##############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=20 ! #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 #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 1.8758827696078435e-48 max_value3 1.8758827696078435e-48 value3 1.8758827696078435e-48 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 Real estimate of pole used for equation 1 Radius of convergence 0.9963369963369947 Order of pole 225.05494505494465 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 Real estimate of pole used for equation 1 Radius of convergence 0.9953406593406595 Order of pole 225.0549450549451 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9943443223443221 Order of pole 225.05494505494505 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.993347985347987 Order of pole 225.05494505494542 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9923516483516507 Order of pole 225.0549450549456 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9913553113553109 Order of pole 225.05494505494494 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9903589743589732 Order of pole 225.05494505494482 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9893626373626379 Order of pole 225.05494505494514 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9883663003663046 Order of pole 225.05494505494602 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9873699633699641 Order of pole 225.05494505494522 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 Complex estimate of poles used for equation 1 Radius of convergence 0.5910017974415938 Order of pole 1.0444978215673473e-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 Complex estimate of poles used for equation 1 Radius of convergence 0.5908023484188833 Order of pole 1.0462741784067475e-12 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9843809523809511 Order of pole 225.05494505494477 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 Real estimate of pole used for equation 1 Radius of convergence 0.983384615384615 Order of pole 225.05494505494497 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 Complex estimate of poles used for equation 1 Radius of convergence 0.27364210202381534 Order of pole 8.08242361927114e-13 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 Real estimate of pole used for equation 1 Radius of convergence 0.9813919413919426 Order of pole 225.05494505494534 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 Real estimate of pole used for equation 1 Radius of convergence 0.9803956043956024 Order of pole 225.0549450549446 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9793992673992634 Order of pole 225.05494505494414 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 Real estimate of pole used for equation 1 Radius of convergence 0.9784029304029327 Order of pole 225.05494505494556 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 Real estimate of pole used for equation 1 Radius of convergence 0.9774065934065953 Order of pole 225.0549450549455 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 Complex estimate of poles used for equation 1 Radius of convergence 0.9656263696246429 Order of pole 1.1262102361797588e-12 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 Real estimate of pole used for equation 1 Radius of convergence 0.9754139194139217 Order of pole 225.05494505494562 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 Real estimate of pole used for equation 1 Radius of convergence 0.9744175824175857 Order of pole 225.0549450549458 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 Real estimate of pole used for equation 1 Radius of convergence 0.973421245421248 Order of pole 225.05494505494562 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9724249084249073 Order of pole 225.05494505494477 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 15 h 0.001 Complex estimate of poles used for equation 1 Radius of convergence 0.861675886475732 Order of pole 3.3946179200938786e-12 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 Real estimate of pole used for equation 1 Radius of convergence 0.970432234432239 Order of pole 225.05494505494613 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 Real estimate of pole used for equation 1 Radius of convergence 0.9694358974358914 Order of pole 225.0549450549436 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 Real estimate of pole used for equation 1 Radius of convergence 0.9684395604395621 Order of pole 225.05494505494545 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9674432234432206 Order of pole 225.05494505494443 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9664468864468867 Order of pole 225.0549450549451 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.965450549450549 Order of pole 225.05494505494494 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9644542124542166 Order of pole 225.05494505494605 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9634578754578788 Order of pole 225.05494505494585 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.962461538461538 Order of pole 225.05494505494494 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9614652014652042 Order of pole 225.0549450549457 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9604688644688647 Order of pole 225.0549450549451 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9594725274725285 Order of pole 225.0549450549453 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9584761904761917 Order of pole 225.05494505494534 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 15 h 0.001 Complex estimate of poles used for equation 1 Radius of convergence 0.7617319659364342 Order of pole 1.106670310946356e-12 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9564835164835199 Order of pole 225.0549450549459 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 15 h 0.001 Complex estimate of poles used for equation 1 Radius of convergence 0.459082932253201 Order of pole 2.2026824808563106e-12 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9544908424908466 Order of pole 225.05494505494607 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.953494505494507 Order of pole 225.05494505494542 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9524981684981696 Order of pole 225.0549450549453 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 15 h 0.001 Complex estimate of poles used for equation 1 Radius of convergence 0.7859895686930835 Order of pole 5.577760475716786e-13 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.950505494505494 Order of pole 225.05494505494494 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9495091575091587 Order of pole 225.05494505494534 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.94851282051282 Order of pole 225.054945054945 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9475164835164858 Order of pole 225.05494505494562 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9465201465201476 Order of pole 225.0549450549453 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.945523809523812 Order of pole 225.05494505494565 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9445274725274695 Order of pole 225.05494505494434 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 15 h 0.001 Complex estimate of poles used for equation 1 Radius of convergence 0.6869570936925448 Order of pole 1.3145040611561853e-13 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9425347985347993 Order of pole 225.05494505494522 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9415384615384619 Order of pole 225.0549450549451 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9405421245421267 Order of pole 225.05494505494562 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9395457875457869 Order of pole 225.05494505494494 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9385494505494527 Order of pole 225.05494505494556 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9375531135531155 Order of pole 225.05494505494556 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9365567765567738 Order of pole 225.05494505494437 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9355604395604362 Order of pole 225.05494505494423 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9345641025641027 Order of pole 225.05494505494508 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9335677655677673 Order of pole 225.05494505494553 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9325714285714258 Order of pole 225.05494505494437 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9315750915750886 Order of pole 225.05494505494428 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9305787545787573 Order of pole 225.05494505494576 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9295824175824191 Order of pole 225.05494505494548 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9285860805860826 Order of pole 225.05494505494556 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9275897435897431 Order of pole 225.05494505494488 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9265934065934064 Order of pole 225.05494505494505 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9255970695970706 Order of pole 225.05494505494534 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9246007326007284 Order of pole 225.054945054944 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9236043956043929 Order of pole 225.05494505494434 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9226080586080562 Order of pole 225.05494505494448 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9216117216117183 Order of pole 225.05494505494428 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9206153846153898 Order of pole 225.0549450549464 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9196190476190502 Order of pole 225.05494505494573 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 15 h 0.001 Complex estimate of poles used for equation 1 Radius of convergence 0.2507328953600673 Order of pole 2.497557716196752e-12 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9176263736263744 Order of pole 225.0549450549453 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9166300366300356 Order of pole 225.05494505494477 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9156336996337013 Order of pole 225.05494505494548 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.91463736263736 Order of pole 225.0549450549444 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9136410256410284 Order of pole 225.05494505494573 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9126446886446905 Order of pole 225.05494505494556 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9116483516483528 Order of pole 225.0549450549454 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9106520146520142 Order of pole 225.05494505494497 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9096556776556803 Order of pole 225.05494505494576 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 15 h 0.001 Complex estimate of poles used for equation 1 Radius of convergence 0.8721057396055435 Order of pole 2.1795898419441073e-12 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.907663003663007 Order of pole 225.05494505494593 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9066666666666671 Order of pole 225.05494505494516 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9056703296703296 Order of pole 225.05494505494505 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9046739926739885 Order of pole 225.054945054944 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9036776556776528 Order of pole 225.05494505494437 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 15 h 0.001 Complex estimate of poles used for equation 1 Radius of convergence 0.4595071102827041 Order of pole 2.474465077284549e-12 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9016849816849845 Order of pole 225.0549450549458 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.9006886446886461 Order of pole 225.05494505494542 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8996923076923112 Order of pole 225.05494505494596 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8986959706959671 Order of pole 225.05494505494414 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8976996336996342 Order of pole 225.05494505494516 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 15 h 0.001 Complex estimate of poles used for equation 1 Radius of convergence 0.4549245551487353 Order of pole 3.0127011996228248e-12 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8957069597069619 Order of pole 225.05494505494565 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8947106227106257 Order of pole 225.05494505494582 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8937142857142842 Order of pole 225.05494505494468 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 15 h 0.001 Complex estimate of poles used for equation 1 Radius of convergence 0.6112924831864109 Order of pole 3.5349501104064984e-12 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8917216117216128 Order of pole 225.0549450549454 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8907252747252783 Order of pole 225.05494505494602 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8897289377289407 Order of pole 225.05494505494585 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8887326007325992 Order of pole 225.05494505494465 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8877362637362616 Order of pole 225.05494505494448 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8867399267399242 Order of pole 225.05494505494448 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8857435897435946 Order of pole 225.0549450549463 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8847472527472516 Order of pole 225.0549450549448 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8837509157509171 Order of pole 225.05494505494545 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8827545787545811 Order of pole 225.05494505494573 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.881758241758245 Order of pole 225.05494505494593 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8807619047619074 Order of pole 225.0549450549458 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8797655677655689 Order of pole 225.0549450549454 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8787692307692339 Order of pole 225.0549450549459 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8777728937728914 Order of pole 225.05494505494443 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8767765567765567 Order of pole 225.0549450549451 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 15 h 0.001 Complex estimate of poles used for equation 1 Radius of convergence 0.8036218355716963 Order of pole 1.2096990076315706e-12 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.874783882783886 Order of pole 225.05494505494593 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8737875457875421 Order of pole 225.0549450549441 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.872791208791208 Order of pole 225.05494505494485 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8717948717948726 Order of pole 225.0549450549453 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8707985347985344 Order of pole 225.05494505494497 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8698021978021957 Order of pole 225.0549450549445 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8688058608058565 Order of pole 225.05494505494394 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 15 h 0.001 Complex estimate of poles used for equation 1 Radius of convergence 0.576879924907525 Order of pole 2.3572255258841324e-12 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8668131868131859 Order of pole 225.05494505494485 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 15 h 0.001 Complex estimate of poles used for equation 1 Radius of convergence 0.8357899868906106 Order of pole 1.545430450278218e-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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8648205128205158 Order of pole 225.05494505494588 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8638241758241764 Order of pole 225.05494505494525 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8628278388278385 Order of pole 225.054945054945 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8618315018315019 Order of pole 225.0549450549451 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8608351648351628 Order of pole 225.0549450549445 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8598388278388281 Order of pole 225.05494505494514 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8588424908424962 Order of pole 225.05494505494653 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8578461538461554 Order of pole 225.05494505494553 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8568498168498183 Order of pole 225.05494505494548 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.855853479853481 Order of pole 225.05494505494542 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.854857142857142 Order of pole 225.05494505494482 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8538608058608047 Order of pole 225.0549450549448 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8528644688644723 Order of pole 225.05494505494605 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8518681318681303 Order of pole 225.05494505494465 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8508717948717945 Order of pole 225.05494505494505 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8498754578754573 Order of pole 225.0549450549449 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8488791208791174 Order of pole 225.05494505494414 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8478827838827832 Order of pole 225.0549450549449 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8468864468864473 Order of pole 225.05494505494525 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8458901098901106 Order of pole 225.0549450549453 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8448937728937705 Order of pole 225.05494505494445 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8438974358974353 Order of pole 225.05494505494494 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 15 h 0.001 Complex estimate of poles used for equation 1 Radius of convergence 0.18493865606284507 Order of pole 2.120970066243899e-12 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8419047619047575 Order of pole 225.05494505494394 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.840908424908427 Order of pole 225.05494505494565 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8399120879120887 Order of pole 225.05494505494534 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8389157509157544 Order of pole 225.05494505494605 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8379194139194145 Order of pole 225.05494505494528 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8369230769230774 Order of pole 225.05494505494525 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8359267399267353 Order of pole 225.0549450549438 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8349304029303986 Order of pole 225.05494505494394 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.83393406593407 Order of pole 225.05494505494622 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8329377289377301 Order of pole 225.0549450549454 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 15 h 0.001 Complex estimate of poles used for equation 1 Radius of convergence 0.42164434313274807 Order of pole 1.3784529073745944e-12 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8309450549450533 Order of pole 225.05494505494462 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8299487179487175 Order of pole 225.05494505494494 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8289523809523816 Order of pole 225.05494505494528 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8279560439560432 Order of pole 225.05494505494485 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.826959706959708 Order of pole 225.05494505494536 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8259633699633707 Order of pole 225.0549450549453 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.824967032967031 Order of pole 225.0549450549445 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8239706959706974 Order of pole 225.05494505494542 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8229743589743596 Order of pole 225.05494505494522 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8219780219780218 Order of pole 225.05494505494505 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8209816849816863 Order of pole 225.0549450549455 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 14 h 0.001 Complex estimate of poles used for equation 1 Radius of convergence 0.42860254426192207 Order of pole 1.2825296380469808e-12 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.818989010989013 Order of pole 225.05494505494568 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8179926739926765 Order of pole 225.05494505494582 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 15 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.816996336996339 Order of pole 225.05494505494568 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8160000000000006 Order of pole 225.05494505494528 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8150036630036647 Order of pole 225.05494505494556 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8140073260073254 Order of pole 225.0549450549449 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 14 h 0.001 Complex estimate of poles used for equation 1 Radius of convergence 0.5724289835225 Order of pole 2.6627589022609754e-12 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8120146520146506 Order of pole 225.05494505494468 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8110183150183169 Order of pole 225.0549450549456 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8100219780219788 Order of pole 225.05494505494534 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8090256410256407 Order of pole 225.05494505494502 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8080293040293055 Order of pole 225.0549450549455 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 14 h 0.001 Complex estimate of poles used for equation 1 Radius of convergence 0.22880404036838264 Order of pole 1.5276668818842154e-13 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8060366300366264 Order of pole 225.05494505494406 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8050402930402956 Order of pole 225.0549450549458 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8040439560439527 Order of pole 225.05494505494417 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8030476190476222 Order of pole 225.05494505494602 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8020512820512798 Order of pole 225.05494505494448 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8010549450549467 Order of pole 225.05494505494556 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.8000586080586071 Order of pole 225.05494505494482 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.799062271062269 Order of pole 225.0549450549445 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7980659340659325 Order of pole 225.05494505494465 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7970695970695947 Order of pole 225.0549450549444 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7960732600732555 Order of pole 225.05494505494377 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7950769230769227 Order of pole 225.05494505494497 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7940805860805848 Order of pole 225.05494505494474 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 14 h 0.001 Complex estimate of poles used for equation 1 Radius of convergence 0.45657721155821 Order of pole 2.0552448631860898e-12 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7920879120879104 Order of pole 225.05494505494465 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7910915750915729 Order of pole 225.05494505494445 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 14 h 0.001 Complex estimate of poles used for equation 1 Radius of convergence 0.49189670739297403 Order of pole 1.113775738303957e-12 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7890989010988994 Order of pole 225.05494505494462 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7881025641025646 Order of pole 225.05494505494525 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7871062271062255 Order of pole 225.05494505494465 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.786109890109888 Order of pole 225.05494505494445 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7851135531135558 Order of pole 225.05494505494585 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7841172161172157 Order of pole 225.054945054945 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7831208791208776 Order of pole 225.05494505494468 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7821245421245384 Order of pole 225.054945054944 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7811282051282058 Order of pole 225.0549450549453 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7801318681318694 Order of pole 225.05494505494548 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7791355311355308 Order of pole 225.05494505494502 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7781391941391927 Order of pole 225.0549450549447 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7771428571428536 Order of pole 225.05494505494408 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7761465201465185 Order of pole 225.05494505494465 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7751501831501817 Order of pole 225.05494505494462 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7741538461538466 Order of pole 225.05494505494525 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7731575091575057 Order of pole 225.0549450549441 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7721611721611732 Order of pole 225.05494505494542 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7711648351648324 Order of pole 225.05494505494428 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7701684981684966 Order of pole 225.05494505494468 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7691721611721598 Order of pole 225.05494505494468 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7681758241758249 Order of pole 225.05494505494536 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7671794871794846 Order of pole 225.05494505494428 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 14 h 0.001 Complex estimate of poles used for equation 1 Radius of convergence 0.6196113551812801 Order of pole 2.3643309532417334e-12 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7651868131868124 Order of pole 225.0549450549449 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7641904761904772 Order of pole 225.05494505494542 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7631941391941355 Order of pole 225.054945054944 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7621978021978 Order of pole 225.05494505494443 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7612014652014631 Order of pole 225.0549450549445 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 14 h 0.001 Complex estimate of poles used for equation 1 Radius of convergence 0.4589986251361418 Order of pole 1.5116796703296131e-12 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.759208791208792 Order of pole 225.05494505494536 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7582124542124522 Order of pole 225.0549450549445 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.757216117216116 Order of pole 225.05494505494477 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7562197802197808 Order of pole 225.0549450549453 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7552234432234434 Order of pole 225.05494505494516 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7542271062271068 Order of pole 225.05494505494522 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7532307692307699 Order of pole 225.05494505494534 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7522344322344336 Order of pole 225.05494505494553 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7512380952380969 Order of pole 225.05494505494562 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7502417582417584 Order of pole 225.0549450549452 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7492454212454225 Order of pole 225.05494505494553 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7482490842490831 Order of pole 225.05494505494474 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7472527472527473 Order of pole 225.05494505494514 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.74625641025641 Order of pole 225.054945054945 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7452600732600752 Order of pole 225.0549450549457 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7442637362637387 Order of pole 225.05494505494585 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7432673992673984 Order of pole 225.05494505494485 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7422710622710599 Order of pole 225.05494505494437 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7412747252747265 Order of pole 225.0549450549455 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7402783882783879 Order of pole 225.05494505494502 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7392820512820504 Order of pole 225.05494505494482 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7382857142857133 Order of pole 225.05494505494482 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.737289377289377 Order of pole 225.05494505494508 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7362930402930424 Order of pole 225.05494505494576 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7352967032967005 Order of pole 225.05494505494426 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7343003663003693 Order of pole 225.05494505494613 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7333040293040275 Order of pole 225.0549450549446 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 14 h 0.001 Real estimate of pole used for equation 1 Radius of convergence 0.7323076923076949 Order of pole 225.05494505494596 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 14 h 0.001 Complex estimate of poles used for equation 1 Radius of convergence 0.0121972883036304 Order of pole 1.2683187833317788e-12 TOP MAIN SOLVE Loop x[1] -0.7329022440526732 y[1] (analytic) 1.8616922768505362 y[1] (numeric) 1.8616922768505333 absolute error 2.886579864025407e-15 relative error 1.5505139597553118e-13% Correct digits 14 h 0.000121972883036304 Real estimate of pole used for equation 1 Radius of convergence 0.7302176204480866 Order of pole 225.05494505494562 TOP MAIN SOLVE Loop x[1] -0.731926460988383 y[1] (analytic) 1.8666594936841705 y[1] (numeric) 1.8666594936841683 absolute error 2.220446049250313e-15 relative error 1.1895292402086063e-13% Correct digits 14 h 0.000121972883036304 Real estimate of pole used for equation 1 Radius of convergence 0.7292454116807331 Order of pole 225.05494505494502 TOP MAIN SOLVE Loop x[1] -0.7309506779240927 y[1] (analytic) 1.8716466167605696 y[1] (numeric) 1.8716466167605685 absolute error 1.1102230246251565e-15 relative error 5.931798314292477e-14% Correct digits 15 h 0.000121972883036304 Real estimate of pole used for equation 1 Radius of convergence 0.7282732029133793 Order of pole 225.05494505494423 TOP MAIN SOLVE Loop x[1] -0.7299748948598025 y[1] (analytic) 1.8766537525883356 y[1] (numeric) 1.8766537525883356 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.000121972883036304 Real estimate of pole used for equation 1 Radius of convergence 0.72730099414603 Order of pole 225.05494505494494 TOP MAIN SOLVE Loop x[1] -0.7289991117955122 y[1] (analytic) 1.881681008389368 y[1] (numeric) 1.8816810083893691 absolute error 1.1102230246251565e-15 relative error 5.900165966894974e-14% Correct digits 15 h 0.000121972883036304 Real estimate of pole used for equation 1 Radius of convergence 0.7263287853786802 Order of pole 225.05494505494548 TOP MAIN SOLVE Loop x[1] -0.7279013558481857 y[1] (analytic) 1.887360855248356 y[1] (numeric) 1.8873608552483585 absolute error 2.4424906541753444e-15 relative error 1.2941301857476214e-13% Correct digits 14 h 0.000121972883036304 Complex estimate of poles used for equation 1 Radius of convergence 0.2688050761772486 Order of pole 2.3874235921539366e-12 TOP MAIN SOLVE Loop x[1] -0.7269255727838955 y[1] (analytic) 1.8924312252929567 y[1] (numeric) 1.8924312252929598 absolute error 3.1086244689504383e-15 relative error 1.6426617926203418e-13% Correct digits 14 h 0.000121972883036304 Complex estimate of poles used for equation 1 Radius of convergence 0.2038952988677595 Order of pole 1.3873346915715956e-12 TOP MAIN SOLVE Loop x[1] -0.7259497897196052 y[1] (analytic) 1.8975220550402125 y[1] (numeric) 1.8975220550402165 absolute error 3.9968028886505635e-15 relative error 2.106327501192529e-13% Correct digits 14 h 0.000121972883036304 Real estimate of pole used for equation 1 Radius of convergence 0.7232906329807065 Order of pole 225.0549450549454 TOP MAIN SOLVE Loop x[1] -0.724974006655315 y[1] (analytic) 1.9026334547156525 y[1] (numeric) 1.9026334547156576 absolute error 5.10702591327572e-15 relative error 2.684188013523058e-13% Correct digits 14 h 0.000121972883036304 Real estimate of pole used for equation 1 Radius of convergence 0.7223184242133528 Order of pole 225.05494505494465 TOP MAIN SOLVE Loop x[1] -0.7239982235910247 y[1] (analytic) 1.9077655352880991 y[1] (numeric) 1.907765535288105 absolute error 5.995204332975845e-15 relative error 3.1425268053552954e-13% Correct digits 14 h 0.000121972883036304 Real estimate of pole used for equation 1 Radius of convergence 0.7213462154460032 Order of pole 225.05494505494525 TOP MAIN SOLVE Loop x[1] -0.7229004676436982 y[1] (analytic) 1.91356398519833 y[1] (numeric) 1.9135639851983375 absolute error 7.549516567451064e-15 relative error 3.9452647655618373e-13% Correct digits 14 h 0.000121972883036304 Real estimate of pole used for equation 1 Radius of convergence 0.7202524805827347 Order of pole 225.05494505494582 TOP MAIN SOLVE Loop x[1] -0.721924684579408 y[1] (analytic) 1.9187403845568438 y[1] (numeric) 1.918740384556852 absolute error 8.215650382226158e-15 relative error 4.28179364355416e-13% Correct digits 14 h 0.000121972883036304 Real estimate of pole used for equation 1 Radius of convergence 0.7192802718153817 Order of pole 225.05494505494534 TOP MAIN SOLVE Loop x[1] -0.7209489015151177 y[1] (analytic) 1.923937816447344 y[1] (numeric) 1.923937816447353 absolute error 9.103828801926284e-15 relative error 4.731872685332939e-13% Correct digits 14 h 0.000121972883036304 Real estimate of pole used for equation 1 Radius of convergence 0.7183080630480294 Order of pole 225.05494505494508 TOP MAIN SOLVE Loop x[1] -0.7199731184508275 y[1] (analytic) 1.929156394969034 y[1] (numeric) 1.9291563949690445 absolute error 1.0436096431476471e-14 relative error 5.409668422265986e-13% Correct digits 14 h 0.000121972883036304 Real estimate of pole used for equation 1 Radius of convergence 0.7173358542806761 Order of pole 225.05494505494448 TOP MAIN SOLVE Loop x[1] -0.7189973353865372 y[1] (analytic) 1.9343962349958879 y[1] (numeric) 1.934396234995899 absolute error 1.1102230246251565e-14 relative error 5.739377509838447e-13% Correct digits 14 h 0.000121972883036304 Real estimate of pole used for equation 1 Radius of convergence 0.7163636455133253 Order of pole 225.05494505494474 TOP MAIN SOLVE Loop x[1] -0.7178995794392107 y[1] (analytic) 1.9403166132036966 y[1] (numeric) 1.9403166132037089 absolute error 1.2212453270876722e-14 relative error 6.294051799470237e-13% Correct digits 14 h 0.000121972883036304 Real estimate of pole used for equation 1 Radius of convergence 0.7152699106500575 Order of pole 225.05494505494553 TOP MAIN SOLVE Loop x[1] -0.7169237963749204 y[1] (analytic) 1.9456020189207326 y[1] (numeric) 1.945602018920746 absolute error 1.3322676295501878e-14 relative error 6.847585562689874e-13% Correct digits 14 h 0.000121972883036304 Real estimate of pole used for equation 1 Radius of convergence 0.7142977018827076 Order of pole 225.05494505494602 TOP MAIN SOLVE Loop x[1] -0.7159480133106302 y[1] (analytic) 1.9509090501876978 y[1] (numeric) 1.9509090501877122 absolute error 1.4432899320127035e-14 relative error 7.398038016553586e-13% Correct digits 14 h 0.000121972883036304 Real estimate of pole used for equation 1 Radius of convergence 0.7133254931153531 Order of pole 225.05494505494502 TOP MAIN SOLVE Loop x[1] -0.7149722302463399 y[1] (analytic) 1.9562378251419843 y[1] (numeric) 1.9562378251419992 absolute error 1.4876988529977098e-14 relative error 7.604897696371514e-13% Correct digits 14 h 0.000121972883036304 Real estimate of pole used for equation 1 Radius of convergence 0.712353284348007 Order of pole 225.05494505494676 TOP MAIN SOLVE Loop x[1] -0.7139964471820497 y[1] (analytic) 1.9615884627287965 y[1] (numeric) 1.9615884627288125 absolute error 1.5987211554602254e-14 relative error 8.150135391988487e-13% Correct digits 14 h 0.000121972883036304 Real estimate of pole used for equation 1 Radius of convergence 0.7113810755806513 Order of pole 225.0549450549454 TOP MAIN SOLVE Loop x[1] -0.7128986912347232 y[1] (analytic) 1.9676342118386128 y[1] (numeric) 1.9676342118386299 absolute error 1.709743457922741e-14 relative error 8.689335891985272e-13% Correct digits 14 h 0.000121972883036304 Real estimate of pole used for equation 1 Radius of convergence 0.710287340717379 Order of pole 225.0549450549448 TOP MAIN SOLVE Loop x[1] -0.7119229081704329 y[1] (analytic) 1.9730317061817195 y[1] (numeric) 1.9730317061817375 absolute error 1.7985612998927536e-14 relative error 9.115724264631271e-13% Correct digits 14 h 0.000121972883036304 Real estimate of pole used for equation 1 Radius of convergence 0.7093151319500305 Order of pole 225.05494505494573 TOP MAIN SOLVE Loop x[1] -0.7109471251061427 y[1] (analytic) 1.9784514401411861 y[1] (numeric) 1.9784514401412052 absolute error 1.9095836023552692e-14 relative error 9.651910396238977e-13% Correct digits 14 h 0.000121972883036304 Real estimate of pole used for equation 1 Radius of convergence 0.7083429231826761 Order of pole 225.0549450549448 TOP MAIN SOLVE Loop x[1] -0.7099713420418524 y[1] (analytic) 1.9838935360653152 y[1] (numeric) 1.9838935360653351 absolute error 1.9984014443252818e-14 relative error 1.007312846176585e-12% Correct digits 13 h 0.000121972883036304 Real estimate of pole used for equation 1 Radius of convergence 0.7073707144153283 Order of pole 225.054945054946 TOP MAIN SOLVE Loop x[1] -0.7089955589775622 y[1] (analytic) 1.9893581171449217 y[1] (numeric) 1.9893581171449426 absolute error 2.0872192862952943e-14 relative error 1.0491923341036356e-12% Correct digits 13 h 0.000121972883036304 Real estimate of pole used for equation 1 Radius of convergence 0.7063985056479734 Order of pole 225.0549450549448 TOP MAIN SOLVE Loop x[1] -0.7078978030302356 y[1] (analytic) 1.995532802124872 y[1] (numeric) 1.9955328021248941 absolute error 2.220446049250313e-14 relative error 1.1127083688556512e-12% Correct digits 13 h 0.000121972883036304 Real estimate of pole used for equation 1 Radius of convergence 0.7053047707847022 Order of pole 225.0549450549446 TOP MAIN SOLVE Loop x[1] -0.7069220199659454 y[1] (analytic) 2.0010455770791693 y[1] (numeric) 2.0010455770791924 absolute error 2.3092638912203256e-14 relative error 1.1540286326666521e-12% Correct digits 13 h 0.000121972883036304 Real estimate of pole used for equation 1 Radius of convergence 0.7043325620173548 Order of pole 225.05494505494596 TOP MAIN SOLVE Loop x[1] -0.7059462369016551 y[1] (analytic) 2.006581227667653 y[1] (numeric) 2.0065812276676773 absolute error 2.4424906541753444e-14 relative error 1.2172398607627613e-12% Correct digits 13 h 0.000121972883036304 Real estimate of pole used for equation 1 Radius of convergence 0.7033603532500021 Order of pole 225.05494505494548 TOP MAIN SOLVE Loop x[1] -0.7049704538373649 y[1] (analytic) 2.0121398806309405 y[1] (numeric) 2.012139880630966 absolute error 2.531308496145357e-14 relative error 1.2580181529683823e-12% Correct digits 13 h 0.000121972883036304 Real estimate of pole used for equation 1 Radius of convergence 0.7023881444826475 Order of pole 225.05494505494445 TOP MAIN SOLVE Loop x[1] -0.7039946707730746 y[1] (analytic) 2.0177216635886106 y[1] (numeric) 2.0177216635886372 absolute error 2.6645352591003757e-14 relative error 1.320566313572397e-12% Correct digits 13 h 0.000121972883036304 Real estimate of pole used for equation 1 Radius of convergence 0.7014159357153001 Order of pole 225.0549450549458 TOP MAIN SOLVE Loop x[1] -0.7028969148257481 y[1] (analytic) 2.024028977026987 y[1] (numeric) 2.0240289770270143 absolute error 2.7533531010703882e-14 relative error 1.360332847168362e-12% Correct digits 13 h 0.000121972883036304 Real estimate of pole used for equation 1 Radius of convergence 0.7003222008520272 Order of pole 225.05494505494497 TOP MAIN SOLVE Loop x[1] -0.7019211317614579 y[1] (analytic) 2.0296603390153884 y[1] (numeric) 2.0296603390154178 absolute error 2.930988785010413e-14 relative error 1.4440784641001901e-12% Correct digits 13 h 0.000121972883036304 Real estimate of pole used for equation 1 Radius of convergence 0.699349992084675 Order of pole 225.0549450549447 TOP MAIN SOLVE Loop x[1] -0.7009453486971676 y[1] (analytic) 2.03531523555562 y[1] (numeric) 2.0353152355556503 absolute error 3.019806626980426e-14 relative error 1.483704624338475e-12% Correct digits 13 h 0.000121972883036304 Real estimate of pole used for equation 1 Radius of convergence 0.6983777833173264 Order of pole 225.05494505494565 Finished! diff ( y , x , 1 ) = m1 * 2.0 / x / x / x ; Iterations 545 Total Elapsed Time 1.0 Seconds Elapsed Time(since restart) 1.0 Seconds Time to Timeout 2 Minutes 59.0 Seconds Percent Done 100.05080241671962%