##############ECHO OF PROBLEM################# ##############temp/sing3postode.ode################# diff ( y , x , 1 ) = m1 * 2.0 / x / x / x ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=40 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=-1.0 x_end=-0.7 $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_max_iter=100 ## Not Given = 0 ## No Pole = 3 ## Pole = 4 $glob_type_given_pole=4 $array_given_rad_poles[1][1]=0.0 #RealPart $array_given_rad_poles[1][2]=0.0 #ImagPart $array_given_ord_poles[1][1]=3.0 #Order $array_given_ord_poles[1][2]=0.0 #NotUsedt # ELIMINATED in preodein.rb #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=10 $glob_display_interval=0.001 $glob_look_poles=true $glob_max_iter=10000000 $glob_max_minutes=3 $glob_subiter_method=3 #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) return(1.0/x/x) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size 0.0 min_size 1.0 opt_iter 1 $glob_desired_digits_correct 10 desired_abs_gbl_error 1.0e-10 range 0.30000000000000004 estimated_steps 300.00000000000006 step_error 3.333333333333333e-13 est_needed_step_err 3.333333333333333e-13 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 value3 8.337389361071604e-109 max_value3 8.337389361071604e-109 value3 8.337389361071604e-109 best_h 0.001 START of Soultion TOP MAIN SOLVE Loop x[1] -1.0 y[1] (analytic) 1.0 y[1] (numeric) 1.0 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 1.0 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 1.03125 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9992498124531161 Order of pole (three term test) 1225.0262565641444 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.0e+100 TOP MAIN SOLVE Loop x[1] -0.999 y[1] (analytic) 1.002003004005006 y[1] (numeric) 1.002003004005006 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 1.0302187500000002 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9982505626406692 Order of pole (three term test) 1225.0262565641524 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 4.162004074714787e-11 TOP MAIN SOLVE Loop x[1] -0.998 y[1] (analytic) 1.0040120320801924 y[1] (numeric) 1.0040120320801926 absolute error 2.220446049250313e-16 relative error 2.211573146837509e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 1.0291875 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9972513128282023 Order of pole (three term test) 1225.026256564135 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.0225065238955722e-10 TOP MAIN SOLVE Loop x[1] -0.997 y[1] (analytic) 1.0060271084064631 y[1] (numeric) 1.0060271084064634 absolute error 2.220446049250313e-16 relative error 2.2071433569692543e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.997 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 1.0281562499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9962520630157639 Order of pole (three term test) 1225.0262565641533 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -8.480327551296796e-12 TOP MAIN SOLVE Loop x[1] -0.996 y[1] (analytic) 1.0080482572861729 y[1] (numeric) 1.008048257286173 absolute error 2.220446049250313e-16 relative error 2.2027180079930986e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.996 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 1.027125 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9952528132033004 Order of pole (three term test) 1225.0262565641406 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 4.709832523985824e-11 TOP MAIN SOLVE Loop x[1] -0.995 y[1] (analytic) 1.01007550314386 y[1] (numeric) 1.0100755031438602 absolute error 2.220446049250313e-16 relative error 2.198297099909041e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.995 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 1.0260937500000002 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9942535633908604 Order of pole (three term test) 1225.026256564157 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 3.750244559341809e-11 TOP MAIN SOLVE Loop x[1] -0.994 y[1] (analytic) 1.0121088705269847 y[1] (numeric) 1.012108870526985 absolute error 2.220446049250313e-16 relative error 2.1938806327170827e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.994 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 1.0250624999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9932543135784057 Order of pole (three term test) 1225.026256564155 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 6.761169402125233e-11 TOP MAIN SOLVE Loop x[1] -0.993 y[1] (analytic) 1.014148384106672 y[1] (numeric) 1.0141483841066723 absolute error 2.220446049250313e-16 relative error 2.1894686064172223e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.993 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 1.02403125 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9922550637659617 Order of pole (three term test) 1225.0262565641663 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 5.070077691016195e-11 TOP MAIN SOLVE Loop x[1] -0.992 y[1] (analytic) 1.0161940686784598 y[1] (numeric) 1.01619406867846 absolute error 2.220446049250313e-16 relative error 2.1850610210094602e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.992 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 1.023 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9912558139534928 Order of pole (three term test) 1225.0262565641467 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 2.0250467969162855e-11 TOP MAIN SOLVE Loop x[1] -0.991 y[1] (analytic) 1.0182459491630527 y[1] (numeric) 1.0182459491630529 absolute error 2.220446049250313e-16 relative error 2.1806578764937968e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.991 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 1.0219687499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9902565641410532 Order of pole (three term test) 1225.0262565641638 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 8.15809642062959e-11 TOP MAIN SOLVE Loop x[1] -0.99 y[1] (analytic) 1.020304050607081 y[1] (numeric) 1.020304050607081 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.99 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 1.0209375 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9892573143285824 Order of pole (three term test) 1225.0262565641417 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 3.5349501104064984e-12 TOP MAIN SOLVE Loop x[1] -0.989 y[1] (analytic) 1.022368398183865 y[1] (numeric) 1.022368398183865 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.989 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 1.01990625 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9882580645161254 Order of pole (three term test) 1225.0262565641367 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.2639489455068542e-10 TOP MAIN SOLVE Loop x[1] -0.988 y[1] (analytic) 1.0244390171941844 y[1] (numeric) 1.0244390171941846 absolute error 2.220446049250313e-16 relative error 2.1674750882993977e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.988 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 1.018875 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9872588147036774 Order of pole (three term test) 1225.026256564143 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 6.227196536201518e-11 TOP MAIN SOLVE Loop x[1] -0.987 y[1] (analytic) 1.0265159330670552 y[1] (numeric) 1.0265159330670552 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.987 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 1.01784375 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9862595648912286 Order of pole (three term test) 1225.0262565641483 Radius of convergence (six term test) for eq 1 1.6942543329449544 Order of pole (six term test) 1.3027090517425677e-10 TOP MAIN SOLVE Loop x[1] -0.986 y[1] (analytic) 1.0285991713605076 y[1] (numeric) 1.0285991713605076 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.986 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 1.0168125 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9852603150787743 Order of pole (three term test) 1225.026256564147 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -5.046238982231444e-10 TOP MAIN SOLVE Loop x[1] -0.985 y[1] (analytic) 1.0306887577623747 y[1] (numeric) 1.0306887577623747 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.985 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 1.0157812499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9842610652663125 Order of pole (three term test) 1225.026256564136 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 2.0396129229993676e-11 TOP MAIN SOLVE Loop x[1] -0.984 y[1] (analytic) 1.0327847180910834 y[1] (numeric) 1.0327847180910834 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.984 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 1.01475 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9832618154538562 Order of pole (three term test) 1225.026256564132 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 3.856470698337944e-11 TOP MAIN SOLVE Loop x[1] -0.983 y[1] (analytic) 1.0348870782964519 y[1] (numeric) 1.0348870782964517 absolute error 2.220446049250313e-16 relative error 2.1455925924840355e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.983 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 1.01371875 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9822625656414183 Order of pole (three term test) 1225.0262565641513 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 5.2455817467489396e-11 TOP MAIN SOLVE Loop x[1] -0.982 y[1] (analytic) 1.0369958644604924 y[1] (numeric) 1.0369958644604924 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.982 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 1.0126875 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.981263315828953 Order of pole (three term test) 1225.026256564136 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.0e+100 TOP MAIN SOLVE Loop x[1] -0.981 y[1] (analytic) 1.0391111027982223 y[1] (numeric) 1.0391111027982223 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.981 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 1.01165625 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9802640660164955 Order of pole (three term test) 1225.0262565641303 Radius of convergence (six term test) for eq 1 0.9225144968727901 Order of pole (six term test) -2.496491902093112e-11 TOP MAIN SOLVE Loop x[1] -0.98 y[1] (analytic) 1.0412328196584757 y[1] (numeric) 1.0412328196584757 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.98 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 1.0106250000000003 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9792648162040576 Order of pole (three term test) 1225.0262565641497 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -5.431033400782326e-11 TOP MAIN SOLVE Loop x[1] -0.979 y[1] (analytic) 1.043361041524726 y[1] (numeric) 1.043361041524726 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.979 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 1.00959375 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9782655663915898 Order of pole (three term test) 1225.0262565641306 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -8.341771717823576e-12 TOP MAIN SOLVE Loop x[1] -0.978 y[1] (analytic) 1.0454957950159125 y[1] (numeric) 1.0454957950159125 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.978 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 1.0085624999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9772663165791577 Order of pole (three term test) 1225.0262565641576 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 9.811174095375463e-11 TOP MAIN SOLVE Loop x[1] -0.977 y[1] (analytic) 1.0476371068872712 y[1] (numeric) 1.0476371068872712 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.977 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 1.00753125 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.976267066766687 Order of pole (three term test) 1225.026256564135 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -5.945111070104758e-11 TOP MAIN SOLVE Loop x[1] -0.976 y[1] (analytic) 1.0497850040311743 y[1] (numeric) 1.0497850040311745 absolute error 2.220446049250313e-16 relative error 2.1151436158106665e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.976 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 1.0065 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9752678169542329 Order of pole (three term test) 1225.026256564134 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -8.919798233364418e-11 TOP MAIN SOLVE Loop x[1] -0.975 y[1] (analytic) 1.0519395134779752 y[1] (numeric) 1.051939513477975 absolute error 2.220446049250313e-16 relative error 2.1108115255685786e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.975 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 1.00546875 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9742685671417943 Order of pole (three term test) 1225.0262565641522 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -2.320028613667091e-10 TOP MAIN SOLVE Loop x[1] -0.974 y[1] (analytic) 1.0541006623968563 y[1] (numeric) 1.0541006623968563 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.974 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 1.0044374999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9732693173293463 Order of pole (three term test) 1225.026256564159 Radius of convergence (six term test) for eq 1 0.7104125460811049 Order of pole (six term test) 1.049755837811972e-10 TOP MAIN SOLVE Loop x[1] -0.973 y[1] (analytic) 1.0562684780966887 y[1] (numeric) 1.0562684780966887 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.973 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 1.00340625 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9722700675168806 Order of pole (three term test) 1225.0262565641433 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.0e+100 TOP MAIN SOLVE Loop x[1] -0.972 y[1] (analytic) 1.0584429880268929 y[1] (numeric) 1.0584429880268929 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.972 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 1.0023749999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9712708177044265 Order of pole (three term test) 1225.0262565641417 Radius of convergence (six term test) for eq 1 1.62182846535453 Order of pole (six term test) 2.929070319623861e-10 TOP MAIN SOLVE Loop x[1] -0.971 y[1] (analytic) 1.0606242197783085 y[1] (numeric) 1.0606242197783082 absolute error 2.220446049250313e-16 relative error 2.0935275735212143e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.971 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 1.0013437499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9702715678919736 Order of pole (three term test) 1225.0262565641417 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 5.048406137575512e-12 TOP MAIN SOLVE Loop x[1] -0.97 y[1] (analytic) 1.0628122010840686 y[1] (numeric) 1.0628122010840684 absolute error 2.220446049250313e-16 relative error 2.0892176877396193e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.97 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 1.0003125 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9692723180795217 Order of pole (three term test) 1225.0262565641438 Radius of convergence (six term test) for eq 1 1.1258860538231157 Order of pole (six term test) 9.36282162911084e-11 TOP MAIN SOLVE Loop x[1] -0.969 y[1] (analytic) 1.0650069598204825 y[1] (numeric) 1.0650069598204823 absolute error 2.220446049250313e-16 relative error 2.084912242850123e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.969 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9992812499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9682730682670713 Order of pole (three term test) 1225.026256564147 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 0.0 TOP MAIN SOLVE Loop x[1] -0.968 y[1] (analytic) 1.0672085240079232 y[1] (numeric) 1.0672085240079228 absolute error 4.440892098500626e-16 relative error 4.16122247770545e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.968 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9982500000000001 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9672738184546276 Order of pole (three term test) 1225.0262565641588 Radius of convergence (six term test) for eq 1 2.9206790734771872 Order of pole (six term test) 5.288356419441698e-10 TOP MAIN SOLVE Loop x[1] -0.967 y[1] (analytic) 1.0694169218117207 y[1] (numeric) 1.0694169218117204 absolute error 2.220446049250313e-16 relative error 2.076314675747426e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.967 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9972187499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9662745686421677 Order of pole (three term test) 1225.0262565641501 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -1.6620660403532383e-10 TOP MAIN SOLVE Loop x[1] -0.966 y[1] (analytic) 1.0716321815430647 y[1] (numeric) 1.0716321815430645 absolute error 2.220446049250313e-16 relative error 2.072022553534225e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.966 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9961874999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9652753188297051 Order of pole (three term test) 1225.0262565641378 Radius of convergence (six term test) for eq 1 3.7927958311142906 Order of pole (six term test) -9.613074780645547e-10 TOP MAIN SOLVE Loop x[1] -0.965 y[1] (analytic) 1.0738543316599105 y[1] (numeric) 1.0738543316599103 absolute error 2.220446049250313e-16 relative error 2.0677348722131225e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.965 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.99515625 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9642760690172514 Order of pole (three term test) 1225.0262565641374 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -3.203837195542292e-11 TOP MAIN SOLVE Loop x[1] -0.964 y[1] (analytic) 1.0760834007678932 y[1] (numeric) 1.076083400767893 absolute error 2.220446049250313e-16 relative error 2.0634516317841188e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.964 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9941249999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9632768192048048 Order of pole (three term test) 1225.026256564146 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.3430323519969534e-10 TOP MAIN SOLVE Loop x[1] -0.963 y[1] (analytic) 1.078319417621249 y[1] (numeric) 1.0783194176212487 absolute error 2.220446049250313e-16 relative error 2.0591728322472137e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.963 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9930937500000001 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.962277569392359 Order of pole (three term test) 1225.0262565641551 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -1.8543744317867095e-10 TOP MAIN SOLVE Loop x[1] -0.962 y[1] (analytic) 1.0805624111237417 y[1] (numeric) 1.0805624111237415 absolute error 2.220446049250313e-16 relative error 2.0548984736024066e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.962 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9920625 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9612783195799193 Order of pole (three term test) 1225.0262565641726 Radius of convergence (six term test) for eq 1 0.19607576374601718 Order of pole (six term test) 1.7180212807943462e-10 TOP MAIN SOLVE Loop x[1] -0.961 y[1] (analytic) 1.0828124103295975 y[1] (numeric) 1.082812410329597 absolute error 4.440892098500626e-16 relative error 4.101257111699396e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.961 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9910312499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.960279069767449 Order of pole (three term test) 1225.0262565641506 Radius of convergence (six term test) for eq 1 0.39186338112909974 Order of pole (six term test) 7.287326297955588e-11 TOP MAIN SOLVE Loop x[1] -0.96 y[1] (analytic) 1.0850694444444446 y[1] (numeric) 1.0850694444444442 absolute error 4.440892098500626e-16 relative error 4.092726157978176e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.96 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9900000000000001 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9592798199549835 Order of pole (three term test) 1225.0262565641344 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.3717027513848734e-10 TOP MAIN SOLVE Loop x[1] -0.959 y[1] (analytic) 1.0873335428262627 y[1] (numeric) 1.0873335428262623 absolute error 4.440892098500626e-16 relative error 4.084204086041154e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.959 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.98896875 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9582805701425517 Order of pole (three term test) 1225.0262565641622 Radius of convergence (six term test) for eq 1 4.934775248867482 Order of pole (six term test) 3.3642564289948496e-09 TOP MAIN SOLVE Loop x[1] -0.958 y[1] (analytic) 1.0896047349863365 y[1] (numeric) 1.089604734986336 absolute error 4.440892098500626e-16 relative error 4.0756908958883285e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.958 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9879374999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9572813203300821 Order of pole (three term test) 1225.0262565641406 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 5.1748827445408097e-11 TOP MAIN SOLVE Loop x[1] -0.957 y[1] (analytic) 1.0918830505902175 y[1] (numeric) 1.091883050590217 absolute error 4.440892098500626e-16 relative error 4.0671865875196995e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.957 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.98690625 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9562820705176321 Order of pole (three term test) 1225.0262565641447 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 5.291767024573346e-11 TOP MAIN SOLVE Loop x[1] -0.956 y[1] (analytic) 1.094168519458693 y[1] (numeric) 1.0941685194586925 absolute error 4.440892098500626e-16 relative error 4.058691160935268e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.956 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9858750000000001 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9552828207051685 Order of pole (three term test) 1225.026256564131 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -1.4672707493446069e-12 TOP MAIN SOLVE Loop x[1] -0.955 y[1] (analytic) 1.0964611715687618 y[1] (numeric) 1.0964611715687613 absolute error 4.440892098500626e-16 relative error 4.0502046161350336e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.955 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9848437499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.954283570892728 Order of pole (three term test) 1225.0262565641474 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 4.0746073182162945e-11 TOP MAIN SOLVE Loop x[1] -0.954 y[1] (analytic) 1.0987610370546173 y[1] (numeric) 1.0987610370546168 absolute error 4.440892098500626e-16 relative error 4.041726953118996e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.954 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9838125 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9532843210802759 Order of pole (three term test) 1225.0262565641488 Radius of convergence (six term test) for eq 1 0.22336318015852938 Order of pole (six term test) -3.5203839843234164e-11 TOP MAIN SOLVE Loop x[1] -0.953 y[1] (analytic) 1.1010681462086371 y[1] (numeric) 1.1010681462086367 absolute error 4.440892098500626e-16 relative error 4.033258171887155e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.953 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9827812499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9522850712678251 Order of pole (three term test) 1225.0262565641515 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -7.963762982399203e-11 TOP MAIN SOLVE Loop x[1] -0.952 y[1] (analytic) 1.1033825294823814 y[1] (numeric) 1.103382529482381 absolute error 4.440892098500626e-16 relative error 4.0247982724395106e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.952 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9817499999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9512858214553647 Order of pole (three term test) 1225.0262565641424 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -4.479971948967432e-12 TOP MAIN SOLVE Loop x[1] -0.951 y[1] (analytic) 1.1057042174875968 y[1] (numeric) 1.1057042174875964 absolute error 4.440892098500626e-16 relative error 4.016347254776064e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.951 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9807187499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9502865716429117 Order of pole (three term test) 1225.0262565641426 Radius of convergence (six term test) for eq 1 0.3793779844697782 Order of pole (six term test) 5.81756864903582e-11 TOP MAIN SOLVE Loop x[1] -0.95 y[1] (analytic) 1.10803324099723 y[1] (numeric) 1.1080332409972296 absolute error 4.440892098500626e-16 relative error 4.007905118896815e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.95 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9796874999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9492873218304676 Order of pole (three term test) 1225.0262565641542 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 2.7078783659817418e-11 TOP MAIN SOLVE Loop x[1] -0.949 y[1] (analytic) 1.110369630946446 y[1] (numeric) 1.1103696309464455 absolute error 4.440892098500626e-16 relative error 3.999471864801762e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.949 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.97865625 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9482880720180077 Order of pole (three term test) 1225.0262565641453 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.9188206579201506e-11 TOP MAIN SOLVE Loop x[1] -0.948 y[1] (analytic) 1.1127134184336556 y[1] (numeric) 1.1127134184336553 absolute error 2.220446049250313e-16 relative error 1.9955237462454534e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.948 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9776249999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9472888222055537 Order of pole (three term test) 1225.026256564144 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -6.849987244095246e-11 TOP MAIN SOLVE Loop x[1] -0.947 y[1] (analytic) 1.1150646347215518 y[1] (numeric) 1.1150646347215514 absolute error 4.440892098500626e-16 relative error 3.982632001964247e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.947 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.97659375 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9462895723931202 Order of pole (three term test) 1225.02625656417 Radius of convergence (six term test) for eq 1 0.5875440797641507 Order of pole (six term test) 7.104361543497362e-11 TOP MAIN SOLVE Loop x[1] -0.946 y[1] (analytic) 1.1174233112381498 y[1] (numeric) 1.1174233112381495 absolute error 2.220446049250313e-16 relative error 1.987112696610893e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.946 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9755624999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.945290322580658 Order of pole (three term test) 1225.0262565641583 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 3.324629460621509e-11 TOP MAIN SOLVE Loop x[1] -0.945 y[1] (analytic) 1.1197894795778396 y[1] (numeric) 1.1197894795778391 absolute error 4.440892098500626e-16 relative error 3.965827666263521e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.945 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.97453125 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9442910727681968 Order of pole (three term test) 1225.0262565641472 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 6.771472271793755e-12 TOP MAIN SOLVE Loop x[1] -0.944 y[1] (analytic) 1.122163171502442 y[1] (numeric) 1.1221631715024416 absolute error 4.440892098500626e-16 relative error 3.957438821089453e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.944 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9734999999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9432918229557392 Order of pole (three term test) 1225.0262565641415 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 9.034550885189674e-12 TOP MAIN SOLVE Loop x[1] -0.943 y[1] (analytic) 1.1245444189422762 y[1] (numeric) 1.1245444189422757 absolute error 4.440892098500626e-16 relative error 3.9490588576995824e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.943 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.97246875 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9422925731433 Order of pole (three term test) 1225.02625656416 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 7.844391802791506e-12 TOP MAIN SOLVE Loop x[1] -0.942 y[1] (analytic) 1.1269332539972323 y[1] (numeric) 1.1269332539972319 absolute error 4.440892098500626e-16 relative error 3.940687776093909e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.942 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9714375000000001 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9412933233308339 Order of pole (three term test) 1225.0262565641426 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -8.884981639312173e-11 TOP MAIN SOLVE Loop x[1] -0.941 y[1] (analytic) 1.1293297089378542 y[1] (numeric) 1.1293297089378538 absolute error 4.440892098500626e-16 relative error 3.9323255762724326e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.941 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9704062499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9402940735183694 Order of pole (three term test) 1225.0262565641278 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 6.45812292532355e-11 TOP MAIN SOLVE Loop x[1] -0.94 y[1] (analytic) 1.1317338162064283 y[1] (numeric) 1.1317338162064279 absolute error 4.440892098500626e-16 relative error 3.923972258235153e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.94 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9693750000000001 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9392948237059372 Order of pole (three term test) 1225.0262565641553 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -1.5198509117908543e-11 TOP MAIN SOLVE Loop x[1] -0.939 y[1] (analytic) 1.1341456084180823 y[1] (numeric) 1.134145608418082 absolute error 2.220446049250313e-16 relative error 1.9578139109910353e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.939 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9683437499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9382955738934792 Order of pole (three term test) 1225.0262565641488 Radius of convergence (six term test) for eq 1 1.3769109149624115 Order of pole (six term test) 9.237410836249182e-11 TOP MAIN SOLVE Loop x[1] -0.938 y[1] (analytic) 1.1365651183618914 y[1] (numeric) 1.1365651183618912 absolute error 2.220446049250313e-16 relative error 1.9536461337565923e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.938 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9673124999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.937296324081031 Order of pole (three term test) 1225.0262565641553 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -1.6424195337094716e-11 TOP MAIN SOLVE Loop x[1] -0.9369999999999999 y[1] (analytic) 1.1389923790019922 y[1] (numeric) 1.1389923790019918 absolute error 4.440892098500626e-16 relative error 3.898965594828496e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9369999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9662812500000001 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9362970742685771 Order of pole (three term test) 1225.0262565641544 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 0.0 TOP MAIN SOLVE Loop x[1] -0.9359999999999999 y[1] (analytic) 1.1414274234787056 y[1] (numeric) 1.1414274234787052 absolute error 4.440892098500626e-16 relative error 3.890647803928004e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9359999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9652499999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9352978244561073 Order of pole (three term test) 1225.0262565641324 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.120881165661558e-10 TOP MAIN SOLVE Loop x[1] -0.9349999999999999 y[1] (analytic) 1.1438702851096687 y[1] (numeric) 1.1438702851096683 absolute error 4.440892098500626e-16 relative error 3.882338894811709e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9349999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9642187499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9342985746436623 Order of pole (three term test) 1225.026256564143 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 2.2374990749085555e-11 TOP MAIN SOLVE Loop x[1] -0.9339999999999999 y[1] (analytic) 1.1463209973909736 y[1] (numeric) 1.1463209973909732 absolute error 4.440892098500626e-16 relative error 3.874038867479612e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9339999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9631874999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9332993248312161 Order of pole (three term test) 1225.0262565641524 Radius of convergence (six term test) for eq 1 0.24861799597582626 Order of pole (six term test) 2.8407498575688805e-11 TOP MAIN SOLVE Loop x[1] -0.9329999999999999 y[1] (analytic) 1.148779593998316 y[1] (numeric) 1.1487795939983156 absolute error 4.440892098500626e-16 relative error 3.865747721931711e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9329999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9621562499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9323000750187602 Order of pole (three term test) 1225.0262565641488 Radius of convergence (six term test) for eq 1 0.8429838037975114 Order of pole (six term test) 7.506173460569698e-11 TOP MAIN SOLVE Loop x[1] -0.9319999999999999 y[1] (analytic) 1.1512461087881525 y[1] (numeric) 1.151246108788152 absolute error 4.440892098500626e-16 relative error 3.857465458168007e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9319999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9611249999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9313008252062974 Order of pole (three term test) 1225.0262565641356 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 4.5986325858393684e-11 TOP MAIN SOLVE Loop x[1] -0.9309999999999999 y[1] (analytic) 1.1537205757988651 y[1] (numeric) 1.1537205757988647 absolute error 4.440892098500626e-16 relative error 3.849192076188501e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9309999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9600937499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9303015753938424 Order of pole (three term test) 1225.0262565641333 Radius of convergence (six term test) for eq 1 1.0317406469748374 Order of pole (six term test) -1.3152146038919454e-11 TOP MAIN SOLVE Loop x[1] -0.9299999999999999 y[1] (analytic) 1.156203029251937 y[1] (numeric) 1.1562030292519363 absolute error 6.661338147750939e-16 relative error 5.761391363989785e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9299999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9590624999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9293023255813996 Order of pole (three term test) 1225.0262565641467 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 3.611333454500709e-11 TOP MAIN SOLVE Loop x[1] -0.9289999999999999 y[1] (analytic) 1.1586935035531336 y[1] (numeric) 1.1586935035531334 absolute error 2.220446049250313e-16 relative error 1.9163359787910396e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9289999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.95803125 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9283030757689543 Order of pole (three term test) 1225.0262565641572 Radius of convergence (six term test) for eq 1 0.5395924447765571 Order of pole (six term test) 8.567724307795288e-11 TOP MAIN SOLVE Loop x[1] -0.9279999999999999 y[1] (analytic) 1.1611920332936982 y[1] (numeric) 1.1611920332936978 absolute error 4.440892098500626e-16 relative error 3.8244252209551623e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9279999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9569999999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.927303825956501 Order of pole (three term test) 1225.0262565641572 Radius of convergence (six term test) for eq 1 0.4606825359951838 Order of pole (six term test) 6.712852496093547e-11 TOP MAIN SOLVE Loop x[1] -0.9269999999999999 y[1] (analytic) 1.1636986532515488 y[1] (numeric) 1.1636986532515483 absolute error 4.440892098500626e-16 relative error 3.816187366112444e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9269999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.95596875 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9263045761440476 Order of pole (three term test) 1225.026256564157 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -4.18332035678759e-11 TOP MAIN SOLVE Loop x[1] -0.9259999999999999 y[1] (analytic) 1.1662133983924916 y[1] (numeric) 1.1662133983924912 absolute error 4.440892098500626e-16 relative error 3.8079583930539225e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9259999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9549374999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9253053263315983 Order of pole (three term test) 1225.026256564162 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 3.2517988302060985e-11 TOP MAIN SOLVE Loop x[1] -0.9249999999999999 y[1] (analytic) 1.1687363038714391 y[1] (numeric) 1.1687363038714387 absolute error 4.440892098500626e-16 relative error 3.7997383017795976e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9249999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.95390625 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9243060765191307 Order of pole (three term test) 1225.0262565641424 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 2.1898927116126288e-11 TOP MAIN SOLVE Loop x[1] -0.9239999999999999 y[1] (analytic) 1.171267405033639 y[1] (numeric) 1.1712674050336385 absolute error 4.440892098500626e-16 relative error 3.79152709228947e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9239999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9528749999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9233068267066685 Order of pole (three term test) 1225.02625656413 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -9.919531862578879e-11 TOP MAIN SOLVE Loop x[1] -0.9229999999999999 y[1] (analytic) 1.1738067374159116 y[1] (numeric) 1.1738067374159111 absolute error 4.440892098500626e-16 relative error 3.78332476458354e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9229999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.95184375 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9223075768942325 Order of pole (three term test) 1225.0262565641533 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 8.345324431502377e-12 TOP MAIN SOLVE Loop x[1] -0.9219999999999999 y[1] (analytic) 1.176354336747898 y[1] (numeric) 1.1763543367478975 absolute error 4.440892098500626e-16 relative error 3.775131318661806e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9219999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9508125 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9213083270817788 Order of pole (three term test) 1225.0262565641524 Radius of convergence (six term test) for eq 1 1.663292423324993 Order of pole (six term test) 1.438813512777415e-10 TOP MAIN SOLVE Loop x[1] -0.9209999999999999 y[1] (analytic) 1.1789102389533164 y[1] (numeric) 1.178910238953316 absolute error 4.440892098500626e-16 relative error 3.76694675452427e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9209999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9497812499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9203090772693231 Order of pole (three term test) 1225.026256564149 Radius of convergence (six term test) for eq 1 5.903749997560921 Order of pole (six term test) 2.546517663404302e-09 TOP MAIN SOLVE Loop x[1] -0.9199999999999999 y[1] (analytic) 1.181474480151229 y[1] (numeric) 1.1814744801512282 absolute error 6.661338147750939e-16 relative error 5.638156608256394e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9199999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.94875 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9193098274568696 Order of pole (three term test) 1225.0262565641488 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -2.0904167286062147e-11 TOP MAIN SOLVE Loop x[1] -0.9189999999999999 y[1] (analytic) 1.1840470966573169 y[1] (numeric) 1.1840470966573162 absolute error 6.661338147750939e-16 relative error 5.62590640740268e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9189999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9477187499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9183105776444191 Order of pole (three term test) 1225.0262565641522 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 4.176214929429989e-11 TOP MAIN SOLVE Loop x[1] -0.9179999999999999 y[1] (analytic) 1.1866281249851671 y[1] (numeric) 1.1866281249851667 absolute error 4.440892098500626e-16 relative error 3.742446352816842e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9179999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9466874999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.917311327831948 Order of pole (three term test) 1225.0262565641276 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -1.3518075547835906e-11 TOP MAIN SOLVE Loop x[1] -0.9169999999999999 y[1] (analytic) 1.1892176018475686 y[1] (numeric) 1.189217601847568 absolute error 6.661338147750939e-16 relative error 5.6014459737241386e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9169999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.94565625 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9163120780195052 Order of pole (three term test) 1225.026256564142 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 9.9298347322474e-12 TOP MAIN SOLVE Loop x[1] -0.9159999999999999 y[1] (analytic) 1.1918155641578156 y[1] (numeric) 1.191815564157815 absolute error 6.661338147750939e-16 relative error 5.589235740899311e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9159999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9446249999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9153128282070483 Order of pole (three term test) 1225.0262565641367 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -7.522515943492181e-11 TOP MAIN SOLVE Loop x[1] -0.9149999999999999 y[1] (analytic) 1.1944220490310253 y[1] (numeric) 1.1944220490310247 absolute error 6.661338147750939e-16 relative error 5.577038830750779e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9149999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9435937499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9143135783946003 Order of pole (three term test) 1225.0262565641435 Radius of convergence (six term test) for eq 1 1.0376359511972857 Order of pole (six term test) 5.576694661613146e-11 TOP MAIN SOLVE Loop x[1] -0.9139999999999999 y[1] (analytic) 1.1970370937854624 y[1] (numeric) 1.1970370937854617 absolute error 6.661338147750939e-16 relative error 5.564855243278543e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9139999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9425624999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9133143285821526 Order of pole (three term test) 1225.0262565641508 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 5.0174975285699475e-11 TOP MAIN SOLVE Loop x[1] -0.9129999999999999 y[1] (analytic) 1.1996607359438751 y[1] (numeric) 1.1996607359438747 absolute error 4.440892098500626e-16 relative error 3.701789985655068e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9129999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9415312499999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9123150787696958 Order of pole (three term test) 1225.0262565641456 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -4.135358722123783e-11 TOP MAIN SOLVE Loop x[1] -0.9119999999999999 y[1] (analytic) 1.2022930132348417 y[1] (numeric) 1.202293013234841 absolute error 6.661338147750939e-16 relative error 5.540528036362956e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9119999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9405 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.911315828957235 Order of pole (three term test) 1225.0262565641353 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -1.1077361250499962e-11 TOP MAIN SOLVE Loop x[1] -0.9109999999999999 y[1] (analytic) 1.2049339635941254 y[1] (numeric) 1.2049339635941247 absolute error 6.661338147750939e-16 relative error 5.528384416919606e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9109999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9394687499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9103165791447997 Order of pole (three term test) 1225.02625656416 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 4.228084549140476e-11 TOP MAIN SOLVE Loop x[1] -0.9099999999999999 y[1] (analytic) 1.207583625166043 y[1] (numeric) 1.2075836251660423 absolute error 6.661338147750939e-16 relative error 5.5162541201525517e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9099999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9384374999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9093173293323406 Order of pole (three term test) 1225.0262565641515 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.282884909414861e-10 TOP MAIN SOLVE Loop x[1] -0.9089999999999999 y[1] (analytic) 1.2102420363048407 y[1] (numeric) 1.2102420363048403 absolute error 4.440892098500626e-16 relative error 3.6694247640411954e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9089999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9374062499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9083180795198907 Order of pole (three term test) 1225.0262565641558 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.0e+100 TOP MAIN SOLVE Loop x[1] -0.9079999999999999 y[1] (analytic) 1.2129092355760835 y[1] (numeric) 1.212909235576083 absolute error 4.440892098500626e-16 relative error 3.6613556630982195e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9079999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9363749999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.907318829707431 Order of pole (three term test) 1225.0262565641472 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 5.4011906058804016e-11 TOP MAIN SOLVE Loop x[1] -0.9069999999999999 y[1] (analytic) 1.2155852617580525 y[1] (numeric) 1.215585261758052 absolute error 4.440892098500626e-16 relative error 3.6532954439394415e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9069999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9353437499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9063195798949785 Order of pole (three term test) 1225.0262565641476 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 8.79047945545608e-11 TOP MAIN SOLVE Loop x[1] -0.9059999999999999 y[1] (analytic) 1.2182701538431553 y[1] (numeric) 1.2182701538431546 absolute error 6.661338147750939e-16 relative error 5.4678661598472887e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9059999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9343125 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9053203300825281 Order of pole (three term test) 1225.0262565641513 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 3.589306629692146e-11 TOP MAIN SOLVE Loop x[1] -0.9049999999999999 y[1] (analytic) 1.2209639510393457 y[1] (numeric) 1.220963951039345 absolute error 6.661338147750939e-16 relative error 5.455802476461712e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9049999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9332812499999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9043210802700646 Order of pole (three term test) 1225.0262565641372 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 2.8272495455894386e-11 TOP MAIN SOLVE Loop x[1] -0.9039999999999999 y[1] (analytic) 1.2236666927715565 y[1] (numeric) 1.2236666927715556 absolute error 8.881784197001252e-16 relative error 7.258336154336574e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9039999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9322499999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.90332183045762 Order of pole (three term test) 1225.026256564149 Radius of convergence (six term test) for eq 1 0.4711517966512376 Order of pole (six term test) 7.049649752843834e-11 TOP MAIN SOLVE Loop x[1] -0.9029999999999999 y[1] (analytic) 1.2263784186831395 y[1] (numeric) 1.2263784186831388 absolute error 6.661338147750939e-16 relative error 5.431715077719445e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9029999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9312187499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9023225806451566 Order of pole (three term test) 1225.0262565641347 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 2.4861890324245906e-11 TOP MAIN SOLVE Loop x[1] -0.9019999999999999 y[1] (analytic) 1.2290991686373227 y[1] (numeric) 1.2290991686373218 absolute error 8.881784197001252e-16 relative error 7.226255149817004e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9019999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9301875 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9013233308327122 Order of pole (three term test) 1225.026256564147 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.616839995222108e-11 TOP MAIN SOLVE Loop x[1] -0.9009999999999999 y[1] (analytic) 1.2318289827186715 y[1] (numeric) 1.2318289827186706 absolute error 8.881784197001252e-16 relative error 7.210241292909812e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9009999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.92915625 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.9003240810202521 Order of pole (three term test) 1225.0262565641372 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.0e+100 TOP MAIN SOLVE Loop x[1] -0.8999999999999999 y[1] (analytic) 1.234567901234568 y[1] (numeric) 1.2345679012345674 absolute error 6.661338147750939e-16 relative error 5.39568389967826e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8999999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9281249999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8993248312077989 Order of pole (three term test) 1225.026256564137 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 2.6062707547680475e-11 TOP MAIN SOLVE Loop x[1] -0.8989999999999999 y[1] (analytic) 1.2373159647166982 y[1] (numeric) 1.2373159647166974 absolute error 8.881784197001252e-16 relative error 7.178266869800608e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8989999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9270937499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8983255813953496 Order of pole (three term test) 1225.0262565641422 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 3.2020608387028915e-11 TOP MAIN SOLVE Loop x[1] -0.8979999999999999 y[1] (analytic) 1.2400732139225503 y[1] (numeric) 1.2400732139225494 absolute error 8.881784197001252e-16 relative error 7.162306303598595e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8979999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9260625 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8973263315829004 Order of pole (three term test) 1225.0262565641476 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -1.7834622667578515e-12 TOP MAIN SOLVE Loop x[1] -0.8969999999999999 y[1] (analytic) 1.2428396898369274 y[1] (numeric) 1.2428396898369265 absolute error 8.881784197001252e-16 relative error 7.146363500964979e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8969999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9250312499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8963270817704452 Order of pole (three term test) 1225.0262565641447 Radius of convergence (six term test) for eq 1 0.6377975114030926 Order of pole (six term test) 4.551026222543442e-12 TOP MAIN SOLVE Loop x[1] -0.8959999999999999 y[1] (analytic) 1.2456154336734695 y[1] (numeric) 1.2456154336734688 absolute error 6.661338147750939e-16 relative error 5.347828846424818e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8959999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9239999999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8953278319579914 Order of pole (three term test) 1225.0262565641442 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 2.9391600264716544e-11 TOP MAIN SOLVE Loop x[1] -0.8949999999999999 y[1] (analytic) 1.2484004868761902 y[1] (numeric) 1.2484004868761893 absolute error 8.881784197001252e-16 relative error 7.114531186402926e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8949999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9229687499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8943285821455328 Order of pole (three term test) 1225.0262565641365 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -4.7119641521931044e-11 TOP MAIN SOLVE Loop x[1] -0.8939999999999999 y[1] (analytic) 1.2511948911210207 y[1] (numeric) 1.25119489112102 absolute error 6.661338147750939e-16 relative error 5.323981255855869e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8939999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9219374999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8933293323330852 Order of pole (three term test) 1225.026256564144 Radius of convergence (six term test) for eq 1 0.8289517436437418 Order of pole (six term test) 2.7391422463551862e-11 TOP MAIN SOLVE Loop x[1] -0.8929999999999999 y[1] (analytic) 1.2539986883173724 y[1] (numeric) 1.2539986883173715 absolute error 8.881784197001252e-16 relative error 7.082769926114449e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8929999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9209062499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8923300825206223 Order of pole (three term test) 1225.0262565641303 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 3.959144123655278e-11 TOP MAIN SOLVE Loop x[1] -0.8919999999999999 y[1] (analytic) 1.2568119206097048 y[1] (numeric) 1.2568119206097041 absolute error 6.661338147750939e-16 relative error 5.3001869559921025e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8919999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9198749999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8913308327081801 Order of pole (three term test) 1225.0262565641456 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 8.306955123771331e-11 TOP MAIN SOLVE Loop x[1] -0.8909999999999999 y[1] (analytic) 1.2596346303791126 y[1] (numeric) 1.2596346303791117 absolute error 8.881784197001252e-16 relative error 7.05107972009955e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8909999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9188437499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8903315828957298 Order of pole (three term test) 1225.0262565641494 Radius of convergence (six term test) for eq 1 6.895375280405032 Order of pole (six term test) 3.567564021977887e-09 TOP MAIN SOLVE Loop x[1] -0.8899999999999999 y[1] (analytic) 1.2624668602449187 y[1] (numeric) 1.262466860244918 absolute error 6.661338147750939e-16 relative error 5.276445946833518e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8899999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9178124999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8893323330832618 Order of pole (three term test) 1225.0262565641287 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -2.9949376312288223e-12 TOP MAIN SOLVE Loop x[1] -0.8889999999999999 y[1] (analytic) 1.2653086530662858 y[1] (numeric) 1.2653086530662851 absolute error 6.661338147750939e-16 relative error 5.26459542626867e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8889999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9167812499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8883330832708326 Order of pole (three term test) 1225.0262565641622 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 7.615597041876754e-11 TOP MAIN SOLVE Loop x[1] -0.8879999999999999 y[1] (analytic) 1.2681600519438359 y[1] (numeric) 1.2681600519438352 absolute error 6.661338147750939e-16 relative error 5.252758228380116e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8879999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9157499999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8873338334583597 Order of pole (three term test) 1225.0262565641344 Radius of convergence (six term test) for eq 1 0.6832199656016086 Order of pole (six term test) 6.30961949354969e-12 TOP MAIN SOLVE Loop x[1] -0.8869999999999999 y[1] (analytic) 1.271021100221285 y[1] (numeric) 1.2710211002212843 absolute error 6.661338147750939e-16 relative error 5.240934353167858e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8869999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9147187499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8863345836459173 Order of pole (three term test) 1225.0262565641497 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -2.516742370062275e-11 TOP MAIN SOLVE Loop x[1] -0.8859999999999999 y[1] (analytic) 1.2738918414870906 y[1] (numeric) 1.27389184148709 absolute error 6.661338147750939e-16 relative error 5.2291238006318954e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8859999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9136874999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8853353338334639 Order of pole (three term test) 1225.0262565641492 Radius of convergence (six term test) for eq 1 0.8131041910554949 Order of pole (six term test) 1.0670575534277305e-10 TOP MAIN SOLVE Loop x[1] -0.8849999999999999 y[1] (analytic) 1.2767723195761118 y[1] (numeric) 1.2767723195761111 absolute error 6.661338147750939e-16 relative error 5.217326570772229e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8849999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9126562500000001 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.884336084021008 Order of pole (three term test) 1225.0262565641451 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -2.6112445539183682e-11 TOP MAIN SOLVE Loop x[1] -0.8839999999999999 y[1] (analytic) 1.2796625785712827 y[1] (numeric) 1.2796625785712819 absolute error 8.881784197001252e-16 relative error 6.940723551451808e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8839999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9116249999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8833368342085579 Order of pole (three term test) 1225.0262565641492 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -7.833733661755105e-11 TOP MAIN SOLVE Loop x[1] -0.8829999999999999 y[1] (analytic) 1.2825626628052982 y[1] (numeric) 1.2825626628052975 absolute error 6.661338147750939e-16 relative error 5.1937720790817815e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8829999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.91059375 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8823375843961149 Order of pole (three term test) 1225.0262565641635 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -1.731237375679484e-11 TOP MAIN SOLVE Loop x[1] -0.8819999999999999 y[1] (analytic) 1.285472616862316 y[1] (numeric) 1.2854726168623152 absolute error 8.881784197001252e-16 relative error 6.909353089668e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8819999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9095624999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8813383345836476 Order of pole (three term test) 1225.026256564144 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 7.648637279089598e-11 TOP MAIN SOLVE Loop x[1] -0.8809999999999999 y[1] (analytic) 1.2883924855796676 y[1] (numeric) 1.2883924855796667 absolute error 8.881784197001252e-16 relative error 6.893694504128687e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8809999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9085312499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8803390847711966 Order of pole (three term test) 1225.0262565641465 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -3.9754866065777605e-12 TOP MAIN SOLVE Loop x[1] -0.8799999999999999 y[1] (analytic) 1.291322314049587 y[1] (numeric) 1.2913223140495864 absolute error 6.661338147750939e-16 relative error 5.158540261618326e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8799999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9074999999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8793398349587374 Order of pole (three term test) 1225.026256564138 Radius of convergence (six term test) for eq 1 0.6469036442928808 Order of pole (six term test) -1.971400820366398e-11 TOP MAIN SOLVE Loop x[1] -0.8789999999999999 y[1] (analytic) 1.2942621476209524 y[1] (numeric) 1.2942621476209517 absolute error 6.661338147750939e-16 relative error 5.146822967816432e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8789999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9064687499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8783405851462874 Order of pole (three term test) 1225.0262565641424 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -2.3650414959774935e-11 TOP MAIN SOLVE Loop x[1] -0.8779999999999999 y[1] (analytic) 1.2972120319010387 y[1] (numeric) 1.297212031901038 absolute error 6.661338147750939e-16 relative error 5.135118996690833e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8779999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9054375 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8773413353338324 Order of pole (three term test) 1225.0262565641397 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -1.1652900866465643e-12 TOP MAIN SOLVE Loop x[1] -0.8769999999999999 y[1] (analytic) 1.3001720127572882 y[1] (numeric) 1.3001720127572876 absolute error 6.661338147750939e-16 relative error 5.123428348241531e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8769999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9044062499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8763420855213864 Order of pole (three term test) 1225.0262565641497 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 6.005151931276487e-11 TOP MAIN SOLVE Loop x[1] -0.8759999999999999 y[1] (analytic) 1.303142136319093 y[1] (numeric) 1.3031421363190923 absolute error 6.661338147750939e-16 relative error 5.111751022468523e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8759999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9033749999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8753428357089262 Order of pole (three term test) 1225.0262565641397 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 5.125500024405483e-11 TOP MAIN SOLVE Loop x[1] -0.8749999999999999 y[1] (analytic) 1.3061224489795922 y[1] (numeric) 1.3061224489795915 absolute error 6.661338147750939e-16 relative error 5.1000870193718116e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8749999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9023437499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8743435858964766 Order of pole (three term test) 1225.026256564145 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -6.632916438320535e-11 TOP MAIN SOLVE Loop x[1] -0.8739999999999999 y[1] (analytic) 1.3091129973974835 y[1] (numeric) 1.309112997397483 absolute error 4.440892098500626e-16 relative error 3.392290892634264e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8739999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9013125 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8733443360840253 Order of pole (three term test) 1225.0262565641472 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -5.609024356090231e-11 TOP MAIN SOLVE Loop x[1] -0.8729999999999999 y[1] (analytic) 1.3121138284988503 y[1] (numeric) 1.3121138284988496 absolute error 6.661338147750939e-16 relative error 5.076798981207274e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8729999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.9002812499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8723450862715632 Order of pole (three term test) 1225.0262565641344 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -2.1596946453428245e-11 TOP MAIN SOLVE Loop x[1] -0.8719999999999999 y[1] (analytic) 1.3151249894790005 y[1] (numeric) 1.3151249894789998 absolute error 6.661338147750939e-16 relative error 5.0651749461394486e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8719999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8992499999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.871345836459119 Order of pole (three term test) 1225.0262565641474 Radius of convergence (six term test) for eq 1 1.1229840867877026 Order of pole (six term test) 5.4999560461510555e-11 TOP MAIN SOLVE Loop x[1] -0.8709999999999999 y[1] (analytic) 1.318146527804324 y[1] (numeric) 1.3181465278043234 absolute error 6.661338147750939e-16 relative error 5.053564233747919e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8709999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8982187499999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8703465866466648 Order of pole (three term test) 1225.0262565641458 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 5.780265155408415e-11 TOP MAIN SOLVE Loop x[1] -0.8699999999999999 y[1] (analytic) 1.3211784912141633 y[1] (numeric) 1.3211784912141626 absolute error 6.661338147750939e-16 relative error 5.041966844032685e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8699999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8971874999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8693473368342116 Order of pole (three term test) 1225.0262565641453 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -6.927791673660977e-11 TOP MAIN SOLVE Loop x[1] -0.8689999999999999 y[1] (analytic) 1.324220927722698 y[1] (numeric) 1.324220927722697 absolute error 8.881784197001252e-16 relative error 6.707177035991661e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8689999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8961562499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8683480870217543 Order of pole (three term test) 1225.0262565641397 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.8403056856186595e-12 TOP MAIN SOLVE Loop x[1] -0.8679999999999999 y[1] (analytic) 1.327273885620846 y[1] (numeric) 1.3272738856208453 absolute error 6.661338147750939e-16 relative error 5.018812032631103e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8679999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.895125 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8673488372093018 Order of pole (three term test) 1225.0262565641403 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -3.0095037573119043e-11 TOP MAIN SOLVE Loop x[1] -0.8669999999999999 y[1] (analytic) 1.3303374134781807 y[1] (numeric) 1.33033741347818 absolute error 6.661338147750939e-16 relative error 5.007254610944755e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8669999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.89409375 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8663495873968566 Order of pole (three term test) 1225.026256564152 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -1.1308287639621994e-11 TOP MAIN SOLVE Loop x[1] -0.8659999999999999 y[1] (analytic) 1.3334115601448622 y[1] (numeric) 1.3334115601448613 absolute error 8.881784197001252e-16 relative error 6.66094734924627e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8659999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8930624999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8653503375844008 Order of pole (three term test) 1225.0262565641483 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 5.027445126870589e-11 TOP MAIN SOLVE Loop x[1] -0.8649999999999999 y[1] (analytic) 1.3364963747535838 y[1] (numeric) 1.336496374753583 absolute error 8.881784197001252e-16 relative error 6.64557298080126e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8649999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8920312499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8643510877719565 Order of pole (three term test) 1225.0262565641606 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 6.31494856406789e-11 TOP MAIN SOLVE Loop x[1] -0.8639999999999999 y[1] (analytic) 1.339591906721537 y[1] (numeric) 1.3395919067215358 absolute error 1.1102230246251565e-15 relative error 8.287770469905805e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8639999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.891 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8633518379594914 Order of pole (three term test) 1225.0262565641435 Radius of convergence (six term test) for eq 1 0.6960655575578006 Order of pole (six term test) 5.3152149348534294e-11 TOP MAIN SOLVE Loop x[1] -0.8629999999999999 y[1] (analytic) 1.3426982057523882 y[1] (numeric) 1.342698205752387 absolute error 1.1102230246251565e-15 relative error 8.268596918270528e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8629999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8899687500000001 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.862352588147045 Order of pole (three term test) 1225.026256564153 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -1.963940121640917e-11 TOP MAIN SOLVE Loop x[1] -0.8619999999999999 y[1] (analytic) 1.3458153218382765 y[1] (numeric) 1.3458153218382756 absolute error 8.881784197001252e-16 relative error 6.599556456876596e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8619999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8889374999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8613533383345898 Order of pole (three term test) 1225.0262565641501 Radius of convergence (six term test) for eq 1 4.319287159674043 Order of pole (six term test) 1.4640164636148256e-09 TOP MAIN SOLVE Loop x[1] -0.8609999999999999 y[1] (analytic) 1.3489433052618236 y[1] (numeric) 1.3489433052618227 absolute error 8.881784197001252e-16 relative error 6.584253142705164e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8609999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8879062499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8603540885221351 Order of pole (three term test) 1225.0262565641478 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 4.050093593832571e-11 TOP MAIN SOLVE Loop x[1] -0.8599999999999999 y[1] (analytic) 1.3520822065981615 y[1] (numeric) 1.3520822065981608 absolute error 6.661338147750939e-16 relative error 4.926725694076593e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8599999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8868749999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8593548387096794 Order of pole (three term test) 1225.0262565641442 Radius of convergence (six term test) for eq 1 0.1977844771715892 Order of pole (six term test) 4.462918923309189e-11 TOP MAIN SOLVE Loop x[1] -0.8589999999999999 y[1] (analytic) 1.3552320767169777 y[1] (numeric) 1.355232076716977 absolute error 6.661338147750939e-16 relative error 4.91527485380061e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8589999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8858437499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8583555888972332 Order of pole (three term test) 1225.026256564154 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -1.6633805444143945e-11 TOP MAIN SOLVE Loop x[1] -0.8579999999999999 y[1] (analytic) 1.3583929667845758 y[1] (numeric) 1.3583929667845747 absolute error 1.1102230246251565e-15 relative error 8.173062227001533e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8579999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8848124999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8573563390847762 Order of pole (three term test) 1225.0262565641485 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 5.840306016580143e-11 TOP MAIN SOLVE Loop x[1] -0.8569999999999999 y[1] (analytic) 1.3615649282659523 y[1] (numeric) 1.3615649282659512 absolute error 1.1102230246251565e-15 relative error 8.154021902129213e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8569999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8837812499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8563570892723233 Order of pole (three term test) 1225.026256564149 Radius of convergence (six term test) for eq 1 0.2924266276447075 Order of pole (six term test) 4.644107320928015e-11 TOP MAIN SOLVE Loop x[1] -0.8559999999999999 y[1] (analytic) 1.3647480129268936 y[1] (numeric) 1.3647480129268927 absolute error 8.881784197001252e-16 relative error 6.508003025373907e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8559999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8827499999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8553578394598645 Order of pole (three term test) 1225.0262565641408 Radius of convergence (six term test) for eq 1 1.052173906131778 Order of pole (six term test) 9.536549328004185e-11 TOP MAIN SOLVE Loop x[1] -0.8549999999999999 y[1] (analytic) 1.3679422728360866 y[1] (numeric) 1.367942272836086 absolute error 6.661338147750939e-16 relative error 4.869604719459629e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8549999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8817187499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8543585896474135 Order of pole (three term test) 1225.0262565641435 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -1.0444978215673473e-11 TOP MAIN SOLVE Loop x[1] -0.8539999999999999 y[1] (analytic) 1.3711477603672486 y[1] (numeric) 1.3711477603672477 absolute error 8.881784197001252e-16 relative error 6.477627323420163e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8539999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8806874999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.853359339834966 Order of pole (three term test) 1225.026256564152 Radius of convergence (six term test) for eq 1 0.18436782192357126 Order of pole (six term test) 6.554046194651164e-11 TOP MAIN SOLVE Loop x[1] -0.8529999999999999 y[1] (analytic) 1.3743645282012735 y[1] (numeric) 1.3743645282012724 absolute error 1.1102230246251565e-15 relative error 8.078082647244852e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8529999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8796562499999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8523600900225011 Order of pole (three term test) 1225.0262565641347 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 3.937117298846715e-11 TOP MAIN SOLVE Loop x[1] -0.8519999999999999 y[1] (analytic) 1.3775926293283967 y[1] (numeric) 1.3775926293283955 absolute error 1.1102230246251565e-15 relative error 8.059153344674993e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8519999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8786249999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8513608402100487 Order of pole (three term test) 1225.0262565641356 Radius of convergence (six term test) for eq 1 0.65658317246828 Order of pole (six term test) 2.3579360686198925e-11 TOP MAIN SOLVE Loop x[1] -0.8509999999999999 y[1] (analytic) 1.3808321170503772 y[1] (numeric) 1.3808321170503763 absolute error 8.881784197001252e-16 relative error 6.432196997252502e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8509999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8775937499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8503615903975974 Order of pole (three term test) 1225.0262565641383 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.0e+100 TOP MAIN SOLVE Loop x[1] -0.8499999999999999 y[1] (analytic) 1.3840830449826995 y[1] (numeric) 1.3840830449826984 absolute error 1.1102230246251565e-15 relative error 8.021361352916752e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8499999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8765625 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.849362340585151 Order of pole (three term test) 1225.0262565641485 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 2.4513724383723456e-12 TOP MAIN SOLVE Loop x[1] -0.8489999999999999 y[1] (analytic) 1.3873454670567886 y[1] (numeric) 1.3873454670567877 absolute error 8.881784197001252e-16 relative error 6.401998930982697e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8489999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8755312499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8483630907727002 Order of pole (three term test) 1225.0262565641515 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -3.6415315207705135e-11 TOP MAIN SOLVE Loop x[1] -0.8479999999999999 y[1] (analytic) 1.3906194375222505 y[1] (numeric) 1.3906194375222494 absolute error 1.1102230246251565e-15 relative error 7.983658179000482e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8479999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8745 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.847363840960231 Order of pole (three term test) 1225.0262565641278 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -5.908873390580993e-11 TOP MAIN SOLVE Loop x[1] -0.8469999999999999 y[1] (analytic) 1.3939050109491242 y[1] (numeric) 1.3939050109491233 absolute error 8.881784197001252e-16 relative error 6.37187191898647e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8469999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8734687499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8463645911477998 Order of pole (three term test) 1225.0262565641601 Radius of convergence (six term test) for eq 1 1.5577370180081305 Order of pole (six term test) 3.2180125231207057e-10 TOP MAIN SOLVE Loop x[1] -0.8459999999999999 y[1] (analytic) 1.3972022422301587 y[1] (numeric) 1.3972022422301578 absolute error 8.881784197001252e-16 relative error 6.356835058340947e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8459999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8724374999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8453653413353364 Order of pole (three term test) 1225.026256564145 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.2137491012254031e-10 TOP MAIN SOLVE Loop x[1] -0.8449999999999999 y[1] (analytic) 1.4005111865831035 y[1] (numeric) 1.4005111865831024 absolute error 1.1102230246251565e-15 relative error 7.92726995157977e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8449999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8714062499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8443660915228808 Order of pole (three term test) 1225.0262565641415 Radius of convergence (six term test) for eq 1 1.3153488470140853 Order of pole (six term test) -7.608136343151273e-11 TOP MAIN SOLVE Loop x[1] -0.8439999999999999 y[1] (analytic) 1.4038318995530203 y[1] (numeric) 1.4038318995530195 absolute error 8.881784197001252e-16 relative error 6.326814627755082e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8439999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8703749999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.843366841710425 Order of pole (three term test) 1225.0262565641372 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 5.31983346263587e-11 TOP MAIN SOLVE Loop x[1] -0.8429999999999999 y[1] (analytic) 1.4071644370146166 y[1] (numeric) 1.4071644370146157 absolute error 8.881784197001252e-16 relative error 6.311831057814741e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8429999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8693437499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8423675918979737 Order of pole (three term test) 1225.02625656414 Radius of convergence (six term test) for eq 1 1.2223853030805694 Order of pole (six term test) 6.778932970519236e-11 TOP MAIN SOLVE Loop x[1] -0.8419999999999999 y[1] (analytic) 1.4105088551745932 y[1] (numeric) 1.4105088551745923 absolute error 8.881784197001252e-16 relative error 6.296865251442793e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8419999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8683124999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8413683420855288 Order of pole (three term test) 1225.0262565641522 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 3.6781244716621586e-11 TOP MAIN SOLVE Loop x[1] -0.8409999999999999 y[1] (analytic) 1.4138652105740157 y[1] (numeric) 1.4138652105740146 absolute error 1.1102230246251565e-15 relative error 7.85239651079905e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8409999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8672812499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8403690922730693 Order of pole (three term test) 1225.0262565641428 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -1.0615508472255897e-11 TOP MAIN SOLVE Loop x[1] -0.8399999999999999 y[1] (analytic) 1.4172335600907033 y[1] (numeric) 1.4172335600907024 absolute error 8.881784197001252e-16 relative error 6.266986929404081e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8399999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.86625 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8393698424606224 Order of pole (three term test) 1225.026256564152 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.269029326067539e-11 TOP MAIN SOLVE Loop x[1] -0.8389999999999999 y[1] (analytic) 1.4206139609416402 y[1] (numeric) 1.4206139609416393 absolute error 8.881784197001252e-16 relative error 6.252074413737317e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8389999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8652187499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8383705926481738 Order of pole (three term test) 1225.026256564159 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 6.020428600095329e-11 TOP MAIN SOLVE Loop x[1] -0.8379999999999999 y[1] (analytic) 1.4240064706854032 y[1] (numeric) 1.4240064706854023 absolute error 8.881784197001252e-16 relative error 6.237179661638945e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8379999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8641874999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8373713428357125 Order of pole (three term test) 1225.0262565641467 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 3.1661784305470064e-11 TOP MAIN SOLVE Loop x[1] -0.8369999999999999 y[1] (analytic) 1.4274111472246136 y[1] (numeric) 1.4274111472246127 absolute error 8.881784197001252e-16 relative error 6.222302673108968e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8369999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8631562499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8363720930232569 Order of pole (three term test) 1225.0262565641428 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 8.01705368758121e-11 TOP MAIN SOLVE Loop x[1] -0.8359999999999999 y[1] (analytic) 1.4308280488084069 y[1] (numeric) 1.430828048808406 absolute error 8.881784197001252e-16 relative error 6.207443448147385e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8359999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8621249999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8353728432108053 Order of pole (three term test) 1225.0262565641451 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 8.86331008587149e-11 TOP MAIN SOLVE Loop x[1] -0.8349999999999999 y[1] (analytic) 1.4342572340349244 y[1] (numeric) 1.4342572340349238 absolute error 6.661338147750939e-16 relative error 4.644451490065648e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8349999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8610937499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.834373593398361 Order of pole (three term test) 1225.0262565641583 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.1799627941400104e-10 TOP MAIN SOLVE Loop x[1] -0.8339999999999999 y[1] (analytic) 1.4376987618538268 y[1] (numeric) 1.437698761853826 absolute error 8.881784197001252e-16 relative error 6.1777782889294e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8339999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8600624999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8333743435859009 Order of pole (three term test) 1225.0262565641478 Radius of convergence (six term test) for eq 1 0.5773263813485808 Order of pole (six term test) 7.096900844771881e-11 TOP MAIN SOLVE Loop x[1] -0.8329999999999999 y[1] (analytic) 1.4411526915688249 y[1] (numeric) 1.441152691568824 absolute error 8.881784197001252e-16 relative error 6.162972354673e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8329999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8590312499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8323750937734428 Order of pole (three term test) 1225.0262565641406 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 2.029310053330846e-11 TOP MAIN SOLVE Loop x[1] -0.8319999999999999 y[1] (analytic) 1.4446190828402372 y[1] (numeric) 1.4446190828402363 absolute error 8.881784197001252e-16 relative error 6.148184183984993e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8319999999999999 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.858 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.831375843960988 Order of pole (three term test) 1225.0262565641378 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -6.150813192107307e-11 TOP MAIN SOLVE Loop x[1] -0.8309999999999998 y[1] (analytic) 1.4480979956875648 y[1] (numeric) 1.4480979956875637 absolute error 1.1102230246251565e-15 relative error 7.666767221081724e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8309999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8569687499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8303765941485393 Order of pole (three term test) 1225.0262565641444 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 5.133671265866724e-12 TOP MAIN SOLVE Loop x[1] -0.8299999999999998 y[1] (analytic) 1.4515894904920894 y[1] (numeric) 1.4515894904920883 absolute error 1.1102230246251565e-15 relative error 7.6483264166427e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8299999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8559374999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8293773443360866 Order of pole (three term test) 1225.0262565641453 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.687538997430238e-12 TOP MAIN SOLVE Loop x[1] -0.8289999999999998 y[1] (analytic) 1.455093627999494 y[1] (numeric) 1.455093627999493 absolute error 8.881784197001252e-16 relative error 6.103926253331336e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8289999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8549062499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8283780945236228 Order of pole (three term test) 1225.026256564129 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 9.43600753089413e-12 TOP MAIN SOLVE Loop x[1] -0.8279999999999998 y[1] (analytic) 1.4586104693225053 y[1] (numeric) 1.458610469322504 absolute error 1.3322676295501878e-15 relative error 9.133813705375356e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8279999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8538749999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8273788447111758 Order of pole (three term test) 1225.0262565641383 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -8.234835036091681e-11 TOP MAIN SOLVE Loop x[1] -0.8269999999999998 y[1] (analytic) 1.462140075943556 y[1] (numeric) 1.4621400759435548 absolute error 1.3322676295501878e-15 relative error 9.111764676106301e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8269999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8528437499999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8263795948987334 Order of pole (three term test) 1225.0262565641547 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 2.632205564623291e-11 TOP MAIN SOLVE Loop x[1] -0.8259999999999998 y[1] (analytic) 1.4656825097174755 y[1] (numeric) 1.4656825097174742 absolute error 1.3322676295501878e-15 relative error 9.089742292189837e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8259999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8518125 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.825380345086288 Order of pole (three term test) 1225.026256564166 Radius of convergence (six term test) for eq 1 0.8819816105907174 Order of pole (six term test) 1.7354651049572567e-10 TOP MAIN SOLVE Loop x[1] -0.8249999999999998 y[1] (analytic) 1.469237832874197 y[1] (numeric) 1.4692378328741955 absolute error 1.5543122344752192e-15 relative error 1.0579037645896957e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.8249999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8507812499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8243810952738225 Order of pole (three term test) 1225.0262565641476 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 8.594724931754172e-11 TOP MAIN SOLVE Loop x[1] -0.8239999999999998 y[1] (analytic) 1.4728061080214916 y[1] (numeric) 1.4728061080214903 absolute error 1.3322676295501878e-15 relative error 9.045777460414681e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8239999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8497499999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.823381845461368 Order of pole (three term test) 1225.0262565641456 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 4.0756731323199347e-11 TOP MAIN SOLVE Loop x[1] -0.8229999999999998 y[1] (analytic) 1.4763873981477251 y[1] (numeric) 1.4763873981477234 absolute error 1.7763568394002505e-15 relative error 1.2031780016741318e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.8229999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8487187499999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8223825956489174 Order of pole (three term test) 1225.0262565641492 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 3.2237323921435745e-11 TOP MAIN SOLVE Loop x[1] -0.8219999999999998 y[1] (analytic) 1.4799817666246358 y[1] (numeric) 1.4799817666246342 absolute error 1.5543122344752192e-15 relative error 1.0502239078391536e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.8219999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8476874999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8213833458364682 Order of pole (three term test) 1225.0262565641551 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 7.6575190632866e-11 TOP MAIN SOLVE Loop x[1] -0.8209999999999998 y[1] (analytic) 1.4835892772101407 y[1] (numeric) 1.4835892772101391 absolute error 1.5543122344752192e-15 relative error 1.0476701728379107e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.8209999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8466562499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.820384096024002 Order of pole (three term test) 1225.0262565641353 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.3315570868144277e-10 TOP MAIN SOLVE Loop x[1] -0.8199999999999998 y[1] (analytic) 1.4872099940511605 y[1] (numeric) 1.4872099940511592 absolute error 1.3322676295501878e-15 relative error 8.95816754109546e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8199999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.845625 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8193848462115533 Order of pole (three term test) 1225.026256564142 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -1.885425149339426e-11 TOP MAIN SOLVE Loop x[1] -0.8189999999999998 y[1] (analytic) 1.4908439816864731 y[1] (numeric) 1.4908439816864716 absolute error 1.5543122344752192e-15 relative error 1.042572028708832e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.8189999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8445937499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8183855963990992 Order of pole (three term test) 1225.0262565641406 Radius of convergence (six term test) for eq 1 0.19879600204104872 Order of pole (six term test) 6.926370588189457e-11 TOP MAIN SOLVE Loop x[1] -0.8179999999999998 y[1] (analytic) 1.4944913050495878 y[1] (numeric) 1.4944913050495863 absolute error 1.5543122344752192e-15 relative error 1.0400276195809962e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.8179999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8435624999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8173863465866518 Order of pole (three term test) 1225.026256564149 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -2.568611989772762e-12 TOP MAIN SOLVE Loop x[1] -0.8169999999999998 y[1] (analytic) 1.4981520294716473 y[1] (numeric) 1.4981520294716457 absolute error 1.5543122344752192e-15 relative error 1.0374863190776292e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.8169999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8425312499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.816387096774202 Order of pole (three term test) 1225.0262565641542 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.91420213013771e-11 TOP MAIN SOLVE Loop x[1] -0.8159999999999998 y[1] (analytic) 1.501826220684353 y[1] (numeric) 1.5018262206843511 absolute error 1.7763568394002505e-15 relative error 1.1827978596556927e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.8159999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8414999999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8153878469617466 Order of pole (three term test) 1225.0262565641508 Radius of convergence (six term test) for eq 1 0.5237544152567457 Order of pole (six term test) 5.127276381244883e-11 TOP MAIN SOLVE Loop x[1] -0.8149999999999998 y[1] (analytic) 1.5055139448229145 y[1] (numeric) 1.505513944822913 absolute error 1.5543122344752192e-15 relative error 1.032413043944302e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.8149999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8404687499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8143885971492917 Order of pole (three term test) 1225.0262565641478 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.0e+100 TOP MAIN SOLVE Loop x[1] -0.8139999999999998 y[1] (analytic) 1.509215268429028 y[1] (numeric) 1.5092152684290265 absolute error 1.5543122344752192e-15 relative error 1.029881069314342e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.8139999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8394374999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8133893473368277 Order of pole (three term test) 1225.0262565641315 Radius of convergence (six term test) for eq 1 0.6653414841569155 Order of pole (six term test) -1.376321279167314e-11 TOP MAIN SOLVE Loop x[1] -0.8129999999999998 y[1] (analytic) 1.5129302584538766 y[1] (numeric) 1.5129302584538749 absolute error 1.7763568394002505e-15 relative error 1.1741168037815437e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.8129999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8384062499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8123900975243831 Order of pole (three term test) 1225.0262565641444 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -2.6219026949547697e-12 TOP MAIN SOLVE Loop x[1] -0.8119999999999998 y[1] (analytic) 1.5166589822611571 y[1] (numeric) 1.5166589822611554 absolute error 1.7763568394002505e-15 relative error 1.1712302239175182e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.8119999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8373749999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8113908477119253 Order of pole (three term test) 1225.0262565641372 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 2.0892798602289986e-10 TOP MAIN SOLVE Loop x[1] -0.8109999999999998 y[1] (analytic) 1.5204015076301356 y[1] (numeric) 1.5204015076301338 absolute error 1.7763568394002505e-15 relative error 1.1683471967671715e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.8109999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8363437499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.810391597899478 Order of pole (three term test) 1225.0262565641465 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.4459544672718039e-11 TOP MAIN SOLVE Loop x[1] -0.8099999999999998 y[1] (analytic) 1.5241579027587262 y[1] (numeric) 1.5241579027587246 absolute error 1.5543122344752192e-15 relative error 1.019784257039191e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.8099999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8353124999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8093923480870265 Order of pole (three term test) 1225.026256564149 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 5.3304916036722716e-11 TOP MAIN SOLVE Loop x[1] -0.8089999999999998 y[1] (analytic) 1.5279282362665998 y[1] (numeric) 1.5279282362665978 absolute error 1.9984014443252818e-15 relative error 1.307915775683454e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.8089999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8342812499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8083930982745656 Order of pole (three term test) 1225.0262565641367 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.4072298881728784e-10 TOP MAIN SOLVE Loop x[1] -0.8079999999999998 y[1] (analytic) 1.5317125771983144 y[1] (numeric) 1.5317125771983127 absolute error 1.7763568394002505e-15 relative error 1.1597194315982046e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.8079999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8332499999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8073938484621223 Order of pole (three term test) 1225.0262565641517 Radius of convergence (six term test) for eq 1 0.5600239033090578 Order of pole (six term test) 1.262989712813578e-11 TOP MAIN SOLVE Loop x[1] -0.8069999999999998 y[1] (analytic) 1.5355109950264807 y[1] (numeric) 1.5355109950264787 absolute error 1.9984014443252818e-15 relative error 1.3014569422153947e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.8069999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8322187499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8063945986496636 Order of pole (three term test) 1225.0262565641433 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.0e+100 TOP MAIN SOLVE Loop x[1] -0.8059999999999998 y[1] (analytic) 1.5393235596549457 y[1] (numeric) 1.539323559654944 absolute error 1.7763568394002505e-15 relative error 1.1539853517206209e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.8059999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8311875 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8053953488372133 Order of pole (three term test) 1225.0262565641474 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -5.7347904203197686e-11 TOP MAIN SOLVE Loop x[1] -0.8049999999999998 y[1] (analytic) 1.5431503414220138 y[1] (numeric) 1.5431503414220118 absolute error 1.9984014443252818e-15 relative error 1.2950140959588901e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.8049999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8301562499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8043960990247596 Order of pole (three term test) 1225.0262565641467 Radius of convergence (six term test) for eq 1 0.6619495739937812 Order of pole (six term test) 4.817124477085599e-11 TOP MAIN SOLVE Loop x[1] -0.8039999999999998 y[1] (analytic) 1.5469914111036862 y[1] (numeric) 1.5469914111036842 absolute error 1.9984014443252818e-15 relative error 1.2917986680349709e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.8039999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8291249999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8033968492123086 Order of pole (three term test) 1225.0262565641497 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -3.845457285933662e-11 TOP MAIN SOLVE Loop x[1] -0.8029999999999998 y[1] (analytic) 1.5508468399169373 y[1] (numeric) 1.5508468399169353 absolute error 1.9984014443252818e-15 relative error 1.28858723691394e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.8029999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8280937499999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8023975993998539 Order of pole (three term test) 1225.0262565641474 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 2.7039703809350613e-11 TOP MAIN SOLVE Loop x[1] -0.8019999999999998 y[1] (analytic) 1.5547166995230135 y[1] (numeric) 1.5547166995230115 absolute error 1.9984014443252818e-15 relative error 1.285379802595798e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.8019999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8270624999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8013983495873948 Order of pole (three term test) 1225.026256564138 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -2.8972380050618085e-11 TOP MAIN SOLVE Loop x[1] -0.8009999999999998 y[1] (analytic) 1.5586010620307644 y[1] (numeric) 1.5586010620307622 absolute error 2.220446049250313e-15 relative error 1.4246404056450494e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.8009999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8260312499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.8003990997749366 Order of pole (three term test) 1225.0262565641303 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 8.769234227656852e-10 TOP MAIN SOLVE Loop x[1] -0.7999999999999998 y[1] (analytic) 1.5625000000000007 y[1] (numeric) 1.5624999999999984 absolute error 2.220446049250313e-15 relative error 1.4210854715201999e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7999999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8249999999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7993998499624996 Order of pole (three term test) 1225.0262565641551 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -2.0243362541805254e-11 TOP MAIN SOLVE Loop x[1] -0.7989999999999998 y[1] (analytic) 1.566413586444884 y[1] (numeric) 1.5664135864448818 absolute error 2.220446049250313e-15 relative error 1.4175349782874485e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7989999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8239687499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7984006001500261 Order of pole (three term test) 1225.0262565641235 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 3.226929834454495e-11 TOP MAIN SOLVE Loop x[1] -0.7979999999999998 y[1] (analytic) 1.5703418948373449 y[1] (numeric) 1.5703418948373424 absolute error 2.4424906541753444e-15 relative error 1.555387818541475e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7979999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8229374999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7974013503375843 Order of pole (three term test) 1225.0262565641412 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.0e+100 TOP MAIN SOLVE Loop x[1] -0.7969999999999998 y[1] (analytic) 1.5742849991105297 y[1] (numeric) 1.5742849991105274 absolute error 2.220446049250313e-15 relative error 1.4104473144982415e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7969999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8219062499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7964021005251387 Order of pole (three term test) 1225.0262565641528 Radius of convergence (six term test) for eq 1 0.6119609809138739 Order of pole (six term test) 1.4084022836868826e-10 TOP MAIN SOLVE Loop x[1] -0.7959999999999998 y[1] (analytic) 1.578242973662282 y[1] (numeric) 1.5782429736622796 absolute error 2.4424906541753444e-15 relative error 1.547601158335964e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7959999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8208749999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7954028507126774 Order of pole (three term test) 1225.02625656414 Radius of convergence (six term test) for eq 1 6.46622060718432 Order of pole (six term test) 3.454928787505196e-09 TOP MAIN SOLVE Loop x[1] -0.7949999999999998 y[1] (analytic) 1.5822158933586496 y[1] (numeric) 1.5822158933586472 absolute error 2.4424906541753444e-15 relative error 1.5437151557051712e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7949999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.81984375 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7944036009002221 Order of pole (three term test) 1225.026256564137 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -2.2797763676862814e-11 TOP MAIN SOLVE Loop x[1] -0.7939999999999998 y[1] (analytic) 1.5862038335374258 y[1] (numeric) 1.5862038335374233 absolute error 2.4424906541753444e-15 relative error 1.5398340380556867e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7939999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8188124999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7934043510877832 Order of pole (three term test) 1225.026256564159 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -4.596856228999968e-11 TOP MAIN SOLVE Loop x[1] -0.7929999999999998 y[1] (analytic) 1.5902068700117205 y[1] (numeric) 1.5902068700117182 absolute error 2.220446049250313e-15 relative error 1.3963252776250095e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7929999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8177812499999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7924051012753259 Order of pole (three term test) 1225.0262565641526 Radius of convergence (six term test) for eq 1 1.5441188613746455 Order of pole (six term test) 3.2238389735539386e-10 TOP MAIN SOLVE Loop x[1] -0.7919999999999998 y[1] (analytic) 1.5942250790735648 y[1] (numeric) 1.5942250790735624 absolute error 2.4424906541753444e-15 relative error 1.5320864577006423e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7919999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8167499999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7914058514628747 Order of pole (three term test) 1225.0262565641553 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.4523493518936448e-11 TOP MAIN SOLVE Loop x[1] -0.7909999999999998 y[1] (analytic) 1.5982585374975433 y[1] (numeric) 1.598258537497541 absolute error 2.220446049250313e-15 relative error 1.3892909045409845e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7909999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8157187499999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7904066016504095 Order of pole (three term test) 1225.0262565641365 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 3.511857471494295e-11 TOP MAIN SOLVE Loop x[1] -0.7899999999999998 y[1] (analytic) 1.6023073225444648 y[1] (numeric) 1.6023073225444624 absolute error 2.4424906541753444e-15 relative error 1.5243584172708317e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7899999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8146874999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7894073518379614 Order of pole (three term test) 1225.0262565641444 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 3.540634452292579e-11 TOP MAIN SOLVE Loop x[1] -0.7889999999999998 y[1] (analytic) 1.606371511965059 y[1] (numeric) 1.6063715119650566 absolute error 2.4424906541753444e-15 relative error 1.5205017245278888e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7889999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8136562499999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7884081020255096 Order of pole (three term test) 1225.0262565641467 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 4.901679062641051e-11 TOP MAIN SOLVE Loop x[1] -0.7879999999999998 y[1] (analytic) 1.6104511840037112 y[1] (numeric) 1.6104511840037088 absolute error 2.4424906541753444e-15 relative error 1.5166499167662543e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7879999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8126249999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7874088522130511 Order of pole (three term test) 1225.026256564138 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -3.8049563499953365e-12 TOP MAIN SOLVE Loop x[1] -0.7869999999999998 y[1] (analytic) 1.6145464174022277 y[1] (numeric) 1.6145464174022255 absolute error 2.220446049250313e-15 relative error 1.3752754490781167e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7869999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8115937499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7864096024006019 Order of pole (three term test) 1225.0262565641444 Radius of convergence (six term test) for eq 1 0.6257335727074855 Order of pole (six term test) 8.181899602277554e-11 TOP MAIN SOLVE Loop x[1] -0.7859999999999998 y[1] (analytic) 1.6186572914036357 y[1] (numeric) 1.6186572914036332 absolute error 2.4424906541753444e-15 relative error 1.5089609561869103e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7859999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8105624999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7854103525881416 Order of pole (three term test) 1225.0262565641328 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 3.673505943879718e-12 TOP MAIN SOLVE Loop x[1] -0.7849999999999998 y[1] (analytic) 1.6227838857560153 y[1] (numeric) 1.6227838857560128 absolute error 2.4424906541753444e-15 relative error 1.5051238033692008e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7849999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8095312499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7844111027756976 Order of pole (three term test) 1225.0262565641472 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.1596057447604835e-11 TOP MAIN SOLVE Loop x[1] -0.7839999999999998 y[1] (analytic) 1.6269262807163691 y[1] (numeric) 1.6269262807163665 absolute error 2.6645352591003757e-15 relative error 1.6377725842175996e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7839999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8084999999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7834118529632503 Order of pole (three term test) 1225.0262565641565 Radius of convergence (six term test) for eq 1 0.31171474054808834 Order of pole (six term test) 5.085709631202917e-11 TOP MAIN SOLVE Loop x[1] -0.7829999999999998 y[1] (analytic) 1.631084557054523 y[1] (numeric) 1.6310845570545205 absolute error 2.4424906541753444e-15 relative error 1.497464152677707e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7829999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8074687499999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7824126031507848 Order of pole (three term test) 1225.0262565641367 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -5.1315396376594435e-11 TOP MAIN SOLVE Loop x[1] -0.7819999999999998 y[1] (analytic) 1.6352587960570648 y[1] (numeric) 1.6352587960570621 absolute error 2.6645352591003757e-15 relative error 1.6294272597860974e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7819999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8064374999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7814133533383327 Order of pole (three term test) 1225.0262565641385 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.7127277374129335e-10 TOP MAIN SOLVE Loop x[1] -0.7809999999999998 y[1] (analytic) 1.6394490795313152 y[1] (numeric) 1.6394490795313124 absolute error 2.886579864025407e-15 relative error 1.7607011404408003e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7809999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8054062499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7804141035258875 Order of pole (three term test) 1225.026256564151 Radius of convergence (six term test) for eq 1 0.4615089269523504 Order of pole (six term test) 0.0 TOP MAIN SOLVE Loop x[1] -0.7799999999999998 y[1] (analytic) 1.6436554898093367 y[1] (numeric) 1.643655489809334 absolute error 2.6645352591003757e-15 relative error 1.621103251636668e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7799999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8043749999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7794148537134397 Order of pole (three term test) 1225.0262565641594 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 2.8048674494129955e-11 TOP MAIN SOLVE Loop x[1] -0.7789999999999998 y[1] (analytic) 1.6478781097519786 y[1] (numeric) 1.647878109751976 absolute error 2.6645352591003757e-15 relative error 1.6169492411677304e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7789999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8033437499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7784156039009852 Order of pole (three term test) 1225.026256564157 Radius of convergence (six term test) for eq 1 0.7453204573107708 Order of pole (six term test) 1.113455994072865e-10 TOP MAIN SOLVE Loop x[1] -0.7779999999999998 y[1] (analytic) 1.6521170227529565 y[1] (numeric) 1.6521170227529536 absolute error 2.886579864025407e-15 relative error 1.7472006064167536e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7779999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8023124999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7774163540885236 Order of pole (three term test) 1225.0262565641438 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 9.78452874278446e-11 TOP MAIN SOLVE Loop x[1] -0.7769999999999998 y[1] (analytic) 1.65637231274297 y[1] (numeric) 1.656372312742967 absolute error 2.886579864025407e-15 relative error 1.742711974728194e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7769999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8012812499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7764171042760629 Order of pole (three term test) 1225.0262565641317 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -1.2349232747510541e-11 TOP MAIN SOLVE Loop x[1] -0.7759999999999998 y[1] (analytic) 1.6606440641938578 y[1] (numeric) 1.660644064193855 absolute error 2.886579864025407e-15 relative error 1.7382291161993625e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7759999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.8002499999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7754178544636227 Order of pole (three term test) 1225.0262565641522 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -1.0089706847793423e-12 TOP MAIN SOLVE Loop x[1] -0.7749999999999998 y[1] (analytic) 1.6649323621227896 y[1] (numeric) 1.6649323621227867 absolute error 2.886579864025407e-15 relative error 1.733752030830259e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7749999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7992187499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7744186046511721 Order of pole (three term test) 1225.0262565641563 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -4.2387426901768777e-11 TOP MAIN SOLVE Loop x[1] -0.7739999999999998 y[1] (analytic) 1.6692372920964962 y[1] (numeric) 1.6692372920964933 absolute error 2.886579864025407e-15 relative error 1.7292807186208838e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7739999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7981874999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7734193548387147 Order of pole (three term test) 1225.0262565641494 Radius of convergence (six term test) for eq 1 0.8128674180122439 Order of pole (six term test) 1.74466663338535e-10 TOP MAIN SOLVE Loop x[1] -0.7729999999999998 y[1] (analytic) 1.6735589402355375 y[1] (numeric) 1.6735589402355346 absolute error 2.886579864025407e-15 relative error 1.7248151795712366e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7729999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7971562499999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7724201050262643 Order of pole (three term test) 1225.0262565641538 Radius of convergence (six term test) for eq 1 0.4155569099377049 Order of pole (six term test) 7.453238026755571e-11 TOP MAIN SOLVE Loop x[1] -0.7719999999999998 y[1] (analytic) 1.6778973932186108 y[1] (numeric) 1.6778973932186079 absolute error 2.886579864025407e-15 relative error 1.7203554136813173e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7719999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7961249999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7714208552138053 Order of pole (three term test) 1225.0262565641442 Radius of convergence (six term test) for eq 1 0.30287807273444395 Order of pole (six term test) 5.551825665861543e-11 TOP MAIN SOLVE Loop x[1] -0.7709999999999998 y[1] (analytic) 1.6822527382868955 y[1] (numeric) 1.6822527382868928 absolute error 2.6645352591003757e-15 relative error 1.5839090039548857e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7709999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7950937499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7704216054013531 Order of pole (three term test) 1225.026256564146 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 0.0 TOP MAIN SOLVE Loop x[1] -0.7699999999999998 y[1] (analytic) 1.686625063248441 y[1] (numeric) 1.6866250632484379 absolute error 3.1086244689504383e-15 relative error 1.8431034476407137e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7699999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7940624999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7694223555888905 Order of pole (three term test) 1225.0262565641303 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -5.434941385829006e-11 TOP MAIN SOLVE Loop x[1] -0.7689999999999998 y[1] (analytic) 1.6910144564825893 y[1] (numeric) 1.6910144564825864 absolute error 2.886579864025407e-15 relative error 1.7070107549699278e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7689999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7930312499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7684231057764459 Order of pole (three term test) 1225.0262565641442 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -4.832045874536561e-11 TOP MAIN SOLVE Loop x[1] -0.7679999999999998 y[1] (analytic) 1.6954210069444453 y[1] (numeric) 1.6954210069444424 absolute error 2.886579864025407e-15 relative error 1.7025740817189207e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7679999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7919999999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.767423855963994 Order of pole (three term test) 1225.0262565641465 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 4.303757350498927e-11 TOP MAIN SOLVE Loop x[1] -0.7669999999999998 y[1] (analytic) 1.6998448041693803 y[1] (numeric) 1.6998448041693772 absolute error 3.1086244689504383e-15 relative error 1.8287695802143834e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7669999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7909687499999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7664246061515262 Order of pole (three term test) 1225.0262565641224 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 3.0340174816956278e-12 TOP MAIN SOLVE Loop x[1] -0.7659999999999998 y[1] (analytic) 1.7042859382775812 y[1] (numeric) 1.7042859382775783 absolute error 2.886579864025407e-15 relative error 1.6937180546960908e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7659999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7899374999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7654253563390842 Order of pole (three term test) 1225.0262565641403 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -3.82769371753966e-11 TOP MAIN SOLVE Loop x[1] -0.7649999999999998 y[1] (analytic) 1.7087444999786419 y[1] (numeric) 1.7087444999786385 absolute error 3.3306690738754696e-15 relative error 1.9491908087587704e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7649999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7889062499999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7644261065266396 Order of pole (three term test) 1225.0262565641542 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -4.5353942823567195e-11 TOP MAIN SOLVE Loop x[1] -0.7639999999999998 y[1] (analytic) 1.7132205805761913 y[1] (numeric) 1.7132205805761882 absolute error 3.1086244689504383e-15 relative error 1.814491668028494e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7639999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7878749999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7634268567141894 Order of pole (three term test) 1225.0262565641592 Radius of convergence (six term test) for eq 1 0.21781238483119084 Order of pole (six term test) 5.490363719218294e-11 TOP MAIN SOLVE Loop x[1] -0.7629999999999998 y[1] (analytic) 1.7177142719725724 y[1] (numeric) 1.7177142719725693 absolute error 3.1086244689504383e-15 relative error 1.8097447984644068e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7629999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7868437499999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.762427606901736 Order of pole (three term test) 1225.0262565641588 Radius of convergence (six term test) for eq 1 0.6460490822917958 Order of pole (six term test) 7.961276082824043e-11 TOP MAIN SOLVE Loop x[1] -0.7619999999999998 y[1] (analytic) 1.7222256666735565 y[1] (numeric) 1.7222256666735534 absolute error 3.1086244689504383e-15 relative error 1.8050041461492574e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7619999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7858124999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7614283570892851 Order of pole (three term test) 1225.0262565641624 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 2.547295707699959e-12 TOP MAIN SOLVE Loop x[1] -0.7609999999999998 y[1] (analytic) 1.7267548577931047 y[1] (numeric) 1.7267548577931016 absolute error 3.1086244689504383e-15 relative error 1.8002697110830458e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7609999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7847812499999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7604291072768237 Order of pole (three term test) 1225.0262565641488 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -1.2419150152709335e-09 TOP MAIN SOLVE Loop x[1] -0.7599999999999998 y[1] (analytic) 1.7313019390581728 y[1] (numeric) 1.7313019390581696 absolute error 3.1086244689504383e-15 relative error 1.7955414932657721e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7599999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7837499999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7594298574643721 Order of pole (three term test) 1225.026256564151 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -3.593569886106707e-11 TOP MAIN SOLVE Loop x[1] -0.7589999999999998 y[1] (analytic) 1.7358670048135603 y[1] (numeric) 1.7358670048135572 absolute error 3.1086244689504383e-15 relative error 1.7908194926974363e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7589999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7827187499999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7584306076519232 Order of pole (three term test) 1225.026256564158 Radius of convergence (six term test) for eq 1 1.1930039316953818 Order of pole (six term test) 3.9626613101972907e-10 TOP MAIN SOLVE Loop x[1] -0.7579999999999998 y[1] (analytic) 1.740450150026804 y[1] (numeric) 1.7404501500268008 absolute error 3.1086244689504383e-15 relative error 1.7861037093780386e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7579999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7816874999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7574313578394641 Order of pole (three term test) 1225.0262565641485 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 2.1799451133119874e-11 TOP MAIN SOLVE Loop x[1] -0.7569999999999998 y[1] (analytic) 1.7450514702931175 y[1] (numeric) 1.7450514702931141 absolute error 3.3306690738754696e-15 relative error 1.9086365821152627e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7569999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7806562499999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.756432108027013 Order of pole (three term test) 1225.0262565641515 Radius of convergence (six term test) for eq 1 0.7746733627961107 Order of pole (six term test) 9.031708714246633e-11 TOP MAIN SOLVE Loop x[1] -0.7559999999999998 y[1] (analytic) 1.7496710618403752 y[1] (numeric) 1.749671061840372 absolute error 3.3306690738754696e-15 relative error 1.903597279806489e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7559999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7796249999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7554328582145584 Order of pole (three term test) 1225.0262565641494 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 7.671374646633922e-11 TOP MAIN SOLVE Loop x[1] -0.7549999999999998 y[1] (analytic) 1.7543090215341441 y[1] (numeric) 1.754309021534141 absolute error 3.1086244689504383e-15 relative error 1.7719936629134728e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7549999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7785937499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.754433608402102 Order of pole (three term test) 1225.0262565641438 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 6.928857487764617e-11 TOP MAIN SOLVE Loop x[1] -0.7539999999999998 y[1] (analytic) 1.7589654468827625 y[1] (numeric) 1.7589654468827591 absolute error 3.3306690738754696e-15 relative error 1.8935386592033855e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7539999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7775624999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7534343585896476 Order of pole (three term test) 1225.0262565641415 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 7.65609797781508e-12 TOP MAIN SOLVE Loop x[1] -0.7529999999999998 y[1] (analytic) 1.7636404360424625 y[1] (numeric) 1.7636404360424591 absolute error 3.3306690738754696e-15 relative error 1.888519340909055e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7529999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7765312499999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7524351087771936 Order of pole (three term test) 1225.0262565641399 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -4.274980369700643e-11 TOP MAIN SOLVE Loop x[1] -0.7519999999999998 y[1] (analytic) 1.7683340878225453 y[1] (numeric) 1.7683340878225418 absolute error 3.552713678800501e-15 relative error 2.009073796216397e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7519999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7754999999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7514358589647439 Order of pole (three term test) 1225.026256564146 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -1.2170531249466876e-10 TOP MAIN SOLVE Loop x[1] -0.7509999999999998 y[1] (analytic) 1.7730465016906007 y[1] (numeric) 1.7730465016905974 absolute error 3.3306690738754696e-15 relative error 1.878500688334838e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7509999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7744687499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7504366091522913 Order of pole (three term test) 1225.0262565641467 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 3.8962610915405094e-11 TOP MAIN SOLVE Loop x[1] -0.7499999999999998 y[1] (analytic) 1.7777777777777788 y[1] (numeric) 1.7777777777777752 absolute error 3.552713678800501e-15 relative error 1.9984014443252805e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7499999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7734374999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.749437359339841 Order of pole (three term test) 1225.0262565641515 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 8.742517820792273e-11 TOP MAIN SOLVE Loop x[1] -0.7489999999999998 y[1] (analytic) 1.7825280168841064 y[1] (numeric) 1.782528016884103 absolute error 3.552713678800501e-15 relative error 1.9930759265207587e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7489999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7724062499999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7484381095273887 Order of pole (three term test) 1225.0262565641526 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -1.5656809182473808e-11 TOP MAIN SOLVE Loop x[1] -0.7479999999999998 y[1] (analytic) 1.7872973204838583 y[1] (numeric) 1.7872973204838547 absolute error 3.552713678800501e-15 relative error 1.9877575141435943e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7479999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7713749999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7474388597149308 Order of pole (three term test) 1225.0262565641447 Radius of convergence (six term test) for eq 1 0.9997240830299695 Order of pole (six term test) 4.774847184307873e-11 TOP MAIN SOLVE Loop x[1] -0.7469999999999998 y[1] (analytic) 1.792085790730975 y[1] (numeric) 1.7920857907309715 absolute error 3.552713678800501e-15 relative error 1.9824462071937874e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7469999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7703437499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7464396099024753 Order of pole (three term test) 1225.026256564141 Radius of convergence (six term test) for eq 1 0.7824909407080262 Order of pole (six term test) 2.595612613731646e-11 TOP MAIN SOLVE Loop x[1] -0.7459999999999998 y[1] (analytic) 1.7968935304645341 y[1] (numeric) 1.7968935304645306 absolute error 3.552713678800501e-15 relative error 1.9771420056713381e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7459999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7693124999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7454403600900235 Order of pole (three term test) 1225.026256564143 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -4.488498461796553e-11 TOP MAIN SOLVE Loop x[1] -0.7449999999999998 y[1] (analytic) 1.801720643214271 y[1] (numeric) 1.8017206432142674 absolute error 3.552713678800501e-15 relative error 1.9718449095762467e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7449999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7682812499999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7444411102775672 Order of pole (three term test) 1225.0262565641378 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 4.298073008612846e-11 TOP MAIN SOLVE Loop x[1] -0.7439999999999998 y[1] (analytic) 1.806567233206152 y[1] (numeric) 1.8065672332061486 absolute error 3.3306690738754696e-15 relative error 1.843645236476731e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7439999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7672499999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7434418604651196 Order of pole (three term test) 1225.026256564147 Radius of convergence (six term test) for eq 1 0.49003432236696576 Order of pole (six term test) 5.897504706808832e-11 TOP MAIN SOLVE Loop x[1] -0.7429999999999998 y[1] (analytic) 1.8114334053680028 y[1] (numeric) 1.8114334053679995 absolute error 3.3306690738754696e-15 relative error 1.838692531563878e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7429999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7662187499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.742442610652657 Order of pole (three term test) 1225.0262565641312 Radius of convergence (six term test) for eq 1 3.422658298779633 Order of pole (six term test) -2.115076114250769e-09 TOP MAIN SOLVE Loop x[1] -0.7419999999999998 y[1] (analytic) 1.8163192653351847 y[1] (numeric) 1.8163192653351812 absolute error 3.552713678800501e-15 relative error 1.9559962538551176e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7419999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7651874999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.741443360840213 Order of pole (three term test) 1225.0262565641467 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 7.891642894719553e-11 TOP MAIN SOLVE Loop x[1] -0.7409999999999998 y[1] (analytic) 1.8212249194563292 y[1] (numeric) 1.8212249194563255 absolute error 3.774758283725532e-15 relative error 2.0726480531862976e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7409999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7641562499999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7404441110277581 Order of pole (three term test) 1225.0262565641433 Radius of convergence (six term test) for eq 1 0.666156608861957 Order of pole (six term test) 1.3784529073745944e-12 TOP MAIN SOLVE Loop x[1] -0.7399999999999998 y[1] (analytic) 1.8261504747991246 y[1] (numeric) 1.826150474799121 absolute error 3.552713678800501e-15 relative error 1.945466010511153e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7399999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7631249999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7394448612153036 Order of pole (three term test) 1225.026256564141 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 2.0168755554550444e-11 TOP MAIN SOLVE Loop x[1] -0.7389999999999998 y[1] (analytic) 1.8310960391561588 y[1] (numeric) 1.8310960391561553 absolute error 3.552713678800501e-15 relative error 1.9402115469802073e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7389999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7620937499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7384456114028453 Order of pole (three term test) 1225.0262565641324 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.2985168496015831e-11 TOP MAIN SOLVE Loop x[1] -0.7379999999999998 y[1] (analytic) 1.836061721050816 y[1] (numeric) 1.8360617210508123 absolute error 3.774758283725532e-15 relative error 2.0558994506814073e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7379999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7610624999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7374463615903971 Order of pole (three term test) 1225.0262565641406 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 8.573053378313489e-11 TOP MAIN SOLVE Loop x[1] -0.7369999999999998 y[1] (analytic) 1.8410476297432303 y[1] (numeric) 1.8410476297432266 absolute error 3.774758283725532e-15 relative error 2.0503316822129123e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7369999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7600312499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7364471117779454 Order of pole (three term test) 1225.0262565641428 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -4.569145062305324e-11 TOP MAIN SOLVE Loop x[1] -0.7359999999999998 y[1] (analytic) 1.846053875236296 y[1] (numeric) 1.8460538752362923 absolute error 3.774758283725532e-15 relative error 2.0447714632609846e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7359999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7589999999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7354478619655004 Order of pole (three term test) 1225.0262565641567 Radius of convergence (six term test) for eq 1 0.44554404883335635 Order of pole (six term test) 1.8285462033418298e-10 TOP MAIN SOLVE Loop x[1] -0.7349999999999998 y[1] (analytic) 1.8510805682817355 y[1] (numeric) 1.8510805682817317 absolute error 3.774758283725532e-15 relative error 2.0392187938256245e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7349999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7579687499999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7344486121530419 Order of pole (three term test) 1225.0262565641478 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 2.2211565919860732e-11 TOP MAIN SOLVE Loop x[1] -0.7339999999999998 y[1] (analytic) 1.8561278203862241 y[1] (numeric) 1.8561278203862204 absolute error 3.774758283725532e-15 relative error 2.0336736739068317e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7339999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7569374999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7334493623405851 Order of pole (three term test) 1225.0262565641415 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -9.731948580338212e-11 TOP MAIN SOLVE Loop x[1] -0.7329999999999998 y[1] (analytic) 1.8611957438175744 y[1] (numeric) 1.8611957438175704 absolute error 3.9968028886505635e-15 relative error 2.147438227240171e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7329999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7559062499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7324501125281361 Order of pole (three term test) 1225.0262565641483 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -4.176214929429989e-11 TOP MAIN SOLVE Loop x[1] -0.7319999999999998 y[1] (analytic) 1.866284451610978 y[1] (numeric) 1.866284451610974 absolute error 3.9968028886505635e-15 relative error 2.141582911008298e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7319999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7548749999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7314508627156747 Order of pole (three term test) 1225.0262565641342 Radius of convergence (six term test) for eq 1 0.3362675534246419 Order of pole (six term test) -2.1046275833214168e-11 TOP MAIN SOLVE Loop x[1] -0.7309999999999998 y[1] (analytic) 1.871394057575311 y[1] (numeric) 1.8713940575753067 absolute error 4.218847493575595e-15 relative error 2.2543875655145469e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7309999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7538437499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7304516129032329 Order of pole (three term test) 1225.0262565641535 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.3415046851150692e-11 TOP MAIN SOLVE Loop x[1] -0.7299999999999998 y[1] (analytic) 1.8765246762994945 y[1] (numeric) 1.8765246762994905 absolute error 3.9968028886505635e-15 relative error 2.129896259361884e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7299999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7528124999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7294523630907652 Order of pole (three term test) 1225.0262565641287 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -2.7959856652159942e-12 TOP MAIN SOLVE Loop x[1] -0.7289999999999998 y[1] (analytic) 1.881676423158922 y[1] (numeric) 1.8816764231589178 absolute error 4.218847493575595e-15 relative error 2.242068530833306e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7289999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7517812499999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7284531132783296 Order of pole (three term test) 1225.0262565641585 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 3.0308200393847073e-11 TOP MAIN SOLVE Loop x[1] -0.7279999999999998 y[1] (analytic) 1.886849414321943 y[1] (numeric) 1.8868494143219388 absolute error 4.218847493575595e-15 relative error 2.2359216700351666e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7279999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7507499999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7274538634658659 Order of pole (three term test) 1225.0262565641408 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 6.441425171033188e-11 TOP MAIN SOLVE Loop x[1] -0.7269999999999998 y[1] (analytic) 1.892043766756414 y[1] (numeric) 1.8920437667564096 absolute error 4.440892098500626e-15 relative error 2.3471402599284354e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7269999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7497187499999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7264546136534163 Order of pole (three term test) 1225.0262565641467 Radius of convergence (six term test) for eq 1 0.6815665414927089 Order of pole (six term test) 3.178612928422808e-11 TOP MAIN SOLVE Loop x[1] -0.7259999999999998 y[1] (analytic) 1.8972595982363085 y[1] (numeric) 1.8972595982363045 absolute error 3.9968028886505635e-15 relative error 2.1066188793383832e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7259999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7486874999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7254553638409694 Order of pole (three term test) 1225.0262565641574 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 6.269829100347124e-11 TOP MAIN SOLVE Loop x[1] -0.7249999999999998 y[1] (analytic) 1.902497027348396 y[1] (numeric) 1.9024970273483919 absolute error 4.218847493575595e-15 relative error 2.2175317138106705e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7249999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7476562499999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7244561140285082 Order of pole (three term test) 1225.0262565641435 Radius of convergence (six term test) for eq 1 0.06254956490652297 Order of pole (six term test) 7.354117315117037e-13 TOP MAIN SOLVE Loop x[1] -0.7239999999999998 y[1] (analytic) 1.9077561734989787 y[1] (numeric) 1.9077561734989745 absolute error 4.218847493575595e-15 relative error 2.2114186037924795e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7239999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7466249999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.723456864216059 Order of pole (three term test) 1225.02625656415 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -2.1582735598713043e-11 TOP MAIN SOLVE Loop x[1] -0.7229999999999998 y[1] (analytic) 1.9130371569207 y[1] (numeric) 1.9130371569206959 absolute error 4.218847493575595e-15 relative error 2.2053139314692757e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7229999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7455937499999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7224576144035963 Order of pole (three term test) 1225.0262565641337 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 7.621636655130715e-11 TOP MAIN SOLVE Loop x[1] -0.7219999999999998 y[1] (analytic) 1.9183400986794161 y[1] (numeric) 1.9183400986794117 absolute error 4.440892098500626e-15 relative error 2.314965996674799e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7219999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7445624999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.721458364591154 Order of pole (three term test) 1225.0262565641522 Radius of convergence (six term test) for eq 1 0.15930643044529522 Order of pole (six term test) 3.879918608618027e-11 TOP MAIN SOLVE Loop x[1] -0.7209999999999998 y[1] (analytic) 1.9236651206811326 y[1] (numeric) 1.9236651206811284 absolute error 4.218847493575595e-15 relative error 2.1931298999078293e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7209999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7435312499999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7204591147786862 Order of pole (three term test) 1225.026256564127 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -5.81366066398914e-11 TOP MAIN SOLVE Loop x[1] -0.7199999999999998 y[1] (analytic) 1.9290123456790136 y[1] (numeric) 1.9290123456790094 absolute error 4.218847493575595e-15 relative error 2.187050540669587e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7199999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7424999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7194598649662436 Order of pole (three term test) 1225.026256564145 Radius of convergence (six term test) for eq 1 0.8043266153554095 Order of pole (six term test) 5.8111737644139794e-11 TOP MAIN SOLVE Loop x[1] -0.7189999999999998 y[1] (analytic) 1.934381897280454 y[1] (numeric) 1.9343818972804494 absolute error 4.6629367034256575e-15 relative error 2.410556421139629e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7189999999999998 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7414687499999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7184606151537918 Order of pole (three term test) 1225.0262565641472 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 7.425171588693047e-13 TOP MAIN SOLVE Loop x[1] -0.7179999999999997 y[1] (analytic) 1.9397738999542227 y[1] (numeric) 1.9397738999542182 absolute error 4.440892098500626e-15 relative error 2.2893864581874353e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7179999999999997 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7404374999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7174613653413399 Order of pole (three term test) 1225.0262565641492 Radius of convergence (six term test) for eq 1 0.8008245037453664 Order of pole (six term test) 1.2791190329153324e-10 TOP MAIN SOLVE Loop x[1] -0.7169999999999997 y[1] (analytic) 1.9451884790376779 y[1] (numeric) 1.9451884790376732 absolute error 4.6629367034256575e-15 relative error 2.397164466927391e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7169999999999997 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7394062499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7164621155288823 Order of pole (three term test) 1225.0262565641417 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -7.472067409253214e-11 TOP MAIN SOLVE Loop x[1] -0.7159999999999997 y[1] (analytic) 1.950625760744048 y[1] (numeric) 1.9506257607440436 absolute error 4.440892098500626e-15 relative error 2.2766499796489353e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7159999999999997 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7383749999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7154628657164298 Order of pole (three term test) 1225.0262565641428 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 9.163159120362252e-11 TOP MAIN SOLVE Loop x[1] -0.7149999999999997 y[1] (analytic) 1.9560858721697898 y[1] (numeric) 1.9560858721697851 absolute error 4.6629367034256575e-15 relative error 2.3838098162087797e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7149999999999997 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7373437499999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7144636159039844 Order of pole (three term test) 1225.026256564156 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -4.788525131971255e-10 TOP MAIN SOLVE Loop x[1] -0.7139999999999997 y[1] (analytic) 1.9615689413020125 y[1] (numeric) 1.9615689413020079 absolute error 4.6629367034256575e-15 relative error 2.3771464796595844e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7139999999999997 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7363124999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7134643660915176 Order of pole (three term test) 1225.0262565641324 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -3.439026841078885e-11 TOP MAIN SOLVE Loop x[1] -0.7129999999999997 y[1] (analytic) 1.9670750970259805 y[1] (numeric) 1.967075097025976 absolute error 4.440892098500626e-15 relative error 2.2576118752226632e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7129999999999997 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7352812499999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7124651162790733 Order of pole (three term test) 1225.0262565641474 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -5.6353144373133546e-11 TOP MAIN SOLVE Loop x[1] -0.7119999999999997 y[1] (analytic) 1.9726044691326867 y[1] (numeric) 1.972604469132682 absolute error 4.6629367034256575e-15 relative error 2.363847784181415e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7119999999999997 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7342499999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7114658664666191 Order of pole (three term test) 1225.0262565641458 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 4.6419756927207345e-11 TOP MAIN SOLVE Loop x[1] -0.7109999999999997 y[1] (analytic) 1.9781571883265001 y[1] (numeric) 1.9781571883264957 absolute error 4.440892098500626e-15 relative error 2.2449642145261336e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7109999999999997 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7332187499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7104666166541675 Order of pole (three term test) 1225.0262565641485 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -2.1529444893531036e-11 TOP MAIN SOLVE Loop x[1] -0.7099999999999997 y[1] (analytic) 1.9837333862328919 y[1] (numeric) 1.9837333862328872 absolute error 4.6629367034256575e-15 relative error 2.350586392196872e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7099999999999997 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7321874999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.70946736684171 Order of pole (three term test) 1225.0262565641408 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 6.306777322606649e-11 TOP MAIN SOLVE Loop x[1] -0.7089999999999997 y[1] (analytic) 1.9893331954062332 y[1] (numeric) 1.9893331954062285 absolute error 4.6629367034256575e-15 relative error 2.343969685014711e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7089999999999997 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7311562499999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7084681170292633 Order of pole (three term test) 1225.0262565641517 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -2.7423396886661067e-11 TOP MAIN SOLVE Loop x[1] -0.7079999999999997 y[1] (analytic) 1.9949567493376759 y[1] (numeric) 1.9949567493376712 absolute error 4.6629367034256575e-15 relative error 2.337362303705957e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7079999999999997 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7301249999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7074688672167986 Order of pole (three term test) 1225.0262565641317 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.0583889320514572e-10 TOP MAIN SOLVE Loop x[1] -0.7069999999999997 y[1] (analytic) 2.000604182463105 y[1] (numeric) 2.0006041824631007 absolute error 4.440892098500626e-15 relative error 2.2197754745434382e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7069999999999997 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7290937499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.706469617404359 Order of pole (three term test) 1225.0262565641553 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 8.243716820288682e-11 TOP MAIN SOLVE Loop x[1] -0.7059999999999997 y[1] (analytic) 2.006275630171177 y[1] (numeric) 2.006275630171172 absolute error 4.884981308350689e-15 relative error 2.4348505434090817e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7059999999999997 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7280624999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7054703675919053 Order of pole (three term test) 1225.0262565641542 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 4.530420483206399e-11 TOP MAIN SOLVE Loop x[1] -0.7049999999999997 y[1] (analytic) 2.0119712288114293 y[1] (numeric) 2.011971228811425 absolute error 4.440892098500626e-15 relative error 2.2072343952572724e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7049999999999997 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7270312499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7044711177794518 Order of pole (three term test) 1225.0262565641535 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 2.219024963778793e-11 TOP MAIN SOLVE Loop x[1] -0.7039999999999997 y[1] (analytic) 2.017691115702481 y[1] (numeric) 2.017691115702476 absolute error 4.884981308350689e-15 relative error 2.421074896119533e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7039999999999997 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7259999999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7034718679669941 Order of pole (three term test) 1225.026256564146 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 3.33173488797911e-11 TOP MAIN SOLVE Loop x[1] -0.7029999999999997 y[1] (analytic) 2.0234354291403047 y[1] (numeric) 2.0234354291403 absolute error 4.884981308350689e-15 relative error 2.4142017274186836e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7029999999999997 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7249687499999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7024726181545449 Order of pole (three term test) 1225.0262565641524 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -3.560174377525982e-11 TOP MAIN SOLVE Loop x[1] -0.7019999999999997 y[1] (analytic) 2.029204308406589 y[1] (numeric) 2.0292043084065843 absolute error 4.884981308350689e-15 relative error 2.407338328680451e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7019999999999997 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7239374999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7014733683420873 Order of pole (three term test) 1225.0262565641447 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 5.0118131866838667e-11 TOP MAIN SOLVE Loop x[1] -0.7009999999999997 y[1] (analytic) 2.0349978937771813 y[1] (numeric) 2.0349978937771764 absolute error 4.884981308350689e-15 relative error 2.4004846999048354e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7009999999999997 Order of pole (given) 3.0 Radius of convergence (ratio test) for eq 1 0.7229062499999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.7004741185296331 Order of pole (three term test) 1225.0262565641428 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 6.59348131648585e-11 Finished! diff ( y , x , 1 ) = m1 * 2.0 / x / x / x ; Iterations 300 Total Elapsed Time 1.0 Seconds Elapsed Time(since restart) 1.0 Seconds Time to Timeout 2 Minutes 59.0 Seconds Percent Done 100.3333333333334%