16 + x17),0) + IfThen(0,sqr((-1) + 5.22757361348592e-5*x1 + 9.68069187682578e-5*x2 + 0.00017927207179307*x3 + 0.000331985318135315*x4 + 0.000614787626176509*x5 + 0.00113849560403057 *x6 + 0.00210832519264921*x7 + 0.00390430591231335*x8 + 0.0072301961339136 *x9 + 0.01338925209984*x10 + 0.024794911296*x11 + 0.0459165024*x12 + 0.08503056*x13 + 0.157464*x14 + 0.2916*x15 + 0.54*x16 + x17),0) + IfThen(0 ,sqr(1 + 5.22757361348592e-5*x1 + 9.68069187682578e-5*x2 + 0.00017927207179307*x3 + 0.000331985318135315*x4 + 0.000614787626176509*x5 + 0.00113849560403057*x6 + 0.00210832519264921*x7 + 0.00390430591231335* x8 + 0.0072301961339136*x9 + 0.01338925209984*x10 + 0.024794911296*x11 + 0.0459165024*x12 + 0.08503056*x13 + 0.157464*x14 + 0.2916*x15 + 0.54*x16 + x17),0) + IfThen(0,sqr((-1) + 9.3542383581053e-5*x1 + 0.000167039970680452*x2 + 0.000298285661929378*x3 + 0.000532652967731032* x4 + 0.000951166013805415*x5 + 0.00169851073893824*x6 + 0.00303305489096114*x7 + 0.0054161694481449*x8 + 0.00967173115740161*x9 + 0.01727094849536*x10 + 0.030840979456*x11 + 0.0550731776*x12 + 0.09834496* x13 + 0.175616*x14 + 0.3136*x15 + 0.56*x16 + x17),0) + IfThen(0,sqr(1 + 9.3542383581053e-5*x1 + 0.000167039970680452*x2 + 0.000298285661929378*x3 + 0.000532652967731032*x4 + 0.000951166013805415*x5 + 0.00169851073893824 *x6 + 0.00303305489096114*x7 + 0.0054161694481449*x8 + 0.00967173115740161 *x9 + 0.01727094849536*x10 + 0.030840979456*x11 + 0.0550731776*x12 + 0.09834496*x13 + 0.175616*x14 + 0.3136*x15 + 0.56*x16 + x17),0) + IfThen(0 ,sqr((-1) + 0.000164001528991152*x1 + 0.000282761256881297*x2 + 0.00048751940841603*x3 + 0.000840550704165568*x4 + 0.0014492253520096*x5 + 0.00249866440001655*x6 + 0.00430804206899406*x7 + 0.00742765873964493* x8 + 0.0128063081718016*x9 + 0.02207984167552*x10 + 0.038068692544*x11 + 0.0656356768*x12 + 0.11316496*x13 + 0.195112*x14 + 0.3364*x15 + 0.58*x16 + x17),0) + IfThen(0,sqr(1 + 0.000164001528991152*x1 + 0.000282761256881297*x2 + 0.00048751940841603*x3 + 0.000840550704165568*x4 + 0.0014492253520096*x5 + 0.00249866440001655*x6 + 0.00430804206899406*x7 + 0.00742765873964493*x8 + 0.0128063081718016*x9 + 0.02207984167552*x10 + 0.038068692544*x11 + 0.0656356768*x12 + 0.11316496*x13 + 0.195112*x14 + 0.3364*x15 + 0.58*x16 + x17),0) + IfThen(0,sqr((-1) + 0.0002821109907456*x1 + 0.000470184984576*x2 + 0.00078364164096*x3 + 0.0013060694016*x4 + 0.002176782336*x5 + 0.00362797056*x6 + 0.0060466176* x7 + 0.010077696*x8 + 0.01679616*x9 + 0.0279936*x10 + 0.046656*x11 + 0.07776*x12 + 0.1296*x13 + 0.216*x14 + 0.36*x15 + 0.6*x16 + x17),0) + IfThen(0,sqr(1 + 0.0002821109907456*x1 + 0.000470184984576*x2 + 0.00078364164096*x3 + 0.0013060694016*x4 + 0.002176782336*x5 + 0.00362797056*x6 + 0.0060466176*x7 + 0.010077696*x8 + 0.01679616*x9 + 0.0279936*x10 + 0.046656*x11 + 0.07776*x12 + 0.1296*x13 + 0.216*x14 + 0.36 *x15 + 0.6*x16 + x17),0) + IfThen(0,sqr((-1) + 0.000476724017068235*x1 + 0.000768909704948767*x2 + 0.00124017694346575*x3 + 0.0020002853926867*x4 + 0.0032262667623979*x5 + 0.00520365606838371*x6 + 0.0083929936586834*x7 + 0.0135370865462636*x8 + 0.0218340105584896*x9 + 0.03521614606208*x10 + 0.056800235584*x11 + 0.0916132832*x12 + 0.14776336*x13 + 0.238328*x14 + 0.3844*x15 + 0.62*x16 + x17),0) + IfThen(0,sqr(1 + 0.000476724017068235*x1 + 0.000768909704948767*x2 + 0.00124017694346575*x3 + 0.0020002853926867* x4 + 0.0032262667623979*x5 + 0.00520365606838371*x6 + 0.0083929936586834* x7 + 0.0135370865462636*x8 + 0.0218340105584896*x9 + 0.03521614606208*x10 + 0.056800235584*x11 + 0.0916132832*x12 + 0.14776336*x13 + 0.238328*x14 + 0.3844*x15 + 0.62*x16 + x17),0) + IfThen(0,sqr((-1) + 0.000792281625142644*x1 + 0.00123794003928538*x2 + 0.00193428131138341*x3 + 0.00302231454903657*x4 + 0.00472236648286965*x5 + 0.00737869762948382* x6 + 0.0115292150460685*x7 + 0.018014398509482*x8 + 0.0281474976710656*x9 + 0.04398046511104*x10 + 0.068719476736*x11 + 0.1073741824*x12 + 0.16777216*x13 + 0.262144*x14 + 0.4096*x15 + 0.64*x16 + x17),0) + IfThen(0 ,sqr(1 + 0.000792281625142644*x1 + 0.00123794003928538*x2 + 0.00193428131138341*x3 + 0.00302231454903657*x4 + 0.00472236648286965*x5 + 0.00737869762948382*x6 + 0.0115292150460685*x7 + 0.018014398509482*x8 + 0.0281474976710656*x9 + 0.04398046511104*x10 + 0.068719476736*x11 + 0.1073741824*x12 + 0.16777216*x13 + 0.262144*x14 + 0.4096*x15 + 0.64*x16 + x17),0) + IfThen(0,sqr((-1) + 0.0012962923816305*x1 + 0.00196407936610682*x2 + 0.00297587782743458*x3 + 0.0045089057991433*x4 + 0.00683167545324743*x5 + 0.0103510234140113*x6 + 0.015683368809108*x7 + 0.0237626800137999*x8 + 0.0360040606269696*x9 + 0.05455160701056*x10 + 0.082653950016*x11 + 0.1252332576*x12 + 0.18974736*x13 + 0.287496*x14 + 0.4356*x15 + 0.66*x16 + x17),0) + IfThen(0,sqr(1 + 0.0012962923816305*x1 + 0.00196407936610682*x2 + 0.00297587782743458*x3 + 0.0045089057991433*x4 + 0.00683167545324743*x5 + 0.0103510234140113*x6 + 0.015683368809108*x7 + 0.0237626800137999*x8 + 0.0360040606269696*x9 + 0.05455160701056*x10 + 0.082653950016*x11 + 0.1252332576*x12 + 0.18974736*x13 + 0.287496*x14 + 0.4356*x15 + 0.66*x16 + x17),0) + IfThen(0,sqr((-1) + 0.0020899822769037* x1 + 0.0030735033483878*x2 + 0.00451985786527618*x3 + 0.00664684980187673* x4 + 0.00977477912040695*x5 + 0.014374675177069*x6 + 0.0211392282015721*x7 + 0.0310871002964296*x8 + 0.0457163239653376*x9 + 0.06722988818432*x10 + 0.0988674826240001*x11 + 0.1453933568*x12 + 0.21381376*x13 + 0.314432*x14 + 0.4624*x15 + 0.68*x16 + x17),0) + IfThen(0,sqr(1 + 0.0020899822769037* x1 + 0.0030735033483878*x2 + 0.00451985786527618*x3 + 0.00664684980187673* x4 + 0.00977477912040695*x5 + 0.014374675177069*x6 + 0.0211392282015721*x7 + 0.0310871002964296*x8 + 0.0457163239653376*x9 + 0.06722988818432*x10 + 0.0988674826240001*x11 + 0.1453933568*x12 + 0.21381376*x13 + 0.314432*x14 + 0.4624*x15 + 0.68*x16 + x17),0) + IfThen(0,sqr((-1) + 0.0033232930569601*x1 + 0.00474756150994301*x2 + 0.00678223072849001*x3 + 0.00968890104070001*x4 + 0.013841287201*x5 + 0.01977326743*x6 + 0.0282475249*x7 + 0.040353607*x8 + 0.05764801*x9 + 0.0823543*x10 + 0.117649*x11 + 0.16807*x12 + 0.2401*x13 + 0.343*x14 + 0.49*x15 + 0.7*x16 + x17),0) + IfThen(0,sqr(1 + 0.0033232930569601*x1 + 0.00474756150994301* x2 + 0.00678223072849001*x3 + 0.00968890104070001*x4 + 0.013841287201*x5 + 0.01977326743*x6 + 0.0282475249*x7 + 0.040353607*x8 + 0.05764801*x9 + 0.0823543*x10 + 0.117649*x11 + 0.16807*x12 + 0.2401*x13 + 0.343*x14 + 0.49 *x15 + 0.7*x16 + x17),0) + IfThen(0,sqr((-1) + 0.00521578814501447*x1 + 0.00724415020140899*x2 + 0.0100613197241791*x3 + 0.013974055172471*x4 + 0.0194084099617653*x5 + 0.0269561249468963*x6 + 0.0374390624262449*x7 + 0.051998697814229*x8 + 0.0722204136308736*x9 + 0.10030613004288*x10 + 0.139314069504*x11 + 0.1934917632*x12 + 0.26873856*x13 + 0.373248*x14 + 0.5184*x15 + 0.72*x16 + x17),0) + IfThen(0,sqr(1 + 0.00521578814501447*x1 + 0.00724415020140899*x2 + 0.0100613197241791*x3 + 0.013974055172471*x4 + 0.0194084099617653*x5 + 0.0269561249468963*x6 + 0.0374390624262449*x7 + 0.051998697814229*x8 + 0.0722204136308736*x9 + 0.10030613004288*x10 + 0.139314069504*x11 + 0.1934917632*x12 + 0.26873856*x13 + 0.373248*x14 + 0.5184*x15 + 0.72*x16 + x17),0) + IfThen(0,sqr((-1) + 0.00808551180810136* x1 + 0.0109263673082451*x2 + 0.0147653612273582*x3 + 0.0199531908477814*x4 + 0.0269637714159208*x5 + 0.0364375289404335*x6 + 0.0492399039735588*x7 + 0.0665404107750794*x8 + 0.0899194740203776*x9 + 0.12151280273024*x10 + 0.164206490176*x11 + 0.2219006624*x12 + 0.29986576*x13 + 0.405224*x14 + 0.5476*x15 + 0.74*x16 + x17),0) + IfThen(0,sqr(1 + 0.00808551180810136*x1 + 0.0109263673082451*x2 + 0.0147653612273582*x3 + 0.0199531908477814*x4 + 0.0269637714159208*x5 + 0.0364375289404335*x6 + 0.0492399039735588*x7 + 0.0665404107750794*x8 + 0.0899194740203776*x9 + 0.12151280273024*x10 + 0.164206490176*x11 + 0.2219006624*x12 + 0.29986576*x13 + 0.405224*x14 + 0.5476*x15 + 0.74*x16 + x17),0) + IfThen(0,sqr((-1) + 0.0123884643808494* x1 + 0.0163006110274335*x2 + 0.0214481724045177*x3 + 0.0282212794796286*x4 + 0.0371332624731955*x5 + 0.0488595558857836*x6 + 0.0642888893233994*x7 + 0.0845906438465782*x8 + 0.111303478745498*x9 + 0.14645194571776*x10 + 0.192699928576*x11 + 0.2535525376*x12 + 0.33362176*x13 + 0.438976*x14 + 0.5776*x15 + 0.76*x16 + x17),0) + IfThen(0,sqr(1 + 0.0123884643808494*x1 + 0.0163006110274335*x2 + 0.0214481724045177*x3 + 0.0282212794796286*x4 + 0.0371332624731955*x5 + 0.0488595558857836*x6 + 0.0642888893233994*x7 + 0.0845906438465782*x8 + 0.111303478745498*x9 + 0.14645194571776*x10 + 0.192699928576*x11 + 0.2535525376*x12 + 0.33362176*x13 + 0.438976*x14 + 0.5776*x15 + 0.76*x16 + x17),0) + IfThen(0,sqr((-1) + 0.0187721338875245* x1 + 0.0240668383173391*x2 + 0.0308549209196655*x3 + 0.039557590922648*x4 + 0.0507148601572411*x5 + 0.0650190514836424*x6 + 0.083357758312362*x7 + 0.106868920913285*x8 + 0.137011437068314*x9 + 0.17565568854912*x10 + 0.225199600704*x11 + 0.2887174368*x12 + 0.37015056*x13 + 0.474552*x14 + 0.6084*x15 + 0.78*x16 + x17),0) + IfThen(0,sqr(1 + 0.0187721338875245*x1 + 0.0240668383173391*x2 + 0.0308549209196655*x3 + 0.039557590922648*x4 + 0.0507148601572411*x5 + 0.0650190514836424*x6 + 0.083357758312362*x7 + 0.106868920913285*x8 + 0.137011437068314*x9 + 0.17565568854912*x10 + 0.225199600704*x11 + 0.2887174368*x12 + 0.37015056*x13 + 0.474552*x14 + 0.6084*x15 + 0.78*x16 + x17),0) + IfThen(0,sqr((-1) + 0.0281474976710656* x1 + 0.0351843720888321*x2 + 0.0439804651110401*x3 + 0.0549755813888001*x4 + 0.0687194767360001*x5 + 0.0858993459200001*x6 + 0.1073741824*x7 + 0.134217728*x8 + 0.16777216*x9 + 0.2097152*x10 + 0.262144*x11 + 0.32768* x12 + 0.4096*x13 + 0.512*x14 + 0.64*x15 + 0.8*x16 + x17),0) + IfThen(0, sqr(1 + 0.0281474976710656*x1 + 0.0351843720888321*x2 + 0.0439804651110401 *x3 + 0.0549755813888001*x4 + 0.0687194767360001*x5 + 0.0858993459200001* x6 + 0.1073741824*x7 + 0.134217728*x8 + 0.16777216*x9 + 0.2097152*x10 + 0.262144*x11 + 0.32768*x12 + 0.4096*x13 + 0.512*x14 + 0.64*x15 + 0.8*x16 + x17),0) + IfThen(0,sqr((-1) + 0.0417851185002271*x1 + 0.0509574615856428*x2 + 0.0621432458361497*x3 + 0.075784446141646*x4 + 0.0924200562703*x5 + 0.112707385695488*x6 + 0.137448031335961*x7 + 0.167619550409708*x8 + 0.204414085865498*x9 + 0.24928547056768*x10 + 0.304006671424*x11 + 0.3707398432*x12 + 0.45212176*x13 + 0.551368*x14 + 0.6724*x15 + 0.82*x16 + x17),0) + IfThen(0,sqr(1 + 0.0417851185002271*x1 + 0.0509574615856428*x2 + 0.0621432458361497*x3 + 0.075784446141646*x4 + 0.0924200562703*x5 + 0.112707385695488*x6 + 0.137448031335961*x7 + 0.167619550409708*x8 + 0.204414085865498*x9 + 0.24928547056768*x10 + 0.304006671424*x11 + 0.3707398432*x12 + 0.45212176*x13 + 0.551368*x14 + 0.6724*x15 + 0.82*x16 + x17),0) + IfThen(0,sqr((-1) + 0.0614424573927088* x1 + 0.0731457826103676*x2 + 0.08707831263139*x3 + 0.103664657894512*x4 + 0.123410307017276*x5 + 0.146917032163424*x6 + 0.174901228765981*x7 + 0.20821574853093*x8 + 0.247875891108249*x9 + 0.29509034655744*x10 + 0.351298031616*x11 + 0.4182119424*x12 + 0.49787136*x13 + 0.592704*x14 + 0.7056*x15 + 0.84*x16 + x17),0) + IfThen(0,sqr(1 + 0.0614424573927088*x1 + 0.0731457826103676*x2 + 0.08707831263139*x3 + 0.103664657894512*x4 + 0.123410307017276*x5 + 0.146917032163424*x6 + 0.174901228765981*x7 + 0.20821574853093*x8 + 0.247875891108249*x9 + 0.29509034655744*x10 + 0.351298031616*x11 + 0.4182119424*x12 + 0.49787136*x13 + 0.592704*x14 + 0.7056*x15 + 0.84*x16 + x17),0) + IfThen(0,sqr((-1) + 0.0895313679019619* x1 + 0.104106241746467*x2 + 0.121053769472636*x3 + 0.140760197061205*x4 + 0.163674647745587*x5 + 0.190319357843706*x6 + 0.221301578888031*x7 + 0.257327417311663*x8 + 0.299217927106585*x9 + 0.34792782221696*x10 + 0.404567235136*x11 + 0.4704270176*x12 + 0.54700816*x13 + 0.636056*x14 + 0.7396*x15 + 0.86*x16 + x17),0) + IfThen(0,sqr(1 + 0.0895313679019619*x1 + 0.104106241746467*x2 + 0.121053769472636*x3 + 0.140760197061205*x4 + 0.163674647745587*x5 + 0.190319357843706*x6 + 0.221301578888031*x7 + 0.257327417311663*x8 + 0.299217927106585*x9 + 0.34792782221696*x10 + 0.404567235136*x11 + 0.4704270176*x12 + 0.54700816*x13 + 0.636056*x14 + 0.7396*x15 + 0.86*x16 + x17),0) + IfThen(0,sqr((-1) + 0.129336991432099*x1 + 0.146973853900113*x2 + 0.16701574306831*x3 + 0.189790617123079*x4 + 0.215671155821681*x5 + 0.245080858888274*x6 + 0.278500976009402*x7 + 0.316478381828866*x8 + 0.35963452480553*x9 + 0.40867559636992*x10 + 0.464404086784*x11 + 0.5277319168*x12 + 0.59969536*x13 + 0.681472*x14 + 0.7744*x15 + 0.88*x16 + x17),0) + IfThen(0,sqr(1 + 0.129336991432099*x1 + 0.146973853900113*x2 + 0.16701574306831*x3 + 0.189790617123079*x4 + 0.215671155821681*x5 + 0.245080858888274*x6 + 0.278500976009402*x7 + 0.316478381828866*x8 + 0.35963452480553*x9 + 0.40867559636992*x10 + 0.464404086784*x11 + 0.5277319168*x12 + 0.59969536*x13 + 0.681472*x14 + 0.7744*x15 + 0.88*x16 + x17),0) + IfThen(0,sqr((-1) + 0.185302018885184*x1 + 0.205891132094649*x2 + 0.22876792454961*x3 + 0.2541865828329*x4 + 0.282429536481*x5 + 0.31381059609*x6 + 0.3486784401*x7 + 0.387420489*x8 + 0.43046721*x9 + 0.4782969*x10 + 0.531441*x11 + 0.59049*x12 + 0.6561*x13 + 0.729*x14 + 0.81*x15 + 0.9*x16 + x17),0) + IfThen(0,sqr(1 + 0.185302018885184*x1 + 0.205891132094649*x2 + 0.22876792454961*x3 + 0.2541865828329*x4 + 0.282429536481*x5 + 0.31381059609*x6 + 0.3486784401* x7 + 0.387420489*x8 + 0.43046721*x9 + 0.4782969*x10 + 0.531441*x11 + 0.59049*x12 + 0.6561*x13 + 0.729*x14 + 0.81*x15 + 0.9*x16 + x17),0) + IfThen(0,sqr((-1) + 0.263393611744589*x1 + 0.286297404070205*x2 + 0.311192830511092*x3 + 0.338253076642492*x4 + 0.367666387654882*x5 + 0.399637377885742*x6 + 0.434388454223632*x7 + 0.472161363286557*x8 + 0.513218873137562*x9 + 0.55784660123648*x10 + 0.606355001344*x11 + 0.6590815232*x12 + 0.71639296*x13 + 0.778688*x14 + 0.8464*x15 + 0.92*x16 + x17),0) + IfThen(0,sqr(1 + 0.263393611744589*x1 + 0.286297404070205*x2 + 0.311192830511092*x3 + 0.338253076642492*x4 + 0.367666387654882*x5 + 0.399637377885742*x6 + 0.434388454223632*x7 + 0.472161363286557*x8 + 0.513218873137562*x9 + 0.55784660123648*x10 + 0.606355001344*x11 + 0.6590815232*x12 + 0.71639296*x13 + 0.778688*x14 + 0.8464*x15 + 0.92*x16 + x17),0) + IfThen(0,sqr((-1) + 0.371574290834101*x1 + 0.395291798759682* x2 + 0.420523190169875*x3 + 0.447365095925399*x4 + 0.475920314814254*x5 + 0.506298207249206*x6 + 0.5386151140949*x7 + 0.572994802228617*x8 + 0.609568938541082*x9 + 0.64847759419264*x10 + 0.689869781056*x11 + 0.7339040224*x12 + 0.78074896*x13 + 0.830584*x14 + 0.8836*x15 + 0.94*x16 + x17),0) + IfThen(0,sqr(1 + 0.371574290834101*x1 + 0.395291798759682*x2 + 0.420523190169875*x3 + 0.447365095925399*x4 + 0.475920314814254*x5 + 0.506298207249206*x6 + 0.5386151140949*x7 + 0.572994802228617*x8 + 0.609568938541082*x9 + 0.64847759419264*x10 + 0.689869781056*x11 + 0.7339040224*x12 + 0.78074896*x13 + 0.830584*x14 + 0.8836*x15 + 0.94*x16 + x17),0) + IfThen(0,sqr((-1) + 0.520402924666473*x1 + 0.542086379860909* x2 + 0.564673312355114*x3 + 0.588201367036577*x4 + 0.612709757329767*x5 + 0.638239330551841*x6 + 0.664832635991501*x7 + 0.69253399582448*x8 + 0.721389578983834*x9 + 0.75144747810816*x10 + 0.782757789696*x11 + 0.8153726976*x12 + 0.84934656*x13 + 0.884736*x14 + 0.9216*x15 + 0.96*x16 + x17),0) + IfThen(0,sqr(1 + 0.520402924666473*x1 + 0.542086379860909*x2 + 0.564673312355114*x3 + 0.588201367036577*x4 + 0.612709757329767*x5 + 0.638239330551841*x6 + 0.664832635991501*x7 + 0.69253399582448*x8 + 0.721389578983834*x9 + 0.75144747810816*x10 + 0.782757789696*x11 + 0.8153726976*x12 + 0.84934656*x13 + 0.884736*x14 + 0.9216*x15 + 0.96*x16 + x17),0) + IfThen(0,sqr((-1) + 0.723797720592495*x1 + 0.738569102645404* x2 + 0.753641941474902*x3 + 0.769022389260104*x4 + 0.7847167237348*x5 + 0.800731350749796*x6 + 0.817072806887547*x7 + 0.83374776213015*x8 + 0.850763022581785*x9 + 0.86812553324672*x10 + 0.885842380864*x11 + 0.9039207968*x12 + 0.92236816*x13 + 0.941192*x14 + 0.9604*x15 + 0.98*x16 + x17),0) + IfThen(0,sqr(1 + 0.723797720592495*x1 + 0.738569102645404*x2 + 0.753641941474902*x3 + 0.769022389260104*x4 + 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2331.79021735221*x3 + 1340.10932031736*x4 + 770.177770297335*x5 + 442.630902469733*x6 + 254.38557613203*x7 + 146.198606972431*x8 + 84.0221879151903*x9 + 48.2886137443623*x10 + 27.752076864576*x11 + 15.9494694624*x12 + 9.16636176*x13 + 5.268024*x14 + 3.0276*x15 + 1.74*x16 + x17),0) + IfThen(0,sqr(1 + 7059.72806205555*x1 + 4057.31497819285*x2 + 2331.79021735221*x3 + 1340.10932031736*x4 + 770.177770297335*x5 + 442.630902469733*x6 + 254.38557613203*x7 + 146.198606972431*x8 + 84.0221879151903*x9 + 48.2886137443623*x10 + 27.752076864576*x11 + 15.9494694624*x12 + 9.16636176*x13 + 5.268024*x14 + 3.0276*x15 + 1.74*x16 + x17),0) + IfThen(0,sqr((-1) + 8476.22907049405*x1 + 4816.03924459889*x2 + 2736.38593443119*x3 + 1554.76473547227*x4 + 883.389054245605*x5 + 501.925599003185*x6 + 285.184999433628*x7 + 162.036931496379*x8 + 92.0664383502156*x9 + 52.3104763353498*x10 + 29.721861554176*x11 + 16.8874213376*x12 + 9.59512576*x13 + 5.451776*x14 + 3.0976*x15 + 1.76*x16 + x17),0) + IfThen(0,sqr(1 + 8476.22907049405*x1 + 4816.03924459889*x2 + 2736.38593443119*x3 + 1554.76473547227*x4 + 883.389054245605*x5 + 501.925599003185*x6 + 285.184999433628*x7 + 162.036931496379*x8 + 92.0664383502156*x9 + 52.3104763353498*x10 + 29.721861554176*x11 + 16.8874213376*x12 + 9.59512576*x13 + 5.451776*x14 + 3.0976*x15 + 1.76*x16 + x17),0) + IfThen(0,sqr((-1) + 10155.9379068053*x1 + 5705.58309371083*x2 + 3205.3837605117*x3 + 1800.7773935459*x4 + 1011.67269300331*x5 + 568.35544550748*x6 + 319.300812082854*x7 + 179.382478698232*x8 + 100.776673425973*x9 + 56.6161086662771*x10 + 31.806802621504*x11 + 17.8689902368*x12 + 10.03875856*x13 + 5.639752*x14 + 3.1684*x15 + 1.78*x16 + x17),0) + IfThen(0,sqr(1 + 10155.9379068053*x1 + 5705.58309371083*x2 + 3205.3837605117*x3 + 1800.7773935459*x4 + 1011.67269300331*x5 + 568.35544550748*x6 + 319.300812082854*x7 + 179.382478698232*x8 + 100.776673425973*x9 + 56.6161086662771*x10 + 31.806802621504*x11 + 17.8689902368*x12 + 10.03875856*x13 + 5.639752*x14 + 3.1684*x15 + 1.78*x16 + x17),0) + IfThen(0,sqr((-1) + 12143.9531096594* x1 + 6746.64061647746*x2 + 3748.13367582081*x3 + 2082.29648656712*x4 + 1156.83138142618*x5 + 642.68410079232*x6 + 357.0467226624*x7 + 198.359290368*x8 + 110.19960576*x9 + 61.2220032*x10 + 34.012224*x11 + 18.89568*x12 + 10.4976*x13 + 5.832*x14 + 3.24*x15 + 1.8*x16 + x17),0) + IfThen(0,sqr(1 + 12143.9531096594*x1 + 6746.64061647746*x2 + 3748.13367582081*x3 + 2082.29648656712*x4 + 1156.83138142618*x5 + 642.68410079232*x6 + 357.0467226624*x7 + 198.359290368*x8 + 110.19960576* x9 + 61.2220032*x10 + 34.012224*x11 + 18.89568*x12 + 10.4976*x13 + 5.832* x14 + 3.24*x15 + 1.8*x16 + x17),0) + IfThen(0,sqr((-1) + 14492.463250043* x1 + 7962.89189562803*x2 + 4375.21532726815*x3 + 2403.96446553195*x4 + 1320.85959644613*x5 + 725.747031014355*x6 + 398.762104952942*x7 + 219.100057666452*x8 + 120.384647069479*x9 + 66.1454104777357*x10 + 36.343632130624*x11 + 19.9690286432*x12 + 10.97199376*x13 + 6.028568*x14 + 3.3124*x15 + 1.82*x16 + x17),0) + IfThen(0,sqr(1 + 14492.463250043*x1 + 7962.89189562803*x2 + 4375.21532726815*x3 + 2403.96446553195*x4 + 1320.85959644613*x5 + 725.747031014355*x6 + 398.762104952942*x7 + 219.100057666452*x8 + 120.384647069479*x9 + 66.1454104777357*x10 + 36.343632130624*x11 + 19.9690286432*x12 + 10.97199376*x13 + 6.028568*x14 + 3.3124*x15 + 1.82*x16 + x17),0) + IfThen(0,sqr((-1) + 17261.7637392934* x1 + 9381.39333657248*x2 + 5098.58333509374*x3 + 2770.96920385529*x4 + 1505.9615238344*x5 + 818.457349909999*x6 + 444.813777124999*x7 + 241.746618002717*x8 + 131.384031523216*x9 + 71.4043649582695*x10 + 38.806720086016*x11 + 21.0906087424*x12 + 11.46228736*x13 + 6.229504*x14 + 3.3856*x15 + 1.84*x16 + x17),0) + IfThen(0,sqr(1 + 17261.7637392934*x1 + 9381.39333657248*x2 + 5098.58333509374*x3 + 2770.96920385529*x4 + 1505.9615238344*x5 + 818.457349909999*x6 + 444.813777124999*x7 + 241.746618002717*x8 + 131.384031523216*x9 + 71.4043649582695*x10 + 38.806720086016*x11 + 21.0906087424*x12 + 11.46228736*x13 + 6.229504*x14 + 3.3856*x15 + 1.84*x16 + x17),0) + IfThen(0,sqr((-1) + 20521.4057567356* x1 + 11033.0138477073*x2 + 5931.72787511145*x3 + 3189.10100812444*x4 + 1714.5704344755*x5 + 921.81206154597*x6 + 495.597882551597*x7 + 266.450474490106*x8 + 143.25294327425*x9 + 77.017711437769*x10 + 41.407371740736*x11 + 22.2620278176*x12 + 11.96883216*x13 + 6.434856*x14 + 3.4596*x15 + 1.86*x16 + x17),0) + IfThen(0,sqr(1 + 20521.4057567356*x1 + 11033.0138477073*x2 + 5931.72787511145*x3 + 3189.10100812444*x4 + 1714.5704344755*x5 + 921.81206154597*x6 + 495.597882551597*x7 + 266.450474490106*x8 + 143.25294327425*x9 + 77.017711437769*x10 + 41.407371740736*x11 + 22.2620278176*x12 + 11.96883216*x13 + 6.434856*x14 + 3.4596*x15 + 1.86*x16 + x17),0) + IfThen(0,sqr((-1) + 24351.4927241037* x1 + 12952.9216617573*x2 + 6889.85194774323*x3 + 3664.81486582087*x4 + 1949.36960947918*x5 + 1036.89872844637*x6 + 551.541876833178*x7 + 293.373338741052*x8 + 156.049648266517*x9 + 83.005132056658*x10 + 44.151665987584*x11 + 23.4849287168*x12 + 12.49198336*x13 + 6.644672*x14 + 3.5344*x15 + 1.88*x16 + x17),0) + IfThen(0,sqr(1 + 24351.4927241037*x1 + 12952.9216617573*x2 + 6889.85194774323*x3 + 3664.81486582087*x4 + 1949.36960947918*x5 + 1036.89872844637*x6 + 551.541876833178*x7 + 293.373338741052*x8 + 156.049648266517*x9 + 83.005132056658*x10 + 44.151665987584*x11 + 23.4849287168*x12 + 12.49198336*x13 + 6.644672*x14 + 3.5344*x15 + 1.88*x16 + x17),0) + IfThen(0,sqr((-1) + 28844.1413567621* x1 + 15181.1270298748*x2 + 7990.06685782885*x3 + 4205.29834622571*x4 + 2213.31491906616*x5 + 1164.90258898219*x6 + 613.1066257801*x7 + 322.687697779*x8 + 169.83563041*x9 + 89.3871739*x10 + 47.045881*x11 + 24.76099*x12 + 13.0321*x13 + 6.859*x14 + 3.61*x15 + 1.9*x16 + x17),0) + IfThen(0,sqr(1 + 28844.1413567621*x1 + 15181.1270298748*x2 + 7990.06685782885*x3 + 4205.29834622571*x4 + 2213.31491906616*x5 + 1164.90258898219*x6 + 613.1066257801*x7 + 322.687697779*x8 + 169.83563041* x9 + 89.3871739*x10 + 47.045881*x11 + 24.76099*x12 + 13.0321*x13 + 6.859* x14 + 3.61*x15 + 1.9*x16 + x17),0) + IfThen(0,sqr((-1) + 34105.126070942* x1 + 17763.0864952823*x2 + 9251.60754962618*x3 + 4818.54559876364*x4 + 2509.65916602273*x5 + 1307.11414897017*x6 + 680.788619255297*x7 + 354.577405862134*x8 + 184.675732219861*x9 + 96.1852771978445*x10 + 50.096498540544*x11 + 26.0919263232*x12 + 13.58954496*x13 + 7.077888*x14 + 3.6864*x15 + 1.92*x16 + x17),0) + IfThen(0,sqr(1 + 34105.126070942*x1 + 17763.0864952823*x2 + 9251.60754962618*x3 + 4818.54559876364*x4 + 2509.65916602273*x5 + 1307.11414897017*x6 + 680.788619255297*x7 + 354.577405862134*x8 + 184.675732219861*x9 + 96.1852771978445*x10 + 50.096498540544*x11 + 26.0919263232*x12 + 13.58954496*x13 + 7.077888*x14 + 3.6864*x15 + 1.92*x16 + x17),0) + IfThen(0,sqr((-1) + 40255.7274333306* x1 + 20750.3749656343*x2 + 10696.0695699146*x3 + 5513.43792263639*x4 + 2841.97831063731*x5 + 1464.93727352439*x6 + 755.122305940406*x7 + 389.238302031137*x8 + 200.63830001605*x9 + 103.421804131985*x10 + 53.310208315456*x11 + 27.4794888224*x12 + 14.16468496*x13 + 7.301384*x14 + 3.7636*x15 + 1.94*x16 + x17),0) + IfThen(0,sqr(1 + 40255.7274333306*x1 + 20750.3749656343*x2 + 10696.0695699146*x3 + 5513.43792263639*x4 + 2841.97831063731*x5 + 1464.93727352439*x6 + 755.122305940406*x7 + 389.238302031137*x8 + 200.63830001605*x9 + 103.421804131985*x10 + 53.310208315456*x11 + 27.4794888224*x12 + 14.16468496*x13 + 7.301384*x14 + 3.7636*x15 + 1.94*x16 + x17),0) + IfThen(0,sqr((-1) + 47434.8074167498* x1 + 24201.4323554846*x2 + 12347.6695691248*x3 + 6299.83141281877*x4 + 3214.19970041774*x5 + 1639.89780633558*x6 + 836.682554252848*x7 + 426.878854210637*x8 + 217.795333780937*x9 + 111.12006825558*x10 + 56.693912375296*x11 + 28.9254654976*x12 + 14.75789056*x13 + 7.529536*x14 + 3.8416*x15 + 1.96*x16 + x17),0) + IfThen(0,sqr(1 + 47434.8074167498*x1 + 24201.4323554846*x2 + 12347.6695691248*x3 + 6299.83141281877*x4 + 3214.19970041774*x5 + 1639.89780633558*x6 + 836.682554252848*x7 + 426.878854210637*x8 + 217.795333780937*x9 + 111.12006825558*x10 + 56.693912375296*x11 + 28.9254654976*x12 + 14.75789056*x13 + 7.529536*x14 + 3.8416*x15 + 1.96*x16 + x17),0) + IfThen(0,sqr((-1) + 55801.1364864738* x1 + 28182.3921648857*x2 + 14233.5313964069*x3 + 7188.65222040754*x4 + 3630.63243454926*x5 + 1833.65274472185*x6 + 926.087244809016*x7 + 467.720830711624*x8 + 236.222641773548*x9 + 119.304364532095*x10 + 60.254729561664*x11 + 30.4316815968*x12 + 15.36953616*x13 + 7.762392*x14 + 3.9204*x15 + 1.98*x16 + x17),0) + IfThen(0,sqr(1 + 55801.1364864738*x1 + 28182.3921648857*x2 + 14233.5313964069*x3 + 7188.65222040754*x4 + 3630.63243454926*x5 + 1833.65274472185*x6 + 926.087244809016*x7 + 467.720830711624*x8 + 236.222641773548*x9 + 119.304364532095*x10 + 60.254729561664*x11 + 30.4316815968*x12 + 15.36953616*x13 + 7.762392*x14 + 3.9204*x15 + 1.98*x16 + x17),0) + IfThen(0,sqr((-1) + 65536*x1 + 32768* x2 + 16384*x3 + 8192*x4 + 4096*x5 + 2048*x6 + 1024*x7 + 512*x8 + 256*x9 + 128*x10 + 64*x11 + 32*x12 + 16*x13 + 8*x14 + 4*x15 + 2*x16 + x17),0) + IfThen(0,sqr(1 + 65536*x1 + 32768*x2 + 16384*x3 + 8192*x4 + 4096*x5 + 2048 *x6 + 1024*x7 + 512*x8 + 256*x9 + 128*x10 + 64*x11 + 32*x12 + 16*x13 + 8* x14 + 4*x15 + 2*x16 + x17),0)) + objvar =E= 0; * set non default bounds x1.lo = -32768; x1.up = 32768; x2.lo = -32768; x2.up = 32768; x3.lo = -32768; x3.up = 32768; x4.lo = -32768; x4.up = 32768; x5.lo = -32768; x5.up = 32768; x6.lo = -32768; x6.up = 32768; x7.lo = -32768; x7.up = 32768; x8.lo = -32768; x8.up = 32768; x9.lo = -32768; x9.up = 32768; x10.lo = -32768; x10.up = 32768; x11.lo = -32768; x11.up = 32768; x12.lo = -32768; x12.up = 32768; x13.lo = -32768; x13.up = 32768; x14.lo = -32768; x14.up = 32768; x15.lo = -32768; x15.up = 32768; x16.lo = -32768; x16.up = 32768; x17.lo = -32768; x17.up = 32768; * set non default levels * set non default marginals $if not set startsol $goto cont $goto %startsol% $label sol1 x1.l = 32768.0000; x2.l = 0; x3.l = 22755.5556; x4.l = 0; x5.l = 15802.4691; x6.l = 0; x7.l = 10973.9369; x8.l = 0; x9.l = 7620.7895; x10.l = 0; x11.l = 5292.2149; x12.l = 0; x13.l = 3675.1493; x14.l = 0; x15.l = 2552.1870; x16.l = 0; x17.l = 1772.3521; objvar.l = 0; $goto cont $label cont Model m / all /; m.limrow=0; m.limcol=0; $if NOT '%gams.u1%' == '' $include '%gams.u1%' Solve m using DNLP minimizing objvar;