# Question:solve nonlinear system,

## Question:solve nonlinear system,

i want to solve these equations to find the 18 coefficents,how should i solve them to solve it in minimum time possible?

eq(1):= -2144447222.22*a(7)-1531751031.75*a(8)-1148816190.48*a(9)-584858207.070*a(12)-5003703703.71*a(18)-714823743.386*a(11)-893526455.026*a(10)-5361111111.11*a(17)-5744047619.05*a(16)-6433333333.35*a(13)-6433333333.34*a(14)-6126984126.99*a(15);

eq(2):=-1531747698.41*a(7)-1148812857.14*a(8)-4288888888.90*a(13)-4595238095.25*a(14)-4595238095.24*a(15)-4467592592.60*a(16)-4288888888.89*a(17)-4093939393.94*a(18)-487381515.151*a(12)-584855429.293*a(11)-714820767.195*a(10)-893523280.423*a(9);

eq(3):=-1148810634.92*a(7)-893520899.470*a(8)-3063492063.50*a(13)-3446428571.43*a(14)-3574074074.08*a(15)-3509090909.09*a(17)-3411616161.62*a(18)-3574074074.08*a(16)-412399526.029*a(12)-487379292.929*a(11)-584853114.478*a(10)-714818386.243*a(9);

eq(4):=-893519312.169*a(7)-714816600.529*a(8)-2297619047.62*a(13)-2680555555.56*a(14)-2859259259.26*a(15)-2924242424.24*a(16)-2924242424.24*a(17)-2886752136.75*a(18)-353485156.510*a(12)-412397707.847*a(11)-487377441.077*a(10)-584851262.626*a(9);

eq(5):=-714815410.053*a(7)-584849873.737*a(8)-1787037037.04*a(13)-2144444444.45*a(14)-2339393939.40*a(15)-306353693.529*a(12)-353483641.358*a(11)-412396192.696*a(10)-487375959.596*a(9)-2436868686.87*a(16)-2474358974.36*a(17)-2474358974.36*a(18);

eq(6):=-584848947.811*a(7)-487374848.485*a(8)-1429629629.63*a(13)-1754545454.55*a(14)-1949494949.50*a(15)-2061965811.97*a(16)-2120879120.88*a(17)-2144444444.45*a(18)-268059401.709*a(12)-306352411.477*a(11)-353482378.732*a(10)-412394980.575*a(9);

eq(7):=-33333333333.3*a(1)-60000000000.0*a(2)-80000000000.0*a(3)-95238095238.1*a(4)-107142857143.*a(5)-116666666667.*a(6)-230769230769.*a(17)^2-181818181818.*a(16)^2-133333333333.*a(15)^2-85714285714.3*a(14)^2-280000000000.*a(18)^2-40000000000.*a(13)^2-311111111111.*a(16)*a(15)-280000000000.*a(14)*a(17)-217777777778.*a(18)*a(13)-305454545455.*a(18)*a(14)-349090909091.*a(15)*a(17)-381818181818.*a(18)*a(15)-409090909091.*a(16)*a(17)-448717948718.*a(18)*a(16)-507692307692.*a(17)*a(18)-200000000000.*a(17)*a(13)-250000000000.*a(14)*a(16)-178571428571.*a(16)*a(13)-214285714286.*a(14)*a(15)-152380952381.*a(15)*a(13)-120000000000.*a(13)*a(14);

eq(8):=-20000000000.0*a(1)-40000000000.0*a(2)-57142857142.9*a(3)-71428571428.6*a(4)-83333333333.3*a(5)-93333333333.3*a(6)-197802197802.*a(17)^2-151515151515.*a(16)^2-106666666667.*a(15)^2-64285714285.7*a(14)^2-245000000000.*a(18)^2-26666666666.7*a(13)^2-254545454545.*a(16)*a(15)-229090909091.*a(14)*a(17)-178181818182.*a(18)*a(13)-254545454545.*a(18)*a(14)-290909090909.*a(15)*a(17)-323076923077.*a(18)*a(15)-346153846154.*a(16)*a(17)-384615384615.*a(18)*a(16)-440000000000.*a(17)*a(18)-160000000000.*a(17)*a(13)-200000000000.*a(14)*a(16)-138888888889.*a(16)*a(13)-166666666667.*a(14)*a(15)-114285714286.*a(15)*a(13)-85714285714.3*a(13)*a(14);

eq(9):=-13333333333.3*a(1)-28571428571.4*a(2)-42857142857.1*a(3)-55555555555.6*a(4)-66666666666.7*a(5)-76363636363.6*a(6)-171428571429.*a(17)^2-128205128205.*a(16)^2-87272727272.7*a(15)^2-50000000000.*a(14)^2-216176470588.*a(18)^2-19047619047.6*a(13)^2-212121212121.*a(16)*a(15)-190909090909.*a(14)*a(17)-148484848485.*a(18)*a(13)-215384615385.*a(18)*a(14)-246153846154.*a(15)*a(17)-276923076923.*a(18)*a(15)-296703296703.*a(16)*a(17)-333333333333.*a(18)*a(16)-385000000000.*a(17)*a(18)-130909090909.*a(17)*a(13)-163636363636.*a(14)*a(16)-111111111111.*a(16)*a(13)-133333333333.*a(14)*a(15)-88888888888.9*a(15)*a(13)-64285714285.7*a(13)*a(14);

eq(10):=-9523809523.81*a(1)-21428571428.6*a(2)-33333333333.3*a(3)-44444444444.4*a(4)-54545454545.5*a(5)-63636363636.4*a(6)-150000000000.*a(17)^2-109890109890.*a(16)^2-72727272727.3*a(15)^2-40000000000.*a(14)^2-192156862745.*a(18)^2-14285714285.7*a(13)^2-179487179487.*a(16)*a(15)-161538461538.*a(14)*a(17)-125641025641.*a(18)*a(13)-184615384615.*a(18)*a(14)-210989010989.*a(15)*a(17)-240000000000.*a(18)*a(15)-257142857143.*a(16)*a(17)-291666666667.*a(18)*a(16)-339705882353.*a(17)*a(18)-109090909091.*a(17)*a(13)-136363636364.*a(14)*a(16)-90909090909.1*a(16)*a(13)-109090909091.*a(14)*a(15)-71111111111.1*a(15)*a(13)-50000000000.*a(13)*a(14);

eq(11):=-7142857142.86*a(1)-16666666666.7*a(2)-26666666666.7*a(3)-36363636363.6*a(4)-45454545454.5*a(5)-53846153846.2*a(6)-132352941176.*a(17)^2-95238095238.1*a(16)^2-61538461538.5*a(15)^2-32727272727.3*a(14)^2-171929824561.*a(18)^2-11111111111.1*a(13)^2-153846153846.*a(16)*a(15)-138461538462.*a(14)*a(17)-107692307692.*a(18)*a(13)-160000000000.*a(18)*a(14)-182857142857.*a(15)*a(17)-210000000000.*a(18)*a(15)-225000000000.*a(16)*a(17)-257352941176.*a(18)*a(16)-301960784314.*a(17)*a(18)-92307692307.7*a(17)*a(13)-115384615385.*a(14)*a(16)-75757575757.6*a(16)*a(13)-90909090909.1*a(14)*a(15)-58181818181.8*a(15)*a(13)-40000000000.*a(13)*a(14);

eq(12):=-5555555555.56*a(1)-13333333333.3*a(2)-21818181818.2*a(3)-30303030303.0*a(4)-38461538461.5*a(5)-46153846153.8*a(6)-117647058824.*a(17)^2-83333333333.3*a(16)^2-52747252747.3*a(15)^2-27272727272.7*a(14)^2-154736842105.*a(18)^2-8888888888.89*a(13)^2-133333333333.*a(16)*a(15)-120000000000.*a(14)*a(17)-93333333333.3*a(18)*a(13)-140000000000.*a(18)*a(14)-160000000000.*a(15)*a(17)-185294117647.*a(18)*a(15)-198529411765.*a(16)*a(17)-228758169935.*a(18)*a(16)-270175438596.*a(17)*a(18)-79120879120.9*a(17)*a(13)-98901098901.1*a(14)*a(16)-64102564102.6*a(16)*a(13)-76923076923.1*a(14)*a(15)-48484848484.8*a(15)*a(13)-32727272727.3*a(13)*a(14);

eq(13):=-6433333333.35*a(7)-6433333333.34*a(8)-6126984126.99*a(9)-5744047619.05*a(10)-5361111111.11*a(11)-5003703703.71*a(12)-10722222222.3*a(13)-19300000000.0*a(14)-25733333333.3*a(15)-30634920634.9*a(16)-34464285714.3*a(17)-37527777777.8*a(18)-.326373626374e13*a(17)*a(16)*a(14)-.230769230769e13*a(17)*a(16)*a(13)-.276923076923e13*a(17)*a(15)*a(14)-.196363636364e13*a(17)*a(15)*a(13)-.157090909091e13*a(17)*a(14)*a(13)-.253846153846e13*a(18)*a(16)*a(13)-.304615384615e13*a(18)*a(15)*a(14)-.215384615385e13*a(18)*a(15)*a(13)-.171818181818e13*a(18)*a(14)*a(13)-.411428571429e13*a(17)*a(16)*a(15)-.455000000000e13*a(18)*a(16)*a(15)-.360000000000e13*a(18)*a(16)*a(14)-.617647058824e13*a(18)*a(17)*a(16)-.518823529412e13*a(18)*a(17)*a(15)-.409500000000e13*a(18)*a(17)*a(14)-.288000000000e13*a(18)*a(17)*a(13)-.245454545455e13*a(16)*a(15)*a(14)-.174545454545e13*a(16)*a(15)*a(13)-.140000000000e13*a(16)*a(14)*a(13)-.120000000000e13*a(15)*a(14)*a(13)-39.5847849349-714285714286.*a(16)^3-436363636364.*a(15)^3-225000000000.*a(14)^3-80000000000.0*a(13)^3-.147000000000e13*a(18)^3-.105882352941e13*a(17)^3-120000000000.*a(14)*a(1)-171428571429.*a(14)*a(2)-214285714286.*a(14)*a(3)-250000000000.*a(14)*a(4)-280000000000.*a(14)*a(5)-305454545455.*a(14)*a(6)-342857142857.*a(14)*a(13)^2-482142857143.*a(14)^2*a(13)-80000000000.0*a(13)*a(1)-120000000000.*a(13)*a(2)-152380952381.*a(13)*a(3)-178571428571.*a(13)*a(4)-200000000000.*a(13)*a(5)-217777777778.*a(13)*a(6)-217777777778.*a(18)*a(1)-305454545455.*a(18)*a(2)-381818181818.*a(18)*a(3)-448717948718.*a(18)*a(4)-507692307692.*a(18)*a(5)-560000000000.*a(18)*a(6)-.353684210526e13*a(18)*a(17)^2-.270220588235e13*a(18)*a(16)^2-.192000000000e13*a(18)*a(15)^2-.121153846154e13*a(18)*a(14)^2-610909090909.*a(18)*a(13)^2-.394578947368e13*a(18)^2*a(17)-.343859649123e13*a(18)^2*a(16)-.288235294118e13*a(18)^2*a(15)-.226985294118e13*a(18)^2*a(14)-.159250000000e13*a(18)^2*a(13)-200000000000.*a(17)*a(1)-280000000000.*a(17)*a(2)-349090909091.*a(17)*a(3)-409090909091.*a(17)*a(4)-461538461538.*a(17)*a(5)-507692307692.*a(17)*a(6)-.243750000000e13*a(17)*a(16)^2-.174065934066e13*a(17)*a(15)^2-.110454545455e13*a(17)*a(14)^2-560000000000.*a(17)*a(13)^2-.277941176471e13*a(17)^2*a(16)-.234000000000e13*a(17)^2*a(15)-.185142857143e13*a(17)^2*a(14)-.130549450549e13*a(17)^2*a(13)-178571428571.*a(16)*a(1)-250000000000.*a(16)*a(2)-311111111111.*a(16)*a(3)-363636363636.*a(16)*a(4)-409090909091.*a(16)*a(5)-448717948718.*a(16)*a(6)-.153846153846e13*a(16)*a(15)^2-981818181818.*a(16)*a(14)^2-500000000000.*a(16)*a(13)^2-.181318681319e13*a(16)^2*a(15)-.144230769231e13*a(16)^2*a(14)-.102272727273e13*a(16)^2*a(13)-152380952381.*a(15)*a(1)-214285714286.*a(15)*a(2)-266666666667.*a(15)*a(3)-311111111111.*a(15)*a(4)-349090909091.*a(15)*a(5)-381818181818.*a(15)*a(6)-840000000000.*a(15)*a(14)^2-428571428571.*a(15)*a(13)^2-.104727272727e13*a(15)^2*a(14)-746666666667.*a(15)^2*a(13);

eq(14):=-4288888888.90*a(7)-4595238095.25*a(8)-4595238095.24*a(9)-4467592592.60*a(10)-4288888888.89*a(11)-4093939393.94*a(12)-6433333333.35*a(13)-12866666666.7*a(14)-18380952380.9*a(15)-22976190476.2*a(16)-26805555555.5*a(17)-30022222222.2*a(18)-39.4067443488-.282857142857e13*a(17)*a(16)*a(14)-.197802197802e13*a(17)*a(16)*a(13)-.237362637363e13*a(17)*a(15)*a(14)-.166153846154e13*a(17)*a(15)*a(13)-.130909090909e13*a(17)*a(14)*a(13)-.220000000000e13*a(18)*a(16)*a(13)-.264000000000e13*a(18)*a(15)*a(14)-.184615384615e13*a(18)*a(15)*a(13)-.145384615385e13*a(18)*a(14)*a(13)-.360000000000e13*a(17)*a(16)*a(15)-.401470588235e13*a(18)*a(16)*a(15)-.315000000000e13*a(18)*a(16)*a(14)-.552631578947e13*a(18)*a(17)*a(16)-.461176470588e13*a(18)*a(17)*a(15)-.361323529412e13*a(18)*a(17)*a(14)-.252000000000e13*a(18)*a(17)*a(13)-.207692307692e13*a(16)*a(15)*a(14)-.145454545455e13*a(16)*a(15)*a(13)-.114545454545e13*a(16)*a(14)*a(13)-960000000000.*a(15)*a(14)*a(13)-625000000000.*a(16)^3-369230769231.*a(15)^3-180000000000.*a(14)^3-57142857142.9*a(13)^3-.133636363636e13*a(18)^3-947368421053.*a(17)^3-85714285714.3*a(14)*a(1)-128571428571.*a(14)*a(2)-166666666667.*a(14)*a(3)-200000000000.*a(14)*a(4)-229090909091.*a(14)*a(5)-254545454545.*a(14)*a(6)-257142857143.*a(14)*a(13)^2-375000000000.*a(14)^2*a(13)-53333333333.3*a(13)*a(1)-85714285714.3*a(13)*a(2)-114285714286.*a(13)*a(3)-138888888889.*a(13)*a(4)-160000000000.*a(13)*a(5)-178181818182.*a(13)*a(6)-178181818182.*a(18)*a(1)-254545454545.*a(18)*a(2)-323076923077.*a(18)*a(3)-384615384615.*a(18)*a(4)-440000000000.*a(18)*a(5)-490000000000.*a(18)*a(6)-.318315789474e13*a(18)*a(17)^2-.240196078431e13*a(18)*a(16)^2-.168000000000e13*a(18)*a(15)^2-.103846153846e13*a(18)*a(14)^2-509090909091.*a(18)*a(13)^2-.357000000000e13*a(18)^2*a(17)-.309473684211e13*a(18)^2*a(16)-.257894736842e13*a(18)^2*a(15)-.201764705882e13*a(18)^2*a(14)-.140514705882e13*a(18)^2*a(13)-160000000000.*a(17)*a(1)-229090909091.*a(17)*a(2)-290909090909.*a(17)*a(3)-346153846154.*a(17)*a(4)-395604395604.*a(17)*a(5)-440000000000.*a(17)*a(6)-.215073529412e13*a(17)*a(16)^2-.150857142857e13*a(17)*a(15)^2-934615384615.*a(17)*a(14)^2-458181818182.*a(17)*a(13)^2-.247058823529e13*a(17)^2*a(16)-.206470588235e13*a(17)^2*a(15)-.162000000000e13*a(17)^2*a(14)-.113142857143e13*a(17)^2*a(13)-138888888889.*a(16)*a(1)-200000000000.*a(16)*a(2)-254545454545.*a(16)*a(3)-303030303030.*a(16)*a(4)-346153846154.*a(16)*a(5)-384615384615.*a(16)*a(6)-.131868131868e13*a(16)*a(15)^2-818181818182.*a(16)*a(14)^2-400000000000.*a(16)*a(13)^2-.157142857143e13*a(16)^2*a(15)-.123626373626e13*a(16)^2*a(14)-865384615385.*a(16)^2*a(13)-114285714286.*a(15)*a(1)-166666666667.*a(15)*a(2)-213333333333.*a(15)*a(3)-254545454545.*a(15)*a(4)-290909090909.*a(15)*a(5)-323076923077.*a(15)*a(6)-687272727273.*a(15)*a(14)^2-333333333333.*a(15)*a(13)^2-872727272727.*a(15)^2*a(14)-610909090909.*a(15)^2*a(13);

eq(15):=-3063492063.50*a(7)-3446428571.43*a(8)-3574074074.08*a(9)-3574074074.08*a(10)-3509090909.09*a(11)-3411616161.62*a(12)-4288888888.90*a(13)-9190476190.48*a(14)-13785714285.7*a(15)-17870370370.4*a(16)-21444444444.4*a(17)-24563636363.6*a(18)-.247500000000e13*a(17)*a(16)*a(14)-.171428571429e13*a(17)*a(16)*a(13)-.205714285714e13*a(17)*a(15)*a(14)-.142417582418e13*a(17)*a(15)*a(13)-.110769230769e13*a(17)*a(14)*a(13)-.192500000000e13*a(18)*a(16)*a(13)-.231000000000e13*a(18)*a(15)*a(14)-.160000000000e13*a(18)*a(15)*a(13)-.124615384615e13*a(18)*a(14)*a(13)-.317647058824e13*a(17)*a(16)*a(15)-.356862745098e13*a(18)*a(16)*a(15)-.277941176471e13*a(18)*a(16)*a(14)-.497368421053e13*a(18)*a(17)*a(16)-.412631578947e13*a(18)*a(17)*a(15)-.321176470588e13*a(18)*a(17)*a(14)-.222352941176e13*a(18)*a(17)*a(13)-.178021978022e13*a(16)*a(15)*a(14)-.123076923077e13*a(16)*a(15)*a(13)-954545454545.*a(16)*a(14)*a(13)-785454545455.*a(15)*a(14)*a(13)-551470588235.*a(16)^3-316483516484.*a(15)^3-147272727273.*a(14)^3-42857142857.1*a(13)^3-.122015810277e13*a(18)^3-852631578947.*a(17)^3-38.4994796666-64285714285.7*a(14)*a(1)-100000000000.*a(14)*a(2)-133333333333.*a(14)*a(3)-163636363636.*a(14)*a(4)-190909090909.*a(14)*a(5)-215384615385.*a(14)*a(6)-200000000000.*a(14)*a(13)^2-300000000000.*a(14)^2*a(13)-38095238095.2*a(13)*a(1)-64285714285.7*a(13)*a(2)-88888888888.9*a(13)*a(3)-111111111111.*a(13)*a(4)-130909090909.*a(13)*a(5)-148484848485.*a(13)*a(6)-148484848485.*a(18)*a(1)-215384615385.*a(18)*a(2)-276923076923.*a(18)*a(3)-333333333333.*a(18)*a(4)-385000000000.*a(18)*a(5)-432352941176.*a(18)*a(6)-.288000000000e13*a(18)*a(17)^2-.214912280702e13*a(18)*a(16)^2-.148235294118e13*a(18)*a(15)^2-900000000000.*a(18)*a(14)^2-430769230769.*a(18)*a(13)^2-.324545454545e13*a(18)^2*a(17)-.280000000000e13*a(18)^2*a(16)-.232105263158e13*a(18)^2*a(15)-.180526315789e13*a(18)^2*a(14)-.124901960784e13*a(18)^2*a(13)-130909090909.*a(17)*a(1)-190909090909.*a(17)*a(2)-246153846154.*a(17)*a(3)-296703296703.*a(17)*a(4)-342857142857.*a(17)*a(5)-385000000000.*a(17)*a(6)-.191176470588e13*a(17)*a(16)^2-.132000000000e13*a(17)*a(15)^2-801098901099.*a(17)*a(14)^2-381818181818.*a(17)*a(13)^2-.221052631579e13*a(17)^2*a(16)-.183529411765e13*a(17)^2*a(15)-.142941176471e13*a(17)^2*a(14)-990000000000.*a(17)^2*a(13)-111111111111.*a(16)*a(1)-163636363636.*a(16)*a(2)-212121212121.*a(16)*a(3)-256410256410.*a(16)*a(4)-296703296703.*a(16)*a(5)-333333333333.*a(16)*a(6)-.114285714286e13*a(16)*a(15)^2-692307692308.*a(16)*a(14)^2-327272727273.*a(16)*a(13)^2-.137500000000e13*a(16)^2*a(15)-.107142857143e13*a(16)^2*a(14)-741758241758.*a(16)^2*a(13)-88888888888.9*a(15)*a(1)-133333333333.*a(15)*a(2)-174545454545.*a(15)*a(3)-212121212121.*a(15)*a(4)-246153846154.*a(15)*a(5)-276923076923.*a(15)*a(6)-572727272727.*a(15)*a(14)^2-266666666667.*a(15)*a(13)^2-738461538462.*a(15)^2*a(14)-509090909091.*a(15)^2*a(13);

eq(16):=-2297619047.63*a(7)-2680555555.56*a(8)-2859259259.26*a(9)-2924242424.24*a(10)-2924242424.24*a(11)-2886752136.75*a(12)-3063492063.50*a(13)-6892857142.86*a(14)-10722222222.2*a(15)-14296296296.3*a(16)-17545454545.4*a(17)-20469696969.7*a(18)-37.2521690081-.218382352941e13*a(17)*a(16)*a(14)-.150000000000e13*a(17)*a(16)*a(13)-.180000000000e13*a(17)*a(15)*a(14)-.123428571429e13*a(17)*a(15)*a(13)-949450549451.*a(17)*a(14)*a(13)-.169852941176e13*a(18)*a(16)*a(13)-.203823529412e13*a(18)*a(15)*a(14)-.140000000000e13*a(18)*a(15)*a(13)-.108000000000e13*a(18)*a(14)*a(13)-.282352941176e13*a(17)*a(16)*a(15)-.319298245614e13*a(18)*a(16)*a(15)-.247058823529e13*a(18)*a(16)*a(14)-.450000000000e13*a(18)*a(17)*a(16)-.371368421053e13*a(18)*a(17)*a(15)-.287368421053e13*a(18)*a(17)*a(14)-.197647058824e13*a(18)*a(17)*a(13)-.154285714286e13*a(16)*a(15)*a(14)-.105494505495e13*a(16)*a(15)*a(13)-807692307692.*a(16)*a(14)*a(13)-654545454545.*a(15)*a(14)*a(13)-490196078431.*a(16)^3-274285714286.*a(15)^3-122727272727.*a(14)^3-33333333333.3*a(13)^3-.111847826087e13*a(18)^3-771428571429.*a(17)^3-50000000000.0*a(14)*a(1)-80000000000.0*a(14)*a(2)-109090909091.*a(14)*a(3)-136363636364.*a(14)*a(4)-161538461538.*a(14)*a(5)-184615384615.*a(14)*a(6)-160000000000.*a(14)*a(13)^2-245454545455.*a(14)^2*a(13)-28571428571.4*a(13)*a(1)-50000000000.0*a(13)*a(2)-71111111111.1*a(13)*a(3)-90909090909.1*a(13)*a(4)-109090909091.*a(13)*a(5)-125641025641.*a(13)*a(6)-125641025641.*a(18)*a(1)-184615384615.*a(18)*a(2)-240000000000.*a(18)*a(3)-291666666667.*a(18)*a(4)-339705882353.*a(18)*a(5)-384313725490.*a(18)*a(6)-.261818181818e13*a(18)*a(17)^2-.193421052632e13*a(18)*a(16)^2-.131764705882e13*a(18)*a(15)^2-787500000000.*a(18)*a(14)^2-369230769231.*a(18)*a(13)^2-.296324110672e13*a(18)^2*a(17)-.254545454545e13*a(18)^2*a(16)-.210000000000e13*a(18)^2*a(15)-.162473684211e13*a(18)^2*a(14)-.111754385965e13*a(18)^2*a(13)-109090909091.*a(17)*a(1)-161538461538.*a(17)*a(2)-210989010989.*a(17)*a(3)-257142857143.*a(17)*a(4)-300000000000.*a(17)*a(5)-339705882353.*a(17)*a(6)-.171052631579e13*a(17)*a(16)^2-.116470588235e13*a(17)*a(15)^2-694285714286.*a(17)*a(14)^2-323076923077.*a(17)*a(13)^2-.198947368421e13*a(17)^2*a(16)-.164210526316e13*a(17)^2*a(15)-.127058823529e13*a(17)^2*a(14)-873529411765.*a(17)^2*a(13)-90909090909.1*a(16)*a(1)-136363636364.*a(16)*a(2)-179487179487.*a(16)*a(3)-219780219780.*a(16)*a(4)-257142857143.*a(16)*a(5)-291666666667.*a(16)*a(6)-.100000000000e13*a(16)*a(15)^2-593406593407.*a(16)*a(14)^2-272727272727.*a(16)*a(13)^2-.121323529412e13*a(16)^2*a(15)-937500000000.*a(16)^2*a(14)-642857142857.*a(16)^2*a(13)-71111111111.1*a(15)*a(1)-109090909091.*a(15)*a(2)-145454545455.*a(15)*a(3)-179487179487.*a(15)*a(4)-210989010989.*a(15)*a(5)-240000000000.*a(15)*a(6)-484615384615.*a(15)*a(14)^2-218181818182.*a(15)*a(13)^2-632967032967.*a(15)^2*a(14)-430769230769.*a(15)^2*a(13);

eq(17):=-1787037037.04*a(7)-2144444444.45*a(8)-2339393939.40*a(9)-2436868686.87*a(10)-2474358974.36*a(11)-2474358974.36*a(12)-2297619047.63*a(13)-5361111111.11*a(14)-8577777777.77*a(15)-11696969697.0*a(16)-14621212121.2*a(17)-17320512820.5*a(18)-35.7870289256-.194117647059e13*a(17)*a(16)*a(14)-.132352941176e13*a(17)*a(16)*a(13)-.158823529412e13*a(17)*a(15)*a(14)-.108000000000e13*a(17)*a(15)*a(13)-822857142857.*a(17)*a(14)*a(13)-.150980392157e13*a(18)*a(16)*a(13)-.181176470588e13*a(18)*a(15)*a(14)-.123529411765e13*a(18)*a(15)*a(13)-945000000000.*a(18)*a(14)*a(13)-.252631578947e13*a(17)*a(16)*a(15)-.287368421053e13*a(18)*a(16)*a(15)-.221052631579e13*a(18)*a(16)*a(14)-.409090909091e13*a(18)*a(17)*a(16)-.336000000000e13*a(18)*a(17)*a(15)-.258631578947e13*a(18)*a(17)*a(14)-.176842105263e13*a(18)*a(17)*a(13)-.135000000000e13*a(16)*a(15)*a(14)-914285714286.*a(16)*a(15)*a(13)-692307692308.*a(16)*a(14)*a(13)-553846153846.*a(15)*a(14)*a(13)-438596491228.*a(16)^3-240000000000.*a(15)^3-103846153846.*a(14)^3-26666666666.7*a(13)^3-.102900000000e13*a(18)^3-701298701299.*a(17)^3-40000000000.0*a(14)*a(1)-65454545454.5*a(14)*a(2)-90909090909.1*a(14)*a(3)-115384615385.*a(14)*a(4)-138461538462.*a(14)*a(5)-160000000000.*a(14)*a(6)-130909090909.*a(14)*a(13)^2-204545454545.*a(14)^2*a(13)-22222222222.2*a(13)*a(1)-40000000000.0*a(13)*a(2)-58181818181.8*a(13)*a(3)-75757575757.6*a(13)*a(4)-92307692307.7*a(13)*a(5)-107692307692.*a(13)*a(6)-107692307692.*a(18)*a(1)-160000000000.*a(18)*a(2)-210000000000.*a(18)*a(3)-257352941176.*a(18)*a(4)-301960784314.*a(18)*a(5)-343859649123.*a(18)*a(6)-.239051383399e13*a(18)*a(17)^2-.175000000000e13*a(18)*a(16)^2-.117894736842e13*a(18)*a(15)^2-694852941176.*a(18)*a(14)^2-320000000000.*a(18)*a(13)^2-.271630434783e13*a(18)^2*a(17)-.232411067194e13*a(18)^2*a(16)-.190909090909e13*a(18)^2*a(15)-.147000000000e13*a(18)^2*a(14)-.100578947368e13*a(18)^2*a(13)-92307692307.7*a(17)*a(1)-138461538462.*a(17)*a(2)-182857142857.*a(17)*a(3)-225000000000.*a(17)*a(4)-264705882353.*a(17)*a(5)-301960784314.*a(17)*a(6)-.153947368421e13*a(17)*a(16)^2-.103529411765e13*a(17)*a(15)^2-607500000000.*a(17)*a(14)^2-276923076923.*a(17)*a(13)^2-.180000000000e13*a(17)^2*a(16)-.147789473684e13*a(17)^2*a(15)-.113684210526e13*a(17)^2*a(14)-776470588235.*a(17)^2*a(13)-75757575757.6*a(16)*a(1)-115384615385.*a(16)*a(2)-153846153846.*a(16)*a(3)-190476190476.*a(16)*a(4)-225000000000.*a(16)*a(5)-257352941176.*a(16)*a(6)-882352941176.*a(16)*a(15)^2-514285714286.*a(16)*a(14)^2-230769230769.*a(16)*a(13)^2-.107843137255e13*a(16)^2*a(15)-827205882353.*a(16)^2*a(14)-562500000000.*a(16)^2*a(13)-58181818181.8*a(15)*a(1)-90909090909.1*a(15)*a(2)-123076923077.*a(15)*a(3)-153846153846.*a(15)*a(4)-182857142857.*a(15)*a(5)-210000000000.*a(15)*a(6)-415384615385.*a(15)*a(14)^2-181818181818.*a(15)*a(13)^2-548571428571.*a(15)^2*a(14)-369230769231.*a(15)^2*a(13);

eq(18):=-1429629629.63*a(7)-1754545454.55*a(8)-1949494949.50*a(9)-2061965811.97*a(10)-2120879120.88*a(11)-2144444444.45*a(12)-1787037037.04*a(13)-4288888888.89*a(14)-7018181818.18*a(15)-9747474747.47*a(16)-12371794871.8*a(17)-14846153846.1*a(18)-.173684210526e13*a(17)*a(16)*a(14)-.117647058824e13*a(17)*a(16)*a(13)-.141176470588e13*a(17)*a(15)*a(14)-952941176471.*a(17)*a(15)*a(13)-720000000000.*a(17)*a(14)*a(13)-.135087719298e13*a(18)*a(16)*a(13)-.162105263158e13*a(18)*a(15)*a(14)-.109803921569e13*a(18)*a(15)*a(13)-833823529412.*a(18)*a(14)*a(13)-.227368421053e13*a(17)*a(16)*a(15)-.260000000000e13*a(18)*a(16)*a(15)-.198947368421e13*a(18)*a(16)*a(14)-.373517786561e13*a(18)*a(17)*a(16)-.305454545455e13*a(18)*a(17)*a(15)-.234000000000e13*a(18)*a(17)*a(14)-.159157894737e13*a(18)*a(17)*a(13)-.119117647059e13*a(16)*a(15)*a(14)-800000000000.*a(16)*a(15)*a(13)-600000000000.*a(16)*a(14)*a(13)-474725274725.*a(15)*a(14)*a(13)-394736842105.*a(16)^3-211764705882.*a(15)^3-89010989011.0*a(14)^3-21818181818.2*a(13)^3-949846153846.*a(18)^3-640316205534.*a(17)^3-34.1498547051-32727272727.3*a(14)*a(1)-54545454545.5*a(14)*a(2)-76923076923.1*a(14)*a(3)-98901098901.1*a(14)*a(4)-120000000000.*a(14)*a(5)-140000000000.*a(14)*a(6)-109090909091.*a(14)*a(13)^2-173076923077.*a(14)^2*a(13)-17777777777.8*a(13)*a(1)-32727272727.3*a(13)*a(2)-48484848484.8*a(13)*a(3)-64102564102.6*a(13)*a(4)-79120879120.9*a(13)*a(5)-93333333333.3*a(13)*a(6)-93333333333.3*a(18)*a(1)-140000000000.*a(18)*a(2)-185294117647.*a(18)*a(3)-228758169935.*a(18)*a(4)-270175438596.*a(18)*a(5)-309473684211.*a(18)*a(6)-.219130434783e13*a(18)*a(17)^2-.159090909091e13*a(18)*a(16)^2-.106105263158e13*a(18)*a(15)^2-617647058824.*a(18)*a(14)^2-280000000000.*a(18)*a(13)^2-.249900000000e13*a(18)^2*a(17)-.213043478261e13*a(18)^2*a(16)-.174308300395e13*a(18)^2*a(15)-.133636363636e13*a(18)^2*a(14)-910000000000.*a(18)^2*a(13)-79120879120.9*a(17)*a(1)-120000000000.*a(17)*a(2)-160000000000.*a(17)*a(3)-198529411765.*a(17)*a(4)-235294117647.*a(17)*a(5)-270175438596.*a(17)*a(6)-.139285714286e13*a(17)*a(16)^2-926315789474.*a(17)*a(15)^2-536029411765.*a(17)*a(14)^2-240000000000.*a(17)*a(13)^2-.163636363636e13*a(17)^2*a(16)-.133714285714e13*a(17)^2*a(15)-.102315789474e13*a(17)^2*a(14)-694736842105.*a(17)^2*a(13)-64102564102.6*a(16)*a(1)-98901098901.1*a(16)*a(2)-133333333333.*a(16)*a(3)-166666666667.*a(16)*a(4)-198529411765.*a(16)*a(5)-228758169935.*a(16)*a(6)-784313725490.*a(16)*a(15)^2-450000000000.*a(16)*a(14)^2-197802197802.*a(16)*a(13)^2-964912280702.*a(16)^2*a(15)-735294117647.*a(16)^2*a(14)-496323529412.*a(16)^2*a(13)-48484848484.8*a(15)*a(1)-76923076923.1*a(15)*a(2)-105494505495.*a(15)*a(3)-133333333333.*a(15)*a(4)-160000000000.*a(15)*a(5)-185294117647.*a(15)*a(6)-360000000000.*a(15)*a(14)^2-153846153846.*a(15)*a(13)^2-480000000000.*a(15)^2*a(14)-320000000000.*a(15)^2*a(13);

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